Subgroups — #11755345

Order 960.

524 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×D₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#6765	C₂	1	1	yes	maximal, characteristic, complemented
3	#91840	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#4095	C₂	1	1	yes	maximal, characteristic, complemented
5	#91518	C₂	1	2	yes	maximal, complemented
6	#91517	C₂	1	2	yes	maximal, complemented
7	#91494	C₂	1	2	yes	maximal, complemented
8	#91493	C₂	1	2	yes	maximal, complemented
9	#91322	C₂	1	1	yes	maximal, characteristic, complemented
10	#91298	C₂	1	1	yes	maximal, characteristic, complemented
11	D₃×#681	C₂	1	1	yes	maximal, characteristic, complemented
12	#66156	—	3	1	no	maximal, Hall
13	C₃×C₅×#41	C₂²	1	1	yes	characteristic
14	C₂×Dic₃₀	C₂²	1	1	yes	characteristic, complemented
15	C₅×#239	C₂²	1	1	yes	characteristic, complemented
16	C₅×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
17	C₅×#237	—	2	1	no	—
18	C₅×#237	C₂²	1	1	yes	characteristic, complemented
19	C₅×D₃×D₄	—	2	1	no	—
20	C₅×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
21	C₅×#235	—	2	1	no	—
22	C₅×#235	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₅×D₃	—	2	1	no	—
24	C₂×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
25	C₂×C₃×D₂₀	C₂²	1	1	yes	characteristic, complemented
26	C₂×#1201	—	2	1	no	—
27	C₂×D₅×Dic₃	—	2	1	no	—
28	#6765	—	2	1	no	—
29	#6765	—	2	1	no	—
30	#6765	C₂²	1	2	yes	—
31	#6765	C₂²	1	2	yes	complemented
32	#6718	C₂²	1	2	yes	complemented
33	#6716	C₂²	1	2	yes	complemented
34	#6710	C₂²	1	1	yes	characteristic, complemented
35	C₃×#688	C₂²	1	2	yes	complemented
36	C₃×#686	C₂²	1	2	yes	complemented
37	C₃×#681	C₂²	1	1	yes	characteristic, complemented
38	#6663	C₂²	1	2	yes	complemented
39	#6659	C₂²	1	2	yes	complemented
40	#6655	C₂²	1	2	yes	complemented
41	#6652	C₂²	1	2	yes	complemented
42	#6650	C₂²	1	2	yes	complemented
43	D₃×#168	C₂²	1	2	yes	complemented
44	#5773	—	5	1	no	maximal, Hall
45	C₂×C₅×#41	—	3	1	no	—
46	C₂×#709	—	3	1	no	—
47	#4097	—	3	1	no	—
48	#4097	—	3	1	no	—
49	#4096	—	3	2	no	—
50	#4096	—	3	2	no	—
51	#4095	—	3	1	no	—
52	#4095	D₃	1	1	yes	characteristic, complemented
53	#4088	—	3	2	no	—
54	#4078	—	3	2	no	—
55	C₂×#681	—	3	1	no	—
56	C₂²×C₅×D₃	—	2	1	no	—
