Subgroups — C₂×#10618056 #13007348

Order 1280.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618056	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66042	C₂	1	2	yes	maximal, complemented
4	C₂×#66039	C₂	1	2	yes	maximal, complemented
5	C₂×#66027	C₂	1	2	yes	maximal, complemented
6	C₂×#66013	C₂	1	2	yes	maximal, complemented
7	C₂×D₅×#123	C₂	1	2	yes	maximal, complemented
8	C₂×#65983	C₂	1	2	yes	maximal, complemented
9	C₂×#65968	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#65979	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#65939	C₂	1	1	yes	maximal, characteristic
12	C₂×#65936	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65915	C₂	1	2	yes	maximal, complemented
14	C₂×#65890	C₂	1	2	yes	maximal, complemented
15	C₂×#65879	C₂	1	2	yes	maximal, complemented
16	C₂×#65898	C₂	1	2	yes	maximal, complemented
17	C₂×#65863	C₂	1	2	yes	maximal, complemented
18	C₂×#65861	C₂	1	2	yes	maximal, complemented
19	C₂×#65813	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#4018	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×D₄×D₅	C₂²	1	2	yes	—
22	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
23	C₅×#529	C₂²	1	16	yes	complemented
24	C₂×C₅×#126	C₂²	1	2	yes	complemented
25	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₅×#123	C₂²	1	2	yes	complemented
28	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₅×#121	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
32	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₅×#117	C₂²	1	2	yes	complemented
34	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
35	C₂×#4092	C₂²	1	2	yes	complemented
36	C₂×#4092	C₂²	1	2	yes	complemented
37	C₂×#4085	C₂²	1	2	yes	—
38	C₂×#4083	C₂²	1	2	yes	—
39	C₂×#4081	C₂²	1	2	yes	complemented
40	C₂×#4081	C₂²	1	2	yes	complemented
41	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
42	C₂×#4076	C₂²	1	1	yes	characteristic
43	C₂×#4075	C₂²	1	2	yes	complemented
44	C₂×#4075	C₂²	1	2	yes	complemented
45	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
46	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
47	C₂²×#685	C₂²	1	1	yes	characteristic
48	C₂²×#685	C₂²	1	1	yes	characteristic
49	C₂²×#685	C₂²	1	2	yes	complemented
50	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
51	C₂×#4070	C₂²	1	2	yes	complemented
52	C₂²×#683	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#683	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
55	#66042	C₂²	1	32	yes	complemented
56	#66039	C₂²	1	32	yes	complemented
57	#66027	C₂²	1	32	yes	complemented
58	#66013	C₂²	1	32	yes	complemented
59	D₅×#123	C₂²	1	32	yes	complemented
60	#65983	C₂²	1	32	yes	complemented
61	#65979	C₂²	1	16	yes	complemented
62	#65968	C₂²	1	16	yes	complemented
63	#65939	C₂²	1	16	yes	—
64	#65936	C₂²	1	16	yes	complemented
65	#65915	C₂²	1	32	yes	complemented
66	#65898	C₂²	1	32	yes	complemented
67	#65890	C₂²	1	32	yes	complemented
68	#65879	C₂²	1	32	yes	complemented
69	#65863	C₂²	1	32	yes	complemented
70	#65861	C₂²	1	32	yes	complemented
71	C₂×#4044	C₂²	1	2	yes	complemented
72	C₂×#4044	C₂²	1	2	yes	complemented
73	C₂×#4043	C₂²	1	2	yes	complemented
74	C₂×#4042	C₂²	1	2	yes	complemented
75	C₂×#4042	C₂²	1	2	yes	complemented
76	C₂×#4042	C₂²	1	2	yes	complemented
77	C₂×#4040	C₂²	1	2	yes	—
78	C₂×#4040	C₂²	1	2	yes	—
79	C₂×#4040	C₂²	1	2	yes	—
80	C₂×#4040	C₂²	1	2	yes	complemented
81	C₂×#4039	C₂²	1	2	yes	—
82	C₂×#4038	C₂²	1	2	yes	complemented
83	C₂×#4038	C₂²	1	2	yes	complemented
84	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
85	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
86	C₂×#4036	C₂²	1	2	yes	complemented
87	C₂×#4035	C₂²	1	2	yes	complemented
88	C₂×#4035	C₂²	1	2	yes	complemented
89	C₂×#4035	C₂²	1	2	yes	complemented
90	C₂×#4033	C₂²	1	2	yes	complemented
91	C₂×#4032	C₂²	1	2	yes	complemented
92	C₂×#4031	C₂²	1	2	yes	complemented
93	C₂×#4029	C₂²	1	2	yes	—
94	C₂×#4029	C₂²	1	2	yes	—
95	C₂×#4029	C₂²	1	2	yes	—
96	C₂×#4029	C₂²	1	2	yes	complemented
97	C₂×#4028	C₂²	1	2	yes	—
98	C₂×#4027	C₂²	1	2	yes	—
99	C₂×#4027	C₂²	1	2	yes	complemented
100	C₂×#4027	C₂²	1	2	yes	complemented
101	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
102	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
103	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
104	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₂×#4025	C₂²	1	2	yes	complemented
106	C₂×#4025	C₂²	1	2	yes	complemented
107	C₂×#4025	C₂²	1	2	yes	complemented
108	C₂×#4024	C₂²	1	2	yes	complemented
109	C₂×#4024	C₂²	1	2	yes	complemented
110	C₂×#4023	C₂²	1	2	yes	complemented
111	#65813	C₂²	1	16	yes	complemented
112	C₂×#4022	C₂²	1	2	yes	complemented
113	C₂×#4022	C₂²	1	2	yes	complemented
114	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×D₂₀	C₂²	1	2	yes	—
116	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4018	C₂²	1	2	yes	complemented
118	C₂×#4018	C₂²	1	2	yes	complemented
119	C₂×#4018	C₂²	1	2	yes	complemented
120	C₂×#4018	C₂²	1	2	yes	complemented
121	C₂×#4018	C₂²	1	2	yes	complemented
