Subgroups — C₅×#34414 #11957134

Order 1280.

2494 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	C₂×C₅×#537	C₂	1	1	yes	maximal, characteristic
2	C₅×#2378	C₂	1	2	yes	maximal, complemented
3	C₅×#2377	C₂	1	2	yes	maximal, complemented
4	C₅×#2368	C₂	1	2	yes	maximal, complemented
5	C₅×#2363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2363	C₂	1	2	yes	maximal, complemented
7	C₅×#2362	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2361	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#2360	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#2345	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2344	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2341	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2339	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2333	C₂	1	2	yes	maximal, complemented
15	C₅×#2333	C₂	1	2	yes	maximal, complemented
16	C₅×#2325	C₂	1	2	yes	maximal, complemented
17	C₅×#2324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2324	C₂	1	2	yes	maximal, complemented
19	C₅×#2323	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2311	C₂	1	1	yes	maximal, characteristic, 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	C₅×#2297	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
26	C₅×#537	C₄	1	16	yes	complemented
27	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
30	C₂×C₅×#121	C₂²	1	1	yes	characteristic
31	C₂×C₅×#121	C₂²	1	2	yes	—
32	C₂×C₅×#121	C₂²	1	2	yes	—
33	C₂×C₅×#121	C₂²	1	1	yes	characteristic
34	C₂×C₅×#121	C₂²	1	2	yes	—
35	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
38	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
41	C₂×C₅×#117	C₂²	1	1	yes	characteristic
42	C₂×C₅×#117	C₂²	1	1	yes	characteristic
43	C₂×C₅×#117	C₂²	1	2	yes	—
44	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
47	C₅×#391	C₂²	1	1	yes	characteristic
48	C₅×#391	C₂²	1	1	yes	characteristic
49	C₅×#391	C₂²	1	1	yes	characteristic
50	C₅×#391	C₂²	1	2	yes	—
51	C₅×#391	C₂²	1	1	yes	characteristic
52	C₅×#390	C₂²	1	1	yes	characteristic
53	C₅×#390	C₂²	1	1	yes	characteristic
54	C₅×#390	C₂²	1	1	yes	characteristic
55	C₅×#390	C₂²	1	2	yes	—
56	C₅×#390	C₂²	1	2	yes	—
57	C₅×#390	C₂²	1	1	yes	characteristic
58	C₅×#390	C₂²	1	2	yes	—
59	C₅×#390	C₂²	1	2	yes	—
60	C₅×#390	C₂²	1	2	yes	—
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	2	yes	—
65	C₅×#389	C₂²	1	1	yes	characteristic
66	C₅×#389	C₂²	1	2	yes	—
67	C₅×#388	C₂²	1	2	yes	—
68	C₅×#388	C₂²	1	2	yes	—
69	C₅×#388	C₂²	1	2	yes	—
70	C₅×#388	C₂²	1	2	yes	—
71	C₅×#388	C₂²	1	2	yes	—
72	C₅×#388	C₂²	1	2	yes	—
73	C₅×#388	C₂²	1	2	yes	—
74	C₅×#388	C₂²	1	2	yes	—
75	C₅×#387	C₂²	1	2	yes	—
76	C₅×#387	C₂²	1	2	yes	—
77	C₅×#387	C₂²	1	2	yes	—
78	C₅×#387	C₂²	1	2	yes	—
79	C₅×#387	C₂²	1	2	yes	—
80	C₅×#387	C₂²	1	2	yes	—
81	C₅×#387	C₂²	1	2	yes	—
82	C₅×#387	C₂²	1	2	yes	—
83	C₅×#386	C₂²	1	1	yes	characteristic
84	C₅×#386	C₂²	1	1	yes	characteristic
85	C₅×#386	C₂²	1	1	yes	characteristic
86	C₅×#386	C₂²	1	1	yes	characteristic
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×#386	C₂²	1	2	yes	—
92	C₅×#386	C₂²	1	2	yes	—
93	C₅×#386	C₂²	1	2	yes	—
94	C₅×#386	C₂²	1	2	yes	—
95	C₅×#385	C₂²	1	2	yes	—
96	C₅×#385	C₂²	1	2	yes	—
97	C₅×#385	C₂²	1	2	yes	—
98	C₅×#385	C₂²	1	2	yes	—
99	C₅×#381	C₂²	1	2	yes	—
100	C₅×#381	C₂²	1	2	yes	—
101	C₅×#380	C₂²	1	1	yes	characteristic
102	C₅×#380	C₂²	1	1	yes	characteristic
103	C₅×#380	C₂²	1	1	yes	characteristic
104	C₅×#380	C₂²	1	1	yes	characteristic
105	C₅×#380	C₂²	1	2	yes	—
106	C₅×#380	C₂²	1	2	yes	—
107	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₅×C₄⋊C₄	C₂²	1	2	yes	—
110	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₅×C₄⋊C₄	C₂²	1	2	yes	—
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	2	yes	—
118	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
123	C₂×C₅×#95	C₂²	1	2	yes	—
124	#34414	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
125	C₂×C₅×#41	—	4	2	no	—
126	C₂×C₅×#41	—	4	2	no	—
127	C₂×C₅×#41	—	4	2	no	—
128	C₂×C₅×#41	—	4	2	no	—
129	C₂×C₅×#41	C₂×C₄	1	8	yes	complemented
