Subgroups — #25080545

Order 11008.

608 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145106	C₂	1	1	yes	maximal, characteristic, complemented
2	#19144760	C₂	1	2	yes	maximal
3	C₈×#10621902	C₂	1	1	yes	maximal, characteristic
4	#19133991	C₂	1	1	yes	maximal, characteristic, complemented
5	#19133989	C₂	1	1	yes	maximal, characteristic, complemented
6	#19133985	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133979	C₂	1	2	yes	maximal, complemented
8	#19133973	C₂	1	2	yes	maximal, complemented
9	#19133357	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133304	C₂	1	2	yes	maximal, complemented
11	C₄₃×#1676	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583454	C₂²	1	2	yes	—
13	C₄×#10621902	C₂²	1	1	yes	characteristic
14	#14583304	C₂²	1	1	yes	characteristic
15	#14583300	—	2	1	no	—
16	#14583300	—	2	1	no	—
17	#14583295	C₂²	1	2	yes	—
18	#14583242	—	2	2	no	—
19	#14583186	C₂²	1	2	yes	—
20	#14583109	C₂²	1	2	yes	—
21	#14583105	C₂²	1	2	yes	—
22	#14583064	—	2	2	no	—
23	Q₈×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
24	#14583003	—	2	2	no	—
25	#14582998	—	2	2	no	—
26	C₈×D₁₇₂	—	2	1	no	—
27	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
28	#14582964	—	2	1	no	—
29	#14582964	C₂²	1	1	yes	characteristic
30	#14582955	C₂²	1	2	yes	—
31	#14582951	—	2	1	no	—
32	#14582951	C₂²	1	1	yes	characteristic
33	#14582936	—	2	1	no	—
34	#14582936	—	2	1	no	—
35	C₄×C₈×D₄₃	—	2	1	no	—
36	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
37	#14582652	C₂²	1	1	yes	characteristic
38	#14582649	C₂²	1	2	yes	—
39	#14582648	C₂²	1	2	yes	—
40	#14582646	C₂²	1	2	yes	—
41	#14582644	C₂²	1	2	yes	—
42	C₄₃×#500	C₂²	1	1	yes	characteristic
43	C₄₃×#477	C₂²	1	2	yes	—
44	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
45	C₄₃×#335	C₂²	1	1	yes	characteristic
46	C₄₃×#333	C₂²	1	2	yes	—
47	C₂×#10621902	D₄	1	1	yes	characteristic
48	C₂×#10621885	—	2	2	no	—
49	C₂×#10621873	—	2	2	no	—
50	C₂×C₈×D₄₃	—	2	1	no	—
51	C₂×C₈×D₄₃	—	2	1	no	—
52	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
53	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
54	#13063325	C₂³	1	2	yes	—
55	#13063316	—	2	2	no	—
56	#13063305	—	2	2	no	—
57	#13063301	—	2	2	no	—
58	Q₈×Dic₄₃	—	2	2	no	—
59	Q₈×Dic₄₃	D₄	1	1	yes	characteristic
60	#13063290	—	2	2	no	—
61	C₄×D₁₇₂	—	2	1	no	—
62	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
63	#13063287	—	2	1	no	—
64	#13063287	D₄	1	1	yes	characteristic
65	#13063283	—	2	1	no	—
66	#13063283	—	2	2	no	—
67	#13063283	D₄	1	1	yes	characteristic
68	C₄²×D₄₃	—	2	1	no	—
69	C₄²×D₄₃	C₂³	1	1	yes	characteristic
70	#13063259	—	2	1	no	—
71	#13063259	—	2	1	no	—
72	#13063256	—	2	2	no	—
73	#13063256	—	2	2	no	—
