Subgroups — #12068340

Order 1280.

666 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	C₅×#2989	C₂	1	1	yes	maximal, characteristic
2	#10614252	C₂	1	1	yes	maximal, characteristic
3	C₄×#4094	C₂	1	1	yes	maximal, characteristic
4	#10601588	C₂	1	2	yes	maximal, complemented
5	#10601587	C₂	1	2	yes	maximal, complemented
6	#10601539	C₂	1	1	yes	maximal, characteristic, complemented
7	#10601538	C₂	1	1	yes	maximal, characteristic, complemented
8	#10601285	C₂	1	2	yes	maximal, complemented
9	#10601283	C₂	1	2	yes	maximal, complemented
10	#10601213	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#64700	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×C₅×#41	C₂²	1	1	yes	characteristic
13	C₂×#4094	C₄	1	1	yes	characteristic
14	C₂×#4094	C₄	1	1	yes	characteristic
15	C₅×#446	—	2	1	no	—
16	C₅×#436	—	2	1	no	—
17	C₅×#435	—	2	2	no	—
18	C₅×#432	C₂²	1	2	yes	—
19	C₅×#431	C₂²	1	1	yes	characteristic
20	C₅×#423	C₂²	1	2	yes	—
21	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
22	#65313	—	2	1	no	—
23	#65301	—	2	1	no	—
24	#65300	—	2	2	no	—
25	#65286	C₄	1	2	yes	—
26	#65286	C₄	1	2	yes	—
27	#65286	C₄	1	1	yes	characteristic
28	#65286	C₄	1	1	yes	characteristic
29	#65215	C₂²	1	2	yes	—
30	#65214	C₂²	1	1	yes	characteristic
31	#65213	C₂²	1	2	yes	—
32	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic
33	C₄×#681	C₂²	1	1	yes	characteristic
34	C₄×#681	C₂²	1	2	yes	—
35	C₂×C₄×#168	C₂²	1	1	yes	characteristic
36	C₂×C₄×#168	C₂²	1	2	yes	—
37	#64700	C₂²	1	1	yes	characteristic
38	#64700	C₂²	1	1	yes	characteristic
39	#64700	C₂²	1	2	yes	—
40	#64700	C₂²	1	2	yes	—
41	#64700	C₂²	1	2	yes	—
42	#64700	C₂²	1	2	yes	—
43	#64699	C₂²	1	1	yes	characteristic
44	#64699	C₂²	1	1	yes	characteristic
45	#64699	C₂²	1	2	yes	—
46	#64699	C₂²	1	2	yes	—
47	#17798	—	5	1	no	maximal, Sylow
48	C₂×C₅×#41	C₂×C₄	1	1	yes	characteristic
49	C₂×C₅×M₁₆	—	2	2	no	—
50	C₂²×C₅×C₈	—	2	1	no	—
51	C₄×C₅×Q₈	D₄	1	1	yes	characteristic
52	C₄×C₅×Q₈	Q₈	1	1	yes	characteristic
53	C₄×C₅×D₄	D₄	1	2	yes	—
54	C₄×C₅×D₄	D₄	1	1	yes	characteristic
55	C₄×C₅×D₄	Q₈	1	2	yes	—
56	C₄×C₅×D₄	Q₈	1	1	yes	characteristic
57	C₅×#117	C₂×C₄	1	2	yes	—
58	C₅×#117	C₂×C₄	1	1	yes	characteristic
59	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₅	C₂³	1	2	yes	—
61	#4094	—	2	4	no	—
62	#4094	—	2	4	no	—
63	C₂×#681	—	2	2	no	—
64	C₂×#681	C₂×C₄	1	1	yes	characteristic
65	C₂×#681	C₂×C₄	1	2	yes	—
66	C₂×#681	C₂×C₄	1	2	yes	—
67	C₂×#681	C₂×C₄	1	1	yes	characteristic
68	C₂²×#168	—	2	1	no	—
69	C₂²×#168	C₂×C₄	1	1	yes	characteristic
70	C₂²×#168	C₂×C₄	1	2	yes	—
71	C₂²×#168	C₂×C₄	1	2	yes	—
72	C₂²×#168	C₂×C₄	1	1	yes	characteristic
73	C₅×C₄⋊C₈	—	2	1	no	—
74	C₅×C₄⋊C₈	—	2	2	no	—
75	C₅×C₄⋊C₈	C₂³	1	2	yes	—
