Subgroups — #26201546

Order 12032.

628 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254543	C₂	1	1	yes	maximal, characteristic, complemented
2	#20253396	C₂	1	1	yes	maximal, characteristic
3	#20252412	C₂	1	1	yes	maximal, characteristic
4	#20242837	C₂	1	2	yes	maximal, complemented
5	#20242809	C₂	1	2	yes	maximal, complemented
6	#20242775	C₂	1	2	yes	maximal, complemented
7	#20242761	C₂	1	2	yes	maximal, complemented
8	#20242169	C₂	1	1	yes	maximal, characteristic, complemented
9	#20242099	C₂	1	1	yes	maximal, characteristic, complemented
10	#20242053	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3110	C₂	1	1	yes	maximal, characteristic
12	#15689680	C₂²	1	1	yes	characteristic
13	#15689526	C₂²	1	1	yes	characteristic, complemented
14	#15689519	C₂²	1	1	yes	characteristic, complemented
15	#15689473	C₂²	1	1	yes	characteristic, complemented
16	#15689473	C₂²	1	1	yes	characteristic, complemented
17	#15689461	—	2	2	no	—
18	#15689453	—	2	1	no	—
19	#15689430	—	2	2	no	—
20	#15689413	C₂²	1	2	yes	—
21	#15689328	C₂²	1	2	yes	—
22	#15689274	—	2	1	no	—
23	C₄×#10625335	—	2	2	no	—
24	D₄×C₄₇⋊C₈	—	2	2	no	—
25	D₄×C₄₇⋊C₈	C₂²	1	2	yes	—
26	D₄×C₄₇⋊C₈	C₂²	1	2	yes	—
27	#15689176	C₂²	1	1	yes	characteristic
28	#15689176	C₂²	1	1	yes	characteristic
29	#15689176	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
31	#15688875	C₂²	1	2	yes	complemented
32	#15688873	C₂²	1	2	yes	complemented
33	#15688871	C₂²	1	2	yes	complemented
34	#15688870	C₂²	1	2	yes	complemented
35	#15688869	C₂²	1	2	yes	complemented
36	#15688869	C₂²	1	2	yes	complemented
37	C₄₇×#533	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
39	C₄₇×#484	—	2	1	no	—
40	C₄₇×#474	C₂²	1	2	yes	—
41	C₄₇×#461	C₂²	1	2	yes	—
42	C₄₇×#450	—	2	1	no	—
43	C₄₇×#440	—	2	2	no	—
44	C₄₇×#432	C₂²	1	1	yes	characteristic
45	C₂×#10625335	—	2	2	no	—
46	C₂²×C₄₇⋊C₈	—	2	2	no	—
47	C₂²×C₄₇⋊C₈	—	2	2	no	—
48	#13094024	C₂³	1	1	yes	characteristic
49	#13094024	C₂³	1	1	yes	characteristic
50	#13094016	—	2	1	no	—
51	#13094003	—	2	1	no	—
52	#13094003	—	2	1	no	—
53	C₄×Dic₉₄	—	2	1	no	—
54	C₄×Dic₉₄	—	2	1	no	—
55	#13093983	—	2	1	no	—
56	#13093957	—	2	2	no	—
57	#13093955	—	2	2	no	—
58	#13093955	—	2	2	no	—
59	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
60	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
61	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
62	#13093948	—	2	2	no	—
63	#13093948	—	2	2	no	—
64	#13093947	—	2	2	no	—
65	#13093945	—	2	2	no	—
66	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
68	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
69	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
