Subgroups — C₉×#2472 #11767193

Order 1152.

1179 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₉×#124	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₉×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₉×#120	C₂	1	1	yes	maximal, characteristic
4	C₂²×C₉×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
5	C₉×#397	C₂	1	1	yes	maximal, characteristic, complemented
6	C₉×#394	C₂	1	1	yes	maximal, characteristic, complemented
7	C₉×#394	C₂	1	1	yes	maximal, characteristic, complemented
8	C₉×#393	C₂	1	1	yes	maximal, characteristic, complemented
9	C₉×#390	C₂	1	1	yes	maximal, characteristic, complemented
10	C₉×#388	C₂	1	1	yes	maximal, characteristic, complemented
11	C₉×#388	C₂	1	1	yes	maximal, characteristic, complemented
12	C₉×#386	C₂	1	1	yes	maximal, characteristic, complemented
13	C₉×#386	C₂	1	1	yes	maximal, characteristic, complemented
14	C₉×#379	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₉×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2472	C₃	1	1	yes	maximal, characteristic
17	C₂⁵×C₉	C₂²	1	1	yes	characteristic
18	C₂²×Q₈×C₉	C₂²	1	1	yes	characteristic, complemented
19	C₂²×D₄×C₉	C₂²	1	1	yes	characteristic
20	C₂²×D₄×C₉	C₂²	1	1	yes	characteristic
21	C₂²×D₄×C₉	C₂²	1	1	yes	characteristic
22	C₂³×C₄×C₉	C₂²	1	1	yes	characteristic
23	C₂³×C₄×C₉	C₂²	1	1	yes	characteristic
24	C₉×#124	—	2	4	no	—
25	C₉×C₂²⋊Q₈	—	2	4	no	—
26	C₉×#120	—	2	4	no	—
27	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₉×C₂²⋊C₄	—	2	4	no	—
31	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
32	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic, complemented
50	C₉×#95	C₂²	1	1	yes	characteristic, complemented
51	C₉×#95	C₂²	1	1	yes	characteristic, complemented
52	C₉×#95	C₂²	1	1	yes	characteristic, complemented
53	C₉×#95	C₂²	1	1	yes	characteristic, complemented
54	C₉×#95	C₂²	1	1	yes	characteristic, complemented
55	C₉×#95	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₃×#124	C₂×C₃	1	1	yes	characteristic
57	C₂×C₃×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic
58	C₂×C₃×#120	C₂×C₃	1	1	yes	characteristic
59	C₂²×C₃×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic
60	C₃×#397	C₂×C₃	1	1	yes	characteristic
61	C₃×#394	C₂×C₃	1	1	yes	characteristic
62	C₃×#394	C₂×C₃	1	1	yes	characteristic
63	C₃×#393	C₂×C₃	1	1	yes	characteristic
64	C₃×#390	C₂×C₃	1	1	yes	characteristic
65	C₃×#388	C₂×C₃	1	1	yes	characteristic
66	C₃×#388	C₂×C₃	1	1	yes	characteristic
67	C₃×#386	C₂×C₃	1	1	yes	characteristic
68	C₃×#386	C₂×C₃	1	1	yes	characteristic
69	C₃×#379	C₂×C₃	1	1	yes	characteristic
70	C₃×C₄×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic
71	C₂⁴×C₉	—	2	2	no	—
72	C₂⁴×C₉	—	2	2	no	—
73	C₂⁴×C₉	—	2	2	no	—
74	C₂⁴×C₉	—	2	2	no	—
75	C₂⁴×C₉	—	2	2	no	—
76	C₂⁴×C₉	—	4	1	no	—
77	C₂⁴×C₉	—	4	1	no	—
78	C₂⁴×C₉	C₂³	1	1	yes	characteristic
79	C₂⁴×C₉	C₂³	1	1	yes	characteristic
80	C₂⁴×C₉	C₂³	1	1	yes	characteristic
81	C₂⁴×C₉	C₂³	1	1	yes	characteristic
82	C₂×Q₈×C₉	—	2	2	no	—
83	C₂×Q₈×C₉	—	2	2	no	—
84	C₂×Q₈×C₉	—	4	1	no	—
85	C₂×D₄×C₉	—	2	2	no	—
86	C₂×D₄×C₉	—	2	2	no	—
87	C₂×D₄×C₉	—	2	2	no	—
88	C₂×D₄×C₉	—	2	2	no	—
89	C₂×D₄×C₉	—	2	2	no	—
90	C₂×D₄×C₉	—	2	2	no	—
91	C₂×D₄×C₉	—	2	2	no	—
92	C₂×D₄×C₉	—	4	1	no	—
93	C₂×D₄×C₉	—	4	1	no	—
