Subgroups — C₂×C₅×#3494 #11985517

Order 1280.

8006 conjugacy classes of subgroups.

The subgroup lattice has 960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3494	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₅×#555	C₂	1	2	yes	maximal, complemented
3	C₂×C₅×#553	C₂	1	2	yes	maximal, complemented
4	C₂×C₅×#553	C₂	1	2	yes	maximal, complemented
5	C₂×C₅×#551	C₂	1	4	yes	maximal, complemented
6	C₂×C₅×#547	C₂	1	2	yes	maximal, complemented
7	C₂×C₅×#546	C₂	1	4	yes	maximal, complemented
8	C₂×C₅×#544	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₅×#542	C₂	1	2	yes	maximal, complemented
10	C₂×C₅×#540	C₂	1	2	yes	maximal, complemented
11	C₂×C₅×#535	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₅×#532	C₂	1	2	yes	maximal, complemented
13	C₂×C₅×#529	C₂	1	2	yes	maximal, complemented
14	C₂×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×C₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₅×#520	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₅×#518	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
20	C₂²×C₅×#41	C₂²	1	4	yes	complemented
21	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic
22	C₂³×C₅×D₄	C₂²	1	2	yes	—
23	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic
24	C₅×#555	C₂²	1	32	yes	complemented
25	C₅×#553	C₂²	1	32	yes	complemented
26	C₅×#553	C₂²	1	32	yes	complemented
27	C₅×#551	C₂²	1	64	yes	complemented
28	C₅×#547	C₂²	1	32	yes	complemented
29	C₅×#546	C₂²	1	64	yes	complemented
30	C₅×#544	C₂²	1	16	yes	complemented
31	C₅×#542	C₂²	1	32	yes	complemented
32	C₅×#540	C₂²	1	32	yes	complemented
33	C₅×#535	C₂²	1	16	yes	complemented
34	C₅×#532	C₂²	1	32	yes	complemented
35	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
36	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
37	C₂×C₅×#127	C₂²	1	2	yes	complemented
38	C₅×#529	C₂²	1	32	yes	complemented
39	C₂×C₅×#126	C₂²	1	4	yes	complemented
40	C₂×C₅×#126	C₂²	1	4	yes	complemented
41	C₂×C₅×#125	C₂²	1	2	yes	complemented
42	C₂×C₅×#125	C₂²	1	2	yes	complemented
43	C₂×C₅×#124	C₂²	1	2	yes	complemented
44	C₂×C₅×#124	C₂²	1	4	yes	complemented
45	C₂×C₅×#124	C₂²	1	4	yes	complemented
46	C₅×#525	C₂²	1	16	yes	complemented
47	C₂×C₅×#123	C₂²	1	2	yes	—
48	C₂×C₅×#123	C₂²	1	4	yes	complemented
49	C₂×C₅×#123	C₂²	1	4	yes	complemented
50	C₂×C₅×#123	C₂²	1	4	yes	complemented
51	C₂×C₅×#123	C₂²	1	4	yes	complemented
52	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	—
53	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
56	C₂×C₅×#121	C₂²	1	2	yes	—
57	C₂×C₅×#121	C₂²	1	2	yes	—
58	C₂×C₅×#121	C₂²	1	2	yes	—
59	C₂×C₅×#121	C₂²	1	2	yes	—
60	C₂×C₅×#121	C₂²	1	16	yes	complemented
61	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₅×#121	C₂²	1	4	yes	complemented
64	C₂×C₅×#121	C₂²	1	2	yes	complemented
65	C₂×C₅×#121	C₂²	1	2	yes	complemented
66	C₂×C₅×#121	C₂²	1	4	yes	complemented
67	C₂×C₅×#121	C₂²	1	4	yes	complemented
68	C₂×C₅×#120	C₂²	1	2	yes	—
69	C₂×C₅×#120	C₂²	1	4	yes	—
70	C₅×#520	C₂²	1	16	yes	complemented
71	C₅×#518	C₂²	1	16	yes	complemented
72	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	complemented
73	C₂×C₄×C₅×D₄	C₂²	1	4	yes	—
74	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
75	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
76	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
77	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
78	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
79	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
80	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
81	C₂×C₄×C₅×D₄	C₂²	1	4	yes	complemented
82	C₂×C₄×C₅×D₄	C₂²	1	4	yes	complemented
83	C₂×C₅×#117	C₂²	1	1	yes	characteristic
84	C₂×C₅×#117	C₂²	1	1	yes	characteristic
85	C₂×C₅×#117	C₂²	1	2	yes	—
86	C₂×C₅×#117	C₂²	1	1	yes	characteristic
87	C₂×C₅×#117	C₂²	1	2	yes	complemented
88	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
90	C₂×C₅×#117	C₂²	1	2	yes	complemented
91	C₂×C₅×#117	C₂²	1	4	yes	complemented
92	C₂×C₅×#117	C₂²	1	16	yes	complemented
93	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
94	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
95	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
96	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	complemented
97	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
98	C₂²×C₅×C₂²⋊C₄	C₂²	1	4	yes	—
99	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₂²×C₄²×C₅	C₂²	1	2	yes	complemented
101	C₂×#3494	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
102	C₂⁵×C₅	C₂³	1	1	yes	characteristic
103	C₂⁵×C₅	C₂³	1	2	yes	—
104	C₂×C₅×#41	—	2	8	no	—
105	C₂×C₅×#41	—	4	16	no	—
106	C₂×C₅×#41	C₂³	1	8	yes	—
107	C₂×C₅×#41	C₂³	1	32	yes	complemented
108	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
109	C₂²×C₅×Q₈	C₂³	1	4	yes	—
110	C₂²×C₅×D₄	—	2	8	no	—
111	C₂²×C₅×D₄	—	4	8	no	—
112	C₂²×C₅×D₄	C₂³	1	2	yes	—
113	C₂²×C₅×D₄	C₂³	1	2	yes	—
114	C₂²×C₅×D₄	C₂³	1	2	yes	—
115	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
116	C₂²×C₅×D₄	C₂³	1	2	yes	—
117	C₂²×C₅×D₄	C₂³	1	4	yes	—
118	C₂²×C₅×D₄	C₂³	1	8	yes	—
119	C₂²×C₅×D₄	C₂³	1	2	yes	—
120	C₂²×C₅×D₄	C₂³	1	4	yes	—
121	C₂²×C₅×D₄	C₂³	1	4	yes	—
122	C₂²×C₅×D₄	C₂³	1	4	yes	—
123	C₂²×C₅×D₄	C₂³	1	16	yes	—
124	C₂³×C₄×C₅	—	2	8	no	—
125	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₅	C₂³	1	2	yes	—
