Subgroups — #25251031

Order 11008.

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×#14583328	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19144174	C₂	1	2	yes	maximal, complemented
4	#19136690	C₂	1	2	yes	maximal, complemented
5	#19136689	C₂	1	2	yes	maximal, complemented
6	#19136687	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136686	C₂	1	1	yes	maximal, characteristic, complemented
8	#19136678	C₂	1	1	yes	maximal, characteristic, complemented
9	#19136376	C₂	1	1	yes	maximal, characteristic, complemented
10	#19136299	C₂	1	2	yes	maximal, complemented
11	C₄₃×#2215	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063344	C₂²	1	2	yes	—
13	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
14	#14583409	—	2	2	no	—
15	#14583328	—	2	4	no	—
16	C₂×Dic₃₄₄	C₂²	1	1	yes	characteristic, complemented
17	C₂×#13063269	C₂²	1	2	yes	complemented
18	C₂²×C₄₃⋊C₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₁₆×D₄₃	—	2	4	no	—
20	C₂×C₁₆×D₄₃	C₂²	1	1	yes	characteristic
21	C₂×C₁₆×D₄₃	C₂²	1	1	yes	characteristic
22	C₂×C₁₆×D₄₃	C₂²	1	1	yes	characteristic
23	C₂×C₁₆×D₄₃	C₂²	1	1	yes	characteristic
24	#14583141	C₂²	1	2	yes	—
25	#14583140	C₂²	1	2	yes	—
26	#14583132	C₂²	1	2	yes	—
27	#14583127	—	2	2	no	—
28	#14583126	—	2	2	no	—
29	#14582936	C₂²	1	2	yes	—
30	#14582892	—	2	2	no	—
31	#14582726	C₂²	1	2	yes	complemented
32	#14582725	C₂²	1	1	yes	characteristic, complemented
33	#14582704	C₂²	1	2	yes	complemented
34	#14582702	C₂²	1	2	yes	complemented
35	#14582700	C₂²	1	2	yes	complemented
36	C₂×D₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
38	C₄₃×#466	C₂²	1	2	yes	—
39	C₄₃×#366	C₂²	1	1	yes	characteristic, complemented
40	C₄₃×#357	C₂²	1	2	yes	complemented
41	C₂×#10621900	—	2	2	no	—
42	C₂²×C₄×D₄₃	D₄	1	1	yes	characteristic
43	#13063344	—	2	4	no	—
44	#13063344	—	2	4	no	—
45	C₂×Dic₁₇₂	C₂³	1	2	yes	—
46	C₂×#10621883	—	2	2	no	—
47	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
48	C₂×C₈×D₄₃	—	2	2	no	—
49	C₂×C₈×D₄₃	—	2	2	no	—
50	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
51	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
52	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
53	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
54	#13063307	—	4	2	no	—
55	#13063305	—	2	2	no	—
56	#13063304	—	2	2	no	—
57	#13063296	—	2	2	no	—
58	#13063293	—	4	2	no	—
59	D₄×Dic₄₃	—	4	2	no	—
60	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
61	#13063283	—	2	2	no	—
62	Dic₃₄₄	—	2	2	no	—
63	#13063269	—	2	4	no	—
64	C₂×C₄₃⋊C₁₆	—	2	2	no	—
65	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
