Subgroups — C₂×#10618850 #13007201

Order 1280.

7738 conjugacy classes of subgroups.

The subgroup lattice has 1276 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618850	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66061	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66063	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66023	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#66024	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#66024	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66022	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#65968	C₂	1	2	yes	maximal, complemented
10	C₂×#65968	C₂	1	2	yes	maximal, complemented
11	C₂×D₅×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
12	C₂×#65970	C₂	1	2	yes	maximal, complemented
13	C₂×#65970	C₂	1	2	yes	maximal, complemented
14	C₂×#65966	C₂	1	2	yes	maximal, complemented
15	C₂×#65913	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65912	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65879	C₂	1	1	yes	maximal, characteristic
18	C₂×#65879	C₂	1	1	yes	maximal, characteristic
19	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic
20	C₂×#65873	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65873	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₄×Dic₁₀	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#4042	C₂	1	2	yes	maximal, complemented
24	C₂×#65845	C₂	1	2	yes	maximal, complemented
25	C₂²×Q₈×D₅	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₅	C₂²	1	2	yes	—
28	C₂³×Dic₁₀	C₂²	1	2	yes	complemented
29	C₅×#554	C₂²	1	16	yes	complemented
30	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
34	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
35	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
40	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	complemented
41	C₂×#4092	C₂²	1	2	yes	—
42	C₂×#4092	C₂²	1	1	yes	characteristic
43	C₂×#4092	C₂²	1	2	yes	complemented
44	C₂×#4092	C₂²	1	2	yes	complemented
45	C₂×#4090	C₂²	1	2	yes	complemented
46	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
48	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
49	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
51	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
52	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
53	C₂²×#685	C₂²	1	2	yes	—
54	C₂²×#685	C₂²	1	2	yes	—
55	C₂×#4070	C₂²	1	2	yes	complemented
56	C₂×#4070	C₂²	1	2	yes	complemented
57	C₂×#4070	C₂²	1	2	yes	complemented
58	C₂²×#683	C₂²	1	2	yes	complemented
59	C₂²×#683	C₂²	1	2	yes	complemented
60	#66063	C₂²	1	16	yes	complemented
61	#66061	C₂²	1	16	yes	complemented
62	#66024	C₂²	1	16	yes	complemented
63	#66024	C₂²	1	16	yes	complemented
64	#66023	C₂²	1	16	yes	complemented
65	#66022	C₂²	1	16	yes	complemented
66	#65970	C₂²	1	32	yes	complemented
67	#65970	C₂²	1	32	yes	complemented
68	#65968	C₂²	1	32	yes	complemented
69	#65968	C₂²	1	32	yes	complemented
70	#65966	C₂²	1	32	yes	complemented
71	D₅×C₂²⋊Q₈	C₂²	1	32	yes	complemented
72	#65913	C₂²	1	16	yes	complemented
73	#65912	C₂²	1	16	yes	complemented
74	#65879	C₂²	1	16	yes	—
75	#65879	C₂²	1	16	yes	—
76	C₄×D₄×D₅	C₂²	1	16	yes	—
77	#65873	C₂²	1	16	yes	complemented
78	#65873	C₂²	1	16	yes	complemented
79	D₄×Dic₁₀	C₂²	1	16	yes	complemented
80	#65845	C₂²	1	32	yes	complemented
81	C₂×#4043	C₂²	1	2	yes	—
82	C₂×#4043	C₂²	1	1	yes	characteristic
83	C₂×#4043	C₂²	1	2	yes	complemented
84	C₂×#4043	C₂²	1	2	yes	complemented
85	C₂×#4042	C₂²	1	1	yes	characteristic
86	C₂×#4042	C₂²	1	2	yes	—
87	C₂×#4042	C₂²	1	2	yes	—
88	C₂×#4042	C₂²	1	2	yes	—
89	C₂×#4042	C₂²	1	1	yes	characteristic
90	C₂×#4042	C₂²	1	2	yes	—
91	C₂×#4042	C₂²	1	2	yes	complemented
92	C₂×#4042	C₂²	1	2	yes	complemented
93	C₂×#4042	C₂²	1	2	yes	complemented
94	C₂×#4042	C₂²	1	2	yes	complemented
95	C₂×#4042	C₂²	1	2	yes	complemented
96	C₂×#4042	C₂²	1	2	yes	complemented
97	C₂×#4042	C₂²	1	2	yes	complemented
98	C₂×#4042	C₂²	1	2	yes	complemented
99	C₂×#4042	C₂²	1	32	yes	complemented
100	C₂×#4039	C₂²	1	1	yes	characteristic
101	C₂×#4039	C₂²	1	1	yes	characteristic
102	C₂×#4039	C₂²	1	1	yes	characteristic
103	C₂×#4038	C₂²	1	1	yes	characteristic
104	C₂×#4038	C₂²	1	1	yes	characteristic
105	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
107	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
108	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
109	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
110	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
111	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
112	C₂×#4035	C₂²	1	2	yes	complemented
113	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
114	C₂×#4035	C₂²	1	2	yes	complemented
115	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
116	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4034	C₂²	1	2	yes	complemented
118	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
119	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
120	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
121	C₂×#4033	C₂²	1	2	yes	complemented
122	C₂×#4033	C₂²	1	2	yes	complemented
123	C₂×#4027	C₂²	1	2	yes	—
124	C₂×#4027	C₂²	1	2	yes	—
125	C₂×#4027	C₂²	1	2	yes	—
126	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
127	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
128	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
129	C₂×#4024	C₂²	1	2	yes	complemented
130	C₂×#4024	C₂²	1	2	yes	complemented
131	C₂×#4024	C₂²	1	2	yes	complemented
