Subgroups — C₂²×C₃×(C₂×D₉)⋊C₄ #13153537

Order 1728.

2258 conjugacy classes of subgroups.

The subgroup lattice has 312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×C₃×D₉	C₂	1	1	yes	maximal, characteristic
2	C₂³×C₃×C₄×C₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂³×C₃×Dic₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×(C₂×D₉)⋊C₄	C₂	1	12	yes	maximal, direct product factor
5	C₂²×C₃×(C₂×D₃)⋊C₄	—	3	1	no	maximal
6	C₂²×(C₂×D₉)⋊C₄	C₃	1	1	yes	maximal, characteristic, direct product factor
7	C₂⁴×C₃×C₉	C₂²	1	1	yes	characteristic
8	C₂³×C₃×D₉	—	2	4	no	—
9	C₂³×C₃×D₉	—	2	4	no	—
10	C₂³×C₃×D₉	C₄	1	8	yes	complemented
11	C₂³×C₃×D₉	C₂²	1	6	yes	—
12	C₂²×C₃×C₄×C₉	—	2	4	no	—
13	C₂²×C₃×C₄×C₉	C₂²	1	6	yes	complemented
14	C₂²×C₃×Dic₉	—	2	4	no	—
15	C₂²×C₃×Dic₉	C₂²	1	6	yes	complemented
16	C₃×(C₂×D₉)⋊C₄	C₂²	1	16	yes	direct product factor
17	C₂⁴×C₃×D₃	—	3	1	no	—
18	C₂³×C₃²×C₄	D₃	1	1	yes	characteristic
19	C₂³×C₃×Dic₃	—	3	1	no	—
20	C₂⁴×D₉	C₂×C₃	1	1	yes	characteristic
21	C₂×C₃×(C₂×D₃)⋊C₄	—	3	12	no	—
22	C₂³×C₄×C₉	—	2	1	no	—
23	C₂³×C₄×C₉	C₂×C₃	1	1	yes	characteristic, complemented
24	C₂³×Dic₉	C₂×C₃	1	1	yes	characteristic, complemented
25	C₂×(C₂×D₉)⋊C₄	C₂×C₃	1	12	yes	direct product factor
26	C₂³×C₃×C₉	C₂×C₄	1	4	yes	—
27	C₂³×C₃×C₉	D₄	1	4	yes	—
28	C₂³×C₃×C₉	D₄	1	4	yes	—
29	C₂³×C₃×C₉	C₂³	1	3	yes	—
30	C₂²×C₃×D₉	—	2	32	no	—
31	C₂²×C₃×D₉	—	2	12	no	—
32	C₂²×C₃×D₉	—	2	12	no	—
33	C₂²×C₃×D₉	C₂×C₄	1	24	yes	complemented
34	C₂²×C₃×D₉	C₂³	1	4	yes	—
35	C₂×C₃×C₄×C₉	—	2	12	no	—
36	C₂×C₃×C₄×C₉	C₂³	1	4	yes	complemented
37	C₂×C₃×Dic₉	—	2	12	no	—
38	C₂×C₃×Dic₉	C₂³	1	4	yes	complemented
39	C₂²×C₃×C₂²⋊C₄	—	9	1	no	—
40	C₂²×(C₂×D₃)⋊C₄	—	3	1	no	—
41	C₂⁴×C₃²	C₂×D₃	1	1	yes	characteristic
42	C₂³×C₃×D₃	—	3	8	no	—
43	C₂³×C₃×D₃	—	3	6	no	—
44	C₂³×C₃×D₃	—	6	4	no	—
45	C₂³×C₃×D₃	—	6	4	no	—
46	C₂²×C₃²×C₄	—	2	4	no	—
47	C₂²×C₃²×C₄	C₂×D₃	1	6	yes	—
48	C₂²×C₃×Dic₃	—	3	6	no	—
49	C₂²×C₃×Dic₃	—	6	4	no	—
50	C₂⁴×C₉	—	2	1	no	—
