Subgroups — #12120041

Order 1280.

1058 conjugacy classes of subgroups.

The subgroup lattice has 868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3002	C₂	1	1	yes	maximal, characteristic
2	C₂²×#3969	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615806	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#65486	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614649	C₂	1	1	yes	maximal, characteristic, complemented
6	#10602880	C₂	1	1	yes	maximal, characteristic, complemented
7	#10602880	C₂	1	1	yes	maximal, characteristic, complemented
8	#10602878	C₂	1	1	yes	maximal, characteristic, complemented
9	#10602504	C₂	1	1	yes	maximal, characteristic, complemented
10	#10601085	C₂	1	1	yes	maximal, characteristic, complemented
11	#10601084	C₂	1	1	yes	maximal, characteristic, complemented
12	#10601083	C₂	1	1	yes	maximal, characteristic, complemented
13	#10601081	C₂	1	1	yes	maximal, characteristic, complemented
14	#10600747	C₂	1	1	yes	maximal, characteristic, complemented
15	#10600699	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
17	C₂×C₅×#135	C₂²	1	1	yes	characteristic
18	C₂×C₅×#135	C₂²	1	1	yes	characteristic
19	C₅×#525	C₂²	1	1	yes	characteristic
20	C₂×#4094	C₂²	1	1	yes	characteristic
21	C₂×#4094	C₂²	1	1	yes	characteristic
22	C₂×#4094	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic
24	C₂²×#681	C₂²	1	1	yes	characteristic
25	C₅×#452	C₄	1	1	yes	characteristic, complemented
26	C₅×#452	C₄	1	1	yes	characteristic, complemented
27	C₅×#451	C₄	1	1	yes	characteristic, complemented
28	C₅×#450	C₄	1	1	yes	characteristic, complemented
29	C₅×#449	C₄	1	1	yes	characteristic, complemented
30	C₅×#449	C₄	1	1	yes	characteristic, complemented
31	C₅×#448	C₄	1	1	yes	characteristic, complemented
32	C₅×#447	C₄	1	1	yes	characteristic, complemented
33	C₅×#416	C₂²	1	1	yes	characteristic
34	C₅×#416	C₂²	1	1	yes	characteristic
35	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
36	C₂×#3969	—	2	4	no	—
37	C₂×#3969	C₂²	1	1	yes	characteristic
38	C₂×#3969	C₂²	1	1	yes	characteristic
39	C₂×#3969	C₂²	1	1	yes	characteristic
40	C₂×#3969	C₂²	1	1	yes	characteristic
41	C₂×#3969	C₂²	1	1	yes	characteristic, complemented
42	C₂×#3969	C₂²	1	1	yes	characteristic, complemented
43	#65523	—	2	1	no	—
44	#65523	—	2	1	no	—
45	#65523	C₂²	1	1	yes	characteristic
46	#65523	C₂²	1	1	yes	characteristic
47	#65523	C₂²	1	1	yes	characteristic, complemented
48	#65496	—	2	1	no	—
49	#65496	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊#168	—	2	1	no	—
51	C₂×C₂²⋊#168	C₂²	1	1	yes	characteristic
52	#65486	—	2	4	no	—
53	C₂×#3951	C₂²	1	1	yes	characteristic, complemented
54	C₂×#3951	C₂²	1	1	yes	characteristic, complemented
55	C₂×#3947	C₂²	1	1	yes	characteristic, complemented
56	C₂×#3947	C₂²	1	1	yes	characteristic, complemented
57	#65301	—	2	1	no	—
58	#65300	—	2	1	no	—
59	#65300	—	2	1	no	—
60	D₄×#168	—	2	1	no	—
61	#65288	C₂²	1	1	yes	characteristic, complemented
62	#65286	C₂²	1	1	yes	characteristic, complemented
63	#64772	C₂²	1	1	yes	characteristic, complemented
64	#64772	C₂²	1	1	yes	characteristic, complemented
65	#64770	C₂²	1	1	yes	characteristic, complemented
66	#64770	C₂²	1	1	yes	characteristic, complemented
67	#64752	C₂²	1	1	yes	characteristic, complemented
68	#64752	C₂²	1	1	yes	characteristic, complemented
69	#22886	—	5	1	no	maximal, Sylow
70	C₂×C₅×#41	—	2	1	no	—
71	C₂×C₅×#41	—	2	1	no	—
72	C₂×C₅×#41	—	2	2	no	—
73	C₂×C₅×#41	—	2	2	no	—
74	C₂×C₅×#41	—	4	1	no	—
75	C₂×C₅×#41	—	4	1	no	—
76	C₂×C₅×#41	C₂×C₄	1	1	yes	characteristic
77	C₂×C₅×#41	C₂×C₄	1	1	yes	characteristic
78	C₂×C₅×#41	C₂³	1	1	yes	characteristic
