Subgroups — C₅×#60587 #11983307

Order 1280.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1236 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×#3126	C₂	1	2	yes	maximal, complemented
4	C₅×#3122	C₂	1	2	yes	maximal, complemented
5	C₅×#3121	C₂	1	2	yes	maximal, complemented
6	C₅×#3118	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×#3093	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₅×#482	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#3084	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#3083	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#3045	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3045	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#3006	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#3002	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2952	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2951	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2946	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×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₅×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
27	C₂×C₅×#135	C₂²	1	1	yes	characteristic
28	C₂×C₅×#135	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, complemented
36	C₅×#542	C₂²	1	2	yes	—
37	C₅×#540	C₂²	1	2	yes	—
38	C₅×#535	C₂²	1	1	yes	characteristic, complemented
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	1	yes	characteristic
47	C₅×#520	C₂²	1	1	yes	characteristic
48	C₅×#520	C₂²	1	1	yes	characteristic
49	C₅×#520	C₂²	1	1	yes	characteristic, complemented
50	C₅×#519	C₂²	1	2	yes	complemented
51	C₅×#518	—	2	2	no	—
52	C₅×#518	C₂²	1	2	yes	complemented
53	C₅×#518	C₂²	1	1	yes	characteristic, complemented
54	C₄×C₅×#41	—	2	2	no	—
55	C₄×C₅×#41	C₂²	1	2	yes	complemented
56	C₄×C₅×#41	C₂²	1	2	yes	complemented
57	C₂×C₅×#117	—	2	1	no	—
58	C₂×C₅×#117	—	2	1	no	—
59	C₂×C₅×#117	C₂²	1	1	yes	characteristic
60	C₂×C₅×#117	C₂²	1	1	yes	characteristic
61	C₅×#485	C₂²	1	2	yes	complemented
62	C₅×#485	C₂²	1	2	yes	complemented
63	C₅×#482	C₂²	1	2	yes	—
64	C₅×#482	C₂²	1	2	yes	—
65	C₅×#482	C₂²	1	2	yes	complemented
66	C₅×#482	C₂²	1	2	yes	complemented
67	C₅×#482	C₂²	1	2	yes	complemented
68	C₅×#482	C₂²	1	2	yes	complemented
69	C₅×#479	C₂²	1	2	yes	complemented
70	C₅×#479	C₂²	1	2	yes	complemented
71	C₅×#478	C₂²	1	2	yes	complemented
72	C₅×#478	C₂²	1	2	yes	complemented
73	C₅×#477	C₂²	1	2	yes	complemented
74	C₅×#476	C₂²	1	2	yes	complemented
75	C₅×#475	C₂²	1	2	yes	complemented
76	C₅×#474	C₂²	1	2	yes	complemented
77	C₅×#464	C₂²	1	2	yes	complemented
78	C₅×#464	C₂²	1	2	yes	complemented
79	C₅×#463	C₂²	1	2	yes	complemented
80	C₅×#463	C₂²	1	2	yes	complemented
81	C₅×#460	C₂²	1	2	yes	complemented
82	C₅×#460	C₂²	1	2	yes	complemented
83	C₅×#459	C₂²	1	2	yes	complemented
84	C₅×#459	C₂²	1	2	yes	complemented
85	C₅×#452	C₂²	1	1	yes	characteristic, complemented
86	C₅×#452	C₂²	1	1	yes	characteristic, complemented
87	C₅×#451	C₂²	1	1	yes	characteristic, complemented
88	C₅×#450	C₂²	1	1	yes	characteristic, complemented
89	C₅×#449	C₂²	1	2	yes	—
90	C₅×#449	C₂²	1	2	yes	—
91	C₅×#449	C₂²	1	1	yes	characteristic, complemented
92	C₅×#449	C₂²	1	1	yes	characteristic, complemented
93	C₅×#448	C₂²	1	2	yes	—
94	C₅×#448	C₂²	1	1	yes	characteristic, complemented
95	C₅×#447	C₂²	1	2	yes	—
96	C₅×#447	C₂²	1	1	yes	characteristic, 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, complemented
118	C₅×#428	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₅×#107	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₅×#106	C₂²	1	1	yes	characteristic, complemented
121	C₅×#424	C₂²	1	1	yes	characteristic, complemented
122	C₅×#424	C₂²	1	1	yes	characteristic, complemented
123	C₅×#417	C₂²	1	1	yes	characteristic
124	C₅×#417	C₂²	1	1	yes	characteristic
125	C₅×#417	C₂²	1	1	yes	characteristic, complemented
126	C₅×#417	C₂²	1	1	yes	characteristic, complemented
127	C₅×#416	C₂²	1	1	yes	characteristic
128	C₅×#416	C₂²	1	1	yes	characteristic
129	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
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, complemented
134	C₅×#405	C₂²	1	1	yes	characteristic, complemented
135	#60587	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	1	yes	characteristic
143	C₂×C₅×#41	C₂³	1	1	yes	characteristic
144	C₂×C₅×#41	C₂³	1	1	yes	characteristic
145	C₂×C₅×#41	C₂³	1	1	yes	characteristic
146	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
147	C₂²×C₅×D₄	—	2	1	no	—
148	C₂²×C₅×D₄	—	2	1	no	—
149	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
150	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₅	—	2	1	no	—
152	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
153	C₅×AGL(1,ℤ/8)	—	2	4	no	—
154	C₅×AGL(1,ℤ/8)	—	2	4	no	—
155	C₅×#135	—	2	4	no	—
156	C₅×#135	—	2	4	no	—
157	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
158	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
159	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
163	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
166	C₂×C₅×D₈	C₂³	1	2	yes	—
167	C₂×C₅×D₈	C₂³	1	2	yes	—
168	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
169	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