122	C₂×#4018	C₂²	1	2	yes	complemented
123	C₂×#4018	C₂²	1	16	yes	complemented
124	C₂×#4016	C₂²	1	1	yes	characteristic, complemented
125	C₂×#4016	C₂²	1	2	yes	complemented
126	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
127	C₂×#3491	—	5	1	no	maximal, Sylow
128	C₂⁴×D₅	C₂³	1	2	yes	—
129	C₂⁴×D₅	C₂³	1	1	yes	characteristic
130	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
131	C₂²×C₅×D₄	C₂³	1	2	yes	—
132	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₅	C₂³	1	2	yes	—
137	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
138	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
139	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
140	C₂³×Dic₅	C₂³	1	1	yes	characteristic
141	C₂³×Dic₅	C₂³	1	2	yes	—
142	C₂³×Dic₅	C₂³	1	1	yes	characteristic
143	C₂³×Dic₅	C₂³	1	1	yes	characteristic
144	C₂×D₄×D₅	—	2	16	no	—
145	C₂×D₄×D₅	C₂³	1	16	yes	—
146	C₂²×D₂₀	C₂³	1	2	yes	—
147	C₂²×D₂₀	C₂³	1	1	yes	characteristic
148	C₂²×C₄×D₅	—	2	8	no	—
149	C₂²×C₄×D₅	C₂³	1	2	yes	—
150	C₂²×C₄×D₅	C₂³	1	2	yes	—
151	C₂²×C₄×D₅	C₂³	1	8	yes	—
152	C₂²×C₄×D₅	C₂³	1	2	yes	—
153	C₂²×C₄×D₅	C₂³	1	2	yes	—
154	C₂²×C₄×D₅	C₂³	1	2	yes	—
155	C₂²×C₄×D₅	C₂³	1	2	yes	—
156	C₂²×C₄×D₅	C₂³	1	2	yes	—
157	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
158	C₂²×Dic₁₀	C₂³	1	2	yes	—
159	C₅×#126	C₂³	1	16	yes	complemented
160	C₅×#125	C₂³	1	8	yes	complemented
161	C₅×#124	C₂³	1	8	yes	complemented
162	C₅×#123	C₂³	1	16	yes	complemented
163	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
164	C₅×#121	C₂³	1	8	yes	—
165	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
166	C₄×C₅×D₄	C₂³	1	16	yes	complemented
167	C₄×C₅×D₄	C₂³	1	8	yes	complemented
168	C₅×#117	C₂³	1	16	yes	complemented
169	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
175	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
181	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
182	C₂×C₄²×C₅	C₂³	1	2	yes	—
183	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
184	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₅	C₂³	1	8	yes	complemented
186	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
187	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
188	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
189	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
190	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
191	#4092	C₂³	1	16	yes	complemented
192	#4092	C₂³	1	16	yes	complemented
193	#4085	C₂³	1	16	yes	—
194	#4083	C₂³	1	16	yes	—
195	#4081	C₂³	1	16	yes	complemented
196	#4081	C₂³	1	16	yes	complemented
197	D₄×Dic₅	C₂³	1	16	yes	complemented
198	#4076	C₂³	1	8	yes	—
199	#4075	C₂³	1	16	yes	complemented
200	#4075	C₂³	1	16	yes	complemented
201	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
202	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
203	C₂×#685	C₂³	1	2	yes	—
204	C₂×#685	C₂³	1	2	yes	—
205	C₂×#685	C₂³	1	2	yes	—
206	C₂×#685	C₂³	1	2	yes	—
207	C₂×#685	C₂³	1	8	yes	—
208	C₂×#685	C₂³	1	8	yes	—
209	C₂×#685	C₂³	1	2	yes	—
210	C₂×#685	C₂³	1	2	yes	—
211	C₂×#685	C₂³	1	2	yes	—
212	C₂×#685	C₂³	1	2	yes	—
213	C₂×#685	C₂³	1	2	yes	—
214	C₂×#685	C₂³	1	2	yes	—
215	C₂×#685	C₂³	1	2	yes	—
216	C₂×#685	C₂³	1	2	yes	—
217	C₂×#685	C₂³	1	2	yes	—
218	C₂×#685	C₂³	1	2	yes	—
219	C₂×#685	C₂³	1	16	yes	complemented
220	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
223	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
224	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
225	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
226	#4070	C₂³	1	8	yes	complemented
227	#4070	C₂³	1	16	yes	complemented
228	C₂×#683	C₂³	1	2	yes	—
229	C₂×#683	C₂³	1	2	yes	—
230	C₂×#683	C₂³	1	2	yes	—
231	C₂×#683	C₂³	1	2	yes	—
232	C₂×#683	C₂³	1	2	yes	—
233	C₂×#683	C₂³	1	2	yes	—
234	C₂×#683	C₂³	1	2	yes	—
235	C₂×#683	C₂³	1	2	yes	—
236	C₂×#683	C₂³	1	2	yes	—
237	C₂×#683	C₂³	1	2	yes	—
238	C₂×#683	C₂³	1	2	yes	—
239	C₂×#683	C₂³	1	2	yes	—
240	C₂×#683	C₂³	1	2	yes	—
241	C₂×#683	C₂³	1	2	yes	—
242	C₂×#683	C₂³	1	8	yes	complemented
243	C₂×#683	C₂³	1	8	yes	complemented
244	C₂×C₄×Dic₅	C₂³	1	2	yes	—
245	C₂×C₄×Dic₅	C₂³	1	2	yes	—
246	C₂×C₄×Dic₅	C₂³	1	2	yes	—
247	C₂×C₄×Dic₅	C₂³	1	2	yes	—
248	C₂×C₄×Dic₅	C₂³	1	2	yes	—
249	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
250	#4044	C₂³	1	16	yes	complemented
251	#4044	C₂³	1	16	yes	complemented
252	#4043	C₂³	1	16	yes	complemented
253	#4042	C₂³	1	16	yes	complemented
254	#4042	C₂³	1	16	yes	complemented
255	#4042	C₂³	1	16	yes	complemented
256	#4040	C₂³	1	16	yes	—
257	#4040	C₂³	1	16	yes	—
258	#4040	C₂³	1	16	yes	—
259	#4040	C₂³	1	16	yes	complemented
260	#4039	C₂³	1	16	yes	—
261	#4038	C₂³	1	16	yes	complemented
262	#4038	C₂³	1	16	yes	complemented
263	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
264	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
265	#4036	C₂³	1	16	yes	complemented
266	#4035	C₂³	1	16	yes	complemented
267	#4035	C₂³	1	16	yes	complemented
268	#4035	C₂³	1	16	yes	complemented
269	#4033	C₂³	1	16	yes	complemented
