Subgroups — C₅×#34296 #11957016

Order 1280.

2612 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#551	C₂	1	1	yes	maximal, characteristic
2	C₅×#2373	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2373	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2368	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2367	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2358	C₂	1	1	yes	maximal, characteristic
11	C₅×#2352	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2349	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2343	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2343	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2342	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2342	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2337	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2329	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2322	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₅×#120	C₂	1	1	yes	maximal, characteristic
26	C₅×#2296	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₅×#385	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅×#2275	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅×#2274	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic
33	C₅×#551	C₄	1	16	yes	complemented
34	C₂×C₅×#126	C₂²	1	1	yes	characteristic
35	C₂×C₅×#126	C₂²	1	1	yes	characteristic
36	C₂×C₅×#124	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₅×#120	C₂²	1	1	yes	characteristic
43	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
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×C₅×#117	C₂²	1	1	yes	characteristic
52	C₂×C₅×#117	C₂²	1	1	yes	characteristic
53	C₂×C₅×#117	C₂²	1	1	yes	characteristic
54	C₂×C₅×#117	C₂²	1	1	yes	characteristic
55	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
63	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
64	C₅×#391	C₂²	1	1	yes	characteristic, complemented
65	C₅×#391	C₂²	1	1	yes	characteristic, complemented
66	C₅×#391	C₂²	1	1	yes	characteristic, complemented
67	C₅×#390	C₂²	1	1	yes	characteristic
68	C₅×#389	C₂²	1	1	yes	characteristic, complemented
69	C₅×#389	C₂²	1	1	yes	characteristic, complemented
70	C₅×#389	C₂²	1	1	yes	characteristic, complemented
71	C₅×#389	C₂²	1	1	yes	characteristic, complemented
72	C₅×#389	C₂²	1	1	yes	characteristic, complemented
73	C₅×#389	C₂²	1	1	yes	characteristic, complemented
74	C₅×#389	C₂²	1	1	yes	characteristic, complemented
75	C₅×#389	C₂²	1	1	yes	characteristic, complemented
76	C₅×#388	C₂²	1	1	yes	characteristic
77	C₅×#388	C₂²	1	1	yes	characteristic
78	C₅×#388	C₂²	1	1	yes	characteristic
79	C₅×#388	C₂²	1	1	yes	characteristic
80	C₅×#388	C₂²	1	1	yes	characteristic
81	C₅×#388	C₂²	1	1	yes	characteristic
82	C₅×#388	C₂²	1	1	yes	characteristic
83	C₅×#388	C₂²	1	1	yes	characteristic
84	C₅×#388	C₂²	1	1	yes	characteristic
85	C₅×#388	C₂²	1	1	yes	characteristic
86	C₅×#388	C₂²	1	1	yes	characteristic, complemented
87	C₅×#388	C₂²	1	1	yes	characteristic, complemented
88	C₅×#388	C₂²	1	1	yes	characteristic, complemented
89	C₅×#388	C₂²	1	1	yes	characteristic, complemented
90	C₅×#388	C₂²	1	1	yes	characteristic, complemented
91	C₅×#388	C₂²	1	1	yes	characteristic, complemented
92	C₅×#387	C₂²	1	1	yes	characteristic, complemented
93	C₅×#387	C₂²	1	1	yes	characteristic, complemented
94	C₅×#387	C₂²	1	1	yes	characteristic, complemented
95	C₅×#387	C₂²	1	1	yes	characteristic, complemented
96	C₅×#387	C₂²	1	1	yes	characteristic, complemented
97	C₅×#387	C₂²	1	1	yes	characteristic, complemented
98	C₅×#387	C₂²	1	1	yes	characteristic, complemented
99	C₅×#387	C₂²	1	1	yes	characteristic, complemented
100	C₅×#387	C₂²	1	1	yes	characteristic, complemented
101	C₅×#387	C₂²	1	1	yes	characteristic, complemented
102	C₅×#387	C₂²	1	1	yes	characteristic, complemented
103	C₅×#387	C₂²	1	1	yes	characteristic, complemented
104	C₅×#387	C₂²	1	1	yes	characteristic, complemented
105	C₅×#387	C₂²	1	1	yes	characteristic, complemented
106	C₅×#387	C₂²	1	1	yes	characteristic, complemented
107	C₅×#387	C₂²	1	1	yes	characteristic, complemented
108	C₅×#386	C₂²	1	1	yes	characteristic
109	C₅×#386	C₂²	1	1	yes	characteristic
110	C₅×#386	C₂²	1	1	yes	characteristic
111	C₅×#386	C₂²	1	1	yes	characteristic
112	C₅×#386	C₂²	1	1	yes	characteristic
113	C₅×#386	C₂²	1	1	yes	characteristic
114	C₅×#385	C₂²	1	1	yes	characteristic
115	C₅×#385	C₂²	1	1	yes	characteristic
116	C₅×#385	C₂²	1	1	yes	characteristic
117	C₅×#385	C₂²	1	1	yes	characteristic
118	C₅×#385	C₂²	1	1	yes	characteristic
119	C₅×#385	C₂²	1	1	yes	characteristic
120	C₅×#385	C₂²	1	1	yes	characteristic
121	C₅×#385	C₂²	1	1	yes	characteristic
122	C₅×#385	C₂²	1	1	yes	characteristic
123	C₅×#385	C₂²	1	1	yes	characteristic
124	C₅×#385	C₂²	1	1	yes	characteristic
125	C₅×#385	C₂²	1	1	yes	characteristic
126	C₅×#385	C₂²	1	1	yes	characteristic
127	C₅×#385	C₂²	1	1	yes	characteristic
128	C₅×#385	C₂²	1	1	yes	characteristic
129	C₅×#385	C₂²	1	1	yes	characteristic
130	C₅×#385	C₂²	1	1	yes	characteristic
131	C₅×#385	C₂²	1	1	yes	characteristic, complemented
132	C₅×#385	C₂²	1	1	yes	characteristic, complemented
133	C₅×#385	C₂²	1	1	yes	characteristic, complemented
134	C₅×#383	C₂²	1	1	yes	characteristic, complemented
135	C₅×#382	C₂²	1	1	yes	characteristic, complemented
136	C₅×#382	C₂²	1	1	yes	characteristic, complemented
137	C₅×#381	C₂²	1	1	yes	characteristic
138	C₅×#381	C₂²	1	1	yes	characteristic
139	C₅×#380	C₂²	1	1	yes	characteristic
140	C₅×#380	C₂²	1	1	yes	characteristic
141	C₅×#380	C₂²	1	1	yes	characteristic, complemented
142	C₅×#379	C₂²	1	1	yes	characteristic
143	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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, complemented
178	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₅×#376	C₂²	1	1	yes	characteristic, complemented
182	C₅×#376	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₅×#95	C₂²	1	1	yes	characteristic
184	C₂×C₅×#95	C₂²	1	1	yes	characteristic
185	C₂×C₅×#95	C₂²	1	1	yes	characteristic
186	C₂×C₅×#95	C₂²	1	1	yes	characteristic
187	C₂×C₅×#95	C₂²	1	1	yes	characteristic, complemented
188	#34296	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
189	C₂⁵×C₅	C₂³	1	1	yes	characteristic
190	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅	—	2	4	no	—
195	C₂³×C₄×C₅	—	4	2	no	—
