Subgroups — #25196889

Order 11008.

658 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142982	C₂	1	1	yes	maximal, characteristic
2	C₄×#13063325	C₂	1	1	yes	maximal, characteristic
3	#19136093	C₂	1	2	yes	maximal
4	#19136083	C₂	1	2	yes	maximal
5	#19135568	C₂	1	1	yes	maximal, characteristic
6	#19135568	C₂	1	1	yes	maximal, characteristic
7	#19135188	C₂	1	2	yes	maximal
8	#19135174	C₂	1	2	yes	maximal
9	#19134763	C₂	1	1	yes	maximal, characteristic
10	#19134729	C₂	1	1	yes	maximal, characteristic
11	C₄₃×#1767	C₂	1	1	yes	maximal, characteristic
12	C₂×#13063325	C₂²	1	1	yes	characteristic
13	C₂×C₄×Dic₈₆	—	2	1	no	—
14	C₂×#13063259	C₂²	1	2	yes	—
15	C₂×#13063257	C₂²	1	2	yes	—
16	#14582805	—	2	1	no	—
17	#14582797	—	2	1	no	—
18	#14582797	C₂²	1	1	yes	characteristic
19	#14582797	C₂²	1	1	yes	characteristic
20	#14582797	C₂²	1	1	yes	characteristic
21	#14582797	C₂²	1	1	yes	characteristic
22	#14582797	C₂²	1	2	yes	—
23	#14582783	—	2	1	no	—
24	#14582783	—	2	1	no	—
25	#14582783	—	2	1	no	—
26	#14582783	—	2	1	no	—
27	#14582769	C₂²	1	1	yes	characteristic
28	#14582765	C₂²	1	1	yes	characteristic
29	#14582765	C₂²	1	1	yes	characteristic
30	C₄×C₄⋊Dic₄₃	—	2	1	no	—
31	C₄×C₄⋊Dic₄₃	C₂²	1	2	yes	—
32	#14582662	C₂²	1	2	yes	—
33	#14582662	C₂²	1	2	yes	—
34	#14582662	C₂²	1	2	yes	—
35	#14582662	C₂²	1	2	yes	—
36	#14582662	C₂²	1	2	yes	—
37	#14582662	C₂²	1	2	yes	—
38	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
39	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
40	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
41	C₄³×C₄₃	C₂²	1	1	yes	characteristic
42	C₄₃×#336	C₂²	1	2	yes	—
43	C₂²×Dic₈₆	—	2	1	no	—
44	#13063325	—	2	2	no	—
45	#13063325	Q₈	1	4	yes	—
46	C₄×Dic₈₆	—	4	4	no	—
47	C₂×C₄⋊Dic₄₃	—	2	1	no	—
48	C₂×C₄⋊Dic₄₃	—	2	1	no	—
49	C₂×C₄⋊Dic₄₃	—	2	1	no	—
50	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
51	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
52	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
53	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
54	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
55	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
56	C₂×Dic₄₃⋊C₄	—	2	2	no	—
57	C₂×Dic₄₃⋊C₄	—	2	1	no	—
58	C₂×Dic₄₃⋊C₄	—	2	1	no	—
59	C₂×Dic₄₃⋊C₄	—	2	1	no	—
60	C₂×Dic₄₃⋊C₄	—	2	1	no	—
61	C₂×C₄×Dic₄₃	—	2	2	no	—
62	#13063259	—	2	4	no	—
63	#13063257	—	2	4	no	—
64	C₄₃⋊#95	—	2	2	no	—
65	C₄₃⋊#95	—	2	2	no	—
66	C₄₃⋊#95	—	2	1	no	—
67	C₄₃⋊#95	—	2	1	no	—
68	C₄₃⋊#95	—	2	1	no	—