132	C₂×#4024	C₂²	1	2	yes	complemented
133	C₂×#4024	C₂²	1	2	yes	complemented
134	C₂×#4024	C₂²	1	2	yes	complemented
135	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
137	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
138	C₂×#4018	C₂²	1	1	yes	characteristic
139	C₂×#4018	C₂²	1	1	yes	characteristic
140	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
141	C₂×#4016	C₂²	1	1	yes	characteristic, complemented
142	C₂×#4016	C₂²	1	1	yes	characteristic, complemented
143	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3501	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
150	C₂²×C₅×Q₈	C₂³	1	2	yes	—
151	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₅	C₂³	1	2	yes	—
153	C₂³×C₄×C₅	C₂³	1	2	yes	—
154	C₂³×C₄×C₅	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
156	C₂³×Dic₅	C₂³	1	2	yes	—
157	C₂³×Dic₅	C₂³	1	2	yes	—
158	C₂³×Dic₅	C₂³	1	2	yes	—
159	C₂×Q₈×D₅	—	4	8	no	—
160	C₂×Q₈×D₅	C₂³	1	16	yes	complemented
161	C₂×D₄×D₅	Q₈	1	16	yes	complemented
162	C₂×D₄×D₅	C₂³	1	8	yes	—
163	C₂²×D₂₀	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₅	—	4	8	no	—
165	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
166	C₂²×C₄×D₅	C₂³	1	2	yes	—
167	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₅	C₂³	1	2	yes	—
169	C₂²×C₄×D₅	C₂³	1	2	yes	—
170	C₂²×C₄×D₅	C₂³	1	2	yes	—
171	C₂²×C₄×D₅	C₂³	1	2	yes	—
172	C₂²×C₄×D₅	C₂³	1	2	yes	—
173	C₂²×C₄×D₅	C₂³	1	2	yes	—
174	C₂²×C₄×D₅	C₂³	1	16	yes	—
175	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
176	C₂²×Dic₁₀	—	4	8	no	—
177	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
178	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
179	C₂²×Dic₁₀	C₂³	1	2	yes	—
180	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
181	C₂²×Dic₁₀	C₂³	1	2	yes	—
182	C₂²×Dic₁₀	C₂³	1	2	yes	—
183	C₂²×Dic₁₀	C₂³	1	2	yes	—
184	C₂²×Dic₁₀	C₂³	1	2	yes	—
185	C₂²×Dic₁₀	C₂³	1	16	yes	complemented
186	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
187	C₅×#125	C₂³	1	8	yes	complemented
188	C₅×#125	C₂³	1	8	yes	complemented
189	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
190	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
191	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
192	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
193	C₄×C₅×D₄	C₂³	1	8	yes	—
194	C₄×C₅×D₄	C₂³	1	8	yes	—
195	C₄×C₅×D₄	C₂³	1	8	yes	—
196	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
205	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
207	C₂×C₅×C₄⋊C₄	C₂³	1	16	yes	complemented
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×C₄²×C₅	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
215	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
216	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
217	#4092	C₂³	1	16	yes	—
218	#4092	C₂³	1	8	yes	—
219	#4092	C₂³	1	16	yes	complemented
220	#4092	C₂³	1	16	yes	complemented
221	#4090	C₂³	1	16	yes	complemented
222	#4090	C₂³	1	8	yes	complemented
223	D₄×Dic₅	C₂³	1	8	yes	—
224	D₄×Dic₅	C₂³	1	8	yes	—
225	D₄×Dic₅	C₂³	1	8	yes	—
226	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
227	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
228	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
229	C₂×#685	C₂³	1	1	yes	characteristic
230	C₂×#685	C₂³	1	1	yes	characteristic
231	C₂×#685	C₂³	1	1	yes	characteristic
232	C₂×#685	C₂³	1	1	yes	characteristic
233	C₂×#685	C₂³	1	2	yes	—
234	C₂×#685	C₂³	1	2	yes	—
235	C₂×#685	C₂³	1	2	yes	—
236	C₂×#685	C₂³	1	2	yes	—
237	C₂×#685	C₂³	1	2	yes	—
238	C₂×#685	C₂³	1	2	yes	—
239	C₂×#685	C₂³	1	2	yes	—
240	C₂×#685	C₂³	1	2	yes	—
241	C₂×#685	C₂³	1	16	yes	—
242	C₂×#685	C₂³	1	16	yes	—
243	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
249	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
251	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
252	#4070	C₂³	1	16	yes	complemented
253	#4070	C₂³	1	16	yes	complemented
254	#4070	C₂³	1	16	yes	complemented
255	C₂×#683	C₂³	1	1	yes	characteristic
256	C₂×#683	C₂³	1	1	yes	characteristic
257	C₂×#683	C₂³	1	1	yes	characteristic
258	C₂×#683	C₂³	1	1	yes	characteristic
259	C₂×#683	C₂³	1	1	yes	characteristic
260	C₂×#683	C₂³	1	1	yes	characteristic
261	C₂×#683	C₂³	1	2	yes	—
262	C₂×#683	C₂³	1	2	yes	—
263	C₂×#683	C₂³	1	2	yes	—
264	C₂×#683	C₂³	1	2	yes	—
265	C₂×#683	C₂³	1	1	yes	characteristic
266	C₂×#683	C₂³	1	1	yes	characteristic
267	C₂×#683	C₂³	1	1	yes	characteristic
268	C₂×#683	C₂³	1	1	yes	characteristic
269	C₂×#683	C₂³	1	2	yes	—
270	C₂×#683	C₂³	1	2	yes	—
271	C₂×#683	C₂³	1	2	yes	—
272	C₂×#683	C₂³	1	2	yes	—
273	C₂×#683	C₂³	1	2	yes	—
274	C₂×#683	C₂³	1	2	yes	—
275	C₂×#683	C₂³	1	2	yes	—
276	C₂×#683	C₂³	1	16	yes	complemented
277	C₂×#683	C₂³	1	16	yes	complemented
278	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₅	C₂³	1	2	yes	—
284	C₂×C₄×Dic₅	C₂³	1	2	yes	—
285	#4043	C₂³	1	8	yes	—
286	#4043	C₂³	1	16	yes	—
287	#4043	C₂³	1	16	yes	complemented
288	#4043	C₂³	1	16	yes	complemented
289	#4042	C₂³	1	16	yes	—
290	#4042	C₂³	1	8	yes	—
291	#4042	C₂³	1	16	yes	—
292	#4042	C₂³	1	16	yes	—
293	#4042	C₂³	1	8	yes	—
294	#4042	C₂³	1	16	yes	—
295	#4042	C₂³	1	16	yes	complemented
296	#4042	C₂³	1	16	yes	complemented
297	#4042	C₂³	1	16	yes	complemented
298	#4042	C₂³	1	16	yes	complemented
299	#4042	C₂³	1	16	yes	complemented
300	#4042	C₂³	1	16	yes	complemented
301	#4042	C₂³	1	16	yes	complemented
302	#4042	C₂³	1	16	yes	complemented
303	#4039	C₂³	1	8	yes	—
304	#4039	C₂³	1	8	yes	—
305	#4039	C₂³	1	8	yes	—