70	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
71	C₄×C₄₇⋊C₈	—	2	1	no	—
72	C₄×C₄₇⋊C₈	—	2	1	no	—
73	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
74	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
75	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
76	C₂³×C₄×C₄₇	—	2	1	no	—
77	C₂×SD₁₆×C₄₇	—	2	2	no	—
78	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
79	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
80	#125×C₄₇	—	2	1	no	—
81	C₂²⋊Q₈×C₄₇	—	2	1	no	—
82	C₂²⋊Q₈×C₄₇	—	2	1	no	—
83	C₄×Q₈×C₄₇	—	2	1	no	—
84	C₄×Q₈×C₄₇	—	2	1	no	—
85	C₄×D₄×C₄₇	—	2	1	no	—
86	C₄×D₄×C₄₇	—	2	1	no	—
87	C₄×D₄×C₄₇	D₄	1	2	yes	—
88	C₄×D₄×C₄₇	C₂³	1	2	yes	—
89	#117×C₄₇	—	2	1	no	—
90	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
91	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
92	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
93	#107×C₄₇	—	2	2	no	—
94	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
95	#103×C₄₇	—	2	2	no	—
96	#102×C₄₇	—	2	2	no	—
97	C₂²⋊C₈×C₄₇	—	2	1	no	—
98	#97×C₄₇	—	2	1	no	—
99	C₂⁴×C₄₇	—	2	1	no	—
100	C₂×Q₈×C₄₇	—	2	1	no	—
101	C₂×Q₈×C₄₇	—	2	1	no	—
102	C₂×D₄×C₄₇	—	2	4	no	—
103	C₂×D₄×C₄₇	—	2	1	no	—
104	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
105	C₂²×C₄×C₄₇	—	2	1	no	—
106	C₂²×C₄×C₄₇	—	2	2	no	—
107	C₂²×C₄×C₄₇	—	2	2	no	—
108	C₂²×C₄×C₄₇	—	8	2	no	—
109	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
111	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
112	C₂×Dic₉₄	—	2	1	no	—
113	C₂×Dic₉₄	—	2	1	no	—
114	SD₁₆×C₄₇	—	4	4	no	—
115	C₂×C₈×C₄₇	—	2	2	no	—
116	C₄⋊C₄×C₄₇	—	2	1	no	—
117	C₄⋊C₄×C₄₇	—	2	1	no	—
118	C₄⋊C₄×C₄₇	—	2	1	no	—
119	C₄⋊C₄×C₄₇	—	2	1	no	—
120	C₄⋊C₄×C₄₇	—	2	1	no	—
121	C₄⋊C₄×C₄₇	—	4	1	no	—
122	C₄⋊C₄×C₄₇	—	4	1	no	—
123	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
124	C₂²⋊C₄×C₄₇	—	2	2	no	—
125	C₂²⋊C₄×C₄₇	—	2	2	no	—
126	C₂²⋊C₄×C₄₇	—	4	1	no	—
127	C₄²×C₄₇	—	4	1	no	—
128	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
129	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₄₇	#41	1	1	yes	characteristic
131	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
132	C₂²⋊Dic₄₇	—	4	1	no	—
133	#10625335	—	4	4	no	—
134	C₄⋊Dic₄₇	—	2	1	no	—
135	C₄⋊Dic₄₇	—	2	1	no	—
136	C₄⋊Dic₄₇	—	2	1	no	—
137	C₄⋊Dic₄₇	—	2	1	no	—
138	Dic₄₇⋊C₄	—	4	1	no	—
139	Dic₄₇⋊C₄	—	4	1	no	—
140	C₄×Dic₄₇	—	4	1	no	—
141	C₂×C₄₇⋊C₈	—	2	2	no	—
142	C₂×C₄₇⋊C₈	—	2	2	no	—
143	C₂×C₄₇⋊C₈	—	8	2	no	—
144	C₂×C₄₇⋊C₈	—	8	2	no	—
145	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
146	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
147	C₂³×C₄₇	—	2	4	no	—
148	C₂³×C₄₇	—	2	2	no	—
149	C₂³×C₄₇	—	8	1	no	—
150	C₂³×C₄₇	—	8	1	no	—
151	C₂³×C₄₇	#121	1	1	yes	characteristic
