Subgroups — C₅×#60580 #11983300

Order 1280.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1198 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3494	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×#3119	C₂	1	2	yes	maximal, complemented
6	C₅×#3119	C₂	1	2	yes	maximal, complemented
7	C₅×#3115	C₂	1	2	yes	maximal, complemented
8	C₅×#3111	C₂	1	2	yes	maximal, complemented
9	C₅×#3106	C₂	1	2	yes	maximal, complemented
10	C₅×#3102	C₂	1	2	yes	maximal, complemented
11	C₅×#3094	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×#3043	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3041	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#3005	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₅×#449	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2949	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2948	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×SD₁₆	C₂²	1	1	yes	characteristic
28	C₂²×C₅×D₈	C₂²	1	1	yes	characteristic
29	C₅×#555	—	2	1	no	—
30	C₅×#553	—	2	1	no	—
31	C₅×#553	—	2	1	no	—
32	C₅×#551	—	2	2	no	—
33	C₅×#547	—	2	1	no	—
34	C₅×#546	—	2	2	no	—
35	C₅×#544	C₂²	1	1	yes	characteristic
36	C₅×#542	C₂²	1	2	yes	complemented
37	C₅×#540	C₂²	1	2	yes	complemented
38	C₅×#535	C₂²	1	1	yes	characteristic
39	C₅×#532	C₂²	1	2	yes	complemented
40	C₅×#529	C₂²	1	2	yes	complemented
41	C₅×#525	C₂²	1	1	yes	characteristic
42	C₂×C₅×#121	C₂²	1	1	yes	characteristic
43	C₅×#520	—	2	1	no	—
44	C₅×#520	—	2	1	no	—
45	C₅×#520	C₂²	1	1	yes	characteristic
46	C₅×#520	C₂²	1	2	yes	complemented
47	C₅×#520	C₂²	1	2	yes	complemented
48	C₅×#519	C₂²	1	1	yes	characteristic
49	C₅×#519	C₂²	1	1	yes	characteristic
50	C₅×#518	—	2	2	no	—
51	C₅×#518	C₂²	1	1	yes	characteristic
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	complemented
57	C₄×C₅×#41	C₂²	1	2	yes	complemented
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×#484	C₂²	1	1	yes	characteristic, complemented
64	C₅×#483	C₂²	1	1	yes	characteristic, complemented
65	C₅×#482	C₂²	1	1	yes	characteristic, complemented
66	C₅×#482	C₂²	1	1	yes	characteristic, complemented
67	C₅×#482	C₂²	1	2	yes	complemented
68	C₅×#482	C₂²	1	2	yes	complemented
69	C₅×#481	C₂²	1	1	yes	characteristic, complemented
70	C₅×#481	C₂²	1	2	yes	complemented
71	C₅×#480	C₂²	1	1	yes	characteristic, complemented
72	C₅×#480	C₂²	1	2	yes	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×#460	C₂²	1	2	yes	complemented
86	C₅×#460	C₂²	1	2	yes	complemented
87	C₅×#459	C₂²	1	2	yes	complemented
88	C₅×#459	C₂²	1	2	yes	complemented
89	C₅×#452	C₂²	1	2	yes	complemented
90	C₅×#452	C₂²	1	2	yes	complemented
91	C₅×#449	C₂²	1	2	yes	—
92	C₅×#449	C₂²	1	2	yes	—
93	C₅×#449	C₂²	1	2	yes	—
94	C₅×#449	C₂²	1	2	yes	—
95	C₅×#449	C₂²	1	2	yes	complemented
96	C₅×#449	C₂²	1	2	yes	complemented
97	C₅×#442	C₂²	1	2	yes	complemented
98	C₅×#442	C₂²	1	2	yes	complemented
99	C₅×#442	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×SD₁₆	C₂²	1	2	yes	complemented
107	C₄×C₅×SD₁₆	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×D₈	C₂²	1	2	yes	complemented
111	C₄×C₅×D₈	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×#418	C₂²	1	1	yes	characteristic
125	C₅×#418	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	#60580	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	—	2	2	no	—
141	C₂×C₅×#41	C₂³	1	1	yes	characteristic
142	C₂×C₅×#41	C₂³	1	2	yes	—
143	C₂×C₅×#41	C₂³	1	2	yes	—
144	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
145	C₂²×C₅×D₄	—	2	1	no	—
146	C₂²×C₅×D₄	—	2	1	no	—
147	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
148	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₅	—	2	1	no	—
150	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
151	C₅×#137	—	2	4	no	—
152	C₅×AGL(1,ℤ/8)	—	2	4	no	—
153	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₅×SD₁₆	—	2	4	no	—
155	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
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×D₈	—	2	4	no	—
160	C₂×C₅×D₈	C₂³	1	2	yes	—
161	C₂×C₅×D₈	C₂³	1	2	yes	—
162	C₂×C₅×D₈	C₂³	1	2	yes	—
163	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
165	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
166	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
167	C₅×C₄⋊Q₈	—	2	1	no	—
168	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₅×#127	C₂³	1	2	yes	—
170	C₅×#126	—	2	2	no	—
171	C₅×#126	—	2	2	no	—