69	C₄₃⋊#95	—	2	1	no	—
70	C₄₃⋊#95	—	2	1	no	—
71	C₄₃⋊#95	—	2	1	no	—
72	C₄₃⋊#95	—	2	1	no	—
73	C₄₃⋊#95	—	2	1	no	—
74	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
75	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
76	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
77	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
78	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
79	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
80	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
81	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
82	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
83	C₄⋊C₈×C₄₃	—	2	4	no	—
84	#97×C₄₃	—	2	2	no	—
85	#97×C₄₃	—	2	2	no	—
86	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
93	C₂²×Dic₄₃	—	2	2	no	—
94	C₂²×Dic₄₃	—	2	1	no	—
95	C₂²×Dic₄₃	—	2	1	no	—
96	C₂²×Dic₄₃	—	2	1	no	—
97	C₂²×Dic₄₃	—	2	1	no	—
98	C₂²×Dic₄₃	—	2	2	no	—
99	C₂×Dic₈₆	—	2	4	no	—
100	C₂×Dic₈₆	—	4	2	no	—
101	C₂×Dic₈₆	—	4	2	no	—
102	C₂×C₈×C₄₃	—	2	2	no	—
103	C₂×C₈×C₄₃	—	2	2	no	—
104	C₂×C₈×C₄₃	—	2	2	no	—
105	C₂×C₈×C₄₃	—	2	2	no	—
106	C₂×C₈×C₄₃	—	2	2	no	—
107	C₂×C₈×C₄₃	#41	1	4	yes	—
108	C₄²×C₄₃	—	2	2	no	—
109	C₄²×C₄₃	—	2	2	no	—
110	C₄²×C₄₃	—	2	2	no	—
111	C₄²×C₄₃	—	2	2	no	—
112	C₄²×C₄₃	—	4	1	no	—
113	C₄²×C₄₃	—	4	1	no	—
114	C₄²×C₄₃	C₂×Q₈	1	2	yes	—
115	C₄²×C₄₃	#41	1	2	yes	—
116	C₄⋊Dic₄₃	—	2	4	no	—
117	C₄⋊Dic₄₃	—	2	2	no	—
118	C₄⋊Dic₄₃	—	2	2	no	—
119	C₄⋊Dic₄₃	—	2	2	no	—
120	C₄⋊Dic₄₃	—	2	2	no	—
121	C₄⋊Dic₄₃	—	2	2	no	—
122	C₄⋊Dic₄₃	—	2	2	no	—
123	C₄⋊Dic₄₃	—	2	2	no	—
124	C₄⋊Dic₄₃	—	4	2	no	—
125	C₄⋊Dic₄₃	—	4	2	no	—
126	C₄⋊Dic₄₃	C₂×Q₈	1	4	yes	—
127	Dic₄₃⋊C₄	—	4	2	no	—
128	Dic₄₃⋊C₄	—	4	2	no	—
129	Dic₄₃⋊C₄	—	4	2	no	—
130	Dic₄₃⋊C₄	—	4	4	no	—
131	Dic₄₃⋊C₄	—	4	2	no	—
132	C₄×Dic₄₃	—	4	4	no	—
133	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
134	C₂×C₄×C₄₃	—	2	1	no	—
135	C₂×C₄×C₄₃	—	2	1	no	—
136	C₂×C₄×C₄₃	—	2	1	no	—
137	C₂×C₄×C₄₃	—	2	1	no	—
138	C₂×C₄×C₄₃	—	2	1	no	—
139	C₂×C₄×C₄₃	—	2	1	no	—
140	C₂×C₄×C₄₃	—	2	1	no	—
141	C₂×C₄×C₄₃	—	2	1	no	—
142	C₂×C₄×C₄₃	—	2	1	no	—
143	C₂×C₄×C₄₃	—	2	1	no	—
144	C₂×C₄×C₄₃	—	2	1	no	—
145	C₂×C₄×C₄₃	—	2	1	no	—
146	C₂×C₄×C₄₃	—	2	1	no	—
147	C₂×C₄×C₄₃	—	2	1	no	—
148	C₂×C₄×C₄₃	C₂²⋊Q₈	1	2	yes	—
149	C₂×C₄×C₄₃	C₂²⋊Q₈	1	2	yes	—
150	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
151	C₂×C₄×C₄₃	#137	1	2	yes	—
152	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
154	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
155	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
