Subgroups — C₅×#35080 #11957800

Order 1280.

2154 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2857	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2848	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2847	C₂	1	1	yes	maximal, characteristic
5	C₅×#2653	C₂	1	2	yes	maximal, complemented
6	C₅×#2649	C₂	1	2	yes	maximal, complemented
7	C₅×#2510	C₂	1	2	yes	maximal, complemented
8	C₅×#2495	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2494	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2492	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2491	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2472	C₂	1	2	yes	maximal, complemented
13	C₅×#2450	C₂	1	2	yes	maximal, complemented
14	C₅×#2427	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2426	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2423	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#2422	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2418	C₂	1	2	yes	maximal, complemented
19	C₅×#2337	C₂	1	2	yes	maximal, complemented
20	C₅×#2335	C₂	1	2	yes	maximal, complemented
21	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic
25	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₅×#124	C₂²	1	2	yes	—
27	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₅×#123	C₂²	1	2	yes	—
29	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
31	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
32	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₅×#121	C₂²	1	1	yes	characteristic
34	C₂×C₅×#121	C₂²	1	1	yes	characteristic
35	C₂×C₅×#121	C₂²	1	1	yes	characteristic
36	C₂×C₅×#120	C₂²	1	2	yes	—
37	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
39	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
41	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
43	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
44	C₅×#401	C₂²	1	2	yes	complemented
45	C₅×#400	C₂²	1	2	yes	complemented
46	C₅×#400	C₂²	1	2	yes	complemented
47	C₅×#399	C₂²	1	2	yes	—
48	C₅×#398	C₂²	1	2	yes	complemented
49	C₅×#397	C₂²	1	2	yes	—
50	C₅×#397	C₂²	1	2	yes	—
51	C₅×#397	C₂²	1	2	yes	complemented
52	C₅×#397	C₂²	1	2	yes	complemented
53	C₅×#396	C₂²	1	2	yes	complemented
54	C₅×#394	C₂²	1	2	yes	—
55	C₅×#394	C₂²	1	2	yes	—
56	C₅×#394	C₂²	1	2	yes	—
57	C₅×#394	C₂²	1	2	yes	—
58	C₅×#393	C₂²	1	2	yes	—
59	C₅×#393	C₂²	1	2	yes	complemented
60	C₅×#391	C₂²	1	1	yes	characteristic, complemented
61	C₅×#391	C₂²	1	2	yes	complemented
62	C₅×#391	C₂²	1	1	yes	characteristic, complemented
63	C₅×#391	C₂²	1	2	yes	complemented
64	C₅×#390	C₂²	1	2	yes	—
65	C₅×#390	C₂²	1	1	yes	characteristic, complemented
66	C₅×#390	C₂²	1	1	yes	characteristic, complemented
67	C₅×#389	C₂²	1	1	yes	characteristic, complemented
68	C₅×#389	C₂²	1	1	yes	characteristic, complemented
69	C₅×#389	C₂²	1	1	yes	characteristic, complemented
70	C₅×#389	C₂²	1	1	yes	characteristic, complemented
71	C₅×#389	C₂²	1	2	yes	complemented
72	C₅×#388	C₂²	1	2	yes	—
73	C₅×#388	C₂²	1	2	yes	—
74	C₅×#388	C₂²	1	2	yes	—
75	C₅×#388	C₂²	1	2	yes	—
76	C₅×#388	C₂²	1	2	yes	complemented
77	C₅×#388	C₂²	1	2	yes	complemented
78	C₅×#388	C₂²	1	2	yes	complemented
79	C₅×#388	C₂²	1	2	yes	complemented
80	C₅×#388	C₂²	1	2	yes	complemented
81	C₅×#387	C₂²	1	2	yes	complemented
82	C₅×#387	C₂²	1	2	yes	complemented
83	C₅×#387	C₂²	1	2	yes	complemented
84	C₅×#386	C₂²	1	2	yes	—
85	C₅×#386	C₂²	1	2	yes	—
86	C₅×#386	C₂²	1	2	yes	—
87	C₅×#386	C₂²	1	2	yes	—
88	C₅×#386	C₂²	1	2	yes	—
89	C₅×#386	C₂²	1	2	yes	—
90	C₅×#386	C₂²	1	2	yes	—
91	C₅×#385	C₂²	1	2	yes	—
92	C₅×#385	C₂²	1	2	yes	—
93	C₅×#385	C₂²	1	2	yes	—
94	C₅×#385	C₂²	1	2	yes	—
95	C₅×#385	C₂²	1	2	yes	complemented
96	C₅×#384	C₂²	1	1	yes	characteristic, complemented
97	C₅×#383	C₂²	1	2	yes	complemented
98	C₅×#382	C₂²	1	1	yes	characteristic, complemented
99	C₅×#380	C₂²	1	1	yes	characteristic
100	C₅×#380	C₂²	1	1	yes	characteristic
101	C₅×#380	C₂²	1	1	yes	characteristic
102	C₅×#380	C₂²	1	1	yes	characteristic
103	C₅×#380	C₂²	1	2	yes	—
104	C₅×#380	C₂²	1	1	yes	characteristic
105	C₅×#380	C₂²	1	1	yes	characteristic
106	C₅×#380	C₂²	1	2	yes	complemented