172	C₅×#125	—	2	1	no	—
173	C₅×#125	C₂³	1	2	yes	—
174	C₅×#124	—	2	2	no	—
175	C₅×#124	—	2	2	no	—
176	C₅×#124	C₂³	1	2	yes	—
177	C₅×#123	—	2	1	no	—
178	C₅×#123	—	2	2	no	—
179	C₅×#123	—	2	2	no	—
180	C₅×#123	—	2	2	no	—
181	C₅×#123	—	2	2	no	—
182	C₅×C₂²⋊Q₈	—	2	2	no	—
183	C₅×C₂²⋊Q₈	—	2	2	no	—
184	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
185	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
186	C₅×#121	—	2	1	no	—
187	C₅×#121	—	2	1	no	—
188	C₅×#121	—	2	2	no	—
189	C₅×#121	—	2	1	no	—
190	C₅×#121	—	2	1	no	—
191	C₅×#121	—	2	2	no	—
192	C₅×#121	—	2	2	no	—
193	C₅×#121	C₂³	1	2	yes	—
194	C₅×#121	C₂³	1	2	yes	—
195	C₅×#121	C₂³	1	1	yes	characteristic
196	C₅×#121	C₂³	1	1	yes	characteristic
197	C₅×#120	—	2	1	no	—
198	C₅×#120	—	2	2	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	C₂³	1	2	yes	—
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×D₄	—	2	2	no	—
209	C₄×C₅×D₄	—	2	2	no	—
210	C₄×C₅×D₄	—	2	2	no	—
211	C₄×C₅×D₄	—	2	2	no	—
212	C₄×C₅×D₄	—	2	1	no	—
213	C₄×C₅×D₄	—	2	1	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	1	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	2	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	C₄×C₅×D₄	C₂³	1	2	yes	—
233	C₄×C₅×D₄	C₂³	1	2	yes	—
234	C₅×#117	—	2	1	no	—
235	C₅×#117	—	2	1	no	—
236	C₅×#117	—	2	2	no	—
237	C₅×#117	—	2	2	no	—
238	C₅×#117	—	2	1	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	2	no	—
256	C₂×C₅×C₄⋊C₄	—	2	2	no	—
257	C₂×C₅×C₄⋊C₄	—	2	1	no	—
258	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
259	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
260	C₂×C₅×C₄⋊C₄	C₂³	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×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₅×C₂²⋊C₄	—	2	2	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×#102	C₂³	1	2	yes	—
298	C₅×#102	C₂³	1	2	yes	—
299	C₅×#102	C₂³	1	1	yes	characteristic
300	C₅×#102	C₂³	1	1	yes	characteristic
301	C₅×#102	C₂³	1	1	yes	characteristic
302	C₅×#102	C₂³	1	1	yes	characteristic
303	C₅×#102	C₂³	1	2	yes	—
304	C₅×#102	C₂³	1	2	yes	—
305	C₅×#102	C₂³	1	2	yes	—
306	C₅×#102	C₂³	1	2	yes	—
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	#3494	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	#3119	C₂×C₅	1	2	yes	complemented
324	#3119	C₂×C₅	1	2	yes	complemented
325	#3115	C₂×C₅	1	2	yes	complemented
326	#3111	C₂×C₅	1	2	yes	complemented
327	#3106	C₂×C₅	1	2	yes	complemented
328	#3102	C₂×C₅	1	2	yes	complemented
329	#3094	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	#3043	C₂×C₅	1	1	yes	characteristic, complemented
334	#3041	C₂×C₅	1	1	yes	characteristic, complemented
335	#3005	C₂×C₅	1	1	yes	characteristic, complemented
336	C₂×#449	C₂×C₅	1	1	yes	characteristic, complemented
337	#2949	C₂×C₅	1	1	yes	characteristic, complemented
338	#2948	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	—	2	1	no	—
344	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
345	C₅×#41	—	2	8	no	—
346	C₅×#41	—	2	8	no	—
347	C₅×#41	—	2	4	no	—
348	C₅×#41	—	2	4	no	—
349	C₅×#41	—	2	4	no	—
350	C₅×#41	—	2	4	no	—
351	C₅×#41	—	2	2	no	—
352	C₅×#41	—	2	2	no	—
353	C₅×#41	—	8	4	no	—
354	C₂×C₅×Q₈	—	2	1	no	—
355	C₂×C₅×Q₈	—	2	2	no	—
356	C₂×C₅×Q₈	—	2	2	no	—
357	C₂×C₅×Q₈	#41	1	4	yes	complemented
358	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
359	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
360	C₂×C₅×D₄	—	2	8	no	—
361	C₂×C₅×D₄	—	2	2	no	—
362	C₂×C₅×D₄	—	2	2	no	—
363	C₂×C₅×D₄	—	2	1	no	—
364	C₂×C₅×D₄	—	2	1	no	—
365	C₂×C₅×D₄	—	2	2	no	—
366	C₂×C₅×D₄	—	2	1	no	—
367	C₂×C₅×D₄	—	2	2	no	—
368	C₂×C₅×D₄	—	2	1	no	—
369	C₂×C₅×D₄	—	2	1	no	—
370	C₂×C₅×D₄	—	2	2	no	—
371	C₂×C₅×D₄	—	2	2	no	—
372	C₂×C₅×D₄	—	2	2	no	—
373	C₂×C₅×D₄	—	2	2	no	—
374	C₂×C₅×D₄	—	2	2	no	—
375	C₂×C₅×D₄	—	8	2	no	—
376	C₂×C₅×D₄	#41	1	4	yes	complemented
377	C₂×C₅×D₄	C₂⁴	1	2	yes	—
378	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
379	C₂×C₅×D₄	C₂⁴	1	2	yes	—
380	C₂²×C₄×C₅	—	2	8	no	—
381	C₂²×C₄×C₅	—	2	1	no	—
382	C₂²×C₄×C₅	—	2	2	no	—
383	C₂²×C₄×C₅	—	2	2	no	—
384	C₂²×C₄×C₅	—	2	2	no	—
385	C₂²×C₄×C₅	—	2	2	no	—
386	C₂²×C₄×C₅	—	2	1	no	—
387	C₂²×C₄×C₅	—	2	1	no	—
388	C₂²×C₄×C₅	—	2	1	no	—
389	C₂²×C₄×C₅	—	2	1	no	—
390	C₂²×C₄×C₅	—	2	2	no	—
391	C₂²×C₄×C₅	—	2	2	no	—
392	C₂²×C₄×C₅	—	2	2	no	—
393	C₂²×C₄×C₅	—	2	2	no	—
394	C₂²×C₄×C₅	—	2	2	no	—
395	C₂²×C₄×C₅	—	2	2	no	—
396	C₂²×C₄×C₅	—	2	2	no	—
397	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
