Subgroups — C₂×#10618263 #13006652

Order 1280.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#536	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#66165	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#66163	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66151	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×Q₈×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
6	#10618263	C₂	1	32	yes	maximal, direct product factor
7	C₂×#66061	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66058	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66066	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66062	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#66010	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#66016	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#66005	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#66001	C₂	1	2	yes	maximal, complemented
16	C₂×#65993	C₂	1	2	yes	maximal, complemented
17	C₂×#65991	C₂	1	2	yes	maximal, complemented
18	C₂×#65996	C₂	1	2	yes	maximal, complemented
19	C₂×#65971	C₂	1	2	yes	maximal, complemented
20	C₂×#65968	C₂	1	2	yes	maximal, complemented
21	C₂×#65980	C₂	1	2	yes	maximal, complemented
22	C₂×#65974	C₂	1	2	yes	maximal, complemented
23	C₂×#65868	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65862	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
26	C₂³×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#713	C₂²	1	1	yes	characteristic
28	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
29	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
31	C₅×#536	C₂²	1	16	yes	complemented
32	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₅×#124	C₂²	1	1	yes	characteristic
35	C₂×C₅×#124	C₂²	1	1	yes	characteristic
36	C₂×C₅×#123	C₂²	1	2	yes	complemented
37	C₂×C₅×#123	C₂²	1	2	yes	complemented
38	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
39	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
40	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
41	#66165	C₂²	1	16	yes	complemented
42	#66163	C₂²	1	16	yes	complemented
43	#66151	C₂²	1	16	yes	complemented
44	Q₈×C₂²⋊D₅	C₂²	1	16	yes	complemented
45	C₂×#4093	C₂²	1	1	yes	characteristic
46	C₂×#4093	C₂²	1	1	yes	characteristic
47	C₂×#4093	C₂²	1	2	yes	complemented
48	C₂×#4092	C₂²	1	1	yes	characteristic
49	C₂×#4092	C₂²	1	2	yes	—
50	C₂×#4092	C₂²	1	1	yes	characteristic
51	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
52	C₂×#4092	C₂²	1	2	yes	complemented
53	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
54	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
55	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
56	C₂×#4090	C₂²	1	2	yes	complemented
57	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
58	C₂×#4085	C₂²	1	2	yes	—
59	C₂×#4084	C₂²	1	1	yes	characteristic
60	C₂×#4084	C₂²	1	2	yes	complemented
61	C₂×#4083	C₂²	1	2	yes	—
62	C₂×#4082	C₂²	1	1	yes	characteristic
63	C₂×#4082	C₂²	1	2	yes	complemented
64	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
65	C₂×#4076	C₂²	1	1	yes	characteristic
66	C₂×#4076	C₂²	1	2	yes	complemented
67	C₂×#4075	C₂²	1	2	yes	—
68	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
69	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
70	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
71	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
73	C₂²×#685	C₂²	1	2	yes	—
74	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
75	C₂×#4070	C₂²	1	2	yes	complemented
76	C₂×#4070	C₂²	1	2	yes	complemented
77	#66066	C₂²	1	16	yes	complemented
78	#66062	C₂²	1	16	yes	complemented
79	#66061	C₂²	1	16	yes	complemented
80	#66058	C₂²	1	16	yes	complemented
81	#66016	C₂²	1	16	yes	complemented
82	#66010	C₂²	1	16	yes	complemented
83	D₅×#124	C₂²	1	16	yes	complemented
84	#66005	C₂²	1	16	yes	complemented
85	#66001	C₂²	1	32	yes	complemented
86	#65996	C₂²	1	32	yes	complemented
87	#65993	C₂²	1	32	yes	complemented