127	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
128	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₅	C₂³	1	2	yes	—
130	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₅	C₂³	1	8	yes	—
133	C₂³×C₄×C₅	C₂³	1	2	yes	—
134	C₂³×C₄×C₅	C₂³	1	2	yes	—
135	C₂³×C₄×C₅	C₂³	1	4	yes	—
136	C₂³×C₄×C₅	C₂³	1	4	yes	—
137	C₂³×C₄×C₅	C₂³	1	4	yes	—
138	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
139	C₅×C₄⋊Q₈	C₂³	1	16	yes	complemented
140	C₅×C₄⋊Q₈	C₂³	1	16	yes	complemented
141	C₅×#127	C₂³	1	16	yes	complemented
142	C₅×#126	C₂³	1	32	yes	complemented
143	C₅×#126	C₂³	1	32	yes	complemented
144	C₅×#125	C₂³	1	16	yes	complemented
145	C₅×#125	C₂³	1	16	yes	complemented
146	C₅×#124	C₂³	1	16	yes	complemented
147	C₅×#124	C₂³	1	32	yes	complemented
148	C₅×#124	C₂³	1	32	yes	complemented
149	C₅×#123	C₂³	1	16	yes	—
150	C₅×#123	C₂³	1	32	yes	complemented
151	C₅×#123	C₂³	1	32	yes	complemented
152	C₅×#123	C₂³	1	32	yes	complemented
153	C₅×#123	C₂³	1	32	yes	complemented
154	C₅×C₂²⋊Q₈	C₂³	1	32	yes	—
155	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
156	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
157	C₅×C₂²⋊Q₈	C₂³	1	32	yes	complemented
158	C₅×#121	C₂³	1	16	yes	—
159	C₅×#121	C₂³	1	16	yes	—
160	C₅×#121	C₂³	1	16	yes	—
161	C₅×#121	C₂³	1	16	yes	—
162	C₅×#121	C₂³	1	8	yes	complemented
163	C₅×#121	C₂³	1	8	yes	complemented
164	C₅×#121	C₂³	1	32	yes	complemented
165	C₅×#121	C₂³	1	16	yes	complemented
166	C₅×#121	C₂³	1	16	yes	complemented
167	C₅×#121	C₂³	1	32	yes	complemented
168	C₅×#121	C₂³	1	32	yes	complemented
169	C₅×#120	C₂³	1	16	yes	—
170	C₅×#120	C₂³	1	32	yes	—
171	C₄×C₅×Q₈	C₂³	1	16	yes	complemented
172	C₄×C₅×D₄	C₂³	1	32	yes	—
173	C₄×C₅×D₄	C₂³	1	16	yes	complemented
174	C₄×C₅×D₄	C₂³	1	16	yes	complemented
175	C₄×C₅×D₄	C₂³	1	16	yes	complemented
176	C₄×C₅×D₄	C₂³	1	16	yes	complemented
177	C₄×C₅×D₄	C₂³	1	16	yes	complemented
178	C₄×C₅×D₄	C₂³	1	16	yes	complemented
179	C₄×C₅×D₄	C₂³	1	16	yes	complemented
180	C₄×C₅×D₄	C₂³	1	32	yes	complemented
181	C₄×C₅×D₄	C₂³	1	32	yes	complemented
182	C₅×#117	C₂³	1	8	yes	—
183	C₅×#117	C₂³	1	8	yes	—
184	C₅×#117	C₂³	1	16	yes	—
185	C₅×#117	C₂³	1	8	yes	—
186	C₅×#117	C₂³	1	16	yes	complemented
187	C₅×#117	C₂³	1	8	yes	complemented
188	C₅×#117	C₂³	1	8	yes	complemented
189	C₅×#117	C₂³	1	16	yes	complemented
190	C₅×#117	C₂³	1	32	yes	complemented
191	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
192	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
194	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
199	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
201	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
204	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
205	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
206	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
207	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
208	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
209	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
210	C₂×C₅×C₄⋊C₄	C₂³	1	16	yes	complemented
211	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₅×C₂²⋊C₄	C₂³	1	16	yes	—
217	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
218	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
219	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
220	C₂×C₅×C₂²⋊C₄	C₂³	1	32	yes	—
221	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
222	C₂×C₅×C₂²⋊C₄	C₂³	1	16	yes	—
223	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
224	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
225	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
228	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₄²×C₅	C₂³	1	2	yes	—
231	C₂×C₄²×C₅	C₂³	1	2	yes	—
232	C₂×C₄²×C₅	C₂³	1	2	yes	—
233	C₂×C₄²×C₅	C₂³	1	2	yes	—
234	C₂×C₄²×C₅	C₂³	1	2	yes	—
235	C₂×C₄²×C₅	C₂³	1	4	yes	—
236	C₂×C₄²×C₅	C₂³	1	16	yes	complemented
237	#3494	C₂×C₅	1	32	yes	direct product factor
238	C₂×#555	C₂×C₅	1	2	yes	complemented
239	C₂×#553	C₂×C₅	1	2	yes	complemented
240	C₂×#553	C₂×C₅	1	2	yes	complemented
241	C₂×#551	C₂×C₅	1	4	yes	complemented
242	C₂×#547	C₂×C₅	1	2	yes	complemented
243	C₂×#546	C₂×C₅	1	4	yes	complemented
244	C₂×#544	C₂×C₅	1	1	yes	characteristic, complemented
245	C₂×#542	C₂×C₅	1	2	yes	complemented
246	C₂×#540	C₂×C₅	1	2	yes	complemented
247	C₂×#535	C₂×C₅	1	1	yes	characteristic, complemented
248	C₂×#532	C₂×C₅	1	2	yes	complemented
249	C₂×#529	C₂×C₅	1	2	yes	complemented
250	C₂×#525	C₂×C₅	1	1	yes	characteristic, complemented
251	C₂²×#121	C₂×C₅	1	1	yes	characteristic, complemented
252	C₂×#520	C₂×C₅	1	1	yes	characteristic, complemented
253	C₂×#518	C₂×C₅	1	1	yes	characteristic, complemented
254	C₂²×#117	C₂×C₅	1	1	yes	characteristic, complemented
255	C₂⁴×C₅	—	2	4	no	—
256	C₂⁴×C₅	—	2	4	no	—
257	C₂⁴×C₅	—	2	8	no	—
258	C₂⁴×C₅	—	4	2	no	—
259	C₂⁴×C₅	—	4	4	no	—
260	C₂⁴×C₅	—	4	4	no	—
261	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
262	C₂⁴×C₅	C₂⁴	1	4	yes	—
263	C₂⁴×C₅	C₂⁴	1	2	yes	—
264	C₂⁴×C₅	C₂⁴	1	4	yes	—
265	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
266	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
267	C₂⁴×C₅	C₂⁴	1	8	yes	—
268	C₅×#41	—	2	32	no	—
269	C₅×#41	—	4	64	no	—
270	C₂×C₅×Q₈	—	2	4	no	—
271	C₂×C₅×Q₈	—	4	8	no	—
