Subgroups — C₅×#34740 #11957460

Order 1280.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2481	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2480	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2479	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2478	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2477	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2476	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2475	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2474	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2473	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2472	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2471	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2470	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2449	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2443	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2424	C₂	1	1	yes	maximal, characteristic
18	C₅×#2418	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2396	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2395	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2395	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2392	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₅×#120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₅×#120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅×#2298	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅×#2293	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic
33	C₅×#529	—	2	8	no	—
34	C₂×C₅×#126	C₂²	1	1	yes	characteristic
35	C₂×C₅×#126	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₅×#124	C₂²	1	1	yes	characteristic
38	C₂×C₅×#123	C₂²	1	1	yes	characteristic
39	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₅×#121	C₂²	1	1	yes	characteristic
43	C₂×C₅×#121	C₂²	1	1	yes	characteristic
44	C₂×C₅×#120	C₂²	1	1	yes	characteristic
45	C₂×C₅×#120	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
51	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
53	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₅×#117	—	2	8	no	—
57	C₂×C₅×#117	C₂²	1	1	yes	characteristic
58	C₂×C₅×#117	C₂²	1	1	yes	characteristic
59	C₂×C₅×#117	C₂²	1	1	yes	characteristic
60	C₂×C₅×#117	C₂²	1	1	yes	characteristic
61	C₂×C₅×#117	C₂²	1	1	yes	characteristic
62	C₂×C₅×#117	C₂²	1	1	yes	characteristic
63	C₂×C₅×#117	C₂²	1	1	yes	characteristic
64	C₂×C₅×#117	C₂²	1	1	yes	characteristic
65	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
66	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
67	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
69	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
71	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
72	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
73	C₅×#400	C₂²	1	1	yes	characteristic, complemented
74	C₅×#400	C₂²	1	1	yes	characteristic, complemented
75	C₅×#400	C₂²	1	1	yes	characteristic, complemented
76	C₅×#399	C₂²	1	1	yes	characteristic
77	C₅×#399	C₂²	1	1	yes	characteristic, complemented
78	C₅×#399	C₂²	1	1	yes	characteristic, complemented
79	C₅×#398	C₂²	1	1	yes	characteristic, complemented
80	C₅×#398	C₂²	1	1	yes	characteristic, complemented
81	C₅×#398	C₂²	1	1	yes	characteristic, complemented
82	C₅×#398	C₂²	1	1	yes	characteristic, complemented
83	C₅×#398	C₂²	1	1	yes	characteristic, complemented
84	C₅×#397	C₂²	1	1	yes	characteristic
85	C₅×#397	C₂²	1	1	yes	characteristic
86	C₅×#397	C₂²	1	1	yes	characteristic
87	C₅×#397	C₂²	1	1	yes	characteristic
88	C₅×#397	C₂²	1	1	yes	characteristic
89	C₅×#397	C₂²	1	1	yes	characteristic, complemented
90	C₅×#397	C₂²	1	1	yes	characteristic, complemented
91	C₅×#396	C₂²	1	1	yes	characteristic
92	C₅×#396	C₂²	1	1	yes	characteristic
93	C₅×#396	C₂²	1	1	yes	characteristic, complemented
94	C₅×#396	C₂²	1	1	yes	characteristic, complemented
95	C₅×#395	C₂²	1	1	yes	characteristic, complemented
96	C₅×#394	C₂²	1	1	yes	characteristic
97	C₅×#394	C₂²	1	1	yes	characteristic
98	C₅×#394	C₂²	1	1	yes	characteristic
99	C₅×#394	C₂²	1	1	yes	characteristic
100	C₅×#394	C₂²	1	1	yes	characteristic
101	C₅×#394	C₂²	1	1	yes	characteristic
102	C₅×#394	C₂²	1	1	yes	characteristic, complemented
103	C₅×#393	C₂²	1	1	yes	characteristic
104	C₅×#392	C₂²	1	1	yes	characteristic
105	C₅×#391	C₂²	1	1	yes	characteristic, complemented
106	C₅×#390	C₂²	1	1	yes	characteristic
107	C₅×#390	C₂²	1	1	yes	characteristic
108	C₅×#390	C₂²	1	1	yes	characteristic, complemented
109	C₅×#389	C₂²	1	1	yes	characteristic, complemented
110	C₅×#389	C₂²	1	1	yes	characteristic, complemented
111	C₅×#389	C₂²	1	1	yes	characteristic, complemented
112	C₅×#389	C₂²	1	1	yes	characteristic, complemented
113	C₅×#388	C₂²	1	1	yes	characteristic
114	C₅×#388	C₂²	1	1	yes	characteristic
115	C₅×#388	C₂²	1	1	yes	characteristic
116	C₅×#388	C₂²	1	1	yes	characteristic
117	C₅×#388	C₂²	1	1	yes	characteristic
118	C₅×#388	C₂²	1	1	yes	characteristic
119	C₅×#388	C₂²	1	1	yes	characteristic
120	C₅×#388	C₂²	1	1	yes	characteristic
121	C₅×#388	C₂²	1	1	yes	characteristic, complemented
122	C₅×#388	C₂²	1	1	yes	characteristic, complemented
123	C₅×#388	C₂²	1	1	yes	characteristic, complemented
124	C₅×#388	C₂²	1	1	yes	characteristic, complemented
125	C₅×#388	C₂²	1	1	yes	characteristic, complemented
126	C₅×#388	C₂²	1	1	yes	characteristic, complemented
127	C₅×#387	C₂²	1	1	yes	characteristic, complemented
128	C₅×#387	C₂²	1	1	yes	characteristic, complemented
129	C₅×#387	C₂²	1	1	yes	characteristic, complemented
130	C₅×#387	C₂²	1	1	yes	characteristic, complemented
131	C₅×#387	C₂²	1	1	yes	characteristic, complemented
132	C₅×#387	C₂²	1	1	yes	characteristic, complemented
133	C₅×#387	C₂²	1	1	yes	characteristic, complemented
134	C₅×#387	C₂²	1	1	yes	characteristic, complemented
135	C₅×#387	C₂²	1	1	yes	characteristic, complemented
136	C₅×#387	C₂²	1	1	yes	characteristic, complemented
137	C₅×#386	C₂²	1	1	yes	characteristic
138	C₅×#386	C₂²	1	1	yes	characteristic
139	C₅×#386	C₂²	1	1	yes	characteristic
140	C₅×#386	C₂²	1	1	yes	characteristic
141	C₅×#386	C₂²	1	1	yes	characteristic
142	C₅×#386	C₂²	1	1	yes	characteristic
143	C₅×#386	C₂²	1	1	yes	characteristic
144	C₅×#386	C₂²	1	1	yes	characteristic
145	C₅×#386	C₂²	1	1	yes	characteristic
