Subgroups — C₅×#34282 #11957002

Order 1280.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#539	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×#2371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2368	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2368	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2364	C₂	1	1	yes	maximal, characteristic
10	C₅×#2362	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2361	C₂	1	1	yes	maximal, characteristic
12	C₅×#2360	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2336	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×#2332	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2318	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₅×#125	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₅×#126	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₅×#387	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	C₄²×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#539	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×#125	C₂²	1	1	yes	characteristic
36	C₂×C₅×#125	C₂²	1	1	yes	characteristic
37	C₂×C₅×#123	C₂²	1	1	yes	characteristic
38	C₂×C₅×#123	C₂²	1	1	yes	characteristic
39	C₂×C₅×#123	C₂²	1	1	yes	characteristic
40	C₂×C₅×#123	C₂²	1	1	yes	characteristic
41	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₅×#121	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₅×Q₈	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×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₅×D₄	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
56	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
59	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
60	C₅×#391	C₂²	1	1	yes	characteristic
61	C₅×#391	C₂²	1	1	yes	characteristic
62	C₅×#391	C₂²	1	1	yes	characteristic
63	C₅×#390	C₂²	1	1	yes	characteristic
64	C₅×#389	C₂²	1	1	yes	characteristic
65	C₅×#389	C₂²	1	1	yes	characteristic
66	C₅×#389	C₂²	1	1	yes	characteristic
67	C₅×#389	C₂²	1	1	yes	characteristic
68	C₅×#389	C₂²	1	1	yes	characteristic
69	C₅×#389	C₂²	1	1	yes	characteristic
70	C₅×#389	C₂²	1	1	yes	characteristic
71	C₅×#389	C₂²	1	1	yes	characteristic
72	C₅×#388	C₂²	1	1	yes	characteristic
73	C₅×#388	C₂²	1	1	yes	characteristic
74	C₅×#388	C₂²	1	1	yes	characteristic
75	C₅×#388	C₂²	1	1	yes	characteristic
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
87	C₅×#388	C₂²	1	1	yes	characteristic
88	C₅×#387	C₂²	1	1	yes	characteristic
89	C₅×#387	C₂²	1	1	yes	characteristic
90	C₅×#387	C₂²	1	1	yes	characteristic
91	C₅×#387	C₂²	1	1	yes	characteristic
92	C₅×#387	C₂²	1	1	yes	characteristic
93	C₅×#387	C₂²	1	1	yes	characteristic
94	C₅×#387	C₂²	1	1	yes	characteristic
95	C₅×#387	C₂²	1	1	yes	characteristic
96	C₅×#387	C₂²	1	1	yes	characteristic
97	C₅×#387	C₂²	1	1	yes	characteristic
98	C₅×#387	C₂²	1	1	yes	characteristic
99	C₅×#387	C₂²	1	1	yes	characteristic
100	C₅×#387	C₂²	1	1	yes	characteristic
101	C₅×#387	C₂²	1	1	yes	characteristic
102	C₅×#387	C₂²	1	1	yes	characteristic
103	C₅×#387	C₂²	1	1	yes	characteristic
104	C₅×#387	C₂²	1	1	yes	characteristic
105	C₅×#387	C₂²	1	1	yes	characteristic
106	C₅×#387	C₂²	1	1	yes	characteristic
107	C₅×#387	C₂²	1	1	yes	characteristic
108	C₅×#387	C₂²	1	1	yes	characteristic
109	C₅×#387	C₂²	1	1	yes	characteristic
110	C₅×#387	C₂²	1	1	yes	characteristic
111	C₅×#387	C₂²	1	1	yes	characteristic
112	C₅×#387	C₂²	1	1	yes	characteristic
113	C₅×#387	C₂²	1	1	yes	characteristic
114	C₅×#387	C₂²	1	1	yes	characteristic
115	C₅×#387	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×#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
132	C₅×#383	C₂²	1	1	yes	characteristic
133	C₅×#382	C₂²	1	1	yes	characteristic
134	C₅×#381	C₂²	1	1	yes	characteristic
135	C₅×#380	C₂²	1	1	yes	characteristic
136	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
137	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
138	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
139	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
140	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
141	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
142	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
143	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
144	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
145	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
146	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
147	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
148	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₅×C₄⋊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
178	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₅×#376	C₂²	1	1	yes	characteristic
181	C₅×#376	C₂²	1	1	yes	characteristic
182	C₂×C₅×#95	C₂²	1	1	yes	characteristic
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	C₄³×C₅	C₂²	1	1	yes	characteristic
188	#34282	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
189	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
191	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
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	C₅×#126	C₂×C₄	1	8	yes	complemented
207	C₅×#126	C₂×C₄	1	8	yes	complemented
208	C₅×#125	C₂×C₄	1	8	yes	complemented
209	C₅×#125	C₂×C₄	1	8	yes	complemented
