Subgroups — #10611216

Order 640.

456 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	C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic
2	C₅×#435	C₂	1	1	yes	maximal, characteristic, complemented
3	#65416	C₂	1	1	yes	maximal, characteristic, complemented
4	#65415	C₂	1	1	yes	maximal, characteristic, complemented
5	#65400	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#3952	C₂	1	1	yes	maximal, characteristic, complemented
7	#65300	C₂	1	1	yes	maximal, characteristic, complemented
8	#65125	C₂	1	1	yes	maximal, characteristic, complemented
9	#65124	C₂	1	1	yes	maximal, characteristic, complemented
10	#65019	C₂	1	1	yes	maximal, characteristic, complemented
11	#65017	C₂	1	1	yes	maximal, characteristic, complemented
12	#65015	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
14	#64995	C₂	1	1	yes	maximal, characteristic, complemented
15	#64994	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₄×D₅	C₄	1	1	yes	characteristic
17	C₂²×C₄×D₅	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₅	C₂²	1	1	yes	characteristic
19	C₂×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
20	C₂²×C₅×C₈	C₂²	1	1	yes	characteristic, complemented
21	C₄×C₅×D₄	C₂²	1	1	yes	characteristic
22	D₄×Dic₅	C₄	1	1	yes	characteristic
23	C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
24	C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
25	C₂×#681	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#168	C₂²	1	1	yes	characteristic, complemented
27	C₂×#676	C₂²	1	1	yes	characteristic, complemented
28	C₂×#676	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
31	#4039	C₄	1	1	yes	characteristic
32	D₅×C₄⋊C₄	C₄	1	1	yes	characteristic
33	#4027	C₄	1	1	yes	characteristic
34	#4027	C₄	1	1	yes	characteristic
35	D₅×C₂²⋊C₄	C₄	1	1	yes	characteristic
36	D₅×C₂²⋊C₄	C₄	1	1	yes	characteristic
37	C₄×D₂₀	C₂²	1	1	yes	characteristic
38	C₄²×D₅	C₂²	1	1	yes	characteristic
39	C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
40	C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
41	C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
42	C₅×#97	C₂²	1	1	yes	characteristic, complemented
43	C₂²⋊#168	C₂²	1	1	yes	characteristic, complemented
44	C₂²⋊#168	C₂²	1	1	yes	characteristic, complemented
45	#3952	C₂²	1	1	yes	characteristic
46	#3952	C₂²	1	1	yes	characteristic
47	#3952	C₂²	1	1	yes	characteristic
48	#3952	C₂²	1	1	yes	characteristic
