Subgroups — C₅×#34283 #11957003

Order 1280.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#538	C₂	1	1	yes	maximal, characteristic
2	C₅×#2374	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2373	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2373	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2367	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2364	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2363	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2361	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2360	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2358	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2358	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2358	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2337	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2335	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2333	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2318	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₅×#126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅×#2275	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅×#2273	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#538	C₄	1	16	yes	complemented
33	C₂×C₅×#126	C₂²	1	1	yes	characteristic
34	C₂×C₅×#126	C₂²	1	1	yes	characteristic
35	C₂×C₅×#124	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₅×#121	C₂²	1	1	yes	characteristic
41	C₂×C₅×#121	C₂²	1	1	yes	characteristic
42	C₂×C₅×#121	C₂²	1	1	yes	characteristic
43	C₂×C₅×#120	C₂²	1	1	yes	characteristic
44	C₂×C₅×#120	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
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×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
53	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₅×C₄⋊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×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
65	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
66	C₅×#391	C₂²	1	1	yes	characteristic, complemented
67	C₅×#391	C₂²	1	1	yes	characteristic, complemented
68	C₅×#391	C₂²	1	1	yes	characteristic, complemented
69	C₅×#390	C₂²	1	1	yes	characteristic
70	C₅×#390	C₂²	1	1	yes	characteristic
71	C₅×#390	C₂²	1	1	yes	characteristic
72	C₅×#390	C₂²	1	1	yes	characteristic
73	C₅×#390	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×#389	C₂²	1	1	yes	characteristic, complemented
77	C₅×#389	C₂²	1	1	yes	characteristic, complemented
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
87	C₅×#388	C₂²	1	1	yes	characteristic
88	C₅×#388	C₂²	1	1	yes	characteristic
89	C₅×#388	C₂²	1	1	yes	characteristic
90	C₅×#388	C₂²	1	1	yes	characteristic
91	C₅×#388	C₂²	1	1	yes	characteristic
92	C₅×#388	C₂²	1	1	yes	characteristic
93	C₅×#388	C₂²	1	1	yes	characteristic
94	C₅×#388	C₂²	1	1	yes	characteristic, complemented
95	C₅×#388	C₂²	1	1	yes	characteristic, complemented
96	C₅×#388	C₂²	1	1	yes	characteristic, complemented
97	C₅×#388	C₂²	1	1	yes	characteristic, complemented
98	C₅×#388	C₂²	1	1	yes	characteristic, complemented
99	C₅×#388	C₂²	1	1	yes	characteristic, complemented
100	C₅×#388	C₂²	1	1	yes	characteristic, complemented
101	C₅×#388	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×#387	C₂²	1	1	yes	characteristic, complemented
109	C₅×#387	C₂²	1	1	yes	characteristic, complemented
110	C₅×#387	C₂²	1	1	yes	characteristic, complemented
111	C₅×#387	C₂²	1	1	yes	characteristic, complemented
112	C₅×#387	C₂²	1	1	yes	characteristic, complemented
113	C₅×#387	C₂²	1	1	yes	characteristic, complemented
114	C₅×#386	C₂²	1	1	yes	characteristic
115	C₅×#386	C₂²	1	1	yes	characteristic
116	C₅×#386	C₂²	1	1	yes	characteristic
117	C₅×#386	C₂²	1	1	yes	characteristic
118	C₅×#386	C₂²	1	1	yes	characteristic
119	C₅×#386	C₂²	1	1	yes	characteristic
120	C₅×#386	C₂²	1	1	yes	characteristic
121	C₅×#386	C₂²	1	1	yes	characteristic
122	C₅×#386	C₂²	1	1	yes	characteristic
123	C₅×#386	C₂²	1	1	yes	characteristic
124	C₅×#386	C₂²	1	1	yes	characteristic
125	C₅×#386	C₂²	1	1	yes	characteristic
126	C₅×#386	C₂²	1	1	yes	characteristic, complemented
127	C₅×#386	C₂²	1	1	yes	characteristic, complemented
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
132	C₅×#385	C₂²	1	1	yes	characteristic
133	C₅×#385	C₂²	1	1	yes	characteristic
134	C₅×#385	C₂²	1	1	yes	characteristic
135	C₅×#385	C₂²	1	1	yes	characteristic
136	C₅×#385	C₂²	1	1	yes	characteristic, complemented
137	C₅×#385	C₂²	1	1	yes	characteristic, complemented
138	C₅×#383	C₂²	1	1	yes	characteristic, complemented
139	C₅×#382	C₂²	1	1	yes	characteristic, complemented
140	C₅×#381	C₂²	1	1	yes	characteristic, complemented
141	C₅×#380	C₂²	1	1	yes	characteristic, complemented
142	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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, complemented
174	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₅×#376	C₂²	1	1	yes	characteristic, complemented
183	C₅×#376	C₂²	1	1	yes	characteristic, complemented
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, complemented
187	C₄³×C₅	C₂²	1	1	yes	characteristic, complemented
188	#34283	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	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
195	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
196	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
197	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
