Subgroups — C₂×C₉×#548 #11768186

Order 1152.

2430 conjugacy classes of subgroups.

The subgroup lattice has 318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₉×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×Q₈×C₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₉×#548	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₉×#124	C₂	1	3	yes	maximal, complemented
5	C₂×C₉×C₂²⋊Q₈	C₂	1	3	yes	maximal, complemented
6	C₂×C₉×#121	C₂	1	3	yes	maximal, complemented
7	C₂×C₄×Q₈×C₉	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×D₄×C₉	C₂	1	3	yes	maximal, complemented
9	C₂×C₃×#548	C₃	1	1	yes	maximal, characteristic
10	C₂×C₉×#41	—	2	8	no	—
11	C₂×C₉×#41	C₂²	1	8	yes	complemented
12	C₂²×Q₈×C₉	—	2	8	no	—
13	C₂²×Q₈×C₉	C₂²	1	3	yes	—
14	C₂²×Q₈×C₉	C₂²	1	1	yes	characteristic
15	C₂²×Q₈×C₉	C₂²	1	8	yes	complemented
16	C₂²×D₄×C₉	C₂²	1	3	yes	—
17	C₂²×D₄×C₉	C₂²	1	3	yes	—
18	C₂³×C₄×C₉	C₂²	1	3	yes	—
19	C₂³×C₄×C₉	C₂²	1	3	yes	—
20	C₉×#124	C₂²	1	24	yes	complemented
21	C₉×C₂²⋊Q₈	C₂²	1	24	yes	complemented
22	C₉×#121	C₂²	1	24	yes	complemented
23	C₄×Q₈×C₉	C₂²	1	8	yes	complemented
24	C₄×D₄×C₉	C₂²	1	24	yes	complemented
25	C₂×C₉×C₄⋊C₄	C₂²	1	3	yes	—
26	C₂×C₉×C₄⋊C₄	C₂²	1	3	yes	—
27	C₂×C₉×C₂²⋊C₄	C₂²	1	6	yes	—
28	C₂×C₉×C₂²⋊C₄	C₂²	1	3	yes	—
29	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	C₂×C₄²×C₉	C₂²	1	3	yes	—
31	C₂²×C₃×#41	C₂×C₃	1	1	yes	characteristic
32	C₂³×C₃×Q₈	C₂×C₃	1	1	yes	characteristic
33	C₃×#548	C₂×C₃	1	16	yes	—
34	C₂×C₃×#124	C₂×C₃	1	3	yes	—
35	C₂×C₃×C₂²⋊Q₈	C₂×C₃	1	3	yes	—
36	C₂×C₃×#121	C₂×C₃	1	3	yes	—
37	C₂×C₃×C₄×Q₈	C₂×C₃	1	1	yes	characteristic
38	C₂×C₃×C₄×D₄	C₂×C₃	1	3	yes	—
39	C₂⁴×C₉	C₂³	1	3	yes	—
40	C₂⁴×C₉	C₂³	1	1	yes	characteristic
41	C₉×#41	—	2	32	no	—
42	C₂×Q₈×C₉	—	2	32	no	—
43	C₂×Q₈×C₉	—	2	12	no	—
44	C₂×Q₈×C₉	D₄	1	8	yes	complemented
45	C₂×Q₈×C₉	C₂³	1	12	yes	—
46	C₂×Q₈×C₉	C₂³	1	4	yes	—
47	C₂×D₄×C₉	—	2	12	no	—
48	C₂×D₄×C₉	—	2	12	no	—
49	C₂×D₄×C₉	C₂³	1	12	yes	—
50	C₂×D₄×C₉	C₂³	1	12	yes	—
51	C₂²×C₄×C₉	—	2	12	no	—
52	C₂²×C₄×C₉	—	2	12	no	—
53	C₂²×C₄×C₉	C₂³	1	12	yes	—
54	C₂²×C₄×C₉	C₂³	1	12	yes	—
55	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
56	C₂²×C₄×C₉	C₂³	1	3	yes	—
57	C₂²×C₄×C₉	C₂³	1	3	yes	—
58	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
59	C₂²×C₄×C₉	C₂³	1	3	yes	—
60	C₉×C₄⋊C₄	C₂³	1	12	yes	—
61	C₉×C₄⋊C₄	C₂³	1	12	yes	—
62	C₉×C₂²⋊C₄	C₂³	1	4	yes	—
63	C₉×C₂²⋊C₄	C₂³	1	12	yes	—
64	C₉×C₂²⋊C₄	C₂³	1	24	yes	—