270	#4032	C₂³	1	16	yes	complemented
271	#4031	C₂³	1	16	yes	complemented
272	#4029	C₂³	1	16	yes	—
273	#4029	C₂³	1	16	yes	—
274	#4029	C₂³	1	16	yes	—
275	#4029	C₂³	1	16	yes	complemented
276	#4028	C₂³	1	16	yes	—
277	#4027	C₂³	1	16	yes	—
278	#4027	C₂³	1	16	yes	complemented
279	#4027	C₂³	1	16	yes	complemented
280	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
281	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
282	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
283	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
284	#4025	C₂³	1	16	yes	complemented
285	#4025	C₂³	1	16	yes	complemented
286	#4025	C₂³	1	16	yes	complemented
287	#4024	C₂³	1	16	yes	complemented
288	#4024	C₂³	1	16	yes	complemented
289	#4023	C₂³	1	16	yes	complemented
290	#4022	C₂³	1	16	yes	complemented
291	#4022	C₂³	1	16	yes	complemented
292	#4021	C₂³	1	8	yes	complemented
293	C₄×D₂₀	C₂³	1	16	yes	—
294	C₄×D₂₀	C₂³	1	8	yes	complemented
295	#4018	C₂³	1	16	yes	complemented
296	#4018	C₂³	1	16	yes	complemented
297	#4018	C₂³	1	16	yes	complemented
298	#4018	C₂³	1	16	yes	complemented
299	#4018	C₂³	1	16	yes	complemented
300	#4018	C₂³	1	16	yes	complemented
301	#4016	C₂³	1	8	yes	complemented
302	#4016	C₂³	1	16	yes	complemented
303	C₄×Dic₁₀	C₂³	1	8	yes	complemented
304	#3491	—	5	32	no	—
305	C₂×#552	—	5	2	no	—
306	C₂×#552	—	5	2	no	—
307	C₂×#552	—	5	2	no	—
308	C₂×#552	—	5	2	no	—
309	C₂×#551	—	5	2	no	—
310	C₂×#551	—	5	2	no	—
311	C₂×#551	—	5	2	no	—
312	C₂×#551	—	5	2	no	—
313	C₂×#543	—	5	1	no	—
314	C₂×#539	—	5	1	no	—
315	C₂×#539	—	5	1	no	—
316	C₂×#539	—	5	2	no	—
317	C₂×#534	—	5	1	no	—
318	C₂×#529	—	5	1	no	—
319	C₂×#529	—	5	2	no	—
320	C₂×#529	D₅	1	1	yes	characteristic, complemented
321	C₂²×#123	—	5	2	no	—
322	C₂×#518	—	5	2	no	—
323	C₂²×#117	—	5	1	no	—
324	C₂⁴×C₅	C₂⁴	1	2	yes	—
325	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
326	C₂³×D₅	—	2	8	no	—
327	C₂³×D₅	—	4	2	no	—
328	C₂³×D₅	—	4	2	no	—
329	C₂³×D₅	—	4	4	no	—
330	C₂³×D₅	—	4	4	no	—
331	C₂³×D₅	#41	1	8	yes	—
332	C₂³×D₅	C₂⁴	1	2	yes	—
333	C₂³×D₅	C₂⁴	1	2	yes	—
334	C₂³×D₅	C₂⁴	1	8	yes	—
335	C₂³×D₅	C₂⁴	1	4	yes	—
336	C₂×C₅×Q₈	—	4	2	no	—
337	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
338	C₂×C₅×D₄	—	2	8	no	—
339	C₂×C₅×D₄	—	4	2	no	—
340	C₂×C₅×D₄	C₂⁴	1	8	yes	—
341	C₂×C₅×D₄	C₂⁴	1	4	yes	—
342	C₂²×C₄×C₅	—	2	4	no	—
343	C₂²×C₄×C₅	—	4	4	no	—
344	C₂²×C₄×C₅	—	4	2	no	—
345	C₂²×C₄×C₅	—	4	2	no	—
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	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
353	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
355	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
357	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
359	C₂×C₂²⋊D₅	—	2	8	no	—
360	C₂×C₂²⋊D₅	—	2	8	no	—
361	C₂×C₂²⋊D₅	—	4	4	no	—
362	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
363	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
364	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
365	C₂²×Dic₅	—	2	4	no	—
366	C₂²×Dic₅	—	4	4	no	—
367	C₂²×Dic₅	—	4	2	no	—
368	C₂²×Dic₅	—	4	2	no	—
369	C₂²×Dic₅	C₂⁴	1	2	yes	—
370	C₂²×Dic₅	C₂⁴	1	2	yes	—
371	C₂²×Dic₅	C₂⁴	1	2	yes	—
372	C₂²×Dic₅	C₂⁴	1	2	yes	—
373	C₂²×Dic₅	C₂⁴	1	2	yes	—
374	C₂²×Dic₅	C₂⁴	1	2	yes	—
375	C₂²×Dic₅	C₂⁴	1	4	yes	—
376	C₂²×Dic₅	C₂⁴	1	8	yes	—
377	C₂²×Dic₅	C₂⁴	1	4	yes	—
378	C₂²×Dic₅	C₂⁴	1	4	yes	—
379	D₄×D₅	—	2	64	no	—
380	C₂×D₂₀	—	2	8	no	—
381	C₂×D₂₀	—	4	2	no	—
382	C₂×D₂₀	C₂⁴	1	8	yes	—
383	C₂×D₂₀	C₂⁴	1	4	yes	—
384	C₂×C₄×D₅	—	2	8	no	—
385	C₂×C₄×D₅	—	2	8	no	—
386	C₂×C₄×D₅	—	2	32	no	—
387	C₂×C₄×D₅	—	2	8	no	—
388	C₂×C₄×D₅	—	4	4	no	—
389	C₂×C₄×D₅	—	4	4	no	—
390	C₂×C₄×D₅	—	4	4	no	—
391	C₂×C₄×D₅	—	4	4	no	—
392	C₂×C₄×D₅	C₂⁴	1	8	yes	—
393	C₂×C₄×D₅	C₂⁴	1	8	yes	—
394	C₂×C₄×D₅	C₂⁴	1	8	yes	—
395	C₂×C₄×D₅	C₂⁴	1	8	yes	—
396	C₂×C₄×D₅	C₂⁴	1	8	yes	—
397	C₂×C₄×D₅	C₂⁴	1	8	yes	—
398	C₂×C₄×D₅	C₂⁴	1	8	yes	—
399	C₂×Dic₁₀	—	4	4	no	—
400	C₂×Dic₁₀	—	4	2	no	—
401	C₂×Dic₁₀	C₂⁴	1	4	yes	—
402	C₂×Dic₁₀	C₂⁴	1	8	yes	—
403	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
404	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
405	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
406	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
407	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
408	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
409	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
410	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
411	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
412	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
413	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
414	C₄²×C₅	C₂⁴	1	4	yes	—
415	C₄²×C₅	C₂⁴	1	4	yes	—
416	C₄²×C₅	C₂⁴	1	4	yes	—
417	C₄²×C₅	C₂⁴	1	4	yes	—
418	C₄²×C₅	C₂⁴	1	8	yes	—
419	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
420	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
421	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
422	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
423	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