79	C₂×C₅×#41	C₂³	1	1	yes	characteristic
80	C₂×C₅×#41	C₂³	1	1	yes	characteristic
81	C₂²×C₅×Q₈	C₂×C₄	1	1	yes	characteristic
82	C₂²×C₅×D₄	—	2	1	no	—
83	C₂²×C₅×D₄	C₂×C₄	1	1	yes	characteristic
84	C₂³×C₄×C₅	—	2	1	no	—
85	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
86	C₂³×Dic₅	—	2	1	no	—
87	C₅×#135	—	2	2	no	—
88	C₅×#135	—	2	2	no	—
89	C₅×#135	—	4	1	no	—
90	C₅×#135	—	4	1	no	—
91	C₂×C₅×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
92	C₂×C₅×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
93	C₂×C₅×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
94	C₂×C₅×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
95	C₂×C₅×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
96	C₂×C₅×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
97	C₂×C₅×D₈	C₂×C₄	1	1	yes	characteristic, complemented
98	C₂×C₅×D₈	C₂×C₄	1	1	yes	characteristic, complemented
99	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
100	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
101	C₅×#123	—	2	1	no	—
102	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
103	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
104	C₅×#121	C₂×C₄	1	1	yes	characteristic
105	C₅×#121	C₂×C₄	1	1	yes	characteristic
106	C₅×#120	—	2	1	no	—
107	C₄×C₅×D₄	—	2	1	no	—
108	C₄×C₅×D₄	—	2	1	no	—
109	C₅×#117	C₂³	1	1	yes	characteristic
110	#4094	—	2	2	no	—
111	#4094	—	2	2	no	—
112	#4094	—	2	2	no	—
113	#4094	—	4	1	no	—
114	#4094	—	4	1	no	—
115	#4094	—	4	1	no	—
116	C₂×C₄×Dic₅	—	2	2	no	—
117	C₂×C₄×Dic₅	—	2	1	no	—
118	C₂×C₄×Dic₅	—	4	1	no	—
119	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
120	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
121	C₂×#681	—	2	1	no	—
122	C₂×#681	—	2	1	no	—
123	C₂×#681	—	2	1	no	—
124	C₂×#681	—	2	1	no	—
125	C₂×#681	—	2	2	no	—
126	C₂×#681	—	4	1	no	—
127	C₂×#681	C₂³	1	1	yes	characteristic
128	C₂×#681	C₂³	1	1	yes	characteristic
129	C₂×#681	C₂³	1	1	yes	characteristic
130	C₂×#681	C₂³	1	1	yes	characteristic
131	C₂²×#168	—	2	1	no	—
132	C₂²×#168	—	2	1	no	—
133	C₂²×#168	—	2	1	no	—
134	C₂²×#168	—	2	1	no	—
135	C₂²×#168	C₂³	1	1	yes	characteristic
136	C₂²×#168	C₂³	1	1	yes	characteristic
137	C₅×#103	C₂×C₄	1	1	yes	characteristic, complemented
138	C₅×#103	C₂×C₄	1	1	yes	characteristic, complemented
139	C₅×#103	C₂×C₄	1	1	yes	characteristic, complemented
140	C₅×#103	C₂×C₄	1	1	yes	characteristic, complemented
141	C₅×#102	C₂×C₄	1	1	yes	characteristic, complemented
142	C₅×#102	C₂×C₄	1	1	yes	characteristic, complemented
143	C₅×#102	C₂×C₄	1	1	yes	characteristic, complemented
144	C₅×#102	C₂×C₄	1	1	yes	characteristic, complemented
145	C₅×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
146	C₅×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
147	C₅×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
148	C₅×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
149	#3969	—	2	2	no	—
150	#3969	—	2	2	no	—
151	#3969	—	2	2	no	—
152	#3969	—	2	2	no	—
153	#3969	—	4	1	no	—
154	#3969	D₄	1	4	yes	complemented
155	C₂²⋊#168	—	2	1	no	—
156	C₂²⋊#168	—	2	1	no	—
157	C₂²⋊#168	—	2	1	no	—
158	C₂²⋊#168	—	2	1	no	—
159	C₂²⋊#168	—	2	1	no	—
160	C₂²⋊#168	—	2	1	no	—
161	C₂²⋊#168	—	2	1	no	—
162	C₂²⋊#168	—	2	1	no	—
163	C₂²⋊#168	D₄	1	1	yes	characteristic
164	C₂²⋊#168	D₄	1	1	yes	characteristic
165	C₂²⋊#168	D₄	1	1	yes	characteristic
166	C₂²⋊#168	D₄	1	1	yes	characteristic
167	#3951	—	2	2	no	—
168	#3951	—	4	1	no	—
169	#3947	—	2	2	no	—
170	#3947	—	4	1	no	—
171	C₄⋊#168	—	2	1	no	—
172	C₄⋊#168	—	2	1	no	—
173	#3935	—	2	1	no	—
174	C₄×#168	—	2	1	no	—
175	#3002	D₅	1	1	yes	characteristic
176	C₂×#444	—	5	1	no	—