94	C₂²×C₄×C₉	—	2	2	no	—
95	C₂²×C₄×C₉	—	2	2	no	—
96	C₂²×C₄×C₉	—	2	2	no	—
97	C₂²×C₄×C₉	—	2	2	no	—
98	C₂²×C₄×C₉	—	4	1	no	—
99	C₂²×C₄×C₉	—	4	1	no	—
100	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
101	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
102	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
103	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
104	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
105	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
106	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
107	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
108	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
109	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
110	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
111	C₉×C₄⋊C₄	—	2	2	no	—
112	C₉×C₄⋊C₄	—	2	2	no	—
113	C₉×C₄⋊C₄	—	2	2	no	—
114	C₉×C₂²⋊C₄	—	2	2	no	—
115	C₉×C₂²⋊C₄	—	2	2	no	—
116	C₉×C₂²⋊C₄	—	2	2	no	—
117	C₉×C₂²⋊C₄	—	2	2	no	—
118	C₉×C₂²⋊C₄	—	2	2	no	—
119	C₉×C₂²⋊C₄	—	2	2	no	—
120	C₉×C₂²⋊C₄	—	2	2	no	—
121	C₉×C₂²⋊C₄	—	2	2	no	—
122	C₉×C₂²⋊C₄	—	2	2	no	—
123	C₉×C₂²⋊C₄	—	2	2	no	—
124	C₉×C₂²⋊C₄	—	2	2	no	—
125	C₉×C₂²⋊C₄	—	4	1	no	—
126	C₉×C₂²⋊C₄	—	4	1	no	—
127	C₉×C₂²⋊C₄	—	4	1	no	—
128	C₉×C₂²⋊C₄	—	4	1	no	—
129	C₉×C₂²⋊C₄	D₄	1	4	yes	—
130	C₉×C₂²⋊C₄	D₄	1	4	yes	complemented
131	C₄²×C₉	—	2	2	no	—
132	C₄²×C₉	—	4	1	no	—
133	#2472	C₉	1	1	yes	characteristic, direct product factor, Sylow
134	C₂⁵×C₃	C₂²×C₃	1	1	yes	characteristic
135	C₂²×C₃×Q₈	C₂²×C₃	1	1	yes	characteristic
136	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
137	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
138	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
139	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
140	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
141	C₃×#124	—	2	4	no	—
142	C₃×C₂²⋊Q₈	—	2	4	no	—
143	C₃×#120	—	2	4	no	—
144	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
145	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
146	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
147	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
148	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
149	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
150	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
151	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
152	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
153	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
154	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
155	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
156	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
157	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
158	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
159	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
160	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
161	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
162	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
163	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
164	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
165	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