424	#685	C₂⁴	1	8	yes	—
425	#685	C₂⁴	1	8	yes	—
426	#685	C₂⁴	1	8	yes	—
427	#685	C₂⁴	1	8	yes	—
428	#685	C₂⁴	1	8	yes	—
429	#685	C₂⁴	1	8	yes	—
430	#685	C₂⁴	1	8	yes	—
431	#685	C₂⁴	1	8	yes	—
432	#685	C₂⁴	1	8	yes	—
433	#685	C₂⁴	1	8	yes	—
434	#685	C₂⁴	1	8	yes	—
435	#685	C₂⁴	1	8	yes	—
436	#685	C₂⁴	1	8	yes	—
437	#685	C₂⁴	1	8	yes	—
438	C₄⋊Dic₅	C₂⁴	1	4	yes	—
439	C₄⋊Dic₅	C₂⁴	1	4	yes	—
440	C₄⋊Dic₅	C₂⁴	1	8	yes	—
441	C₄⋊Dic₅	C₂⁴	1	8	yes	—
442	C₄⋊Dic₅	C₂⁴	1	8	yes	—
443	C₄⋊Dic₅	C₂⁴	1	8	yes	—
444	#683	C₂⁴	1	8	yes	—
445	#683	C₂⁴	1	8	yes	—
446	#683	C₂⁴	1	8	yes	—
447	#683	C₂⁴	1	8	yes	—
448	#683	C₂⁴	1	8	yes	—
449	#683	C₂⁴	1	8	yes	—
450	#683	C₂⁴	1	8	yes	—
451	#683	C₂⁴	1	8	yes	—
452	#683	C₂⁴	1	8	yes	—
453	#683	C₂⁴	1	8	yes	—
454	#683	C₂⁴	1	8	yes	—
455	#683	C₂⁴	1	8	yes	—
456	#683	C₂⁴	1	8	yes	—
457	#683	C₂⁴	1	8	yes	—
458	C₄×Dic₅	C₂⁴	1	8	yes	—
459	C₄×Dic₅	C₂⁴	1	8	yes	—
460	C₄×Dic₅	C₂⁴	1	8	yes	—
461	C₄×Dic₅	C₂⁴	1	8	yes	—
462	C₄×Dic₅	C₂⁴	1	8	yes	—
463	C₂³×D₄	—	5	2	no	—
464	C₂⁴×C₄	—	5	1	no	—
465	#552	—	5	32	no	—
466	#552	—	5	32	no	—
467	#552	—	5	32	no	—
468	#552	—	5	32	no	—
469	#551	—	5	32	no	—
470	#551	—	5	32	no	—
471	#551	—	5	32	no	—
472	#551	—	5	32	no	—
473	#543	—	5	16	no	—
474	#539	—	5	16	no	—
475	#539	—	5	16	no	—
476	#539	—	5	32	no	—
477	#534	—	5	16	no	—
478	#529	—	5	32	no	—
479	#529	—	5	16	no	—
480	#529	C₂×D₅	1	16	yes	complemented
481	C₂×#126	—	5	2	no	—
482	C₂×#126	—	5	2	no	—
483	C₂×#126	—	5	2	no	—
484	C₂×#126	—	5	2	no	—
485	C₂×#126	—	5	2	no	—
486	C₂×#126	—	5	2	no	—
487	C₂×#126	—	5	2	no	—
488	C₂×#126	C₂×D₅	1	2	yes	complemented
489	C₂×#125	—	5	2	no	—
490	C₂×#125	—	5	2	no	—
491	C₂×#125	—	5	2	no	—
492	C₂×#125	—	5	2	no	—
493	C₂×#125	—	5	1	no	—
494	C₂×#125	—	5	2	no	—
495	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
496	C₂×#124	—	5	2	no	—
497	C₂×#124	—	5	1	no	—
498	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
499	C₂×#123	—	5	2	no	—
500	C₂×#123	—	5	2	no	—
501	C₂×#123	—	5	2	no	—
502	C₂×#123	—	5	2	no	—
503	C₂×#123	—	5	32	no	—
504	C₂×#123	—	5	2	no	—
505	C₂×#123	—	5	2	no	—
506	C₂×#123	—	5	2	no	—
507	C₂×#123	—	5	2	no	—
508	C₂×#123	—	5	2	no	—
509	C₂×#123	—	5	2	no	—
510	C₂×#123	—	5	2	no	—
511	C₂×#123	—	5	2	no	—
512	C₂×#123	—	5	2	no	—
513	C₂×#123	C₂×D₅	1	2	yes	complemented
514	C₂×C₂²⋊Q₈	—	5	2	no	—
515	C₂×C₂²⋊Q₈	—	5	2	no	—
516	C₂×C₂²⋊Q₈	—	5	1	no	—
517	C₂×C₂²⋊Q₈	—	5	2	no	—
518	C₂×C₂²⋊Q₈	—	5	2	no	—
519	C₂×C₂²⋊Q₈	—	5	2	no	—
520	C₂×C₂²⋊Q₈	—	5	2	no	—
521	C₂×C₂²⋊Q₈	—	5	2	no	—
522	C₂×C₂²⋊Q₈	—	5	2	no	—
523	C₂×C₂²⋊Q₈	—	5	2	no	—
524	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
525	C₂×#121	—	5	2	no	—
526	C₂×#121	—	5	1	no	—
527	C₂×#121	C₂×D₅	1	1	yes	characteristic
528	C₂×#120	—	5	2	no	—
529	C₂×#120	—	5	2	no	—
530	#518	—	5	32	no	—
531	C₂×C₄×Q₈	—	5	2	no	—
532	C₂×C₄×Q₈	—	5	1	no	—
533	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
534	C₂×C₄×D₄	—	5	2	no	—
535	C₂×C₄×D₄	—	5	2	no	—
536	C₂×C₄×D₄	—	5	2	no	—
537	C₂×C₄×D₄	—	5	2	no	—
538	C₂×C₄×D₄	—	5	2	no	—
539	C₂×C₄×D₄	—	5	2	no	—
540	C₂×C₄×D₄	—	5	2	no	—
541	C₂×C₄×D₄	—	5	2	no	—
542	C₂×C₄×D₄	—	5	1	no	—
543	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
544	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
545	C₂×#117	—	5	2	no	—
546	C₂×#117	—	5	2	no	—
547	C₂×#117	—	5	2	no	—
548	C₂×#117	—	5	2	no	—
549	C₂×#117	—	5	2	no	—
550	C₂×#117	—	5	2	no	—
551	C₂×#117	—	5	2	no	—
552	C₂×#117	—	5	2	no	—
553	C₂×#117	—	5	2	no	—
554	C₂×#117	—	5	16	no	—
555	C₂×#117	C₂×D₅	1	2	yes	complemented
556	C₂²×C₄⋊C₄	—	5	1	no	—
557	C₂²×C₄⋊C₄	—	5	1	no	—
558	C₂²×C₄⋊C₄	—	5	2	no	—
559	C₂²×C₄⋊C₄	—	5	2	no	—
560	C₂²×C₂²⋊C₄	—	5	1	no	—
561	C₂²×C₂²⋊C₄	—	5	1	no	—
562	C₂²×C₂²⋊C₄	—	5	2	no	—
563	C₂²×C₂²⋊C₄	—	5	2	no	—
564	C₂²×C₂²⋊C₄	—	5	2	no	—
565	C₂²×C₂²⋊C₄	—	5	2	no	—
566	C₂²×C₂²⋊C₄	—	5	2	no	—
567	C₂²×C₄²	—	5	1	no	—
568	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic, complemented
569	C₂³×C₅	—	2	2	no	—
570	C₂³×C₅	—	2	2	no	—
571	C₂³×C₅	—	2	4	no	—
572	C₂³×C₅	—	2	4	no	—
573	C₂³×C₅	—	2	4	no	—
574	C₂³×C₅	C₂×#41	1	4	yes	—
575	C₂³×C₅	C₂⁵	1	4	yes	—
576	C₂³×C₅	C₂⁵	1	2	yes	—
577	C₂³×C₅	C₂⁵	1	1	yes	characteristic
578	C₂²×D₅	—	2	4	no	—
579	C₂²×D₅	—	2	4	no	—
580	C₂²×D₅	—	2	4	no	—
581	C₂²×D₅	—	2	4	no	—
582	C₂²×D₅	—	2	4	no	—
583	C₂²×D₅	—	2	16	no	—
584	C₂²×D₅	—	4	16	no	—
585	C₂²×D₅	—	4	4	no	—
586	C₂²×D₅	—	4	4	no	—
587	C₂²×D₅	—	4	8	no	—
588	C₂²×D₅	—	4	8	no	—
589	C₂²×D₅	—	8	16	no	—
590	C₂²×D₅	C₂×#41	1	8	yes	—
591	C₂²×D₅	C₂×#41	1	16	yes	—
592	C₂²×D₅	C₂⁵	1	4	yes	—
593	C₂²×D₅	C₂⁵	1	4	yes	—
594	C₅×Q₈	—	4	4	no	—
595	C₅×D₄	—	2	16	no	—
596	C₅×D₄	—	4	4	no	—
597	C₂×C₄×C₅	—	2	8	no	—
598	C₂×C₄×C₅	—	2	2	no	—
599	C₂×C₄×C₅	—	2	2	no	—
600	C₂×C₄×C₅	—	2	4	no	—
601	C₂×C₄×C₅	—	2	4	no	—
602	C₂×C₄×C₅	—	2	2	no	—
603	C₂×C₄×C₅	—	2	2	no	—
604	C₂×C₄×C₅	—	2	4	no	—
605	C₂×C₄×C₅	—	2	2	no	—
606	C₂×C₄×C₅	—	2	2	no	—
607	C₂×C₄×C₅	—	4	8	no	—
608	C₂×C₄×C₅	—	4	4	no	—
609	C₂×C₄×C₅	—	4	4	no	—
610	C₂×C₄×C₅	C₂⁵	1	2	yes	—
611	C₂×C₄×C₅	C₂⁵	1	2	yes	—
612	C₂×C₄×C₅	C₂⁵	1	2	yes	—
613	C₂×C₄×C₅	C₂⁵	1	4	yes	—
614	C₂×C₄×C₅	C₂⁵	1	4	yes	—
