Subgroups — C₅×#35353 #11958073

Order 1280.

2802 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2609	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2600	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2599	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2598	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2580	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2579	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2476	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2470	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2465	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2458	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2456	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2455	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2449	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2449	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2443	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2443	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2438	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2430	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2424	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2418	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2411	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#2407	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅×#2406	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅×#2404	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅×#2325	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅×#2322	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅×#2318	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₅×#120	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅×#385	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic
35	C₅×#525	—	2	8	no	—
36	C₂×C₅×#123	C₂²	1	1	yes	characteristic
37	C₂×C₅×#123	C₂²	1	1	yes	characteristic
38	C₂×C₅×#123	C₂²	1	1	yes	characteristic
39	C₂×C₅×#123	C₂²	1	1	yes	characteristic
40	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₅×#121	C₂²	1	1	yes	characteristic
45	C₂×C₅×#121	C₂²	1	1	yes	characteristic
46	C₂×C₅×#121	C₂²	1	1	yes	characteristic
47	C₂×C₅×#121	C₂²	1	1	yes	characteristic
48	C₂×C₅×#120	C₂²	1	1	yes	characteristic
49	C₂×C₅×#120	C₂²	1	1	yes	characteristic
50	C₂×C₅×#120	C₂²	1	1	yes	characteristic
51	C₅×#520	—	2	8	no	—
52	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
57	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
58	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
61	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
62	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
63	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₅×#117	C₂²	1	1	yes	characteristic
66	C₂×C₅×#117	C₂²	1	1	yes	characteristic
67	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
70	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
71	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
74	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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×#397	C₂²	1	1	yes	characteristic
84	C₅×#397	C₂²	1	1	yes	characteristic, complemented
85	C₅×#396	C₂²	1	1	yes	characteristic
86	C₅×#396	C₂²	1	1	yes	characteristic
87	C₅×#396	C₂²	1	1	yes	characteristic
88	C₅×#396	C₂²	1	1	yes	characteristic, complemented
89	C₅×#395	C₂²	1	1	yes	characteristic, complemented
90	C₅×#395	C₂²	1	1	yes	characteristic, complemented
91	C₅×#395	C₂²	1	1	yes	characteristic, complemented
92	C₅×#394	C₂²	1	1	yes	characteristic
93	C₅×#394	C₂²	1	1	yes	characteristic
94	C₅×#394	C₂²	1	1	yes	characteristic
95	C₅×#394	C₂²	1	1	yes	characteristic
96	C₅×#394	C₂²	1	1	yes	characteristic
97	C₅×#394	C₂²	1	1	yes	characteristic
98	C₅×#394	C₂²	1	1	yes	characteristic, complemented
99	C₅×#394	C₂²	1	1	yes	characteristic, complemented
100	C₅×#393	C₂²	1	1	yes	characteristic
101	C₅×#393	C₂²	1	1	yes	characteristic
102	C₅×#393	C₂²	1	1	yes	characteristic, complemented
103	C₅×#392	C₂²	1	1	yes	characteristic
104	C₅×#392	C₂²	1	1	yes	characteristic
105	C₅×#392	C₂²	1	1	yes	characteristic
106	C₅×#392	C₂²	1	1	yes	characteristic, complemented
107	C₅×#391	C₂²	1	1	yes	characteristic, complemented
108	C₅×#390	C₂²	1	1	yes	characteristic
109	C₅×#390	C₂²	1	1	yes	characteristic
110	C₅×#390	C₂²	1	1	yes	characteristic
111	C₅×#389	C₂²	1	1	yes	characteristic, complemented
112	C₅×#389	C₂²	1	1	yes	characteristic, complemented
113	C₅×#389	C₂²	1	1	yes	characteristic, complemented
114	C₅×#389	C₂²	1	1	yes	characteristic, complemented
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, complemented
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×#386	C₂²	1	1	yes	characteristic
150	C₅×#386	C₂²	1	1	yes	characteristic
151	C₅×#386	C₂²	1	1	yes	characteristic, complemented
152	C₅×#386	C₂²	1	1	yes	characteristic, complemented
153	C₅×#386	C₂²	1	1	yes	characteristic, complemented
154	C₅×#386	C₂²	1	1	yes	characteristic, complemented
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
160	C₅×#385	C₂²	1	1	yes	characteristic
161	C₅×#385	C₂²	1	1	yes	characteristic
162	C₅×#385	C₂²	1	1	yes	characteristic
163	C₅×#385	C₂²	1	1	yes	characteristic
164	C₅×#385	C₂²	1	1	yes	characteristic
165	C₅×#385	C₂²	1	1	yes	characteristic
166	C₅×#385	C₂²	1	1	yes	characteristic
167	C₅×#385	C₂²	1	1	yes	characteristic
168	C₅×#385	C₂²	1	1	yes	characteristic
169	C₅×#385	C₂²	1	1	yes	characteristic, complemented
170	C₅×#385	C₂²	1	1	yes	characteristic, complemented
171	C₅×#385	C₂²	1	1	yes	characteristic, complemented
172	C₅×#385	C₂²	1	1	yes	characteristic, complemented
173	C₅×#385	C₂²	1	1	yes	characteristic, complemented
174	C₅×#385	C₂²	1	1	yes	characteristic, complemented
175	C₅×#385	C₂²	1	1	yes	characteristic, complemented
176	C₅×#385	C₂²	1	1	yes	characteristic, complemented
177	C₅×#383	C₂²	1	1	yes	characteristic, complemented
178	C₅×#382	C₂²	1	1	yes	characteristic, complemented