88	#65991	C₂²	1	32	yes	complemented
89	#65980	C₂²	1	32	yes	complemented
90	#65974	C₂²	1	32	yes	complemented
91	#65971	C₂²	1	32	yes	complemented
92	#65968	C₂²	1	32	yes	complemented
93	#65868	C₂²	1	16	yes	complemented
94	#65862	C₂²	1	16	yes	complemented
95	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
96	C₂×#4044	C₂²	1	2	yes	complemented
97	C₂×#4044	C₂²	1	2	yes	complemented
98	C₂×#4044	C₂²	1	2	yes	complemented
99	C₂×#4043	C₂²	1	2	yes	—
100	C₂×#4043	C₂²	1	2	yes	complemented
101	C₂×#4042	C₂²	1	2	yes	—
102	C₂×#4042	C₂²	1	1	yes	characteristic
103	C₂×#4042	C₂²	1	2	yes	complemented
104	C₂×#4042	C₂²	1	2	yes	complemented
105	C₂×#4042	C₂²	1	2	yes	complemented
106	C₂×#4042	C₂²	1	2	yes	complemented
107	C₂×#4040	C₂²	1	1	yes	characteristic
108	C₂×#4040	C₂²	1	2	yes	complemented
109	C₂×#4040	C₂²	1	2	yes	complemented
110	C₂×#4039	C₂²	1	2	yes	—
111	C₂×#4038	C₂²	1	2	yes	—
112	C₂×#4038	C₂²	1	2	yes	complemented
113	C₂×#4036	C₂²	1	2	yes	complemented
114	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
115	C₂×#4034	C₂²	1	2	yes	complemented
116	C₂×#4033	C₂²	1	2	yes	complemented
117	C₂×#4032	C₂²	1	2	yes	complemented
118	C₂×#4031	C₂²	1	2	yes	—
119	C₂×#4031	C₂²	1	2	yes	—
120	C₂×#4031	C₂²	1	2	yes	complemented
121	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
122	C₂×#4031	C₂²	1	2	yes	complemented
123	C₂×#4030	C₂²	1	2	yes	—
124	C₂×#4030	C₂²	1	1	yes	characteristic
125	C₂×#4029	C₂²	1	2	yes	—
126	C₂×#4029	C₂²	1	1	yes	characteristic
127	C₂×#4029	C₂²	1	2	yes	complemented
128	C₂×#4028	C₂²	1	2	yes	—
129	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
130	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
131	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
132	C₂×#4025	C₂²	1	2	yes	complemented
133	C₂×#4025	C₂²	1	2	yes	complemented
134	C₂×#4025	C₂²	1	2	yes	complemented
135	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
136	C₂×#4024	C₂²	1	2	yes	complemented
137	C₂×#4024	C₂²	1	2	yes	complemented
138	C₂×#4023	C₂²	1	2	yes	complemented
139	C₂×#4021	C₂²	1	1	yes	characteristic
140	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
142	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
144	C₂×#4015	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×#3561	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂×C₅×#41	—	4	4	no	—
150	C₂×C₅×#41	C₂³	1	8	yes	—
151	C₂²×C₅×Q₈	—	4	4	no	—
152	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
153	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
154	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
155	C₂²×C₅×Q₈	C₂³	1	2	yes	—
156	C₂²×C₅×Q₈	C₂³	1	8	yes	complemented
157	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₂²×C₅×D₄	C₂³	1	2	yes	—
159	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₅	C₂³	1	2	yes	—
161	C₂³×C₄×C₅	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
167	C₂³×Dic₅	C₂³	1	2	yes	—
168	C₂×#713	—	4	4	no	—
169	C₂×#713	C₂³	1	8	yes	—
170	C₂×Q₈×D₅	—	4	4	no	—
171	C₂×Q₈×D₅	—	4	4	no	—
172	C₂×Q₈×D₅	C₂³	1	8	yes	—
173	C₂×Q₈×D₅	C₂³	1	8	yes	complemented
174	C₂×D₄×D₅	—	4	4	no	—
175	C₂×D₄×D₅	C₂³	1	8	yes	—
176	C₂²×D₂₀	C₂³	1	1	yes	characteristic
177	C₂²×D₂₀	C₂³	1	1	yes	characteristic
178	C₂²×D₂₀	C₂³	1	2	yes	—
179	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₅	C₂³	1	2	yes	—
184	C₂²×C₄×D₅	C₂³	1	2	yes	—
185	C₂²×C₄×D₅	C₂³	1	2	yes	—
186	C₂²×C₄×D₅	C₂³	1	2	yes	—
187	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₀	C₂³	1	2	yes	—
190	C₂²×Dic₁₀	C₂³	1	2	yes	—
191	C₂²×Dic₁₀	C₂³	1	2	yes	—
192	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
193	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
194	C₅×#124	C₂³	1	8	yes	—
195	C₅×#124	C₂³	1	8	yes	—
196	C₅×#123	C₂³	1	16	yes	complemented
197	C₅×#123	C₂³	1	16	yes	complemented
198	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
199	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
200	C₅×#117	C₂³	1	8	yes	complemented