177	#2933	—	5	1	no	—
178	C₂²×#104	—	5	1	no	—
179	#2880	—	5	1	no	—
180	#1975	—	5	1	no	—
181	#1938	—	5	1	no	—
182	#1929	—	5	1	no	—
183	#1896	—	5	1	no	—
184	#1876	—	5	1	no	—
185	#1876	—	5	1	no	—
186	#1866	—	5	1	no	—
187	#1855	—	5	1	no	—
188	#1765	—	5	1	no	—
189	#1749	—	5	1	no	—
190	C₂⁴×C₅	—	2	1	no	—
191	C₂⁴×C₅	#41	1	1	yes	characteristic
192	C₅×#41	—	2	1	no	—
193	C₅×#41	—	2	1	no	—
194	C₅×#41	—	2	2	no	—
195	C₅×#41	—	2	2	no	—
196	C₅×#41	—	2	1	no	—
197	C₅×#41	—	2	1	no	—
198	C₅×#41	—	2	1	no	—
199	C₅×#41	—	2	1	no	—
200	C₅×#41	—	2	1	no	—
201	C₅×#41	—	2	1	no	—
202	C₅×#41	—	2	1	no	—
203	C₅×#41	—	2	1	no	—
204	C₅×#41	—	4	2	no	—
205	C₅×#41	—	4	2	no	—
206	C₅×#41	—	4	1	no	—
207	C₅×#41	—	4	1	no	—
208	C₅×#41	—	4	2	no	—
209	C₅×#41	—	4	2	no	—
210	C₅×#41	C₂×D₄	1	2	yes	—
211	C₅×#41	#41	1	2	yes	—
212	C₂×C₅×Q₈	—	2	1	no	—
213	C₂×C₅×Q₈	—	2	2	no	—
214	C₂×C₅×Q₈	—	4	1	no	—
215	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
216	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
217	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
218	C₂×C₅×D₄	—	2	1	no	—
219	C₂×C₅×D₄	—	2	2	no	—
220	C₂×C₅×D₄	—	2	1	no	—
221	C₂×C₅×D₄	—	2	1	no	—
222	C₂×C₅×D₄	—	2	1	no	—
223	C₂×C₅×D₄	—	2	1	no	—
224	C₂×C₅×D₄	—	2	1	no	—
225	C₂×C₅×D₄	—	2	1	no	—
226	C₂×C₅×D₄	—	2	1	no	—
227	C₂×C₅×D₄	—	4	1	no	—
228	C₂×C₅×D₄	—	4	2	no	—
229	C₂×C₅×D₄	—	4	2	no	—
230	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
231	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
232	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
233	C₂²×C₄×C₅	—	2	1	no	—
234	C₂²×C₄×C₅	—	2	1	no	—
235	C₂²×C₄×C₅	—	2	1	no	—
236	C₂²×C₄×C₅	—	2	1	no	—
237	C₂²×C₄×C₅	—	2	1	no	—
238	C₂²×C₄×C₅	—	2	1	no	—
239	C₂²×C₄×C₅	—	2	1	no	—
240	C₂²×C₄×C₅	—	2	1	no	—
241	C₂²×C₄×C₅	—	2	1	no	—
242	C₂²×C₄×C₅	—	2	1	no	—
243	C₂²×C₄×C₅	—	4	2	no	—
244	C₂²×C₄×C₅	—	4	2	no	—
245	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
246	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
247	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
248	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
249	C₂²×C₄×C₅	#41	1	1	yes	characteristic
250	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
251	C₂²×Dic₅	—	2	1	no	—
252	C₂²×Dic₅	—	2	1	no	—
253	C₂²×Dic₅	—	4	2	no	—
254	C₂²×Dic₅	—	4	2	no	—
255	C₂²×Dic₅	—	4	2	no	—
256	C₅×Q₁₆	—	2	2	no	—
257	C₅×Q₁₆	—	4	1	no	—
258	C₅×SD₁₆	—	2	2	no	—
259	C₅×SD₁₆	—	2	2	no	—
260	C₅×SD₁₆	—	4	1	no	—
261	C₅×SD₁₆	—	4	1	no	—
262	C₅×D₈	—	2	2	no	—
263	C₅×D₈	—	4	1	no	—
264	C₂×C₅×C₈	—	2	1	no	—
265	C₂×C₅×C₈	—	2	1	no	—
266	C₂×C₅×C₈	—	2	1	no	—
267	C₂×C₅×C₈	—	2	1	no	—
268	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
269	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
270	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
271	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
272	C₅×C₄⋊C₄	—	2	1	no	—
273	C₅×C₄⋊C₄	—	2	1	no	—
274	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
275	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
276	C₅×C₂²⋊C₄	—	2	1	no	—
277	C₅×C₂²⋊C₄	—	2	1	no	—
278	C₅×C₂²⋊C₄	—	2	1	no	—
279	C₅×C₂²⋊C₄	—	2	1	no	—
280	C₅×C₂²⋊C₄	—	2	1	no	—
281	C₄²×C₅	—	2	1	no	—
282	C₄×Dic₅	—	2	1	no	—
283	C₄×Dic₅	—	2	1	no	—
284	C₄×Dic₅	—	2	1	no	—
285	C₄×Dic₅	—	4	2	no	—
286	C₄×Dic₅	C₂×D₄	1	2	yes	—
287	#681	—	2	1	no	—
288	#681	—	2	1	no	—
289	#681	—	2	1	no	—
290	#681	—	2	1	no	—
291	#681	—	2	1	no	—
292	#681	—	2	1	no	—
293	#681	—	2	1	no	—
294	#681	—	4	2	no	—
295	#681	—	4	2	no	—
296	#681	—	4	2	no	—
297	#681	—	4	2	no	—
298	#681	C₂×D₄	1	2	yes	—
299	C₂×#168	—	2	1	no	—
300	C₂×#168	—	2	1	no	—
301	C₂×#168	—	2	1	no	—
302	C₂×#168	—	2	1	no	—
303	C₂×#168	—	2	1	no	—