49	#3952	C₂²	1	1	yes	characteristic, complemented
50	#3952	C₂²	1	1	yes	characteristic, complemented
51	#3952	C₂²	1	1	yes	characteristic, complemented
52	#3952	C₂²	1	1	yes	characteristic, complemented
53	#3947	C₂²	1	1	yes	characteristic, complemented
54	#3947	C₂²	1	1	yes	characteristic, complemented
55	#3946	C₂²	1	1	yes	characteristic, complemented
56	#3946	C₂²	1	1	yes	characteristic, complemented
57	C₄⋊#168	C₂²	1	1	yes	characteristic, complemented
58	#3935	C₂²	1	1	yes	characteristic, complemented
59	#2973	—	5	1	no	maximal, Sylow
60	C₂³×D₅	C₂×C₄	1	1	yes	characteristic
61	C₂³×D₅	C₂×C₄	1	1	yes	characteristic
62	C₂×C₅×D₄	C₂×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₅	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₅	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
66	C₂×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
67	C₂²×Dic₅	C₂×C₄	1	1	yes	characteristic
68	C₂²×Dic₅	C₂×C₄	1	1	yes	characteristic
69	D₄×D₅	—	2	4	no	—
70	C₂×D₂₀	C₂×C₄	1	1	yes	characteristic
71	C₂×C₄×D₅	—	4	1	no	—
72	C₂×C₄×D₅	—	4	1	no	—
73	C₂×C₄×D₅	—	4	1	no	—
74	C₂×C₄×D₅	—	4	1	no	—
75	C₂×C₄×D₅	C₂×C₄	1	1	yes	characteristic
76	C₂×C₄×D₅	C₂×C₄	1	1	yes	characteristic
77	C₂×C₄×D₅	C₂×C₄	1	1	yes	characteristic
78	C₂×C₄×D₅	C₂×C₄	1	1	yes	characteristic
79	C₂×C₄×D₅	C₂×C₄	1	1	yes	characteristic
80	C₂×C₄×D₅	C₂×C₄	1	1	yes	characteristic
81	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
82	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
83	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
84	C₅×M₁₆	—	4	1	no	—
85	C₂×C₅×C₈	—	4	1	no	—
86	C₂×C₅×C₈	C₂³	1	1	yes	characteristic
87	C₂×C₅×C₈	C₂³	1	1	yes	characteristic
88	C₂×C₅×C₈	C₂³	1	1	yes	characteristic
89	C₂×C₅×C₈	C₂³	1	1	yes	characteristic
90	C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
91	C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
92	C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
93	C₄²×C₅	C₂³	1	1	yes	characteristic
94	C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
95	C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
96	#685	C₂×C₄	1	1	yes	characteristic
97	#685	C₂×C₄	1	1	yes	characteristic
98	#685	C₂×C₄	1	1	yes	characteristic
99	#685	C₂×C₄	1	1	yes	characteristic
100	C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
101	#683	C₂×C₄	1	1	yes	characteristic
102	#683	C₂×C₄	1	1	yes	characteristic
103	C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