130	C₂×C₅×#41	C₂×C₄	1	8	yes	complemented
131	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
132	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
133	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
134	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
135	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
136	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
137	C₂²×C₅×D₄	C₂³	1	2	yes	—
138	C₂²×C₅×D₄	C₂³	1	2	yes	—
139	C₂²×C₅×D₄	C₂³	1	2	yes	—
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	2	yes	—
144	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₅	C₂³	1	2	yes	—
147	C₂³×C₄×C₅	C₂³	1	2	yes	—
148	C₂³×C₄×C₅	C₂³	1	2	yes	—
149	C₂³×C₄×C₅	C₂³	1	2	yes	—
150	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
151	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
152	C₅×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
153	C₅×#121	C₂×C₄	1	8	yes	complemented
154	C₅×#121	C₂×C₄	1	8	yes	complemented
155	C₅×#121	C₂×C₄	1	16	yes	complemented
156	C₅×#121	C₂×C₄	1	16	yes	complemented
157	C₅×#121	C₂×C₄	1	16	yes	complemented
158	C₄×C₅×Q₈	—	4	2	no	—
159	C₄×C₅×Q₈	—	4	2	no	—
160	C₄×C₅×D₄	—	4	2	no	—
161	C₄×C₅×D₄	—	4	2	no	—
162	C₄×C₅×D₄	—	4	4	no	—
163	C₄×C₅×D₄	—	4	4	no	—
164	C₅×#117	—	4	2	no	—
165	C₅×#117	—	4	4	no	—
166	C₅×#117	—	4	2	no	—
167	C₂×C₅×C₄⋊C₄	—	4	2	no	—
168	C₂×C₅×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
169	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	2	yes	—
178	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
180	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
186	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
187	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
188	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
189	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
205	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₄²×C₅	—	4	2	no	—
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	C₂×C₄²×C₅	C₂³	1	2	yes	—
220	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₅	C₂³	1	2	yes	—
222	C₂×C₄²×C₅	C₂³	1	2	yes	—
223	C₂×C₄²×C₅	C₂³	1	2	yes	—
224	C₂×C₄²×C₅	C₂³	1	2	yes	—
225	C₂×C₄²×C₅	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	1	yes	characteristic
232	C₅×#95	C₂³	1	1	yes	characteristic
233	C₅×#95	C₂³	1	1	yes	characteristic
234	C₅×#95	C₂³	1	1	yes	characteristic
235	C₅×#95	C₂³	1	2	yes	—
236	C₅×#95	C₂³	1	2	yes	—
237	C₅×#95	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
244	C₅×#95	C₂³	1	1	yes	characteristic
245	C₅×#95	C₂³	1	2	yes	—
246	C₅×#95	C₂³	1	2	yes	—
247	C₅×#95	C₂³	1	2	yes	—
248	C₅×#95	C₂³	1	2	yes	—
249	C₅×#95	C₂³	1	2	yes	—
250	C₂×#537	C₂×C₅	1	1	yes	characteristic
251	#2378	C₂×C₅	1	2	yes	complemented
252	#2377	C₂×C₅	1	2	yes	complemented
253	#2368	C₂×C₅	1	2	yes	complemented
254	#2363	C₂×C₅	1	1	yes	characteristic, complemented
255	#2363	C₂×C₅	1	2	yes	complemented
256	#2362	C₂×C₅	1	1	yes	characteristic, complemented
257	#2361	C₂×C₅	1	1	yes	characteristic, complemented
258	#2360	C₂×C₅	1	1	yes	characteristic, complemented
259	#2345	C₂×C₅	1	1	yes	characteristic, complemented
260	#2344	C₂×C₅	1	1	yes	characteristic, complemented
261	#2341	C₂×C₅	1	1	yes	characteristic, complemented
262	#2339	C₂×C₅	1	1	yes	characteristic, complemented
263	#2333	C₂×C₅	1	2	yes	complemented
264	#2333	C₂×C₅	1	2	yes	complemented
265	#2325	C₂×C₅	1	2	yes	complemented
266	#2324	C₂×C₅	1	1	yes	characteristic, complemented
267	#2324	C₂×C₅	1	2	yes	complemented
268	#2323	C₂×C₅	1	1	yes	characteristic, complemented
269	#2311	C₂×C₅	1	1	yes	characteristic, complemented
270	C₄×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
271	C₄×#121	C₂×C₅	1	1	yes	characteristic, complemented
272	#2297	C₂×C₅	1	1	yes	characteristic, complemented
273	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
275	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
276	C₂⁴×C₅	C₂⁴	1	2	yes	—
277	C₅×#41	—	4	16	no	—
278	C₅×#41	—	4	16	no	—
279	C₂×C₅×Q₈	—	2	2	no	—
280	C₂×C₅×Q₈	—	2	2	no	—