198	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×#124	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×#121	C₂×C₄	1	8	yes	complemented
222	C₅×#121	C₂×C₄	1	8	yes	complemented
223	C₅×#121	C₂×C₄	1	8	yes	complemented
224	C₅×#120	C₂×C₄	1	8	yes	complemented
225	C₅×#120	C₂×C₄	1	8	yes	complemented
226	C₄×C₅×Q₈	—	4	2	no	—
227	C₄×C₅×D₄	—	2	4	no	—
228	C₄×C₅×D₄	—	2	4	no	—
229	C₄×C₅×D₄	—	2	4	no	—
230	C₄×C₅×D₄	—	2	4	no	—
231	C₄×C₅×D₄	—	4	2	no	—
232	C₄×C₅×D₄	—	4	2	no	—
233	C₄×C₅×D₄	—	4	2	no	—
234	C₄×C₅×D₄	—	4	2	no	—
235	C₄×C₅×D₄	—	4	2	no	—
236	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
237	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
238	C₅×#117	—	4	2	no	—
239	C₂×C₅×C₄⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	—	2	4	no	—
263	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
264	C₂×C₅×C₂²⋊C₄	—	4	2	no	—
265	C₂×C₅×C₂²⋊C₄	—	4	2	no	—
266	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
267	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×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×C₄²×C₅	—	4	2	no	—
310	C₂×C₄²×C₅	—	4	2	no	—
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	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
337	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×#538	C₂×C₅	1	1	yes	characteristic
378	#2374	C₂×C₅	1	1	yes	characteristic, complemented
379	#2373	C₂×C₅	1	1	yes	characteristic, complemented
380	#2373	C₂×C₅	1	1	yes	characteristic, complemented
381	#2372	C₂×C₅	1	1	yes	characteristic, complemented
382	#2368	C₂×C₅	1	1	yes	characteristic, complemented
383	#2367	C₂×C₅	1	1	yes	characteristic, complemented
384	#2364	C₂×C₅	1	1	yes	characteristic, complemented
385	#2364	C₂×C₅	1	1	yes	characteristic, complemented
386	#2363	C₂×C₅	1	1	yes	characteristic, complemented
387	#2361	C₂×C₅	1	1	yes	characteristic, complemented
388	#2360	C₂×C₅	1	1	yes	characteristic, complemented
389	#2359	C₂×C₅	1	1	yes	characteristic, complemented
390	#2358	C₂×C₅	1	1	yes	characteristic, complemented
391	#2358	C₂×C₅	1	1	yes	characteristic, complemented
392	#2358	C₂×C₅	1	1	yes	characteristic, complemented
393	#2358	C₂×C₅	1	1	yes	characteristic, complemented
394	#2337	C₂×C₅	1	1	yes	characteristic, complemented
395	#2335	C₂×C₅	1	1	yes	characteristic, complemented
396	#2334	C₂×C₅	1	1	yes	characteristic, complemented
397	#2333	C₂×C₅	1	1	yes	characteristic, complemented
398	#2318	C₂×C₅	1	1	yes	characteristic, complemented
399	C₄×#126	C₂×C₅	1	1	yes	characteristic, complemented
400	C₄×#124	C₂×C₅	1	1	yes	characteristic, complemented
401	C₄×#123	C₂×C₅	1	1	yes	characteristic, complemented
402	C₄×#121	C₂×C₅	1	1	yes	characteristic, complemented
403	#2290	C₂×C₅	1	1	yes	characteristic, complemented
404	C₂×#388	C₂×C₅	1	1	yes	characteristic, complemented
405	#2275	C₂×C₅	1	1	yes	characteristic, complemented
406	#2273	C₂×C₅	1	1	yes	characteristic, complemented
407	C₄²×D₄	C₂×C₅	1	1	yes	characteristic, complemented
408	C₂⁴×C₅	—	2	2	no	—
409	C₂⁴×C₅	—	2	2	no	—
410	C₂⁴×C₅	—	4	1	no	—
411	C₂⁴×C₅	—	4	1	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	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
420	C₂×C₅×Q₈	—	4	1	no	—
421	C₂×C₅×Q₈	—	4	1	no	—
422	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
427	C₂×C₅×D₄	—	4	1	no	—
428	C₂×C₅×D₄	—	4	1	no	—
429	C₂×C₅×D₄	—	4	1	no	—
430	C₂×C₅×D₄	—	4	1	no	—
431	C₂×C₅×D₄	—	4	1	no	—
432	C₂×C₅×D₄	—	4	1	no	—
433	C₂×C₅×D₄	—	4	1	no	—
434	C₂×C₅×D₄	—	4	1	no	—
435	C₂×C₅×D₄	—	4	1	no	—
436	C₂×C₅×D₄	—	4	1	no	—
437	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
438	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
439	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
440	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
441	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
442	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
443	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
454	C₂²×C₄×C₅	—	2	2	no	—
455	C₂²×C₄×C₅	—	2	2	no	—
456	C₂²×C₄×C₅	—	2	2	no	—
457	C₂²×C₄×C₅	—	2	2	no	—
458	C₂²×C₄×C₅	—	2	2	no	—
459	C₂²×C₄×C₅	—	2	2	no	—
460	C₂²×C₄×C₅	—	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	1	no	—
477	C₂²×C₄×C₅	—	4	1	no	—
478	C₂²×C₄×C₅	—	4	1	no	—
479	C₂²×C₄×C₅	—	4	1	no	—
480	C₂²×C₄×C₅	—	4	1	no	—
481	C₂²×C₄×C₅	—	4	1	no	—
482	C₂²×C₄×C₅	—	4	1	no	—
483	C₂²×C₄×C₅	—	4	1	no	—
484	C₂²×C₄×C₅	—	4	1	no	—
485	C₂²×C₄×C₅	—	4	1	no	—
486	C₂²×C₄×C₅	—	4	1	no	—
487	C₂²×C₄×C₅	—	4	1	no	—
488	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
489	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
490	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
491	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
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	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
518	C₅×C₄⋊C₄	—	2	2	no	—
519	C₅×C₄⋊C₄	—	2	2	no	—
520	C₅×C₄⋊C₄	—	2	2	no	—
521	C₅×C₄⋊C₄	—	2	2	no	—
522	C₅×C₄⋊C₄	—	2	2	no	—
523	C₅×C₄⋊C₄	—	2	2	no	—
524	C₅×C₄⋊C₄	—	2	2	no	—
525	C₅×C₄⋊C₄	—	2	2	no	—
526	C₅×C₄⋊C₄	—	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	—	4	1	no	—
533	C₅×C₄⋊C₄	—	4	1	no	—
534	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
535	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
536	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
537	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
538	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
539	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
553	C₅×C₂²⋊C₄	—	2	2	no	—
554	C₅×C₂²⋊C₄	—	2	2	no	—