156	C₂×Dic₄₃	—	2	4	no	—
157	C₂×Dic₄₃	—	4	2	no	—
158	C₂×Dic₄₃	—	4	2	no	—
159	C₂×Dic₄₃	—	4	1	no	—
160	C₂×Dic₄₃	—	4	2	no	—
161	C₂×Dic₄₃	—	4	1	no	—
162	C₂×Dic₄₃	—	4	1	no	—
163	C₂×Dic₄₃	—	4	1	no	—
164	C₂×Dic₄₃	—	4	2	no	—
165	C₂×Dic₄₃	—	4	1	no	—
166	C₂×Dic₄₃	—	4	1	no	—
167	C₂×Dic₄₃	—	4	1	no	—
168	C₂×Dic₄₃	—	4	1	no	—
169	C₂×Dic₄₃	—	4	1	no	—
170	C₂×Dic₄₃	—	4	1	no	—
171	C₂×Dic₄₃	—	4	1	no	—
172	C₂×Dic₄₃	—	4	1	no	—
173	C₂×Dic₄₃	—	4	2	no	—
174	Dic₈₆	—	4	8	no	—
175	C₈×C₄₃	—	2	4	no	—
176	C₈×C₄₃	—	4	2	no	—
177	#29181	—	43	1	no	maximal, Sylow
178	C₂²×C₄₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
179	C₂²×C₄₃	#532	1	1	yes	characteristic
180	C₂²×C₄₃	#536	1	1	yes	characteristic
181	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
182	C₂²×C₄₃	C₂×#137	1	1	yes	characteristic
183	C₂²×C₄₃	#575	1	1	yes	characteristic
184	C₂²×C₄₃	#575	1	1	yes	characteristic
185	C₄×C₄₃	—	2	2	no	—
186	C₄×C₄₃	—	2	2	no	—
187	C₄×C₄₃	—	2	2	no	—
188	C₄×C₄₃	—	2	2	no	—
189	C₄×C₄₃	—	4	1	no	—
190	C₄×C₄₃	—	4	1	no	—
191	C₄×C₄₃	#552	1	2	yes	—
192	C₄×C₄₃	#557	1	2	yes	—
193	Dic₄₃	—	4	4	no	—
194	Dic₄₃	—	8	1	no	—
195	Dic₄₃	—	8	2	no	—
196	Dic₄₃	—	8	1	no	—
197	Dic₄₃	—	8	1	no	—
198	Dic₄₃	—	8	1	no	—
199	#2864	—	43	1	no	—
200	C₄×C₄⋊Q₈	—	43	1	no	—
201	#2088	—	43	2	no	—
202	#2086	—	43	2	no	—
203	#1993	—	43	1	no	—
204	#1993	—	43	1	no	—
205	#1921	—	43	2	no	—
206	#1919	—	43	2	no	—
207	#1847	—	43	1	no	—
208	#1836	—	43	1	no	—
209	#1767	D₄₃	1	1	yes	characteristic
210	C₂×C₄₃	#2565	1	1	yes	characteristic
211	C₂×C₄₃	#3077	1	1	yes	characteristic
212	C₂×C₄₃	#3078	1	1	yes	characteristic
213	C₂×C₄₃	#3172	1	1	yes	characteristic
214	C₂×C₄₃	#3180	1	1	yes	characteristic
215	C₂×C₄₃	#3239	1	1	yes	characteristic
216	C₂×C₄₃	#3240	1	1	yes	characteristic
217	C₂×C₄⋊Q₈	—	43	1	no	—
218	C₂×C₄×Q₈	—	86	1	no	—
219	C₂×#107	—	43	2	no	—
220	C₂×#106	—	43	2	no	—
221	C₂×C₄⋊C₈	C₂×D₄₃	1	2	yes	—
222	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
223	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
224	#391	—	86	1	no	—
225	#389	—	43	2	no	—
226	#389	—	43	1	no	—
227	#389	—	43	1	no	—
228	#389	—	43	1	no	—
229	#389	—	43	1	no	—
230	#389	—	86	1	no	—
231	#387	—	86	1	no	—
232	#387	—	86	1	no	—
233	#387	—	86	1	no	—
234	#387	—	86	1	no	—
235	#384	—	43	1	no	—
236	#382	—	43	1	no	—
237	#382	—	43	1	no	—
238	C₄×C₄⋊C₄	—	43	2	no	—
239	C₄×C₄⋊C₄	—	86	1	no	—
240	C₄³	C₂×D₄₃	1	1	yes	characteristic
241	#340	—	43	2	no	—
242	#340	—	43	2	no	—
243	#340	—	43	2	no	—
