Subgroups — C₂²×#88804 #13178032

Order 1728.

7036 conjugacy classes of subgroups.

The subgroup lattice has 330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×C₃⋊(C₃⋊D₃)	C₂	1	1	yes	maximal, characteristic
2	C₂³×C₃×C₃⋊Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂³×C₃²×Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#88804	C₂	1	12	yes	maximal, direct product factor
5	C₂²×#3752	—	3	1	no	maximal
6	C₂²×#3722	—	3	4	no	maximal
7	C₂⁴×C₃³	C₂²	1	1	yes	characteristic
8	C₂³×C₃⋊(C₃⋊D₃)	—	2	4	no	—
9	C₂³×C₃⋊(C₃⋊D₃)	—	2	4	no	—
10	C₂³×C₃⋊(C₃⋊D₃)	C₄	1	8	yes	complemented
11	C₂³×C₃⋊(C₃⋊D₃)	C₂²	1	6	yes	—
12	C₂²×C₃×C₃⋊Dic₃	—	2	4	no	—
13	C₂²×C₃×C₃⋊Dic₃	C₂²	1	6	yes	complemented
14	C₂²×C₃²×Dic₃	—	2	4	no	—
15	C₂²×C₃²×Dic₃	C₂²	1	6	yes	complemented
16	#88804	C₂²	1	16	yes	direct product factor
17	C₂⁴×C₃⋊D₃	—	3	1	no	—
18	C₂⁴×C₃⋊D₃	—	3	4	no	—
19	C₂⁴×C₃⋊D₃	—	6	4	no	—
20	C₂³×C₃²×C₄	—	3	1	no	—
21	C₂³×C₃⋊Dic₃	D₃	1	1	yes	characteristic, complemented
22	C₂³×C₃×Dic₃	—	3	4	no	—
23	C₂³×C₃×Dic₃	D₃	1	4	yes	complemented
24	C₂×#3752	—	3	12	no	—
25	C₂×#3722	—	3	48	no	—
26	C₂³×C₃³	C₂×C₄	1	4	yes	—
27	C₂³×C₃³	D₄	1	4	yes	—
28	C₂³×C₃³	D₄	1	4	yes	—
29	C₂³×C₃³	C₂³	1	3	yes	—
30	C₂²×C₃⋊(C₃⋊D₃)	—	2	32	no	—
31	C₂²×C₃⋊(C₃⋊D₃)	—	2	12	no	—
32	C₂²×C₃⋊(C₃⋊D₃)	—	2	12	no	—
33	C₂²×C₃⋊(C₃⋊D₃)	C₂×C₄	1	24	yes	complemented
34	C₂²×C₃⋊(C₃⋊D₃)	C₂³	1	4	yes	—
35	C₂×C₃×C₃⋊Dic₃	—	2	12	no	—
36	C₂×C₃×C₃⋊Dic₃	C₂³	1	4	yes	complemented
37	C₂×C₃²×Dic₃	—	2	12	no	—
38	C₂×C₃²×Dic₃	C₂³	1	4	yes	complemented
39	C₂²×(C₂×D₃)⋊C₄	—	9	4	no	—
40	C₂²×(C₂×D₃)⋊C₄	—	9	1	no	—
41	C₂⁴×C₃²	—	2	4	no	—
42	C₂⁴×C₃²	C₂×D₃	1	4	yes	—
43	C₂⁴×C₃²	C₂×D₃	1	1	yes	characteristic
44	C₂³×C₃⋊D₃	—	3	8	no	—
45	C₂³×C₃⋊D₃	—	3	32	no	—
46	C₂³×C₃⋊D₃	—	3	6	no	—
47	C₂³×C₃⋊D₃	—	3	24	no	—
48	C₂³×C₃⋊D₃	—	6	32	no	—
49	C₂³×C₃⋊D₃	—	6	24	no	—
50	C₂³×C₃⋊D₃	—	6	32	no	—
51	C₂³×C₃⋊D₃	—	6	32	no	—
52	C₂³×C₃⋊D₃	—	6	16	no	—
53	C₂³×C₃⋊D₃	—	6	4	no	—
54	C₂³×C₃⋊D₃	—	6	16	no	—