210	C₅×#123	C₂×C₄	1	8	yes	complemented
211	C₅×#123	C₂×C₄	1	8	yes	complemented
212	C₅×#123	C₂×C₄	1	8	yes	complemented
213	C₅×#123	C₂×C₄	1	8	yes	complemented
214	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
215	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
216	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
217	C₅×#121	C₂×C₄	1	8	yes	—
218	C₄×C₅×Q₈	—	4	2	no	—
219	C₄×C₅×D₄	—	2	4	no	—
220	C₄×C₅×D₄	—	2	4	no	—
221	C₄×C₅×D₄	—	2	4	no	—
222	C₄×C₅×D₄	—	2	4	no	—
223	C₄×C₅×D₄	—	4	2	no	—
224	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
225	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
226	C₅×#117	—	2	4	no	—
227	C₅×#117	—	2	4	no	—
228	C₅×#117	—	4	2	no	—
229	C₂×C₅×C₄⋊C₄	—	4	2	no	—
230	C₂×C₅×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
231	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₅	—	4	2	no	—
292	C₂×C₄²×C₅	—	4	2	no	—
293	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
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	C₅×#95	C₂³	1	1	yes	characteristic
324	C₅×#95	C₂³	1	1	yes	characteristic
325	C₅×#95	C₂³	1	1	yes	characteristic
326	C₅×#95	C₂³	1	1	yes	characteristic
327	C₅×#95	C₂³	1	1	yes	characteristic
328	C₅×#95	C₂³	1	1	yes	characteristic
329	C₅×#95	C₂³	1	1	yes	characteristic
330	C₅×#95	C₂³	1	1	yes	characteristic
331	C₅×#95	C₂³	1	1	yes	characteristic
332	C₅×#95	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	C₂×#539	C₂×C₅	1	1	yes	characteristic
372	#2374	C₂×C₅	1	1	yes	characteristic, complemented
373	#2373	C₂×C₅	1	1	yes	characteristic, complemented
374	#2373	C₂×C₅	1	1	yes	characteristic, complemented
375	#2371	C₂×C₅	1	1	yes	characteristic, complemented
376	#2370	C₂×C₅	1	1	yes	characteristic, complemented
377	#2368	C₂×C₅	1	1	yes	characteristic, complemented
378	#2368	C₂×C₅	1	1	yes	characteristic, complemented
379	#2364	C₂×C₅	1	1	yes	characteristic
380	#2362	C₂×C₅	1	1	yes	characteristic, complemented
381	#2361	C₂×C₅	1	1	yes	characteristic
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	#2359	C₂×C₅	1	1	yes	characteristic, complemented
387	#2359	C₂×C₅	1	1	yes	characteristic, complemented
388	#2336	C₂×C₅	1	1	yes	characteristic, complemented
389	#2335	C₂×C₅	1	1	yes	characteristic, complemented
390	#2334	C₂×C₅	1	1	yes	characteristic, complemented
391	#2332	C₂×C₅	1	1	yes	characteristic, complemented
392	#2318	C₂×C₅	1	1	yes	characteristic, complemented
393	C₄×#125	C₂×C₅	1	1	yes	characteristic, complemented
394	C₄×#126	C₂×C₅	1	1	yes	characteristic, complemented
395	C₄×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
396	C₄×#123	C₂×C₅	1	1	yes	characteristic, complemented
397	#2290	C₂×C₅	1	1	yes	characteristic, complemented
398	C₂×#387	C₂×C₅	1	1	yes	characteristic, complemented
399	#2275	C₂×C₅	1	1	yes	characteristic, complemented
400	#2274	C₂×C₅	1	1	yes	characteristic, complemented
401	C₄²×D₄	C₂×C₅	1	1	yes	characteristic, complemented
402	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
404	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
405	C₂×C₅×Q₈	—	4	1	no	—
406	C₂×C₅×Q₈	—	4	1	no	—
407	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
408	C₂×C₅×D₄	—	2	2	no	—
409	C₂×C₅×D₄	—	2	2	no	—
410	C₂×C₅×D₄	—	2	2	no	—
411	C₂×C₅×D₄	—	2	2	no	—
412	C₂×C₅×D₄	—	4	1	no	—
413	C₂×C₅×D₄	—	4	1	no	—
414	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
415	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
416	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
417	C₂²×C₄×C₅	—	2	2	no	—
418	C₂²×C₄×C₅	—	2	2	no	—
419	C₂²×C₄×C₅	—	2	2	no	—
420	C₂²×C₄×C₅	—	2	2	no	—
421	C₂²×C₄×C₅	—	2	2	no	—
422	C₂²×C₄×C₅	—	2	2	no	—
423	C₂²×C₄×C₅	—	2	2	no	—
424	C₂²×C₄×C₅	—	2	2	no	—
425	C₂²×C₄×C₅	—	2	2	no	—
426	C₂²×C₄×C₅	—	2	2	no	—
427	C₂²×C₄×C₅	—	2	2	no	—
428	C₂²×C₄×C₅	—	2	2	no	—
429	C₂²×C₄×C₅	—	2	2	no	—
430	C₂²×C₄×C₅	—	2	2	no	—
431	C₂²×C₄×C₅	—	4	1	no	—
432	C₂²×C₄×C₅	—	4	1	no	—
433	C₂²×C₄×C₅	—	4	1	no	—
434	C₂²×C₄×C₅	—	4	1	no	—
435	C₂²×C₄×C₅	—	4	1	no	—
436	C₂²×C₄×C₅	—	4	1	no	—
437	C₂²×C₄×C₅	—	4	1	no	—
438	C₂²×C₄×C₅	—	4	1	no	—
439	C₂²×C₄×C₅	—	4	1	no	—
440	C₂²×C₄×C₅	—	4	1	no	—
441	C₂²×C₄×C₅	—	4	1	no	—
442	C₂²×C₄×C₅	—	4	1	no	—
443	C₂²×C₄×C₅	—	4	1	no	—
444	C₂²×C₄×C₅	—	4	1	no	—
445	C₂²×C₄×C₅	—	4	1	no	—
446	C₂²×C₄×C₅	—	4	1	no	—
447	C₂²×C₄×C₅	—	4	1	no	—
448	C₂²×C₄×C₅	—	4	1	no	—
449	C₂²×C₄×C₅	—	4	1	no	—
450	C₂²×C₄×C₅	—	4	1	no	—
451	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
452	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
453	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
454	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
455	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
456	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
484	C₅×C₄⋊C₄	—	2	2	no	—
485	C₅×C₄⋊C₄	—	2	2	no	—
486	C₅×C₄⋊C₄	—	2	2	no	—
487	C₅×C₄⋊C₄	—	2	2	no	—
488	C₅×C₄⋊C₄	—	2	2	no	—
489	C₅×C₄⋊C₄	—	2	2	no	—
490	C₅×C₄⋊C₄	—	2	2	no	—
491	C₅×C₄⋊C₄	—	2	2	no	—
492	C₅×C₄⋊C₄	—	2	2	no	—
493	C₅×C₄⋊C₄	—	2	2	no	—
494	C₅×C₄⋊C₄	—	2	2	no	—
495	C₅×C₄⋊C₄	—	2	2	no	—
496	C₅×C₄⋊C₄	—	4	1	no	—
497	C₅×C₄⋊C₄	—	4	1	no	—
498	C₅×C₄⋊C₄	—	4	1	no	—
499	C₅×C₄⋊C₄	—	4	1	no	—
500	C₅×C₄⋊C₄	—	4	1	no	—
501	C₅×C₄⋊C₄	—	4	1	no	—
502	C₅×C₄⋊C₄	—	4	1	no	—
503	C₅×C₄⋊C₄	—	4	1	no	—
504	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
505	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