57	C₂²×C₅×D₃	D₄	1	1	yes	characteristic
58	C₂²×C₃×D₅	—	2	1	no	—
59	C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
60	C₃×C₅×D₄	—	2	1	no	—
61	C₃×C₅×D₄	C₂³	1	1	yes	characteristic
62	C₂×C₃×C₄×C₅	—	2	1	no	—
63	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
64	C₂×Dic₁₅	—	2	1	no	—
65	Dic₃₀	—	2	1	no	—
66	Dic₃₀	C₂³	1	2	yes	—
67	C₅×#67	—	2	1	no	—
68	C₅×#67	—	2	1	no	—
69	C₅×#67	—	2	1	no	—
70	C₂×C₅×Dic₃	—	2	1	no	—
71	C₂×C₅×Dic₃	D₄	1	1	yes	characteristic
72	C₅×D₁₂	—	2	1	no	—
73	C₅×D₁₂	C₂³	1	1	yes	characteristic
74	C₄×C₅×D₃	—	2	1	no	—
75	C₄×C₅×D₃	—	2	1	no	—
76	C₄×C₅×D₃	—	2	1	no	—
77	C₄×C₅×D₃	D₄	1	1	yes	characteristic
78	C₄×C₅×D₃	D₄	1	1	yes	characteristic
79	C₄×C₅×D₃	C₂³	1	1	yes	characteristic
80	C₄×C₅×D₃	C₂³	1	1	yes	characteristic
81	C₅×Dic₆	—	2	1	no	—
82	C₅×Dic₆	C₂³	1	1	yes	characteristic
83	C₃×D₂₀	—	2	1	no	—
84	C₃×D₂₀	C₂³	1	2	yes	—
85	#1201	—	2	2	no	—
86	#1201	—	2	2	no	—
87	D₅×Dic₃	—	2	2	no	—
88	D₅×Dic₃	—	2	2	no	—
89	C₃⋊#168	C₂³	1	2	yes	—
90	C₃×#168	C₂³	1	2	yes	—
91	D₃×#41	D₅	1	1	yes	characteristic, complemented
92	C₂×#237	—	5	1	no	—
93	C₃×AGL(1,ℤ/8)	—	5	1	no	—
94	#951	—	5	1	no	—
95	#932	—	5	1	no	—
96	#916	—	5	2	no	—
97	#915	—	5	2	no	—
98	#912	—	5	2	no	—
99	#911	—	5	2	no	—
100	#909	—	5	1	no	—
101	D₃×M₁₆	—	5	1	no	—
102	C₅×#41	—	3	1	no	—
103	C₅×#41	—	3	1	no	—
104	C₅×#41	—	3	1	no	—
105	C₅×#41	—	6	1	no	—
106	C₅×#41	—	6	1	no	—
107	C₅×#41	C₂×D₃	1	1	yes	characteristic
108	C₂×C₅×Q₈	—	3	1	no	—
109	C₂×C₅×D₄	—	3	1	no	—
110	C₂×C₅×D₄	—	6	1	no	—
111	C₂²×C₄×C₅	—	3	1	no	—
112	C₂²×C₄×C₅	—	6	1	no	—
113	C₂×C₂²⋊D₅	—	6	1	no	—
114	#709	—	3	2	no	—
115	#709	—	3	2	no	—
116	#709	—	6	1	no	—
117	#709	—	6	1	no	—
118	C₂×D₂₀	C₂×D₃	1	1	yes	characteristic, complemented
119	C₂×C₄×D₅	—	6	1	no	—
120	C₂×Dic₁₀	—	3	1	no	—
121	#689	—	3	2	no	—
122	#689	—	3	2	no	—
123	#688	—	3	2	no	—
124	#688	C₂×D₃	1	2	yes	complemented
125	#687	—	3	2	no	—
126	#687	—	3	2	no	—
127	#686	—	3	2	no	—
128	#686	C₂×D₃	1	2	yes	complemented
129	#681	—	3	1	no	—
130	#681	—	3	2	no	—
131	#681	C₂×D₃	1	1	yes	characteristic, complemented
132	C₂×#168	—	3	2	no	—
133	#575	—	15	1	no	Sylow
134	C₂²×C₃×C₅	—	2	1	no	—
135	C₂²×C₃×C₅	C₂×D₄	1	1	yes	characteristic
136	C₂×C₅×D₃	—	2	1	no	—
137	C₂×C₅×D₃	—	4	1	no	—