170	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
171	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
172	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
173	C₅×C₄⋊Q₈	—	2	1	no	—
174	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
175	C₅×#127	C₂³	1	2	yes	—
176	C₅×#126	—	2	2	no	—
177	C₅×#126	—	2	2	no	—
178	C₅×#125	—	2	1	no	—
179	C₅×#125	C₂³	1	2	yes	—
180	C₅×#124	—	2	2	no	—
181	C₅×#124	—	2	2	no	—
182	C₅×#124	C₂³	1	2	yes	—
183	C₅×#123	—	2	1	no	—
184	C₅×#123	—	2	2	no	—
185	C₅×#123	—	2	2	no	—
186	C₅×#123	—	2	2	no	—
187	C₅×#123	—	2	2	no	—
188	C₅×C₂²⋊Q₈	—	2	2	no	—
189	C₅×C₂²⋊Q₈	—	2	2	no	—
190	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
191	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₅×#121	—	2	1	no	—
193	C₅×#121	—	2	1	no	—
194	C₅×#121	—	2	2	no	—
195	C₅×#121	—	2	1	no	—
196	C₅×#121	—	2	1	no	—
197	C₅×#121	—	2	2	no	—
198	C₅×#121	—	2	2	no	—
199	C₅×#121	C₂³	1	2	yes	—
200	C₅×#121	C₂³	1	1	yes	characteristic
201	C₅×#121	C₂³	1	2	yes	—
202	C₅×#121	C₂³	1	1	yes	characteristic
203	C₅×#120	—	2	1	no	—
204	C₅×#120	—	2	2	no	—
205	C₄×C₅×Q₈	—	2	2	no	—
206	C₄×C₅×Q₈	—	2	2	no	—
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×Q₈	C₂³	1	2	yes	—
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	2	no	—
216	C₄×C₅×D₄	—	2	1	no	—
217	C₄×C₅×D₄	—	2	1	no	—
218	C₄×C₅×D₄	—	2	2	no	—
219	C₄×C₅×D₄	—	2	2	no	—
220	C₄×C₅×D₄	—	2	2	no	—
221	C₄×C₅×D₄	—	2	1	no	—
222	C₄×C₅×D₄	—	2	1	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	—	2	2	no	—
228	C₄×C₅×D₄	—	2	2	no	—
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	C₄×C₅×D₄	C₂³	1	2	yes	—
235	C₄×C₅×D₄	C₂³	1	2	yes	—
236	C₅×#117	—	2	1	no	—
237	C₅×#117	—	2	1	no	—
238	C₅×#117	—	2	1	no	—
239	C₅×#117	—	2	1	no	—
240	C₅×#117	—	2	1	no	—
241	C₅×#117	—	2	1	no	—
242	C₅×#117	—	2	1	no	—
243	C₅×#117	—	2	2	no	—
244	C₅×#117	—	2	2	no	—
245	C₅×#117	—	2	2	no	—
246	C₅×#117	—	2	2	no	—
247	C₅×#117	—	2	2	no	—
248	C₅×#117	D₄	1	1	yes	characteristic
249	C₅×#117	D₄	1	1	yes	characteristic
250	C₅×#117	D₄	1	2	yes	—
251	C₅×#117	C₂³	1	1	yes	characteristic
252	C₅×#117	C₂³	1	2	yes	—
253	C₅×#117	C₂³	1	2	yes	—
254	C₅×#117	C₂³	1	1	yes	characteristic
255	C₅×#117	C₂³	1	1	yes	characteristic
256	C₅×#117	C₂³	1	2	yes	—
257	C₂×C₅×C₄⋊C₄	—	2	1	no	—
258	C₂×C₅×C₄⋊C₄	—	2	1	no	—
259	C₂×C₅×C₄⋊C₄	—	2	1	no	—
260	C₂×C₅×C₄⋊C₄	—	2	1	no	—
261	C₂×C₅×C₄⋊C₄	—	2	1	no	—
262	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
263	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
264	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
268	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
269	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
270	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
271	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₅×C₂²⋊C₄	D₄	1	2	yes	—
273	C₂×C₄²×C₅	—	2	1	no	—
274	C₂×C₄²×C₅	—	2	2	no	—
275	C₂×C₄²×C₅	—	2	2	no	—
276	C₂×C₄²×C₅	C₂³	1	2	yes	—
277	C₅×#107	C₂³	1	2	yes	—
278	C₅×#107	C₂³	1	2	yes	—
279	C₅×#107	C₂³	1	2	yes	—
280	C₅×#107	C₂³	1	2	yes	—
281	C₅×#106	C₂³	1	2	yes	—
282	C₅×#106	C₂³	1	2	yes	—
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	1	yes	characteristic
290	C₅×#103	C₂³	1	1	yes	characteristic
291	C₅×#103	C₂³	1	1	yes	characteristic
292	C₅×#103	C₂³	1	1	yes	characteristic
293	C₅×#103	C₂³	1	2	yes	—
294	C₅×#103	C₂³	1	2	yes	—
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	2	yes	—
300	C₅×#102	C₂³	1	2	yes	—
301	C₅×#102	C₂³	1	1	yes	characteristic
302	C₅×#102	C₂³	1	1	yes	characteristic
303	C₅×#102	C₂³	1	1	yes	characteristic
304	C₅×#102	C₂³	1	1	yes	characteristic
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	#3126	C₂×C₅	1	2	yes	complemented
322	#3122	C₂×C₅	1	2	yes	complemented
323	#3121	C₂×C₅	1	2	yes	complemented
324	#3118	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	#3093	C₂×C₅	1	1	yes	characteristic, complemented
330	C₂×#482	C₂×C₅	1	1	yes	characteristic, complemented
331	#3084	C₂×C₅	1	1	yes	characteristic, complemented
332	#3083	C₂×C₅	1	1	yes	characteristic, complemented
333	#3045	C₂×C₅	1	1	yes	characteristic, complemented
334	#3045	C₂×C₅	1	1	yes	characteristic, complemented
335	#3006	C₂×C₅	1	1	yes	characteristic, complemented
336	#3002	C₂×C₅	1	1	yes	characteristic, complemented
337	#2952	C₂×C₅	1	1	yes	characteristic, complemented
338	#2951	C₂×C₅	1	1	yes	characteristic, complemented
339	#2946	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	2	no	—
348	C₅×#41	—	2	2	no	—
349	C₅×#41	—	2	2	no	—
350	C₅×#41	—	2	2	no	—
351	C₅×#41	—	2	2	no	—
352	C₅×#41	—	2	2	no	—
353	C₅×#41	—	2	2	no	—
354	C₅×#41	—	2	2	no	—
355	C₅×#41	—	8	4	no	—
356	C₅×#41	#41	1	4	yes	complemented
357	C₅×#41	#41	1	4	yes	complemented
358	C₂×C₅×Q₈	—	2	2	no	—
359	C₂×C₅×Q₈	—	2	2	no	—
360	C₂×C₅×Q₈	—	2	1	no	—
361	C₂×C₅×Q₈	—	2	2	no	—
362	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
363	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
364	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
365	C₂×C₅×D₄	—	2	8	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	1	no	—
370	C₂×C₅×D₄	—	2	2	no	—
371	C₂×C₅×D₄	—	2	2	no	—
372	C₂×C₅×D₄	—	2	1	no	—
373	C₂×C₅×D₄	—	2	1	no	—
374	C₂×C₅×D₄	—	2	2	no	—