506	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
507	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
508	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
509	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
510	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
511	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
512	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
513	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
514	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
515	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
516	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
517	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
518	C₅×C₂²⋊C₄	—	2	2	no	—
519	C₅×C₂²⋊C₄	—	2	2	no	—
520	C₅×C₂²⋊C₄	—	2	2	no	—
521	C₅×C₂²⋊C₄	—	2	2	no	—
522	C₅×C₂²⋊C₄	—	2	2	no	—
523	C₅×C₂²⋊C₄	—	2	2	no	—
524	C₅×C₂²⋊C₄	—	2	2	no	—
525	C₅×C₂²⋊C₄	—	2	2	no	—
526	C₅×C₂²⋊C₄	—	4	1	no	—
527	C₅×C₂²⋊C₄	—	4	1	no	—
528	C₅×C₂²⋊C₄	—	4	1	no	—
529	C₅×C₂²⋊C₄	—	4	1	no	—
530	C₅×C₂²⋊C₄	—	4	1	no	—
531	C₅×C₂²⋊C₄	—	4	1	no	—
532	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
533	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
534	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
535	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
536	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
537	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
538	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
539	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
540	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
541	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
542	C₅×C₂²⋊C₄	#41	1	4	yes	—
543	C₅×C₂²⋊C₄	#41	1	4	yes	—
544	C₄²×C₅	—	2	2	no	—
545	C₄²×C₅	—	2	2	no	—
546	C₄²×C₅	—	2	2	no	—
547	C₄²×C₅	—	2	2	no	—
548	C₄²×C₅	—	2	2	no	—
549	C₄²×C₅	—	2	2	no	—
550	C₄²×C₅	—	2	2	no	—
551	C₄²×C₅	—	2	2	no	—
552	C₄²×C₅	—	2	2	no	—
553	C₄²×C₅	—	2	2	no	—
554	C₄²×C₅	—	2	2	no	—
555	C₄²×C₅	—	2	2	no	—
556	C₄²×C₅	—	4	1	no	—
557	C₄²×C₅	—	4	1	no	—
558	C₄²×C₅	—	4	1	no	—
559	C₄²×C₅	—	4	1	no	—
560	C₄²×C₅	—	4	1	no	—
561	C₄²×C₅	—	4	1	no	—
562	C₄²×C₅	—	4	1	no	—
563	C₄²×C₅	—	4	1	no	—
564	C₄²×C₅	—	4	1	no	—
565	C₄²×C₅	—	4	1	no	—
566	C₄²×C₅	—	4	1	no	—
567	C₄²×C₅	—	4	1	no	—
568	C₄²×C₅	—	4	1	no	—
569	C₄²×C₅	—	4	1	no	—
570	C₄²×C₅	—	4	1	no	—
571	C₄²×C₅	—	4	1	no	—
572	C₄²×C₅	C₂²×C₄	1	4	yes	—
573	C₄²×C₅	C₂²×C₄	1	4	yes	—
574	#539	C₄×C₅	1	16	yes	complemented
575	C₂×#126	C₂²×C₅	1	1	yes	characteristic
576	C₂×#126	C₂²×C₅	1	1	yes	characteristic
577	C₂×#125	C₂²×C₅	1	1	yes	characteristic
578	C₂×#125	C₂²×C₅	1	1	yes	characteristic
579	C₂×#123	C₂²×C₅	1	1	yes	characteristic
580	C₂×#123	C₂²×C₅	1	1	yes	characteristic
581	C₂×#123	C₂²×C₅	1	1	yes	characteristic
582	C₂×#123	C₂²×C₅	1	1	yes	characteristic
583	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
584	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
585	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
586	C₂×#121	C₂²×C₅	1	1	yes	characteristic
587	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
588	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
589	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
590	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
591	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
592	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
593	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
594	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
595	C₂×#117	C₂²×C₅	1	1	yes	characteristic
596	C₂×#117	C₂²×C₅	1	1	yes	characteristic
597	C₂×#117	C₂²×C₅	1	1	yes	characteristic
598	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
599	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
600	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
601	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
602	#391	C₂²×C₅	1	1	yes	characteristic
603	#391	C₂²×C₅	1	1	yes	characteristic
604	#391	C₂²×C₅	1	1	yes	characteristic
605	#390	C₂²×C₅	1	1	yes	characteristic
606	#389	C₂²×C₅	1	1	yes	characteristic
607	#389	C₂²×C₅	1	1	yes	characteristic
608	#389	C₂²×C₅	1	1	yes	characteristic
609	#389	C₂²×C₅	1	1	yes	characteristic
610	#389	C₂²×C₅	1	1	yes	characteristic
611	#389	C₂²×C₅	1	1	yes	characteristic
612	#389	C₂²×C₅	1	1	yes	characteristic
613	#389	C₂²×C₅	1	1	yes	characteristic
614	#388	C₂²×C₅	1	1	yes	characteristic
615	#388	C₂²×C₅	1	1	yes	characteristic
616	#388	C₂²×C₅	1	1	yes	characteristic
617	#388	C₂²×C₅	1	1	yes	characteristic
618	#388	C₂²×C₅	1	1	yes	characteristic
619	#388	C₂²×C₅	1	1	yes	characteristic
620	#388	C₂²×C₅	1	1	yes	characteristic
621	#388	C₂²×C₅	1	1	yes	characteristic
622	#388	C₂²×C₅	1	1	yes	characteristic
623	#388	C₂²×C₅	1	1	yes	characteristic
624	#388	C₂²×C₅	1	1	yes	characteristic
625	#388	C₂²×C₅	1	1	yes	characteristic
626	#388	C₂²×C₅	1	1	yes	characteristic
627	#388	C₂²×C₅	1	1	yes	characteristic
628	#388	C₂²×C₅	1	1	yes	characteristic
629	#388	C₂²×C₅	1	1	yes	characteristic
630	#387	C₂²×C₅	1	1	yes	characteristic
631	#387	C₂²×C₅	1	1	yes	characteristic
632	#387	C₂²×C₅	1	1	yes	characteristic
633	#387	C₂²×C₅	1	1	yes	characteristic
634	#387	C₂²×C₅	1	1	yes	characteristic
635	#387	C₂²×C₅	1	1	yes	characteristic