138	C₂×C₅×D₃	—	4	2	no	—
139	C₂×C₅×D₃	C₂×D₄	1	1	yes	characteristic
140	C₂×C₅×D₃	C₂×D₄	1	1	yes	characteristic
141	C₂×C₃×D₅	—	2	2	no	—
142	C₂×C₃×D₅	—	4	2	no	—
143	C₃×C₄×C₅	—	2	1	no	—
144	C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
145	C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
146	Dic₁₅	—	2	2	no	—
147	C₅×Dic₃	—	2	1	no	—
148	C₅×Dic₃	C₂×D₄	1	1	yes	characteristic
149	C₅×Dic₃	C₂×D₄	1	1	yes	characteristic
150	C₃×#41	C₂×D₅	1	1	yes	characteristic
151	C₂×C₃×D₄	—	5	1	no	—
152	C₂×#67	—	10	1	no	—
153	C₂²×Dic₃	—	10	1	no	—
154	#239	C₂×D₅	1	1	yes	characteristic, complemented
155	D₃×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
156	#237	—	2	1	no	—
157	#237	—	5	2	no	—
158	#237	—	5	2	no	—
159	#237	—	10	1	no	—
160	#237	—	10	1	no	—
161	#237	C₂×D₅	1	1	yes	characteristic, complemented
162	D₃×D₄	—	2	1	no	—
163	D₃×D₄	C₂×D₅	1	1	yes	characteristic, complemented
164	#235	—	2	1	no	—
165	#235	C₂×D₅	1	1	yes	characteristic
166	C₂×C₄×D₃	—	2	1	no	—
167	C₂×C₄×D₃	C₂×D₅	1	1	yes	characteristic
168	C₂×Dic₆	—	5	1	no	—
169	C₃×SD₁₆	—	5	2	no	—
170	C₃×D₈	—	5	2	no	—
171	C₃×M₁₆	—	5	1	no	—
172	#216	—	5	2	no	—
173	#214	—	5	2	no	—
174	#214	—	5	2	no	—
175	#213	—	5	2	no	—
176	#208	—	5	1	no	—
177	Dic₁₂	—	5	2	no	—
178	#204	—	5	2	no	—
179	ΓL(1,𝔽₂₅)	—	5	2	no	—
180	D₃×C₈	—	5	2	no	—
181	C₂³×C₅	—	3	1	no	—
182	C₂³×C₅	—	6	1	no	—
183	C₂²×D₅	—	2	1	no	—
184	C₅×Q₈	—	3	1	no	—
185	C₅×Q₈	—	6	1	no	—
186	C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
187	C₅×D₄	—	2	1	no	—
188	C₅×D₄	—	3	1	no	—
189	C₅×D₄	—	6	1	no	—
190	C₅×D₄	—	6	1	no	—
191	C₅×D₄	—	6	1	no	—
192	C₅×D₄	—	6	1	no	—
193	C₅×D₄	C₂²×D₃	1	1	yes	characteristic
194	C₂×C₄×C₅	—	2	1	no	—
195	C₂×C₄×C₅	—	3	1	no	—
196	C₂×C₄×C₅	—	3	1	no	—
197	C₂×C₄×C₅	—	3	1	no	—
198	C₂×C₄×C₅	—	3	1	no	—
199	C₂×C₄×C₅	—	3	1	no	—
200	C₂×C₄×C₅	—	6	1	no	—
201	C₂×C₄×C₅	—	6	1	no	—
202	C₂×C₄×C₅	—	6	1	no	—
203	C₂×C₄×C₅	—	6	1	no	—
204	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
205	C₂²⋊D₅	—	6	2	no	—
206	C₂²⋊D₅	—	6	2	no	—
207	C₂×Dic₅	—	6	1	no	—
208	D₂₀	—	2	1	no	—
209	D₂₀	C₂²×D₃	1	2	yes	—
210	C₄×D₅	—	6	2	no	—
211	C₄×D₅	—	6	2	no	—
212	Dic₁₀	—	3	2	no	—
213	Dic₁₀	—	6	1	no	—
214	#168	—	3	2	no	—
215	#168	C₂²×D₃	1	2	yes	—
216	C₂×#41	—	3	1	no	—
