Subgroups — C₅×#60581 #11983301

Order 1280.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1170 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#3428	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3125	C₂	1	2	yes	maximal, complemented
4	C₅×#3124	C₂	1	2	yes	maximal, complemented
5	C₅×#3120	C₂	1	2	yes	maximal, complemented
6	C₅×#3120	C₂	1	2	yes	maximal, complemented
7	C₅×#3116	C₂	1	2	yes	maximal, complemented
8	C₅×#3111	C₂	1	2	yes	maximal, complemented
9	C₅×#3107	C₂	1	2	yes	maximal, complemented
10	C₅×#3102	C₂	1	2	yes	maximal, complemented
11	C₅×#3095	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#3091	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#3082	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#3081	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#3044	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3042	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#3005	C₂	1	1	yes	maximal, characteristic
18	C₂×C₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2950	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2949	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
25	C₂×C₅×#137	C₂²	1	1	yes	characteristic
26	C₂×C₅×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
27	C₂²×C₅×Q₁₆	C₂²	1	1	yes	characteristic
28	C₂²×C₅×SD₁₆	C₂²	1	1	yes	characteristic
29	C₅×#556	—	2	1	no	—
30	C₅×#554	—	2	1	no	—
31	C₅×#552	—	2	2	no	—
32	C₅×#552	—	2	1	no	—
33	C₅×#552	—	2	1	no	—
34	C₅×#551	—	2	2	no	—
35	C₅×#544	C₂²	1	1	yes	characteristic
36	C₅×#542	C₂²	1	2	yes	complemented
37	C₅×#541	C₂²	1	2	yes	complemented
38	C₅×#536	C₂²	1	1	yes	characteristic
39	C₅×#533	C₂²	1	2	yes	complemented
40	C₅×#529	C₂²	1	2	yes	complemented
41	C₅×#525	C₂²	1	1	yes	characteristic
42	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₅×#520	—	2	1	no	—
44	C₅×#520	—	2	1	no	—
45	C₅×#520	C₂²	1	2	yes	—
46	C₅×#520	C₂²	1	2	yes	—
47	C₅×#520	C₂²	1	1	yes	characteristic
48	C₅×#519	C₂²	1	1	yes	characteristic
49	C₅×#519	C₂²	1	1	yes	characteristic
50	C₅×#519	C₂²	1	1	yes	characteristic
51	C₅×#518	—	2	2	no	—
52	C₅×#518	C₂²	1	1	yes	characteristic
53	C₅×#518	C₂²	1	1	yes	characteristic
54	C₄×C₅×#41	—	2	1	no	—
55	C₄×C₅×#41	—	2	1	no	—
56	C₄×C₅×#41	C₂²	1	2	yes	—
57	C₄×C₅×#41	C₂²	1	2	yes	—
58	C₂×C₅×#117	—	2	2	no	—
59	C₂×C₅×#117	C₂²	1	1	yes	characteristic
60	C₂×C₅×#117	C₂²	1	1	yes	characteristic
61	C₅×#485	C₂²	1	1	yes	characteristic, complemented
62	C₅×#485	C₂²	1	1	yes	characteristic, complemented
63	C₅×#485	C₂²	1	2	yes	complemented
64	C₅×#485	C₂²	1	2	yes	complemented
65	C₅×#484	C₂²	1	1	yes	characteristic, complemented
66	C₅×#484	C₂²	1	2	yes	complemented
67	C₅×#483	C₂²	1	1	yes	characteristic, complemented
68	C₅×#483	C₂²	1	2	yes	complemented
69	C₅×#482	C₂²	1	1	yes	characteristic, complemented
70	C₅×#482	C₂²	1	1	yes	characteristic, complemented
71	C₅×#481	C₂²	1	1	yes	characteristic, complemented
72	C₅×#480	C₂²	1	1	yes	characteristic, complemented
73	C₅×#479	C₂²	1	2	yes	complemented
74	C₅×#479	C₂²	1	2	yes	complemented
75	C₅×#478	C₂²	1	2	yes	complemented
76	C₅×#478	C₂²	1	2	yes	complemented
77	C₅×#477	C₂²	1	2	yes	complemented
78	C₅×#476	C₂²	1	2	yes	complemented
79	C₅×#475	C₂²	1	2	yes	complemented
80	C₅×#474	C₂²	1	2	yes	complemented
81	C₅×#464	C₂²	1	2	yes	complemented
82	C₅×#464	C₂²	1	2	yes	complemented
83	C₅×#463	C₂²	1	2	yes	complemented
84	C₅×#463	C₂²	1	2	yes	complemented
85	C₅×#462	C₂²	1	2	yes	complemented
86	C₅×#462	C₂²	1	2	yes	complemented
87	C₅×#461	C₂²	1	2	yes	complemented
88	C₅×#461	C₂²	1	2	yes	complemented
89	C₅×#452	C₂²	1	2	yes	—
90	C₅×#452	C₂²	1	2	yes	—
91	C₅×#452	C₂²	1	2	yes	—
92	C₅×#452	C₂²	1	2	yes	—
93	C₅×#452	C₂²	1	2	yes	—
94	C₅×#452	C₂²	1	2	yes	—
95	C₅×#449	C₂²	1	2	yes	—
96	C₅×#449	C₂²	1	2	yes	—
97	C₅×#442	C₂²	1	2	yes	complemented
98	C₅×#441	C₂²	1	2	yes	complemented
99	C₅×#441	C₂²	1	2	yes	complemented
100	C₅×#441	C₂²	1	2	yes	complemented
101	C₅×#440	C₂²	1	2	yes	complemented
102	C₅×#440	C₂²	1	2	yes	complemented
103	C₅×#440	C₂²	1	2	yes	complemented
104	C₅×#440	C₂²	1	2	yes	complemented
105	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
106	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
107	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
108	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
110	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
111	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
112	C₄×C₅×D₈	C₂²	1	2	yes	complemented
113	C₅×#433	C₂²	1	2	yes	complemented
114	C₅×#433	C₂²	1	2	yes	complemented
115	C₅×#432	C₂²	1	2	yes	complemented
116	C₅×#431	C₂²	1	2	yes	complemented
117	C₅×#428	C₂²	1	1	yes	characteristic
118	C₅×#428	C₂²	1	1	yes	characteristic
119	C₅×#427	C₂²	1	1	yes	characteristic
120	C₅×#427	C₂²	1	1	yes	characteristic
121	C₅×#424	C₂²	1	1	yes	characteristic
122	C₅×#424	C₂²	1	1	yes	characteristic
123	C₅×#419	C₂²	1	1	yes	characteristic
124	C₅×#419	C₂²	1	1	yes	characteristic
