<｜begin▁of▁sentence｜>### Instruction:
Given the Karate Club graph, can you create a heatmap visualization using graspologic that categorizes the first 10 nodes into two groups and displays it without x and y ticklabels?
### Response:
import numpy as np
import networkx as nx
from graspologic.plot import heatmap

# Step 1: Create a graph
G = nx.karate_club_graph()
adjacency_matrix = nx.to_numpy_array(G)

# Step 2: Create hierarchical labels for the plot
inner_hier_labels = ['group1'] * 5 + ['group2'] * 5

# Step 3: Plot the heatmap of the graph's adjacency matrix
tax = heatmap(X=adjacency_matrix, inner_hier_labels=inner_hier_labels,
        title='Karate Club Adjacency Matrix', figsize=(10, 10), cmap='viridis',
        xticklabels=False, yticklabels=False, cbar=True)

# Show the plot
import matplotlib.pyplot as plt
plt.show()
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