Subgroups — C₅×#34315 #11957035

Order 1280.

2396 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#551	C₂	1	1	yes	maximal, characteristic
2	C₅×#2374	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2374	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2373	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2373	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×#2362	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2359	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2358	C₂	1	1	yes	maximal, characteristic
11	C₅×#2357	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2353	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2347	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2343	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2342	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2342	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2337	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2332	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2322	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2321	C₂	1	1	yes	maximal, characteristic
23	C₄×C₅×#126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅×#2298	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×#2274	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×#551	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×#123	C₂²	1	1	yes	characteristic
37	C₂×C₅×#123	C₂²	1	1	yes	characteristic
38	C₂×C₅×#123	C₂²	1	1	yes	characteristic
39	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₅×#120	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
48	C₂×C₅×#117	C₂²	1	1	yes	characteristic
49	C₂×C₅×#117	C₂²	1	1	yes	characteristic
50	C₂×C₅×#117	C₂²	1	1	yes	characteristic
51	C₂×C₅×#117	C₂²	1	1	yes	characteristic
52	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
59	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
60	C₅×#391	C₂²	1	1	yes	characteristic, complemented
61	C₅×#391	C₂²	1	1	yes	characteristic, complemented
62	C₅×#391	C₂²	1	1	yes	characteristic, complemented
63	C₅×#390	C₂²	1	1	yes	characteristic
64	C₅×#390	C₂²	1	1	yes	characteristic
65	C₅×#390	C₂²	1	1	yes	characteristic
66	C₅×#389	C₂²	1	1	yes	characteristic, complemented
67	C₅×#389	C₂²	1	1	yes	characteristic, complemented
68	C₅×#389	C₂²	1	1	yes	characteristic, complemented
69	C₅×#389	C₂²	1	1	yes	characteristic, complemented
70	C₅×#388	C₂²	1	1	yes	characteristic
71	C₅×#388	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×#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, complemented
93	C₅×#388	C₂²	1	1	yes	characteristic, complemented
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×#387	C₂²	1	1	yes	characteristic, complemented
99	C₅×#387	C₂²	1	1	yes	characteristic, complemented
100	C₅×#387	C₂²	1	1	yes	characteristic, complemented
101	C₅×#387	C₂²	1	1	yes	characteristic, complemented
102	C₅×#387	C₂²	1	1	yes	characteristic, complemented
103	C₅×#387	C₂²	1	1	yes	characteristic, complemented
104	C₅×#387	C₂²	1	1	yes	characteristic, complemented
105	C₅×#387	C₂²	1	1	yes	characteristic, complemented
106	C₅×#387	C₂²	1	1	yes	characteristic, complemented
107	C₅×#387	C₂²	1	1	yes	characteristic, complemented
108	C₅×#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×#385	C₂²	1	1	yes	characteristic
121	C₅×#385	C₂²	1	1	yes	characteristic
122	C₅×#385	C₂²	1	1	yes	characteristic
123	C₅×#385	C₂²	1	1	yes	characteristic
124	C₅×#385	C₂²	1	1	yes	characteristic
125	C₅×#385	C₂²	1	1	yes	characteristic
126	C₅×#385	C₂²	1	1	yes	characteristic
127	C₅×#385	C₂²	1	1	yes	characteristic, complemented
128	C₅×#385	C₂²	1	1	yes	characteristic, complemented
129	C₅×#385	C₂²	1	1	yes	characteristic, complemented
130	C₅×#383	C₂²	1	1	yes	characteristic, complemented
131	C₅×#383	C₂²	1	1	yes	characteristic, complemented
132	C₅×#382	C₂²	1	1	yes	characteristic, complemented
133	C₅×#381	C₂²	1	1	yes	characteristic
134	C₅×#381	C₂²	1	1	yes	characteristic
135	C₅×#381	C₂²	1	1	yes	characteristic, complemented
136	C₅×#380	C₂²	1	1	yes	characteristic
137	C₅×#380	C₂²	1	1	yes	characteristic
138	C₅×#379	C₂²	1	1	yes	characteristic
139	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
140	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
141	C₄×C₅×C₄⋊C₄	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×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	C₄×C₅×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
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, 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	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₅×#376	C₂²	1	1	yes	characteristic, complemented
184	C₅×#376	C₂²	1	1	yes	characteristic, complemented
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, complemented
188	#34315	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
189	C₂⁵×C₅	C₂³	1	1	yes	characteristic
190	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅	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	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
207	C₅×#126	C₂×C₄	1	8	yes	complemented
208	C₅×#126	C₂×C₄	1	8	yes	complemented
209	C₅×#124	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×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
214	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