375	C₂×C₅×D₄	—	2	1	no	—
376	C₂×C₅×D₄	—	2	2	no	—
377	C₂×C₅×D₄	—	2	1	no	—
378	C₂×C₅×D₄	—	2	1	no	—
379	C₂×C₅×D₄	—	2	2	no	—
380	C₂×C₅×D₄	—	2	2	no	—
381	C₂×C₅×D₄	—	2	2	no	—
382	C₂×C₅×D₄	—	2	2	no	—
383	C₂×C₅×D₄	—	8	2	no	—
384	C₂×C₅×D₄	C₂⁴	1	2	yes	—
385	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
386	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
387	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₅	—	2	8	no	—
389	C₂²×C₄×C₅	—	2	1	no	—
390	C₂²×C₄×C₅	—	2	1	no	—
391	C₂²×C₄×C₅	—	2	1	no	—
392	C₂²×C₄×C₅	—	2	1	no	—
393	C₂²×C₄×C₅	—	2	1	no	—
394	C₂²×C₄×C₅	—	2	2	no	—
395	C₂²×C₄×C₅	—	2	2	no	—
396	C₂²×C₄×C₅	—	2	1	no	—
397	C₂²×C₄×C₅	—	2	1	no	—
398	C₂²×C₄×C₅	—	2	1	no	—
399	C₂²×C₄×C₅	—	2	1	no	—
400	C₂²×C₄×C₅	—	2	2	no	—
401	C₂²×C₄×C₅	—	2	2	no	—
402	C₂²×C₄×C₅	—	2	2	no	—
403	C₂²×C₄×C₅	—	2	2	no	—
404	C₂²×C₄×C₅	—	2	2	no	—
405	C₂²×C₄×C₅	—	2	2	no	—
406	C₂²×C₄×C₅	—	2	2	no	—
407	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
408	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
409	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
410	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
411	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
412	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₅×Q₁₆	—	2	2	no	—
416	C₅×Q₁₆	—	2	2	no	—
417	C₅×SD₁₆	—	2	2	no	—
418	C₅×SD₁₆	—	2	2	no	—
419	C₅×SD₁₆	—	2	4	no	—
420	C₅×SD₁₆	—	2	4	no	—
421	C₅×SD₁₆	—	2	2	no	—
422	C₅×SD₁₆	—	2	2	no	—
423	C₅×D₈	—	2	2	no	—
424	C₅×D₈	—	2	2	no	—
425	C₅×D₈	—	2	4	no	—
426	C₅×D₈	—	2	4	no	—
427	C₅×M₁₆	—	2	2	no	—
428	C₅×M₁₆	—	2	2	no	—
429	C₂×C₅×C₈	—	2	2	no	—
430	C₂×C₅×C₈	—	2	2	no	—
431	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
432	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
433	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
434	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
435	C₂×C₅×C₈	C₂⁴	1	2	yes	—
436	C₂×C₅×C₈	C₂⁴	1	2	yes	—
437	C₅×C₄⋊C₄	—	2	1	no	—
438	C₅×C₄⋊C₄	—	2	1	no	—
439	C₅×C₄⋊C₄	—	2	1	no	—
440	C₅×C₄⋊C₄	—	2	2	no	—
441	C₅×C₄⋊C₄	—	2	2	no	—
442	C₅×C₄⋊C₄	—	2	2	no	—
443	C₅×C₄⋊C₄	—	2	2	no	—
444	C₅×C₄⋊C₄	—	2	2	no	—
445	C₅×C₄⋊C₄	—	2	1	no	—
446	C₅×C₄⋊C₄	—	2	2	no	—
447	C₅×C₄⋊C₄	—	2	2	no	—
448	C₅×C₄⋊C₄	—	2	2	no	—
449	C₅×C₄⋊C₄	—	2	1	no	—
450	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
452	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
453	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
454	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
455	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
456	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
457	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
458	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
459	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
460	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
461	C₅×C₂²⋊C₄	—	2	2	no	—
462	C₅×C₂²⋊C₄	—	2	1	no	—
463	C₅×C₂²⋊C₄	—	2	2	no	—
464	C₅×C₂²⋊C₄	—	2	1	no	—
465	C₅×C₂²⋊C₄	—	2	1	no	—
466	C₅×C₂²⋊C₄	—	2	2	no	—
467	C₅×C₂²⋊C₄	—	2	2	no	—
468	C₅×C₂²⋊C₄	—	2	2	no	—
469	C₅×C₂²⋊C₄	—	2	2	no	—
470	C₅×C₂²⋊C₄	—	2	2	no	—
471	C₅×C₂²⋊C₄	—	2	2	no	—
472	C₅×C₂²⋊C₄	—	2	2	no	—
473	C₅×C₂²⋊C₄	—	2	2	no	—
474	C₅×C₂²⋊C₄	—	2	2	no	—
475	C₅×C₂²⋊C₄	—	2	2	no	—
476	C₅×C₂²⋊C₄	—	2	1	no	—
477	C₅×C₂²⋊C₄	—	2	2	no	—
478	C₅×C₂²⋊C₄	—	2	1	no	—
479	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
480	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
481	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
482	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
483	C₄²×C₅	—	2	2	no	—
484	C₄²×C₅	—	2	2	no	—
485	C₄²×C₅	—	2	2	no	—
486	C₄²×C₅	—	2	2	no	—
487	C₄²×C₅	—	2	2	no	—
488	C₄²×C₅	—	2	2	no	—
489	C₄²×C₅	—	2	2	no	—
490	C₄²×C₅	—	2	1	no	—
491	C₄²×C₅	C₂×D₄	1	2	yes	—
492	C₄²×C₅	C₂×D₄	1	2	yes	—
493	C₄²×C₅	C₂⁴	1	2	yes	—
494	C₄²×C₅	C₂⁴	1	2	yes	—
495	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
496	C₂×AGL(1,ℤ/8)	C₂²×C₅	1	1	yes	characteristic
497	C₂×AGL(1,ℤ/8)	C₂²×C₅	1	1	yes	characteristic
498	C₂×#135	C₂²×C₅	1	1	yes	characteristic
499	C₂×#135	C₂²×C₅	1	1	yes	characteristic
500	#555	—	2	1	no	—
501	#553	—	2	1	no	—
502	#553	—	2	1	no	—
503	#551	—	2	2	no	—
504	#547	—	2	1	no	—
505	#546	—	2	2	no	—
506	#544	C₂²×C₅	1	1	yes	characteristic, complemented
507	#542	C₂²×C₅	1	2	yes	—
508	#540	C₂²×C₅	1	2	yes	—
509	#535	C₂²×C₅	1	1	yes	characteristic, complemented
510	#532	C₂²×C₅	1	2	yes	complemented
511	#529	C₂²×C₅	1	2	yes	complemented
512	#525	C₂²×C₅	1	1	yes	characteristic
513	C₂×#121	C₂²×C₅	1	1	yes	characteristic
514	#520	—	2	1	no	—
515	#520	—	2	1	no	—
516	#520	C₂²×C₅	1	1	yes	characteristic
517	#520	C₂²×C₅	1	1	yes	characteristic
518	#520	C₂²×C₅	1	1	yes	characteristic
519	#520	C₂²×C₅	1	1	yes	characteristic
520	#520	C₂²×C₅	1	1	yes	characteristic, complemented
521	#519	C₂²×C₅	1	2	yes	complemented
522	#518	—	2	2	no	—
523	#518	C₂²×C₅	1	2	yes	complemented
524	#518	C₂²×C₅	1	1	yes	characteristic, complemented
525	C₄×#41	—	2	2	no	—
526	C₄×#41	C₂²×C₅	1	2	yes	complemented
527	C₄×#41	C₂²×C₅	1	2	yes	complemented
528	C₂×#117	—	2	1	no	—
529	C₂×#117	—	2	1	no	—
530	C₂×#117	C₂²×C₅	1	1	yes	characteristic
531	C₂×#117	C₂²×C₅	1	1	yes	characteristic