636	#387	C₂²×C₅	1	1	yes	characteristic
637	#387	C₂²×C₅	1	1	yes	characteristic
638	#387	C₂²×C₅	1	1	yes	characteristic
639	#387	C₂²×C₅	1	1	yes	characteristic
640	#387	C₂²×C₅	1	1	yes	characteristic
641	#387	C₂²×C₅	1	1	yes	characteristic
642	#387	C₂²×C₅	1	1	yes	characteristic
643	#387	C₂²×C₅	1	1	yes	characteristic
644	#387	C₂²×C₅	1	1	yes	characteristic
645	#387	C₂²×C₅	1	1	yes	characteristic
646	#387	C₂²×C₅	1	1	yes	characteristic
647	#387	C₂²×C₅	1	1	yes	characteristic
648	#387	C₂²×C₅	1	1	yes	characteristic
649	#387	C₂²×C₅	1	1	yes	characteristic
650	#387	C₂²×C₅	1	1	yes	characteristic
651	#387	C₂²×C₅	1	1	yes	characteristic
652	#387	C₂²×C₅	1	1	yes	characteristic
653	#387	C₂²×C₅	1	1	yes	characteristic
654	#387	C₂²×C₅	1	1	yes	characteristic
655	#387	C₂²×C₅	1	1	yes	characteristic
656	#387	C₂²×C₅	1	1	yes	characteristic
657	#387	C₂²×C₅	1	1	yes	characteristic
658	#386	C₂²×C₅	1	1	yes	characteristic
659	#386	C₂²×C₅	1	1	yes	characteristic
660	#386	C₂²×C₅	1	1	yes	characteristic
661	#386	C₂²×C₅	1	1	yes	characteristic
662	#386	C₂²×C₅	1	1	yes	characteristic
663	#386	C₂²×C₅	1	1	yes	characteristic
664	#385	C₂²×C₅	1	1	yes	characteristic
665	#385	C₂²×C₅	1	1	yes	characteristic
666	#385	C₂²×C₅	1	1	yes	characteristic
667	#385	C₂²×C₅	1	1	yes	characteristic
668	#385	C₂²×C₅	1	1	yes	characteristic
669	#385	C₂²×C₅	1	1	yes	characteristic
670	#385	C₂²×C₅	1	1	yes	characteristic
671	#385	C₂²×C₅	1	1	yes	characteristic
672	#385	C₂²×C₅	1	1	yes	characteristic
673	#385	C₂²×C₅	1	1	yes	characteristic
674	#383	C₂²×C₅	1	1	yes	characteristic
675	#382	C₂²×C₅	1	1	yes	characteristic
676	#381	C₂²×C₅	1	1	yes	characteristic
677	#380	C₂²×C₅	1	1	yes	characteristic
678	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
679	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
680	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
681	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
682	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
683	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
684	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
685	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
686	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
687	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
688	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
689	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
690	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
691	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
692	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
693	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
694	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
695	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
696	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
697	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
698	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
699	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
700	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
701	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
702	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
703	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
704	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
705	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
706	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
707	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
708	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
709	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
710	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
711	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
712	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
713	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
714	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
715	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
716	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
717	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
718	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
719	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
720	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
721	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
722	#376	C₂²×C₅	1	1	yes	characteristic
723	#376	C₂²×C₅	1	1	yes	characteristic
724	C₂×#95	C₂²×C₅	1	1	yes	characteristic
725	C₂×#95	C₂²×C₅	1	1	yes	characteristic
726	C₂×#95	C₂²×C₅	1	1	yes	characteristic
727	C₂×#95	C₂²×C₅	1	1	yes	characteristic
728	C₂×#95	C₂²×C₅	1	1	yes	characteristic
729	C₄³	C₂²×C₅	1	1	yes	characteristic
730	C₂³×C₅	—	2	1	no	—
731	C₂³×C₅	—	2	1	no	—
732	C₂³×C₅	—	2	1	no	—
733	C₂³×C₅	—	2	1	no	—
734	C₂³×C₅	—	2	1	no	—
735	C₂³×C₅	—	2	1	no	—
736	C₂³×C₅	—	2	1	no	—
737	C₂³×C₅	—	2	1	no	—
738	C₂³×C₅	—	2	1	no	—
739	C₂³×C₅	—	2	1	no	—
740	C₂³×C₅	—	2	1	no	—
741	C₂³×C₅	—	2	1	no	—
742	C₂³×C₅	—	2	1	no	—
743	C₂³×C₅	—	2	1	no	—
744	C₂³×C₅	—	2	1	no	—
745	C₂³×C₅	—	2	1	no	—
746	C₂³×C₅	C₂³×C₄	1	2	yes	—
747	C₂³×C₅	C₂³×C₄	1	2	yes	—
748	C₂³×C₅	C₂³×C₄	1	2	yes	—
749	C₂³×C₅	C₂×#41	1	2	yes	—
750	C₂³×C₅	C₂×#41	1	2	yes	—
751	C₂³×C₅	C₂⁵	1	1	yes	characteristic
752	C₅×Q₈	—	4	4	no	—
753	C₅×D₄	—	2	8	no	—
754	C₅×D₄	—	2	8	no	—
755	C₅×D₄	—	4	4	no	—
756	C₂×C₄×C₅	—	2	8	no	—