215	C₅×#120	C₂×C₄	1	8	yes	—
216	C₄×C₅×Q₈	—	4	2	no	—
217	C₄×C₅×D₄	—	2	4	no	—
218	C₄×C₅×D₄	—	2	4	no	—
219	C₄×C₅×D₄	—	4	2	no	—
220	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
221	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
222	C₅×#117	—	2	4	no	—
223	C₅×#117	—	4	2	no	—
224	C₅×#117	C₂×C₄	1	8	yes	complemented
225	C₅×#117	C₂×C₄	1	8	yes	complemented
226	C₂×C₅×C₄⋊C₄	—	2	4	no	—
227	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
254	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
255	C₂×C₅×C₂²⋊C₄	—	4	2	no	—
256	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
257	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
258	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₅×C₂²⋊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×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×C₄²×C₅	—	4	2	no	—
297	C₂×C₄²×C₅	—	4	2	no	—
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	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	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×#551	C₂×C₅	1	1	yes	characteristic
372	#2374	C₂×C₅	1	1	yes	characteristic, complemented
373	#2374	C₂×C₅	1	1	yes	characteristic, complemented
374	#2373	C₂×C₅	1	1	yes	characteristic, complemented
375	#2373	C₂×C₅	1	1	yes	characteristic, complemented
376	#2368	C₂×C₅	1	1	yes	characteristic, complemented
377	#2367	C₂×C₅	1	1	yes	characteristic, complemented
378	#2362	C₂×C₅	1	1	yes	characteristic, complemented
379	#2359	C₂×C₅	1	1	yes	characteristic, complemented
380	#2358	C₂×C₅	1	1	yes	characteristic
381	#2357	C₂×C₅	1	1	yes	characteristic, complemented
382	#2353	C₂×C₅	1	1	yes	characteristic, complemented
383	#2347	C₂×C₅	1	1	yes	characteristic, complemented
384	#2343	C₂×C₅	1	1	yes	characteristic, complemented
385	#2342	C₂×C₅	1	1	yes	characteristic, complemented
386	#2342	C₂×C₅	1	1	yes	characteristic, complemented
387	#2337	C₂×C₅	1	1	yes	characteristic, complemented
388	#2335	C₂×C₅	1	1	yes	characteristic, complemented
389	#2334	C₂×C₅	1	1	yes	characteristic, complemented
390	#2332	C₂×C₅	1	1	yes	characteristic, complemented
391	#2322	C₂×C₅	1	1	yes	characteristic, complemented
392	#2321	C₂×C₅	1	1	yes	characteristic
393	C₄×#126	C₂×C₅	1	1	yes	characteristic, complemented
394	C₄×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
395	C₄×#123	C₂×C₅	1	1	yes	characteristic, complemented
396	#2298	C₂×C₅	1	1	yes	characteristic, complemented
397	#2290	C₂×C₅	1	1	yes	characteristic, complemented
398	C₂×#388	C₂×C₅	1	1	yes	characteristic, complemented
399	#2274	C₂×C₅	1	1	yes	characteristic, complemented
400	#2273	C₂×C₅	1	1	yes	characteristic, complemented
401	C₄²×D₄	C₂×C₅	1	1	yes	characteristic, complemented
402	C₂⁴×C₅	—	2	2	no	—
403	C₂⁴×C₅	—	2	2	no	—
404	C₂⁴×C₅	—	4	1	no	—
405	C₂⁴×C₅	—	4	1	no	—
406	C₂⁴×C₅	—	4	1	no	—
407	C₂⁴×C₅	—	4	1	no	—
408	C₂⁴×C₅	C₂²×C₄	1	4	yes	—
409	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
410	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
411	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
412	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
413	C₂×C₅×Q₈	—	4	1	no	—
414	C₂×C₅×Q₈	—	4	1	no	—
415	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
416	C₂×C₅×D₄	—	2	2	no	—
417	C₂×C₅×D₄	—	2	2	no	—
418	C₂×C₅×D₄	—	4	1	no	—
419	C₂×C₅×D₄	—	4	1	no	—
420	C₂×C₅×D₄	—	4	1	no	—
421	C₂×C₅×D₄	—	4	1	no	—
422	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
423	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
424	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
432	C₂²×C₄×C₅	—	2	2	no	—
433	C₂²×C₄×C₅	—	2	2	no	—
434	C₂²×C₄×C₅	—	2	2	no	—
435	C₂²×C₄×C₅	—	2	2	no	—
436	C₂²×C₄×C₅	—	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	—	4	1	no	—
452	C₂²×C₄×C₅	—	4	1	no	—
453	C₂²×C₄×C₅	—	4	1	no	—
454	C₂²×C₄×C₅	—	4	1	no	—
455	C₂²×C₄×C₅	—	4	1	no	—
456	C₂²×C₄×C₅	—	4	1	no	—
457	C₂²×C₄×C₅	—	4	1	no	—
458	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
459	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
460	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
461	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
462	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
463	C₂²×C₄×C₅	#41	1	4	yes	—
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	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
491	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	—	2	2	no	—
497	C₅×C₄⋊C₄	—	2	2	no	—
498	C₅×C₄⋊C₄	—	2	2	no	—
499	C₅×C₄⋊C₄	—	2	2	no	—
500	C₅×C₄⋊C₄	—	2	2	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	—	4	1	no	—
505	C₅×C₄⋊C₄	—	4	1	no	—
506	C₅×C₄⋊C₄	—	4	1	no	—
507	C₅×C₄⋊C₄	—	4	1	no	—
508	C₅×C₄⋊C₄	—	4	1	no	—
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×C₂²⋊C₄	—	2	2	no	—
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	—	2	2	no	—
527	C₅×C₂²⋊C₄	—	2	2	no	—
528	C₅×C₂²⋊C₄	—	2	2	no	—
529	C₅×C₂²⋊C₄	—	2	2	no	—
530	C₅×C₂²⋊C₄	—	4	1	no	—
531	C₅×C₂²⋊C₄	—	4	1	no	—
532	C₅×C₂²⋊C₄	—	4	1	no	—
533	C₅×C₂²⋊C₄	—	4	1	no	—
534	C₅×C₂²⋊C₄	—	4	1	no	—
535	C₅×C₂²⋊C₄	—	4	1	no	—
536	C₅×C₂²⋊C₄	—	4	1	no	—
537	C₅×C₂²⋊C₄	—	4	1	no	—
538	C₅×C₂²⋊C₄	—	4	1	no	—
539	C₅×C₂²⋊C₄	—	4	1	no	—
540	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
541	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
542	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
