Subgroups — C₅×#35068 #11957788

Order 1280.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2865	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#2861	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2854	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2852	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2654	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2653	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2651	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2648	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2595	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2594	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2558	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2557	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2532	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2531	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2510	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2480	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2479	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2476	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2473	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2472	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2450	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2443	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2424	C₂	1	1	yes	maximal, characteristic
24	C₅×#2418	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅×#2329	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅×#2325	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅×#2321	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#126	C₂²	1	1	yes	characteristic
33	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₅×#124	C₂²	1	1	yes	characteristic
35	C₂×C₅×#123	C₂²	1	1	yes	characteristic
36	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₅×#121	C₂²	1	1	yes	characteristic
39	C₂×C₅×#121	C₂²	1	1	yes	characteristic
40	C₂×C₅×#120	C₂²	1	1	yes	characteristic
41	C₂×C₅×#120	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
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×C₅×#117	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
48	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
52	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
53	C₅×#401	C₂²	1	1	yes	characteristic, complemented
54	C₅×#400	C₂²	1	1	yes	characteristic, complemented
55	C₅×#400	C₂²	1	1	yes	characteristic, complemented
56	C₅×#400	C₂²	1	1	yes	characteristic, complemented
57	C₅×#399	C₂²	1	1	yes	characteristic
58	C₅×#399	C₂²	1	1	yes	characteristic, complemented
59	C₅×#398	C₂²	1	1	yes	characteristic, complemented
60	C₅×#398	C₂²	1	1	yes	characteristic, complemented
61	C₅×#398	C₂²	1	1	yes	characteristic, complemented
62	C₅×#398	C₂²	1	1	yes	characteristic, complemented
63	C₅×#398	C₂²	1	1	yes	characteristic, complemented
64	C₅×#397	C₂²	1	1	yes	characteristic
65	C₅×#397	C₂²	1	1	yes	characteristic
66	C₅×#397	C₂²	1	1	yes	characteristic
67	C₅×#397	C₂²	1	1	yes	characteristic
68	C₅×#397	C₂²	1	1	yes	characteristic
69	C₅×#397	C₂²	1	1	yes	characteristic, complemented
70	C₅×#397	C₂²	1	1	yes	characteristic, complemented
71	C₅×#397	C₂²	1	1	yes	characteristic, complemented
72	C₅×#396	C₂²	1	1	yes	characteristic
73	C₅×#396	C₂²	1	1	yes	characteristic
74	C₅×#396	C₂²	1	1	yes	characteristic, complemented
75	C₅×#394	C₂²	1	1	yes	characteristic
76	C₅×#394	C₂²	1	1	yes	characteristic
77	C₅×#394	C₂²	1	1	yes	characteristic
78	C₅×#394	C₂²	1	1	yes	characteristic
79	C₅×#394	C₂²	1	1	yes	characteristic
80	C₅×#394	C₂²	1	1	yes	characteristic
81	C₅×#394	C₂²	1	1	yes	characteristic, complemented
82	C₅×#393	C₂²	1	1	yes	characteristic
83	C₅×#393	C₂²	1	1	yes	characteristic, complemented
84	C₅×#392	C₂²	1	1	yes	characteristic
85	C₅×#391	C₂²	1	1	yes	characteristic, complemented
86	C₅×#391	C₂²	1	1	yes	characteristic, complemented
87	C₅×#391	C₂²	1	1	yes	characteristic, complemented
88	C₅×#390	C₂²	1	1	yes	characteristic
89	C₅×#390	C₂²	1	1	yes	characteristic
90	C₅×#390	C₂²	1	1	yes	characteristic
91	C₅×#390	C₂²	1	1	yes	characteristic
92	C₅×#390	C₂²	1	1	yes	characteristic
93	C₅×#390	C₂²	1	1	yes	characteristic
94	C₅×#389	C₂²	1	1	yes	characteristic, complemented
95	C₅×#389	C₂²	1	1	yes	characteristic, complemented
96	C₅×#389	C₂²	1	1	yes	characteristic, complemented
97	C₅×#388	C₂²	1	1	yes	characteristic
98	C₅×#388	C₂²	1	1	yes	characteristic
99	C₅×#388	C₂²	1	1	yes	characteristic