757	C₂×C₄×C₅	—	2	1	no	—
758	C₂×C₄×C₅	—	2	1	no	—
759	C₂×C₄×C₅	—	2	1	no	—
760	C₂×C₄×C₅	—	2	1	no	—
761	C₂×C₄×C₅	—	2	1	no	—
762	C₂×C₄×C₅	—	2	1	no	—
763	C₂×C₄×C₅	—	2	1	no	—
764	C₂×C₄×C₅	—	2	1	no	—
765	C₂×C₄×C₅	—	2	1	no	—
766	C₂×C₄×C₅	—	2	1	no	—
767	C₂×C₄×C₅	—	2	1	no	—
768	C₂×C₄×C₅	—	2	1	no	—
769	C₂×C₄×C₅	—	2	1	no	—
770	C₂×C₄×C₅	—	2	1	no	—
771	C₂×C₄×C₅	—	2	1	no	—
772	C₂×C₄×C₅	—	2	1	no	—
773	C₂×C₄×C₅	—	2	1	no	—
774	C₂×C₄×C₅	—	2	1	no	—
775	C₂×C₄×C₅	—	2	1	no	—
776	C₂×C₄×C₅	—	2	1	no	—
777	C₂×C₄×C₅	—	2	1	no	—
778	C₂×C₄×C₅	—	2	1	no	—
779	C₂×C₄×C₅	—	2	1	no	—
780	C₂×C₄×C₅	—	2	1	no	—
781	C₂×C₄×C₅	—	2	1	no	—
782	C₂×C₄×C₅	—	2	1	no	—
783	C₂×C₄×C₅	—	2	1	no	—
784	C₂×C₄×C₅	—	2	1	no	—
785	C₂×C₄×C₅	—	2	1	no	—
786	C₂×C₄×C₅	—	2	1	no	—
787	C₂×C₄×C₅	—	2	1	no	—
788	C₂×C₄×C₅	—	2	1	no	—
789	C₂×C₄×C₅	—	2	1	no	—
790	C₂×C₄×C₅	—	2	1	no	—
791	C₂×C₄×C₅	—	2	1	no	—
792	C₂×C₄×C₅	—	2	1	no	—
793	C₂×C₄×C₅	—	2	1	no	—
794	C₂×C₄×C₅	—	2	1	no	—
795	C₂×C₄×C₅	—	2	1	no	—
796	C₂×C₄×C₅	—	2	1	no	—
797	C₂×C₄×C₅	—	2	1	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	—	4	4	no	—
824	C₂×C₄×C₅	—	4	4	no	—
825	C₂×C₄×C₅	—	4	4	no	—
826	C₂×C₄×C₅	—	4	4	no	—
827	C₂×C₄×C₅	—	4	4	no	—
828	C₂×C₄×C₅	—	4	4	no	—
829	C₂×C₄×C₅	—	4	4	no	—
830	C₂×C₄×C₅	—	4	4	no	—
831	C₂×C₄×C₅	—	8	2	no	—
832	C₂×C₄×C₅	—	8	2	no	—
833	C₂×C₄×C₅	—	8	2	no	—
834	C₂×C₄×C₅	—	8	2	no	—
835	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
836	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
837	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
838	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
839	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
840	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
841	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
842	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
843	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
844	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
845	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
846	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
847	C₂×C₄×C₅	C₂×#41	1	2	yes	—
848	C₂×C₄×C₅	C₂×#41	1	2	yes	—
849	C₂×C₄×C₅	C₂×#41	1	2	yes	—
850	C₂×C₄×C₅	C₂×#41	1	2	yes	—
851	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
852	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
853	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
854	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
855	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
856	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
857	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
858	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
859	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
860	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
861	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
862	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
863	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
864	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
865	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
866	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
867	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
868	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
869	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
870	#126	C₂×C₄×C₅	1	8	yes	complemented
871	#126	C₂×C₄×C₅	1	8	yes	complemented
872	#125	C₂×C₄×C₅	1	8	yes	complemented
873	#125	C₂×C₄×C₅	1	8	yes	complemented
874	#123	C₂×C₄×C₅	1	8	yes	complemented
875	#123	C₂×C₄×C₅	1	8	yes	complemented
876	#123	C₂×C₄×C₅	1	8	yes	complemented
877	#123	C₂×C₄×C₅	1	8	yes	complemented
878	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
879	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
880	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
881	#121	C₂×C₄×C₅	1	8	yes	—
882	C₄×Q₈	—	4	2	no	—
883	C₄×D₄	—	2	4	no	—
884	C₄×D₄	—	2	4	no	—
885	C₄×D₄	—	2	4	no	—
886	C₄×D₄	—	2	4	no	—
887	C₄×D₄	—	4	2	no	—
888	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
889	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
890	#117	—	2	4	no	—
891	#117	—	2	4	no	—
892	#117	—	4	2	no	—
893	C₂×C₄⋊C₄	—	4	2	no	—
894	C₂×C₄⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
895	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
950	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
951	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
952	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
955	C₂×C₄²	—	4	2	no	—
956	C₂×C₄²	—	4	2	no	—
957	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
958	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
959	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
960	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
961	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
962	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
963	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
964	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
965	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
966	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
967	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
968	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
969	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