615	C₂×C₄×C₅	C₂⁵	1	2	yes	—
616	C₂×C₄×C₅	C₂⁵	1	2	yes	—
617	C₂×C₄×C₅	C₂⁵	1	2	yes	—
618	C₂×C₄×C₅	C₂⁵	1	4	yes	—
619	C₂²⋊D₅	—	2	16	no	—
620	C₂²⋊D₅	—	2	16	no	—
621	C₂²⋊D₅	—	4	8	no	—
622	C₂×Dic₅	—	2	8	no	—
623	C₂×Dic₅	—	2	4	no	—
624	C₂×Dic₅	—	2	4	no	—
625	C₂×Dic₅	—	2	4	no	—
626	C₂×Dic₅	—	2	4	no	—
627	C₂×Dic₅	—	2	4	no	—
628	C₂×Dic₅	—	2	4	no	—
629	C₂×Dic₅	—	4	8	no	—
630	C₂×Dic₅	—	4	4	no	—
631	C₂×Dic₅	—	4	4	no	—
632	C₂×Dic₅	C₂⁵	1	4	yes	—
633	C₂×Dic₅	C₂⁵	1	4	yes	—
634	C₂×Dic₅	C₂⁵	1	4	yes	—
635	C₂×Dic₅	C₂⁵	1	4	yes	—
636	C₂×Dic₅	C₂⁵	1	4	yes	—
637	C₂×Dic₅	C₂⁵	1	4	yes	—
638	D₂₀	—	2	16	no	—
639	D₂₀	—	4	4	no	—
640	C₄×D₅	—	2	16	no	—
641	C₄×D₅	—	2	16	no	—
642	C₄×D₅	—	2	16	no	—
643	C₄×D₅	—	4	8	no	—
644	C₄×D₅	—	4	8	no	—
645	C₄×D₅	—	4	8	no	—
646	C₄×D₅	—	4	8	no	—
647	Dic₁₀	—	4	8	no	—
648	Dic₁₀	—	4	4	no	—
649	C₂⁵	—	5	1	no	—
650	C₂⁵	—	5	2	no	—
651	C₂²×Q₈	—	5	2	no	—
652	C₂²×Q₈	—	5	1	no	—
653	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
654	C₂²×D₄	—	5	2	no	—
655	C₂²×D₄	—	5	2	no	—
656	C₂²×D₄	—	5	2	no	—
657	C₂²×D₄	—	5	16	no	—
658	C₂²×D₄	—	5	2	no	—
659	C₂²×D₄	—	5	1	no	—
660	C₂²×D₄	—	10	16	no	—
661	C₂²×D₄	C₂²×D₅	1	2	yes	—
662	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
663	C₂³×C₄	—	5	1	no	—
664	C₂³×C₄	—	5	1	no	—
665	C₂³×C₄	—	5	1	no	—
666	C₂³×C₄	—	5	2	no	—
667	C₂³×C₄	—	5	2	no	—
668	C₂³×C₄	—	5	2	no	—
669	C₂³×C₄	—	5	2	no	—
670	C₂³×C₄	—	5	8	no	—
671	C₂³×C₄	—	5	2	no	—
672	C₂³×C₄	—	5	2	no	—
673	C₂³×C₄	—	5	2	no	—
674	C₂³×C₄	—	5	2	no	—
675	C₂³×C₄	—	10	8	no	—
676	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
677	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
678	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
679	C₂³×C₄	C₂²×D₅	1	2	yes	—
680	#126	—	5	16	no	—
681	#126	—	5	16	no	—
682	#126	—	5	16	no	—
683	#126	—	5	16	no	—
684	#126	—	5	16	no	—
685	#126	—	5	16	no	—
686	#126	—	5	16	no	—
687	#126	C₂²×D₅	1	16	yes	complemented
688	#125	—	5	16	no	—
689	#125	—	5	16	no	—
690	#125	—	5	16	no	—
691	#125	—	5	16	no	—
692	#125	—	5	8	no	—
693	#125	—	5	16	no	—
694	#125	C₂²×D₅	1	8	yes	complemented
695	#124	—	5	16	no	—
696	#124	—	5	8	no	—
697	#124	C₂²×D₅	1	8	yes	complemented
698	#123	—	5	16	no	—
699	#123	—	5	16	no	—
700	#123	—	5	16	no	—
701	#123	—	5	16	no	—
702	#123	—	5	16	no	—
703	#123	—	5	16	no	—
704	#123	—	5	16	no	—
705	#123	—	5	16	no	—
706	#123	—	5	16	no	—
707	#123	—	5	16	no	—
708	#123	—	5	16	no	—
709	#123	—	5	16	no	—
710	#123	—	5	16	no	—
711	#123	C₂²×D₅	1	16	yes	complemented
712	C₂²⋊Q₈	—	5	16	no	—
713	C₂²⋊Q₈	—	5	16	no	—
714	C₂²⋊Q₈	—	5	8	no	—
715	C₂²⋊Q₈	—	5	16	no	—
716	C₂²⋊Q₈	—	5	16	no	—
717	C₂²⋊Q₈	—	5	16	no	—
718	C₂²⋊Q₈	—	5	16	no	—
719	C₂²⋊Q₈	—	5	16	no	—
720	C₂²⋊Q₈	—	5	16	no	—
721	C₂²⋊Q₈	—	5	16	no	—
722	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
723	#121	—	5	16	no	—
724	#121	—	5	8	no	—
725	#121	C₂²×D₅	1	8	yes	—
726	#120	—	5	16	no	—
727	#120	—	5	16	no	—
728	C₄×Q₈	—	5	16	no	—
729	C₄×Q₈	—	5	8	no	—
730	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
731	C₄×D₄	—	5	16	no	—
732	C₄×D₄	—	5	16	no	—
733	C₄×D₄	—	5	16	no	—
734	C₄×D₄	—	5	16	no	—
735	C₄×D₄	—	5	16	no	—
736	C₄×D₄	—	5	16	no	—
737	C₄×D₄	—	5	16	no	—
738	C₄×D₄	—	5	16	no	—
739	C₄×D₄	—	5	8	no	—
740	C₄×D₄	C₂²×D₅	1	16	yes	complemented
741	C₄×D₄	C₂²×D₅	1	8	yes	complemented
742	#117	—	5	16	no	—
743	#117	—	5	16	no	—
744	#117	—	5	16	no	—
745	#117	—	5	16	no	—
746	#117	—	5	16	no	—
747	#117	—	5	16	no	—
748	#117	—	5	16	no	—
749	#117	—	5	16	no	—
750	#117	—	5	16	no	—
751	#117	C₂²×D₅	1	16	yes	complemented
752	C₂×C₄⋊C₄	—	5	2	no	—
753	C₂×C₄⋊C₄	—	5	2	no	—
754	C₂×C₄⋊C₄	—	5	2	no	—
755	C₂×C₄⋊C₄	—	5	2	no	—
756	C₂×C₄⋊C₄	—	5	8	no	—
757	C₂×C₄⋊C₄	—	5	8	no	—
758	C₂×C₄⋊C₄	—	5	2	no	—
759	C₂×C₄⋊C₄	—	5	2	no	—
760	C₂×C₄⋊C₄	—	5	2	no	—
761	C₂×C₄⋊C₄	—	5	2	no	—
762	C₂×C₄⋊C₄	—	5	2	no	—
763	C₂×C₄⋊C₄	—	5	2	no	—
764	C₂×C₄⋊C₄	—	5	2	no	—
765	C₂×C₄⋊C₄	—	5	2	no	—
766	C₂×C₄⋊C₄	—	5	2	no	—
767	C₂×C₄⋊C₄	—	5	2	no	—
768	C₂×C₄⋊C₄	—	5	2	no	—
769	C₂×C₄⋊C₄	—	5	2	no	—
770	C₂×C₄⋊C₄	—	5	2	no	—
771	C₂×C₄⋊C₄	—	5	1	no	—
772	C₂×C₄⋊C₄	—	5	2	no	—
773	C₂×C₄⋊C₄	—	5	1	no	—
774	C₂×C₄⋊C₄	—	5	16	no	—
775	C₂×C₄⋊C₄	—	5	16	no	—
776	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
777	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
778	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
779	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
780	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	—	5	2	no	—
783	C₂×C₂²⋊C₄	—	5	2	no	—
784	C₂×C₂²⋊C₄	—	5	2	no	—
785	C₂×C₂²⋊C₄	—	5	2	no	—
786	C₂×C₂²⋊C₄	—	5	2	no	—
787	C₂×C₂²⋊C₄	—	5	2	no	—
788	C₂×C₂²⋊C₄	—	5	2	no	—
789	C₂×C₂²⋊C₄	—	5	2	no	—
790	C₂×C₂²⋊C₄	—	5	2	no	—
791	C₂×C₂²⋊C₄	—	5	8	no	—
792	C₂×C₂²⋊C₄	—	5	2	no	—
793	C₂×C₂²⋊C₄	—	5	2	no	—
794	C₂×C₂²⋊C₄	—	5	8	no	—
795	C₂×C₂²⋊C₄	—	5	2	no	—
796	C₂×C₂²⋊C₄	—	5	2	no	—
797	C₂×C₂²⋊C₄	—	5	2	no	—
798	C₂×C₂²⋊C₄	—	5	2	no	—
799	C₂×C₂²⋊C₄	—	5	16	no	—
800	C₂×C₂²⋊C₄	—	5	2	no	—
801	C₂×C₂²⋊C₄	—	5	2	no	—
802	C₂×C₂²⋊C₄	—	5	2	no	—
803	C₂×C₂²⋊C₄	—	5	2	no	—
804	C₂×C₂²⋊C₄	—	5	16	no	—
805	C₂×C₂²⋊C₄	—	5	16	no	—