543	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
544	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
545	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
546	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
547	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
548	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
549	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
550	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
551	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
552	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
553	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
554	C₅×C₂²⋊C₄	#41	1	4	yes	—
555	C₄²×C₅	—	2	2	no	—
556	C₄²×C₅	—	2	2	no	—
557	C₄²×C₅	—	2	2	no	—
558	C₄²×C₅	—	2	2	no	—
559	C₄²×C₅	—	2	2	no	—
560	C₄²×C₅	—	2	2	no	—
561	C₄²×C₅	—	2	2	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	—	4	1	no	—
573	C₄²×C₅	—	4	1	no	—
574	C₄²×C₅	—	4	1	no	—
575	C₄²×C₅	—	4	1	no	—
576	C₄²×C₅	—	4	1	no	—
577	C₄²×C₅	—	4	1	no	—
578	C₄²×C₅	—	4	1	no	—
579	C₄²×C₅	—	4	1	no	—
580	C₄²×C₅	—	4	1	no	—
581	C₄²×C₅	C₂²×C₄	1	4	yes	—
582	C₄²×C₅	C₂²×C₄	1	4	yes	—
583	C₄²×C₅	C₂²×C₄	1	4	yes	—
584	#551	C₄×C₅	1	16	yes	complemented
585	C₂×#126	C₂²×C₅	1	1	yes	characteristic
586	C₂×#126	C₂²×C₅	1	1	yes	characteristic
587	C₂×#124	C₂²×C₅	1	1	yes	characteristic
588	C₂×#123	C₂²×C₅	1	1	yes	characteristic
589	C₂×#123	C₂²×C₅	1	1	yes	characteristic
590	C₂×#123	C₂²×C₅	1	1	yes	characteristic
591	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
592	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
593	C₂×#120	C₂²×C₅	1	1	yes	characteristic
594	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
595	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
596	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
597	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
598	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
599	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
600	C₂×#117	C₂²×C₅	1	1	yes	characteristic
601	C₂×#117	C₂²×C₅	1	1	yes	characteristic
602	C₂×#117	C₂²×C₅	1	1	yes	characteristic
603	C₂×#117	C₂²×C₅	1	1	yes	characteristic
604	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
605	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
606	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
607	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
608	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
609	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
610	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
611	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
612	#391	C₂²×C₅	1	1	yes	characteristic, complemented
613	#391	C₂²×C₅	1	1	yes	characteristic, complemented
614	#391	C₂²×C₅	1	1	yes	characteristic, complemented
615	#390	C₂²×C₅	1	1	yes	characteristic
616	#390	C₂²×C₅	1	1	yes	characteristic
617	#390	C₂²×C₅	1	1	yes	characteristic
618	#389	C₂²×C₅	1	1	yes	characteristic, complemented
619	#389	C₂²×C₅	1	1	yes	characteristic, complemented
620	#389	C₂²×C₅	1	1	yes	characteristic, complemented
621	#389	C₂²×C₅	1	1	yes	characteristic, complemented
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	#388	C₂²×C₅	1	1	yes	characteristic
631	#388	C₂²×C₅	1	1	yes	characteristic
632	#388	C₂²×C₅	1	1	yes	characteristic
633	#388	C₂²×C₅	1	1	yes	characteristic
634	#388	C₂²×C₅	1	1	yes	characteristic
635	#388	C₂²×C₅	1	1	yes	characteristic
636	#388	C₂²×C₅	1	1	yes	characteristic
637	#388	C₂²×C₅	1	1	yes	characteristic
638	#388	C₂²×C₅	1	1	yes	characteristic
639	#388	C₂²×C₅	1	1	yes	characteristic
640	#388	C₂²×C₅	1	1	yes	characteristic
641	#388	C₂²×C₅	1	1	yes	characteristic
642	#388	C₂²×C₅	1	1	yes	characteristic
643	#388	C₂²×C₅	1	1	yes	characteristic
644	#388	C₂²×C₅	1	1	yes	characteristic, complemented
645	#388	C₂²×C₅	1	1	yes	characteristic, complemented
646	#388	C₂²×C₅	1	1	yes	characteristic, complemented
647	#388	C₂²×C₅	1	1	yes	characteristic, complemented
648	#388	C₂²×C₅	1	1	yes	characteristic, complemented
649	#388	C₂²×C₅	1	1	yes	characteristic, complemented
650	#387	C₂²×C₅	1	1	yes	characteristic, complemented
651	#387	C₂²×C₅	1	1	yes	characteristic, complemented
652	#387	C₂²×C₅	1	1	yes	characteristic, complemented
653	#387	C₂²×C₅	1	1	yes	characteristic, complemented
654	#387	C₂²×C₅	1	1	yes	characteristic, complemented
655	#387	C₂²×C₅	1	1	yes	characteristic, complemented
656	#387	C₂²×C₅	1	1	yes	characteristic, complemented
657	#387	C₂²×C₅	1	1	yes	characteristic, complemented
658	#387	C₂²×C₅	1	1	yes	characteristic, complemented
659	#387	C₂²×C₅	1	1	yes	characteristic, complemented
660	#387	C₂²×C₅	1	1	yes	characteristic, complemented
661	#387	C₂²×C₅	1	1	yes	characteristic, complemented
662	#387	C₂²×C₅	1	1	yes	characteristic, complemented
663	#387	C₂²×C₅	1	1	yes	characteristic, complemented
664	#387	C₂²×C₅	1	1	yes	characteristic, complemented
665	#387	C₂²×C₅	1	1	yes	characteristic, complemented
666	#386	C₂²×C₅	1	1	yes	characteristic
667	#386	C₂²×C₅	1	1	yes	characteristic
668	#386	C₂²×C₅	1	1	yes	characteristic
669	#386	C₂²×C₅	1	1	yes	characteristic
670	#386	C₂²×C₅	1	1	yes	characteristic
671	#386	C₂²×C₅	1	1	yes	characteristic
672	#385	C₂²×C₅	1	1	yes	characteristic
673	#385	C₂²×C₅	1	1	yes	characteristic