104	C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
105	C₄×Dic₅	C₂³	1	1	yes	characteristic
106	#681	—	4	1	no	—
107	C₂×#168	—	4	1	no	—
108	C₂×#168	C₂³	1	1	yes	characteristic
109	C₂×#168	C₂³	1	1	yes	characteristic
110	C₂×#168	C₂³	1	1	yes	characteristic
111	C₂×#168	C₂³	1	1	yes	characteristic
112	#676	—	4	1	no	—
113	#676	—	4	1	no	—
114	C₈×D₅	—	4	1	no	—
115	C₈×D₅	—	4	1	no	—
116	C₂×C₄×D₄	—	5	1	no	—
117	#435	—	5	1	no	—
118	#435	—	5	1	no	—
119	#435	—	5	1	no	—
120	#435	—	5	1	no	—
121	#435	—	5	1	no	—
122	#435	—	5	1	no	—
123	#435	—	5	1	no	—
124	#435	D₅	1	1	yes	characteristic, complemented
125	#432	—	5	1	no	—
126	#432	—	5	1	no	—
127	#407	—	5	1	no	—
128	#407	—	5	1	no	—
129	C₂×C₂²⋊C₈	—	5	1	no	—
130	C₂×C₂²⋊C₈	—	5	1	no	—
131	C₂³×C₅	C₂²×C₄	1	1	yes	characteristic
132	C₂³×C₅	C₂²×C₄	1	1	yes	characteristic
133	C₂²×D₅	—	2	2	no	—
134	C₂²×D₅	—	4	1	no	—
135	C₂²×D₅	—	4	1	no	—
136	C₂²×D₅	—	4	1	no	—
137	C₂²×D₅	—	4	1	no	—
138	C₂²×D₅	M₁₆	1	4	yes	complemented
139	C₂²×D₅	C₂²×C₄	1	1	yes	characteristic
140	C₂²×D₅	C₂²×C₄	1	1	yes	characteristic
141	C₂²×D₅	C₂²×C₄	1	1	yes	characteristic
142	C₅×D₄	—	2	2	no	—
143	C₂×C₄×C₅	—	2	1	no	—
144	C₂×C₄×C₅	—	2	1	no	—
145	C₂×C₄×C₅	—	2	1	no	—
146	C₂×C₄×C₅	—	2	1	no	—
147	C₂×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
148	C₂×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
149	C₂×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
150	C₂×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
151	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
152	C₂²⋊D₅	—	2	2	no	—
153	C₂²⋊D₅	—	2	2	no	—
154	C₂×Dic₅	—	4	1	no	—
155	C₂×Dic₅	—	4	1	no	—
156	C₂×Dic₅	C₂²×C₄	1	1	yes	characteristic
157	C₂×Dic₅	C₂²×C₄	1	1	yes	characteristic
158	C₂×Dic₅	C₂²×C₄	1	1	yes	characteristic
159	C₂×Dic₅	C₂²×C₄	1	1	yes	characteristic
160	C₂×Dic₅	C₂²×C₄	1	1	yes	characteristic
161	D₂₀	—	2	2	no	—
162	C₄×D₅	—	2	2	no	—
163	C₄×D₅	—	2	1	no	—
164	C₄×D₅	—	2	1	no	—
165	C₄×D₅	—	2	1	no	—
166	C₄×D₅	—	2	1	no	—
167	C₄×D₅	—	2	1	no	—
168	C₄×D₅	—	2	1	no	—
169	C₄×D₅	—	4	1	no	—
170	C₄×D₅	—	4	1	no	—
171	C₄×D₅	—	4	1	no	—
172	C₄×D₅	—	4	1	no	—
173	C₄×D₅	—	4	1	no	—
174	C₅×C₈	—	2	1	no	—
175	C₅×C₈	—	2	1	no	—
176	C₅×C₈	—	2	1	no	—
177	C₅×C₈	—	2	1	no	—
178	#168	—	2	1	no	—
179	#168	—	2	1	no	—
180	#168	—	2	1	no	—
181	#168	—	2	1	no	—
182	C₂²×D₄	—	5	1	no	—
183	C₂³×C₄	—	5	1	no	—
184	C₂³×C₄	—	5	1	no	—
185	C₂×M₁₆	—	5	1	no	—
186	C₂×M₁₆	—	5	1	no	—
187	C₂×M₁₆	—	5	1	no	—