306	#4038	C₂³	1	8	yes	—
307	#4038	C₂³	1	8	yes	—
308	D₅×C₄⋊C₄	C₂³	1	8	yes	—
309	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
310	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
311	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
312	#4036	C₂³	1	8	yes	complemented
313	#4036	C₂³	1	8	yes	complemented
314	#4035	C₂³	1	16	yes	complemented
315	#4035	C₂³	1	8	yes	complemented
316	#4035	C₂³	1	8	yes	complemented
317	#4035	C₂³	1	16	yes	complemented
318	#4034	C₂³	1	8	yes	complemented
319	#4034	C₂³	1	8	yes	complemented
320	#4034	C₂³	1	8	yes	complemented
321	#4034	C₂³	1	16	yes	complemented
322	#4034	C₂³	1	8	yes	complemented
323	#4034	C₂³	1	8	yes	complemented
324	#4033	C₂³	1	16	yes	complemented
325	#4033	C₂³	1	16	yes	complemented
326	#4027	C₂³	1	16	yes	—
327	#4027	C₂³	1	16	yes	—
328	#4027	C₂³	1	16	yes	—
329	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
330	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
331	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
332	#4024	C₂³	1	16	yes	complemented
333	#4024	C₂³	1	16	yes	complemented
334	#4024	C₂³	1	16	yes	complemented
335	#4024	C₂³	1	16	yes	complemented
336	#4024	C₂³	1	16	yes	complemented
337	#4024	C₂³	1	16	yes	complemented
338	C₄×D₂₀	C₂³	1	8	yes	—
339	C₄×D₂₀	C₂³	1	8	yes	—
340	C₄×D₂₀	C₂³	1	8	yes	—
341	#4018	C₂³	1	8	yes	—
342	#4018	C₂³	1	8	yes	—
343	C₄²×D₅	C₂³	1	8	yes	—
344	#4016	C₂³	1	8	yes	complemented
345	#4016	C₂³	1	8	yes	complemented
346	#4015	C₂³	1	8	yes	complemented
347	C₄×Dic₁₀	C₂³	1	8	yes	complemented
348	C₄×Dic₁₀	C₂³	1	8	yes	complemented
349	C₄×Dic₁₀	C₂³	1	8	yes	complemented
350	#3501	—	5	32	no	—
351	C₂×#554	—	5	1	no	—
352	C₂×#554	—	5	1	no	—
353	C₂×#554	—	5	2	no	—
354	C₂×#554	—	5	2	no	—
355	C₂×#554	—	5	1	no	—
356	C₂×#554	—	5	1	no	—
357	C₂×#554	—	5	1	no	—
358	C₂×#554	—	5	2	no	—
359	C₂×#554	D₅	1	1	yes	characteristic, complemented
360	C₂×D₄×Q₈	—	5	1	no	—
361	C₂×D₄×Q₈	—	5	2	no	—
362	C₂×D₄×Q₈	—	5	1	no	—
363	C₂×#544	—	5	1	no	—
364	C₂×#544	—	5	1	no	—
365	C₂×#543	—	5	2	no	—
366	C₂×#543	—	5	2	no	—
367	C₂×#533	—	5	1	no	—
368	C₂×#533	—	5	1	no	—
369	C₂²×C₂²⋊Q₈	—	5	2	no	—
370	C₂²×C₂²⋊Q₈	—	5	2	no	—
371	C₂×#518	—	5	1	no	—
372	C₂×#518	—	5	1	no	—
373	C₂²×C₄×D₄	—	5	1	no	—
374	C₂⁴×C₅	C₂⁴	1	2	yes	—
375	C₂³×D₅	—	4	4	no	—
376	C₂³×D₅	—	4	4	no	—
377	C₂³×D₅	C₂×Q₈	1	16	yes	complemented
378	C₂³×D₅	C₂⁴	1	2	yes	—
379	C₂³×D₅	C₂⁴	1	1	yes	characteristic
380	C₂³×D₅	C₂⁴	1	8	yes	—
381	C₂×C₅×Q₈	—	4	4	no	—
382	C₂×C₅×Q₈	—	4	2	no	—
383	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
384	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
385	C₂×C₅×D₄	C₂×Q₈	1	8	yes	complemented
386	C₂×C₅×D₄	C₂⁴	1	4	yes	—
387	C₂²×C₄×C₅	—	4	4	no	—
388	C₂²×C₄×C₅	—	4	4	no	—
389	C₂²×C₄×C₅	—	4	4	no	—
390	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
398	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
400	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
401	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₂²⋊D₅	C₂×Q₈	1	16	yes	complemented
404	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
405	C₂²×Dic₅	—	2	8	no	—
406	C₂²×Dic₅	—	4	4	no	—
407	C₂²×Dic₅	—	4	4	no	—
408	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₅	C₂⁴	1	2	yes	—
412	C₂²×Dic₅	C₂⁴	1	2	yes	—
413	C₂²×Dic₅	C₂⁴	1	2	yes	—
414	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₅	C₂⁴	1	8	yes	—
417	C₂²×Dic₅	C₂⁴	1	8	yes	—
418	C₂²×Dic₅	C₂⁴	1	8	yes	—
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
421	Q₈×D₅	—	4	32	no	—
422	D₄×D₅	C₂×Q₈	1	64	yes	complemented
423	C₂×D₂₀	C₂×Q₈	1	8	yes	complemented
424	C₂×D₂₀	C₂⁴	1	4	yes	—
425	C₂×C₄×D₅	—	2	4	no	—
426	C₂×C₄×D₅	—	2	8	no	—
427	C₂×C₄×D₅	—	4	32	no	—
428	C₂×C₄×D₅	—	4	4	no	—
429	C₂×C₄×D₅	—	4	4	no	—
430	C₂×C₄×D₅	—	4	2	no	—
431	C₂×C₄×D₅	—	4	4	no	—
432	C₂×C₄×D₅	—	4	4	no	—
433	C₂×C₄×D₅	—	4	4	no	—
434	C₂×C₄×D₅	—	4	4	no	—
435	C₂×C₄×D₅	C₂×Q₈	1	8	yes	complemented
436	C₂×C₄×D₅	C₂⁴	1	4	yes	—
437	C₂×C₄×D₅	C₂⁴	1	8	yes	—
438	C₂×C₄×D₅	C₂⁴	1	8	yes	—
439	C₂×C₄×D₅	C₂⁴	1	8	yes	—
440	C₂×C₄×D₅	C₂⁴	1	8	yes	—
441	C₂×C₄×D₅	C₂⁴	1	8	yes	—
442	C₂×C₄×D₅	C₂⁴	1	4	yes	—
443	C₂×C₄×D₅	C₂⁴	1	8	yes	—
444	C₂×C₄×D₅	C₂⁴	1	8	yes	—
445	C₂×C₄×D₅	C₂⁴	1	4	yes	—
446	C₂×Dic₁₀	—	2	4	no	—
447	C₂×Dic₁₀	—	2	8	no	—
448	C₂×Dic₁₀	—	2	4	no	—
449	C₂×Dic₁₀	—	4	32	no	—
450	C₂×Dic₁₀	—	4	4	no	—
451	C₂×Dic₁₀	—	4	4	no	—
452	C₂×Dic₁₀	—	4	4	no	—
453	C₂×Dic₁₀	—	4	2	no	—
454	C₂×Dic₁₀	—	4	4	no	—
455	C₂×Dic₁₀	C₂⁴	1	4	yes	—
456	C₂×Dic₁₀	C₂⁴	1	8	yes	—
457	C₂×Dic₁₀	C₂⁴	1	4	yes	—
458	C₂×Dic₁₀	C₂⁴	1	8	yes	—
459	C₂×Dic₁₀	C₂⁴	1	8	yes	—
460	C₂×Dic₁₀	C₂⁴	1	8	yes	—
461	C₂×Dic₁₀	C₂⁴	1	4	yes	—
462	C₂×Dic₁₀	C₂⁴	1	8	yes	—
463	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
466	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
467	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
468	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
469	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
470	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
471	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
472	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
473	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
474	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
475	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
476	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
477	C₄²×C₅	C₂⁴	1	4	yes	—
478	C₄²×C₅	C₂⁴	1	4	yes	—
479	C₄²×C₅	C₂⁴	1	4	yes	—
480	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
482	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