674	#385	C₂²×C₅	1	1	yes	characteristic
675	#385	C₂²×C₅	1	1	yes	characteristic
676	#385	C₂²×C₅	1	1	yes	characteristic
677	#385	C₂²×C₅	1	1	yes	characteristic
678	#385	C₂²×C₅	1	1	yes	characteristic
679	#385	C₂²×C₅	1	1	yes	characteristic, complemented
680	#385	C₂²×C₅	1	1	yes	characteristic, complemented
681	#385	C₂²×C₅	1	1	yes	characteristic, complemented
682	#383	C₂²×C₅	1	1	yes	characteristic, complemented
683	#383	C₂²×C₅	1	1	yes	characteristic, complemented
684	#382	C₂²×C₅	1	1	yes	characteristic, complemented
685	#381	C₂²×C₅	1	1	yes	characteristic
686	#381	C₂²×C₅	1	1	yes	characteristic
687	#381	C₂²×C₅	1	1	yes	characteristic, complemented
688	#380	C₂²×C₅	1	1	yes	characteristic
689	#380	C₂²×C₅	1	1	yes	characteristic
690	#379	C₂²×C₅	1	1	yes	characteristic
691	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
692	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
693	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
694	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
695	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
696	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
697	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
698	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
699	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
700	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
701	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
702	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
703	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
704	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
705	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
706	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
707	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
708	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
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	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
723	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
724	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
725	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
726	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
727	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
728	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
729	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
730	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
731	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
732	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
733	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
734	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
735	#376	C₂²×C₅	1	1	yes	characteristic, complemented
736	#376	C₂²×C₅	1	1	yes	characteristic, complemented
737	C₂×#95	C₂²×C₅	1	1	yes	characteristic
738	C₂×#95	C₂²×C₅	1	1	yes	characteristic
739	C₄³	C₂²×C₅	1	1	yes	characteristic, complemented
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	—	2	1	no	—
747	C₂³×C₅	—	2	1	no	—
748	C₂³×C₅	—	2	1	no	—
749	C₂³×C₅	—	2	1	no	—
750	C₂³×C₅	—	2	1	no	—
751	C₂³×C₅	—	2	1	no	—
752	C₂³×C₅	—	2	1	no	—
753	C₂³×C₅	—	2	1	no	—
754	C₂³×C₅	—	2	1	no	—
755	C₂³×C₅	—	2	1	no	—
756	C₂³×C₅	—	2	1	no	—
757	C₂³×C₅	—	2	1	no	—
758	C₂³×C₅	—	2	1	no	—
759	C₂³×C₅	—	2	1	no	—
760	C₂³×C₅	—	2	1	no	—
761	C₂³×C₅	—	2	1	no	—
762	C₂³×C₅	—	2	8	no	—
763	C₂³×C₅	—	4	4	no	—
764	C₂³×C₅	—	4	4	no	—
765	C₂³×C₅	—	8	2	no	—
766	C₂³×C₅	—	8	2	no	—
767	C₂³×C₅	—	8	2	no	—
768	C₂³×C₅	—	8	2	no	—
769	C₂³×C₅	C₂³×C₄	1	2	yes	—
770	C₂³×C₅	C₂³×C₄	1	2	yes	—
771	C₂³×C₅	C₂³×C₄	1	2	yes	—
772	C₂³×C₅	C₂³×C₄	1	2	yes	—
773	C₂³×C₅	C₂×#41	1	2	yes	—
774	C₂³×C₅	C₂×#41	1	2	yes	—
775	C₂³×C₅	C₂⁵	1	1	yes	characteristic
776	C₅×Q₈	—	4	4	no	—
777	C₅×D₄	—	2	8	no	—
778	C₅×D₄	—	4	4	no	—
779	C₅×D₄	—	4	4	no	—
780	C₂×C₄×C₅	—	2	8	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	—	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	—	4	4	no	—
847	C₂×C₄×C₅	—	4	4	no	—
848	C₂×C₄×C₅	—	4	4	no	—
849	C₂×C₄×C₅	—	4	4	no	—
850	C₂×C₄×C₅	—	4	4	no	—
851	C₂×C₄×C₅	—	4	4	no	—
852	C₂×C₄×C₅	—	4	4	no	—
853	C₂×C₄×C₅	—	4	4	no	—
854	C₂×C₄×C₅	—	8	2	no	—
855	C₂×C₄×C₅	—	8	2	no	—
856	C₂×C₄×C₅	—	8	2	no	—
857	C₂×C₄×C₅	—	8	2	no	—
858	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
859	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
860	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
861	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
862	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
863	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
864	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
865	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
866	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
867	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
868	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
869	C₂×C₄×C₅	C₂×#41	1	2	yes	—
870	C₂×C₄×C₅	C₂×#41	1	2	yes	—
871	C₂×C₄×C₅	C₂×#41	1	2	yes	—
872	C₂×C₄×C₅	C₂×#41	1	2	yes	—
873	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
874	C₂⁵	C₂³×C₅	1	1	yes	characteristic
875	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
876	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
877	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
878	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