74	#13063256	—	2	2	no	—
75	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
76	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
77	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
78	#13063250	—	2	2	no	—
79	#13063248	—	2	2	no	—
80	#13063245	—	2	2	no	—
81	(C₂×D₄₃)⋊C₈	—	2	2	no	—
82	(C₂×D₄₃)⋊C₈	—	2	1	no	—
83	(C₂×D₄₃)⋊C₈	—	2	1	no	—
84	(C₂×D₄₃)⋊C₈	—	2	1	no	—
85	#13063235	—	2	2	no	—
86	C₄×C₄₃⋊C₈	—	2	1	no	—
87	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
88	C₈×Dic₄₃	—	2	1	no	—
89	C₈×Dic₄₃	D₄	1	1	yes	characteristic
90	C₈×Dic₄₃	D₄	1	1	yes	characteristic
91	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
92	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
93	#107×C₄₃	—	2	1	no	—
94	#107×C₄₃	—	2	1	no	—
95	#107×C₄₃	—	2	2	no	—
96	C₄⋊C₈×C₄₃	—	2	1	no	—
97	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
98	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
99	#103×C₄₃	—	2	2	no	—
100	C₄×C₈×C₄₃	—	2	1	no	—
101	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
102	C₂×Q₈×C₄₃	—	2	2	no	—
103	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
104	#10621902	—	2	2	no	—
105	#10621902	—	2	2	no	—
106	C₂×D₁₇₂	—	2	1	no	—
107	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
108	C₂×C₄×D₄₃	—	2	1	no	—
109	C₂×C₄×D₄₃	—	2	1	no	—
110	C₂×C₄×D₄₃	—	2	1	no	—
111	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
112	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
113	C₂×C₄×D₄₃	#41	1	1	yes	characteristic
114	C₂×Dic₈₆	—	2	2	no	—
115	C₂×C₈×C₄₃	—	2	1	no	—
116	C₂×C₈×C₄₃	—	2	2	no	—
117	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₄⋊C₄×C₄₃	—	2	1	no	—
120	C₄⋊C₄×C₄₃	—	2	2	no	—
121	C₄⋊C₄×C₄₃	—	2	2	no	—
122	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₄₃	—	2	1	no	—
124	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
125	#10621885	—	4	4	no	—
126	(C₂×D₄₃)⋊C₄	—	2	1	no	—
127	(C₂×D₄₃)⋊C₄	—	2	1	no	—
128	(C₂×D₄₃)⋊C₄	—	2	1	no	—
129	(C₂×D₄₃)⋊C₄	—	4	2	no	—
130	C₄⋊Dic₄₃	—	2	1	no	—
131	C₄⋊Dic₄₃	—	2	2	no	—
132	C₄⋊Dic₄₃	—	2	2	no	—
133	C₄⋊Dic₄₃	—	4	2	no	—
134	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
135	Dic₄₃⋊C₄	—	4	2	no	—
136	C₄×Dic₄₃	—	2	1	no	—
137	C₄×Dic₄₃	—	2	1	no	—
138	C₄×Dic₄₃	—	4	2	no	—
139	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
140	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
141	C₄×Dic₄₃	#41	1	1	yes	characteristic
142	C₂×C₄₃⋊C₈	—	2	1	no	—
143	C₂×C₄₃⋊C₈	—	2	2	no	—
144	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
145	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
146	#10621873	—	4	4	no	—
147	C₈×D₄₃	—	2	2	no	—
148	C₈×D₄₃	—	2	2	no	—
149	C₈×D₄₃	—	4	2	no	—
150	C₈×D₄₃	—	4	2	no	—
151	C₂²×D₄₃	—	2	1	no	—