272	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
273	C₂×C₅×Q₈	C₂⁴	1	16	yes	—
274	C₂×C₅×D₄	—	2	8	no	—
275	C₂×C₅×D₄	—	2	16	no	—
276	C₂×C₅×D₄	—	2	8	no	—
277	C₂×C₅×D₄	—	2	8	no	—
278	C₂×C₅×D₄	—	2	8	no	—
279	C₂×C₅×D₄	—	2	4	no	—
280	C₂×C₅×D₄	—	2	32	no	—
281	C₂×C₅×D₄	—	4	8	no	—
282	C₂×C₅×D₄	—	4	4	no	—
283	C₂×C₅×D₄	—	4	8	no	—
284	C₂×C₅×D₄	—	4	8	no	—
285	C₂×C₅×D₄	—	4	32	no	—
286	C₂×C₅×D₄	C₂⁴	1	8	yes	—
287	C₂×C₅×D₄	C₂⁴	1	8	yes	—
288	C₂×C₅×D₄	C₂⁴	1	8	yes	—
289	C₂×C₅×D₄	C₂⁴	1	4	yes	—
290	C₂×C₅×D₄	C₂⁴	1	8	yes	—
291	C₂×C₅×D₄	C₂⁴	1	16	yes	—
292	C₂×C₅×D₄	C₂⁴	1	8	yes	—
293	C₂×C₅×D₄	C₂⁴	1	16	yes	—
294	C₂×C₅×D₄	C₂⁴	1	16	yes	—
295	C₂×C₅×D₄	C₂⁴	1	16	yes	—
296	C₂²×C₄×C₅	—	2	4	no	—
297	C₂²×C₄×C₅	—	2	8	no	—
298	C₂²×C₄×C₅	—	2	4	no	—
299	C₂²×C₄×C₅	—	2	4	no	—
300	C₂²×C₄×C₅	—	2	4	no	—
301	C₂²×C₄×C₅	—	2	4	no	—
302	C₂²×C₄×C₅	—	2	8	no	—
303	C₂²×C₄×C₅	—	2	32	no	—
304	C₂²×C₄×C₅	—	4	8	no	—
305	C₂²×C₄×C₅	—	4	4	no	—
306	C₂²×C₄×C₅	—	4	4	no	—
307	C₂²×C₄×C₅	—	4	8	no	—
308	C₂²×C₄×C₅	—	4	8	no	—
309	C₂²×C₄×C₅	#41	1	8	yes	complemented
310	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
311	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
312	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
313	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
314	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
315	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
316	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
317	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
326	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
328	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
329	C₂²×C₄×C₅	C₂⁴	1	16	yes	—
330	C₂²×C₄×C₅	C₂⁴	1	16	yes	—
331	C₂²×C₄×C₅	C₂⁴	1	16	yes	—
332	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
335	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
336	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
337	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
338	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
339	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
340	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
341	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
342	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
343	C₅×C₄⋊C₄	C₂⁴	1	16	yes	—
344	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
345	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
346	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
347	C₅×C₄⋊C₄	C₂⁴	1	16	yes	—
348	C₅×C₄⋊C₄	C₂⁴	1	16	yes	—
349	C₅×C₄⋊C₄	C₂⁴	1	16	yes	—
350	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
351	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
352	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
353	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
354	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
355	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
356	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
357	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
358	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
359	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
360	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
361	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
362	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
363	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
364	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
365	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
366	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
367	C₄²×C₅	C₂⁴	1	8	yes	—
368	C₄²×C₅	C₂⁴	1	8	yes	—
369	C₄²×C₅	C₂⁴	1	8	yes	—
370	C₄²×C₅	C₂⁴	1	8	yes	—
371	C₄²×C₅	C₂⁴	1	8	yes	—
372	C₄²×C₅	C₂⁴	1	16	yes	—
373	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
374	C₂²×#41	C₂²×C₅	1	4	yes	complemented
375	C₂³×D₄	C₂²×C₅	1	1	yes	characteristic
376	C₂³×D₄	C₂²×C₅	1	2	yes	—
377	C₂⁴×C₄	C₂²×C₅	1	1	yes	characteristic
378	#555	C₂²×C₅	1	32	yes	complemented
379	#553	C₂²×C₅	1	32	yes	complemented
380	#553	C₂²×C₅	1	32	yes	complemented
381	#551	C₂²×C₅	1	64	yes	complemented
382	#547	C₂²×C₅	1	32	yes	complemented
383	#546	C₂²×C₅	1	64	yes	complemented
384	#544	C₂²×C₅	1	16	yes	complemented
385	#542	C₂²×C₅	1	32	yes	complemented
386	#540	C₂²×C₅	1	32	yes	complemented
387	#535	C₂²×C₅	1	16	yes	complemented
388	#532	C₂²×C₅	1	32	yes	complemented
389	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	complemented
390	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	complemented
391	C₂×#127	C₂²×C₅	1	2	yes	complemented
392	#529	C₂²×C₅	1	32	yes	complemented
393	C₂×#126	C₂²×C₅	1	4	yes	complemented
394	C₂×#126	C₂²×C₅	1	4	yes	complemented
395	C₂×#125	C₂²×C₅	1	2	yes	complemented
396	C₂×#125	C₂²×C₅	1	2	yes	complemented
397	C₂×#124	C₂²×C₅	1	2	yes	complemented
398	C₂×#124	C₂²×C₅	1	4	yes	complemented
399	C₂×#124	C₂²×C₅	1	4	yes	complemented
400	#525	C₂²×C₅	1	16	yes	complemented
401	C₂×#123	C₂²×C₅	1	2	yes	—
402	C₂×#123	C₂²×C₅	1	4	yes	complemented
403	C₂×#123	C₂²×C₅	1	4	yes	complemented
404	C₂×#123	C₂²×C₅	1	4	yes	complemented
405	C₂×#123	C₂²×C₅	1	4	yes	complemented
406	C₂×C₂²⋊Q₈	C₂²×C₅	1	4	yes	—
407	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
408	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
409	C₂×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