970	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
971	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
972	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
973	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
974	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
975	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
976	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
977	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
978	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
979	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
980	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
981	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
982	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
983	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
984	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
985	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
986	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
987	#95	C₂³×C₅	1	1	yes	characteristic
988	#95	C₂³×C₅	1	1	yes	characteristic
989	#95	C₂³×C₅	1	1	yes	characteristic
990	#95	C₂³×C₅	1	1	yes	characteristic
991	#95	C₂³×C₅	1	1	yes	characteristic
992	#95	C₂³×C₅	1	1	yes	characteristic
993	#95	C₂³×C₅	1	1	yes	characteristic
994	#95	C₂³×C₅	1	1	yes	characteristic
995	#95	C₂³×C₅	1	1	yes	characteristic
996	#95	C₂³×C₅	1	1	yes	characteristic
997	#95	C₂³×C₅	1	1	yes	characteristic
998	#95	C₂³×C₅	1	1	yes	characteristic
999	#95	C₂³×C₅	1	1	yes	characteristic
1000	#95	C₂³×C₅	1	1	yes	characteristic
1001	#95	C₂³×C₅	1	1	yes	characteristic
1002	#95	C₂³×C₅	1	1	yes	characteristic
1003	#95	C₂³×C₅	1	1	yes	characteristic
1004	#95	C₂³×C₅	1	1	yes	characteristic
1005	#95	C₂³×C₅	1	1	yes	characteristic
1006	#95	C₂³×C₅	1	1	yes	characteristic
1007	#95	C₂³×C₅	1	1	yes	characteristic
1008	#95	C₂³×C₅	1	1	yes	characteristic
1009	#95	C₂³×C₅	1	1	yes	characteristic
1010	#95	C₂³×C₅	1	1	yes	characteristic
1011	#95	C₂³×C₅	1	1	yes	characteristic
1012	#95	C₂³×C₅	1	1	yes	characteristic
1013	#95	C₂³×C₅	1	1	yes	characteristic
1014	#95	C₂³×C₅	1	1	yes	characteristic
1015	#95	C₂³×C₅	1	1	yes	characteristic
1016	#95	C₂³×C₅	1	1	yes	characteristic
1017	#95	C₂³×C₅	1	1	yes	characteristic
1018	#95	C₂³×C₅	1	1	yes	characteristic
1019	#95	C₂³×C₅	1	1	yes	characteristic
1020	#95	C₂³×C₅	1	1	yes	characteristic
1021	#95	C₂³×C₅	1	1	yes	characteristic
1022	#95	C₂³×C₅	1	1	yes	characteristic
1023	#95	C₂³×C₅	1	1	yes	characteristic
1024	#95	C₂³×C₅	1	1	yes	characteristic
1025	#95	C₂³×C₅	1	1	yes	characteristic
1026	#95	C₂³×C₅	1	1	yes	characteristic
1027	#95	C₂³×C₅	1	1	yes	characteristic
1028	#95	C₂³×C₅	1	1	yes	characteristic
1029	#95	C₂³×C₅	1	1	yes	characteristic
1030	#95	C₂³×C₅	1	1	yes	characteristic
1031	#95	C₂³×C₅	1	1	yes	characteristic
1032	#95	C₂³×C₅	1	1	yes	characteristic
1033	#95	C₂³×C₅	1	1	yes	characteristic
1034	#95	C₂³×C₅	1	1	yes	characteristic
1035	C₂²×C₅	—	2	2	no	—
1036	C₂²×C₅	—	2	2	no	—
1037	C₂²×C₅	—	2	2	no	—
1038	C₂²×C₅	—	2	2	no	—
1039	C₂²×C₅	—	2	2	no	—
1040	C₂²×C₅	—	2	2	no	—
1041	C₂²×C₅	—	2	2	no	—
1042	C₂²×C₅	—	2	2	no	—
1043	C₂²×C₅	—	2	2	no	—
1044	C₂²×C₅	—	2	2	no	—
1045	C₂²×C₅	—	2	2	no	—
1046	C₂²×C₅	—	2	2	no	—
1047	C₂²×C₅	—	4	1	no	—
1048	C₂²×C₅	—	4	1	no	—
1049	C₂²×C₅	—	4	1	no	—
1050	C₂²×C₅	—	4	1	no	—
1051	C₂²×C₅	—	4	1	no	—
1052	C₂²×C₅	—	4	1	no	—
1053	C₂²×C₅	—	4	1	no	—
1054	C₂²×C₅	—	4	1	no	—
1055	C₂²×C₅	C₄×#41	1	4	yes	—
1056	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1057	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1058	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1059	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1060	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1061	C₂²×C₅	#585	1	1	yes	characteristic
1062	C₂²×C₅	#585	1	1	yes	characteristic
1063	C₄×C₅	—	2	2	no	—
1064	C₄×C₅	—	2	2	no	—
1065	C₄×C₅	—	2	2	no	—
1066	C₄×C₅	—	2	2	no	—
1067	C₄×C₅	—	2	2	no	—
1068	C₄×C₅	—	2	2	no	—
1069	C₄×C₅	—	2	2	no	—
1070	C₄×C₅	—	2	2	no	—
1071	C₄×C₅	—	2	2	no	—
1072	C₄×C₅	—	2	2	no	—
1073	C₄×C₅	—	2	2	no	—
1074	C₄×C₅	—	2	2	no	—
1075	C₄×C₅	—	2	2	no	—
1076	C₄×C₅	—	2	2	no	—
1077	C₄×C₅	—	2	2	no	—
1078	C₄×C₅	—	2	2	no	—
1079	C₄×C₅	—	2	2	no	—
1080	C₄×C₅	—	2	2	no	—
1081	C₄×C₅	—	4	1	no	—
1082	C₄×C₅	—	4	1	no	—
1083	C₄×C₅	—	4	1	no	—
1084	C₄×C₅	—	4	1	no	—
1085	C₄×C₅	—	4	1	no	—
1086	C₄×C₅	—	4	1	no	—
1087	C₄×C₅	—	4	1	no	—
1088	C₄×C₅	—	4	1	no	—
1089	C₄×C₅	—	4	1	no	—
1090	C₄×C₅	—	4	1	no	—
1091	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1092	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1093	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1094	C₂×Q₈	—	4	1	no	—
1095	C₂×Q₈	—	4	1	no	—
1096	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
1097	C₂×D₄	—	2	2	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	2	2	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	4	1	no	—
1102	C₂×D₄	—	4	1	no	—
1103	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1104	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1105	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1106	C₂²×C₄	—	2	2	no	—
1107	C₂²×C₄	—	2	2	no	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	2	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	2	no	—
1119	C₂²×C₄	—	2	2	no	—