65	C₄²×C₉	C₂³	1	12	yes	—
66	C₂×#548	C₉	1	1	yes	characteristic, direct product factor, Sylow
67	C₂×C₃×#41	—	2	8	no	—
68	C₂×C₃×#41	C₂²×C₃	1	8	yes	—
69	C₂²×C₃×Q₈	—	2	8	no	—
70	C₂²×C₃×Q₈	C₂²×C₃	1	3	yes	—
71	C₂²×C₃×Q₈	C₂²×C₃	1	1	yes	characteristic
72	C₂²×C₃×Q₈	C₂²×C₃	1	8	yes	—
73	C₂²×C₃×D₄	C₂²×C₃	1	3	yes	—
74	C₂²×C₃×D₄	C₂²×C₃	1	3	yes	—
75	C₂³×C₃×C₄	C₂²×C₃	1	3	yes	—
76	C₂³×C₃×C₄	C₂²×C₃	1	3	yes	—
77	C₃×#124	C₂²×C₃	1	24	yes	—
78	C₃×C₂²⋊Q₈	C₂²×C₃	1	24	yes	—
79	C₃×#121	C₂²×C₃	1	24	yes	—
80	C₃×C₄×Q₈	C₂²×C₃	1	8	yes	—
81	C₃×C₄×D₄	C₂²×C₃	1	24	yes	—
82	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	3	yes	—
83	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	3	yes	—
84	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
85	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	3	yes	—
86	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	6	yes	—
87	C₂×C₃×C₄²	C₂²×C₃	1	3	yes	—
88	C₂³×C₉	—	2	2	no	—
89	C₂³×C₉	—	2	2	no	—
90	C₂³×C₉	—	2	6	no	—
91	C₂³×C₉	—	2	6	no	—
92	C₂³×C₉	—	2	6	no	—
93	C₂³×C₉	#41	1	4	yes	complemented
94	C₂³×C₉	C₂⁴	1	6	yes	—
95	C₂³×C₉	C₂⁴	1	2	yes	—
96	C₂³×C₉	C₂⁴	1	1	yes	characteristic
97	Q₈×C₉	—	2	24	no	—
98	Q₈×C₉	C₂×D₄	1	16	yes	complemented
99	D₄×C₉	—	2	24	no	—
100	D₄×C₉	—	2	24	no	—
101	C₂×C₄×C₉	—	2	2	no	—
102	C₂×C₄×C₉	—	2	6	no	—
103	C₂×C₄×C₉	—	2	6	no	—
104	C₂×C₄×C₉	—	2	2	no	—
105	C₂×C₄×C₉	—	2	24	no	—
106	C₂×C₄×C₉	—	2	24	no	—
107	C₂×C₄×C₉	C₂×D₄	1	12	yes	—
108	C₂×C₄×C₉	C₂⁴	1	2	yes	—
109	C₂×C₄×C₉	C₂⁴	1	6	yes	—
110	C₂×C₄×C₉	C₂⁴	1	6	yes	—
111	C₂×C₄×C₉	C₂⁴	1	2	yes	—
112	C₂×C₄×C₉	C₂⁴	1	6	yes	—
113	C₂²×#41	C₂×C₉	1	1	yes	characteristic, complemented
114	C₂³×Q₈	C₂×C₉	1	1	yes	characteristic, complemented
115	#548	C₂×C₉	1	16	yes	direct product factor
116	C₂×#124	C₂×C₉	1	3	yes	complemented
117	C₂×C₂²⋊Q₈	C₂×C₉	1	3	yes	complemented
118	C₂×#121	C₂×C₉	1	3	yes	complemented
119	C₂×C₄×Q₈	C₂×C₉	1	1	yes	characteristic, complemented
120	C₂×C₄×D₄	C₂×C₉	1	3	yes	complemented
121	C₂⁴×C₃	C₂³×C₃	1	3	yes	—
122	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
123	C₃×#41	—	2	32	no	—
124	C₂×C₃×Q₈	—	2	32	no	—
125	C₂×C₃×Q₈	—	2	12	no	—
126	C₂×C₃×Q₈	C₃×D₄	1	8	yes	—
127	C₂×C₃×Q₈	C₂³×C₃	1	12	yes	—
128	C₂×C₃×Q₈	C₂³×C₃	1	4	yes	—
129	C₂×C₃×D₄	—	2	12	no	—
130	C₂×C₃×D₄	—	2	12	no	—
131	C₂×C₃×D₄	C₂³×C₃	1	12	yes	—
132	C₂×C₃×D₄	C₂³×C₃	1	12	yes	—
133	C₂²×C₃×C₄	—	2	12	no	—
134	C₂²×C₃×C₄	—	2	12	no	—
135	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