281	C₂×C₅×Q₈	—	4	1	no	—
282	C₂×C₅×Q₈	—	4	1	no	—
283	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
284	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
285	C₂×C₅×D₄	—	2	2	no	—
286	C₂×C₅×D₄	—	2	2	no	—
287	C₂×C₅×D₄	—	4	2	no	—
288	C₂×C₅×D₄	—	4	2	no	—
289	C₂×C₅×D₄	—	4	2	no	—
290	C₂×C₅×D₄	—	4	2	no	—
291	C₂×C₅×D₄	—	4	1	no	—
292	C₂×C₅×D₄	—	4	1	no	—
293	C₂×C₅×D₄	—	4	2	no	—
294	C₂×C₅×D₄	—	4	2	no	—
295	C₂×C₅×D₄	—	4	1	no	—
296	C₂×C₅×D₄	—	4	1	no	—
297	C₂×C₅×D₄	—	4	1	no	—
298	C₂×C₅×D₄	—	4	1	no	—
299	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
300	C₂×C₅×D₄	C₂²×C₄	1	8	yes	—
301	C₂×C₅×D₄	C₂²×C₄	1	8	yes	—
302	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
303	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
304	C₂×C₅×D₄	C₂²×C₄	1	8	yes	—
305	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
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	4	no	—
315	C₂²×C₄×C₅	—	4	1	no	—
316	C₂²×C₄×C₅	—	4	1	no	—
317	C₂²×C₄×C₅	—	4	2	no	—
318	C₂²×C₄×C₅	—	4	1	no	—
319	C₂²×C₄×C₅	—	4	2	no	—
320	C₂²×C₄×C₅	—	4	1	no	—
321	C₂²×C₄×C₅	—	4	2	no	—
322	C₂²×C₄×C₅	—	4	2	no	—
323	C₂²×C₄×C₅	—	4	2	no	—
324	C₂²×C₄×C₅	—	4	2	no	—
325	C₂²×C₄×C₅	—	4	2	no	—
326	C₂²×C₄×C₅	—	4	2	no	—
327	C₂²×C₄×C₅	—	4	2	no	—
328	C₂²×C₄×C₅	—	4	2	no	—
329	C₂²×C₄×C₅	—	4	2	no	—
330	C₂²×C₄×C₅	—	4	2	no	—
331	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
332	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
333	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
334	C₂²×C₄×C₅	C₂²×C₄	1	8	yes	—
335	C₂²×C₄×C₅	C₂²×C₄	1	8	yes	—
336	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
355	C₅×C₄⋊C₄	—	2	2	no	—
356	C₅×C₄⋊C₄	—	2	2	no	—
357	C₅×C₄⋊C₄	—	2	4	no	—
358	C₅×C₄⋊C₄	—	2	2	no	—
359	C₅×C₄⋊C₄	—	2	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	1	no	—
364	C₅×C₄⋊C₄	—	4	1	no	—
365	C₅×C₄⋊C₄	—	4	2	no	—
366	C₅×C₄⋊C₄	—	4	2	no	—
367	C₅×C₄⋊C₄	—	4	2	no	—
368	C₅×C₄⋊C₄	C₂²×C₄	1	8	yes	—
369	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
370	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
371	C₅×C₄⋊C₄	C₂²×C₄	1	8	yes	—
372	C₅×C₄⋊C₄	C₂²×C₄	1	8	yes	—
373	C₅×C₂²⋊C₄	—	2	2	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	4	no	—
378	C₅×C₂²⋊C₄	—	4	1	no	—
379	C₅×C₂²⋊C₄	—	4	2	no	—
380	C₅×C₂²⋊C₄	—	4	2	no	—
381	C₅×C₂²⋊C₄	—	4	1	no	—
382	C₅×C₂²⋊C₄	—	4	2	no	—
383	C₅×C₂²⋊C₄	—	4	1	no	—
384	C₅×C₂²⋊C₄	—	4	1	no	—
385	C₅×C₂²⋊C₄	—	4	1	no	—
386	C₅×C₂²⋊C₄	—	4	2	no	—
387	C₅×C₂²⋊C₄	—	4	1	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	—	4	2	no	—
393	C₅×C₂²⋊C₄	—	4	2	no	—
394	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
395	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
396	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
397	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
398	C₄²×C₅	—	2	2	no	—
399	C₄²×C₅	—	2	2	no	—
400	C₄²×C₅	—	2	4	no	—
401	C₄²×C₅	—	2	2	no	—
402	C₄²×C₅	—	2	2	no	—
403	C₄²×C₅	—	4	1	no	—
404	C₄²×C₅	—	4	1	no	—
405	C₄²×C₅	—	4	2	no	—
406	C₄²×C₅	—	4	2	no	—
407	C₄²×C₅	—	4	2	no	—
408	C₄²×C₅	—	4	2	no	—
409	C₄²×C₅	—	4	2	no	—
410	C₄²×C₅	—	4	2	no	—
411	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
412	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
413	#537	C₄×C₅	1	16	yes	complemented
414	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
415	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
416	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
417	C₂×#121	C₂²×C₅	1	2	yes	—
418	C₂×#121	C₂²×C₅	1	1	yes	characteristic
419	C₂×#121	C₂²×C₅	1	2	yes	—
420	C₂×#121	C₂²×C₅	1	1	yes	characteristic
421	C₂×#121	C₂²×C₅	1	2	yes	—
422	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
423	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
424	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
425	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
426	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
427	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
428	C₂×#117	C₂²×C₅	1	1	yes	characteristic
429	C₂×#117	C₂²×C₅	1	1	yes	characteristic