400	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
401	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₅×Q₁₆	—	2	4	no	—
406	C₅×SD₁₆	—	2	4	no	—
407	C₅×SD₁₆	—	2	4	no	—
408	C₅×SD₁₆	—	2	4	no	—
409	C₅×SD₁₆	—	2	4	no	—
410	C₅×D₈	—	2	4	no	—
411	C₅×D₈	—	2	4	no	—
412	C₅×D₈	—	2	4	no	—
413	C₅×M₁₆	—	2	2	no	—
414	C₅×M₁₆	—	2	2	no	—
415	C₂×C₅×C₈	—	2	2	no	—
416	C₂×C₅×C₈	—	2	2	no	—
417	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
418	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
419	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
420	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
421	C₂×C₅×C₈	C₂⁴	1	2	yes	—
422	C₂×C₅×C₈	C₂⁴	1	2	yes	—
423	C₅×C₄⋊C₄	—	2	1	no	—
424	C₅×C₄⋊C₄	—	2	1	no	—
425	C₅×C₄⋊C₄	—	2	1	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	2	no	—
431	C₅×C₄⋊C₄	—	2	1	no	—
432	C₅×C₄⋊C₄	—	2	2	no	—
433	C₅×C₄⋊C₄	—	2	2	no	—
434	C₅×C₄⋊C₄	—	2	2	no	—
435	C₅×C₄⋊C₄	—	2	1	no	—
436	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
437	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
438	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
439	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
440	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₅×C₄⋊C₄	C₂×D₄	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	1	yes	characteristic
445	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
446	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
447	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
449	C₅×C₂²⋊C₄	—	2	1	no	—
450	C₅×C₂²⋊C₄	—	2	1	no	—
451	C₅×C₂²⋊C₄	—	2	1	no	—
452	C₅×C₂²⋊C₄	—	2	1	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	2	no	—
461	C₅×C₂²⋊C₄	—	2	2	no	—
462	C₅×C₂²⋊C₄	—	2	2	no	—
463	C₅×C₂²⋊C₄	—	2	2	no	—
464	C₅×C₂²⋊C₄	—	2	2	no	—
465	C₅×C₂²⋊C₄	—	2	2	no	—
466	C₅×C₂²⋊C₄	—	2	1	no	—
467	C₅×C₂²⋊C₄	—	2	2	no	—
468	C₅×C₂²⋊C₄	—	2	1	no	—
469	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
470	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
471	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
472	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
473	C₄²×C₅	—	2	1	no	—
474	C₄²×C₅	—	2	1	no	—
475	C₄²×C₅	—	2	2	no	—
476	C₄²×C₅	—	2	2	no	—
477	C₄²×C₅	—	2	2	no	—
478	C₄²×C₅	—	2	2	no	—
479	C₄²×C₅	—	2	1	no	—
480	C₄²×C₅	—	2	1	no	—
481	C₄²×C₅	—	2	2	no	—
482	C₄²×C₅	—	2	1	no	—
483	C₄²×C₅	C₂×D₄	1	2	yes	—
484	C₄²×C₅	C₂×D₄	1	2	yes	—
485	C₄²×C₅	C₂⁴	1	2	yes	—
486	C₄²×C₅	C₂⁴	1	2	yes	—
487	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
488	C₂×#137	C₂²×C₅	1	1	yes	characteristic
489	C₂×AGL(1,ℤ/8)	C₂²×C₅	1	1	yes	characteristic
490	C₂²×SD₁₆	C₂²×C₅	1	1	yes	characteristic
491	C₂²×D₈	C₂²×C₅	1	1	yes	characteristic
492	#555	—	2	1	no	—
493	#553	—	2	1	no	—
494	#553	—	2	1	no	—
495	#551	—	2	2	no	—
496	#547	—	2	1	no	—
497	#546	—	2	2	no	—
498	#544	C₂²×C₅	1	1	yes	characteristic
499	#542	C₂²×C₅	1	2	yes	complemented
500	#540	C₂²×C₅	1	2	yes	complemented
501	#535	C₂²×C₅	1	1	yes	characteristic
502	#532	C₂²×C₅	1	2	yes	complemented
503	#529	C₂²×C₅	1	2	yes	complemented
504	#525	C₂²×C₅	1	1	yes	characteristic
505	C₂×#121	C₂²×C₅	1	1	yes	characteristic
506	#520	—	2	1	no	—
507	#520	—	2	1	no	—
508	#520	C₂²×C₅	1	1	yes	characteristic
509	#520	C₂²×C₅	1	2	yes	complemented
510	#520	C₂²×C₅	1	2	yes	complemented
511	#519	C₂²×C₅	1	1	yes	characteristic
512	#519	C₂²×C₅	1	1	yes	characteristic
513	#518	—	2	2	no	—
514	#518	C₂²×C₅	1	1	yes	characteristic
515	#518	C₂²×C₅	1	1	yes	characteristic
516	#518	C₂²×C₅	1	1	yes	characteristic
517	C₄×#41	—	2	1	no	—
518	C₄×#41	—	2	1	no	—
519	C₄×#41	C₂²×C₅	1	2	yes	complemented
520	C₄×#41	C₂²×C₅	1	2	yes	complemented
521	C₂×#117	—	2	2	no	—
522	C₂×#117	C₂²×C₅	1	1	yes	characteristic
523	C₂×#117	C₂²×C₅	1	1	yes	characteristic
524	#485	C₂²×C₅	1	1	yes	characteristic, complemented
525	#485	C₂²×C₅	1	1	yes	characteristic, complemented
526	#484	C₂²×C₅	1	1	yes	characteristic, complemented
527	#483	C₂²×C₅	1	1	yes	characteristic, complemented
528	#482	C₂²×C₅	1	1	yes	characteristic, complemented
529	#482	C₂²×C₅	1	1	yes	characteristic, complemented
530	#482	C₂²×C₅	1	2	yes	complemented
531	#482	C₂²×C₅	1	2	yes	complemented
532	#481	C₂²×C₅	1	1	yes	characteristic, complemented
533	#481	C₂²×C₅	1	2	yes	complemented
534	#480	C₂²×C₅	1	1	yes	characteristic, complemented
535	#480	C₂²×C₅	1	2	yes	complemented
536	#479	C₂²×C₅	1	2	yes	complemented
537	#479	C₂²×C₅	1	2	yes	complemented