55	C₂³×C₃⋊D₃	—	6	4	no	—
56	C₂²×C₃²×C₄	—	3	6	no	—
57	C₂²×C₃²×C₄	—	6	4	no	—
58	C₂²×C₃⋊Dic₃	—	2	4	no	—
59	C₂²×C₃⋊Dic₃	C₂×D₃	1	6	yes	complemented
60	C₂²×C₃×Dic₃	—	2	16	no	—
61	C₂²×C₃×Dic₃	—	3	24	no	—
62	C₂²×C₃×Dic₃	—	6	16	no	—
63	C₂²×C₃×Dic₃	C₂×D₃	1	24	yes	complemented
64	#3752	—	3	16	no	—
65	#3722	—	3	64	no	—
66	C₂²×C₃³	C₂²⋊C₄	1	16	yes	complemented
67	C₂²×C₃³	C₂²×C₄	1	6	yes	—
68	C₂²×C₃³	C₂×D₄	1	6	yes	—
69	C₂²×C₃³	C₂×D₄	1	6	yes	—
70	C₂²×C₃³	C₂⁴	1	1	yes	characteristic
71	C₂×C₃⋊(C₃⋊D₃)	—	2	48	no	—
72	C₂×C₃⋊(C₃⋊D₃)	—	2	4	no	—
73	C₂×C₃⋊(C₃⋊D₃)	—	2	4	no	—
74	C₂×C₃⋊(C₃⋊D₃)	C₂²×C₄	1	8	yes	complemented
75	C₃×C₃⋊Dic₃	—	2	4	no	—
76	C₃²×Dic₃	—	2	4	no	—
77	C₂⁴×D₃	—	9	4	no	—
78	C₂⁴×D₃	—	9	1	no	—
79	C₂⁴×D₃	—	18	4	no	—
80	C₂³×C₃×C₄	—	3	4	no	—
81	C₂³×C₃×C₄	—	9	1	no	—
82	C₂³×Dic₃	—	3	4	no	—
83	C₂³×Dic₃	C₃⋊D₃	1	1	yes	characteristic, complemented
84	C₂×(C₂×D₃)⋊C₄	—	9	48	no	—
85	C₂×(C₂×D₃)⋊C₄	—	9	12	no	—
86	C₂³×C₃²	—	2	16	no	—
87	C₂³×C₃²	—	2	16	no	—
88	C₂³×C₃²	—	2	16	no	—
89	C₂³×C₃²	—	2	12	no	—
90	C₂³×C₃²	C₄×D₃	1	16	yes	—
91	C₂³×C₃²	C₄×D₃	1	4	yes	—
92	C₂³×C₃²	D₁₂	1	16	yes	—
93	C₂³×C₃²	D₁₂	1	4	yes	—
94	C₂³×C₃²	#67	1	16	yes	—
95	C₂³×C₃²	#67	1	4	yes	—
96	C₂³×C₃²	C₂²×D₃	1	12	yes	—
97	C₂³×C₃²	C₂²×D₃	1	3	yes	—
98	C₂²×C₃⋊D₃	—	3	24	no	—
99	C₂²×C₃⋊D₃	—	3	4	no	—
100	C₂²×C₃⋊D₃	—	3	96	no	—
101	C₂²×C₃⋊D₃	—	3	16	no	—
102	C₂²×C₃⋊D₃	—	6	96	no	—
103	C₂²×C₃⋊D₃	—	6	16	no	—
104	C₂²×C₃⋊D₃	—	6	256	no	—
105	C₂²×C₃⋊D₃	—	6	96	no	—
106	C₂²×C₃⋊D₃	—	6	96	no	—
107	C₂²×C₃⋊D₃	—	6	128	no	—
108	C₂²×C₃⋊D₃	—	6	32	no	—
109	C₂²×C₃⋊D₃	—	6	48	no	—
110	C₂²×C₃⋊D₃	—	6	12	no	—
111	C₂²×C₃⋊D₃	—	6	48	no	—
112	C₂²×C₃⋊D₃	—	6	12	no	—
113	C₂×C₃²×C₄	—	3	4	no	—
114	C₂×C₃²×C₄	—	6	12	no	—
115	C₂×C₃⋊Dic₃	—	2	12	no	—
116	C₂×C₃⋊Dic₃	C₂²×D₃	1	4	yes	complemented
117	C₂×C₃×Dic₃	—	2	48	no	—
118	C₂×C₃×Dic₃	—	3	16	no	—
119	C₂×C₃×Dic₃	—	6	48	no	—
120	C₂×C₃×Dic₃	C₂²×D₃	1	16	yes	complemented
121	C₂²×C₂²⋊C₄	—	27	1	no	Sylow