146	C₅×#386	C₂²	1	1	yes	characteristic
147	C₅×#386	C₂²	1	1	yes	characteristic
148	C₅×#386	C₂²	1	1	yes	characteristic
149	C₅×#385	C₂²	1	1	yes	characteristic
150	C₅×#385	C₂²	1	1	yes	characteristic
151	C₅×#385	C₂²	1	1	yes	characteristic
152	C₅×#385	C₂²	1	1	yes	characteristic
153	C₅×#385	C₂²	1	1	yes	characteristic
154	C₅×#385	C₂²	1	1	yes	characteristic
155	C₅×#385	C₂²	1	1	yes	characteristic
156	C₅×#385	C₂²	1	1	yes	characteristic
157	C₅×#385	C₂²	1	1	yes	characteristic
158	C₅×#385	C₂²	1	1	yes	characteristic
159	C₅×#385	C₂²	1	1	yes	characteristic, complemented
160	C₅×#385	C₂²	1	1	yes	characteristic, complemented
161	C₅×#380	C₂²	1	1	yes	characteristic
162	C₅×#380	C₂²	1	1	yes	characteristic
163	C₅×#379	C₂²	1	1	yes	characteristic
164	C₅×#379	C₂²	1	1	yes	characteristic
165	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₅×#376	C₂²	1	1	yes	characteristic, complemented
188	C₄³×C₅	C₂²	1	1	yes	characteristic, complemented
189	#34740	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
190	C₂⁵×C₅	C₂³	1	1	yes	characteristic
191	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
192	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
194	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
195	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
196	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
197	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
198	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₅	—	2	4	no	—
200	C₂³×C₄×C₅	—	2	4	no	—
201	C₂³×C₄×C₅	—	2	4	no	—
202	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
216	C₅×#126	—	2	4	no	—
217	C₅×#126	—	2	4	no	—
218	C₅×#125	—	2	4	no	—
219	C₅×#124	—	2	4	no	—
220	C₅×#123	—	2	4	no	—
221	C₅×#123	—	2	4	no	—
222	C₅×C₂²⋊Q₈	—	2	4	no	—
223	C₅×C₂²⋊Q₈	—	2	4	no	—
224	C₅×#121	—	2	4	no	—
225	C₅×#121	—	2	4	no	—
226	C₅×#120	—	2	4	no	—
227	C₅×#120	—	2	4	no	—
228	C₄×C₅×Q₈	—	2	4	no	—
229	C₄×C₅×D₄	—	2	4	no	—
230	C₄×C₅×D₄	—	2	4	no	—
231	C₄×C₅×D₄	—	2	4	no	—
232	C₄×C₅×D₄	—	2	4	no	—
233	C₄×C₅×D₄	—	2	4	no	—
234	C₄×C₅×D₄	—	2	4	no	—
235	C₄×C₅×D₄	—	2	4	no	—
236	C₄×C₅×D₄	—	2	4	no	—
237	C₄×C₅×D₄	—	2	4	no	—
238	C₅×#117	—	2	4	no	—
239	C₅×#117	—	2	4	no	—
240	C₅×#117	—	2	4	no	—
241	C₅×#117	—	2	4	no	—
242	C₅×#117	—	2	4	no	—
243	C₅×#117	—	2	4	no	—
244	C₅×#117	—	2	4	no	—
245	C₅×#117	—	2	4	no	—
246	C₅×#117	D₄	1	8	yes	complemented
247	C₂×C₅×C₄⋊C₄	—	2	4	no	—
248	C₂×C₅×C₄⋊C₄	—	2	4	no	—
249	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₅×C₄⋊C₄	C₂³	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×C₄⋊C₄	C₂³	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
282	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
283	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₅	—	2	4	no	—
328	C₂×C₄²×C₅	—	2	4	no	—
329	C₂×C₄²×C₅	—	2	4	no	—
330	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
350	C₅×#95	C₂³	1	1	yes	characteristic
351	C₅×#95	C₂³	1	1	yes	characteristic
352	C₅×#95	C₂³	1	1	yes	characteristic
353	C₅×#95	C₂³	1	1	yes	characteristic
354	C₅×#95	C₂³	1	1	yes	characteristic
355	C₅×#95	C₂³	1	1	yes	characteristic
356	C₅×#95	C₂³	1	1	yes	characteristic
357	C₅×#95	C₂³	1	1	yes	characteristic
358	C₅×#95	C₂³	1	1	yes	characteristic
359	C₅×#95	C₂³	1	1	yes	characteristic
360	C₅×#95	C₂³	1	1	yes	characteristic
361	C₅×#95	C₂³	1	1	yes	characteristic
362	C₅×#95	C₂³	1	1	yes	characteristic
363	C₅×#95	C₂³	1	1	yes	characteristic
364	C₅×#95	C₂³	1	1	yes	characteristic
365	C₅×#95	C₂³	1	1	yes	characteristic
366	C₅×#95	C₂³	1	1	yes	characteristic
367	C₅×#95	C₂³	1	1	yes	characteristic
368	C₅×#95	C₂³	1	1	yes	characteristic
369	C₅×#95	C₂³	1	1	yes	characteristic
370	C₅×#95	C₂³	1	1	yes	characteristic
371	C₅×#95	C₂³	1	1	yes	characteristic
372	C₅×#95	C₂³	1	1	yes	characteristic
373	C₅×#95	C₂³	1	1	yes	characteristic
374	C₅×#95	C₂³	1	1	yes	characteristic
375	C₅×#95	C₂³	1	1	yes	characteristic
376	C₅×#95	C₂³	1	1	yes	characteristic
377	C₅×#95	C₂³	1	1	yes	characteristic
378	C₅×#95	C₂³	1	1	yes	characteristic
379	C₅×#95	C₂³	1	1	yes	characteristic
380	C₅×#95	C₂³	1	1	yes	characteristic
381	C₅×#95	C₂³	1	1	yes	characteristic
382	C₅×#95	C₂³	1	1	yes	characteristic
383	C₅×#95	C₂³	1	1	yes	characteristic
384	C₅×#95	C₂³	1	1	yes	characteristic
385	C₅×#95	C₂³	1	1	yes	characteristic
386	C₂×#529	C₂×C₅	1	1	yes	characteristic, complemented
387	C₂²×#117	C₂×C₅	1	1	yes	characteristic, complemented
388	#2481	C₂×C₅	1	1	yes	characteristic, complemented
389	#2480	C₂×C₅	1	1	yes	characteristic, complemented
390	#2479	C₂×C₅	1	1	yes	characteristic, complemented
391	#2478	C₂×C₅	1	1	yes	characteristic, complemented
392	#2477	C₂×C₅	1	1	yes	characteristic, complemented
393	#2476	C₂×C₅	1	1	yes	characteristic, complemented
394	#2475	C₂×C₅	1	1	yes	characteristic, complemented
395	#2474	C₂×C₅	1	1	yes	characteristic, complemented
396	#2473	C₂×C₅	1	1	yes	characteristic, complemented
397	#2472	C₂×C₅	1	1	yes	characteristic, complemented
398	#2471	C₂×C₅	1	1	yes	characteristic, complemented
399	#2470	C₂×C₅	1	1	yes	characteristic, complemented
400	#2449	C₂×C₅	1	1	yes	characteristic, complemented
401	#2443	C₂×C₅	1	1	yes	characteristic, complemented
402	#2424	C₂×C₅	1	1	yes	characteristic
403	#2418	C₂×C₅	1	1	yes	characteristic, complemented
404	#2396	C₂×C₅	1	1	yes	characteristic, complemented
405	#2395	C₂×C₅	1	1	yes	characteristic, complemented
406	#2395	C₂×C₅	1	1	yes	characteristic, complemented
407	#2392	C₂×C₅	1	1	yes	characteristic, complemented
408	C₄×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
409	C₄×#121	C₂×C₅	1	1	yes	characteristic, complemented
410	C₄×#120	C₂×C₅	1	1	yes	characteristic, complemented
411	C₄×#120	C₂×C₅	1	1	yes	characteristic, complemented
412	#2298	C₂×C₅	1	1	yes	characteristic, complemented
413	#2293	C₂×C₅	1	1	yes	characteristic, complemented
414	#2290	C₂×C₅	1	1	yes	characteristic, complemented
415	#2290	C₂×C₅	1	1	yes	characteristic, complemented
416	C₄²×D₄	C₂×C₅	1	1	yes	characteristic, complemented
417	C₂⁴×C₅	—	2	2	no	—
418	C₂⁴×C₅	—	2	2	no	—
419	C₂⁴×C₅	—	2	2	no	—
420	C₂⁴×C₅	—	2	2	no	—
421	C₂⁴×C₅	—	2	2	no	—
422	C₂⁴×C₅	—	4	1	no	—
423	C₂⁴×C₅	—	4	1	no	—
424	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
425	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
426	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