179	C₅×#381	C₂²	1	1	yes	characteristic
180	C₅×#381	C₂²	1	1	yes	characteristic, complemented
181	C₅×#380	C₂²	1	1	yes	characteristic
182	C₅×#380	C₂²	1	1	yes	characteristic, complemented
183	C₅×#379	C₂²	1	1	yes	characteristic
184	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
187	C₂×C₅×#95	C₂²	1	1	yes	characteristic
188	C₂×C₅×#95	C₂²	1	1	yes	characteristic
189	#35353	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
190	C₂⁵×C₅	C₂³	1	1	yes	characteristic
191	C₂×C₅×#41	—	2	4	no	—
192	C₂×C₅×#41	—	2	4	no	—
193	C₂×C₅×#41	—	2	4	no	—
194	C₂×C₅×#41	—	2	4	no	—
195	C₂×C₅×#41	—	4	2	no	—
196	C₂×C₅×#41	—	4	2	no	—
197	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
198	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
199	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
200	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
201	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
202	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
203	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
204	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
209	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
210	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₅	—	2	4	no	—
212	C₂³×C₄×C₅	—	4	2	no	—
213	C₂³×C₄×C₅	—	4	2	no	—
214	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
231	C₅×#123	—	2	4	no	—
232	C₅×#123	—	2	4	no	—
233	C₅×#123	—	2	4	no	—
234	C₅×#123	—	4	2	no	—
235	C₅×#123	—	4	2	no	—
236	C₅×C₂²⋊Q₈	—	2	4	no	—
237	C₅×C₂²⋊Q₈	—	2	4	no	—
238	C₅×C₂²⋊Q₈	—	4	2	no	—
239	C₅×#121	—	2	4	no	—
240	C₅×#121	—	2	4	no	—
241	C₅×#121	—	2	4	no	—
242	C₅×#121	—	4	2	no	—
243	C₅×#120	—	2	4	no	—
244	C₅×#120	—	2	4	no	—
245	C₅×#120	—	2	4	no	—
246	C₄×C₅×Q₈	—	2	4	no	—
247	C₄×C₅×Q₈	—	2	4	no	—
248	C₄×C₅×D₄	—	2	4	no	—
249	C₄×C₅×D₄	—	2	4	no	—
250	C₄×C₅×D₄	—	2	4	no	—
251	C₄×C₅×D₄	—	2	4	no	—
252	C₄×C₅×D₄	—	2	4	no	—
253	C₄×C₅×D₄	—	2	4	no	—
254	C₄×C₅×D₄	—	2	4	no	—
255	C₄×C₅×D₄	—	2	4	no	—
256	C₄×C₅×D₄	—	4	2	no	—
257	C₄×C₅×D₄	—	4	2	no	—
258	C₄×C₅×D₄	D₄	1	8	yes	complemented
259	C₅×#117	—	2	4	no	—
260	C₅×#117	—	2	4	no	—
261	C₅×#117	—	2	4	no	—
262	C₅×#117	—	2	4	no	—
263	C₂×C₅×C₄⋊C₄	—	2	4	no	—
264	C₂×C₅×C₄⋊C₄	—	2	4	no	—
265	C₂×C₅×C₄⋊C₄	—	2	4	no	—
266	C₂×C₅×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
300	C₂×C₅×C₂²⋊C₄	—	4	2	no	—
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×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₅×C₂²⋊C₄	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	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₅	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	C₅×#95	C₂³	1	1	yes	characteristic
387	C₅×#95	C₂³	1	1	yes	characteristic
388	C₅×#95	C₂³	1	1	yes	characteristic
389	C₅×#95	C₂³	1	1	yes	characteristic
390	C₅×#95	C₂³	1	1	yes	characteristic
391	C₅×#95	C₂³	1	1	yes	characteristic
392	C₂×#525	C₂×C₅	1	1	yes	characteristic, complemented
393	C₂×#520	C₂×C₅	1	1	yes	characteristic, complemented
394	#2609	C₂×C₅	1	1	yes	characteristic, complemented
395	#2600	C₂×C₅	1	1	yes	characteristic, complemented
396	#2599	C₂×C₅	1	1	yes	characteristic, complemented
397	#2598	C₂×C₅	1	1	yes	characteristic, complemented
398	#2580	C₂×C₅	1	1	yes	characteristic, complemented
399	#2579	C₂×C₅	1	1	yes	characteristic, complemented
400	#2476	C₂×C₅	1	1	yes	characteristic, complemented
401	#2470	C₂×C₅	1	1	yes	characteristic, complemented
402	#2465	C₂×C₅	1	1	yes	characteristic, complemented
403	#2458	C₂×C₅	1	1	yes	characteristic, complemented
404	#2456	C₂×C₅	1	1	yes	characteristic, complemented
405	#2455	C₂×C₅	1	1	yes	characteristic, complemented
406	#2449	C₂×C₅	1	1	yes	characteristic, complemented
407	#2449	C₂×C₅	1	1	yes	characteristic, complemented
408	#2443	C₂×C₅	1	1	yes	characteristic, complemented
409	#2443	C₂×C₅	1	1	yes	characteristic, complemented
410	#2438	C₂×C₅	1	1	yes	characteristic, complemented
411	#2430	C₂×C₅	1	1	yes	characteristic, complemented
412	#2424	C₂×C₅	1	1	yes	characteristic, complemented
413	#2418	C₂×C₅	1	1	yes	characteristic, complemented
414	#2411	C₂×C₅	1	1	yes	characteristic, complemented
415	#2407	C₂×C₅	1	1	yes	characteristic, complemented
416	#2406	C₂×C₅	1	1	yes	characteristic, complemented
417	#2404	C₂×C₅	1	1	yes	characteristic, complemented
418	#2325	C₂×C₅	1	1	yes	characteristic, complemented
419	#2322	C₂×C₅	1	1	yes	characteristic, complemented
420	#2318	C₂×C₅	1	1	yes	characteristic, complemented
421	C₄×#120	C₂×C₅	1	1	yes	characteristic, complemented
422	C₂×#385	C₂×C₅	1	1	yes	characteristic, complemented
423	C₂⁴×C₅	—	2	2	no	—
424	C₂⁴×C₅	—	2	2	no	—
425	C₂⁴×C₅	—	2	2	no	—
426	C₂⁴×C₅	—	2	2	no	—
427	C₂⁴×C₅	—	2	2	no	—
428	C₂⁴×C₅	—	4	1	no	—
429	C₂⁴×C₅	—	4	1	no	—
430	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
431	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
432	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
433	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
434	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
435	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
436	C₅×#41	—	2	32	no	—
437	C₅×#41	—	4	16	no	—
438	C₂×C₅×Q₈	—	2	2	no	—
439	C₂×C₅×Q₈	—	2	2	no	—
440	C₂×C₅×Q₈	—	2	2	no	—
441	C₂×C₅×Q₈	—	2	2	no	—
442	C₂×C₅×Q₈	—	2	2	no	—
443	C₂×C₅×Q₈	—	4	1	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	—	2	2	no	—
448	C₂×C₅×D₄	—	2	2	no	—
449	C₂×C₅×D₄	—	2	2	no	—
450	C₂×C₅×D₄	—	2	2	no	—
451	C₂×C₅×D₄	—	2	2	no	—
452	C₂×C₅×D₄	—	2	2	no	—
453	C₂×C₅×D₄	—	2	2	no	—
454	C₂×C₅×D₄	—	2	2	no	—
455	C₂×C₅×D₄	—	2	2	no	—
456	C₂×C₅×D₄	—	2	2	no	—
457	C₂×C₅×D₄	—	2	2	no	—
458	C₂×C₅×D₄	—	2	2	no	—
459	C₂×C₅×D₄	—	2	2	no	—
460	C₂×C₅×D₄	—	2	2	no	—
461	C₂×C₅×D₄	—	2	2	no	—
462	C₂×C₅×D₄	—	2	2	no	—
463	C₂×C₅×D₄	—	2	2	no	—
464	C₂×C₅×D₄	—	2	2	no	—
465	C₂×C₅×D₄	—	2	2	no	—
466	C₂×C₅×D₄	—	2	2	no	—
467	C₂×C₅×D₄	—	2	2	no	—
468	C₂×C₅×D₄	—	2	2	no	—
469	C₂×C₅×D₄	—	4	1	no	—
470	C₂×C₅×D₄	—	4	1	no	—
471	C₂×C₅×D₄	—	4	1	no	—
472	C₂×C₅×D₄	—	4	1	no	—
473	C₂×C₅×D₄	—	4	1	no	—