538	#478	C₂²×C₅	1	2	yes	complemented
539	#478	C₂²×C₅	1	2	yes	complemented
540	#477	C₂²×C₅	1	2	yes	complemented
541	#476	C₂²×C₅	1	2	yes	complemented
542	#475	C₂²×C₅	1	2	yes	complemented
543	#474	C₂²×C₅	1	2	yes	complemented
544	#464	C₂²×C₅	1	2	yes	complemented
545	#464	C₂²×C₅	1	2	yes	complemented
546	#463	C₂²×C₅	1	2	yes	complemented
547	#463	C₂²×C₅	1	2	yes	complemented
548	#460	C₂²×C₅	1	2	yes	complemented
549	#460	C₂²×C₅	1	2	yes	complemented
550	#459	C₂²×C₅	1	2	yes	complemented
551	#459	C₂²×C₅	1	2	yes	complemented
552	#452	C₂²×C₅	1	2	yes	complemented
553	#452	C₂²×C₅	1	2	yes	complemented
554	#449	C₂²×C₅	1	2	yes	—
555	#449	C₂²×C₅	1	2	yes	—
556	#449	C₂²×C₅	1	2	yes	—
557	#449	C₂²×C₅	1	2	yes	—
558	#449	C₂²×C₅	1	2	yes	complemented
559	#449	C₂²×C₅	1	2	yes	complemented
560	#442	C₂²×C₅	1	2	yes	complemented
561	#442	C₂²×C₅	1	2	yes	complemented
562	#442	C₂²×C₅	1	2	yes	complemented
563	#441	C₂²×C₅	1	2	yes	complemented
564	#440	C₂²×C₅	1	2	yes	complemented
565	#440	C₂²×C₅	1	2	yes	complemented
566	#440	C₂²×C₅	1	2	yes	complemented
567	#440	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	C₄×D₈	C₂²×C₅	1	2	yes	complemented
575	C₄×D₈	C₂²×C₅	1	2	yes	complemented
576	#433	C₂²×C₅	1	2	yes	complemented
577	#433	C₂²×C₅	1	2	yes	complemented
578	#432	C₂²×C₅	1	2	yes	complemented
579	#431	C₂²×C₅	1	2	yes	complemented
580	#428	C₂²×C₅	1	1	yes	characteristic
581	#428	C₂²×C₅	1	1	yes	characteristic
582	#427	C₂²×C₅	1	1	yes	characteristic
583	#427	C₂²×C₅	1	1	yes	characteristic
584	#424	C₂²×C₅	1	1	yes	characteristic
585	#424	C₂²×C₅	1	1	yes	characteristic
586	#419	C₂²×C₅	1	1	yes	characteristic
587	#418	C₂²×C₅	1	1	yes	characteristic
588	#418	C₂²×C₅	1	1	yes	characteristic
589	#418	C₂²×C₅	1	1	yes	characteristic
590	#416	C₂²×C₅	1	1	yes	characteristic
591	#416	C₂²×C₅	1	1	yes	characteristic
592	C₂×#103	C₂²×C₅	1	1	yes	characteristic
593	C₂×#102	C₂²×C₅	1	1	yes	characteristic
594	#407	C₂²×C₅	1	1	yes	characteristic
595	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
596	#405	C₂²×C₅	1	1	yes	characteristic
597	#405	C₂²×C₅	1	1	yes	characteristic
598	C₂³×C₅	—	2	2	no	—
599	C₂³×C₅	—	2	2	no	—
600	C₂³×C₅	—	2	4	no	—
601	C₂³×C₅	—	2	2	no	—
602	C₂³×C₅	—	2	1	no	—
603	C₂³×C₅	—	4	1	no	—
604	C₂³×C₅	—	4	1	no	—
605	C₂³×C₅	—	4	2	no	—
606	C₂³×C₅	—	8	1	no	—
607	C₂³×C₅	—	8	1	no	—
608	C₂³×C₅	—	8	1	no	—
609	C₂³×C₅	—	8	1	no	—
610	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
611	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
612	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
613	C₅×Q₈	—	2	4	no	—
614	C₅×Q₈	—	2	2	no	—
615	C₅×Q₈	—	2	1	no	—
616	C₅×Q₈	—	2	1	no	—
617	C₅×Q₈	—	8	2	no	—
618	C₅×Q₈	C₂×#41	1	4	yes	—
619	C₅×D₄	—	2	8	no	—
620	C₅×D₄	—	2	8	no	—
621	C₅×D₄	—	2	4	no	—
622	C₅×D₄	—	2	2	no	—
623	C₅×D₄	—	2	2	no	—
624	C₅×D₄	—	2	1	no	—
625	C₅×D₄	—	2	2	no	—
626	C₅×D₄	—	2	1	no	—
627	C₅×D₄	—	4	4	no	—
628	C₅×D₄	—	4	2	no	—
629	C₅×D₄	—	4	2	no	—
630	C₅×D₄	—	4	2	no	—
631	C₅×D₄	—	8	2	no	—
632	C₅×D₄	—	8	2	no	—
633	C₅×D₄	—	8	1	no	—
634	C₅×D₄	—	8	2	no	—
635	C₅×D₄	C₂×#41	1	4	yes	—
636	C₂×C₄×C₅	—	2	8	no	—
637	C₂×C₄×C₅	—	2	8	no	—
638	C₂×C₄×C₅	—	2	2	no	—
639	C₂×C₄×C₅	—	2	4	no	—
640	C₂×C₄×C₅	—	2	2	no	—
641	C₂×C₄×C₅	—	2	2	no	—
642	C₂×C₄×C₅	—	2	2	no	—
643	C₂×C₄×C₅	—	2	1	no	—
644	C₂×C₄×C₅	—	2	1	no	—
645	C₂×C₄×C₅	—	2	1	no	—
646	C₂×C₄×C₅	—	2	1	no	—
647	C₂×C₄×C₅	—	2	1	no	—
648	C₂×C₄×C₅	—	2	1	no	—
649	C₂×C₄×C₅	—	2	1	no	—
650	C₂×C₄×C₅	—	2	1	no	—
651	C₂×C₄×C₅	—	2	1	no	—
652	C₂×C₄×C₅	—	2	1	no	—
653	C₂×C₄×C₅	—	2	1	no	—
654	C₂×C₄×C₅	—	2	2	no	—
655	C₂×C₄×C₅	—	4	2	no	—
656	C₂×C₄×C₅	—	4	2	no	—
657	C₂×C₄×C₅	—	4	2	no	—
658	C₂×C₄×C₅	—	8	2	no	—
659	C₂×C₄×C₅	—	8	2	no	—
660	C₂×C₄×C₅	—	8	2	no	—
661	C₂×C₄×C₅	—	8	2	no	—
662	C₂×C₄×C₅	—	8	2	no	—
663	C₂×C₄×C₅	—	8	2	no	—
664	C₂×C₄×C₅	—	8	2	no	—
665	C₂×C₄×C₅	—	8	1	no	—
666	C₂×C₄×C₅	—	8	1	no	—
667	C₂×C₄×C₅	—	8	1	no	—
668	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
669	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
670	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
671	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
672	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
673	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
674	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
675	C₂×C₄×C₅	C₂×#41	1	2	yes	—
676	C₂×C₄×C₅	C₂×#41	1	2	yes	—
677	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
