Subgroups — #12068536

Order 1280.

702 conjugacy classes of subgroups.

The subgroup lattice has 418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10611007	C₂	1	1	yes	maximal, characteristic
2	#10610780	C₂	1	1	yes	maximal, characteristic
3	#10610743	C₂	1	1	yes	maximal, characteristic
4	C₅×#1571	C₂	1	1	yes	maximal, characteristic, complemented
5	#10601543	C₂	1	1	yes	maximal, characteristic, complemented
6	#10601284	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#64699	C₂	1	1	yes	maximal, characteristic, complemented
8	#10599365	C₂	1	2	yes	maximal, complemented
9	#10599365	C₂	1	2	yes	maximal, complemented
10	#10599362	C₂	1	2	yes	maximal, complemented
11	D₅×#335	C₂	1	2	yes	maximal, complemented
12	C₂×#4053	—	2	1	no	—
13	C₂×#4047	—	2	1	no	—
14	C₄×#709	C₂²	1	1	yes	characteristic
15	C₅×#431	C₂²	1	1	yes	characteristic
16	C₅×#423	C₂²	1	1	yes	characteristic
17	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
18	#65408	—	2	1	no	—
19	#65391	—	2	1	no	—
20	#65213	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic
22	C₂×C₄×#168	C₂²	1	1	yes	characteristic
23	#65128	—	2	2	no	—
24	#65128	—	2	2	no	—
25	#65126	C₂²	1	2	yes	—
26	#65126	C₂²	1	2	yes	—
27	#65123	C₄	1	1	yes	characteristic
28	#65123	C₄	1	1	yes	characteristic
29	D₅×C₄⋊C₈	C₂²	1	2	yes	—
30	D₅×C₄⋊C₈	C₂²	1	2	yes	—
31	#65119	C₄	1	1	yes	characteristic
32	#65119	C₄	1	1	yes	characteristic
33	#65014	C₄	1	2	yes	—
34	#65014	C₄	1	2	yes	—
35	#64974	C₂²	1	2	yes	—
36	C₄×C₈×D₅	C₂²	1	2	yes	—
37	C₅×#335	C₂²	1	2	yes	—
38	C₅×#335	C₂²	1	2	yes	—
39	#64699	C₂²	1	2	yes	—
40	#64699	C₂²	1	2	yes	—
41	#64699	C₂²	1	1	yes	characteristic
42	#64699	C₂²	1	1	yes	characteristic
43	#64699	C₂²	1	1	yes	characteristic
44	#64699	C₂²	1	1	yes	characteristic
45	#64678	C₂²	1	2	yes	—
46	#64678	C₂²	1	2	yes	—
47	#17828	—	5	1	no	maximal, Sylow
48	C₂×#709	D₄	1	1	yes	characteristic
49	C₂×C₅×M₁₆	—	2	1	no	—
50	C₂²×C₅×C₈	—	2	1	no	—
51	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
52	C₄×C₂²⋊D₅	C₂×C₄	1	2	yes	—
53	C₄×C₂²⋊D₅	Q₈	1	2	yes	—
54	#4072	D₄	1	1	yes	characteristic
55	C₂×#681	—	2	1	no	—
56	C₂²×#168	—	2	1	no	—
57	C₂²×#168	C₂×C₄	1	1	yes	characteristic
58	C₂²×#168	C₂×C₄	1	1	yes	characteristic
59	#4053	—	4	4	no	—
60	#4047	—	4	4	no	—
61	C₂×#676	—	2	2	no	—
62	C₂×#676	—	2	2	no	—
63	C₂×C₈×D₅	—	2	2	no	—
64	C₂×C₈×D₅	—	2	2	no	—
65	C₂×C₈×D₅	C₂×C₄	1	2	yes	—
66	C₂×C₈×D₅	C₂×C₄	1	2	yes	—
67	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
68	C₄×D₂₀	Q₈	1	1	yes	characteristic
69	#4018	D₄	1	2	yes	—
70	C₄²×D₅	C₂³	1	2	yes	—
71	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
72	C₄×Dic₁₀	Q₈	1	1	yes	characteristic