125	C₅×#419	C₂²	1	1	yes	characteristic
126	C₅×#418	C₂²	1	1	yes	characteristic
127	C₅×#416	C₂²	1	1	yes	characteristic
128	C₅×#416	C₂²	1	1	yes	characteristic
129	C₂×C₅×#103	C₂²	1	1	yes	characteristic
130	C₂×C₅×#102	C₂²	1	1	yes	characteristic
131	C₅×#407	C₂²	1	1	yes	characteristic
132	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
133	C₅×#405	C₂²	1	1	yes	characteristic
134	C₅×#405	C₂²	1	1	yes	characteristic
135	#60581	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₅×#41	—	2	4	no	—
137	C₂×C₅×#41	—	2	4	no	—
138	C₂×C₅×#41	—	2	1	no	—
139	C₂×C₅×#41	—	2	1	no	—
140	C₂×C₅×#41	C₂³	1	1	yes	characteristic
141	C₂×C₅×#41	C₂³	1	2	yes	—
142	C₂×C₅×#41	C₂³	1	2	yes	—
143	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
144	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
145	C₂²×C₅×D₄	—	2	1	no	—
146	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₅	—	2	1	no	—
148	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
149	C₅×#137	—	2	4	no	—
150	C₅×AGL(1,ℤ/8)	—	2	4	no	—
151	C₂×C₅×Q₁₆	—	2	4	no	—
152	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₅×SD₁₆	—	2	4	no	—
156	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₅×D₈	C₂³	1	2	yes	—
161	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
163	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
164	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
165	C₅×C₄⋊Q₈	—	2	1	no	—
166	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₅×#126	—	2	2	no	—
169	C₅×#126	—	2	2	no	—
170	C₅×#126	—	2	2	no	—
171	C₅×#126	—	2	2	no	—
172	C₅×#125	—	2	2	no	—
173	C₅×#125	—	2	2	no	—
174	C₅×#125	—	2	1	no	—
175	C₅×#125	—	2	2	no	—
176	C₅×#125	C₂³	1	2	yes	—
177	C₅×#124	—	2	2	no	—
178	C₅×#124	C₂³	1	2	yes	—
179	C₅×#123	—	2	1	no	—
180	C₅×#123	—	2	2	no	—
181	C₅×#123	—	2	2	no	—
182	C₅×#123	—	2	2	no	—
183	C₅×C₂²⋊Q₈	—	2	1	no	—
184	C₅×C₂²⋊Q₈	—	2	1	no	—
185	C₅×C₂²⋊Q₈	—	2	2	no	—
186	C₅×C₂²⋊Q₈	—	2	1	no	—
187	C₅×C₂²⋊Q₈	—	2	1	no	—
188	C₅×C₂²⋊Q₈	—	2	2	no	—
189	C₅×C₂²⋊Q₈	—	2	2	no	—
190	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
194	C₅×#121	C₂³	1	1	yes	characteristic
195	C₅×#121	C₂³	1	1	yes	characteristic
196	C₅×#120	—	2	1	no	—
197	C₄×C₅×Q₈	—	2	1	no	—
198	C₄×C₅×Q₈	—	2	1	no	—
199	C₄×C₅×Q₈	—	2	1	no	—
200	C₄×C₅×Q₈	—	2	1	no	—
201	C₄×C₅×Q₈	—	2	1	no	—
202	C₄×C₅×Q₈	—	2	1	no	—
203	C₄×C₅×Q₈	—	2	2	no	—
204	C₄×C₅×Q₈	C₂³	1	2	yes	—
205	C₄×C₅×Q₈	C₂³	1	2	yes	—
206	C₄×C₅×Q₈	C₂³	1	2	yes	—
207	C₄×C₅×Q₈	C₂³	1	2	yes	—
208	C₄×C₅×Q₈	C₂³	1	2	yes	—
209	C₄×C₅×Q₈	C₂³	1	2	yes	—
210	C₄×C₅×Q₈	C₂³	1	2	yes	—
211	C₄×C₅×D₄	—	2	2	no	—
212	C₄×C₅×D₄	—	2	2	no	—
213	C₄×C₅×D₄	—	2	2	no	—
214	C₄×C₅×D₄	—	2	2	no	—
215	C₄×C₅×D₄	—	2	1	no	—
216	C₄×C₅×D₄	—	2	1	no	—
217	C₄×C₅×D₄	—	2	2	no	—
218	C₄×C₅×D₄	—	2	1	no	—
219	C₄×C₅×D₄	—	2	1	no	—
220	C₄×C₅×D₄	—	2	1	no	—
221	C₄×C₅×D₄	—	2	1	no	—
222	C₄×C₅×D₄	—	2	2	no	—
223	C₄×C₅×D₄	—	2	2	no	—
224	C₄×C₅×D₄	—	2	2	no	—
225	C₄×C₅×D₄	—	2	2	no	—
226	C₄×C₅×D₄	—	2	2	no	—
227	C₄×C₅×D₄	C₂³	1	2	yes	—
228	C₄×C₅×D₄	C₂³	1	2	yes	—
229	C₄×C₅×D₄	C₂³	1	2	yes	—
230	C₄×C₅×D₄	C₂³	1	2	yes	—
231	C₄×C₅×D₄	C₂³	1	2	yes	—
232	C₅×#117	—	2	1	no	—
233	C₅×#117	—	2	1	no	—
234	C₅×#117	—	2	2	no	—
235	C₅×#117	—	2	2	no	—
236	C₅×#117	—	2	2	no	—
237	C₅×#117	—	2	1	no	—
238	C₅×#117	—	2	2	no	—
239	C₅×#117	—	2	2	no	—
240	C₅×#117	—	2	2	no	—
241	C₅×#117	—	2	2	no	—
242	C₅×#117	—	2	2	no	—
243	C₅×#117	—	2	2	no	—
244	C₅×#117	D₄	1	2	yes	—
245	C₅×#117	D₄	1	1	yes	characteristic
246	C₅×#117	D₄	1	1	yes	characteristic
247	C₅×#117	C₂³	1	1	yes	characteristic
248	C₅×#117	C₂³	1	1	yes	characteristic
249	C₅×#117	C₂³	1	1	yes	characteristic
250	C₅×#117	C₂³	1	1	yes	characteristic
251	C₅×#117	C₂³	1	1	yes	characteristic
252	C₅×#117	C₂³	1	1	yes	characteristic
253	C₅×#117	C₂³	1	1	yes	characteristic
254	C₅×#117	C₂³	1	2	yes	—
255	C₂×C₅×C₄⋊C₄	—	2	1	no	—
256	C₂×C₅×C₄⋊C₄	—	2	2	no	—
257	C₂×C₅×C₄⋊C₄	—	2	2	no	—
258	C₂×C₅×C₄⋊C₄	—	2	1	no	—
259	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
260	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
261	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₅×C₂²⋊C₄	D₄	1	2	yes	—
269	C₂×C₄²×C₅	—	2	1	no	—
270	C₂×C₄²×C₅	—	2	2	no	—
271	C₂×C₄²×C₅	—	2	2	no	—
272	C₂×C₄²×C₅	C₂³	1	2	yes	—
273	C₅×#107	C₂³	1	1	yes	characteristic
274	C₅×#107	C₂³	1	1	yes	characteristic
275	C₅×#107	C₂³	1	1	yes	characteristic
276	C₅×#107	C₂³	1	1	yes	characteristic
277	C₅×#107	C₂³	1	2	yes	—
278	C₅×#107	C₂³	1	2	yes	—
279	C₅×#106	C₂³	1	1	yes	characteristic
280	C₅×#106	C₂³	1	1	yes	characteristic
281	C₅×#106	C₂³	1	1	yes	characteristic
282	C₅×#106	C₂³	1	1	yes	characteristic
283	C₅×#106	C₂³	1	2	yes	—
284	C₅×#106	C₂³	1	2	yes	—
285	C₅×C₄⋊C₈	C₂³	1	2	yes	—
286	C₅×C₄⋊C₈	C₂³	1	2	yes	—
287	C₅×C₄⋊C₈	C₂³	1	2	yes	—
288	C₅×C₄⋊C₈	C₂³	1	2	yes	—
289	C₅×#103	C₂³	1	2	yes	—
290	C₅×#103	C₂³	1	2	yes	—
291	C₅×#103	C₂³	1	1	yes	characteristic
292	C₅×#103	C₂³	1	1	yes	characteristic
293	C₅×#103	C₂³	1	1	yes	characteristic
294	C₅×#103	C₂³	1	1	yes	characteristic
295	C₅×#103	C₂³	1	2	yes	—
296	C₅×#103	C₂³	1	2	yes	—