1120	C₂²×C₄	—	4	1	no	—
1121	C₂²×C₄	—	4	1	no	—
1122	C₂²×C₄	—	4	1	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	1	no	—
1128	C₂²×C₄	—	4	1	no	—
1129	C₂²×C₄	—	4	1	no	—
1130	C₂²×C₄	—	4	1	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	4	1	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1141	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1142	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1143	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1144	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1145	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1147	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1148	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1156	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1161	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	—	2	2	no	—
1175	C₄⋊C₄	—	2	2	no	—
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	2	2	no	—
1178	C₄⋊C₄	—	2	2	no	—
1179	C₄⋊C₄	—	2	2	no	—
1180	C₄⋊C₄	—	2	2	no	—
1181	C₄⋊C₄	—	2	2	no	—
1182	C₄⋊C₄	—	2	2	no	—
1183	C₄⋊C₄	—	2	2	no	—
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	—	4	1	no	—
1193	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1194	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1195	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1196	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1197	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1198	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1199	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1200	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1201	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1202	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1203	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1204	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1205	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1206	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
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	—	4	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1222	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1223	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1224	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1225	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1226	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1227	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1228	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1229	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1230	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1231	C₂²⋊C₄	C₅×#41	1	4	yes	—
1232	C₂²⋊C₄	C₅×#41	1	4	yes	—
1233	C₄²	—	2	2	no	—
1234	C₄²	—	2	2	no	—
1235	C₄²	—	2	2	no	—
1236	C₄²	—	2	2	no	—
1237	C₄²	—	2	2	no	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	2	2	no	—
1240	C₄²	—	2	2	no	—
1241	C₄²	—	2	2	no	—
1242	C₄²	—	2	2	no	—
1243	C₄²	—	2	2	no	—
1244	C₄²	—	2	2	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	4	1	no	—
1249	C₄²	—	4	1	no	—
1250	C₄²	—	4	1	no	—
1251	C₄²	—	4	1	no	—
1252	C₄²	—	4	1	no	—
1253	C₄²	—	4	1	no	—
1254	C₄²	—	4	1	no	—
1255	C₄²	—	4	1	no	—
1256	C₄²	—	4	1	no	—
1257	C₄²	—	4	1	no	—
1258	C₄²	—	4	1	no	—
1259	C₄²	—	4	1	no	—
1260	C₄²	—	4	1	no	—
1261	C₄²	C₂²×C₄×C₅	1	4	yes	—
1262	C₄²	C₂²×C₄×C₅	1	4	yes	—
1263	C₂×C₅	—	2	4	no	—
1264	C₂×C₅	—	4	2	no	—
1265	C₂×C₅	—	4	2	no	—
1266	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1267	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1268	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1269	C₂×C₅	#3513	1	1	yes	characteristic
1270	C₂×C₅	#3515	1	1	yes	characteristic
1271	C₂×C₅	#3520	1	1	yes	characteristic
1272	C₂×C₅	#3521	1	1	yes	characteristic
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	C₂³×C₄×C₅	1	2	yes	—
1290	C₂³	C₂³×C₄×C₅	1	2	yes	—
1291	C₂³	C₂³×C₄×C₅	1	2	yes	—
1292	C₂³	C₂×C₅×#41	1	2	yes	—
1293	C₂³	C₂×C₅×#41	1	2	yes	—
1294	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1295	Q₈	—	4	4	no	—
1296	D₄	—	2	8	no	—
1297	D₄	—	2	8	no	—
1298	D₄	—	4	4	no	—
1299	C₂×C₄	—	2	8	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	4	4	no	—
1367	C₂×C₄	—	4	4	no	—
1368	C₂×C₄	—	4	4	no	—
1369	C₂×C₄	—	4	4	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	4	4	no	—
1372	C₂×C₄	—	4	4	no	—
1373	C₂×C₄	—	4	4	no	—
1374	C₂×C₄	—	8	2	no	—
1375	C₂×C₄	—	8	2	no	—
1376	C₂×C₄	—	8	2	no	—
1377	C₂×C₄	—	8	2	no	—
1378	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1379	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1380	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1381	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1382	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1383	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1384	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1385	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1386	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1387	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1388	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1389	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1390	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1391	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1392	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1393	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1394	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1395	C₂×C₄	C₅×2₋¹⁺⁴	1	2	yes	—