201	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
216	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
217	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
218	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
219	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
222	#4093	C₂³	1	8	yes	—
223	#4093	C₂³	1	8	yes	—
224	#4093	C₂³	1	16	yes	complemented
225	#4092	C₂³	1	8	yes	—
226	#4092	C₂³	1	8	yes	—
227	#4092	C₂³	1	16	yes	—
228	#4092	C₂³	1	8	yes	complemented
229	#4092	C₂³	1	16	yes	complemented
230	Q₈×Dic₅	C₂³	1	8	yes	complemented
231	Q₈×Dic₅	C₂³	1	8	yes	complemented
232	Q₈×Dic₅	C₂³	1	8	yes	complemented
233	#4090	C₂³	1	8	yes	complemented
234	#4090	C₂³	1	16	yes	complemented
235	#4085	C₂³	1	16	yes	—
236	#4084	C₂³	1	8	yes	—
237	#4084	C₂³	1	16	yes	complemented
238	#4083	C₂³	1	16	yes	—
239	#4082	C₂³	1	8	yes	—
240	#4082	C₂³	1	16	yes	complemented
241	D₄×Dic₅	C₂³	1	8	yes	—
242	#4076	C₂³	1	8	yes	—
243	#4076	C₂³	1	16	yes	complemented
244	#4075	C₂³	1	16	yes	—
245	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
246	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
247	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
248	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
249	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
250	C₂×#685	C₂³	1	1	yes	characteristic
251	C₂×#685	C₂³	1	1	yes	characteristic
252	C₂×#685	C₂³	1	1	yes	characteristic
253	C₂×#685	C₂³	1	2	yes	—
254	C₂×#685	C₂³	1	1	yes	characteristic
255	C₂×#685	C₂³	1	2	yes	—
256	C₂×#685	C₂³	1	2	yes	—
257	C₂×#685	C₂³	1	2	yes	—
258	C₂×#685	C₂³	1	2	yes	—
259	C₂×#685	C₂³	1	2	yes	—
260	C₂×#685	C₂³	1	2	yes	—
261	C₂×#685	C₂³	1	2	yes	—
262	C₂×#685	C₂³	1	2	yes	—
263	C₂×#685	C₂³	1	1	yes	characteristic
264	C₂×#685	C₂³	1	1	yes	characteristic
265	C₂×#685	C₂³	1	2	yes	—
266	C₂×#685	C₂³	1	2	yes	—
267	C₂×#685	C₂³	1	16	yes	—
268	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
272	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
274	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
276	#4070	C₂³	1	8	yes	complemented
277	#4070	C₂³	1	16	yes	complemented
278	#4070	C₂³	1	16	yes	complemented
279	C₂×#683	C₂³	1	1	yes	characteristic
280	C₂×#683	C₂³	1	2	yes	—
281	C₂×#683	C₂³	1	1	yes	characteristic
282	C₂×#683	C₂³	1	1	yes	characteristic
283	C₂×#683	C₂³	1	1	yes	characteristic
284	C₂×#683	C₂³	1	2	yes	—
285	C₂×#683	C₂³	1	2	yes	—
286	C₂×#683	C₂³	1	2	yes	—
287	C₂×#683	C₂³	1	2	yes	—
288	C₂×#683	C₂³	1	2	yes	—
289	C₂×#683	C₂³	1	1	yes	characteristic
290	C₂×#683	C₂³	1	1	yes	characteristic
291	C₂×#683	C₂³	1	2	yes	—
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₅	C₂³	1	2	yes	—
295	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₅	C₂³	1	2	yes	—
298	C₂×C₄×Dic₅	C₂³	1	2	yes	—
299	C₂×C₄×Dic₅	C₂³	1	2	yes	—
300	#4044	C₂³	1	16	yes	complemented
301	#4044	C₂³	1	16	yes	complemented
302	#4044	C₂³	1	8	yes	complemented
303	#4044	C₂³	1	16	yes	complemented
304	#4043	C₂³	1	16	yes	—
305	#4043	C₂³	1	16	yes	complemented
306	#4042	C₂³	1	16	yes	—
307	#4042	C₂³	1	8	yes	—
308	#4042	C₂³	1	16	yes	complemented
309	#4042	C₂³	1	16	yes	complemented
310	#4042	C₂³	1	16	yes	complemented
311	#4042	C₂³	1	16	yes	complemented
312	#4040	C₂³	1	8	yes	—
313	#4040	C₂³	1	16	yes	complemented
314	#4040	C₂³	1	16	yes	complemented
315	#4039	C₂³	1	16	yes	—
316	#4038	C₂³	1	16	yes	—
317	#4038	C₂³	1	16	yes	complemented
318	#4036	C₂³	1	16	yes	complemented
319	#4035	C₂³	1	8	yes	complemented
320	#4034	C₂³	1	16	yes	complemented
321	#4033	C₂³	1	16	yes	complemented
322	#4032	C₂³	1	16	yes	complemented
323	#4031	C₂³	1	16	yes	—
324	#4031	C₂³	1	16	yes	—
325	#4031	C₂³	1	8	yes	complemented
326	#4031	C₂³	1	16	yes	complemented
327	#4031	C₂³	1	16	yes	complemented
328	#4030	C₂³	1	8	yes	—
329	#4030	C₂³	1	16	yes	—
330	#4029	C₂³	1	8	yes	—
331	#4029	C₂³	1	16	yes	—
332	#4029	C₂³	1	16	yes	complemented
333	#4028	C₂³	1	16	yes	—
334	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