217	C₂×#41	—	15	1	no	—
218	#137	—	15	1	no	—
219	#137	—	15	2	no	—
220	#137	—	15	1	no	—
221	AGL(1,ℤ/8)	—	5	1	no	—
222	AGL(1,ℤ/8)	—	15	2	no	—
223	AGL(1,ℤ/8)	—	15	1	no	—
224	#135	—	15	2	no	—
225	#135	—	15	2	no	—
226	C₂×M₁₆	—	15	1	no	—
227	C₂×C₃×C₅	—	2	1	no	—
228	C₂×C₃×C₅	—	4	1	no	—
229	C₂×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
230	C₃×D₅	—	4	2	no	—
231	C₅×D₃	—	2	1	no	—
232	C₅×D₃	—	2	1	no	—
233	C₅×D₃	—	4	1	no	—
234	C₂³×C₃	—	10	1	no	—
235	C₂²×D₃	—	2	1	no	—
236	C₂²×D₃	C₂²⋊D₅	1	1	yes	characteristic
237	C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
238	C₃×D₄	—	2	1	no	—
239	C₃×D₄	—	5	2	no	—
240	C₃×D₄	—	10	1	no	—
241	C₃×D₄	C₂²×D₅	1	1	yes	characteristic
242	C₂×C₃×C₄	—	2	1	no	—
243	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
244	#67	—	2	1	no	—
245	#67	—	2	1	no	—
246	#67	—	2	1	no	—
247	#67	—	10	2	no	—
248	#67	—	10	2	no	—
249	C₂×Dic₃	—	2	1	no	—
250	C₂×Dic₃	—	10	1	no	—
251	C₂×Dic₃	—	10	2	no	—
252	C₂×Dic₃	—	10	2	no	—
253	C₂×Dic₃	C₂²⋊D₅	1	1	yes	characteristic
254	D₁₂	—	2	1	no	—
255	D₁₂	C₂²×D₅	1	1	yes	characteristic
256	C₄×D₃	—	2	1	no	—
257	C₄×D₃	—	2	1	no	—
258	C₄×D₃	—	2	1	no	—
259	C₄×D₃	C₂²⋊D₅	1	1	yes	characteristic
260	C₄×D₃	C₂²⋊D₅	1	1	yes	characteristic
261	C₄×D₃	C₂²×D₅	1	1	yes	characteristic
262	C₄×D₃	C₂²×D₅	1	1	yes	characteristic
263	Dic₆	—	2	1	no	—
264	Dic₆	—	5	2	no	—
265	Dic₆	—	10	1	no	—
266	Dic₆	C₂²×D₅	1	1	yes	characteristic
267	C₃×C₈	—	5	2	no	—
268	C₃⋊C₈	—	5	2	no	—
269	C₂²×C₅	—	2	1	no	—
270	C₂²×C₅	—	3	1	no	—
271	C₂²×C₅	—	3	1	no	—
272	C₂²×C₅	—	6	1	no	—
273	C₂²×C₅	—	12	1	no	—
274	C₂²×C₅	—	12	2	no	—
275	C₂²×C₅	D₃×D₄	1	1	yes	characteristic
276	C₂×D₅	—	2	2	no	—
277	C₂×D₅	—	4	2	no	—
278	C₄×C₅	—	2	1	no	—
279	C₄×C₅	—	3	1	no	—
280	C₄×C₅	—	3	1	no	—
281	C₄×C₅	—	6	1	no	—
282	C₄×C₅	D₃×D₄	1	1	yes	characteristic
283	C₄×C₅	C₂³×D₃	1	1	yes	characteristic
284	Dic₅	—	6	2	no	—
285	#41	—	3	1	no	—
286	#41	—	3	1	no	—
287	#41	—	3	1	no	—
288	#41	—	6	1	no	—
289	#41	—	6	1	no	—
290	#41	—	15	2	no	—
291	#41	—	15	2	no	—
292	#41	—	30	1	no	—
293	#41	—	30	1	no	—
294	#41	D₃×D₅	1	1	yes	characteristic
295	C₂×Q₈	—	3	1	no	—
296	C₂×Q₈	—	15	1	no	—
297	C₂×D₄	—	3	1	no	—
298	C₂×D₄	—	5	1	no	—
299	C₂×D₄	—	6	1	no	—
300	C₂×D₄	—	30	1	no	—
301	C₂²×C₄	—	3	1	no	—