410	C₂×#121	C₂²×C₅	1	2	yes	—
411	C₂×#121	C₂²×C₅	1	2	yes	—
412	C₂×#121	C₂²×C₅	1	2	yes	—
413	C₂×#121	C₂²×C₅	1	2	yes	—
414	C₂×#121	C₂²×C₅	1	16	yes	complemented
415	C₂×#121	C₂²×C₅	1	1	yes	characteristic, complemented
416	C₂×#121	C₂²×C₅	1	1	yes	characteristic, complemented
417	C₂×#121	C₂²×C₅	1	4	yes	complemented
418	C₂×#121	C₂²×C₅	1	2	yes	complemented
419	C₂×#121	C₂²×C₅	1	2	yes	complemented
420	C₂×#121	C₂²×C₅	1	4	yes	complemented
421	C₂×#121	C₂²×C₅	1	4	yes	complemented
422	C₂×#120	C₂²×C₅	1	2	yes	—
423	C₂×#120	C₂²×C₅	1	4	yes	—
424	#520	C₂²×C₅	1	16	yes	complemented
425	#518	C₂²×C₅	1	16	yes	complemented
426	C₂×C₄×Q₈	C₂²×C₅	1	2	yes	complemented
427	C₂×C₄×D₄	C₂²×C₅	1	4	yes	—
428	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
429	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
430	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
431	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
432	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
433	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
434	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
435	C₂×C₄×D₄	C₂²×C₅	1	4	yes	complemented
436	C₂×C₄×D₄	C₂²×C₅	1	4	yes	complemented
437	C₂×#117	C₂²×C₅	1	1	yes	characteristic
438	C₂×#117	C₂²×C₅	1	1	yes	characteristic
439	C₂×#117	C₂²×C₅	1	2	yes	—
440	C₂×#117	C₂²×C₅	1	1	yes	characteristic
441	C₂×#117	C₂²×C₅	1	2	yes	complemented
442	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
443	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
444	C₂×#117	C₂²×C₅	1	2	yes	complemented
445	C₂×#117	C₂²×C₅	1	4	yes	complemented
446	C₂×#117	C₂²×C₅	1	16	yes	complemented
447	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
448	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
449	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
450	C₂²×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
451	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
452	C₂²×C₂²⋊C₄	C₂²×C₅	1	4	yes	—
453	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
454	C₂²×C₄²	C₂²×C₅	1	2	yes	complemented
455	C₂³×C₅	—	2	2	no	—
456	C₂³×C₅	—	2	2	no	—
457	C₂³×C₅	—	2	2	no	—
458	C₂³×C₅	—	2	2	no	—
459	C₂³×C₅	—	2	8	no	—
460	C₂³×C₅	—	2	2	no	—
461	C₂³×C₅	—	2	4	no	—
462	C₂³×C₅	—	2	8	no	—
463	C₂³×C₅	—	2	4	no	—
464	C₂³×C₅	—	2	8	no	—
465	C₂³×C₅	—	2	8	no	—
466	C₂³×C₅	—	2	2	no	—
467	C₂³×C₅	—	2	8	no	—
468	C₂³×C₅	—	2	4	no	—
469	C₂³×C₅	—	2	2	no	—
470	C₂³×C₅	—	2	16	no	—
471	C₂³×C₅	—	4	4	no	—
472	C₂³×C₅	—	4	8	no	—
473	C₂³×C₅	—	4	8	no	—
474	C₂³×C₅	—	4	16	no	—
475	C₂³×C₅	—	8	16	no	—
476	C₂³×C₅	C₂×#41	1	4	yes	—
477	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
478	C₂³×C₅	C₂⁵	1	2	yes	—
479	C₂³×C₅	C₂⁵	1	8	yes	—
480	C₂³×C₅	C₂⁵	1	4	yes	—
481	C₂³×C₅	C₂⁵	1	2	yes	—
482	C₂³×C₅	C₂⁵	1	2	yes	—
483	C₂³×C₅	C₂⁵	1	1	yes	characteristic
484	C₅×Q₈	—	2	8	no	—
485	C₅×Q₈	—	4	16	no	—
486	C₅×D₄	—	2	16	no	—
487	C₅×D₄	—	2	32	no	—
488	C₅×D₄	—	2	16	no	—
489	C₅×D₄	—	2	16	no	—
490	C₅×D₄	—	2	16	no	—
491	C₅×D₄	—	2	8	no	—
492	C₅×D₄	—	4	16	no	—
493	C₅×D₄	—	4	8	no	—
494	C₅×D₄	—	4	16	no	—
495	C₅×D₄	—	4	16	no	—
496	C₂×C₄×C₅	—	2	8	no	—
497	C₂×C₄×C₅	—	2	2	no	—
498	C₂×C₄×C₅	—	2	2	no	—
499	C₂×C₄×C₅	—	2	4	no	—
500	C₂×C₄×C₅	—	2	4	no	—
501	C₂×C₄×C₅	—	2	4	no	—
502	C₂×C₄×C₅	—	2	16	no	—
503	C₂×C₄×C₅	—	2	8	no	—
504	C₂×C₄×C₅	—	2	4	no	—
505	C₂×C₄×C₅	—	2	4	no	—
506	C₂×C₄×C₅	—	2	4	no	—
507	C₂×C₄×C₅	—	2	4	no	—
508	C₂×C₄×C₅	—	2	8	no	—
509	C₂×C₄×C₅	—	2	8	no	—
510	C₂×C₄×C₅	—	2	8	no	—
511	C₂×C₄×C₅	—	2	8	no	—
512	C₂×C₄×C₅	—	2	16	no	—
513	C₂×C₄×C₅	—	4	16	no	—
514	C₂×C₄×C₅	—	4	8	no	—
515	C₂×C₄×C₅	—	4	8	no	—
516	C₂×C₄×C₅	—	4	16	no	—
517	C₂×C₄×C₅	—	4	16	no	—
518	C₂×C₄×C₅	C₂×#41	1	4	yes	—
519	C₂×C₄×C₅	C₂×#41	1	4	yes	—
520	C₂×C₄×C₅	C₂×#41	1	16	yes	complemented
521	C₂×C₄×C₅	C₂⁵	1	2	yes	—
522	C₂×C₄×C₅	C₂⁵	1	4	yes	—
523	C₂×C₄×C₅	C₂⁵	1	4	yes	—
524	C₂×C₄×C₅	C₂⁵	1	4	yes	—
525	C₂×C₄×C₅	C₂⁵	1	4	yes	—
526	C₂×C₄×C₅	C₂⁵	1	4	yes	—
527	C₂×C₄×C₅	C₂⁵	1	4	yes	—
528	C₂×C₄×C₅	C₂⁵	1	4	yes	—
529	C₂×C₄×C₅	C₂⁵	1	8	yes	—
530	C₂×C₄×C₅	C₂⁵	1	2	yes	—
531	C₂×C₄×C₅	C₂⁵	1	2	yes	—
532	C₂×C₄×C₅	C₂⁵	1	2	yes	—
533	C₂⁵	C₂³×C₅	1	1	yes	characteristic
534	C₂⁵	C₂³×C₅	1	2	yes	—
535	C₂×#41	—	2	8	no	—
536	C₂×#41	—	4	16	no	—
537	C₂×#41	C₂³×C₅	1	8	yes	—
538	C₂×#41	C₂³×C₅	1	32	yes	complemented
539	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
540	C₂²×Q₈	C₂³×C₅	1	4	yes	—
541	C₂²×D₄	—	2	8	no	—
542	C₂²×D₄	—	4	8	no	—
543	C₂²×D₄	C₂³×C₅	1	2	yes	—
544	C₂²×D₄	C₂³×C₅	1	2	yes	—
545	C₂²×D₄	C₂³×C₅	1	2	yes	—
546	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
547	C₂²×D₄	C₂³×C₅	1	2	yes	—
548	C₂²×D₄	C₂³×C₅	1	4	yes	—
549	C₂²×D₄	C₂³×C₅	1	8	yes	—
550	C₂²×D₄	C₂³×C₅	1	2	yes	—
551	C₂²×D₄	C₂³×C₅	1	4	yes	—
552	C₂²×D₄	C₂³×C₅	1	4	yes	—
553	C₂²×D₄	C₂³×C₅	1	4	yes	—
554	C₂²×D₄	C₂³×C₅	1	16	yes	—
555	C₂³×C₄	—	2	8	no	—
556	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
557	C₂³×C₄	C₂³×C₅	1	2	yes	—
558	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
559	C₂³×C₄	C₂³×C₅	1	2	yes	—
560	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
561	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
562	C₂³×C₄	C₂³×C₅	1	8	yes	—
563	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
564	C₂³×C₄	C₂³×C₅	1	2	yes	—
565	C₂³×C₄	C₂³×C₅	1	2	yes	—
566	C₂³×C₄	C₂³×C₅	1	4	yes	—
567	C₂³×C₄	C₂³×C₅	1	4	yes	—