335	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
336	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
337	#4025	C₂³	1	8	yes	complemented
338	#4025	C₂³	1	16	yes	complemented
339	#4025	C₂³	1	16	yes	complemented
340	#4025	C₂³	1	16	yes	complemented
341	#4024	C₂³	1	16	yes	complemented
342	#4024	C₂³	1	16	yes	complemented
343	#4023	C₂³	1	16	yes	complemented
344	#4021	C₂³	1	8	yes	—
345	C₄×D₂₀	C₂³	1	8	yes	—
346	C₄×D₂₀	C₂³	1	8	yes	—
347	#4018	C₂³	1	8	yes	complemented
348	C₄²×D₅	C₂³	1	8	yes	—
349	#4015	C₂³	1	8	yes	complemented
350	C₄×Dic₁₀	C₂³	1	8	yes	complemented
351	C₄×Dic₁₀	C₂³	1	8	yes	complemented
352	#3561	—	5	32	no	—
353	C₂×#563	—	5	2	no	—
354	C₂×#562	—	5	2	no	—
355	C₂×#556	—	5	1	no	—
356	C₂×#556	—	5	1	no	—
357	C₂×#551	—	5	2	no	—
358	C₂×#551	—	5	2	no	—
359	C₂×D₄×Q₈	—	5	1	no	—
360	C₂×D₄×Q₈	—	5	1	no	—
361	C₂×#548	—	5	1	no	—
362	C₂×#548	—	5	1	no	—
363	C₂×#546	—	5	1	no	—
364	C₂×#546	—	5	1	no	—
365	C₂×#543	—	5	2	no	—
366	C₂×#542	—	5	1	no	—
367	C₂×#542	—	5	2	no	—
368	C₂×#542	—	5	2	no	—
369	C₂×#542	—	5	1	no	—
370	C₂×#538	—	5	2	no	—
371	C₂×#536	—	5	1	no	—
372	C₂×#536	D₅	1	1	yes	characteristic, complemented
373	C₂×#533	—	5	1	no	—
374	C₂×#529	—	5	1	no	—
375	C₂²×#124	—	5	1	no	—
376	C₂⁴×C₅	C₂⁴	1	2	yes	—
377	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
378	C₂³×D₅	—	2	8	no	—
379	C₂³×D₅	—	4	4	no	—
380	C₂³×D₅	—	4	4	no	—
381	C₂³×D₅	C₂⁴	1	1	yes	characteristic
382	C₂³×D₅	C₂⁴	1	2	yes	—
383	C₂³×D₅	C₂⁴	1	1	yes	characteristic
384	C₂³×D₅	C₂⁴	1	8	yes	—
385	C₅×#41	—	4	16	no	—
386	C₂×C₅×Q₈	—	2	4	no	—
387	C₂×C₅×Q₈	—	2	4	no	—
388	C₂×C₅×Q₈	—	2	4	no	—
389	C₂×C₅×Q₈	—	4	4	no	—
390	C₂×C₅×Q₈	—	4	16	no	—
391	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
392	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
393	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
394	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
395	C₂×C₅×D₄	—	2	4	no	—
396	C₂×C₅×D₄	—	4	4	no	—
397	C₂×C₅×D₄	C₂⁴	1	4	yes	—
398	C₂×C₅×D₄	C₂⁴	1	8	yes	—
399	C₂²×C₄×C₅	—	2	4	no	—
400	C₂²×C₄×C₅	—	4	4	no	—
401	C₂²×C₄×C₅	—	4	4	no	—
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
407	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
408	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
409	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
411	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
412	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂×C₂²⋊D₅	—	2	4	no	—
415	C₂×C₂²⋊D₅	—	4	4	no	—
416	C₂×C₂²⋊D₅	—	4	4	no	—
417	C₂×C₂²⋊D₅	—	4	2	no	—
418	C₂×C₂²⋊D₅	—	4	4	no	—
419	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
420	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
421	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
423	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
424	C₂²×Dic₅	—	4	4	no	—
425	C₂²×Dic₅	C₂⁴	1	2	yes	—
426	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₅	C₂⁴	1	2	yes	—
429	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₅	C₂⁴	1	2	yes	—
434	C₂²×Dic₅	C₂⁴	1	8	yes	—
435	#713	—	4	16	no	—
436	Q₈×D₅	—	4	16	no	—
437	Q₈×D₅	—	4	16	no	—
438	D₄×D₅	—	4	16	no	—
439	C₂×D₂₀	—	2	4	no	—
440	C₂×D₂₀	—	2	4	no	—
441	C₂×D₂₀	—	4	4	no	—
442	C₂×D₂₀	C₂⁴	1	4	yes	—
443	C₂×D₂₀	C₂⁴	1	4	yes	—
444	C₂×D₂₀	C₂⁴	1	8	yes	—
445	C₂×C₄×D₅	—	2	4	no	—
446	C₂×C₄×D₅	—	2	4	no	—
447	C₂×C₄×D₅	—	2	4	no	—
448	C₂×C₄×D₅	—	4	2	no	—
449	C₂×C₄×D₅	—	4	4	no	—
450	C₂×C₄×D₅	—	4	4	no	—
451	C₂×C₄×D₅	—	4	4	no	—
452	C₂×C₄×D₅	—	4	4	no	—
453	C₂×C₄×D₅	C₂⁴	1	4	yes	—
454	C₂×C₄×D₅	C₂⁴	1	4	yes	—
455	C₂×C₄×D₅	C₂⁴	1	4	yes	—
456	C₂×C₄×D₅	C₂⁴	1	8	yes	—
457	C₂×C₄×D₅	C₂⁴	1	8	yes	—
458	C₂×C₄×D₅	C₂⁴	1	8	yes	—
459	C₂×C₄×D₅	C₂⁴	1	4	yes	—
460	C₂×C₄×D₅	C₂⁴	1	8	yes	—
461	C₂×Dic₁₀	—	2	4	no	—
462	C₂×Dic₁₀	—	4	2	no	—
463	C₂×Dic₁₀	—	4	4	no	—
464	C₂×Dic₁₀	—	4	4	no	—
465	C₂×Dic₁₀	—	4	4	no	—
466	C₂×Dic₁₀	C₂⁴	1	4	yes	—
467	C₂×Dic₁₀	C₂⁴	1	8	yes	—
468	C₂×Dic₁₀	C₂⁴	1	8	yes	—
469	C₂×Dic₁₀	C₂⁴	1	4	yes	—
470	C₂×Dic₁₀	C₂⁴	1	8	yes	—
471	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