152	Q₈×C₄₇	—	4	2	no	—
153	Q₈×C₄₇	—	4	2	no	—
154	D₄×C₄₇	—	2	4	no	—
155	D₄×C₄₇	—	2	2	no	—
156	D₄×C₄₇	#135	1	4	yes	—
157	C₂×C₄×C₄₇	—	2	2	no	—
158	C₂×C₄×C₄₇	—	2	2	no	—
159	C₂×C₄×C₄₇	—	2	2	no	—
160	C₂×C₄×C₄₇	—	4	1	no	—
161	C₂×C₄×C₄₇	—	4	2	no	—
162	C₂×C₄×C₄₇	—	4	2	no	—
163	C₂×C₄×C₄₇	—	4	1	no	—
164	C₂×C₄×C₄₇	—	4	1	no	—
165	C₂×C₄×C₄₇	—	8	2	no	—
166	C₂×C₄×C₄₇	—	8	1	no	—
167	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
168	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
169	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
170	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
173	C₂×Dic₄₇	—	4	1	no	—
174	C₂×Dic₄₇	—	4	1	no	—
175	Dic₉₄	—	4	2	no	—
176	Dic₉₄	—	8	1	no	—
177	C₈×C₄₇	—	4	2	no	—
178	C₄₇⋊C₈	—	2	2	no	—
179	C₄₇⋊C₈	—	2	2	no	—
180	C₄₇⋊C₈	—	4	2	no	—
181	C₄₇⋊C₈	—	4	2	no	—
182	#19395	—	47	1	no	maximal, Sylow
183	C₂²×C₄₇	—	2	1	no	—
184	C₂²×C₄₇	—	2	1	no	—
185	C₂²×C₄₇	—	2	4	no	—
186	C₂²×C₄₇	—	2	1	no	—
187	C₂²×C₄₇	—	4	2	no	—
188	C₂²×C₄₇	—	4	2	no	—
189	C₂²×C₄₇	—	8	4	no	—
190	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
191	C₄×C₄₇	—	2	1	no	—
192	C₄×C₄₇	—	2	1	no	—
193	C₄×C₄₇	—	2	1	no	—
194	C₄×C₄₇	—	2	1	no	—
195	C₄×C₄₇	—	4	2	no	—
196	C₄×C₄₇	—	8	1	no	—
197	C₄×C₄₇	—	8	1	no	—
198	C₄×C₄₇	C₂×#135	1	2	yes	—
199	C₄×C₄₇	#577	1	2	yes	—
200	Dic₄₇	—	8	1	no	—
201	Dic₄₇	—	8	1	no	—
202	#3231	—	47	1	no	—
203	#3110	D₄₇	1	1	yes	characteristic
204	#3101	—	47	1	no	—
205	#2972	—	47	1	no	—
206	#1683	—	47	2	no	—
207	#1679	—	47	2	no	—
208	#1673	—	47	2	no	—
209	#1671	—	47	2	no	—
210	#1572	—	47	1	no	—
211	#1554	—	47	1	no	—
212	#1544	—	47	1	no	—
213	C₂×C₄₇	—	4	1	no	—
214	C₂×C₄₇	—	4	4	no	—
215	C₂×C₄₇	#3042	1	1	yes	characteristic
216	C₂×C₄₇	#3050	1	1	yes	characteristic
217	C₂×C₄₇	#3069	1	1	yes	characteristic
218	#533	—	47	1	no	—
219	#533	C₂×D₄₇	1	1	yes	characteristic
220	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
221	#500	—	47	1	no	—
222	#498	—	47	1	no	—
223	#487	—	47	1	no	—
224	#487	—	47	1	no	—
225	#485	—	94	2	no	—
226	#484	—	2	1	no	—
227	#483	—	94	1	no	—
228	#479	—	94	2	no	—
229	#476	—	47	2	no	—
230	#474	C₂×D₄₇	1	2	yes	—
231	#461	—	47	2	no	—
232	#461	C₂×D₄₇	1	2	yes	—
233	#450	—	2	1	no	—
234	#450	—	94	1	no	—
235	#440	—	2	2	no	—
236	C₄×SD₁₆	—	94	2	no	—
237	C₈×D₄	—	47	2	no	—
238	C₈×D₄	—	47	2	no	—
239	C₈×D₄	—	94	2	no	—
240	#432	C₂×D₄₇	1	1	yes	characteristic
241	#431	—	47	1	no	—
242	#431	—	47	1	no	—
243	#431	—	47	1	no	—
244	C₂×C₂²⋊C₈	—	94	2	no	—
245	#335	—	47	2	no	—
246	#334	—	47	2	no	—
247	#333	—	47	2	no	—
248	#332	—	47	2	no	—
249	#332	—	47	2	no	—
250	#332	—	47	2	no	—
251	C₄₇	#19395	1	1	yes	characteristic, complemented, Sylow