474	C₂×C₅×D₄	—	4	1	no	—
475	C₂×C₅×D₄	—	4	1	no	—
476	C₂×C₅×D₄	—	4	1	no	—
477	C₂×C₅×D₄	—	4	1	no	—
478	C₂×C₅×D₄	C₂×D₄	1	4	yes	—
479	C₂×C₅×D₄	#41	1	4	yes	complemented
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	—	2	2	no	—
488	C₂²×C₄×C₅	—	2	2	no	—
489	C₂²×C₄×C₅	—	2	2	no	—
490	C₂²×C₄×C₅	—	2	2	no	—
491	C₂²×C₄×C₅	—	2	2	no	—
492	C₂²×C₄×C₅	—	2	2	no	—
493	C₂²×C₄×C₅	—	2	2	no	—
494	C₂²×C₄×C₅	—	2	2	no	—
495	C₂²×C₄×C₅	—	2	2	no	—
496	C₂²×C₄×C₅	—	2	2	no	—
497	C₂²×C₄×C₅	—	2	2	no	—
498	C₂²×C₄×C₅	—	2	2	no	—
499	C₂²×C₄×C₅	—	2	2	no	—
500	C₂²×C₄×C₅	—	2	2	no	—
501	C₂²×C₄×C₅	—	2	2	no	—
502	C₂²×C₄×C₅	—	2	2	no	—
503	C₂²×C₄×C₅	—	2	2	no	—
504	C₂²×C₄×C₅	—	2	2	no	—
505	C₂²×C₄×C₅	—	4	1	no	—
506	C₂²×C₄×C₅	—	4	1	no	—
507	C₂²×C₄×C₅	—	4	1	no	—
508	C₂²×C₄×C₅	—	4	1	no	—
509	C₂²×C₄×C₅	—	4	1	no	—
510	C₂²×C₄×C₅	—	4	1	no	—
511	C₂²×C₄×C₅	—	4	1	no	—
512	C₂²×C₄×C₅	—	4	1	no	—
513	C₂²×C₄×C₅	—	4	1	no	—
514	C₂²×C₄×C₅	—	4	1	no	—
515	C₂²×C₄×C₅	—	4	1	no	—
516	C₂²×C₄×C₅	—	4	1	no	—
517	C₂²×C₄×C₅	—	4	1	no	—
518	C₂²×C₄×C₅	—	4	1	no	—
519	C₂²×C₄×C₅	—	4	1	no	—
520	C₂²×C₄×C₅	—	4	1	no	—
521	C₂²×C₄×C₅	—	4	1	no	—
522	C₂²×C₄×C₅	—	4	1	no	—
523	C₂²×C₄×C₅	—	4	1	no	—
524	C₂²×C₄×C₅	—	4	1	no	—
525	C₂²×C₄×C₅	—	4	1	no	—
526	C₂²×C₄×C₅	—	4	1	no	—
527	C₂²×C₄×C₅	—	4	1	no	—
528	C₂²×C₄×C₅	—	4	16	no	—
529	C₂²×C₄×C₅	C₂×D₄	1	4	yes	—
530	C₂²×C₄×C₅	C₂×D₄	1	4	yes	—
531	C₂²×C₄×C₅	#41	1	4	yes	complemented
532	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
557	C₅×C₄⋊C₄	—	2	2	no	—
558	C₅×C₄⋊C₄	—	2	2	no	—
559	C₅×C₄⋊C₄	—	2	2	no	—
560	C₅×C₄⋊C₄	—	2	2	no	—
561	C₅×C₄⋊C₄	—	2	2	no	—
562	C₅×C₄⋊C₄	—	2	2	no	—
563	C₅×C₄⋊C₄	—	2	2	no	—
564	C₅×C₄⋊C₄	—	2	2	no	—
565	C₅×C₄⋊C₄	—	2	2	no	—
566	C₅×C₄⋊C₄	—	2	2	no	—
567	C₅×C₄⋊C₄	—	2	2	no	—
568	C₅×C₄⋊C₄	—	2	2	no	—
569	C₅×C₄⋊C₄	—	2	2	no	—
570	C₅×C₄⋊C₄	—	2	2	no	—
571	C₅×C₄⋊C₄	—	2	2	no	—
572	C₅×C₄⋊C₄	—	2	2	no	—
573	C₅×C₄⋊C₄	—	2	2	no	—
574	C₅×C₄⋊C₄	—	2	2	no	—
575	C₅×C₄⋊C₄	—	2	2	no	—
576	C₅×C₄⋊C₄	—	2	2	no	—
577	C₅×C₄⋊C₄	—	4	1	no	—
578	C₅×C₄⋊C₄	—	4	1	no	—
579	C₅×C₄⋊C₄	—	4	1	no	—
580	C₅×C₄⋊C₄	—	4	1	no	—
581	C₅×C₄⋊C₄	—	4	1	no	—
582	C₅×C₄⋊C₄	—	4	1	no	—
583	C₅×C₄⋊C₄	—	4	1	no	—
584	C₅×C₄⋊C₄	—	4	1	no	—
585	C₅×C₄⋊C₄	—	4	1	no	—
586	C₅×C₄⋊C₄	—	4	1	no	—
587	C₅×C₄⋊C₄	—	4	1	no	—
588	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	—
589	C₅×C₂²⋊C₄	—	2	2	no	—
590	C₅×C₂²⋊C₄	—	2	2	no	—
591	C₅×C₂²⋊C₄	—	2	2	no	—
592	C₅×C₂²⋊C₄	—	2	2	no	—
593	C₅×C₂²⋊C₄	—	2	2	no	—
594	C₅×C₂²⋊C₄	—	2	2	no	—
595	C₅×C₂²⋊C₄	—	2	2	no	—
596	C₅×C₂²⋊C₄	—	2	2	no	—
597	C₅×C₂²⋊C₄	—	2	2	no	—
598	C₅×C₂²⋊C₄	—	2	2	no	—
599	C₅×C₂²⋊C₄	—	2	2	no	—
600	C₅×C₂²⋊C₄	—	2	2	no	—
601	C₅×C₂²⋊C₄	—	2	2	no	—
602	C₅×C₂²⋊C₄	—	2	2	no	—
603	C₅×C₂²⋊C₄	—	2	2	no	—
604	C₅×C₂²⋊C₄	—	2	2	no	—
605	C₅×C₂²⋊C₄	—	2	2	no	—
606	C₅×C₂²⋊C₄	—	2	2	no	—
607	C₅×C₂²⋊C₄	—	2	2	no	—
608	C₅×C₂²⋊C₄	—	2	2	no	—
609	C₅×C₂²⋊C₄	—	2	2	no	—
610	C₅×C₂²⋊C₄	—	2	2	no	—
611	C₅×C₂²⋊C₄	—	2	2	no	—
612	C₅×C₂²⋊C₄	—	2	2	no	—
613	C₅×C₂²⋊C₄	—	2	2	no	—
614	C₅×C₂²⋊C₄	—	2	2	no	—
615	C₅×C₂²⋊C₄	—	2	2	no	—
616	C₅×C₂²⋊C₄	—	2	2	no	—
617	C₅×C₂²⋊C₄	—	2	2	no	—
618	C₅×C₂²⋊C₄	—	4	1	no	—
619	C₅×C₂²⋊C₄	—	4	1	no	—
620	C₅×C₂²⋊C₄	—	4	1	no	—
621	C₅×C₂²⋊C₄	—	4	1	no	—
622	C₅×C₂²⋊C₄	—	4	1	no	—
623	C₅×C₂²⋊C₄	—	4	1	no	—
624	C₅×C₂²⋊C₄	—	4	1	no	—
625	C₅×C₂²⋊C₄	—	4	1	no	—
626	C₅×C₂²⋊C₄	—	4	1	no	—
627	C₅×C₂²⋊C₄	—	4	1	no	—
628	C₅×C₂²⋊C₄	—	4	1	no	—
629	C₅×C₂²⋊C₄	—	4	1	no	—
630	C₅×C₂²⋊C₄	—	4	1	no	—
631	C₅×C₂²⋊C₄	—	4	1	no	—
632	C₅×C₂²⋊C₄	—	4	1	no	—
633	C₅×C₂²⋊C₄	C₂×D₄	1	4	yes	—
634	C₅×C₂²⋊C₄	C₂×D₄	1	4	yes	—
635	C₄²×C₅	—	2	2	no	—
636	C₄²×C₅	—	2	2	no	—
637	C₄²×C₅	—	2	2	no	—
638	C₄²×C₅	—	2	2	no	—
639	C₄²×C₅	—	2	2	no	—
640	C₄²×C₅	—	2	2	no	—
641	C₄²×C₅	—	4	1	no	—
642	C₄²×C₅	—	4	1	no	—
643	C₄²×C₅	C₂×D₄	1	4	yes	—
644	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
645	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
646	C₂⁴×C₄	C₂²×C₅	1	1	yes	characteristic
647	#525	—	2	8	no	—
648	C₂×#123	C₂²×C₅	1	1	yes	characteristic
649	C₂×#123	C₂²×C₅	1	1	yes	characteristic
650	C₂×#123	C₂²×C₅	1	1	yes	characteristic
651	C₂×#123	C₂²×C₅	1	1	yes	characteristic
652	C₂×#123	C₂²×C₅	1	1	yes	characteristic, complemented
653	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
654	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
655	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
656	C₂×#121	C₂²×C₅	1	1	yes	characteristic
657	C₂×#121	C₂²×C₅	1	1	yes	characteristic
658	C₂×#121	C₂²×C₅	1	1	yes	characteristic
659	C₂×#121	C₂²×C₅	1	1	yes	characteristic
660	C₂×#120	C₂²×C₅	1	1	yes	characteristic
661	C₂×#120	C₂²×C₅	1	1	yes	characteristic
662	C₂×#120	C₂²×C₅	1	1	yes	characteristic
663	#520	—	2	8	no	—
664	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
665	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
666	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
667	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
668	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
669	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
670	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
671	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
672	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
673	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
674	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
675	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
676	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
677	C₂×#117	C₂²×C₅	1	1	yes	characteristic
678	C₂×#117	C₂²×C₅	1	1	yes	characteristic
679	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
680	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
681	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
682	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
683	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
684	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
685	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
686	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
687	#400	C₂²×C₅	1	1	yes	characteristic, complemented