427	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
428	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
429	C₂×C₅×Q₈	—	2	2	no	—
430	C₂×C₅×Q₈	—	2	2	no	—
431	C₂×C₅×Q₈	—	4	1	no	—
432	C₂×C₅×D₄	—	2	2	no	—
433	C₂×C₅×D₄	—	2	2	no	—
434	C₂×C₅×D₄	—	2	2	no	—
435	C₂×C₅×D₄	—	2	2	no	—
436	C₂×C₅×D₄	—	2	2	no	—
437	C₂×C₅×D₄	—	2	2	no	—
438	C₂×C₅×D₄	—	2	2	no	—
439	C₂×C₅×D₄	—	2	2	no	—
440	C₂×C₅×D₄	—	2	2	no	—
441	C₂×C₅×D₄	—	2	2	no	—
442	C₂×C₅×D₄	—	2	2	no	—
443	C₂×C₅×D₄	—	2	2	no	—
444	C₂×C₅×D₄	—	2	2	no	—
445	C₂×C₅×D₄	—	2	2	no	—
446	C₂×C₅×D₄	—	2	2	no	—
447	C₂×C₅×D₄	—	4	1	no	—
448	C₂×C₅×D₄	—	4	1	no	—
449	C₂×C₅×D₄	—	4	1	no	—
450	C₂×C₅×D₄	—	4	1	no	—
451	C₂×C₅×D₄	—	4	1	no	—
452	C₂×C₅×D₄	#41	1	4	yes	—
453	C₂²×C₄×C₅	—	2	32	no	—
454	C₂²×C₄×C₅	—	2	2	no	—
455	C₂²×C₄×C₅	—	2	2	no	—
456	C₂²×C₄×C₅	—	2	2	no	—
457	C₂²×C₄×C₅	—	2	2	no	—
458	C₂²×C₄×C₅	—	2	2	no	—
459	C₂²×C₄×C₅	—	2	2	no	—
460	C₂²×C₄×C₅	—	2	2	no	—
461	C₂²×C₄×C₅	—	2	2	no	—
462	C₂²×C₄×C₅	—	2	2	no	—
463	C₂²×C₄×C₅	—	2	2	no	—
464	C₂²×C₄×C₅	—	2	2	no	—
465	C₂²×C₄×C₅	—	2	2	no	—
466	C₂²×C₄×C₅	—	2	2	no	—
467	C₂²×C₄×C₅	—	2	2	no	—
468	C₂²×C₄×C₅	—	2	2	no	—
469	C₂²×C₄×C₅	—	2	2	no	—
470	C₂²×C₄×C₅	—	2	2	no	—
471	C₂²×C₄×C₅	—	2	2	no	—
472	C₂²×C₄×C₅	—	2	2	no	—
473	C₂²×C₄×C₅	—	2	2	no	—
474	C₂²×C₄×C₅	—	2	2	no	—
475	C₂²×C₄×C₅	—	2	2	no	—
476	C₂²×C₄×C₅	—	2	2	no	—
477	C₂²×C₄×C₅	—	2	2	no	—
478	C₂²×C₄×C₅	—	2	2	no	—
479	C₂²×C₄×C₅	—	2	2	no	—
480	C₂²×C₄×C₅	—	2	2	no	—
481	C₂²×C₄×C₅	—	2	2	no	—
482	C₂²×C₄×C₅	—	2	2	no	—
483	C₂²×C₄×C₅	—	2	2	no	—
484	C₂²×C₄×C₅	—	2	2	no	—
485	C₂²×C₄×C₅	—	2	2	no	—
486	C₂²×C₄×C₅	—	2	2	no	—
487	C₂²×C₄×C₅	—	4	1	no	—
488	C₂²×C₄×C₅	—	4	1	no	—
489	C₂²×C₄×C₅	—	4	1	no	—
490	C₂²×C₄×C₅	—	4	1	no	—
491	C₂²×C₄×C₅	—	4	1	no	—
492	C₂²×C₄×C₅	—	4	1	no	—
493	C₂²×C₄×C₅	C₂×D₄	1	4	yes	—
494	C₂²×C₄×C₅	#41	1	4	yes	—
495	C₂²×C₄×C₅	#41	1	4	yes	—
496	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
522	C₅×C₄⋊C₄	—	2	2	no	—
523	C₅×C₄⋊C₄	—	2	2	no	—
524	C₅×C₄⋊C₄	—	2	2	no	—
525	C₅×C₄⋊C₄	—	2	2	no	—
526	C₅×C₄⋊C₄	—	2	2	no	—
527	C₅×C₄⋊C₄	—	2	2	no	—
528	C₅×C₄⋊C₄	—	2	2	no	—
529	C₅×C₄⋊C₄	—	2	2	no	—
530	C₅×C₄⋊C₄	—	2	2	no	—
531	C₅×C₄⋊C₄	—	2	2	no	—
532	C₅×C₄⋊C₄	—	2	2	no	—
533	C₅×C₄⋊C₄	—	2	2	no	—
534	C₅×C₄⋊C₄	—	2	2	no	—
535	C₅×C₄⋊C₄	—	2	2	no	—
536	C₅×C₄⋊C₄	—	2	2	no	—
537	C₅×C₄⋊C₄	—	2	2	no	—
538	C₅×C₄⋊C₄	—	2	2	no	—
539	C₅×C₄⋊C₄	—	2	2	no	—
540	C₅×C₄⋊C₄	—	2	2	no	—
541	C₅×C₄⋊C₄	—	2	2	no	—
542	C₅×C₄⋊C₄	—	2	2	no	—
543	C₅×C₄⋊C₄	—	2	2	no	—
544	C₅×C₄⋊C₄	—	2	2	no	—
545	C₅×C₄⋊C₄	—	2	2	no	—
546	C₅×C₄⋊C₄	—	4	1	no	—
547	C₅×C₄⋊C₄	—	4	1	no	—
548	C₅×C₄⋊C₄	—	4	1	no	—
549	C₅×C₄⋊C₄	—	4	1	no	—
550	C₅×C₄⋊C₄	—	4	1	no	—
551	C₅×C₄⋊C₄	—	4	1	no	—
552	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	—
553	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	—
554	C₅×C₂²⋊C₄	—	2	2	no	—
555	C₅×C₂²⋊C₄	—	2	2	no	—
556	C₅×C₂²⋊C₄	—	2	2	no	—
557	C₅×C₂²⋊C₄	—	2	2	no	—
558	C₅×C₂²⋊C₄	—	2	2	no	—
559	C₅×C₂²⋊C₄	—	2	2	no	—
560	C₅×C₂²⋊C₄	—	2	2	no	—
561	C₅×C₂²⋊C₄	—	2	2	no	—
562	C₅×C₂²⋊C₄	—	2	2	no	—
563	C₅×C₂²⋊C₄	—	2	2	no	—
564	C₅×C₂²⋊C₄	—	2	2	no	—
565	C₅×C₂²⋊C₄	—	2	2	no	—
566	C₅×C₂²⋊C₄	—	2	2	no	—
567	C₅×C₂²⋊C₄	—	2	2	no	—
568	C₅×C₂²⋊C₄	—	2	2	no	—
569	C₅×C₂²⋊C₄	—	2	2	no	—
570	C₅×C₂²⋊C₄	—	2	2	no	—
571	C₅×C₂²⋊C₄	—	2	2	no	—
572	C₅×C₂²⋊C₄	—	2	2	no	—
573	C₅×C₂²⋊C₄	—	2	2	no	—
574	C₅×C₂²⋊C₄	—	2	2	no	—
575	C₅×C₂²⋊C₄	—	2	2	no	—
576	C₅×C₂²⋊C₄	—	2	2	no	—
577	C₅×C₂²⋊C₄	—	2	2	no	—
578	C₅×C₂²⋊C₄	—	2	2	no	—
579	C₅×C₂²⋊C₄	—	2	2	no	—
580	C₅×C₂²⋊C₄	—	2	2	no	—
581	C₅×C₂²⋊C₄	—	2	2	no	—
582	C₅×C₂²⋊C₄	—	2	2	no	—
583	C₅×C₂²⋊C₄	—	2	2	no	—
584	C₅×C₂²⋊C₄	—	2	2	no	—
585	C₅×C₂²⋊C₄	—	2	2	no	—
586	C₅×C₂²⋊C₄	—	2	2	no	—
587	C₅×C₂²⋊C₄	—	4	1	no	—
588	C₅×C₂²⋊C₄	—	4	1	no	—
589	C₅×C₂²⋊C₄	—	4	1	no	—
590	C₅×C₂²⋊C₄	—	4	1	no	—
591	C₅×C₂²⋊C₄	—	4	1	no	—
592	C₅×C₂²⋊C₄	—	4	1	no	—
593	C₅×C₂²⋊C₄	—	4	1	no	—
594	C₅×C₂²⋊C₄	—	4	1	no	—
595	C₅×C₂²⋊C₄	C₂×D₄	1	4	yes	—
596	C₅×C₂²⋊C₄	C₂×D₄	1	4	yes	—
597	C₅×C₂²⋊C₄	#41	1	4	yes	—
598	C₄²×C₅	—	2	2	no	—
599	C₄²×C₅	—	2	2	no	—
600	C₄²×C₅	—	2	2	no	—
601	C₄²×C₅	—	2	2	no	—
602	C₄²×C₅	—	2	2	no	—
603	C₄²×C₅	—	2	2	no	—
604	C₄²×C₅	—	2	2	no	—
605	C₄²×C₅	—	2	2	no	—
606	C₄²×C₅	—	2	2	no	—
607	C₄²×C₅	—	2	2	no	—
608	C₄²×C₅	—	2	2	no	—
609	C₄²×C₅	—	2	2	no	—
610	C₄²×C₅	—	2	2	no	—
611	C₄²×C₅	—	2	2	no	—
612	C₄²×C₅	—	2	2	no	—
613	C₄²×C₅	—	2	2	no	—
614	C₄²×C₅	—	4	1	no	—
615	C₄²×C₅	—	4	1	no	—
616	C₄²×C₅	C₂×D₄	1	4	yes	—
617	C₄²×C₅	C₂×D₄	1	4	yes	—
618	C₂⁴×C₄	C₂²×C₅	1	1	yes	characteristic
619	#529	—	2	8	no	—
620	C₂×#126	C₂²×C₅	1	1	yes	characteristic
621	C₂×#126	C₂²×C₅	1	1	yes	characteristic, complemented
622	C₂×#125	C₂²×C₅	1	1	yes	characteristic, complemented
623	C₂×#124	C₂²×C₅	1	1	yes	characteristic
624	C₂×#123	C₂²×C₅	1	1	yes	characteristic
625	C₂×#123	C₂²×C₅	1	1	yes	characteristic, complemented
626	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
627	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
628	C₂×#121	C₂²×C₅	1	1	yes	characteristic
629	C₂×#121	C₂²×C₅	1	1	yes	characteristic
630	C₂×#120	C₂²×C₅	1	1	yes	characteristic
631	C₂×#120	C₂²×C₅	1	1	yes	characteristic
632	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
633	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
634	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
635	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
636	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
637	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
638	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
639	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
640	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
641	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
642	C₂×#117	—	2	8	no	—
643	C₂×#117	C₂²×C₅	1	1	yes	characteristic
644	C₂×#117	C₂²×C₅	1	1	yes	characteristic
645	C₂×#117	C₂²×C₅	1	1	yes	characteristic
646	C₂×#117	C₂²×C₅	1	1	yes	characteristic
647	C₂×#117	C₂²×C₅	1	1	yes	characteristic
648	C₂×#117	C₂²×C₅	1	1	yes	characteristic
649	C₂×#117	C₂²×C₅	1	1	yes	characteristic
650	C₂×#117	C₂²×C₅	1	1	yes	characteristic
651	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
652	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
653	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
654	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