568	C₂³×C₄	C₂³×C₅	1	4	yes	—
569	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
570	C₄⋊Q₈	C₂³×C₅	1	16	yes	complemented
571	C₄⋊Q₈	C₂³×C₅	1	16	yes	complemented
572	#127	C₂³×C₅	1	16	yes	complemented
573	#126	C₂³×C₅	1	32	yes	complemented
574	#126	C₂³×C₅	1	32	yes	complemented
575	#125	C₂³×C₅	1	16	yes	complemented
576	#125	C₂³×C₅	1	16	yes	complemented
577	#124	C₂³×C₅	1	16	yes	complemented
578	#124	C₂³×C₅	1	32	yes	complemented
579	#124	C₂³×C₅	1	32	yes	complemented
580	#123	C₂³×C₅	1	16	yes	—
581	#123	C₂³×C₅	1	32	yes	complemented
582	#123	C₂³×C₅	1	32	yes	complemented
583	#123	C₂³×C₅	1	32	yes	complemented
584	#123	C₂³×C₅	1	32	yes	complemented
585	C₂²⋊Q₈	C₂³×C₅	1	32	yes	—
586	C₂²⋊Q₈	C₂³×C₅	1	8	yes	complemented
587	C₂²⋊Q₈	C₂³×C₅	1	8	yes	complemented
588	C₂²⋊Q₈	C₂³×C₅	1	32	yes	complemented
589	#121	C₂³×C₅	1	16	yes	—
590	#121	C₂³×C₅	1	16	yes	—
591	#121	C₂³×C₅	1	16	yes	—
592	#121	C₂³×C₅	1	16	yes	—
593	#121	C₂³×C₅	1	8	yes	complemented
594	#121	C₂³×C₅	1	8	yes	complemented
595	#121	C₂³×C₅	1	32	yes	complemented
596	#121	C₂³×C₅	1	16	yes	complemented
597	#121	C₂³×C₅	1	16	yes	complemented
598	#121	C₂³×C₅	1	32	yes	complemented
599	#121	C₂³×C₅	1	32	yes	complemented
600	#120	C₂³×C₅	1	16	yes	—
601	#120	C₂³×C₅	1	32	yes	—
602	C₄×Q₈	C₂³×C₅	1	16	yes	complemented
603	C₄×D₄	C₂³×C₅	1	32	yes	—
604	C₄×D₄	C₂³×C₅	1	16	yes	complemented
605	C₄×D₄	C₂³×C₅	1	16	yes	complemented
606	C₄×D₄	C₂³×C₅	1	16	yes	complemented
607	C₄×D₄	C₂³×C₅	1	16	yes	complemented
608	C₄×D₄	C₂³×C₅	1	16	yes	complemented
609	C₄×D₄	C₂³×C₅	1	16	yes	complemented
610	C₄×D₄	C₂³×C₅	1	16	yes	complemented
611	C₄×D₄	C₂³×C₅	1	32	yes	complemented
612	C₄×D₄	C₂³×C₅	1	32	yes	complemented
613	#117	C₂³×C₅	1	8	yes	—
614	#117	C₂³×C₅	1	8	yes	—
615	#117	C₂³×C₅	1	16	yes	—
616	#117	C₂³×C₅	1	8	yes	—
617	#117	C₂³×C₅	1	16	yes	complemented
618	#117	C₂³×C₅	1	8	yes	complemented
619	#117	C₂³×C₅	1	8	yes	complemented
620	#117	C₂³×C₅	1	16	yes	complemented
621	#117	C₂³×C₅	1	32	yes	complemented
622	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
623	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
624	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
625	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
630	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
631	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
632	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
636	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
637	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
638	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
639	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	complemented
640	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	complemented
641	C₂×C₄⋊C₄	C₂³×C₅	1	16	yes	complemented
642	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
644	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
645	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
646	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
647	C₂×C₂²⋊C₄	C₂³×C₅	1	16	yes	—
648	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
649	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
650	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
651	C₂×C₂²⋊C₄	C₂³×C₅	1	32	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₅	1	16	yes	—
654	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
657	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
661	C₂×C₄²	C₂³×C₅	1	2	yes	—
662	C₂×C₄²	C₂³×C₅	1	2	yes	—
663	C₂×C₄²	C₂³×C₅	1	2	yes	—
664	C₂×C₄²	C₂³×C₅	1	2	yes	—
665	C₂×C₄²	C₂³×C₅	1	2	yes	—
666	C₂×C₄²	C₂³×C₅	1	4	yes	—
667	C₂×C₄²	C₂³×C₅	1	16	yes	complemented
668	C₂²×C₅	—	2	2	no	—
669	C₂²×C₅	—	2	2	no	—
670	C₂²×C₅	—	2	2	no	—
671	C₂²×C₅	—	2	2	no	—
672	C₂²×C₅	—	2	8	no	—
673	C₂²×C₅	—	2	8	no	—
674	C₂²×C₅	—	2	2	no	—
675	C₂²×C₅	—	2	4	no	—
676	C₂²×C₅	—	2	8	no	—
677	C₂²×C₅	—	2	4	no	—
678	C₂²×C₅	—	2	8	no	—
679	C₂²×C₅	—	2	2	no	—
680	C₂²×C₅	—	2	8	no	—
681	C₂²×C₅	—	2	4	no	—
682	C₂²×C₅	—	2	2	no	—
683	C₂²×C₅	—	4	16	no	—
684	C₂²×C₅	—	4	8	no	—
685	C₂²×C₅	—	4	4	no	—
686	C₂²×C₅	—	4	16	no	—
687	C₂²×C₅	—	8	16	no	—
688	C₂²×C₅	C₂²×#41	1	4	yes	—
689	C₂²×C₅	C₂²×#41	1	2	yes	—
690	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
691	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
692	C₂²×C₅	#585	1	2	yes	—
693	C₂²×C₅	C₂⁶	1	1	yes	characteristic
694	C₄×C₅	—	2	2	no	—
695	C₄×C₅	—	2	2	no	—
696	C₄×C₅	—	2	4	no	—
697	C₄×C₅	—	2	4	no	—
698	C₄×C₅	—	2	4	no	—
699	C₄×C₅	—	2	8	no	—
700	C₄×C₅	—	2	4	no	—
701	C₄×C₅	—	2	4	no	—
702	C₄×C₅	—	2	4	no	—
703	C₄×C₅	—	2	4	no	—
704	C₄×C₅	C₂²×#41	1	4	yes	—
705	C₄×C₅	C₂²×#41	1	4	yes	—
706	C₂⁴	—	2	4	no	—
707	C₂⁴	—	2	4	no	—
708	C₂⁴	—	2	8	no	—
709	C₂⁴	—	4	2	no	—
710	C₂⁴	—	4	4	no	—
711	C₂⁴	—	4	4	no	—
712	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
713	C₂⁴	C₂⁴×C₅	1	4	yes	—
714	C₂⁴	C₂⁴×C₅	1	2	yes	—
715	C₂⁴	C₂⁴×C₅	1	4	yes	—
716	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
717	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
718	C₂⁴	C₂⁴×C₅	1	8	yes	—
719	#41	—	2	32	no	—
720	#41	—	4	64	no	—
721	C₂×Q₈	—	2	4	no	—
722	C₂×Q₈	—	4	8	no	—
723	C₂×Q₈	C₂⁴×C₅	1	4	yes	—
724	C₂×Q₈	C₂⁴×C₅	1	16	yes	—
725	C₂×D₄	—	2	8	no	—
726	C₂×D₄	—	2	16	no	—
727	C₂×D₄	—	2	8	no	—
728	C₂×D₄	—	2	8	no	—
729	C₂×D₄	—	2	8	no	—