122	C₂×C₃³	C₂×C₂²⋊C₄	1	12	yes	complemented
123	C₂×C₃³	C₂³×C₄	1	1	yes	characteristic
124	C₂×C₃³	C₂²×D₄	1	1	yes	characteristic
125	C₂×C₃³	C₂²×D₄	1	1	yes	characteristic
126	C₃⋊(C₃⋊D₃)	—	2	8	no	—
127	C₂⁴×C₃	—	2	4	no	—
128	C₂⁴×C₃	D₃²	1	4	yes	—
129	C₂⁴×C₃	C₂×C₃⋊D₃	1	1	yes	characteristic
130	C₂³×D₃	—	9	32	no	—
131	C₂³×D₃	—	9	8	no	—
132	C₂³×D₃	—	9	24	no	—
133	C₂³×D₃	—	9	6	no	—
134	C₂³×D₃	—	18	32	no	—
135	C₂³×D₃	—	18	24	no	—
136	C₂³×D₃	—	18	32	no	—
137	C₂³×D₃	—	18	32	no	—
138	C₂³×D₃	—	18	16	no	—
139	C₂³×D₃	—	18	16	no	—
140	C₂³×D₃	—	18	4	no	—
141	C₂³×D₃	—	18	4	no	—
142	C₂²×C₃×C₄	—	3	24	no	—
143	C₂²×C₃×C₄	—	6	16	no	—
144	C₂²×C₃×C₄	—	9	6	no	—
145	C₂²×C₃×C₄	—	18	4	no	—
146	C₂²×Dic₃	—	2	4	no	—
147	C₂²×Dic₃	—	3	24	no	—
148	C₂²×Dic₃	—	6	16	no	—
149	C₂²×Dic₃	C₂×C₃⋊D₃	1	6	yes	complemented
150	(C₂×D₃)⋊C₄	—	9	64	no	—
151	(C₂×D₃)⋊C₄	—	9	16	no	—
152	C₂²×C₃²	—	2	4	no	—
153	C₂²×C₃²	—	2	64	no	—
154	C₂²×C₃²	—	2	24	no	—
155	C₂²×C₃²	—	2	24	no	—
156	C₂²×C₃²	—	2	24	no	—
157	C₂²×C₃²	(C₂×D₃)⋊C₄	1	64	yes	complemented
158	C₂²×C₃²	(C₂×D₃)⋊C₄	1	16	yes	complemented
159	C₂²×C₃²	C₂×C₄×D₃	1	24	yes	—
160	C₂²×C₃²	C₂×C₄×D₃	1	6	yes	—
161	C₂²×C₃²	C₂×D₁₂	1	24	yes	—
162	C₂²×C₃²	C₂×D₁₂	1	6	yes	—
163	C₂²×C₃²	C₂×#67	1	24	yes	—
164	C₂²×C₃²	C₂×#67	1	6	yes	—
165	C₂²×C₃²	C₂³×D₃	1	4	yes	—
166	C₂²×C₃²	C₂³×D₃	1	1	yes	characteristic
167	C₂×C₃⋊D₃	—	3	8	no	—
168	C₂×C₃⋊D₃	—	3	32	no	—
169	C₂×C₃⋊D₃	—	6	32	no	—
170	C₂×C₃⋊D₃	—	6	32	no	—
171	C₂×C₃⋊D₃	—	6	32	no	—
172	C₂×C₃⋊D₃	—	6	384	no	—
173	C₂×C₃⋊D₃	—	6	192	no	—
174	C₂×C₃⋊D₃	—	6	48	no	—
175	C₂×C₃⋊D₃	—	6	16	no	—
176	C₂×C₃⋊D₃	—	6	4	no	—
177	C₂×C₃⋊D₃	—	6	16	no	—
178	C₂×C₃⋊D₃	—	6	4	no	—
179	C₃²×C₄	—	6	4	no	—
180	C₃⋊Dic₃	—	2	4	no	—
181	C₃×Dic₃	—	2	16	no	—
182	C₃×Dic₃	—	6	16	no	—
183	C₂⁵	—	27	1	no	—
184	C₂³×C₄	—	3	1	no	—
185	C₂³×C₄	—	9	1	no	—
186	C₂×C₂²⋊C₄	—	27	12	no	—
187	C₃³	C₂²×C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
188	C₂³×C₃	—	2	16	no	—