166	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
167	C₃×#95	C₂²×C₃	1	1	yes	characteristic
168	C₃×#95	C₂²×C₃	1	1	yes	characteristic
169	C₃×#95	C₂²×C₃	1	1	yes	characteristic
170	C₃×#95	C₂²×C₃	1	1	yes	characteristic
171	C₃×#95	C₂²×C₃	1	1	yes	characteristic
172	C₃×#95	C₂²×C₃	1	1	yes	characteristic
173	C₂³×C₉	—	2	1	no	—
174	C₂³×C₉	—	2	1	no	—
175	C₂³×C₉	—	2	1	no	—
176	C₂³×C₉	—	2	1	no	—
177	C₂³×C₉	—	2	8	no	—
178	C₂³×C₉	—	2	1	no	—
179	C₂³×C₉	—	2	1	no	—
180	C₂³×C₉	—	2	1	no	—
181	C₂³×C₉	—	2	1	no	—
182	C₂³×C₉	—	2	1	no	—
183	C₂³×C₉	—	2	1	no	—
184	C₂³×C₉	—	2	1	no	—
185	C₂³×C₉	—	2	1	no	—
186	C₂³×C₉	—	2	1	no	—
187	C₂³×C₉	—	2	1	no	—
188	C₂³×C₉	—	2	1	no	—
189	C₂³×C₉	—	2	1	no	—
190	C₂³×C₉	—	2	1	no	—
191	C₂³×C₉	—	2	1	no	—
192	C₂³×C₉	—	2	1	no	—
193	C₂³×C₉	—	2	1	no	—
194	C₂³×C₉	—	2	1	no	—
195	C₂³×C₉	—	2	1	no	—
196	C₂³×C₉	—	2	1	no	—
197	C₂³×C₉	—	4	4	no	—
198	C₂³×C₉	—	4	4	no	—
199	C₂³×C₉	—	4	4	no	—
200	C₂³×C₉	—	4	4	no	—
201	C₂³×C₉	—	4	4	no	—
202	C₂³×C₉	—	4	4	no	—
203	C₂³×C₉	C₂×D₄	1	2	yes	—
204	C₂³×C₉	C₂×D₄	1	2	yes	—
205	C₂³×C₉	#41	1	2	yes	—
206	C₂³×C₉	#41	1	2	yes	—
207	C₂³×C₉	#41	1	2	yes	—
208	C₂³×C₉	C₂⁴	1	1	yes	characteristic
209	Q₈×C₉	—	4	4	no	—
210	D₄×C₉	—	4	4	no	—
211	D₄×C₉	—	4	4	no	—
212	D₄×C₉	—	4	4	no	—
213	C₂×C₄×C₉	—	2	1	no	—
214	C₂×C₄×C₉	—	2	1	no	—
215	C₂×C₄×C₉	—	2	1	no	—
216	C₂×C₄×C₉	—	2	1	no	—
217	C₂×C₄×C₉	—	2	1	no	—
218	C₂×C₄×C₉	—	2	1	no	—
219	C₂×C₄×C₉	—	2	1	no	—
220	C₂×C₄×C₉	—	2	1	no	—
221	C₂×C₄×C₉	—	2	1	no	—
222	C₂×C₄×C₉	—	2	1	no	—
223	C₂×C₄×C₉	—	2	1	no	—
224	C₂×C₄×C₉	—	2	1	no	—
225	C₂×C₄×C₉	—	2	1	no	—
226	C₂×C₄×C₉	—	2	1	no	—
227	C₂×C₄×C₉	—	2	1	no	—
228	C₂×C₄×C₉	—	2	1	no	—
229	C₂×C₄×C₉	—	2	1	no	—
230	C₂×C₄×C₉	—	2	1	no	—
231	C₂×C₄×C₉	—	2	1	no	—
232	C₂×C₄×C₉	—	2	1	no	—
233	C₂×C₄×C₉	—	2	1	no	—
234	C₂×C₄×C₉	—	2	1	no	—
235	C₂×C₄×C₉	—	2	1	no	—
236	C₂×C₄×C₉	—	2	1	no	—
237	C₂×C₄×C₉	—	2	1	no	—
238	C₂×C₄×C₉	—	2	1	no	—
239	C₂×C₄×C₉	—	2	1	no	—
240	C₂×C₄×C₉	—	2	1	no	—
241	C₂×C₄×C₉	—	2	1	no	—
242	C₂×C₄×C₉	—	4	4	no	—
243	C₂×C₄×C₉	—	4	4	no	—
244	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
245	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
246	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
247	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
248	C₂×#124	C₂×C₉	1	1	yes	characteristic, complemented
249	C₂×C₂²⋊Q₈	C₂×C₉	1	1	yes	characteristic, complemented
250	C₂×#120	C₂×C₉	1	1	yes	characteristic
251	C₂²×C₂²⋊C₄	C₂×C₉	1	1	yes	characteristic, complemented
252	#397	C₂×C₉	1	1	yes	characteristic, complemented
253	#394	C₂×C₉	1	1	yes	characteristic, complemented
254	#394	C₂×C₉	1	1	yes	characteristic, complemented
255	#393	C₂×C₉	1	1	yes	characteristic, complemented
256	#390	C₂×C₉	1	1	yes	characteristic, complemented
257	#388	C₂×C₉	1	1	yes	characteristic, complemented
258	#388	C₂×C₉	1	1	yes	characteristic, complemented
259	#386	C₂×C₉	1	1	yes	characteristic, complemented
260	#386	C₂×C₉	1	1	yes	characteristic, complemented
261	#379	C₂×C₉	1	1	yes	characteristic, complemented
262	C₄×C₂²⋊C₄	C₂×C₉	1	1	yes	characteristic, complemented
263	C₂⁴×C₃	—	2	2	no	—
264	C₂⁴×C₃	—	2	2	no	—
265	C₂⁴×C₃	—	2	2	no	—
266	C₂⁴×C₃	—	2	2	no	—
267	C₂⁴×C₃	—	2	2	no	—
268	C₂⁴×C₃	—	4	1	no	—
269	C₂⁴×C₃	—	4	1	no	—