532	#485	C₂²×C₅	1	2	yes	complemented
533	#485	C₂²×C₅	1	2	yes	complemented
534	#482	C₂²×C₅	1	2	yes	—
535	#482	C₂²×C₅	1	2	yes	—
536	#482	C₂²×C₅	1	2	yes	complemented
537	#482	C₂²×C₅	1	2	yes	complemented
538	#482	C₂²×C₅	1	2	yes	complemented
539	#482	C₂²×C₅	1	2	yes	complemented
540	#479	C₂²×C₅	1	2	yes	complemented
541	#479	C₂²×C₅	1	2	yes	complemented
542	#478	C₂²×C₅	1	2	yes	complemented
543	#478	C₂²×C₅	1	2	yes	complemented
544	#477	C₂²×C₅	1	2	yes	complemented
545	#476	C₂²×C₅	1	2	yes	complemented
546	#475	C₂²×C₅	1	2	yes	complemented
547	#474	C₂²×C₅	1	2	yes	complemented
548	#464	C₂²×C₅	1	2	yes	complemented
549	#464	C₂²×C₅	1	2	yes	complemented
550	#463	C₂²×C₅	1	2	yes	complemented
551	#463	C₂²×C₅	1	2	yes	complemented
552	#460	C₂²×C₅	1	2	yes	complemented
553	#460	C₂²×C₅	1	2	yes	complemented
554	#459	C₂²×C₅	1	2	yes	complemented
555	#459	C₂²×C₅	1	2	yes	complemented
556	#452	C₂²×C₅	1	1	yes	characteristic, complemented
557	#452	C₂²×C₅	1	1	yes	characteristic, complemented
558	#451	C₂²×C₅	1	1	yes	characteristic, complemented
559	#450	C₂²×C₅	1	1	yes	characteristic, complemented
560	#449	C₂²×C₅	1	2	yes	—
561	#449	C₂²×C₅	1	2	yes	—
562	#449	C₂²×C₅	1	1	yes	characteristic, complemented
563	#449	C₂²×C₅	1	1	yes	characteristic, complemented
564	#448	C₂²×C₅	1	2	yes	—
565	#448	C₂²×C₅	1	1	yes	characteristic, complemented
566	#447	C₂²×C₅	1	2	yes	—
567	#447	C₂²×C₅	1	1	yes	characteristic, complemented
568	#442	C₂²×C₅	1	2	yes	complemented
569	#442	C₂²×C₅	1	2	yes	complemented
570	#442	C₂²×C₅	1	2	yes	complemented
571	#441	C₂²×C₅	1	2	yes	complemented
572	#440	C₂²×C₅	1	2	yes	complemented
573	#440	C₂²×C₅	1	2	yes	complemented
574	#440	C₂²×C₅	1	2	yes	complemented
575	#440	C₂²×C₅	1	2	yes	complemented
576	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
577	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
578	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
579	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
580	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
581	C₄×D₈	C₂²×C₅	1	2	yes	complemented
582	C₄×D₈	C₂²×C₅	1	2	yes	complemented
583	C₄×D₈	C₂²×C₅	1	2	yes	complemented
584	#433	C₂²×C₅	1	2	yes	complemented
585	#433	C₂²×C₅	1	2	yes	complemented
586	#432	C₂²×C₅	1	2	yes	complemented
587	#431	C₂²×C₅	1	2	yes	complemented
588	#428	C₂²×C₅	1	1	yes	characteristic, complemented
589	#428	C₂²×C₅	1	1	yes	characteristic, complemented
590	C₂×#107	C₂²×C₅	1	1	yes	characteristic, complemented
591	C₂×#106	C₂²×C₅	1	1	yes	characteristic, complemented
592	#424	C₂²×C₅	1	1	yes	characteristic, complemented
593	#424	C₂²×C₅	1	1	yes	characteristic, complemented
594	#417	C₂²×C₅	1	1	yes	characteristic
595	#417	C₂²×C₅	1	1	yes	characteristic
596	#417	C₂²×C₅	1	1	yes	characteristic, complemented
597	#417	C₂²×C₅	1	1	yes	characteristic, complemented
598	#416	C₂²×C₅	1	1	yes	characteristic
599	#416	C₂²×C₅	1	1	yes	characteristic
600	C₂×#102	C₂²×C₅	1	1	yes	characteristic, complemented
601	C₂×#102	C₂²×C₅	1	1	yes	characteristic, complemented
602	#407	C₂²×C₅	1	1	yes	characteristic
603	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
604	#405	C₂²×C₅	1	1	yes	characteristic, complemented
605	#405	C₂²×C₅	1	1	yes	characteristic, complemented
606	C₂³×C₅	—	2	4	no	—
607	C₂³×C₅	—	2	1	no	—
608	C₂³×C₅	—	2	1	no	—
609	C₂³×C₅	—	2	2	no	—
610	C₂³×C₅	—	2	2	no	—
611	C₂³×C₅	—	2	1	no	—
612	C₂³×C₅	—	4	1	no	—
613	C₂³×C₅	—	4	1	no	—
614	C₂³×C₅	—	4	2	no	—
615	C₂³×C₅	—	8	1	no	—
616	C₂³×C₅	—	8	1	no	—
617	C₂³×C₅	—	8	1	no	—
618	C₂³×C₅	—	8	1	no	—
619	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
620	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
621	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
622	C₅×Q₈	—	2	4	no	—
623	C₅×Q₈	—	2	1	no	—
624	C₅×Q₈	—	2	1	no	—
625	C₅×Q₈	—	2	1	no	—
626	C₅×Q₈	—	2	1	no	—
627	C₅×Q₈	—	8	2	no	—
628	C₅×Q₈	C₂×#41	1	2	yes	—
629	C₅×Q₈	C₂×#41	1	2	yes	—
630	C₅×D₄	—	2	4	no	—
631	C₅×D₄	—	2	4	no	—
632	C₅×D₄	—	2	4	no	—
633	C₅×D₄	—	2	4	no	—
634	C₅×D₄	—	2	4	no	—
635	C₅×D₄	—	2	1	no	—
636	C₅×D₄	—	2	1	no	—
637	C₅×D₄	—	2	2	no	—
638	C₅×D₄	—	2	2	no	—
639	C₅×D₄	—	2	1	no	—
640	C₅×D₄	—	2	1	no	—
641	C₅×D₄	—	4	4	no	—
642	C₅×D₄	—	4	2	no	—
643	C₅×D₄	—	4	2	no	—
644	C₅×D₄	—	4	2	no	—
645	C₅×D₄	—	8	2	no	—
646	C₅×D₄	—	8	2	no	—
647	C₅×D₄	—	8	1	no	—
648	C₅×D₄	—	8	2	no	—
649	C₅×D₄	C₂×#41	1	2	yes	—
650	C₅×D₄	C₂×#41	1	2	yes	—
651	C₂×C₄×C₅	—	2	4	no	—
652	C₂×C₄×C₅	—	2	4	no	—
653	C₂×C₄×C₅	—	2	4	no	—
654	C₂×C₄×C₅	—	2	2	no	—
655	C₂×C₄×C₅	—	2	1	no	—
656	C₂×C₄×C₅	—	2	1	no	—
657	C₂×C₄×C₅	—	2	2	no	—
658	C₂×C₄×C₅	—	2	4	no	—
659	C₂×C₄×C₅	—	2	4	no	—
660	C₂×C₄×C₅	—	2	2	no	—
661	C₂×C₄×C₅	—	2	1	no	—
662	C₂×C₄×C₅	—	2	1	no	—
663	C₂×C₄×C₅	—	2	1	no	—
664	C₂×C₄×C₅	—	2	1	no	—
665	C₂×C₄×C₅	—	2	2	no	—
666	C₂×C₄×C₅	—	2	2	no	—
667	C₂×C₄×C₅	—	2	1	no	—
668	C₂×C₄×C₅	—	2	1	no	—
669	C₂×C₄×C₅	—	2	1	no	—
670	C₂×C₄×C₅	—	2	2	no	—
671	C₂×C₄×C₅	—	4	2	no	—
672	C₂×C₄×C₅	—	4	2	no	—
673	C₂×C₄×C₅	—	4	2	no	—
674	C₂×C₄×C₅	—	8	2	no	—
675	C₂×C₄×C₅	—	8	2	no	—
676	C₂×C₄×C₅	—	8	2	no	—
677	C₂×C₄×C₅	—	8	2	no	—
678	C₂×C₄×C₅	—	8	2	no	—
679	C₂×C₄×C₅	—	8	2	no	—
680	C₂×C₄×C₅	—	8	2	no	—
681	C₂×C₄×C₅	—	8	1	no	—
682	C₂×C₄×C₅	—	8	1	no	—
683	C₂×C₄×C₅	—	8	1	no	—