189	C₂³×C₃	—	2	16	no	—
190	C₂³×C₃	—	2	16	no	—
191	C₂³×C₃	—	2	12	no	—
192	C₂³×C₃	#624	1	16	yes	—
193	C₂³×C₃	#626	1	16	yes	—
194	C₂³×C₃	#626	1	16	yes	—
195	C₂³×C₃	C₄×C₃⋊D₃	1	4	yes	—
196	C₂³×C₃	C₄⋊(C₃⋊D₃)	1	4	yes	—
197	C₂³×C₃	#638	1	4	yes	—
198	C₂³×C₃	C₂×D₃²	1	12	yes	—
199	C₂³×C₃	C₂²×C₃⋊D₃	1	3	yes	—
200	C₂²×D₃	—	9	16	no	—
201	C₂²×D₃	—	9	4	no	—
202	C₂²×D₃	—	9	96	no	—
203	C₂²×D₃	—	9	24	no	—
204	C₂²×D₃	—	18	16	no	—
205	C₂²×D₃	—	18	96	no	—
206	C₂²×D₃	—	18	96	no	—
207	C₂²×D₃	—	18	96	no	—
208	C₂²×D₃	—	18	256	no	—
209	C₂²×D₃	—	18	128	no	—
210	C₂²×D₃	—	18	32	no	—
211	C₂²×D₃	—	18	48	no	—
212	C₂²×D₃	—	18	48	no	—
213	C₂²×D₃	—	18	12	no	—
214	C₂²×D₃	—	18	12	no	—
215	C₂×C₃×C₄	—	3	16	no	—
216	C₂×C₃×C₄	—	6	48	no	—
217	C₂×C₃×C₄	—	9	4	no	—
218	C₂×C₃×C₄	—	18	12	no	—
219	C₂×Dic₃	—	2	12	no	—
220	C₂×Dic₃	—	3	16	no	—
221	C₂×Dic₃	—	6	48	no	—
222	C₂×Dic₃	C₂²×C₃⋊D₃	1	4	yes	complemented
223	C₂×C₃²	—	2	4	no	—
224	C₂×C₃²	—	2	4	no	—
225	C₂×C₃²	—	2	4	no	—
226	C₂×C₃²	—	2	48	no	—
227	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	48	yes	complemented
228	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	12	yes	complemented
229	C₂×C₃²	C₂²×C₄×D₃	1	4	yes	—
230	C₂×C₃²	C₂²×C₄×D₃	1	1	yes	characteristic
231	C₂×C₃²	C₂²×D₁₂	1	4	yes	—
232	C₂×C₃²	C₂²×D₁₂	1	1	yes	characteristic
233	C₂×C₃²	C₂²×#67	1	4	yes	—
234	C₂×C₃²	C₂²×#67	1	1	yes	characteristic
235	C₃⋊D₃	—	6	64	no	—
236	C₃⋊D₃	—	6	32	no	—
237	C₃⋊D₃	—	6	8	no	—
238	C₂⁴	—	27	8	no	—
239	C₂⁴	—	27	6	no	—
240	C₂⁴	—	54	4	no	—
241	C₂⁴	—	54	4	no	—
242	C₂⁴	D₃×C₃⋊D₃	1	1	yes	characteristic
243	C₂²×C₄	—	3	6	no	—
244	C₂²×C₄	—	6	4	no	—
245	C₂²×C₄	—	9	6	no	—
246	C₂²×C₄	—	18	4	no	—
247	C₂²⋊C₄	—	27	16	no	—
248	C₂²×C₃	—	2	4	no	—
249	C₂²×C₃	—	2	24	no	—
250	C₂²×C₃	—	2	24	no	—
251	C₂²×C₃	—	2	24	no	—
252	C₂²×C₃	—	2	64	no	—
253	C₂²×C₃	#3722	1	64	yes	complemented
254	C₂²×C₃	#3752	1	16	yes	complemented
255	C₂²×C₃	C₂×#624	1	24	yes	—
256	C₂²×C₃	C₂×#626	1	24	yes	—