688	#399	C₂²×C₅	1	1	yes	characteristic
689	#399	C₂²×C₅	1	1	yes	characteristic, complemented
690	#399	C₂²×C₅	1	1	yes	characteristic, complemented
691	#398	C₂²×C₅	1	1	yes	characteristic, complemented
692	#398	C₂²×C₅	1	1	yes	characteristic, complemented
693	#398	C₂²×C₅	1	1	yes	characteristic, complemented
694	#398	C₂²×C₅	1	1	yes	characteristic, complemented
695	#397	C₂²×C₅	1	1	yes	characteristic
696	#397	C₂²×C₅	1	1	yes	characteristic, complemented
697	#396	C₂²×C₅	1	1	yes	characteristic
698	#396	C₂²×C₅	1	1	yes	characteristic
699	#396	C₂²×C₅	1	1	yes	characteristic
700	#396	C₂²×C₅	1	1	yes	characteristic, complemented
701	#395	C₂²×C₅	1	1	yes	characteristic, complemented
702	#395	C₂²×C₅	1	1	yes	characteristic, complemented
703	#395	C₂²×C₅	1	1	yes	characteristic, complemented
704	#394	C₂²×C₅	1	1	yes	characteristic
705	#394	C₂²×C₅	1	1	yes	characteristic
706	#394	C₂²×C₅	1	1	yes	characteristic
707	#394	C₂²×C₅	1	1	yes	characteristic
708	#394	C₂²×C₅	1	1	yes	characteristic
709	#394	C₂²×C₅	1	1	yes	characteristic
710	#394	C₂²×C₅	1	1	yes	characteristic, complemented
711	#394	C₂²×C₅	1	1	yes	characteristic, complemented
712	#393	C₂²×C₅	1	1	yes	characteristic
713	#393	C₂²×C₅	1	1	yes	characteristic
714	#393	C₂²×C₅	1	1	yes	characteristic, complemented
715	#392	C₂²×C₅	1	1	yes	characteristic
716	#392	C₂²×C₅	1	1	yes	characteristic
717	#392	C₂²×C₅	1	1	yes	characteristic
718	#392	C₂²×C₅	1	1	yes	characteristic, complemented
719	#391	C₂²×C₅	1	1	yes	characteristic, complemented
720	#390	C₂²×C₅	1	1	yes	characteristic
721	#390	C₂²×C₅	1	1	yes	characteristic
722	#390	C₂²×C₅	1	1	yes	characteristic
723	#389	C₂²×C₅	1	1	yes	characteristic, complemented
724	#389	C₂²×C₅	1	1	yes	characteristic, complemented
725	#389	C₂²×C₅	1	1	yes	characteristic, complemented
726	#389	C₂²×C₅	1	1	yes	characteristic, complemented
727	#388	C₂²×C₅	1	1	yes	characteristic
728	#388	C₂²×C₅	1	1	yes	characteristic
729	#388	C₂²×C₅	1	1	yes	characteristic
730	#388	C₂²×C₅	1	1	yes	characteristic
731	#388	C₂²×C₅	1	1	yes	characteristic
732	#388	C₂²×C₅	1	1	yes	characteristic, complemented
733	#388	C₂²×C₅	1	1	yes	characteristic, complemented
734	#388	C₂²×C₅	1	1	yes	characteristic, complemented
735	#388	C₂²×C₅	1	1	yes	characteristic, complemented
736	#388	C₂²×C₅	1	1	yes	characteristic, complemented
737	#388	C₂²×C₅	1	1	yes	characteristic, complemented
738	#388	C₂²×C₅	1	1	yes	characteristic, complemented
739	#387	C₂²×C₅	1	1	yes	characteristic, complemented
740	#387	C₂²×C₅	1	1	yes	characteristic, complemented
741	#387	C₂²×C₅	1	1	yes	characteristic, complemented
742	#387	C₂²×C₅	1	1	yes	characteristic, complemented
743	#387	C₂²×C₅	1	1	yes	characteristic, complemented
744	#387	C₂²×C₅	1	1	yes	characteristic, complemented
745	#387	C₂²×C₅	1	1	yes	characteristic, complemented
746	#387	C₂²×C₅	1	1	yes	characteristic, complemented
747	#387	C₂²×C₅	1	1	yes	characteristic, complemented
748	#387	C₂²×C₅	1	1	yes	characteristic, complemented
749	#386	C₂²×C₅	1	1	yes	characteristic
750	#386	C₂²×C₅	1	1	yes	characteristic
751	#386	C₂²×C₅	1	1	yes	characteristic
752	#386	C₂²×C₅	1	1	yes	characteristic
753	#386	C₂²×C₅	1	1	yes	characteristic
754	#386	C₂²×C₅	1	1	yes	characteristic
755	#386	C₂²×C₅	1	1	yes	characteristic
756	#386	C₂²×C₅	1	1	yes	characteristic
757	#386	C₂²×C₅	1	1	yes	characteristic
758	#386	C₂²×C₅	1	1	yes	characteristic
759	#386	C₂²×C₅	1	1	yes	characteristic
760	#386	C₂²×C₅	1	1	yes	characteristic
761	#386	C₂²×C₅	1	1	yes	characteristic
762	#386	C₂²×C₅	1	1	yes	characteristic
763	#386	C₂²×C₅	1	1	yes	characteristic, complemented
764	#386	C₂²×C₅	1	1	yes	characteristic, complemented
765	#386	C₂²×C₅	1	1	yes	characteristic, complemented
766	#386	C₂²×C₅	1	1	yes	characteristic, complemented
767	#385	C₂²×C₅	1	1	yes	characteristic
768	#385	C₂²×C₅	1	1	yes	characteristic
769	#385	C₂²×C₅	1	1	yes	characteristic
770	#385	C₂²×C₅	1	1	yes	characteristic
771	#385	C₂²×C₅	1	1	yes	characteristic
772	#385	C₂²×C₅	1	1	yes	characteristic
773	#385	C₂²×C₅	1	1	yes	characteristic
774	#385	C₂²×C₅	1	1	yes	characteristic
775	#385	C₂²×C₅	1	1	yes	characteristic
776	#385	C₂²×C₅	1	1	yes	characteristic
777	#385	C₂²×C₅	1	1	yes	characteristic
778	#385	C₂²×C₅	1	1	yes	characteristic
779	#385	C₂²×C₅	1	1	yes	characteristic
780	#385	C₂²×C₅	1	1	yes	characteristic
781	#385	C₂²×C₅	1	1	yes	characteristic, complemented
782	#385	C₂²×C₅	1	1	yes	characteristic, complemented
783	#385	C₂²×C₅	1	1	yes	characteristic, complemented
784	#385	C₂²×C₅	1	1	yes	characteristic, complemented
785	#385	C₂²×C₅	1	1	yes	characteristic, complemented
786	#385	C₂²×C₅	1	1	yes	characteristic, complemented
787	#385	C₂²×C₅	1	1	yes	characteristic, complemented
788	#385	C₂²×C₅	1	1	yes	characteristic, complemented
789	#383	C₂²×C₅	1	1	yes	characteristic, complemented
790	#382	C₂²×C₅	1	1	yes	characteristic, complemented
791	#381	C₂²×C₅	1	1	yes	characteristic
792	#381	C₂²×C₅	1	1	yes	characteristic, complemented
793	#380	C₂²×C₅	1	1	yes	characteristic
794	#380	C₂²×C₅	1	1	yes	characteristic, complemented
795	#379	C₂²×C₅	1	1	yes	characteristic
796	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
797	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
798	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
799	C₂×#95	C₂²×C₅	1	1	yes	characteristic
800	C₂×#95	C₂²×C₅	1	1	yes	characteristic
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	—	2	8	no	—
806	C₂³×C₅	—	2	1	no	—
807	C₂³×C₅	—	2	1	no	—
808	C₂³×C₅	—	2	1	no	—
809	C₂³×C₅	—	2	1	no	—
810	C₂³×C₅	—	2	1	no	—
811	C₂³×C₅	—	2	1	no	—
812	C₂³×C₅	—	2	1	no	—
813	C₂³×C₅	—	2	1	no	—
814	C₂³×C₅	—	2	1	no	—
815	C₂³×C₅	—	2	1	no	—
816	C₂³×C₅	—	2	1	no	—
817	C₂³×C₅	—	2	1	no	—
818	C₂³×C₅	—	2	1	no	—
819	C₂³×C₅	—	2	1	no	—
820	C₂³×C₅	—	2	1	no	—
821	C₂³×C₅	—	2	1	no	—
822	C₂³×C₅	—	2	1	no	—
823	C₂³×C₅	—	2	1	no	—
824	C₂³×C₅	—	2	1	no	—
825	C₂³×C₅	—	2	1	no	—
826	C₂³×C₅	—	2	1	no	—
827	C₂³×C₅	—	2	1	no	—
828	C₂³×C₅	—	2	1	no	—