304	C₂×#168	—	2	1	no	—
305	C₂×#168	—	2	1	no	—
306	C₂×#168	—	2	1	no	—
307	C₂×#168	—	4	2	no	—
308	C₂×#168	—	4	2	no	—
309	C₂×#168	—	4	2	no	—
310	C₂×#168	—	4	2	no	—
311	C₂×#168	C₂×D₄	1	1	yes	characteristic
312	C₂×#168	C₂×D₄	1	1	yes	characteristic
313	C₂×#168	C₂×D₄	1	1	yes	characteristic
314	C₂×#168	C₂×D₄	1	1	yes	characteristic
315	C₂²×#41	C₂×D₅	1	1	yes	characteristic
316	C₂×#135	C₂×D₅	1	1	yes	characteristic
317	C₂×#135	C₂×D₅	1	1	yes	characteristic
318	C₂×#131	—	5	1	no	—
319	C₂×#131	—	5	1	no	—
320	C₂×#131	—	5	1	no	—
321	C₂²×M₁₆	—	5	1	no	—
322	#525	C₂×D₅	1	1	yes	characteristic
323	C₂²×C₄²	—	5	1	no	—
324	#452	Dic₅	1	1	yes	characteristic, complemented
325	#452	Dic₅	1	1	yes	characteristic, complemented
326	#451	Dic₅	1	1	yes	characteristic, complemented
327	#450	Dic₅	1	1	yes	characteristic, complemented
328	#449	Dic₅	1	1	yes	characteristic, complemented
329	#449	Dic₅	1	1	yes	characteristic, complemented
330	#448	Dic₅	1	1	yes	characteristic, complemented
331	#447	Dic₅	1	1	yes	characteristic, complemented
332	#444	—	10	4	no	—
333	#436	—	10	1	no	—
334	#435	—	10	1	no	—
335	#435	—	10	1	no	—
336	C₈×D₄	—	10	1	no	—
337	C₂×#108	—	5	1	no	—
338	C₂×#108	—	5	1	no	—
339	#424	—	5	1	no	—
340	C₂×#104	—	5	1	no	—
341	C₂×#104	—	5	1	no	—
342	C₂×#104	—	5	1	no	—
343	C₂×#104	—	5	1	no	—
344	C₂×#104	—	5	1	no	—
345	C₂×#104	—	5	1	no	—
346	C₂×#104	—	10	4	no	—
347	#416	C₂×D₅	1	1	yes	characteristic
348	#416	C₂×D₅	1	1	yes	characteristic
349	#408	—	5	1	no	—
350	#408	—	5	1	no	—
351	#408	—	5	1	no	—
352	#408	—	10	1	no	—
353	#408	—	10	1	no	—
354	#407	—	5	1	no	—
355	#407	—	10	1	no	—
356	C₂×C₂²⋊C₈	—	5	1	no	—
357	C₂×C₂²⋊C₈	—	10	1	no	—
358	C₂×C₂²⋊C₈	C₂×D₅	1	1	yes	characteristic
359	#405	—	5	1	no	—
360	C₂×#97	—	5	1	no	—
361	C₂×#97	—	5	1	no	—
362	#341	—	5	1	no	—
363	#341	—	5	1	no	—
364	#339	—	5	1	no	—
365	#339	—	5	1	no	—
366	#336	—	5	1	no	—
367	#336	—	5	1	no	—
368	C₂³×C₅	—	2	1	no	—
369	C₂³×C₅	—	2	1	no	—
370	C₂³×C₅	—	2	1	no	—
371	C₂³×C₅	—	2	2	no	—
372	C₂³×C₅	—	2	1	no	—
373	C₂³×C₅	—	2	1	no	—
374	C₂³×C₅	—	4	1	no	—
375	C₂³×C₅	—	4	2	no	—
376	C₂³×C₅	—	4	2	no	—
377	C₂³×C₅	—	8	1	no	—
378	C₂³×C₅	C₄×D₄	1	1	yes	characteristic
379	C₂³×C₅	C₄×D₄	1	1	yes	characteristic
380	C₂³×C₅	C₂×#41	1	1	yes	characteristic
381	C₅×Q₈	—	2	1	no	—
382	C₅×Q₈	—	2	1	no	—
383	C₅×Q₈	—	2	1	no	—
384	C₅×Q₈	—	2	1	no	—
385	C₅×Q₈	—	2	1	no	—
386	C₅×Q₈	—	4	2	no	—
387	C₅×Q₈	C₄×D₄	1	2	yes	—
388	C₅×D₄	—	2	2	no	—
389	C₅×D₄	—	2	2	no	—
390	C₅×D₄	—	2	1	no	—
391	C₅×D₄	—	2	1	no	—
392	C₅×D₄	—	2	1	no	—
393	C₅×D₄	—	2	1	no	—
394	C₅×D₄	—	2	1	no	—
395	C₅×D₄	—	4	2	no	—
396	C₅×D₄	—	4	2	no	—
397	C₅×D₄	—	4	2	no	—
398	C₅×D₄	—	4	1	no	—
399	C₅×D₄	—	4	1	no	—
400	C₅×D₄	—	4	1	no	—
401	C₅×D₄	—	4	1	no	—
402	C₅×D₄	—	4	2	no	—
403	C₅×D₄	—	8	1	no	—
404	C₅×D₄	C₄×D₄	1	2	yes	—
405	C₂×C₄×C₅	—	2	1	no	—
406	C₂×C₄×C₅	—	2	1	no	—
407	C₂×C₄×C₅	—	2	1	no	—
408	C₂×C₄×C₅	—	2	1	no	—
409	C₂×C₄×C₅	—	2	1	no	—
410	C₂×C₄×C₅	—	2	1	no	—
411	C₂×C₄×C₅	—	2	1	no	—
412	C₂×C₄×C₅	—	2	1	no	—
413	C₂×C₄×C₅	—	2	2	no	—
414	C₂×C₄×C₅	—	2	1	no	—
415	C₂×C₄×C₅	—	2	2	no	—
416	C₂×C₄×C₅	—	2	1	no	—
417	C₂×C₄×C₅	—	2	1	no	—
418	C₂×C₄×C₅	—	2	1	no	—
419	C₂×C₄×C₅	—	2	1	no	—
420	C₂×C₄×C₅	—	2	1	no	—
421	C₂×C₄×C₅	—	2	1	no	—
422	C₂×C₄×C₅	—	4	2	no	—
423	C₂×C₄×C₅	—	4	2	no	—
424	C₂×C₄×C₅	—	4	2	no	—
425	C₂×C₄×C₅	—	4	1	no	—
426	C₂×C₄×C₅	—	4	1	no	—
427	C₂×C₄×C₅	—	4	1	no	—
428	C₂×C₄×C₅	—	4	1	no	—
429	C₂×C₄×C₅	C₄×D₄	1	1	yes	characteristic
430	C₂×C₄×C₅	C₄×D₄	1	1	yes	characteristic
431	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
432	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
433	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
