Subgroups — #26370718

Order 12032.

710 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689556	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₆×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252971	C₂	1	2	yes	maximal, complemented
4	#20245487	C₂	1	2	yes	maximal, complemented
5	#20245486	C₂	1	2	yes	maximal, complemented
6	#20245476	C₂	1	1	yes	maximal, characteristic, complemented
7	#20245475	C₂	1	1	yes	maximal, characteristic, complemented
8	#20245474	C₂	1	1	yes	maximal, characteristic, complemented
9	#20245169	C₂	1	1	yes	maximal, characteristic, complemented
10	#20245094	C₂	1	2	yes	maximal, complemented
11	C₄₇×#2216	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094047	C₂²	1	2	yes	—
13	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
14	#15689636	—	2	2	no	—
15	#15689556	—	2	4	no	—
16	C₂×#13093967	C₂²	1	2	yes	complemented
17	C₂×D₇₅₂	C₂²	1	1	yes	characteristic, complemented
18	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₁₆×D₄₇	—	2	4	no	—
20	C₂×C₁₆×D₄₇	C₂²	1	1	yes	characteristic
21	C₂×C₁₆×D₄₇	C₂²	1	1	yes	characteristic
22	C₂×C₁₆×D₄₇	C₂²	1	1	yes	characteristic
23	C₂×C₁₆×D₄₇	C₂²	1	1	yes	characteristic
24	#15689361	C₂²	1	2	yes	—
25	#15689360	C₂²	1	2	yes	—
26	#15689359	C₂²	1	2	yes	—
27	#15689355	—	2	2	no	—
28	#15689354	—	2	2	no	—
29	#15689160	C₂²	1	2	yes	—
30	#15689118	—	2	2	no	—
31	#15688950	C₂²	1	2	yes	complemented
32	#15688949	C₂²	1	1	yes	characteristic, complemented
33	#15688927	C₂²	1	2	yes	complemented
34	#15688925	C₂²	1	2	yes	complemented
35	#15688923	C₂²	1	2	yes	complemented
36	C₂×Q₃₂×C₄₇	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₁₆×C₄₇	C₂²	1	1	yes	characteristic
38	C₄₇×#467	C₂²	1	2	yes	—
39	C₄₇×#366	C₂²	1	1	yes	characteristic, complemented
40	C₄₇×#358	C₂²	1	2	yes	complemented
41	C₂×#10625354	—	2	2	no	—
42	C₂²×C₄×D₄₇	D₄	1	1	yes	characteristic
43	#13094047	—	2	4	no	—
44	#13094047	—	2	4	no	—
45	C₂×#10625336	—	2	2	no	—
46	C₂×D₃₇₆	C₂³	1	2	yes	—
47	C₂²×C₄₇⋊C₈	D₄	1	1	yes	characteristic
48	C₂×C₈×D₄₇	—	2	2	no	—
49	C₂×C₈×D₄₇	—	2	2	no	—
50	C₂×C₈×D₄₇	D₄	1	1	yes	characteristic
51	C₂×C₈×D₄₇	D₄	1	1	yes	characteristic
52	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
53	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
54	#13094009	—	4	2	no	—
55	#13094000	—	2	2	no	—
56	#13093999	—	2	2	no	—
57	#13093998	—	2	2	no	—
58	#13093994	—	4	2	no	—
59	#13093986	—	4	2	no	—
60	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
61	#13093982	—	2	2	no	—
62	#13093967	—	2	4	no	—
63	D₇₅₂	—	2	2	no	—
64	C₂×C₄₇⋊C₁₆	—	2	2	no	—
65	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