252	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
253	C₂³×C₄	—	2	1	no	—
254	C₂×SD₁₆	—	2	2	no	—
255	C₂×SD₁₆	—	94	2	no	—
256	C₂²×C₈	—	94	2	no	—
257	C₂²×C₈	—	94	2	no	—
258	C₄⋊Q₈	—	47	1	no	—
259	C₄⋊Q₈	—	47	1	no	—
260	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
261	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
262	#125	—	2	1	no	—
263	#125	—	94	1	no	—
264	C₂²⋊Q₈	—	2	1	no	—
265	C₂²⋊Q₈	—	2	1	no	—
266	C₂²⋊Q₈	—	94	1	no	—
267	C₂²⋊Q₈	—	94	1	no	—
268	C₄×Q₈	—	2	1	no	—
269	C₄×Q₈	—	2	1	no	—
270	C₄×Q₈	—	94	1	no	—
271	C₄×Q₈	—	94	1	no	—
272	C₄×D₄	—	2	1	no	—
273	C₄×D₄	—	2	1	no	—
274	C₄×D₄	C₂²⋊D₄₇	1	2	yes	—
275	C₄×D₄	C₂²×D₄₇	1	2	yes	—
276	#117	—	2	1	no	—
277	#117	—	94	1	no	—
278	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
279	C₂×C₂²⋊C₄	—	2	1	no	—
280	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
281	#107	—	2	2	no	—
282	#107	—	94	2	no	—
283	#106	—	94	2	no	—
284	#106	—	94	2	no	—
285	C₄⋊C₈	—	47	2	no	—
286	C₄⋊C₈	—	47	2	no	—
287	C₄⋊C₈	—	47	2	no	—
288	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
289	#103	—	2	2	no	—
290	#103	—	94	2	no	—
291	#103	—	94	2	no	—
292	#103	—	94	2	no	—
293	#102	—	2	2	no	—
294	#102	—	94	2	no	—
295	C₂²⋊C₈	—	2	1	no	—
296	C₂²⋊C₈	—	47	2	no	—
297	C₂²⋊C₈	—	94	2	no	—
298	C₂²⋊C₈	—	94	2	no	—
299	C₂²⋊C₈	—	94	1	no	—
300	C₂²⋊C₈	—	94	1	no	—
301	#97	—	2	1	no	—
302	C₄×C₈	—	47	1	no	—
303	C₄×C₈	—	47	1	no	—
304	C₄×C₈	—	94	1	no	—
305	C₄×C₈	—	94	1	no	—
306	C₂⁴	—	2	1	no	—
307	C₂×Q₈	—	2	1	no	—
308	C₂×Q₈	—	2	1	no	—
309	C₂×Q₈	—	94	1	no	—
310	C₂×Q₈	—	94	1	no	—
311	C₂×D₄	—	2	4	no	—
312	C₂×D₄	—	2	1	no	—
313	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
314	C₂²×C₄	—	2	1	no	—
315	C₂²×C₄	—	2	2	no	—
316	C₂²×C₄	—	2	2	no	—
317	C₂²×C₄	—	8	2	no	—
318	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
319	C₂²×C₄	#10625352	1	1	yes	characteristic
320	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
321	SD₁₆	—	4	4	no	—
322	SD₁₆	—	188	4	no	—
323	C₂×C₈	—	2	2	no	—
324	C₂×C₈	—	47	2	no	—
325	C₂×C₈	—	47	2	no	—
326	C₂×C₈	—	94	2	no	—
327	C₂×C₈	—	94	2	no	—
328	C₂×C₈	—	376	2	no	—
329	C₂×C₈	—	376	2	no	—
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	2	1	no	—
334	C₄⋊C₄	—	2	1	no	—
335	C₄⋊C₄	—	4	1	no	—
336	C₄⋊C₄	—	4	1	no	—
337	C₄⋊C₄	—	94	1	no	—
338	C₄⋊C₄	—	94	1	no	—
339	C₄⋊C₄	—	94	1	no	—
340	C₄⋊C₄	—	94	1	no	—
341	C₄⋊C₄	—	188	1	no	—
342	C₄⋊C₄	—	188	1	no	—
343	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
344	C₂²⋊C₄	—	2	2	no	—
345	C₂²⋊C₄	—	2	2	no	—
346	C₂²⋊C₄	—	4	1	no	—
347	C₂²⋊C₄	—	188	1	no	—
348	C₄²	—	4	1	no	—
349	C₄²	—	188	1	no	—
350	C₄²	D₄×D₄₇	1	1	yes	characteristic
351	C₄²	#10625352	1	1	yes	characteristic