51	C₂⁴×C₉	C₂²×C₃	1	1	yes	characteristic
52	C₂³×D₉	—	2	4	no	—
53	C₂³×D₉	—	2	4	no	—
54	C₂³×D₉	C₃×C₄	1	8	yes	complemented
55	C₂³×D₉	C₂²×C₃	1	6	yes	—
56	C₃×(C₂×D₃)⋊C₄	—	3	16	no	—
57	C₂²×C₄×C₉	—	2	8	no	—
58	C₂²×C₄×C₉	—	2	6	no	—
59	C₂²×C₄×C₉	—	2	4	no	—
60	C₂²×C₄×C₉	C₂²×C₃	1	6	yes	complemented
61	C₂²×Dic₉	—	2	4	no	—
62	C₂²×Dic₉	C₂²×C₃	1	6	yes	complemented
63	(C₂×D₉)⋊C₄	C₂²×C₃	1	16	yes	direct product factor
64	C₂²×C₃×C₉	C₂²⋊C₄	1	16	yes	complemented
65	C₂²×C₃×C₉	C₂²×C₄	1	6	yes	—
66	C₂²×C₃×C₉	C₂×D₄	1	6	yes	—
67	C₂²×C₃×C₉	C₂×D₄	1	6	yes	—
68	C₂²×C₃×C₉	C₂⁴	1	1	yes	characteristic
69	C₂×C₃×D₉	—	2	48	no	—
70	C₂×C₃×D₉	—	2	4	no	—
71	C₂×C₃×D₉	—	2	4	no	—
72	C₂×C₃×D₉	C₂²×C₄	1	8	yes	complemented
73	C₃×C₄×C₉	—	2	4	no	—
74	C₃×Dic₉	—	2	4	no	—
75	C₂⁵×C₃	—	9	1	no	—
76	C₂⁴×D₃	—	3	1	no	—
77	C₂³×C₃×C₄	—	2	1	no	—
78	C₂³×C₃×C₄	—	9	1	no	—
79	C₂³×C₃×C₄	D₉	1	1	yes	characteristic, complemented
80	C₂³×C₃×C₄	C₃×D₃	1	1	yes	characteristic
81	C₂³×Dic₃	—	3	1	no	—
82	C₂×C₃×C₂²⋊C₄	—	9	12	no	—
83	C₂×(C₂×D₃)⋊C₄	—	3	12	no	—
84	C₂³×C₃²	C₄×D₃	1	4	yes	—
85	C₂³×C₃²	D₁₂	1	4	yes	—
86	C₂³×C₃²	#67	1	4	yes	—
87	C₂³×C₃²	C₂²×D₃	1	3	yes	—
88	C₂²×C₃×D₃	—	3	24	no	—
89	C₂²×C₃×D₃	—	3	4	no	—
90	C₂²×C₃×D₃	—	6	32	no	—
91	C₂²×C₃×D₃	—	6	12	no	—
92	C₂²×C₃×D₃	—	6	12	no	—
93	C₂×C₃²×C₄	—	2	12	no	—
94	C₂×C₃²×C₄	C₂²×D₃	1	4	yes	—
95	C₂×C₃×Dic₃	—	3	4	no	—
96	C₂×C₃×Dic₃	—	6	12	no	—
97	C₂³×C₉	—	2	4	no	—
98	C₂³×C₉	—	2	4	no	—
99	C₂³×C₉	—	2	4	no	—
100	C₂³×C₉	—	2	3	no	—
101	C₂³×C₉	C₂×C₃×C₄	1	4	yes	—
102	C₂³×C₉	C₃×D₄	1	4	yes	—
103	C₂³×C₉	C₃×D₄	1	4	yes	—
104	C₂³×C₉	C₂³×C₃	1	3	yes	—
105	C₂²×D₉	—	2	32	no	—
106	C₂²×D₉	—	2	12	no	—
107	C₂²×D₉	—	2	12	no	—
108	C₂²×D₉	C₂×C₃×C₄	1	24	yes	complemented
109	C₂²×D₉	C₂³×C₃	1	4	yes	—
110	C₂×C₄×C₉	—	2	24	no	—
111	C₂×C₄×C₉	—	2	12	no	—
112	C₂×C₄×C₉	—	2	4	no	—
113	C₂×C₄×C₉	C₂³×C₃	1	4	yes	complemented
114	C₂×Dic₉	—	2	12	no	—
115	C₂×Dic₉	C₂³×C₃	1	4	yes	complemented
116	C₂²×C₂²⋊C₄	—	9	1	no	Sylow