555	C₅×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
560	C₅×C₂²⋊C₄	—	4	1	no	—
561	C₅×C₂²⋊C₄	—	4	1	no	—
562	C₅×C₂²⋊C₄	—	4	1	no	—
563	C₅×C₂²⋊C₄	—	4	1	no	—
564	C₅×C₂²⋊C₄	—	4	1	no	—
565	C₅×C₂²⋊C₄	—	4	1	no	—
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	—
571	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
572	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
573	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
574	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
575	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
576	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
577	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
578	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
579	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
580	C₅×C₂²⋊C₄	#41	1	4	yes	—
581	C₅×C₂²⋊C₄	#41	1	4	yes	—
582	C₄²×C₅	—	2	2	no	—
583	C₄²×C₅	—	2	2	no	—
584	C₄²×C₅	—	2	2	no	—
585	C₄²×C₅	—	2	2	no	—
586	C₄²×C₅	—	2	2	no	—
587	C₄²×C₅	—	2	2	no	—
588	C₄²×C₅	—	2	2	no	—
589	C₄²×C₅	—	2	2	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	—	4	1	no	—
597	C₄²×C₅	—	4	1	no	—
598	C₄²×C₅	—	4	1	no	—
599	C₄²×C₅	—	4	1	no	—
600	C₄²×C₅	—	4	1	no	—
601	C₄²×C₅	—	4	1	no	—
602	C₄²×C₅	—	4	1	no	—
603	C₄²×C₅	—	4	1	no	—
604	C₄²×C₅	—	4	1	no	—
605	C₄²×C₅	—	4	1	no	—
606	C₄²×C₅	C₂²×C₄	1	4	yes	—
607	C₄²×C₅	C₂²×C₄	1	4	yes	—
608	#538	C₄×C₅	1	16	yes	complemented
609	C₂×#126	C₂²×C₅	1	1	yes	characteristic
610	C₂×#126	C₂²×C₅	1	1	yes	characteristic
611	C₂×#124	C₂²×C₅	1	1	yes	characteristic
612	C₂×#124	C₂²×C₅	1	1	yes	characteristic
613	C₂×#123	C₂²×C₅	1	1	yes	characteristic
614	C₂×#123	C₂²×C₅	1	1	yes	characteristic
615	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
616	C₂×#121	C₂²×C₅	1	1	yes	characteristic
617	C₂×#121	C₂²×C₅	1	1	yes	characteristic
618	C₂×#121	C₂²×C₅	1	1	yes	characteristic
619	C₂×#120	C₂²×C₅	1	1	yes	characteristic
620	C₂×#120	C₂²×C₅	1	1	yes	characteristic
621	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
622	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
623	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
624	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
625	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
626	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
627	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
628	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
629	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
630	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
631	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
632	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
633	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
634	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
635	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
636	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
637	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
638	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
639	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
640	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
641	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
642	#391	C₂²×C₅	1	1	yes	characteristic, complemented
643	#391	C₂²×C₅	1	1	yes	characteristic, complemented
644	#391	C₂²×C₅	1	1	yes	characteristic, complemented
645	#390	C₂²×C₅	1	1	yes	characteristic
646	#390	C₂²×C₅	1	1	yes	characteristic
647	#390	C₂²×C₅	1	1	yes	characteristic
648	#390	C₂²×C₅	1	1	yes	characteristic
649	#390	C₂²×C₅	1	1	yes	characteristic, complemented
650	#389	C₂²×C₅	1	1	yes	characteristic, complemented
651	#389	C₂²×C₅	1	1	yes	characteristic, complemented
652	#389	C₂²×C₅	1	1	yes	characteristic, complemented
653	#389	C₂²×C₅	1	1	yes	characteristic, complemented
654	#388	C₂²×C₅	1	1	yes	characteristic
655	#388	C₂²×C₅	1	1	yes	characteristic
656	#388	C₂²×C₅	1	1	yes	characteristic
657	#388	C₂²×C₅	1	1	yes	characteristic
658	#388	C₂²×C₅	1	1	yes	characteristic
659	#388	C₂²×C₅	1	1	yes	characteristic
660	#388	C₂²×C₅	1	1	yes	characteristic
661	#388	C₂²×C₅	1	1	yes	characteristic
662	#388	C₂²×C₅	1	1	yes	characteristic
663	#388	C₂²×C₅	1	1	yes	characteristic
664	#388	C₂²×C₅	1	1	yes	characteristic
665	#388	C₂²×C₅	1	1	yes	characteristic
666	#388	C₂²×C₅	1	1	yes	characteristic
667	#388	C₂²×C₅	1	1	yes	characteristic
668	#388	C₂²×C₅	1	1	yes	characteristic
669	#388	C₂²×C₅	1	1	yes	characteristic
670	#388	C₂²×C₅	1	1	yes	characteristic, complemented
671	#388	C₂²×C₅	1	1	yes	characteristic, complemented
672	#388	C₂²×C₅	1	1	yes	characteristic, complemented
673	#388	C₂²×C₅	1	1	yes	characteristic, complemented
674	#388	C₂²×C₅	1	1	yes	characteristic, complemented
675	#388	C₂²×C₅	1	1	yes	characteristic, complemented
676	#388	C₂²×C₅	1	1	yes	characteristic, complemented
677	#388	C₂²×C₅	1	1	yes	characteristic, complemented
678	#387	C₂²×C₅	1	1	yes	characteristic, complemented
679	#387	C₂²×C₅	1	1	yes	characteristic, complemented
680	#387	C₂²×C₅	1	1	yes	characteristic, complemented
681	#387	C₂²×C₅	1	1	yes	characteristic, complemented
682	#387	C₂²×C₅	1	1	yes	characteristic, complemented
683	#387	C₂²×C₅	1	1	yes	characteristic, complemented
684	#387	C₂²×C₅	1	1	yes	characteristic, complemented
685	#387	C₂²×C₅	1	1	yes	characteristic, complemented
686	#387	C₂²×C₅	1	1	yes	characteristic, complemented
687	#387	C₂²×C₅	1	1	yes	characteristic, complemented
688	#387	C₂²×C₅	1	1	yes	characteristic, complemented