152	C₂²×D₄₃	#121	1	1	yes	characteristic
153	Q₈×C₄₃	—	2	1	no	—
154	Q₈×C₄₃	—	8	2	no	—
155	Q₈×C₄₃	#135	1	2	yes	—
156	C₂×C₄×C₄₃	—	2	1	no	—
157	C₂×C₄×C₄₃	—	2	1	no	—
158	C₂×C₄×C₄₃	—	4	2	no	—
159	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
162	C₂×Dic₄₃	—	2	1	no	—
163	C₂×Dic₄₃	—	4	2	no	—
164	C₂×Dic₄₃	#121	1	1	yes	characteristic
165	C₂×Dic₄₃	#121	1	1	yes	characteristic
166	C₂×Dic₄₃	#121	1	1	yes	characteristic
167	D₁₇₂	—	2	4	no	—
168	D₁₇₂	—	2	1	no	—
169	D₁₇₂	#135	1	2	yes	—
170	C₄×D₄₃	—	2	4	no	—
171	C₄×D₄₃	—	2	1	no	—
172	C₄×D₄₃	—	2	1	no	—
173	C₄×D₄₃	—	2	1	no	—
174	C₄×D₄₃	—	2	1	no	—
175	C₄×D₄₃	—	4	1	no	—
176	C₄×D₄₃	—	4	2	no	—
177	C₄×D₄₃	—	4	1	no	—
178	C₄×D₄₃	—	4	1	no	—
179	Dic₈₆	—	4	2	no	—
180	Dic₈₆	—	4	2	no	—
181	C₈×C₄₃	—	2	1	no	—
182	C₈×C₄₃	—	4	2	no	—
183	C₈×C₄₃	—	4	1	no	—
184	C₈×C₄₃	#137	1	2	yes	—
185	C₄₃⋊C₈	—	2	1	no	—
186	C₄₃⋊C₈	—	4	2	no	—
187	C₄₃⋊C₈	—	4	1	no	—
188	C₄₃⋊C₈	#137	1	2	yes	—
189	#19273	—	43	1	no	maximal, Sylow
190	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
191	C₂×D₄₃	—	2	1	no	—
192	C₂×D₄₃	—	2	2	no	—
193	C₂×D₄₃	—	2	1	no	—
194	C₂×D₄₃	—	2	1	no	—
195	C₂×D₄₃	—	4	1	no	—
196	C₂×D₄₃	—	4	1	no	—
197	C₄×C₄₃	—	2	2	no	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	4	1	no	—
200	C₄×C₄₃	—	8	2	no	—
201	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
202	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
203	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
204	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
205	Dic₄₃	—	2	1	no	—
206	Dic₄₃	—	2	1	no	—
207	Dic₄₃	—	2	1	no	—
208	Dic₄₃	—	4	1	no	—
209	Dic₄₃	—	8	2	no	—
210	#3160	—	43	1	no	—
211	#3116	—	43	2	no	—
212	C₈×#41	—	43	1	no	—
213	#1676	D₄₃	1	1	yes	characteristic, complemented
214	#1675	—	43	1	no	—
215	#1674	—	43	1	no	—
216	#1673	—	43	1	no	—
217	#1672	—	43	2	no	—
218	#1671	—	43	2	no	—
219	#1568	—	43	1	no	—
220	#1554	—	43	2	no	—
221	C₂×C₄₃	#3039	1	1	yes	characteristic
222	C₂×C₄₃	#3050	1	1	yes	characteristic
223	C₂×C₄₃	#3067	1	1	yes	characteristic
224	D₄₃	—	4	1	no	—
225	D₄₃	—	4	2	no	—
226	#533	—	43	2	no	—
227	C₄×#41	—	43	1	no	—
228	#500	—	43	1	no	—
229	#500	C₂×D₄₃	1	1	yes	characteristic
230	#499	—	86	1	no	—
231	#499	—	86	1	no	—
232	#498	—	43	2	no	—
233	#485	—	86	2	no	—
234	#477	C₂×D₄₃	1	2	yes	—
235	#476	—	43	2	no	—
236	#462	—	43	2	no	—
237	#461	—	43	2	no	—
238	#452	—	86	2	no	—
239	C₈×Q₈	—	43	1	no	—
240	C₈×Q₈	C₂×D₄₃	1	1	yes	characteristic
241	#441	—	86	2	no	—
242	#440	—	86	2	no	—
243	C₈×D₄	—	43	1	no	—
244	C₈×D₄	—	43	1	no	—
245	C₈×D₄	—	86	1	no	—
246	C₈×D₄	—	86	1	no	—
247	#432	—	43	2	no	—
248	#431	—	43	1	no	—
249	#431	—	86	1	no	—
250	#427	—	86	1	no	—
251	#427	—	86	1	no	—
252	C₂×C₄×C₈	—	43	1	no	—