196	C₂³×C₄×C₅	—	4	2	no	—
197	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
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	C₅×#126	C₂×C₄	1	8	yes	complemented
215	C₅×#126	C₂×C₄	1	8	yes	complemented
216	C₅×#124	C₂×C₄	1	8	yes	complemented
217	C₅×#123	C₂×C₄	1	8	yes	complemented
218	C₅×#123	C₂×C₄	1	8	yes	complemented
219	C₅×#123	C₂×C₄	1	8	yes	complemented
220	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
221	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
222	C₅×#120	C₂×C₄	1	8	yes	—
223	C₄×C₅×Q₈	—	4	2	no	—
224	C₄×C₅×D₄	—	2	4	no	—
225	C₄×C₅×D₄	—	2	4	no	—
226	C₄×C₅×D₄	—	4	2	no	—
227	C₄×C₅×D₄	—	4	2	no	—
228	C₄×C₅×D₄	—	4	2	no	—
229	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
230	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
231	C₅×#117	—	2	4	no	—
232	C₅×#117	—	4	2	no	—
233	C₅×#117	—	4	2	no	—
234	C₅×#117	C₂×C₄	1	8	yes	complemented
235	C₅×#117	C₂×C₄	1	8	yes	complemented
236	C₂×C₅×C₄⋊C₄	—	2	4	no	—
237	C₂×C₅×C₄⋊C₄	—	4	2	no	—
238	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
269	C₂×C₅×C₂²⋊C₄	—	4	2	no	—
270	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
271	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
272	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₅	—	4	2	no	—
307	C₂×C₄²×C₅	—	4	2	no	—
308	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
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	C₅×#95	C₂³	1	1	yes	characteristic
334	C₅×#95	C₂³	1	1	yes	characteristic
335	C₅×#95	C₂³	1	1	yes	characteristic
336	C₅×#95	C₂³	1	1	yes	characteristic
337	C₅×#95	C₂³	1	1	yes	characteristic
338	C₅×#95	C₂³	1	1	yes	characteristic
339	C₅×#95	C₂³	1	1	yes	characteristic
340	C₅×#95	C₂³	1	1	yes	characteristic
341	C₅×#95	C₂³	1	1	yes	characteristic
342	C₅×#95	C₂³	1	1	yes	characteristic
343	C₅×#95	C₂³	1	1	yes	characteristic
344	C₅×#95	C₂³	1	1	yes	characteristic
345	C₅×#95	C₂³	1	1	yes	characteristic
346	C₅×#95	C₂³	1	1	yes	characteristic
347	C₅×#95	C₂³	1	1	yes	characteristic
348	C₅×#95	C₂³	1	1	yes	characteristic
349	C₅×#95	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	C₂×#551	C₂×C₅	1	1	yes	characteristic
378	#2373	C₂×C₅	1	1	yes	characteristic, complemented
379	#2373	C₂×C₅	1	1	yes	characteristic, complemented
380	#2368	C₂×C₅	1	1	yes	characteristic, complemented
381	#2367	C₂×C₅	1	1	yes	characteristic, complemented
382	#2360	C₂×C₅	1	1	yes	characteristic, complemented
383	#2359	C₂×C₅	1	1	yes	characteristic, complemented
384	#2359	C₂×C₅	1	1	yes	characteristic, complemented
385	#2359	C₂×C₅	1	1	yes	characteristic, complemented
386	#2358	C₂×C₅	1	1	yes	characteristic
387	#2352	C₂×C₅	1	1	yes	characteristic, complemented
388	#2349	C₂×C₅	1	1	yes	characteristic, complemented
389	#2343	C₂×C₅	1	1	yes	characteristic, complemented
390	#2343	C₂×C₅	1	1	yes	characteristic, complemented
391	#2342	C₂×C₅	1	1	yes	characteristic, complemented
392	#2342	C₂×C₅	1	1	yes	characteristic, complemented
393	#2337	C₂×C₅	1	1	yes	characteristic, complemented
394	#2335	C₂×C₅	1	1	yes	characteristic, complemented
395	#2334	C₂×C₅	1	1	yes	characteristic, complemented
396	#2334	C₂×C₅	1	1	yes	characteristic, complemented
397	#2329	C₂×C₅	1	1	yes	characteristic, complemented
398	#2322	C₂×C₅	1	1	yes	characteristic, complemented
399	C₄×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
400	C₄×#123	C₂×C₅	1	1	yes	characteristic, complemented
401	C₄×#120	C₂×C₅	1	1	yes	characteristic
402	#2296	C₂×C₅	1	1	yes	characteristic, complemented
403	#2290	C₂×C₅	1	1	yes	characteristic, complemented
404	C₂×#385	C₂×C₅	1	1	yes	characteristic, complemented
405	#2275	C₂×C₅	1	1	yes	characteristic, complemented
406	#2274	C₂×C₅	1	1	yes	characteristic, complemented
407	C₂×C₄×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
408	C₂⁴×C₅	—	2	2	no	—
409	C₂⁴×C₅	—	2	2	no	—
410	C₂⁴×C₅	—	2	2	no	—
411	C₂⁴×C₅	—	2	2	no	—
412	C₂⁴×C₅	—	4	1	no	—
413	C₂⁴×C₅	—	4	1	no	—
414	C₂⁴×C₅	C₂²×C₄	1	4	yes	—
415	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
416	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
417	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
418	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
419	C₂×C₅×Q₈	—	4	1	no	—
420	C₂×C₅×Q₈	—	4	1	no	—
421	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	complemented
422	C₂×C₅×D₄	—	2	2	no	—
423	C₂×C₅×D₄	—	2	2	no	—
424	C₂×C₅×D₄	—	2	2	no	—
425	C₂×C₅×D₄	—	2	2	no	—
426	C₂×C₅×D₄	—	4	1	no	—
427	C₂×C₅×D₄	—	4	1	no	—
428	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
429	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
430	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
431	C₂²×C₄×C₅	—	2	2	no	—
432	C₂²×C₄×C₅	—	2	2	no	—
433	C₂²×C₄×C₅	—	2	2	no	—
434	C₂²×C₄×C₅	—	2	2	no	—
435	C₂²×C₄×C₅	—	2	2	no	—
436	C₂²×C₄×C₅	—	2	2	no	—
437	C₂²×C₄×C₅	—	2	2	no	—
438	C₂²×C₄×C₅	—	2	2	no	—
439	C₂²×C₄×C₅	—	2	2	no	—
440	C₂²×C₄×C₅	—	2	2	no	—
441	C₂²×C₄×C₅	—	2	2	no	—
442	C₂²×C₄×C₅	—	2	2	no	—
443	C₂²×C₄×C₅	—	2	2	no	—
444	C₂²×C₄×C₅	—	2	2	no	—
445	C₂²×C₄×C₅	—	2	2	no	—
446	C₂²×C₄×C₅	—	2	2	no	—
447	C₂²×C₄×C₅	—	2	2	no	—
448	C₂²×C₄×C₅	—	2	2	no	—
449	C₂²×C₄×C₅	—	2	2	no	—
450	C₂²×C₄×C₅	—	2	2	no	—
451	C₂²×C₄×C₅	—	2	2	no	—
452	C₂²×C₄×C₅	—	2	2	no	—
453	C₂²×C₄×C₅	—	4	1	no	—
454	C₂²×C₄×C₅	—	4	1	no	—
455	C₂²×C₄×C₅	—	4	1	no	—
456	C₂²×C₄×C₅	—	4	1	no	—
457	C₂²×C₄×C₅	—	4	1	no	—
458	C₂²×C₄×C₅	—	4	1	no	—
459	C₂²×C₄×C₅	—	4	1	no	—
460	C₂²×C₄×C₅	—	4	1	no	—
461	C₂²×C₄×C₅	—	4	1	no	—
462	C₂²×C₄×C₅	—	4	1	no	—
463	C₂²×C₄×C₅	—	4	1	no	—
464	C₂²×C₄×C₅	—	4	1	no	—
465	C₂²×C₄×C₅	—	4	1	no	—
466	C₂²×C₄×C₅	—	4	1	no	—
467	C₂²×C₄×C₅	—	4	1	no	—
468	C₂²×C₄×C₅	—	4	1	no	—
469	C₂²×C₄×C₅	—	4	1	no	—
470	C₂²×C₄×C₅	—	4	1	no	—
471	C₂²×C₄×C₅	—	4	1	no	—
472	C₂²×C₄×C₅	—	4	1	no	—
473	C₂²×C₄×C₅	—	4	1	no	—
474	C₂²×C₄×C₅	—	4	1	no	—
475	C₂²×C₄×C₅	—	4	1	no	—
476	C₂²×C₄×C₅	—	4	16	no	—
477	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
478	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
479	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
480	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
481	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	complemented
482	C₂²×C₄×C₅	#41	1	4	yes	—
483	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₅×C₄⋊C₄	—	2	2	no	—
511	C₅×C₄⋊C₄	—	2	2	no	—
512	C₅×C₄⋊C₄	—	2	2	no	—
513	C₅×C₄⋊C₄	—	2	2	no	—