107	C₅×#379	C₂²	1	2	yes	—
108	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₅×C₄⋊C₄	C₂²	1	2	yes	complemented
111	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
112	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
120	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₂×C₅×#95	C₂²	1	1	yes	characteristic
122	C₂×C₅×#95	C₂²	1	1	yes	characteristic
123	#35080	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
124	C₂⁵×C₅	C₂³	1	1	yes	characteristic
125	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
126	C₂²×C₅×Q₈	C₂³	1	2	yes	—
127	C₂²×C₅×D₄	C₂³	1	2	yes	—
128	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
129	C₂²×C₅×D₄	C₂³	1	2	yes	—
130	C₂²×C₅×D₄	C₂³	1	2	yes	—
131	C₂³×C₄×C₅	—	2	4	no	—
132	C₂³×C₄×C₅	—	4	2	no	—
133	C₂³×C₄×C₅	—	4	2	no	—
134	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₅	C₂³	1	2	yes	—
145	C₅×C₄⋊Q₈	—	4	2	no	—
146	C₅×#124	—	2	8	no	—
147	C₅×#124	—	4	2	no	—
148	C₅×#123	—	2	8	no	—
149	C₅×C₂²⋊Q₈	—	2	4	no	—
150	C₅×C₂²⋊Q₈	—	4	4	no	—
151	C₅×C₂²⋊Q₈	—	4	2	no	—
152	C₅×C₂²⋊Q₈	—	4	2	no	—
153	C₅×#121	—	2	4	no	—
154	C₅×#121	—	4	2	no	—
155	C₅×#121	—	4	2	no	—
156	C₅×#120	—	4	4	no	—
157	C₄×C₅×Q₈	—	4	2	no	—
158	C₄×C₅×D₄	—	4	2	no	—
159	C₄×C₅×D₄	—	4	4	no	—
160	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
162	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
174	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
175	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
178	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
179	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₅	—	4	2	no	—
207	C₂×C₄²×C₅	—	4	2	no	—
208	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₅	C₂³	1	2	yes	—
213	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₅	C₂³	1	2	yes	—
218	C₂×C₄²×C₅	C₂³	1	2	yes	—
219	C₅×#95	C₂³	1	1	yes	characteristic
220	C₅×#95	C₂³	1	1	yes	characteristic
221	C₅×#95	C₂³	1	1	yes	characteristic
222	C₅×#95	C₂³	1	1	yes	characteristic
223	C₅×#95	C₂³	1	1	yes	characteristic
224	C₅×#95	C₂³	1	1	yes	characteristic
225	C₅×#95	C₂³	1	1	yes	characteristic
226	C₅×#95	C₂³	1	1	yes	characteristic
227	C₅×#95	C₂³	1	2	yes	—
228	C₅×#95	C₂³	1	2	yes	—
229	C₅×#95	C₂³	1	2	yes	—
230	C₅×#95	C₂³	1	2	yes	—
231	C₅×#95	C₂³	1	2	yes	—
232	C₅×#95	C₂³	1	2	yes	—
233	C₅×#95	C₂³	1	2	yes	—
234	C₅×#95	C₂³	1	2	yes	—
235	C₅×#95	C₂³	1	2	yes	—
236	C₅×#95	C₂³	1	2	yes	—
237	C₅×#95	C₂³	1	2	yes	—
238	C₅×#95	C₂³	1	2	yes	—
239	C₅×#95	C₂³	1	2	yes	—
240	C₅×#95	C₂³	1	2	yes	—
241	C₅×#95	C₂³	1	2	yes	—
242	C₅×#95	C₂³	1	2	yes	—
243	C₅×#95	C₂³	1	2	yes	—
244	C₅×#95	C₂³	1	2	yes	—
245	#2857	C₂×C₅	1	1	yes	characteristic, complemented
246	#2850	C₂×C₅	1	1	yes	characteristic, complemented
247	#2848	C₂×C₅	1	1	yes	characteristic, complemented
248	#2847	C₂×C₅	1	1	yes	characteristic
249	#2653	C₂×C₅	1	2	yes	complemented
250	#2649	C₂×C₅	1	2	yes	complemented
251	#2510	C₂×C₅	1	2	yes	complemented
252	#2495	C₂×C₅	1	1	yes	characteristic, complemented
253	#2494	C₂×C₅	1	1	yes	characteristic, complemented
254	#2492	C₂×C₅	1	1	yes	characteristic, complemented
255	#2491	C₂×C₅	1	1	yes	characteristic, complemented
256	#2472	C₂×C₅	1	2	yes	complemented
257	#2450	C₂×C₅	1	2	yes	complemented
258	#2427	C₂×C₅	1	1	yes	characteristic, complemented
259	#2426	C₂×C₅	1	1	yes	characteristic, complemented
260	#2423	C₂×C₅	1	1	yes	characteristic, complemented
261	#2422	C₂×C₅	1	1	yes	characteristic, complemented
262	#2418	C₂×C₅	1	2	yes	complemented
263	#2337	C₂×C₅	1	2	yes	complemented
264	#2335	C₂×C₅	1	2	yes	complemented
265	C₄×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
266	C₄×#121	C₂×C₅	1	1	yes	characteristic, complemented
267	C₂×C₄×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
268	C₂⁴×C₅	—	2	2	no	—
269	C₂⁴×C₅	—	2	2	no	—
270	C₂⁴×C₅	—	2	2	no	—
271	C₂⁴×C₅	—	2	2	no	—
272	C₂⁴×C₅	—	2	2	no	—
273	C₂⁴×C₅	—	4	1	no	—
274	C₂⁴×C₅	—	4	1	no	—
275	C₂⁴×C₅	C₂⁴	1	2	yes	—
276	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
277	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
278	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
279	C₂×C₅×Q₈	—	2	2	no	—