257	C₂²×C₃	C₂×#626	1	24	yes	—
258	C₂²×C₃	C₂×C₄×C₃⋊D₃	1	6	yes	—
259	C₂²×C₃	C₂×C₄⋊(C₃⋊D₃)	1	6	yes	—
260	C₂²×C₃	C₂×#638	1	6	yes	—
261	C₂²×C₃	C₂²×D₃²	1	4	yes	—
262	C₂²×C₃	C₂³×C₃⋊D₃	1	1	yes	characteristic
263	C₂×D₃	—	9	32	no	—
264	C₂×D₃	—	9	8	no	—
265	C₂×D₃	—	18	32	no	—
266	C₂×D₃	—	18	32	no	—
267	C₂×D₃	—	18	32	no	—
268	C₂×D₃	—	18	384	no	—
269	C₂×D₃	—	18	16	no	—
270	C₂×D₃	—	18	16	no	—
271	C₂×D₃	—	18	4	no	—
272	C₂×D₃	—	18	4	no	—
273	C₂×D₃	—	18	48	no	—
274	C₂×D₃	—	18	192	no	—
275	C₃×C₄	—	6	16	no	—
276	C₃×C₄	—	18	4	no	—
277	Dic₃	—	2	4	no	—
278	Dic₃	—	6	16	no	—
279	C₃²	—	2	4	no	—
280	C₃²	C₂²×(C₂×D₃)⋊C₄	1	4	yes	complemented
281	C₃²	C₂²×(C₂×D₃)⋊C₄	1	1	yes	characteristic, complemented
282	C₂³	—	27	4	no	—
283	C₂³	—	27	24	no	—
284	C₂³	—	54	12	no	—
285	C₂³	—	54	12	no	—
286	C₂³	—	54	32	no	—
287	C₂³	#6289	1	4	yes	—
288	C₂³	#6291	1	4	yes	—
289	C₂³	#6292	1	4	yes	—
290	C₂³	C₂×D₃×C₃⋊D₃	1	3	yes	—
291	C₂×C₄	—	3	4	no	—
292	C₂×C₄	—	6	12	no	—
293	C₂×C₄	—	9	4	no	—
294	C₂×C₄	—	18	12	no	—
295	C₂×C₃	—	2	4	no	—
296	C₂×C₃	—	2	4	no	—
297	C₂×C₃	—	2	4	no	—
298	C₂×C₃	—	2	48	no	—
299	C₂×C₃	C₂×#3722	1	48	yes	complemented
300	C₂×C₃	C₂×#3752	1	12	yes	complemented
301	C₂×C₃	C₂²×#624	1	4	yes	—
302	C₂×C₃	C₂²×#626	1	4	yes	—
303	C₂×C₃	C₂²×#626	1	4	yes	—
304	C₂×C₃	C₂²×C₄×C₃⋊D₃	1	1	yes	characteristic
305	C₂×C₃	C₂²×C₄⋊(C₃⋊D₃)	1	1	yes	characteristic
306	C₂×C₃	C₂²×#638	1	1	yes	characteristic
307	D₃	—	18	64	no	—
308	D₃	—	18	32	no	—
309	D₃	—	18	8	no	—
310	C₂²	—	27	8	no	—
311	C₂²	—	54	4	no	—
312	C₂²	—	54	4	no	—
313	C₂²	—	54	48	no	—
314	C₂²	#88804	1	16	yes	direct product factor
315	C₂²	C₂×#6289	1	6	yes	—
316	C₂²	C₂×#6291	1	6	yes	—
317	C₂²	C₂×#6292	1	6	yes	—
318	C₂²	C₂²×D₃×C₃⋊D₃	1	1	yes	characteristic
319	C₄	—	6	4	no	—
320	C₄	—	18	4	no	—
321	C₃	—	2	4	no	—
322	C₃	C₂²×#3722	1	4	yes	complemented
323	C₃	C₂²×#3752	1	1	yes	characteristic, complemented
324	C₂	—	54	8	no	—
325	C₂	C₂×#88804	1	12	yes	direct product factor
