Subgroups — C₅×#34459 #11957179

Order 1280.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#552	C₂	1	1	yes	maximal, characteristic
2	C₅×#2383	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2382	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2382	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2378	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2373	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2370	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2368	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2359	C₂	1	1	yes	maximal, characteristic
10	C₅×#2359	C₂	1	1	yes	maximal, characteristic
11	C₅×#2355	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2349	C₂	1	1	yes	maximal, characteristic
13	C₅×#2344	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2343	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2343	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2343	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2336	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2336	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2330	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2329	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2329	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#2322	C₂	1	1	yes	maximal, characteristic
25	C₅×#2320	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅×#2318	C₂	1	1	yes	maximal, characteristic
27	C₅×#2317	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅×#2314	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₅×#123	C₂	1	1	yes	maximal, characteristic
30	C₅×#2296	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅×#387	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#552	C₄	1	16	yes	complemented
33	C₂×C₅×#126	C₂²	1	1	yes	characteristic
34	C₂×C₅×#126	C₂²	1	1	yes	characteristic
35	C₂×C₅×#125	C₂²	1	1	yes	characteristic
36	C₂×C₅×#125	C₂²	1	1	yes	characteristic
37	C₂×C₅×#125	C₂²	1	1	yes	characteristic
38	C₂×C₅×#123	C₂²	1	1	yes	characteristic
39	C₂×C₅×#123	C₂²	1	1	yes	characteristic
40	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₅×Q₈	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
47	C₂×C₅×#117	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	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
54	C₅×#391	C₂²	1	1	yes	characteristic
55	C₅×#391	C₂²	1	1	yes	characteristic
56	C₅×#391	C₂²	1	1	yes	characteristic
57	C₅×#391	C₂²	1	1	yes	characteristic
58	C₅×#389	C₂²	1	1	yes	characteristic
59	C₅×#389	C₂²	1	1	yes	characteristic
60	C₅×#389	C₂²	1	1	yes	characteristic
61	C₅×#389	C₂²	1	1	yes	characteristic
62	C₅×#389	C₂²	1	1	yes	characteristic
63	C₅×#389	C₂²	1	1	yes	characteristic
64	C₅×#389	C₂²	1	1	yes	characteristic
65	C₅×#389	C₂²	1	1	yes	characteristic
66	C₅×#389	C₂²	1	1	yes	characteristic
67	C₅×#389	C₂²	1	1	yes	characteristic
68	C₅×#389	C₂²	1	1	yes	characteristic
69	C₅×#389	C₂²	1	1	yes	characteristic
70	C₅×#389	C₂²	1	1	yes	characteristic
71	C₅×#389	C₂²	1	1	yes	characteristic
72	C₅×#389	C₂²	1	1	yes	characteristic
73	C₅×#389	C₂²	1	1	yes	characteristic
74	C₅×#389	C₂²	1	1	yes	characteristic
75	C₅×#389	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×#387	C₂²	1	1	yes	characteristic
87	C₅×#387	C₂²	1	1	yes	characteristic
88	C₅×#387	C₂²	1	1	yes	characteristic
89	C₅×#387	C₂²	1	1	yes	characteristic
90	C₅×#387	C₂²	1	1	yes	characteristic
91	C₅×#387	C₂²	1	1	yes	characteristic
92	C₅×#387	C₂²	1	1	yes	characteristic
93	C₅×#387	C₂²	1	1	yes	characteristic
94	C₅×#387	C₂²	1	1	yes	characteristic
95	C₅×#387	C₂²	1	1	yes	characteristic
96	C₅×#387	C₂²	1	1	yes	characteristic
97	C₅×#387	C₂²	1	1	yes	characteristic
98	C₅×#387	C₂²	1	1	yes	characteristic
99	C₅×#387	C₂²	1	1	yes	characteristic
100	C₅×#387	C₂²	1	1	yes	characteristic
101	C₅×#387	C₂²	1	1	yes	characteristic
102	C₅×#387	C₂²	1	1	yes	characteristic
103	C₅×#387	C₂²	1	1	yes	characteristic
104	C₅×#387	C₂²	1	1	yes	characteristic
105	C₅×#387	C₂²	1	1	yes	characteristic
106	C₅×#387	C₂²	1	1	yes	characteristic
107	C₅×#387	C₂²	1	1	yes	characteristic
108	C₅×#387	C₂²	1	1	yes	characteristic
109	C₅×#387	C₂²	1	1	yes	characteristic
110	C₅×#387	C₂²	1	1	yes	characteristic
111	C₅×#387	C₂²	1	1	yes	characteristic
112	C₅×#387	C₂²	1	1	yes	characteristic
113	C₅×#387	C₂²	1	1	yes	characteristic
114	C₅×#387	C₂²	1	1	yes	characteristic
115	C₅×#387	C₂²	1	1	yes	characteristic
116	C₅×#387	C₂²	1	1	yes	characteristic
117	C₅×#387	C₂²	1	1	yes	characteristic
118	C₅×#387	C₂²	1	1	yes	characteristic
119	C₅×#387	C₂²	1	1	yes	characteristic
120	C₅×#387	C₂²	1	1	yes	characteristic
121	C₅×#387	C₂²	1	1	yes	characteristic
122	C₅×#387	C₂²	1	1	yes	characteristic
123	C₅×#387	C₂²	1	1	yes	characteristic
124	C₅×#386	C₂²	1	1	yes	characteristic
125	C₅×#386	C₂²	1	1	yes	characteristic
126	C₅×#385	C₂²	1	1	yes	characteristic
127	C₅×#385	C₂²	1	1	yes	characteristic
128	C₅×#385	C₂²	1	1	yes	characteristic
129	C₅×#385	C₂²	1	1	yes	characteristic
130	C₅×#385	C₂²	1	1	yes	characteristic
131	C₅×#385	C₂²	1	1	yes	characteristic