806	C₂×C₂²⋊C₄	—	5	16	no	—
807	C₂×C₂²⋊C₄	—	5	16	no	—
808	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
813	C₂×C₄²	—	5	2	no	—
814	C₂×C₄²	—	5	2	no	—
815	C₂×C₄²	—	5	2	no	—
816	C₂×C₄²	—	5	2	no	—
817	C₂×C₄²	—	5	2	no	—
818	C₂×C₄²	—	5	8	no	—
819	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
820	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
821	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
822	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
823	C₂×C₄²	C₂²×D₅	1	2	yes	—
824	C₂×C₄²	C₂²×D₅	1	8	yes	complemented
825	C₂²×C₅	—	2	2	no	—
826	C₂²×C₅	—	2	2	no	—
827	C₂²×C₅	—	2	8	no	—
828	C₂²×C₅	—	2	4	no	—
829	C₂²×C₅	—	2	4	no	—
830	C₂²×C₅	—	2	4	no	—
831	C₂²×C₅	—	4	8	no	—
832	C₂²×C₅	C₂²×#41	1	4	yes	—
833	C₂²×C₅	C₂²×#41	1	2	yes	—
834	C₂²×C₅	#585	1	2	yes	—
835	C₂²×C₅	#585	1	2	yes	—
836	C₂²×C₅	C₂⁶	1	1	yes	characteristic
837	C₂×D₅	—	2	4	no	—
838	C₂×D₅	—	2	4	no	—
839	C₂×D₅	—	2	16	no	—
840	C₂×D₅	—	2	4	no	—
841	C₂×D₅	—	2	4	no	—
842	C₂×D₅	—	2	4	no	—
843	C₂×D₅	—	4	16	no	—
844	C₂×D₅	—	4	8	no	—
845	C₂×D₅	—	8	16	no	—
846	C₂×D₅	C₂²×#41	1	8	yes	—
847	C₄×C₅	—	2	2	no	—
848	C₄×C₅	—	2	2	no	—
849	C₄×C₅	—	2	4	no	—
850	C₄×C₅	—	2	4	no	—
851	C₄×C₅	—	2	2	no	—
852	C₄×C₅	—	2	2	no	—
853	C₄×C₅	—	2	4	no	—
854	C₄×C₅	—	2	2	no	—
855	C₄×C₅	—	2	2	no	—
856	Dic₅	—	2	4	no	—
857	Dic₅	—	2	4	no	—
858	Dic₅	—	2	4	no	—
859	Dic₅	—	2	4	no	—
860	Dic₅	—	2	4	no	—
861	Dic₅	—	2	4	no	—
862	C₂⁴	—	5	2	no	—
863	C₂⁴	—	5	8	no	—
864	C₂⁴	—	5	4	no	—
865	C₂⁴	—	5	2	no	—
866	C₂⁴	—	5	8	no	—
867	C₂⁴	—	10	8	no	—
868	C₂⁴	—	20	2	no	—
869	C₂⁴	—	20	2	no	—
870	C₂⁴	—	20	4	no	—
871	C₂⁴	—	20	4	no	—
872	C₂⁴	C₂³×D₅	1	2	yes	—
873	C₂⁴	C₂³×D₅	1	1	yes	characteristic
874	C₂×Q₈	—	4	2	no	—
875	C₂×Q₈	—	5	8	no	—
876	C₂×Q₈	—	5	4	no	—
877	C₂×Q₈	—	20	4	no	—
878	C₂×Q₈	—	20	2	no	—
879	C₂×Q₈	C₂³×D₅	1	4	yes	—
880	C₂×D₄	—	2	8	no	—
881	C₂×D₄	—	4	2	no	—
882	C₂×D₄	—	5	8	no	—
883	C₂×D₄	—	5	8	no	—
884	C₂×D₄	—	5	8	no	—
885	C₂×D₄	—	5	8	no	—
886	C₂×D₄	—	5	4	no	—
887	C₂×D₄	—	10	8	no	—
888	C₂×D₄	—	10	64	no	—
889	C₂×D₄	—	10	8	no	—
890	C₂×D₄	—	10	8	no	—
891	C₂×D₄	—	20	2	no	—
892	C₂×D₄	—	20	4	no	—
893	C₂×D₄	C₂³×D₅	1	8	yes	—
894	C₂×D₄	C₂³×D₅	1	4	yes	—
895	C₂²×C₄	—	2	4	no	—
896	C₂²×C₄	—	4	2	no	—
897	C₂²×C₄	—	4	4	no	—
898	C₂²×C₄	—	4	2	no	—
899	C₂²×C₄	—	5	4	no	—
900	C₂²×C₄	—	5	2	no	—
901	C₂²×C₄	—	5	2	no	—
902	C₂²×C₄	—	5	2	no	—
903	C₂²×C₄	—	5	2	no	—
904	C₂²×C₄	—	5	2	no	—
905	C₂²×C₄	—	5	2	no	—
906	C₂²×C₄	—	5	4	no	—
907	C₂²×C₄	—	5	4	no	—
908	C₂²×C₄	—	5	8	no	—
909	C₂²×C₄	—	5	8	no	—
910	C₂²×C₄	—	5	8	no	—
911	C₂²×C₄	—	5	8	no	—
912	C₂²×C₄	—	5	8	no	—
913	C₂²×C₄	—	5	8	no	—
914	C₂²×C₄	—	5	8	no	—
915	C₂²×C₄	—	5	8	no	—
916	C₂²×C₄	—	10	8	no	—
917	C₂²×C₄	—	10	8	no	—
918	C₂²×C₄	—	10	32	no	—
919	C₂²×C₄	—	10	8	no	—
920	C₂²×C₄	—	10	4	no	—
921	C₂²×C₄	—	20	4	no	—
922	C₂²×C₄	—	20	4	no	—
923	C₂²×C₄	—	20	4	no	—
924	C₂²×C₄	—	20	4	no	—
925	C₂²×C₄	—	20	2	no	—
926	C₂²×C₄	—	20	4	no	—
927	C₂²×C₄	—	20	2	no	—
928	C₂²×C₄	C₂³×D₅	1	4	yes	—
929	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
930	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
931	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
932	C₂²×C₄	C₂³×D₅	1	2	yes	—
933	C₂²×C₄	C₂³×D₅	1	2	yes	—
934	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
935	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
936	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
937	C₂²×C₄	C₂³×D₅	1	2	yes	—
938	C₂²×C₄	C₂³×D₅	1	4	yes	—
939	C₂²×C₄	C₂³×D₅	1	4	yes	—
940	C₂²×C₄	C₂³×D₅	1	8	yes	—
941	C₄⋊C₄	—	5	8	no	—
942	C₄⋊C₄	—	5	8	no	—
943	C₄⋊C₄	—	5	8	no	—
944	C₄⋊C₄	—	5	8	no	—
945	C₄⋊C₄	—	5	8	no	—
946	C₄⋊C₄	—	5	8	no	—
947	C₄⋊C₄	—	5	8	no	—
948	C₄⋊C₄	—	5	8	no	—
949	C₄⋊C₄	—	5	8	no	—
950	C₄⋊C₄	—	5	8	no	—
951	C₄⋊C₄	—	5	8	no	—
952	C₄⋊C₄	—	5	8	no	—
953	C₄⋊C₄	—	5	8	no	—
954	C₄⋊C₄	—	5	8	no	—
955	C₄⋊C₄	—	5	8	no	—
956	C₄⋊C₄	—	5	8	no	—
957	C₄⋊C₄	—	5	8	no	—
958	C₄⋊C₄	—	5	4	no	—
959	C₄⋊C₄	—	5	8	no	—
960	C₄⋊C₄	—	5	4	no	—
961	C₄⋊C₄	C₂³×D₅	1	8	yes	—
962	C₄⋊C₄	C₂³×D₅	1	8	yes	—
963	C₄⋊C₄	C₂³×D₅	1	8	yes	—
964	C₄⋊C₄	C₂³×D₅	1	8	yes	—
965	C₄⋊C₄	C₂³×D₅	1	4	yes	—
966	C₄⋊C₄	C₂³×D₅	1	4	yes	—
967	C₂²⋊C₄	—	5	8	no	—
968	C₂²⋊C₄	—	5	8	no	—
969	C₂²⋊C₄	—	5	8	no	—
970	C₂²⋊C₄	—	5	8	no	—
971	C₂²⋊C₄	—	5	8	no	—
972	C₂²⋊C₄	—	5	8	no	—
973	C₂²⋊C₄	—	5	8	no	—
974	C₂²⋊C₄	—	5	8	no	—
975	C₂²⋊C₄	—	5	8	no	—
976	C₂²⋊C₄	—	5	8	no	—
977	C₂²⋊C₄	—	5	8	no	—
978	C₂²⋊C₄	—	5	8	no	—
979	C₂²⋊C₄	—	5	8	no	—
980	C₂²⋊C₄	—	5	8	no	—
981	C₂²⋊C₄	—	5	8	no	—
982	C₂²⋊C₄	—	5	8	no	—
983	C₂²⋊C₄	—	5	8	no	—
984	C₂²⋊C₄	—	5	8	no	—
985	C₂²⋊C₄	—	5	8	no	—
986	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
987	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
988	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
989	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
990	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
991	C₄²	—	5	8	no	—
992	C₄²	—	5	8	no	—
993	C₄²	—	5	8	no	—
994	C₄²	—	5	8	no	—
995	C₄²	—	5	8	no	—
996	C₄²	C₂³×D₅	1	4	yes	—
997	C₄²	C₂³×D₅	1	4	yes	—
998	C₄²	C₂³×D₅	1	4	yes	—
999	C₄²	C₂³×D₅	1	4	yes	—