514	C₅×C₄⋊C₄	—	2	2	no	—
515	C₅×C₄⋊C₄	—	2	2	no	—
516	C₅×C₄⋊C₄	—	2	2	no	—
517	C₅×C₄⋊C₄	—	2	2	no	—
518	C₅×C₄⋊C₄	—	2	2	no	—
519	C₅×C₄⋊C₄	—	2	2	no	—
520	C₅×C₄⋊C₄	—	2	2	no	—
521	C₅×C₄⋊C₄	—	4	1	no	—
522	C₅×C₄⋊C₄	—	4	1	no	—
523	C₅×C₄⋊C₄	—	4	1	no	—
524	C₅×C₄⋊C₄	—	4	1	no	—
525	C₅×C₄⋊C₄	—	4	1	no	—
526	C₅×C₄⋊C₄	—	4	1	no	—
527	C₅×C₄⋊C₄	—	4	1	no	—
528	C₅×C₄⋊C₄	—	4	1	no	—
529	C₅×C₄⋊C₄	—	4	1	no	—
530	C₅×C₄⋊C₄	—	4	1	no	—
531	C₅×C₄⋊C₄	—	4	1	no	—
532	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
533	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
534	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
535	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
536	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
537	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
538	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
539	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
540	C₅×C₂²⋊C₄	—	2	2	no	—
541	C₅×C₂²⋊C₄	—	2	2	no	—
542	C₅×C₂²⋊C₄	—	2	2	no	—
543	C₅×C₂²⋊C₄	—	2	2	no	—
544	C₅×C₂²⋊C₄	—	2	2	no	—
545	C₅×C₂²⋊C₄	—	2	2	no	—
546	C₅×C₂²⋊C₄	—	2	2	no	—
547	C₅×C₂²⋊C₄	—	2	2	no	—
548	C₅×C₂²⋊C₄	—	2	2	no	—
549	C₅×C₂²⋊C₄	—	2	2	no	—
550	C₅×C₂²⋊C₄	—	2	2	no	—
551	C₅×C₂²⋊C₄	—	2	2	no	—
552	C₅×C₂²⋊C₄	—	4	1	no	—
553	C₅×C₂²⋊C₄	—	4	1	no	—
554	C₅×C₂²⋊C₄	—	4	1	no	—
555	C₅×C₂²⋊C₄	—	4	1	no	—
556	C₅×C₂²⋊C₄	—	4	1	no	—
557	C₅×C₂²⋊C₄	—	4	1	no	—
558	C₅×C₂²⋊C₄	—	4	1	no	—
559	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
560	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
561	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
562	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
563	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
564	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
565	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
566	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
567	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
568	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
569	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
570	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
571	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
572	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
573	C₅×C₂²⋊C₄	#41	1	4	yes	—
574	C₄²×C₅	—	2	2	no	—
575	C₄²×C₅	—	2	2	no	—
576	C₄²×C₅	—	2	2	no	—
577	C₄²×C₅	—	2	2	no	—
578	C₄²×C₅	—	2	2	no	—
579	C₄²×C₅	—	2	2	no	—
580	C₄²×C₅	—	4	1	no	—
581	C₄²×C₅	—	4	1	no	—
582	C₄²×C₅	—	4	1	no	—
583	C₄²×C₅	—	4	1	no	—
584	C₄²×C₅	—	4	1	no	—
585	C₄²×C₅	—	4	1	no	—
586	C₄²×C₅	—	4	1	no	—
587	C₄²×C₅	—	4	1	no	—
588	C₄²×C₅	—	4	1	no	—
589	C₄²×C₅	—	4	1	no	—
590	C₄²×C₅	—	4	1	no	—
591	C₄²×C₅	—	4	1	no	—
592	C₄²×C₅	—	4	1	no	—
593	C₄²×C₅	—	4	1	no	—
594	C₄²×C₅	—	4	1	no	—
595	C₄²×C₅	—	4	1	no	—
596	C₄²×C₅	C₂²×C₄	1	4	yes	complemented
597	C₄²×C₅	C₂²×C₄	1	4	yes	complemented
598	C₄²×C₅	C₂²×C₄	1	4	yes	complemented
599	C₂⁴×C₄	C₂²×C₅	1	1	yes	characteristic
600	#551	C₄×C₅	1	16	yes	complemented
601	C₂×#126	C₂²×C₅	1	1	yes	characteristic
602	C₂×#126	C₂²×C₅	1	1	yes	characteristic
603	C₂×#124	C₂²×C₅	1	1	yes	characteristic
604	C₂×#123	C₂²×C₅	1	1	yes	characteristic
605	C₂×#123	C₂²×C₅	1	1	yes	characteristic
606	C₂×#123	C₂²×C₅	1	1	yes	characteristic
607	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
608	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
609	C₂×#120	C₂²×C₅	1	1	yes	characteristic
610	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
611	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
612	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
613	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
614	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
615	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
616	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
617	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
618	C₂×#117	C₂²×C₅	1	1	yes	characteristic
619	C₂×#117	C₂²×C₅	1	1	yes	characteristic
620	C₂×#117	C₂²×C₅	1	1	yes	characteristic
621	C₂×#117	C₂²×C₅	1	1	yes	characteristic
622	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
623	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
624	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
625	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
626	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
627	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
628	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
629	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
630	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
631	#391	C₂²×C₅	1	1	yes	characteristic, complemented
632	#391	C₂²×C₅	1	1	yes	characteristic, complemented
633	#391	C₂²×C₅	1	1	yes	characteristic, complemented
634	#390	C₂²×C₅	1	1	yes	characteristic
635	#389	C₂²×C₅	1	1	yes	characteristic, complemented
636	#389	C₂²×C₅	1	1	yes	characteristic, complemented
637	#389	C₂²×C₅	1	1	yes	characteristic, complemented
638	#389	C₂²×C₅	1	1	yes	characteristic, complemented
639	#389	C₂²×C₅	1	1	yes	characteristic, complemented
640	#389	C₂²×C₅	1	1	yes	characteristic, complemented
641	#389	C₂²×C₅	1	1	yes	characteristic, complemented
642	#389	C₂²×C₅	1	1	yes	characteristic, complemented
643	#388	C₂²×C₅	1	1	yes	characteristic
644	#388	C₂²×C₅	1	1	yes	characteristic
645	#388	C₂²×C₅	1	1	yes	characteristic
646	#388	C₂²×C₅	1	1	yes	characteristic
647	#388	C₂²×C₅	1	1	yes	characteristic
648	#388	C₂²×C₅	1	1	yes	characteristic
649	#388	C₂²×C₅	1	1	yes	characteristic
650	#388	C₂²×C₅	1	1	yes	characteristic
651	#388	C₂²×C₅	1	1	yes	characteristic
652	#388	C₂²×C₅	1	1	yes	characteristic
653	#388	C₂²×C₅	1	1	yes	characteristic, complemented
654	#388	C₂²×C₅	1	1	yes	characteristic, complemented
655	#388	C₂²×C₅	1	1	yes	characteristic, complemented
656	#388	C₂²×C₅	1	1	yes	characteristic, complemented
657	#388	C₂²×C₅	1	1	yes	characteristic, complemented
658	#388	C₂²×C₅	1	1	yes	characteristic, complemented
659	#387	C₂²×C₅	1	1	yes	characteristic, complemented
660	#387	C₂²×C₅	1	1	yes	characteristic, complemented
661	#387	C₂²×C₅	1	1	yes	characteristic, complemented
662	#387	C₂²×C₅	1	1	yes	characteristic, complemented
663	#387	C₂²×C₅	1	1	yes	characteristic, complemented
664	#387	C₂²×C₅	1	1	yes	characteristic, complemented
665	#387	C₂²×C₅	1	1	yes	characteristic, complemented