678	C₅×C₈	—	2	1	no	—
679	C₅×C₈	—	2	1	no	—
680	C₅×C₈	—	2	1	no	—
681	C₅×C₈	—	2	1	no	—
682	C₅×C₈	—	2	2	no	—
683	C₅×C₈	—	2	2	no	—
684	C₂×#41	—	2	4	no	—
685	C₂×#41	—	2	4	no	—
686	C₂×#41	—	2	1	no	—
687	C₂×#41	—	2	1	no	—
688	C₂×#41	—	2	2	no	—
689	C₂×#41	C₂³×C₅	1	2	yes	—
690	C₂×#41	C₂³×C₅	1	1	yes	characteristic
691	C₂×#41	C₂³×C₅	1	2	yes	—
692	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
693	C₂²×D₄	—	2	1	no	—
694	C₂²×D₄	—	2	1	no	—
695	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
696	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
697	C₂³×C₄	—	2	1	no	—
698	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
699	#137	—	2	4	no	—
700	AGL(1,ℤ/8)	—	2	4	no	—
701	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
702	C₂×SD₁₆	—	2	4	no	—
703	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
707	C₂×D₈	—	2	4	no	—
708	C₂×D₈	C₂³×C₅	1	2	yes	—
709	C₂×D₈	C₂³×C₅	1	2	yes	—
710	C₂×D₈	C₂³×C₅	1	2	yes	—
711	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
712	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
713	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
714	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
717	#127	C₂³×C₅	1	2	yes	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#125	—	2	1	no	—
721	#125	C₂³×C₅	1	2	yes	—
722	#124	—	2	2	no	—
723	#124	—	2	2	no	—
724	#124	C₂³×C₅	1	2	yes	—
725	#123	—	2	1	no	—
726	#123	—	2	2	no	—
727	#123	—	2	2	no	—
728	#123	—	2	2	no	—
729	#123	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
733	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
734	#121	—	2	1	no	—
735	#121	—	2	1	no	—
736	#121	—	2	2	no	—
737	#121	—	2	1	no	—
738	#121	—	2	1	no	—
739	#121	—	2	2	no	—
740	#121	—	2	2	no	—
741	#121	C₂³×C₅	1	2	yes	—
742	#121	C₂³×C₅	1	2	yes	—
743	#121	C₂³×C₅	1	1	yes	characteristic
744	#121	C₂³×C₅	1	1	yes	characteristic
745	#120	—	2	1	no	—
746	#120	—	2	2	no	—
747	C₄×Q₈	—	2	1	no	—
748	C₄×Q₈	—	2	1	no	—
749	C₄×Q₈	—	2	1	no	—
750	C₄×Q₈	—	2	1	no	—
751	C₄×Q₈	C₂³×C₅	1	2	yes	—
752	C₄×Q₈	C₂³×C₅	1	2	yes	—
753	C₄×Q₈	C₂³×C₅	1	2	yes	—
754	C₄×Q₈	C₂³×C₅	1	2	yes	—
755	C₄×Q₈	C₂³×C₅	1	2	yes	—
756	C₄×D₄	—	2	2	no	—
757	C₄×D₄	—	2	2	no	—
758	C₄×D₄	—	2	2	no	—
759	C₄×D₄	—	2	2	no	—
760	C₄×D₄	—	2	1	no	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	1	no	—
764	C₄×D₄	—	2	1	no	—
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	1	no	—
769	C₄×D₄	—	2	2	no	—
770	C₄×D₄	—	2	2	no	—
771	C₄×D₄	—	2	2	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	2	no	—
774	C₄×D₄	—	2	2	no	—
775	C₄×D₄	C₂³×C₅	1	2	yes	—
776	C₄×D₄	C₂³×C₅	1	2	yes	—
777	C₄×D₄	C₂³×C₅	1	2	yes	—
778	C₄×D₄	C₂³×C₅	1	2	yes	—
779	C₄×D₄	C₂³×C₅	1	2	yes	—
780	C₄×D₄	C₂³×C₅	1	2	yes	—
781	C₄×D₄	C₂³×C₅	1	2	yes	—
782	#117	—	2	1	no	—
783	#117	—	2	1	no	—
784	#117	—	2	2	no	—
785	#117	—	2	2	no	—
786	#117	—	2	1	no	—
787	#117	—	2	2	no	—
788	#117	—	2	2	no	—
789	#117	—	2	2	no	—
790	#117	—	2	2	no	—
791	#117	—	2	2	no	—
792	#117	C₅×D₄	1	2	yes	—
793	#117	C₅×D₄	1	1	yes	characteristic
794	#117	C₅×D₄	1	1	yes	characteristic
795	#117	C₂³×C₅	1	1	yes	characteristic
796	#117	C₂³×C₅	1	1	yes	characteristic
797	#117	C₂³×C₅	1	1	yes	characteristic
798	#117	C₂³×C₅	1	1	yes	characteristic
799	#117	C₂³×C₅	1	1	yes	characteristic
800	#117	C₂³×C₅	1	1	yes	characteristic
801	#117	C₂³×C₅	1	1	yes	characteristic
802	#117	C₂³×C₅	1	2	yes	—
803	C₂×C₄⋊C₄	—	2	2	no	—
804	C₂×C₄⋊C₄	—	2	2	no	—
805	C₂×C₄⋊C₄	—	2	1	no	—
806	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	—	2	1	no	—
812	C₂×C₂²⋊C₄	—	2	1	no	—
813	C₂×C₂²⋊C₄	—	2	2	no	—
814	C₂×C₂²⋊C₄	—	2	2	no	—
815	C₂×C₂²⋊C₄	—	2	2	no	—
816	C₂×C₂²⋊C₄	C₅×D₄	1	2	yes	—
817	C₂×C₄²	—	2	1	no	—
818	C₂×C₄²	—	2	2	no	—
819	C₂×C₄²	—	2	2	no	—
820	C₂×C₄²	C₂³×C₅	1	2	yes	—
821	#107	C₂³×C₅	1	1	yes	characteristic
822	#107	C₂³×C₅	1	1	yes	characteristic
823	#107	C₂³×C₅	1	1	yes	characteristic
824	#107	C₂³×C₅	1	1	yes	characteristic
825	#107	C₂³×C₅	1	2	yes	—
826	#107	C₂³×C₅	1	2	yes	—
827	#106	C₂³×C₅	1	1	yes	characteristic
828	#106	C₂³×C₅	1	1	yes	characteristic
829	#106	C₂³×C₅	1	1	yes	characteristic
830	#106	C₂³×C₅	1	1	yes	characteristic
831	#106	C₂³×C₅	1	2	yes	—
832	#106	C₂³×C₅	1	2	yes	—
833	C₄⋊C₈	C₂³×C₅	1	2	yes	—
834	C₄⋊C₈	C₂³×C₅	1	2	yes	—
835	C₄⋊C₈	C₂³×C₅	1	2	yes	—
836	C₄⋊C₈	C₂³×C₅	1	2	yes	—
837	#103	C₂³×C₅	1	2	yes	—
838	#103	C₂³×C₅	1	2	yes	—
839	#103	C₂³×C₅	1	1	yes	characteristic
840	#103	C₂³×C₅	1	1	yes	characteristic