136	C₂²×C₃×C₄	C₂³×C₃	1	3	yes	—
137	C₂²×C₃×C₄	C₂³×C₃	1	3	yes	—
138	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
139	C₂²×C₃×C₄	C₂³×C₃	1	12	yes	—
140	C₂²×C₃×C₄	C₂³×C₃	1	12	yes	—
141	C₂²×C₃×C₄	C₂³×C₃	1	3	yes	—
142	C₃×C₄⋊C₄	C₂³×C₃	1	12	yes	—
143	C₃×C₄⋊C₄	C₂³×C₃	1	12	yes	—
144	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
145	C₃×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
146	C₃×C₂²⋊C₄	C₂³×C₃	1	24	yes	—
147	C₃×C₄²	C₂³×C₃	1	12	yes	—
148	C₂²×C₉	—	2	8	no	—
149	C₂²×C₉	—	2	2	no	—
150	C₂²×C₉	—	2	2	no	—
151	C₂²×C₉	—	2	6	no	—
152	C₂²×C₉	—	2	6	no	—
153	C₂²×C₉	—	2	6	no	—
154	C₂²×C₉	—	4	12	no	—
155	C₂²×C₉	C₂²×D₄	1	2	yes	—
156	C₂²×C₉	C₂×#41	1	2	yes	—
157	C₂²×C₉	C₂×#41	1	4	yes	complemented
158	C₂²×C₉	2₋¹⁺⁴	1	2	yes	—
159	C₂²×C₉	C₂⁵	1	1	yes	characteristic
160	C₄×C₉	—	2	2	no	—
161	C₄×C₉	—	2	6	no	—
162	C₄×C₉	—	2	6	no	—
163	C₄×C₉	—	2	2	no	—
164	C₄×C₉	C₂²×D₄	1	12	yes	—
165	C₂×#41	—	2	8	no	—
166	C₂×#41	C₂²×C₉	1	8	yes	complemented
167	C₂²×Q₈	—	2	8	no	—
168	C₂²×Q₈	C₂²×C₉	1	3	yes	—
169	C₂²×Q₈	C₂²×C₉	1	1	yes	characteristic
170	C₂²×Q₈	C₂²×C₉	1	8	yes	complemented
171	C₂²×D₄	C₂²×C₉	1	3	yes	—
172	C₂²×D₄	C₂²×C₉	1	3	yes	—
173	C₂³×C₄	C₂²×C₉	1	3	yes	—
174	C₂³×C₄	C₂²×C₉	1	3	yes	—
175	#124	C₂²×C₉	1	24	yes	complemented
176	C₂²⋊Q₈	C₂²×C₉	1	24	yes	complemented
177	#121	C₂²×C₉	1	24	yes	complemented
178	C₄×Q₈	C₂²×C₉	1	8	yes	complemented
179	C₄×D₄	C₂²×C₉	1	24	yes	complemented
180	C₂×C₄⋊C₄	C₂²×C₉	1	3	yes	—
181	C₂×C₄⋊C₄	C₂²×C₉	1	3	yes	—
182	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
183	C₂×C₂²⋊C₄	C₂²×C₉	1	3	yes	—
184	C₂×C₂²⋊C₄	C₂²×C₉	1	6	yes	—
185	C₂×C₄²	C₂²×C₉	1	3	yes	—
186	C₂³×C₃	—	2	2	no	—
187	C₂³×C₃	—	2	2	no	—
188	C₂³×C₃	—	2	6	no	—
189	C₂³×C₃	—	2	6	no	—
190	C₂³×C₃	—	2	6	no	—
191	C₂³×C₃	C₃×#41	1	4	yes	—
192	C₂³×C₃	C₂⁴×C₃	1	6	yes	—
193	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
194	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
195	C₃×Q₈	—	2	24	no	—
196	C₃×Q₈	C₂×C₃×D₄	1	16	yes	—
197	C₃×D₄	—	2	24	no	—
198	C₃×D₄	—	2	24	no	—
199	C₂×C₃×C₄	—	2	2	no	—
200	C₂×C₃×C₄	—	2	6	no	—
201	C₂×C₃×C₄	—	2	6	no	—
202	C₂×C₃×C₄	—	2	2	no	—
203	C₂×C₃×C₄	—	2	24	no	—
204	C₂×C₃×C₄	—	2	24	no	—
205	C₂×C₃×C₄	C₂×C₃×D₄	1	12	yes	—
206	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
207	C₂×C₃×C₄	C₂⁴×C₃	1	6	yes	—
208	C₂×C₃×C₄	C₂⁴×C₃	1	6	yes	—
209	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
210	C₂×C₃×C₄	C₂⁴×C₃	1	6	yes	—
