Subgroups — #26207868

Order 12032.

692 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256362	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255709	C₂	1	2	yes	maximal, complemented
3	#20242995	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242951	C₂	1	2	yes	maximal, complemented
5	#20242755	C₂	1	1	yes	maximal, characteristic, complemented
6	#20242743	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242586	C₂	1	2	yes	maximal, complemented
8	#20242477	C₂	1	2	yes	maximal, complemented
9	#20242273	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈×#10625335	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3283	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689794	C₂²	1	2	yes	—
13	#15689500	C₂²	1	1	yes	characteristic
14	#15689498	—	2	1	no	—
15	#15689471	C₂²	1	2	yes	—
16	#15689471	C₂²	1	2	yes	—
17	#15689441	—	2	2	no	—
18	#15689405	C₂²	1	2	yes	—
19	#15689374	—	2	2	no	—
20	#15689318	C₂²	1	2	yes	—
21	#15689318	C₂²	1	2	yes	—
22	#15689317	—	2	2	no	—
23	#15689266	—	2	2	no	—
24	C₈×Dic₉₄	C₂²	1	1	yes	characteristic
25	C₄×#10625335	C₂²	1	1	yes	characteristic
26	#15689205	—	2	1	no	—
27	#15689201	C₂²	1	2	yes	—
28	#15689122	—	2	2	no	—
29	#15688876	C₂²	1	1	yes	characteristic
30	#15688873	C₂²	1	1	yes	characteristic
31	#15688869	C₂²	1	2	yes	—
32	#15688866	C₂²	1	2	yes	—
33	#15688853	C₂²	1	1	yes	characteristic
34	D₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
35	D₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
36	C₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
37	C₂×#135×C₄₇	—	2	1	no	—
38	C₄₇×#547	C₂²	1	2	yes	—
39	C₄₇×#494	C₂²	1	1	yes	characteristic
40	C₄₇×#467	—	2	1	no	—
41	C₄₇×#461	C₂²	1	2	yes	—
42	C₄₇×#452	—	2	2	no	—
43	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
44	C₈×D₄×C₄₇	C₂²	1	1	yes	characteristic
45	C₂×#10625350	—	2	2	no	—
46	C₂×#10625335	D₄	1	1	yes	characteristic
47	C₂×D₃₇₆	—	2	1	no	—
48	C₂×D₃₇₆	—	2	1	no	—
49	C₂×#10625334	—	2	2	no	—
50	C₂×#10625334	—	2	2	no	—
51	C₂×#10625329	—	2	2	no	—
52	#13094021	C₂³	1	2	yes	—
53	#13094020	—	2	2	no	—
54	#13093998	—	2	2	no	—
55	#13093997	—	4	2	no	—
56	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
57	#13093986	—	2	2	no	—
58	#13093955	—	2	2	no	—
59	#13093955	D₄	1	1	yes	characteristic
60	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
61	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
62	Dic₄₇⋊C₈	—	2	1	no	—
63	#13093947	—	2	2	no	—
64	#13093947	D₄	1	1	yes	characteristic
65	#13093945	D₄	1	1	yes	characteristic
66	#13093944	—	2	2	no	—
67	#13093944	—	2	2	no	—
68	#13093944	—	2	2	no	—
69	#13093944	—	2	2	no	—