879	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
880	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
881	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
882	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
883	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
884	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
885	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
886	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
887	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
888	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
889	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
890	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
891	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
892	#126	C₂×C₄×C₅	1	8	yes	complemented
893	#126	C₂×C₄×C₅	1	8	yes	complemented
894	#124	C₂×C₄×C₅	1	8	yes	complemented
895	#123	C₂×C₄×C₅	1	8	yes	complemented
896	#123	C₂×C₄×C₅	1	8	yes	complemented
897	#123	C₂×C₄×C₅	1	8	yes	complemented
898	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
899	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
900	#120	C₂×C₄×C₅	1	8	yes	—
901	C₄×Q₈	—	4	2	no	—
902	C₄×D₄	—	2	4	no	—
903	C₄×D₄	—	2	4	no	—
904	C₄×D₄	—	4	2	no	—
905	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
906	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
907	#117	—	2	4	no	—
908	#117	—	4	2	no	—
909	#117	C₂×C₄×C₅	1	8	yes	complemented
910	#117	C₂×C₄×C₅	1	8	yes	complemented
911	C₂×C₄⋊C₄	—	2	4	no	—
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×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	—	2	4	no	—
939	C₂×C₂²⋊C₄	—	2	4	no	—
940	C₂×C₂²⋊C₄	—	4	2	no	—
941	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
942	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
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×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
981	C₂×C₄²	—	4	2	no	—
982	C₂×C₄²	—	4	2	no	—
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	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
988	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
989	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
990	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
991	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
992	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
993	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
994	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
995	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
996	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
997	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
998	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
999	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1000	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1001	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1002	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1003	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1004	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1005	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1006	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1007	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1008	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1009	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1010	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
1011	C₂×C₄²	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	#95	C₂³×C₅	1	1	yes	characteristic
1036	#95	C₂³×C₅	1	1	yes	characteristic
1037	#95	C₂³×C₅	1	1	yes	characteristic
1038	#95	C₂³×C₅	1	1	yes	characteristic
1039	#95	C₂³×C₅	1	1	yes	characteristic
1040	#95	C₂³×C₅	1	1	yes	characteristic
1041	#95	C₂³×C₅	1	1	yes	characteristic
1042	#95	C₂³×C₅	1	1	yes	characteristic
1043	#95	C₂³×C₅	1	1	yes	characteristic
1044	#95	C₂³×C₅	1	1	yes	characteristic
1045	#95	C₂³×C₅	1	1	yes	characteristic
1046	#95	C₂³×C₅	1	1	yes	characteristic
1047	#95	C₂³×C₅	1	1	yes	characteristic
1048	#95	C₂³×C₅	1	1	yes	characteristic
1049	#95	C₂³×C₅	1	1	yes	characteristic
1050	#95	C₂³×C₅	1	1	yes	characteristic
1051	#95	C₂³×C₅	1	1	yes	characteristic
1052	#95	C₂³×C₅	1	1	yes	characteristic
1053	#95	C₂³×C₅	1	1	yes	characteristic
1054	#95	C₂³×C₅	1	1	yes	characteristic
1055	#95	C₂³×C₅	1	1	yes	characteristic
1056	C₂²×C₅	—	2	2	no	—
1057	C₂²×C₅	—	2	2	no	—
1058	C₂²×C₅	—	2	2	no	—
1059	C₂²×C₅	—	2	2	no	—
1060	C₂²×C₅	—	2	2	no	—
1061	C₂²×C₅	—	2	2	no	—
1062	C₂²×C₅	—	2	2	no	—
1063	C₂²×C₅	—	2	2	no	—
1064	C₂²×C₅	—	2	2	no	—
1065	C₂²×C₅	—	2	2	no	—
1066	C₂²×C₅	—	2	2	no	—
1067	C₂²×C₅	—	2	2	no	—
1068	C₂²×C₅	—	2	2	no	—
1069	C₂²×C₅	—	2	2	no	—
1070	C₂²×C₅	—	2	2	no	—
1071	C₂²×C₅	—	4	1	no	—
1072	C₂²×C₅	—	4	1	no	—
1073	C₂²×C₅	—	4	1	no	—
1074	C₂²×C₅	—	4	1	no	—
1075	C₂²×C₅	—	4	1	no	—
1076	C₂²×C₅	—	4	1	no	—
1077	C₂²×C₅	—	4	1	no	—
1078	C₂²×C₅	—	4	1	no	—
1079	C₂²×C₅	—	4	1	no	—
1080	C₂²×C₅	—	4	1	no	—
1081	C₂²×C₅	—	4	1	no	—
1082	C₂²×C₅	—	4	1	no	—
1083	C₂²×C₅	—	8	8	no	—
1084	C₂²×C₅	C₄×#41	1	4	yes	—
1085	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1086	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1087	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1088	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1089	C₂²×C₅	#585	1	1	yes	characteristic