829	C₂³×C₅	—	2	1	no	—
830	C₂³×C₅	—	2	1	no	—
831	C₂³×C₅	—	2	1	no	—
832	C₂³×C₅	—	2	1	no	—
833	C₂³×C₅	—	2	1	no	—
834	C₂³×C₅	—	2	1	no	—
835	C₂³×C₅	—	2	1	no	—
836	C₂³×C₅	—	2	1	no	—
837	C₂³×C₅	—	4	4	no	—
838	C₂³×C₅	—	4	4	no	—
839	C₂³×C₅	—	4	4	no	—
840	C₂³×C₅	—	4	4	no	—
841	C₂³×C₅	—	4	4	no	—
842	C₂³×C₅	—	4	4	no	—
843	C₂³×C₅	C₂²×D₄	1	2	yes	—
844	C₂³×C₅	C₂²×D₄	1	2	yes	—
845	C₂³×C₅	C₂×#41	1	2	yes	—
846	C₂³×C₅	C₂×#41	1	2	yes	—
847	C₂³×C₅	C₂×#41	1	2	yes	—
848	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
849	C₂³×C₅	2₋¹⁺⁴	1	2	yes	—
850	C₂³×C₅	C₂⁵	1	1	yes	characteristic
851	C₅×Q₈	—	2	8	no	—
852	C₅×Q₈	—	4	4	no	—
853	C₅×D₄	—	2	8	no	—
854	C₅×D₄	—	2	8	no	—
855	C₅×D₄	—	2	8	no	—
856	C₅×D₄	—	4	4	no	—
857	C₅×D₄	—	4	4	no	—
858	C₅×D₄	—	4	4	no	—
859	C₅×D₄	—	4	4	no	—
860	C₅×D₄	—	4	4	no	—
861	C₅×D₄	—	4	4	no	—
862	C₅×D₄	—	4	4	no	—
863	C₅×D₄	—	4	4	no	—
864	C₅×D₄	—	8	2	no	—
865	C₂×C₄×C₅	—	2	8	no	—
866	C₂×C₄×C₅	—	2	8	no	—
867	C₂×C₄×C₅	—	2	8	no	—
868	C₂×C₄×C₅	—	2	8	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	—	2	1	no	—
898	C₂×C₄×C₅	—	2	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	2	1	no	—
927	C₂×C₄×C₅	—	2	1	no	—
928	C₂×C₄×C₅	—	2	1	no	—
929	C₂×C₄×C₅	—	2	1	no	—
930	C₂×C₄×C₅	—	2	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	2	1	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	4	4	no	—
936	C₂×C₄×C₅	—	4	4	no	—
937	C₂×C₄×C₅	—	4	4	no	—
938	C₂×C₄×C₅	—	4	4	no	—
939	C₂×C₄×C₅	—	4	4	no	—
940	C₂×C₄×C₅	—	4	4	no	—
941	C₂×C₄×C₅	—	4	4	no	—
942	C₂×C₄×C₅	—	4	4	no	—
943	C₂×C₄×C₅	—	8	2	no	—
944	C₂×C₄×C₅	—	8	2	no	—
945	C₂×C₄×C₅	—	8	2	no	—
946	C₂×C₄×C₅	—	8	2	no	—
947	C₂×C₄×C₅	—	8	2	no	—
948	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
949	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
950	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
951	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
952	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
953	C₂×C₄×C₅	C₂×#41	1	2	yes	—
954	C₂×C₄×C₅	C₂×#41	1	2	yes	—
955	C₂×C₄×C₅	C₂×#41	1	2	yes	—
956	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
957	C₂⁵	C₂³×C₅	1	1	yes	characteristic
958	C₂×#41	—	2	4	no	—
959	C₂×#41	—	2	4	no	—
960	C₂×#41	—	2	4	no	—
961	C₂×#41	—	2	4	no	—
962	C₂×#41	—	4	2	no	—
963	C₂×#41	—	4	2	no	—
964	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
965	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
966	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
967	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
968	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
970	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
971	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
972	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
973	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
974	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
975	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
976	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
977	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
978	C₂³×C₄	—	2	4	no	—
979	C₂³×C₄	—	4	2	no	—
980	C₂³×C₄	—	4	2	no	—
981	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
982	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
983	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
984	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
985	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
986	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
987	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
988	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
991	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
993	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
994	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
995	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
996	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
997	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
998	#123	—	2	4	no	—
999	#123	—	2	4	no	—
1000	#123	—	2	4	no	—
1001	#123	—	4	2	no	—
1002	#123	—	4	2	no	—
1003	C₂²⋊Q₈	—	2	4	no	—
1004	C₂²⋊Q₈	—	2	4	no	—
1005	C₂²⋊Q₈	—	4	2	no	—
1006	#121	—	2	4	no	—
1007	#121	—	2	4	no	—
1008	#121	—	2	4	no	—
1009	#121	—	4	2	no	—
1010	#120	—	2	4	no	—
1011	#120	—	2	4	no	—
1012	#120	—	2	4	no	—
1013	C₄×Q₈	—	2	4	no	—
1014	C₄×Q₈	—	2	4	no	—
1015	C₄×D₄	—	2	4	no	—
1016	C₄×D₄	—	2	4	no	—
1017	C₄×D₄	—	2	4	no	—
1018	C₄×D₄	—	2	4	no	—
1019	C₄×D₄	—	2	4	no	—
1020	C₄×D₄	—	2	4	no	—
1021	C₄×D₄	—	2	4	no	—
1022	C₄×D₄	—	2	4	no	—
1023	C₄×D₄	—	4	2	no	—
1024	C₄×D₄	—	4	2	no	—
1025	C₄×D₄	C₅×D₄	1	8	yes	complemented
1026	#117	—	2	4	no	—
1027	#117	—	2	4	no	—
1028	#117	—	2	4	no	—
1029	#117	—	2	4	no	—
1030	C₂×C₄⋊C₄	—	2	4	no	—
1031	C₂×C₄⋊C₄	—	2	4	no	—
1032	C₂×C₄⋊C₄	—	2	4	no	—
1033	C₂×C₄⋊C₄	—	4	2	no	—
1034	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	—	2	4	no	—
1067	C₂×C₂²⋊C₄	—	4	2	no	—
1068	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1114	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1115	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1116	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1117	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1118	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1119	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1120	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1121	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1122	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1123	#95	C₂³×C₅	1	1	yes	characteristic
1124	#95	C₂³×C₅	1	1	yes	characteristic
1125	#95	C₂³×C₅	1	1	yes	characteristic
1126	#95	C₂³×C₅	1	1	yes	characteristic
1127	#95	C₂³×C₅	1	1	yes	characteristic
1128	#95	C₂³×C₅	1	1	yes	characteristic
1129	#95	C₂³×C₅	1	1	yes	characteristic
1130	#95	C₂³×C₅	1	1	yes	characteristic
1131	#95	C₂³×C₅	1	1	yes	characteristic
1132	#95	C₂³×C₅	1	1	yes	characteristic
1133	#95	C₂³×C₅	1	1	yes	characteristic
1134	#95	C₂³×C₅	1	1	yes	characteristic