66	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
67	C₁₆×D₄₇	—	2	2	no	—
68	C₁₆×D₄₇	—	2	2	no	—
69	C₁₆×D₄₇	—	2	2	no	—
70	C₁₆×D₄₇	D₄	1	4	yes	complemented
71	#13093958	C₂³	1	2	yes	—
72	#13093955	—	2	2	no	—
73	#13093948	—	2	2	no	—
74	#13093946	—	2	2	no	—
75	#13093944	—	2	2	no	—
76	C₂×Q₁₆×C₄₇	C₂³	1	2	yes	—
77	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
78	C₂²⋊Q₈×C₄₇	—	2	2	no	—
79	Q₃₂×C₄₇	—	2	2	no	—
80	C₂×C₁₆×C₄₇	—	2	2	no	—
81	C₂×C₁₆×C₄₇	C₂³	1	1	yes	characteristic
82	C₂×C₁₆×C₄₇	C₂³	1	1	yes	characteristic
83	#107×C₄₇	C₂³	1	2	yes	—
84	#103×C₄₇	—	2	2	no	—
85	C₂³×D₄₇	D₈	1	1	yes	characteristic
86	C₂×Q₈×C₄₇	—	2	2	no	—
87	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
88	C₂×C₂²⋊D₄₇	—	4	2	no	—
89	C₂²×Dic₄₇	D₈	1	1	yes	characteristic
90	#10625354	—	4	4	no	—
91	#10625354	—	4	4	no	—
92	C₂×D₁₈₈	—	2	2	no	—
93	C₂×D₁₈₈	—	4	2	no	—
94	C₂×D₁₈₈	—	4	2	no	—
95	C₂×C₄×D₄₇	—	2	2	no	—
96	C₂×C₄×D₄₇	—	2	2	no	—
97	C₂×C₄×D₄₇	—	4	2	no	—
98	C₂×C₄×D₄₇	D₈	1	1	yes	characteristic
99	C₂×C₄×D₄₇	D₈	1	1	yes	characteristic
100	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
101	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
102	Q₁₆×C₄₇	—	2	2	no	—
103	Q₁₆×C₄₇	—	2	2	no	—
104	C₂×C₈×C₄₇	—	2	1	no	—
105	C₂×C₈×C₄₇	—	2	1	no	—
106	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
108	C₄⋊C₄×C₄₇	—	2	2	no	—
109	C₄⋊C₄×C₄₇	—	4	2	no	—
110	C₂²⋊C₄×C₄₇	—	4	2	no	—
111	#10625336	—	4	4	no	—
112	(C₂×D₄₇)⋊C₄	—	4	2	no	—
113	(C₂×D₄₇)⋊C₄	—	4	2	no	—
114	(C₂×D₄₇)⋊C₄	—	4	2	no	—
115	(C₂×D₄₇)⋊C₄	—	4	2	no	—
116	C₄⋊Dic₄₇	—	2	2	no	—
117	Dic₄₇⋊C₄	—	4	2	no	—
118	C₄×Dic₄₇	—	4	2	no	—
119	C₂×C₄₇⋊C₈	—	2	2	no	—
120	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
121	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
122	D₃₇₆	—	2	2	no	—
123	D₃₇₆	—	2	2	no	—
124	C₈×D₄₇	—	2	2	no	—
125	C₈×D₄₇	—	2	1	no	—
126	C₈×D₄₇	—	2	1	no	—
127	C₈×D₄₇	—	2	2	no	—
128	C₈×D₄₇	C₂×D₄	1	2	yes	—
129	C₈×D₄₇	#41	1	2	yes	—
130	C₁₆×C₄₇	—	2	1	no	—
131	C₁₆×C₄₇	C₂×D₄	1	2	yes	—
132	C₄₇⋊C₁₆	—	2	1	no	—
133	C₄₇⋊C₁₆	C₂×D₄	1	2	yes	—
134	C₂³×C₄₇	C₂×D₈	1	1	yes	characteristic
135	C₂²×D₄₇	—	2	2	no	—
136	C₂²×D₄₇	—	2	2	no	—
137	C₂²×D₄₇	—	2	2	no	—
138	C₂²×D₄₇	—	4	2	no	—
139	C₂²×D₄₇	C₂×D₈	1	1	yes	characteristic
140	C₂²×D₄₇	C₂×D₈	1	1	yes	characteristic
141	Q₈×C₄₇	—	4	2	no	—
142	Q₈×C₄₇	—	4	2	no	—
143	C₂×C₄×C₄₇	—	2	1	no	—
144	C₂×C₄×C₄₇	—	2	1	no	—
145	C₂×C₄×C₄₇	—	4	2	no	—
146	C₂×C₄×C₄₇	—	4	2	no	—
147	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
148	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
149	C₂²⋊D₄₇	—	8	4	no	—
150	C₂×Dic₄₇	—	2	2	no	—