297	C₅×#103	C₂³	1	2	yes	—
298	C₅×#103	C₂³	1	2	yes	—
299	C₅×#103	C₂³	1	2	yes	—
300	C₅×#103	C₂³	1	2	yes	—
301	C₅×#102	C₂³	1	2	yes	—
302	C₅×#102	C₂³	1	2	yes	—
303	C₅×#102	C₂³	1	1	yes	characteristic
304	C₅×#102	C₂³	1	1	yes	characteristic
305	C₅×#102	C₂³	1	1	yes	characteristic
306	C₅×#102	C₂³	1	1	yes	characteristic
307	C₅×#102	C₂³	1	2	yes	—
308	C₅×#102	C₂³	1	2	yes	—
309	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
315	C₅×#97	C₂³	1	2	yes	—
316	C₅×#97	C₂³	1	2	yes	—
317	C₄×C₅×C₈	C₂³	1	2	yes	—
318	C₄×C₅×C₈	C₂³	1	2	yes	—
319	#3495	C₂×C₅	1	1	yes	characteristic, complemented
320	#3428	C₂×C₅	1	1	yes	characteristic, complemented
321	#3125	C₂×C₅	1	2	yes	complemented
322	#3124	C₂×C₅	1	2	yes	complemented
323	#3120	C₂×C₅	1	2	yes	complemented
324	#3120	C₂×C₅	1	2	yes	complemented
325	#3116	C₂×C₅	1	2	yes	complemented
326	#3111	C₂×C₅	1	2	yes	complemented
327	#3107	C₂×C₅	1	2	yes	complemented
328	#3102	C₂×C₅	1	2	yes	complemented
329	#3095	C₂×C₅	1	1	yes	characteristic, complemented
330	#3091	C₂×C₅	1	1	yes	characteristic, complemented
331	#3082	C₂×C₅	1	1	yes	characteristic, complemented
332	#3081	C₂×C₅	1	1	yes	characteristic, complemented
333	#3044	C₂×C₅	1	1	yes	characteristic, complemented
334	#3042	C₂×C₅	1	1	yes	characteristic, complemented
335	#3005	C₂×C₅	1	1	yes	characteristic
336	C₂×#452	C₂×C₅	1	1	yes	characteristic, complemented
337	#2950	C₂×C₅	1	1	yes	characteristic, complemented
338	#2949	C₂×C₅	1	1	yes	characteristic, complemented
339	#2947	C₂×C₅	1	1	yes	characteristic, complemented
340	#2946	C₂×C₅	1	1	yes	characteristic, complemented
341	#2924	C₂×C₅	1	1	yes	characteristic, complemented
342	C₂⁴×C₅	—	2	1	no	—
343	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
344	C₅×#41	—	2	8	no	—
345	C₅×#41	—	2	8	no	—
346	C₅×#41	—	2	4	no	—
347	C₅×#41	—	2	4	no	—
348	C₅×#41	—	2	4	no	—
349	C₅×#41	—	2	4	no	—
350	C₅×#41	—	2	2	no	—
351	C₅×#41	—	2	2	no	—
352	C₂×C₅×Q₈	—	2	1	no	—
353	C₂×C₅×Q₈	—	2	1	no	—
354	C₂×C₅×Q₈	—	2	2	no	—
355	C₂×C₅×Q₈	—	2	2	no	—
356	C₂×C₅×Q₈	—	2	2	no	—
357	C₂×C₅×Q₈	—	2	2	no	—
358	C₂×C₅×Q₈	#41	1	4	yes	—
359	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
360	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
361	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
362	C₂×C₅×D₄	—	2	8	no	—
363	C₂×C₅×D₄	—	2	2	no	—
364	C₂×C₅×D₄	—	2	2	no	—
365	C₂×C₅×D₄	—	2	1	no	—
366	C₂×C₅×D₄	—	2	1	no	—
367	C₂×C₅×D₄	—	2	1	no	—
368	C₂×C₅×D₄	—	2	1	no	—
369	C₂×C₅×D₄	—	2	2	no	—
370	C₂×C₅×D₄	#41	1	4	yes	—
371	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
372	C₂×C₅×D₄	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₅	—	2	8	no	—
374	C₂²×C₄×C₅	—	2	1	no	—
375	C₂²×C₄×C₅	—	2	2	no	—
376	C₂²×C₄×C₅	—	2	2	no	—
377	C₂²×C₄×C₅	—	2	2	no	—
378	C₂²×C₄×C₅	—	2	2	no	—
379	C₂²×C₄×C₅	—	2	1	no	—
380	C₂²×C₄×C₅	—	2	1	no	—
381	C₂²×C₄×C₅	—	2	1	no	—
382	C₂²×C₄×C₅	—	2	1	no	—
383	C₂²×C₄×C₅	—	2	1	no	—
384	C₂²×C₄×C₅	—	2	2	no	—
385	C₂²×C₄×C₅	—	2	2	no	—
386	C₂²×C₄×C₅	—	2	2	no	—
387	C₂²×C₄×C₅	—	2	2	no	—
388	C₂²×C₄×C₅	—	2	2	no	—
389	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
393	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₅×Q₁₆	—	2	4	no	—
398	C₅×Q₁₆	—	2	4	no	—
399	C₅×Q₁₆	—	2	4	no	—
400	C₅×SD₁₆	—	2	4	no	—
401	C₅×SD₁₆	—	2	4	no	—
402	C₅×SD₁₆	—	2	4	no	—
403	C₅×SD₁₆	—	2	4	no	—
404	C₅×D₈	—	2	4	no	—
405	C₅×M₁₆	—	2	2	no	—
406	C₅×M₁₆	—	2	2	no	—
407	C₂×C₅×C₈	—	2	2	no	—
408	C₂×C₅×C₈	—	2	2	no	—
409	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
410	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
411	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
412	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
413	C₂×C₅×C₈	C₂⁴	1	2	yes	—
414	C₂×C₅×C₈	C₂⁴	1	2	yes	—
415	C₅×C₄⋊C₄	—	2	1	no	—
416	C₅×C₄⋊C₄	—	2	1	no	—
417	C₅×C₄⋊C₄	—	2	1	no	—
418	C₅×C₄⋊C₄	—	2	2	no	—
419	C₅×C₄⋊C₄	—	2	2	no	—
420	C₅×C₄⋊C₄	—	2	2	no	—
421	C₅×C₄⋊C₄	—	2	2	no	—
422	C₅×C₄⋊C₄	—	2	2	no	—
423	C₅×C₄⋊C₄	—	2	2	no	—
424	C₅×C₄⋊C₄	—	2	2	no	—
425	C₅×C₄⋊C₄	—	2	2	no	—
426	C₅×C₄⋊C₄	—	2	2	no	—
427	C₅×C₄⋊C₄	—	2	2	no	—
428	C₅×C₄⋊C₄	—	2	2	no	—
429	C₅×C₄⋊C₄	—	2	2	no	—
430	C₅×C₄⋊C₄	—	2	1	no	—
431	C₅×C₄⋊C₄	—	2	2	no	—
432	C₅×C₄⋊C₄	—	2	1	no	—
433	C₅×C₄⋊C₄	—	2	2	no	—
434	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
435	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
436	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
437	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
438	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
439	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
440	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
441	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
442	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
443	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
444	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
445	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
446	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₅×C₂²⋊C₄	—	2	1	no	—