117	C₂×C₃×C₉	C₂×C₂²⋊C₄	1	12	yes	complemented
118	C₂×C₃×C₉	C₂³×C₄	1	1	yes	characteristic
119	C₂×C₃×C₉	C₂²×D₄	1	1	yes	characteristic
120	C₂×C₃×C₉	C₂²×D₄	1	1	yes	characteristic
121	C₃×D₉	—	2	8	no	—
122	C₂⁴×C₃	—	2	1	no	—
123	C₂⁴×C₃	—	9	8	no	—
124	C₂⁴×C₃	—	9	6	no	—
125	C₂⁴×C₃	—	18	4	no	—
126	C₂⁴×C₃	—	18	4	no	—
127	C₂⁴×C₃	C₂×D₉	1	1	yes	characteristic
128	C₂⁴×C₃	C₂×C₃×D₃	1	1	yes	characteristic
129	C₂³×D₃	—	3	8	no	—
130	C₂³×D₃	—	3	6	no	—
131	C₂³×D₃	—	6	4	no	—
132	C₂³×D₃	—	6	4	no	—
133	C₂²×C₃×C₄	—	2	8	no	—
134	C₂²×C₃×C₄	—	2	4	no	—
135	C₂²×C₃×C₄	—	2	4	no	—
136	C₂²×C₃×C₄	—	2	6	no	—
137	C₂²×C₃×C₄	—	9	6	no	—
138	C₂²×C₃×C₄	—	18	4	no	—
139	C₂²×C₃×C₄	C₂×D₉	1	6	yes	complemented
140	C₂²×C₃×C₄	C₂×C₃×D₃	1	6	yes	—
141	C₂²×Dic₃	—	3	6	no	—
142	C₂²×Dic₃	—	6	4	no	—
143	C₃×C₂²⋊C₄	—	9	16	no	—
144	(C₂×D₃)⋊C₄	—	3	16	no	—
145	C₂²×C₃²	(C₂×D₃)⋊C₄	1	16	yes	—
146	C₂²×C₃²	C₂×C₄×D₃	1	6	yes	—
147	C₂²×C₃²	C₂×D₁₂	1	6	yes	—
148	C₂²×C₃²	C₂×#67	1	6	yes	—
149	C₂²×C₃²	C₂³×D₃	1	1	yes	characteristic
150	C₂×C₃×D₃	—	3	8	no	—
151	C₂×C₃×D₃	—	6	48	no	—
152	C₂×C₃×D₃	—	6	4	no	—
153	C₂×C₃×D₃	—	6	4	no	—
154	C₃²×C₄	—	2	4	no	—
155	C₃×Dic₃	—	6	4	no	—
156	C₂²×C₉	—	2	1	no	—
157	C₂²×C₉	—	2	16	no	—
158	C₂²×C₉	—	2	6	no	—
159	C₂²×C₉	—	2	6	no	—
160	C₂²×C₉	—	2	6	no	—
161	C₂²×C₉	C₃×C₂²⋊C₄	1	16	yes	complemented
162	C₂²×C₉	C₂²×C₃×C₄	1	6	yes	—
163	C₂²×C₉	C₂×C₃×D₄	1	6	yes	—
164	C₂²×C₉	C₂×C₃×D₄	1	6	yes	—
165	C₂²×C₉	C₂⁴×C₃	1	1	yes	characteristic
166	C₂×D₉	—	2	48	no	—
167	C₂×D₉	—	2	4	no	—
168	C₂×D₉	—	2	4	no	—
169	C₂×D₉	C₂²×C₃×C₄	1	8	yes	complemented
170	C₄×C₉	—	2	8	no	—
171	C₄×C₉	—	2	4	no	—
172	Dic₉	—	2	4	no	—
173	C₂⁵	—	9	1	no	—
174	C₂³×C₄	—	9	1	no	—
175	C₂³×C₄	C₃×D₉	1	1	yes	characteristic, complemented
176	C₂×C₂²⋊C₄	—	9	12	no	—
177	C₃×C₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
178	C₂³×C₃	—	2	4	no	—
179	C₂³×C₃	—	2	4	no	—
180	C₂³×C₃	—	2	4	no	—
181	C₂³×C₃	—	2	3	no	—
182	C₂³×C₃	—	9	24	no	—
183	C₂³×C₃	—	9	4	no	—
184	C₂³×C₃	—	18	32	no	—