472	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
473	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
474	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
475	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
476	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
477	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
478	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
479	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
481	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
482	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₄²×C₅	C₂⁴	1	4	yes	—
484	C₄²×C₅	C₂⁴	1	4	yes	—
485	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
486	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
487	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
488	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
489	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
490	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
491	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
492	#685	C₂⁴	1	4	yes	—
493	#685	C₂⁴	1	4	yes	—
494	#685	C₂⁴	1	4	yes	—
495	#685	C₂⁴	1	8	yes	—
496	#685	C₂⁴	1	4	yes	—
497	#685	C₂⁴	1	8	yes	—
498	#685	C₂⁴	1	8	yes	—
499	#685	C₂⁴	1	8	yes	—
500	#685	C₂⁴	1	8	yes	—
501	#685	C₂⁴	1	8	yes	—
502	#685	C₂⁴	1	8	yes	—
503	#685	C₂⁴	1	8	yes	—
504	#685	C₂⁴	1	8	yes	—
505	#685	C₂⁴	1	4	yes	—
506	#685	C₂⁴	1	4	yes	—
507	#685	C₂⁴	1	8	yes	—
508	#685	C₂⁴	1	8	yes	—
509	C₄⋊Dic₅	C₂⁴	1	4	yes	—
510	C₄⋊Dic₅	C₂⁴	1	4	yes	—
511	C₄⋊Dic₅	C₂⁴	1	4	yes	—
512	C₄⋊Dic₅	C₂⁴	1	8	yes	—
513	C₄⋊Dic₅	C₂⁴	1	4	yes	—
514	C₄⋊Dic₅	C₂⁴	1	8	yes	—
515	C₄⋊Dic₅	C₂⁴	1	8	yes	—
516	C₄⋊Dic₅	C₂⁴	1	8	yes	—
517	#683	C₂⁴	1	4	yes	—
518	#683	C₂⁴	1	8	yes	—
519	#683	C₂⁴	1	4	yes	—
520	#683	C₂⁴	1	4	yes	—
521	#683	C₂⁴	1	4	yes	—
522	#683	C₂⁴	1	8	yes	—
523	#683	C₂⁴	1	8	yes	—
524	#683	C₂⁴	1	8	yes	—
525	#683	C₂⁴	1	8	yes	—
526	#683	C₂⁴	1	8	yes	—
527	#683	C₂⁴	1	4	yes	—
528	#683	C₂⁴	1	4	yes	—
529	#683	C₂⁴	1	8	yes	—
530	C₄×Dic₅	C₂⁴	1	4	yes	—
531	C₄×Dic₅	C₂⁴	1	4	yes	—
532	C₄×Dic₅	C₂⁴	1	8	yes	—
533	C₄×Dic₅	C₂⁴	1	4	yes	—
534	C₄×Dic₅	C₂⁴	1	4	yes	—
535	C₄×Dic₅	C₂⁴	1	8	yes	—
536	C₄×Dic₅	C₂⁴	1	8	yes	—
537	C₄×Dic₅	C₂⁴	1	8	yes	—
538	C₂²×#41	—	5	1	no	—
539	C₂²×#41	C₂×D₅	1	1	yes	characteristic
540	C₂³×Q₈	—	5	1	no	—
541	C₂³×Q₈	—	5	1	no	—
542	C₂³×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
543	C₂³×D₄	—	5	1	no	—
544	#563	—	5	32	no	—
545	#562	—	5	32	no	—
546	#556	—	5	16	no	—
547	#556	—	5	16	no	—
548	#551	—	5	32	no	—
549	#551	—	5	32	no	—
550	D₄×Q₈	—	5	16	no	—
551	D₄×Q₈	—	5	16	no	—
552	#548	—	5	16	no	—
553	#548	—	5	16	no	—
554	#546	—	5	16	no	—
555	#546	—	5	16	no	—
556	#543	—	5	32	no	—
557	#542	—	5	16	no	—
558	#542	—	5	32	no	—
559	#542	—	5	32	no	—
560	#542	—	5	16	no	—
561	#538	—	5	32	no	—
562	#536	—	5	16	no	—
563	#536	C₂×D₅	1	16	yes	complemented
564	#533	—	5	16	no	—
565	C₂×C₄⋊Q₈	—	5	1	no	—
566	C₂×C₄⋊Q₈	—	5	2	no	—
567	C₂×C₄⋊Q₈	—	5	2	no	—
568	C₂×C₄⋊Q₈	—	5	1	no	—
569	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
570	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
571	#529	—	5	16	no	—
572	C₂×#126	—	5	1	no	—
573	C₂×#126	—	5	2	no	—
574	C₂×#126	—	5	2	no	—
575	C₂×#126	—	5	2	no	—
576	C₂×#126	—	5	1	no	—
577	C₂×#126	—	5	2	no	—
578	C₂×#126	—	5	2	no	—
579	C₂×#126	—	5	2	no	—
580	C₂×#125	—	5	1	no	—
581	C₂×#125	—	5	2	no	—
582	C₂×#124	—	5	1	no	—
583	C₂×#124	—	5	1	no	—
584	C₂×#124	—	5	2	no	—
585	C₂×#124	—	5	1	no	—
586	C₂×#124	—	5	2	no	—
587	C₂×#124	—	5	16	no	—
588	C₂×#124	—	5	2	no	—
589	C₂×#124	—	5	2	no	—
590	C₂×#124	—	5	1	no	—
591	C₂×#124	—	5	2	no	—
592	C₂×#124	—	5	2	no	—
593	C₂×#124	—	5	1	no	—
594	C₂×#124	C₂×D₅	1	1	yes	characteristic
595	C₂×#124	C₂×D₅	1	1	yes	characteristic
596	C₂×#123	—	5	2	no	—
597	C₂×#123	—	5	1	no	—
598	C₂×#123	—	5	2	no	—
599	C₂×#123	—	5	2	no	—
600	C₂×#123	—	5	1	no	—
601	C₂×#123	—	5	2	no	—
602	C₂×#123	—	5	2	no	—
603	C₂×#123	—	5	2	no	—
604	C₂×#123	C₂×D₅	1	2	yes	complemented