448	C₅×C₂²⋊C₄	—	2	1	no	—
449	C₅×C₂²⋊C₄	—	2	1	no	—
450	C₅×C₂²⋊C₄	—	2	1	no	—
451	C₅×C₂²⋊C₄	—	2	2	no	—
452	C₅×C₂²⋊C₄	—	2	2	no	—
453	C₅×C₂²⋊C₄	—	2	1	no	—
454	C₅×C₂²⋊C₄	—	2	1	no	—
455	C₅×C₂²⋊C₄	—	2	1	no	—
456	C₅×C₂²⋊C₄	—	2	2	no	—
457	C₅×C₂²⋊C₄	—	2	2	no	—
458	C₅×C₂²⋊C₄	—	2	2	no	—
459	C₅×C₂²⋊C₄	—	2	2	no	—
460	C₅×C₂²⋊C₄	—	2	1	no	—
461	C₅×C₂²⋊C₄	—	2	2	no	—
462	C₅×C₂²⋊C₄	—	2	2	no	—
463	C₅×C₂²⋊C₄	—	2	1	no	—
464	C₅×C₂²⋊C₄	—	2	2	no	—
465	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
466	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
467	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
468	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
469	C₄²×C₅	—	2	1	no	—
470	C₄²×C₅	—	2	1	no	—
471	C₄²×C₅	—	2	2	no	—
472	C₄²×C₅	—	2	2	no	—
473	C₄²×C₅	—	2	2	no	—
474	C₄²×C₅	—	2	2	no	—
475	C₄²×C₅	—	2	1	no	—
476	C₄²×C₅	—	2	1	no	—
477	C₄²×C₅	—	2	2	no	—
478	C₄²×C₅	—	2	2	no	—
479	C₄²×C₅	—	2	2	no	—
480	C₄²×C₅	—	2	1	no	—
481	C₄²×C₅	C₂×D₄	1	2	yes	—
482	C₄²×C₅	C₂×D₄	1	2	yes	—
483	C₄²×C₅	C₂⁴	1	2	yes	—
484	C₄²×C₅	C₂⁴	1	2	yes	—
485	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
486	C₂×#137	C₂²×C₅	1	1	yes	characteristic
487	C₂×AGL(1,ℤ/8)	C₂²×C₅	1	1	yes	characteristic
488	C₂²×Q₁₆	C₂²×C₅	1	1	yes	characteristic
489	C₂²×SD₁₆	C₂²×C₅	1	1	yes	characteristic
490	#556	—	2	1	no	—
491	#554	—	2	1	no	—
492	#552	—	2	2	no	—
493	#552	—	2	1	no	—
494	#552	—	2	1	no	—
495	#551	—	2	2	no	—
496	#544	C₂²×C₅	1	1	yes	characteristic
497	#542	C₂²×C₅	1	2	yes	complemented
498	#541	C₂²×C₅	1	2	yes	complemented
499	#536	C₂²×C₅	1	1	yes	characteristic
500	#533	C₂²×C₅	1	2	yes	complemented
501	#529	C₂²×C₅	1	2	yes	complemented
502	#525	C₂²×C₅	1	1	yes	characteristic
503	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
504	#520	—	2	1	no	—
505	#520	—	2	1	no	—
506	#520	C₂²×C₅	1	2	yes	—
507	#520	C₂²×C₅	1	2	yes	—
508	#520	C₂²×C₅	1	1	yes	characteristic
509	#519	C₂²×C₅	1	1	yes	characteristic
510	#519	C₂²×C₅	1	1	yes	characteristic
511	#519	C₂²×C₅	1	1	yes	characteristic
512	#518	—	2	2	no	—
513	#518	C₂²×C₅	1	1	yes	characteristic
514	#518	C₂²×C₅	1	1	yes	characteristic
515	C₄×#41	—	2	1	no	—
516	C₄×#41	—	2	1	no	—
517	C₄×#41	C₂²×C₅	1	2	yes	—
518	C₄×#41	C₂²×C₅	1	2	yes	—
519	C₂×#117	—	2	2	no	—
520	C₂×#117	C₂²×C₅	1	1	yes	characteristic
521	C₂×#117	C₂²×C₅	1	1	yes	characteristic
522	#485	C₂²×C₅	1	1	yes	characteristic, complemented
523	#485	C₂²×C₅	1	1	yes	characteristic, complemented
524	#485	C₂²×C₅	1	2	yes	complemented
525	#485	C₂²×C₅	1	2	yes	complemented
526	#484	C₂²×C₅	1	1	yes	characteristic, complemented
527	#484	C₂²×C₅	1	2	yes	complemented
528	#483	C₂²×C₅	1	1	yes	characteristic, complemented
529	#483	C₂²×C₅	1	2	yes	complemented
530	#482	C₂²×C₅	1	1	yes	characteristic, complemented
531	#482	C₂²×C₅	1	1	yes	characteristic, complemented
532	#481	C₂²×C₅	1	1	yes	characteristic, complemented
533	#480	C₂²×C₅	1	1	yes	characteristic, complemented
534	#479	C₂²×C₅	1	2	yes	complemented
535	#479	C₂²×C₅	1	2	yes	complemented
536	#478	C₂²×C₅	1	2	yes	complemented
537	#478	C₂²×C₅	1	2	yes	complemented
538	#477	C₂²×C₅	1	2	yes	complemented
539	#476	C₂²×C₅	1	2	yes	complemented
540	#475	C₂²×C₅	1	2	yes	complemented
541	#474	C₂²×C₅	1	2	yes	complemented
542	#464	C₂²×C₅	1	2	yes	complemented
543	#464	C₂²×C₅	1	2	yes	complemented
544	#463	C₂²×C₅	1	2	yes	complemented
545	#463	C₂²×C₅	1	2	yes	complemented
546	#462	C₂²×C₅	1	2	yes	complemented
547	#462	C₂²×C₅	1	2	yes	complemented
548	#461	C₂²×C₅	1	2	yes	complemented
549	#461	C₂²×C₅	1	2	yes	complemented
550	#452	C₂²×C₅	1	2	yes	—
551	#452	C₂²×C₅	1	2	yes	—
552	#452	C₂²×C₅	1	2	yes	—
553	#452	C₂²×C₅	1	2	yes	—
554	#452	C₂²×C₅	1	2	yes	—
555	#452	C₂²×C₅	1	2	yes	—
556	#449	C₂²×C₅	1	2	yes	—
557	#449	C₂²×C₅	1	2	yes	—
558	#442	C₂²×C₅	1	2	yes	complemented
559	#441	C₂²×C₅	1	2	yes	complemented
560	#441	C₂²×C₅	1	2	yes	complemented
561	#441	C₂²×C₅	1	2	yes	complemented
562	#440	C₂²×C₅	1	2	yes	complemented
563	#440	C₂²×C₅	1	2	yes	complemented
564	#440	C₂²×C₅	1	2	yes	complemented
565	#440	C₂²×C₅	1	2	yes	complemented
566	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
567	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
568	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
569	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
570	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
571	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
572	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
573	C₄×D₈	C₂²×C₅	1	2	yes	complemented
574	#433	C₂²×C₅	1	2	yes	complemented
575	#433	C₂²×C₅	1	2	yes	complemented
576	#432	C₂²×C₅	1	2	yes	complemented
577	#431	C₂²×C₅	1	2	yes	complemented
578	#428	C₂²×C₅	1	1	yes	characteristic
579	#428	C₂²×C₅	1	1	yes	characteristic
580	#427	C₂²×C₅	1	1	yes	characteristic
581	#427	C₂²×C₅	1	1	yes	characteristic
582	#424	C₂²×C₅	1	1	yes	characteristic
583	#424	C₂²×C₅	1	1	yes	characteristic
584	#419	C₂²×C₅	1	1	yes	characteristic