70	#13093944	—	4	2	no	—
71	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
72	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
73	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
74	C₈×Dic₄₇	—	2	1	no	—
75	C₂×#41×C₄₇	—	2	2	no	—
76	#135×C₄₇	—	4	4	no	—
77	C₂×Q₁₆×C₄₇	—	2	1	no	—
78	C₂×Q₁₆×C₄₇	—	2	1	no	—
79	C₂×SD₁₆×C₄₇	—	2	2	no	—
80	C₂×D₈×C₄₇	D₄	1	1	yes	characteristic
81	C₂²×C₈×C₄₇	—	2	1	no	—
82	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	—
83	#123×C₄₇	—	4	2	no	—
84	C₂²⋊Q₈×C₄₇	—	2	2	no	—
85	#121×C₄₇	—	2	2	no	—
86	C₄×D₄×C₄₇	C₂³	1	2	yes	—
87	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
88	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
89	#107×C₄₇	D₄	1	1	yes	characteristic
90	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
91	#103×C₄₇	—	2	2	no	—
92	#102×C₄₇	D₄	1	2	yes	—
93	C₂²⋊C₈×C₄₇	—	2	1	no	—
94	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
95	#41×C₄₇	—	4	4	no	—
96	#41×C₄₇	—	8	2	no	—
97	C₂×Q₈×C₄₇	—	2	2	no	—
98	C₂×D₄×C₄₇	—	4	2	no	—
99	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
100	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
101	C₂²×C₄×C₄₇	—	2	2	no	—
102	C₂²×C₄×C₄₇	—	2	1	no	—
103	C₂²×C₄×C₄₇	—	4	2	no	—
104	C₂×C₂²⋊D₄₇	—	4	2	no	—
105	C₂×C₂²⋊D₄₇	—	4	2	no	—
106	#10625350	—	4	4	no	—
107	#10625350	—	8	2	no	—
108	C₂×D₁₈₈	—	2	2	no	—
109	C₂×D₁₈₈	—	2	2	no	—
110	C₂×D₁₈₈	—	2	2	no	—
111	C₂×C₄×D₄₇	—	4	2	no	—
112	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
113	Q₁₆×C₄₇	—	4	2	no	—
114	Q₁₆×C₄₇	—	8	1	no	—
115	SD₁₆×C₄₇	—	4	4	no	—
116	D₈×C₄₇	—	2	2	no	—
117	C₂×C₈×C₄₇	—	2	1	no	—
118	C₂×C₈×C₄₇	—	4	2	no	—
119	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
121	C₄⋊C₄×C₄₇	—	2	2	no	—
122	C₄⋊C₄×C₄₇	—	2	2	no	—
123	C₄⋊C₄×C₄₇	—	4	2	no	—
124	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
126	C₂²⋊C₄×C₄₇	—	2	1	no	—
127	C₂²⋊C₄×C₄₇	—	2	2	no	—
128	C₂²⋊C₄×C₄₇	—	4	2	no	—
129	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
130	#10625335	—	2	2	no	—
131	#10625334	—	8	2	no	—
132	#10625334	—	8	2	no	—
133	(C₂×D₄₇)⋊C₄	—	4	2	no	—
134	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
135	Dic₄₇⋊C₄	—	2	1	no	—
136	C₄×Dic₄₇	—	2	1	no	—
137	#10625329	—	8	2	no	—
138	C₂×C₄₇⋊C₈	—	2	1	no	—
139	C₂×C₄₇⋊C₈	—	2	2	no	—
140	C₂×C₄₇⋊C₈	—	2	1	no	—
141	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
143	D₃₇₆	—	4	2	no	—
144	D₃₇₆	—	8	1	no	—
145	C₂³×C₄₇	—	2	1	no	—
146	C₂³×C₄₇	—	2	2	no	—
147	C₂²×D₄₇	—	4	2	no	—
148	Q₈×C₄₇	—	4	2	no	—
149	Q₈×C₄₇	—	4	2	no	—
150	D₄×C₄₇	—	2	1	no	—
151	D₄×C₄₇	—	2	2	no	—
152	D₄×C₄₇	—	2	1	no	—
153	D₄×C₄₇	—	2	2	no	—
154	D₄×C₄₇	—	8	4	no	—
155	C₂×C₄×C₄₇	—	2	2	no	—