730	C₂×D₄	—	2	4	no	—
731	C₂×D₄	—	2	32	no	—
732	C₂×D₄	—	4	8	no	—
733	C₂×D₄	—	4	8	no	—
734	C₂×D₄	—	4	4	no	—
735	C₂×D₄	—	4	8	no	—
736	C₂×D₄	—	4	32	no	—
737	C₂×D₄	C₂⁴×C₅	1	8	yes	—
738	C₂×D₄	C₂⁴×C₅	1	8	yes	—
739	C₂×D₄	C₂⁴×C₅	1	8	yes	—
740	C₂×D₄	C₂⁴×C₅	1	4	yes	—
741	C₂×D₄	C₂⁴×C₅	1	8	yes	—
742	C₂×D₄	C₂⁴×C₅	1	16	yes	—
743	C₂×D₄	C₂⁴×C₅	1	8	yes	—
744	C₂×D₄	C₂⁴×C₅	1	16	yes	—
745	C₂×D₄	C₂⁴×C₅	1	16	yes	—
746	C₂×D₄	C₂⁴×C₅	1	16	yes	—
747	C₂²×C₄	—	2	4	no	—
748	C₂²×C₄	—	2	8	no	—
749	C₂²×C₄	—	2	4	no	—
750	C₂²×C₄	—	2	4	no	—
751	C₂²×C₄	—	2	4	no	—
752	C₂²×C₄	—	2	4	no	—
753	C₂²×C₄	—	2	8	no	—
754	C₂²×C₄	—	2	32	no	—
755	C₂²×C₄	—	4	4	no	—
756	C₂²×C₄	—	4	8	no	—
757	C₂²×C₄	—	4	8	no	—
758	C₂²×C₄	—	4	8	no	—
759	C₂²×C₄	—	4	4	no	—
760	C₂²×C₄	C₅×#41	1	8	yes	complemented
761	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
762	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
763	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
764	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
765	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
766	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
767	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
768	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
769	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
770	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
771	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
772	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
773	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
774	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
775	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
776	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
777	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
778	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
779	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
780	C₂²×C₄	C₂⁴×C₅	1	16	yes	—
781	C₂²×C₄	C₂⁴×C₅	1	16	yes	—
782	C₂²×C₄	C₂⁴×C₅	1	16	yes	—
783	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
784	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
785	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
786	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
787	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
788	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
789	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
790	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
791	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
792	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
793	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
794	C₄⋊C₄	C₂⁴×C₅	1	16	yes	—
795	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
796	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
797	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
798	C₄⋊C₄	C₂⁴×C₅	1	16	yes	—
799	C₄⋊C₄	C₂⁴×C₅	1	16	yes	—
800	C₄⋊C₄	C₂⁴×C₅	1	16	yes	—
801	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
802	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
803	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
804	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
805	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
806	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
807	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
808	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
809	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
810	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
811	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
812	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
813	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
814	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
815	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
816	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
817	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
818	C₄²	C₂⁴×C₅	1	8	yes	—
819	C₄²	C₂⁴×C₅	1	8	yes	—
820	C₄²	C₂⁴×C₅	1	8	yes	—
821	C₄²	C₂⁴×C₅	1	8	yes	—
822	C₄²	C₂⁴×C₅	1	8	yes	—
823	C₄²	C₂⁴×C₅	1	16	yes	—
824	C₂×C₅	—	2	4	no	—
825	C₂×C₅	—	2	4	no	—
826	C₂×C₅	—	4	4	no	—
827	C₂×C₅	—	4	2	no	—
828	C₂×C₅	—	4	8	no	—
829	C₂×C₅	#3494	1	4	yes	direct product factor
830	C₂×C₅	C₂³×#41	1	1	yes	characteristic
831	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
832	C₂×C₅	C₂×#585	1	1	yes	characteristic
833	C₂³	—	2	2	no	—
834	C₂³	—	2	2	no	—
835	C₂³	—	2	2	no	—
836	C₂³	—	2	2	no	—
837	C₂³	—	2	8	no	—
838	C₂³	—	2	2	no	—
839	C₂³	—	2	4	no	—
840	C₂³	—	2	8	no	—
841	C₂³	—	2	4	no	—
842	C₂³	—	2	8	no	—
843	C₂³	—	2	8	no	—
844	C₂³	—	2	2	no	—
845	C₂³	—	2	8	no	—
846	C₂³	—	2	4	no	—
847	C₂³	—	2	2	no	—
848	C₂³	—	2	16	no	—
849	C₂³	—	4	4	no	—
850	C₂³	—	4	8	no	—
851	C₂³	—	4	8	no	—
852	C₂³	—	4	16	no	—
853	C₂³	—	8	16	no	—
854	C₂³	C₂×C₅×#41	1	4	yes	—
855	C₂³	C₅×H(5,𝔽₂)	1	4	yes	—
856	C₂³	C₂⁵×C₅	1	2	yes	—
857	C₂³	C₂⁵×C₅	1	8	yes	—
858	C₂³	C₂⁵×C₅	1	4	yes	—
859	C₂³	C₂⁵×C₅	1	2	yes	—
860	C₂³	C₂⁵×C₅	1	2	yes	—
861	C₂³	C₂⁵×C₅	1	1	yes	characteristic
862	Q₈	—	2	8	no	—
863	Q₈	—	4	16	no	—
864	D₄	—	2	16	no	—
865	D₄	—	2	32	no	—
866	D₄	—	2	16	no	—
867	D₄	—	2	16	no	—
868	D₄	—	2	16	no	—
869	D₄	—	2	8	no	—
870	D₄	—	4	16	no	—
871	D₄	—	4	16	no	—
872	D₄	—	4	8	no	—
873	D₄	—	4	16	no	—