684	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
685	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
686	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
687	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
688	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
689	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
690	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
691	C₂×C₄×C₅	C₂×#41	1	2	yes	—
692	C₂×C₄×C₅	C₂×#41	1	2	yes	—
693	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
694	C₅×C₈	—	2	1	no	—
695	C₅×C₈	—	2	1	no	—
696	C₅×C₈	—	2	1	no	—
697	C₅×C₈	—	2	1	no	—
698	C₅×C₈	—	2	2	no	—
699	C₅×C₈	—	2	2	no	—
700	C₂×#41	—	2	4	no	—
701	C₂×#41	—	2	4	no	—
702	C₂×#41	—	2	1	no	—
703	C₂×#41	—	2	1	no	—
704	C₂×#41	—	2	2	no	—
705	C₂×#41	C₂³×C₅	1	1	yes	characteristic
706	C₂×#41	C₂³×C₅	1	1	yes	characteristic
707	C₂×#41	C₂³×C₅	1	1	yes	characteristic
708	C₂×#41	C₂³×C₅	1	1	yes	characteristic
709	C₂×#41	C₂³×C₅	1	1	yes	characteristic
710	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
711	C₂²×D₄	—	2	1	no	—
712	C₂²×D₄	—	2	1	no	—
713	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
714	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
715	C₂³×C₄	—	2	1	no	—
716	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
717	AGL(1,ℤ/8)	—	2	4	no	—
718	AGL(1,ℤ/8)	—	2	4	no	—
719	#135	—	2	4	no	—
720	#135	—	2	4	no	—
721	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
722	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
723	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
724	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
726	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
727	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
729	C₂×D₈	C₂³×C₅	1	1	yes	characteristic
730	C₂×D₈	C₂³×C₅	1	1	yes	characteristic
731	C₂×D₈	C₂³×C₅	1	2	yes	—
732	C₂×D₈	C₂³×C₅	1	2	yes	—
733	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
734	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
735	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
736	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
737	C₄⋊Q₈	—	2	1	no	—
738	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
739	#127	C₂³×C₅	1	2	yes	—
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#125	—	2	1	no	—
743	#125	C₂³×C₅	1	2	yes	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	C₂³×C₅	1	2	yes	—
747	#123	—	2	1	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
755	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
756	#121	—	2	1	no	—
757	#121	—	2	1	no	—
758	#121	—	2	2	no	—
759	#121	—	2	1	no	—
760	#121	—	2	1	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	C₂³×C₅	1	2	yes	—
764	#121	C₂³×C₅	1	2	yes	—
765	#121	C₂³×C₅	1	1	yes	characteristic
766	#121	C₂³×C₅	1	1	yes	characteristic
767	#120	—	2	1	no	—
768	#120	—	2	2	no	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	—	2	2	no	—
771	C₄×Q₈	C₂³×C₅	1	2	yes	—
772	C₄×Q₈	C₂³×C₅	1	2	yes	—
773	C₄×Q₈	C₂³×C₅	1	2	yes	—
774	C₄×Q₈	C₂³×C₅	1	2	yes	—
775	C₄×Q₈	C₂³×C₅	1	2	yes	—
776	C₄×D₄	—	2	2	no	—
777	C₄×D₄	—	2	2	no	—
778	C₄×D₄	—	2	2	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	—	2	2	no	—
784	C₄×D₄	—	2	2	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	C₂³×C₅	1	2	yes	—
794	C₄×D₄	C₂³×C₅	1	2	yes	—
795	C₄×D₄	C₂³×C₅	1	2	yes	—
796	C₄×D₄	C₂³×C₅	1	2	yes	—
797	C₄×D₄	C₂³×C₅	1	2	yes	—
798	C₄×D₄	C₂³×C₅	1	2	yes	—
799	C₄×D₄	C₂³×C₅	1	2	yes	—
800	#117	—	2	1	no	—
801	#117	—	2	1	no	—
802	#117	—	2	1	no	—
803	#117	—	2	1	no	—
804	#117	—	2	1	no	—
805	#117	—	2	1	no	—
806	#117	—	2	1	no	—
807	#117	—	2	2	no	—
808	#117	—	2	2	no	—
809	#117	—	2	2	no	—
810	#117	—	2	2	no	—
811	#117	—	2	2	no	—
812	#117	C₅×D₄	1	1	yes	characteristic
813	#117	C₅×D₄	1	1	yes	characteristic
814	#117	C₅×D₄	1	2	yes	—
815	#117	C₂³×C₅	1	2	yes	—
816	#117	C₂³×C₅	1	2	yes	—
817	#117	C₂³×C₅	1	1	yes	characteristic
818	#117	C₂³×C₅	1	2	yes	—
819	#117	C₂³×C₅	1	1	yes	characteristic
820	#117	C₂³×C₅	1	1	yes	characteristic
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	—	2	1	no	—
823	C₂×C₄⋊C₄	—	2	1	no	—
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	—	2	1	no	—
826	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
831	C₂×C₂²⋊C₄	—	2	1	no	—
832	C₂×C₂²⋊C₄	—	2	1	no	—
833	C₂×C₂²⋊C₄	—	2	2	no	—
834	C₂×C₂²⋊C₄	—	2	2	no	—
835	C₂×C₂²⋊C₄	—	2	2	no	—
836	C₂×C₂²⋊C₄	C₅×D₄	1	2	yes	—
837	C₂×C₄²	—	2	1	no	—
838	C₂×C₄²	—	2	2	no	—
839	C₂×C₄²	—	2	2	no	—
840	C₂×C₄²	C₂³×C₅	1	2	yes	—
841	#107	C₂³×C₅	1	2	yes	—
842	#107	C₂³×C₅	1	2	yes	—
843	#107	C₂³×C₅	1	2	yes	—
844	#107	C₂³×C₅	1	2	yes	—
845	#106	C₂³×C₅	1	2	yes	—
846	#106	C₂³×C₅	1	2	yes	—
847	#106	C₂³×C₅	1	2	yes	—
848	#106	C₂³×C₅	1	2	yes	—
849	C₄⋊C₈	C₂³×C₅	1	2	yes	—
850	C₄⋊C₈	C₂³×C₅	1	2	yes	—
851	C₄⋊C₈	C₂³×C₅	1	2	yes	—
852	C₄⋊C₈	C₂³×C₅	1	2	yes	—
853	#103	C₂³×C₅	1	1	yes	characteristic
854	#103	C₂³×C₅	1	1	yes	characteristic
855	#103	C₂³×C₅	1	1	yes	characteristic
856	#103	C₂³×C₅	1	1	yes	characteristic
857	#103	C₂³×C₅	1	2	yes	—
858	#103	C₂³×C₅	1	2	yes	—
859	#103	C₂³×C₅	1	2	yes	—
860	#103	C₂³×C₅	1	2	yes	—
861	#102	C₂³×C₅	1	2	yes	—
862	#102	C₂³×C₅	1	2	yes	—
863	#102	C₂³×C₅	1	2	yes	—
864	#102	C₂³×C₅	1	2	yes	—
865	#102	C₂³×C₅	1	1	yes	characteristic