270	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
271	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
272	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
273	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
274	C₂×C₃×Q₈	—	2	2	no	—
275	C₂×C₃×Q₈	—	2	2	no	—
276	C₂×C₃×Q₈	—	4	1	no	—
277	C₂×C₃×D₄	—	2	2	no	—
278	C₂×C₃×D₄	—	2	2	no	—
279	C₂×C₃×D₄	—	2	2	no	—
280	C₂×C₃×D₄	—	2	2	no	—
281	C₂×C₃×D₄	—	2	2	no	—
282	C₂×C₃×D₄	—	2	2	no	—
283	C₂×C₃×D₄	—	2	2	no	—
284	C₂×C₃×D₄	—	4	1	no	—
285	C₂×C₃×D₄	—	4	1	no	—
286	C₂²×C₃×C₄	—	2	2	no	—
287	C₂²×C₃×C₄	—	2	2	no	—
288	C₂²×C₃×C₄	—	2	2	no	—
289	C₂²×C₃×C₄	—	2	2	no	—
290	C₂²×C₃×C₄	—	4	1	no	—
291	C₂²×C₃×C₄	—	4	1	no	—
292	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
293	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
294	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
295	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
296	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
297	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
298	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
299	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
300	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
301	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
302	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
303	C₃×C₄⋊C₄	—	2	2	no	—
304	C₃×C₄⋊C₄	—	2	2	no	—
305	C₃×C₄⋊C₄	—	2	2	no	—
306	C₃×C₂²⋊C₄	—	2	2	no	—
307	C₃×C₂²⋊C₄	—	2	2	no	—
308	C₃×C₂²⋊C₄	—	2	2	no	—
309	C₃×C₂²⋊C₄	—	2	2	no	—
310	C₃×C₂²⋊C₄	—	2	2	no	—
311	C₃×C₂²⋊C₄	—	2	2	no	—
312	C₃×C₂²⋊C₄	—	2	2	no	—
313	C₃×C₂²⋊C₄	—	2	2	no	—
314	C₃×C₂²⋊C₄	—	2	2	no	—
315	C₃×C₂²⋊C₄	—	2	2	no	—
316	C₃×C₂²⋊C₄	—	2	2	no	—
317	C₃×C₂²⋊C₄	—	4	1	no	—
318	C₃×C₂²⋊C₄	—	4	1	no	—
319	C₃×C₂²⋊C₄	—	4	1	no	—
320	C₃×C₂²⋊C₄	—	4	1	no	—
321	C₃×C₂²⋊C₄	C₃×D₄	1	4	yes	—
322	C₃×C₂²⋊C₄	C₃×D₄	1	4	yes	—
323	C₃×C₄²	—	2	2	no	—
324	C₃×C₄²	—	4	1	no	—
325	C₂²×C₉	—	2	2	no	—
326	C₂²×C₉	—	2	2	no	—
327	C₂²×C₉	—	2	2	no	—
328	C₂²×C₉	—	2	2	no	—
329	C₂²×C₉	—	2	2	no	—
330	C₂²×C₉	—	2	2	no	—
331	C₂²×C₉	—	2	2	no	—
332	C₂²×C₉	—	2	2	no	—
333	C₂²×C₉	—	2	2	no	—
334	C₂²×C₉	—	2	2	no	—
335	C₂²×C₉	—	2	2	no	—
336	C₂²×C₉	—	2	2	no	—
337	C₂²×C₉	—	4	16	no	—
338	C₂²×C₉	—	4	1	no	—
339	C₂²×C₉	—	4	1	no	—
340	C₂²×C₉	—	4	1	no	—
341	C₂²×C₉	—	4	1	no	—
342	C₂²×C₉	—	4	1	no	—
343	C₂²×C₉	—	4	1	no	—
344	C₂²×C₉	—	4	1	no	—
345	C₂²×C₉	—	4	1	no	—
346	C₂²×C₉	—	4	1	no	—
347	C₂²×C₉	—	4	1	no	—
348	C₂²×C₉	—	4	1	no	—
349	C₂²×C₉	—	4	1	no	—
350	C₂²×C₉	—	4	1	no	—
351	C₂²×C₉	—	4	1	no	—
352	C₂²×C₉	—	4	1	no	—
353	C₂²×C₉	#124	1	4	yes	complemented
354	C₂²×C₉	C₂²×D₄	1	1	yes	characteristic
355	C₂²×C₉	C₂²×D₄	1	1	yes	characteristic
356	C₂²×C₉	C₂×#41	1	1	yes	characteristic
357	C₂²×C₉	C₂×#41	1	1	yes	characteristic
358	C₂²×C₉	C₂×#41	1	1	yes	characteristic
359	C₂²×C₉	H(5,𝔽₂)	1	1	yes	characteristic
360	C₂²×C₉	H(5,𝔽₂)	1	1	yes	characteristic
361	C₄×C₉	—	2	2	no	—
362	C₄×C₉	—	2	2	no	—
363	C₄×C₉	—	2	2	no	—
364	C₄×C₉	—	2	2	no	—
365	C₄×C₉	—	4	1	no	—
366	C₄×C₉	—	4	1	no	—
367	C₄×C₉	—	4	1	no	—
368	C₄×C₉	—	4	1	no	—
369	C₄×C₉	—	4	1	no	—
370	C₄×C₉	—	4	1	no	—
371	C₄×C₉	—	4	1	no	—
372	C₂⁵	C₂²×C₉	1	1	yes	characteristic
373	C₂²×Q₈	C₂²×C₉	1	1	yes	characteristic, complemented