434	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
435	C₂×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
436	C₂×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
437	C₂×Dic₅	—	2	2	no	—
438	C₂×Dic₅	—	2	2	no	—
439	C₂×Dic₅	—	4	1	no	—
440	C₂×Dic₅	—	4	1	no	—
441	C₂×Dic₅	—	4	1	no	—
442	C₂×Dic₅	—	4	8	no	—
443	C₂×Dic₅	—	4	1	no	—
444	C₅×C₈	—	2	1	no	—
445	C₅×C₈	—	2	1	no	—
446	C₅×C₈	—	2	1	no	—
447	C₅×C₈	—	2	1	no	—
448	#168	—	2	1	no	—
449	#168	—	2	1	no	—
450	#168	—	2	2	no	—
451	#168	—	2	1	no	—
452	#168	—	2	1	no	—
453	#168	—	4	1	no	—
454	#168	—	4	1	no	—
455	#168	—	4	1	no	—
456	C₂×#41	—	2	1	no	—
457	C₂×#41	—	2	1	no	—
458	C₂×#41	—	2	2	no	—
459	C₂×#41	—	2	2	no	—
460	C₂×#41	—	4	1	no	—
461	C₂×#41	—	4	1	no	—
462	C₂×#41	C₂×Dic₅	1	1	yes	characteristic
463	C₂×#41	C₂×Dic₅	1	1	yes	characteristic
464	C₂×#41	C₂²×D₅	1	1	yes	characteristic
465	C₂×#41	C₂²×D₅	1	1	yes	characteristic
466	C₂×#41	C₂²×D₅	1	1	yes	characteristic
467	C₂²×Q₈	C₂×Dic₅	1	1	yes	characteristic
468	C₂²×D₄	—	2	1	no	—
469	C₂²×D₄	C₂×Dic₅	1	1	yes	characteristic
470	C₂³×C₄	—	2	1	no	—
471	C₂³×C₄	—	10	1	no	—
472	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
473	#135	—	2	2	no	—
474	#135	—	2	2	no	—
475	#135	—	4	1	no	—
476	#135	—	4	1	no	—
477	C₂×Q₁₆	C₂×Dic₅	1	1	yes	characteristic, complemented
478	C₂×Q₁₆	C₂×Dic₅	1	1	yes	characteristic, complemented
479	C₂×SD₁₆	C₂×Dic₅	1	1	yes	characteristic, complemented
480	C₂×SD₁₆	C₂×Dic₅	1	1	yes	characteristic, complemented
481	C₂×SD₁₆	C₂×Dic₅	1	1	yes	characteristic, complemented
482	C₂×SD₁₆	C₂×Dic₅	1	1	yes	characteristic, complemented
483	C₂×D₈	C₂×Dic₅	1	1	yes	characteristic, complemented
484	C₂×D₈	C₂×Dic₅	1	1	yes	characteristic, complemented
485	#131	—	10	2	no	—
486	#131	—	10	2	no	—
487	#131	—	10	2	no	—
488	#131	—	20	1	no	—
489	#131	—	20	1	no	—
490	#131	—	20	1	no	—
491	C₂×M₁₆	—	5	1	no	—
492	C₂×M₁₆	—	5	1	no	—
493	C₂×M₁₆	—	5	1	no	—
494	C₂×M₁₆	—	5	1	no	—
495	C₂×M₁₆	—	10	1	no	—
496	C₂×M₁₆	—	10	1	no	—
497	C₂×M₁₆	—	10	1	no	—
498	C₂×M₁₆	—	10	1	no	—
499	C₂×M₁₆	—	10	2	no	—
500	C₂×M₁₆	—	20	1	no	—
501	C₂²×C₈	—	5	1	no	—
502	C₂²×C₈	—	5	1	no	—
503	C₂²×C₈	—	10	1	no	—
504	C₂²×C₈	—	10	1	no	—
505	C₂²×C₈	—	10	1	no	—
506	C₂²×C₈	—	10	1	no	—
507	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
508	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
509	#123	—	2	1	no	—
510	C₂²⋊Q₈	C₂×Dic₅	1	1	yes	characteristic
511	C₂²⋊Q₈	C₂×Dic₅	1	1	yes	characteristic
512	#121	C₂×Dic₅	1	1	yes	characteristic
513	#121	C₂×Dic₅	1	1	yes	characteristic
514	#120	—	2	1	no	—
515	C₄×D₄	—	2	1	no	—
516	C₄×D₄	—	2	1	no	—
517	#117	C₂²×D₅	1	1	yes	characteristic
518	C₂×C₄²	—	5	1	no	—
519	C₂×C₄²	—	5	1	no	—
520	C₂×C₄²	—	10	2	no	—
521	C₂×C₄²	—	10	1	no	—
522	C₂×C₄²	—	20	1	no	—
523	#108	—	10	2	no	—
524	#108	—	20	1	no	—
525	C₄⋊C₈	—	10	1	no	—
526	C₄⋊C₈	—	10	1	no	—
527	#104	—	5	4	no	—
528	#104	—	10	2	no	—
529	#104	—	10	2	no	—
530	#104	—	10	2	no	—
531	#104	—	10	2	no	—
532	#104	—	20	1	no	—
533	#103	C₂×Dic₅	1	1	yes	characteristic, complemented
534	#103	C₂×Dic₅	1	1	yes	characteristic, complemented
535	#103	C₂×Dic₅	1	1	yes	characteristic, complemented
536	#103	C₂×Dic₅	1	1	yes	characteristic, complemented
537	#102	C₂×Dic₅	1	1	yes	characteristic, complemented
538	#102	C₂×Dic₅	1	1	yes	characteristic, complemented
539	#102	C₂×Dic₅	1	1	yes	characteristic, complemented
540	#102	C₂×Dic₅	1	1	yes	characteristic, complemented
541	C₂²⋊C₈	—	5	1	no	—
542	C₂²⋊C₈	—	5	1	no	—
543	C₂²⋊C₈	—	5	1	no	—
544	C₂²⋊C₈	—	5	1	no	—
545	C₂²⋊C₈	—	10	1	no	—
546	C₂²⋊C₈	—	10	1	no	—
547	C₂²⋊C₈	—	10	1	no	—
548	C₂²⋊C₈	—	10	1	no	—
549	C₂²⋊C₈	—	10	1	no	—