132	C₅×#385	C₂²	1	1	yes	characteristic
133	C₅×#385	C₂²	1	1	yes	characteristic
134	C₅×#385	C₂²	1	1	yes	characteristic
135	C₅×#385	C₂²	1	1	yes	characteristic
136	C₅×#385	C₂²	1	1	yes	characteristic
137	C₅×#385	C₂²	1	1	yes	characteristic
138	C₅×#385	C₂²	1	1	yes	characteristic
139	C₅×#385	C₂²	1	1	yes	characteristic
140	C₅×#384	C₂²	1	1	yes	characteristic
141	C₅×#384	C₂²	1	1	yes	characteristic
142	C₅×#383	C₂²	1	1	yes	characteristic
143	C₅×#383	C₂²	1	1	yes	characteristic
144	C₅×#383	C₂²	1	1	yes	characteristic
145	C₅×#382	C₂²	1	1	yes	characteristic
146	C₅×#382	C₂²	1	1	yes	characteristic
147	C₅×#382	C₂²	1	1	yes	characteristic
148	C₅×#382	C₂²	1	1	yes	characteristic
149	C₅×#382	C₂²	1	1	yes	characteristic
150	C₅×#382	C₂²	1	1	yes	characteristic
151	C₅×#381	C₂²	1	1	yes	characteristic
152	C₅×#381	C₂²	1	1	yes	characteristic
153	C₅×#381	C₂²	1	1	yes	characteristic
154	C₅×#380	C₂²	1	1	yes	characteristic
155	C₅×#380	C₂²	1	1	yes	characteristic
156	C₅×#380	C₂²	1	1	yes	characteristic
157	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₅×#376	C₂²	1	1	yes	characteristic
182	C₅×#376	C₂²	1	1	yes	characteristic
183	C₂×C₅×#95	C₂²	1	1	yes	characteristic
184	C₂×C₅×#95	C₂²	1	1	yes	characteristic
185	C₂×C₅×#95	C₂²	1	1	yes	characteristic
186	C₂×C₅×#95	C₂²	1	1	yes	characteristic
187	C₂×C₅×#95	C₂²	1	1	yes	characteristic
188	#34459	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
189	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
201	C₅×#126	C₂×C₄	1	8	yes	complemented
202	C₅×#126	C₂×C₄	1	8	yes	complemented
203	C₅×#125	C₂×C₄	1	8	yes	complemented
204	C₅×#125	C₂×C₄	1	8	yes	complemented
205	C₅×#125	C₂×C₄	1	8	yes	complemented
206	C₅×#123	C₂×C₄	1	8	yes	—
207	C₅×#123	C₂×C₄	1	8	yes	—
208	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
209	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
210	C₄×C₅×Q₈	C₂×C₄	1	8	yes	complemented
211	C₄×C₅×D₄	—	4	2	no	—
212	C₄×C₅×D₄	—	4	2	no	—
213	C₄×C₅×D₄	C₂×C₄	1	8	yes	—
214	C₅×#117	—	4	2	no	—
215	C₅×#117	—	4	2	no	—
216	C₅×#117	C₂×C₄	1	8	yes	complemented
217	C₅×#117	C₂×C₄	1	8	yes	complemented
218	C₅×#117	C₂×C₄	1	8	yes	complemented
219	C₂×C₅×C₄⋊C₄	—	4	2	no	—
220	C₂×C₅×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
221	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₄²×C₅	—	4	2	no	—
284	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
286	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
309	C₅×#95	C₂³	1	1	yes	characteristic
310	C₅×#95	C₂³	1	1	yes	characteristic
311	C₅×#95	C₂³	1	1	yes	characteristic
312	C₅×#95	C₂³	1	1	yes	characteristic
313	C₅×#95	C₂³	1	1	yes	characteristic
314	C₅×#95	C₂³	1	1	yes	characteristic
315	C₅×#95	C₂³	1	1	yes	characteristic
316	C₅×#95	C₂³	1	1	yes	characteristic
317	C₅×#95	C₂³	1	1	yes	characteristic
318	C₅×#95	C₂³	1	1	yes	characteristic
319	C₅×#95	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	C₅×#95	C₂³	1	1	yes	characteristic
365	C₂×#552	C₂×C₅	1	1	yes	characteristic
366	#2383	C₂×C₅	1	1	yes	characteristic, complemented
367	#2382	C₂×C₅	1	1	yes	characteristic, complemented
368	#2382	C₂×C₅	1	1	yes	characteristic, complemented
369	#2378	C₂×C₅	1	1	yes	characteristic, complemented
370	#2373	C₂×C₅	1	1	yes	characteristic, complemented
371	#2370	C₂×C₅	1	1	yes	characteristic, complemented
372	#2368	C₂×C₅	1	1	yes	characteristic, complemented
373	#2359	C₂×C₅	1	1	yes	characteristic
374	#2359	C₂×C₅	1	1	yes	characteristic
375	#2355	C₂×C₅	1	1	yes	characteristic, complemented
376	#2349	C₂×C₅	1	1	yes	characteristic
377	#2344	C₂×C₅	1	1	yes	characteristic, complemented
378	#2343	C₂×C₅	1	1	yes	characteristic, complemented
379	#2343	C₂×C₅	1	1	yes	characteristic, complemented
380	#2343	C₂×C₅	1	1	yes	characteristic, complemented
381	#2336	C₂×C₅	1	1	yes	characteristic, complemented
382	#2336	C₂×C₅	1	1	yes	characteristic, complemented
383	#2334	C₂×C₅	1	1	yes	characteristic, complemented
384	#2334	C₂×C₅	1	1	yes	characteristic, complemented
385	#2330	C₂×C₅	1	1	yes	characteristic, complemented
386	#2329	C₂×C₅	1	1	yes	characteristic, complemented
387	#2329	C₂×C₅	1	1	yes	characteristic, complemented
388	#2322	C₂×C₅	1	1	yes	characteristic
389	#2320	C₂×C₅	1	1	yes	characteristic, complemented
390	#2318	C₂×C₅	1	1	yes	characteristic
391	#2317	C₂×C₅	1	1	yes	characteristic, complemented
392	#2314	C₂×C₅	1	1	yes	characteristic, complemented
393	C₄×#123	C₂×C₅	1	1	yes	characteristic
394	#2296	C₂×C₅	1	1	yes	characteristic, complemented
395	C₂×#387	C₂×C₅	1	1	yes	characteristic, complemented
396	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
398	C₂×C₅×Q₈	—	4	1	no	—
399	C₂×C₅×Q₈	—	4	1	no	—
400	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
401	C₂×C₅×D₄	—	2	2	no	—
402	C₂×C₅×D₄	—	2	2	no	—
403	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
404	C₂²×C₄×C₅	—	2	2	no	—
405	C₂²×C₄×C₅	—	2	2	no	—
406	C₂²×C₄×C₅	—	2	2	no	—
407	C₂²×C₄×C₅	—	2	2	no	—
408	C₂²×C₄×C₅	—	2	2	no	—
409	C₂²×C₄×C₅	—	2	2	no	—
410	C₂²×C₄×C₅	—	2	2	no	—
411	C₂²×C₄×C₅	—	2	2	no	—
412	C₂²×C₄×C₅	—	2	2	no	—
413	C₂²×C₄×C₅	—	2	2	no	—
414	C₂²×C₄×C₅	—	4	1	no	—