280	C₂×C₅×Q₈	—	2	4	no	—
281	C₂×C₅×Q₈	—	2	2	no	—
282	C₂×C₅×Q₈	—	2	2	no	—
283	C₂×C₅×Q₈	—	4	2	no	—
284	C₂×C₅×Q₈	—	4	2	no	—
285	C₂×C₅×D₄	—	2	4	no	—
286	C₂×C₅×D₄	—	2	4	no	—
287	C₂×C₅×D₄	—	2	4	no	—
288	C₂×C₅×D₄	—	2	4	no	—
289	C₂×C₅×D₄	—	2	4	no	—
290	C₂×C₅×D₄	—	2	2	no	—
291	C₂×C₅×D₄	—	2	2	no	—
292	C₂×C₅×D₄	—	2	2	no	—
293	C₂×C₅×D₄	—	4	2	no	—
294	C₂×C₅×D₄	—	4	2	no	—
295	C₂×C₅×D₄	—	4	2	no	—
296	C₂×C₅×D₄	—	4	2	no	—
297	C₂²×C₄×C₅	—	2	2	no	—
298	C₂²×C₄×C₅	—	2	2	no	—
299	C₂²×C₄×C₅	—	2	2	no	—
300	C₂²×C₄×C₅	—	2	2	no	—
301	C₂²×C₄×C₅	—	2	2	no	—
302	C₂²×C₄×C₅	—	2	2	no	—
303	C₂²×C₄×C₅	—	2	2	no	—
304	C₂²×C₄×C₅	—	2	2	no	—
305	C₂²×C₄×C₅	—	2	2	no	—
306	C₂²×C₄×C₅	—	2	2	no	—
307	C₂²×C₄×C₅	—	2	2	no	—
308	C₂²×C₄×C₅	—	2	2	no	—
309	C₂²×C₄×C₅	—	2	2	no	—
310	C₂²×C₄×C₅	—	2	2	no	—
311	C₂²×C₄×C₅	—	2	2	no	—
312	C₂²×C₄×C₅	—	2	2	no	—
313	C₂²×C₄×C₅	—	2	2	no	—
314	C₂²×C₄×C₅	—	2	2	no	—
315	C₂²×C₄×C₅	—	2	2	no	—
316	C₂²×C₄×C₅	—	2	4	no	—
317	C₂²×C₄×C₅	—	4	1	no	—
318	C₂²×C₄×C₅	—	4	1	no	—
319	C₂²×C₄×C₅	—	4	1	no	—
320	C₂²×C₄×C₅	—	4	1	no	—
321	C₂²×C₄×C₅	—	4	1	no	—
322	C₂²×C₄×C₅	—	4	1	no	—
323	C₂²×C₄×C₅	—	4	1	no	—
324	C₂²×C₄×C₅	—	4	1	no	—
325	C₂²×C₄×C₅	—	4	1	no	—
326	C₂²×C₄×C₅	—	4	1	no	—
327	C₂²×C₄×C₅	—	4	2	no	—
328	C₂²×C₄×C₅	—	4	2	no	—
329	C₂²×C₄×C₅	—	4	16	no	—
330	C₂²×C₄×C₅	#41	1	4	yes	—
331	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
350	C₅×C₄⋊C₄	—	2	2	no	—
351	C₅×C₄⋊C₄	—	2	2	no	—
352	C₅×C₄⋊C₄	—	2	4	no	—
353	C₅×C₄⋊C₄	—	2	4	no	—
354	C₅×C₄⋊C₄	—	2	4	no	—
355	C₅×C₄⋊C₄	—	2	2	no	—
356	C₅×C₄⋊C₄	—	2	2	no	—
357	C₅×C₄⋊C₄	—	2	2	no	—
358	C₅×C₄⋊C₄	—	2	2	no	—
359	C₅×C₄⋊C₄	—	4	2	no	—
360	C₅×C₄⋊C₄	—	4	2	no	—
361	C₅×C₄⋊C₄	—	4	2	no	—
362	C₅×C₄⋊C₄	—	4	2	no	—
363	C₅×C₄⋊C₄	—	4	2	no	—
364	C₅×C₄⋊C₄	—	4	2	no	—
365	C₅×C₄⋊C₄	—	4	2	no	—
366	C₅×C₄⋊C₄	—	4	2	no	—
367	C₅×C₂²⋊C₄	—	2	2	no	—
368	C₅×C₂²⋊C₄	—	2	2	no	—
369	C₅×C₂²⋊C₄	—	2	4	no	—
370	C₅×C₂²⋊C₄	—	2	4	no	—
371	C₅×C₂²⋊C₄	—	2	4	no	—
372	C₅×C₂²⋊C₄	—	2	4	no	—
373	C₅×C₂²⋊C₄	—	2	4	no	—
374	C₅×C₂²⋊C₄	—	2	2	no	—
375	C₅×C₂²⋊C₄	—	2	2	no	—
376	C₅×C₂²⋊C₄	—	2	2	no	—
377	C₅×C₂²⋊C₄	—	2	2	no	—
378	C₅×C₂²⋊C₄	—	2	4	no	—
379	C₅×C₂²⋊C₄	—	2	4	no	—
380	C₅×C₂²⋊C₄	—	2	4	no	—
381	C₅×C₂²⋊C₄	—	2	4	no	—
382	C₅×C₂²⋊C₄	—	4	2	no	—
383	C₅×C₂²⋊C₄	—	4	2	no	—
384	C₅×C₂²⋊C₄	—	4	2	no	—
385	C₅×C₂²⋊C₄	—	4	2	no	—
386	C₅×C₂²⋊C₄	—	4	2	no	—
387	C₅×C₂²⋊C₄	—	4	2	no	—
388	C₅×C₂²⋊C₄	—	4	2	no	—
389	C₅×C₂²⋊C₄	—	4	2	no	—
390	C₅×C₂²⋊C₄	—	4	2	no	—
391	C₅×C₂²⋊C₄	—	4	2	no	—
392	C₅×C₂²⋊C₄	#41	1	4	yes	—
393	C₅×C₂²⋊C₄	#41	1	4	yes	—
394	C₄²×C₅	—	2	4	no	—
395	C₄²×C₅	—	2	2	no	—
396	C₄²×C₅	—	2	2	no	—
397	C₄²×C₅	—	2	2	no	—
398	C₄²×C₅	—	2	2	no	—
399	C₄²×C₅	—	4	1	no	—
400	C₄²×C₅	—	4	1	no	—
401	C₄²×C₅	—	4	1	no	—
402	C₄²×C₅	—	4	1	no	—
403	C₄²×C₅	—	4	2	no	—
404	C₄²×C₅	—	4	2	no	—
405	C₂⁴×C₄	C₂²×C₅	1	1	yes	characteristic
406	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
407	C₂×#124	C₂²×C₅	1	2	yes	—
408	C₂×#124	C₂²×C₅	1	1	yes	characteristic, complemented
409	C₂×#123	C₂²×C₅	1	2	yes	—
410	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
411	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
412	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
413	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
414	C₂×#121	C₂²×C₅	1	1	yes	characteristic
415	C₂×#121	C₂²×C₅	1	1	yes	characteristic
416	C₂×#121	C₂²×C₅	1	1	yes	characteristic
417	C₂×#120	C₂²×C₅	1	2	yes	—
418	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
419	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
420	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
421	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
422	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
423	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
424	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
425	#401	C₂²×C₅	1	2	yes	complemented
426	#400	C₂²×C₅	1	2	yes	complemented
427	#400	C₂²×C₅	1	2	yes	complemented
428	#399	C₂²×C₅	1	2	yes	—
429	#398	C₂²×C₅	1	2	yes	complemented
430	#397	C₂²×C₅	1	2	yes	—
431	#397	C₂²×C₅	1	2	yes	—
432	#397	C₂²×C₅	1	2	yes	complemented
433	#397	C₂²×C₅	1	2	yes	complemented
434	#396	C₂²×C₅	1	2	yes	complemented