66	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
67	C₁₆×D₄₃	—	2	2	no	—
68	C₁₆×D₄₃	—	2	2	no	—
69	C₁₆×D₄₃	—	2	2	no	—
70	C₁₆×D₄₃	D₄	1	4	yes	complemented
71	#13063259	C₂³	1	2	yes	—
72	#13063256	—	2	2	no	—
73	#13063250	—	2	2	no	—
74	#13063248	—	2	2	no	—
75	#13063246	—	2	2	no	—
76	C₂×D₈×C₄₃	C₂³	1	2	yes	—
77	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
78	#121×C₄₃	—	2	2	no	—
79	D₁₆×C₄₃	—	2	2	no	—
80	C₂×C₁₆×C₄₃	—	2	2	no	—
81	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
82	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
83	#107×C₄₃	C₂³	1	2	yes	—
84	#102×C₄₃	—	2	2	no	—
85	C₂³×D₄₃	D₈	1	1	yes	characteristic
86	C₂×D₄×C₄₃	—	2	2	no	—
87	C₂×D₄×C₄₃	—	4	2	no	—
88	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
89	C₂×C₂²⋊D₄₃	—	4	2	no	—
90	C₂×C₂²⋊D₄₃	—	4	2	no	—
91	C₂²×Dic₄₃	—	4	2	no	—
92	C₂²×Dic₄₃	D₈	1	1	yes	characteristic
93	#10621900	—	4	4	no	—
94	#10621900	—	4	4	no	—
95	C₂×C₄×D₄₃	—	2	2	no	—
96	C₂×C₄×D₄₃	—	2	2	no	—
97	C₂×C₄×D₄₃	D₈	1	1	yes	characteristic
98	C₂×C₄×D₄₃	D₈	1	1	yes	characteristic
99	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
100	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
101	C₂×Dic₈₆	—	2	2	no	—
102	D₈×C₄₃	—	2	2	no	—
103	D₈×C₄₃	—	2	2	no	—
104	C₂×C₈×C₄₃	—	2	1	no	—
105	C₂×C₈×C₄₃	—	2	1	no	—
106	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
108	C₄⋊C₄×C₄₃	—	2	2	no	—
109	C₂²⋊C₄×C₄₃	—	4	2	no	—
110	C₂²⋊Dic₄₃	—	4	2	no	—
111	C₂²⋊Dic₄₃	—	4	2	no	—
112	#10621883	—	4	4	no	—
113	(C₂×D₄₃)⋊C₄	—	4	2	no	—
114	(C₂×D₄₃)⋊C₄	—	4	2	no	—
115	C₄⋊Dic₄₃	—	2	2	no	—
116	C₄⋊Dic₄₃	—	4	2	no	—
117	Dic₄₃⋊C₄	—	4	2	no	—
118	C₄×Dic₄₃	—	4	2	no	—
119	C₂×C₄₃⋊C₈	—	2	2	no	—
120	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
121	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
122	Dic₁₇₂	—	2	2	no	—
123	Dic₁₇₂	—	2	2	no	—
124	C₈×D₄₃	—	2	2	no	—
125	C₈×D₄₃	—	2	1	no	—
126	C₈×D₄₃	—	2	1	no	—
127	C₈×D₄₃	—	2	2	no	—
128	C₈×D₄₃	C₂×D₄	1	2	yes	—
129	C₈×D₄₃	#41	1	2	yes	—
130	C₁₆×C₄₃	—	2	1	no	—
131	C₁₆×C₄₃	C₂×D₄	1	2	yes	—
132	C₄₃⋊C₁₆	—	2	1	no	—
133	C₄₃⋊C₁₆	C₂×D₄	1	2	yes	—
134	C₂³×C₄₃	—	4	2	no	—
135	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
136	C₂²×D₄₃	—	2	2	no	—
137	C₂²×D₄₃	—	2	2	no	—
138	C₂²×D₄₃	—	2	2	no	—
139	C₂²×D₄₃	C₂×D₈	1	1	yes	characteristic
140	C₂²×D₄₃	C₂×D₈	1	1	yes	characteristic
141	D₄×C₄₃	—	4	2	no	—
142	D₄×C₄₃	—	4	2	no	—
143	D₄×C₄₃	—	8	4	no	—
144	C₂×C₄×C₄₃	—	2	1	no	—
145	C₂×C₄×C₄₃	—	2	1	no	—
146	C₂×C₄×C₄₃	—	4	2	no	—
147	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
148	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
149	C₂²⋊D₄₃	—	8	4	no	—
150	C₂²⋊D₄₃	—	8	4	no	—
151	C₂×Dic₄₃	—	2	2	no	—