415	C₂²×C₄×C₅	—	4	1	no	—
416	C₂²×C₄×C₅	—	4	1	no	—
417	C₂²×C₄×C₅	—	4	1	no	—
418	C₂²×C₄×C₅	—	4	1	no	—
419	C₂²×C₄×C₅	—	4	1	no	—
420	C₂²×C₄×C₅	—	4	1	no	—
421	C₂²×C₄×C₅	—	4	1	no	—
422	C₂²×C₄×C₅	—	4	1	no	—
423	C₂²×C₄×C₅	—	4	1	no	—
424	C₂²×C₄×C₅	—	4	1	no	—
425	C₂²×C₄×C₅	—	4	1	no	—
426	C₂²×C₄×C₅	—	4	1	no	—
427	C₂²×C₄×C₅	—	4	1	no	—
428	C₂²×C₄×C₅	—	4	1	no	—
429	C₂²×C₄×C₅	—	4	1	no	—
430	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
431	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
432	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
433	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
434	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
463	C₅×C₄⋊C₄	—	2	2	no	—
464	C₅×C₄⋊C₄	—	2	2	no	—
465	C₅×C₄⋊C₄	—	4	1	no	—
466	C₅×C₄⋊C₄	—	4	1	no	—
467	C₅×C₄⋊C₄	—	4	1	no	—
468	C₅×C₄⋊C₄	—	4	1	no	—
469	C₅×C₄⋊C₄	—	4	1	no	—
470	C₅×C₄⋊C₄	—	4	1	no	—
471	C₅×C₄⋊C₄	—	4	1	no	—
472	C₅×C₄⋊C₄	—	4	1	no	—
473	C₅×C₄⋊C₄	—	4	1	no	—
474	C₅×C₄⋊C₄	—	4	1	no	—
475	C₅×C₄⋊C₄	—	4	1	no	—
476	C₅×C₄⋊C₄	—	4	1	no	—
477	C₅×C₄⋊C₄	—	4	1	no	—
478	C₅×C₄⋊C₄	—	4	1	no	—
479	C₅×C₄⋊C₄	—	4	1	no	—
480	C₅×C₄⋊C₄	—	4	1	no	—
481	C₅×C₄⋊C₄	—	4	1	no	—
482	C₅×C₄⋊C₄	—	4	1	no	—
483	C₅×C₄⋊C₄	—	4	1	no	—
484	C₅×C₄⋊C₄	—	4	1	no	—
485	C₅×C₄⋊C₄	—	4	1	no	—
486	C₅×C₄⋊C₄	—	4	1	no	—
487	C₅×C₄⋊C₄	—	4	1	no	—
488	C₅×C₄⋊C₄	—	4	1	no	—
489	C₅×C₄⋊C₄	—	4	1	no	—
490	C₅×C₄⋊C₄	—	4	1	no	—
491	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
492	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
493	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
494	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
495	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
496	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
497	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
498	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
499	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
500	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
501	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
502	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
503	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
504	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
505	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
506	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
507	C₅×C₂²⋊C₄	—	2	2	no	—
508	C₅×C₂²⋊C₄	—	2	2	no	—
509	C₅×C₂²⋊C₄	—	2	2	no	—
510	C₅×C₂²⋊C₄	—	2	2	no	—
511	C₅×C₂²⋊C₄	—	4	1	no	—
512	C₅×C₂²⋊C₄	—	4	1	no	—
513	C₅×C₂²⋊C₄	—	4	1	no	—
514	C₅×C₂²⋊C₄	—	4	1	no	—
515	C₅×C₂²⋊C₄	—	4	1	no	—
516	C₅×C₂²⋊C₄	—	4	1	no	—
517	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
518	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
519	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
520	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
521	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
522	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
523	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
524	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
525	C₄²×C₅	—	2	2	no	—
526	C₄²×C₅	—	4	1	no	—
527	C₄²×C₅	—	4	1	no	—
528	C₄²×C₅	—	4	1	no	—
529	C₄²×C₅	—	4	1	no	—
530	C₄²×C₅	—	4	1	no	—
531	C₄²×C₅	—	4	1	no	—
532	C₄²×C₅	—	4	1	no	—
533	C₄²×C₅	—	4	1	no	—
534	C₄²×C₅	—	4	1	no	—
535	C₄²×C₅	—	4	1	no	—
536	C₄²×C₅	—	4	1	no	—
537	C₄²×C₅	—	4	1	no	—
538	C₄²×C₅	—	4	1	no	—
539	C₄²×C₅	—	4	1	no	—
540	C₄²×C₅	—	4	1	no	—
541	C₄²×C₅	—	4	1	no	—
542	C₄²×C₅	—	4	1	no	—
543	C₄²×C₅	—	4	1	no	—
544	C₄²×C₅	—	4	1	no	—
545	C₄²×C₅	C₂²×C₄	1	4	yes	—
546	C₄²×C₅	C₂²×C₄	1	4	yes	—
547	C₄²×C₅	C₂²×C₄	1	4	yes	—
548	C₄²×C₅	C₂²×C₄	1	4	yes	—
549	C₄²×C₅	C₂²×C₄	1	4	yes	—
550	#552	C₄×C₅	1	16	yes	complemented
551	C₂×#126	C₂²×C₅	1	1	yes	characteristic
552	C₂×#126	C₂²×C₅	1	1	yes	characteristic
553	C₂×#125	C₂²×C₅	1	1	yes	characteristic
554	C₂×#125	C₂²×C₅	1	1	yes	characteristic
555	C₂×#125	C₂²×C₅	1	1	yes	characteristic
556	C₂×#123	C₂²×C₅	1	1	yes	characteristic
557	C₂×#123	C₂²×C₅	1	1	yes	characteristic
558	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
559	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
560	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
561	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
562	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
563	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
564	C₂×#117	C₂²×C₅	1	1	yes	characteristic
565	C₂×#117	C₂²×C₅	1	1	yes	characteristic
566	C₂×#117	C₂²×C₅	1	1	yes	characteristic
567	C₂×#117	C₂²×C₅	1	1	yes	characteristic
568	C₂×#117	C₂²×C₅	1	1	yes	characteristic
569	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
570	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
571	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
572	#391	C₂²×C₅	1	1	yes	characteristic
573	#391	C₂²×C₅	1	1	yes	characteristic
574	#391	C₂²×C₅	1	1	yes	characteristic
575	#391	C₂²×C₅	1	1	yes	characteristic
576	#389	C₂²×C₅	1	1	yes	characteristic
577	#389	C₂²×C₅	1	1	yes	characteristic
578	#389	C₂²×C₅	1	1	yes	characteristic
579	#389	C₂²×C₅	1	1	yes	characteristic