1135	#95	C₂³×C₅	1	1	yes	characteristic
1136	#95	C₂³×C₅	1	1	yes	characteristic
1137	#95	C₂³×C₅	1	1	yes	characteristic
1138	#95	C₂³×C₅	1	1	yes	characteristic
1139	#95	C₂³×C₅	1	1	yes	characteristic
1140	#95	C₂³×C₅	1	1	yes	characteristic
1141	#95	C₂³×C₅	1	1	yes	characteristic
1142	#95	C₂³×C₅	1	1	yes	characteristic
1143	#95	C₂³×C₅	1	1	yes	characteristic
1144	#95	C₂³×C₅	1	1	yes	characteristic
1145	#95	C₂³×C₅	1	1	yes	characteristic
1146	#95	C₂³×C₅	1	1	yes	characteristic
1147	#95	C₂³×C₅	1	1	yes	characteristic
1148	#95	C₂³×C₅	1	1	yes	characteristic
1149	#95	C₂³×C₅	1	1	yes	characteristic
1150	#95	C₂³×C₅	1	1	yes	characteristic
1151	#95	C₂³×C₅	1	1	yes	characteristic
1152	#95	C₂³×C₅	1	1	yes	characteristic
1153	#95	C₂³×C₅	1	1	yes	characteristic
1154	#95	C₂³×C₅	1	1	yes	characteristic
1155	#95	C₂³×C₅	1	1	yes	characteristic
1156	#95	C₂³×C₅	1	1	yes	characteristic
1157	#95	C₂³×C₅	1	1	yes	characteristic
1158	#95	C₂³×C₅	1	1	yes	characteristic
1159	C₂²×C₅	—	2	2	no	—
1160	C₂²×C₅	—	2	2	no	—
1161	C₂²×C₅	—	2	2	no	—
1162	C₂²×C₅	—	2	2	no	—
1163	C₂²×C₅	—	2	2	no	—
1164	C₂²×C₅	—	2	2	no	—
1165	C₂²×C₅	—	2	2	no	—
1166	C₂²×C₅	—	2	2	no	—
1167	C₂²×C₅	—	2	2	no	—
1168	C₂²×C₅	—	2	2	no	—
1169	C₂²×C₅	—	2	2	no	—
1170	C₂²×C₅	—	2	2	no	—
1171	C₂²×C₅	—	2	2	no	—
1172	C₂²×C₅	—	2	2	no	—
1173	C₂²×C₅	—	2	2	no	—
1174	C₂²×C₅	—	2	2	no	—
1175	C₂²×C₅	—	2	2	no	—
1176	C₂²×C₅	—	2	2	no	—
1177	C₂²×C₅	—	4	16	no	—
1178	C₂²×C₅	—	4	1	no	—
1179	C₂²×C₅	—	4	1	no	—
1180	C₂²×C₅	—	4	1	no	—
1181	C₂²×C₅	—	4	1	no	—
1182	C₂²×C₅	—	4	1	no	—
1183	C₂²×C₅	—	4	1	no	—
1184	C₂²×C₅	—	4	1	no	—
1185	C₂²×C₅	—	4	1	no	—
1186	C₂²×C₅	—	4	1	no	—
1187	C₂²×C₅	—	4	1	no	—
1188	C₂²×C₅	—	4	1	no	—
1189	C₂²×C₅	—	4	1	no	—
1190	C₂²×C₅	—	4	1	no	—
1191	C₂²×C₅	—	4	1	no	—
1192	C₂²×C₅	—	4	1	no	—
1193	C₂²×C₅	—	4	1	no	—
1194	C₂²×C₅	—	4	1	no	—
1195	C₂²×C₅	—	4	1	no	—
1196	C₂²×C₅	—	4	1	no	—
1197	C₂²×C₅	—	4	1	no	—
1198	C₂²×C₅	—	4	1	no	—
1199	C₂²×C₅	—	4	1	no	—
1200	C₂²×C₅	—	4	1	no	—
1201	C₂²×C₅	#525	1	4	yes	—
1202	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1203	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1204	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1205	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1206	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1207	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1208	C₂²×C₅	#585	1	1	yes	characteristic
1209	C₄×C₅	—	2	2	no	—
1210	C₄×C₅	—	2	2	no	—
1211	C₄×C₅	—	2	2	no	—
1212	C₄×C₅	—	2	2	no	—
1213	C₄×C₅	—	2	2	no	—
1214	C₄×C₅	—	2	2	no	—
1215	C₄×C₅	—	2	2	no	—
1216	C₄×C₅	—	2	2	no	—
1217	C₄×C₅	—	2	2	no	—
1218	C₄×C₅	—	4	1	no	—
1219	C₄×C₅	—	4	1	no	—
1220	C₄×C₅	—	4	1	no	—
1221	C₄×C₅	—	4	1	no	—
1222	C₄×C₅	—	4	1	no	—
1223	C₄×C₅	—	4	1	no	—
1224	C₄×C₅	—	4	1	no	—
1225	C₄×C₅	—	4	1	no	—
1226	C₄×C₅	—	4	1	no	—
1227	C₄×C₅	—	4	1	no	—
1228	C₄×C₅	—	4	1	no	—
1229	C₄×C₅	—	4	1	no	—
1230	C₄×C₅	—	4	1	no	—
1231	C₄×C₅	—	4	1	no	—
1232	C₄×C₅	—	4	1	no	—
1233	C₄×C₅	—	4	1	no	—
1234	C₂⁴	—	2	2	no	—
1235	C₂⁴	—	2	2	no	—
1236	C₂⁴	—	2	2	no	—
1237	C₂⁴	—	2	2	no	—
1238	C₂⁴	—	2	2	no	—
1239	C₂⁴	—	4	1	no	—
1240	C₂⁴	—	4	1	no	—
1241	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1242	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1243	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1244	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1245	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1246	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1247	#41	—	2	32	no	—
1248	#41	—	4	16	no	—
1249	C₂×Q₈	—	2	2	no	—
1250	C₂×Q₈	—	2	2	no	—
1251	C₂×Q₈	—	2	2	no	—
1252	C₂×Q₈	—	2	2	no	—
1253	C₂×Q₈	—	2	2	no	—
1254	C₂×Q₈	—	4	1	no	—
1255	C₂×D₄	—	2	2	no	—
1256	C₂×D₄	—	2	2	no	—
1257	C₂×D₄	—	2	2	no	—
1258	C₂×D₄	—	2	2	no	—
1259	C₂×D₄	—	2	2	no	—
1260	C₂×D₄	—	2	2	no	—
1261	C₂×D₄	—	2	2	no	—
1262	C₂×D₄	—	2	2	no	—
1263	C₂×D₄	—	2	2	no	—
1264	C₂×D₄	—	2	2	no	—
1265	C₂×D₄	—	2	2	no	—
1266	C₂×D₄	—	2	2	no	—
1267	C₂×D₄	—	2	2	no	—
1268	C₂×D₄	—	2	2	no	—
1269	C₂×D₄	—	2	2	no	—
1270	C₂×D₄	—	2	2	no	—
1271	C₂×D₄	—	2	2	no	—
1272	C₂×D₄	—	2	2	no	—
1273	C₂×D₄	—	2	2	no	—
1274	C₂×D₄	—	2	2	no	—
1275	C₂×D₄	—	2	2	no	—
1276	C₂×D₄	—	2	2	no	—
1277	C₂×D₄	—	2	2	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	4	1	no	—
1281	C₂×D₄	—	4	1	no	—
1282	C₂×D₄	—	4	1	no	—
1283	C₂×D₄	—	4	1	no	—
1284	C₂×D₄	—	4	1	no	—
1285	C₂×D₄	—	4	1	no	—
1286	C₂×D₄	—	4	1	no	—
1287	C₂×D₄	—	4	1	no	—
1288	C₂×D₄	—	4	1	no	—
1289	C₂×D₄	C₂×C₅×D₄	1	4	yes	—
1290	C₂×D₄	C₅×#41	1	4	yes	complemented
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	2	2	no	—
1293	C₂²×C₄	—	2	2	no	—
1294	C₂²×C₄	—	2	2	no	—
1295	C₂²×C₄	—	2	2	no	—
1296	C₂²×C₄	—	2	2	no	—
1297	C₂²×C₄	—	2	2	no	—
1298	C₂²×C₄	—	2	2	no	—
1299	C₂²×C₄	—	2	2	no	—
1300	C₂²×C₄	—	2	2	no	—
1301	C₂²×C₄	—	2	2	no	—
1302	C₂²×C₄	—	2	2	no	—
1303	C₂²×C₄	—	2	2	no	—
1304	C₂²×C₄	—	2	2	no	—
1305	C₂²×C₄	—	2	2	no	—
1306	C₂²×C₄	—	2	2	no	—
1307	C₂²×C₄	—	2	2	no	—
1308	C₂²×C₄	—	2	2	no	—
1309	C₂²×C₄	—	2	2	no	—
1310	C₂²×C₄	—	2	2	no	—
1311	C₂²×C₄	—	2	2	no	—
1312	C₂²×C₄	—	2	2	no	—
1313	C₂²×C₄	—	2	2	no	—
1314	C₂²×C₄	—	2	2	no	—
1315	C₂²×C₄	—	2	2	no	—
1316	C₂²×C₄	—	4	1	no	—
1317	C₂²×C₄	—	4	1	no	—
1318	C₂²×C₄	—	4	1	no	—
1319	C₂²×C₄	—	4	1	no	—
1320	C₂²×C₄	—	4	1	no	—
1321	C₂²×C₄	—	4	1	no	—
1322	C₂²×C₄	—	4	1	no	—
1323	C₂²×C₄	—	4	1	no	—
1324	C₂²×C₄	—	4	1	no	—
1325	C₂²×C₄	—	4	1	no	—
1326	C₂²×C₄	—	4	1	no	—
1327	C₂²×C₄	—	4	1	no	—
1328	C₂²×C₄	—	4	1	no	—
1329	C₂²×C₄	—	4	1	no	—
1330	C₂²×C₄	—	4	1	no	—
1331	C₂²×C₄	—	4	1	no	—
1332	C₂²×C₄	—	4	1	no	—
1333	C₂²×C₄	—	4	1	no	—
1334	C₂²×C₄	—	4	1	no	—
1335	C₂²×C₄	—	4	1	no	—
1336	C₂²×C₄	—	4	1	no	—
1337	C₂²×C₄	—	4	1	no	—
1338	C₂²×C₄	—	4	1	no	—
1339	C₂²×C₄	—	4	16	no	—
1340	C₂²×C₄	C₂×C₅×D₄	1	4	yes	—
1341	C₂²×C₄	C₂×C₅×D₄	1	4	yes	—
1342	C₂²×C₄	C₅×#41	1	4	yes	complemented