73	C₅×C₄⋊C₈	—	2	1	no	—
74	C₅×C₄⋊C₈	—	2	1	no	—
75	C₅×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
76	C₅×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
77	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
78	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
79	C₅×C₄⋊C₈	C₂³	1	2	yes	—
80	C₅×C₂²⋊C₈	C₂×C₄	1	2	yes	—
81	C₄×C₅×C₈	C₂³	1	2	yes	—
82	#3952	C₂×C₄	1	2	yes	—
83	#3952	C₂×C₄	1	2	yes	—
84	#3946	—	2	2	no	—
85	#3946	—	2	2	no	—
86	#3946	—	2	2	no	—
87	#3946	—	2	2	no	—
88	#3946	C₂×C₄	1	2	yes	—
89	#3946	C₂×C₄	1	2	yes	—
90	C₈×Dic₅	C₂×C₄	1	2	yes	—
91	C₈×Dic₅	C₂×C₄	1	2	yes	—
92	C₄⋊#168	—	2	1	no	—
93	C₄⋊#168	—	2	1	no	—
94	C₄⋊#168	C₂³	1	1	yes	characteristic
95	C₄⋊#168	C₂³	1	2	yes	—
96	C₄⋊#168	C₂³	1	1	yes	characteristic
97	C₄×#168	C₂×C₄	1	1	yes	characteristic
98	C₄×#168	C₂×C₄	1	1	yes	characteristic
99	C₄×#168	C₂³	1	1	yes	characteristic
100	C₄×#168	C₂³	1	1	yes	characteristic
101	C₈×#41	—	5	1	no	—
102	#2906	—	5	1	no	—
103	#2906	—	5	1	no	—
104	#1571	—	5	1	no	—
105	#1571	—	5	2	no	—
106	#1571	—	5	2	no	—
107	#1571	D₅	1	1	yes	characteristic, complemented
108	#1567	—	5	1	no	—
109	#1567	—	5	2	no	—
110	C₂×#335	—	5	1	no	—
111	C₂×#335	—	5	2	no	—
112	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
113	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
114	C₂²×C₄×C₅	C₂×Q₈	1	1	yes	characteristic
115	C₂×C₂²⋊D₅	C₄⋊C₄	1	2	yes	—
116	#709	D₈	1	4	yes	—
117	#709	Q₁₆	1	4	yes	—
118	C₂×D₂₀	C₄⋊C₄	1	1	yes	characteristic
119	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
120	C₂×C₄×D₅	C₂×D₄	1	2	yes	—
121	C₂×C₄×D₅	C₂×Q₈	1	2	yes	—
122	C₂×Dic₁₀	C₄⋊C₄	1	1	yes	characteristic
123	C₅×M₁₆	—	4	2	no	—
124	C₂×C₅×C₈	—	2	1	no	—
125	C₂×C₅×C₈	—	2	1	no	—
126	C₂×C₅×C₈	—	2	2	no	—
127	C₂×C₅×C₈	—	4	2	no	—
128	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
129	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
130	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
131	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₅	C₂×Q₈	1	1	yes	characteristic
133	C₄²×C₅	C₂⁴	1	1	yes	characteristic
134	C₂²⋊Dic₅	C₄⋊C₄	1	2	yes	—
135	#685	C₄⋊C₄	1	2	yes	—
136	#685	C₄⋊C₄	1	2	yes	—
137	C₄⋊Dic₅	C₄⋊C₄	1	1	yes	characteristic
138	C₄⋊Dic₅	C₄⋊C₄	1	1	yes	characteristic
139	#683	C₄⋊C₄	1	2	yes	—
140	#683	C₄⋊C₄	1	2	yes	—
141	C₄×Dic₅	C₂²×C₄	1	2	yes	—
142	C₄×Dic₅	C₂×D₄	1	2	yes	—
143	C₄×Dic₅	C₂×Q₈	1	2	yes	—
144	#681	—	4	2	no	—
145	C₂×#168	—	2	2	no	—
146	C₂×#168	—	2	1	no	—
147	C₂×#168	—	2	2	no	—
148	C₂×#168	—	2	1	no	—
149	C₂×#168	—	4	1	no	—
150	C₂×#168	—	4	2	no	—
151	C₂×#168	C₂²×C₄	1	1	yes	characteristic
152	C₂×#168	C₂²×C₄	1	1	yes	characteristic
153	C₂×#168	C₂²×C₄	1	1	yes	characteristic