100	C₅×#388	C₂²	1	1	yes	characteristic
101	C₅×#388	C₂²	1	1	yes	characteristic
102	C₅×#388	C₂²	1	1	yes	characteristic
103	C₅×#388	C₂²	1	1	yes	characteristic
104	C₅×#388	C₂²	1	1	yes	characteristic
105	C₅×#388	C₂²	1	1	yes	characteristic
106	C₅×#388	C₂²	1	1	yes	characteristic
107	C₅×#388	C₂²	1	1	yes	characteristic
108	C₅×#388	C₂²	1	1	yes	characteristic
109	C₅×#388	C₂²	1	1	yes	characteristic
110	C₅×#388	C₂²	1	1	yes	characteristic
111	C₅×#388	C₂²	1	1	yes	characteristic
112	C₅×#388	C₂²	1	1	yes	characteristic
113	C₅×#388	C₂²	1	1	yes	characteristic
114	C₅×#388	C₂²	1	1	yes	characteristic
115	C₅×#388	C₂²	1	1	yes	characteristic
116	C₅×#388	C₂²	1	1	yes	characteristic
117	C₅×#388	C₂²	1	1	yes	characteristic
118	C₅×#388	C₂²	1	1	yes	characteristic
119	C₅×#388	C₂²	1	1	yes	characteristic
120	C₅×#388	C₂²	1	1	yes	characteristic
121	C₅×#388	C₂²	1	1	yes	characteristic, complemented
122	C₅×#388	C₂²	1	1	yes	characteristic, complemented
123	C₅×#388	C₂²	1	1	yes	characteristic, complemented
124	C₅×#388	C₂²	1	1	yes	characteristic, complemented
125	C₅×#388	C₂²	1	1	yes	characteristic, complemented
126	C₅×#388	C₂²	1	1	yes	characteristic, complemented
127	C₅×#388	C₂²	1	1	yes	characteristic, complemented
128	C₅×#387	C₂²	1	1	yes	characteristic, complemented
129	C₅×#387	C₂²	1	1	yes	characteristic, complemented
130	C₅×#387	C₂²	1	1	yes	characteristic, complemented
131	C₅×#387	C₂²	1	1	yes	characteristic, complemented
132	C₅×#387	C₂²	1	1	yes	characteristic, complemented
133	C₅×#387	C₂²	1	1	yes	characteristic, complemented
134	C₅×#387	C₂²	1	1	yes	characteristic, complemented
135	C₅×#387	C₂²	1	1	yes	characteristic, complemented
136	C₅×#387	C₂²	1	1	yes	characteristic, complemented
137	C₅×#387	C₂²	1	1	yes	characteristic, complemented
138	C₅×#387	C₂²	1	1	yes	characteristic, complemented
139	C₅×#387	C₂²	1	1	yes	characteristic, complemented
140	C₅×#387	C₂²	1	1	yes	characteristic, complemented
141	C₅×#386	C₂²	1	1	yes	characteristic
142	C₅×#386	C₂²	1	1	yes	characteristic
143	C₅×#386	C₂²	1	1	yes	characteristic
144	C₅×#386	C₂²	1	1	yes	characteristic
145	C₅×#386	C₂²	1	1	yes	characteristic
146	C₅×#386	C₂²	1	1	yes	characteristic
147	C₅×#386	C₂²	1	1	yes	characteristic
148	C₅×#386	C₂²	1	1	yes	characteristic
149	C₅×#386	C₂²	1	1	yes	characteristic
150	C₅×#386	C₂²	1	1	yes	characteristic
151	C₅×#386	C₂²	1	1	yes	characteristic
152	C₅×#386	C₂²	1	1	yes	characteristic
153	C₅×#386	C₂²	1	1	yes	characteristic, complemented
154	C₅×#386	C₂²	1	1	yes	characteristic, complemented
155	C₅×#385	C₂²	1	1	yes	characteristic
156	C₅×#385	C₂²	1	1	yes	characteristic
157	C₅×#385	C₂²	1	1	yes	characteristic
158	C₅×#385	C₂²	1	1	yes	characteristic
159	C₅×#385	C₂²	1	1	yes	characteristic
160	C₅×#385	C₂²	1	1	yes	characteristic
161	C₅×#385	C₂²	1	1	yes	characteristic, complemented
162	C₅×#385	C₂²	1	1	yes	characteristic, complemented
163	C₅×#385	C₂²	1	1	yes	characteristic, complemented
164	C₅×#385	C₂²	1	1	yes	characteristic, complemented
165	C₅×#383	C₂²	1	1	yes	characteristic, complemented
166	C₅×#380	C₂²	1	1	yes	characteristic
167	C₅×#380	C₂²	1	1	yes	characteristic
168	C₅×#380	C₂²	1	1	yes	characteristic, complemented
169	C₅×#379	C₂²	1	1	yes	characteristic
170	C₅×#379	C₂²	1	1	yes	characteristic
171	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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, 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	C₂×C₅×#95	C₂²	1	1	yes	characteristic
185	C₂×C₅×#95	C₂²	1	1	yes	characteristic
186	C₄³×C₅	C₂²	1	1	yes	characteristic, complemented
187	#35068	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂⁵×C₅	C₂³	1	1	yes	characteristic
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	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
194	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
195	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
196	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
197	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	—	4	2	no	—
208	C₅×#125	—	4	2	no	—
209	C₅×#124	—	4	2	no	—
210	C₅×#123	—	4	2	no	—
211	C₅×#123	—	4	2	no	—
212	C₅×C₂²⋊Q₈	—	2	4	no	—
213	C₅×#121	—	2	4	no	—
214	C₅×#121	—	4	2	no	—
215	C₅×#120	—	2	4	no	—
216	C₅×#120	—	2	4	no	—
217	C₄×C₅×D₄	—	2	4	no	—
218	C₄×C₅×D₄	—	2	4	no	—
219	C₄×C₅×D₄	—	2	4	no	—
220	C₄×C₅×D₄	—	2	4	no	—
221	C₅×#117	—	4	2	no	—
222	C₂×C₅×C₄⋊C₄	—	4	2	no	—
223	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
252	C₂×C₅×C₂²⋊C₄	—	4	2	no	—
253	C₂×C₅×C₂²⋊C₄	—	4	2	no	—