152	C₂×Dic₄₃	—	4	2	no	—
153	C₂×Dic₄₃	—	4	2	no	—
154	C₂×Dic₄₃	—	8	4	no	—
155	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
156	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
157	C₄×D₄₃	—	2	2	no	—
158	C₄×D₄₃	—	2	1	no	—
159	C₄×D₄₃	—	2	1	no	—
160	C₄×D₄₃	—	2	2	no	—
161	C₄×D₄₃	#121	1	2	yes	—
162	C₄×D₄₃	#135	1	2	yes	—
163	Dic₈₆	—	4	2	no	—
164	Dic₈₆	—	4	2	no	—
165	C₈×C₄₃	—	2	1	no	—
166	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
167	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
168	C₄₃⋊C₈	—	2	1	no	—
169	C₄₃⋊C₈	#121	1	2	yes	—
170	#33600	—	43	1	no	maximal, Sylow
171	C₂²×C₄₃	—	2	1	no	—
172	C₂²×C₄₃	—	2	1	no	—
173	C₂²×C₄₃	—	8	2	no	—
174	C₂²×C₄₃	—	8	2	no	—
175	C₂²×C₄₃	—	8	2	no	—
176	C₂²×C₄₃	#508	1	2	yes	complemented
177	C₂²×C₄₃	C₂²×D₈	1	1	yes	characteristic
178	C₂×D₄₃	—	2	8	no	—
179	C₂×D₄₃	—	2	1	no	—
180	C₂×D₄₃	—	2	1	no	—
181	C₂×D₄₃	—	2	1	no	—
182	C₂×D₄₃	—	2	1	no	—
183	C₂×D₄₃	#466	1	2	yes	—
184	C₂×D₄₃	#508	1	2	yes	complemented
185	C₄×C₄₃	—	2	1	no	—
186	C₄×C₄₃	—	8	2	no	—
187	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
188	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
189	Dic₄₃	—	2	1	no	—
190	Dic₄₃	—	8	2	no	—
191	Dic₄₃	—	8	2	no	—
192	Dic₄₃	#466	1	2	yes	—
193	C₂×#508	—	43	1	no	—
194	C₂³×C₁₆	—	43	1	no	—
195	#3050	—	43	2	no	—
196	#2217	—	43	2	no	—
197	#2217	—	43	2	no	—
198	#2216	—	43	1	no	—
199	#2216	—	43	1	no	—
200	#2215	—	43	1	no	—
201	#2215	D₄₃	1	1	yes	characteristic, complemented
202	#2158	—	43	1	no	—
203	#2138	—	43	2	no	—
204	C₂×C₄₃	—	2	2	no	—
205	C₂×C₄₃	—	16	2	no	—
206	C₂×C₄₃	C₂×#466	1	1	yes	characteristic
207	C₂×C₄₃	C₂×#508	1	1	yes	characteristic
208	C₂×C₄₃	C₂×#508	1	1	yes	characteristic
209	D₄₃	—	2	2	no	—
210	D₄₃	—	2	2	no	—
211	C₂×#135	—	43	2	no	—
212	C₂³×C₈	—	43	1	no	—
213	#525	—	86	2	no	—
214	#508	—	86	4	no	—
215	C₂×Q₃₂	—	43	1	no	—
216	C₂×SD₃₂	—	43	2	no	—
217	C₂×D₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
218	C₂²×C₁₆	—	43	1	no	—
219	C₂²×C₁₆	—	43	1	no	—
220	C₂²×C₁₆	—	43	1	no	—
221	C₂²×C₁₆	—	43	1	no	—
222	C₂²×C₁₆	—	43	1	no	—
223	C₂²×C₁₆	—	86	4	no	—
224	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic
225	#467	—	43	2	no	—
226	#467	—	43	2	no	—
227	#466	—	43	2	no	—
228	#466	C₂×D₄₃	1	2	yes	—
229	#465	—	86	2	no	—
230	#465	—	86	2	no	—
231	#427	—	43	2	no	—
232	#416	—	86	2	no	—
233	#367	—	43	2	no	—
234	#366	—	43	1	no	—
235	#366	C₂×D₄₃	1	1	yes	characteristic, complemented
236	#358	—	43	2	no	—
237	#358	—	43	2	no	—
238	#357	—	43	2	no	—
239	#357	C₂×D₄₃	1	2	yes	complemented
240	C₄₃	#33600	1	1	yes	characteristic, complemented, Sylow
241	C₂×#41	—	86	2	no	—