430	C₂×#117	C₂²×C₅	1	2	yes	—
431	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
432	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
433	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
434	#391	C₂²×C₅	1	2	yes	—
435	#391	C₂²×C₅	1	1	yes	characteristic
436	#391	C₂²×C₅	1	1	yes	characteristic
437	#391	C₂²×C₅	1	1	yes	characteristic
438	#391	C₂²×C₅	1	1	yes	characteristic
439	#390	C₂²×C₅	1	2	yes	—
440	#390	C₂²×C₅	1	2	yes	—
441	#390	C₂²×C₅	1	1	yes	characteristic
442	#390	C₂²×C₅	1	2	yes	—
443	#390	C₂²×C₅	1	2	yes	—
444	#390	C₂²×C₅	1	2	yes	—
445	#390	C₂²×C₅	1	1	yes	characteristic
446	#390	C₂²×C₅	1	1	yes	characteristic
447	#390	C₂²×C₅	1	1	yes	characteristic
448	#389	C₂²×C₅	1	1	yes	characteristic
449	#389	C₂²×C₅	1	2	yes	—
450	#389	C₂²×C₅	1	1	yes	characteristic
451	#389	C₂²×C₅	1	2	yes	—
452	#389	C₂²×C₅	1	1	yes	characteristic
453	#389	C₂²×C₅	1	1	yes	characteristic
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	—
458	#388	C₂²×C₅	1	2	yes	—
459	#388	C₂²×C₅	1	2	yes	—
460	#388	C₂²×C₅	1	2	yes	—
461	#388	C₂²×C₅	1	2	yes	—
462	#387	C₂²×C₅	1	2	yes	—
463	#387	C₂²×C₅	1	2	yes	—
464	#387	C₂²×C₅	1	2	yes	—
465	#387	C₂²×C₅	1	2	yes	—
466	#387	C₂²×C₅	1	2	yes	—
467	#387	C₂²×C₅	1	2	yes	—
468	#387	C₂²×C₅	1	2	yes	—
469	#387	C₂²×C₅	1	2	yes	—
470	#386	C₂²×C₅	1	2	yes	—
471	#386	C₂²×C₅	1	2	yes	—
472	#386	C₂²×C₅	1	1	yes	characteristic
473	#386	C₂²×C₅	1	2	yes	—
474	#386	C₂²×C₅	1	2	yes	—
475	#386	C₂²×C₅	1	1	yes	characteristic
476	#386	C₂²×C₅	1	2	yes	—
477	#386	C₂²×C₅	1	1	yes	characteristic
478	#386	C₂²×C₅	1	1	yes	characteristic
479	#386	C₂²×C₅	1	2	yes	—
480	#386	C₂²×C₅	1	2	yes	—
481	#386	C₂²×C₅	1	2	yes	—
482	#385	C₂²×C₅	1	2	yes	—
483	#385	C₂²×C₅	1	2	yes	—
484	#385	C₂²×C₅	1	2	yes	—
485	#385	C₂²×C₅	1	2	yes	—
486	#381	C₂²×C₅	1	2	yes	—
487	#381	C₂²×C₅	1	2	yes	—
488	#380	C₂²×C₅	1	1	yes	characteristic
489	#380	C₂²×C₅	1	1	yes	characteristic
490	#380	C₂²×C₅	1	1	yes	characteristic
491	#380	C₂²×C₅	1	1	yes	characteristic
492	#380	C₂²×C₅	1	2	yes	—
493	#380	C₂²×C₅	1	2	yes	—
494	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
495	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
496	C₄×C₄⋊C₄	C₂²×C₅	1	2	yes	—
497	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
498	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
499	C₄×C₄⋊C₄	C₂²×C₅	1	2	yes	—
500	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
501	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
502	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
503	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
504	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
505	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
506	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
507	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
508	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
509	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
510	C₂×#95	C₂²×C₅	1	2	yes	—
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	2	no	—
517	C₂³×C₅	—	2	2	no	—
518	C₂³×C₅	—	2	2	no	—
519	C₂³×C₅	—	2	1	no	—
520	C₂³×C₅	—	2	1	no	—
521	C₂³×C₅	—	2	1	no	—
522	C₂³×C₅	—	2	1	no	—
523	C₂³×C₅	—	2	1	no	—
524	C₂³×C₅	—	2	2	no	—
525	C₂³×C₅	—	2	1	no	—
526	C₂³×C₅	—	2	1	no	—
527	C₂³×C₅	—	2	1	no	—
528	C₂³×C₅	—	2	1	no	—
529	C₂³×C₅	—	2	1	no	—
530	C₂³×C₅	—	2	1	no	—
531	C₂³×C₅	—	2	2	no	—
532	C₂³×C₅	—	2	1	no	—
533	C₂³×C₅	—	2	1	no	—
534	C₂³×C₅	—	2	2	no	—
535	C₂³×C₅	C₂³×C₄	1	2	yes	—
536	C₂³×C₅	C₂³×C₄	1	2	yes	—
537	C₂³×C₅	C₂³×C₄	1	4	yes	—
538	C₂³×C₅	C₂³×C₄	1	2	yes	—
539	C₂³×C₅	C₂⁵	1	1	yes	characteristic
540	C₅×Q₈	—	2	8	no	—
541	C₅×Q₈	—	4	4	no	—
542	C₅×D₄	—	2	8	no	—
543	C₅×D₄	—	4	8	no	—
544	C₅×D₄	—	4	8	no	—
545	C₅×D₄	—	4	4	no	—
546	C₅×D₄	—	4	4	no	—
547	C₅×D₄	—	4	4	no	—
548	C₅×D₄	—	4	8	no	—
549	C₂×C₄×C₅	—	2	1	no	—
550	C₂×C₄×C₅	—	2	2	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	2	no	—
555	C₂×C₄×C₅	—	2	2	no	—
556	C₂×C₄×C₅	—	2	2	no	—
557	C₂×C₄×C₅	—	2	1	no	—
558	C₂×C₄×C₅	—	2	1	no	—
559	C₂×C₄×C₅	—	2	1	no	—
560	C₂×C₄×C₅	—	2	1	no	—