841	#103	C₂³×C₅	1	1	yes	characteristic
842	#103	C₂³×C₅	1	1	yes	characteristic
843	#103	C₂³×C₅	1	2	yes	—
844	#103	C₂³×C₅	1	2	yes	—
845	#102	C₂³×C₅	1	2	yes	—
846	#102	C₂³×C₅	1	2	yes	—
847	#102	C₂³×C₅	1	1	yes	characteristic
848	#102	C₂³×C₅	1	1	yes	characteristic
849	#102	C₂³×C₅	1	1	yes	characteristic
850	#102	C₂³×C₅	1	1	yes	characteristic
851	#102	C₂³×C₅	1	2	yes	—
852	#102	C₂³×C₅	1	2	yes	—
853	#102	C₂³×C₅	1	2	yes	—
854	#102	C₂³×C₅	1	2	yes	—
855	#102	C₂³×C₅	1	2	yes	—
856	#102	C₂³×C₅	1	2	yes	—
857	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
858	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
859	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
860	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
861	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
863	#97	C₂³×C₅	1	2	yes	—
864	#97	C₂³×C₅	1	2	yes	—
865	C₄×C₈	C₂³×C₅	1	2	yes	—
866	C₄×C₈	C₂³×C₅	1	2	yes	—
867	C₂²×C₅	—	2	1	no	—
868	C₂²×C₅	—	2	1	no	—
869	C₂²×C₅	—	2	1	no	—
870	C₂²×C₅	—	2	1	no	—
871	C₂²×C₅	—	2	1	no	—
872	C₂²×C₅	—	2	1	no	—
873	C₂²×C₅	—	2	1	no	—
874	C₂²×C₅	—	2	1	no	—
875	C₂²×C₅	—	2	4	no	—
876	C₂²×C₅	—	4	2	no	—
877	C₂²×C₅	—	4	2	no	—
878	C₂²×C₅	—	4	2	no	—
879	C₂²×C₅	—	4	1	no	—
880	C₂²×C₅	—	4	1	no	—
881	C₂²×C₅	—	4	2	no	—
882	C₂²×C₅	—	4	1	no	—
883	C₂²×C₅	—	4	2	no	—
884	C₂²×C₅	—	8	2	no	—
885	C₂²×C₅	—	8	4	no	—
886	C₂²×C₅	—	16	2	no	—
887	C₂²×C₅	#525	1	2	yes	—
888	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
889	C₄×C₅	—	2	2	no	—
890	C₄×C₅	—	2	2	no	—
891	C₄×C₅	—	2	2	no	—
892	C₄×C₅	—	2	2	no	—
893	C₄×C₅	—	2	1	no	—
894	C₄×C₅	—	2	1	no	—
895	C₄×C₅	—	2	4	no	—
896	C₄×C₅	—	4	1	no	—
897	C₄×C₅	—	4	1	no	—
898	C₄×C₅	—	4	1	no	—
899	C₄×C₅	—	4	1	no	—
900	C₄×C₅	—	4	1	no	—
901	C₄×C₅	—	4	2	no	—
902	C₄×C₅	—	4	1	no	—
903	C₄×C₅	—	4	1	no	—
904	C₄×C₅	#525	1	2	yes	—
905	C₄×C₅	C₂²×#41	1	1	yes	characteristic
906	C₄×C₅	C₂²×#41	1	1	yes	characteristic
907	C₂⁴	—	2	1	no	—
908	C₂⁴	—	2	1	no	—
909	C₂⁴	C₂×C₅×D₄	1	1	yes	characteristic
910	#41	—	2	8	no	—
911	#41	—	2	8	no	—
912	#41	—	2	4	no	—
913	#41	—	2	4	no	—
914	#41	—	2	4	no	—
915	#41	—	2	4	no	—
916	#41	—	2	2	no	—
917	#41	—	2	2	no	—
918	#41	—	8	4	no	—
919	C₂×Q₈	—	2	1	no	—
920	C₂×Q₈	—	2	2	no	—
921	C₂×Q₈	—	2	2	no	—
922	C₂×Q₈	C₅×#41	1	4	yes	complemented
923	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
924	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
925	C₂×D₄	—	2	8	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	1	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	1	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	8	2	no	—
941	C₂×D₄	C₅×#41	1	4	yes	complemented
942	C₂×D₄	C₂⁴×C₅	1	2	yes	—
943	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
944	C₂×D₄	C₂⁴×C₅	1	2	yes	—
945	C₂²×C₄	—	2	8	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	1	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
963	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
964	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
965	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
966	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
967	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
968	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
969	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
970	Q₁₆	—	2	4	no	—
971	SD₁₆	—	2	4	no	—
972	SD₁₆	—	2	4	no	—
973	SD₁₆	—	2	4	no	—
974	SD₁₆	—	2	4	no	—
975	D₈	—	2	4	no	—
976	D₈	—	2	4	no	—
977	D₈	—	2	4	no	—
978	M₁₆	—	2	2	no	—
979	M₁₆	—	2	2	no	—
980	C₂×C₈	—	2	2	no	—
981	C₂×C₈	—	2	2	no	—
982	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
983	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
984	C₂×C₈	C₂⁴×C₅	1	2	yes	—
985	C₂×C₈	C₂⁴×C₅	1	2	yes	—
986	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
987	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1002	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1003	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1005	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1006	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1007	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1008	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1009	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1010	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1011	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1012	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1013	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	1	no	—