156	C₂×C₄×C₄₇	—	2	1	no	—
157	C₂×C₄×C₄₇	—	4	2	no	—
158	C₂×C₄×C₄₇	—	4	1	no	—
159	C₂×C₄×C₄₇	—	4	2	no	—
160	C₂×C₄×C₄₇	—	4	1	no	—
161	C₂×C₄×C₄₇	—	4	2	no	—
162	C₂×C₄×C₄₇	—	8	4	no	—
163	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
166	C₂²⋊D₄₇	—	8	4	no	—
167	C₂²⋊D₄₇	—	16	2	no	—
168	C₂×Dic₄₇	—	2	1	no	—
169	C₂×Dic₄₇	—	2	1	no	—
170	D₁₈₈	—	4	2	no	—
171	D₁₈₈	—	4	2	no	—
172	D₁₈₈	—	4	2	no	—
173	D₁₈₈	—	4	2	no	—
174	D₁₈₈	—	8	2	no	—
175	C₄×D₄₇	—	8	4	no	—
176	Dic₉₄	—	2	1	no	—
177	Dic₉₄	#135	1	2	yes	complemented
178	C₈×C₄₇	—	2	1	no	—
179	C₈×C₄₇	—	4	1	no	—
180	C₈×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
181	C₄₇⋊C₈	—	2	1	no	—
182	C₄₇⋊C₈	—	2	1	no	—
183	C₄₇⋊C₈	—	4	1	no	—
184	C₄₇⋊C₈	—	4	2	no	—
185	C₄₇⋊C₈	—	4	1	no	—
186	#19908	—	47	1	no	maximal, Sylow
187	C₂²×C₄₇	—	4	1	no	—
188	C₂²×C₄₇	—	4	2	no	—
189	C₂²×C₄₇	—	4	2	no	—
190	C₂²×C₄₇	—	4	1	no	—
191	C₂²×C₄₇	—	4	2	no	—
192	C₂²×C₄₇	—	4	1	no	—
193	C₂²×C₄₇	D₄²	1	1	yes	characteristic
194	C₂×D₄₇	—	8	2	no	—
195	C₂×D₄₇	—	8	2	no	—
196	C₂×D₄₇	—	8	2	no	—
197	C₄×C₄₇	—	2	1	no	—
198	C₄×C₄₇	—	4	1	no	—
199	C₄×C₄₇	—	4	2	no	—
200	C₄×C₄₇	—	8	2	no	—
201	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
202	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
203	C₄×C₄₇	#576	1	1	yes	characteristic
204	C₄×C₄₇	#576	1	1	yes	characteristic
205	Dic₄₇	—	2	2	no	—
206	Dic₄₇	—	4	1	no	—
207	#3391	—	47	1	no	—
208	#3332	—	47	2	no	—
209	#3283	D₄₇	1	1	yes	characteristic, complemented
210	#1709	—	47	1	no	—
211	#1701	—	47	2	no	—
212	#1670	—	47	1	no	—
213	#1667	—	47	1	no	—
214	#1642	—	47	2	no	—
215	#1625	—	47	2	no	—
216	#1589	—	47	1	no	—
217	C₈×SD₁₆	—	47	1	no	—
218	C₂×C₄₇	—	8	1	no	—
219	C₂×C₄₇	—	8	2	no	—
220	C₂×C₄₇	#3274	1	1	yes	characteristic
221	C₂×C₄₇	#3280	1	1	yes	characteristic
222	C₂×C₄₇	#3290	1	1	yes	characteristic
223	D₄₇	—	16	2	no	—
224	C₂×#135	—	2	1	no	—
225	#550	—	47	2	no	—
226	#547	C₂×D₄₇	1	2	yes	—
227	#494	C₂×D₄₇	1	1	yes	characteristic
228	#493	—	47	1	no	—
229	#493	—	94	1	no	—
230	#486	—	47	2	no	—
231	#486	—	47	2	no	—
232	#481	—	94	2	no	—
233	#475	—	47	2	no	—
234	#469	—	94	2	no	—
235	#467	—	2	1	no	—
236	#461	C₂×D₄₇	1	2	yes	—
237	#459	—	47	2	no	—
238	#459	—	47	2	no	—
239	#459	—	94	2	no	—
240	#452	—	2	2	no	—
241	#449	—	94	2	no	—
242	C₈×Q₈	—	47	1	no	—
243	C₄×SD₁₆	—	47	1	no	—
244	C₄×D₈	—	94	1	no	—
245	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
246	#436	—	47	2	no	—
247	C₈×D₄	C₂×D₄₇	1	1	yes	characteristic
248	#417	—	94	2	no	—
249	#335	—	47	1	no	—
250	#334	—	47	1	no	—
251	#332	—	47	2	no	—
252	#331	—	47	2	no	—
253	Q₈⋊C₈	—	47	1	no	—
254	D₄⋊C₈	—	47	1	no	—
255	D₄⋊C₈	—	47	2	no	—
256	C₈²	—	47	1	no	—