655	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
656	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
657	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
658	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
659	#400	C₂²×C₅	1	1	yes	characteristic, complemented
660	#400	C₂²×C₅	1	1	yes	characteristic, complemented
661	#400	C₂²×C₅	1	1	yes	characteristic, complemented
662	#399	C₂²×C₅	1	1	yes	characteristic
663	#399	C₂²×C₅	1	1	yes	characteristic, complemented
664	#399	C₂²×C₅	1	1	yes	characteristic, complemented
665	#398	C₂²×C₅	1	1	yes	characteristic, complemented
666	#398	C₂²×C₅	1	1	yes	characteristic, complemented
667	#398	C₂²×C₅	1	1	yes	characteristic, complemented
668	#398	C₂²×C₅	1	1	yes	characteristic, complemented
669	#398	C₂²×C₅	1	1	yes	characteristic, complemented
670	#397	C₂²×C₅	1	1	yes	characteristic
671	#397	C₂²×C₅	1	1	yes	characteristic
672	#397	C₂²×C₅	1	1	yes	characteristic
673	#397	C₂²×C₅	1	1	yes	characteristic
674	#397	C₂²×C₅	1	1	yes	characteristic
675	#397	C₂²×C₅	1	1	yes	characteristic, complemented
676	#397	C₂²×C₅	1	1	yes	characteristic, complemented
677	#396	C₂²×C₅	1	1	yes	characteristic
678	#396	C₂²×C₅	1	1	yes	characteristic
679	#396	C₂²×C₅	1	1	yes	characteristic, complemented
680	#396	C₂²×C₅	1	1	yes	characteristic, complemented
681	#395	C₂²×C₅	1	1	yes	characteristic, complemented
682	#394	C₂²×C₅	1	1	yes	characteristic
683	#394	C₂²×C₅	1	1	yes	characteristic
684	#394	C₂²×C₅	1	1	yes	characteristic
685	#394	C₂²×C₅	1	1	yes	characteristic
686	#394	C₂²×C₅	1	1	yes	characteristic
687	#394	C₂²×C₅	1	1	yes	characteristic
688	#394	C₂²×C₅	1	1	yes	characteristic, complemented
689	#393	C₂²×C₅	1	1	yes	characteristic
690	#392	C₂²×C₅	1	1	yes	characteristic
691	#391	C₂²×C₅	1	1	yes	characteristic, complemented
692	#390	C₂²×C₅	1	1	yes	characteristic
693	#390	C₂²×C₅	1	1	yes	characteristic
694	#390	C₂²×C₅	1	1	yes	characteristic, complemented
695	#389	C₂²×C₅	1	1	yes	characteristic, complemented
696	#389	C₂²×C₅	1	1	yes	characteristic, complemented
697	#389	C₂²×C₅	1	1	yes	characteristic, complemented
698	#389	C₂²×C₅	1	1	yes	characteristic, complemented
699	#388	C₂²×C₅	1	1	yes	characteristic
700	#388	C₂²×C₅	1	1	yes	characteristic
701	#388	C₂²×C₅	1	1	yes	characteristic
702	#388	C₂²×C₅	1	1	yes	characteristic
703	#388	C₂²×C₅	1	1	yes	characteristic
704	#388	C₂²×C₅	1	1	yes	characteristic
705	#388	C₂²×C₅	1	1	yes	characteristic
706	#388	C₂²×C₅	1	1	yes	characteristic
707	#388	C₂²×C₅	1	1	yes	characteristic, complemented
708	#388	C₂²×C₅	1	1	yes	characteristic, complemented
709	#388	C₂²×C₅	1	1	yes	characteristic, complemented
710	#388	C₂²×C₅	1	1	yes	characteristic, complemented
711	#388	C₂²×C₅	1	1	yes	characteristic, complemented
712	#388	C₂²×C₅	1	1	yes	characteristic, complemented
713	#387	C₂²×C₅	1	1	yes	characteristic, complemented
714	#387	C₂²×C₅	1	1	yes	characteristic, complemented
715	#387	C₂²×C₅	1	1	yes	characteristic, complemented
716	#387	C₂²×C₅	1	1	yes	characteristic, complemented
717	#387	C₂²×C₅	1	1	yes	characteristic, complemented
718	#387	C₂²×C₅	1	1	yes	characteristic, complemented
719	#387	C₂²×C₅	1	1	yes	characteristic, complemented
720	#387	C₂²×C₅	1	1	yes	characteristic, complemented
721	#387	C₂²×C₅	1	1	yes	characteristic, complemented
722	#387	C₂²×C₅	1	1	yes	characteristic, complemented
723	#386	C₂²×C₅	1	1	yes	characteristic
724	#386	C₂²×C₅	1	1	yes	characteristic
725	#386	C₂²×C₅	1	1	yes	characteristic
726	#386	C₂²×C₅	1	1	yes	characteristic
727	#386	C₂²×C₅	1	1	yes	characteristic
728	#386	C₂²×C₅	1	1	yes	characteristic
729	#386	C₂²×C₅	1	1	yes	characteristic
730	#386	C₂²×C₅	1	1	yes	characteristic
731	#386	C₂²×C₅	1	1	yes	characteristic
732	#386	C₂²×C₅	1	1	yes	characteristic
733	#386	C₂²×C₅	1	1	yes	characteristic
734	#386	C₂²×C₅	1	1	yes	characteristic
735	#385	C₂²×C₅	1	1	yes	characteristic
736	#385	C₂²×C₅	1	1	yes	characteristic
737	#385	C₂²×C₅	1	1	yes	characteristic
738	#385	C₂²×C₅	1	1	yes	characteristic
739	#385	C₂²×C₅	1	1	yes	characteristic
740	#385	C₂²×C₅	1	1	yes	characteristic
741	#385	C₂²×C₅	1	1	yes	characteristic
742	#385	C₂²×C₅	1	1	yes	characteristic
743	#385	C₂²×C₅	1	1	yes	characteristic
744	#385	C₂²×C₅	1	1	yes	characteristic
745	#385	C₂²×C₅	1	1	yes	characteristic, complemented
746	#385	C₂²×C₅	1	1	yes	characteristic, complemented
747	#380	C₂²×C₅	1	1	yes	characteristic
748	#380	C₂²×C₅	1	1	yes	characteristic
749	#379	C₂²×C₅	1	1	yes	characteristic
750	#379	C₂²×C₅	1	1	yes	characteristic
751	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
752	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
753	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
754	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
755	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
756	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
757	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
758	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
759	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
760	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
761	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
762	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
763	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
764	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
765	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
766	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
767	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
768	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
769	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
770	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
771	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
772	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
773	#376	C₂²×C₅	1	1	yes	characteristic, complemented
774	C₄³	C₂²×C₅	1	1	yes	characteristic, complemented
775	C₂³×C₅	—	2	1	no	—
776	C₂³×C₅	—	2	1	no	—
777	C₂³×C₅	—	2	1	no	—
778	C₂³×C₅	—	2	1	no	—
779	C₂³×C₅	—	2	8	no	—
780	C₂³×C₅	—	2	1	no	—
781	C₂³×C₅	—	2	1	no	—
782	C₂³×C₅	—	2	1	no	—
783	C₂³×C₅	—	2	1	no	—
784	C₂³×C₅	—	2	1	no	—
785	C₂³×C₅	—	2	1	no	—
786	C₂³×C₅	—	2	1	no	—
787	C₂³×C₅	—	2	1	no	—
788	C₂³×C₅	—	2	1	no	—
789	C₂³×C₅	—	2	1	no	—
790	C₂³×C₅	—	2	1	no	—