585	#419	C₂²×C₅	1	1	yes	characteristic
586	#419	C₂²×C₅	1	1	yes	characteristic
587	#418	C₂²×C₅	1	1	yes	characteristic
588	#416	C₂²×C₅	1	1	yes	characteristic
589	#416	C₂²×C₅	1	1	yes	characteristic
590	C₂×#103	C₂²×C₅	1	1	yes	characteristic
591	C₂×#102	C₂²×C₅	1	1	yes	characteristic
592	#407	C₂²×C₅	1	1	yes	characteristic
593	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
594	#405	C₂²×C₅	1	1	yes	characteristic
595	#405	C₂²×C₅	1	1	yes	characteristic
596	C₂³×C₅	—	2	2	no	—
597	C₂³×C₅	—	2	2	no	—
598	C₂³×C₅	—	2	4	no	—
599	C₂³×C₅	—	2	1	no	—
600	C₂³×C₅	—	4	1	no	—
601	C₂³×C₅	—	4	1	no	—
602	C₂³×C₅	—	8	1	no	—
603	C₂³×C₅	—	8	1	no	—
604	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
605	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
606	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
607	C₅×Q₈	—	2	4	no	—
608	C₅×Q₈	—	2	2	no	—
609	C₅×Q₈	—	2	2	no	—
610	C₅×Q₈	—	2	1	no	—
611	C₅×Q₈	—	2	2	no	—
612	C₅×Q₈	—	2	1	no	—
613	C₅×Q₈	—	4	2	no	—
614	C₅×Q₈	—	8	2	no	—
615	C₅×Q₈	C₂×#41	1	4	yes	—
616	C₅×D₄	—	2	8	no	—
617	C₅×D₄	—	2	8	no	—
618	C₅×D₄	—	2	4	no	—
619	C₅×D₄	—	2	2	no	—
620	C₅×D₄	—	2	1	no	—
621	C₅×D₄	—	2	1	no	—
622	C₅×D₄	—	4	2	no	—
623	C₅×D₄	—	4	2	no	—
624	C₅×D₄	—	8	1	no	—
625	C₅×D₄	C₂×#41	1	4	yes	—
626	C₂×C₄×C₅	—	2	8	no	—
627	C₂×C₄×C₅	—	2	8	no	—
628	C₂×C₄×C₅	—	2	2	no	—
629	C₂×C₄×C₅	—	2	4	no	—
630	C₂×C₄×C₅	—	2	2	no	—
631	C₂×C₄×C₅	—	2	2	no	—
632	C₂×C₄×C₅	—	2	2	no	—
633	C₂×C₄×C₅	—	2	1	no	—
634	C₂×C₄×C₅	—	2	1	no	—
635	C₂×C₄×C₅	—	2	1	no	—
636	C₂×C₄×C₅	—	2	1	no	—
637	C₂×C₄×C₅	—	2	1	no	—
638	C₂×C₄×C₅	—	2	1	no	—
639	C₂×C₄×C₅	—	2	1	no	—
640	C₂×C₄×C₅	—	2	1	no	—
641	C₂×C₄×C₅	—	2	1	no	—
642	C₂×C₄×C₅	—	2	1	no	—
643	C₂×C₄×C₅	—	2	2	no	—
644	C₂×C₄×C₅	—	2	1	no	—
645	C₂×C₄×C₅	—	2	2	no	—
646	C₂×C₄×C₅	—	4	2	no	—
647	C₂×C₄×C₅	—	4	2	no	—
648	C₂×C₄×C₅	—	4	2	no	—
649	C₂×C₄×C₅	—	4	2	no	—
650	C₂×C₄×C₅	—	8	2	no	—
651	C₂×C₄×C₅	—	8	2	no	—
652	C₂×C₄×C₅	—	8	2	no	—
653	C₂×C₄×C₅	—	8	2	no	—
654	C₂×C₄×C₅	—	8	2	no	—
655	C₂×C₄×C₅	—	8	1	no	—
656	C₂×C₄×C₅	—	8	1	no	—
657	C₂×C₄×C₅	—	8	1	no	—
658	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
659	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
661	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
662	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
663	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
664	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
665	C₂×C₄×C₅	C₂×#41	1	2	yes	—
666	C₂×C₄×C₅	C₂×#41	1	2	yes	—
667	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
668	C₅×C₈	—	2	1	no	—
669	C₅×C₈	—	2	1	no	—
670	C₅×C₈	—	2	1	no	—
671	C₅×C₈	—	2	1	no	—
672	C₅×C₈	—	2	2	no	—
673	C₅×C₈	—	2	2	no	—
674	C₂×#41	—	2	4	no	—
675	C₂×#41	—	2	4	no	—
676	C₂×#41	—	2	1	no	—
677	C₂×#41	—	2	1	no	—
678	C₂×#41	C₂³×C₅	1	2	yes	—
679	C₂×#41	C₂³×C₅	1	2	yes	—
680	C₂×#41	C₂³×C₅	1	1	yes	characteristic
681	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
682	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
683	C₂²×D₄	—	2	1	no	—
684	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
685	C₂³×C₄	—	2	1	no	—
686	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
687	#137	—	2	4	no	—
688	AGL(1,ℤ/8)	—	2	4	no	—
689	C₂×Q₁₆	—	2	4	no	—
690	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
691	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
692	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
693	C₂×SD₁₆	—	2	4	no	—
694	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
695	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
696	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
697	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
698	C₂×D₈	C₂³×C₅	1	2	yes	—
699	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
700	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
701	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
702	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
703	C₄⋊Q₈	—	2	1	no	—
704	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
705	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
706	#126	—	2	2	no	—
707	#126	—	2	2	no	—
708	#126	—	2	2	no	—
709	#126	—	2	2	no	—
710	#125	—	2	2	no	—
711	#125	—	2	2	no	—
712	#125	—	2	1	no	—
713	#125	—	2	2	no	—
714	#125	C₂³×C₅	1	2	yes	—
715	#124	—	2	2	no	—
716	#124	C₂³×C₅	1	2	yes	—
717	#123	—	2	1	no	—
718	#123	—	2	2	no	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	C₂²⋊Q₈	—	2	1	no	—
722	C₂²⋊Q₈	—	2	1	no	—
723	C₂²⋊Q₈	—	2	2	no	—
724	C₂²⋊Q₈	—	2	1	no	—
725	C₂²⋊Q₈	—	2	1	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
729	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
730	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
731	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
732	#121	C₂³×C₅	1	1	yes	characteristic
733	#121	C₂³×C₅	1	1	yes	characteristic
734	#120	—	2	1	no	—
735	C₄×Q₈	—	2	1	no	—
736	C₄×Q₈	—	2	1	no	—
737	C₄×Q₈	—	2	1	no	—
738	C₄×Q₈	—	2	1	no	—
739	C₄×Q₈	—	2	1	no	—
740	C₄×Q₈	—	2	1	no	—
741	C₄×Q₈	—	2	2	no	—