483	#685	C₂⁴	1	4	yes	—
484	#685	C₂⁴	1	4	yes	—
485	#685	C₂⁴	1	4	yes	—
486	#685	C₂⁴	1	4	yes	—
487	#685	C₂⁴	1	8	yes	—
488	#685	C₂⁴	1	8	yes	—
489	#685	C₂⁴	1	8	yes	—
490	#685	C₂⁴	1	8	yes	—
491	#685	C₂⁴	1	8	yes	—
492	#685	C₂⁴	1	8	yes	—
493	#685	C₂⁴	1	8	yes	—
494	#685	C₂⁴	1	8	yes	—
495	C₄⋊Dic₅	C₂⁴	1	4	yes	—
496	C₄⋊Dic₅	C₂⁴	1	4	yes	—
497	C₄⋊Dic₅	C₂⁴	1	4	yes	—
498	C₄⋊Dic₅	C₂⁴	1	4	yes	—
499	C₄⋊Dic₅	C₂⁴	1	4	yes	—
500	C₄⋊Dic₅	C₂⁴	1	8	yes	—
501	C₄⋊Dic₅	C₂⁴	1	4	yes	—
502	C₄⋊Dic₅	C₂⁴	1	8	yes	—
503	C₄⋊Dic₅	C₂⁴	1	8	yes	—
504	#683	C₂⁴	1	4	yes	—
505	#683	C₂⁴	1	4	yes	—
506	#683	C₂⁴	1	4	yes	—
507	#683	C₂⁴	1	4	yes	—
508	#683	C₂⁴	1	4	yes	—
509	#683	C₂⁴	1	4	yes	—
510	#683	C₂⁴	1	8	yes	—
511	#683	C₂⁴	1	8	yes	—
512	#683	C₂⁴	1	8	yes	—
513	#683	C₂⁴	1	8	yes	—
514	#683	C₂⁴	1	4	yes	—
515	#683	C₂⁴	1	4	yes	—
516	#683	C₂⁴	1	4	yes	—
517	#683	C₂⁴	1	4	yes	—
518	#683	C₂⁴	1	8	yes	—
519	#683	C₂⁴	1	8	yes	—
520	#683	C₂⁴	1	8	yes	—
521	#683	C₂⁴	1	8	yes	—
522	#683	C₂⁴	1	8	yes	—
523	#683	C₂⁴	1	8	yes	—
524	#683	C₂⁴	1	8	yes	—
525	C₄×Dic₅	C₂⁴	1	4	yes	—
526	C₄×Dic₅	C₂⁴	1	4	yes	—
527	C₄×Dic₅	C₂⁴	1	4	yes	—
528	C₄×Dic₅	C₂⁴	1	4	yes	—
529	C₄×Dic₅	C₂⁴	1	4	yes	—
530	C₄×Dic₅	C₂⁴	1	8	yes	—
531	C₄×Dic₅	C₂⁴	1	8	yes	—
532	C₂³×Q₈	—	5	2	no	—
533	C₂³×Q₈	—	5	2	no	—
534	C₂³×D₄	—	5	1	no	—
535	C₂⁴×C₄	—	5	2	no	—
536	#554	—	5	16	no	—
537	#554	—	5	16	no	—
538	#554	—	5	32	no	—
539	#554	—	5	32	no	—
540	#554	—	5	16	no	—
541	#554	—	5	16	no	—
542	#554	—	5	16	no	—
543	#554	—	5	32	no	—
544	#554	C₂×D₅	1	16	yes	complemented
545	D₄×Q₈	—	5	16	no	—
546	D₄×Q₈	—	5	32	no	—
547	D₄×Q₈	—	5	16	no	—
548	#544	—	5	16	no	—
549	#544	—	5	16	no	—
550	#543	—	5	32	no	—
551	#543	—	5	32	no	—
552	#533	—	5	16	no	—
553	#533	—	5	16	no	—
554	C₂×C₄⋊Q₈	—	5	1	no	—
555	C₂×C₄⋊Q₈	—	5	2	no	—
556	C₂×C₄⋊Q₈	—	5	1	no	—
557	C₂×C₄⋊Q₈	—	5	1	no	—
558	C₂×C₄⋊Q₈	—	5	1	no	—
559	C₂×C₄⋊Q₈	—	5	2	no	—
560	C₂×C₄⋊Q₈	—	5	1	no	—
561	C₂×C₄⋊Q₈	—	5	1	no	—
562	C₂×C₄⋊Q₈	—	5	1	no	—
563	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
564	C₂×#125	—	5	1	no	—
565	C₂×#125	—	5	1	no	—
566	C₂×#125	—	5	2	no	—
567	C₂×#125	—	5	2	no	—
568	C₂×#125	—	5	1	no	—
569	C₂×#125	—	5	1	no	—
570	C₂×#125	—	5	1	no	—
571	C₂×#125	—	5	1	no	—
572	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
573	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
574	C₂×C₂²⋊Q₈	—	5	2	no	—
575	C₂×C₂²⋊Q₈	—	5	1	no	—
576	C₂×C₂²⋊Q₈	—	5	2	no	—
577	C₂×C₂²⋊Q₈	—	5	2	no	—
578	C₂×C₂²⋊Q₈	—	5	2	no	—
579	C₂×C₂²⋊Q₈	—	5	2	no	—
580	C₂×C₂²⋊Q₈	—	5	2	no	—
581	C₂×C₂²⋊Q₈	—	5	32	no	—
582	C₂×C₂²⋊Q₈	—	5	1	no	—
583	C₂×C₂²⋊Q₈	—	5	2	no	—
584	C₂×C₂²⋊Q₈	—	5	1	no	—
585	C₂×C₂²⋊Q₈	—	5	2	no	—
586	C₂×C₂²⋊Q₈	—	5	2	no	—
587	C₂×C₂²⋊Q₈	—	5	2	no	—
588	C₂×C₂²⋊Q₈	—	5	2	no	—
589	C₂×C₂²⋊Q₈	—	5	2	no	—
590	C₂×C₂²⋊Q₈	—	5	2	no	—
591	C₂×C₂²⋊Q₈	—	5	2	no	—
592	C₂×C₂²⋊Q₈	—	5	2	no	—
593	C₂×C₂²⋊Q₈	—	5	2	no	—
594	C₂×C₂²⋊Q₈	—	5	2	no	—
595	C₂×C₂²⋊Q₈	—	5	2	no	—
596	C₂×C₂²⋊Q₈	—	5	2	no	—
597	C₂×C₂²⋊Q₈	—	5	1	no	—
598	C₂×C₂²⋊Q₈	—	5	2	no	—
599	C₂×C₂²⋊Q₈	—	5	2	no	—
600	C₂×C₂²⋊Q₈	—	5	32	no	—
601	C₂×C₂²⋊Q₈	—	5	2	no	—
602	C₂×C₂²⋊Q₈	—	5	2	no	—
603	C₂×C₂²⋊Q₈	—	5	2	no	—
604	C₂×C₂²⋊Q₈	—	5	2	no	—
605	C₂×C₂²⋊Q₈	—	5	2	no	—
606	C₂×C₂²⋊Q₈	—	5	2	no	—
607	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
608	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
609	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
610	#518	—	5	16	no	—
611	#518	—	5	16	no	—
612	C₂×C₄×Q₈	—	5	2	no	—
613	C₂×C₄×Q₈	—	5	2	no	—
614	C₂×C₄×Q₈	—	5	1	no	—
615	C₂×C₄×Q₈	—	5	1	no	—
616	C₂×C₄×Q₈	—	5	1	no	—
617	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
618	C₂×C₄×D₄	—	5	1	no	—
619	C₂×C₄×D₄	—	5	1	no	—
620	C₂×C₄×D₄	—	5	1	no	—
621	C₂×C₄×D₄	—	5	2	no	—
622	C₂×C₄×D₄	—	5	2	no	—
623	C₂×C₄×D₄	—	5	2	no	—
624	C₂×C₄×D₄	—	5	16	no	—
625	C₂×C₄×D₄	—	5	1	no	—
626	C₂×C₄×D₄	—	5	1	no	—
627	C₂×C₄×D₄	—	5	1	no	—
628	C₂×C₄×D₄	—	5	2	no	—
629	C₂×C₄×D₄	—	5	2	no	—
630	C₂×C₄×D₄	—	5	2	no	—
631	C₂×C₄×D₄	—	5	1	no	—
632	C₂×C₄×D₄	—	5	1	no	—
633	C₂×C₄×D₄	—	5	1	no	—
634	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
635	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
636	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
637	C₂×#117	—	5	1	no	—
638	C₂×#117	—	5	1	no	—
639	C₂×#117	—	5	1	no	—
640	C₂×#117	—	5	1	no	—
641	C₂²×C₄⋊C₄	—	5	2	no	—
642	C₂²×C₄⋊C₄	—	5	2	no	—
643	C₂²×C₄⋊C₄	—	5	1	no	—
644	C₂²×C₄⋊C₄	—	5	2	no	—
645	C₂²×C₄⋊C₄	—	5	2	no	—
646	C₂²×C₄⋊C₄	—	5	2	no	—
647	C₂²×C₄⋊C₄	C₂×D₅	1	2	yes	complemented
648	C₂²×C₂²⋊C₄	—	5	2	no	—
649	C₂²×C₂²⋊C₄	—	5	2	no	—
650	C₂²×C₂²⋊C₄	—	5	2	no	—
651	C₂²×C₂²⋊C₄	—	5	2	no	—
652	C₂²×C₂²⋊C₄	—	5	2	no	—
653	C₂²×C₄²	—	5	1	no	—
654	C₂³×C₅	—	2	4	no	—
655	C₂³×C₅	—	2	4	no	—
656	C₂³×C₅	C₂²×Q₈	1	8	yes	—
657	C₂³×C₅	C₂⁵	1	4	yes	—
658	C₂³×C₅	C₂⁵	1	1	yes	characteristic
659	C₂²×D₅	—	2	4	no	—
660	C₂²×D₅	—	2	2	no	—
661	C₂²×D₅	—	2	4	no	—
662	C₂²×D₅	—	2	2	no	—
663	C₂²×D₅	—	4	8	no	—
664	C₂²×D₅	—	4	32	no	—
665	C₂²×D₅	—	4	8	no	—
666	C₂²×D₅	C₂²×Q₈	1	4	yes	—
667	C₂²×D₅	C₂²×Q₈	1	8	yes	—
668	C₂²×D₅	C₂²×Q₈	1	32	yes	complemented
669	C₂²×D₅	C₂⁵	1	2	yes	—
670	C₂²×D₅	C₂⁵	1	4	yes	—
671	C₅×Q₈	—	4	8	no	—
672	C₅×Q₈	—	4	4	no	—
673	C₅×D₄	C₂²×Q₈	1	16	yes	complemented
674	C₂×C₄×C₅	—	2	2	no	—
675	C₂×C₄×C₅	—	2	4	no	—
676	C₂×C₄×C₅	—	2	2	no	—
677	C₂×C₄×C₅	—	2	4	no	—
678	C₂×C₄×C₅	—	2	2	no	—
679	C₂×C₄×C₅	—	2	4	no	—
680	C₂×C₄×C₅	—	2	2	no	—
681	C₂×C₄×C₅	—	2	2	no	—
682	C₂×C₄×C₅	—	2	2	no	—
683	C₂×C₄×C₅	—	4	8	no	—
684	C₂×C₄×C₅	—	4	8	no	—
685	C₂×C₄×C₅	—	4	8	no	—
686	C₂×C₄×C₅	C₂²×Q₈	1	4	yes	—
687	C₂×C₄×C₅	C₂⁵	1	2	yes	—