561	C₂×C₄×C₅	—	2	1	no	—
562	C₂×C₄×C₅	—	2	2	no	—
563	C₂×C₄×C₅	—	2	2	no	—
564	C₂×C₄×C₅	—	2	1	no	—
565	C₂×C₄×C₅	—	2	8	no	—
566	C₂×C₄×C₅	—	2	8	no	—
567	C₂×C₄×C₅	—	2	8	no	—
568	C₂×C₄×C₅	—	2	1	no	—
569	C₂×C₄×C₅	—	2	1	no	—
570	C₂×C₄×C₅	—	2	1	no	—
571	C₂×C₄×C₅	—	2	1	no	—
572	C₂×C₄×C₅	—	2	2	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	1	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	1	no	—
583	C₂×C₄×C₅	—	2	2	no	—
584	C₂×C₄×C₅	—	2	1	no	—
585	C₂×C₄×C₅	—	2	2	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	1	no	—
590	C₂×C₄×C₅	—	2	1	no	—
591	C₂×C₄×C₅	—	2	1	no	—
592	C₂×C₄×C₅	—	2	2	no	—
593	C₂×C₄×C₅	—	2	2	no	—
594	C₂×C₄×C₅	—	2	1	no	—
595	C₂×C₄×C₅	—	2	2	no	—
596	C₂×C₄×C₅	—	2	1	no	—
597	C₂×C₄×C₅	—	2	1	no	—
598	C₂×C₄×C₅	—	4	8	no	—
599	C₂×C₄×C₅	—	4	8	no	—
600	C₂×C₄×C₅	—	4	4	no	—
601	C₂×C₄×C₅	—	4	4	no	—
602	C₂×C₄×C₅	—	8	4	no	—
603	C₂×C₄×C₅	—	8	4	no	—
604	C₂×C₄×C₅	—	8	4	no	—
605	C₂×C₄×C₅	C₂³×C₄	1	4	yes	—
606	C₂×C₄×C₅	C₂³×C₄	1	4	yes	—
607	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
608	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
609	C₂×C₄×C₅	C₂³×C₄	1	4	yes	—
610	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
612	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
613	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
614	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
615	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
616	C₂×#41	—	4	2	no	—
617	C₂×#41	—	4	2	no	—
618	C₂×#41	—	4	2	no	—
619	C₂×#41	—	4	2	no	—
620	C₂×#41	C₂×C₄×C₅	1	8	yes	complemented
621	C₂×#41	C₂×C₄×C₅	1	8	yes	complemented
622	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
623	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
624	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
625	C₂²×D₄	C₂³×C₅	1	2	yes	—
626	C₂²×D₄	C₂³×C₅	1	2	yes	—
627	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
628	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
629	C₂²×D₄	C₂³×C₅	1	2	yes	—
630	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
631	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
632	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
633	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
634	C₂³×C₄	C₂³×C₅	1	2	yes	—
635	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
636	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
637	C₂³×C₄	C₂³×C₅	1	2	yes	—
638	C₂³×C₄	C₂³×C₅	1	2	yes	—
639	C₂³×C₄	C₂³×C₅	1	2	yes	—
640	C₂³×C₄	C₂³×C₅	1	2	yes	—
641	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
642	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
643	C₂²⋊Q₈	C₂×C₄×C₅	1	16	yes	complemented
644	#121	C₂×C₄×C₅	1	8	yes	complemented
645	#121	C₂×C₄×C₅	1	8	yes	complemented
646	#121	C₂×C₄×C₅	1	16	yes	complemented
647	#121	C₂×C₄×C₅	1	16	yes	complemented
648	#121	C₂×C₄×C₅	1	16	yes	complemented
649	C₄×Q₈	—	4	2	no	—
650	C₄×Q₈	—	4	2	no	—
651	C₄×D₄	—	4	2	no	—
652	C₄×D₄	—	4	2	no	—
653	C₄×D₄	—	4	4	no	—
654	C₄×D₄	—	4	4	no	—
655	#117	—	4	2	no	—
656	#117	—	4	4	no	—
657	#117	—	4	2	no	—
658	C₂×C₄⋊C₄	—	4	2	no	—
659	C₂×C₄⋊C₄	C₂×C₄×C₅	1	8	yes	complemented
660	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
668	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
670	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
671	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
673	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
676	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
677	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
679	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
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	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
703	C₂×C₄²	—	4	2	no	—
704	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
705	C₂×C₄²	C₂³×C₅	1	2	yes	—
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	C₂×C₄²	C₂³×C₅	1	2	yes	—
710	C₂×C₄²	C₂³×C₅	1	2	yes	—
711	C₂×C₄²	C₂³×C₅	1	2	yes	—
712	C₂×C₄²	C₂³×C₅	1	2	yes	—
713	C₂×C₄²	C₂³×C₅	1	2	yes	—
714	C₂×C₄²	C₂³×C₅	1	2	yes	—