791	C₂³×C₅	—	2	1	no	—
792	C₂³×C₅	—	2	1	no	—
793	C₂³×C₅	—	2	1	no	—
794	C₂³×C₅	—	2	1	no	—
795	C₂³×C₅	—	2	1	no	—
796	C₂³×C₅	—	2	1	no	—
797	C₂³×C₅	—	2	1	no	—
798	C₂³×C₅	—	2	1	no	—
799	C₂³×C₅	—	2	1	no	—
800	C₂³×C₅	—	2	1	no	—
801	C₂³×C₅	—	2	1	no	—
802	C₂³×C₅	—	2	1	no	—
803	C₂³×C₅	—	2	1	no	—
804	C₂³×C₅	—	2	1	no	—
805	C₂³×C₅	—	4	4	no	—
806	C₂³×C₅	—	4	4	no	—
807	C₂³×C₅	—	4	4	no	—
808	C₂³×C₅	—	4	4	no	—
809	C₂³×C₅	—	4	4	no	—
810	C₂³×C₅	—	4	4	no	—
811	C₂³×C₅	C₂²×D₄	1	2	yes	—
812	C₂³×C₅	C₂×#41	1	2	yes	—
813	C₂³×C₅	C₂×#41	1	2	yes	—
814	C₂³×C₅	C₂×#41	1	2	yes	—
815	C₂³×C₅	C₂×#41	1	2	yes	—
816	C₂³×C₅	C₂×#41	1	2	yes	—
817	C₂³×C₅	C₂⁵	1	1	yes	characteristic
818	C₅×Q₈	—	4	4	no	—
819	C₅×D₄	—	2	8	no	—
820	C₅×D₄	—	4	4	no	—
821	C₅×D₄	—	4	4	no	—
822	C₅×D₄	—	4	4	no	—
823	C₅×D₄	—	4	4	no	—
824	C₅×D₄	—	4	4	no	—
825	C₅×D₄	—	4	4	no	—
826	C₂×C₄×C₅	—	2	8	no	—
827	C₂×C₄×C₅	—	2	8	no	—
828	C₂×C₄×C₅	—	2	8	no	—
829	C₂×C₄×C₅	—	2	1	no	—
830	C₂×C₄×C₅	—	2	1	no	—
831	C₂×C₄×C₅	—	2	1	no	—
832	C₂×C₄×C₅	—	2	1	no	—
833	C₂×C₄×C₅	—	2	1	no	—
834	C₂×C₄×C₅	—	2	1	no	—
835	C₂×C₄×C₅	—	2	1	no	—
836	C₂×C₄×C₅	—	2	1	no	—
837	C₂×C₄×C₅	—	2	1	no	—
838	C₂×C₄×C₅	—	2	1	no	—
839	C₂×C₄×C₅	—	2	1	no	—
840	C₂×C₄×C₅	—	2	1	no	—
841	C₂×C₄×C₅	—	2	1	no	—
842	C₂×C₄×C₅	—	2	1	no	—
843	C₂×C₄×C₅	—	2	1	no	—
844	C₂×C₄×C₅	—	2	1	no	—
845	C₂×C₄×C₅	—	2	1	no	—
846	C₂×C₄×C₅	—	2	1	no	—
847	C₂×C₄×C₅	—	2	1	no	—
848	C₂×C₄×C₅	—	2	1	no	—
849	C₂×C₄×C₅	—	2	8	no	—
850	C₂×C₄×C₅	—	2	8	no	—
851	C₂×C₄×C₅	—	2	8	no	—
852	C₂×C₄×C₅	—	2	1	no	—
853	C₂×C₄×C₅	—	2	1	no	—
854	C₂×C₄×C₅	—	2	1	no	—
855	C₂×C₄×C₅	—	2	1	no	—
856	C₂×C₄×C₅	—	2	1	no	—
857	C₂×C₄×C₅	—	2	1	no	—
858	C₂×C₄×C₅	—	2	1	no	—
859	C₂×C₄×C₅	—	2	1	no	—
860	C₂×C₄×C₅	—	2	1	no	—
861	C₂×C₄×C₅	—	2	1	no	—
862	C₂×C₄×C₅	—	2	1	no	—
863	C₂×C₄×C₅	—	2	1	no	—
864	C₂×C₄×C₅	—	2	1	no	—
865	C₂×C₄×C₅	—	2	1	no	—
866	C₂×C₄×C₅	—	2	1	no	—
867	C₂×C₄×C₅	—	2	1	no	—
868	C₂×C₄×C₅	—	2	1	no	—
869	C₂×C₄×C₅	—	2	1	no	—
870	C₂×C₄×C₅	—	2	1	no	—
871	C₂×C₄×C₅	—	2	1	no	—
872	C₂×C₄×C₅	—	2	1	no	—
873	C₂×C₄×C₅	—	2	1	no	—
874	C₂×C₄×C₅	—	2	1	no	—
875	C₂×C₄×C₅	—	2	1	no	—
876	C₂×C₄×C₅	—	2	1	no	—
877	C₂×C₄×C₅	—	2	1	no	—
878	C₂×C₄×C₅	—	2	1	no	—
879	C₂×C₄×C₅	—	2	1	no	—
880	C₂×C₄×C₅	—	2	1	no	—
881	C₂×C₄×C₅	—	2	1	no	—
882	C₂×C₄×C₅	—	2	1	no	—
883	C₂×C₄×C₅	—	2	1	no	—
884	C₂×C₄×C₅	—	2	1	no	—
885	C₂×C₄×C₅	—	2	1	no	—
886	C₂×C₄×C₅	—	2	1	no	—
887	C₂×C₄×C₅	—	2	1	no	—
888	C₂×C₄×C₅	—	2	1	no	—
889	C₂×C₄×C₅	—	2	1	no	—
890	C₂×C₄×C₅	—	2	1	no	—
891	C₂×C₄×C₅	—	2	1	no	—
892	C₂×C₄×C₅	—	2	1	no	—
893	C₂×C₄×C₅	—	2	1	no	—
894	C₂×C₄×C₅	—	2	1	no	—
895	C₂×C₄×C₅	—	2	1	no	—
896	C₂×C₄×C₅	—	2	1	no	—
897	C₂×C₄×C₅	—	4	4	no	—
898	C₂×C₄×C₅	—	4	4	no	—
899	C₂×C₄×C₅	—	4	4	no	—
900	C₂×C₄×C₅	—	4	4	no	—
901	C₂×C₄×C₅	—	4	4	no	—
902	C₂×C₄×C₅	—	4	4	no	—
903	C₂×C₄×C₅	—	4	4	no	—
904	C₂×C₄×C₅	—	4	4	no	—
905	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
906	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
907	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
908	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
909	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
910	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
911	C₂×C₄×C₅	C₂×#41	1	2	yes	—
912	C₂×C₄×C₅	C₂×#41	1	2	yes	—
913	C₂×C₄×C₅	C₂×#41	1	2	yes	—
914	C₂×C₄×C₅	C₂×#41	1	2	yes	—
915	C₂×C₄×C₅	C₂×#41	1	2	yes	—
916	C₂×C₄×C₅	C₂×#41	1	2	yes	—
917	C₂×C₄×C₅	C₂×#41	1	2	yes	—
918	C₂⁵	C₂³×C₅	1	1	yes	characteristic
919	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
920	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
921	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
922	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
923	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
924	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
925	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
926	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
927	C₂³×C₄	—	2	4	no	—
928	C₂³×C₄	—	2	4	no	—
929	C₂³×C₄	—	2	4	no	—
930	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
931	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
932	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
933	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
934	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
935	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
936	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
937	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
938	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
939	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
940	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
941	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
942	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
943	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
944	#126	—	2	4	no	—
945	#126	—	2	4	no	—
946	#125	—	2	4	no	—
947	#124	—	2	4	no	—
948	#123	—	2	4	no	—
949	#123	—	2	4	no	—
950	C₂²⋊Q₈	—	2	4	no	—
951	C₂²⋊Q₈	—	2	4	no	—
952	#121	—	2	4	no	—
953	#121	—	2	4	no	—
954	#120	—	2	4	no	—
955	#120	—	2	4	no	—
956	C₄×Q₈	—	2	4	no	—
957	C₄×D₄	—	2	4	no	—
958	C₄×D₄	—	2	4	no	—
959	C₄×D₄	—	2	4	no	—
960	C₄×D₄	—	2	4	no	—
961	C₄×D₄	—	2	4	no	—
962	C₄×D₄	—	2	4	no	—
963	C₄×D₄	—	2	4	no	—
964	C₄×D₄	—	2	4	no	—
965	C₄×D₄	—	2	4	no	—
966	#117	—	2	4	no	—
967	#117	—	2	4	no	—
968	#117	—	2	4	no	—
969	#117	—	2	4	no	—
970	#117	—	2	4	no	—
971	#117	—	2	4	no	—
972	#117	—	2	4	no	—
973	#117	—	2	4	no	—
974	#117	C₅×D₄	1	8	yes	complemented
975	C₂×C₄⋊C₄	—	2	4	no	—
976	C₂×C₄⋊C₄	—	2	4	no	—
977	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	—	2	4	no	—
1010	C₂×C₂²⋊C₄	—	2	4	no	—
1011	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1055	C₂×C₄²	—	2	4	no	—
1056	C₂×C₄²	—	2	4	no	—
1057	C₂×C₄²	—	2	4	no	—