185	C₂³×C₃	—	18	12	no	—
186	C₂³×C₃	—	18	12	no	—
187	C₂³×C₃	C₄×D₉	1	4	yes	—
188	C₂³×C₃	D₃₆	1	4	yes	—
189	C₂³×C₃	#611	1	4	yes	—
190	C₂³×C₃	C₂²×D₉	1	3	yes	—
191	C₂³×C₃	C₃×C₄×D₃	1	4	yes	—
192	C₂³×C₃	C₃×D₁₂	1	4	yes	—
193	C₂³×C₃	C₃×#67	1	4	yes	—
194	C₂³×C₃	C₂²×C₃×D₃	1	3	yes	—
195	C₂²×D₃	—	3	4	no	—
196	C₂²×D₃	—	3	24	no	—
197	C₂²×D₃	—	6	32	no	—
198	C₂²×D₃	—	6	12	no	—
199	C₂²×D₃	—	6	12	no	—
200	C₂×C₃×C₄	—	2	24	no	—
201	C₂×C₃×C₄	—	2	12	no	—
202	C₂×C₃×C₄	—	2	12	no	—
203	C₂×C₃×C₄	—	2	4	no	—
204	C₂×C₃×C₄	—	9	4	no	—
205	C₂×C₃×C₄	—	18	12	no	—
206	C₂×C₃×C₄	C₂²×D₉	1	4	yes	complemented
207	C₂×C₃×C₄	C₂²×C₃×D₃	1	4	yes	—
208	C₂×Dic₃	—	3	4	no	—
209	C₂×Dic₃	—	6	12	no	—
210	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	12	yes	—
211	C₂×C₃²	C₂²×C₄×D₃	1	1	yes	characteristic
212	C₂×C₃²	C₂²×D₁₂	1	1	yes	characteristic
213	C₂×C₃²	C₂²×#67	1	1	yes	characteristic
214	C₃×D₃	—	6	8	no	—
215	C₂×C₉	—	2	12	no	—
216	C₂×C₉	—	2	1	no	—
217	C₂×C₉	—	2	1	no	—
218	C₂×C₉	—	2	1	no	—
219	C₂×C₉	C₂×C₃×C₂²⋊C₄	1	12	yes	complemented
220	C₂×C₉	C₂³×C₃×C₄	1	1	yes	characteristic
221	C₂×C₉	C₂²×C₃×D₄	1	1	yes	characteristic
222	C₂×C₉	C₂²×C₃×D₄	1	1	yes	characteristic
223	D₉	—	2	8	no	—
224	C₂⁴	—	9	8	no	—
225	C₂⁴	—	9	6	no	—
226	C₂⁴	—	18	4	no	—
227	C₂⁴	—	18	4	no	—
228	C₂⁴	C₂×C₃×D₉	1	1	yes	characteristic
229	C₂²×C₄	—	2	4	no	—
230	C₂²×C₄	—	9	6	no	—
231	C₂²×C₄	—	18	4	no	—
232	C₂²×C₄	C₂×C₃×D₉	1	6	yes	complemented
233	C₂²⋊C₄	—	9	16	no	—
234	C₂²×C₃	—	2	1	no	—
235	C₂²×C₃	—	2	6	no	—
236	C₂²×C₃	—	2	6	no	—
237	C₂²×C₃	—	2	6	no	—
238	C₂²×C₃	—	2	16	no	—
239	C₂²×C₃	—	9	8	no	—
240	C₂²×C₃	—	18	48	no	—
241	C₂²×C₃	—	18	4	no	—
242	C₂²×C₃	—	18	4	no	—
243	C₂²×C₃	(C₂×D₉)⋊C₄	1	16	yes	direct product factor
244	C₂²×C₃	C₂×C₄×D₉	1	6	yes	—
245	C₂²×C₃	C₂×D₃₆	1	6	yes	—
246	C₂²×C₃	C₂×#611	1	6	yes	—
247	C₂²×C₃	C₃×(C₂×D₃)⋊C₄	1	16	yes	—
248	C₂²×C₃	C₂³×D₉	1	1	yes	characteristic
249	C₂²×C₃	C₂×C₃×C₄×D₃	1	6	yes	—
250	C₂²×C₃	C₂×C₃×D₁₂	1	6	yes	—