666	#387	C₂²×C₅	1	1	yes	characteristic, complemented
667	#387	C₂²×C₅	1	1	yes	characteristic, complemented
668	#387	C₂²×C₅	1	1	yes	characteristic, complemented
669	#387	C₂²×C₅	1	1	yes	characteristic, complemented
670	#387	C₂²×C₅	1	1	yes	characteristic, complemented
671	#387	C₂²×C₅	1	1	yes	characteristic, complemented
672	#387	C₂²×C₅	1	1	yes	characteristic, complemented
673	#387	C₂²×C₅	1	1	yes	characteristic, complemented
674	#387	C₂²×C₅	1	1	yes	characteristic, complemented
675	#386	C₂²×C₅	1	1	yes	characteristic
676	#386	C₂²×C₅	1	1	yes	characteristic
677	#386	C₂²×C₅	1	1	yes	characteristic
678	#386	C₂²×C₅	1	1	yes	characteristic
679	#386	C₂²×C₅	1	1	yes	characteristic
680	#386	C₂²×C₅	1	1	yes	characteristic
681	#385	C₂²×C₅	1	1	yes	characteristic
682	#385	C₂²×C₅	1	1	yes	characteristic
683	#385	C₂²×C₅	1	1	yes	characteristic
684	#385	C₂²×C₅	1	1	yes	characteristic
685	#385	C₂²×C₅	1	1	yes	characteristic
686	#385	C₂²×C₅	1	1	yes	characteristic
687	#385	C₂²×C₅	1	1	yes	characteristic
688	#385	C₂²×C₅	1	1	yes	characteristic
689	#385	C₂²×C₅	1	1	yes	characteristic
690	#385	C₂²×C₅	1	1	yes	characteristic
691	#385	C₂²×C₅	1	1	yes	characteristic
692	#385	C₂²×C₅	1	1	yes	characteristic
693	#385	C₂²×C₅	1	1	yes	characteristic
694	#385	C₂²×C₅	1	1	yes	characteristic
695	#385	C₂²×C₅	1	1	yes	characteristic
696	#385	C₂²×C₅	1	1	yes	characteristic
697	#385	C₂²×C₅	1	1	yes	characteristic
698	#385	C₂²×C₅	1	1	yes	characteristic, complemented
699	#385	C₂²×C₅	1	1	yes	characteristic, complemented
700	#385	C₂²×C₅	1	1	yes	characteristic, complemented
701	#383	C₂²×C₅	1	1	yes	characteristic, complemented
702	#382	C₂²×C₅	1	1	yes	characteristic, complemented
703	#382	C₂²×C₅	1	1	yes	characteristic, complemented
704	#381	C₂²×C₅	1	1	yes	characteristic
705	#381	C₂²×C₅	1	1	yes	characteristic
706	#380	C₂²×C₅	1	1	yes	characteristic
707	#380	C₂²×C₅	1	1	yes	characteristic
708	#380	C₂²×C₅	1	1	yes	characteristic, complemented
709	#379	C₂²×C₅	1	1	yes	characteristic
710	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
711	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
712	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
713	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
714	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
715	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
716	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
717	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
718	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
719	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
720	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
721	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
722	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
723	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
724	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
725	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
726	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
727	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
728	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
729	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
730	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
731	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
732	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
733	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
734	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
735	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
736	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
737	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
738	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
739	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
740	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
741	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
742	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
743	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
744	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
745	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
746	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
747	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
748	#376	C₂²×C₅	1	1	yes	characteristic, complemented
749	#376	C₂²×C₅	1	1	yes	characteristic, complemented
750	C₂×#95	C₂²×C₅	1	1	yes	characteristic
751	C₂×#95	C₂²×C₅	1	1	yes	characteristic
752	C₂×#95	C₂²×C₅	1	1	yes	characteristic
753	C₂×#95	C₂²×C₅	1	1	yes	characteristic
754	C₂×#95	C₂²×C₅	1	1	yes	characteristic, complemented
755	C₂³×C₅	—	2	1	no	—
756	C₂³×C₅	—	2	1	no	—
757	C₂³×C₅	—	2	1	no	—
758	C₂³×C₅	—	2	1	no	—
759	C₂³×C₅	—	2	1	no	—
760	C₂³×C₅	—	2	1	no	—
761	C₂³×C₅	—	2	1	no	—
762	C₂³×C₅	—	2	1	no	—
763	C₂³×C₅	—	2	8	no	—
764	C₂³×C₅	—	2	8	no	—
765	C₂³×C₅	—	2	1	no	—
766	C₂³×C₅	—	2	1	no	—
767	C₂³×C₅	—	2	1	no	—
768	C₂³×C₅	—	2	1	no	—
769	C₂³×C₅	—	2	1	no	—
770	C₂³×C₅	—	2	1	no	—
771	C₂³×C₅	—	2	1	no	—
772	C₂³×C₅	—	2	1	no	—
773	C₂³×C₅	—	2	1	no	—
774	C₂³×C₅	—	2	1	no	—
775	C₂³×C₅	—	2	1	no	—
776	C₂³×C₅	—	2	1	no	—
777	C₂³×C₅	—	4	4	no	—
778	C₂³×C₅	—	4	4	no	—
779	C₂³×C₅	—	4	4	no	—
780	C₂³×C₅	—	4	4	no	—
781	C₂³×C₅	—	4	4	no	—
782	C₂³×C₅	C₂³×C₄	1	2	yes	—
783	C₂³×C₅	C₂³×C₄	1	2	yes	—
784	C₂³×C₅	C₂³×C₄	1	2	yes	—
785	C₂³×C₅	C₂³×C₄	1	2	yes	—
786	C₂³×C₅	C₂×#41	1	2	yes	—
787	C₂³×C₅	C₂×#41	1	2	yes	—
788	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
789	C₂³×C₅	2₋¹⁺⁴	1	2	yes	—
790	C₂³×C₅	C₂⁵	1	1	yes	characteristic
791	C₅×Q₈	—	4	4	no	—
792	C₅×D₄	—	2	8	no	—
793	C₅×D₄	—	2	8	no	—
794	C₅×D₄	—	4	4	no	—
795	C₂×C₄×C₅	—	2	8	no	—
796	C₂×C₄×C₅	—	2	8	no	—
797	C₂×C₄×C₅	—	2	8	no	—
798	C₂×C₄×C₅	—	2	1	no	—
799	C₂×C₄×C₅	—	2	1	no	—
800	C₂×C₄×C₅	—	2	1	no	—
801	C₂×C₄×C₅	—	2	1	no	—
802	C₂×C₄×C₅	—	2	1	no	—
803	C₂×C₄×C₅	—	2	1	no	—
804	C₂×C₄×C₅	—	2	1	no	—
805	C₂×C₄×C₅	—	2	1	no	—
806	C₂×C₄×C₅	—	2	1	no	—
807	C₂×C₄×C₅	—	2	1	no	—
808	C₂×C₄×C₅	—	2	1	no	—
809	C₂×C₄×C₅	—	2	1	no	—
810	C₂×C₄×C₅	—	2	1	no	—
811	C₂×C₄×C₅	—	2	1	no	—
812	C₂×C₄×C₅	—	2	1	no	—
813	C₂×C₄×C₅	—	2	1	no	—
814	C₂×C₄×C₅	—	2	1	no	—
815	C₂×C₄×C₅	—	2	1	no	—
816	C₂×C₄×C₅	—	2	1	no	—
817	C₂×C₄×C₅	—	2	1	no	—
818	C₂×C₄×C₅	—	2	1	no	—
819	C₂×C₄×C₅	—	2	1	no	—
820	C₂×C₄×C₅	—	2	1	no	—
821	C₂×C₄×C₅	—	2	1	no	—
822	C₂×C₄×C₅	—	2	1	no	—
823	C₂×C₄×C₅	—	2	1	no	—