688	C₂×C₄×C₅	C₂⁵	1	2	yes	—
689	C₂×C₄×C₅	C₂⁵	1	4	yes	—
690	C₂×C₄×C₅	C₂⁵	1	4	yes	—
691	C₂×C₄×C₅	C₂⁵	1	2	yes	—
692	C₂×C₄×C₅	C₂⁵	1	2	yes	—
693	C₂×C₄×C₅	C₂⁵	1	2	yes	—
694	C₂×C₄×C₅	C₂⁵	1	4	yes	—
695	C₂×C₄×C₅	C₂⁵	1	2	yes	—
696	C₂×C₄×C₅	C₂⁵	1	2	yes	—
697	C₂²⋊D₅	C₂²×Q₈	1	32	yes	complemented
698	C₂×Dic₅	—	2	2	no	—
699	C₂×Dic₅	—	2	4	no	—
700	C₂×Dic₅	—	2	2	no	—
701	C₂×Dic₅	—	2	4	no	—
702	C₂×Dic₅	—	2	2	no	—
703	C₂×Dic₅	—	2	2	no	—
704	C₂×Dic₅	—	2	4	no	—
705	C₂×Dic₅	—	2	2	no	—
706	C₂×Dic₅	—	2	16	no	—
707	C₂×Dic₅	—	4	8	no	—
708	C₂×Dic₅	—	4	8	no	—
709	C₂×Dic₅	C₂²×Q₈	1	4	yes	—
710	C₂×Dic₅	H(5,𝔽₂)	1	4	yes	—
711	C₂×Dic₅	C₂⁵	1	2	yes	—
712	C₂×Dic₅	C₂⁵	1	2	yes	—
713	C₂×Dic₅	C₂⁵	1	4	yes	—
714	C₂×Dic₅	C₂⁵	1	2	yes	—
715	C₂×Dic₅	C₂⁵	1	2	yes	—
716	C₂×Dic₅	C₂⁵	1	4	yes	—
717	C₂×Dic₅	C₂⁵	1	2	yes	—
718	C₂×Dic₅	C₂⁵	1	4	yes	—
719	C₂×Dic₅	C₂⁵	1	2	yes	—
720	C₂×Dic₅	C₂⁵	1	2	yes	—
721	D₂₀	C₂²×Q₈	1	16	yes	complemented
722	C₄×D₅	—	2	8	no	—
723	C₄×D₅	—	2	16	no	—
724	C₄×D₅	—	4	8	no	—
725	C₄×D₅	—	4	8	no	—
726	C₄×D₅	—	4	4	no	—
727	C₄×D₅	—	4	8	no	—
728	C₄×D₅	—	4	8	no	—
729	C₄×D₅	—	4	8	no	—
730	C₄×D₅	—	4	8	no	—
731	C₄×D₅	C₂²×Q₈	1	16	yes	complemented
732	Dic₁₀	—	2	8	no	—
733	Dic₁₀	—	2	16	no	—
734	Dic₁₀	—	2	8	no	—
735	Dic₁₀	—	4	8	no	—
736	Dic₁₀	—	4	8	no	—
737	Dic₁₀	—	4	8	no	—
738	Dic₁₀	—	4	4	no	—
739	Dic₁₀	—	4	8	no	—
740	C₂⁵	—	5	2	no	—
741	C₂²×Q₈	—	5	16	no	—
742	C₂²×Q₈	—	5	2	no	—
743	C₂²×Q₈	—	5	1	no	—
744	C₂²×Q₈	—	5	1	no	—
745	C₂²×Q₈	—	5	2	no	—
746	C₂²×Q₈	—	5	1	no	—
747	C₂²×Q₈	—	5	2	no	—
748	C₂²×Q₈	—	5	2	no	—
749	C₂²×Q₈	—	5	2	no	—
750	C₂²×Q₈	—	5	16	no	—
751	C₂²×Q₈	—	20	8	no	—
752	C₂²×Q₈	—	20	8	no	—
753	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
754	C₂²×Q₈	C₂²×D₅	1	2	yes	—
755	C₂²×D₄	—	5	2	no	—
756	C₂²×D₄	—	5	16	no	—
757	C₂²×D₄	—	5	8	no	—
758	C₂²×D₄	—	5	1	no	—
759	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
760	C₂³×C₄	—	5	1	no	—
761	C₂³×C₄	—	5	2	no	—
762	C₂³×C₄	—	5	2	no	—
763	C₂³×C₄	—	5	2	no	—
764	C₂³×C₄	—	5	2	no	—
765	C₂³×C₄	—	5	1	no	—
766	C₂³×C₄	—	5	1	no	—
767	C₂³×C₄	—	5	2	no	—
768	C₂³×C₄	—	5	2	no	—
769	C₂³×C₄	—	5	2	no	—
770	C₂³×C₄	—	5	2	no	—
771	C₂³×C₄	—	5	2	no	—
772	C₂³×C₄	—	5	2	no	—
773	C₂³×C₄	—	5	16	no	—
774	C₂³×C₄	—	20	8	no	—
775	C₂³×C₄	C₂²×D₅	1	2	yes	—
776	C₂³×C₄	C₂²×D₅	1	2	yes	—
777	C₂³×C₄	C₂²×D₅	1	2	yes	—
778	C₄⋊Q₈	—	5	8	no	—
779	C₄⋊Q₈	—	5	16	no	—
780	C₄⋊Q₈	—	5	8	no	—
781	C₄⋊Q₈	—	5	8	no	—
782	C₄⋊Q₈	—	5	8	no	—
783	C₄⋊Q₈	—	5	16	no	—
784	C₄⋊Q₈	—	5	8	no	—
785	C₄⋊Q₈	—	5	8	no	—
786	C₄⋊Q₈	—	5	8	no	—
787	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
788	#125	—	5	8	no	—
789	#125	—	5	8	no	—
790	#125	—	5	16	no	—
791	#125	—	5	16	no	—
792	#125	—	5	8	no	—
793	#125	—	5	8	no	—
794	#125	—	5	8	no	—
795	#125	—	5	8	no	—
796	#125	C₂²×D₅	1	8	yes	complemented
797	#125	C₂²×D₅	1	8	yes	complemented
798	C₂²⋊Q₈	—	5	16	no	—
799	C₂²⋊Q₈	—	5	8	no	—
800	C₂²⋊Q₈	—	5	16	no	—
801	C₂²⋊Q₈	—	5	16	no	—
802	C₂²⋊Q₈	—	5	16	no	—
803	C₂²⋊Q₈	—	5	16	no	—
804	C₂²⋊Q₈	—	5	16	no	—
805	C₂²⋊Q₈	—	5	8	no	—
806	C₂²⋊Q₈	—	5	16	no	—
807	C₂²⋊Q₈	—	5	8	no	—
808	C₂²⋊Q₈	—	5	16	no	—
809	C₂²⋊Q₈	—	5	16	no	—
810	C₂²⋊Q₈	—	5	16	no	—
811	C₂²⋊Q₈	—	5	16	no	—
812	C₂²⋊Q₈	—	5	16	no	—
813	C₂²⋊Q₈	—	5	16	no	—
814	C₂²⋊Q₈	—	5	16	no	—
815	C₂²⋊Q₈	—	5	16	no	—
816	C₂²⋊Q₈	—	5	8	no	—
817	C₂²⋊Q₈	—	5	16	no	—
818	C₂²⋊Q₈	—	5	16	no	—
819	C₂²⋊Q₈	—	5	16	no	—
820	C₂²⋊Q₈	—	5	16	no	—
821	C₂²⋊Q₈	—	5	16	no	—
822	C₂²⋊Q₈	—	5	16	no	—
823	C₂²⋊Q₈	—	5	16	no	—
824	C₂²⋊Q₈	—	5	16	no	—
825	C₂²⋊Q₈	—	5	16	no	—
826	C₂²⋊Q₈	—	5	16	no	—
827	C₂²⋊Q₈	—	5	16	no	—
828	C₂²⋊Q₈	—	5	16	no	—
829	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
830	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
831	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
832	C₄×Q₈	—	5	16	no	—
833	C₄×Q₈	—	5	16	no	—
834	C₄×Q₈	—	5	8	no	—
835	C₄×Q₈	—	5	8	no	—
836	C₄×Q₈	—	5	8	no	—
837	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
838	C₄×D₄	—	5	8	no	—
839	C₄×D₄	—	5	8	no	—
840	C₄×D₄	—	5	8	no	—
841	C₄×D₄	—	5	16	no	—
842	C₄×D₄	—	5	16	no	—
843	C₄×D₄	—	5	16	no	—
844	C₄×D₄	—	5	8	no	—
845	C₄×D₄	—	5	8	no	—
846	C₄×D₄	—	5	8	no	—
847	C₄×D₄	—	5	16	no	—
848	C₄×D₄	—	5	16	no	—
849	C₄×D₄	—	5	16	no	—
850	C₄×D₄	—	5	8	no	—
851	C₄×D₄	—	5	8	no	—
852	C₄×D₄	—	5	8	no	—
853	C₄×D₄	C₂²×D₅	1	8	yes	—
854	C₄×D₄	C₂²×D₅	1	8	yes	—
855	C₄×D₄	C₂²×D₅	1	8	yes	—
856	#117	—	5	8	no	—
857	#117	—	5	8	no	—
858	#117	—	5	8	no	—
859	#117	—	5	8	no	—
860	C₂×C₄⋊C₄	—	5	1	no	—
861	C₂×C₄⋊C₄	—	5	2	no	—
862	C₂×C₄⋊C₄	—	5	1	no	—
863	C₂×C₄⋊C₄	—	5	2	no	—
864	C₂×C₄⋊C₄	—	5	1	no	—
865	C₂×C₄⋊C₄	—	5	1	no	—
866	C₂×C₄⋊C₄	—	5	2	no	—
867	C₂×C₄⋊C₄	—	5	1	no	—
868	C₂×C₄⋊C₄	—	5	2	no	—
869	C₂×C₄⋊C₄	—	5	2	no	—
870	C₂×C₄⋊C₄	—	5	2	no	—
871	C₂×C₄⋊C₄	—	5	2	no	—
872	C₂×C₄⋊C₄	—	5	2	no	—
873	C₂×C₄⋊C₄	—	5	2	no	—
874	C₂×C₄⋊C₄	—	5	2	no	—
875	C₂×C₄⋊C₄	—	5	2	no	—
876	C₂×C₄⋊C₄	—	5	2	no	—
877	C₂×C₄⋊C₄	—	5	16	no	—
878	C₂×C₄⋊C₄	—	5	16	no	—
879	C₂×C₄⋊C₄	—	5	1	no	—
880	C₂×C₄⋊C₄	—	5	1	no	—
881	C₂×C₄⋊C₄	—	5	1	no	—
882	C₂×C₄⋊C₄	—	5	1	no	—
883	C₂×C₄⋊C₄	—	5	1	no	—
884	C₂×C₄⋊C₄	—	5	1	no	—
885	C₂×C₄⋊C₄	—	5	1	no	—
886	C₂×C₄⋊C₄	—	5	1	no	—
887	C₂×C₄⋊C₄	—	5	2	no	—
888	C₂×C₄⋊C₄	—	5	1	no	—
889	C₂×C₄⋊C₄	—	5	1	no	—
890	C₂×C₄⋊C₄	—	5	2	no	—
891	C₂×C₄⋊C₄	—	5	1	no	—
892	C₂×C₄⋊C₄	—	5	8	no	—
893	C₂×C₄⋊C₄	—	5	16	no	—
894	C₂×C₄⋊C₄	—	5	16	no	—
895	C₂×C₄⋊C₄	—	5	16	no	—
896	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
898	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
900	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
902	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