1343	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1346	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1347	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1348	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1349	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1350	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1353	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1360	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1361	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1362	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1367	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1368	C₄⋊C₄	—	2	2	no	—
1369	C₄⋊C₄	—	2	2	no	—
1370	C₄⋊C₄	—	2	2	no	—
1371	C₄⋊C₄	—	2	2	no	—
1372	C₄⋊C₄	—	2	2	no	—
1373	C₄⋊C₄	—	2	2	no	—
1374	C₄⋊C₄	—	2	2	no	—
1375	C₄⋊C₄	—	2	2	no	—
1376	C₄⋊C₄	—	2	2	no	—
1377	C₄⋊C₄	—	2	2	no	—
1378	C₄⋊C₄	—	2	2	no	—
1379	C₄⋊C₄	—	2	2	no	—
1380	C₄⋊C₄	—	2	2	no	—
1381	C₄⋊C₄	—	2	2	no	—
1382	C₄⋊C₄	—	2	2	no	—
1383	C₄⋊C₄	—	2	2	no	—
1384	C₄⋊C₄	—	2	2	no	—
1385	C₄⋊C₄	—	2	2	no	—
1386	C₄⋊C₄	—	2	2	no	—
1387	C₄⋊C₄	—	2	2	no	—
1388	C₄⋊C₄	—	4	1	no	—
1389	C₄⋊C₄	—	4	1	no	—
1390	C₄⋊C₄	—	4	1	no	—
1391	C₄⋊C₄	—	4	1	no	—
1392	C₄⋊C₄	—	4	1	no	—
1393	C₄⋊C₄	—	4	1	no	—
1394	C₄⋊C₄	—	4	1	no	—
1395	C₄⋊C₄	—	4	1	no	—
1396	C₄⋊C₄	—	4	1	no	—
1397	C₄⋊C₄	—	4	1	no	—
1398	C₄⋊C₄	—	4	1	no	—
1399	C₄⋊C₄	C₂×C₅×D₄	1	4	yes	—
1400	C₂²⋊C₄	—	2	2	no	—
1401	C₂²⋊C₄	—	2	2	no	—
1402	C₂²⋊C₄	—	2	2	no	—
1403	C₂²⋊C₄	—	2	2	no	—
1404	C₂²⋊C₄	—	2	2	no	—
1405	C₂²⋊C₄	—	2	2	no	—
1406	C₂²⋊C₄	—	2	2	no	—
1407	C₂²⋊C₄	—	2	2	no	—
1408	C₂²⋊C₄	—	2	2	no	—
1409	C₂²⋊C₄	—	2	2	no	—
1410	C₂²⋊C₄	—	2	2	no	—
1411	C₂²⋊C₄	—	2	2	no	—
1412	C₂²⋊C₄	—	2	2	no	—
1413	C₂²⋊C₄	—	2	2	no	—
1414	C₂²⋊C₄	—	2	2	no	—
1415	C₂²⋊C₄	—	2	2	no	—
1416	C₂²⋊C₄	—	2	2	no	—
1417	C₂²⋊C₄	—	2	2	no	—
1418	C₂²⋊C₄	—	2	2	no	—
1419	C₂²⋊C₄	—	2	2	no	—
1420	C₂²⋊C₄	—	2	2	no	—
1421	C₂²⋊C₄	—	2	2	no	—
1422	C₂²⋊C₄	—	2	2	no	—
1423	C₂²⋊C₄	—	2	2	no	—
1424	C₂²⋊C₄	—	2	2	no	—
1425	C₂²⋊C₄	—	2	2	no	—
1426	C₂²⋊C₄	—	2	2	no	—
1427	C₂²⋊C₄	—	2	2	no	—
1428	C₂²⋊C₄	—	2	2	no	—
1429	C₂²⋊C₄	—	4	1	no	—
1430	C₂²⋊C₄	—	4	1	no	—
1431	C₂²⋊C₄	—	4	1	no	—
1432	C₂²⋊C₄	—	4	1	no	—
1433	C₂²⋊C₄	—	4	1	no	—
1434	C₂²⋊C₄	—	4	1	no	—
1435	C₂²⋊C₄	—	4	1	no	—
1436	C₂²⋊C₄	—	4	1	no	—
1437	C₂²⋊C₄	—	4	1	no	—
1438	C₂²⋊C₄	—	4	1	no	—
1439	C₂²⋊C₄	—	4	1	no	—
1440	C₂²⋊C₄	—	4	1	no	—
1441	C₂²⋊C₄	—	4	1	no	—
1442	C₂²⋊C₄	—	4	1	no	—
1443	C₂²⋊C₄	—	4	1	no	—
1444	C₂²⋊C₄	C₂×C₅×D₄	1	4	yes	—
1445	C₂²⋊C₄	C₂×C₅×D₄	1	4	yes	—
1446	C₄²	—	2	2	no	—
1447	C₄²	—	2	2	no	—
1448	C₄²	—	2	2	no	—
1449	C₄²	—	2	2	no	—
1450	C₄²	—	2	2	no	—
1451	C₄²	—	2	2	no	—
1452	C₄²	—	4	1	no	—
1453	C₄²	—	4	1	no	—
1454	C₄²	C₂×C₅×D₄	1	4	yes	—
1455	C₂×C₅	—	2	4	no	—
1456	C₂×C₅	—	4	2	no	—
1457	C₂×C₅	—	4	2	no	—
1458	C₂×C₅	—	4	2	no	—
1459	C₂×C₅	—	4	2	no	—
1460	C₂×C₅	—	8	1	no	—
1461	C₂×C₅	C₂×#525	1	1	yes	characteristic
1462	C₂×C₅	#3484	1	1	yes	characteristic
1463	C₂×C₅	#3489	1	1	yes	characteristic
1464	C₂×C₅	#3492	1	1	yes	characteristic
1465	C₂×C₅	#3506	1	1	yes	characteristic
1466	C₂×C₅	#3513	1	1	yes	characteristic
1467	C₂×C₅	#3520	1	1	yes	characteristic
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	8	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	2	1	no	—
1485	C₂³	—	2	1	no	—
1486	C₂³	—	2	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	2	1	no	—
1491	C₂³	—	2	1	no	—
1492	C₂³	—	2	1	no	—
1493	C₂³	—	2	1	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	4	4	no	—
1505	C₂³	—	4	4	no	—
1506	C₂³	—	4	4	no	—
1507	C₂³	—	4	4	no	—
1508	C₂³	—	4	4	no	—
1509	C₂³	—	4	4	no	—
1510	C₂³	C₂²×C₅×D₄	1	2	yes	—
1511	C₂³	C₂²×C₅×D₄	1	2	yes	—
1512	C₂³	C₂×C₅×#41	1	2	yes	—
1513	C₂³	C₂×C₅×#41	1	2	yes	—
1514	C₂³	C₂×C₅×#41	1	2	yes	—
1515	C₂³	C₅×H(5,𝔽₂)	1	2	yes	—
1516	C₂³	C₅×2₋¹⁺⁴	1	2	yes	—
1517	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1518	Q₈	—	2	8	no	—
1519	Q₈	—	4	4	no	—
1520	D₄	—	2	8	no	—
1521	D₄	—	2	8	no	—
1522	D₄	—	2	8	no	—
1523	D₄	—	4	4	no	—
1524	D₄	—	4	4	no	—
1525	D₄	—	4	4	no	—
1526	D₄	—	4	4	no	—
1527	D₄	—	4	4	no	—
1528	D₄	—	4	4	no	—
1529	D₄	—	4	4	no	—
1530	D₄	—	4	4	no	—
1531	D₄	—	8	2	no	—
1532	C₂×C₄	—	2	8	no	—
1533	C₂×C₄	—	2	8	no	—
1534	C₂×C₄	—	2	8	no	—
1535	C₂×C₄	—	2	8	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	4	4	no	—
1603	C₂×C₄	—	4	4	no	—
1604	C₂×C₄	—	4	4	no	—
1605	C₂×C₄	—	4	4	no	—
1606	C₂×C₄	—	4	4	no	—
1607	C₂×C₄	—	4	4	no	—
1608	C₂×C₄	—	4	4	no	—
1609	C₂×C₄	—	4	4	no	—
1610	C₂×C₄	—	8	2	no	—
1611	C₂×C₄	—	8	2	no	—
1612	C₂×C₄	—	8	2	no	—
1613	C₂×C₄	—	8	2	no	—
1614	C₂×C₄	—	8	2	no	—
1615	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1616	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1617	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1618	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1619	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1620	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1621	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1622	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1623	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1624	C₅	#35353	1	1	yes	characteristic, direct product factor, Sylow
1625	C₂²	—	2	2	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	2	no	—
1630	C₂²	—	2	2	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	2	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	4	16	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	C₅×#525	1	4	yes	—
1668	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1669	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1670	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1671	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1672	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1673	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1674	C₂²	C₅×#585	1	1	yes	characteristic
1675	C₄	—	2	2	no	—
1676	C₄	—	2	2	no	—
1677	C₄	—	2	2	no	—
1678	C₄	—	2	2	no	—
1679	C₄	—	2	2	no	—
1680	C₄	—	2	2	no	—
1681	C₄	—	2	2	no	—
1682	C₄	—	2	2	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₂	—	2	4	no	—
1701	C₂	—	4	2	no	—
1702	C₂	—	4	2	no	—
1703	C₂	—	4	2	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	C₂×C₅×#525	1	1	yes	characteristic
1707	C₂	C₅×#3484	1	1	yes	characteristic