824	C₂×C₄×C₅	—	2	1	no	—
825	C₂×C₄×C₅	—	2	1	no	—
826	C₂×C₄×C₅	—	2	1	no	—
827	C₂×C₄×C₅	—	2	1	no	—
828	C₂×C₄×C₅	—	2	1	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	1	no	—
850	C₂×C₄×C₅	—	2	1	no	—
851	C₂×C₄×C₅	—	2	1	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	—	4	4	no	—
864	C₂×C₄×C₅	—	4	4	no	—
865	C₂×C₄×C₅	—	4	4	no	—
866	C₂×C₄×C₅	—	4	4	no	—
867	C₂×C₄×C₅	—	4	4	no	—
868	C₂×C₄×C₅	—	4	4	no	—
869	C₂×C₄×C₅	—	4	4	no	—
870	C₂×C₄×C₅	—	4	4	no	—
871	C₂×C₄×C₅	—	4	4	no	—
872	C₂×C₄×C₅	—	4	4	no	—
873	C₂×C₄×C₅	—	8	2	no	—
874	C₂×C₄×C₅	—	8	2	no	—
875	C₂×C₄×C₅	—	8	2	no	—
876	C₂×C₄×C₅	—	8	2	no	—
877	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
878	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
879	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
880	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
881	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
882	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
883	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
884	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
885	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
886	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
887	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
888	C₂×C₄×C₅	C₂×#41	1	2	yes	—
889	C₂×C₄×C₅	C₂×#41	1	2	yes	—
890	C₂×C₄×C₅	C₂×#41	1	2	yes	—
891	C₂×C₄×C₅	C₂×#41	1	2	yes	—
892	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
893	C₂⁵	C₂³×C₅	1	1	yes	characteristic
894	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
895	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
896	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
897	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
898	C₂³×C₄	—	2	4	no	—
899	C₂³×C₄	—	4	2	no	—
900	C₂³×C₄	—	4	2	no	—
901	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
902	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
903	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
904	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
905	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
906	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
907	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
908	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
909	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
910	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
911	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
912	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
913	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
914	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
915	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
916	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
917	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
918	#126	C₂×C₄×C₅	1	8	yes	complemented
919	#126	C₂×C₄×C₅	1	8	yes	complemented
920	#124	C₂×C₄×C₅	1	8	yes	complemented
921	#123	C₂×C₄×C₅	1	8	yes	complemented
922	#123	C₂×C₄×C₅	1	8	yes	complemented
923	#123	C₂×C₄×C₅	1	8	yes	complemented
924	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
925	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
926	#120	C₂×C₄×C₅	1	8	yes	—
927	C₄×Q₈	—	4	2	no	—
928	C₄×D₄	—	2	4	no	—
929	C₄×D₄	—	2	4	no	—
930	C₄×D₄	—	4	2	no	—
931	C₄×D₄	—	4	2	no	—
932	C₄×D₄	—	4	2	no	—
933	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
934	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
935	#117	—	2	4	no	—
936	#117	—	4	2	no	—
937	#117	—	4	2	no	—
938	#117	C₂×C₄×C₅	1	8	yes	complemented
939	#117	C₂×C₄×C₅	1	8	yes	complemented
940	C₂×C₄⋊C₄	—	2	4	no	—
941	C₂×C₄⋊C₄	—	4	2	no	—
942	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	—	2	4	no	—
973	C₂×C₂²⋊C₄	—	4	2	no	—
974	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
975	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
976	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1010	C₂×C₄²	—	4	2	no	—
1011	C₂×C₄²	—	4	2	no	—
1012	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1013	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1014	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1015	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1016	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1017	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1018	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1019	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1020	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1021	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1022	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1023	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1024	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1025	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1026	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1027	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1028	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1029	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1030	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1031	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1032	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1033	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1034	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1035	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1036	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1037	#95	C₂³×C₅	1	1	yes	characteristic
1038	#95	C₂³×C₅	1	1	yes	characteristic
1039	#95	C₂³×C₅	1	1	yes	characteristic
1040	#95	C₂³×C₅	1	1	yes	characteristic
1041	#95	C₂³×C₅	1	1	yes	characteristic
1042	#95	C₂³×C₅	1	1	yes	characteristic
1043	#95	C₂³×C₅	1	1	yes	characteristic
1044	#95	C₂³×C₅	1	1	yes	characteristic
1045	#95	C₂³×C₅	1	1	yes	characteristic
1046	#95	C₂³×C₅	1	1	yes	characteristic
1047	#95	C₂³×C₅	1	1	yes	characteristic
1048	#95	C₂³×C₅	1	1	yes	characteristic
1049	#95	C₂³×C₅	1	1	yes	characteristic
1050	#95	C₂³×C₅	1	1	yes	characteristic
1051	#95	C₂³×C₅	1	1	yes	characteristic
1052	#95	C₂³×C₅	1	1	yes	characteristic
1053	#95	C₂³×C₅	1	1	yes	characteristic
1054	#95	C₂³×C₅	1	1	yes	characteristic
1055	#95	C₂³×C₅	1	1	yes	characteristic
1056	#95	C₂³×C₅	1	1	yes	characteristic
1057	#95	C₂³×C₅	1	1	yes	characteristic