903	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
906	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂²×D₅	1	16	yes	complemented
908	C₂×C₂²⋊C₄	—	5	2	no	—
909	C₂×C₂²⋊C₄	—	5	2	no	—
910	C₂×C₂²⋊C₄	—	5	2	no	—
911	C₂×C₂²⋊C₄	—	5	2	no	—
912	C₂×C₂²⋊C₄	—	5	1	no	—
913	C₂×C₂²⋊C₄	—	5	1	no	—
914	C₂×C₂²⋊C₄	—	5	2	no	—
915	C₂×C₂²⋊C₄	—	5	1	no	—
916	C₂×C₂²⋊C₄	—	5	1	no	—
917	C₂×C₂²⋊C₄	—	5	2	no	—
918	C₂×C₂²⋊C₄	—	5	2	no	—
919	C₂×C₂²⋊C₄	—	5	2	no	—
920	C₂×C₂²⋊C₄	—	5	2	no	—
921	C₂×C₂²⋊C₄	—	5	2	no	—
922	C₂×C₂²⋊C₄	—	5	2	no	—
923	C₂×C₂²⋊C₄	—	5	16	no	—
924	C₂×C₂²⋊C₄	—	5	16	no	—
925	C₂×C₂²⋊C₄	—	5	16	no	—
926	C₂×C₂²⋊C₄	—	5	16	no	—
927	C₂×C₂²⋊C₄	—	5	16	no	—
928	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
929	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
930	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
931	C₂×C₄²	—	5	2	no	—
932	C₂×C₄²	—	5	2	no	—
933	C₂×C₄²	—	5	1	no	—
934	C₂×C₄²	—	5	1	no	—
935	C₂×C₄²	—	5	1	no	—
936	C₂×C₄²	—	5	1	no	—
937	C₂×C₄²	—	5	1	no	—
938	C₂×C₄²	—	5	8	no	—
939	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
940	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
941	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
942	C₂²×C₅	—	2	4	no	—
943	C₂²×C₅	—	2	4	no	—
944	C₂²×C₅	—	2	16	no	—
945	C₂²×C₅	C₂³×Q₈	1	8	yes	—
946	C₂²×C₅	C₂³×Q₈	1	2	yes	—
947	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
948	C₂²×C₅	#585	1	2	yes	—
949	C₂²×C₅	C₂⁶	1	1	yes	characteristic
950	C₂×D₅	—	2	4	no	—
951	C₂×D₅	—	2	2	no	—
952	C₂×D₅	—	2	4	no	—
953	C₂×D₅	—	2	2	no	—
954	C₂×D₅	—	2	8	no	—
955	C₂×D₅	—	2	16	no	—
956	C₂×D₅	—	4	32	no	—
957	C₂×D₅	C₂³×Q₈	1	4	yes	—
958	C₂×D₅	C₂³×Q₈	1	8	yes	—
959	C₄×C₅	—	2	2	no	—
960	C₄×C₅	—	2	4	no	—
961	C₄×C₅	—	2	2	no	—
962	C₄×C₅	—	2	4	no	—
963	C₄×C₅	—	2	2	no	—
964	C₄×C₅	—	2	4	no	—
965	C₄×C₅	—	2	2	no	—
966	C₄×C₅	—	2	2	no	—
967	C₄×C₅	—	2	2	no	—
968	C₄×C₅	C₂³×Q₈	1	4	yes	—
969	Dic₅	—	2	2	no	—
970	Dic₅	—	2	4	no	—
971	Dic₅	—	2	2	no	—
972	Dic₅	—	2	4	no	—
973	Dic₅	—	2	2	no	—
974	Dic₅	—	2	2	no	—
975	Dic₅	—	2	4	no	—
976	Dic₅	—	2	2	no	—
977	Dic₅	C₂³×Q₈	1	4	yes	—
978	Dic₅	C₂×H(5,𝔽₂)	1	4	yes	—
979	C₂⁴	—	5	1	no	—
980	C₂⁴	—	5	2	no	—
981	C₂⁴	—	5	16	no	—
982	C₂⁴	—	5	8	no	—
983	C₂⁴	—	20	4	no	—
984	C₂⁴	—	20	4	no	—
985	C₂⁴	C₂³×D₅	1	2	yes	—
986	C₂×Q₈	—	4	4	no	—
987	C₂×Q₈	—	4	2	no	—
988	C₂×Q₈	—	5	8	no	—
989	C₂×Q₈	—	5	4	no	—
990	C₂×Q₈	—	5	4	no	—
991	C₂×Q₈	—	5	8	no	—
992	C₂×Q₈	—	5	4	no	—
993	C₂×Q₈	—	5	8	no	—
994	C₂×Q₈	—	5	8	no	—
995	C₂×Q₈	—	5	8	no	—
996	C₂×Q₈	—	10	4	no	—
997	C₂×Q₈	—	10	8	no	—
998	C₂×Q₈	—	10	4	no	—
999	C₂×Q₈	—	20	4	no	—
1000	C₂×Q₈	—	20	4	no	—
1001	C₂×Q₈	—	20	4	no	—
1002	C₂×Q₈	—	20	4	no	—
1003	C₂×Q₈	—	20	2	no	—
1004	C₂×Q₈	—	20	32	no	—
1005	C₂×Q₈	—	20	32	no	—
1006	C₂×Q₈	C₂³×D₅	1	4	yes	—
1007	C₂×Q₈	C₂³×D₅	1	8	yes	—
1008	C₂×D₄	—	5	16	no	—
1009	C₂×D₄	—	5	8	no	—
1010	C₂×D₄	—	5	64	no	—
1011	C₂×D₄	—	5	8	no	—
1012	C₂×D₄	—	5	4	no	—
1013	C₂×D₄	Q₈×D₅	1	8	yes	complemented
1014	C₂×D₄	C₂³×D₅	1	4	yes	—
1015	C₂²×C₄	—	4	4	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	4	4	no	—
1018	C₂²×C₄	—	5	1	no	—
1019	C₂²×C₄	—	5	1	no	—
1020	C₂²×C₄	—	5	8	no	—
1021	C₂²×C₄	—	5	4	no	—
1022	C₂²×C₄	—	5	8	no	—
1023	C₂²×C₄	—	5	1	no	—
1024	C₂²×C₄	—	5	1	no	—
1025	C₂²×C₄	—	5	2	no	—
1026	C₂²×C₄	—	5	1	no	—
1027	C₂²×C₄	—	5	1	no	—
1028	C₂²×C₄	—	5	2	no	—
1029	C₂²×C₄	—	5	1	no	—
1030	C₂²×C₄	—	5	2	no	—
1031	C₂²×C₄	—	5	8	no	—
1032	C₂²×C₄	—	5	8	no	—
1033	C₂²×C₄	—	5	4	no	—
1034	C₂²×C₄	—	5	8	no	—
1035	C₂²×C₄	—	5	4	no	—
1036	C₂²×C₄	—	5	8	no	—
1037	C₂²×C₄	—	5	8	no	—
1038	C₂²×C₄	—	5	8	no	—
1039	C₂²×C₄	—	5	8	no	—
1040	C₂²×C₄	—	5	8	no	—
1041	C₂²×C₄	—	5	8	no	—
1042	C₂²×C₄	—	10	4	no	—
1043	C₂²×C₄	—	10	8	no	—
1044	C₂²×C₄	—	10	8	no	—
1045	C₂²×C₄	—	20	4	no	—
1046	C₂²×C₄	—	20	4	no	—
1047	C₂²×C₄	—	20	4	no	—
1048	C₂²×C₄	—	20	4	no	—
1049	C₂²×C₄	—	20	4	no	—
1050	C₂²×C₄	—	20	4	no	—
1051	C₂²×C₄	—	20	2	no	—
1052	C₂²×C₄	—	20	32	no	—
1053	C₂²×C₄	—	20	4	no	—
1054	C₂²×C₄	—	20	4	no	—
1055	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₅	1	2	yes	—
1058	C₂²×C₄	C₂³×D₅	1	2	yes	—
1059	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₅	1	2	yes	—
1064	C₂²×C₄	C₂³×D₅	1	8	yes	—
1065	C₂²×C₄	C₂³×D₅	1	8	yes	—
1066	C₂²×C₄	C₂³×D₅	1	8	yes	—
1067	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1068	C₄⋊C₄	—	5	4	no	—
1069	C₄⋊C₄	—	5	8	no	—
1070	C₄⋊C₄	—	5	4	no	—
1071	C₄⋊C₄	—	5	8	no	—
1072	C₄⋊C₄	—	5	4	no	—
1073	C₄⋊C₄	—	5	4	no	—
1074	C₄⋊C₄	—	5	8	no	—
1075	C₄⋊C₄	—	5	4	no	—
1076	C₄⋊C₄	—	5	8	no	—
1077	C₄⋊C₄	—	5	8	no	—
1078	C₄⋊C₄	—	5	8	no	—
1079	C₄⋊C₄	—	5	8	no	—
1080	C₄⋊C₄	—	5	8	no	—
1081	C₄⋊C₄	—	5	8	no	—
1082	C₄⋊C₄	—	5	8	no	—
1083	C₄⋊C₄	—	5	8	no	—
1084	C₄⋊C₄	—	5	8	no	—
1085	C₄⋊C₄	—	5	4	no	—
1086	C₄⋊C₄	—	5	4	no	—
1087	C₄⋊C₄	—	5	4	no	—
1088	C₄⋊C₄	—	5	4	no	—
1089	C₄⋊C₄	—	5	4	no	—
1090	C₄⋊C₄	—	5	4	no	—
1091	C₄⋊C₄	—	5	4	no	—
1092	C₄⋊C₄	—	5	4	no	—
1093	C₄⋊C₄	—	5	8	no	—
1094	C₄⋊C₄	—	5	4	no	—
1095	C₄⋊C₄	—	5	4	no	—
1096	C₄⋊C₄	—	5	8	no	—
1097	C₄⋊C₄	—	5	4	no	—
1098	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1099	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1100	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1101	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1102	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1103	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1104	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1105	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1106	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1108	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1109	C₂²⋊C₄	—	5	8	no	—