874	C₂×C₄	—	2	8	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	2	no	—
877	C₂×C₄	—	2	4	no	—
878	C₂×C₄	—	2	4	no	—
879	C₂×C₄	—	2	4	no	—
880	C₂×C₄	—	2	16	no	—
881	C₂×C₄	—	2	8	no	—
882	C₂×C₄	—	2	4	no	—
883	C₂×C₄	—	2	4	no	—
884	C₂×C₄	—	2	4	no	—
885	C₂×C₄	—	2	4	no	—
886	C₂×C₄	—	2	8	no	—
887	C₂×C₄	—	2	8	no	—
888	C₂×C₄	—	2	8	no	—
889	C₂×C₄	—	2	8	no	—
890	C₂×C₄	—	2	16	no	—
891	C₂×C₄	—	4	8	no	—
892	C₂×C₄	—	4	16	no	—
893	C₂×C₄	—	4	16	no	—
894	C₂×C₄	—	4	16	no	—
895	C₂×C₄	—	4	8	no	—
896	C₂×C₄	C₂×C₅×#41	1	4	yes	—
897	C₂×C₄	C₂×C₅×#41	1	4	yes	—
898	C₂×C₄	C₂×C₅×#41	1	16	yes	complemented
899	C₂×C₄	C₂⁵×C₅	1	2	yes	—
900	C₂×C₄	C₂⁵×C₅	1	4	yes	—
901	C₂×C₄	C₂⁵×C₅	1	4	yes	—
902	C₂×C₄	C₂⁵×C₅	1	4	yes	—
903	C₂×C₄	C₂⁵×C₅	1	4	yes	—
904	C₂×C₄	C₂⁵×C₅	1	4	yes	—
905	C₂×C₄	C₂⁵×C₅	1	4	yes	—
906	C₂×C₄	C₂⁵×C₅	1	4	yes	—
907	C₂×C₄	C₂⁵×C₅	1	8	yes	—
908	C₂×C₄	C₂⁵×C₅	1	2	yes	—
909	C₂×C₄	C₂⁵×C₅	1	2	yes	—
910	C₂×C₄	C₂⁵×C₅	1	2	yes	—
911	C₅	C₂×#3494	1	1	yes	characteristic, direct product factor, Sylow
912	C₂²	—	2	2	no	—
913	C₂²	—	2	2	no	—
914	C₂²	—	2	2	no	—
915	C₂²	—	2	2	no	—
916	C₂²	—	2	8	no	—
917	C₂²	—	2	8	no	—
918	C₂²	—	2	2	no	—
919	C₂²	—	2	4	no	—
920	C₂²	—	2	8	no	—
921	C₂²	—	2	4	no	—
922	C₂²	—	2	8	no	—
923	C₂²	—	2	2	no	—
924	C₂²	—	2	8	no	—
925	C₂²	—	2	4	no	—
926	C₂²	—	2	2	no	—
927	C₂²	—	4	16	no	—
928	C₂²	—	4	4	no	—
929	C₂²	—	4	16	no	—
930	C₂²	—	4	8	no	—
931	C₂²	—	8	16	no	—
932	C₂²	C₂²×C₅×#41	1	4	yes	—
933	C₂²	C₂²×C₅×#41	1	2	yes	—
934	C₂²	C₂×C₅×H(5,𝔽₂)	1	4	yes	—
935	C₂²	C₂×C₅×H(5,𝔽₂)	1	2	yes	—
936	C₂²	C₅×#585	1	2	yes	—
937	C₂²	C₂⁶×C₅	1	1	yes	characteristic
938	C₄	—	2	2	no	—
939	C₄	—	2	2	no	—
940	C₄	—	2	4	no	—
941	C₄	—	2	4	no	—
942	C₄	—	2	4	no	—
943	C₄	—	2	8	no	—
944	C₄	—	2	4	no	—
945	C₄	—	2	4	no	—
946	C₄	—	2	4	no	—
947	C₄	—	2	4	no	—
948	C₄	C₂²×C₅×#41	1	4	yes	—
949	C₄	C₂²×C₅×#41	1	4	yes	—
950	C₂	—	2	4	no	—
951	C₂	—	2	4	no	—
952	C₂	—	4	2	no	—
953	C₂	—	4	8	no	—
954	C₂	—	4	4	no	—
955	C₂	C₅×#3494	1	4	yes	direct product factor
956	C₂	C₂³×C₅×#41	1	1	yes	characteristic
957	C₂	C₂²×C₅×H(5,𝔽₂)	1	1	yes	characteristic
958	C₂	C₂×C₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅
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
1. C₅×#3494	C₂	direct (N × H)
2. C₂×C₅×#555	C₂	semidirect
3. C₂×C₅×#553	C₂	semidirect
4. C₂×C₅×#553	C₂	semidirect
5. C₂×C₅×#551	C₂	semidirect
6. C₂×C₅×#547	C₂	semidirect
7. C₂×C₅×#546	C₂	semidirect
8. C₂×C₅×#544	C₂	semidirect
9. C₂×C₅×#542	C₂	semidirect
10. C₂×C₅×#540	C₂	semidirect
11. C₂×C₅×#535	C₂	semidirect
12. C₂×C₅×#532	C₂	semidirect
13. C₂×C₅×#529	C₂	semidirect
14. C₂×C₅×#525	C₂	semidirect
15. C₂²×C₅×#121	C₂	semidirect
16. C₂×C₅×#520	C₂	semidirect
17. C₂×C₅×#518	C₂	semidirect
18. C₂²×C₅×#117	C₂	semidirect
20. C₂²×C₅×#41	C₂²	semidirect
24. C₅×#555	C₂²	semidirect
25. C₅×#553	C₂²	semidirect
26. C₅×#553	C₂²	semidirect
27. C₅×#551	C₂²	semidirect
28. C₅×#547	C₂²	semidirect
29. C₅×#546	C₂²	semidirect
30. C₅×#544	C₂²	semidirect
31. C₅×#542	C₂²	semidirect
32. C₅×#540	C₂²	semidirect
33. C₅×#535	C₂²	semidirect
34. C₅×#532	C₂²	semidirect
35. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
36. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
37. C₂×C₅×#127	C₂²	semidirect
38. C₅×#529	C₂²	semidirect
39. C₂×C₅×#126	C₂²	semidirect
40. C₂×C₅×#126	C₂²	semidirect
41. C₂×C₅×#125	C₂²	semidirect
42. C₂×C₅×#125	C₂²	semidirect
43. C₂×C₅×#124	C₂²	semidirect
44. C₂×C₅×#124	C₂²	semidirect
45. C₂×C₅×#124	C₂²	semidirect
46. C₅×#525	C₂²	semidirect
48. C₂×C₅×#123	C₂²	semidirect
49. C₂×C₅×#123	C₂²	semidirect
50. C₂×C₅×#123	C₂²	semidirect
51. C₂×C₅×#123	C₂²	semidirect
53. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
54. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
55. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
60. C₂×C₅×#121	C₂²	semidirect
61. C₂×C₅×#121	C₂²	semidirect
62. C₂×C₅×#121	C₂²	semidirect
63. C₂×C₅×#121	C₂²	semidirect
64. C₂×C₅×#121	C₂²	semidirect
65. C₂×C₅×#121	C₂²	semidirect
66. C₂×C₅×#121	C₂²	semidirect
67. C₂×C₅×#121	C₂²	semidirect
70. C₅×#520	C₂²	semidirect
71. C₅×#518	C₂²	semidirect
72. C₂×C₄×C₅×Q₈	C₂²	semidirect
74. C₂×C₄×C₅×D₄	C₂²	semidirect
75. C₂×C₄×C₅×D₄	C₂²	semidirect
76. C₂×C₄×C₅×D₄	C₂²	semidirect
77. C₂×C₄×C₅×D₄	C₂²	semidirect
78. C₂×C₄×C₅×D₄	C₂²	semidirect
79. C₂×C₄×C₅×D₄	C₂²	semidirect
80. C₂×C₄×C₅×D₄	C₂²	semidirect
81. C₂×C₄×C₅×D₄	C₂²	semidirect
82. C₂×C₄×C₅×D₄	C₂²	semidirect
87. C₂×C₅×#117	C₂²	semidirect
88. C₂×C₅×#117	C₂²	semidirect
89. C₂×C₅×#117	C₂²	semidirect
90. C₂×C₅×#117	C₂²	semidirect
91. C₂×C₅×#117	C₂²	semidirect
92. C₂×C₅×#117	C₂²	semidirect
94. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
95. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
96. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
100. C₂²×C₄²×C₅	C₂²	semidirect
101. C₂×#3494	C₅	direct (N × H)
107. C₂×C₅×#41	C₂³	semidirect
139. C₅×C₄⋊Q₈	C₂³	semidirect
140. C₅×C₄⋊Q₈	C₂³	semidirect
141. C₅×#127	C₂³	semidirect
142. C₅×#126	C₂³	semidirect
143. C₅×#126	C₂³	semidirect
144. C₅×#125	C₂³	semidirect
145. C₅×#125	C₂³	semidirect
146. C₅×#124	C₂³	semidirect
147. C₅×#124	C₂³	semidirect
148. C₅×#124	C₂³	semidirect
150. C₅×#123	C₂³	semidirect
151. C₅×#123	C₂³	semidirect
152. C₅×#123	C₂³	semidirect
153. C₅×#123	C₂³	semidirect
155. C₅×C₂²⋊Q₈	C₂³	semidirect
156. C₅×C₂²⋊Q₈	C₂³	semidirect