254	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₅	—	4	2	no	—
303	C₂×C₄²×C₅	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
321	C₅×#95	C₂³	1	1	yes	characteristic
322	C₅×#95	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	#2865	C₂×C₅	1	1	yes	characteristic, complemented
365	#2861	C₂×C₅	1	1	yes	characteristic, complemented
366	#2854	C₂×C₅	1	1	yes	characteristic, complemented
367	#2852	C₂×C₅	1	1	yes	characteristic, complemented
368	#2654	C₂×C₅	1	1	yes	characteristic, complemented
369	#2653	C₂×C₅	1	1	yes	characteristic, complemented
370	#2651	C₂×C₅	1	1	yes	characteristic, complemented
371	#2648	C₂×C₅	1	1	yes	characteristic, complemented
372	#2595	C₂×C₅	1	1	yes	characteristic, complemented
373	#2594	C₂×C₅	1	1	yes	characteristic, complemented
374	#2558	C₂×C₅	1	1	yes	characteristic, complemented
375	#2557	C₂×C₅	1	1	yes	characteristic, complemented
376	#2532	C₂×C₅	1	1	yes	characteristic, complemented
377	#2531	C₂×C₅	1	1	yes	characteristic, complemented
378	#2510	C₂×C₅	1	1	yes	characteristic, complemented
379	#2480	C₂×C₅	1	1	yes	characteristic, complemented
380	#2479	C₂×C₅	1	1	yes	characteristic, complemented
381	#2476	C₂×C₅	1	1	yes	characteristic, complemented
382	#2473	C₂×C₅	1	1	yes	characteristic, complemented
383	#2472	C₂×C₅	1	1	yes	characteristic, complemented
384	#2450	C₂×C₅	1	1	yes	characteristic, complemented
385	#2443	C₂×C₅	1	1	yes	characteristic, complemented
386	#2424	C₂×C₅	1	1	yes	characteristic
387	#2418	C₂×C₅	1	1	yes	characteristic, complemented
388	#2329	C₂×C₅	1	1	yes	characteristic, complemented
389	#2325	C₂×C₅	1	1	yes	characteristic, complemented
390	#2321	C₂×C₅	1	1	yes	characteristic, complemented
391	#2321	C₂×C₅	1	1	yes	characteristic, complemented
392	#2290	C₂×C₅	1	1	yes	characteristic, complemented
393	C₂×#388	C₂×C₅	1	1	yes	characteristic, complemented
394	C₄²×D₄	C₂×C₅	1	1	yes	characteristic, complemented
395	C₂⁴×C₅	—	2	2	no	—
396	C₂⁴×C₅	—	2	2	no	—
397	C₂⁴×C₅	—	2	2	no	—
398	C₂⁴×C₅	—	4	1	no	—
399	C₂⁴×C₅	—	4	1	no	—
400	C₂⁴×C₅	—	4	1	no	—
401	C₂⁴×C₅	—	4	1	no	—
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	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
407	C₂×C₅×Q₈	—	2	2	no	—
408	C₂×C₅×Q₈	—	4	1	no	—
409	C₂×C₅×Q₈	—	4	1	no	—
410	C₂×C₅×D₄	—	2	2	no	—
411	C₂×C₅×D₄	—	2	2	no	—
412	C₂×C₅×D₄	—	2	2	no	—
413	C₂×C₅×D₄	—	2	2	no	—
414	C₂×C₅×D₄	—	2	2	no	—
415	C₂×C₅×D₄	—	2	2	no	—
416	C₂×C₅×D₄	—	2	2	no	—
417	C₂×C₅×D₄	—	2	2	no	—
418	C₂×C₅×D₄	—	2	2	no	—
419	C₂×C₅×D₄	—	2	2	no	—
420	C₂×C₅×D₄	—	4	1	no	—
421	C₂×C₅×D₄	—	4	1	no	—
422	C₂×C₅×D₄	—	4	1	no	—
423	C₂×C₅×D₄	—	4	1	no	—
424	C₂×C₅×D₄	—	4	1	no	—
425	C₂×C₅×D₄	—	4	1	no	—
426	C₂×C₅×D₄	—	4	1	no	—
427	C₂×C₅×D₄	—	4	1	no	—
428	C₂×C₅×D₄	—	4	1	no	—
429	C₂×C₅×D₄	—	4	1	no	—
430	C₂×C₅×D₄	#41	1	4	yes	—
431	C₂²×C₄×C₅	—	2	2	no	—
432	C₂²×C₄×C₅	—	2	2	no	—
433	C₂²×C₄×C₅	—	2	2	no	—
434	C₂²×C₄×C₅	—	2	2	no	—
435	C₂²×C₄×C₅	—	2	2	no	—
436	C₂²×C₄×C₅	—	2	2	no	—
437	C₂²×C₄×C₅	—	2	2	no	—
438	C₂²×C₄×C₅	—	2	2	no	—
439	C₂²×C₄×C₅	—	2	2	no	—
440	C₂²×C₄×C₅	—	2	2	no	—
441	C₂²×C₄×C₅	—	2	2	no	—
442	C₂²×C₄×C₅	—	2	2	no	—
443	C₂²×C₄×C₅	—	2	2	no	—
444	C₂²×C₄×C₅	—	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	—	4	1	no	—
459	C₂²×C₄×C₅	—	4	1	no	—
460	C₂²×C₄×C₅	#41	1	4	yes	—
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	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	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	—	2	2	no	—
497	C₅×C₄⋊C₄	—	2	2	no	—
498	C₅×C₄⋊C₄	—	2	2	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	—	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	—	4	1	no	—
510	C₅×C₄⋊C₄	—	4	1	no	—
511	C₅×C₄⋊C₄	—	4	1	no	—
512	C₅×C₄⋊C₄	—	4	1	no	—
513	C₅×C₄⋊C₄	—	4	1	no	—
514	C₅×C₄⋊C₄	—	4	1	no	—
515	C₅×C₂²⋊C₄	—	2	2	no	—
516	C₅×C₂²⋊C₄	—	2	2	no	—
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	—	2	2	no	—
531	C₅×C₂²⋊C₄	—	2	2	no	—
532	C₅×C₂²⋊C₄	—	2	2	no	—
533	C₅×C₂²⋊C₄	—	2	2	no	—
534	C₅×C₂²⋊C₄	—	2	2	no	—
535	C₅×C₂²⋊C₄	—	2	2	no	—
536	C₅×C₂²⋊C₄	—	2	2	no	—
537	C₅×C₂²⋊C₄	—	2	2	no	—
538	C₅×C₂²⋊C₄	—	2	2	no	—
539	C₅×C₂²⋊C₄	—	2	2	no	—
540	C₅×C₂²⋊C₄	—	4	1	no	—
541	C₅×C₂²⋊C₄	—	4	1	no	—
542	C₅×C₂²⋊C₄	—	4	1	no	—
543	C₅×C₂²⋊C₄	—	4	1	no	—
544	C₅×C₂²⋊C₄	—	4	1	no	—
545	C₅×C₂²⋊C₄	—	4	1	no	—
546	C₅×C₂²⋊C₄	—	4	1	no	—
547	C₅×C₂²⋊C₄	—	4	1	no	—
548	C₅×C₂²⋊C₄	—	4	1	no	—
549	C₅×C₂²⋊C₄	—	4	1	no	—
550	C₅×C₂²⋊C₄	—	4	1	no	—
551	C₅×C₂²⋊C₄	—	4	1	no	—
552	C₅×C₂²⋊C₄	—	4	1	no	—
553	C₅×C₂²⋊C₄	—	4	1	no	—
554	C₅×C₂²⋊C₄	—	4	1	no	—
555	C₅×C₂²⋊C₄	—	4	1	no	—
556	C₅×C₂²⋊C₄	—	4	1	no	—
557	C₅×C₂²⋊C₄	—	4	1	no	—