244	#340	—	43	2	no	—
245	#340	—	43	2	no	—
246	#340	—	43	2	no	—
247	#336	C₂×D₄₃	1	2	yes	—
248	C₄₃	#29181	1	1	yes	characteristic, complemented, Sylow
249	C₂²×Q₈	—	86	1	no	—
250	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
251	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
252	C₄⋊Q₈	—	43	4	no	—
253	C₄⋊Q₈	—	86	2	no	—
254	C₄×Q₈	—	172	4	no	—
255	C₂×C₄⋊C₄	—	43	2	no	—
256	C₂×C₄⋊C₄	—	43	1	no	—
257	C₂×C₄⋊C₄	—	43	1	no	—
258	C₂×C₄⋊C₄	—	43	2	no	—
259	C₂×C₄⋊C₄	—	43	1	no	—
260	C₂×C₄⋊C₄	—	43	1	no	—
261	C₂×C₄⋊C₄	—	86	1	no	—
262	C₂×C₄⋊C₄	—	86	2	no	—
263	C₂×C₄⋊C₄	—	86	1	no	—
264	C₂×C₄⋊C₄	—	86	1	no	—
265	C₂×C₄⋊C₄	—	86	1	no	—
266	C₂×C₄⋊C₄	—	86	1	no	—
267	C₂×C₄⋊C₄	—	86	1	no	—
268	C₂×C₄⋊C₄	—	86	1	no	—
269	C₂×C₄²	—	86	2	no	—
270	C₂×C₄²	D₁₇₂	1	1	yes	characteristic
271	C₂×C₄²	D₁₇₂	1	1	yes	characteristic
272	C₂×C₄²	D₁₇₂	1	1	yes	characteristic
273	C₂×C₄²	D₁₇₂	1	1	yes	characteristic
274	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
275	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
276	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
277	#107	—	86	4	no	—
278	#106	—	86	4	no	—
279	C₄⋊C₈	—	2	4	no	—
280	#97	—	2	2	no	—
281	#97	—	2	2	no	—
282	#95	—	86	2	no	—
283	#95	—	86	2	no	—
284	#95	—	86	1	no	—
285	#95	—	86	1	no	—
286	#95	—	86	1	no	—
287	#95	—	86	1	no	—
288	#95	—	86	1	no	—
289	#95	—	86	1	no	—
290	#95	—	86	1	no	—
291	#95	—	86	1	no	—
292	C₂×Q₈	—	86	4	no	—
293	C₂×Q₈	—	172	2	no	—
294	C₂×Q₈	—	172	2	no	—
295	C₂²×C₄	—	86	2	no	—
296	C₂²×C₄	—	86	1	no	—
297	C₂²×C₄	—	86	1	no	—
298	C₂²×C₄	—	86	1	no	—
299	C₂²×C₄	—	86	1	no	—
300	C₂²×C₄	—	86	2	no	—
301	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
302	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
303	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
304	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
305	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
306	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
307	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	#10621898	1	4	yes	—
314	C₄⋊C₄	—	43	4	no	—
315	C₄⋊C₄	—	86	4	no	—
316	C₄⋊C₄	—	86	2	no	—
317	C₄⋊C₄	—	86	2	no	—
318	C₄⋊C₄	—	86	2	no	—
319	C₄⋊C₄	—	86	2	no	—
320	C₄⋊C₄	—	86	2	no	—
321	C₄⋊C₄	—	86	2	no	—
322	C₄⋊C₄	—	86	2	no	—
323	C₄⋊C₄	—	172	2	no	—
324	C₄⋊C₄	—	172	2	no	—
325	C₄⋊C₄	—	172	2	no	—
326	C₄⋊C₄	—	172	2	no	—
327	C₄⋊C₄	—	172	4	no	—
328	C₄⋊C₄	—	172	2	no	—
329	C₄⋊C₄	—	172	2	no	—
330	C₄²	—	2	2	no	—
331	C₄²	—	2	2	no	—
332	C₄²	—	2	2	no	—
333	C₄²	—	2	2	no	—