1058	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1059	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1060	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1061	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1062	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1063	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1064	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1065	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1066	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1067	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1068	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1069	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1070	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1071	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1072	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1073	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1074	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1075	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1076	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1077	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1078	#95	C₂³×C₅	1	1	yes	characteristic
1079	#95	C₂³×C₅	1	1	yes	characteristic
1080	#95	C₂³×C₅	1	1	yes	characteristic
1081	#95	C₂³×C₅	1	1	yes	characteristic
1082	#95	C₂³×C₅	1	1	yes	characteristic
1083	#95	C₂³×C₅	1	1	yes	characteristic
1084	#95	C₂³×C₅	1	1	yes	characteristic
1085	#95	C₂³×C₅	1	1	yes	characteristic
1086	#95	C₂³×C₅	1	1	yes	characteristic
1087	#95	C₂³×C₅	1	1	yes	characteristic
1088	#95	C₂³×C₅	1	1	yes	characteristic
1089	#95	C₂³×C₅	1	1	yes	characteristic
1090	#95	C₂³×C₅	1	1	yes	characteristic
1091	#95	C₂³×C₅	1	1	yes	characteristic
1092	#95	C₂³×C₅	1	1	yes	characteristic
1093	#95	C₂³×C₅	1	1	yes	characteristic
1094	#95	C₂³×C₅	1	1	yes	characteristic
1095	#95	C₂³×C₅	1	1	yes	characteristic
1096	#95	C₂³×C₅	1	1	yes	characteristic
1097	#95	C₂³×C₅	1	1	yes	characteristic
1098	#95	C₂³×C₅	1	1	yes	characteristic
1099	#95	C₂³×C₅	1	1	yes	characteristic
1100	#95	C₂³×C₅	1	1	yes	characteristic
1101	#95	C₂³×C₅	1	1	yes	characteristic
1102	#95	C₂³×C₅	1	1	yes	characteristic
1103	#95	C₂³×C₅	1	1	yes	characteristic
1104	#95	C₂³×C₅	1	1	yes	characteristic
1105	#95	C₂³×C₅	1	1	yes	characteristic
1106	#95	C₂³×C₅	1	1	yes	characteristic
1107	#95	C₂³×C₅	1	1	yes	characteristic
1108	#95	C₂³×C₅	1	1	yes	characteristic
1109	#95	C₂³×C₅	1	1	yes	characteristic
1110	#95	C₂³×C₅	1	1	yes	characteristic
1111	#95	C₂³×C₅	1	1	yes	characteristic
1112	#95	C₂³×C₅	1	1	yes	characteristic
1113	#95	C₂³×C₅	1	1	yes	characteristic
1114	C₂²×C₅	—	2	2	no	—
1115	C₂²×C₅	—	2	2	no	—
1116	C₂²×C₅	—	2	2	no	—
1117	C₂²×C₅	—	2	2	no	—
1118	C₂²×C₅	—	2	2	no	—
1119	C₂²×C₅	—	2	2	no	—
1120	C₂²×C₅	—	2	2	no	—
1121	C₂²×C₅	—	2	2	no	—
1122	C₂²×C₅	—	2	2	no	—
1123	C₂²×C₅	—	2	2	no	—
1124	C₂²×C₅	—	2	2	no	—
1125	C₂²×C₅	—	2	2	no	—
1126	C₂²×C₅	—	2	2	no	—
1127	C₂²×C₅	—	2	2	no	—
1128	C₂²×C₅	—	2	2	no	—
1129	C₂²×C₅	—	4	16	no	—
1130	C₂²×C₅	—	4	1	no	—
1131	C₂²×C₅	—	4	1	no	—
1132	C₂²×C₅	—	4	1	no	—
1133	C₂²×C₅	—	4	1	no	—
1134	C₂²×C₅	—	4	1	no	—
1135	C₂²×C₅	—	4	1	no	—
1136	C₂²×C₅	—	4	1	no	—
1137	C₂²×C₅	—	4	1	no	—
1138	C₂²×C₅	—	4	1	no	—
1139	C₂²×C₅	—	4	1	no	—
1140	C₂²×C₅	—	4	1	no	—
1141	C₂²×C₅	—	4	1	no	—
1142	C₂²×C₅	—	4	1	no	—
1143	C₂²×C₅	—	4	1	no	—
1144	C₂²×C₅	—	4	1	no	—
1145	C₂²×C₅	—	4	1	no	—
1146	C₂²×C₅	—	4	1	no	—
1147	C₂²×C₅	—	4	1	no	—
1148	C₂²×C₅	—	4	1	no	—
1149	C₂²×C₅	#529	1	4	yes	complemented
1150	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1151	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1152	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1153	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1154	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1155	C₂²×C₅	#585	1	1	yes	characteristic
1156	C₂²×C₅	#585	1	1	yes	characteristic
1157	C₄×C₅	—	2	2	no	—
1158	C₄×C₅	—	2	2	no	—
1159	C₄×C₅	—	2	2	no	—
1160	C₄×C₅	—	2	2	no	—
1161	C₄×C₅	—	2	2	no	—
1162	C₄×C₅	—	2	2	no	—
1163	C₄×C₅	—	2	2	no	—
1164	C₄×C₅	—	2	2	no	—
1165	C₄×C₅	—	2	2	no	—
1166	C₄×C₅	—	2	2	no	—
1167	C₄×C₅	—	4	1	no	—
1168	C₄×C₅	—	4	1	no	—
1169	C₄×C₅	—	4	1	no	—
1170	C₄×C₅	—	4	1	no	—
1171	C₄×C₅	—	4	1	no	—
1172	C₄×C₅	—	4	1	no	—
1173	C₄×C₅	—	4	1	no	—
1174	C₄×C₅	—	4	1	no	—
1175	C₄×C₅	—	4	1	no	—
1176	C₄×C₅	—	4	1	no	—
1177	C₄×C₅	—	4	1	no	—
1178	C₄×C₅	—	4	1	no	—
1179	C₄×C₅	—	4	1	no	—
1180	C₄×C₅	—	4	1	no	—
1181	C₄×C₅	—	4	1	no	—
1182	C₄×C₅	#525	1	4	yes	—
1183	C₂⁴	—	2	2	no	—
1184	C₂⁴	—	2	2	no	—
1185	C₂⁴	—	2	2	no	—
1186	C₂⁴	—	2	2	no	—
1187	C₂⁴	—	2	2	no	—
1188	C₂⁴	—	4	1	no	—
1189	C₂⁴	—	4	1	no	—
1190	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1191	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1192	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1193	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1194	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1195	C₂×Q₈	—	2	2	no	—
1196	C₂×Q₈	—	2	2	no	—
1197	C₂×Q₈	—	4	1	no	—
1198	C₂×D₄	—	2	2	no	—
1199	C₂×D₄	—	2	2	no	—
1200	C₂×D₄	—	2	2	no	—
1201	C₂×D₄	—	2	2	no	—
1202	C₂×D₄	—	2	2	no	—
1203	C₂×D₄	—	2	2	no	—
1204	C₂×D₄	—	2	2	no	—
1205	C₂×D₄	—	2	2	no	—
1206	C₂×D₄	—	2	2	no	—
1207	C₂×D₄	—	2	2	no	—
1208	C₂×D₄	—	2	2	no	—
1209	C₂×D₄	—	2	2	no	—
1210	C₂×D₄	—	2	2	no	—
1211	C₂×D₄	—	2	2	no	—
1212	C₂×D₄	—	2	2	no	—
1213	C₂×D₄	—	4	1	no	—
1214	C₂×D₄	—	4	1	no	—
1215	C₂×D₄	—	4	1	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	C₅×#41	1	4	yes	—
1219	C₂²×C₄	—	2	32	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	2	2	no	—
1223	C₂²×C₄	—	2	2	no	—
1224	C₂²×C₄	—	2	2	no	—
1225	C₂²×C₄	—	2	2	no	—
1226	C₂²×C₄	—	2	2	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	2	2	no	—
1230	C₂²×C₄	—	2	2	no	—
1231	C₂²×C₄	—	2	2	no	—
1232	C₂²×C₄	—	2	2	no	—
1233	C₂²×C₄	—	2	2	no	—
1234	C₂²×C₄	—	2	2	no	—
1235	C₂²×C₄	—	2	2	no	—
1236	C₂²×C₄	—	2	2	no	—
1237	C₂²×C₄	—	2	2	no	—
1238	C₂²×C₄	—	2	2	no	—
1239	C₂²×C₄	—	2	2	no	—
1240	C₂²×C₄	—	2	2	no	—
1241	C₂²×C₄	—	2	2	no	—
1242	C₂²×C₄	—	2	2	no	—
1243	C₂²×C₄	—	2	2	no	—
1244	C₂²×C₄	—	2	2	no	—
1245	C₂²×C₄	—	2	2	no	—
1246	C₂²×C₄	—	2	2	no	—
1247	C₂²×C₄	—	2	2	no	—
1248	C₂²×C₄	—	2	2	no	—
1249	C₂²×C₄	—	2	2	no	—
1250	C₂²×C₄	—	2	2	no	—
1251	C₂²×C₄	—	2	2	no	—
1252	C₂²×C₄	—	2	2	no	—
1253	C₂²×C₄	—	4	1	no	—
1254	C₂²×C₄	—	4	1	no	—
1255	C₂²×C₄	—	4	1	no	—
1256	C₂²×C₄	—	4	1	no	—
1257	C₂²×C₄	—	4	1	no	—
1258	C₂²×C₄	—	4	1	no	—
1259	C₂²×C₄	C₂×C₅×D₄	1	4	yes	—
1260	C₂²×C₄	C₅×#41	1	4	yes	—
1261	C₂²×C₄	C₅×#41	1	4	yes	—
1262	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1276	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1277	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1278	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1279	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1280	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1281	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1282	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1285	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1286	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1287	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1288	C₄⋊C₄	—	2	2	no	—