550	C₂²⋊C₈	—	10	1	no	—
551	C₂²⋊C₈	—	10	1	no	—
552	C₂²⋊C₈	—	10	1	no	—
553	C₂²⋊C₈	C₂×Dic₅	1	1	yes	characteristic
554	C₂²⋊C₈	C₂×Dic₅	1	1	yes	characteristic
555	C₂²⋊C₈	C₂×Dic₅	1	1	yes	characteristic
556	C₂²⋊C₈	C₂×Dic₅	1	1	yes	characteristic
557	#97	—	10	1	no	—
558	#97	—	10	2	no	—
559	#97	—	20	1	no	—
560	C₄×C₈	—	10	1	no	—
561	C₂²×C₅	—	2	1	no	—
562	C₂²×C₅	—	2	1	no	—
563	C₂²×C₅	—	2	1	no	—
564	C₂²×C₅	—	2	1	no	—
565	C₂²×C₅	—	2	1	no	—
566	C₂²×C₅	—	2	2	no	—
567	C₂²×C₅	—	2	1	no	—
568	C₂²×C₅	—	2	1	no	—
569	C₂²×C₅	—	4	2	no	—
570	C₂²×C₅	—	4	2	no	—
571	C₂²×C₅	—	4	1	no	—
572	C₂²×C₅	—	4	1	no	—
573	C₂²×C₅	—	4	1	no	—
574	C₂²×C₅	—	4	1	no	—
575	C₂²×C₅	—	4	1	no	—
576	C₂²×C₅	—	4	1	no	—
577	C₂²×C₅	—	4	1	no	—
578	C₂²×C₅	—	4	1	no	—
579	C₂²×C₅	—	8	4	no	—
580	C₂²×C₅	#444	1	2	yes	complemented
581	C₂²×C₅	C₂×C₄×D₄	1	1	yes	characteristic
582	C₂²×C₅	#546	1	1	yes	characteristic
583	C₂²×C₅	#551	1	1	yes	characteristic
584	C₄×C₅	—	2	1	no	—
585	C₄×C₅	—	2	1	no	—
586	C₄×C₅	—	2	2	no	—
587	C₄×C₅	—	4	1	no	—
588	C₄×C₅	—	4	1	no	—
589	C₄×C₅	—	4	1	no	—
590	C₄×C₅	—	4	1	no	—
591	C₄×C₅	C₂×C₄×D₄	1	1	yes	characteristic
592	C₄×C₅	#518	1	1	yes	characteristic
593	C₄×C₅	D₄²	1	1	yes	characteristic
594	C₄×C₅	#546	1	1	yes	characteristic
595	Dic₅	—	4	2	no	—
596	Dic₅	—	4	2	no	—
597	C₂⁴	—	2	1	no	—
598	C₂⁴	#711	1	1	yes	characteristic
599	#41	—	2	1	no	—
600	#41	—	2	1	no	—
601	#41	—	2	2	no	—
602	#41	—	2	2	no	—
603	#41	—	2	1	no	—
604	#41	—	2	1	no	—
605	#41	—	2	1	no	—
606	#41	—	2	1	no	—
607	#41	—	2	1	no	—
608	#41	—	2	1	no	—
609	#41	—	2	1	no	—
610	#41	—	2	1	no	—
611	#41	—	4	2	no	—
612	#41	—	4	2	no	—
613	#41	—	4	1	no	—
614	#41	—	4	1	no	—
615	#41	—	4	2	no	—
616	#41	—	4	2	no	—
617	#41	D₄×D₅	1	2	yes	—
618	#41	#711	1	2	yes	—
619	C₂×Q₈	—	2	1	no	—
620	C₂×Q₈	—	2	2	no	—
621	C₂×Q₈	—	4	1	no	—
622	C₂×Q₈	C₂²×Dic₅	1	1	yes	characteristic
623	C₂×Q₈	C₂²×Dic₅	1	1	yes	characteristic
624	C₂×Q₈	C₂²×Dic₅	1	1	yes	characteristic
625	C₂×D₄	—	2	1	no	—
626	C₂×D₄	—	2	2	no	—
627	C₂×D₄	—	2	1	no	—
628	C₂×D₄	—	2	1	no	—
629	C₂×D₄	—	2	1	no	—
630	C₂×D₄	—	2	1	no	—
631	C₂×D₄	—	2	1	no	—
632	C₂×D₄	—	2	1	no	—
633	C₂×D₄	—	2	1	no	—
634	C₂×D₄	—	4	1	no	—
635	C₂×D₄	—	4	2	no	—
636	C₂×D₄	—	4	2	no	—
637	C₂×D₄	C₂²×Dic₅	1	1	yes	characteristic
638	C₂×D₄	C₂²×Dic₅	1	1	yes	characteristic
639	C₂×D₄	C₂²×Dic₅	1	1	yes	characteristic
640	C₂²×C₄	—	2	1	no	—
641	C₂²×C₄	—	2	1	no	—
642	C₂²×C₄	—	2	1	no	—
643	C₂²×C₄	—	2	1	no	—
644	C₂²×C₄	—	2	1	no	—
645	C₂²×C₄	—	2	1	no	—
646	C₂²×C₄	—	2	1	no	—
647	C₂²×C₄	—	2	1	no	—
648	C₂²×C₄	—	2	1	no	—
649	C₂²×C₄	—	2	1	no	—
650	C₂²×C₄	—	4	2	no	—
651	C₂²×C₄	—	4	2	no	—
652	C₂²×C₄	—	10	1	no	—
653	C₂²×C₄	—	10	1	no	—
654	C₂²×C₄	—	20	2	no	—
655	C₂²×C₄	—	20	2	no	—
656	C₂²×C₄	—	20	2	no	—
657	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
658	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
659	C₂²×C₄	#711	1	1	yes	characteristic
660	C₂²×C₄	C₂²×Dic₅	1	1	yes	characteristic
661	C₂²×C₄	C₂²×Dic₅	1	1	yes	characteristic
662	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
663	Q₁₆	—	2	2	no	—
664	Q₁₆	—	4	1	no	—
665	SD₁₆	—	2	2	no	—
666	SD₁₆	—	2	2	no	—
667	SD₁₆	—	4	1	no	—
668	SD₁₆	—	4	1	no	—
669	D₈	—	2	2	no	—
670	D₈	—	4	1	no	—
671	M₁₆	—	5	2	no	—
672	M₁₆	—	10	1	no	—
673	M₁₆	—	10	1	no	—
674	M₁₆	—	10	1	no	—
675	M₁₆	—	10	1	no	—
676	M₁₆	—	10	1	no	—
677	M₁₆	—	10	1	no	—
678	M₁₆	—	10	1	no	—
679	M₁₆	—	20	2	no	—
680	M₁₆	—	20	2	no	—
681	M₁₆	—	20	2	no	—
682	M₁₆	—	20	2	no	—
683	C₂×C₈	—	2	1	no	—
684	C₂×C₈	—	2	1	no	—
685	C₂×C₈	—	2	1	no	—
686	C₂×C₈	—	2	1	no	—
687	C₂×C₈	—	5	1	no	—
688	C₂×C₈	—	5	1	no	—
689	C₂×C₈	—	5	1	no	—
690	C₂×C₈	—	5	1	no	—
691	C₂×C₈	—	10	1	no	—