352	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
353	C₄²	C₂³×D₄₇	1	1	yes	characteristic
354	C₂³	—	2	4	no	—
355	C₂³	—	2	2	no	—
356	C₂³	—	8	1	no	—
357	C₂³	—	8	1	no	—
358	C₂³	#13093996	1	1	yes	characteristic
359	Q₈	—	4	2	no	—
360	Q₈	—	4	2	no	—
361	Q₈	—	376	1	no	—
362	Q₈	—	188	2	no	—
363	D₄	—	2	4	no	—
364	D₄	—	2	2	no	—
365	D₄	#13094044	1	4	yes	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	4	2	no	—
372	C₂×C₄	—	4	1	no	—
373	C₂×C₄	—	4	1	no	—
374	C₂×C₄	—	8	2	no	—
375	C₂×C₄	—	8	1	no	—
376	C₂×C₄	—	188	1	no	—
377	C₂×C₄	—	188	1	no	—
378	C₂×C₄	#13093996	1	1	yes	characteristic
379	C₂×C₄	#13093996	1	1	yes	characteristic
380	C₂×C₄	#13093996	1	1	yes	characteristic
381	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
382	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
383	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
384	C₈	—	4	2	no	—
385	C₈	—	94	2	no	—
386	C₈	—	94	2	no	—
387	C₈	—	188	2	no	—
388	C₈	—	188	2	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	4	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	2	1	no	—
393	C₂²	—	4	2	no	—
394	C₂²	—	4	2	no	—
395	C₂²	—	8	4	no	—
396	C₂²	C₂×#13093996	1	1	yes	characteristic
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	4	2	no	—
402	C₄	—	8	1	no	—
403	C₄	—	8	1	no	—
404	C₄	—	376	1	no	—
405	C₄	—	376	1	no	—
406	C₄	C₂×#13094044	1	2	yes	—
407	C₄	#15689933	1	2	yes	—
408	C₂	—	4	1	no	—
409	C₂	—	4	4	no	—
410	C₂	#20252902	1	1	yes	characteristic
411	C₂	#20252966	1	1	yes	characteristic
412	C₂	#20253122	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093996
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#3110	C₂
socle	C₂²×C₄₇	C₂×#121
prime radical	C₂²×D₄×C₄₇	D₄
hypercenter	#3110	D₄₇
hypocenter	C₄₇	#19395
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3110

Complements

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

N	H ≅ G/N	type
1. #20254543	C₂	semidirect
4. #20242837	C₂	semidirect
5. #20242809	C₂	semidirect
6. #20242775	C₂	semidirect
7. #20242761	C₂	semidirect
8. #20242169	C₂	semidirect
9. #20242099	C₂	semidirect
10. #20242053	C₂	semidirect
13. #15689526	C₂²	semidirect
14. #15689519	C₂²	semidirect
15. #15689473	C₂²	semidirect
16. #15689473	C₂²	semidirect
31. #15688875	C₂²	semidirect
32. #15688873	C₂²	semidirect
33. #15688871	C₂²	semidirect
34. #15688870	C₂²	semidirect
35. #15688869	C₂²	semidirect
36. #15688869	C₂²	semidirect
251. C₄₇	#19395	semidirect

Maximal subgroups

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

subgroup	index
#20254543	2
#20253396	2
#20252412	2
#20242837	2
#20242809	2
#20242775	2
#20242761	2
#20242169	2
#20242099	2
#20242053	2
C₄₇×#3110	2
#19395	47