1058	#95	C₂³×C₅	1	1	yes	characteristic
1059	#95	C₂³×C₅	1	1	yes	characteristic
1060	#95	C₂³×C₅	1	1	yes	characteristic
1061	#95	C₂³×C₅	1	1	yes	characteristic
1062	#95	C₂³×C₅	1	1	yes	characteristic
1063	#95	C₂³×C₅	1	1	yes	characteristic
1064	#95	C₂³×C₅	1	1	yes	characteristic
1065	#95	C₂³×C₅	1	1	yes	characteristic
1066	#95	C₂³×C₅	1	1	yes	characteristic
1067	#95	C₂³×C₅	1	1	yes	characteristic
1068	#95	C₂³×C₅	1	1	yes	characteristic
1069	#95	C₂³×C₅	1	1	yes	characteristic
1070	#95	C₂³×C₅	1	1	yes	characteristic
1071	#95	C₂³×C₅	1	1	yes	characteristic
1072	#95	C₂³×C₅	1	1	yes	characteristic
1073	#95	C₂³×C₅	1	1	yes	characteristic
1074	#95	C₂³×C₅	1	1	yes	characteristic
1075	#95	C₂³×C₅	1	1	yes	characteristic
1076	#95	C₂³×C₅	1	1	yes	characteristic
1077	#95	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	C₂²×C₅	—	2	2	no	—
1082	C₂²×C₅	—	2	2	no	—
1083	C₂²×C₅	—	2	2	no	—
1084	C₂²×C₅	—	2	2	no	—
1085	C₂²×C₅	—	2	2	no	—
1086	C₂²×C₅	—	2	2	no	—
1087	C₂²×C₅	—	2	2	no	—
1088	C₂²×C₅	—	2	2	no	—
1089	C₂²×C₅	—	2	2	no	—
1090	C₂²×C₅	—	2	2	no	—
1091	C₂²×C₅	—	2	2	no	—
1092	C₂²×C₅	—	2	2	no	—
1093	C₂²×C₅	—	2	2	no	—
1094	C₂²×C₅	—	2	2	no	—
1095	C₂²×C₅	—	2	2	no	—
1096	C₂²×C₅	—	2	2	no	—
1097	C₂²×C₅	—	2	2	no	—
1098	C₂²×C₅	—	2	2	no	—
1099	C₂²×C₅	—	4	16	no	—
1100	C₂²×C₅	—	4	1	no	—
1101	C₂²×C₅	—	4	1	no	—
1102	C₂²×C₅	—	4	1	no	—
1103	C₂²×C₅	—	4	1	no	—
1104	C₂²×C₅	—	4	1	no	—
1105	C₂²×C₅	—	4	1	no	—
1106	C₂²×C₅	—	4	1	no	—
1107	C₂²×C₅	—	4	1	no	—
1108	C₂²×C₅	C₄×#41	1	4	yes	—
1109	C₂²×C₅	#520	1	4	yes	—
1110	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1111	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1112	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1113	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1114	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1115	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1116	C₂²×C₅	#585	1	1	yes	characteristic
1117	C₄×C₅	—	2	2	no	—
1118	C₄×C₅	—	2	2	no	—
1119	C₄×C₅	—	2	2	no	—
1120	C₄×C₅	—	2	2	no	—
1121	C₄×C₅	—	2	2	no	—
1122	C₄×C₅	—	2	2	no	—
1123	C₄×C₅	—	2	2	no	—
1124	C₄×C₅	—	2	2	no	—
1125	C₄×C₅	—	2	2	no	—
1126	C₄×C₅	—	2	2	no	—
1127	C₄×C₅	—	2	2	no	—
1128	C₄×C₅	—	2	2	no	—
1129	C₄×C₅	—	2	2	no	—
1130	C₄×C₅	—	2	2	no	—
1131	C₄×C₅	—	2	2	no	—
1132	C₄×C₅	—	2	2	no	—
1133	C₄×C₅	—	4	1	no	—
1134	C₄×C₅	—	4	1	no	—
1135	C₄×C₅	—	4	1	no	—
1136	C₄×C₅	—	4	1	no	—
1137	C₄×C₅	—	4	1	no	—
1138	C₄×C₅	—	4	1	no	—
1139	C₄×C₅	—	4	1	no	—
1140	C₄×C₅	—	4	1	no	—
1141	C₄×C₅	—	4	1	no	—
1142	C₄×C₅	—	4	1	no	—
1143	C₄×C₅	—	4	1	no	—
1144	C₂⁴	—	2	2	no	—
1145	C₂⁴	—	2	2	no	—
1146	C₂⁴	—	2	2	no	—
1147	C₂⁴	—	2	2	no	—
1148	C₂⁴	—	4	1	no	—
1149	C₂⁴	—	4	1	no	—
1150	C₂⁴	C₂²×C₄×C₅	1	4	yes	—
1151	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1152	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1153	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1154	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1155	C₂×Q₈	—	4	1	no	—
1156	C₂×Q₈	—	4	1	no	—
1157	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	complemented
1158	C₂×D₄	—	2	2	no	—
1159	C₂×D₄	—	2	2	no	—
1160	C₂×D₄	—	2	2	no	—
1161	C₂×D₄	—	2	2	no	—
1162	C₂×D₄	—	4	1	no	—
1163	C₂×D₄	—	4	1	no	—
1164	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1165	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1166	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1167	C₂²×C₄	—	2	2	no	—
1168	C₂²×C₄	—	2	2	no	—
1169	C₂²×C₄	—	2	2	no	—
1170	C₂²×C₄	—	2	2	no	—
1171	C₂²×C₄	—	2	2	no	—
1172	C₂²×C₄	—	2	2	no	—
1173	C₂²×C₄	—	2	2	no	—
1174	C₂²×C₄	—	2	2	no	—
1175	C₂²×C₄	—	2	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	2	2	no	—
1184	C₂²×C₄	—	2	2	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	2	2	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	4	1	no	—
1190	C₂²×C₄	—	4	1	no	—
1191	C₂²×C₄	—	4	1	no	—
1192	C₂²×C₄	—	4	1	no	—
1193	C₂²×C₄	—	4	1	no	—
1194	C₂²×C₄	—	4	1	no	—
1195	C₂²×C₄	—	4	1	no	—
1196	C₂²×C₄	—	4	1	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	4	16	no	—
1213	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1214	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1215	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1216	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1217	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	complemented
1218	C₂²×C₄	C₅×#41	1	4	yes	—
1219	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1224	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1227	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1228	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1229	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1230	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	2	2	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	4	1	no	—
1263	C₄⋊C₄	—	4	1	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1269	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1270	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1271	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1272	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1273	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1274	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1275	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1276	C₂²⋊C₄	—	2	2	no	—
1277	C₂²⋊C₄	—	2	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1296	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1297	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1298	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1299	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1300	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1301	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1302	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1303	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1304	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1305	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1306	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1307	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1308	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1309	C₂²⋊C₄	C₅×#41	1	4	yes	—
1310	C₄²	—	2	2	no	—
1311	C₄²	—	2	2	no	—
1312	C₄²	—	2	2	no	—
1313	C₄²	—	2	2	no	—
1314	C₄²	—	2	2	no	—
1315	C₄²	—	2	2	no	—
1316	C₄²	—	4	1	no	—
1317	C₄²	—	4	1	no	—
1318	C₄²	—	4	1	no	—