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	1	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1035	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1036	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1037	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	2	no	—
1041	C₄²	—	2	2	no	—
1042	C₄²	—	2	2	no	—
1043	C₄²	—	2	2	no	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	2	no	—
1047	C₄²	—	2	1	no	—
1048	C₄²	C₂×C₅×D₄	1	2	yes	—
1049	C₄²	C₂×C₅×D₄	1	2	yes	—
1050	C₄²	C₂⁴×C₅	1	2	yes	—
1051	C₄²	C₂⁴×C₅	1	2	yes	—
1052	C₂×C₅	—	2	2	no	—
1053	C₂×C₅	—	4	1	no	—
1054	C₂×C₅	—	4	1	no	—
1055	C₂×C₅	—	4	4	no	—
1056	C₂×C₅	—	8	1	no	—
1057	C₂×C₅	—	8	2	no	—
1058	C₂×C₅	C₂×#525	1	1	yes	characteristic
1059	C₂×C₅	#3584	1	1	yes	characteristic
1060	C₂×C₅	#3585	1	1	yes	characteristic
1061	C₂³	—	2	2	no	—
1062	C₂³	—	2	2	no	—
1063	C₂³	—	2	4	no	—
1064	C₂³	—	2	2	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	4	1	no	—
1067	C₂³	—	4	1	no	—
1068	C₂³	—	4	2	no	—
1069	C₂³	—	8	1	no	—
1070	C₂³	—	8	1	no	—
1071	C₂³	—	8	1	no	—
1072	C₂³	—	8	1	no	—
1073	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1074	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1075	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1076	Q₈	—	2	4	no	—
1077	Q₈	—	2	2	no	—
1078	Q₈	—	2	1	no	—
1079	Q₈	—	2	1	no	—
1080	Q₈	—	8	2	no	—
1081	Q₈	C₂×C₅×#41	1	4	yes	—
1082	D₄	—	2	8	no	—
1083	D₄	—	2	8	no	—
1084	D₄	—	2	4	no	—
1085	D₄	—	2	2	no	—
1086	D₄	—	2	2	no	—
1087	D₄	—	2	1	no	—
1088	D₄	—	2	2	no	—
1089	D₄	—	2	1	no	—
1090	D₄	—	4	4	no	—
1091	D₄	—	4	2	no	—
1092	D₄	—	4	2	no	—
1093	D₄	—	4	2	no	—
1094	D₄	—	8	2	no	—
1095	D₄	—	8	2	no	—
1096	D₄	—	8	2	no	—
1097	D₄	—	8	1	no	—
1098	D₄	C₂×C₅×#41	1	4	yes	—
1099	C₂×C₄	—	2	8	no	—
1100	C₂×C₄	—	2	8	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	2	no	—
1120	C₂×C₄	—	4	2	no	—
1121	C₂×C₄	—	8	2	no	—
1122	C₂×C₄	—	8	2	no	—
1123	C₂×C₄	—	8	2	no	—
1124	C₂×C₄	—	8	2	no	—
1125	C₂×C₄	—	8	2	no	—
1126	C₂×C₄	—	8	2	no	—
1127	C₂×C₄	—	8	2	no	—
1128	C₂×C₄	—	8	1	no	—
1129	C₂×C₄	—	8	1	no	—
1130	C₂×C₄	—	8	1	no	—
1131	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1132	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1133	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1134	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1135	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1136	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1137	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1138	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1139	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1140	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
1141	C₈	—	2	1	no	—
1142	C₈	—	2	1	no	—
1143	C₈	—	2	1	no	—
1144	C₈	—	2	1	no	—
1145	C₈	—	2	2	no	—
1146	C₈	—	2	2	no	—
1147	C₅	#60580	1	1	yes	characteristic, direct product factor, Sylow
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	1	no	—
1150	C₂²	—	2	1	no	—
1151	C₂²	—	2	1	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	1	no	—
1154	C₂²	—	2	1	no	—
1155	C₂²	—	2	1	no	—
1156	C₂²	—	2	1	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	—	4	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	2	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	8	2	no	—
1166	C₂²	—	8	4	no	—
1167	C₂²	—	16	2	no	—
1168	C₂²	C₅×#525	1	2	yes	—
1169	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1170	C₄	—	2	1	no	—
1171	C₄	—	2	1	no	—
1172	C₄	—	2	4	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	2	no	—
1176	C₄	—	2	2	no	—
1177	C₄	—	4	1	no	—
1178	C₄	—	4	1	no	—
1179	C₄	—	4	1	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	2	no	—
1184	C₄	—	4	1	no	—
1185	C₄	C₅×#525	1	2	yes	—
1186	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1187	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1188	C₂	—	2	2	no	—
1189	C₂	—	4	1	no	—
1190	C₂	—	4	1	no	—
1191	C₂	—	4	4	no	—
1192	C₂	—	8	2	no	—
1193	C₂	—	8	1	no	—
1194	C₂	C₂×C₅×#525	1	1	yes	characteristic
1195	C₂	C₅×#3584	1	1	yes	characteristic
1196	C₂	C₅×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
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×#3494	C₂	semidirect
2. C₅×#3428	C₂	semidirect
3. C₅×#3125	C₂	semidirect
4. C₅×#3124	C₂	semidirect
5. C₅×#3119	C₂	semidirect
6. C₅×#3119	C₂	semidirect
7. C₅×#3115	C₂	semidirect
8. C₅×#3111	C₂	semidirect