558	C₅×C₂²⋊C₄	—	4	1	no	—
559	C₅×C₂²⋊C₄	—	4	1	no	—
560	C₅×C₂²⋊C₄	—	4	1	no	—
561	C₅×C₂²⋊C₄	—	4	1	no	—
562	C₅×C₂²⋊C₄	#41	1	4	yes	—
563	C₄²×C₅	—	2	2	no	—
564	C₄²×C₅	—	2	2	no	—
565	C₄²×C₅	—	2	2	no	—
566	C₄²×C₅	—	2	2	no	—
567	C₄²×C₅	—	2	2	no	—
568	C₄²×C₅	—	2	2	no	—
569	C₄²×C₅	—	2	2	no	—
570	C₄²×C₅	—	2	2	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	C₂×#126	C₂²×C₅	1	1	yes	characteristic
580	C₂×#125	C₂²×C₅	1	1	yes	characteristic, complemented
581	C₂×#124	C₂²×C₅	1	1	yes	characteristic
582	C₂×#123	C₂²×C₅	1	1	yes	characteristic
583	C₂×#123	C₂²×C₅	1	1	yes	characteristic, complemented
584	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
585	C₂×#121	C₂²×C₅	1	1	yes	characteristic
586	C₂×#121	C₂²×C₅	1	1	yes	characteristic
587	C₂×#120	C₂²×C₅	1	1	yes	characteristic
588	C₂×#120	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×#117	C₂²×C₅	1	1	yes	characteristic, complemented
594	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
595	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
596	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
597	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
598	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
599	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
600	#401	C₂²×C₅	1	1	yes	characteristic, complemented
601	#400	C₂²×C₅	1	1	yes	characteristic, complemented
602	#400	C₂²×C₅	1	1	yes	characteristic, complemented
603	#400	C₂²×C₅	1	1	yes	characteristic, complemented
604	#399	C₂²×C₅	1	1	yes	characteristic
605	#399	C₂²×C₅	1	1	yes	characteristic, complemented
606	#398	C₂²×C₅	1	1	yes	characteristic, complemented
607	#398	C₂²×C₅	1	1	yes	characteristic, complemented
608	#398	C₂²×C₅	1	1	yes	characteristic, complemented
609	#398	C₂²×C₅	1	1	yes	characteristic, complemented
610	#398	C₂²×C₅	1	1	yes	characteristic, complemented
611	#397	C₂²×C₅	1	1	yes	characteristic
612	#397	C₂²×C₅	1	1	yes	characteristic
613	#397	C₂²×C₅	1	1	yes	characteristic
614	#397	C₂²×C₅	1	1	yes	characteristic
615	#397	C₂²×C₅	1	1	yes	characteristic
616	#397	C₂²×C₅	1	1	yes	characteristic, complemented
617	#397	C₂²×C₅	1	1	yes	characteristic, complemented
618	#397	C₂²×C₅	1	1	yes	characteristic, complemented
619	#396	C₂²×C₅	1	1	yes	characteristic
620	#396	C₂²×C₅	1	1	yes	characteristic
621	#396	C₂²×C₅	1	1	yes	characteristic, complemented
622	#394	C₂²×C₅	1	1	yes	characteristic
623	#394	C₂²×C₅	1	1	yes	characteristic
624	#394	C₂²×C₅	1	1	yes	characteristic
625	#394	C₂²×C₅	1	1	yes	characteristic
626	#394	C₂²×C₅	1	1	yes	characteristic
627	#394	C₂²×C₅	1	1	yes	characteristic
628	#394	C₂²×C₅	1	1	yes	characteristic, complemented
629	#393	C₂²×C₅	1	1	yes	characteristic
630	#393	C₂²×C₅	1	1	yes	characteristic, complemented
631	#392	C₂²×C₅	1	1	yes	characteristic
632	#391	C₂²×C₅	1	1	yes	characteristic, complemented
633	#391	C₂²×C₅	1	1	yes	characteristic, complemented
634	#391	C₂²×C₅	1	1	yes	characteristic, complemented
635	#390	C₂²×C₅	1	1	yes	characteristic
636	#390	C₂²×C₅	1	1	yes	characteristic
637	#390	C₂²×C₅	1	1	yes	characteristic
638	#390	C₂²×C₅	1	1	yes	characteristic
639	#390	C₂²×C₅	1	1	yes	characteristic
640	#390	C₂²×C₅	1	1	yes	characteristic
641	#389	C₂²×C₅	1	1	yes	characteristic, complemented
642	#389	C₂²×C₅	1	1	yes	characteristic, complemented
643	#389	C₂²×C₅	1	1	yes	characteristic, complemented
644	#388	C₂²×C₅	1	1	yes	characteristic
645	#388	C₂²×C₅	1	1	yes	characteristic
646	#388	C₂²×C₅	1	1	yes	characteristic
647	#388	C₂²×C₅	1	1	yes	characteristic
648	#388	C₂²×C₅	1	1	yes	characteristic
649	#388	C₂²×C₅	1	1	yes	characteristic
650	#388	C₂²×C₅	1	1	yes	characteristic
651	#388	C₂²×C₅	1	1	yes	characteristic
652	#388	C₂²×C₅	1	1	yes	characteristic
653	#388	C₂²×C₅	1	1	yes	characteristic
654	#388	C₂²×C₅	1	1	yes	characteristic
655	#388	C₂²×C₅	1	1	yes	characteristic
656	#388	C₂²×C₅	1	1	yes	characteristic
657	#388	C₂²×C₅	1	1	yes	characteristic
658	#388	C₂²×C₅	1	1	yes	characteristic
659	#388	C₂²×C₅	1	1	yes	characteristic
660	#388	C₂²×C₅	1	1	yes	characteristic
661	#388	C₂²×C₅	1	1	yes	characteristic
662	#388	C₂²×C₅	1	1	yes	characteristic
663	#388	C₂²×C₅	1	1	yes	characteristic
664	#388	C₂²×C₅	1	1	yes	characteristic
665	#388	C₂²×C₅	1	1	yes	characteristic
666	#388	C₂²×C₅	1	1	yes	characteristic
667	#388	C₂²×C₅	1	1	yes	characteristic
668	#388	C₂²×C₅	1	1	yes	characteristic, complemented
669	#388	C₂²×C₅	1	1	yes	characteristic, complemented
670	#388	C₂²×C₅	1	1	yes	characteristic, complemented
671	#388	C₂²×C₅	1	1	yes	characteristic, complemented