1000	C₄²	C₂³×D₅	1	8	yes	—
1001	C₂×C₅	—	2	4	no	—
1002	C₂×C₅	—	4	4	no	—
1003	C₂×C₅	#3491	1	4	yes	complemented
1004	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1005	C₂×C₅	C₂×#585	1	1	yes	characteristic
1006	C₂×C₅	C₂×#585	1	1	yes	characteristic
1007	D₅	—	2	8	no	—
1008	D₅	—	4	4	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	2	4	no	—
1012	C₂³	—	2	4	no	—
1013	C₂³	—	2	4	no	—
1014	C₂³	—	5	8	no	—
1015	C₂³	—	5	4	no	—
1016	C₂³	—	5	16	no	—
1017	C₂³	—	5	4	no	—
1018	C₂³	—	10	16	no	—
1019	C₂³	—	10	4	no	—
1020	C₂³	—	10	4	no	—
1021	C₂³	—	10	4	no	—
1022	C₂³	—	10	4	no	—
1023	C₂³	—	10	4	no	—
1024	C₂³	—	20	4	no	—
1025	C₂³	—	20	4	no	—
1026	C₂³	—	20	16	no	—
1027	C₂³	—	20	8	no	—
1028	C₂³	—	20	8	no	—
1029	C₂³	—	40	16	no	—
1030	C₂³	D₅×#41	1	4	yes	—
1031	C₂³	C₂⁴×D₅	1	4	yes	—
1032	C₂³	C₂⁴×D₅	1	2	yes	—
1033	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1034	Q₈	—	4	4	no	—
1035	Q₈	—	20	8	no	—
1036	Q₈	—	20	4	no	—
1037	D₄	—	2	16	no	—
1038	D₄	—	4	4	no	—
1039	D₄	—	10	16	no	—
1040	D₄	—	10	16	no	—
1041	D₄	—	10	16	no	—
1042	D₄	—	20	4	no	—
1043	D₄	—	20	8	no	—
1044	C₂×C₄	—	2	8	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	4	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	4	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	4	no	—
1054	C₂×C₄	—	4	4	no	—
1055	C₂×C₄	—	4	8	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	5	4	no	—
1058	C₂×C₄	—	5	4	no	—
1059	C₂×C₄	—	5	4	no	—
1060	C₂×C₄	—	5	4	no	—
1061	C₂×C₄	—	5	4	no	—
1062	C₂×C₄	—	5	4	no	—
1063	C₂×C₄	—	10	16	no	—
1064	C₂×C₄	—	10	16	no	—
1065	C₂×C₄	—	10	16	no	—
1066	C₂×C₄	—	10	8	no	—
1067	C₂×C₄	—	10	4	no	—
1068	C₂×C₄	—	10	4	no	—
1069	C₂×C₄	—	10	4	no	—
1070	C₂×C₄	—	10	4	no	—
1071	C₂×C₄	—	10	4	no	—
1072	C₂×C₄	—	10	4	no	—
1073	C₂×C₄	—	20	8	no	—
1074	C₂×C₄	—	20	8	no	—
1075	C₂×C₄	—	20	8	no	—
1076	C₂×C₄	—	20	8	no	—
1077	C₂×C₄	—	20	4	no	—
1078	C₂×C₄	—	20	8	no	—
1079	C₂×C₄	—	20	4	no	—
1080	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1081	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1082	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1083	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1084	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1085	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1086	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1087	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1088	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1089	C₅	C₂×#3491	1	1	yes	characteristic, complemented, Sylow
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	8	no	—
1093	C₂²	—	2	4	no	—
1094	C₂²	—	2	4	no	—
1095	C₂²	—	2	4	no	—
1096	C₂²	—	4	8	no	—
1097	C₂²	—	5	8	no	—
1098	C₂²	—	10	4	no	—
1099	C₂²	—	10	4	no	—
1100	C₂²	—	10	16	no	—
1101	C₂²	—	10	4	no	—
1102	C₂²	—	10	4	no	—
1103	C₂²	—	10	4	no	—
1104	C₂²	—	20	16	no	—
1105	C₂²	—	20	8	no	—
1106	C₂²	—	40	16	no	—
1107	C₂²	C₂×D₅×#41	1	4	yes	—
1108	C₂²	C₂×D₅×#41	1	2	yes	—
1109	C₂²	#66283	1	2	yes	—
1110	C₂²	#66283	1	2	yes	—
1111	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1112	C₄	—	2	2	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	4	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	4	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	2	4	no	—
1121	C₄	—	10	4	no	—
1122	C₄	—	10	4	no	—
1123	C₄	—	10	4	no	—
1124	C₄	—	10	4	no	—
1125	C₄	—	10	4	no	—
1126	C₄	—	10	4	no	—
1127	C₂	—	2	4	no	—
1128	C₂	—	4	4	no	—
1129	C₂	—	10	8	no	—
1130	C₂	—	20	4	no	—
1131	C₂	#10618056	1	4	yes	direct product factor
1132	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1133	C₂	C₂×#66283	1	1	yes	characteristic
1134	C₂	C₂×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#529	C₂
socle	C₂³×C₅	C₂⁵
prime radical	C₂×#65939	C₂
hypercenter	C₂×#529	D₅
hypocenter	C₅	C₂×#3491
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#529	C₂	semidirect
2. #10618056	C₂	direct (N × H)
3. C₂×#66042	C₂	semidirect
4. C₂×#66039	C₂	semidirect
5. C₂×#66027	C₂	semidirect
6. C₂×#66013	C₂	semidirect
7. C₂×D₅×#123	C₂	semidirect
8. C₂×#65983	C₂	semidirect
9. C₂×#65968	C₂	semidirect
10. C₂×#65979	C₂	semidirect
12. C₂×#65936	C₂	semidirect
13. C₂×#65915	C₂	semidirect
14. C₂×#65890	C₂	semidirect
15. C₂×#65879	C₂	semidirect
16. C₂×#65898	C₂	semidirect
17. C₂×#65863	C₂	semidirect
18. C₂×#65861	C₂	semidirect
19. C₂×#65813	C₂	semidirect
20. C₂²×#4018	C₂	semidirect
23. C₅×#529	C₂²	semidirect
24. C₂×C₅×#126	C₂²	semidirect
25. C₂×C₅×#125	C₂²	semidirect
26. C₂×C₅×#124	C₂²	semidirect
27. C₂×C₅×#123	C₂²	semidirect
28. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
30. C₂×C₄×C₅×Q₈	C₂²	semidirect
31. C₂×C₄×C₅×D₄	C₂²	semidirect
32. C₂×C₄×C₅×D₄	C₂²	semidirect
33. C₂×C₅×#117	C₂²	semidirect
34. C₂²×C₄²×C₅	C₂²	semidirect
35. C₂×#4092	C₂²	semidirect
36. C₂×#4092	C₂²	semidirect
39. C₂×#4081	C₂²	semidirect
40. C₂×#4081	C₂²	semidirect
41. C₂×D₄×Dic₅	C₂²	semidirect
43. C₂×#4075	C₂²	semidirect
44. C₂×#4075	C₂²	semidirect
46. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
49. C₂²×#685	C₂²	semidirect