580	#389	C₂²×C₅	1	1	yes	characteristic
581	#389	C₂²×C₅	1	1	yes	characteristic
582	#389	C₂²×C₅	1	1	yes	characteristic
583	#389	C₂²×C₅	1	1	yes	characteristic
584	#389	C₂²×C₅	1	1	yes	characteristic
585	#389	C₂²×C₅	1	1	yes	characteristic
586	#389	C₂²×C₅	1	1	yes	characteristic
587	#389	C₂²×C₅	1	1	yes	characteristic
588	#389	C₂²×C₅	1	1	yes	characteristic
589	#389	C₂²×C₅	1	1	yes	characteristic
590	#389	C₂²×C₅	1	1	yes	characteristic
591	#389	C₂²×C₅	1	1	yes	characteristic
592	#389	C₂²×C₅	1	1	yes	characteristic
593	#389	C₂²×C₅	1	1	yes	characteristic
594	#388	C₂²×C₅	1	1	yes	characteristic
595	#388	C₂²×C₅	1	1	yes	characteristic
596	#388	C₂²×C₅	1	1	yes	characteristic
597	#388	C₂²×C₅	1	1	yes	characteristic
598	#388	C₂²×C₅	1	1	yes	characteristic
599	#388	C₂²×C₅	1	1	yes	characteristic
600	#388	C₂²×C₅	1	1	yes	characteristic
601	#388	C₂²×C₅	1	1	yes	characteristic
602	#388	C₂²×C₅	1	1	yes	characteristic
603	#388	C₂²×C₅	1	1	yes	characteristic
604	#387	C₂²×C₅	1	1	yes	characteristic
605	#387	C₂²×C₅	1	1	yes	characteristic
606	#387	C₂²×C₅	1	1	yes	characteristic
607	#387	C₂²×C₅	1	1	yes	characteristic
608	#387	C₂²×C₅	1	1	yes	characteristic
609	#387	C₂²×C₅	1	1	yes	characteristic
610	#387	C₂²×C₅	1	1	yes	characteristic
611	#387	C₂²×C₅	1	1	yes	characteristic
612	#387	C₂²×C₅	1	1	yes	characteristic
613	#387	C₂²×C₅	1	1	yes	characteristic
614	#387	C₂²×C₅	1	1	yes	characteristic
615	#387	C₂²×C₅	1	1	yes	characteristic
616	#387	C₂²×C₅	1	1	yes	characteristic
617	#387	C₂²×C₅	1	1	yes	characteristic
618	#387	C₂²×C₅	1	1	yes	characteristic
619	#387	C₂²×C₅	1	1	yes	characteristic
620	#387	C₂²×C₅	1	1	yes	characteristic
621	#387	C₂²×C₅	1	1	yes	characteristic
622	#387	C₂²×C₅	1	1	yes	characteristic
623	#387	C₂²×C₅	1	1	yes	characteristic
624	#387	C₂²×C₅	1	1	yes	characteristic
625	#387	C₂²×C₅	1	1	yes	characteristic
626	#387	C₂²×C₅	1	1	yes	characteristic
627	#387	C₂²×C₅	1	1	yes	characteristic
628	#387	C₂²×C₅	1	1	yes	characteristic
629	#387	C₂²×C₅	1	1	yes	characteristic
630	#387	C₂²×C₅	1	1	yes	characteristic
631	#387	C₂²×C₅	1	1	yes	characteristic
632	#387	C₂²×C₅	1	1	yes	characteristic
633	#387	C₂²×C₅	1	1	yes	characteristic
634	#387	C₂²×C₅	1	1	yes	characteristic
635	#387	C₂²×C₅	1	1	yes	characteristic
636	#387	C₂²×C₅	1	1	yes	characteristic
637	#387	C₂²×C₅	1	1	yes	characteristic
638	#387	C₂²×C₅	1	1	yes	characteristic
639	#387	C₂²×C₅	1	1	yes	characteristic
640	#387	C₂²×C₅	1	1	yes	characteristic
641	#387	C₂²×C₅	1	1	yes	characteristic
642	#386	C₂²×C₅	1	1	yes	characteristic
643	#386	C₂²×C₅	1	1	yes	characteristic
644	#385	C₂²×C₅	1	1	yes	characteristic
645	#385	C₂²×C₅	1	1	yes	characteristic
646	#385	C₂²×C₅	1	1	yes	characteristic
647	#385	C₂²×C₅	1	1	yes	characteristic
648	#385	C₂²×C₅	1	1	yes	characteristic
649	#385	C₂²×C₅	1	1	yes	characteristic
650	#385	C₂²×C₅	1	1	yes	characteristic
651	#385	C₂²×C₅	1	1	yes	characteristic
652	#385	C₂²×C₅	1	1	yes	characteristic
653	#385	C₂²×C₅	1	1	yes	characteristic
654	#385	C₂²×C₅	1	1	yes	characteristic
655	#385	C₂²×C₅	1	1	yes	characteristic
656	#385	C₂²×C₅	1	1	yes	characteristic
657	#385	C₂²×C₅	1	1	yes	characteristic
658	#384	C₂²×C₅	1	1	yes	characteristic
659	#384	C₂²×C₅	1	1	yes	characteristic
660	#383	C₂²×C₅	1	1	yes	characteristic
661	#383	C₂²×C₅	1	1	yes	characteristic
662	#383	C₂²×C₅	1	1	yes	characteristic
663	#382	C₂²×C₅	1	1	yes	characteristic
664	#382	C₂²×C₅	1	1	yes	characteristic
665	#382	C₂²×C₅	1	1	yes	characteristic
666	#382	C₂²×C₅	1	1	yes	characteristic
667	#382	C₂²×C₅	1	1	yes	characteristic
668	#382	C₂²×C₅	1	1	yes	characteristic
669	#381	C₂²×C₅	1	1	yes	characteristic
670	#381	C₂²×C₅	1	1	yes	characteristic
671	#381	C₂²×C₅	1	1	yes	characteristic
672	#380	C₂²×C₅	1	1	yes	characteristic
673	#380	C₂²×C₅	1	1	yes	characteristic
674	#380	C₂²×C₅	1	1	yes	characteristic
675	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
676	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
677	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
678	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
679	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
680	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
681	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
682	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
683	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
684	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
685	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
686	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
687	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
688	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
689	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
690	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
691	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
692	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
693	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
694	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
695	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