672	#388	C₂²×C₅	1	1	yes	characteristic, complemented
673	#388	C₂²×C₅	1	1	yes	characteristic, complemented
674	#388	C₂²×C₅	1	1	yes	characteristic, complemented
675	#387	C₂²×C₅	1	1	yes	characteristic, complemented
676	#387	C₂²×C₅	1	1	yes	characteristic, complemented
677	#387	C₂²×C₅	1	1	yes	characteristic, complemented
678	#387	C₂²×C₅	1	1	yes	characteristic, complemented
679	#387	C₂²×C₅	1	1	yes	characteristic, complemented
680	#387	C₂²×C₅	1	1	yes	characteristic, complemented
681	#387	C₂²×C₅	1	1	yes	characteristic, complemented
682	#387	C₂²×C₅	1	1	yes	characteristic, complemented
683	#387	C₂²×C₅	1	1	yes	characteristic, complemented
684	#387	C₂²×C₅	1	1	yes	characteristic, complemented
685	#387	C₂²×C₅	1	1	yes	characteristic, complemented
686	#387	C₂²×C₅	1	1	yes	characteristic, complemented
687	#387	C₂²×C₅	1	1	yes	characteristic, complemented
688	#386	C₂²×C₅	1	1	yes	characteristic
689	#386	C₂²×C₅	1	1	yes	characteristic
690	#386	C₂²×C₅	1	1	yes	characteristic
691	#386	C₂²×C₅	1	1	yes	characteristic
692	#386	C₂²×C₅	1	1	yes	characteristic
693	#386	C₂²×C₅	1	1	yes	characteristic
694	#386	C₂²×C₅	1	1	yes	characteristic
695	#386	C₂²×C₅	1	1	yes	characteristic
696	#386	C₂²×C₅	1	1	yes	characteristic
697	#386	C₂²×C₅	1	1	yes	characteristic
698	#386	C₂²×C₅	1	1	yes	characteristic
699	#386	C₂²×C₅	1	1	yes	characteristic
700	#386	C₂²×C₅	1	1	yes	characteristic, complemented
701	#386	C₂²×C₅	1	1	yes	characteristic, complemented
702	#385	C₂²×C₅	1	1	yes	characteristic
703	#385	C₂²×C₅	1	1	yes	characteristic
704	#385	C₂²×C₅	1	1	yes	characteristic
705	#385	C₂²×C₅	1	1	yes	characteristic
706	#385	C₂²×C₅	1	1	yes	characteristic
707	#385	C₂²×C₅	1	1	yes	characteristic
708	#385	C₂²×C₅	1	1	yes	characteristic, complemented
709	#385	C₂²×C₅	1	1	yes	characteristic, complemented
710	#385	C₂²×C₅	1	1	yes	characteristic, complemented
711	#385	C₂²×C₅	1	1	yes	characteristic, complemented
712	#383	C₂²×C₅	1	1	yes	characteristic, complemented
713	#380	C₂²×C₅	1	1	yes	characteristic
714	#380	C₂²×C₅	1	1	yes	characteristic
715	#380	C₂²×C₅	1	1	yes	characteristic, complemented
716	#379	C₂²×C₅	1	1	yes	characteristic
717	#379	C₂²×C₅	1	1	yes	characteristic
718	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
719	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
720	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
721	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
722	C₄×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, complemented
727	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
728	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
729	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
730	#376	C₂²×C₅	1	1	yes	characteristic, complemented
731	C₂×#95	C₂²×C₅	1	1	yes	characteristic
732	C₂×#95	C₂²×C₅	1	1	yes	characteristic
733	C₄³	C₂²×C₅	1	1	yes	characteristic, complemented
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	—	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	1	no	—
763	C₂³×C₅	—	2	1	no	—
764	C₂³×C₅	—	2	1	no	—
765	C₂³×C₅	—	4	4	no	—
766	C₂³×C₅	—	4	4	no	—
767	C₂³×C₅	—	4	4	no	—
768	C₂³×C₅	—	8	2	no	—
769	C₂³×C₅	—	8	2	no	—
770	C₂³×C₅	—	8	2	no	—
771	C₂³×C₅	—	8	2	no	—
772	C₂³×C₅	C₂×#41	1	2	yes	—
773	C₂³×C₅	C₂×#41	1	2	yes	—
774	C₂³×C₅	C₂×#41	1	2	yes	—
775	C₂³×C₅	C₂×#41	1	2	yes	—
776	C₂³×C₅	C₂⁵	1	1	yes	characteristic
777	C₅×Q₈	—	8	2	no	—
778	C₅×D₄	—	2	8	no	—
779	C₅×D₄	—	4	4	no	—
780	C₅×D₄	—	8	2	no	—
781	C₅×D₄	—	8	2	no	—
782	C₅×D₄	—	8	2	no	—
783	C₅×D₄	—	8	2	no	—
784	C₅×D₄	—	8	2	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	—	2	1	no	—
847	C₂×C₄×C₅	—	2	1	no	—
848	C₂×C₄×C₅	—	2	1	no	—
849	C₂×C₄×C₅	—	2	1	no	—
850	C₂×C₄×C₅	—	2	1	no	—
851	C₂×C₄×C₅	—	2	1	no	—
852	C₂×C₄×C₅	—	2	1	no	—
853	C₂×C₄×C₅	—	2	1	no	—
854	C₂×C₄×C₅	—	2	1	no	—
855	C₂×C₄×C₅	—	2	1	no	—
856	C₂×C₄×C₅	—	4	4	no	—
857	C₂×C₄×C₅	—	4	4	no	—
858	C₂×C₄×C₅	—	4	4	no	—
859	C₂×C₄×C₅	—	4	4	no	—
860	C₂×C₄×C₅	—	4	4	no	—
861	C₂×C₄×C₅	—	4	4	no	—
862	C₂×C₄×C₅	—	4	4	no	—
863	C₂×C₄×C₅	—	4	4	no	—
864	C₂×C₄×C₅	—	8	2	no	—
865	C₂×C₄×C₅	—	8	2	no	—
866	C₂×C₄×C₅	C₂×#41	1	2	yes	—
867	C₂×C₄×C₅	C₂×#41	1	2	yes	—
868	C₂×C₄×C₅	C₂×#41	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	H(5,𝔽₂)	1	2	yes	—
872	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
873	C₂⁵	C₂³×C₅	1	1	yes	characteristic
874	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
875	C₂²×D₄	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	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