257	C₄₇	#19908	1	1	yes	characteristic, complemented, Sylow
258	C₂×#41	—	2	2	no	—
259	C₂×#41	—	94	2	no	—
260	#135	—	4	4	no	—
261	C₂×Q₁₆	—	2	1	no	—
262	C₂×Q₁₆	—	2	1	no	—
263	C₂×SD₁₆	—	2	2	no	—
264	C₂×SD₁₆	—	47	1	no	—
265	C₂×D₈	—	94	2	no	—
266	C₂×D₈	—	94	2	no	—
267	C₂×D₈	—	94	1	no	—
268	C₂×D₈	—	94	1	no	—
269	C₂×D₈	C₂²⋊D₄₇	1	1	yes	characteristic
270	C₂×M₁₆	—	94	2	no	—
271	C₂²×C₈	—	2	1	no	—
272	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	—
273	#127	—	47	2	no	—
274	#127	—	94	2	no	—
275	#123	—	4	2	no	—
276	C₂²⋊Q₈	—	2	2	no	—
277	#121	—	2	2	no	—
278	#121	—	94	2	no	—
279	#121	—	188	2	no	—
280	C₄×Q₈	—	47	1	no	—
281	C₄×D₄	—	94	2	no	—
282	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
283	C₄×D₄	C₂²×D₄₇	1	2	yes	—
284	C₂×C₄⋊C₄	—	2	2	no	—
285	#107	C₂²⋊D₄₇	1	1	yes	characteristic
286	#106	—	47	1	no	—
287	#106	—	94	2	no	—
288	C₄⋊C₈	—	47	2	no	—
289	C₄⋊C₈	—	47	1	no	—
290	C₄⋊C₈	—	94	1	no	—
291	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
292	#103	—	2	2	no	—
293	#103	—	47	1	no	—
294	#103	—	94	2	no	—
295	#102	—	47	1	no	—
296	#102	—	94	2	no	—
297	#102	—	94	2	no	—
298	#102	—	94	2	no	—
299	#102	—	94	2	no	—
300	#102	—	188	2	no	—
301	#102	C₂²⋊D₄₇	1	2	yes	—
302	C₂²⋊C₈	—	2	1	no	—
303	C₂²⋊C₈	—	94	2	no	—
304	C₄×C₈	—	47	1	no	—
305	C₄×C₈	—	47	1	no	—
306	C₄×C₈	—	94	1	no	—
307	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
308	#41	—	4	4	no	—
309	#41	—	8	2	no	—
310	#41	—	376	2	no	—
311	#41	—	188	4	no	—
312	C₂×Q₈	—	2	2	no	—
313	C₂×Q₈	—	47	1	no	—
314	C₂×D₄	—	4	2	no	—
315	C₂×D₄	—	94	2	no	—
316	C₂×D₄	—	94	2	no	—
317	C₂×D₄	—	94	2	no	—
318	C₂×D₄	—	188	2	no	—
319	C₂×D₄	—	188	2	no	—
320	C₂×D₄	D₄×D₄₇	1	1	yes	characteristic
321	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
322	C₂²×C₄	—	2	2	no	—
323	C₂²×C₄	—	2	1	no	—
324	C₂²×C₄	—	4	2	no	—
325	C₂²×C₄	—	188	2	no	—
326	Q₁₆	—	4	2	no	—
327	Q₁₆	—	8	1	no	—
328	SD₁₆	—	4	4	no	—
329	SD₁₆	—	94	2	no	—
330	D₈	—	2	2	no	—
331	D₈	—	376	1	no	—
332	D₈	—	376	2	no	—
333	D₈	—	376	2	no	—
334	D₈	—	188	2	no	—
335	M₁₆	—	376	2	no	—
336	C₂×C₈	—	2	1	no	—
337	C₂×C₈	—	4	2	no	—
338	C₂×C₈	—	47	1	no	—
339	C₂×C₈	—	47	1	no	—
340	C₂×C₈	—	94	2	no	—
341	C₂×C₈	—	94	1	no	—
342	C₂×C₈	—	94	1	no	—
343	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
344	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	2	2	no	—
347	C₄⋊C₄	—	4	2	no	—
348	C₄⋊C₄	—	47	1	no	—
349	C₄⋊C₄	—	94	1	no	—
350	C₄⋊C₄	D₄×D₄₇	1	1	yes	characteristic
351	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
352	C₂²⋊C₄	—	2	2	no	—
353	C₂²⋊C₄	—	2	1	no	—
354	C₂²⋊C₄	—	4	2	no	—
355	C₂²⋊C₄	—	188	2	no	—
356	C₄²	—	94	1	no	—
357	C₄²	C₂³×D₄₇	1	1	yes	characteristic