696	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
697	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
698	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
699	#376	C₂²×C₅	1	1	yes	characteristic
700	#376	C₂²×C₅	1	1	yes	characteristic
701	C₂×#95	C₂²×C₅	1	1	yes	characteristic
702	C₂×#95	C₂²×C₅	1	1	yes	characteristic
703	C₂×#95	C₂²×C₅	1	1	yes	characteristic
704	C₂×#95	C₂²×C₅	1	1	yes	characteristic
705	C₂×#95	C₂²×C₅	1	1	yes	characteristic
706	C₂³×C₅	—	2	1	no	—
707	C₂³×C₅	—	2	1	no	—
708	C₂³×C₅	—	2	1	no	—
709	C₂³×C₅	—	2	1	no	—
710	C₂³×C₅	—	2	1	no	—
711	C₂³×C₅	—	2	1	no	—
712	C₂³×C₅	—	2	1	no	—
713	C₂³×C₅	—	2	1	no	—
714	C₂³×C₅	—	2	1	no	—
715	C₂³×C₅	—	2	1	no	—
716	C₂³×C₅	C₂³×C₄	1	2	yes	—
717	C₂³×C₅	C₂³×C₄	1	2	yes	—
718	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
719	C₂³×C₅	2₋¹⁺⁴	1	2	yes	—
720	C₂³×C₅	C₂⁵	1	1	yes	characteristic
721	C₅×Q₈	—	4	4	no	—
722	C₅×D₄	—	2	8	no	—
723	C₂×C₄×C₅	—	2	8	no	—
724	C₂×C₄×C₅	—	2	8	no	—
725	C₂×C₄×C₅	—	2	1	no	—
726	C₂×C₄×C₅	—	2	1	no	—
727	C₂×C₄×C₅	—	2	1	no	—
728	C₂×C₄×C₅	—	2	1	no	—
729	C₂×C₄×C₅	—	2	1	no	—
730	C₂×C₄×C₅	—	2	1	no	—
731	C₂×C₄×C₅	—	2	1	no	—
732	C₂×C₄×C₅	—	2	1	no	—
733	C₂×C₄×C₅	—	2	1	no	—
734	C₂×C₄×C₅	—	2	1	no	—
735	C₂×C₄×C₅	—	2	1	no	—
736	C₂×C₄×C₅	—	2	1	no	—
737	C₂×C₄×C₅	—	2	1	no	—
738	C₂×C₄×C₅	—	2	1	no	—
739	C₂×C₄×C₅	—	2	1	no	—
740	C₂×C₄×C₅	—	2	1	no	—
741	C₂×C₄×C₅	—	2	1	no	—
742	C₂×C₄×C₅	—	2	1	no	—
743	C₂×C₄×C₅	—	2	1	no	—
744	C₂×C₄×C₅	—	2	1	no	—
745	C₂×C₄×C₅	—	2	1	no	—
746	C₂×C₄×C₅	—	2	1	no	—
747	C₂×C₄×C₅	—	2	1	no	—
748	C₂×C₄×C₅	—	2	1	no	—
749	C₂×C₄×C₅	—	2	1	no	—
750	C₂×C₄×C₅	—	2	1	no	—
751	C₂×C₄×C₅	—	2	1	no	—
752	C₂×C₄×C₅	—	2	1	no	—
753	C₂×C₄×C₅	—	2	1	no	—
754	C₂×C₄×C₅	—	2	1	no	—
755	C₂×C₄×C₅	—	2	1	no	—
756	C₂×C₄×C₅	—	2	1	no	—
757	C₂×C₄×C₅	—	2	1	no	—
758	C₂×C₄×C₅	—	2	1	no	—
759	C₂×C₄×C₅	—	2	1	no	—
760	C₂×C₄×C₅	—	2	1	no	—
761	C₂×C₄×C₅	—	2	1	no	—
762	C₂×C₄×C₅	—	2	1	no	—
763	C₂×C₄×C₅	—	2	1	no	—
764	C₂×C₄×C₅	—	2	1	no	—
765	C₂×C₄×C₅	—	2	1	no	—
766	C₂×C₄×C₅	—	2	1	no	—
767	C₂×C₄×C₅	—	2	1	no	—
768	C₂×C₄×C₅	—	2	1	no	—
769	C₂×C₄×C₅	—	2	1	no	—
770	C₂×C₄×C₅	—	2	1	no	—
771	C₂×C₄×C₅	—	2	1	no	—
772	C₂×C₄×C₅	—	2	1	no	—
773	C₂×C₄×C₅	—	2	1	no	—
774	C₂×C₄×C₅	—	2	1	no	—
775	C₂×C₄×C₅	—	2	1	no	—
776	C₂×C₄×C₅	—	2	1	no	—
777	C₂×C₄×C₅	—	2	1	no	—
778	C₂×C₄×C₅	—	2	1	no	—
779	C₂×C₄×C₅	—	2	1	no	—
780	C₂×C₄×C₅	—	2	1	no	—
781	C₂×C₄×C₅	—	2	1	no	—
782	C₂×C₄×C₅	—	2	1	no	—
783	C₂×C₄×C₅	—	2	1	no	—
784	C₂×C₄×C₅	—	2	1	no	—
785	C₂×C₄×C₅	—	2	1	no	—
786	C₂×C₄×C₅	—	2	1	no	—
787	C₂×C₄×C₅	—	2	1	no	—
788	C₂×C₄×C₅	—	2	1	no	—
789	C₂×C₄×C₅	—	2	1	no	—
790	C₂×C₄×C₅	—	2	1	no	—
791	C₂×C₄×C₅	—	2	1	no	—
792	C₂×C₄×C₅	—	2	1	no	—
793	C₂×C₄×C₅	—	2	1	no	—
794	C₂×C₄×C₅	—	2	1	no	—
795	C₂×C₄×C₅	—	2	1	no	—
796	C₂×C₄×C₅	—	2	1	no	—
797	C₂×C₄×C₅	—	2	1	no	—
798	C₂×C₄×C₅	—	4	4	no	—
799	C₂×C₄×C₅	—	4	4	no	—
800	C₂×C₄×C₅	—	4	4	no	—
801	C₂×C₄×C₅	—	4	4	no	—
802	C₂×C₄×C₅	—	8	2	no	—
803	C₂×C₄×C₅	—	8	2	no	—
804	C₂×C₄×C₅	—	8	2	no	—
805	C₂×C₄×C₅	—	8	2	no	—
806	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
807	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
808	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
809	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
810	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
811	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
812	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
813	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
814	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
815	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
816	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
817	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
818	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
819	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
820	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
821	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
822	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
823	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
824	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
825	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
826	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
827	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
828	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
829	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
830	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
831	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
832	#126	C₂×C₄×C₅	1	8	yes	complemented
833	#126	C₂×C₄×C₅	1	8	yes	complemented
834	#125	C₂×C₄×C₅	1	8	yes	complemented
835	#125	C₂×C₄×C₅	1	8	yes	complemented
836	#125	C₂×C₄×C₅	1	8	yes	complemented
837	#123	C₂×C₄×C₅	1	8	yes	—
838	#123	C₂×C₄×C₅	1	8	yes	—
839	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
840	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
841	C₄×Q₈	C₂×C₄×C₅	1	8	yes	complemented
842	C₄×D₄	—	4	2	no	—
843	C₄×D₄	—	4	2	no	—
844	C₄×D₄	C₂×C₄×C₅	1	8	yes	—
845	#117	—	4	2	no	—
846	#117	—	4	2	no	—