689	#387	C₂²×C₅	1	1	yes	characteristic, complemented
690	#386	C₂²×C₅	1	1	yes	characteristic
691	#386	C₂²×C₅	1	1	yes	characteristic
692	#386	C₂²×C₅	1	1	yes	characteristic
693	#386	C₂²×C₅	1	1	yes	characteristic
694	#386	C₂²×C₅	1	1	yes	characteristic
695	#386	C₂²×C₅	1	1	yes	characteristic
696	#386	C₂²×C₅	1	1	yes	characteristic
697	#386	C₂²×C₅	1	1	yes	characteristic
698	#386	C₂²×C₅	1	1	yes	characteristic
699	#386	C₂²×C₅	1	1	yes	characteristic
700	#386	C₂²×C₅	1	1	yes	characteristic
701	#386	C₂²×C₅	1	1	yes	characteristic
702	#386	C₂²×C₅	1	1	yes	characteristic, complemented
703	#386	C₂²×C₅	1	1	yes	characteristic, complemented
704	#385	C₂²×C₅	1	1	yes	characteristic
705	#385	C₂²×C₅	1	1	yes	characteristic
706	#385	C₂²×C₅	1	1	yes	characteristic
707	#385	C₂²×C₅	1	1	yes	characteristic
708	#385	C₂²×C₅	1	1	yes	characteristic
709	#385	C₂²×C₅	1	1	yes	characteristic
710	#385	C₂²×C₅	1	1	yes	characteristic
711	#385	C₂²×C₅	1	1	yes	characteristic
712	#385	C₂²×C₅	1	1	yes	characteristic, complemented
713	#385	C₂²×C₅	1	1	yes	characteristic, complemented
714	#383	C₂²×C₅	1	1	yes	characteristic, complemented
715	#382	C₂²×C₅	1	1	yes	characteristic, complemented
716	#381	C₂²×C₅	1	1	yes	characteristic, complemented
717	#380	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×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
726	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
727	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
728	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
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
745	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
746	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
747	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
748	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
749	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
750	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
751	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
752	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
753	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
754	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
755	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
756	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
757	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
758	#376	C₂²×C₅	1	1	yes	characteristic, complemented
759	#376	C₂²×C₅	1	1	yes	characteristic, complemented
760	C₂×#95	C₂²×C₅	1	1	yes	characteristic
761	C₂×#95	C₂²×C₅	1	1	yes	characteristic
762	C₂×#95	C₂²×C₅	1	1	yes	characteristic, complemented
763	C₄³	C₂²×C₅	1	1	yes	characteristic, complemented
764	C₂³×C₅	—	2	1	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	—	2	1	no	—
778	C₂³×C₅	—	2	1	no	—
779	C₂³×C₅	—	2	1	no	—
780	C₂³×C₅	—	2	1	no	—
781	C₂³×C₅	—	2	1	no	—
782	C₂³×C₅	—	2	1	no	—
783	C₂³×C₅	—	2	1	no	—
784	C₂³×C₅	—	2	1	no	—
785	C₂³×C₅	—	2	1	no	—
786	C₂³×C₅	—	2	1	no	—
787	C₂³×C₅	—	2	1	no	—
788	C₂³×C₅	—	2	1	no	—
789	C₂³×C₅	—	2	1	no	—
790	C₂³×C₅	—	2	1	no	—
791	C₂³×C₅	—	2	1	no	—
792	C₂³×C₅	—	2	8	no	—
793	C₂³×C₅	—	4	4	no	—
794	C₂³×C₅	—	4	4	no	—
795	C₂³×C₅	—	8	2	no	—
796	C₂³×C₅	—	8	2	no	—
797	C₂³×C₅	—	8	2	no	—
798	C₂³×C₅	—	8	2	no	—
799	C₂³×C₅	C₂³×C₄	1	2	yes	—
800	C₂³×C₅	C₂³×C₄	1	2	yes	—
801	C₂³×C₅	C₂³×C₄	1	2	yes	—
802	C₂³×C₅	C₂³×C₄	1	2	yes	—
803	C₂³×C₅	C₂³×C₄	1	2	yes	—
804	C₂³×C₅	C₂×#41	1	2	yes	—
805	C₂³×C₅	C₂×#41	1	2	yes	—
806	C₂³×C₅	C₂⁵	1	1	yes	characteristic
807	C₅×Q₈	—	4	4	no	—
808	C₅×D₄	—	2	8	no	—
809	C₅×D₄	—	2	8	no	—
810	C₅×D₄	—	4	4	no	—
811	C₅×D₄	—	4	4	no	—
812	C₅×D₄	—	4	4	no	—
813	C₅×D₄	—	4	4	no	—
814	C₅×D₄	—	4	4	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	—	2	1	no	—
864	C₂×C₄×C₅	—	2	1	no	—
865	C₂×C₄×C₅	—	2	1	no	—
866	C₂×C₄×C₅	—	2	1	no	—
867	C₂×C₄×C₅	—	2	1	no	—
868	C₂×C₄×C₅	—	2	1	no	—
869	C₂×C₄×C₅	—	2	1	no	—
870	C₂×C₄×C₅	—	2	1	no	—
871	C₂×C₄×C₅	—	2	1	no	—
872	C₂×C₄×C₅	—	2	1	no	—
873	C₂×C₄×C₅	—	2	1	no	—
874	C₂×C₄×C₅	—	2	1	no	—
875	C₂×C₄×C₅	—	2	1	no	—
876	C₂×C₄×C₅	—	2	1	no	—
877	C₂×C₄×C₅	—	4	4	no	—
878	C₂×C₄×C₅	—	4	4	no	—
879	C₂×C₄×C₅	—	4	4	no	—
880	C₂×C₄×C₅	—	4	4	no	—
881	C₂×C₄×C₅	—	4	4	no	—
882	C₂×C₄×C₅	—	4	4	no	—
883	C₂×C₄×C₅	—	4	4	no	—
884	C₂×C₄×C₅	—	4	4	no	—
885	C₂×C₄×C₅	—	8	2	no	—
886	C₂×C₄×C₅	—	8	2	no	—
887	C₂×C₄×C₅	—	8	2	no	—
888	C₂×C₄×C₅	—	8	2	no	—
889	C₂×C₄×C₅	—	8	2	no	—
890	C₂×C₄×C₅	—	8	2	no	—
891	C₂×C₄×C₅	—	8	2	no	—
892	C₂×C₄×C₅	—	8	2	no	—
893	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
894	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
895	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
896	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
897	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
898	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
899	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
900	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
901	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
902	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
903	C₂×C₄×C₅	C₂×#41	1	2	yes	—
904	C₂×C₄×C₅	C₂×#41	1	2	yes	—
905	C₂×C₄×C₅	C₂×#41	1	2	yes	—
906	C₂×C₄×C₅	C₂×#41	1	2	yes	—
907	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
908	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
909	C₂⁵	C₂³×C₅	1	1	yes	characteristic
910	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
911	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