715	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
716	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
717	#95	C₂³×C₅	1	1	yes	characteristic
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	1	yes	characteristic
723	#95	C₂³×C₅	1	1	yes	characteristic
724	#95	C₂³×C₅	1	1	yes	characteristic
725	#95	C₂³×C₅	1	2	yes	—
726	#95	C₂³×C₅	1	1	yes	characteristic
727	#95	C₂³×C₅	1	2	yes	—
728	#95	C₂³×C₅	1	1	yes	characteristic
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	1	yes	characteristic
735	#95	C₂³×C₅	1	1	yes	characteristic
736	#95	C₂³×C₅	1	2	yes	—
737	#95	C₂³×C₅	1	2	yes	—
738	#95	C₂³×C₅	1	2	yes	—
739	#95	C₂³×C₅	1	2	yes	—
740	#95	C₂³×C₅	1	2	yes	—
741	C₂²×C₅	—	2	2	no	—
742	C₂²×C₅	—	2	2	no	—
743	C₂²×C₅	—	2	2	no	—
744	C₂²×C₅	—	2	4	no	—
745	C₂²×C₅	—	2	2	no	—
746	C₂²×C₅	—	2	2	no	—
747	C₂²×C₅	—	2	2	no	—
748	C₂²×C₅	—	2	4	no	—
749	C₂²×C₅	—	2	2	no	—
750	C₂²×C₅	—	2	2	no	—
751	C₂²×C₅	—	2	4	no	—
752	C₂²×C₅	—	2	2	no	—
753	C₂²×C₅	—	4	1	no	—
754	C₂²×C₅	—	4	2	no	—
755	C₂²×C₅	—	4	1	no	—
756	C₂²×C₅	—	4	1	no	—
757	C₂²×C₅	—	4	1	no	—
758	C₂²×C₅	—	4	1	no	—
759	C₂²×C₅	—	4	2	no	—
760	C₂²×C₅	—	4	1	no	—
761	C₂²×C₅	—	4	1	no	—
762	C₂²×C₅	—	4	1	no	—
763	C₂²×C₅	—	4	1	no	—
764	C₂²×C₅	—	4	2	no	—
765	C₂²×C₅	—	4	2	no	—
766	C₂²×C₅	—	4	1	no	—
767	C₂²×C₅	—	4	1	no	—
768	C₂²×C₅	—	4	1	no	—
769	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
770	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
771	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
772	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
773	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
774	C₂²×C₅	#585	1	1	yes	characteristic
775	C₂²×C₅	#585	1	1	yes	characteristic
776	C₄×C₅	—	2	2	no	—
777	C₄×C₅	—	2	2	no	—
778	C₄×C₅	—	2	2	no	—
779	C₄×C₅	—	2	4	no	—
780	C₄×C₅	—	2	4	no	—
781	C₄×C₅	—	2	4	no	—
782	C₄×C₅	—	2	2	no	—
783	C₄×C₅	—	2	2	no	—
784	C₄×C₅	—	4	1	no	—
785	C₄×C₅	—	4	1	no	—
786	C₄×C₅	—	4	2	no	—
787	C₄×C₅	—	4	2	no	—
788	C₄×C₅	—	4	1	no	—
789	C₄×C₅	—	4	2	no	—
790	C₄×C₅	—	4	1	no	—
791	C₄×C₅	—	4	1	no	—
792	C₄×C₅	—	4	2	no	—
793	C₄×C₅	—	4	1	no	—
794	C₄×C₅	#518	1	4	yes	—
795	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
796	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
797	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
798	C₂⁴	C₂⁴×C₅	1	2	yes	—
799	#41	—	4	16	no	—
800	#41	—	4	16	no	—
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	2	no	—
803	C₂×Q₈	—	4	1	no	—
804	C₂×Q₈	—	4	1	no	—
805	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
806	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
807	C₂×D₄	—	2	2	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	4	2	no	—
810	C₂×D₄	—	4	2	no	—
811	C₂×D₄	—	4	1	no	—
812	C₂×D₄	—	4	1	no	—
813	C₂×D₄	—	4	2	no	—
814	C₂×D₄	—	4	2	no	—
815	C₂×D₄	—	4	1	no	—
816	C₂×D₄	—	4	1	no	—
817	C₂×D₄	—	4	1	no	—
818	C₂×D₄	—	4	1	no	—
819	C₂×D₄	—	4	2	no	—
820	C₂×D₄	—	4	2	no	—
821	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
822	C₂×D₄	C₂²×C₄×C₅	1	8	yes	—
823	C₂×D₄	C₂²×C₄×C₅	1	8	yes	—
824	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
825	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
826	C₂×D₄	C₂²×C₄×C₅	1	8	yes	—
827	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
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	4	no	—
837	C₂²×C₄	—	4	1	no	—
838	C₂²×C₄	—	4	1	no	—
839	C₂²×C₄	—	4	2	no	—
840	C₂²×C₄	—	4	2	no	—
841	C₂²×C₄	—	4	2	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	2	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	2	no	—
846	C₂²×C₄	—	4	2	no	—
847	C₂²×C₄	—	4	2	no	—
848	C₂²×C₄	—	4	2	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
854	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
855	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
856	C₂²×C₄	C₂²×C₄×C₅	1	8	yes	—
857	C₂²×C₄	C₂²×C₄×C₅	1	8	yes	—
858	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
861	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
864	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
865	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