742	C₄×Q₈	C₂³×C₅	1	2	yes	—
743	C₄×Q₈	C₂³×C₅	1	2	yes	—
744	C₄×Q₈	C₂³×C₅	1	2	yes	—
745	C₄×Q₈	C₂³×C₅	1	2	yes	—
746	C₄×Q₈	C₂³×C₅	1	2	yes	—
747	C₄×Q₈	C₂³×C₅	1	2	yes	—
748	C₄×Q₈	C₂³×C₅	1	2	yes	—
749	C₄×D₄	—	2	2	no	—
750	C₄×D₄	—	2	2	no	—
751	C₄×D₄	—	2	2	no	—
752	C₄×D₄	—	2	2	no	—
753	C₄×D₄	—	2	1	no	—
754	C₄×D₄	—	2	1	no	—
755	C₄×D₄	—	2	2	no	—
756	C₄×D₄	—	2	1	no	—
757	C₄×D₄	—	2	1	no	—
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	—	2	1	no	—
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	C₂³×C₅	1	2	yes	—
766	C₄×D₄	C₂³×C₅	1	2	yes	—
767	C₄×D₄	C₂³×C₅	1	2	yes	—
768	C₄×D₄	C₂³×C₅	1	2	yes	—
769	C₄×D₄	C₂³×C₅	1	2	yes	—
770	#117	—	2	1	no	—
771	#117	—	2	1	no	—
772	#117	—	2	2	no	—
773	#117	—	2	2	no	—
774	#117	—	2	2	no	—
775	#117	—	2	1	no	—
776	#117	—	2	2	no	—
777	#117	—	2	2	no	—
778	#117	—	2	2	no	—
779	#117	—	2	2	no	—
780	#117	—	2	2	no	—
781	#117	—	2	2	no	—
782	#117	C₅×D₄	1	2	yes	—
783	#117	C₅×D₄	1	1	yes	characteristic
784	#117	C₅×D₄	1	1	yes	characteristic
785	#117	C₂³×C₅	1	1	yes	characteristic
786	#117	C₂³×C₅	1	1	yes	characteristic
787	#117	C₂³×C₅	1	1	yes	characteristic
788	#117	C₂³×C₅	1	1	yes	characteristic
789	#117	C₂³×C₅	1	1	yes	characteristic
790	#117	C₂³×C₅	1	1	yes	characteristic
791	#117	C₂³×C₅	1	1	yes	characteristic
792	#117	C₂³×C₅	1	2	yes	—
793	C₂×C₄⋊C₄	—	2	1	no	—
794	C₂×C₄⋊C₄	—	2	2	no	—
795	C₂×C₄⋊C₄	—	2	2	no	—
796	C₂×C₄⋊C₄	—	2	1	no	—
797	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
798	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
799	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
800	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
802	C₂×C₂²⋊C₄	—	2	1	no	—
803	C₂×C₂²⋊C₄	—	2	1	no	—
804	C₂×C₂²⋊C₄	—	2	2	no	—
805	C₂×C₂²⋊C₄	—	2	2	no	—
806	C₂×C₂²⋊C₄	C₅×D₄	1	2	yes	—
807	C₂×C₄²	—	2	1	no	—
808	C₂×C₄²	—	2	2	no	—
809	C₂×C₄²	—	2	2	no	—
810	C₂×C₄²	C₂³×C₅	1	2	yes	—
811	#107	C₂³×C₅	1	1	yes	characteristic
812	#107	C₂³×C₅	1	1	yes	characteristic
813	#107	C₂³×C₅	1	1	yes	characteristic
814	#107	C₂³×C₅	1	1	yes	characteristic
815	#107	C₂³×C₅	1	2	yes	—
816	#107	C₂³×C₅	1	2	yes	—
817	#106	C₂³×C₅	1	1	yes	characteristic
818	#106	C₂³×C₅	1	1	yes	characteristic
819	#106	C₂³×C₅	1	1	yes	characteristic
820	#106	C₂³×C₅	1	1	yes	characteristic
821	#106	C₂³×C₅	1	2	yes	—
822	#106	C₂³×C₅	1	2	yes	—
823	C₄⋊C₈	C₂³×C₅	1	2	yes	—
824	C₄⋊C₈	C₂³×C₅	1	2	yes	—
825	C₄⋊C₈	C₂³×C₅	1	2	yes	—
826	C₄⋊C₈	C₂³×C₅	1	2	yes	—
827	#103	C₂³×C₅	1	2	yes	—
828	#103	C₂³×C₅	1	2	yes	—
829	#103	C₂³×C₅	1	1	yes	characteristic
830	#103	C₂³×C₅	1	1	yes	characteristic
831	#103	C₂³×C₅	1	1	yes	characteristic
832	#103	C₂³×C₅	1	1	yes	characteristic
833	#103	C₂³×C₅	1	2	yes	—
834	#103	C₂³×C₅	1	2	yes	—
835	#103	C₂³×C₅	1	2	yes	—
836	#103	C₂³×C₅	1	2	yes	—
837	#103	C₂³×C₅	1	2	yes	—
838	#103	C₂³×C₅	1	2	yes	—
839	#102	C₂³×C₅	1	2	yes	—
840	#102	C₂³×C₅	1	2	yes	—
841	#102	C₂³×C₅	1	1	yes	characteristic
842	#102	C₂³×C₅	1	1	yes	characteristic
843	#102	C₂³×C₅	1	1	yes	characteristic
844	#102	C₂³×C₅	1	1	yes	characteristic
845	#102	C₂³×C₅	1	2	yes	—
846	#102	C₂³×C₅	1	2	yes	—
847	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
848	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
849	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
850	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
851	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
852	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
853	#97	C₂³×C₅	1	2	yes	—
854	#97	C₂³×C₅	1	2	yes	—
855	C₄×C₈	C₂³×C₅	1	2	yes	—
856	C₄×C₈	C₂³×C₅	1	2	yes	—
857	C₂²×C₅	—	2	1	no	—
858	C₂²×C₅	—	2	1	no	—
859	C₂²×C₅	—	2	1	no	—
860	C₂²×C₅	—	2	1	no	—
861	C₂²×C₅	—	2	1	no	—
862	C₂²×C₅	—	2	1	no	—
863	C₂²×C₅	—	2	1	no	—
864	C₂²×C₅	—	2	1	no	—
865	C₂²×C₅	—	2	4	no	—
866	C₂²×C₅	—	4	2	no	—
867	C₂²×C₅	—	4	2	no	—
868	C₂²×C₅	—	4	1	no	—
869	C₂²×C₅	—	4	1	no	—
870	C₂²×C₅	—	4	1	no	—
871	C₂²×C₅	—	8	2	no	—
872	C₂²×C₅	—	8	4	no	—
873	C₂²×C₅	#525	1	2	yes	—
874	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
875	C₄×C₅	—	2	2	no	—
876	C₄×C₅	—	2	2	no	—
877	C₄×C₅	—	2	2	no	—
878	C₄×C₅	—	2	2	no	—
879	C₄×C₅	—	2	1	no	—
880	C₄×C₅	—	2	1	no	—
881	C₄×C₅	—	2	4	no	—
882	C₄×C₅	—	4	1	no	—
883	C₄×C₅	—	4	1	no	—
884	C₄×C₅	—	4	2	no	—
885	C₄×C₅	—	4	1	no	—
886	C₄×C₅	—	4	1	no	—
887	C₄×C₅	—	4	1	no	—
888	C₄×C₅	—	4	1	no	—
889	C₄×C₅	—	4	1	no	—
890	C₄×C₅	—	4	2	no	—
891	C₄×C₅	#525	1	2	yes	—
892	C₄×C₅	C₂²×#41	1	1	yes	characteristic
893	C₄×C₅	C₂²×#41	1	1	yes	characteristic
894	C₂⁴	—	2	1	no	—
895	C₂⁴	C₂×C₅×D₄	1	1	yes	characteristic
896	#41	—	2	8	no	—
897	#41	—	2	8	no	—
898	#41	—	2	4	no	—
899	#41	—	2	4	no	—
900	#41	—	2	4	no	—
901	#41	—	2	4	no	—
902	#41	—	2	2	no	—
903	#41	—	2	2	no	—
904	C₂×Q₈	—	2	1	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	2	no	—
907	C₂×Q₈	—	2	2	no	—
908	C₂×Q₈	—	2	2	no	—
909	C₂×Q₈	—	2	2	no	—
910	C₂×Q₈	C₅×#41	1	4	yes	—
911	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
912	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