76	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
77	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
78	C₅×C₂²⋊C₈	—	2	1	no	—
79	C₅×C₂²⋊C₈	—	2	2	no	—
80	C₅×#97	—	2	2	no	—
81	C₄×C₅×C₈	—	2	1	no	—
82	C₂²⋊#168	—	2	1	no	—
83	C₂²⋊#168	—	2	2	no	—
84	C₄⋊#168	—	2	2	no	—
85	C₄⋊#168	—	2	1	no	—
86	C₄⋊#168	C₂³	1	1	yes	characteristic
87	C₄⋊#168	C₂³	1	2	yes	—
88	C₄⋊#168	C₂³	1	1	yes	characteristic
89	#3935	—	2	2	no	—
90	#3935	C₂×C₄	1	2	yes	—
91	#3935	C₂×C₄	1	2	yes	—
92	#3935	C₂×C₄	1	2	yes	—
93	C₄×#168	—	2	1	no	—
94	C₄×#168	C₂×C₄	1	2	yes	—
95	C₄×#168	C₂×C₄	1	1	yes	characteristic
96	C₄×#168	C₂×C₄	1	1	yes	characteristic
97	C₄×#168	C₂×C₄	1	2	yes	—
98	C₄×#168	C₂³	1	1	yes	characteristic
99	C₄×#168	C₂³	1	1	yes	characteristic
100	C₄×#168	C₂³	1	2	yes	—
101	#2989	—	5	1	no	—
102	#2989	D₅	1	1	yes	characteristic
103	C₄×#131	—	5	1	no	—
104	#1569	—	5	2	no	—
105	#1569	—	5	2	no	—
106	#1568	—	5	2	no	—
107	#1566	—	5	2	no	—
108	#1565	—	5	1	no	—
109	#1565	—	5	1	no	—
110	#1564	—	5	1	no	—
111	C₂×#334	—	5	1	no	—
112	C₅×#41	—	2	2	no	—
113	C₅×#41	—	2	2	no	—
114	C₂×C₅×Q₈	C₄⋊C₄	1	1	yes	characteristic
115	C₂×C₅×D₄	C₄⋊C₄	1	2	yes	—
116	C₂×C₅×D₄	C₄⋊C₄	1	1	yes	characteristic
117	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
118	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
119	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
120	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
121	C₂²×C₄×C₅	C₂×Q₈	1	2	yes	—
122	C₂²×C₄×C₅	C₂×Q₈	1	1	yes	characteristic
123	C₅×M₁₆	—	8	2	no	—
124	C₂×C₅×C₈	—	2	2	no	—
125	C₂×C₅×C₈	—	2	1	no	—
126	C₂×C₅×C₈	—	2	1	no	—
127	C₂×C₅×C₈	—	8	1	no	—
128	C₅×C₄⋊C₄	C₄⋊C₄	1	2	yes	—
129	C₅×C₄⋊C₄	C₄⋊C₄	1	1	yes	characteristic
130	C₅×C₄⋊C₄	C₄⋊C₄	1	2	yes	—
131	C₅×C₄⋊C₄	C₄⋊C₄	1	1	yes	characteristic
132	C₅×C₂²⋊C₄	C₄⋊C₄	1	2	yes	—
133	C₅×C₂²⋊C₄	C₄⋊C₄	1	2	yes	—
134	C₅×C₂²⋊C₄	C₄⋊C₄	1	2	yes	—
135	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
136	C₄²×C₅	C₂²×C₄	1	2	yes	—
137	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
138	C₄²×C₅	C₂×D₄	1	2	yes	—
139	C₄²×C₅	C₂×Q₈	1	2	yes	—
140	C₄²×C₅	C₂×Q₈	1	1	yes	characteristic
141	C₄²×C₅	C₂⁴	1	1	yes	characteristic
142	#681	—	2	2	no	—
143	#681	—	2	4	no	—
144	#681	—	2	4	no	—
145	#681	—	8	2	no	—
146	#681	M₁₆	1	4	yes	complemented
147	C₂×#168	—	2	2	no	—
148	C₂×#168	—	2	4	no	—
149	C₂×#168	—	2	4	no	—
150	C₂×#168	—	2	1	no	—
151	C₂×#168	—	2	1	no	—
152	C₂×#168	—	2	2	no	—
153	C₂×#168	—	8	1	no	—
154	C₂×#168	M₁₆	1	4	yes	complemented
155	C₂×#168	C₂²×C₄	1	1	yes	characteristic
156	C₂×#168	C₂²×C₄	1	1	yes	characteristic
157	C₂×#168	C₂²×C₄	1	2	yes	—
158	C₂×#168	C₂²×C₄	1	1	yes	characteristic
159	C₂×#168	C₂²×C₄	1	2	yes	—
160	C₂×#168	C₂²×C₄	1	1	yes	characteristic