251	C₂²×C₃	C₂×C₃×#67	1	6	yes	—
252	C₂²×C₃	C₂³×C₃×D₃	1	1	yes	characteristic
253	C₂×D₃	—	3	8	no	—
254	C₂×D₃	—	6	48	no	—
255	C₂×D₃	—	6	4	no	—
256	C₂×D₃	—	6	4	no	—
257	C₃×C₄	—	2	8	no	—
258	C₃×C₄	—	2	4	no	—
259	C₃×C₄	—	2	4	no	—
260	C₃×C₄	—	18	4	no	—
261	Dic₃	—	6	4	no	—
262	C₃²	C₂²×(C₂×D₃)⋊C₄	1	1	yes	characteristic
263	C₉	—	2	1	no	—
264	C₉	C₂²×C₃×C₂²⋊C₄	1	1	yes	characteristic, complemented
265	C₂³	—	9	4	no	—
266	C₂³	—	9	24	no	—
267	C₂³	—	18	12	no	—
268	C₂³	—	18	12	no	—
269	C₂³	—	18	32	no	—
270	C₂³	C₃×C₄×D₉	1	4	yes	—
271	C₂³	C₃×D₃₆	1	4	yes	—
272	C₂³	C₃×#611	1	4	yes	—
273	C₂³	C₂²×C₃×D₉	1	3	yes	—
274	C₂×C₄	—	2	12	no	—
275	C₂×C₄	—	9	4	no	—
276	C₂×C₄	—	18	12	no	—
277	C₂×C₄	C₂²×C₃×D₉	1	4	yes	complemented
278	C₂×C₃	—	2	1	no	—
279	C₂×C₃	—	2	1	no	—
280	C₂×C₃	—	2	12	no	—
281	C₂×C₃	—	2	1	no	—
282	C₂×C₃	—	18	8	no	—
283	C₂×C₃	C₂×(C₂×D₉)⋊C₄	1	12	yes	direct product factor
284	C₂×C₃	C₂²×C₄×D₉	1	1	yes	characteristic
285	C₂×C₃	C₂²×D₃₆	1	1	yes	characteristic
286	C₂×C₃	C₂²×#611	1	1	yes	characteristic
287	C₂×C₃	C₂×C₃×(C₂×D₃)⋊C₄	1	12	yes	—
288	C₂×C₃	C₂²×C₃×C₄×D₃	1	1	yes	characteristic
289	C₂×C₃	C₂²×C₃×D₁₂	1	1	yes	characteristic
290	C₂×C₃	C₂²×C₃×#67	1	1	yes	characteristic
291	D₃	—	6	8	no	—
292	C₂²	—	9	8	no	—
293	C₂²	—	18	4	no	—
294	C₂²	—	18	48	no	—
295	C₂²	—	18	4	no	—
296	C₂²	C₃×(C₂×D₉)⋊C₄	1	16	yes	direct product factor
297	C₂²	C₂×C₃×C₄×D₉	1	6	yes	—
298	C₂²	C₂×C₃×D₃₆	1	6	yes	—
299	C₂²	C₂×C₃×#611	1	6	yes	—
300	C₂²	C₂³×C₃×D₉	1	1	yes	characteristic
301	C₄	—	2	4	no	—
302	C₄	—	18	4	no	—
303	C₃	—	2	1	no	—
304	C₃	C₂²×(C₂×D₉)⋊C₄	1	1	yes	characteristic, direct product factor
305	C₃	C₂²×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
306	C₂	—	18	8	no	—
307	C₂	C₂×C₃×(C₂×D₉)⋊C₄	1	12	yes	direct product factor
308	C₂	C₂²×C₃×C₄×D₉	1	1	yes	characteristic
309	C₂	C₂²×C₃×D₃₆	1	1	yes	characteristic
310	C₂	C₂²×C₃×#611	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴×C₃	C₂×D₉
commutator	C₂×C₉	C₂³×C₃×C₄