188	C₂×M₁₆	C₂×D₅	1	1	yes	characteristic, complemented
189	C₂²×C₈	—	5	1	no	—
190	C₂²×C₈	—	5	1	no	—
191	C₂²×C₈	—	5	1	no	—
192	C₂²×C₈	C₂×D₅	1	1	yes	characteristic, complemented
193	C₄×D₄	—	5	1	no	—
194	C₄×D₄	—	5	1	no	—
195	C₄×D₄	—	5	1	no	—
196	C₄×D₄	—	5	1	no	—
197	C₄×D₄	—	5	1	no	—
198	C₄×D₄	—	5	1	no	—
199	C₄×D₄	—	5	1	no	—
200	C₄×D₄	C₂×D₅	1	1	yes	characteristic
201	C₂×C₄⋊C₄	—	5	1	no	—
202	C₂×C₂²⋊C₄	—	5	1	no	—
203	C₂×C₂²⋊C₄	—	5	1	no	—
204	C₂×C₄²	—	5	1	no	—
205	C₄⋊C₈	—	5	1	no	—
206	C₄⋊C₈	—	5	1	no	—
207	C₄⋊C₈	—	5	1	no	—
208	C₄⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
209	C₂²⋊C₈	—	5	1	no	—
210	C₂²⋊C₈	—	5	1	no	—
211	C₂²⋊C₈	—	5	1	no	—
212	C₂²⋊C₈	—	5	1	no	—
213	C₂²⋊C₈	—	5	1	no	—
214	C₂²⋊C₈	—	5	1	no	—
215	C₂²⋊C₈	—	5	1	no	—
216	C₂²⋊C₈	—	5	1	no	—
217	C₂²⋊C₈	—	5	1	no	—
218	C₂²⋊C₈	—	5	1	no	—
219	C₂²⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
220	C₂²⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
221	#97	—	5	1	no	—
222	#97	—	5	1	no	—
223	#97	—	5	1	no	—
224	#97	C₂×D₅	1	1	yes	characteristic, complemented
225	C₂²×C₅	—	2	1	no	—
226	C₂²×C₅	—	2	1	no	—
227	C₂²×C₅	—	2	1	no	—
228	C₂²×C₅	—	2	1	no	—
229	C₂²×C₅	—	2	1	no	—
230	C₂²×C₅	C₂×M₁₆	1	2	yes	—
231	C₂²×C₅	C₂³×C₄	1	1	yes	characteristic
232	C₂×D₅	—	2	1	no	—
233	C₂×D₅	—	2	1	no	—
234	C₂×D₅	—	2	1	no	—
235	C₂×D₅	—	2	1	no	—
236	C₂×D₅	—	2	1	no	—
237	C₂×D₅	—	2	1	no	—
238	C₂×D₅	—	2	1	no	—
239	C₂×D₅	—	4	4	no	—
240	C₂×D₅	—	4	4	no	—
241	C₂×D₅	C₂×M₁₆	1	2	yes	—
242	C₂×D₅	C₂×M₁₆	1	2	yes	—
243	C₄×C₅	—	2	1	no	—
244	C₄×C₅	—	2	1	no	—
245	C₄×C₅	—	2	1	no	—
246	C₄×C₅	—	2	1	no	—
247	C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
248	C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
249	Dic₅	—	2	1	no	—
250	Dic₅	—	2	1	no	—
251	Dic₅	—	2	1	no	—
252	Dic₅	—	2	1	no	—
253	Dic₅	—	2	1	no	—
254	C₂⁴	—	5	1	no	—
255	C₂⁴	—	5	1	no	—
256	C₂×D₄	—	5	1	no	—
257	C₂×D₄	—	5	1	no	—
258	C₂×D₄	—	5	1	no	—
259	C₂×D₄	—	10	4	no	—
260	C₂×D₄	C₄×D₅	1	1	yes	characteristic
261	C₂²×C₄	—	5	1	no	—
262	C₂²×C₄	—	5	1	no	—
263	C₂²×C₄	—	5	1	no	—
264	C₂²×C₄	—	5	1	no	—
265	C₂²×C₄	—	5	1	no	—
266	C₂²×C₄	—	5	1	no	—
267	C₂²×C₄	—	5	1	no	—
268	C₂²×C₄	—	5	1	no	—
269	C₂²×C₄	—	5	1	no	—
270	C₂²×C₄	—	5	1	no	—
271	C₂²×C₄	—	5	1	no	—
272	C₂²×C₄	—	20	1	no	—
273	C₂²×C₄	—	20	1	no	—
274	C₂²×C₄	—	20	1	no	—
275	C₂²×C₄	—	20	1	no	—
276	C₂²×C₄	C₂²×D₅	1	1	yes	characteristic
277	C₂²×C₄	C₂²×D₅	1	1	yes	characteristic
278	M₁₆	—	4	1	no	—
279	M₁₆	—	20	1	no	—
280	M₁₆	—	20	1	no	—