912	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
913	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
914	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
915	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
916	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
917	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
918	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
919	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
920	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
921	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
922	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
923	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
924	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
925	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
926	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
927	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
928	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
929	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
930	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
931	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
932	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
933	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
934	#126	C₂×C₄×C₅	1	8	yes	complemented
935	#126	C₂×C₄×C₅	1	8	yes	complemented
936	#124	C₂×C₄×C₅	1	8	yes	complemented
937	#124	C₂×C₄×C₅	1	8	yes	complemented
938	#123	C₂×C₄×C₅	1	8	yes	complemented
939	#123	C₂×C₄×C₅	1	8	yes	complemented
940	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
941	#121	C₂×C₄×C₅	1	8	yes	complemented
942	#121	C₂×C₄×C₅	1	8	yes	complemented
943	#121	C₂×C₄×C₅	1	8	yes	complemented
944	#120	C₂×C₄×C₅	1	8	yes	complemented
945	#120	C₂×C₄×C₅	1	8	yes	complemented
946	C₄×Q₈	—	4	2	no	—
947	C₄×D₄	—	2	4	no	—
948	C₄×D₄	—	2	4	no	—
949	C₄×D₄	—	2	4	no	—
950	C₄×D₄	—	2	4	no	—
951	C₄×D₄	—	4	2	no	—
952	C₄×D₄	—	4	2	no	—
953	C₄×D₄	—	4	2	no	—
954	C₄×D₄	—	4	2	no	—
955	C₄×D₄	—	4	2	no	—
956	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
957	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
958	#117	—	4	2	no	—
959	C₂×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	—	2	4	no	—
983	C₂×C₂²⋊C₄	—	2	4	no	—
984	C₂×C₂²⋊C₄	—	4	2	no	—
985	C₂×C₂²⋊C₄	—	4	2	no	—
986	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
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×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1029	C₂×C₄²	—	4	2	no	—
1030	C₂×C₄²	—	4	2	no	—
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	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1038	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1039	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1040	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1041	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1042	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1043	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1044	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1045	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1046	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1047	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1048	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1049	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1050	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1051	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1052	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1053	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1054	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1055	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1056	C₂×C₄²	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	#95	C₂³×C₅	1	1	yes	characteristic
1082	#95	C₂³×C₅	1	1	yes	characteristic
1083	#95	C₂³×C₅	1	1	yes	characteristic
1084	#95	C₂³×C₅	1	1	yes	characteristic
1085	#95	C₂³×C₅	1	1	yes	characteristic
1086	#95	C₂³×C₅	1	1	yes	characteristic
1087	#95	C₂³×C₅	1	1	yes	characteristic
1088	#95	C₂³×C₅	1	1	yes	characteristic
1089	#95	C₂³×C₅	1	1	yes	characteristic
1090	#95	C₂³×C₅	1	1	yes	characteristic
1091	#95	C₂³×C₅	1	1	yes	characteristic
1092	#95	C₂³×C₅	1	1	yes	characteristic
1093	#95	C₂³×C₅	1	1	yes	characteristic
1094	#95	C₂³×C₅	1	1	yes	characteristic
1095	#95	C₂³×C₅	1	1	yes	characteristic
1096	#95	C₂³×C₅	1	1	yes	characteristic
1097	C₂²×C₅	—	2	2	no	—
1098	C₂²×C₅	—	2	2	no	—
1099	C₂²×C₅	—	2	2	no	—
1100	C₂²×C₅	—	2	2	no	—
1101	C₂²×C₅	—	2	2	no	—
1102	C₂²×C₅	—	2	2	no	—
1103	C₂²×C₅	—	2	2	no	—
1104	C₂²×C₅	—	2	2	no	—
1105	C₂²×C₅	—	2	2	no	—
1106	C₂²×C₅	—	2	2	no	—
1107	C₂²×C₅	—	2	2	no	—
1108	C₂²×C₅	—	2	2	no	—
1109	C₂²×C₅	—	2	2	no	—
1110	C₂²×C₅	—	2	2	no	—
1111	C₂²×C₅	—	2	2	no	—
1112	C₂²×C₅	—	2	2	no	—
1113	C₂²×C₅	—	2	2	no	—
1114	C₂²×C₅	—	2	2	no	—
1115	C₂²×C₅	—	4	1	no	—
1116	C₂²×C₅	—	4	1	no	—
1117	C₂²×C₅	—	4	1	no	—
1118	C₂²×C₅	—	4	1	no	—
1119	C₂²×C₅	—	4	1	no	—
1120	C₂²×C₅	—	4	1	no	—
1121	C₂²×C₅	—	4	1	no	—
1122	C₂²×C₅	—	4	1	no	—
1123	C₂²×C₅	—	4	1	no	—
1124	C₂²×C₅	—	4	1	no	—
1125	C₂²×C₅	—	4	1	no	—
1126	C₂²×C₅	—	4	1	no	—
1127	C₂²×C₅	—	4	1	no	—
1128	C₂²×C₅	—	4	1	no	—
1129	C₂²×C₅	—	4	1	no	—
1130	C₂²×C₅	—	4	1	no	—
1131	C₂²×C₅	—	8	8	no	—
1132	C₂²×C₅	C₄×#41	1	4	yes	—
1133	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1134	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1135	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1136	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1137	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1138	C₂²×C₅	#585	1	1	yes	characteristic