435	#394	C₂²×C₅	1	2	yes	—
436	#394	C₂²×C₅	1	2	yes	—
437	#394	C₂²×C₅	1	2	yes	—
438	#394	C₂²×C₅	1	2	yes	—
439	#393	C₂²×C₅	1	2	yes	—
440	#393	C₂²×C₅	1	2	yes	complemented
441	#391	C₂²×C₅	1	2	yes	complemented
442	#391	C₂²×C₅	1	2	yes	complemented
443	#391	C₂²×C₅	1	1	yes	characteristic, complemented
444	#391	C₂²×C₅	1	1	yes	characteristic, complemented
445	#390	C₂²×C₅	1	2	yes	—
446	#390	C₂²×C₅	1	1	yes	characteristic, complemented
447	#390	C₂²×C₅	1	1	yes	characteristic, complemented
448	#389	C₂²×C₅	1	2	yes	complemented
449	#389	C₂²×C₅	1	1	yes	characteristic, complemented
450	#389	C₂²×C₅	1	1	yes	characteristic, complemented
451	#389	C₂²×C₅	1	1	yes	characteristic, complemented
452	#389	C₂²×C₅	1	1	yes	characteristic, complemented
453	#388	C₂²×C₅	1	2	yes	—
454	#388	C₂²×C₅	1	2	yes	—
455	#388	C₂²×C₅	1	2	yes	—
456	#388	C₂²×C₅	1	2	yes	—
457	#388	C₂²×C₅	1	2	yes	complemented
458	#388	C₂²×C₅	1	2	yes	complemented
459	#388	C₂²×C₅	1	2	yes	complemented
460	#388	C₂²×C₅	1	2	yes	complemented
461	#388	C₂²×C₅	1	2	yes	complemented
462	#387	C₂²×C₅	1	2	yes	complemented
463	#387	C₂²×C₅	1	2	yes	complemented
464	#387	C₂²×C₅	1	2	yes	complemented
465	#386	C₂²×C₅	1	2	yes	—
466	#386	C₂²×C₅	1	2	yes	—
467	#386	C₂²×C₅	1	2	yes	—
468	#386	C₂²×C₅	1	2	yes	—
469	#386	C₂²×C₅	1	2	yes	—
470	#386	C₂²×C₅	1	2	yes	—
471	#386	C₂²×C₅	1	2	yes	—
472	#385	C₂²×C₅	1	2	yes	—
473	#385	C₂²×C₅	1	2	yes	—
474	#385	C₂²×C₅	1	2	yes	—
475	#385	C₂²×C₅	1	2	yes	—
476	#385	C₂²×C₅	1	2	yes	complemented
477	#384	C₂²×C₅	1	1	yes	characteristic, complemented
478	#383	C₂²×C₅	1	2	yes	complemented
479	#382	C₂²×C₅	1	1	yes	characteristic, complemented
480	#380	C₂²×C₅	1	1	yes	characteristic
481	#380	C₂²×C₅	1	1	yes	characteristic
482	#380	C₂²×C₅	1	1	yes	characteristic
483	#380	C₂²×C₅	1	1	yes	characteristic
484	#380	C₂²×C₅	1	1	yes	characteristic
485	#380	C₂²×C₅	1	1	yes	characteristic
486	#380	C₂²×C₅	1	2	yes	—
487	#380	C₂²×C₅	1	2	yes	complemented
488	#379	C₂²×C₅	1	2	yes	—
489	C₄×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
490	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
491	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
492	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
493	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
494	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
495	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
496	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
497	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
498	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
499	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
500	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
501	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
502	C₂×#95	C₂²×C₅	1	1	yes	characteristic
503	C₂×#95	C₂²×C₅	1	1	yes	characteristic
504	C₂³×C₅	—	2	1	no	—
505	C₂³×C₅	—	2	1	no	—
506	C₂³×C₅	—	2	1	no	—
507	C₂³×C₅	—	2	1	no	—
508	C₂³×C₅	—	2	8	no	—
509	C₂³×C₅	—	2	1	no	—
510	C₂³×C₅	—	2	1	no	—
511	C₂³×C₅	—	2	1	no	—
512	C₂³×C₅	—	2	1	no	—
513	C₂³×C₅	—	2	1	no	—
514	C₂³×C₅	—	2	1	no	—
515	C₂³×C₅	—	2	1	no	—
516	C₂³×C₅	—	2	1	no	—
517	C₂³×C₅	—	2	1	no	—
518	C₂³×C₅	—	2	1	no	—
519	C₂³×C₅	—	2	1	no	—
520	C₂³×C₅	—	2	1	no	—
521	C₂³×C₅	—	2	2	no	—
522	C₂³×C₅	—	2	2	no	—
523	C₂³×C₅	—	2	2	no	—
524	C₂³×C₅	—	2	2	no	—
525	C₂³×C₅	—	2	2	no	—
526	C₂³×C₅	—	2	2	no	—
527	C₂³×C₅	—	2	2	no	—
528	C₂³×C₅	—	4	4	no	—
529	C₂³×C₅	—	4	4	no	—
530	C₂³×C₅	—	4	4	no	—
531	C₂³×C₅	—	4	4	no	—
532	C₂³×C₅	—	4	4	no	—
533	C₂³×C₅	—	4	4	no	—
534	C₂³×C₅	C₂×#41	1	2	yes	—
535	C₂³×C₅	C₂×#41	1	2	yes	—
536	C₂³×C₅	C₂×#41	1	2	yes	—
537	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
538	C₂³×C₅	2₋¹⁺⁴	1	2	yes	—
539	C₂³×C₅	C₂⁵	1	1	yes	characteristic
540	C₅×Q₈	—	4	4	no	—
541	C₅×Q₈	—	8	4	no	—
542	C₅×D₄	—	4	8	no	—
543	C₅×D₄	—	4	4	no	—
544	C₅×D₄	—	8	4	no	—
545	C₅×D₄	—	8	4	no	—
546	C₂×C₄×C₅	—	2	1	no	—
547	C₂×C₄×C₅	—	2	1	no	—
548	C₂×C₄×C₅	—	2	1	no	—
549	C₂×C₄×C₅	—	2	1	no	—
550	C₂×C₄×C₅	—	2	1	no	—
551	C₂×C₄×C₅	—	2	1	no	—
552	C₂×C₄×C₅	—	2	1	no	—
553	C₂×C₄×C₅	—	2	1	no	—
554	C₂×C₄×C₅	—	2	1	no	—
555	C₂×C₄×C₅	—	2	1	no	—
556	C₂×C₄×C₅	—	2	8	no	—