281	M₁₆	—	20	1	no	—
282	C₂×C₈	—	4	1	no	—
283	C₂×C₈	—	5	1	no	—
284	C₂×C₈	—	5	1	no	—
285	C₂×C₈	—	5	1	no	—
286	C₂×C₈	—	5	1	no	—
287	C₂×C₈	—	20	1	no	—
288	C₂×C₈	—	20	1	no	—
289	C₂×C₈	—	20	1	no	—
290	C₂×C₈	C₂²×D₅	1	1	yes	characteristic
291	C₂×C₈	C₂²×D₅	1	1	yes	characteristic
292	C₂×C₈	C₂²×D₅	1	1	yes	characteristic
293	C₂×C₈	C₂²×D₅	1	1	yes	characteristic
294	C₄⋊C₄	—	5	1	no	—
295	C₄⋊C₄	—	5	1	no	—
296	C₄⋊C₄	—	5	1	no	—
297	C₄⋊C₄	C₄×D₅	1	1	yes	characteristic
298	C₂²⋊C₄	—	5	1	no	—
299	C₂²⋊C₄	—	5	1	no	—
300	C₂²⋊C₄	—	5	1	no	—
301	C₂²⋊C₄	—	5	1	no	—
302	C₂²⋊C₄	—	5	1	no	—
303	C₂²⋊C₄	—	5	1	no	—
304	C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
305	C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
306	C₄²	—	5	1	no	—
307	C₄²	—	5	1	no	—
308	C₄²	—	5	1	no	—
309	C₄²	C₂²×D₅	1	1	yes	characteristic
310	C₂×C₅	—	2	2	no	—
311	C₂×C₅	—	4	1	no	—
312	C₂×C₅	#518	1	1	yes	characteristic
313	C₂×C₅	C₂²×M₁₆	1	1	yes	characteristic
314	C₂×C₅	#568	1	1	yes	characteristic
315	D₅	—	2	2	no	—
316	D₅	—	2	2	no	—
317	D₅	—	4	1	no	—
318	C₂³	—	5	1	no	—
319	C₂³	—	5	1	no	—
320	C₂³	—	5	4	no	—
321	C₂³	—	5	1	no	—
322	C₂³	—	10	2	no	—
323	C₂³	—	20	1	no	—
324	C₂³	—	20	1	no	—
325	C₂³	—	20	1	no	—
326	C₂³	—	20	1	no	—
327	C₂³	C₂×C₄×D₅	1	1	yes	characteristic
328	C₂³	C₂×C₄×D₅	1	1	yes	characteristic
329	D₄	—	2	2	no	—
330	D₄	—	10	2	no	—
331	D₄	—	10	2	no	—
332	D₄	—	10	2	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	5	1	no	—
338	C₂×C₄	—	5	1	no	—
339	C₂×C₄	—	5	1	no	—
340	C₂×C₄	—	5	1	no	—
341	C₂×C₄	—	5	1	no	—
342	C₂×C₄	—	10	2	no	—
343	C₂×C₄	—	10	1	no	—
344	C₂×C₄	—	10	1	no	—
345	C₂×C₄	—	10	1	no	—
346	C₂×C₄	—	10	1	no	—
347	C₂×C₄	—	10	1	no	—
348	C₂×C₄	—	10	1	no	—
349	C₂×C₄	—	20	1	no	—
350	C₂×C₄	—	20	1	no	—
351	C₂×C₄	—	20	1	no	—
352	C₂×C₄	—	20	1	no	—
353	C₂×C₄	—	20	1	no	—
354	C₂×C₄	—	20	1	no	—
355	C₂×C₄	—	20	1	no	—
356	C₂×C₄	C₂×C₄×D₅	1	1	yes	characteristic
357	C₂×C₄	C₂×C₄×D₅	1	1	yes	characteristic
358	C₂×C₄	C₂×C₄×D₅	1	1	yes	characteristic
359	C₂×C₄	C₂×C₄×D₅	1	1	yes	characteristic
360	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
361	C₈	—	2	1	no	—
362	C₈	—	2	1	no	—
363	C₈	—	2	1	no	—
364	C₈	—	2	1	no	—
365	C₈	—	10	1	no	—
366	C₈	—	10	1	no	—
367	C₈	—	10	1	no	—
368	C₈	—	10	1	no	—
369	C₅	#2973	1	1	yes	characteristic, complemented, Sylow
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	5	2	no	—
376	C₂²	—	5	2	no	—
377	C₂²	—	10	1	no	—
378	C₂²	—	10	1	no	—
379	C₂²	—	10	1	no	—