880	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
881	C₂²×D₄	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	—	4	2	no	—
893	#125	—	4	2	no	—
894	#124	—	4	2	no	—
895	#123	—	4	2	no	—
896	#123	—	4	2	no	—
897	C₂²⋊Q₈	—	2	4	no	—
898	#121	—	2	4	no	—
899	#121	—	4	2	no	—
900	#120	—	2	4	no	—
901	#120	—	2	4	no	—
902	C₄×D₄	—	2	4	no	—
903	C₄×D₄	—	2	4	no	—
904	C₄×D₄	—	2	4	no	—
905	C₄×D₄	—	2	4	no	—
906	#117	—	4	2	no	—
907	C₂×C₄⋊C₄	—	4	2	no	—
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×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×C₂²⋊C₄	—	2	4	no	—
937	C₂×C₂²⋊C₄	—	4	2	no	—
938	C₂×C₂²⋊C₄	—	4	2	no	—
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×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×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
987	C₂×C₄²	—	4	2	no	—
988	C₂×C₄²	—	4	2	no	—
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	#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	#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	C₂²×C₅	—	2	2	no	—
1050	C₂²×C₅	—	2	2	no	—
1051	C₂²×C₅	—	2	2	no	—
1052	C₂²×C₅	—	2	2	no	—
1053	C₂²×C₅	—	2	2	no	—
1054	C₂²×C₅	—	2	2	no	—
1055	C₂²×C₅	—	2	2	no	—
1056	C₂²×C₅	—	2	2	no	—
1057	C₂²×C₅	—	2	2	no	—
1058	C₂²×C₅	—	4	1	no	—
1059	C₂²×C₅	—	4	1	no	—
1060	C₂²×C₅	—	4	1	no	—
1061	C₂²×C₅	—	4	1	no	—
1062	C₂²×C₅	—	4	1	no	—
1063	C₂²×C₅	—	4	1	no	—
1064	C₂²×C₅	—	4	1	no	—
1065	C₂²×C₅	—	4	1	no	—
1066	C₂²×C₅	—	4	1	no	—
1067	C₂²×C₅	—	4	1	no	—
1068	C₂²×C₅	—	4	1	no	—
1069	C₂²×C₅	—	4	1	no	—
1070	C₂²×C₅	—	4	1	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	#529	1	4	yes	—
1085	C₂²×C₅	C₂²×#41	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	C₂×H(5,𝔽₂)	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	—	4	1	no	—
1100	C₄×C₅	—	4	1	no	—
1101	C₄×C₅	—	4	1	no	—
1102	C₄×C₅	—	4	1	no	—
1103	C₄×C₅	—	4	1	no	—
1104	C₄×C₅	—	4	1	no	—
1105	C₄×C₅	—	4	1	no	—
1106	C₄×C₅	—	4	1	no	—
1107	C₄×C₅	—	4	1	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	C₂⁴	—	2	2	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	C₂⁴×C₅	1	1	yes	characteristic
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	—	2	2	no	—
1131	C₂×Q₈	—	4	1	no	—
1132	C₂×Q₈	—	4	1	no	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	2	2	no	—
1135	C₂×D₄	—	2	2	no	—
1136	C₂×D₄	—	2	2	no	—
1137	C₂×D₄	—	2	2	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	2	2	no	—
1140	C₂×D₄	—	2	2	no	—
1141	C₂×D₄	—	2	2	no	—
1142	C₂×D₄	—	2	2	no	—
1143	C₂×D₄	—	4	1	no	—
1144	C₂×D₄	—	4	1	no	—
1145	C₂×D₄	—	4	1	no	—
1146	C₂×D₄	—	4	1	no	—
1147	C₂×D₄	—	4	1	no	—
1148	C₂×D₄	—	4	1	no	—
1149	C₂×D₄	—	4	1	no	—
1150	C₂×D₄	—	4	1	no	—
1151	C₂×D₄	—	4	1	no	—
1152	C₂×D₄	—	4	1	no	—
1153	C₂×D₄	C₅×#41	1	4	yes	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	2	no	—
1161	C₂²×C₄	—	2	2	no	—
1162	C₂²×C₄	—	2	2	no	—
1163	C₂²×C₄	—	2	2	no	—
1164	C₂²×C₄	—	2	2	no	—
1165	C₂²×C₄	—	2	2	no	—
1166	C₂²×C₄	—	2	2	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	—	4	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	1	no	—
1180	C₂²×C₄	—	4	1	no	—
1181	C₂²×C₄	—	4	1	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	C₅×#41	1	4	yes	—
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	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1209	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
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	—	2	2	no	—
1219	C₄⋊C₄	—	2	2	no	—
1220	C₄⋊C₄	—	2	2	no	—
1221	C₄⋊C₄	—	2	2	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	—	4	1	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	4	1	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	4	1	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	4	1	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	—	2	2	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	2	2	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	4	1	no	—
1281	C₂²⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	4	1	no	—
1283	C₂²⋊C₄	—	4	1	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	C₅×#41	1	4	yes	—
1286	C₄²	—	2	2	no	—
1287	C₄²	—	2	2	no	—
1288	C₄²	—	2	2	no	—
1289	C₄²	—	2	2	no	—
1290	C₄²	—	2	2	no	—
1291	C₄²	—	2	2	no	—
1292	C₄²	—	2	2	no	—
1293	C₄²	—	2	2	no	—
1294	C₄²	—	4	1	no	—
1295	C₄²	—	4	1	no	—
1296	C₄²	—	4	1	no	—
1297	C₄²	—	4	1	no	—
1298	C₄²	—	4	1	no	—
1299	C₄²	—	4	1	no	—
1300	C₄²	—	4	1	no	—
1301	C₄²	—	4	1	no	—
1302	C₂×C₅	—	2	4	no	—
1303	C₂×C₅	—	4	2	no	—
1304	C₂×C₅	—	8	1	no	—
1305	C₂×C₅	—	8	1	no	—
1306	C₂×C₅	—	8	1	no	—
1307	C₂×C₅	C₂×#529	1	1	yes	characteristic
1308	C₂×C₅	#3459	1	1	yes	characteristic