374	C₂²×D₄	C₂²×C₉	1	1	yes	characteristic
375	C₂²×D₄	C₂²×C₉	1	1	yes	characteristic
376	C₂²×D₄	C₂²×C₉	1	1	yes	characteristic
377	C₂³×C₄	C₂²×C₉	1	1	yes	characteristic
378	C₂³×C₄	C₂²×C₉	1	1	yes	characteristic
379	#124	—	2	4	no	—
380	C₂²⋊Q₈	—	2	4	no	—
381	#120	—	2	4	no	—
382	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic, complemented
383	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic, complemented
384	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic, complemented
385	C₂×C₂²⋊C₄	—	2	4	no	—
386	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
387	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
388	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
389	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
390	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
391	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
392	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
393	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
394	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
395	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
396	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
397	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
398	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
399	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic, complemented
400	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic, complemented
401	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic, complemented
402	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic, complemented
403	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic, complemented
404	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic, complemented
405	#95	C₂²×C₉	1	1	yes	characteristic, complemented
406	#95	C₂²×C₉	1	1	yes	characteristic, complemented
407	#95	C₂²×C₉	1	1	yes	characteristic, complemented
408	#95	C₂²×C₉	1	1	yes	characteristic, complemented
409	#95	C₂²×C₉	1	1	yes	characteristic, complemented
410	#95	C₂²×C₉	1	1	yes	characteristic, complemented
411	C₂³×C₃	—	2	1	no	—
412	C₂³×C₃	—	2	1	no	—
413	C₂³×C₃	—	2	1	no	—
414	C₂³×C₃	—	2	1	no	—
415	C₂³×C₃	—	2	8	no	—
416	C₂³×C₃	—	2	1	no	—
417	C₂³×C₃	—	2	1	no	—
418	C₂³×C₃	—	2	1	no	—
419	C₂³×C₃	—	2	1	no	—
420	C₂³×C₃	—	2	1	no	—
421	C₂³×C₃	—	2	1	no	—
422	C₂³×C₃	—	2	1	no	—
423	C₂³×C₃	—	2	1	no	—
424	C₂³×C₃	—	2	1	no	—
425	C₂³×C₃	—	2	1	no	—
426	C₂³×C₃	—	2	1	no	—
427	C₂³×C₃	—	2	1	no	—
428	C₂³×C₃	—	2	1	no	—
429	C₂³×C₃	—	2	1	no	—
430	C₂³×C₃	—	2	1	no	—
431	C₂³×C₃	—	2	1	no	—
432	C₂³×C₃	—	2	1	no	—
433	C₂³×C₃	—	2	1	no	—
434	C₂³×C₃	—	2	1	no	—
435	C₂³×C₃	—	4	4	no	—
436	C₂³×C₃	—	4	4	no	—
437	C₂³×C₃	—	4	4	no	—
438	C₂³×C₃	—	4	4	no	—
439	C₂³×C₃	—	4	4	no	—
440	C₂³×C₃	—	4	4	no	—
441	C₂³×C₃	C₂×C₃×D₄	1	2	yes	—
442	C₂³×C₃	C₂×C₃×D₄	1	2	yes	—
443	C₂³×C₃	C₃×#41	1	2	yes	—
444	C₂³×C₃	C₃×#41	1	2	yes	—
445	C₂³×C₃	C₃×#41	1	2	yes	—
446	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
447	C₃×Q₈	—	4	4	no	—
448	C₃×D₄	—	4	4	no	—
449	C₃×D₄	—	4	4	no	—
450	C₃×D₄	—	4	4	no	—
451	C₂×C₃×C₄	—	2	1	no	—
452	C₂×C₃×C₄	—	2	1	no	—
453	C₂×C₃×C₄	—	2	1	no	—
454	C₂×C₃×C₄	—	2	1	no	—
455	C₂×C₃×C₄	—	2	1	no	—
456	C₂×C₃×C₄	—	2	1	no	—
457	C₂×C₃×C₄	—	2	1	no	—