Frattini	C₂²×C₃	C₂³×C₃×D₃
Fitting	C₂³×C₃×C₄×C₉	C₂
socle	C₂⁴×C₃²	C₂×D₃
prime radical	C₂⁴×C₃×D₉	C₂
cosocle	C₂²×C₉	C₂⁴×C₃
hypercenter	C₂³×C₃×C₄	D₉
hypocenter	C₉	C₂²×C₃×C₂²⋊C₄
LCS	G ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂⁴×C₃ ◁ C₂³×C₃×C₄

Complements

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

N	H ≅ G/N	type
2. C₂³×C₃×C₄×C₉	C₂	semidirect
3. C₂³×C₃×Dic₉	C₂	semidirect
4. C₂×C₃×(C₂×D₉)⋊C₄	C₂	direct (N × H)
6. C₂²×(C₂×D₉)⋊C₄	C₃	direct (N × H)
10. C₂³×C₃×D₉	C₄	semidirect
13. C₂²×C₃×C₄×C₉	C₂²	semidirect
15. C₂²×C₃×Dic₉	C₂²	semidirect
16. C₃×(C₂×D₉)⋊C₄	C₂²	direct (N × H)
23. C₂³×C₄×C₉	C₂×C₃	semidirect
24. C₂³×Dic₉	C₂×C₃	semidirect
25. C₂×(C₂×D₉)⋊C₄	C₂×C₃	direct (N × H)
33. C₂²×C₃×D₉	C₂×C₄	semidirect
36. C₂×C₃×C₄×C₉	C₂³	semidirect
38. C₂×C₃×Dic₉	C₂³	semidirect
54. C₂³×D₉	C₃×C₄	semidirect
60. C₂²×C₄×C₉	C₂²×C₃	semidirect
62. C₂²×Dic₉	C₂²×C₃	semidirect
63. (C₂×D₉)⋊C₄	C₂²×C₃	direct (N × H)
64. C₂²×C₃×C₉	C₂²⋊C₄	semidirect
72. C₂×C₃×D₉	C₂²×C₄	semidirect
79. C₂³×C₃×C₄	D₉	semidirect
108. C₂²×D₉	C₂×C₃×C₄	semidirect
113. C₂×C₄×C₉	C₂³×C₃	semidirect
115. C₂×Dic₉	C₂³×C₃	semidirect
117. C₂×C₃×C₉	C₂×C₂²⋊C₄	semidirect
139. C₂²×C₃×C₄	C₂×D₉	semidirect
161. C₂²×C₉	C₃×C₂²⋊C₄	semidirect
169. C₂×D₉	C₂²×C₃×C₄	semidirect
175. C₂³×C₄	C₃×D₉	semidirect
177. C₃×C₉	C₂²×C₂²⋊C₄	semidirect
206. C₂×C₃×C₄	C₂²×D₉	semidirect
219. C₂×C₉	C₂×C₃×C₂²⋊C₄	semidirect
232. C₂²×C₄	C₂×C₃×D₉	semidirect
243. C₂²×C₃	(C₂×D₉)⋊C₄	direct (N × H)
264. C₉	C₂²×C₃×C₂²⋊C₄	semidirect
277. C₂×C₄	C₂²×C₃×D₉	semidirect
283. C₂×C₃	C₂×(C₂×D₉)⋊C₄	direct (N × H)
296. C₂²	C₃×(C₂×D₉)⋊C₄	direct (N × H)
304. C₃	C₂²×(C₂×D₉)⋊C₄	direct (N × H)
307. C₂	C₂×C₃×(C₂×D₉)⋊C₄	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁴×C₃×D₉	2
C₂³×C₃×C₄×C₉	2
C₂³×C₃×Dic₉	2
C₂×C₃×(C₂×D₉)⋊C₄	2
C₂²×C₃×(C₂×D₃)⋊C₄	3
C₂²×(C₂×D₉)⋊C₄	3

Subgroups — C22×C3×(C2×D9)⋊C4 #13153537

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₃×(C₂×D₉)⋊C₄ #13153537