161	C₂×#131	—	5	1	no	—
162	C₂×#131	—	5	1	no	—
163	C₄×#41	C₂×D₅	1	1	yes	characteristic
164	#446	—	2	1	no	—
165	#446	—	10	1	no	—
166	#436	—	2	1	no	—
167	#436	—	10	1	no	—
168	#435	—	2	2	no	—
169	#435	—	10	2	no	—
170	#432	—	5	2	no	—
171	#432	C₂×D₅	1	2	yes	—
172	#431	—	5	1	no	—
173	#431	C₂×D₅	1	1	yes	characteristic
174	#423	—	5	2	no	—
175	#423	C₂×D₅	1	2	yes	—
176	C₂×C₄⋊C₈	—	5	1	no	—
177	C₂×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
178	#405	—	5	1	no	—
179	#405	—	5	2	no	—
180	#405	—	5	2	no	—
181	#405	—	5	1	no	—
182	C₄×M₁₆	—	5	1	no	—
183	C₄×M₁₆	—	5	2	no	—
184	C₂×C₄×C₈	—	5	1	no	—
185	C₂×C₄×C₈	—	5	2	no	—
186	#335	—	5	1	no	—
187	#335	—	5	1	no	—
188	#335	—	5	2	no	—
189	#335	—	5	2	no	—
190	#334	—	5	2	no	—
191	#334	—	5	2	no	—
192	#334	—	5	1	no	—
193	#334	—	5	1	no	—
194	#334	—	5	2	no	—
195	#334	—	5	2	no	—
196	C₂³×C₅	C₂×C₄⋊C₄	1	2	yes	—
197	C₂³×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
198	C₅×Q₈	—	2	2	no	—
199	C₅×D₄	—	2	4	no	—
200	C₅×D₄	—	2	2	no	—
201	C₂×C₄×C₅	—	2	2	no	—
202	C₂×C₄×C₅	—	2	2	no	—
203	C₂×C₄×C₅	—	2	1	no	—
204	C₂×C₄×C₅	—	2	2	no	—
205	C₂×C₄×C₅	—	2	1	no	—
206	C₂×C₄×C₅	—	2	2	no	—
207	C₂×C₄×C₅	—	4	1	no	—
208	C₂×C₄×C₅	—	4	2	no	—
209	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
210	C₂×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
211	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
212	C₂×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
213	C₂×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
214	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
215	C₂×C₄×C₅	C₂×M₁₆	1	2	yes	—
216	C₂×C₄×C₅	C₂×M₁₆	1	2	yes	—
217	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
218	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
219	C₂×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
220	C₅×C₈	—	4	1	no	—
221	C₅×C₈	—	4	2	no	—
222	C₅×C₈	—	4	1	no	—
223	#168	—	2	1	no	—
224	#168	—	2	1	no	—
225	#168	—	2	2	no	—
226	#168	—	4	1	no	—
227	#168	—	4	2	no	—
228	#168	—	4	1	no	—
229	#168	C₂×M₁₆	1	2	yes	—
230	#168	C₂×M₁₆	1	4	yes	—
231	#168	C₂×M₁₆	1	2	yes	—
232	C₂×#41	C₄×D₅	1	1	yes	characteristic
233	#131	—	10	4	no	—
234	#131	—	10	4	no	—
235	C₂×M₁₆	—	2	2	no	—
236	C₂×M₁₆	—	5	1	no	—
237	C₂×M₁₆	—	5	2	no	—
238	C₂×M₁₆	—	5	2	no	—
239	C₂×M₁₆	—	5	1	no	—
240	C₂×M₁₆	—	10	2	no	—
241	C₂²×C₈	—	2	1	no	—
242	C₂²×C₈	—	5	1	no	—
243	C₂²×C₈	—	5	2	no	—
244	C₂²×C₈	—	5	2	no	—
245	C₂²×C₈	—	5	1	no	—
246	C₂²×C₈	—	10	1	no	—
247	C₄×Q₈	Dic₁₀	1	1	yes	characteristic
248	C₄×Q₈	C₂²⋊D₅	1	1	yes	characteristic
249	C₄×D₄	Dic₁₀	1	2	yes	—
250	C₄×D₄	Dic₁₀	1	1	yes	characteristic
251	C₄×D₄	C₂²⋊D₅	1	2	yes	—
252	C₄×D₄	C₂²⋊D₅	1	1	yes	characteristic
253	#117	C₄×D₅	1	2	yes	—