302	C₂²×C₄	—	6	1	no	—
303	C₂²×C₄	—	30	1	no	—
304	Q₁₆	—	15	2	no	—
305	Q₁₆	—	15	2	no	—
306	SD₁₆	—	5	2	no	—
307	SD₁₆	—	15	2	no	—
308	SD₁₆	—	15	2	no	—
309	SD₁₆	—	15	2	no	—
310	D₈	—	5	2	no	—
311	D₈	—	15	2	no	—
312	M₁₆	—	5	1	no	—
313	M₁₆	—	15	2	no	—
314	M₁₆	—	15	1	no	—
315	C₂×C₈	—	15	2	no	—
316	C₃×C₅	#575	1	1	yes	characteristic, complemented, Hall
317	C₂²×C₃	—	2	1	no	—
318	C₂²×C₃	—	10	2	no	—
319	C₂²×C₃	—	20	2	no	—
320	C₂²×C₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
321	C₂×D₃	—	2	1	no	—
322	C₂×D₃	—	4	1	no	—
323	C₂×D₃	—	4	2	no	—
324	C₂×D₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
325	C₂×D₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
326	C₃×C₄	—	2	1	no	—
327	C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
328	C₃×C₄	C₂³×D₅	1	1	yes	characteristic
329	Dic₃	—	2	1	no	—
330	Dic₃	—	10	2	no	—
331	Dic₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
332	Dic₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
333	C₂×C₅	—	2	1	no	—
334	C₂×C₅	—	4	1	no	—
335	C₂×C₅	—	6	1	no	—
336	C₂×C₅	—	6	1	no	—
337	C₂×C₅	—	12	1	no	—
338	C₂×C₅	C₂×D₃×D₄	1	1	yes	characteristic
339	D₅	—	4	2	no	—
340	C₂³	—	3	1	no	—
341	C₂³	—	6	1	no	—
342	C₂³	—	10	1	no	—
343	Q₈	—	3	1	no	—
344	Q₈	—	6	1	no	—
345	Q₈	—	15	2	no	—
346	Q₈	—	30	1	no	—
347	Q₈	C₂×D₃×D₅	1	1	yes	characteristic
348	D₄	—	2	1	no	—
349	D₄	—	3	1	no	—
350	D₄	—	5	2	no	—
351	D₄	—	6	1	no	—
352	D₄	—	6	1	no	—
353	D₄	—	6	1	no	—
354	D₄	—	6	1	no	—
355	D₄	—	10	1	no	—
356	D₄	—	30	2	no	—
357	D₄	—	30	2	no	—
358	D₄	C₂×D₃×D₅	1	1	yes	characteristic
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	3	1	no	—
361	C₂×C₄	—	3	1	no	—
362	C₂×C₄	—	3	1	no	—
363	C₂×C₄	—	3	1	no	—
364	C₂×C₄	—	3	1	no	—
365	C₂×C₄	—	6	1	no	—
366	C₂×C₄	—	6	1	no	—
367	C₂×C₄	—	6	1	no	—
368	C₂×C₄	—	6	1	no	—
369	C₂×C₄	—	30	2	no	—
370	C₂×C₄	—	30	2	no	—
371	C₂×C₄	—	30	1	no	—
372	C₂×C₄	C₂×D₃×D₅	1	1	yes	characteristic
373	C₈	—	5	2	no	—
374	C₈	—	15	2	no	—
375	C₂×C₃	—	2	1	no	—
376	C₂×C₃	—	4	1	no	—
377	C₂×C₃	—	20	2	no	—
378	C₂×C₃	C₂²×C₂²⋊D₅	1	1	yes	characteristic
379	D₃	—	2	1	no	—
380	D₃	—	2	1	no	—
381	D₃	—	4	1	no	—
382	C₅	#5773	1	1	yes	characteristic, complemented, Sylow
383	C₂²	—	2	1	no	—
384	C₂²	—	3	1	no	—
385	C₂²	—	3	1	no	—
386	C₂²	—	6	1	no	—