692	C₂×C₈	—	10	1	no	—
693	C₂×C₈	—	10	1	no	—
694	C₂×C₈	—	10	1	no	—
695	C₂×C₈	—	10	1	no	—
696	C₂×C₈	—	10	1	no	—
697	C₂×C₈	—	10	1	no	—
698	C₂×C₈	—	10	1	no	—
699	C₂×C₈	—	20	2	no	—
700	C₂×C₈	—	20	2	no	—
701	C₂×C₈	—	20	2	no	—
702	C₂×C₈	—	20	2	no	—
703	C₂×C₈	C₂²×Dic₅	1	1	yes	characteristic
704	C₂×C₈	C₂²×Dic₅	1	1	yes	characteristic
705	C₂×C₈	C₂²×Dic₅	1	1	yes	characteristic
706	C₂×C₈	C₂²×Dic₅	1	1	yes	characteristic
707	C₄⋊C₄	—	2	1	no	—
708	C₄⋊C₄	—	2	1	no	—
709	C₄⋊C₄	C₂²×Dic₅	1	1	yes	characteristic
710	C₄⋊C₄	C₂²×Dic₅	1	1	yes	characteristic
711	C₂²⋊C₄	—	2	1	no	—
712	C₂²⋊C₄	—	2	1	no	—
713	C₂²⋊C₄	—	2	1	no	—
714	C₂²⋊C₄	—	2	1	no	—
715	C₂²⋊C₄	—	2	1	no	—
716	C₄²	—	2	1	no	—
717	C₄²	—	5	2	no	—
718	C₄²	—	10	1	no	—
719	C₄²	—	10	1	no	—
720	C₄²	—	10	1	no	—
721	C₄²	—	20	2	no	—
722	C₂×C₅	—	2	1	no	—
723	C₂×C₅	—	2	2	no	—
724	C₂×C₅	—	2	1	no	—
725	C₂×C₅	—	4	1	no	—
726	C₂×C₅	—	4	2	no	—
727	C₂×C₅	—	8	1	no	—
728	C₂×C₅	—	8	1	no	—
729	C₂×C₅	#2358	1	1	yes	characteristic
730	C₂×C₅	C₂×#444	1	1	yes	characteristic
731	C₂×C₅	#2956	1	1	yes	characteristic
732	C₂³	—	2	1	no	—
733	C₂³	—	2	1	no	—
734	C₂³	—	2	1	no	—
735	C₂³	—	2	2	no	—
736	C₂³	—	2	1	no	—
737	C₂³	—	2	1	no	—
738	C₂³	—	4	1	no	—
739	C₂³	—	4	2	no	—
740	C₂³	—	4	2	no	—
741	C₂³	—	8	1	no	—
742	C₂³	D₄×Dic₅	1	1	yes	characteristic
743	C₂³	D₄×Dic₅	1	1	yes	characteristic
744	C₂³	C₂×#711	1	1	yes	characteristic
745	Q₈	—	2	1	no	—
746	Q₈	—	2	1	no	—
747	Q₈	—	2	1	no	—
748	Q₈	—	2	1	no	—
749	Q₈	—	2	1	no	—
750	Q₈	—	4	2	no	—
751	Q₈	D₄×Dic₅	1	2	yes	—
752	D₄	—	2	2	no	—
753	D₄	—	2	2	no	—
754	D₄	—	2	1	no	—
755	D₄	—	2	1	no	—
756	D₄	—	2	1	no	—
757	D₄	—	2	1	no	—
758	D₄	—	2	1	no	—
759	D₄	—	4	2	no	—
760	D₄	—	4	2	no	—
761	D₄	—	4	2	no	—
762	D₄	—	4	1	no	—
763	D₄	—	4	1	no	—
764	D₄	—	4	1	no	—
765	D₄	—	4	1	no	—
766	D₄	—	4	2	no	—
767	D₄	—	8	1	no	—
768	D₄	D₄×Dic₅	1	2	yes	—
769	C₂×C₄	—	2	1	no	—
770	C₂×C₄	—	2	1	no	—
771	C₂×C₄	—	2	1	no	—
772	C₂×C₄	—	2	1	no	—
773	C₂×C₄	—	2	1	no	—
774	C₂×C₄	—	2	1	no	—
775	C₂×C₄	—	2	1	no	—
776	C₂×C₄	—	2	1	no	—
777	C₂×C₄	—	2	2	no	—
778	C₂×C₄	—	2	1	no	—
779	C₂×C₄	—	2	2	no	—
780	C₂×C₄	—	2	1	no	—
781	C₂×C₄	—	2	1	no	—
782	C₂×C₄	—	2	1	no	—
783	C₂×C₄	—	2	1	no	—
784	C₂×C₄	—	2	1	no	—
785	C₂×C₄	—	2	1	no	—
786	C₂×C₄	—	4	2	no	—
787	C₂×C₄	—	4	2	no	—
788	C₂×C₄	—	4	2	no	—
789	C₂×C₄	—	4	1	no	—
790	C₂×C₄	—	4	1	no	—
791	C₂×C₄	—	4	1	no	—
792	C₂×C₄	—	4	1	no	—
793	C₂×C₄	—	10	2	no	—
794	C₂×C₄	—	10	2	no	—
795	C₂×C₄	—	20	1	no	—
796	C₂×C₄	—	20	1	no	—
797	C₂×C₄	—	20	1	no	—
798	C₂×C₄	—	20	8	no	—
799	C₂×C₄	—	20	1	no	—
800	C₂×C₄	D₄×Dic₅	1	1	yes	characteristic
801	C₂×C₄	D₄×Dic₅	1	1	yes	characteristic
802	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
803	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
804	C₂×C₄	C₂×#711	1	1	yes	characteristic
805	C₂×C₄	#4144	1	1	yes	characteristic
806	C₂×C₄	#4144	1	1	yes	characteristic
807	C₂×C₄	C₂³×Dic₅	1	1	yes	characteristic
808	C₈	—	2	1	no	—
809	C₈	—	2	1	no	—
810	C₈	—	2	1	no	—
811	C₈	—	2	1	no	—
812	C₈	—	10	1	no	—
813	C₈	—	10	1	no	—
814	C₈	—	10	2	no	—
815	C₈	—	10	1	no	—
816	C₈	—	10	1	no	—
817	C₈	—	20	1	no	—
818	C₈	—	20	1	no	—
819	C₈	—	20	1	no	—
820	C₅	#22886	1	1	yes	characteristic, complemented, Sylow
821	C₂²	—	2	1	no	—
822	C₂²	—	2	1	no	—
823	C₂²	—	2	1	no	—
824	C₂²	—	2	1	no	—
825	C₂²	—	2	1	no	—
826	C₂²	—	2	2	no	—
827	C₂²	—	2	1	no	—
828	C₂²	—	2	1	no	—
829	C₂²	—	4	2	no	—
830	C₂²	—	4	2	no	—
831	C₂²	—	4	1	no	—
832	C₂²	—	4	1	no	—
833	C₂²	—	4	1	no	—
834	C₂²	—	4	1	no	—
835	C₂²	—	4	1	no	—
836	C₂²	—	4	1	no	—
837	C₂²	—	4	1	no	—
838	C₂²	—	4	1	no	—
839	C₂²	—	8	4	no	—
840	C₂²	#65486	1	2	yes	complemented
841	C₂²	#65921	1	1	yes	characteristic