1090	C₂²×C₅	#585	1	1	yes	characteristic
1091	C₂²×C₅	#585	1	1	yes	characteristic
1092	C₄×C₅	—	2	2	no	—
1093	C₄×C₅	—	2	2	no	—
1094	C₄×C₅	—	2	2	no	—
1095	C₄×C₅	—	2	2	no	—
1096	C₄×C₅	—	2	2	no	—
1097	C₄×C₅	—	2	2	no	—
1098	C₄×C₅	—	2	2	no	—
1099	C₄×C₅	—	2	2	no	—
1100	C₄×C₅	—	2	2	no	—
1101	C₄×C₅	—	2	2	no	—
1102	C₄×C₅	—	2	2	no	—
1103	C₄×C₅	—	2	2	no	—
1104	C₄×C₅	—	2	2	no	—
1105	C₄×C₅	—	2	2	no	—
1106	C₄×C₅	—	2	2	no	—
1107	C₄×C₅	—	2	2	no	—
1108	C₄×C₅	—	4	1	no	—
1109	C₄×C₅	—	4	1	no	—
1110	C₄×C₅	—	4	1	no	—
1111	C₄×C₅	—	4	1	no	—
1112	C₄×C₅	—	4	1	no	—
1113	C₄×C₅	—	4	1	no	—
1114	C₄×C₅	—	4	1	no	—
1115	C₄×C₅	—	4	1	no	—
1116	C₄×C₅	—	4	1	no	—
1117	C₄×C₅	—	4	1	no	—
1118	C₄×C₅	—	4	1	no	—
1119	C₂⁴	—	2	2	no	—
1120	C₂⁴	—	2	2	no	—
1121	C₂⁴	—	4	1	no	—
1122	C₂⁴	—	4	1	no	—
1123	C₂⁴	—	4	1	no	—
1124	C₂⁴	—	4	1	no	—
1125	C₂⁴	C₂²×C₄×C₅	1	4	yes	—
1126	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1127	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1128	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1129	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1130	C₂×Q₈	—	4	1	no	—
1131	C₂×Q₈	—	4	1	no	—
1132	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	2	2	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1140	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1141	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	2	2	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	4	1	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	4	1	no	—
1159	C₂²×C₄	—	4	1	no	—
1160	C₂²×C₄	—	4	1	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	1	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	4	1	no	—
1171	C₂²×C₄	—	4	1	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1176	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1177	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1178	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1179	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1180	C₂²×C₄	C₅×#41	1	4	yes	—
1181	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1188	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1190	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1191	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1192	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1193	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1194	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1195	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1196	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1197	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1203	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1204	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1205	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1206	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1207	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1208	C₄⋊C₄	—	2	2	no	—
1209	C₄⋊C₄	—	2	2	no	—
1210	C₄⋊C₄	—	2	2	no	—
1211	C₄⋊C₄	—	2	2	no	—
1212	C₄⋊C₄	—	2	2	no	—
1213	C₄⋊C₄	—	2	2	no	—
1214	C₄⋊C₄	—	2	2	no	—
1215	C₄⋊C₄	—	2	2	no	—
1216	C₄⋊C₄	—	2	2	no	—
1217	C₄⋊C₄	—	2	2	no	—
1218	C₄⋊C₄	—	4	1	no	—
1219	C₄⋊C₄	—	4	1	no	—
1220	C₄⋊C₄	—	4	1	no	—
1221	C₄⋊C₄	—	4	1	no	—
1222	C₄⋊C₄	—	4	1	no	—
1223	C₄⋊C₄	—	4	1	no	—
1224	C₄⋊C₄	—	4	1	no	—
1225	C₄⋊C₄	—	4	1	no	—
1226	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1227	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1228	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1229	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1230	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1231	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1232	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1233	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	—	2	2	no	—
1245	C₂²⋊C₄	—	2	2	no	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	4	1	no	—
1249	C₂²⋊C₄	—	4	1	no	—
1250	C₂²⋊C₄	—	4	1	no	—
1251	C₂²⋊C₄	—	4	1	no	—
1252	C₂²⋊C₄	—	4	1	no	—
1253	C₂²⋊C₄	—	4	1	no	—
1254	C₂²⋊C₄	—	4	1	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1258	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1259	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1260	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1261	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1262	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1263	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1264	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1265	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1266	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1267	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1268	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1269	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1270	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1271	C₂²⋊C₄	C₅×#41	1	4	yes	—
1272	C₄²	—	2	2	no	—
1273	C₄²	—	2	2	no	—
1274	C₄²	—	2	2	no	—
1275	C₄²	—	2	2	no	—
1276	C₄²	—	2	2	no	—
1277	C₄²	—	2	2	no	—
1278	C₄²	—	2	2	no	—
1279	C₄²	—	4	1	no	—
1280	C₄²	—	4	1	no	—
1281	C₄²	—	4	1	no	—
1282	C₄²	—	4	1	no	—
1283	C₄²	—	4	1	no	—
1284	C₄²	—	4	1	no	—
1285	C₄²	—	4	1	no	—
1286	C₄²	—	4	1	no	—
1287	C₄²	—	4	1	no	—
1288	C₄²	—	4	1	no	—
1289	C₄²	—	4	1	no	—
1290	C₄²	—	4	1	no	—
1291	C₄²	—	4	1	no	—
1292	C₄²	—	4	1	no	—