1139	C₂²×C₅	#585	1	1	yes	characteristic
1140	C₄×C₅	—	2	2	no	—
1141	C₄×C₅	—	2	2	no	—
1142	C₄×C₅	—	2	2	no	—
1143	C₄×C₅	—	2	2	no	—
1144	C₄×C₅	—	2	2	no	—
1145	C₄×C₅	—	2	2	no	—
1146	C₄×C₅	—	2	2	no	—
1147	C₄×C₅	—	2	2	no	—
1148	C₄×C₅	—	2	2	no	—
1149	C₄×C₅	—	2	2	no	—
1150	C₄×C₅	—	2	2	no	—
1151	C₄×C₅	—	2	2	no	—
1152	C₄×C₅	—	2	2	no	—
1153	C₄×C₅	—	2	2	no	—
1154	C₄×C₅	—	2	2	no	—
1155	C₄×C₅	—	2	2	no	—
1156	C₄×C₅	—	4	1	no	—
1157	C₄×C₅	—	4	1	no	—
1158	C₄×C₅	—	4	1	no	—
1159	C₄×C₅	—	4	1	no	—
1160	C₄×C₅	—	4	1	no	—
1161	C₄×C₅	—	4	1	no	—
1162	C₄×C₅	—	4	1	no	—
1163	C₄×C₅	—	4	1	no	—
1164	C₄×C₅	—	4	1	no	—
1165	C₄×C₅	—	4	1	no	—
1166	C₂⁴	—	2	2	no	—
1167	C₂⁴	—	2	2	no	—
1168	C₂⁴	—	4	1	no	—
1169	C₂⁴	—	4	1	no	—
1170	C₂⁴	—	4	1	no	—
1171	C₂⁴	—	4	1	no	—
1172	C₂⁴	C₂²×C₄×C₅	1	4	yes	—
1173	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1174	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1175	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1176	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1177	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1178	C₂×Q₈	—	4	1	no	—
1179	C₂×Q₈	—	4	1	no	—
1180	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
1181	C₂×D₄	—	2	2	no	—
1182	C₂×D₄	—	2	2	no	—
1183	C₂×D₄	—	2	2	no	—
1184	C₂×D₄	—	2	2	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	1	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂×D₄	—	4	1	no	—
1192	C₂×D₄	—	4	1	no	—
1193	C₂×D₄	—	4	1	no	—
1194	C₂×D₄	—	4	1	no	—
1195	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1196	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1197	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1198	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1199	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1200	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1201	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1202	C₂²×C₄	—	2	2	no	—
1203	C₂²×C₄	—	2	2	no	—
1204	C₂²×C₄	—	2	2	no	—
1205	C₂²×C₄	—	2	2	no	—
1206	C₂²×C₄	—	2	2	no	—
1207	C₂²×C₄	—	2	2	no	—
1208	C₂²×C₄	—	2	2	no	—
1209	C₂²×C₄	—	2	2	no	—
1210	C₂²×C₄	—	2	2	no	—
1211	C₂²×C₄	—	2	2	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	—	4	1	no	—
1227	C₂²×C₄	—	4	1	no	—
1228	C₂²×C₄	—	4	1	no	—
1229	C₂²×C₄	—	4	1	no	—
1230	C₂²×C₄	—	4	1	no	—
1231	C₂²×C₄	—	4	1	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	4	1	no	—
1235	C₂²×C₄	—	4	1	no	—
1236	C₂²×C₄	—	4	1	no	—
1237	C₂²×C₄	—	4	1	no	—
1238	C₂²×C₄	—	4	1	no	—
1239	C₂²×C₄	—	4	1	no	—
1240	C₂²×C₄	—	4	1	no	—
1241	C₂²×C₄	—	4	1	no	—
1242	C₂²×C₄	—	4	1	no	—
1243	C₂²×C₄	—	4	1	no	—
1244	C₂²×C₄	—	4	1	no	—
1245	C₂²×C₄	—	4	1	no	—
1246	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1247	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1248	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1249	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1250	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1276	C₄⋊C₄	—	2	2	no	—
1277	C₄⋊C₄	—	2	2	no	—
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	2	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	2	no	—
1283	C₄⋊C₄	—	2	2	no	—
1284	C₄⋊C₄	—	4	1	no	—
1285	C₄⋊C₄	—	4	1	no	—
1286	C₄⋊C₄	—	4	1	no	—
1287	C₄⋊C₄	—	4	1	no	—
1288	C₄⋊C₄	—	4	1	no	—
1289	C₄⋊C₄	—	4	1	no	—
1290	C₄⋊C₄	—	4	1	no	—
1291	C₄⋊C₄	—	4	1	no	—
1292	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1293	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1294	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1295	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1296	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1297	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
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	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	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	C₂²×C₄×C₅	1	4	yes	—
1325	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1326	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1327	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1328	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1329	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1330	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1331	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1332	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1333	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1334	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1335	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1336	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1337	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1338	C₂²⋊C₄	C₅×#41	1	4	yes	—
1339	C₂²⋊C₄	C₅×#41	1	4	yes	—
1340	C₄²	—	2	2	no	—
1341	C₄²	—	2	2	no	—
1342	C₄²	—	2	2	no	—
1343	C₄²	—	2	2	no	—
1344	C₄²	—	2	2	no	—
1345	C₄²	—	2	2	no	—
1346	C₄²	—	2	2	no	—
1347	C₄²	—	2	2	no	—
1348	C₄²	—	4	1	no	—
1349	C₄²	—	4	1	no	—
1350	C₄²	—	4	1	no	—
1351	C₄²	—	4	1	no	—
1352	C₄²	—	4	1	no	—
1353	C₄²	—	4	1	no	—
1354	C₄²	—	4	1	no	—
1355	C₄²	—	4	1	no	—
1356	C₄²	—	4	1	no	—
1357	C₄²	—	4	1	no	—
1358	C₄²	—	4	1	no	—
1359	C₄²	—	4	1	no	—
1360	C₄²	—	4	1	no	—
1361	C₄²	—	4	1	no	—
1362	C₄²	—	4	1	no	—
1363	C₄²	—	4	1	no	—
1364	C₄²	C₂²×C₄×C₅	1	4	yes	—
1365	C₄²	C₂²×C₄×C₅	1	4	yes	—
1366	C₂×C₅	—	2	4	no	—
1367	C₂×C₅	—	4	2	no	—
1368	C₂×C₅	—	4	2	no	—
1369	C₂×C₅	—	4	2	no	—