154	C₂×#168	C₂²×C₄	1	1	yes	characteristic
155	#676	—	4	4	no	—
156	#676	—	4	4	no	—
157	C₈×D₅	—	2	4	no	—
158	C₈×D₅	—	4	2	no	—
159	C₈×D₅	—	4	4	no	—
160	C₈×D₅	—	4	4	no	—
161	C₂×#131	—	10	1	no	—
162	C₂×#131	—	10	1	no	—
163	C₄×#41	—	5	1	no	—
164	C₈×Q₈	—	5	1	no	—
165	C₈×Q₈	—	5	1	no	—
166	C₈×D₄	—	5	1	no	—
167	C₈×D₄	—	5	1	no	—
168	C₈×D₄	—	5	2	no	—
169	C₈×D₄	—	5	2	no	—
170	#431	—	5	2	no	—
171	#431	C₂×D₅	1	1	yes	characteristic
172	#424	—	10	2	no	—
173	#424	—	10	2	no	—
174	#424	—	10	1	no	—
175	#424	—	10	1	no	—
176	#423	—	5	1	no	—
177	#423	—	5	2	no	—
178	#423	—	5	2	no	—
179	#423	C₂×D₅	1	1	yes	characteristic
180	C₂×C₄⋊C₈	—	5	1	no	—
181	C₂×C₄⋊C₈	—	5	2	no	—
182	C₂×C₄⋊C₈	—	5	2	no	—
183	C₂×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
184	C₂×C₄×C₈	—	5	1	no	—
185	C₂×C₄×C₈	—	5	2	no	—
186	#335	—	5	1	no	—
187	#335	—	5	2	no	—
188	#335	—	5	1	no	—
189	#335	—	5	1	no	—
190	#335	—	5	1	no	—
191	#335	—	5	2	no	—
192	#335	—	5	2	no	—
193	#335	—	5	2	no	—
194	#335	C₂×D₅	1	2	yes	—
195	#335	C₂×D₅	1	2	yes	—
196	C₂³×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
197	C₂²×D₅	C₂×C₄⋊C₄	1	2	yes	—
198	C₂×C₄×C₅	—	2	1	no	—
199	C₂×C₄×C₅	—	2	1	no	—
200	C₂×C₄×C₅	—	4	1	no	—
201	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
202	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
203	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
204	C₂×C₄×C₅	C₂×D₈	1	2	yes	—
205	C₂×C₄×C₅	C₂×Q₁₆	1	2	yes	—
206	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
207	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
208	C₂×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
209	C₂²⋊D₅	#107	1	8	yes	—
210	C₂×Dic₅	C₂×C₄⋊C₄	1	2	yes	—
211	C₂×Dic₅	C₂×C₄⋊C₄	1	2	yes	—
212	C₂×Dic₅	C₂×C₄⋊C₄	1	2	yes	—
213	D₂₀	#107	1	4	yes	—
214	C₄×D₅	—	2	2	no	—
215	C₄×D₅	—	2	2	no	—
216	C₄×D₅	—	4	2	no	—
217	C₄×D₅	C₂×D₈	1	4	yes	—
218	C₄×D₅	C₂×Q₁₆	1	4	yes	—
219	Dic₁₀	#107	1	4	yes	—
220	C₅×C₈	—	2	2	no	—
221	C₅×C₈	—	2	2	no	—
222	C₅×C₈	—	4	1	no	—
223	C₅×C₈	—	4	2	no	—
224	C₅×C₈	—	4	1	no	—
225	#168	—	2	1	no	—
226	#168	—	2	1	no	—
227	#168	—	2	1	no	—
228	#168	—	4	1	no	—
229	#168	—	4	2	no	—
230	#168	—	4	1	no	—
231	#168	#131	1	2	yes	complemented
232	C₂×#41	—	5	1	no	—
233	#131	—	20	4	no	—
234	#131	—	20	4	no	—
235	C₂×M₁₆	—	2	1	no	—
236	C₂×M₁₆	—	10	2	no	—
237	C₂×M₁₆	—	10	2	no	—
238	C₂×M₁₆	—	10	1	no	—
239	C₂²×C₈	—	2	1	no	—
240	C₂²×C₈	—	5	1	no	—
241	C₂²×C₈	—	5	1	no	—
242	C₂²×C₈	—	5	2	no	—
243	C₂²×C₈	—	5	2	no	—
244	C₂²×C₈	—	10	2	no	—
245	C₂²×C₈	—	10	2	no	—
246	C₂²×C₈	—	10	1	no	—
247	C₄×Q₈	—	5	1	no	—
248	C₄×Q₈	—	5	1	no	—
249	C₄×D₄	—	5	2	no	—
250	C₄×D₄	—	5	2	no	—
251	C₄×D₄	—	5	1	no	—
252	C₄×D₄	—	5	1	no	—