1396	C₅	#34282	1	1	yes	characteristic, direct product factor, Sylow
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	2	no	—
1399	C₂²	—	2	2	no	—
1400	C₂²	—	2	2	no	—
1401	C₂²	—	2	2	no	—
1402	C₂²	—	2	2	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	2	2	no	—
1405	C₂²	—	2	2	no	—
1406	C₂²	—	2	2	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	1	no	—
1412	C₂²	—	4	1	no	—
1413	C₂²	—	4	1	no	—
1414	C₂²	—	4	1	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	C₄×C₅×#41	1	4	yes	—
1418	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1419	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1420	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1421	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1422	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1423	C₂²	C₅×#585	1	1	yes	characteristic
1424	C₂²	C₅×#585	1	1	yes	characteristic
1425	C₄	—	2	2	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	2	2	no	—
1428	C₄	—	2	2	no	—
1429	C₄	—	2	2	no	—
1430	C₄	—	2	2	no	—
1431	C₄	—	2	2	no	—
1432	C₄	—	2	2	no	—
1433	C₄	—	2	2	no	—
1434	C₄	—	2	2	no	—
1435	C₄	—	2	2	no	—
1436	C₄	—	2	2	no	—
1437	C₄	—	2	2	no	—
1438	C₄	—	2	2	no	—
1439	C₄	—	2	2	no	—
1440	C₄	—	2	2	no	—
1441	C₄	—	2	2	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	—	4	1	no	—
1451	C₄	—	4	1	no	—
1452	C₄	—	4	1	no	—
1453	C₂	—	2	4	no	—
1454	C₂	—	4	2	no	—
1455	C₂	—	4	2	no	—
1456	C₂	C₂×C₄×C₅×#41	1	1	yes	characteristic
1457	C₂	C₄×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1458	C₂	C₄×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1459	C₂	C₅×#3513	1	1	yes	characteristic
1460	C₂	C₅×#3515	1	1	yes	characteristic
1461	C₂	C₅×#3520	1	1	yes	characteristic
1462	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×#121	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×#2374	C₂	semidirect
3. C₅×#2373	C₂	semidirect
4. C₅×#2373	C₂	semidirect
5. C₅×#2371	C₂	semidirect
6. C₅×#2370	C₂	semidirect
7. C₅×#2368	C₂	semidirect
8. C₅×#2368	C₂	semidirect
10. C₅×#2362	C₂	semidirect
12. C₅×#2360	C₂	semidirect
13. C₅×#2359	C₂	semidirect
14. C₅×#2359	C₂	semidirect
15. C₅×#2359	C₂	semidirect
16. C₅×#2359	C₂	semidirect
17. C₅×#2359	C₂	semidirect
18. C₅×#2336	C₂	semidirect
19. C₅×#2335	C₂	semidirect
20. C₅×#2334	C₂	semidirect
21. C₅×#2332	C₂	semidirect
22. C₅×#2318	C₂	semidirect
23. C₄×C₅×#125	C₂	semidirect
24. C₄×C₅×#126	C₂	semidirect
25. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
26. C₄×C₅×#123	C₂	semidirect
27. C₅×#2290	C₂	semidirect
28. C₂×C₅×#387	C₂	semidirect
29. C₅×#2275	C₂	semidirect
30. C₅×#2274	C₂	semidirect
31. C₄²×C₅×D₄	C₂	semidirect
32. C₅×#539	C₄	semidirect
188. #34282	C₅	direct (N × H)
206. C₅×#126	C₂×C₄	semidirect
207. C₅×#126	C₂×C₄	semidirect
208. C₅×#125	C₂×C₄	semidirect
209. C₅×#125	C₂×C₄	semidirect
210. C₅×#123	C₂×C₄	semidirect
211. C₅×#123	C₂×C₄	semidirect
212. C₅×#123	C₂×C₄	semidirect
213. C₅×#123	C₂×C₄	semidirect
214. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
215. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
216. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
224. C₄×C₅×D₄	C₂×C₄	semidirect
225. C₄×C₅×D₄	C₂×C₄	semidirect
230. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
372. #2374	C₂×C₅	semidirect
373. #2373	C₂×C₅	semidirect
374. #2373	C₂×C₅	semidirect
375. #2371	C₂×C₅	semidirect
376. #2370	C₂×C₅	semidirect
377. #2368	C₂×C₅	semidirect
378. #2368	C₂×C₅	semidirect
380. #2362	C₂×C₅	semidirect
382. #2360	C₂×C₅	semidirect
383. #2359	C₂×C₅	semidirect
384. #2359	C₂×C₅	semidirect
385. #2359	C₂×C₅	semidirect
386. #2359	C₂×C₅	semidirect
387. #2359	C₂×C₅	semidirect
388. #2336	C₂×C₅	semidirect
389. #2335	C₂×C₅	semidirect
390. #2334	C₂×C₅	semidirect
391. #2332	C₂×C₅	semidirect
392. #2318	C₂×C₅	semidirect
393. C₄×#125	C₂×C₅	semidirect
394. C₄×#126	C₂×C₅	semidirect
395. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
396. C₄×#123	C₂×C₅	semidirect
397. #2290	C₂×C₅	semidirect
398. C₂×#387	C₂×C₅	semidirect
399. #2275	C₂×C₅	semidirect
400. #2274	C₂×C₅	semidirect
401. C₄²×D₄	C₂×C₅	semidirect
574. #539	C₄×C₅	semidirect
870. #126	C₂×C₄×C₅	semidirect
871. #126	C₂×C₄×C₅	semidirect
872. #125	C₂×C₄×C₅	semidirect
873. #125	C₂×C₄×C₅	semidirect
874. #123	C₂×C₄×C₅	semidirect
875. #123	C₂×C₄×C₅	semidirect
876. #123	C₂×C₄×C₅	semidirect
877. #123	C₂×C₄×C₅	semidirect
878. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
879. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
880. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
888. C₄×D₄	C₂×C₄×C₅	semidirect
889. C₄×D₄	C₂×C₄×C₅	semidirect
894. C₂×C₄⋊C₄	C₂×C₄×C₅	semidirect
1396. C₅	#34282	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×#539	2
C₅×#2374	2
C₅×#2373	2
C₅×#2371	2
C₅×#2370	2
C₅×#2368	2
C₅×#2364	2
C₅×#2362	2
C₅×#2361	2
C₅×#2360	2
C₅×#2359	2
C₅×#2336	2
C₅×#2335	2
C₅×#2334	2
C₅×#2332	2
C₅×#2318	2
C₄×C₅×#125	2
C₄×C₅×#126	2
C₄×C₅×C₂²⋊Q₈	2
C₄×C₅×#123	2
C₅×#2290	2
C₂×C₅×#387	2
C₅×#2275	2
C₅×#2274	2
C₄²×C₅×D₄	2
#34282	5

Subgroups — C5×#34282 #11957002

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34282 #11957002