1708	C₂	C₅×#3489	1	1	yes	characteristic
1709	C₂	C₅×#3492	1	1	yes	characteristic
1710	C₂	C₅×#3506	1	1	yes	characteristic
1711	C₂	C₅×#3513	1	1	yes	characteristic
1712	C₂	C₅×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#525	C₂	semidirect
2. C₂×C₅×#520	C₂	semidirect
3. C₅×#2609	C₂	semidirect
4. C₅×#2600	C₂	semidirect
5. C₅×#2599	C₂	semidirect
6. C₅×#2598	C₂	semidirect
7. C₅×#2580	C₂	semidirect
8. C₅×#2579	C₂	semidirect
9. C₅×#2476	C₂	semidirect
10. C₅×#2470	C₂	semidirect
11. C₅×#2465	C₂	semidirect
12. C₅×#2458	C₂	semidirect
13. C₅×#2456	C₂	semidirect
14. C₅×#2455	C₂	semidirect
15. C₅×#2449	C₂	semidirect
16. C₅×#2449	C₂	semidirect
17. C₅×#2443	C₂	semidirect
18. C₅×#2443	C₂	semidirect
19. C₅×#2438	C₂	semidirect
20. C₅×#2430	C₂	semidirect
21. C₅×#2424	C₂	semidirect
22. C₅×#2418	C₂	semidirect
23. C₅×#2411	C₂	semidirect
24. C₅×#2407	C₂	semidirect
25. C₅×#2406	C₂	semidirect
26. C₅×#2404	C₂	semidirect
27. C₅×#2325	C₂	semidirect
28. C₅×#2322	C₂	semidirect
29. C₅×#2318	C₂	semidirect
30. C₄×C₅×#120	C₂	semidirect
31. C₂×C₅×#385	C₂	semidirect
40. C₂×C₅×#123	C₂²	semidirect
43. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₄×C₅×Q₈	C₂²	semidirect
53. C₂×C₄×C₅×Q₈	C₂²	semidirect
63. C₂×C₄×C₅×D₄	C₂²	semidirect
64. C₂×C₄×C₅×D₄	C₂²	semidirect
67. C₂×C₅×#117	C₂²	semidirect
68. C₂×C₅×#117	C₂²	semidirect
71. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
72. C₂²×C₅×C₄⋊C₄	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
84. C₅×#397	C₂²	semidirect
88. C₅×#396	C₂²	semidirect
89. C₅×#395	C₂²	semidirect
90. C₅×#395	C₂²	semidirect
91. C₅×#395	C₂²	semidirect
98. C₅×#394	C₂²	semidirect
99. C₅×#394	C₂²	semidirect
102. C₅×#393	C₂²	semidirect
106. C₅×#392	C₂²	semidirect
107. C₅×#391	C₂²	semidirect
111. C₅×#389	C₂²	semidirect
112. C₅×#389	C₂²	semidirect
113. C₅×#389	C₂²	semidirect
114. C₅×#389	C₂²	semidirect
120. C₅×#388	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
151. C₅×#386	C₂²	semidirect
152. C₅×#386	C₂²	semidirect
153. C₅×#386	C₂²	semidirect
154. C₅×#386	C₂²	semidirect
169. C₅×#385	C₂²	semidirect
170. C₅×#385	C₂²	semidirect
171. C₅×#385	C₂²	semidirect
172. C₅×#385	C₂²	semidirect
173. C₅×#385	C₂²	semidirect
174. C₅×#385	C₂²	semidirect
175. C₅×#385	C₂²	semidirect
176. C₅×#385	C₂²	semidirect
177. C₅×#383	C₂²	semidirect
178. C₅×#382	C₂²	semidirect
180. C₅×#381	C₂²	semidirect
182. C₅×#380	C₂²	semidirect
189. #35353	C₅	direct (N × H)
258. C₄×C₅×D₄	D₄	semidirect
392. C₂×#525	C₂×C₅	semidirect
393. C₂×#520	C₂×C₅	semidirect
394. #2609	C₂×C₅	semidirect
395. #2600	C₂×C₅	semidirect
396. #2599	C₂×C₅	semidirect
397. #2598	C₂×C₅	semidirect
398. #2580	C₂×C₅	semidirect
399. #2579	C₂×C₅	semidirect
400. #2476	C₂×C₅	semidirect
401. #2470	C₂×C₅	semidirect
402. #2465	C₂×C₅	semidirect
403. #2458	C₂×C₅	semidirect
404. #2456	C₂×C₅	semidirect
405. #2455	C₂×C₅	semidirect
406. #2449	C₂×C₅	semidirect
407. #2449	C₂×C₅	semidirect
408. #2443	C₂×C₅	semidirect
409. #2443	C₂×C₅	semidirect
410. #2438	C₂×C₅	semidirect
411. #2430	C₂×C₅	semidirect
412. #2424	C₂×C₅	semidirect
413. #2418	C₂×C₅	semidirect
414. #2411	C₂×C₅	semidirect
415. #2407	C₂×C₅	semidirect
416. #2406	C₂×C₅	semidirect
417. #2404	C₂×C₅	semidirect
418. #2325	C₂×C₅	semidirect
419. #2322	C₂×C₅	semidirect
420. #2318	C₂×C₅	semidirect
421. C₄×#120	C₂×C₅	semidirect
422. C₂×#385	C₂×C₅	semidirect
479. C₂×C₅×D₄	#41	semidirect
531. C₂²×C₄×C₅	#41	semidirect
652. C₂×#123	C₂²×C₅	semidirect
655. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
664. C₂×C₄×Q₈	C₂²×C₅	semidirect
665. C₂×C₄×Q₈	C₂²×C₅	semidirect
675. C₂×C₄×D₄	C₂²×C₅	semidirect
676. C₂×C₄×D₄	C₂²×C₅	semidirect
679. C₂×#117	C₂²×C₅	semidirect
680. C₂×#117	C₂²×C₅	semidirect
683. C₂²×C₄⋊C₄	C₂²×C₅	semidirect
684. C₂²×C₄⋊C₄	C₂²×C₅	semidirect
687. #400	C₂²×C₅	semidirect
689. #399	C₂²×C₅	semidirect
690. #399	C₂²×C₅	semidirect
691. #398	C₂²×C₅	semidirect
692. #398	C₂²×C₅	semidirect
693. #398	C₂²×C₅	semidirect
694. #398	C₂²×C₅	semidirect
696. #397	C₂²×C₅	semidirect
700. #396	C₂²×C₅	semidirect
701. #395	C₂²×C₅	semidirect
702. #395	C₂²×C₅	semidirect
703. #395	C₂²×C₅	semidirect
710. #394	C₂²×C₅	semidirect
711. #394	C₂²×C₅	semidirect
714. #393	C₂²×C₅	semidirect
718. #392	C₂²×C₅	semidirect
719. #391	C₂²×C₅	semidirect
723. #389	C₂²×C₅	semidirect
724. #389	C₂²×C₅	semidirect
725. #389	C₂²×C₅	semidirect
726. #389	C₂²×C₅	semidirect
732. #388	C₂²×C₅	semidirect
733. #388	C₂²×C₅	semidirect
734. #388	C₂²×C₅	semidirect
735. #388	C₂²×C₅	semidirect
736. #388	C₂²×C₅	semidirect
737. #388	C₂²×C₅	semidirect
738. #388	C₂²×C₅	semidirect
739. #387	C₂²×C₅	semidirect
740. #387	C₂²×C₅	semidirect
741. #387	C₂²×C₅	semidirect
742. #387	C₂²×C₅	semidirect
743. #387	C₂²×C₅	semidirect
744. #387	C₂²×C₅	semidirect
745. #387	C₂²×C₅	semidirect
746. #387	C₂²×C₅	semidirect
747. #387	C₂²×C₅	semidirect
748. #387	C₂²×C₅	semidirect
763. #386	C₂²×C₅	semidirect
764. #386	C₂²×C₅	semidirect
765. #386	C₂²×C₅	semidirect
766. #386	C₂²×C₅	semidirect
781. #385	C₂²×C₅	semidirect
782. #385	C₂²×C₅	semidirect
783. #385	C₂²×C₅	semidirect
784. #385	C₂²×C₅	semidirect
785. #385	C₂²×C₅	semidirect
786. #385	C₂²×C₅	semidirect
787. #385	C₂²×C₅	semidirect
788. #385	C₂²×C₅	semidirect
789. #383	C₂²×C₅	semidirect
790. #382	C₂²×C₅	semidirect
792. #381	C₂²×C₅	semidirect
794. #380	C₂²×C₅	semidirect
1025. C₄×D₄	C₅×D₄	semidirect
1290. C₂×D₄	C₅×#41	semidirect
1342. C₂²×C₄	C₅×#41	semidirect
1624. C₅	#35353	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₅×#525	2
C₂×C₅×#520	2
C₅×#2609	2
C₅×#2600	2
C₅×#2599	2
C₅×#2598	2
C₅×#2580	2
C₅×#2579	2
C₅×#2476	2
C₅×#2470	2
C₅×#2465	2
C₅×#2458	2
C₅×#2456	2
C₅×#2455	2
C₅×#2449	2
C₅×#2443	2
C₅×#2438	2
C₅×#2430	2
C₅×#2424	2
C₅×#2418	2
C₅×#2411	2
C₅×#2407	2
C₅×#2406	2
C₅×#2404	2
C₅×#2325	2
C₅×#2322	2
C₅×#2318	2
C₄×C₅×#120	2
C₂×C₅×#385	2
#35353	5

Subgroups — C5×#35353 #11958073

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#35353 #11958073