1309	C₂×C₅	#3460	1	1	yes	characteristic
1310	C₂×C₅	#3513	1	1	yes	characteristic
1311	C₂×C₅	#3514	1	1	yes	characteristic
1312	C₂×C₅	#3519	1	1	yes	characteristic
1313	C₂×C₅	#3521	1	1	yes	characteristic
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	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	4	4	no	—
1346	C₂³	—	4	4	no	—
1347	C₂³	—	4	4	no	—
1348	C₂³	—	8	2	no	—
1349	C₂³	—	8	2	no	—
1350	C₂³	—	8	2	no	—
1351	C₂³	—	8	2	no	—
1352	C₂³	C₂×C₅×#41	1	2	yes	—
1353	C₂³	C₂×C₅×#41	1	2	yes	—
1354	C₂³	C₂×C₅×#41	1	2	yes	—
1355	C₂³	C₂×C₅×#41	1	2	yes	—
1356	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1357	Q₈	—	8	2	no	—
1358	D₄	—	2	8	no	—
1359	D₄	—	4	4	no	—
1360	D₄	—	8	2	no	—
1361	D₄	—	8	2	no	—
1362	D₄	—	8	2	no	—
1363	D₄	—	8	2	no	—
1364	D₄	—	8	2	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	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	—	4	4	no	—
1438	C₂×C₄	—	4	4	no	—
1439	C₂×C₄	—	4	4	no	—
1440	C₂×C₄	—	4	4	no	—
1441	C₂×C₄	—	4	4	no	—
1442	C₂×C₄	—	4	4	no	—
1443	C₂×C₄	—	4	4	no	—
1444	C₂×C₄	—	8	2	no	—
1445	C₂×C₄	—	8	2	no	—
1446	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1447	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1448	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1449	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1450	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1451	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1452	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1453	C₅	#35068	1	1	yes	characteristic, direct product factor, Sylow
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	—	2	2	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	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	4	1	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	8	8	no	—
1489	C₂²	C₅×#529	1	4	yes	—
1490	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1491	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1492	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1493	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1494	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1495	C₂²	C₅×#585	1	1	yes	characteristic
1496	C₂²	C₅×#585	1	1	yes	characteristic
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	2	2	no	—
1500	C₄	—	2	2	no	—
1501	C₄	—	2	2	no	—
1502	C₄	—	2	2	no	—
1503	C₄	—	2	2	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	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	4	1	no	—
1518	C₄	—	4	1	no	—
1519	C₄	—	4	1	no	—
1520	C₄	—	4	1	no	—
1521	C₄	—	4	1	no	—
1522	C₄	—	4	1	no	—
1523	C₂	—	2	4	no	—
1524	C₂	—	4	2	no	—
1525	C₂	—	8	1	no	—
1526	C₂	—	8	1	no	—
1527	C₂	—	8	1	no	—
1528	C₂	C₂×C₅×#529	1	1	yes	characteristic
1529	C₂	C₅×#3459	1	1	yes	characteristic
1530	C₂	C₅×#3460	1	1	yes	characteristic
1531	C₂	C₅×#3513	1	1	yes	characteristic
1532	C₂	C₅×#3514	1	1	yes	characteristic
1533	C₂	C₅×#3519	1	1	yes	characteristic
1534	C₂	C₅×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₅×#2424	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#2865	C₂	semidirect
2. C₅×#2861	C₂	semidirect
3. C₅×#2854	C₂	semidirect
4. C₅×#2852	C₂	semidirect
5. C₅×#2654	C₂	semidirect
6. C₅×#2653	C₂	semidirect
7. C₅×#2651	C₂	semidirect
8. C₅×#2648	C₂	semidirect
9. C₅×#2595	C₂	semidirect
10. C₅×#2594	C₂	semidirect
11. C₅×#2558	C₂	semidirect
12. C₅×#2557	C₂	semidirect
13. C₅×#2532	C₂	semidirect
14. C₅×#2531	C₂	semidirect
15. C₅×#2510	C₂	semidirect
16. C₅×#2480	C₂	semidirect
17. C₅×#2479	C₂	semidirect
18. C₅×#2476	C₂	semidirect
19. C₅×#2473	C₂	semidirect
20. C₅×#2472	C₂	semidirect
21. C₅×#2450	C₂	semidirect
22. C₅×#2443	C₂	semidirect
24. C₅×#2418	C₂	semidirect
25. C₅×#2329	C₂	semidirect
26. C₅×#2325	C₂	semidirect
27. C₅×#2321	C₂	semidirect
28. C₅×#2321	C₂	semidirect
29. C₅×#2290	C₂	semidirect
30. C₂×C₅×#388	C₂	semidirect
31. C₄²×C₅×D₄	C₂	semidirect
33. C₂×C₅×#125	C₂²	semidirect
36. C₂×C₅×#123	C₂²	semidirect
46. C₂×C₅×#117	C₂²	semidirect
52. C₂²×C₄²×C₅	C₂²	semidirect
53. C₅×#401	C₂²	semidirect
54. C₅×#400	C₂²	semidirect
55. C₅×#400	C₂²	semidirect
56. C₅×#400	C₂²	semidirect
58. C₅×#399	C₂²	semidirect
59. C₅×#398	C₂²	semidirect
60. C₅×#398	C₂²	semidirect
61. C₅×#398	C₂²	semidirect
62. C₅×#398	C₂²	semidirect
63. C₅×#398	C₂²	semidirect
69. C₅×#397	C₂²	semidirect
70. C₅×#397	C₂²	semidirect
71. C₅×#397	C₂²	semidirect
74. C₅×#396	C₂²	semidirect
81. C₅×#394	C₂²	semidirect
83. C₅×#393	C₂²	semidirect
85. C₅×#391	C₂²	semidirect
86. C₅×#391	C₂²	semidirect