868	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
870	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
871	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
872	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
873	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
874	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	4	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	4	2	no	—
883	C₄⋊C₄	—	4	2	no	—
884	C₄⋊C₄	—	4	1	no	—
885	C₄⋊C₄	—	4	1	no	—
886	C₄⋊C₄	—	4	2	no	—
887	C₄⋊C₄	—	4	2	no	—
888	C₄⋊C₄	—	4	2	no	—
889	C₄⋊C₄	—	4	2	no	—
890	C₄⋊C₄	C₂²×C₄×C₅	1	8	yes	—
891	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
892	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
893	C₄⋊C₄	C₂²×C₄×C₅	1	8	yes	—
894	C₄⋊C₄	C₂²×C₄×C₅	1	8	yes	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	4	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	4	1	no	—
901	C₂²⋊C₄	—	4	2	no	—
902	C₂²⋊C₄	—	4	1	no	—
903	C₂²⋊C₄	—	4	2	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	1	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₂²⋊C₄	—	4	1	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	—	4	1	no	—
915	C₂²⋊C₄	—	4	1	no	—
916	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	—
917	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	—
918	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	—
919	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	2	no	—
922	C₄²	—	2	4	no	—
923	C₄²	—	2	2	no	—
924	C₄²	—	2	2	no	—
925	C₄²	—	4	1	no	—
926	C₄²	—	4	1	no	—
927	C₄²	—	4	2	no	—
928	C₄²	—	4	2	no	—
929	C₄²	—	4	2	no	—
930	C₄²	—	4	2	no	—
931	C₄²	—	4	2	no	—
932	C₄²	—	4	2	no	—
933	C₂×C₅	—	4	2	no	—
934	C₂×C₅	—	4	2	no	—
935	C₂×C₅	—	4	2	no	—
936	C₂×C₅	—	4	4	no	—
937	C₂×C₅	C₂×#518	1	1	yes	characteristic
938	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
939	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
940	C₂×C₅	#3541	1	1	yes	characteristic
941	C₂×C₅	#3542	1	1	yes	characteristic
942	C₂×C₅	#3548	1	1	yes	characteristic
943	C₂×C₅	#3551	1	1	yes	characteristic
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	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	1	no	—
956	C₂³	—	2	1	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	2	1	no	—
961	C₂³	—	2	1	no	—
962	C₂³	—	2	1	no	—
963	C₂³	—	2	1	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	1	no	—
966	C₂³	—	2	1	no	—
967	C₂³	—	2	2	no	—
968	C₂³	C₂³×C₄×C₅	1	2	yes	—
969	C₂³	C₂³×C₄×C₅	1	2	yes	—
970	C₂³	C₂³×C₄×C₅	1	4	yes	—
971	C₂³	C₂³×C₄×C₅	1	2	yes	—
972	C₂³	C₂⁵×C₅	1	1	yes	characteristic
973	Q₈	—	2	8	no	—
974	Q₈	—	4	4	no	—
975	D₄	—	2	8	no	—
976	D₄	—	4	4	no	—
977	D₄	—	4	4	no	—
978	D₄	—	4	4	no	—
979	D₄	—	4	8	no	—
980	D₄	—	4	8	no	—
981	D₄	—	4	8	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	8	no	—
999	C₂×C₄	—	2	8	no	—
1000	C₂×C₄	—	2	8	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	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	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	4	8	no	—
1032	C₂×C₄	—	4	8	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	8	4	no	—
1036	C₂×C₄	—	8	4	no	—
1037	C₂×C₄	—	8	4	no	—
1038	C₂×C₄	C₂³×C₄×C₅	1	4	yes	—
1039	C₂×C₄	C₂³×C₄×C₅	1	4	yes	—
1040	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1041	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1042	C₂×C₄	C₂³×C₄×C₅	1	4	yes	—
1043	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1044	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1045	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1046	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1047	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1048	C₂×C₄	C₅×2₋¹⁺⁴	1	2	yes	—
1049	C₅	#34414	1	1	yes	characteristic, direct product factor, Sylow
1050	C₂²	—	2	2	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	4	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	2	4	no	—
1058	C₂²	—	2	2	no	—
1059	C₂²	—	2	2	no	—
1060	C₂²	—	2	4	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	4	1	no	—