847	#117	C₂×C₄×C₅	1	8	yes	complemented
848	#117	C₂×C₄×C₅	1	8	yes	complemented
849	#117	C₂×C₄×C₅	1	8	yes	complemented
850	C₂×C₄⋊C₄	—	4	2	no	—
851	C₂×C₄⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
852	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
902	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
908	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
914	C₂×C₄²	—	4	2	no	—
915	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
916	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
917	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
918	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
919	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
920	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
921	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
922	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
923	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
924	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
925	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
926	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
927	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
928	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
929	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
930	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
932	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
933	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
934	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
935	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
936	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
937	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
938	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
939	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
940	#95	C₂³×C₅	1	1	yes	characteristic
941	#95	C₂³×C₅	1	1	yes	characteristic
942	#95	C₂³×C₅	1	1	yes	characteristic
943	#95	C₂³×C₅	1	1	yes	characteristic
944	#95	C₂³×C₅	1	1	yes	characteristic
945	#95	C₂³×C₅	1	1	yes	characteristic
946	#95	C₂³×C₅	1	1	yes	characteristic
947	#95	C₂³×C₅	1	1	yes	characteristic
948	#95	C₂³×C₅	1	1	yes	characteristic
949	#95	C₂³×C₅	1	1	yes	characteristic
950	#95	C₂³×C₅	1	1	yes	characteristic
951	#95	C₂³×C₅	1	1	yes	characteristic
952	#95	C₂³×C₅	1	1	yes	characteristic
953	#95	C₂³×C₅	1	1	yes	characteristic
954	#95	C₂³×C₅	1	1	yes	characteristic
955	#95	C₂³×C₅	1	1	yes	characteristic
956	#95	C₂³×C₅	1	1	yes	characteristic
957	#95	C₂³×C₅	1	1	yes	characteristic
958	#95	C₂³×C₅	1	1	yes	characteristic
959	#95	C₂³×C₅	1	1	yes	characteristic
960	#95	C₂³×C₅	1	1	yes	characteristic
961	#95	C₂³×C₅	1	1	yes	characteristic
962	#95	C₂³×C₅	1	1	yes	characteristic
963	#95	C₂³×C₅	1	1	yes	characteristic
964	#95	C₂³×C₅	1	1	yes	characteristic
965	#95	C₂³×C₅	1	1	yes	characteristic
966	#95	C₂³×C₅	1	1	yes	characteristic
967	#95	C₂³×C₅	1	1	yes	characteristic
968	#95	C₂³×C₅	1	1	yes	characteristic
969	#95	C₂³×C₅	1	1	yes	characteristic
970	#95	C₂³×C₅	1	1	yes	characteristic
971	#95	C₂³×C₅	1	1	yes	characteristic
972	#95	C₂³×C₅	1	1	yes	characteristic
973	#95	C₂³×C₅	1	1	yes	characteristic
974	#95	C₂³×C₅	1	1	yes	characteristic
975	#95	C₂³×C₅	1	1	yes	characteristic
976	#95	C₂³×C₅	1	1	yes	characteristic
977	#95	C₂³×C₅	1	1	yes	characteristic
978	#95	C₂³×C₅	1	1	yes	characteristic
979	#95	C₂³×C₅	1	1	yes	characteristic
980	#95	C₂³×C₅	1	1	yes	characteristic
981	#95	C₂³×C₅	1	1	yes	characteristic
982	#95	C₂³×C₅	1	1	yes	characteristic
983	#95	C₂³×C₅	1	1	yes	characteristic
984	#95	C₂³×C₅	1	1	yes	characteristic
985	#95	C₂³×C₅	1	1	yes	characteristic
986	#95	C₂³×C₅	1	1	yes	characteristic
987	#95	C₂³×C₅	1	1	yes	characteristic
988	#95	C₂³×C₅	1	1	yes	characteristic
989	#95	C₂³×C₅	1	1	yes	characteristic
990	#95	C₂³×C₅	1	1	yes	characteristic
991	#95	C₂³×C₅	1	1	yes	characteristic
992	#95	C₂³×C₅	1	1	yes	characteristic
993	#95	C₂³×C₅	1	1	yes	characteristic
994	#95	C₂³×C₅	1	1	yes	characteristic
995	#95	C₂³×C₅	1	1	yes	characteristic
996	C₂²×C₅	—	2	2	no	—
997	C₂²×C₅	—	2	2	no	—
998	C₂²×C₅	—	2	2	no	—
999	C₂²×C₅	—	2	2	no	—
1000	C₂²×C₅	—	2	2	no	—
1001	C₂²×C₅	—	2	2	no	—
1002	C₂²×C₅	—	2	2	no	—
1003	C₂²×C₅	—	2	2	no	—
1004	C₂²×C₅	—	2	2	no	—
1005	C₂²×C₅	—	4	1	no	—
1006	C₂²×C₅	—	4	1	no	—
1007	C₂²×C₅	—	4	1	no	—
1008	C₂²×C₅	—	4	1	no	—
1009	C₂²×C₅	#520	1	4	yes	—
1010	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1011	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1012	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1013	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1014	C₂²×C₅	#585	1	1	yes	characteristic
1015	C₂²×C₅	#585	1	1	yes	characteristic
1016	C₂²×C₅	#585	1	1	yes	characteristic
1017	C₄×C₅	—	2	2	no	—
1018	C₄×C₅	—	2	2	no	—
1019	C₄×C₅	—	2	2	no	—
1020	C₄×C₅	—	2	2	no	—
1021	C₄×C₅	—	2	2	no	—
1022	C₄×C₅	—	2	2	no	—
1023	C₄×C₅	—	2	2	no	—
1024	C₄×C₅	—	2	2	no	—
1025	C₄×C₅	—	2	2	no	—
1026	C₄×C₅	—	2	2	no	—
1027	C₄×C₅	—	2	2	no	—
1028	C₄×C₅	—	2	2	no	—
1029	C₄×C₅	—	2	2	no	—
1030	C₄×C₅	—	2	2	no	—
1031	C₄×C₅	—	4	1	no	—