913	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
914	C₂×D₄	—	2	8	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	C₅×#41	1	4	yes	—
923	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
924	C₂×D₄	C₂⁴×C₅	1	2	yes	—
925	C₂²×C₄	—	2	8	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
942	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
943	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
944	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
945	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
946	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
949	Q₁₆	—	2	4	no	—
950	Q₁₆	—	2	4	no	—
951	Q₁₆	—	2	4	no	—
952	SD₁₆	—	2	4	no	—
953	SD₁₆	—	2	4	no	—
954	SD₁₆	—	2	4	no	—
955	SD₁₆	—	2	4	no	—
956	D₈	—	2	4	no	—
957	M₁₆	—	2	2	no	—
958	M₁₆	—	2	2	no	—
959	C₂×C₈	—	2	2	no	—
960	C₂×C₈	—	2	2	no	—
961	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
962	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
963	C₂×C₈	C₂⁴×C₅	1	2	yes	—
964	C₂×C₈	C₂⁴×C₅	1	2	yes	—
965	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
966	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
987	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
988	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
989	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
990	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
991	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
992	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
993	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
994	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
997	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
998	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	1	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1018	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1019	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1020	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	2	no	—
1030	C₄²	—	2	2	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	C₂×C₅×D₄	1	2	yes	—
1034	C₄²	C₂×C₅×D₄	1	2	yes	—
1035	C₄²	C₂⁴×C₅	1	2	yes	—
1036	C₄²	C₂⁴×C₅	1	2	yes	—
1037	C₂×C₅	—	2	2	no	—
1038	C₂×C₅	—	4	1	no	—
1039	C₂×C₅	—	4	1	no	—
1040	C₂×C₅	—	4	4	no	—
1041	C₂×C₅	—	8	1	no	—
1042	C₂×C₅	C₂×#525	1	1	yes	characteristic
1043	C₂×C₅	#3584	1	1	yes	characteristic
1044	C₂×C₅	#3586	1	1	yes	characteristic
1045	C₂³	—	2	2	no	—
1046	C₂³	—	2	2	no	—
1047	C₂³	—	2	4	no	—
1048	C₂³	—	2	1	no	—
1049	C₂³	—	4	1	no	—
1050	C₂³	—	4	1	no	—
1051	C₂³	—	8	1	no	—
1052	C₂³	—	8	1	no	—
1053	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1054	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1055	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1056	Q₈	—	2	4	no	—
1057	Q₈	—	2	2	no	—
1058	Q₈	—	2	2	no	—
1059	Q₈	—	2	1	no	—
1060	Q₈	—	2	2	no	—
1061	Q₈	—	2	1	no	—
1062	Q₈	—	4	2	no	—
1063	Q₈	—	8	2	no	—
1064	Q₈	C₂×C₅×#41	1	4	yes	—
1065	D₄	—	2	8	no	—
1066	D₄	—	2	8	no	—
1067	D₄	—	2	4	no	—
1068	D₄	—	2	2	no	—
1069	D₄	—	2	1	no	—
1070	D₄	—	2	1	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	8	1	no	—
1074	D₄	C₂×C₅×#41	1	4	yes	—
1075	C₂×C₄	—	2	8	no	—
1076	C₂×C₄	—	2	8	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	4	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	—	8	2	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	—	8	1	no	—
1105	C₂×C₄	—	8	1	no	—
1106	C₂×C₄	—	8	1	no	—
1107	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1108	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1109	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1110	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1111	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1112	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1113	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1114	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1115	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1116	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
1117	C₈	—	2	1	no	—
1118	C₈	—	2	1	no	—
1119	C₈	—	2	1	no	—
1120	C₈	—	2	1	no	—
1121	C₈	—	2	2	no	—
1122	C₈	—	2	2	no	—
1123	C₅	#60581	1	1	yes	characteristic, direct product factor, Sylow
1124	C₂²	—	2	1	no	—
1125	C₂²	—	2	1	no	—
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	4	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	8	2	no	—
1139	C₂²	—	8	4	no	—
1140	C₂²	C₅×#525	1	2	yes	—
1141	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1142	C₄	—	2	1	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	4	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	2	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	1	no	—
1156	C₄	—	4	1	no	—
1157	C₄	—	4	1	no	—
1158	C₄	C₅×#525	1	2	yes	—
1159	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1160	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1161	C₂	—	2	2	no	—
1162	C₂	—	4	1	no	—
1163	C₂	—	4	1	no	—
1164	C₂	—	4	4	no	—
1165	C₂	—	8	1	no	—
1166	C₂	C₂×C₅×#525	1	1	yes	characteristic