151	C₂×Dic₄₇	—	4	2	no	—
152	C₂×Dic₄₇	C₂×D₈	1	1	yes	characteristic
153	C₂×Dic₄₇	C₂×D₈	1	1	yes	characteristic
154	D₁₈₈	—	4	2	no	—
155	D₁₈₈	—	4	2	no	—
156	D₁₈₈	—	8	4	no	—
157	D₁₈₈	—	8	4	no	—
158	C₄×D₄₇	—	2	2	no	—
159	C₄×D₄₇	—	2	1	no	—
160	C₄×D₄₇	—	2	1	no	—
161	C₄×D₄₇	—	2	2	no	—
162	C₄×D₄₇	—	8	4	no	—
163	C₄×D₄₇	#121	1	2	yes	—
164	C₄×D₄₇	#135	1	2	yes	—
165	C₈×C₄₇	—	2	1	no	—
166	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
167	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
168	C₄₇⋊C₈	—	2	1	no	—
169	C₄₇⋊C₈	#121	1	2	yes	—
170	#33600	—	47	1	no	maximal, Sylow
171	C₂²×C₄₇	—	2	1	no	—
172	C₂²×C₄₇	—	2	1	no	—
173	C₂²×C₄₇	#508	1	2	yes	complemented
174	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
175	C₂×D₄₇	—	2	8	no	—
176	C₂×D₄₇	—	2	1	no	—
177	C₂×D₄₇	—	2	1	no	—
178	C₂×D₄₇	—	2	1	no	—
179	C₂×D₄₇	—	2	1	no	—
180	C₂×D₄₇	—	8	2	no	—
181	C₂×D₄₇	—	8	2	no	—
182	C₂×D₄₇	—	8	2	no	—
183	C₂×D₄₇	#466	1	2	yes	—
184	C₂×D₄₇	#508	1	2	yes	complemented
185	C₄×C₄₇	—	2	1	no	—
186	C₄×C₄₇	—	8	2	no	—
187	C₄×C₄₇	—	8	2	no	—
188	C₄×C₄₇	C₂×#121	1	1	yes	characteristic
189	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
190	Dic₄₇	—	2	1	no	—
191	Dic₄₇	—	8	2	no	—
192	Dic₄₇	#466	1	2	yes	—
193	C₂×#508	—	47	1	no	—
194	C₂³×C₁₆	—	47	1	no	—
195	#3050	—	47	2	no	—
196	#2217	—	47	2	no	—
197	#2217	—	47	2	no	—
198	#2216	—	47	1	no	—
199	#2216	D₄₇	1	1	yes	characteristic, complemented
200	#2215	—	47	1	no	—
201	#2215	—	47	1	no	—
202	#2158	—	47	1	no	—
203	#2138	—	47	2	no	—
204	C₂×C₄₇	—	2	2	no	—
205	C₂×C₄₇	C₂×#466	1	1	yes	characteristic
206	C₂×C₄₇	C₂×#508	1	1	yes	characteristic
207	C₂×C₄₇	C₂×#508	1	1	yes	characteristic
208	D₄₇	—	2	2	no	—
209	D₄₇	—	2	2	no	—
210	D₄₇	—	16	2	no	—
211	C₂×#135	—	47	2	no	—
212	C₂³×C₈	—	47	1	no	—
213	#525	—	94	2	no	—
214	#508	—	94	4	no	—
215	C₂×Q₃₂	C₂×D₄₇	1	1	yes	characteristic, complemented
216	C₂×SD₃₂	—	47	2	no	—
217	C₂×D₁₆	—	47	1	no	—
218	C₂²×C₁₆	—	47	1	no	—
219	C₂²×C₁₆	—	47	1	no	—
220	C₂²×C₁₆	—	47	1	no	—
221	C₂²×C₁₆	—	47	1	no	—
222	C₂²×C₁₆	—	47	1	no	—
223	C₂²×C₁₆	—	94	4	no	—
224	C₂²×C₁₆	C₂×D₄₇	1	1	yes	characteristic
225	#467	—	47	2	no	—
226	#467	C₂×D₄₇	1	2	yes	—
227	#466	—	47	2	no	—
228	#466	—	47	2	no	—
229	#465	—	94	2	no	—
230	#465	—	94	2	no	—
231	#427	—	47	2	no	—
232	#416	—	94	2	no	—
233	#367	—	47	2	no	—
234	#366	—	47	1	no	—
235	#366	C₂×D₄₇	1	1	yes	characteristic, complemented
236	#358	—	47	2	no	—
237	#358	C₂×D₄₇	1	2	yes	complemented
238	#357	—	47	2	no	—
239	#357	—	47	2	no	—
240	C₄₇	#33600	1	1	yes	characteristic, complemented, Sylow
241	C₂×#41	—	94	2	no	—
242	C₂³×C₄	—	47	1	no	—
243	#135	—	94	4	no	—