9. C₅×#3106	C₂	semidirect
10. C₅×#3102	C₂	semidirect
11. C₅×#3094	C₂	semidirect
12. C₅×#3091	C₂	semidirect
13. C₅×#3082	C₂	semidirect
14. C₅×#3081	C₂	semidirect
15. C₅×#3043	C₂	semidirect
16. C₅×#3041	C₂	semidirect
17. C₅×#3005	C₂	semidirect
18. C₂×C₅×#449	C₂	semidirect
19. C₅×#2949	C₂	semidirect
20. C₅×#2948	C₂	semidirect
21. C₅×#2947	C₂	semidirect
22. C₅×#2946	C₂	semidirect
23. C₅×#2924	C₂	semidirect
36. C₅×#542	C₂²	semidirect
37. C₅×#540	C₂²	semidirect
39. C₅×#532	C₂²	semidirect
40. C₅×#529	C₂²	semidirect
46. C₅×#520	C₂²	semidirect
47. C₅×#520	C₂²	semidirect
56. C₄×C₅×#41	C₂²	semidirect
57. C₄×C₅×#41	C₂²	semidirect
61. C₅×#485	C₂²	semidirect
62. C₅×#485	C₂²	semidirect
63. C₅×#484	C₂²	semidirect
64. C₅×#483	C₂²	semidirect
65. C₅×#482	C₂²	semidirect
66. C₅×#482	C₂²	semidirect
67. C₅×#482	C₂²	semidirect
68. C₅×#482	C₂²	semidirect
69. C₅×#481	C₂²	semidirect
70. C₅×#481	C₂²	semidirect
71. C₅×#480	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×#460	C₂²	semidirect
86. C₅×#460	C₂²	semidirect
87. C₅×#459	C₂²	semidirect
88. C₅×#459	C₂²	semidirect
89. C₅×#452	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
95. C₅×#449	C₂²	semidirect
96. C₅×#449	C₂²	semidirect
97. C₅×#442	C₂²	semidirect
98. C₅×#442	C₂²	semidirect
99. C₅×#442	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×SD₁₆	C₂²	semidirect
107. C₄×C₅×SD₁₆	C₂²	semidirect
108. C₄×C₅×SD₁₆	C₂²	semidirect
109. C₄×C₅×SD₁₆	C₂²	semidirect
110. C₄×C₅×D₈	C₂²	semidirect
111. C₄×C₅×D₈	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. #60580	C₅	direct (N × H)
319. #3494	C₂×C₅	semidirect
320. #3428	C₂×C₅	semidirect
321. #3125	C₂×C₅	semidirect
322. #3124	C₂×C₅	semidirect
323. #3119	C₂×C₅	semidirect
324. #3119	C₂×C₅	semidirect
325. #3115	C₂×C₅	semidirect
326. #3111	C₂×C₅	semidirect
327. #3106	C₂×C₅	semidirect
328. #3102	C₂×C₅	semidirect
329. #3094	C₂×C₅	semidirect
330. #3091	C₂×C₅	semidirect
331. #3082	C₂×C₅	semidirect
332. #3081	C₂×C₅	semidirect
333. #3043	C₂×C₅	semidirect
334. #3041	C₂×C₅	semidirect
335. #3005	C₂×C₅	semidirect
336. C₂×#449	C₂×C₅	semidirect
337. #2949	C₂×C₅	semidirect
338. #2948	C₂×C₅	semidirect
339. #2947	C₂×C₅	semidirect
340. #2946	C₂×C₅	semidirect
341. #2924	C₂×C₅	semidirect
357. C₂×C₅×Q₈	#41	semidirect
376. C₂×C₅×D₄	#41	semidirect
499. #542	C₂²×C₅	semidirect
500. #540	C₂²×C₅	semidirect
502. #532	C₂²×C₅	semidirect
503. #529	C₂²×C₅	semidirect
509. #520	C₂²×C₅	semidirect
510. #520	C₂²×C₅	semidirect
519. C₄×#41	C₂²×C₅	semidirect
520. C₄×#41	C₂²×C₅	semidirect
524. #485	C₂²×C₅	semidirect
525. #485	C₂²×C₅	semidirect
526. #484	C₂²×C₅	semidirect
527. #483	C₂²×C₅	semidirect
528. #482	C₂²×C₅	semidirect
529. #482	C₂²×C₅	semidirect
530. #482	C₂²×C₅	semidirect
531. #482	C₂²×C₅	semidirect
532. #481	C₂²×C₅	semidirect
533. #481	C₂²×C₅	semidirect
534. #480	C₂²×C₅	semidirect
535. #480	C₂²×C₅	semidirect
536. #479	C₂²×C₅	semidirect
537. #479	C₂²×C₅	semidirect
538. #478	C₂²×C₅	semidirect
539. #478	C₂²×C₅	semidirect
540. #477	C₂²×C₅	semidirect
541. #476	C₂²×C₅	semidirect
542. #475	C₂²×C₅	semidirect
543. #474	C₂²×C₅	semidirect
544. #464	C₂²×C₅	semidirect
545. #464	C₂²×C₅	semidirect
546. #463	C₂²×C₅	semidirect
547. #463	C₂²×C₅	semidirect
548. #460	C₂²×C₅	semidirect
549. #460	C₂²×C₅	semidirect
550. #459	C₂²×C₅	semidirect
551. #459	C₂²×C₅	semidirect
552. #452	C₂²×C₅	semidirect
553. #452	C₂²×C₅	semidirect
558. #449	C₂²×C₅	semidirect
559. #449	C₂²×C₅	semidirect
560. #442	C₂²×C₅	semidirect
561. #442	C₂²×C₅	semidirect
562. #442	C₂²×C₅	semidirect
563. #441	C₂²×C₅	semidirect
564. #440	C₂²×C₅	semidirect
565. #440	C₂²×C₅	semidirect
566. #440	C₂²×C₅	semidirect
567. #440	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. C₄×D₈	C₂²×C₅	semidirect
575. C₄×D₈	C₂²×C₅	semidirect
576. #433	C₂²×C₅	semidirect
577. #433	C₂²×C₅	semidirect
578. #432	C₂²×C₅	semidirect
579. #431	C₂²×C₅	semidirect
922. C₂×Q₈	C₅×#41	semidirect
941. C₂×D₄	C₅×#41	semidirect
1147. C₅	#60580	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×#3494	2
C₅×#3428	2
C₅×#3125	2
C₅×#3124	2
C₅×#3119	2
C₅×#3115	2
C₅×#3111	2
C₅×#3106	2
C₅×#3102	2
C₅×#3094	2
C₅×#3091	2
C₅×#3082	2
C₅×#3081	2
C₅×#3043	2
C₅×#3041	2
C₅×#3005	2
C₂×C₅×#449	2
C₅×#2949	2
C₅×#2948	2
C₅×#2947	2
C₅×#2946	2
C₅×#2924	2
#60580	5

Subgroups — C5×#60580 #11983300

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#60580 #11983300