1293	C₄²	—	4	1	no	—
1294	C₄²	—	4	1	no	—
1295	C₄²	—	4	1	no	—
1296	C₄²	—	4	1	no	—
1297	C₄²	—	4	1	no	—
1298	C₄²	C₂²×C₄×C₅	1	4	yes	—
1299	C₄²	C₂²×C₄×C₅	1	4	yes	—
1300	C₄²	C₂²×C₄×C₅	1	4	yes	—
1301	C₂×C₅	—	2	4	no	—
1302	C₂×C₅	—	4	2	no	—
1303	C₂×C₅	—	4	2	no	—
1304	C₂×C₅	—	4	2	no	—
1305	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1306	C₂×C₅	#3428	1	1	yes	characteristic
1307	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1308	C₂×C₅	#3505	1	1	yes	characteristic
1309	C₂×C₅	#3510	1	1	yes	characteristic
1310	C₂×C₅	#3513	1	1	yes	characteristic
1311	C₂×C₅	#3521	1	1	yes	characteristic
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	8	no	—
1335	C₂³	—	4	4	no	—
1336	C₂³	—	4	4	no	—
1337	C₂³	—	8	2	no	—
1338	C₂³	—	8	2	no	—
1339	C₂³	—	8	2	no	—
1340	C₂³	—	8	2	no	—
1341	C₂³	C₂³×C₄×C₅	1	2	yes	—
1342	C₂³	C₂³×C₄×C₅	1	2	yes	—
1343	C₂³	C₂³×C₄×C₅	1	2	yes	—
1344	C₂³	C₂³×C₄×C₅	1	2	yes	—
1345	C₂³	C₂×C₅×#41	1	2	yes	—
1346	C₂³	C₂×C₅×#41	1	2	yes	—
1347	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1348	Q₈	—	4	4	no	—
1349	D₄	—	2	8	no	—
1350	D₄	—	4	4	no	—
1351	D₄	—	4	4	no	—
1352	C₂×C₄	—	2	8	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	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	4	4	no	—
1421	C₂×C₄	—	4	4	no	—
1422	C₂×C₄	—	4	4	no	—
1423	C₂×C₄	—	4	4	no	—
1424	C₂×C₄	—	4	4	no	—
1425	C₂×C₄	—	4	4	no	—
1426	C₂×C₄	—	8	2	no	—
1427	C₂×C₄	—	8	2	no	—
1428	C₂×C₄	—	8	2	no	—
1429	C₂×C₄	—	8	2	no	—
1430	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1431	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1432	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1433	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1434	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1435	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1436	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1437	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1438	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1439	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1440	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1441	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1442	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1443	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1444	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1445	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1446	C₅	#34315	1	1	yes	characteristic, direct product factor, Sylow
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	2	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	2	no	—
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	2	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	2	2	no	—
1455	C₂²	—	2	2	no	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	8	8	no	—
1475	C₂²	C₄×C₅×#41	1	4	yes	—
1476	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1477	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1478	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1479	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1480	C₂²	C₅×#585	1	1	yes	characteristic
1481	C₂²	C₅×#585	1	1	yes	characteristic
1482	C₂²	C₅×#585	1	1	yes	characteristic
1483	C₄	—	2	2	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	2	2	no	—
1490	C₄	—	2	2	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	2	no	—
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₂	—	2	4	no	—
1511	C₂	—	4	2	no	—
1512	C₂	—	4	2	no	—
1513	C₂	—	4	2	no	—
1514	C₂	C₂×C₄×C₅×#41	1	1	yes	characteristic
1515	C₂	C₅×#3428	1	1	yes	characteristic
1516	C₂	C₄×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1517	C₂	C₅×#3505	1	1	yes	characteristic
1518	C₂	C₅×#3510	1	1	yes	characteristic
1519	C₂	C₅×#3513	1	1	yes	characteristic
1520	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×#120	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₅×#2374	C₂	semidirect
3. C₅×#2374	C₂	semidirect
4. C₅×#2373	C₂	semidirect
5. C₅×#2373	C₂	semidirect
6. C₅×#2368	C₂	semidirect
7. C₅×#2367	C₂	semidirect
8. C₅×#2362	C₂	semidirect
9. C₅×#2359	C₂	semidirect
11. C₅×#2357	C₂	semidirect
12. C₅×#2353	C₂	semidirect
13. C₅×#2347	C₂	semidirect
14. C₅×#2343	C₂	semidirect
15. C₅×#2342	C₂	semidirect
16. C₅×#2342	C₂	semidirect
17. C₅×#2337	C₂	semidirect
18. C₅×#2335	C₂	semidirect
19. C₅×#2334	C₂	semidirect
20. C₅×#2332	C₂	semidirect
21. C₅×#2322	C₂	semidirect
23. C₄×C₅×#126	C₂	semidirect
24. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
25. C₄×C₅×#123	C₂	semidirect
26. C₅×#2298	C₂	semidirect
27. C₅×#2290	C₂	semidirect
28. C₂×C₅×#388	C₂	semidirect
29. C₅×#2274	C₂	semidirect
30. C₅×#2273	C₂	semidirect
31. C₄²×C₅×D₄	C₂	semidirect
32. C₅×#551	C₄	semidirect
42. C₂×C₄×C₅×Q₈	C₂²	semidirect
59. C₂²×C₄²×C₅	C₂²	semidirect
60. C₅×#391	C₂²	semidirect
61. C₅×#391	C₂²	semidirect
62. C₅×#391	C₂²	semidirect
66. C₅×#389	C₂²	semidirect
67. C₅×#389	C₂²	semidirect
68. C₅×#389	C₂²	semidirect
69. C₅×#389	C₂²	semidirect
92. C₅×#388	C₂²	semidirect
93. C₅×#388	C₂²	semidirect
94. C₅×#388	C₂²	semidirect
95. C₅×#388	C₂²	semidirect
96. C₅×#388	C₂²	semidirect
97. C₅×#388	C₂²	semidirect
98. C₅×#387	C₂²	semidirect
99. C₅×#387	C₂²	semidirect
100. C₅×#387	C₂²	semidirect
101. C₅×#387	C₂²	semidirect
102. C₅×#387	C₂²	semidirect
103. C₅×#387	C₂²	semidirect
104. C₅×#387	C₂²	semidirect