557	C₂×C₄×C₅	—	2	2	no	—
558	C₂×C₄×C₅	—	2	2	no	—
559	C₂×C₄×C₅	—	2	2	no	—
560	C₂×C₄×C₅	—	2	1	no	—
561	C₂×C₄×C₅	—	2	1	no	—
562	C₂×C₄×C₅	—	2	1	no	—
563	C₂×C₄×C₅	—	2	1	no	—
564	C₂×C₄×C₅	—	2	2	no	—
565	C₂×C₄×C₅	—	2	2	no	—
566	C₂×C₄×C₅	—	2	2	no	—
567	C₂×C₄×C₅	—	2	2	no	—
568	C₂×C₄×C₅	—	2	2	no	—
569	C₂×C₄×C₅	—	2	2	no	—
570	C₂×C₄×C₅	—	2	1	no	—
571	C₂×C₄×C₅	—	2	1	no	—
572	C₂×C₄×C₅	—	2	1	no	—
573	C₂×C₄×C₅	—	2	1	no	—
574	C₂×C₄×C₅	—	2	1	no	—
575	C₂×C₄×C₅	—	2	1	no	—
576	C₂×C₄×C₅	—	2	2	no	—
577	C₂×C₄×C₅	—	2	2	no	—
578	C₂×C₄×C₅	—	2	2	no	—
579	C₂×C₄×C₅	—	2	2	no	—
580	C₂×C₄×C₅	—	2	2	no	—
581	C₂×C₄×C₅	—	2	2	no	—
582	C₂×C₄×C₅	—	2	2	no	—
583	C₂×C₄×C₅	—	2	2	no	—
584	C₂×C₄×C₅	—	2	2	no	—
585	C₂×C₄×C₅	—	2	1	no	—
586	C₂×C₄×C₅	—	2	1	no	—
587	C₂×C₄×C₅	—	2	1	no	—
588	C₂×C₄×C₅	—	2	2	no	—
589	C₂×C₄×C₅	—	2	2	no	—
590	C₂×C₄×C₅	—	2	1	no	—
591	C₂×C₄×C₅	—	2	1	no	—
592	C₂×C₄×C₅	—	2	1	no	—
593	C₂×C₄×C₅	—	2	1	no	—
594	C₂×C₄×C₅	—	2	1	no	—
595	C₂×C₄×C₅	—	2	2	no	—
596	C₂×C₄×C₅	—	4	4	no	—
597	C₂×C₄×C₅	—	4	4	no	—
598	C₂×C₄×C₅	—	4	4	no	—
599	C₂×C₄×C₅	—	4	4	no	—
600	C₂×C₄×C₅	—	4	4	no	—
601	C₂×C₄×C₅	—	4	4	no	—
602	C₂×C₄×C₅	—	4	4	no	—
603	C₂×C₄×C₅	—	4	4	no	—
604	C₂×C₄×C₅	—	4	4	no	—
605	C₂×C₄×C₅	—	8	4	no	—
606	C₂×C₄×C₅	C₂×#41	1	2	yes	—
607	C₂×C₄×C₅	C₂×#41	1	2	yes	—
608	C₂×C₄×C₅	C₂×#41	1	2	yes	—
609	C₂×C₄×C₅	C₂×#41	1	2	yes	—
610	C₂×C₄×C₅	C₂×#41	1	2	yes	—
611	C₂×C₄×C₅	C₂×#41	1	2	yes	—
612	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
613	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
614	C₂⁵	C₂³×C₅	1	1	yes	characteristic
615	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
616	C₂²×Q₈	C₂³×C₅	1	2	yes	—
617	C₂²×D₄	C₂³×C₅	1	2	yes	—
618	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
619	C₂²×D₄	C₂³×C₅	1	2	yes	—
620	C₂²×D₄	C₂³×C₅	1	2	yes	—
621	C₂³×C₄	—	2	4	no	—
622	C₂³×C₄	—	4	2	no	—
623	C₂³×C₄	—	4	2	no	—
624	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
625	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
626	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
627	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
628	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
629	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
630	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
631	C₂³×C₄	C₂³×C₅	1	2	yes	—
632	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
633	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
634	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
635	C₄⋊Q₈	—	4	2	no	—
636	#124	—	2	8	no	—
637	#124	—	4	2	no	—
638	#123	—	2	8	no	—
639	C₂²⋊Q₈	—	2	4	no	—
640	C₂²⋊Q₈	—	4	4	no	—
641	C₂²⋊Q₈	—	4	2	no	—
642	C₂²⋊Q₈	—	4	2	no	—
643	#121	—	2	4	no	—
644	#121	—	4	2	no	—
645	#121	—	4	2	no	—
646	#120	—	4	4	no	—
647	C₄×Q₈	—	4	2	no	—
648	C₄×D₄	—	4	2	no	—
649	C₄×D₄	—	4	4	no	—
650	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
657	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
659	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
660	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
662	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
667	C₂×C₂²⋊C₄	—	2	4	no	—
668	C₂×C₂²⋊C₄	—	2	4	no	—
669	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
670	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
671	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
672	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
696	C₂×C₄²	—	4	2	no	—
697	C₂×C₄²	—	4	2	no	—
698	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
699	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
700	C₂×C₄²	C₂³×C₅	1	2	yes	—
701	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
702	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
703	C₂×C₄²	C₂³×C₅	1	2	yes	—
704	C₂×C₄²	C₂³×C₅	1	2	yes	—
705	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
706	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
707	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
708	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
709	#95	C₂³×C₅	1	1	yes	characteristic
710	#95	C₂³×C₅	1	1	yes	characteristic
711	#95	C₂³×C₅	1	1	yes	characteristic