866	#102	C₂³×C₅	1	1	yes	characteristic
867	#102	C₂³×C₅	1	1	yes	characteristic
868	#102	C₂³×C₅	1	1	yes	characteristic
869	#102	C₂³×C₅	1	2	yes	—
870	#102	C₂³×C₅	1	2	yes	—
871	#102	C₂³×C₅	1	2	yes	—
872	#102	C₂³×C₅	1	2	yes	—
873	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
874	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
875	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
876	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
877	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
878	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
879	#97	C₂³×C₅	1	2	yes	—
880	#97	C₂³×C₅	1	2	yes	—
881	C₄×C₈	C₂³×C₅	1	2	yes	—
882	C₄×C₈	C₂³×C₅	1	2	yes	—
883	C₂²×C₅	—	2	1	no	—
884	C₂²×C₅	—	2	1	no	—
885	C₂²×C₅	—	2	1	no	—
886	C₂²×C₅	—	2	1	no	—
887	C₂²×C₅	—	2	1	no	—
888	C₂²×C₅	—	2	1	no	—
889	C₂²×C₅	—	2	1	no	—
890	C₂²×C₅	—	2	1	no	—
891	C₂²×C₅	—	2	2	no	—
892	C₂²×C₅	—	2	2	no	—
893	C₂²×C₅	—	4	1	no	—
894	C₂²×C₅	—	4	1	no	—
895	C₂²×C₅	—	4	1	no	—
896	C₂²×C₅	—	4	1	no	—
897	C₂²×C₅	—	4	2	no	—
898	C₂²×C₅	—	4	1	no	—
899	C₂²×C₅	—	4	1	no	—
900	C₂²×C₅	—	4	2	no	—
901	C₂²×C₅	—	4	1	no	—
902	C₂²×C₅	—	4	2	no	—
903	C₂²×C₅	—	8	2	no	—
904	C₂²×C₅	—	8	4	no	—
905	C₂²×C₅	—	16	2	no	—
906	C₂²×C₅	#525	1	2	yes	—
907	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
908	C₄×C₅	—	2	2	no	—
909	C₄×C₅	—	2	2	no	—
910	C₄×C₅	—	2	2	no	—
911	C₄×C₅	—	2	2	no	—
912	C₄×C₅	—	2	1	no	—
913	C₄×C₅	—	2	2	no	—
914	C₄×C₅	—	2	2	no	—
915	C₄×C₅	—	2	1	no	—
916	C₄×C₅	—	4	2	no	—
917	C₄×C₅	—	4	1	no	—
918	C₄×C₅	—	4	2	no	—
919	C₄×C₅	—	4	2	no	—
920	C₄×C₅	—	4	1	no	—
921	C₄×C₅	—	4	1	no	—
922	C₄×C₅	#525	1	2	yes	—
923	C₄×C₅	C₂²×#41	1	1	yes	characteristic
924	C₄×C₅	C₂²×#41	1	1	yes	characteristic
925	C₂⁴	—	2	1	no	—
926	C₂⁴	—	2	1	no	—
927	C₂⁴	C₂×C₅×D₄	1	1	yes	characteristic
928	#41	—	2	8	no	—
929	#41	—	2	8	no	—
930	#41	—	2	2	no	—
931	#41	—	2	2	no	—
932	#41	—	2	2	no	—
933	#41	—	2	2	no	—
934	#41	—	2	2	no	—
935	#41	—	2	2	no	—
936	#41	—	2	2	no	—
937	#41	—	2	2	no	—
938	#41	—	8	4	no	—
939	#41	C₅×#41	1	4	yes	complemented
940	#41	C₅×#41	1	4	yes	complemented
941	C₂×Q₈	—	2	2	no	—
942	C₂×Q₈	—	2	2	no	—
943	C₂×Q₈	—	2	1	no	—
944	C₂×Q₈	—	2	2	no	—
945	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
946	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
947	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
948	C₂×D₄	—	2	8	no	—
949	C₂×D₄	—	2	1	no	—
950	C₂×D₄	—	2	1	no	—
951	C₂×D₄	—	2	1	no	—
952	C₂×D₄	—	2	1	no	—
953	C₂×D₄	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	1	no	—
956	C₂×D₄	—	2	1	no	—
957	C₂×D₄	—	2	2	no	—
958	C₂×D₄	—	2	1	no	—
959	C₂×D₄	—	2	2	no	—
960	C₂×D₄	—	2	1	no	—
961	C₂×D₄	—	2	1	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	2	no	—
964	C₂×D₄	—	2	2	no	—
965	C₂×D₄	—	2	2	no	—
966	C₂×D₄	—	8	2	no	—
967	C₂×D₄	C₂⁴×C₅	1	2	yes	—
968	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
969	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
970	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
971	C₂²×C₄	—	2	8	no	—
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	2	1	no	—
976	C₂²×C₄	—	2	1	no	—
977	C₂²×C₄	—	2	2	no	—
978	C₂²×C₄	—	2	2	no	—
979	C₂²×C₄	—	2	1	no	—
980	C₂²×C₄	—	2	1	no	—
981	C₂²×C₄	—	2	1	no	—
982	C₂²×C₄	—	2	1	no	—
983	C₂²×C₄	—	2	2	no	—
984	C₂²×C₄	—	2	2	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	2	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	2	no	—
990	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
991	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
992	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
993	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
994	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
995	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
996	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
997	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
998	Q₁₆	—	2	2	no	—
999	Q₁₆	—	2	2	no	—
1000	SD₁₆	—	2	2	no	—
1001	SD₁₆	—	2	2	no	—
1002	SD₁₆	—	2	4	no	—
1003	SD₁₆	—	2	4	no	—
1004	SD₁₆	—	2	2	no	—
1005	SD₁₆	—	2	2	no	—
1006	D₈	—	2	2	no	—
1007	D₈	—	2	2	no	—
1008	D₈	—	2	4	no	—
1009	D₈	—	2	4	no	—
1010	M₁₆	—	2	2	no	—
1011	M₁₆	—	2	2	no	—
1012	C₂×C₈	—	2	2	no	—
1013	C₂×C₈	—	2	2	no	—
1014	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
1015	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
1016	C₂×C₈	C₂⁴×C₅	1	2	yes	—
1017	C₂×C₈	C₂⁴×C₅	1	2	yes	—
1018	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
1019	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	1	no	—
1022	C₄⋊C₄	—	2	1	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	2	no	—
1030	C₄⋊C₄	—	2	2	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1034	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1035	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1036	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1037	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1038	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1039	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1040	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1041	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1042	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1043	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	2	1	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	1	no	—