50. C₂×#4070	C₂²	semidirect
51. C₂×#4070	C₂²	semidirect
52. C₂²×#683	C₂²	semidirect
53. C₂²×#683	C₂²	semidirect
54. C₂²×C₄×Dic₅	C₂²	semidirect
55. #66042	C₂²	semidirect
56. #66039	C₂²	semidirect
57. #66027	C₂²	semidirect
58. #66013	C₂²	semidirect
59. D₅×#123	C₂²	semidirect
60. #65983	C₂²	semidirect
61. #65979	C₂²	semidirect
62. #65968	C₂²	semidirect
64. #65936	C₂²	semidirect
65. #65915	C₂²	semidirect
66. #65898	C₂²	semidirect
67. #65890	C₂²	semidirect
68. #65879	C₂²	semidirect
69. #65863	C₂²	semidirect
70. #65861	C₂²	semidirect
71. C₂×#4044	C₂²	semidirect
72. C₂×#4044	C₂²	semidirect
73. C₂×#4043	C₂²	semidirect
74. C₂×#4042	C₂²	semidirect
75. C₂×#4042	C₂²	semidirect
76. C₂×#4042	C₂²	semidirect
80. C₂×#4040	C₂²	semidirect
82. C₂×#4038	C₂²	semidirect
83. C₂×#4038	C₂²	semidirect
84. C₂×D₅×C₄⋊C₄	C₂²	semidirect
85. C₂×D₅×C₄⋊C₄	C₂²	semidirect
86. C₂×#4036	C₂²	semidirect
87. C₂×#4035	C₂²	semidirect
88. C₂×#4035	C₂²	semidirect
89. C₂×#4035	C₂²	semidirect
90. C₂×#4033	C₂²	semidirect
91. C₂×#4032	C₂²	semidirect
92. C₂×#4031	C₂²	semidirect
96. C₂×#4029	C₂²	semidirect
99. C₂×#4027	C₂²	semidirect
100. C₂×#4027	C₂²	semidirect
102. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
103. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
104. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
105. C₂×#4025	C₂²	semidirect
106. C₂×#4025	C₂²	semidirect
107. C₂×#4025	C₂²	semidirect
108. C₂×#4024	C₂²	semidirect
109. C₂×#4024	C₂²	semidirect
110. C₂×#4023	C₂²	semidirect
111. #65813	C₂²	semidirect
112. C₂×#4022	C₂²	semidirect
113. C₂×#4022	C₂²	semidirect
114. C₂×#4021	C₂²	semidirect
116. C₂×C₄×D₂₀	C₂²	semidirect
117. C₂×#4018	C₂²	semidirect
118. C₂×#4018	C₂²	semidirect
119. C₂×#4018	C₂²	semidirect
120. C₂×#4018	C₂²	semidirect
121. C₂×#4018	C₂²	semidirect
122. C₂×#4018	C₂²	semidirect
123. C₂×#4018	C₂²	semidirect
124. C₂×#4016	C₂²	semidirect
125. C₂×#4016	C₂²	semidirect
126. C₂×C₄×Dic₁₀	C₂²	semidirect
159. C₅×#126	C₂³	semidirect
160. C₅×#125	C₂³	semidirect
161. C₅×#124	C₂³	semidirect
162. C₅×#123	C₂³	semidirect
163. C₅×C₂²⋊Q₈	C₂³	semidirect
165. C₄×C₅×Q₈	C₂³	semidirect
166. C₄×C₅×D₄	C₂³	semidirect
167. C₄×C₅×D₄	C₂³	semidirect
168. C₅×#117	C₂³	semidirect
185. C₂×C₄²×C₅	C₂³	semidirect
191. #4092	C₂³	semidirect
192. #4092	C₂³	semidirect
195. #4081	C₂³	semidirect
196. #4081	C₂³	semidirect
197. D₄×Dic₅	C₂³	semidirect
199. #4075	C₂³	semidirect
200. #4075	C₂³	semidirect
202. C₄×C₂²⋊D₅	C₂³	semidirect
219. C₂×#685	C₂³	semidirect
226. #4070	C₂³	semidirect
227. #4070	C₂³	semidirect
242. C₂×#683	C₂³	semidirect
243. C₂×#683	C₂³	semidirect
249. C₂×C₄×Dic₅	C₂³	semidirect
250. #4044	C₂³	semidirect
251. #4044	C₂³	semidirect
252. #4043	C₂³	semidirect
253. #4042	C₂³	semidirect
254. #4042	C₂³	semidirect
255. #4042	C₂³	semidirect
259. #4040	C₂³	semidirect
261. #4038	C₂³	semidirect
262. #4038	C₂³	semidirect
263. D₅×C₄⋊C₄	C₂³	semidirect
264. D₅×C₄⋊C₄	C₂³	semidirect
265. #4036	C₂³	semidirect
266. #4035	C₂³	semidirect
267. #4035	C₂³	semidirect
268. #4035	C₂³	semidirect
269. #4033	C₂³	semidirect
270. #4032	C₂³	semidirect
271. #4031	C₂³	semidirect
275. #4029	C₂³	semidirect
278. #4027	C₂³	semidirect
279. #4027	C₂³	semidirect
281. D₅×C₂²⋊C₄	C₂³	semidirect
282. D₅×C₂²⋊C₄	C₂³	semidirect
283. D₅×C₂²⋊C₄	C₂³	semidirect
284. #4025	C₂³	semidirect
285. #4025	C₂³	semidirect
286. #4025	C₂³	semidirect
287. #4024	C₂³	semidirect
288. #4024	C₂³	semidirect
289. #4023	C₂³	semidirect
290. #4022	C₂³	semidirect
291. #4022	C₂³	semidirect
292. #4021	C₂³	semidirect
294. C₄×D₂₀	C₂³	semidirect
295. #4018	C₂³	semidirect
296. #4018	C₂³	semidirect
297. #4018	C₂³	semidirect
298. #4018	C₂³	semidirect
299. #4018	C₂³	semidirect
300. #4018	C₂³	semidirect
301. #4016	C₂³	semidirect
302. #4016	C₂³	semidirect
303. C₄×Dic₁₀	C₂³	semidirect
320. C₂×#529	D₅	semidirect
480. #529	C₂×D₅	semidirect
488. C₂×#126	C₂×D₅	semidirect
495. C₂×#125	C₂×D₅	semidirect
498. C₂×#124	C₂×D₅	semidirect
513. C₂×#123	C₂×D₅	semidirect
524. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
533. C₂×C₄×Q₈	C₂×D₅	semidirect
543. C₂×C₄×D₄	C₂×D₅	semidirect
544. C₂×C₄×D₄	C₂×D₅	semidirect
555. C₂×#117	C₂×D₅	semidirect
568. C₂²×C₄²	C₂×D₅	semidirect
687. #126	C₂²×D₅	semidirect
694. #125	C₂²×D₅	semidirect
697. #124	C₂²×D₅	semidirect
711. #123	C₂²×D₅	semidirect
722. C₂²⋊Q₈	C₂²×D₅	semidirect
730. C₄×Q₈	C₂²×D₅	semidirect
740. C₄×D₄	C₂²×D₅	semidirect
741. C₄×D₄	C₂²×D₅	semidirect
751. #117	C₂²×D₅	semidirect
824. C₂×C₄²	C₂²×D₅	semidirect
1003. C₂×C₅	#3491	semidirect
1089. C₅	C₂×#3491	semidirect
1131. C₂	#10618056	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×#529	2
#10618056	2
C₂×#66042	2
C₂×#66039	2
C₂×#66027	2
C₂×#66013	2
C₂×D₅×#123	2
C₂×#65983	2
C₂×#65968	2
C₂×#65979	2
C₂×#65939	2
C₂×#65936	2
C₂×#65915	2
C₂×#65890	2
C₂×#65879	2
C₂×#65898	2
C₂×#65863	2
C₂×#65861	2
C₂×#65813	2
C₂²×#4018	2
C₂×#3491	5

Subgroups — C2×#10618056 #13007348

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618056 #13007348