1110	C₂²⋊C₄	—	5	8	no	—
1111	C₂²⋊C₄	—	5	8	no	—
1112	C₂²⋊C₄	—	5	8	no	—
1113	C₂²⋊C₄	—	5	4	no	—
1114	C₂²⋊C₄	—	5	4	no	—
1115	C₂²⋊C₄	—	5	8	no	—
1116	C₂²⋊C₄	—	5	4	no	—
1117	C₂²⋊C₄	—	5	4	no	—
1118	C₂²⋊C₄	—	5	8	no	—
1119	C₂²⋊C₄	—	5	8	no	—
1120	C₂²⋊C₄	—	5	8	no	—
1121	C₂²⋊C₄	—	5	8	no	—
1122	C₂²⋊C₄	—	5	8	no	—
1123	C₂²⋊C₄	—	5	8	no	—
1124	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1125	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1126	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1127	C₄²	—	5	4	no	—
1128	C₄²	—	5	4	no	—
1129	C₄²	—	5	4	no	—
1130	C₄²	—	5	8	no	—
1131	C₄²	—	5	8	no	—
1132	C₄²	—	5	4	no	—
1133	C₄²	—	5	4	no	—
1134	C₄²	C₂³×D₅	1	4	yes	—
1135	C₄²	C₂³×D₅	1	4	yes	—
1136	C₄²	C₂³×D₅	1	4	yes	—
1137	C₂×C₅	—	2	8	no	—
1138	C₂×C₅	#3501	1	4	yes	complemented
1139	C₂×C₅	C₂⁴×Q₈	1	1	yes	characteristic
1140	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1141	C₂×C₅	C₂×#585	1	1	yes	characteristic
1142	D₅	—	2	4	no	—
1143	D₅	—	2	8	no	—
1144	C₂³	—	2	4	no	—
1145	C₂³	—	2	4	no	—
1146	C₂³	—	5	4	no	—
1147	C₂³	—	5	8	no	—
1148	C₂³	—	5	2	no	—
1149	C₂³	—	5	4	no	—
1150	C₂³	—	5	32	no	—
1151	C₂³	—	10	4	no	—
1152	C₂³	—	10	2	no	—
1153	C₂³	—	10	4	no	—
1154	C₂³	—	10	2	no	—
1155	C₂³	—	20	8	no	—
1156	C₂³	—	20	8	no	—
1157	C₂³	—	20	32	no	—
1158	C₂³	C₂×Q₈×D₅	1	8	yes	—
1159	C₂³	C₂⁴×D₅	1	4	yes	—
1160	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1161	Q₈	—	4	8	no	—
1162	Q₈	—	4	4	no	—
1163	Q₈	—	10	8	no	—
1164	Q₈	—	10	16	no	—
1165	Q₈	—	10	8	no	—
1166	Q₈	—	20	8	no	—
1167	Q₈	—	20	8	no	—
1168	Q₈	—	20	8	no	—
1169	Q₈	—	20	8	no	—
1170	Q₈	—	20	4	no	—
1171	D₄	—	5	32	no	—
1172	D₄	—	5	16	no	—
1173	D₄	C₂×Q₈×D₅	1	16	yes	complemented
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	4	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	4	no	—
1181	C₂×C₄	—	2	4	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	4	8	no	—
1184	C₂×C₄	—	4	8	no	—
1185	C₂×C₄	—	4	8	no	—
1186	C₂×C₄	—	5	4	no	—
1187	C₂×C₄	—	5	4	no	—
1188	C₂×C₄	—	5	2	no	—
1189	C₂×C₄	—	5	2	no	—
1190	C₂×C₄	—	5	16	no	—
1191	C₂×C₄	—	5	2	no	—
1192	C₂×C₄	—	5	2	no	—
1193	C₂×C₄	—	5	4	no	—
1194	C₂×C₄	—	5	2	no	—
1195	C₂×C₄	—	5	2	no	—
1196	C₂×C₄	—	5	4	no	—
1197	C₂×C₄	—	5	2	no	—
1198	C₂×C₄	—	5	4	no	—
1199	C₂×C₄	—	10	8	no	—
1200	C₂×C₄	—	10	16	no	—
1201	C₂×C₄	—	10	16	no	—
1202	C₂×C₄	—	10	2	no	—
1203	C₂×C₄	—	10	4	no	—
1204	C₂×C₄	—	10	2	no	—
1205	C₂×C₄	—	10	2	no	—
1206	C₂×C₄	—	10	4	no	—
1207	C₂×C₄	—	10	2	no	—
1208	C₂×C₄	—	10	4	no	—
1209	C₂×C₄	—	10	2	no	—
1210	C₂×C₄	—	20	8	no	—
1211	C₂×C₄	—	20	8	no	—
1212	C₂×C₄	—	20	8	no	—
1213	C₂×C₄	—	20	8	no	—
1214	C₂×C₄	—	20	8	no	—
1215	C₂×C₄	—	20	8	no	—
1216	C₂×C₄	—	20	4	no	—
1217	C₂×C₄	—	20	8	no	—
1218	C₂×C₄	—	20	8	no	—
1219	C₂×C₄	C₂×Q₈×D₅	1	4	yes	—
1220	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1221	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1222	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1223	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1224	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1225	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1226	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1227	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1228	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1229	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1230	C₅	C₂×#3501	1	1	yes	characteristic, complemented, Sylow
1231	C₂²	—	2	4	no	—
1232	C₂²	—	2	4	no	—
1233	C₂²	—	2	16	no	—
1234	C₂²	—	5	4	no	—
1235	C₂²	—	5	8	no	—
1236	C₂²	—	10	4	no	—
1237	C₂²	—	10	2	no	—
1238	C₂²	—	10	4	no	—
1239	C₂²	—	10	2	no	—
1240	C₂²	—	10	8	no	—
1241	C₂²	—	10	16	no	—
1242	C₂²	—	20	32	no	—
1243	C₂²	C₂²×Q₈×D₅	1	8	yes	—
1244	C₂²	C₂²×Q₈×D₅	1	2	yes	—
1245	C₂²	#66283	1	2	yes	—
1246	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1247	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1248	C₄	—	2	2	no	—
1249	C₄	—	2	4	no	—
1250	C₄	—	2	2	no	—
1251	C₄	—	2	2	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	4	no	—
1255	C₄	—	2	4	no	—
1256	C₄	—	2	2	no	—
1257	C₄	—	5	4	no	—
1258	C₄	—	5	4	no	—
1259	C₄	—	10	2	no	—
1260	C₄	—	10	4	no	—
1261	C₄	—	10	2	no	—
1262	C₄	—	10	2	no	—
1263	C₄	—	10	4	no	—
1264	C₄	—	10	2	no	—
1265	C₄	—	10	4	no	—
1266	C₄	—	10	2	no	—
1267	C₄	C₂²×Q₈×D₅	1	4	yes	—
1268	C₂	—	2	8	no	—
1269	C₂	—	10	4	no	—
1270	C₂	—	10	8	no	—
1271	C₂	#10618850	1	4	yes	direct product factor
1272	C₂	C₂³×Q₈×D₅	1	1	yes	characteristic
1273	C₂	C₂×#66283	1	1	yes	characteristic
1274	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#554	C₂
socle	C₂³×C₅	C₂⁵
prime radical	C₂²×D₄×D₅	C₂²
hypercenter	C₂×#554	D₅
hypocenter	C₅	C₂×#3501
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#554

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#554	C₂	semidirect
2. #10618850	C₂	direct (N × H)
3. C₂×#66061	C₂	semidirect
4. C₂×#66063	C₂	semidirect
5. C₂×#66023	C₂	semidirect
6. C₂×#66024	C₂	semidirect
7. C₂×#66024	C₂	semidirect
8. C₂×#66022	C₂	semidirect
9. C₂×#65968	C₂	semidirect
10. C₂×#65968	C₂	semidirect
11. C₂×D₅×C₂²⋊Q₈	C₂	semidirect
12. C₂×#65970	C₂	semidirect
13. C₂×#65970	C₂	semidirect
14. C₂×#65966	C₂	semidirect
15. C₂×#65913	C₂	semidirect
16. C₂×#65912	C₂	semidirect
20. C₂×#65873	C₂	semidirect
21. C₂×#65873	C₂	semidirect
22. C₂×D₄×Dic₁₀	C₂	semidirect
23. C₂²×#4042	C₂	semidirect
24. C₂×#65845	C₂	semidirect
25. C₂²×Q₈×D₅	C₂²	semidirect
28. C₂³×Dic₁₀	C₂²	semidirect