1048	C₂²⋊C₄	—	2	1	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	2	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	2	no	—
1054	C₂²⋊C₄	—	2	2	no	—
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	1	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	1	no	—
1062	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1063	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1064	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1065	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1066	C₄²	—	2	2	no	—
1067	C₄²	—	2	2	no	—
1068	C₄²	—	2	2	no	—
1069	C₄²	—	2	2	no	—
1070	C₄²	—	2	2	no	—
1071	C₄²	—	2	2	no	—
1072	C₄²	—	2	2	no	—
1073	C₄²	—	2	1	no	—
1074	C₄²	C₂×C₅×D₄	1	2	yes	—
1075	C₄²	C₂×C₅×D₄	1	2	yes	—
1076	C₄²	C₂⁴×C₅	1	2	yes	—
1077	C₄²	C₂⁴×C₅	1	2	yes	—
1078	C₂×C₅	—	2	2	no	—
1079	C₂×C₅	—	4	1	no	—
1080	C₂×C₅	—	4	1	no	—
1081	C₂×C₅	—	4	2	no	—
1082	C₂×C₅	—	4	2	no	—
1083	C₂×C₅	—	8	1	no	—
1084	C₂×C₅	—	8	2	no	—
1085	C₂×C₅	C₂×#525	1	1	yes	characteristic
1086	C₂×C₅	#3584	1	1	yes	characteristic
1087	C₂×C₅	#3585	1	1	yes	characteristic
1088	C₂³	—	2	4	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	2	no	—
1092	C₂³	—	2	2	no	—
1093	C₂³	—	2	1	no	—
1094	C₂³	—	4	1	no	—
1095	C₂³	—	4	1	no	—
1096	C₂³	—	4	2	no	—
1097	C₂³	—	8	1	no	—
1098	C₂³	—	8	1	no	—
1099	C₂³	—	8	1	no	—
1100	C₂³	—	8	1	no	—
1101	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1102	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1103	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1104	Q₈	—	2	4	no	—
1105	Q₈	—	2	1	no	—
1106	Q₈	—	2	1	no	—
1107	Q₈	—	2	1	no	—
1108	Q₈	—	2	1	no	—
1109	Q₈	—	8	2	no	—
1110	Q₈	C₂×C₅×#41	1	2	yes	—
1111	Q₈	C₂×C₅×#41	1	2	yes	—
1112	D₄	—	2	4	no	—
1113	D₄	—	2	4	no	—
1114	D₄	—	2	4	no	—
1115	D₄	—	2	4	no	—
1116	D₄	—	2	4	no	—
1117	D₄	—	2	1	no	—
1118	D₄	—	2	1	no	—
1119	D₄	—	2	2	no	—
1120	D₄	—	2	2	no	—
1121	D₄	—	2	1	no	—
1122	D₄	—	2	1	no	—
1123	D₄	—	4	4	no	—
1124	D₄	—	4	2	no	—
1125	D₄	—	4	2	no	—
1126	D₄	—	4	2	no	—
1127	D₄	—	8	2	no	—
1128	D₄	—	8	2	no	—
1129	D₄	—	8	2	no	—
1130	D₄	—	8	1	no	—
1131	D₄	C₂×C₅×#41	1	2	yes	—
1132	D₄	C₂×C₅×#41	1	2	yes	—
1133	C₂×C₄	—	2	4	no	—
1134	C₂×C₄	—	2	4	no	—
1135	C₂×C₄	—	2	4	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	4	no	—
1141	C₂×C₄	—	2	4	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	2	no	—
1148	C₂×C₄	—	2	2	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	4	2	no	—
1154	C₂×C₄	—	4	2	no	—
1155	C₂×C₄	—	4	2	no	—
1156	C₂×C₄	—	8	2	no	—
1157	C₂×C₄	—	8	2	no	—
1158	C₂×C₄	—	8	2	no	—
1159	C₂×C₄	—	8	2	no	—
1160	C₂×C₄	—	8	2	no	—
1161	C₂×C₄	—	8	2	no	—
1162	C₂×C₄	—	8	2	no	—
1163	C₂×C₄	—	8	1	no	—
1164	C₂×C₄	—	8	1	no	—
1165	C₂×C₄	—	8	1	no	—
1166	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1167	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1168	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1169	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1170	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1171	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1172	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1173	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1174	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1175	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
1176	C₈	—	2	1	no	—
1177	C₈	—	2	1	no	—
1178	C₈	—	2	1	no	—
1179	C₈	—	2	1	no	—
1180	C₈	—	2	2	no	—
1181	C₈	—	2	2	no	—
1182	C₅	#60587	1	1	yes	characteristic, direct product factor, Sylow
1183	C₂²	—	2	1	no	—
1184	C₂²	—	2	1	no	—
1185	C₂²	—	2	1	no	—
1186	C₂²	—	2	1	no	—
1187	C₂²	—	2	2	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	2	1	no	—
1190	C₂²	—	2	1	no	—
1191	C₂²	—	2	1	no	—
1192	C₂²	—	2	1	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	—	4	1	no	—
1195	C₂²	—	4	1	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	2	no	—
1199	C₂²	—	4	2	no	—
1200	C₂²	—	4	1	no	—
1201	C₂²	—	4	1	no	—
1202	C₂²	—	4	2	no	—
1203	C₂²	—	8	2	no	—
1204	C₂²	—	8	4	no	—
1205	C₂²	—	16	2	no	—
1206	C₂²	C₅×#525	1	2	yes	—
1207	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1208	C₄	—	2	1	no	—
1209	C₄	—	2	2	no	—
1210	C₄	—	2	2	no	—
1211	C₄	—	2	1	no	—
1212	C₄	—	2	2	no	—
1213	C₄	—	2	2	no	—
1214	C₄	—	2	2	no	—
1215	C₄	—	2	2	no	—
1216	C₄	—	4	1	no	—
1217	C₄	—	4	2	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	2	no	—
1220	C₄	—	4	2	no	—
1221	C₄	—	4	1	no	—
1222	C₄	C₅×#525	1	2	yes	—
1223	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1224	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1225	C₂	—	2	2	no	—
1226	C₂	—	4	1	no	—
1227	C₂	—	4	1	no	—
1228	C₂	—	4	2	no	—
1229	C₂	—	4	2	no	—
1230	C₂	—	8	2	no	—
1231	C₂	—	8	1	no	—
1232	C₂	C₂×C₅×#525	1	1	yes	characteristic
1233	C₂	C₅×#3584	1	1	yes	characteristic
1234	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×#3126	C₂	semidirect
4. C₅×#3122	C₂	semidirect
5. C₅×#3121	C₂	semidirect
6. C₅×#3118	C₂	semidirect
7. C₅×#3115	C₂	semidirect
8. C₅×#3111	C₂	semidirect
9. C₅×#3106	C₂	semidirect
10. C₅×#3102	C₂	semidirect
11. C₅×#3093	C₂	semidirect