387	C₂²	—	10	2	no	—
388	C₂²	—	12	1	no	—
389	C₂²	—	12	2	no	—
390	C₂²	—	20	2	no	—
391	C₂²	D₃×C₂²⋊D₅	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	3	1	no	—
394	C₄	—	3	1	no	—
395	C₄	—	6	1	no	—
396	C₄	—	30	2	no	—
397	C₄	D₃×C₂²⋊D₅	1	1	yes	characteristic
398	C₄	C₂²×D₃×D₅	1	1	yes	characteristic
399	C₃	#66156	1	1	yes	characteristic, complemented, Sylow
400	C₂	—	2	1	no	—
401	C₂	—	4	1	no	—
402	C₂	—	6	1	no	—
403	C₂	—	6	1	no	—
404	C₂	—	12	1	no	—
405	C₂	—	20	2	no	—
406	C₂	C₂×D₃×C₂²⋊D₅	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×D₃×C₂²⋊D₅
commutator, cosocle	C₃×C₄×C₅	C₂⁴
Frattini	C₄	C₂²×D₃×D₅
Fitting	C₃×C₅×#41	C₂²
socle	C₂×C₃×C₅	C₂²×D₄
hypercenter	#41	D₃×D₅
hypocenter	C₃×C₅	#575
LCS	G ▷ C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #41

Complements

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

N	H ≅ G/N	type
1. C₅×D₃×#41	C₂	semidirect
2. C₂×#6765	C₂	semidirect
3. #91840	C₂	semidirect
4. C₃×#4095	C₂	semidirect
5. #91518	C₂	semidirect
6. #91517	C₂	semidirect
7. #91494	C₂	semidirect
8. #91493	C₂	semidirect
9. #91322	C₂	semidirect
10. #91298	C₂	semidirect
11. D₃×#681	C₂	semidirect
14. C₂×Dic₃₀	C₂²	semidirect
15. C₅×#239	C₂²	semidirect
16. C₅×D₃×Q₈	C₂²	semidirect
18. C₅×#237	C₂²	semidirect
20. C₅×D₃×D₄	C₂²	semidirect
25. C₂×C₃×D₂₀	C₂²	semidirect
31. #6765	C₂²	semidirect
32. #6718	C₂²	semidirect
33. #6716	C₂²	semidirect
34. #6710	C₂²	semidirect
35. C₃×#688	C₂²	semidirect
36. C₃×#686	C₂²	semidirect
37. C₃×#681	C₂²	semidirect
38. #6663	C₂²	semidirect
39. #6659	C₂²	semidirect
40. #6655	C₂²	semidirect
41. #6652	C₂²	semidirect
42. #6650	C₂²	semidirect
43. D₃×#168	C₂²	semidirect
52. #4095	D₃	semidirect
91. D₃×#41	D₅	semidirect
118. C₂×D₂₀	C₂×D₃	semidirect
124. #688	C₂×D₃	semidirect
128. #686	C₂×D₃	semidirect
131. #681	C₂×D₃	semidirect
154. #239	C₂×D₅	semidirect
155. D₃×Q₈	C₂×D₅	semidirect
161. #237	C₂×D₅	semidirect
163. D₃×D₄	C₂×D₅	semidirect
316. C₃×C₅	#575	semidirect
382. C₅	#5773	semidirect
399. C₃	#66156	semidirect

Maximal subgroups

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

subgroup	index
C₅×D₃×#41	2
C₂×#6765	2
#91840	2
C₃×#4095	2
#91518	2
#91517	2
#91494	2
#91493	2
#91322	2
#91298	2
D₃×#681	2
#66156	3
#5773	5