253	C₂×C₄×C₈	—	86	1	no	—
254	#335	—	43	1	no	—
255	#335	C₂×D₄₃	1	1	yes	characteristic
256	#334	—	43	2	no	—
257	#333	—	43	2	no	—
258	#333	C₂×D₄₃	1	2	yes	—
259	#332	—	43	2	no	—
260	#332	—	43	2	no	—
261	C₄₃	#19273	1	1	yes	characteristic, complemented, Sylow
262	C₂×#41	—	43	1	no	—
263	C₂×Q₁₆	—	86	2	no	—
264	C₂×SD₁₆	—	86	2	no	—
265	C₂²×C₈	—	43	1	no	—
266	C₂²×C₈	—	43	1	no	—
267	C₂²×C₈	—	86	1	no	—
268	C₂²×C₈	—	86	1	no	—
269	C₄⋊Q₈	—	43	2	no	—
270	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
271	#125	—	86	2	no	—
272	C₂²⋊Q₈	—	86	2	no	—
273	C₂²⋊Q₈	—	86	2	no	—
274	C₄×Q₈	—	43	1	no	—
275	C₄×Q₈	—	86	2	no	—
276	C₄×Q₈	—	86	2	no	—
277	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
278	C₄×D₄	—	43	1	no	—
279	C₄×D₄	—	43	1	no	—
280	C₄×D₄	—	86	1	no	—
281	C₄×D₄	—	86	1	no	—
282	#117	—	43	1	no	—
283	#117	—	86	1	no	—
284	#117	—	86	2	no	—
285	C₂×C₄²	—	43	1	no	—
286	C₂×C₄²	—	86	1	no	—
287	#107	—	2	1	no	—
288	#107	—	2	1	no	—
289	#107	—	2	2	no	—
290	#107	—	86	1	no	—
291	#107	—	86	1	no	—
292	#106	—	86	2	no	—
293	#106	—	86	2	no	—
294	#106	—	86	2	no	—
295	C₄⋊C₈	—	2	1	no	—
296	C₄⋊C₈	—	43	1	no	—
297	C₄⋊C₈	—	43	2	no	—
298	C₄⋊C₈	—	86	1	no	—
299	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
300	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
301	#103	—	2	2	no	—
302	#103	—	86	2	no	—
303	#103	—	86	2	no	—
304	#102	—	86	2	no	—
305	C₂²⋊C₈	—	86	1	no	—
306	C₂²⋊C₈	—	86	1	no	—
307	C₂²⋊C₈	—	86	2	no	—
308	C₂²⋊C₈	—	86	1	no	—
309	#97	—	86	2	no	—
310	C₄×C₈	—	2	1	no	—
311	C₄×C₈	—	43	1	no	—
312	C₄×C₈	—	43	1	no	—
313	C₄×C₈	—	43	1	no	—
314	C₄×C₈	—	86	1	no	—
315	C₄×C₈	—	86	1	no	—
316	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
317	#41	—	86	2	no	—
318	#41	—	86	2	no	—
319	C₂×Q₈	—	2	2	no	—
320	C₂×Q₈	—	86	2	no	—
321	C₂×Q₈	D₄×D₄₃	1	1	yes	characteristic
322	C₂×D₄	—	43	1	no	—
323	C₂×D₄	—	86	1	no	—
324	C₂²×C₄	—	43	1	no	—
325	C₂²×C₄	—	43	1	no	—
326	C₂²×C₄	—	43	1	no	—
327	C₂²×C₄	—	86	1	no	—
328	C₂²×C₄	—	86	1	no	—
329	C₂²×C₄	—	86	1	no	—
330	Q₁₆	—	172	4	no	—
331	SD₁₆	—	172	4	no	—
332	C₂×C₈	—	2	1	no	—
333	C₂×C₈	—	2	2	no	—
334	C₂×C₈	—	43	1	no	—
335	C₂×C₈	—	43	1	no	—
336	C₂×C₈	—	86	2	no	—
337	C₂×C₈	—	86	2	no	—
338	C₂×C₈	—	86	1	no	—
339	C₂×C₈	—	86	2	no	—
340	C₂×C₈	—	172	2	no	—
341	C₂×C₈	—	172	2	no	—
342	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
343	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	2	2	no	—
347	C₄⋊C₄	—	43	1	no	—
348	C₄⋊C₄	—	86	1	no	—
349	C₄⋊C₄	—	86	2	no	—
350	C₄⋊C₄	—	86	2	no	—
351	C₄⋊C₄	—	172	2	no	—
352	C₄⋊C₄	—	172	2	no	—
353	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
354	C₂²⋊C₄	—	86	1	no	—
355	C₂²⋊C₄	—	86	1	no	—
356	C₂²⋊C₄	—	86	1	no	—
357	C₂²⋊C₄	—	172	2	no	—
358	C₄²	—	2	1	no	—