712	#95	C₂³×C₅	1	1	yes	characteristic
713	#95	C₂³×C₅	1	1	yes	characteristic
714	#95	C₂³×C₅	1	1	yes	characteristic
715	#95	C₂³×C₅	1	1	yes	characteristic
716	#95	C₂³×C₅	1	1	yes	characteristic
717	#95	C₂³×C₅	1	2	yes	—
718	#95	C₂³×C₅	1	2	yes	—
719	#95	C₂³×C₅	1	2	yes	—
720	#95	C₂³×C₅	1	2	yes	—
721	#95	C₂³×C₅	1	2	yes	—
722	#95	C₂³×C₅	1	2	yes	—
723	#95	C₂³×C₅	1	2	yes	—
724	#95	C₂³×C₅	1	2	yes	—
725	#95	C₂³×C₅	1	2	yes	—
726	#95	C₂³×C₅	1	2	yes	—
727	#95	C₂³×C₅	1	2	yes	—
728	#95	C₂³×C₅	1	2	yes	—
729	#95	C₂³×C₅	1	2	yes	—
730	#95	C₂³×C₅	1	2	yes	—
731	#95	C₂³×C₅	1	2	yes	—
732	#95	C₂³×C₅	1	2	yes	—
733	#95	C₂³×C₅	1	2	yes	—
734	#95	C₂³×C₅	1	2	yes	—
735	C₂²×C₅	—	2	2	no	—
736	C₂²×C₅	—	2	2	no	—
737	C₂²×C₅	—	2	2	no	—
738	C₂²×C₅	—	2	2	no	—
739	C₂²×C₅	—	2	2	no	—
740	C₂²×C₅	—	2	2	no	—
741	C₂²×C₅	—	2	2	no	—
742	C₂²×C₅	—	2	2	no	—
743	C₂²×C₅	—	2	2	no	—
744	C₂²×C₅	—	2	2	no	—
745	C₂²×C₅	—	2	2	no	—
746	C₂²×C₅	—	2	2	no	—
747	C₂²×C₅	—	4	16	no	—
748	C₂²×C₅	—	4	1	no	—
749	C₂²×C₅	—	4	1	no	—
750	C₂²×C₅	—	4	1	no	—
751	C₂²×C₅	—	4	1	no	—
752	C₂²×C₅	—	4	1	no	—
753	C₂²×C₅	—	4	1	no	—
754	C₂²×C₅	—	4	1	no	—
755	C₂²×C₅	—	4	1	no	—
756	C₂²×C₅	—	4	2	no	—
757	C₂²×C₅	—	4	2	no	—
758	C₂²×C₅	—	4	2	no	—
759	C₂²×C₅	—	4	2	no	—
760	C₂²×C₅	—	4	2	no	—
761	C₂²×C₅	—	4	2	no	—
762	C₂²×C₅	—	4	2	no	—
763	C₂²×C₅	#542	1	4	yes	—
764	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
765	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
766	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
767	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
768	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
769	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
770	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
771	C₄×C₅	—	2	2	no	—
772	C₄×C₅	—	2	2	no	—
773	C₄×C₅	—	2	2	no	—
774	C₄×C₅	—	2	2	no	—
775	C₄×C₅	—	2	2	no	—
776	C₄×C₅	—	4	2	no	—
777	C₄×C₅	—	4	1	no	—
778	C₄×C₅	—	4	1	no	—
779	C₄×C₅	—	4	2	no	—
780	C₄×C₅	—	4	2	no	—
781	C₄×C₅	—	4	1	no	—
782	C₄×C₅	—	4	1	no	—
783	C₄×C₅	—	4	2	no	—
784	C₄×C₅	—	4	2	no	—
785	C₄×C₅	—	4	2	no	—
786	C₄×C₅	—	4	2	no	—
787	C₄×C₅	—	4	1	no	—
788	C₄×C₅	—	4	1	no	—
789	C₄×C₅	#538	1	4	yes	—
790	C₂⁴	—	2	2	no	—
791	C₂⁴	—	2	2	no	—
792	C₂⁴	—	2	2	no	—
793	C₂⁴	—	2	2	no	—
794	C₂⁴	—	2	2	no	—
795	C₂⁴	—	4	1	no	—
796	C₂⁴	—	4	1	no	—
797	C₂⁴	C₂⁴×C₅	1	2	yes	—
798	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
799	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
800	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	4	no	—
803	C₂×Q₈	—	2	2	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	—	4	2	no	—
806	C₂×Q₈	—	4	2	no	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	4	no	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	2	4	no	—
812	C₂×D₄	—	2	2	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	4	2	no	—
816	C₂×D₄	—	4	2	no	—
817	C₂×D₄	—	4	2	no	—
818	C₂×D₄	—	4	2	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	2	no	—
822	C₂²×C₄	—	2	2	no	—
823	C₂²×C₄	—	2	2	no	—
824	C₂²×C₄	—	2	2	no	—
825	C₂²×C₄	—	2	2	no	—
826	C₂²×C₄	—	2	2	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	2	2	no	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	4	no	—
839	C₂²×C₄	—	4	1	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	—	4	1	no	—
847	C₂²×C₄	—	4	1	no	—
848	C₂²×C₄	—	4	1	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	16	no	—
852	C₂²×C₄	C₅×#41	1	4	yes	—
853	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
856	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
859	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
860	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
862	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
865	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
866	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	4	no	—
875	C₄⋊C₄	—	2	4	no	—
876	C₄⋊C₄	—	2	4	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	4	2	no	—
882	C₄⋊C₄	—	4	2	no	—
883	C₄⋊C₄	—	4	2	no	—
884	C₄⋊C₄	—	4	2	no	—
885	C₄⋊C₄	—	4	2	no	—
886	C₄⋊C₄	—	4	2	no	—
887	C₄⋊C₄	—	4	2	no	—
888	C₄⋊C₄	—	4	2	no	—
889	C₂²⋊C₄	—	2	2	no	—