1319	C₄²	—	4	1	no	—
1320	C₄²	—	4	1	no	—
1321	C₄²	—	4	1	no	—
1322	C₄²	—	4	1	no	—
1323	C₄²	—	4	1	no	—
1324	C₄²	—	4	1	no	—
1325	C₄²	—	4	1	no	—
1326	C₄²	—	4	1	no	—
1327	C₄²	—	4	1	no	—
1328	C₄²	—	4	1	no	—
1329	C₄²	—	4	1	no	—
1330	C₄²	—	4	1	no	—
1331	C₄²	—	4	1	no	—
1332	C₄²	C₂²×C₄×C₅	1	4	yes	complemented
1333	C₄²	C₂²×C₄×C₅	1	4	yes	complemented
1334	C₄²	C₂²×C₄×C₅	1	4	yes	complemented
1335	C₂×C₅	—	2	4	no	—
1336	C₂×C₅	—	2	4	no	—
1337	C₂×C₅	—	4	2	no	—
1338	C₂×C₅	—	4	2	no	—
1339	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1340	C₂×C₅	C₂×#520	1	1	yes	characteristic
1341	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1342	C₂×C₅	#3490	1	1	yes	characteristic
1343	C₂×C₅	#3495	1	1	yes	characteristic
1344	C₂×C₅	#3513	1	1	yes	characteristic
1345	C₂×C₅	#3520	1	1	yes	characteristic
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	8	no	—
1355	C₂³	—	2	8	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	4	4	no	—
1369	C₂³	—	4	4	no	—
1370	C₂³	—	4	4	no	—
1371	C₂³	—	4	4	no	—
1372	C₂³	—	4	4	no	—
1373	C₂³	C₂³×C₄×C₅	1	2	yes	—
1374	C₂³	C₂³×C₄×C₅	1	2	yes	—
1375	C₂³	C₂³×C₄×C₅	1	2	yes	—
1376	C₂³	C₂³×C₄×C₅	1	2	yes	—
1377	C₂³	C₂×C₅×#41	1	2	yes	—
1378	C₂³	C₂×C₅×#41	1	2	yes	—
1379	C₂³	C₅×H(5,𝔽₂)	1	2	yes	—
1380	C₂³	C₅×2₋¹⁺⁴	1	2	yes	—
1381	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1382	Q₈	—	4	4	no	—
1383	D₄	—	2	8	no	—
1384	D₄	—	2	8	no	—
1385	D₄	—	4	4	no	—
1386	C₂×C₄	—	2	8	no	—
1387	C₂×C₄	—	2	8	no	—
1388	C₂×C₄	—	2	8	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	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	—	4	4	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	4	4	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	4	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	8	2	no	—
1465	C₂×C₄	—	8	2	no	—
1466	C₂×C₄	—	8	2	no	—
1467	C₂×C₄	—	8	2	no	—
1468	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1469	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1470	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1471	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1472	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1473	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1474	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1475	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1476	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1477	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1478	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1479	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1480	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1481	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1482	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1483	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1484	C₅	#34296	1	1	yes	characteristic, direct product factor, Sylow
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	4	16	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	C₄×C₅×#41	1	4	yes	—
1513	C₂²	C₅×#520	1	4	yes	—
1514	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1515	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1516	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1517	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1518	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1519	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1520	C₂²	C₅×#585	1	1	yes	characteristic
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₂	—	2	4	no	—
1549	C₂	—	2	4	no	—
1550	C₂	—	4	2	no	—
1551	C₂	—	4	2	no	—
1552	C₂	C₂×C₄×C₅×#41	1	1	yes	characteristic
1553	C₂	C₂×C₅×#520	1	1	yes	characteristic
1554	C₂	C₄×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1555	C₂	C₅×#3490	1	1	yes	characteristic
1556	C₂	C₅×#3495	1	1	yes	characteristic
1557	C₂	C₅×#3513	1	1	yes	characteristic
1558	C₂	C₅×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₅
Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₂×C₅×#120	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₅×#2373	C₂	semidirect
3. C₅×#2373	C₂	semidirect
4. C₅×#2368	C₂	semidirect
5. C₅×#2367	C₂	semidirect
6. C₅×#2360	C₂	semidirect
7. C₅×#2359	C₂	semidirect
8. C₅×#2359	C₂	semidirect
9. C₅×#2359	C₂	semidirect
11. C₅×#2352	C₂	semidirect
12. C₅×#2349	C₂	semidirect
13. C₅×#2343	C₂	semidirect
14. C₅×#2343	C₂	semidirect
15. C₅×#2342	C₂	semidirect
16. C₅×#2342	C₂	semidirect
17. C₅×#2337	C₂	semidirect
18. C₅×#2335	C₂	semidirect
19. C₅×#2334	C₂	semidirect
20. C₅×#2334	C₂	semidirect
21. C₅×#2329	C₂	semidirect
22. C₅×#2322	C₂	semidirect
23. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₅×#123	C₂	semidirect
26. C₅×#2296	C₂	semidirect
27. C₅×#2290	C₂	semidirect
28. C₂×C₅×#385	C₂	semidirect
29. C₅×#2275	C₂	semidirect
30. C₅×#2274	C₂	semidirect
31. C₂×C₄×C₅×C₂²⋊C₄	C₂	semidirect
33. C₅×#551	C₄	semidirect
43. C₂×C₄×C₅×Q₈	C₂²	semidirect
55. C₂×C₅×#117	C₂²	semidirect
64. C₅×#391	C₂²	semidirect
65. C₅×#391	C₂²	semidirect
66. C₅×#391	C₂²	semidirect
68. C₅×#389	C₂²	semidirect
69. C₅×#389	C₂²	semidirect
70. C₅×#389	C₂²	semidirect
71. C₅×#389	C₂²	semidirect
72. C₅×#389	C₂²	semidirect
73. C₅×#389	C₂²	semidirect
74. C₅×#389	C₂²	semidirect
75. C₅×#389	C₂²	semidirect
86. C₅×#388	C₂²	semidirect
87. C₅×#388	C₂²	semidirect
88. C₅×#388	C₂²	semidirect
89. C₅×#388	C₂²	semidirect
90. C₅×#388	C₂²	semidirect
91. C₅×#388	C₂²	semidirect
92. C₅×#387	C₂²	semidirect
93. C₅×#387	C₂²	semidirect
94. C₅×#387	C₂²	semidirect
95. C₅×#387	C₂²	semidirect
96. C₅×#387	C₂²	semidirect
97. C₅×#387	C₂²	semidirect
98. C₅×#387	C₂²	semidirect
99. C₅×#387	C₂²	semidirect
100. C₅×#387	C₂²	semidirect
101. C₅×#387	C₂²	semidirect
102. C₅×#387	C₂²	semidirect
103. C₅×#387	C₂²	semidirect
104. C₅×#387	C₂²	semidirect
105. C₅×#387	C₂²	semidirect
106. C₅×#387	C₂²	semidirect
107. C₅×#387	C₂²	semidirect
131. C₅×#385	C₂²	semidirect
132. C₅×#385	C₂²	semidirect
133. C₅×#385	C₂²	semidirect
134. C₅×#383	C₂²	semidirect
135. C₅×#382	C₂²	semidirect
136. C₅×#382	C₂²	semidirect
141. C₅×#380	C₂²	semidirect
143. C₄×C₅×C₄⋊C₄	C₂²	semidirect
144. C₄×C₅×C₄⋊C₄	C₂²	semidirect
145. C₄×C₅×C₄⋊C₄	C₂²	semidirect
146. C₄×C₅×C₄⋊C₄	C₂²	semidirect
147. C₄×C₅×C₄⋊C₄	C₂²	semidirect
148. C₄×C₅×C₄⋊C₄	C₂²	semidirect
149. C₄×C₅×C₄⋊C₄	C₂²	semidirect
150. C₄×C₅×C₄⋊C₄	C₂²	semidirect
151. C₄×C₅×C₄⋊C₄	C₂²	semidirect