157. C₅×C₂²⋊Q₈	C₂³	semidirect
162. C₅×#121	C₂³	semidirect
163. C₅×#121	C₂³	semidirect
164. C₅×#121	C₂³	semidirect
165. C₅×#121	C₂³	semidirect
166. C₅×#121	C₂³	semidirect
167. C₅×#121	C₂³	semidirect
168. C₅×#121	C₂³	semidirect
171. C₄×C₅×Q₈	C₂³	semidirect
173. C₄×C₅×D₄	C₂³	semidirect
174. C₄×C₅×D₄	C₂³	semidirect
175. C₄×C₅×D₄	C₂³	semidirect
176. C₄×C₅×D₄	C₂³	semidirect
177. C₄×C₅×D₄	C₂³	semidirect
178. C₄×C₅×D₄	C₂³	semidirect
179. C₄×C₅×D₄	C₂³	semidirect
180. C₄×C₅×D₄	C₂³	semidirect
181. C₄×C₅×D₄	C₂³	semidirect
186. C₅×#117	C₂³	semidirect
187. C₅×#117	C₂³	semidirect
188. C₅×#117	C₂³	semidirect
189. C₅×#117	C₂³	semidirect
190. C₅×#117	C₂³	semidirect
208. C₂×C₅×C₄⋊C₄	C₂³	semidirect
209. C₂×C₅×C₄⋊C₄	C₂³	semidirect
210. C₂×C₅×C₄⋊C₄	C₂³	semidirect
236. C₂×C₄²×C₅	C₂³	semidirect
237. #3494	C₂×C₅	direct (N × H)
238. C₂×#555	C₂×C₅	semidirect
239. C₂×#553	C₂×C₅	semidirect
240. C₂×#553	C₂×C₅	semidirect
241. C₂×#551	C₂×C₅	semidirect
242. C₂×#547	C₂×C₅	semidirect
243. C₂×#546	C₂×C₅	semidirect
244. C₂×#544	C₂×C₅	semidirect
245. C₂×#542	C₂×C₅	semidirect
246. C₂×#540	C₂×C₅	semidirect
247. C₂×#535	C₂×C₅	semidirect
248. C₂×#532	C₂×C₅	semidirect
249. C₂×#529	C₂×C₅	semidirect
250. C₂×#525	C₂×C₅	semidirect
251. C₂²×#121	C₂×C₅	semidirect
252. C₂×#520	C₂×C₅	semidirect
253. C₂×#518	C₂×C₅	semidirect
254. C₂²×#117	C₂×C₅	semidirect
309. C₂²×C₄×C₅	#41	semidirect
374. C₂²×#41	C₂²×C₅	semidirect
378. #555	C₂²×C₅	semidirect
379. #553	C₂²×C₅	semidirect
380. #553	C₂²×C₅	semidirect
381. #551	C₂²×C₅	semidirect
382. #547	C₂²×C₅	semidirect
383. #546	C₂²×C₅	semidirect
384. #544	C₂²×C₅	semidirect
385. #542	C₂²×C₅	semidirect
386. #540	C₂²×C₅	semidirect
387. #535	C₂²×C₅	semidirect
388. #532	C₂²×C₅	semidirect
389. C₂×C₄⋊Q₈	C₂²×C₅	semidirect
390. C₂×C₄⋊Q₈	C₂²×C₅	semidirect
391. C₂×#127	C₂²×C₅	semidirect
392. #529	C₂²×C₅	semidirect
393. C₂×#126	C₂²×C₅	semidirect
394. C₂×#126	C₂²×C₅	semidirect
395. C₂×#125	C₂²×C₅	semidirect
396. C₂×#125	C₂²×C₅	semidirect
397. C₂×#124	C₂²×C₅	semidirect
398. C₂×#124	C₂²×C₅	semidirect
399. C₂×#124	C₂²×C₅	semidirect
400. #525	C₂²×C₅	semidirect
402. C₂×#123	C₂²×C₅	semidirect
403. C₂×#123	C₂²×C₅	semidirect
404. C₂×#123	C₂²×C₅	semidirect
405. C₂×#123	C₂²×C₅	semidirect
407. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
408. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
409. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
414. C₂×#121	C₂²×C₅	semidirect
415. C₂×#121	C₂²×C₅	semidirect
416. C₂×#121	C₂²×C₅	semidirect
417. C₂×#121	C₂²×C₅	semidirect
418. C₂×#121	C₂²×C₅	semidirect
419. C₂×#121	C₂²×C₅	semidirect
420. C₂×#121	C₂²×C₅	semidirect
421. C₂×#121	C₂²×C₅	semidirect
424. #520	C₂²×C₅	semidirect
425. #518	C₂²×C₅	semidirect
426. C₂×C₄×Q₈	C₂²×C₅	semidirect
428. C₂×C₄×D₄	C₂²×C₅	semidirect
429. C₂×C₄×D₄	C₂²×C₅	semidirect
430. C₂×C₄×D₄	C₂²×C₅	semidirect
431. C₂×C₄×D₄	C₂²×C₅	semidirect
432. C₂×C₄×D₄	C₂²×C₅	semidirect
433. C₂×C₄×D₄	C₂²×C₅	semidirect
434. C₂×C₄×D₄	C₂²×C₅	semidirect
435. C₂×C₄×D₄	C₂²×C₅	semidirect
436. C₂×C₄×D₄	C₂²×C₅	semidirect
441. C₂×#117	C₂²×C₅	semidirect
442. C₂×#117	C₂²×C₅	semidirect
443. C₂×#117	C₂²×C₅	semidirect
444. C₂×#117	C₂²×C₅	semidirect
445. C₂×#117	C₂²×C₅	semidirect
446. C₂×#117	C₂²×C₅	semidirect
448. C₂²×C₄⋊C₄	C₂²×C₅	semidirect
449. C₂²×C₄⋊C₄	C₂²×C₅	semidirect
450. C₂²×C₄⋊C₄	C₂²×C₅	semidirect
454. C₂²×C₄²	C₂²×C₅	semidirect
520. C₂×C₄×C₅	C₂×#41	semidirect
538. C₂×#41	C₂³×C₅	semidirect
570. C₄⋊Q₈	C₂³×C₅	semidirect
571. C₄⋊Q₈	C₂³×C₅	semidirect
572. #127	C₂³×C₅	semidirect
573. #126	C₂³×C₅	semidirect
574. #126	C₂³×C₅	semidirect
575. #125	C₂³×C₅	semidirect
576. #125	C₂³×C₅	semidirect
577. #124	C₂³×C₅	semidirect
578. #124	C₂³×C₅	semidirect
579. #124	C₂³×C₅	semidirect
581. #123	C₂³×C₅	semidirect
582. #123	C₂³×C₅	semidirect
583. #123	C₂³×C₅	semidirect
584. #123	C₂³×C₅	semidirect
586. C₂²⋊Q₈	C₂³×C₅	semidirect
587. C₂²⋊Q₈	C₂³×C₅	semidirect
588. C₂²⋊Q₈	C₂³×C₅	semidirect
593. #121	C₂³×C₅	semidirect
594. #121	C₂³×C₅	semidirect
595. #121	C₂³×C₅	semidirect
596. #121	C₂³×C₅	semidirect
597. #121	C₂³×C₅	semidirect
598. #121	C₂³×C₅	semidirect
599. #121	C₂³×C₅	semidirect
602. C₄×Q₈	C₂³×C₅	semidirect
604. C₄×D₄	C₂³×C₅	semidirect
605. C₄×D₄	C₂³×C₅	semidirect
606. C₄×D₄	C₂³×C₅	semidirect
607. C₄×D₄	C₂³×C₅	semidirect
608. C₄×D₄	C₂³×C₅	semidirect
609. C₄×D₄	C₂³×C₅	semidirect
610. C₄×D₄	C₂³×C₅	semidirect
611. C₄×D₄	C₂³×C₅	semidirect
612. C₄×D₄	C₂³×C₅	semidirect
617. #117	C₂³×C₅	semidirect
618. #117	C₂³×C₅	semidirect
619. #117	C₂³×C₅	semidirect
620. #117	C₂³×C₅	semidirect
621. #117	C₂³×C₅	semidirect
639. C₂×C₄⋊C₄	C₂³×C₅	semidirect
640. C₂×C₄⋊C₄	C₂³×C₅	semidirect
641. C₂×C₄⋊C₄	C₂³×C₅	semidirect
667. C₂×C₄²	C₂³×C₅	semidirect
760. C₂²×C₄	C₅×#41	semidirect
829. C₂×C₅	#3494	direct (N × H)
898. C₂×C₄	C₂×C₅×#41	semidirect
911. C₅	C₂×#3494	direct (N × H)
955. C₂	C₅×#3494	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×#3494	2
C₂×C₅×#555	2
C₂×C₅×#553	2
C₂×C₅×#551	2
C₂×C₅×#547	2
C₂×C₅×#546	2
C₂×C₅×#544	2
C₂×C₅×#542	2
C₂×C₅×#540	2
C₂×C₅×#535	2
C₂×C₅×#532	2
C₂×C₅×#529	2
C₂×C₅×#525	2
C₂²×C₅×#121	2
C₂×C₅×#520	2
C₂×C₅×#518	2
C₂²×C₅×#117	2
C₂×#3494	5

Subgroups — C2×C5×#3494 #11985517

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#3494 #11985517