244	#135	—	94	4	no	—
245	C₂×Q₁₆	C₂²×D₄₇	1	2	yes	—
246	C₂×SD₁₆	—	94	2	no	—
247	C₂×D₈	—	47	2	no	—
248	C₂²×C₈	—	47	1	no	—
249	C₂²×C₈	—	47	1	no	—
250	C₂²×C₈	—	47	1	no	—
251	C₂²×C₈	—	47	1	no	—
252	C₂²×C₈	—	47	1	no	—
253	C₂²×C₈	—	94	2	no	—
254	C₂²×C₈	—	94	2	no	—
255	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
256	#123	—	188	2	no	—
257	C₂²⋊Q₈	—	2	2	no	—
258	C₂²⋊Q₈	—	94	2	no	—
259	#121	—	94	2	no	—
260	#121	—	94	2	no	—
261	#120	—	188	2	no	—
262	C₄×D₄	—	188	2	no	—
263	C₄×D₄	—	188	2	no	—
264	#117	—	94	2	no	—
265	Q₃₂	—	2	2	no	—
266	SD₃₂	—	94	4	no	—
267	D₁₆	—	94	2	no	—
268	C₂×C₁₆	—	2	2	no	—
269	C₂×C₁₆	—	47	1	no	—
270	C₂×C₁₆	—	47	4	no	—
271	C₂×C₁₆	—	47	1	no	—
272	C₂×C₁₆	—	94	2	no	—
273	C₂×C₁₆	—	94	2	no	—
274	C₂×C₁₆	—	94	2	no	—
275	C₂×C₁₆	—	94	2	no	—
276	C₂×C₁₆	C₂²×D₄₇	1	1	yes	characteristic
277	C₂×C₁₆	C₂²×D₄₇	1	1	yes	characteristic
278	#107	—	47	2	no	—
279	#107	C₂²×D₄₇	1	2	yes	—
280	#106	—	94	2	no	—
281	#103	—	2	2	no	—
282	#103	—	94	2	no	—
283	#102	—	94	2	no	—
284	#102	—	94	2	no	—
285	C₂⁴	—	47	1	no	—
286	#41	—	188	4	no	—
287	#41	—	188	4	no	—
288	C₂×Q₈	—	2	2	no	—
289	C₂×D₄	—	94	2	no	—
290	C₂×D₄	—	188	2	no	—
291	C₂×D₄	—	188	2	no	—
292	C₂×D₄	—	188	2	no	—
293	C₂²×C₄	—	47	1	no	—
294	C₂²×C₄	—	47	1	no	—
295	C₂²×C₄	—	47	1	no	—
296	C₂²×C₄	—	47	1	no	—
297	C₂²×C₄	—	47	1	no	—
298	C₂²×C₄	—	94	2	no	—
299	C₂²×C₄	—	94	2	no	—
300	C₂²×C₄	—	188	2	no	—
301	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
302	Q₁₆	—	2	2	no	—
303	Q₁₆	—	2	2	no	—
304	SD₁₆	—	188	4	no	—
305	D₈	—	94	2	no	—
306	D₈	—	94	2	no	—
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	47	1	no	—
310	C₂×C₈	—	47	2	no	—
311	C₂×C₈	—	47	2	no	—
312	C₂×C₈	—	47	1	no	—
313	C₂×C₈	—	94	2	no	—
314	C₂×C₈	—	94	2	no	—
315	C₂×C₈	—	94	2	no	—
316	C₂×C₈	—	94	1	no	—
317	C₂×C₈	—	94	1	no	—
318	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
319	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	4	2	no	—
322	C₄⋊C₄	—	94	2	no	—
323	C₄⋊C₄	—	188	2	no	—
324	C₂²⋊C₄	—	4	2	no	—
325	C₂²⋊C₄	—	188	2	no	—
326	C₂²⋊C₄	—	188	2	no	—
327	C₂²⋊C₄	—	188	2	no	—
328	C₂²⋊C₄	—	188	2	no	—
329	C₄²	—	188	2	no	—
330	C₁₆	—	2	1	no	—
331	C₁₆	—	47	2	no	—
332	C₁₆	—	94	1	no	—
333	C₁₆	D₄×D₄₇	1	2	yes	—
334	C₂³	—	47	1	no	—
335	C₂³	—	47	1	no	—
336	C₂³	—	94	2	no	—
337	C₂³	—	94	2	no	—
338	C₂³	—	94	2	no	—
339	C₂³	—	188	2	no	—
340	C₂³	D₈×D₄₇	1	1	yes	characteristic
341	Q₈	—	4	2	no	—
342	Q₈	—	4	2	no	—
343	D₄	—	376	4	no	—
344	D₄	—	376	4	no	—
345	D₄	—	376	4	no	—
346	D₄	—	188	2	no	—
347	D₄	—	188	2	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	47	1	no	—
353	C₂×C₄	—	47	2	no	—
354	C₂×C₄	—	47	2	no	—