1370	C₂×C₅	—	4	2	no	—
1371	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1372	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1373	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1374	C₂×C₅	#3513	1	1	yes	characteristic
1375	C₂×C₅	#3514	1	1	yes	characteristic
1376	C₂×C₅	#3519	1	1	yes	characteristic
1377	C₂×C₅	#3521	1	1	yes	characteristic
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	8	no	—
1407	C₂³	—	4	4	no	—
1408	C₂³	—	4	4	no	—
1409	C₂³	—	8	2	no	—
1410	C₂³	—	8	2	no	—
1411	C₂³	—	8	2	no	—
1412	C₂³	—	8	2	no	—
1413	C₂³	C₂³×C₄×C₅	1	2	yes	—
1414	C₂³	C₂³×C₄×C₅	1	2	yes	—
1415	C₂³	C₂³×C₄×C₅	1	2	yes	—
1416	C₂³	C₂³×C₄×C₅	1	2	yes	—
1417	C₂³	C₂³×C₄×C₅	1	2	yes	—
1418	C₂³	C₂×C₅×#41	1	2	yes	—
1419	C₂³	C₂×C₅×#41	1	2	yes	—
1420	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1421	Q₈	—	4	4	no	—
1422	D₄	—	2	8	no	—
1423	D₄	—	2	8	no	—
1424	D₄	—	4	4	no	—
1425	D₄	—	4	4	no	—
1426	D₄	—	4	4	no	—
1427	D₄	—	4	4	no	—
1428	D₄	—	4	4	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	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	4	4	no	—
1492	C₂×C₄	—	4	4	no	—
1493	C₂×C₄	—	4	4	no	—
1494	C₂×C₄	—	4	4	no	—
1495	C₂×C₄	—	4	4	no	—
1496	C₂×C₄	—	4	4	no	—
1497	C₂×C₄	—	4	4	no	—
1498	C₂×C₄	—	4	4	no	—
1499	C₂×C₄	—	8	2	no	—
1500	C₂×C₄	—	8	2	no	—
1501	C₂×C₄	—	8	2	no	—
1502	C₂×C₄	—	8	2	no	—
1503	C₂×C₄	—	8	2	no	—
1504	C₂×C₄	—	8	2	no	—
1505	C₂×C₄	—	8	2	no	—
1506	C₂×C₄	—	8	2	no	—
1507	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1508	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1509	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1510	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1511	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1512	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1513	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1514	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1515	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1516	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1517	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1518	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1519	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1520	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1521	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1522	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1523	C₅	#34283	1	1	yes	characteristic, direct product factor, Sylow
1524	C₂²	—	2	2	no	—
1525	C₂²	—	2	2	no	—
1526	C₂²	—	2	2	no	—
1527	C₂²	—	2	2	no	—
1528	C₂²	—	2	2	no	—
1529	C₂²	—	2	2	no	—
1530	C₂²	—	2	2	no	—
1531	C₂²	—	2	2	no	—
1532	C₂²	—	2	2	no	—
1533	C₂²	—	2	2	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	2	no	—
1536	C₂²	—	2	2	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	8	8	no	—
1559	C₂²	C₄×C₅×#41	1	4	yes	—
1560	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1561	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1562	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1563	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1564	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1565	C₂²	C₅×#585	1	1	yes	characteristic
1566	C₂²	C₅×#585	1	1	yes	characteristic
1567	C₄	—	2	2	no	—
1568	C₄	—	2	2	no	—
1569	C₄	—	2	2	no	—
1570	C₄	—	2	2	no	—
1571	C₄	—	2	2	no	—
1572	C₄	—	2	2	no	—
1573	C₄	—	2	2	no	—
1574	C₄	—	2	2	no	—
1575	C₄	—	2	2	no	—
1576	C₄	—	2	2	no	—
1577	C₄	—	2	2	no	—
1578	C₄	—	2	2	no	—
1579	C₄	—	2	2	no	—
1580	C₄	—	2	2	no	—
1581	C₄	—	2	2	no	—
1582	C₄	—	2	2	no	—
1583	C₄	—	4	1	no	—
1584	C₄	—	4	1	no	—
1585	C₄	—	4	1	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₂	—	2	4	no	—
1594	C₂	—	4	2	no	—
1595	C₂	—	4	2	no	—
1596	C₂	—	4	2	no	—
1597	C₂	—	4	2	no	—
1598	C₂	C₂×C₄×C₅×#41	1	1	yes	characteristic
1599	C₂	C₄×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1600	C₂	C₄×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1601	C₂	C₅×#3513	1	1	yes	characteristic
1602	C₂	C₅×#3514	1	1	yes	characteristic
1603	C₂	C₅×#3519	1	1	yes	characteristic
1604	C₂	C₅×#3521	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×#538	C₂
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×#2374	C₂	semidirect
3. C₅×#2373	C₂	semidirect
4. C₅×#2373	C₂	semidirect
5. C₅×#2372	C₂	semidirect
6. C₅×#2368	C₂	semidirect
7. C₅×#2367	C₂	semidirect
8. C₅×#2364	C₂	semidirect
9. C₅×#2364	C₂	semidirect
10. C₅×#2363	C₂	semidirect
11. C₅×#2361	C₂	semidirect
12. C₅×#2360	C₂	semidirect
13. C₅×#2359	C₂	semidirect
14. C₅×#2358	C₂	semidirect
15. C₅×#2358	C₂	semidirect
16. C₅×#2358	C₂	semidirect
17. C₅×#2358	C₂	semidirect
18. C₅×#2337	C₂	semidirect
19. C₅×#2335	C₂	semidirect
20. C₅×#2334	C₂	semidirect
21. C₅×#2333	C₂	semidirect
22. C₅×#2318	C₂	semidirect
23. C₄×C₅×#126	C₂	semidirect
24. C₄×C₅×#124	C₂	semidirect
25. C₄×C₅×#123	C₂	semidirect
26. C₄×C₅×#121	C₂	semidirect
27. C₅×#2290	C₂	semidirect
28. C₂×C₅×#388	C₂	semidirect
29. C₅×#2275	C₂	semidirect
30. C₅×#2273	C₂	semidirect
31. C₄²×C₅×D₄	C₂	semidirect
32. C₅×#538	C₄	semidirect
45. C₂×C₄×C₅×Q₈	C₂²	semidirect
56. C₂×C₄×C₅×D₄	C₂²	semidirect
57. C₂×C₅×#117	C₂²	semidirect
65. C₂²×C₄²×C₅	C₂²	semidirect
66. C₅×#391	C₂²	semidirect
67. C₅×#391	C₂²	semidirect
68. C₅×#391	C₂²	semidirect
73. C₅×#390	C₂²	semidirect
74. C₅×#389	C₂²	semidirect
75. C₅×#389	C₂²	semidirect
76. C₅×#389	C₂²	semidirect
77. C₅×#389	C₂²	semidirect
94. C₅×#388	C₂²	semidirect
95. C₅×#388	C₂²	semidirect
96. C₅×#388	C₂²	semidirect
97. C₅×#388	C₂²	semidirect