1063	C₂²	—	4	2	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	1	no	—
1067	C₂²	—	4	1	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	1	no	—
1071	C₂²	—	4	1	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1079	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1080	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1081	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1082	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1083	C₂²	C₅×#585	1	1	yes	characteristic
1084	C₂²	C₅×#585	1	1	yes	characteristic
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	4	no	—
1089	C₄	—	2	4	no	—
1090	C₄	—	2	4	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	2	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	C₅×#518	1	4	yes	—
1104	C₂	—	4	2	no	—
1105	C₂	—	4	2	no	—
1106	C₂	—	4	2	no	—
1107	C₂	—	4	4	no	—
1108	C₂	C₂×C₅×#518	1	1	yes	characteristic
1109	C₂	C₄×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1110	C₂	C₄×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1111	C₂	C₅×#3541	1	1	yes	characteristic
1112	C₂	C₅×#3542	1	1	yes	characteristic
1113	C₂	C₅×#3548	1	1	yes	characteristic
1114	C₂	C₅×#3551	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₅
Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₂×C₅×#537	C₂
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×#2378	C₂	semidirect
3. C₅×#2377	C₂	semidirect
4. C₅×#2368	C₂	semidirect
5. C₅×#2363	C₂	semidirect
6. C₅×#2363	C₂	semidirect
7. C₅×#2362	C₂	semidirect
8. C₅×#2361	C₂	semidirect
9. C₅×#2360	C₂	semidirect
10. C₅×#2345	C₂	semidirect
11. C₅×#2344	C₂	semidirect
12. C₅×#2341	C₂	semidirect
13. C₅×#2339	C₂	semidirect
14. C₅×#2333	C₂	semidirect
15. C₅×#2333	C₂	semidirect
16. C₅×#2325	C₂	semidirect
17. C₅×#2324	C₂	semidirect
18. C₅×#2324	C₂	semidirect
19. C₅×#2323	C₂	semidirect
20. C₅×#2311	C₂	semidirect
21. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
22. C₄×C₅×#121	C₂	semidirect
23. C₅×#2297	C₂	semidirect
26. C₅×#537	C₄	semidirect
124. #34414	C₅	direct (N × H)
129. C₂×C₅×#41	C₂×C₄	semidirect
130. C₂×C₅×#41	C₂×C₄	semidirect
150. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
151. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
152. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
153. C₅×#121	C₂×C₄	semidirect
154. C₅×#121	C₂×C₄	semidirect
155. C₅×#121	C₂×C₄	semidirect
156. C₅×#121	C₂×C₄	semidirect
157. C₅×#121	C₂×C₄	semidirect
168. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
251. #2378	C₂×C₅	semidirect
252. #2377	C₂×C₅	semidirect
253. #2368	C₂×C₅	semidirect
254. #2363	C₂×C₅	semidirect
255. #2363	C₂×C₅	semidirect
256. #2362	C₂×C₅	semidirect
257. #2361	C₂×C₅	semidirect
258. #2360	C₂×C₅	semidirect
259. #2345	C₂×C₅	semidirect
260. #2344	C₂×C₅	semidirect
261. #2341	C₂×C₅	semidirect
262. #2339	C₂×C₅	semidirect
263. #2333	C₂×C₅	semidirect
264. #2333	C₂×C₅	semidirect
265. #2325	C₂×C₅	semidirect
266. #2324	C₂×C₅	semidirect
267. #2324	C₂×C₅	semidirect
268. #2323	C₂×C₅	semidirect
269. #2311	C₂×C₅	semidirect
270. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
271. C₄×#121	C₂×C₅	semidirect
272. #2297	C₂×C₅	semidirect
413. #537	C₄×C₅	semidirect
620. C₂×#41	C₂×C₄×C₅	semidirect
621. C₂×#41	C₂×C₄×C₅	semidirect
641. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
642. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
643. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
644. #121	C₂×C₄×C₅	semidirect
645. #121	C₂×C₄×C₅	semidirect
646. #121	C₂×C₄×C₅	semidirect
647. #121	C₂×C₄×C₅	semidirect
648. #121	C₂×C₄×C₅	semidirect
659. C₂×C₄⋊C₄	C₂×C₄×C₅	semidirect
1049. C₅	#34414	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×#537	2
C₅×#2378	2
C₅×#2377	2
C₅×#2368	2
C₅×#2363	2
C₅×#2362	2
C₅×#2361	2
C₅×#2360	2
C₅×#2345	2
C₅×#2344	2
C₅×#2341	2
C₅×#2339	2
C₅×#2333	2
C₅×#2325	2
C₅×#2324	2
C₅×#2323	2
C₅×#2311	2
C₄×C₅×C₂²⋊Q₈	2
C₄×C₅×#121	2
C₅×#2297	2
#34414	5

Subgroups — C5×#34414 #11957134

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34414 #11957134