254	#117	C₄×D₅	1	1	yes	characteristic
255	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
256	C₂×C₄²	C₂²×D₅	1	2	yes	—
257	C₄⋊C₈	—	2	1	no	—
258	C₄⋊C₈	—	2	2	no	—
259	C₄⋊C₈	—	5	2	no	—
260	C₄⋊C₈	—	5	1	no	—
261	C₄⋊C₈	—	5	1	no	—
262	C₄⋊C₈	—	10	1	no	—
263	C₄⋊C₈	—	10	2	no	—
264	C₄⋊C₈	C₂²×D₅	1	2	yes	—
265	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
266	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
267	C₂²⋊C₈	—	2	1	no	—
268	C₂²⋊C₈	—	2	2	no	—
269	C₂²⋊C₈	—	10	1	no	—
270	C₂²⋊C₈	—	10	2	no	—
271	#97	—	2	2	no	—
272	#97	—	5	2	no	—
273	#97	—	5	2	no	—
274	#97	—	5	2	no	—
275	#97	—	10	2	no	—
276	C₄×C₈	—	2	1	no	—
277	C₄×C₈	—	5	2	no	—
278	C₄×C₈	—	5	1	no	—
279	C₄×C₈	—	5	1	no	—
280	C₄×C₈	—	5	2	no	—
281	C₄×C₈	—	5	1	no	—
282	C₄×C₈	—	5	1	no	—
283	C₄×C₈	—	5	2	no	—
284	C₄×C₈	—	10	1	no	—
285	C₂²×C₅	—	2	1	no	—
286	C₂²×C₅	—	2	1	no	—
287	C₂²×C₅	—	2	2	no	—
288	C₂²×C₅	—	2	2	no	—
289	C₂²×C₅	—	2	2	no	—
290	C₂²×C₅	#423	1	2	yes	—
291	C₂²×C₅	C₂²×C₄⋊C₄	1	1	yes	characteristic
292	C₄×C₅	—	2	2	no	—
293	C₄×C₅	—	2	1	no	—
294	C₄×C₅	—	2	2	no	—
295	C₄×C₅	—	2	1	no	—
296	C₄×C₅	—	2	1	no	—
297	C₄×C₅	—	2	2	no	—
298	C₄×C₅	#423	1	2	yes	—
299	C₄×C₅	C₂²×M₁₆	1	1	yes	characteristic
300	C₄×C₅	C₂²×M₁₆	1	1	yes	characteristic
301	C₄×C₅	#577	1	1	yes	characteristic
302	C₄×C₅	#577	1	1	yes	characteristic
303	#41	—	2	2	no	—
304	#41	—	2	2	no	—
305	C₂×Q₈	#683	1	1	yes	characteristic
306	C₂×D₄	#683	1	2	yes	—
307	C₂×D₄	#683	1	1	yes	characteristic
308	C₂²×C₄	C₂×Dic₁₀	1	2	yes	—
309	C₂²×C₄	C₂×Dic₁₀	1	1	yes	characteristic
310	C₂²×C₄	C₂×C₄×D₅	1	2	yes	—
311	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
312	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
313	C₂²×C₄	C₂×C₂²⋊D₅	1	2	yes	—
314	M₁₆	—	5	4	no	—
315	M₁₆	—	8	2	no	—
316	M₁₆	—	10	4	no	—
317	M₁₆	—	10	4	no	—
318	M₁₆	—	10	2	no	—
319	M₁₆	—	40	2	no	—
320	C₂×C₈	—	2	1	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	2	2	no	—
323	C₂×C₈	—	5	1	no	—
324	C₂×C₈	—	5	1	no	—
325	C₂×C₈	—	5	2	no	—
326	C₂×C₈	—	5	4	no	—
327	C₂×C₈	—	5	1	no	—
328	C₂×C₈	—	5	2	no	—
329	C₂×C₈	—	5	1	no	—
330	C₂×C₈	—	8	1	no	—
331	C₂×C₈	—	10	4	no	—
332	C₂×C₈	—	10	4	no	—
333	C₂×C₈	—	10	2	no	—
334	C₂×C₈	—	10	1	no	—
335	C₂×C₈	—	10	1	no	—
336	C₂×C₈	—	10	2	no	—
337	C₂×C₈	—	40	1	no	—
338	C₄⋊C₄	#683	1	2	yes	—
339	C₄⋊C₄	#683	1	1	yes	characteristic
340	C₄⋊C₄	#683	1	2	yes	—
341	C₄⋊C₄	#683	1	1	yes	characteristic
342	C₂²⋊C₄	#683	1	2	yes	—
343	C₂²⋊C₄	#683	1	2	yes	—
344	C₂²⋊C₄	#683	1	2	yes	—
345	C₄²	C₂×Dic₁₀	1	2	yes	—
346	C₄²	C₂×Dic₁₀	1	1	yes	characteristic
347	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
348	C₄²	C₂×C₄×D₅	1	2	yes	—
349	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
350	C₄²	C₂×C₂²⋊D₅	1	2	yes	—