98. C₅×#388	C₂²	semidirect
99. C₅×#388	C₂²	semidirect
100. C₅×#388	C₂²	semidirect
101. C₅×#388	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
108. C₅×#387	C₂²	semidirect
109. C₅×#387	C₂²	semidirect
110. C₅×#387	C₂²	semidirect
111. C₅×#387	C₂²	semidirect
112. C₅×#387	C₂²	semidirect
113. C₅×#387	C₂²	semidirect
126. C₅×#386	C₂²	semidirect
127. C₅×#386	C₂²	semidirect
136. C₅×#385	C₂²	semidirect
137. C₅×#385	C₂²	semidirect
138. C₅×#383	C₂²	semidirect
139. C₅×#382	C₂²	semidirect
140. C₅×#381	C₂²	semidirect
141. C₅×#380	C₂²	semidirect
142. C₄×C₅×C₄⋊C₄	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
173. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
174. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
175. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
176. C₄×C₅×C₂²⋊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. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
182. C₅×#376	C₂²	semidirect
183. C₅×#376	C₂²	semidirect
186. C₂×C₅×#95	C₂²	semidirect
187. C₄³×C₅	C₂²	semidirect
188. #34283	C₅	direct (N × H)
214. C₅×#126	C₂×C₄	semidirect
215. C₅×#126	C₂×C₄	semidirect
216. C₅×#124	C₂×C₄	semidirect
217. C₅×#124	C₂×C₄	semidirect
218. C₅×#123	C₂×C₄	semidirect
219. C₅×#123	C₂×C₄	semidirect
220. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
221. C₅×#121	C₂×C₄	semidirect
222. C₅×#121	C₂×C₄	semidirect
223. C₅×#121	C₂×C₄	semidirect
224. C₅×#120	C₂×C₄	semidirect
225. C₅×#120	C₂×C₄	semidirect
236. C₄×C₅×D₄	C₂×C₄	semidirect
237. C₄×C₅×D₄	C₂×C₄	semidirect
266. C₂×C₅×C₂²⋊C₄	C₂×C₄	semidirect
378. #2374	C₂×C₅	semidirect
379. #2373	C₂×C₅	semidirect
380. #2373	C₂×C₅	semidirect
381. #2372	C₂×C₅	semidirect
382. #2368	C₂×C₅	semidirect
383. #2367	C₂×C₅	semidirect
384. #2364	C₂×C₅	semidirect
385. #2364	C₂×C₅	semidirect
386. #2363	C₂×C₅	semidirect
387. #2361	C₂×C₅	semidirect
388. #2360	C₂×C₅	semidirect
389. #2359	C₂×C₅	semidirect
390. #2358	C₂×C₅	semidirect
391. #2358	C₂×C₅	semidirect
392. #2358	C₂×C₅	semidirect
393. #2358	C₂×C₅	semidirect
394. #2337	C₂×C₅	semidirect
395. #2335	C₂×C₅	semidirect
396. #2334	C₂×C₅	semidirect
397. #2333	C₂×C₅	semidirect
398. #2318	C₂×C₅	semidirect
399. C₄×#126	C₂×C₅	semidirect
400. C₄×#124	C₂×C₅	semidirect
401. C₄×#123	C₂×C₅	semidirect
402. C₄×#121	C₂×C₅	semidirect
403. #2290	C₂×C₅	semidirect
404. C₂×#388	C₂×C₅	semidirect
405. #2275	C₂×C₅	semidirect
406. #2273	C₂×C₅	semidirect
407. C₄²×D₄	C₂×C₅	semidirect
608. #538	C₄×C₅	semidirect
621. C₂×C₄×Q₈	C₂²×C₅	semidirect
632. C₂×C₄×D₄	C₂²×C₅	semidirect
633. C₂×#117	C₂²×C₅	semidirect
641. C₂²×C₄²	C₂²×C₅	semidirect
642. #391	C₂²×C₅	semidirect
643. #391	C₂²×C₅	semidirect
644. #391	C₂²×C₅	semidirect
649. #390	C₂²×C₅	semidirect
650. #389	C₂²×C₅	semidirect
651. #389	C₂²×C₅	semidirect
652. #389	C₂²×C₅	semidirect
653. #389	C₂²×C₅	semidirect
670. #388	C₂²×C₅	semidirect
671. #388	C₂²×C₅	semidirect
672. #388	C₂²×C₅	semidirect
673. #388	C₂²×C₅	semidirect
674. #388	C₂²×C₅	semidirect
675. #388	C₂²×C₅	semidirect
676. #388	C₂²×C₅	semidirect
677. #388	C₂²×C₅	semidirect
678. #387	C₂²×C₅	semidirect
679. #387	C₂²×C₅	semidirect
680. #387	C₂²×C₅	semidirect
681. #387	C₂²×C₅	semidirect
682. #387	C₂²×C₅	semidirect
683. #387	C₂²×C₅	semidirect
684. #387	C₂²×C₅	semidirect
685. #387	C₂²×C₅	semidirect
686. #387	C₂²×C₅	semidirect
687. #387	C₂²×C₅	semidirect
688. #387	C₂²×C₅	semidirect
689. #387	C₂²×C₅	semidirect
702. #386	C₂²×C₅	semidirect
703. #386	C₂²×C₅	semidirect
712. #385	C₂²×C₅	semidirect
713. #385	C₂²×C₅	semidirect
714. #383	C₂²×C₅	semidirect
715. #382	C₂²×C₅	semidirect
716. #381	C₂²×C₅	semidirect
717. #380	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
725. C₄×C₄⋊C₄	C₂²×C₅	semidirect
726. C₄×C₄⋊C₄	C₂²×C₅	semidirect
727. C₄×C₄⋊C₄	C₂²×C₅	semidirect
728. C₄×C₄⋊C₄	C₂²×C₅	semidirect
749. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
750. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
751. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
752. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
753. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
754. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
755. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
756. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
757. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
758. #376	C₂²×C₅	semidirect
759. #376	C₂²×C₅	semidirect
762. C₂×#95	C₂²×C₅	semidirect
763. C₄³	C₂²×C₅	semidirect
934. #126	C₂×C₄×C₅	semidirect
935. #126	C₂×C₄×C₅	semidirect
936. #124	C₂×C₄×C₅	semidirect
937. #124	C₂×C₄×C₅	semidirect
938. #123	C₂×C₄×C₅	semidirect
939. #123	C₂×C₄×C₅	semidirect
940. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
941. #121	C₂×C₄×C₅	semidirect
942. #121	C₂×C₄×C₅	semidirect
943. #121	C₂×C₄×C₅	semidirect
944. #120	C₂×C₄×C₅	semidirect
945. #120	C₂×C₄×C₅	semidirect
956. C₄×D₄	C₂×C₄×C₅	semidirect
957. C₄×D₄	C₂×C₄×C₅	semidirect
986. C₂×C₂²⋊C₄	C₂×C₄×C₅	semidirect
1523. C₅	#34283	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×#538	2
C₅×#2374	2
C₅×#2373	2
C₅×#2372	2
C₅×#2368	2
C₅×#2367	2
C₅×#2364	2
C₅×#2363	2
C₅×#2361	2
C₅×#2360	2
C₅×#2359	2
C₅×#2358	2
C₅×#2337	2
C₅×#2335	2
C₅×#2334	2
C₅×#2333	2
C₅×#2318	2
C₄×C₅×#126	2
C₄×C₅×#124	2
C₄×C₅×#123	2
C₄×C₅×#121	2
C₅×#2290	2
C₂×C₅×#388	2
C₅×#2275	2
C₅×#2273	2
C₄²×C₅×D₄	2
#34283	5

Subgroups — C5×#34283 #11957003

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34283 #11957003