605	C₂×#123	C₂×D₅	1	2	yes	complemented
606	C₂×C₂²⋊Q₈	—	5	1	no	—
607	C₂×C₂²⋊Q₈	—	5	1	no	—
608	C₂×C₂²⋊Q₈	—	5	2	no	—
609	C₂×C₂²⋊Q₈	—	5	1	no	—
610	C₂×C₂²⋊Q₈	—	5	2	no	—
611	C₂×C₂²⋊Q₈	—	5	1	no	—
612	C₂×C₂²⋊Q₈	—	5	2	no	—
613	C₂×C₂²⋊Q₈	—	5	2	no	—
614	C₂×C₂²⋊Q₈	—	5	1	no	—
615	C₂×C₂²⋊Q₈	—	5	2	no	—
616	C₂×C₂²⋊Q₈	—	5	2	no	—
617	C₂×C₂²⋊Q₈	—	5	2	no	—
618	C₂×C₂²⋊Q₈	—	5	2	no	—
619	C₂×C₂²⋊Q₈	—	5	2	no	—
620	C₂×C₂²⋊Q₈	—	5	2	no	—
621	C₂×C₂²⋊Q₈	—	5	2	no	—
622	C₂×C₂²⋊Q₈	—	5	2	no	—
623	C₂×C₂²⋊Q₈	—	5	2	no	—
624	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
625	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
626	C₂×#121	—	5	1	no	—
627	C₂×#121	—	5	2	no	—
628	C₂×#121	—	5	2	no	—
629	C₂×#121	—	5	1	no	—
630	C₂×#121	—	5	2	no	—
631	C₂×#121	—	5	1	no	—
632	C₂×#121	—	5	2	no	—
633	C₂×#120	—	5	2	no	—
634	C₂×#120	—	5	2	no	—
635	C₂×C₄×Q₈	—	5	1	no	—
636	C₂×C₄×Q₈	—	5	1	no	—
637	C₂×C₄×Q₈	—	5	1	no	—
638	C₂×C₄×Q₈	—	5	2	no	—
639	C₂×C₄×Q₈	—	5	1	no	—
640	C₂×C₄×Q₈	—	5	1	no	—
641	C₂×C₄×D₄	—	5	1	no	—
642	C₂×C₄×D₄	—	5	1	no	—
643	C₂×C₄×D₄	—	5	2	no	—
644	C₂×C₄×D₄	—	5	1	no	—
645	C₂×C₄×D₄	—	5	2	no	—
646	C₂×C₄×D₄	—	5	2	no	—
647	C₂×C₄×D₄	—	5	2	no	—
648	C₂×C₄×D₄	—	5	1	no	—
649	C₂×C₄×D₄	—	5	1	no	—
650	C₂×#117	—	5	2	no	—
651	C₂×#117	—	5	2	no	—
652	C₂×#117	—	5	2	no	—
653	C₂×#117	—	5	1	no	—
654	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
655	C₂²×C₂²⋊C₄	—	5	2	no	—
656	C₂²×C₂²⋊C₄	—	5	2	no	—
657	C₂²×C₂²⋊C₄	—	5	2	no	—
658	C₂²×C₂²⋊C₄	—	5	2	no	—
659	C₂²×C₄²	—	5	1	no	—
660	C₂³×C₅	—	2	4	no	—
661	C₂³×C₅	—	2	2	no	—
662	C₂³×C₅	—	2	2	no	—
663	C₂³×C₅	—	2	4	no	—
664	C₂³×C₅	—	2	4	no	—
665	C₂³×C₅	—	2	2	no	—
666	C₂³×C₅	C₂⁵	1	4	yes	—
667	C₂³×C₅	C₂⁵	1	2	yes	—
668	C₂³×C₅	C₂⁵	1	1	yes	characteristic
669	C₂²×D₅	—	2	2	no	—
670	C₂²×D₅	—	2	2	no	—
671	C₂²×D₅	—	2	2	no	—
672	C₂²×D₅	—	2	4	no	—
673	C₂²×D₅	—	2	2	no	—
674	C₂²×D₅	—	2	4	no	—
675	C₂²×D₅	—	2	4	no	—
676	C₂²×D₅	—	2	2	no	—
677	C₂²×D₅	—	2	16	no	—
678	C₂²×D₅	—	4	8	no	—
679	C₂²×D₅	—	4	8	no	—
680	C₂²×D₅	—	8	16	no	—
681	C₂²×D₅	2₋¹⁺⁴	1	4	yes	—
682	C₂²×D₅	C₂⁵	1	4	yes	—
683	C₂²×D₅	C₂⁵	1	2	yes	—
684	C₂²×D₅	C₂⁵	1	2	yes	—
685	C₅×Q₈	—	2	8	no	—
686	C₅×Q₈	—	2	8	no	—
687	C₅×Q₈	—	2	8	no	—
688	C₅×Q₈	—	4	8	no	—
689	C₅×D₄	—	2	8	no	—
690	C₅×D₄	—	4	8	no	—
691	C₂×C₄×C₅	—	2	4	no	—
692	C₂×C₄×C₅	—	2	4	no	—
693	C₂×C₄×C₅	—	2	4	no	—
694	C₂×C₄×C₅	—	2	2	no	—
695	C₂×C₄×C₅	—	2	2	no	—
696	C₂×C₄×C₅	—	2	2	no	—
697	C₂×C₄×C₅	—	2	2	no	—
698	C₂×C₄×C₅	—	2	2	no	—
699	C₂×C₄×C₅	—	2	8	no	—
700	C₂×C₄×C₅	—	4	8	no	—
701	C₂×C₄×C₅	—	4	8	no	—
702	C₂×C₄×C₅	H(5,𝔽₂)	1	4	yes	—
703	C₂×C₄×C₅	C₂⁵	1	2	yes	—
704	C₂×C₄×C₅	C₂⁵	1	4	yes	—
705	C₂×C₄×C₅	C₂⁵	1	2	yes	—
706	C₂×C₄×C₅	C₂⁵	1	4	yes	—
707	C₂×C₄×C₅	C₂⁵	1	4	yes	—
708	C₂×C₄×C₅	C₂⁵	1	2	yes	—
709	C₂×C₄×C₅	C₂⁵	1	2	yes	—
710	C₂×C₄×C₅	C₂⁵	1	2	yes	—
711	C₂×C₄×C₅	C₂⁵	1	2	yes	—
712	C₂²⋊D₅	—	2	8	no	—
713	C₂²⋊D₅	—	4	8	no	—
714	C₂²⋊D₅	—	4	8	no	—
715	C₂²⋊D₅	—	4	4	no	—
716	C₂²⋊D₅	—	4	8	no	—
717	C₂×Dic₅	—	2	4	no	—
718	C₂×Dic₅	—	2	2	no	—
719	C₂×Dic₅	—	2	2	no	—
720	C₂×Dic₅	—	2	2	no	—
721	C₂×Dic₅	—	2	2	no	—
722	C₂×Dic₅	—	2	2	no	—
723	C₂×Dic₅	—	2	4	no	—
724	C₂×Dic₅	—	2	2	no	—
725	C₂×Dic₅	—	2	4	no	—
726	C₂×Dic₅	—	4	8	no	—
727	C₂×Dic₅	C₂⁵	1	2	yes	—
728	C₂×Dic₅	C₂⁵	1	2	yes	—
729	C₂×Dic₅	C₂⁵	1	2	yes	—
730	C₂×Dic₅	C₂⁵	1	4	yes	—
731	C₂×Dic₅	C₂⁵	1	2	yes	—
732	C₂×Dic₅	C₂⁵	1	4	yes	—
733	C₂×Dic₅	C₂⁵	1	2	yes	—
734	C₂×Dic₅	C₂⁵	1	4	yes	—
735	C₂×Dic₅	C₂⁵	1	2	yes	—
736	D₂₀	—	2	8	no	—
737	D₂₀	—	2	8	no	—
738	D₂₀	—	4	8	no	—
739	C₄×D₅	—	2	8	no	—
740	C₄×D₅	—	2	8	no	—
741	C₄×D₅	—	2	8	no	—
742	C₄×D₅	—	4	4	no	—
743	C₄×D₅	—	4	8	no	—
744	C₄×D₅	—	4	8	no	—
745	C₄×D₅	—	4	8	no	—
746	C₄×D₅	—	4	8	no	—
747	Dic₁₀	—	2	8	no	—
748	Dic₁₀	—	4	4	no	—
749	Dic₁₀	—	4	8	no	—
750	Dic₁₀	—	4	8	no	—
751	Dic₁₀	—	4	8	no	—
752	C₂⁵	—	5	2	no	—
753	C₂×#41	—	4	4	no	—
754	C₂×#41	—	5	8	no	—
755	C₂×#41	—	20	4	no	—
756	C₂×#41	C₂²×D₅	1	8	yes	—
757	C₂²×Q₈	—	4	4	no	—
758	C₂²×Q₈	—	5	8	no	—
759	C₂²×Q₈	—	5	8	no	—
760	C₂²×Q₈	—	5	1	no	—
761	C₂²×Q₈	—	5	1	no	—