358	C₂³	—	2	1	no	—
359	C₂³	—	2	2	no	—
360	C₂³	—	188	2	no	—
361	Q₈	—	4	2	no	—
362	Q₈	—	4	2	no	—
363	Q₈	—	47	2	no	—
364	Q₈	—	94	1	no	—
365	D₄	—	2	1	no	—
366	D₄	—	2	2	no	—
367	D₄	—	2	1	no	—
368	D₄	—	2	2	no	—
369	D₄	—	8	4	no	—
370	D₄	—	376	2	no	—
371	D₄	—	376	4	no	—
372	D₄	—	188	2	no	—
373	D₄	—	188	2	no	—
374	D₄	—	188	2	no	—
375	D₄	—	188	2	no	—
376	D₄	—	752	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	4	2	no	—
380	C₂×C₄	—	4	1	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	4	1	no	—
383	C₂×C₄	—	4	2	no	—
384	C₂×C₄	—	8	4	no	—
385	C₂×C₄	—	94	1	no	—
386	C₂×C₄	—	94	1	no	—
387	C₂×C₄	—	376	4	no	—
388	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
389	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
390	C₂×C₄	#13094069	1	1	yes	characteristic
391	C₈	—	2	1	no	—
392	C₈	—	4	1	no	—
393	C₈	—	94	1	no	—
394	C₈	—	94	1	no	—
395	C₈	—	188	1	no	—
396	C₈	—	188	2	no	—
397	C₈	—	188	1	no	—
398	C₈	#13094050	1	2	yes	—
399	C₂²	—	4	1	no	—
400	C₂²	—	4	2	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	1	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	4	1	no	—
405	C₂²	—	376	2	no	—
406	C₂²	—	376	2	no	—
407	C₂²	—	376	2	no	—
408	C₂²	D₄×C₂²⋊D₄₇	1	1	yes	characteristic
409	C₄	—	2	1	no	—
410	C₄	—	4	1	no	—
411	C₄	—	4	2	no	—
412	C₄	—	8	2	no	—
413	C₄	—	94	2	no	—
414	C₄	—	188	1	no	—
415	C₄	#135×D₄₇	1	1	yes	characteristic
416	C₄	C₂×#13094050	1	1	yes	characteristic
417	C₄	#15689925	1	1	yes	characteristic
418	C₄	#15689926	1	1	yes	characteristic
419	C₂	—	8	1	no	—
420	C₂	—	8	2	no	—
421	C₂	—	752	2	no	—
422	C₂	#20255004	1	1	yes	characteristic
423	C₂	#20255067	1	1	yes	characteristic
424	C₂	#20255174	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₄×C₂²⋊D₄₇
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#3283	C₂
socle	C₂²×C₄₇	D₄²
hypercenter	#3283	D₄₇
hypocenter	C₄₇	#19908
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #3283

Complements

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

N	H ≅ G/N	type
1. #20256362	C₂	semidirect
2. #20255709	C₂	semidirect
3. #20242995	C₂	semidirect
4. #20242951	C₂	semidirect
5. #20242755	C₂	semidirect
6. #20242743	C₂	semidirect
7. #20242586	C₂	semidirect
8. #20242477	C₂	semidirect
9. #20242273	C₂	semidirect
10. C₈×#10625335	C₂	semidirect
11. C₄₇×#3283	C₂	semidirect
177. Dic₉₄	#135	semidirect
209. #3283	D₄₇	semidirect
257. C₄₇	#19908	semidirect

Maximal subgroups

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

subgroup	index
#20256362	2
#20255709	2
#20242995	2
#20242951	2
#20242755	2
#20242743	2
#20242586	2
#20242477	2
#20242273	2
C₈×#10625335	2
C₄₇×#3283	2
#19908	47