890	C₂²⋊C₄	—	2	2	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	4	no	—
893	C₂²⋊C₄	—	2	4	no	—
894	C₂²⋊C₄	—	2	4	no	—
895	C₂²⋊C₄	—	2	4	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	4	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	4	2	no	—
905	C₂²⋊C₄	—	4	2	no	—
906	C₂²⋊C₄	—	4	2	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	—	4	2	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₂²⋊C₄	—	4	2	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	C₅×#41	1	4	yes	—
915	C₂²⋊C₄	C₅×#41	1	4	yes	—
916	C₄²	—	2	4	no	—
917	C₄²	—	2	2	no	—
918	C₄²	—	2	2	no	—
919	C₄²	—	2	2	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	4	1	no	—
922	C₄²	—	4	1	no	—
923	C₄²	—	4	1	no	—
924	C₄²	—	4	1	no	—
925	C₄²	—	4	2	no	—
926	C₄²	—	4	2	no	—
927	C₂×C₅	—	2	4	no	—
928	C₂×C₅	—	4	2	no	—
929	C₂×C₅	—	4	2	no	—
930	C₂×C₅	—	8	2	no	—
931	C₂×C₅	#3444	1	1	yes	characteristic
932	C₂×C₅	C₂×#538	1	1	yes	characteristic
933	C₂×C₅	C₂×#542	1	1	yes	characteristic
934	C₂×C₅	#3519	1	1	yes	characteristic
935	C₂×C₅	#3519	1	1	yes	characteristic
936	C₂×C₅	#3520	1	1	yes	characteristic
937	C₂×C₅	#3520	1	1	yes	characteristic
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	8	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	1	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	4	4	no	—
963	C₂³	—	4	4	no	—
964	C₂³	—	4	4	no	—
965	C₂³	—	4	4	no	—
966	C₂³	—	4	4	no	—
967	C₂³	—	4	4	no	—
968	C₂³	C₂×C₅×#41	1	2	yes	—
969	C₂³	C₂×C₅×#41	1	2	yes	—
970	C₂³	C₂×C₅×#41	1	2	yes	—
971	C₂³	C₅×H(5,𝔽₂)	1	2	yes	—
972	C₂³	C₅×2₋¹⁺⁴	1	2	yes	—
973	C₂³	C₂⁵×C₅	1	1	yes	characteristic
974	Q₈	—	4	4	no	—
975	Q₈	—	8	4	no	—
976	D₄	—	4	8	no	—
977	D₄	—	4	4	no	—
978	D₄	—	8	4	no	—
979	D₄	—	8	4	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	8	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	4	4	no	—
1031	C₂×C₄	—	4	4	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	4	4	no	—
1036	C₂×C₄	—	4	4	no	—
1037	C₂×C₄	—	4	4	no	—
1038	C₂×C₄	—	4	4	no	—
1039	C₂×C₄	—	8	4	no	—
1040	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1041	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1042	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1043	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1044	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1045	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1046	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1047	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1048	C₅	#35080	1	1	yes	characteristic, direct product factor, Sylow
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	2	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	2	2	no	—
1058	C₂²	—	2	2	no	—
1059	C₂²	—	2	2	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	4	16	no	—
1062	C₂²	—	4	1	no	—
1063	C₂²	—	4	1	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	1	no	—
1067	C₂²	—	4	1	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	2	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	C₅×#542	1	4	yes	—
1078	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1079	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1080	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1081	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1082	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1083	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1084	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	4	2	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	2	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	C₅×#538	1	4	yes	—
1104	C₂	—	2	4	no	—
1105	C₂	—	4	2	no	—
1106	C₂	—	4	2	no	—
1107	C₂	—	8	2	no	—
1108	C₂	C₅×#3444	1	1	yes	characteristic
1109	C₂	C₂×C₅×#538	1	1	yes	characteristic
1110	C₂	C₂×C₅×#542	1	1	yes	characteristic
1111	C₂	C₅×#3519	1	1	yes	characteristic
1112	C₂	C₅×#3519	1	1	yes	characteristic
1113	C₂	C₅×#3520	1	1	yes	characteristic
1114	C₂	C₅×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₅×#2847	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×#2857	C₂	semidirect
2. C₅×#2850	C₂	semidirect
3. C₅×#2848	C₂	semidirect
5. C₅×#2653	C₂	semidirect