842	C₂²	#65925	1	1	yes	characteristic
843	C₂²	C₂×D₄×Dic₅	1	1	yes	characteristic
844	C₄	—	2	1	no	—
845	C₄	—	2	1	no	—
846	C₄	—	2	2	no	—
847	C₄	—	4	1	no	—
848	C₄	—	4	1	no	—
849	C₄	—	4	1	no	—
850	C₄	—	4	1	no	—
851	C₄	—	20	2	no	—
852	C₄	—	20	2	no	—
853	C₄	#65924	1	1	yes	characteristic
854	C₄	#65925	1	1	yes	characteristic
855	C₄	C₂×D₄×Dic₅	1	1	yes	characteristic
856	C₄	#66132	1	1	yes	characteristic
857	C₂	—	2	1	no	—
858	C₂	—	2	2	no	—
859	C₂	—	2	1	no	—
860	C₂	—	4	1	no	—
861	C₂	—	4	2	no	—
862	C₂	—	8	1	no	—
863	C₂	—	8	1	no	—
864	C₂	#10614310	1	1	yes	characteristic
865	C₂	C₂×#65486	1	1	yes	characteristic
866	C₂	#10615731	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator	C₂×C₄×C₅	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₅
Fitting, prime radical	C₅×#3002	C₂
socle	C₂²×C₅	C₂×C₄×D₄
cosocle	C₂²×C₄×C₅	C₂⁴
hypercenter	#3002	D₅
hypocenter	C₅	#22886
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ #3002

Complements

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

N	H ≅ G/N	type
2. C₂²×#3969	C₂	semidirect
3. #10615806	C₂	semidirect
4. C₂×#65486	C₂	semidirect
5. #10614649	C₂	semidirect
6. #10602880	C₂	semidirect
7. #10602880	C₂	semidirect
8. #10602878	C₂	semidirect
9. #10602504	C₂	semidirect
10. #10601085	C₂	semidirect
11. #10601084	C₂	semidirect
12. #10601083	C₂	semidirect
13. #10601081	C₂	semidirect
14. #10600747	C₂	semidirect
15. #10600699	C₂	semidirect
22. C₂×#4094	C₂²	semidirect
25. C₅×#452	C₄	semidirect
26. C₅×#452	C₄	semidirect
27. C₅×#451	C₄	semidirect
28. C₅×#450	C₄	semidirect
29. C₅×#449	C₄	semidirect
30. C₅×#449	C₄	semidirect
31. C₅×#448	C₄	semidirect
32. C₅×#447	C₄	semidirect
41. C₂×#3969	C₂²	semidirect
42. C₂×#3969	C₂²	semidirect
47. #65523	C₂²	semidirect
53. C₂×#3951	C₂²	semidirect
54. C₂×#3951	C₂²	semidirect
55. C₂×#3947	C₂²	semidirect
56. C₂×#3947	C₂²	semidirect
61. #65288	C₂²	semidirect
62. #65286	C₂²	semidirect
63. #64772	C₂²	semidirect
64. #64772	C₂²	semidirect
65. #64770	C₂²	semidirect
66. #64770	C₂²	semidirect
67. #64752	C₂²	semidirect
68. #64752	C₂²	semidirect
91. C₂×C₅×Q₁₆	C₂×C₄	semidirect
92. C₂×C₅×Q₁₆	C₂×C₄	semidirect
93. C₂×C₅×SD₁₆	C₂×C₄	semidirect
94. C₂×C₅×SD₁₆	C₂×C₄	semidirect
95. C₂×C₅×SD₁₆	C₂×C₄	semidirect
96. C₂×C₅×SD₁₆	C₂×C₄	semidirect
97. C₂×C₅×D₈	C₂×C₄	semidirect
98. C₂×C₅×D₈	C₂×C₄	semidirect
137. C₅×#103	C₂×C₄	semidirect
138. C₅×#103	C₂×C₄	semidirect
139. C₅×#103	C₂×C₄	semidirect
140. C₅×#103	C₂×C₄	semidirect
141. C₅×#102	C₂×C₄	semidirect
142. C₅×#102	C₂×C₄	semidirect
143. C₅×#102	C₂×C₄	semidirect
144. C₅×#102	C₂×C₄	semidirect
154. #3969	D₄	semidirect
324. #452	Dic₅	semidirect
325. #452	Dic₅	semidirect
326. #451	Dic₅	semidirect
327. #450	Dic₅	semidirect
328. #449	Dic₅	semidirect
329. #449	Dic₅	semidirect
330. #448	Dic₅	semidirect
331. #447	Dic₅	semidirect
477. C₂×Q₁₆	C₂×Dic₅	semidirect
478. C₂×Q₁₆	C₂×Dic₅	semidirect
479. C₂×SD₁₆	C₂×Dic₅	semidirect
480. C₂×SD₁₆	C₂×Dic₅	semidirect
481. C₂×SD₁₆	C₂×Dic₅	semidirect
482. C₂×SD₁₆	C₂×Dic₅	semidirect
483. C₂×D₈	C₂×Dic₅	semidirect
484. C₂×D₈	C₂×Dic₅	semidirect
533. #103	C₂×Dic₅	semidirect
534. #103	C₂×Dic₅	semidirect
535. #103	C₂×Dic₅	semidirect
536. #103	C₂×Dic₅	semidirect
537. #102	C₂×Dic₅	semidirect
538. #102	C₂×Dic₅	semidirect
539. #102	C₂×Dic₅	semidirect
540. #102	C₂×Dic₅	semidirect
580. C₂²×C₅	#444	semidirect
820. C₅	#22886	semidirect
840. C₂²	#65486	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3002	2
C₂²×#3969	2
#10615806	2
C₂×#65486	2
#10614649	2
#10602880	2
#10602878	2
#10602504	2
#10601085	2
#10601084	2
#10601083	2
#10601081	2
#10600747	2
#10600699	2
#22886	5