334	C₄²	—	4	1	no	—
335	C₄²	—	4	1	no	—
336	C₄²	—	172	4	no	—
337	C₄²	#10621900	1	2	yes	—
338	C₄²	Q₈×D₄₃	1	2	yes	—
339	C₂³	C₂²×D₁₇₂	1	1	yes	characteristic
340	Q₈	—	172	8	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	86	4	no	—
356	C₂×C₄	—	172	2	no	—
357	C₂×C₄	—	172	1	no	—
358	C₂×C₄	—	172	1	no	—
359	C₂×C₄	—	172	1	no	—
360	C₂×C₄	—	172	1	no	—
361	C₂×C₄	—	172	1	no	—
362	C₂×C₄	—	172	2	no	—
363	C₂×C₄	—	172	1	no	—
364	C₂×C₄	—	172	1	no	—
365	C₂×C₄	—	172	1	no	—
366	C₂×C₄	—	172	2	no	—
367	C₂×C₄	—	172	1	no	—
368	C₂×C₄	—	172	1	no	—
369	C₂×C₄	—	172	1	no	—
370	C₂×C₄	—	172	1	no	—
371	C₂×C₄	—	172	2	no	—
372	C₂×C₄	—	172	2	no	—
373	C₂×C₄	#13063305	1	2	yes	—
374	C₂×C₄	#13063305	1	2	yes	—
375	C₂×C₄	#13063353	1	2	yes	—
376	C₂×C₄	#13063358	1	2	yes	—
377	C₂×C₄	C₂×Q₈×D₄₃	1	1	yes	characteristic
378	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
379	C₂×C₄	C₂×#10621898	1	2	yes	—
380	C₂×C₄	#13063372	1	2	yes	—
381	C₈	—	2	4	no	—
382	C₈	—	4	2	no	—
383	C₂²	C₂×#13063305	1	1	yes	characteristic
384	C₂²	#14583449	1	1	yes	characteristic
385	C₂²	#14583475	1	1	yes	characteristic
386	C₂²	C₂×#13063353	1	1	yes	characteristic
387	C₂²	C₂×#13063358	1	1	yes	characteristic
388	C₂²	#14583699	1	1	yes	characteristic
389	C₂²	#14583699	1	1	yes	characteristic
390	C₄	—	2	2	no	—
391	C₄	—	2	2	no	—
392	C₄	—	2	2	no	—
393	C₄	—	2	2	no	—
394	C₄	—	4	1	no	—
395	C₄	—	4	1	no	—
396	C₄	—	344	2	no	—
397	C₄	—	344	1	no	—
398	C₄	—	344	1	no	—
399	C₄	—	344	1	no	—
400	C₄	—	344	1	no	—
401	C₄	—	172	4	no	—
402	C₄	#14583589	1	2	yes	—
403	C₄	#14583627	1	2	yes	—
404	C₂	#19139786	1	1	yes	characteristic
405	C₂	#19144394	1	1	yes	characteristic
406	C₂	#19144402	1	1	yes	characteristic
407	C₂	#19145201	1	1	yes	characteristic
408	C₂	#19145293	1	1	yes	characteristic
409	C₂	#19145827	1	1	yes	characteristic
410	C₂	#19145837	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂²×D₁₇₂
commutator, cosocle	C₂²×C₄×C₄₃	C₂⁴
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1767	C₂
socle, prime radical	C₂³×C₄₃	C₂²×D₄
hypercenter	#1767	D₄₃
hypocenter	C₄₃	#29181
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₄³ ◁ #1767

Complements

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

N	H ≅ G/N	type
248. C₄₃	#29181	semidirect

Maximal subgroups

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

subgroup	index
#19142982	2
C₄×#13063325	2
#19136093	2
#19136083	2
#19135568	2
#19135188	2
#19135174	2
#19134763	2
#19134729	2
C₄₃×#1767	2
#29181	43