458	C₂×C₃×C₄	—	2	1	no	—
459	C₂×C₃×C₄	—	2	1	no	—
460	C₂×C₃×C₄	—	2	1	no	—
461	C₂×C₃×C₄	—	2	1	no	—
462	C₂×C₃×C₄	—	2	1	no	—
463	C₂×C₃×C₄	—	2	1	no	—
464	C₂×C₃×C₄	—	2	1	no	—
465	C₂×C₃×C₄	—	2	1	no	—
466	C₂×C₃×C₄	—	2	1	no	—
467	C₂×C₃×C₄	—	2	1	no	—
468	C₂×C₃×C₄	—	2	1	no	—
469	C₂×C₃×C₄	—	2	1	no	—
470	C₂×C₃×C₄	—	2	1	no	—
471	C₂×C₃×C₄	—	2	1	no	—
472	C₂×C₃×C₄	—	2	1	no	—
473	C₂×C₃×C₄	—	2	1	no	—
474	C₂×C₃×C₄	—	2	1	no	—
475	C₂×C₃×C₄	—	2	1	no	—
476	C₂×C₃×C₄	—	2	1	no	—
477	C₂×C₃×C₄	—	2	1	no	—
478	C₂×C₃×C₄	—	2	1	no	—
479	C₂×C₃×C₄	—	2	1	no	—
480	C₂×C₃×C₄	—	4	4	no	—
481	C₂×C₃×C₄	—	4	4	no	—
482	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
483	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
484	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
485	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
486	C₂×C₉	—	2	4	no	—
487	C₂×C₉	—	4	2	no	—
488	C₂×C₉	—	4	2	no	—
489	C₂×C₉	—	8	1	no	—
490	C₂×C₉	#525	1	1	yes	characteristic
491	C₂×C₉	C₂×#124	1	1	yes	characteristic
492	C₂×C₉	#538	1	1	yes	characteristic
493	C₂×C₉	D₄²	1	1	yes	characteristic
494	C₂×C₉	#546	1	1	yes	characteristic
495	C₂×C₉	#546	1	1	yes	characteristic
496	C₂×C₉	#551	1	1	yes	characteristic
497	C₂⁴	—	2	2	no	—
498	C₂⁴	—	2	2	no	—
499	C₂⁴	—	2	2	no	—
500	C₂⁴	—	2	2	no	—
501	C₂⁴	—	2	2	no	—
502	C₂⁴	—	4	1	no	—
503	C₂⁴	—	4	1	no	—
504	C₂⁴	C₂³×C₉	1	1	yes	characteristic
505	C₂⁴	C₂³×C₉	1	1	yes	characteristic
506	C₂⁴	C₂³×C₉	1	1	yes	characteristic
507	C₂⁴	C₂³×C₉	1	1	yes	characteristic
508	C₂×Q₈	—	2	2	no	—
509	C₂×Q₈	—	2	2	no	—
510	C₂×Q₈	—	4	1	no	—
511	C₂×D₄	—	2	2	no	—
512	C₂×D₄	—	2	2	no	—
513	C₂×D₄	—	2	2	no	—
514	C₂×D₄	—	2	2	no	—
515	C₂×D₄	—	2	2	no	—
516	C₂×D₄	—	2	2	no	—
517	C₂×D₄	—	2	2	no	—
518	C₂×D₄	—	4	1	no	—
519	C₂×D₄	—	4	1	no	—
520	C₂²×C₄	—	2	2	no	—
521	C₂²×C₄	—	2	2	no	—
522	C₂²×C₄	—	2	2	no	—
523	C₂²×C₄	—	2	2	no	—
524	C₂²×C₄	—	4	1	no	—
525	C₂²×C₄	—	4	1	no	—
526	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
527	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
528	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
529	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
530	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
531	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
532	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
533	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
534	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
535	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
536	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
537	C₄⋊C₄	—	2	2	no	—
538	C₄⋊C₄	—	2	2	no	—
539	C₄⋊C₄	—	2	2	no	—
540	C₂²⋊C₄	—	2	2	no	—
541	C₂²⋊C₄	—	2	2	no	—
542	C₂²⋊C₄	—	2	2	no	—
543	C₂²⋊C₄	—	2	2	no	—
544	C₂²⋊C₄	—	2	2	no	—
545	C₂²⋊C₄	—	2	2	no	—
546	C₂²⋊C₄	—	2	2	no	—
547	C₂²⋊C₄	—	2	2	no	—
548	C₂²⋊C₄	—	2	2	no	—
549	C₂²⋊C₄	—	2	2	no	—
550	C₂²⋊C₄	—	2	2	no	—
551	C₂²⋊C₄	—	4	1	no	—
552	C₂²⋊C₄	—	4	1	no	—
553	C₂²⋊C₄	—	4	1	no	—
554	C₂²⋊C₄	—	4	1	no	—
555	C₂²⋊C₄	D₄×C₉	1	4	yes	—
556	C₂²⋊C₄	D₄×C₉	1	4	yes	complemented
557	C₄²	—	2	2	no	—
558	C₄²	—	4	1	no	—
559	C₂²×C₃	—	2	2	no	—
560	C₂²×C₃	—	2	2	no	—
561	C₂²×C₃	—	2	2	no	—
562	C₂²×C₃	—	2	2	no	—
563	C₂²×C₃	—	2	2	no	—
564	C₂²×C₃	—	2	2	no	—
565	C₂²×C₃	—	2	2	no	—
566	C₂²×C₃	—	2	2	no	—