351	C₄²	C₂³×D₅	1	1	yes	characteristic
352	C₂×C₅	—	2	2	no	—
353	C₂×C₅	—	4	2	no	—
354	C₂×C₅	C₂×#423	1	1	yes	characteristic
355	C₂×C₅	#2912	1	1	yes	characteristic
356	C₂×C₅	#2916	1	1	yes	characteristic
357	C₂³	C₂×#683	1	2	yes	—
358	C₂³	C₂×#683	1	1	yes	characteristic
359	Q₈	—	2	2	no	—
360	D₄	—	2	4	no	—
361	D₄	—	2	2	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	2	2	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	2	2	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	D₅×M₁₆	1	2	yes	—
371	C₂×C₄	D₅×M₁₆	1	2	yes	—
372	C₂×C₄	C₂×#683	1	1	yes	characteristic
373	C₂×C₄	C₂×#683	1	2	yes	—
374	C₂×C₄	C₂×#683	1	2	yes	—
375	C₂×C₄	C₂×#683	1	1	yes	characteristic
376	C₂×C₄	C₂×#683	1	2	yes	—
377	C₂×C₄	C₂×#683	1	1	yes	characteristic
378	C₂×C₄	C₂²×Dic₁₀	1	1	yes	characteristic
379	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
380	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
381	C₈	—	4	2	no	—
382	C₈	—	4	1	no	—
383	C₈	—	4	1	no	—
384	C₈	—	5	2	no	—
385	C₈	—	5	2	no	—
386	C₈	—	5	4	no	—
387	C₈	—	10	1	no	—
388	C₈	—	10	2	no	—
389	C₈	—	10	1	no	—
390	C₈	—	20	1	no	—
391	C₈	—	20	2	no	—
392	C₈	—	20	1	no	—
393	C₅	#17798	1	1	yes	characteristic, complemented, Sylow
394	C₂²	—	2	1	no	—
395	C₂²	—	2	1	no	—
396	C₂²	—	2	2	no	—
397	C₂²	—	2	2	no	—
398	C₂²	—	2	2	no	—
399	C₂²	#65407	1	2	yes	—
400	C₂²	C₂²×#683	1	1	yes	characteristic
401	C₄	—	2	1	no	—
402	C₄	—	2	2	no	—
403	C₄	—	2	2	no	—
404	C₄	—	2	1	no	—
405	C₄	—	2	1	no	—
406	C₄	—	2	2	no	—
407	C₄	#65407	1	2	yes	—
408	C₄	C₂×D₅×M₁₆	1	1	yes	characteristic
409	C₄	C₂×D₅×M₁₆	1	1	yes	characteristic
410	C₄	#66170	1	1	yes	characteristic
411	C₄	#66171	1	1	yes	characteristic
412	C₂	—	2	2	no	—
413	C₂	—	4	2	no	—
414	C₂	#10614292	1	1	yes	characteristic
415	C₂	C₂×#65407	1	1	yes	characteristic
416	C₂	#10615541	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₅
commutator	C₂×C₄×C₅	C₂³×C₄
Frattini	C₄²	C₂³×D₅
Fitting	C₅×#2989	C₂
socle	C₂²×C₅	C₂²×C₄⋊C₄
prime radical	C₂×C₅×#41	C₂×C₄
cosocle	C₄²×C₅	C₂⁴
hypercenter	#2989	D₅
hypocenter	C₅	#17798
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #2989

Complements

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

N	H ≅ G/N	type
4. #10601588	C₂	semidirect
5. #10601587	C₂	semidirect
6. #10601539	C₂	semidirect
7. #10601538	C₂	semidirect
8. #10601285	C₂	semidirect
9. #10601283	C₂	semidirect
10. #10601213	C₂	semidirect
11. C₂×#64700	C₂	semidirect
146. #681	M₁₆	semidirect
154. C₂×#168	M₁₆	semidirect
393. C₅	#17798	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2989	2
#10614252	2
C₄×#4094	2
#10601588	2
#10601587	2
#10601539	2
#10601538	2
#10601285	2
#10601283	2
#10601213	2
C₂×#64700	2
#17798	5