105. C₅×#387	C₂²	semidirect
106. C₅×#387	C₂²	semidirect
107. C₅×#387	C₂²	semidirect
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
127. C₅×#385	C₂²	semidirect
128. C₅×#385	C₂²	semidirect
129. C₅×#385	C₂²	semidirect
130. C₅×#383	C₂²	semidirect
131. C₅×#383	C₂²	semidirect
132. C₅×#382	C₂²	semidirect
135. C₅×#381	C₂²	semidirect
139. C₄×C₅×C₄⋊C₄	C₂²	semidirect
140. C₄×C₅×C₄⋊C₄	C₂²	semidirect
141. C₄×C₅×C₄⋊C₄	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
153. C₄×C₅×C₄⋊C₄	C₂²	semidirect
154. C₄×C₅×C₄⋊C₄	C₂²	semidirect
155. C₄×C₅×C₄⋊C₄	C₂²	semidirect
156. C₄×C₅×C₄⋊C₄	C₂²	semidirect
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. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
183. C₅×#376	C₂²	semidirect
184. C₅×#376	C₂²	semidirect
187. C₄³×C₅	C₂²	semidirect
188. #34315	C₅	direct (N × H)
207. C₅×#126	C₂×C₄	semidirect
208. C₅×#126	C₂×C₄	semidirect
209. C₅×#124	C₂×C₄	semidirect
210. C₅×#123	C₂×C₄	semidirect
211. C₅×#123	C₂×C₄	semidirect
212. C₅×#123	C₂×C₄	semidirect
213. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
214. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
220. C₄×C₅×D₄	C₂×C₄	semidirect
221. C₄×C₅×D₄	C₂×C₄	semidirect
224. C₅×#117	C₂×C₄	semidirect
225. C₅×#117	C₂×C₄	semidirect
256. C₂×C₅×C₂²⋊C₄	C₂×C₄	semidirect
257. C₂×C₅×C₂²⋊C₄	C₂×C₄	semidirect
372. #2374	C₂×C₅	semidirect
373. #2374	C₂×C₅	semidirect
374. #2373	C₂×C₅	semidirect
375. #2373	C₂×C₅	semidirect
376. #2368	C₂×C₅	semidirect
377. #2367	C₂×C₅	semidirect
378. #2362	C₂×C₅	semidirect
379. #2359	C₂×C₅	semidirect
381. #2357	C₂×C₅	semidirect
382. #2353	C₂×C₅	semidirect
383. #2347	C₂×C₅	semidirect
384. #2343	C₂×C₅	semidirect
385. #2342	C₂×C₅	semidirect
386. #2342	C₂×C₅	semidirect
387. #2337	C₂×C₅	semidirect
388. #2335	C₂×C₅	semidirect
389. #2334	C₂×C₅	semidirect
390. #2332	C₂×C₅	semidirect
391. #2322	C₂×C₅	semidirect
393. C₄×#126	C₂×C₅	semidirect
394. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
395. C₄×#123	C₂×C₅	semidirect
396. #2298	C₂×C₅	semidirect
397. #2290	C₂×C₅	semidirect
398. C₂×#388	C₂×C₅	semidirect
399. #2274	C₂×C₅	semidirect
400. #2273	C₂×C₅	semidirect
401. C₄²×D₄	C₂×C₅	semidirect
584. #551	C₄×C₅	semidirect
594. C₂×C₄×Q₈	C₂²×C₅	semidirect
611. C₂²×C₄²	C₂²×C₅	semidirect
612. #391	C₂²×C₅	semidirect
613. #391	C₂²×C₅	semidirect
614. #391	C₂²×C₅	semidirect
618. #389	C₂²×C₅	semidirect
619. #389	C₂²×C₅	semidirect
620. #389	C₂²×C₅	semidirect
621. #389	C₂²×C₅	semidirect
644. #388	C₂²×C₅	semidirect
645. #388	C₂²×C₅	semidirect
646. #388	C₂²×C₅	semidirect
647. #388	C₂²×C₅	semidirect
648. #388	C₂²×C₅	semidirect
649. #388	C₂²×C₅	semidirect
650. #387	C₂²×C₅	semidirect
651. #387	C₂²×C₅	semidirect
652. #387	C₂²×C₅	semidirect
653. #387	C₂²×C₅	semidirect
654. #387	C₂²×C₅	semidirect
655. #387	C₂²×C₅	semidirect
656. #387	C₂²×C₅	semidirect
657. #387	C₂²×C₅	semidirect
658. #387	C₂²×C₅	semidirect
659. #387	C₂²×C₅	semidirect
660. #387	C₂²×C₅	semidirect
661. #387	C₂²×C₅	semidirect
662. #387	C₂²×C₅	semidirect
663. #387	C₂²×C₅	semidirect
664. #387	C₂²×C₅	semidirect
665. #387	C₂²×C₅	semidirect
679. #385	C₂²×C₅	semidirect
680. #385	C₂²×C₅	semidirect
681. #385	C₂²×C₅	semidirect
682. #383	C₂²×C₅	semidirect
683. #383	C₂²×C₅	semidirect
684. #382	C₂²×C₅	semidirect
687. #381	C₂²×C₅	semidirect
691. C₄×C₄⋊C₄	C₂²×C₅	semidirect
692. C₄×C₄⋊C₄	C₂²×C₅	semidirect
693. C₄×C₄⋊C₄	C₂²×C₅	semidirect
694. C₄×C₄⋊C₄	C₂²×C₅	semidirect
695. C₄×C₄⋊C₄	C₂²×C₅	semidirect
696. C₄×C₄⋊C₄	C₂²×C₅	semidirect
697. C₄×C₄⋊C₄	C₂²×C₅	semidirect
698. C₄×C₄⋊C₄	C₂²×C₅	semidirect
699. C₄×C₄⋊C₄	C₂²×C₅	semidirect
700. C₄×C₄⋊C₄	C₂²×C₅	semidirect
701. C₄×C₄⋊C₄	C₂²×C₅	semidirect
702. C₄×C₄⋊C₄	C₂²×C₅	semidirect
703. C₄×C₄⋊C₄	C₂²×C₅	semidirect
704. C₄×C₄⋊C₄	C₂²×C₅	semidirect
705. C₄×C₄⋊C₄	C₂²×C₅	semidirect
706. C₄×C₄⋊C₄	C₂²×C₅	semidirect
707. C₄×C₄⋊C₄	C₂²×C₅	semidirect
708. C₄×C₄⋊C₄	C₂²×C₅	semidirect
730. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
731. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
732. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
733. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
734. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
735. #376	C₂²×C₅	semidirect
736. #376	C₂²×C₅	semidirect
739. C₄³	C₂²×C₅	semidirect
892. #126	C₂×C₄×C₅	semidirect
893. #126	C₂×C₄×C₅	semidirect
894. #124	C₂×C₄×C₅	semidirect
895. #123	C₂×C₄×C₅	semidirect
896. #123	C₂×C₄×C₅	semidirect
897. #123	C₂×C₄×C₅	semidirect
898. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
899. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
905. C₄×D₄	C₂×C₄×C₅	semidirect
906. C₄×D₄	C₂×C₄×C₅	semidirect
909. #117	C₂×C₄×C₅	semidirect
910. #117	C₂×C₄×C₅	semidirect
941. C₂×C₂²⋊C₄	C₂×C₄×C₅	semidirect
942. C₂×C₂²⋊C₄	C₂×C₄×C₅	semidirect
1446. C₅	#34315	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₅×#551	2
C₅×#2374	2
C₅×#2373	2
C₅×#2368	2
C₅×#2367	2
C₅×#2362	2
C₅×#2359	2
C₅×#2358	2
C₅×#2357	2
C₅×#2353	2
C₅×#2347	2
C₅×#2343	2
C₅×#2342	2
C₅×#2337	2
C₅×#2335	2
C₅×#2334	2
C₅×#2332	2
C₅×#2322	2
C₅×#2321	2
C₄×C₅×#126	2
C₄×C₅×C₂²⋊Q₈	2
C₄×C₅×#123	2
C₅×#2298	2
C₅×#2290	2
C₂×C₅×#388	2
C₅×#2274	2
C₅×#2273	2
C₄²×C₅×D₄	2
#34315	5

Subgroups — C5×#34315 #11957035

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34315 #11957035