762	C₂²×Q₈	—	5	2	no	—
763	C₂²×Q₈	—	5	2	no	—
764	C₂²×Q₈	—	5	2	no	—
765	C₂²×Q₈	—	20	4	no	—
766	C₂²×Q₈	—	20	4	no	—
767	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
768	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
769	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
770	C₂²×Q₈	C₂²×D₅	1	2	yes	—
771	C₂²×Q₈	C₂²×D₅	1	8	yes	complemented
772	C₂²×D₄	—	5	1	no	—
773	C₂²×D₄	—	5	2	no	—
774	C₂²×D₄	—	5	2	no	—
775	C₂²×D₄	—	5	1	no	—
776	C₂²×D₄	—	5	2	no	—
777	C₂²×D₄	—	5	8	no	—
778	C₂²×D₄	—	5	1	no	—
779	C₂²×D₄	—	5	1	no	—
780	C₂²×D₄	—	5	2	no	—
781	C₂²×D₄	—	20	4	no	—
782	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
783	C₂²×D₄	C₂²×D₅	1	2	yes	—
784	C₂³×C₄	—	5	2	no	—
785	C₂³×C₄	—	5	1	no	—
786	C₂³×C₄	—	5	1	no	—
787	C₂³×C₄	—	5	1	no	—
788	C₂³×C₄	—	5	2	no	—
789	C₂³×C₄	—	5	1	no	—
790	C₂³×C₄	—	5	2	no	—
791	C₂³×C₄	—	5	2	no	—
792	C₂³×C₄	—	5	2	no	—
793	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
794	C₂³×C₄	C₂²×D₅	1	2	yes	—
795	C₂³×C₄	C₂²×D₅	1	2	yes	—
796	C₄⋊Q₈	—	5	8	no	—
797	C₄⋊Q₈	—	5	16	no	—
798	C₄⋊Q₈	—	5	16	no	—
799	C₄⋊Q₈	—	5	8	no	—
800	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
801	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
802	#126	—	5	8	no	—
803	#126	—	5	16	no	—
804	#126	—	5	16	no	—
805	#126	—	5	16	no	—
806	#126	—	5	8	no	—
807	#126	—	5	16	no	—
808	#126	—	5	16	no	—
809	#126	—	5	16	no	—
810	#125	—	5	8	no	—
811	#125	—	5	16	no	—
812	#124	—	5	8	no	—
813	#124	—	5	8	no	—
814	#124	—	5	16	no	—
815	#124	—	5	8	no	—
816	#124	—	5	16	no	—
817	#124	—	5	16	no	—
818	#124	—	5	16	no	—
819	#124	—	5	8	no	—
820	#124	—	5	16	no	—
821	#124	—	5	16	no	—
822	#124	—	5	8	no	—
823	#124	C₂²×D₅	1	8	yes	—
824	#124	C₂²×D₅	1	8	yes	—
825	#123	—	5	16	no	—
826	#123	—	5	8	no	—
827	#123	—	5	16	no	—
828	#123	—	5	16	no	—
829	#123	—	5	8	no	—
830	#123	—	5	16	no	—
831	#123	—	5	16	no	—
832	#123	—	5	16	no	—
833	#123	C₂²×D₅	1	16	yes	complemented
834	#123	C₂²×D₅	1	16	yes	complemented
835	C₂²⋊Q₈	—	5	8	no	—
836	C₂²⋊Q₈	—	5	8	no	—
837	C₂²⋊Q₈	—	5	8	no	—
838	C₂²⋊Q₈	—	5	16	no	—
839	C₂²⋊Q₈	—	5	16	no	—
840	C₂²⋊Q₈	—	5	8	no	—
841	C₂²⋊Q₈	—	5	16	no	—
842	C₂²⋊Q₈	—	5	16	no	—
843	C₂²⋊Q₈	—	5	8	no	—
844	C₂²⋊Q₈	—	5	16	no	—
845	C₂²⋊Q₈	—	5	16	no	—
846	C₂²⋊Q₈	—	5	16	no	—
847	C₂²⋊Q₈	—	5	16	no	—
848	C₂²⋊Q₈	—	5	16	no	—
849	C₂²⋊Q₈	—	5	16	no	—
850	C₂²⋊Q₈	—	5	16	no	—
851	C₂²⋊Q₈	—	5	16	no	—
852	C₂²⋊Q₈	—	5	16	no	—
853	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
854	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
855	#121	—	5	16	no	—
856	#121	—	5	8	no	—
857	#121	—	5	16	no	—
858	#121	—	5	16	no	—
859	#121	—	5	8	no	—
860	#121	—	5	8	no	—
861	#121	—	5	16	no	—
862	#120	—	5	16	no	—
863	#120	—	5	16	no	—
864	C₄×Q₈	—	5	8	no	—
865	C₄×Q₈	—	5	8	no	—
866	C₄×Q₈	—	5	8	no	—
867	C₄×Q₈	—	5	16	no	—
868	C₄×Q₈	—	5	8	no	—
869	C₄×Q₈	—	5	8	no	—
870	C₄×D₄	—	5	8	no	—
871	C₄×D₄	—	5	8	no	—
872	C₄×D₄	—	5	8	no	—
873	C₄×D₄	—	5	16	no	—
874	C₄×D₄	—	5	16	no	—
875	C₄×D₄	—	5	16	no	—
876	C₄×D₄	—	5	16	no	—
877	C₄×D₄	—	5	8	no	—
878	C₄×D₄	—	5	8	no	—
879	#117	—	5	16	no	—
880	#117	—	5	16	no	—
881	#117	—	5	16	no	—
882	#117	—	5	8	no	—
883	#117	C₂²×D₅	1	8	yes	complemented
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	2	no	—
890	C₂×C₄⋊C₄	—	5	1	no	—
891	C₂×C₄⋊C₄	—	5	1	no	—
892	C₂×C₄⋊C₄	—	5	1	no	—
893	C₂×C₄⋊C₄	—	5	2	no	—
894	C₂×C₄⋊C₄	—	5	2	no	—
895	C₂×C₄⋊C₄	—	5	2	no	—
896	C₂×C₄⋊C₄	—	5	1	no	—
897	C₂×C₄⋊C₄	—	5	1	no	—
898	C₂×C₄⋊C₄	—	5	2	no	—
899	C₂×C₄⋊C₄	—	5	2	no	—
900	C₂×C₄⋊C₄	—	5	2	no	—
901	C₂×C₄⋊C₄	—	5	2	no	—
902	C₂×C₄⋊C₄	—	5	1	no	—
903	C₂×C₄⋊C₄	—	5	2	no	—
904	C₂×C₄⋊C₄	—	5	2	no	—
905	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
906	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
907	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
910	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
911	C₂×C₂²⋊C₄	—	5	2	no	—
912	C₂×C₂²⋊C₄	—	5	2	no	—
913	C₂×C₂²⋊C₄	—	5	2	no	—
914	C₂×C₂²⋊C₄	—	5	1	no	—
915	C₂×C₂²⋊C₄	—	5	2	no	—
916	C₂×C₂²⋊C₄	—	5	1	no	—