326	C₂	C₂²×#6289	1	1	yes	characteristic
327	C₂	C₂²×#6291	1	1	yes	characteristic
328	C₂	C₂²×#6292	1	1	yes	characteristic

	subgroup	G/H
center, hypercenter	C₂⁴	D₃×C₃⋊D₃
commutator	C₂×C₃³	C₂³×C₄
Frattini	C₂²	C₂²×D₃×C₃⋊D₃
Fitting, socle	C₂⁴×C₃³	C₂²
prime radical	C₂⁴×C₃⋊(C₃⋊D₃)	C₂
cosocle	C₂²×C₃³	C₂⁴
hypocenter	C₃³	C₂²×C₂²⋊C₄
LCS	G ▷ C₂×C₃³ ▷ C₃³
UCS	C₁ ◁ C₂⁴

Complements

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

N	H ≅ G/N	type
2. C₂³×C₃×C₃⋊Dic₃	C₂	semidirect
3. C₂³×C₃²×Dic₃	C₂	semidirect
4. C₂×#88804	C₂	direct (N × H)
10. C₂³×C₃⋊(C₃⋊D₃)	C₄	semidirect
13. C₂²×C₃×C₃⋊Dic₃	C₂²	semidirect
15. C₂²×C₃²×Dic₃	C₂²	semidirect
16. #88804	C₂²	direct (N × H)
21. C₂³×C₃⋊Dic₃	D₃	semidirect
23. C₂³×C₃×Dic₃	D₃	semidirect
33. C₂²×C₃⋊(C₃⋊D₃)	C₂×C₄	semidirect
36. C₂×C₃×C₃⋊Dic₃	C₂³	semidirect
38. C₂×C₃²×Dic₃	C₂³	semidirect
59. C₂²×C₃⋊Dic₃	C₂×D₃	semidirect
63. C₂²×C₃×Dic₃	C₂×D₃	semidirect
66. C₂²×C₃³	C₂²⋊C₄	semidirect
74. C₂×C₃⋊(C₃⋊D₃)	C₂²×C₄	semidirect
83. C₂³×Dic₃	C₃⋊D₃	semidirect
116. C₂×C₃⋊Dic₃	C₂²×D₃	semidirect
120. C₂×C₃×Dic₃	C₂²×D₃	semidirect
122. C₂×C₃³	C₂×C₂²⋊C₄	semidirect
149. C₂²×Dic₃	C₂×C₃⋊D₃	semidirect
157. C₂²×C₃²	(C₂×D₃)⋊C₄	semidirect
158. C₂²×C₃²	(C₂×D₃)⋊C₄	semidirect
187. C₃³	C₂²×C₂²⋊C₄	semidirect
222. C₂×Dic₃	C₂²×C₃⋊D₃	semidirect
227. C₂×C₃²	C₂×(C₂×D₃)⋊C₄	semidirect
228. C₂×C₃²	C₂×(C₂×D₃)⋊C₄	semidirect
253. C₂²×C₃	#3722	semidirect
254. C₂²×C₃	#3752	semidirect
280. C₃²	C₂²×(C₂×D₃)⋊C₄	semidirect
281. C₃²	C₂²×(C₂×D₃)⋊C₄	semidirect
299. C₂×C₃	C₂×#3722	semidirect
300. C₂×C₃	C₂×#3752	semidirect
314. C₂²	#88804	direct (N × H)
322. C₃	C₂²×#3722	semidirect
323. C₃	C₂²×#3752	semidirect
325. C₂	C₂×#88804	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⋊(C₃⋊D₃)	2
C₂³×C₃×C₃⋊Dic₃	2
C₂³×C₃²×Dic₃	2
C₂×#88804	2
C₂²×#3752	3
C₂²×#3722	3

Subgroups — C22×#88804 #13178032

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#88804 #13178032