1167	C₂	C₅×#3584	1	1	yes	characteristic
1168	C₂	C₅×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
prime radical	C₅×#3005	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅ ◁ C₂×C₅×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#3495	C₂	semidirect
2. C₅×#3428	C₂	semidirect
3. C₅×#3125	C₂	semidirect
4. C₅×#3124	C₂	semidirect
5. C₅×#3120	C₂	semidirect
6. C₅×#3120	C₂	semidirect
7. C₅×#3116	C₂	semidirect
8. C₅×#3111	C₂	semidirect
9. C₅×#3107	C₂	semidirect
10. C₅×#3102	C₂	semidirect
11. C₅×#3095	C₂	semidirect
12. C₅×#3091	C₂	semidirect
13. C₅×#3082	C₂	semidirect
14. C₅×#3081	C₂	semidirect
15. C₅×#3044	C₂	semidirect
16. C₅×#3042	C₂	semidirect
18. C₂×C₅×#452	C₂	semidirect
19. C₅×#2950	C₂	semidirect
20. C₅×#2949	C₂	semidirect
21. C₅×#2947	C₂	semidirect
22. C₅×#2946	C₂	semidirect
23. C₅×#2924	C₂	semidirect
36. C₅×#542	C₂²	semidirect
37. C₅×#541	C₂²	semidirect
39. C₅×#533	C₂²	semidirect
40. C₅×#529	C₂²	semidirect
61. C₅×#485	C₂²	semidirect
62. C₅×#485	C₂²	semidirect
63. C₅×#485	C₂²	semidirect
64. C₅×#485	C₂²	semidirect
65. C₅×#484	C₂²	semidirect
66. C₅×#484	C₂²	semidirect
67. C₅×#483	C₂²	semidirect
68. C₅×#483	C₂²	semidirect
69. C₅×#482	C₂²	semidirect
70. C₅×#482	C₂²	semidirect
71. C₅×#481	C₂²	semidirect
72. C₅×#480	C₂²	semidirect
73. C₅×#479	C₂²	semidirect
74. C₅×#479	C₂²	semidirect
75. C₅×#478	C₂²	semidirect
76. C₅×#478	C₂²	semidirect
77. C₅×#477	C₂²	semidirect
78. C₅×#476	C₂²	semidirect
79. C₅×#475	C₂²	semidirect
80. C₅×#474	C₂²	semidirect
81. C₅×#464	C₂²	semidirect
82. C₅×#464	C₂²	semidirect
83. C₅×#463	C₂²	semidirect
84. C₅×#463	C₂²	semidirect
85. C₅×#462	C₂²	semidirect
86. C₅×#462	C₂²	semidirect
87. C₅×#461	C₂²	semidirect
88. C₅×#461	C₂²	semidirect
97. C₅×#442	C₂²	semidirect
98. C₅×#441	C₂²	semidirect
99. C₅×#441	C₂²	semidirect
100. C₅×#441	C₂²	semidirect
101. C₅×#440	C₂²	semidirect
102. C₅×#440	C₂²	semidirect
103. C₅×#440	C₂²	semidirect
104. C₅×#440	C₂²	semidirect
105. C₄×C₅×Q₁₆	C₂²	semidirect
106. C₄×C₅×Q₁₆	C₂²	semidirect
107. C₄×C₅×Q₁₆	C₂²	semidirect
108. C₄×C₅×SD₁₆	C₂²	semidirect
109. C₄×C₅×SD₁₆	C₂²	semidirect
110. C₄×C₅×SD₁₆	C₂²	semidirect
111. C₄×C₅×SD₁₆	C₂²	semidirect
112. C₄×C₅×D₈	C₂²	semidirect
113. C₅×#433	C₂²	semidirect
114. C₅×#433	C₂²	semidirect
115. C₅×#432	C₂²	semidirect
116. C₅×#431	C₂²	semidirect
135. #60581	C₅	direct (N × H)
319. #3495	C₂×C₅	semidirect
320. #3428	C₂×C₅	semidirect
321. #3125	C₂×C₅	semidirect
322. #3124	C₂×C₅	semidirect
323. #3120	C₂×C₅	semidirect
324. #3120	C₂×C₅	semidirect
325. #3116	C₂×C₅	semidirect
326. #3111	C₂×C₅	semidirect
327. #3107	C₂×C₅	semidirect
328. #3102	C₂×C₅	semidirect
329. #3095	C₂×C₅	semidirect
330. #3091	C₂×C₅	semidirect
331. #3082	C₂×C₅	semidirect
332. #3081	C₂×C₅	semidirect
333. #3044	C₂×C₅	semidirect
334. #3042	C₂×C₅	semidirect
336. C₂×#452	C₂×C₅	semidirect
337. #2950	C₂×C₅	semidirect
338. #2949	C₂×C₅	semidirect
339. #2947	C₂×C₅	semidirect
340. #2946	C₂×C₅	semidirect
341. #2924	C₂×C₅	semidirect
497. #542	C₂²×C₅	semidirect
498. #541	C₂²×C₅	semidirect
500. #533	C₂²×C₅	semidirect
501. #529	C₂²×C₅	semidirect
522. #485	C₂²×C₅	semidirect
523. #485	C₂²×C₅	semidirect
524. #485	C₂²×C₅	semidirect
525. #485	C₂²×C₅	semidirect
526. #484	C₂²×C₅	semidirect
527. #484	C₂²×C₅	semidirect
528. #483	C₂²×C₅	semidirect
529. #483	C₂²×C₅	semidirect
530. #482	C₂²×C₅	semidirect
531. #482	C₂²×C₅	semidirect
532. #481	C₂²×C₅	semidirect
533. #480	C₂²×C₅	semidirect
534. #479	C₂²×C₅	semidirect
535. #479	C₂²×C₅	semidirect
536. #478	C₂²×C₅	semidirect
537. #478	C₂²×C₅	semidirect
538. #477	C₂²×C₅	semidirect
539. #476	C₂²×C₅	semidirect
540. #475	C₂²×C₅	semidirect
541. #474	C₂²×C₅	semidirect
542. #464	C₂²×C₅	semidirect
543. #464	C₂²×C₅	semidirect
544. #463	C₂²×C₅	semidirect
545. #463	C₂²×C₅	semidirect
546. #462	C₂²×C₅	semidirect
547. #462	C₂²×C₅	semidirect
548. #461	C₂²×C₅	semidirect
549. #461	C₂²×C₅	semidirect
558. #442	C₂²×C₅	semidirect
559. #441	C₂²×C₅	semidirect
560. #441	C₂²×C₅	semidirect
561. #441	C₂²×C₅	semidirect
562. #440	C₂²×C₅	semidirect
563. #440	C₂²×C₅	semidirect
564. #440	C₂²×C₅	semidirect
565. #440	C₂²×C₅	semidirect
566. C₄×Q₁₆	C₂²×C₅	semidirect
567. C₄×Q₁₆	C₂²×C₅	semidirect
568. C₄×Q₁₆	C₂²×C₅	semidirect
569. C₄×SD₁₆	C₂²×C₅	semidirect
570. C₄×SD₁₆	C₂²×C₅	semidirect
571. C₄×SD₁₆	C₂²×C₅	semidirect
572. C₄×SD₁₆	C₂²×C₅	semidirect
573. C₄×D₈	C₂²×C₅	semidirect
574. #433	C₂²×C₅	semidirect
575. #433	C₂²×C₅	semidirect
576. #432	C₂²×C₅	semidirect
577. #431	C₂²×C₅	semidirect
1123. C₅	#60581	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#3495	2
C₅×#3428	2
C₅×#3125	2
C₅×#3124	2
C₅×#3120	2
C₅×#3116	2
C₅×#3111	2
C₅×#3107	2
C₅×#3102	2
C₅×#3095	2
C₅×#3091	2
C₅×#3082	2
C₅×#3081	2
C₅×#3044	2
C₅×#3042	2
C₅×#3005	2
C₂×C₅×#452	2
C₅×#2950	2
C₅×#2949	2
C₅×#2947	2
C₅×#2946	2
C₅×#2924	2
#60581	5

Subgroups — C5×#60581 #11983301

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#60581 #11983301