359	C₄²	—	43	1	no	—
360	C₄²	—	43	1	no	—
361	C₄²	—	43	1	no	—
362	C₄²	—	86	1	no	—
363	C₄²	—	86	1	no	—
364	C₄²	—	172	2	no	—
365	C₄²	C₂³×D₄₃	1	1	yes	characteristic
366	C₂³	—	43	1	no	—
367	C₂³	—	86	1	no	—
368	Q₈	—	2	1	no	—
369	Q₈	—	8	2	no	—
370	Q₈	—	172	2	no	—
371	Q₈	—	172	2	no	—
372	Q₈	#13063348	1	2	yes	—
373	D₄	—	43	2	no	—
374	D₄	—	86	4	no	—
375	D₄	—	86	1	no	—
376	C₂×C₄	—	2	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	4	2	no	—
379	C₂×C₄	—	43	1	no	—
380	C₂×C₄	—	43	1	no	—
381	C₂×C₄	—	43	1	no	—
382	C₂×C₄	—	86	4	no	—
383	C₂×C₄	—	86	1	no	—
384	C₂×C₄	—	86	1	no	—
385	C₂×C₄	—	86	1	no	—
386	C₂×C₄	—	86	1	no	—
387	C₂×C₄	—	86	1	no	—
388	C₂×C₄	—	172	1	no	—
389	C₂×C₄	—	172	2	no	—
390	C₂×C₄	—	172	2	no	—
391	C₂×C₄	—	172	1	no	—
392	C₂×C₄	—	172	1	no	—
393	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
394	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
395	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
396	C₈	—	2	1	no	—
397	C₈	—	4	2	no	—
398	C₈	—	4	1	no	—
399	C₈	—	43	2	no	—
400	C₈	—	86	1	no	—
401	C₈	—	172	2	no	—
402	C₈	—	172	1	no	—
403	C₈	#13063357	1	2	yes	—
404	C₂²	—	86	1	no	—
405	C₂²	—	86	1	no	—
406	C₂²	—	86	2	no	—
407	C₂²	—	86	1	no	—
408	C₂²	—	172	1	no	—
409	C₂²	—	172	1	no	—
410	C₂²	#121×D₄₃	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	2	2	no	—
413	C₄	—	4	1	no	—
414	C₄	—	8	2	no	—
415	C₄	—	86	1	no	—
416	C₄	—	86	1	no	—
417	C₄	—	86	1	no	—
418	C₄	—	344	2	no	—
419	C₄	—	172	1	no	—
420	C₄	#135×D₄₃	1	1	yes	characteristic
421	C₄	C₂×#13063348	1	1	yes	characteristic
422	C₄	#137×D₄₃	1	1	yes	characteristic
423	C₄	C₂×#13063357	1	1	yes	characteristic
424	C₂	—	172	1	no	—
425	C₂	—	172	2	no	—
426	C₂	#19144079	1	1	yes	characteristic
427	C₂	#19144178	1	1	yes	characteristic
428	C₂	#19144313	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₄₃
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1676	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	C₂×#10621902	D₄
hypercenter	#1676	D₄₃
hypocenter	C₄₃	#19273
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1676

Complements

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

N	H ≅ G/N	type
1. #19145106	C₂	semidirect
4. #19133991	C₂	semidirect
5. #19133989	C₂	semidirect
6. #19133985	C₂	semidirect
7. #19133979	C₂	semidirect
8. #19133973	C₂	semidirect
9. #19133357	C₂	semidirect
10. #19133304	C₂	semidirect
11. C₄₃×#1676	C₂	semidirect
213. #1676	D₄₃	semidirect
261. C₄₃	#19273	semidirect

Maximal subgroups

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

subgroup	index
#19145106	2
#19144760	2
C₈×#10621902	2
#19133991	2
#19133989	2
#19133985	2
#19133979	2
#19133973	2
#19133357	2
#19133304	2
C₄₃×#1676	2
#19273	43