355	C₂×C₄	—	47	1	no	—
356	C₂×C₄	—	94	2	no	—
357	C₂×C₄	—	94	2	no	—
358	C₂×C₄	—	94	2	no	—
359	C₂×C₄	—	94	1	no	—
360	C₂×C₄	—	94	1	no	—
361	C₂×C₄	—	376	4	no	—
362	C₂×C₄	—	188	2	no	—
363	C₂×C₄	D₈×D₄₇	1	1	yes	characteristic
364	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
365	C₈	—	2	1	no	—
366	C₈	—	47	2	no	—
367	C₈	—	94	1	no	—
368	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
369	C₈	#41×D₄₇	1	1	yes	characteristic
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	47	2	no	—
373	C₂²	—	47	2	no	—
374	C₂²	—	94	8	no	—
375	C₂²	—	94	1	no	—
376	C₂²	—	94	1	no	—
377	C₂²	—	94	1	no	—
378	C₂²	—	94	1	no	—
379	C₂²	—	376	2	no	—
380	C₂²	—	376	2	no	—
381	C₂²	—	376	2	no	—
382	C₂²	#15689556	1	2	yes	complemented
383	C₂²	C₂×D₈×D₄₇	1	1	yes	characteristic
384	C₄	—	2	1	no	—
385	C₄	—	8	2	no	—
386	C₄	—	8	2	no	—
387	C₄	—	47	2	no	—
388	C₄	—	94	1	no	—
389	C₄	—	376	2	no	—
390	C₄	#121×D₄₇	1	1	yes	characteristic
391	C₄	#135×D₄₇	1	1	yes	characteristic
392	C₂	—	2	2	no	—
393	C₂	—	94	2	no	—
394	C₂	—	94	2	no	—
395	C₂	—	752	2	no	—
396	C₂	#466×D₄₇	1	1	yes	characteristic
397	C₂	#508×D₄₇	1	1	yes	characteristic
398	C₂	C₂×#15689556	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₈×D₄₇
commutator, cosocle	C₂×C₈×C₄₇	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₄₇×#2216	C₂
socle	C₂²×C₄₇	C₂²×D₈
hypercenter	#2216	D₄₇
hypocenter	C₄₇	#33600
LCS	G ▷ C₂×C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ #2216

Complements

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

N	H ≅ G/N	type
1. C₂×#15689556	C₂	semidirect
2. C₂²×C₁₆×D₄₇	C₂	semidirect
3. #20252971	C₂	semidirect
4. #20245487	C₂	semidirect
5. #20245486	C₂	semidirect
6. #20245476	C₂	semidirect
7. #20245475	C₂	semidirect
8. #20245474	C₂	semidirect
9. #20245169	C₂	semidirect
10. #20245094	C₂	semidirect
11. C₄₇×#2216	C₂	semidirect
16. C₂×#13093967	C₂²	semidirect
17. C₂×D₇₅₂	C₂²	semidirect
31. #15688950	C₂²	semidirect
32. #15688949	C₂²	semidirect
33. #15688927	C₂²	semidirect
34. #15688925	C₂²	semidirect
35. #15688923	C₂²	semidirect
36. C₂×Q₃₂×C₄₇	C₂²	semidirect
39. C₄₇×#366	C₂²	semidirect
40. C₄₇×#358	C₂²	semidirect
70. C₁₆×D₄₇	D₄	semidirect
173. C₂²×C₄₇	#508	semidirect
184. C₂×D₄₇	#508	semidirect
199. #2216	D₄₇	semidirect
215. C₂×Q₃₂	C₂×D₄₇	semidirect
235. #366	C₂×D₄₇	semidirect
237. #358	C₂×D₄₇	semidirect
240. C₄₇	#33600	semidirect
382. C₂²	#15689556	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689556	2
C₂²×C₁₆×D₄₇	2
#20252971	2
#20245487	2
#20245486	2
#20245476	2
#20245475	2
#20245474	2
#20245169	2
#20245094	2
C₄₇×#2216	2
#33600	47