567	C₂²×C₃	—	2	2	no	—
568	C₂²×C₃	—	2	2	no	—
569	C₂²×C₃	—	2	2	no	—
570	C₂²×C₃	—	2	2	no	—
571	C₂²×C₃	—	4	16	no	—
572	C₂²×C₃	—	4	1	no	—
573	C₂²×C₃	—	4	1	no	—
574	C₂²×C₃	—	4	1	no	—
575	C₂²×C₃	—	4	1	no	—
576	C₂²×C₃	—	4	1	no	—
577	C₂²×C₃	—	4	1	no	—
578	C₂²×C₃	—	4	1	no	—
579	C₂²×C₃	—	4	1	no	—
580	C₂²×C₃	—	4	1	no	—
581	C₂²×C₃	—	4	1	no	—
582	C₂²×C₃	—	4	1	no	—
583	C₂²×C₃	—	4	1	no	—
584	C₂²×C₃	—	4	1	no	—
585	C₂²×C₃	—	4	1	no	—
586	C₂²×C₃	—	4	1	no	—
587	C₂²×C₃	C₃×#124	1	4	yes	—
588	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
589	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
590	C₂²×C₃	C₂×C₃×#41	1	1	yes	characteristic
591	C₂²×C₃	C₂×C₃×#41	1	1	yes	characteristic
592	C₂²×C₃	C₂×C₃×#41	1	1	yes	characteristic
593	C₂²×C₃	C₃×H(5,𝔽₂)	1	1	yes	characteristic
594	C₂²×C₃	C₃×H(5,𝔽₂)	1	1	yes	characteristic
595	C₃×C₄	—	2	2	no	—
596	C₃×C₄	—	2	2	no	—
597	C₃×C₄	—	2	2	no	—
598	C₃×C₄	—	2	2	no	—
599	C₃×C₄	—	4	1	no	—
600	C₃×C₄	—	4	1	no	—
601	C₃×C₄	—	4	1	no	—
602	C₃×C₄	—	4	1	no	—
603	C₃×C₄	—	4	1	no	—
604	C₃×C₄	—	4	1	no	—
605	C₃×C₄	—	4	1	no	—
606	C₉	#2472	1	1	yes	characteristic, direct product factor, Sylow
607	C₂³	—	2	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	2	8	no	—
612	C₂³	—	2	1	no	—
613	C₂³	—	2	1	no	—
614	C₂³	—	2	1	no	—
615	C₂³	—	2	1	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	1	no	—
619	C₂³	—	2	1	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	4	4	no	—
632	C₂³	—	4	4	no	—
633	C₂³	—	4	4	no	—
634	C₂³	—	4	4	no	—
635	C₂³	—	4	4	no	—
636	C₂³	—	4	4	no	—
637	C₂³	C₂×D₄×C₉	1	2	yes	—
638	C₂³	C₂×D₄×C₉	1	2	yes	—
639	C₂³	C₉×#41	1	2	yes	—
640	C₂³	C₉×#41	1	2	yes	—
641	C₂³	C₉×#41	1	2	yes	—
642	C₂³	C₂⁴×C₉	1	1	yes	characteristic
643	Q₈	—	4	4	no	—
644	D₄	—	4	4	no	—
645	D₄	—	4	4	no	—
646	D₄	—	4	4	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	2	1	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	4	4	no	—
677	C₂×C₄	—	4	4	no	—
678	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
679	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
680	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
681	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
682	C₂×C₃	—	2	4	no	—
683	C₂×C₃	—	4	2	no	—
684	C₂×C₃	—	4	2	no	—
685	C₂×C₃	—	8	1	no	—
686	C₂×C₃	C₃×#525	1	1	yes	characteristic
687	C₂×C₃	C₂×C₃×#124	1	1	yes	characteristic
688	C₂×C₃	C₃×#538	1	1	yes	characteristic
689	C₂×C₃	C₃×D₄²	1	1	yes	characteristic
690	C₂×C₃	C₃×#546	1	1	yes	characteristic
691	C₂×C₃	C₃×#546	1	1	yes	characteristic
692	C₂×C₃	C₃×#551	1	1	yes	characteristic
693	C₂²	—	2	2	no	—
694	C₂²	—	2	2	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	2	no	—
699	C₂²	—	2	2	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	2	no	—
702	C₂²	—	2	2	no	—
703	C₂²	—	2	2	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	4	16	no	—
706	C₂²	—	4	1	no	—
707	C₂²	—	4	1	no	—
708	C₂²	—	4	1	no	—
709	C₂²	—	4	1	no	—
710	C₂²	—	4	1	no	—
711	C₂²	—	4	1	no	—
712	C₂²	—	4	1	no	—
713	C₂²	—	4	1	no	—
714	C₂²	—	4	1	no	—
715	C₂²	—	4	1	no	—
716	C₂²	—	4	1	no	—
717	C₂²	—	4	1	no	—
718	C₂²	—	4	1	no	—
719	C₂²	—	4	1	no	—
720	C₂²	—	4	1	no	—
721	C₂²	C₉×#124	1	4	yes	complemented
722	C₂²	C₂²×D₄×C₉	1	1	yes	characteristic
723	C₂²	C₂²×D₄×C₉	1	1	yes	characteristic