211	C₂×C₉	—	2	4	no	—
212	C₂×C₉	—	4	6	no	—
213	C₂×C₉	#548	1	4	yes	direct product factor
214	C₂×C₉	C₂³×D₄	1	1	yes	characteristic
215	C₂×C₉	C₂²×#41	1	1	yes	characteristic
216	C₂×C₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
217	C₂⁴	C₂³×C₉	1	3	yes	—
218	C₂⁴	C₂³×C₉	1	1	yes	characteristic
219	#41	—	2	32	no	—
220	C₂×Q₈	—	2	32	no	—
221	C₂×Q₈	—	2	12	no	—
222	C₂×Q₈	D₄×C₉	1	8	yes	complemented
223	C₂×Q₈	C₂³×C₉	1	12	yes	—
224	C₂×Q₈	C₂³×C₉	1	4	yes	—
225	C₂×D₄	—	2	12	no	—
226	C₂×D₄	—	2	12	no	—
227	C₂×D₄	C₂³×C₉	1	12	yes	—
228	C₂×D₄	C₂³×C₉	1	12	yes	—
229	C₂²×C₄	—	2	12	no	—
230	C₂²×C₄	—	2	12	no	—
231	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
232	C₂²×C₄	C₂³×C₉	1	3	yes	—
233	C₂²×C₄	C₂³×C₉	1	3	yes	—
234	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
235	C₂²×C₄	C₂³×C₉	1	12	yes	—
236	C₂²×C₄	C₂³×C₉	1	12	yes	—
237	C₂²×C₄	C₂³×C₉	1	3	yes	—
238	C₄⋊C₄	C₂³×C₉	1	12	yes	—
239	C₄⋊C₄	C₂³×C₉	1	12	yes	—
240	C₂²⋊C₄	C₂³×C₉	1	4	yes	—
241	C₂²⋊C₄	C₂³×C₉	1	12	yes	—
242	C₂²⋊C₄	C₂³×C₉	1	24	yes	—
243	C₄²	C₂³×C₉	1	12	yes	—
244	C₂²×C₃	—	2	2	no	—
245	C₂²×C₃	—	2	2	no	—
246	C₂²×C₃	—	2	8	no	—
247	C₂²×C₃	—	2	6	no	—
248	C₂²×C₃	—	2	6	no	—
249	C₂²×C₃	—	2	6	no	—
250	C₂²×C₃	—	4	12	no	—
251	C₂²×C₃	C₂²×C₃×D₄	1	2	yes	—
252	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
253	C₂²×C₃	C₂×C₃×#41	1	4	yes	—
254	C₂²×C₃	C₃×2₋¹⁺⁴	1	2	yes	—
255	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
256	C₃×C₄	—	2	2	no	—
257	C₃×C₄	—	2	6	no	—
258	C₃×C₄	—	2	6	no	—
259	C₃×C₄	—	2	2	no	—
260	C₃×C₄	C₂²×C₃×D₄	1	12	yes	—
261	C₉	C₂×#548	1	1	yes	characteristic, direct product factor, Sylow
262	C₂³	—	2	2	no	—
263	C₂³	—	2	2	no	—
264	C₂³	—	2	6	no	—
265	C₂³	—	2	6	no	—
266	C₂³	—	2	6	no	—
267	C₂³	C₉×#41	1	4	yes	complemented
268	C₂³	C₂⁴×C₉	1	6	yes	—
269	C₂³	C₂⁴×C₉	1	2	yes	—
270	C₂³	C₂⁴×C₉	1	1	yes	characteristic
271	Q₈	—	2	24	no	—
272	Q₈	C₂×D₄×C₉	1	16	yes	complemented
273	D₄	—	2	24	no	—
274	D₄	—	2	24	no	—
275	C₂×C₄	—	2	2	no	—
276	C₂×C₄	—	2	6	no	—
277	C₂×C₄	—	2	6	no	—
278	C₂×C₄	—	2	2	no	—
279	C₂×C₄	—	2	24	no	—
280	C₂×C₄	—	2	24	no	—
281	C₂×C₄	C₂×D₄×C₉	1	12	yes	—
282	C₂×C₄	C₂⁴×C₉	1	2	yes	—
283	C₂×C₄	C₂⁴×C₉	1	6	yes	—
284	C₂×C₄	C₂⁴×C₉	1	6	yes	—
285	C₂×C₄	C₂⁴×C₉	1	2	yes	—
286	C₂×C₄	C₂⁴×C₉	1	6	yes	—
287	C₂×C₃	—	2	4	no	—
288	C₂×C₃	—	4	6	no	—
289	C₂×C₃	C₃×#548	1	4	yes	—
290	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
291	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