380	C₂²	—	10	1	no	—
381	C₂²	—	10	1	no	—
382	C₂²	—	10	1	no	—
383	C₂²	—	10	1	no	—
384	C₂²	—	20	4	no	—
385	C₂²	—	20	4	no	—
386	C₂²	D₅×M₁₆	1	2	yes	—
387	C₂²	C₂²×C₄×D₅	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	10	1	no	—
393	C₄	—	10	1	no	—
394	C₄	—	10	1	no	—
395	C₄	—	10	1	no	—
396	C₄	—	10	1	no	—
397	C₄	#4144	1	1	yes	characteristic
398	C₄	#4149	1	1	yes	characteristic
399	C₂	—	2	2	no	—
400	C₂	—	4	1	no	—
401	C₂	—	10	2	no	—
402	C₂	—	10	2	no	—
403	C₂	—	20	1	no	—
404	C₂	#65879	1	1	yes	characteristic
405	C₂	C₂×D₅×M₁₆	1	1	yes	characteristic
406	C₂	#66084	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×D₅
commutator, socle	C₂²×C₅	C₂³×C₄
Fitting	C₅×#435	C₂
prime radical	C₂×D₄×D₅	C₄
cosocle	C₂×C₄×C₅	C₂⁴
hypercenter	#435	D₅
hypocenter	C₅	#2973
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #435

Complements

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

N	H ≅ G/N	type
2. C₅×#435	C₂	semidirect
3. #65416	C₂	semidirect
4. #65415	C₂	semidirect
5. #65400	C₂	semidirect
6. C₂×#3952	C₂	semidirect
7. #65300	C₂	semidirect
8. #65125	C₂	semidirect
9. #65124	C₂	semidirect
10. #65019	C₂	semidirect
11. #65017	C₂	semidirect
12. #65015	C₂	semidirect
13. D₅×C₂²⋊C₈	C₂	semidirect
14. #64995	C₂	semidirect
15. #64994	C₂	semidirect
19. C₂×C₅×M₁₆	C₂²	semidirect
20. C₂²×C₅×C₈	C₂²	semidirect
25. C₂×#681	C₂²	semidirect
26. C₂²×#168	C₂²	semidirect
27. C₂×#676	C₂²	semidirect
28. C₂×#676	C₂²	semidirect
29. C₂×C₈×D₅	C₂²	semidirect
30. C₂×C₈×D₅	C₂²	semidirect
39. C₅×C₄⋊C₈	C₂²	semidirect
40. C₅×C₂²⋊C₈	C₂²	semidirect
41. C₅×C₂²⋊C₈	C₂²	semidirect
42. C₅×#97	C₂²	semidirect
43. C₂²⋊#168	C₂²	semidirect
44. C₂²⋊#168	C₂²	semidirect
49. #3952	C₂²	semidirect
50. #3952	C₂²	semidirect
51. #3952	C₂²	semidirect
52. #3952	C₂²	semidirect
53. #3947	C₂²	semidirect
54. #3947	C₂²	semidirect
55. #3946	C₂²	semidirect
56. #3946	C₂²	semidirect
57. C₄⋊#168	C₂²	semidirect
58. #3935	C₂²	semidirect
124. #435	D₅	semidirect
138. C₂²×D₅	M₁₆	semidirect
188. C₂×M₁₆	C₂×D₅	semidirect
192. C₂²×C₈	C₂×D₅	semidirect
208. C₄⋊C₈	C₂×D₅	semidirect
219. C₂²⋊C₈	C₂×D₅	semidirect
220. C₂²⋊C₈	C₂×D₅	semidirect
224. #97	C₂×D₅	semidirect
369. C₅	#2973	semidirect

Maximal subgroups

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

subgroup	index
C₄×D₄×D₅	2
C₅×#435	2
#65416	2
#65415	2
#65400	2
C₂×#3952	2
#65300	2
#65125	2
#65124	2
#65019	2
#65017	2
#65015	2
D₅×C₂²⋊C₈	2
#64995	2
#64994	2
#2973	5