1289	C₄⋊C₄	—	2	2	no	—
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	2	2	no	—
1292	C₄⋊C₄	—	2	2	no	—
1293	C₄⋊C₄	—	2	2	no	—
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	2	2	no	—
1296	C₄⋊C₄	—	2	2	no	—
1297	C₄⋊C₄	—	2	2	no	—
1298	C₄⋊C₄	—	2	2	no	—
1299	C₄⋊C₄	—	2	2	no	—
1300	C₄⋊C₄	—	2	2	no	—
1301	C₄⋊C₄	—	2	2	no	—
1302	C₄⋊C₄	—	2	2	no	—
1303	C₄⋊C₄	—	2	2	no	—
1304	C₄⋊C₄	—	2	2	no	—
1305	C₄⋊C₄	—	2	2	no	—
1306	C₄⋊C₄	—	2	2	no	—
1307	C₄⋊C₄	—	2	2	no	—
1308	C₄⋊C₄	—	2	2	no	—
1309	C₄⋊C₄	—	2	2	no	—
1310	C₄⋊C₄	—	2	2	no	—
1311	C₄⋊C₄	—	2	2	no	—
1312	C₄⋊C₄	—	4	1	no	—
1313	C₄⋊C₄	—	4	1	no	—
1314	C₄⋊C₄	—	4	1	no	—
1315	C₄⋊C₄	—	4	1	no	—
1316	C₄⋊C₄	—	4	1	no	—
1317	C₄⋊C₄	—	4	1	no	—
1318	C₄⋊C₄	C₂×C₅×D₄	1	4	yes	—
1319	C₄⋊C₄	C₂×C₅×D₄	1	4	yes	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	2	2	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	2	2	no	—
1339	C₂²⋊C₄	—	2	2	no	—
1340	C₂²⋊C₄	—	2	2	no	—
1341	C₂²⋊C₄	—	2	2	no	—
1342	C₂²⋊C₄	—	2	2	no	—
1343	C₂²⋊C₄	—	2	2	no	—
1344	C₂²⋊C₄	—	2	2	no	—
1345	C₂²⋊C₄	—	2	2	no	—
1346	C₂²⋊C₄	—	2	2	no	—
1347	C₂²⋊C₄	—	2	2	no	—
1348	C₂²⋊C₄	—	2	2	no	—
1349	C₂²⋊C₄	—	2	2	no	—
1350	C₂²⋊C₄	—	2	2	no	—
1351	C₂²⋊C₄	—	2	2	no	—
1352	C₂²⋊C₄	—	2	2	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	C₂×C₅×D₄	1	4	yes	—
1362	C₂²⋊C₄	C₂×C₅×D₄	1	4	yes	—
1363	C₂²⋊C₄	C₅×#41	1	4	yes	—
1364	C₄²	—	2	2	no	—
1365	C₄²	—	2	2	no	—
1366	C₄²	—	2	2	no	—
1367	C₄²	—	2	2	no	—
1368	C₄²	—	2	2	no	—
1369	C₄²	—	2	2	no	—
1370	C₄²	—	2	2	no	—
1371	C₄²	—	2	2	no	—
1372	C₄²	—	2	2	no	—
1373	C₄²	—	2	2	no	—
1374	C₄²	—	2	2	no	—
1375	C₄²	—	2	2	no	—
1376	C₄²	—	2	2	no	—
1377	C₄²	—	2	2	no	—
1378	C₄²	—	2	2	no	—
1379	C₄²	—	2	2	no	—
1380	C₄²	—	4	1	no	—
1381	C₄²	—	4	1	no	—
1382	C₄²	C₂×C₅×D₄	1	4	yes	—
1383	C₄²	C₂×C₅×D₄	1	4	yes	—
1384	C₂×C₅	—	2	4	no	—
1385	C₂×C₅	—	4	2	no	—
1386	C₂×C₅	—	4	2	no	—
1387	C₂×C₅	—	4	2	no	—
1388	C₂×C₅	—	8	1	no	—
1389	C₂×C₅	C₂×#525	1	1	yes	characteristic
1390	C₂×C₅	C₂×#529	1	1	yes	characteristic
1391	C₂×C₅	#3455	1	1	yes	characteristic
1392	C₂×C₅	D₄×#41	1	1	yes	characteristic
1393	C₂×C₅	D₄×#41	1	1	yes	characteristic
1394	C₂×C₅	#3475	1	1	yes	characteristic
1395	C₂×C₅	#3475	1	1	yes	characteristic
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	8	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	4	4	no	—
1427	C₂³	—	4	4	no	—
1428	C₂³	—	4	4	no	—
1429	C₂³	—	4	4	no	—
1430	C₂³	—	4	4	no	—
1431	C₂³	—	4	4	no	—
1432	C₂³	C₂²×C₅×D₄	1	2	yes	—
1433	C₂³	C₂×C₅×#41	1	2	yes	—
1434	C₂³	C₂×C₅×#41	1	2	yes	—
1435	C₂³	C₂×C₅×#41	1	2	yes	—
1436	C₂³	C₂×C₅×#41	1	2	yes	—
1437	C₂³	C₂×C₅×#41	1	2	yes	—
1438	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1439	Q₈	—	4	4	no	—
1440	D₄	—	2	8	no	—
1441	D₄	—	4	4	no	—
1442	D₄	—	4	4	no	—
1443	D₄	—	4	4	no	—
1444	D₄	—	4	4	no	—
1445	D₄	—	4	4	no	—
1446	D₄	—	4	4	no	—
1447	C₂×C₄	—	2	8	no	—
1448	C₂×C₄	—	2	8	no	—
1449	C₂×C₄	—	2	8	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	8	no	—
1471	C₂×C₄	—	2	8	no	—
1472	C₂×C₄	—	2	8	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	4	4	no	—
1519	C₂×C₄	—	4	4	no	—
1520	C₂×C₄	—	4	4	no	—
1521	C₂×C₄	—	4	4	no	—
1522	C₂×C₄	—	4	4	no	—
1523	C₂×C₄	—	4	4	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	4	no	—
1526	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1527	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1528	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1529	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1530	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1531	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1532	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1533	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1534	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1535	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1536	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1537	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1538	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1539	C₅	#34740	1	1	yes	characteristic, direct product factor, Sylow
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	2	2	no	—
1545	C₂²	—	2	2	no	—
1546	C₂²	—	2	2	no	—
1547	C₂²	—	2	2	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	2	2	no	—
1551	C₂²	—	2	2	no	—
1552	C₂²	—	2	2	no	—
1553	C₂²	—	2	2	no	—
1554	C₂²	—	2	2	no	—
1555	C₂²	—	4	16	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	C₅×#529	1	4	yes	complemented
1576	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1577	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1578	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1579	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1580	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1581	C₂²	C₅×#585	1	1	yes	characteristic
1582	C₂²	C₅×#585	1	1	yes	characteristic
1583	C₄	—	2	2	no	—
1584	C₄	—	2	2	no	—
1585	C₄	—	2	2	no	—
1586	C₄	—	2	2	no	—
1587	C₄	—	2	2	no	—
1588	C₄	—	2	2	no	—
1589	C₄	—	2	2	no	—
1590	C₄	—	2	2	no	—
1591	C₄	—	2	2	no	—
1592	C₄	—	2	2	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	C₅×#525	1	4	yes	—
1609	C₂	—	2	4	no	—
1610	C₂	—	4	2	no	—
1611	C₂	—	4	2	no	—
1612	C₂	—	4	2	no	—
1613	C₂	—	8	1	no	—
1614	C₂	C₂×C₅×#525	1	1	yes	characteristic
1615	C₂	C₂×C₅×#529	1	1	yes	characteristic
1616	C₂	C₅×#3455	1	1	yes	characteristic
1617	C₂	C₅×D₄×#41	1	1	yes	characteristic
1618	C₂	C₅×D₄×#41	1	1	yes	characteristic
1619	C₂	C₅×#3475	1	1	yes	characteristic
1620	C₂	C₅×#3475	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₅	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅
socle	C₂³×C₅	C₂⁵
prime radical	C₅×#2424	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#529	C₂	semidirect
2. C₂²×C₅×#117	C₂	semidirect
3. C₅×#2481	C₂	semidirect
4. C₅×#2480	C₂	semidirect
5. C₅×#2479	C₂	semidirect
6. C₅×#2478	C₂	semidirect
7. C₅×#2477	C₂	semidirect
8. C₅×#2476	C₂	semidirect
9. C₅×#2475	C₂	semidirect
10. C₅×#2474	C₂	semidirect
11. C₅×#2473	C₂	semidirect