253	#117	—	5	1	no	—
254	#117	—	5	2	no	—
255	C₂×C₄²	—	5	2	no	—
256	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
257	C₄⋊C₈	—	2	1	no	—
258	C₄⋊C₈	—	2	1	no	—
259	C₄⋊C₈	—	5	2	no	—
260	C₄⋊C₈	—	5	2	no	—
261	C₄⋊C₈	—	5	1	no	—
262	C₄⋊C₈	—	5	1	no	—
263	C₄⋊C₈	—	5	2	no	—
264	C₄⋊C₈	—	10	2	no	—
265	C₄⋊C₈	—	10	2	no	—
266	C₄⋊C₈	—	10	2	no	—
267	C₄⋊C₈	—	10	2	no	—
268	C₄⋊C₈	—	10	1	no	—
269	C₄⋊C₈	—	10	1	no	—
270	C₄⋊C₈	C₄×D₅	1	1	yes	characteristic
271	C₄⋊C₈	C₄×D₅	1	1	yes	characteristic
272	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
273	C₄⋊C₈	C₂²×D₅	1	2	yes	—
274	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
275	C₂²⋊C₈	—	5	2	no	—
276	C₂²⋊C₈	—	5	2	no	—
277	C₂²⋊C₈	C₄×D₅	1	2	yes	—
278	C₄×C₈	—	5	2	no	—
279	C₄×C₈	—	5	2	no	—
280	C₄×C₈	—	5	1	no	—
281	C₄×C₈	—	5	1	no	—
282	C₄×C₈	—	5	1	no	—
283	C₄×C₈	—	5	1	no	—
284	C₄×C₈	C₂²×D₅	1	2	yes	—
285	C₂²×C₅	—	2	1	no	—
286	C₂²×C₅	—	2	1	no	—
287	C₂²×C₅	C₂×#107	1	2	yes	—
288	C₂²×C₅	C₂²×C₄⋊C₄	1	1	yes	characteristic
289	C₂×D₅	—	2	2	no	—
290	C₂×D₅	—	2	2	no	—
291	C₂×D₅	C₂×#107	1	4	yes	—
292	C₄×C₅	—	2	1	no	—
293	C₄×C₅	—	2	1	no	—
294	C₄×C₅	—	2	1	no	—
295	C₄×C₅	C₂×#107	1	2	yes	—
296	C₄×C₅	C₂×#131	1	1	yes	characteristic
297	C₄×C₅	#568	1	1	yes	characteristic
298	C₄×C₅	C₂²×D₈	1	1	yes	characteristic
299	C₄×C₅	C₂²×Q₁₆	1	1	yes	characteristic
300	Dic₅	—	2	2	no	—
301	Dic₅	—	2	2	no	—
302	Dic₅	C₂×#107	1	4	yes	—
303	#41	—	5	4	no	—
304	#41	—	5	4	no	—
305	C₂×Q₈	—	5	1	no	—
306	C₂×D₄	—	5	2	no	—
307	C₂×D₄	—	5	1	no	—
308	C₂²×C₄	—	5	2	no	—
309	C₂²×C₄	—	5	2	no	—
310	C₂²×C₄	—	5	2	no	—
311	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
312	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
313	C₂²×C₄	Q₈×D₅	1	1	yes	characteristic
314	M₁₆	—	4	2	no	—
315	M₁₆	—	20	4	no	—
316	M₁₆	—	20	4	no	—
317	M₁₆	—	20	2	no	—
318	C₂×C₈	—	2	1	no	—
319	C₂×C₈	—	2	1	no	—
320	C₂×C₈	—	2	2	no	—
321	C₂×C₈	—	4	2	no	—
322	C₂×C₈	—	5	1	no	—
323	C₂×C₈	—	5	1	no	—
324	C₂×C₈	—	5	1	no	—
325	C₂×C₈	—	5	1	no	—
326	C₂×C₈	—	10	4	no	—
327	C₂×C₈	—	10	2	no	—
328	C₂×C₈	—	10	1	no	—
329	C₂×C₈	—	10	2	no	—
330	C₂×C₈	—	10	1	no	—
331	C₂×C₈	—	20	2	no	—
332	C₂×C₈	—	20	4	no	—
333	C₂×C₈	—	20	4	no	—
334	C₂×C₈	—	20	1	no	—
335	C₂×C₈	—	20	2	no	—
336	C₂×C₈	C₂×C₄×D₅	1	2	yes	—
337	C₂×C₈	C₂×C₄×D₅	1	2	yes	—
338	C₄⋊C₄	—	5	2	no	—
339	C₄⋊C₄	—	5	2	no	—
340	C₄⋊C₄	—	5	1	no	—
341	C₄⋊C₄	—	5	1	no	—
342	C₂²⋊C₄	—	5	2	no	—
343	C₂²⋊C₄	—	5	2	no	—
344	C₂²⋊C₄	—	5	2	no	—
345	C₄²	—	5	2	no	—
346	C₄²	—	5	2	no	—
347	C₄²	—	5	2	no	—
348	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
349	C₄²	D₄×D₅	1	1	yes	characteristic
350	C₄²	Q₈×D₅	1	1	yes	characteristic
351	C₄²	C₂³×D₅	1	1	yes	characteristic