1032	C₄×C₅	—	4	1	no	—
1033	C₄×C₅	—	4	1	no	—
1034	C₄×C₅	—	4	1	no	—
1035	C₄×C₅	—	4	1	no	—
1036	C₄×C₅	—	4	1	no	—
1037	C₄×C₅	—	4	1	no	—
1038	C₄×C₅	—	4	1	no	—
1039	C₄×C₅	—	4	1	no	—
1040	C₄×C₅	—	4	1	no	—
1041	C₄×C₅	—	4	1	no	—
1042	C₄×C₅	—	4	1	no	—
1043	C₄×C₅	—	4	1	no	—
1044	C₄×C₅	—	4	1	no	—
1045	C₄×C₅	—	4	1	no	—
1046	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1047	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
1048	C₂×Q₈	—	4	1	no	—
1049	C₂×Q₈	—	4	1	no	—
1050	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
1051	C₂×D₄	—	2	2	no	—
1052	C₂×D₄	—	2	2	no	—
1053	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
1054	C₂²×C₄	—	2	2	no	—
1055	C₂²×C₄	—	2	2	no	—
1056	C₂²×C₄	—	2	2	no	—
1057	C₂²×C₄	—	2	2	no	—
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	4	1	no	—
1065	C₂²×C₄	—	4	1	no	—
1066	C₂²×C₄	—	4	1	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	4	1	no	—
1073	C₂²×C₄	—	4	1	no	—
1074	C₂²×C₄	—	4	1	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	4	1	no	—
1078	C₂²×C₄	—	4	1	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1081	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1082	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1083	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
1084	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1085	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1088	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1089	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1090	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1093	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1096	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1101	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1106	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1113	C₄⋊C₄	—	2	2	no	—
1114	C₄⋊C₄	—	2	2	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₄⋊C₄	—	4	1	no	—
1139	C₄⋊C₄	—	4	1	no	—
1140	C₄⋊C₄	—	4	1	no	—
1141	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1142	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1143	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1144	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1145	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1146	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1147	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1148	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1149	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1150	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1151	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1152	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1153	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1154	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1155	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1156	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
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	—	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	C₂²×C₄×C₅	1	4	yes	—
1168	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1169	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1170	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1171	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1172	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1173	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1174	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1175	C₄²	—	2	2	no	—
1176	C₄²	—	4	1	no	—
1177	C₄²	—	4	1	no	—
1178	C₄²	—	4	1	no	—
1179	C₄²	—	4	1	no	—
1180	C₄²	—	4	1	no	—
1181	C₄²	—	4	1	no	—
1182	C₄²	—	4	1	no	—
1183	C₄²	—	4	1	no	—
1184	C₄²	—	4	1	no	—
1185	C₄²	—	4	1	no	—
1186	C₄²	—	4	1	no	—
1187	C₄²	—	4	1	no	—
1188	C₄²	—	4	1	no	—
1189	C₄²	—	4	1	no	—
1190	C₄²	—	4	1	no	—
1191	C₄²	—	4	1	no	—
1192	C₄²	—	4	1	no	—
1193	C₄²	—	4	1	no	—
1194	C₄²	—	4	1	no	—
1195	C₄²	C₂²×C₄×C₅	1	4	yes	—
1196	C₄²	C₂²×C₄×C₅	1	4	yes	—
1197	C₄²	C₂²×C₄×C₅	1	4	yes	—
1198	C₄²	C₂²×C₄×C₅	1	4	yes	—
1199	C₄²	C₂²×C₄×C₅	1	4	yes	—
1200	C₂×C₅	—	2	4	no	—
1201	C₂×C₅	—	4	2	no	—
1202	C₂×C₅	C₂×#520	1	1	yes	characteristic
1203	C₂×C₅	#3428	1	1	yes	characteristic
1204	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1205	C₂×C₅	#3533	1	1	yes	characteristic
1206	C₂×C₅	#3535	1	1	yes	characteristic
1207	C₂×C₅	#3563	1	1	yes	characteristic
1208	C₂×C₅	#3564	1	1	yes	characteristic
1209	C₂³	—	2	1	no	—
1210	C₂³	—	2	1	no	—
1211	C₂³	—	2	1	no	—
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	C₂³×C₄×C₅	1	2	yes	—
1220	C₂³	C₂³×C₄×C₅	1	2	yes	—
1221	C₂³	C₅×H(5,𝔽₂)	1	2	yes	—
1222	C₂³	C₅×2₋¹⁺⁴	1	2	yes	—
1223	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1224	Q₈	—	4	4	no	—
1225	D₄	—	2	8	no	—
1226	C₂×C₄	—	2	8	no	—
1227	C₂×C₄	—	2	8	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	4	4	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	4	4	no	—
1304	C₂×C₄	—	4	4	no	—
1305	C₂×C₄	—	8	2	no	—
1306	C₂×C₄	—	8	2	no	—
1307	C₂×C₄	—	8	2	no	—
1308	C₂×C₄	—	8	2	no	—