12. C₅×#2472	C₂	semidirect
13. C₅×#2471	C₂	semidirect
14. C₅×#2470	C₂	semidirect
15. C₅×#2449	C₂	semidirect
16. C₅×#2443	C₂	semidirect
18. C₅×#2418	C₂	semidirect
19. C₅×#2396	C₂	semidirect
20. C₅×#2395	C₂	semidirect
21. C₅×#2395	C₂	semidirect
22. C₅×#2392	C₂	semidirect
23. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₅×#121	C₂	semidirect
25. C₄×C₅×#120	C₂	semidirect
26. C₄×C₅×#120	C₂	semidirect
27. C₅×#2298	C₂	semidirect
28. C₅×#2293	C₂	semidirect
29. C₅×#2290	C₂	semidirect
30. C₅×#2290	C₂	semidirect
31. C₄²×C₅×D₄	C₂	semidirect
35. C₂×C₅×#126	C₂²	semidirect
36. C₂×C₅×#125	C₂²	semidirect
39. C₂×C₅×#123	C₂²	semidirect
41. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
46. C₂×C₄×C₅×Q₈	C₂²	semidirect
55. C₂×C₄×C₅×D₄	C₂²	semidirect
65. C₂×C₅×#117	C₂²	semidirect
72. C₂²×C₄²×C₅	C₂²	semidirect
73. C₅×#400	C₂²	semidirect
74. C₅×#400	C₂²	semidirect
75. C₅×#400	C₂²	semidirect
77. C₅×#399	C₂²	semidirect
78. C₅×#399	C₂²	semidirect
79. C₅×#398	C₂²	semidirect
80. C₅×#398	C₂²	semidirect
81. C₅×#398	C₂²	semidirect
82. C₅×#398	C₂²	semidirect
83. C₅×#398	C₂²	semidirect
89. C₅×#397	C₂²	semidirect
90. C₅×#397	C₂²	semidirect
93. C₅×#396	C₂²	semidirect
94. C₅×#396	C₂²	semidirect
95. C₅×#395	C₂²	semidirect
102. C₅×#394	C₂²	semidirect
105. C₅×#391	C₂²	semidirect
108. C₅×#390	C₂²	semidirect
109. C₅×#389	C₂²	semidirect
110. C₅×#389	C₂²	semidirect
111. C₅×#389	C₂²	semidirect
112. C₅×#389	C₂²	semidirect
121. C₅×#388	C₂²	semidirect
122. C₅×#388	C₂²	semidirect
123. C₅×#388	C₂²	semidirect
124. C₅×#388	C₂²	semidirect
125. C₅×#388	C₂²	semidirect
126. C₅×#388	C₂²	semidirect
127. C₅×#387	C₂²	semidirect
128. C₅×#387	C₂²	semidirect
129. C₅×#387	C₂²	semidirect
130. C₅×#387	C₂²	semidirect
131. C₅×#387	C₂²	semidirect
132. C₅×#387	C₂²	semidirect
133. C₅×#387	C₂²	semidirect
134. C₅×#387	C₂²	semidirect
135. C₅×#387	C₂²	semidirect
136. C₅×#387	C₂²	semidirect
159. C₅×#385	C₂²	semidirect
160. C₅×#385	C₂²	semidirect
165. C₄×C₅×C₄⋊C₄	C₂²	semidirect
166. C₄×C₅×C₄⋊C₄	C₂²	semidirect
167. C₄×C₅×C₄⋊C₄	C₂²	semidirect
168. C₄×C₅×C₄⋊C₄	C₂²	semidirect
169. C₄×C₅×C₄⋊C₄	C₂²	semidirect
170. C₄×C₅×C₄⋊C₄	C₂²	semidirect
171. C₄×C₅×C₄⋊C₄	C₂²	semidirect
172. C₄×C₅×C₄⋊C₄	C₂²	semidirect
181. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
182. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
184. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
185. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
186. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
187. C₅×#376	C₂²	semidirect
188. C₄³×C₅	C₂²	semidirect
189. #34740	C₅	direct (N × H)
246. C₅×#117	D₄	semidirect
386. C₂×#529	C₂×C₅	semidirect
387. C₂²×#117	C₂×C₅	semidirect
388. #2481	C₂×C₅	semidirect
389. #2480	C₂×C₅	semidirect
390. #2479	C₂×C₅	semidirect
391. #2478	C₂×C₅	semidirect
392. #2477	C₂×C₅	semidirect
393. #2476	C₂×C₅	semidirect
394. #2475	C₂×C₅	semidirect
395. #2474	C₂×C₅	semidirect
396. #2473	C₂×C₅	semidirect
397. #2472	C₂×C₅	semidirect
398. #2471	C₂×C₅	semidirect
399. #2470	C₂×C₅	semidirect
400. #2449	C₂×C₅	semidirect
401. #2443	C₂×C₅	semidirect
403. #2418	C₂×C₅	semidirect
404. #2396	C₂×C₅	semidirect
405. #2395	C₂×C₅	semidirect
406. #2395	C₂×C₅	semidirect
407. #2392	C₂×C₅	semidirect
408. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
409. C₄×#121	C₂×C₅	semidirect
410. C₄×#120	C₂×C₅	semidirect
411. C₄×#120	C₂×C₅	semidirect
412. #2298	C₂×C₅	semidirect
413. #2293	C₂×C₅	semidirect
414. #2290	C₂×C₅	semidirect
415. #2290	C₂×C₅	semidirect
416. C₄²×D₄	C₂×C₅	semidirect
621. C₂×#126	C₂²×C₅	semidirect
622. C₂×#125	C₂²×C₅	semidirect
625. C₂×#123	C₂²×C₅	semidirect
627. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
632. C₂×C₄×Q₈	C₂²×C₅	semidirect
641. C₂×C₄×D₄	C₂²×C₅	semidirect
651. C₂×#117	C₂²×C₅	semidirect
658. C₂²×C₄²	C₂²×C₅	semidirect
659. #400	C₂²×C₅	semidirect
660. #400	C₂²×C₅	semidirect
661. #400	C₂²×C₅	semidirect
663. #399	C₂²×C₅	semidirect
664. #399	C₂²×C₅	semidirect
665. #398	C₂²×C₅	semidirect
666. #398	C₂²×C₅	semidirect
667. #398	C₂²×C₅	semidirect
668. #398	C₂²×C₅	semidirect
669. #398	C₂²×C₅	semidirect
675. #397	C₂²×C₅	semidirect
676. #397	C₂²×C₅	semidirect
679. #396	C₂²×C₅	semidirect
680. #396	C₂²×C₅	semidirect
681. #395	C₂²×C₅	semidirect
688. #394	C₂²×C₅	semidirect
691. #391	C₂²×C₅	semidirect
694. #390	C₂²×C₅	semidirect
695. #389	C₂²×C₅	semidirect
696. #389	C₂²×C₅	semidirect
697. #389	C₂²×C₅	semidirect
698. #389	C₂²×C₅	semidirect
707. #388	C₂²×C₅	semidirect
708. #388	C₂²×C₅	semidirect
709. #388	C₂²×C₅	semidirect
710. #388	C₂²×C₅	semidirect
711. #388	C₂²×C₅	semidirect
712. #388	C₂²×C₅	semidirect
713. #387	C₂²×C₅	semidirect
714. #387	C₂²×C₅	semidirect
715. #387	C₂²×C₅	semidirect
716. #387	C₂²×C₅	semidirect
717. #387	C₂²×C₅	semidirect
718. #387	C₂²×C₅	semidirect
719. #387	C₂²×C₅	semidirect
720. #387	C₂²×C₅	semidirect
721. #387	C₂²×C₅	semidirect
722. #387	C₂²×C₅	semidirect
745. #385	C₂²×C₅	semidirect
746. #385	C₂²×C₅	semidirect
751. C₄×C₄⋊C₄	C₂²×C₅	semidirect
752. C₄×C₄⋊C₄	C₂²×C₅	semidirect
753. C₄×C₄⋊C₄	C₂²×C₅	semidirect
754. C₄×C₄⋊C₄	C₂²×C₅	semidirect
755. C₄×C₄⋊C₄	C₂²×C₅	semidirect
756. C₄×C₄⋊C₄	C₂²×C₅	semidirect
757. C₄×C₄⋊C₄	C₂²×C₅	semidirect
758. C₄×C₄⋊C₄	C₂²×C₅	semidirect
767. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
768. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
769. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
770. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
771. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
772. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
773. #376	C₂²×C₅	semidirect
774. C₄³	C₂²×C₅	semidirect
974. #117	C₅×D₄	semidirect
1149. C₂²×C₅	#529	semidirect
1539. C₅	#34740	direct (N × H)
1575. C₂²	C₅×#529	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×#529	2
C₂²×C₅×#117	2
C₅×#2481	2
C₅×#2480	2
C₅×#2479	2
C₅×#2478	2
C₅×#2477	2
C₅×#2476	2
C₅×#2475	2
C₅×#2474	2
C₅×#2473	2
C₅×#2472	2
C₅×#2471	2
C₅×#2470	2
C₅×#2449	2
C₅×#2443	2
C₅×#2424	2
C₅×#2418	2
C₅×#2396	2
C₅×#2395	2
C₅×#2392	2
C₄×C₅×C₂²⋊Q₈	2
C₄×C₅×#121	2
C₄×C₅×#120	2
C₅×#2298	2
C₅×#2293	2
C₅×#2290	2
C₄²×C₅×D₄	2
#34740	5

Subgroups — C5×#34740 #11957460

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34740 #11957460