12. C₂×C₅×#482	C₂	semidirect
13. C₅×#3084	C₂	semidirect
14. C₅×#3083	C₂	semidirect
15. C₅×#3045	C₂	semidirect
16. C₅×#3045	C₂	semidirect
17. C₅×#3006	C₂	semidirect
18. C₅×#3002	C₂	semidirect
19. C₅×#2952	C₂	semidirect
20. C₅×#2951	C₂	semidirect
21. C₅×#2946	C₂	semidirect
22. C₅×#2946	C₂	semidirect
23. C₅×#2924	C₂	semidirect
35. C₅×#544	C₂²	semidirect
38. C₅×#535	C₂²	semidirect
39. C₅×#532	C₂²	semidirect
40. C₅×#529	C₂²	semidirect
49. C₅×#520	C₂²	semidirect
50. C₅×#519	C₂²	semidirect
52. C₅×#518	C₂²	semidirect
53. C₅×#518	C₂²	semidirect
55. C₄×C₅×#41	C₂²	semidirect
56. C₄×C₅×#41	C₂²	semidirect
61. C₅×#485	C₂²	semidirect
62. C₅×#485	C₂²	semidirect
65. C₅×#482	C₂²	semidirect
66. C₅×#482	C₂²	semidirect
67. C₅×#482	C₂²	semidirect
68. C₅×#482	C₂²	semidirect
69. C₅×#479	C₂²	semidirect
70. C₅×#479	C₂²	semidirect
71. C₅×#478	C₂²	semidirect
72. C₅×#478	C₂²	semidirect
73. C₅×#477	C₂²	semidirect
74. C₅×#476	C₂²	semidirect
75. C₅×#475	C₂²	semidirect
76. C₅×#474	C₂²	semidirect
77. C₅×#464	C₂²	semidirect
78. C₅×#464	C₂²	semidirect
79. C₅×#463	C₂²	semidirect
80. C₅×#463	C₂²	semidirect
81. C₅×#460	C₂²	semidirect
82. C₅×#460	C₂²	semidirect
83. C₅×#459	C₂²	semidirect
84. C₅×#459	C₂²	semidirect
85. C₅×#452	C₂²	semidirect
86. C₅×#452	C₂²	semidirect
87. C₅×#451	C₂²	semidirect
88. C₅×#450	C₂²	semidirect
91. C₅×#449	C₂²	semidirect
92. C₅×#449	C₂²	semidirect
94. C₅×#448	C₂²	semidirect
96. C₅×#447	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
117. C₅×#428	C₂²	semidirect
118. C₅×#428	C₂²	semidirect
119. C₂×C₅×#107	C₂²	semidirect
120. C₂×C₅×#106	C₂²	semidirect
121. C₅×#424	C₂²	semidirect
122. C₅×#424	C₂²	semidirect
125. C₅×#417	C₂²	semidirect
126. C₅×#417	C₂²	semidirect
129. C₂×C₅×#102	C₂²	semidirect
130. C₂×C₅×#102	C₂²	semidirect
133. C₅×#405	C₂²	semidirect
134. C₅×#405	C₂²	semidirect
135. #60587	C₅	direct (N × H)
319. #3494	C₂×C₅	semidirect
320. #3428	C₂×C₅	semidirect
321. #3126	C₂×C₅	semidirect
322. #3122	C₂×C₅	semidirect
323. #3121	C₂×C₅	semidirect
324. #3118	C₂×C₅	semidirect
325. #3115	C₂×C₅	semidirect
326. #3111	C₂×C₅	semidirect
327. #3106	C₂×C₅	semidirect
328. #3102	C₂×C₅	semidirect
329. #3093	C₂×C₅	semidirect
330. C₂×#482	C₂×C₅	semidirect
331. #3084	C₂×C₅	semidirect
332. #3083	C₂×C₅	semidirect
333. #3045	C₂×C₅	semidirect
334. #3045	C₂×C₅	semidirect
335. #3006	C₂×C₅	semidirect
336. #3002	C₂×C₅	semidirect
337. #2952	C₂×C₅	semidirect
338. #2951	C₂×C₅	semidirect
339. #2946	C₂×C₅	semidirect
340. #2946	C₂×C₅	semidirect
341. #2924	C₂×C₅	semidirect
356. C₅×#41	#41	semidirect
357. C₅×#41	#41	semidirect
506. #544	C₂²×C₅	semidirect
509. #535	C₂²×C₅	semidirect
510. #532	C₂²×C₅	semidirect
511. #529	C₂²×C₅	semidirect
520. #520	C₂²×C₅	semidirect
521. #519	C₂²×C₅	semidirect
523. #518	C₂²×C₅	semidirect
524. #518	C₂²×C₅	semidirect
526. C₄×#41	C₂²×C₅	semidirect
527. C₄×#41	C₂²×C₅	semidirect
532. #485	C₂²×C₅	semidirect
533. #485	C₂²×C₅	semidirect
536. #482	C₂²×C₅	semidirect
537. #482	C₂²×C₅	semidirect
538. #482	C₂²×C₅	semidirect
539. #482	C₂²×C₅	semidirect
540. #479	C₂²×C₅	semidirect
541. #479	C₂²×C₅	semidirect
542. #478	C₂²×C₅	semidirect
543. #478	C₂²×C₅	semidirect
544. #477	C₂²×C₅	semidirect
545. #476	C₂²×C₅	semidirect
546. #475	C₂²×C₅	semidirect
547. #474	C₂²×C₅	semidirect
548. #464	C₂²×C₅	semidirect
549. #464	C₂²×C₅	semidirect
550. #463	C₂²×C₅	semidirect
551. #463	C₂²×C₅	semidirect
552. #460	C₂²×C₅	semidirect
553. #460	C₂²×C₅	semidirect
554. #459	C₂²×C₅	semidirect
555. #459	C₂²×C₅	semidirect
556. #452	C₂²×C₅	semidirect
557. #452	C₂²×C₅	semidirect
558. #451	C₂²×C₅	semidirect
559. #450	C₂²×C₅	semidirect
562. #449	C₂²×C₅	semidirect
563. #449	C₂²×C₅	semidirect
565. #448	C₂²×C₅	semidirect
567. #447	C₂²×C₅	semidirect
568. #442	C₂²×C₅	semidirect
569. #442	C₂²×C₅	semidirect
570. #442	C₂²×C₅	semidirect
571. #441	C₂²×C₅	semidirect
572. #440	C₂²×C₅	semidirect
573. #440	C₂²×C₅	semidirect
574. #440	C₂²×C₅	semidirect
575. #440	C₂²×C₅	semidirect
576. C₄×Q₁₆	C₂²×C₅	semidirect
577. C₄×SD₁₆	C₂²×C₅	semidirect
578. C₄×SD₁₆	C₂²×C₅	semidirect
579. C₄×SD₁₆	C₂²×C₅	semidirect
580. C₄×SD₁₆	C₂²×C₅	semidirect
581. C₄×D₈	C₂²×C₅	semidirect
582. C₄×D₈	C₂²×C₅	semidirect
583. C₄×D₈	C₂²×C₅	semidirect
584. #433	C₂²×C₅	semidirect
585. #433	C₂²×C₅	semidirect
586. #432	C₂²×C₅	semidirect
587. #431	C₂²×C₅	semidirect
588. #428	C₂²×C₅	semidirect
589. #428	C₂²×C₅	semidirect
590. C₂×#107	C₂²×C₅	semidirect
591. C₂×#106	C₂²×C₅	semidirect
592. #424	C₂²×C₅	semidirect
593. #424	C₂²×C₅	semidirect
596. #417	C₂²×C₅	semidirect
597. #417	C₂²×C₅	semidirect
600. C₂×#102	C₂²×C₅	semidirect
601. C₂×#102	C₂²×C₅	semidirect
604. #405	C₂²×C₅	semidirect
605. #405	C₂²×C₅	semidirect
939. #41	C₅×#41	semidirect
940. #41	C₅×#41	semidirect
1182. C₅	#60587	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×#3126	2
C₅×#3122	2
C₅×#3121	2
C₅×#3118	2
C₅×#3115	2
C₅×#3111	2
C₅×#3106	2
C₅×#3102	2
C₅×#3093	2
C₂×C₅×#482	2
C₅×#3084	2
C₅×#3083	2
C₅×#3045	2
C₅×#3006	2
C₅×#3002	2
C₅×#2952	2
C₅×#2951	2
C₅×#2946	2
C₅×#2924	2
#60587	5

Subgroups — C5×#60587 #11983307

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#60587 #11983307