352	C₂×C₅	—	2	2	no	—
353	C₂×C₅	#2906	1	1	yes	characteristic
354	C₂×C₅	C₂²×#107	1	1	yes	characteristic
355	C₂×C₅	#2916	1	1	yes	characteristic
356	D₅	—	2	4	no	—
357	C₂³	—	5	2	no	—
358	C₂³	D₅×C₄⋊C₄	1	1	yes	characteristic
359	Q₈	—	5	4	no	—
360	D₄	—	5	8	no	—
361	D₄	—	5	4	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	4	1	no	—
365	C₂×C₄	—	5	2	no	—
366	C₂×C₄	—	5	4	no	—
367	C₂×C₄	—	5	4	no	—
368	C₂×C₄	—	5	2	no	—
369	C₂×C₄	—	5	2	no	—
370	C₂×C₄	—	10	2	no	—
371	C₂×C₄	—	10	2	no	—
372	C₂×C₄	—	20	2	no	—
373	C₂×C₄	D₅×C₄⋊C₄	1	1	yes	characteristic
374	C₂×C₄	D₅×C₄⋊C₄	1	1	yes	characteristic
375	C₂×C₄	D₅×C₄⋊C₄	1	1	yes	characteristic
376	C₂×C₄	D₅×D₈	1	2	yes	—
377	C₂×C₄	D₅×Q₁₆	1	2	yes	—
378	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
379	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
380	C₂×C₄	C₂×Q₈×D₅	1	1	yes	characteristic
381	C₈	—	2	2	no	—
382	C₈	—	2	2	no	—
383	C₈	—	4	1	no	—
384	C₈	—	4	1	no	—
385	C₈	—	4	2	no	—
386	C₈	—	5	2	no	—
387	C₈	—	10	1	no	—
388	C₈	—	10	1	no	—
389	C₈	—	10	1	no	—
390	C₈	—	20	1	no	—
391	C₈	—	20	2	no	—
392	C₈	—	20	1	no	—
393	C₅	#17828	1	1	yes	characteristic, complemented, Sylow
394	C₂²	—	2	1	no	—
395	C₂²	—	2	1	no	—
396	C₂²	—	5	4	no	—
397	C₂²	—	10	2	no	—
398	C₂²	—	10	2	no	—
399	C₂²	D₅×#107	1	2	yes	—
400	C₂²	C₂×D₅×C₄⋊C₄	1	1	yes	characteristic
401	C₄	—	2	1	no	—
402	C₄	—	2	1	no	—
403	C₄	—	2	1	no	—
404	C₄	—	5	4	no	—
405	C₄	—	10	2	no	—
406	C₄	—	10	2	no	—
407	C₄	D₅×#107	1	2	yes	—
408	C₄	D₅×#131	1	1	yes	characteristic
409	C₄	#66084	1	1	yes	characteristic
410	C₄	C₂×D₅×D₈	1	1	yes	characteristic
411	C₄	C₂×D₅×Q₁₆	1	1	yes	characteristic
412	C₂	—	2	2	no	—
413	C₂	—	10	4	no	—
414	C₂	#10610812	1	1	yes	characteristic
415	C₂	C₂×D₅×#107	1	1	yes	characteristic
416	C₂	#10610991	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator	C₂×C₄×C₅	C₂³×C₄
Frattini	C₄²	C₂³×D₅
Fitting	C₅×#1571	C₂
socle	C₂²×C₅	C₂²×C₄⋊C₄
prime radical	C₂×#709	D₄
cosocle	C₄²×C₅	C₂⁴
hypercenter	#1571	D₅
hypocenter	C₅	#17828
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1571

Complements

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

N	H ≅ G/N	type
4. C₅×#1571	C₂	semidirect
5. #10601543	C₂	semidirect
6. #10601284	C₂	semidirect
7. C₂×#64699	C₂	semidirect
8. #10599365	C₂	semidirect
9. #10599365	C₂	semidirect
10. #10599362	C₂	semidirect
11. D₅×#335	C₂	semidirect
107. #1571	D₅	semidirect
231. #168	#131	semidirect
393. C₅	#17828	semidirect

Maximal subgroups

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

subgroup	index
#10611007	2
#10610780	2
#10610743	2
C₅×#1571	2
#10601543	2
#10601284	2
C₂×#64699	2
#10599365	2
#10599362	2
D₅×#335	2
#17828	5