242	C₂³×C₄	—	43	1	no	—
243	#135	—	86	4	no	—
244	#135	—	86	4	no	—
245	C₂×Q₁₆	—	43	2	no	—
246	C₂×SD₁₆	—	86	2	no	—
247	C₂×D₈	C₂²×D₄₃	1	2	yes	—
248	C₂²×C₈	—	43	1	no	—
249	C₂²×C₈	—	43	1	no	—
250	C₂²×C₈	—	43	1	no	—
251	C₂²×C₈	—	43	1	no	—
252	C₂²×C₈	—	43	1	no	—
253	C₂²×C₈	—	86	2	no	—
254	C₂²×C₈	—	86	2	no	—
255	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
256	#123	—	172	2	no	—
257	C₂²⋊Q₈	—	86	2	no	—
258	C₂²⋊Q₈	—	86	2	no	—
259	#121	—	2	2	no	—
260	#121	—	86	2	no	—
261	#120	—	172	2	no	—
262	C₄×D₄	—	172	2	no	—
263	C₄×D₄	—	172	2	no	—
264	#117	—	86	2	no	—
265	Q₃₂	—	86	2	no	—
266	SD₃₂	—	86	4	no	—
267	D₁₆	—	2	2	no	—
268	C₂×C₁₆	—	2	2	no	—
269	C₂×C₁₆	—	43	1	no	—
270	C₂×C₁₆	—	43	4	no	—
271	C₂×C₁₆	—	43	1	no	—
272	C₂×C₁₆	—	86	2	no	—
273	C₂×C₁₆	—	86	2	no	—
274	C₂×C₁₆	—	86	2	no	—
275	C₂×C₁₆	—	86	2	no	—
276	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
277	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
278	#107	—	43	2	no	—
279	#107	C₂²×D₄₃	1	2	yes	—
280	#106	—	86	2	no	—
281	#103	—	86	2	no	—
282	#103	—	86	2	no	—
283	#102	—	2	2	no	—
284	#102	—	86	2	no	—
285	C₂⁴	—	43	1	no	—
286	#41	—	172	4	no	—
287	#41	—	172	4	no	—
288	C₂×Q₈	—	86	2	no	—
289	C₂×D₄	—	2	2	no	—
290	C₂×D₄	—	4	2	no	—
291	C₂×D₄	—	172	2	no	—
292	C₂×D₄	—	172	2	no	—
293	C₂²×C₄	—	43	1	no	—
294	C₂²×C₄	—	43	1	no	—
295	C₂²×C₄	—	43	1	no	—
296	C₂²×C₄	—	43	1	no	—
297	C₂²×C₄	—	43	1	no	—
298	C₂²×C₄	—	86	2	no	—
299	C₂²×C₄	—	86	2	no	—
300	C₂²×C₄	—	172	2	no	—
301	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
302	Q₁₆	—	86	2	no	—
303	Q₁₆	—	86	2	no	—
304	SD₁₆	—	172	4	no	—
305	D₈	—	2	2	no	—
306	D₈	—	2	2	no	—
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	43	1	no	—
310	C₂×C₈	—	43	2	no	—
311	C₂×C₈	—	43	2	no	—
312	C₂×C₈	—	43	1	no	—
313	C₂×C₈	—	86	2	no	—
314	C₂×C₈	—	86	2	no	—
315	C₂×C₈	—	86	2	no	—
316	C₂×C₈	—	86	1	no	—
317	C₂×C₈	—	86	1	no	—
318	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
319	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	86	2	no	—
322	C₄⋊C₄	—	172	2	no	—
323	C₄⋊C₄	—	172	2	no	—
324	C₂²⋊C₄	—	4	2	no	—
325	C₂²⋊C₄	—	172	2	no	—
326	C₂²⋊C₄	—	172	2	no	—
327	C₂²⋊C₄	—	172	2	no	—
328	C₂²⋊C₄	—	172	2	no	—
329	C₄²	—	172	2	no	—
330	C₁₆	—	2	1	no	—
331	C₁₆	—	43	2	no	—
332	C₁₆	—	86	1	no	—
333	C₁₆	D₄×D₄₃	1	2	yes	—
334	C₂³	—	4	2	no	—
335	C₂³	—	43	1	no	—
336	C₂³	—	43	1	no	—
337	C₂³	—	86	2	no	—
338	C₂³	—	86	2	no	—
339	C₂³	—	86	2	no	—
340	C₂³	D₈×D₄₃	1	1	yes	characteristic
341	Q₈	—	172	2	no	—
342	Q₈	—	172	2	no	—
343	D₄	—	4	2	no	—
344	D₄	—	4	2	no	—
345	D₄	—	8	4	no	—
346	D₄	—	344	4	no	—
347	D₄	—	344	4	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	43	1	no	—