292	C₂×C₃	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
293	C₂²	—	2	8	no	—
294	C₂²	—	2	2	no	—
295	C₂²	—	2	2	no	—
296	C₂²	—	2	6	no	—
297	C₂²	—	2	6	no	—
298	C₂²	—	2	6	no	—
299	C₂²	—	4	12	no	—
300	C₂²	C₂²×D₄×C₉	1	2	yes	—
301	C₂²	C₂×C₉×#41	1	2	yes	—
302	C₂²	C₂×C₉×#41	1	4	yes	complemented
303	C₂²	C₉×2₋¹⁺⁴	1	2	yes	—
304	C₂²	C₂⁵×C₉	1	1	yes	characteristic
305	C₄	—	2	2	no	—
306	C₄	—	2	6	no	—
307	C₄	—	2	6	no	—
308	C₄	—	2	2	no	—
309	C₄	C₂²×D₄×C₉	1	12	yes	—
310	C₃	C₂×C₃×#548	1	1	yes	characteristic
311	C₂	—	2	4	no	—
312	C₂	—	4	6	no	—
313	C₂	C₉×#548	1	4	yes	direct product factor
314	C₂	C₂³×D₄×C₉	1	1	yes	characteristic
315	C₂	C₂²×C₉×#41	1	1	yes	characteristic
316	C₂	C₂×C₉×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₉	C₂⁴
commutator	C₂²	C₂⁵×C₉
Frattini, cosocle	C₂²×C₃	C₂⁵×C₃
socle	C₂³×C₃	C₂⁴×C₃
prime radical	C₂×C₃×#548	C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₉×#41	C₂	semidirect
2. C₂³×Q₈×C₉	C₂	semidirect
3. C₉×#548	C₂	direct (N × H)
4. C₂×C₉×#124	C₂	semidirect
5. C₂×C₉×C₂²⋊Q₈	C₂	semidirect
6. C₂×C₉×#121	C₂	semidirect
7. C₂×C₄×Q₈×C₉	C₂	semidirect
8. C₂×C₄×D₄×C₉	C₂	semidirect
11. C₂×C₉×#41	C₂²	semidirect
15. C₂²×Q₈×C₉	C₂²	semidirect
20. C₉×#124	C₂²	semidirect
21. C₉×C₂²⋊Q₈	C₂²	semidirect
22. C₉×#121	C₂²	semidirect
23. C₄×Q₈×C₉	C₂²	semidirect
24. C₄×D₄×C₉	C₂²	semidirect
44. C₂×Q₈×C₉	D₄	semidirect
66. C₂×#548	C₉	direct (N × H)
93. C₂³×C₉	#41	semidirect
98. Q₈×C₉	C₂×D₄	semidirect
113. C₂²×#41	C₂×C₉	semidirect
114. C₂³×Q₈	C₂×C₉	semidirect
115. #548	C₂×C₉	direct (N × H)
116. C₂×#124	C₂×C₉	semidirect
117. C₂×C₂²⋊Q₈	C₂×C₉	semidirect
118. C₂×#121	C₂×C₉	semidirect
119. C₂×C₄×Q₈	C₂×C₉	semidirect
120. C₂×C₄×D₄	C₂×C₉	semidirect
157. C₂²×C₉	C₂×#41	semidirect
166. C₂×#41	C₂²×C₉	semidirect
170. C₂²×Q₈	C₂²×C₉	semidirect
175. #124	C₂²×C₉	semidirect
176. C₂²⋊Q₈	C₂²×C₉	semidirect
177. #121	C₂²×C₉	semidirect
178. C₄×Q₈	C₂²×C₉	semidirect
179. C₄×D₄	C₂²×C₉	semidirect
213. C₂×C₉	#548	direct (N × H)
222. C₂×Q₈	D₄×C₉	semidirect
261. C₉	C₂×#548	direct (N × H)
267. C₂³	C₉×#41	semidirect
272. Q₈	C₂×D₄×C₉	semidirect
302. C₂²	C₂×C₉×#41	semidirect
313. C₂	C₉×#548	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₉×#41	2
C₂³×Q₈×C₉	2
C₉×#548	2
C₂×C₉×#124	2
C₂×C₉×C₂²⋊Q₈	2
C₂×C₉×#121	2
C₂×C₄×Q₈×C₉	2
C₂×C₄×D₄×C₉	2
C₂×C₃×#548	3

Subgroups — C2×C9×#548 #11768186

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₉×#548 #11768186