87. C₅×#391	C₂²	semidirect
94. C₅×#389	C₂²	semidirect
95. C₅×#389	C₂²	semidirect
96. C₅×#389	C₂²	semidirect
121. C₅×#388	C₂²	semidirect
122. C₅×#388	C₂²	semidirect
123. C₅×#388	C₂²	semidirect
124. C₅×#388	C₂²	semidirect
125. C₅×#388	C₂²	semidirect
126. C₅×#388	C₂²	semidirect
127. C₅×#388	C₂²	semidirect
128. C₅×#387	C₂²	semidirect
129. C₅×#387	C₂²	semidirect
130. C₅×#387	C₂²	semidirect
131. C₅×#387	C₂²	semidirect
132. C₅×#387	C₂²	semidirect
133. C₅×#387	C₂²	semidirect
134. C₅×#387	C₂²	semidirect
135. C₅×#387	C₂²	semidirect
136. C₅×#387	C₂²	semidirect
137. C₅×#387	C₂²	semidirect
138. C₅×#387	C₂²	semidirect
139. C₅×#387	C₂²	semidirect
140. C₅×#387	C₂²	semidirect
153. C₅×#386	C₂²	semidirect
154. C₅×#386	C₂²	semidirect
161. C₅×#385	C₂²	semidirect
162. C₅×#385	C₂²	semidirect
163. C₅×#385	C₂²	semidirect
164. C₅×#385	C₂²	semidirect
165. C₅×#383	C₂²	semidirect
168. C₅×#380	C₂²	semidirect
171. C₄×C₅×C₄⋊C₄	C₂²	semidirect
172. C₄×C₅×C₄⋊C₄	C₂²	semidirect
173. C₄×C₅×C₄⋊C₄	C₂²	semidirect
174. C₄×C₅×C₄⋊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
186. C₄³×C₅	C₂²	semidirect
187. #35068	C₅	direct (N × H)
364. #2865	C₂×C₅	semidirect
365. #2861	C₂×C₅	semidirect
366. #2854	C₂×C₅	semidirect
367. #2852	C₂×C₅	semidirect
368. #2654	C₂×C₅	semidirect
369. #2653	C₂×C₅	semidirect
370. #2651	C₂×C₅	semidirect
371. #2648	C₂×C₅	semidirect
372. #2595	C₂×C₅	semidirect
373. #2594	C₂×C₅	semidirect
374. #2558	C₂×C₅	semidirect
375. #2557	C₂×C₅	semidirect
376. #2532	C₂×C₅	semidirect
377. #2531	C₂×C₅	semidirect
378. #2510	C₂×C₅	semidirect
379. #2480	C₂×C₅	semidirect
380. #2479	C₂×C₅	semidirect
381. #2476	C₂×C₅	semidirect
382. #2473	C₂×C₅	semidirect
383. #2472	C₂×C₅	semidirect
384. #2450	C₂×C₅	semidirect
385. #2443	C₂×C₅	semidirect
387. #2418	C₂×C₅	semidirect
388. #2329	C₂×C₅	semidirect
389. #2325	C₂×C₅	semidirect
390. #2321	C₂×C₅	semidirect
391. #2321	C₂×C₅	semidirect
392. #2290	C₂×C₅	semidirect
393. C₂×#388	C₂×C₅	semidirect
394. C₄²×D₄	C₂×C₅	semidirect
580. C₂×#125	C₂²×C₅	semidirect
583. C₂×#123	C₂²×C₅	semidirect
593. C₂×#117	C₂²×C₅	semidirect
599. C₂²×C₄²	C₂²×C₅	semidirect
600. #401	C₂²×C₅	semidirect
601. #400	C₂²×C₅	semidirect
602. #400	C₂²×C₅	semidirect
603. #400	C₂²×C₅	semidirect
605. #399	C₂²×C₅	semidirect
606. #398	C₂²×C₅	semidirect
607. #398	C₂²×C₅	semidirect
608. #398	C₂²×C₅	semidirect
609. #398	C₂²×C₅	semidirect
610. #398	C₂²×C₅	semidirect
616. #397	C₂²×C₅	semidirect
617. #397	C₂²×C₅	semidirect
618. #397	C₂²×C₅	semidirect
621. #396	C₂²×C₅	semidirect
628. #394	C₂²×C₅	semidirect
630. #393	C₂²×C₅	semidirect
632. #391	C₂²×C₅	semidirect
633. #391	C₂²×C₅	semidirect
634. #391	C₂²×C₅	semidirect
641. #389	C₂²×C₅	semidirect
642. #389	C₂²×C₅	semidirect
643. #389	C₂²×C₅	semidirect
668. #388	C₂²×C₅	semidirect
669. #388	C₂²×C₅	semidirect
670. #388	C₂²×C₅	semidirect
671. #388	C₂²×C₅	semidirect
672. #388	C₂²×C₅	semidirect
673. #388	C₂²×C₅	semidirect
674. #388	C₂²×C₅	semidirect
675. #387	C₂²×C₅	semidirect
676. #387	C₂²×C₅	semidirect
677. #387	C₂²×C₅	semidirect
678. #387	C₂²×C₅	semidirect
679. #387	C₂²×C₅	semidirect
680. #387	C₂²×C₅	semidirect
681. #387	C₂²×C₅	semidirect
682. #387	C₂²×C₅	semidirect
683. #387	C₂²×C₅	semidirect
684. #387	C₂²×C₅	semidirect
685. #387	C₂²×C₅	semidirect
686. #387	C₂²×C₅	semidirect
687. #387	C₂²×C₅	semidirect
700. #386	C₂²×C₅	semidirect
701. #386	C₂²×C₅	semidirect
708. #385	C₂²×C₅	semidirect
709. #385	C₂²×C₅	semidirect
710. #385	C₂²×C₅	semidirect
711. #385	C₂²×C₅	semidirect
712. #383	C₂²×C₅	semidirect
715. #380	C₂²×C₅	semidirect
718. C₄×C₄⋊C₄	C₂²×C₅	semidirect
719. C₄×C₄⋊C₄	C₂²×C₅	semidirect
720. C₄×C₄⋊C₄	C₂²×C₅	semidirect
721. C₄×C₄⋊C₄	C₂²×C₅	semidirect
726. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
727. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
728. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
729. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
730. #376	C₂²×C₅	semidirect
733. C₄³	C₂²×C₅	semidirect
1453. C₅	#35068	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#2865	2
C₅×#2861	2
C₅×#2854	2
C₅×#2852	2
C₅×#2654	2
C₅×#2653	2
C₅×#2651	2
C₅×#2648	2
C₅×#2595	2
C₅×#2594	2
C₅×#2558	2
C₅×#2557	2
C₅×#2532	2
C₅×#2531	2
C₅×#2510	2
C₅×#2480	2
C₅×#2479	2
C₅×#2476	2
C₅×#2473	2
C₅×#2472	2
C₅×#2450	2
C₅×#2443	2
C₅×#2424	2
C₅×#2418	2
C₅×#2329	2
C₅×#2325	2
C₅×#2321	2
C₅×#2290	2
C₂×C₅×#388	2
C₄²×C₅×D₄	2
#35068	5

Subgroups — C5×#35068 #11957788

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#35068 #11957788