1309	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1310	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1311	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1312	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1313	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1314	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1315	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1316	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1317	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1318	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1319	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1320	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1321	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1322	C₂×C₄	C₅×2₋¹⁺⁴	1	2	yes	—
1323	C₅	#34459	1	1	yes	characteristic, direct product factor, Sylow
1324	C₂²	—	2	2	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	2	no	—
1327	C₂²	—	2	2	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	2	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	1	no	—
1336	C₂²	—	4	1	no	—
1337	C₂²	C₅×#520	1	4	yes	—
1338	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1339	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1340	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1341	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1342	C₂²	C₅×#585	1	1	yes	characteristic
1343	C₂²	C₅×#585	1	1	yes	characteristic
1344	C₂²	C₅×#585	1	1	yes	characteristic
1345	C₄	—	2	2	no	—
1346	C₄	—	2	2	no	—
1347	C₄	—	2	2	no	—
1348	C₄	—	2	2	no	—
1349	C₄	—	2	2	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	2	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	2	no	—
1356	C₄	—	2	2	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	2	2	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₂	—	2	4	no	—
1375	C₂	—	4	2	no	—
1376	C₂	C₂×C₅×#520	1	1	yes	characteristic
1377	C₂	C₅×#3428	1	1	yes	characteristic
1378	C₂	C₄×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1379	C₂	C₅×#3533	1	1	yes	characteristic
1380	C₂	C₅×#3535	1	1	yes	characteristic
1381	C₂	C₅×#3563	1	1	yes	characteristic
1382	C₂	C₅×#3564	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₅
Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₂²×C₅×D₄	C₂³
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×#2383	C₂	semidirect
3. C₅×#2382	C₂	semidirect
4. C₅×#2382	C₂	semidirect
5. C₅×#2378	C₂	semidirect
6. C₅×#2373	C₂	semidirect
7. C₅×#2370	C₂	semidirect
8. C₅×#2368	C₂	semidirect
11. C₅×#2355	C₂	semidirect
13. C₅×#2344	C₂	semidirect
14. C₅×#2343	C₂	semidirect
15. C₅×#2343	C₂	semidirect
16. C₅×#2343	C₂	semidirect
17. C₅×#2336	C₂	semidirect
18. C₅×#2336	C₂	semidirect
19. C₅×#2334	C₂	semidirect
20. C₅×#2334	C₂	semidirect
21. C₅×#2330	C₂	semidirect
22. C₅×#2329	C₂	semidirect
23. C₅×#2329	C₂	semidirect
25. C₅×#2320	C₂	semidirect
27. C₅×#2317	C₂	semidirect
28. C₅×#2314	C₂	semidirect
30. C₅×#2296	C₂	semidirect
31. C₂×C₅×#387	C₂	semidirect
32. C₅×#552	C₄	semidirect
188. #34459	C₅	direct (N × H)
201. C₅×#126	C₂×C₄	semidirect
202. C₅×#126	C₂×C₄	semidirect
203. C₅×#125	C₂×C₄	semidirect
204. C₅×#125	C₂×C₄	semidirect
205. C₅×#125	C₂×C₄	semidirect
208. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
209. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
210. C₄×C₅×Q₈	C₂×C₄	semidirect
216. C₅×#117	C₂×C₄	semidirect
217. C₅×#117	C₂×C₄	semidirect
218. C₅×#117	C₂×C₄	semidirect
220. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
366. #2383	C₂×C₅	semidirect
367. #2382	C₂×C₅	semidirect
368. #2382	C₂×C₅	semidirect
369. #2378	C₂×C₅	semidirect
370. #2373	C₂×C₅	semidirect
371. #2370	C₂×C₅	semidirect
372. #2368	C₂×C₅	semidirect
375. #2355	C₂×C₅	semidirect
377. #2344	C₂×C₅	semidirect
378. #2343	C₂×C₅	semidirect
379. #2343	C₂×C₅	semidirect
380. #2343	C₂×C₅	semidirect
381. #2336	C₂×C₅	semidirect
382. #2336	C₂×C₅	semidirect
383. #2334	C₂×C₅	semidirect
384. #2334	C₂×C₅	semidirect
385. #2330	C₂×C₅	semidirect
386. #2329	C₂×C₅	semidirect
387. #2329	C₂×C₅	semidirect
389. #2320	C₂×C₅	semidirect
391. #2317	C₂×C₅	semidirect
392. #2314	C₂×C₅	semidirect
394. #2296	C₂×C₅	semidirect
395. C₂×#387	C₂×C₅	semidirect
550. #552	C₄×C₅	semidirect
832. #126	C₂×C₄×C₅	semidirect
833. #126	C₂×C₄×C₅	semidirect
834. #125	C₂×C₄×C₅	semidirect
835. #125	C₂×C₄×C₅	semidirect
836. #125	C₂×C₄×C₅	semidirect
839. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
840. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
841. C₄×Q₈	C₂×C₄×C₅	semidirect
847. #117	C₂×C₄×C₅	semidirect
848. #117	C₂×C₄×C₅	semidirect
849. #117	C₂×C₄×C₅	semidirect
851. C₂×C₄⋊C₄	C₂×C₄×C₅	semidirect
1323. C₅	#34459	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×#552	2
C₅×#2383	2
C₅×#2382	2
C₅×#2378	2
C₅×#2373	2
C₅×#2370	2
C₅×#2368	2
C₅×#2359	2
C₅×#2355	2
C₅×#2349	2
C₅×#2344	2
C₅×#2343	2
C₅×#2336	2
C₅×#2334	2
C₅×#2330	2
C₅×#2329	2
C₅×#2322	2
C₅×#2320	2
C₅×#2318	2
C₅×#2317	2
C₅×#2314	2
C₄×C₅×#123	2
C₅×#2296	2
C₂×C₅×#387	2
#34459	5

Subgroups — C5×#34459 #11957179

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34459 #11957179