6. C₅×#2649	C₂	semidirect
7. C₅×#2510	C₂	semidirect
8. C₅×#2495	C₂	semidirect
9. C₅×#2494	C₂	semidirect
10. C₅×#2492	C₂	semidirect
11. C₅×#2491	C₂	semidirect
12. C₅×#2472	C₂	semidirect
13. C₅×#2450	C₂	semidirect
14. C₅×#2427	C₂	semidirect
15. C₅×#2426	C₂	semidirect
16. C₅×#2423	C₂	semidirect
17. C₅×#2422	C₂	semidirect
18. C₅×#2418	C₂	semidirect
19. C₅×#2337	C₂	semidirect
20. C₅×#2335	C₂	semidirect
21. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
22. C₄×C₅×#121	C₂	semidirect
23. C₂×C₄×C₅×C₂²⋊C₄	C₂	semidirect
25. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
27. C₂×C₅×#124	C₂²	semidirect
37. C₂×C₄×C₅×Q₈	C₂²	semidirect
39. C₂×C₄×C₅×D₄	C₂²	semidirect
44. C₅×#401	C₂²	semidirect
45. C₅×#400	C₂²	semidirect
46. C₅×#400	C₂²	semidirect
48. C₅×#398	C₂²	semidirect
51. C₅×#397	C₂²	semidirect
52. C₅×#397	C₂²	semidirect
53. C₅×#396	C₂²	semidirect
59. C₅×#393	C₂²	semidirect
60. C₅×#391	C₂²	semidirect
61. C₅×#391	C₂²	semidirect
62. C₅×#391	C₂²	semidirect
63. C₅×#391	C₂²	semidirect
65. C₅×#390	C₂²	semidirect
66. C₅×#390	C₂²	semidirect
67. C₅×#389	C₂²	semidirect
68. C₅×#389	C₂²	semidirect
69. C₅×#389	C₂²	semidirect
70. C₅×#389	C₂²	semidirect
71. C₅×#389	C₂²	semidirect
76. C₅×#388	C₂²	semidirect
77. C₅×#388	C₂²	semidirect
78. C₅×#388	C₂²	semidirect
79. C₅×#388	C₂²	semidirect
80. C₅×#388	C₂²	semidirect
81. C₅×#387	C₂²	semidirect
82. C₅×#387	C₂²	semidirect
83. C₅×#387	C₂²	semidirect
95. C₅×#385	C₂²	semidirect
96. C₅×#384	C₂²	semidirect
97. C₅×#383	C₂²	semidirect
98. C₅×#382	C₂²	semidirect
106. C₅×#380	C₂²	semidirect
108. C₄×C₅×C₄⋊C₄	C₂²	semidirect
109. C₄×C₅×C₄⋊C₄	C₂²	semidirect
110. C₄×C₅×C₄⋊C₄	C₂²	semidirect
120. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
123. #35080	C₅	direct (N × H)
245. #2857	C₂×C₅	semidirect
246. #2850	C₂×C₅	semidirect
247. #2848	C₂×C₅	semidirect
249. #2653	C₂×C₅	semidirect
250. #2649	C₂×C₅	semidirect
251. #2510	C₂×C₅	semidirect
252. #2495	C₂×C₅	semidirect
253. #2494	C₂×C₅	semidirect
254. #2492	C₂×C₅	semidirect
255. #2491	C₂×C₅	semidirect
256. #2472	C₂×C₅	semidirect
257. #2450	C₂×C₅	semidirect
258. #2427	C₂×C₅	semidirect
259. #2426	C₂×C₅	semidirect
260. #2423	C₂×C₅	semidirect
261. #2422	C₂×C₅	semidirect
262. #2418	C₂×C₅	semidirect
263. #2337	C₂×C₅	semidirect
264. #2335	C₂×C₅	semidirect
265. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
266. C₄×#121	C₂×C₅	semidirect
267. C₂×C₄×C₂²⋊C₄	C₂×C₅	semidirect
406. C₂×C₄⋊Q₈	C₂²×C₅	semidirect
408. C₂×#124	C₂²×C₅	semidirect
418. C₂×C₄×Q₈	C₂²×C₅	semidirect
420. C₂×C₄×D₄	C₂²×C₅	semidirect
425. #401	C₂²×C₅	semidirect
426. #400	C₂²×C₅	semidirect
427. #400	C₂²×C₅	semidirect
429. #398	C₂²×C₅	semidirect
432. #397	C₂²×C₅	semidirect
433. #397	C₂²×C₅	semidirect
434. #396	C₂²×C₅	semidirect
440. #393	C₂²×C₅	semidirect
441. #391	C₂²×C₅	semidirect
442. #391	C₂²×C₅	semidirect
443. #391	C₂²×C₅	semidirect
444. #391	C₂²×C₅	semidirect
446. #390	C₂²×C₅	semidirect
447. #390	C₂²×C₅	semidirect
448. #389	C₂²×C₅	semidirect
449. #389	C₂²×C₅	semidirect
450. #389	C₂²×C₅	semidirect
451. #389	C₂²×C₅	semidirect
452. #389	C₂²×C₅	semidirect
457. #388	C₂²×C₅	semidirect
458. #388	C₂²×C₅	semidirect
459. #388	C₂²×C₅	semidirect
460. #388	C₂²×C₅	semidirect
461. #388	C₂²×C₅	semidirect
462. #387	C₂²×C₅	semidirect
463. #387	C₂²×C₅	semidirect
464. #387	C₂²×C₅	semidirect
476. #385	C₂²×C₅	semidirect
477. #384	C₂²×C₅	semidirect
478. #383	C₂²×C₅	semidirect
479. #382	C₂²×C₅	semidirect
487. #380	C₂²×C₅	semidirect
489. C₄×C₄⋊C₄	C₂²×C₅	semidirect
490. C₄×C₄⋊C₄	C₂²×C₅	semidirect
491. C₄×C₄⋊C₄	C₂²×C₅	semidirect
501. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
1048. C₅	#35080	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×#2857	2
C₅×#2850	2
C₅×#2848	2
C₅×#2847	2
C₅×#2653	2
C₅×#2649	2
C₅×#2510	2
C₅×#2495	2
C₅×#2494	2
C₅×#2492	2
C₅×#2491	2
C₅×#2472	2
C₅×#2450	2
C₅×#2427	2
C₅×#2426	2
C₅×#2423	2
C₅×#2422	2
C₅×#2418	2
C₅×#2337	2
C₅×#2335	2
C₄×C₅×C₂²⋊Q₈	2
C₄×C₅×#121	2
C₂×C₄×C₅×C₂²⋊C₄	2
#35080	5

Subgroups — C5×#35080 #11957800

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#35080 #11957800