29. C₅×#554	C₂²	semidirect
30. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
31. C₂×C₅×#125	C₂²	semidirect
32. C₂×C₅×#125	C₂²	semidirect
33. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
34. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₄×C₅×Q₈	C₂²	semidirect
40. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
43. C₂×#4092	C₂²	semidirect
44. C₂×#4092	C₂²	semidirect
45. C₂×#4090	C₂²	semidirect
46. C₂×#4090	C₂²	semidirect
55. C₂×#4070	C₂²	semidirect
56. C₂×#4070	C₂²	semidirect
57. C₂×#4070	C₂²	semidirect
58. C₂²×#683	C₂²	semidirect
59. C₂²×#683	C₂²	semidirect
60. #66063	C₂²	semidirect
61. #66061	C₂²	semidirect
62. #66024	C₂²	semidirect
63. #66024	C₂²	semidirect
64. #66023	C₂²	semidirect
65. #66022	C₂²	semidirect
66. #65970	C₂²	semidirect
67. #65970	C₂²	semidirect
68. #65968	C₂²	semidirect
69. #65968	C₂²	semidirect
70. #65966	C₂²	semidirect
71. D₅×C₂²⋊Q₈	C₂²	semidirect
72. #65913	C₂²	semidirect
73. #65912	C₂²	semidirect
77. #65873	C₂²	semidirect
78. #65873	C₂²	semidirect
79. D₄×Dic₁₀	C₂²	semidirect
80. #65845	C₂²	semidirect
83. C₂×#4043	C₂²	semidirect
84. C₂×#4043	C₂²	semidirect
91. C₂×#4042	C₂²	semidirect
92. C₂×#4042	C₂²	semidirect
93. C₂×#4042	C₂²	semidirect
94. C₂×#4042	C₂²	semidirect
95. C₂×#4042	C₂²	semidirect
96. C₂×#4042	C₂²	semidirect
97. C₂×#4042	C₂²	semidirect
98. C₂×#4042	C₂²	semidirect
99. C₂×#4042	C₂²	semidirect
106. C₂×D₅×C₄⋊C₄	C₂²	semidirect
107. C₂×D₅×C₄⋊C₄	C₂²	semidirect
108. C₂×D₅×C₄⋊C₄	C₂²	semidirect
109. C₂×#4036	C₂²	semidirect
110. C₂×#4036	C₂²	semidirect
111. C₂×#4035	C₂²	semidirect
112. C₂×#4035	C₂²	semidirect
113. C₂×#4035	C₂²	semidirect
114. C₂×#4035	C₂²	semidirect
115. C₂×#4034	C₂²	semidirect
116. C₂×#4034	C₂²	semidirect
117. C₂×#4034	C₂²	semidirect
118. C₂×#4034	C₂²	semidirect
119. C₂×#4034	C₂²	semidirect
120. C₂×#4034	C₂²	semidirect
121. C₂×#4033	C₂²	semidirect
122. C₂×#4033	C₂²	semidirect
129. C₂×#4024	C₂²	semidirect
130. C₂×#4024	C₂²	semidirect
131. C₂×#4024	C₂²	semidirect
132. C₂×#4024	C₂²	semidirect
133. C₂×#4024	C₂²	semidirect
134. C₂×#4024	C₂²	semidirect
141. C₂×#4016	C₂²	semidirect
142. C₂×#4016	C₂²	semidirect
143. C₂×#4015	C₂²	semidirect
144. C₂×C₄×Dic₁₀	C₂²	semidirect
145. C₂×C₄×Dic₁₀	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
160. C₂×Q₈×D₅	C₂³	semidirect
161. C₂×D₄×D₅	Q₈	semidirect
185. C₂²×Dic₁₀	C₂³	semidirect
186. C₅×C₄⋊Q₈	C₂³	semidirect
187. C₅×#125	C₂³	semidirect
188. C₅×#125	C₂³	semidirect
189. C₅×C₂²⋊Q₈	C₂³	semidirect
190. C₅×C₂²⋊Q₈	C₂³	semidirect
191. C₅×C₂²⋊Q₈	C₂³	semidirect
192. C₄×C₅×Q₈	C₂³	semidirect
207. C₂×C₅×C₄⋊C₄	C₂³	semidirect
219. #4092	C₂³	semidirect
220. #4092	C₂³	semidirect
221. #4090	C₂³	semidirect
222. #4090	C₂³	semidirect
252. #4070	C₂³	semidirect
253. #4070	C₂³	semidirect
254. #4070	C₂³	semidirect
276. C₂×#683	C₂³	semidirect
277. C₂×#683	C₂³	semidirect
287. #4043	C₂³	semidirect
288. #4043	C₂³	semidirect
295. #4042	C₂³	semidirect
296. #4042	C₂³	semidirect
297. #4042	C₂³	semidirect
298. #4042	C₂³	semidirect
299. #4042	C₂³	semidirect
300. #4042	C₂³	semidirect
301. #4042	C₂³	semidirect
302. #4042	C₂³	semidirect
309. D₅×C₄⋊C₄	C₂³	semidirect
310. D₅×C₄⋊C₄	C₂³	semidirect
311. D₅×C₄⋊C₄	C₂³	semidirect
312. #4036	C₂³	semidirect
313. #4036	C₂³	semidirect
314. #4035	C₂³	semidirect
315. #4035	C₂³	semidirect
316. #4035	C₂³	semidirect
317. #4035	C₂³	semidirect
318. #4034	C₂³	semidirect
319. #4034	C₂³	semidirect
320. #4034	C₂³	semidirect
321. #4034	C₂³	semidirect
322. #4034	C₂³	semidirect
323. #4034	C₂³	semidirect
324. #4033	C₂³	semidirect
325. #4033	C₂³	semidirect
332. #4024	C₂³	semidirect
333. #4024	C₂³	semidirect
334. #4024	C₂³	semidirect
335. #4024	C₂³	semidirect
336. #4024	C₂³	semidirect
337. #4024	C₂³	semidirect
344. #4016	C₂³	semidirect
345. #4016	C₂³	semidirect
346. #4015	C₂³	semidirect
347. C₄×Dic₁₀	C₂³	semidirect
348. C₄×Dic₁₀	C₂³	semidirect
349. C₄×Dic₁₀	C₂³	semidirect
359. C₂×#554	D₅	semidirect
377. C₂³×D₅	C₂×Q₈	semidirect
385. C₂×C₅×D₄	C₂×Q₈	semidirect
403. C₂×C₂²⋊D₅	C₂×Q₈	semidirect
422. D₄×D₅	C₂×Q₈	semidirect
423. C₂×D₂₀	C₂×Q₈	semidirect
435. C₂×C₄×D₅	C₂×Q₈	semidirect
544. #554	C₂×D₅	semidirect
563. C₂×C₄⋊Q₈	C₂×D₅	semidirect
572. C₂×#125	C₂×D₅	semidirect
573. C₂×#125	C₂×D₅	semidirect
607. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
608. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
609. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
617. C₂×C₄×Q₈	C₂×D₅	semidirect
647. C₂²×C₄⋊C₄	C₂×D₅	semidirect
668. C₂²×D₅	C₂²×Q₈	semidirect
673. C₅×D₄	C₂²×Q₈	semidirect
697. C₂²⋊D₅	C₂²×Q₈	semidirect
721. D₂₀	C₂²×Q₈	semidirect
731. C₄×D₅	C₂²×Q₈	semidirect
787. C₄⋊Q₈	C₂²×D₅	semidirect
796. #125	C₂²×D₅	semidirect
797. #125	C₂²×D₅	semidirect
829. C₂²⋊Q₈	C₂²×D₅	semidirect
830. C₂²⋊Q₈	C₂²×D₅	semidirect
831. C₂²⋊Q₈	C₂²×D₅	semidirect
837. C₄×Q₈	C₂²×D₅	semidirect
907. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1013. C₂×D₄	Q₈×D₅	semidirect
1138. C₂×C₅	#3501	semidirect
1173. D₄	C₂×Q₈×D₅	semidirect
1230. C₅	C₂×#3501	semidirect
1271. C₂	#10618850	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×#554	2
#10618850	2
C₂×#66061	2
C₂×#66063	2
C₂×#66023	2
C₂×#66024	2
C₂×#66022	2
C₂×#65968	2
C₂×D₅×C₂²⋊Q₈	2
C₂×#65970	2
C₂×#65966	2
C₂×#65913	2
C₂×#65912	2
C₂×#65879	2
C₂×C₄×D₄×D₅	2
C₂×#65873	2
C₂×D₄×Dic₁₀	2
C₂²×#4042	2
C₂×#65845	2
C₂×#3501	5

Subgroups — C2×#10618850 #13007201

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618850 #13007201