352	C₂×C₄	—	43	2	no	—
353	C₂×C₄	—	43	2	no	—
354	C₂×C₄	—	43	1	no	—
355	C₂×C₄	—	86	2	no	—
356	C₂×C₄	—	86	2	no	—
357	C₂×C₄	—	86	2	no	—
358	C₂×C₄	—	86	1	no	—
359	C₂×C₄	—	86	1	no	—
360	C₂×C₄	—	344	4	no	—
361	C₂×C₄	—	172	2	no	—
362	C₂×C₄	—	172	2	no	—
363	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
364	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
365	C₈	—	2	1	no	—
366	C₈	—	43	2	no	—
367	C₈	—	86	1	no	—
368	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
369	C₈	#41×D₄₃	1	1	yes	characteristic
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	—	8	2	no	—
375	C₂²	—	43	2	no	—
376	C₂²	—	43	2	no	—
377	C₂²	—	86	8	no	—
378	C₂²	—	86	1	no	—
379	C₂²	—	86	1	no	—
380	C₂²	—	86	1	no	—
381	C₂²	—	86	1	no	—
382	C₂²	#14583328	1	2	yes	complemented
383	C₂²	C₂×D₈×D₄₃	1	1	yes	characteristic
384	C₄	—	2	1	no	—
385	C₄	—	8	2	no	—
386	C₄	—	43	2	no	—
387	C₄	—	86	1	no	—
388	C₄	—	344	2	no	—
389	C₄	—	344	2	no	—
390	C₄	#121×D₄₃	1	1	yes	characteristic
391	C₄	#135×D₄₃	1	1	yes	characteristic
392	C₂	—	2	2	no	—
393	C₂	—	16	2	no	—
394	C₂	—	86	2	no	—
395	C₂	—	86	2	no	—
396	C₂	#466×D₄₃	1	1	yes	characteristic
397	C₂	#508×D₄₃	1	1	yes	characteristic
398	C₂	C₂×#14583328	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₈×D₄₃
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2215	C₂
socle	C₂²×C₄₃	C₂²×D₈
hypercenter	#2215	D₄₃
hypocenter	C₄₃	#33600
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ #2215

Complements

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

N	H ≅ G/N	type
1. C₂×#14583328	C₂	semidirect
2. C₂²×C₁₆×D₄₃	C₂	semidirect
3. #19144174	C₂	semidirect
4. #19136690	C₂	semidirect
5. #19136689	C₂	semidirect
6. #19136687	C₂	semidirect
7. #19136686	C₂	semidirect
8. #19136678	C₂	semidirect
9. #19136376	C₂	semidirect
10. #19136299	C₂	semidirect
11. C₄₃×#2215	C₂	semidirect
16. C₂×Dic₃₄₄	C₂²	semidirect
17. C₂×#13063269	C₂²	semidirect
31. #14582726	C₂²	semidirect
32. #14582725	C₂²	semidirect
33. #14582704	C₂²	semidirect
34. #14582702	C₂²	semidirect
35. #14582700	C₂²	semidirect
36. C₂×D₁₆×C₄₃	C₂²	semidirect
39. C₄₃×#366	C₂²	semidirect
40. C₄₃×#357	C₂²	semidirect
70. C₁₆×D₄₃	D₄	semidirect
176. C₂²×C₄₃	#508	semidirect
184. C₂×D₄₃	#508	semidirect
201. #2215	D₄₃	semidirect
217. C₂×D₁₆	C₂×D₄₃	semidirect
235. #366	C₂×D₄₃	semidirect
239. #357	C₂×D₄₃	semidirect
240. C₄₃	#33600	semidirect
382. C₂²	#14583328	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583328	2
C₂²×C₁₆×D₄₃	2
#19144174	2
#19136690	2
#19136689	2
#19136687	2
#19136686	2
#19136678	2
#19136376	2
#19136299	2
C₄₃×#2215	2
#33600	43