724	C₂²	C₂×C₉×#41	1	1	yes	characteristic
725	C₂²	C₂×C₉×#41	1	1	yes	characteristic
726	C₂²	C₂×C₉×#41	1	1	yes	characteristic
727	C₂²	C₉×H(5,𝔽₂)	1	1	yes	characteristic
728	C₂²	C₉×H(5,𝔽₂)	1	1	yes	characteristic
729	C₄	—	2	2	no	—
730	C₄	—	2	2	no	—
731	C₄	—	2	2	no	—
732	C₄	—	2	2	no	—
733	C₄	—	4	1	no	—
734	C₄	—	4	1	no	—
735	C₄	—	4	1	no	—
736	C₄	—	4	1	no	—
737	C₄	—	4	1	no	—
738	C₄	—	4	1	no	—
739	C₄	—	4	1	no	—
740	C₃	C₃×#2472	1	1	yes	characteristic
741	C₂	—	2	4	no	—
742	C₂	—	4	2	no	—
743	C₂	—	4	2	no	—
744	C₂	—	8	1	no	—
745	C₂	C₉×#525	1	1	yes	characteristic
746	C₂	C₂×C₉×#124	1	1	yes	characteristic
747	C₂	C₉×#538	1	1	yes	characteristic
748	C₂	D₄²×C₉	1	1	yes	characteristic
749	C₂	C₉×#546	1	1	yes	characteristic
750	C₂	C₉×#546	1	1	yes	characteristic
751	C₂	C₉×#551	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₉	C₂⁴
commutator	C₂³	C₂⁴×C₉
Frattini, socle, cosocle	C₂³×C₃	C₂⁴×C₃
prime radical	C₂×C₃×#120	C₂×C₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×C₉×#124	C₂	semidirect
2. C₂×C₉×C₂²⋊Q₈	C₂	semidirect
4. C₂²×C₉×C₂²⋊C₄	C₂	semidirect
5. C₉×#397	C₂	semidirect
6. C₉×#394	C₂	semidirect
7. C₉×#394	C₂	semidirect
8. C₉×#393	C₂	semidirect
9. C₉×#390	C₂	semidirect
10. C₉×#388	C₂	semidirect
11. C₉×#388	C₂	semidirect
12. C₉×#386	C₂	semidirect
13. C₉×#386	C₂	semidirect
14. C₉×#379	C₂	semidirect
15. C₄×C₉×C₂²⋊C₄	C₂	semidirect
18. C₂²×Q₈×C₉	C₂²	semidirect
27. C₂×C₉×C₄⋊C₄	C₂²	semidirect
28. C₂×C₉×C₄⋊C₄	C₂²	semidirect
29. C₂×C₉×C₄⋊C₄	C₂²	semidirect
44. C₂×C₉×C₂²⋊C₄	C₂²	semidirect
45. C₂×C₉×C₂²⋊C₄	C₂²	semidirect
46. C₂×C₉×C₂²⋊C₄	C₂²	semidirect
47. C₂×C₉×C₂²⋊C₄	C₂²	semidirect
48. C₂×C₄²×C₉	C₂²	semidirect
49. C₂×C₄²×C₉	C₂²	semidirect
50. C₉×#95	C₂²	semidirect
51. C₉×#95	C₂²	semidirect
52. C₉×#95	C₂²	semidirect
53. C₉×#95	C₂²	semidirect
54. C₉×#95	C₂²	semidirect
55. C₉×#95	C₂²	semidirect
130. C₉×C₂²⋊C₄	D₄	semidirect
133. #2472	C₉	direct (N × H)
248. C₂×#124	C₂×C₉	semidirect
249. C₂×C₂²⋊Q₈	C₂×C₉	semidirect
251. C₂²×C₂²⋊C₄	C₂×C₉	semidirect
252. #397	C₂×C₉	semidirect
253. #394	C₂×C₉	semidirect
254. #394	C₂×C₉	semidirect
255. #393	C₂×C₉	semidirect
256. #390	C₂×C₉	semidirect
257. #388	C₂×C₉	semidirect
258. #388	C₂×C₉	semidirect
259. #386	C₂×C₉	semidirect
260. #386	C₂×C₉	semidirect
261. #379	C₂×C₉	semidirect
262. C₄×C₂²⋊C₄	C₂×C₉	semidirect
353. C₂²×C₉	#124	semidirect
373. C₂²×Q₈	C₂²×C₉	semidirect
382. C₂×C₄⋊C₄	C₂²×C₉	semidirect
383. C₂×C₄⋊C₄	C₂²×C₉	semidirect
384. C₂×C₄⋊C₄	C₂²×C₉	semidirect
399. C₂×C₂²⋊C₄	C₂²×C₉	semidirect
400. C₂×C₂²⋊C₄	C₂²×C₉	semidirect
401. C₂×C₂²⋊C₄	C₂²×C₉	semidirect
402. C₂×C₂²⋊C₄	C₂²×C₉	semidirect
403. C₂×C₄²	C₂²×C₉	semidirect
404. C₂×C₄²	C₂²×C₉	semidirect
405. #95	C₂²×C₉	semidirect
406. #95	C₂²×C₉	semidirect
407. #95	C₂²×C₉	semidirect
408. #95	C₂²×C₉	semidirect
409. #95	C₂²×C₉	semidirect
410. #95	C₂²×C₉	semidirect
556. C₂²⋊C₄	D₄×C₉	semidirect
606. C₉	#2472	direct (N × H)
721. C₂²	C₉×#124	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₉×#124	2
C₂×C₉×C₂²⋊Q₈	2
C₂×C₉×#120	2
C₂²×C₉×C₂²⋊C₄	2
C₉×#397	2
C₉×#394	2
C₉×#393	2
C₉×#390	2
C₉×#388	2
C₉×#386	2
C₉×#379	2
C₄×C₉×C₂²⋊C₄	2
C₃×#2472	3

Subgroups — C9×#2472 #11767193

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#2472 #11767193