152. C₄×C₅×C₄⋊C₄	C₂²	semidirect
153. C₄×C₅×C₄⋊C₄	C₂²	semidirect
154. C₄×C₅×C₄⋊C₄	C₂²	semidirect
155. C₄×C₅×C₄⋊C₄	C₂²	semidirect
156. C₄×C₅×C₄⋊C₄	C₂²	semidirect
157. C₄×C₅×C₄⋊C₄	C₂²	semidirect
177. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
178. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
179. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
180. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
181. C₅×#376	C₂²	semidirect
182. C₅×#376	C₂²	semidirect
187. C₂×C₅×#95	C₂²	semidirect
188. #34296	C₅	direct (N × H)
214. C₅×#126	C₂×C₄	semidirect
215. C₅×#126	C₂×C₄	semidirect
216. C₅×#124	C₂×C₄	semidirect
217. C₅×#123	C₂×C₄	semidirect
218. C₅×#123	C₂×C₄	semidirect
219. C₅×#123	C₂×C₄	semidirect
220. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
221. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
229. C₄×C₅×D₄	C₂×C₄	semidirect
230. C₄×C₅×D₄	C₂×C₄	semidirect
234. C₅×#117	C₂×C₄	semidirect
235. C₅×#117	C₂×C₄	semidirect
270. C₂×C₅×C₂²⋊C₄	C₂×C₄	semidirect
271. C₂×C₅×C₂²⋊C₄	C₂×C₄	semidirect
378. #2373	C₂×C₅	semidirect
379. #2373	C₂×C₅	semidirect
380. #2368	C₂×C₅	semidirect
381. #2367	C₂×C₅	semidirect
382. #2360	C₂×C₅	semidirect
383. #2359	C₂×C₅	semidirect
384. #2359	C₂×C₅	semidirect
385. #2359	C₂×C₅	semidirect
387. #2352	C₂×C₅	semidirect
388. #2349	C₂×C₅	semidirect
389. #2343	C₂×C₅	semidirect
390. #2343	C₂×C₅	semidirect
391. #2342	C₂×C₅	semidirect
392. #2342	C₂×C₅	semidirect
393. #2337	C₂×C₅	semidirect
394. #2335	C₂×C₅	semidirect
395. #2334	C₂×C₅	semidirect
396. #2334	C₂×C₅	semidirect
397. #2329	C₂×C₅	semidirect
398. #2322	C₂×C₅	semidirect
399. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
400. C₄×#123	C₂×C₅	semidirect
402. #2296	C₂×C₅	semidirect
403. #2290	C₂×C₅	semidirect
404. C₂×#385	C₂×C₅	semidirect
405. #2275	C₂×C₅	semidirect
406. #2274	C₂×C₅	semidirect
407. C₂×C₄×C₂²⋊C₄	C₂×C₅	semidirect
421. C₂×C₅×Q₈	C₂²×C₄	semidirect
481. C₂²×C₄×C₅	C₂²×C₄	semidirect
532. C₅×C₄⋊C₄	C₂²×C₄	semidirect
533. C₅×C₄⋊C₄	C₂²×C₄	semidirect
534. C₅×C₄⋊C₄	C₂²×C₄	semidirect
535. C₅×C₄⋊C₄	C₂²×C₄	semidirect
536. C₅×C₄⋊C₄	C₂²×C₄	semidirect
537. C₅×C₄⋊C₄	C₂²×C₄	semidirect
538. C₅×C₄⋊C₄	C₂²×C₄	semidirect
539. C₅×C₄⋊C₄	C₂²×C₄	semidirect
570. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
571. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
572. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
596. C₄²×C₅	C₂²×C₄	semidirect
597. C₄²×C₅	C₂²×C₄	semidirect
598. C₄²×C₅	C₂²×C₄	semidirect
600. #551	C₄×C₅	semidirect
610. C₂×C₄×Q₈	C₂²×C₅	semidirect
622. C₂×#117	C₂²×C₅	semidirect
631. #391	C₂²×C₅	semidirect
632. #391	C₂²×C₅	semidirect
633. #391	C₂²×C₅	semidirect
635. #389	C₂²×C₅	semidirect
636. #389	C₂²×C₅	semidirect
637. #389	C₂²×C₅	semidirect
638. #389	C₂²×C₅	semidirect
639. #389	C₂²×C₅	semidirect
640. #389	C₂²×C₅	semidirect
641. #389	C₂²×C₅	semidirect
642. #389	C₂²×C₅	semidirect
653. #388	C₂²×C₅	semidirect
654. #388	C₂²×C₅	semidirect
655. #388	C₂²×C₅	semidirect
656. #388	C₂²×C₅	semidirect
657. #388	C₂²×C₅	semidirect
658. #388	C₂²×C₅	semidirect
659. #387	C₂²×C₅	semidirect
660. #387	C₂²×C₅	semidirect
661. #387	C₂²×C₅	semidirect
662. #387	C₂²×C₅	semidirect
663. #387	C₂²×C₅	semidirect
664. #387	C₂²×C₅	semidirect
665. #387	C₂²×C₅	semidirect
666. #387	C₂²×C₅	semidirect
667. #387	C₂²×C₅	semidirect
668. #387	C₂²×C₅	semidirect
669. #387	C₂²×C₅	semidirect
670. #387	C₂²×C₅	semidirect
671. #387	C₂²×C₅	semidirect
672. #387	C₂²×C₅	semidirect
673. #387	C₂²×C₅	semidirect
674. #387	C₂²×C₅	semidirect
698. #385	C₂²×C₅	semidirect
699. #385	C₂²×C₅	semidirect
700. #385	C₂²×C₅	semidirect
701. #383	C₂²×C₅	semidirect
702. #382	C₂²×C₅	semidirect
703. #382	C₂²×C₅	semidirect
708. #380	C₂²×C₅	semidirect
710. C₄×C₄⋊C₄	C₂²×C₅	semidirect
711. C₄×C₄⋊C₄	C₂²×C₅	semidirect
712. C₄×C₄⋊C₄	C₂²×C₅	semidirect
713. C₄×C₄⋊C₄	C₂²×C₅	semidirect
714. C₄×C₄⋊C₄	C₂²×C₅	semidirect
715. C₄×C₄⋊C₄	C₂²×C₅	semidirect
716. C₄×C₄⋊C₄	C₂²×C₅	semidirect
717. C₄×C₄⋊C₄	C₂²×C₅	semidirect
718. C₄×C₄⋊C₄	C₂²×C₅	semidirect
719. C₄×C₄⋊C₄	C₂²×C₅	semidirect
720. C₄×C₄⋊C₄	C₂²×C₅	semidirect
721. C₄×C₄⋊C₄	C₂²×C₅	semidirect
722. C₄×C₄⋊C₄	C₂²×C₅	semidirect
723. C₄×C₄⋊C₄	C₂²×C₅	semidirect
724. C₄×C₄⋊C₄	C₂²×C₅	semidirect
744. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
745. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
746. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
747. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
748. #376	C₂²×C₅	semidirect
749. #376	C₂²×C₅	semidirect
754. C₂×#95	C₂²×C₅	semidirect
918. #126	C₂×C₄×C₅	semidirect
919. #126	C₂×C₄×C₅	semidirect
920. #124	C₂×C₄×C₅	semidirect
921. #123	C₂×C₄×C₅	semidirect
922. #123	C₂×C₄×C₅	semidirect
923. #123	C₂×C₄×C₅	semidirect
924. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
925. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
933. C₄×D₄	C₂×C₄×C₅	semidirect
934. C₄×D₄	C₂×C₄×C₅	semidirect
938. #117	C₂×C₄×C₅	semidirect
939. #117	C₂×C₄×C₅	semidirect
974. C₂×C₂²⋊C₄	C₂×C₄×C₅	semidirect
975. C₂×C₂²⋊C₄	C₂×C₄×C₅	semidirect
1157. C₂×Q₈	C₂²×C₄×C₅	semidirect
1217. C₂²×C₄	C₂²×C₄×C₅	semidirect
1268. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1269. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1270. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1271. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1272. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1273. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1274. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1275. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1306. C₂²⋊C₄	C₂²×C₄×C₅	semidirect
1307. C₂²⋊C₄	C₂²×C₄×C₅	semidirect
1308. C₂²⋊C₄	C₂²×C₄×C₅	semidirect
1332. C₄²	C₂²×C₄×C₅	semidirect
1333. C₄²	C₂²×C₄×C₅	semidirect
1334. C₄²	C₂²×C₄×C₅	semidirect
1484. C₅	#34296	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×#551	2
C₅×#2373	2
C₅×#2368	2
C₅×#2367	2
C₅×#2360	2
C₅×#2359	2
C₅×#2358	2
C₅×#2352	2
C₅×#2349	2
C₅×#2343	2
C₅×#2342	2
C₅×#2337	2
C₅×#2335	2
C₅×#2334	2
C₅×#2329	2
C₅×#2322	2
C₄×C₅×C₂²⋊Q₈	2
C₄×C₅×#123	2
C₄×C₅×#120	2
C₅×#2296	2
C₅×#2290	2
C₂×C₅×#385	2
C₅×#2275	2
C₅×#2274	2
C₂×C₄×C₅×C₂²⋊C₄	2
#34296	5

Subgroups — C5×#34296 #11957016

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34296 #11957016