917	C₂×C₂²⋊C₄	—	5	2	no	—
918	C₂×C₂²⋊C₄	—	5	1	no	—
919	C₂×C₂²⋊C₄	—	5	1	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	2	no	—
924	C₂×C₂²⋊C₄	—	5	2	no	—
925	C₂×C₂²⋊C₄	—	5	2	no	—
926	C₂×C₂²⋊C₄	—	5	2	no	—
927	C₂×C₂²⋊C₄	—	5	2	no	—
928	C₂×C₂²⋊C₄	—	5	16	no	—
929	C₂×C₂²⋊C₄	—	5	2	no	—
930	C₂×C₂²⋊C₄	—	5	1	no	—
931	C₂×C₂²⋊C₄	—	5	1	no	—
932	C₂×C₂²⋊C₄	—	5	1	no	—
933	C₂×C₂²⋊C₄	—	5	2	no	—
934	C₂×C₂²⋊C₄	—	5	1	no	—
935	C₂×C₂²⋊C₄	—	5	2	no	—
936	C₂×C₂²⋊C₄	—	5	16	no	—
937	C₂×C₂²⋊C₄	—	5	16	no	—
938	C₂×C₂²⋊C₄	—	5	16	no	—
939	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
940	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
941	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
942	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
943	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
945	C₂×C₄²	—	5	2	no	—
946	C₂×C₄²	—	5	2	no	—
947	C₂×C₄²	—	5	1	no	—
948	C₂×C₄²	—	5	2	no	—
949	C₂×C₄²	—	5	2	no	—
950	C₂×C₄²	—	5	1	no	—
951	C₂×C₄²	—	5	1	no	—
952	C₂×C₄²	—	5	1	no	—
953	C₂×C₄²	—	5	8	no	—
954	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
955	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
956	C₂²×C₅	—	2	4	no	—
957	C₂²×C₅	—	2	2	no	—
958	C₂²×C₅	—	2	2	no	—
959	C₂²×C₅	—	2	4	no	—
960	C₂²×C₅	—	2	4	no	—
961	C₂²×C₅	—	2	2	no	—
962	C₂²×C₅	—	4	8	no	—
963	C₂²×C₅	—	4	4	no	—
964	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
965	C₂²×C₅	C₂×2₋¹⁺⁴	1	2	yes	—
966	C₂²×C₅	#585	1	2	yes	—
967	C₂²×C₅	C₂⁶	1	1	yes	characteristic
968	C₂×D₅	—	2	2	no	—
969	C₂×D₅	—	2	2	no	—
970	C₂×D₅	—	2	8	no	—
971	C₂×D₅	—	2	2	no	—
972	C₂×D₅	—	2	4	no	—
973	C₂×D₅	—	2	2	no	—
974	C₂×D₅	—	2	4	no	—
975	C₂×D₅	—	2	4	no	—
976	C₂×D₅	—	2	2	no	—
977	C₂×D₅	—	4	4	no	—
978	C₂×D₅	—	4	8	no	—
979	C₂×D₅	—	8	16	no	—
980	C₂×D₅	C₂×2₋¹⁺⁴	1	4	yes	—
981	C₄×C₅	—	2	4	no	—
982	C₄×C₅	—	2	4	no	—
983	C₄×C₅	—	2	4	no	—
984	C₄×C₅	—	2	2	no	—
985	C₄×C₅	—	2	2	no	—
986	C₄×C₅	—	2	2	no	—
987	C₄×C₅	—	2	2	no	—
988	C₄×C₅	—	2	2	no	—
989	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
990	Dic₅	—	2	4	no	—
991	Dic₅	—	2	2	no	—
992	Dic₅	—	2	2	no	—
993	Dic₅	—	2	2	no	—
994	Dic₅	—	2	2	no	—
995	Dic₅	—	2	2	no	—
996	Dic₅	—	2	4	no	—
997	Dic₅	—	2	2	no	—
998	Dic₅	—	2	4	no	—
999	C₂⁴	—	5	1	no	—
1000	C₂⁴	—	5	2	no	—
1001	C₂⁴	—	5	1	no	—
1002	C₂⁴	—	5	8	no	—
1003	C₂⁴	—	10	8	no	—
1004	C₂⁴	—	20	4	no	—
1005	C₂⁴	—	20	4	no	—
1006	C₂⁴	C₂³×D₅	1	2	yes	—
1007	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1008	#41	—	4	16	no	—
1009	#41	—	20	16	no	—
1010	C₂×Q₈	—	2	4	no	—
1011	C₂×Q₈	—	2	4	no	—
1012	C₂×Q₈	—	2	4	no	—
1013	C₂×Q₈	—	4	4	no	—
1014	C₂×Q₈	—	4	16	no	—
1015	C₂×Q₈	—	5	4	no	—
1016	C₂×Q₈	—	5	4	no	—
1017	C₂×Q₈	—	5	8	no	—
1018	C₂×Q₈	—	5	8	no	—
1019	C₂×Q₈	—	5	8	no	—
1020	C₂×Q₈	—	10	4	no	—
1021	C₂×Q₈	—	20	4	no	—
1022	C₂×Q₈	—	20	4	no	—
1023	C₂×Q₈	—	20	2	no	—
1024	C₂×Q₈	—	20	4	no	—
1025	C₂×Q₈	—	20	16	no	—
1026	C₂×Q₈	—	20	16	no	—
1027	C₂×Q₈	C₂³×D₅	1	4	yes	—
1028	C₂×Q₈	C₂³×D₅	1	4	yes	—
1029	C₂×Q₈	C₂³×D₅	1	4	yes	—
1030	C₂×Q₈	C₂³×D₅	1	8	yes	—
1031	C₂×D₄	—	2	4	no	—
1032	C₂×D₄	—	4	4	no	—
1033	C₂×D₄	—	5	4	no	—
1034	C₂×D₄	—	5	8	no	—
1035	C₂×D₄	—	5	8	no	—
1036	C₂×D₄	—	5	4	no	—
1037	C₂×D₄	—	5	8	no	—
1038	C₂×D₄	—	5	4	no	—
1039	C₂×D₄	—	5	4	no	—
1040	C₂×D₄	—	5	8	no	—
1041	C₂×D₄	—	10	4	no	—
1042	C₂×D₄	—	10	4	no	—
1043	C₂×D₄	—	10	4	no	—
1044	C₂×D₄	—	20	4	no	—
1045	C₂×D₄	—	20	16	no	—
1046	C₂×D₄	—	20	4	no	—
1047	C₂×D₄	—	20	4	no	—
1048	C₂×D₄	—	20	4	no	—
1049	C₂×D₄	—	20	2	no	—
1050	C₂×D₄	C₂³×D₅	1	4	yes	—
1051	C₂×D₄	C₂³×D₅	1	8	yes	—
1052	C₂²×C₄	—	2	4	no	—
1053	C₂²×C₄	—	4	4	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	5	1	no	—
1056	C₂²×C₄	—	5	1	no	—
1057	C₂²×C₄	—	5	2	no	—
1058	C₂²×C₄	—	5	2	no	—
1059	C₂²×C₄	—	5	1	no	—
1060	C₂²×C₄	—	5	1	no	—
1061	C₂²×C₄	—	5	1	no	—
1062	C₂²×C₄	—	5	2	no	—
1063	C₂²×C₄	—	5	1	no	—
1064	C₂²×C₄	—	5	8	no	—
1065	C₂²×C₄	—	5	4	no	—
1066	C₂²×C₄	—	5	4	no	—
1067	C₂²×C₄	—	5	4	no	—
1068	C₂²×C₄	—	5	4	no	—
1069	C₂²×C₄	—	5	8	no	—
1070	C₂²×C₄	—	5	8	no	—
1071	C₂²×C₄	—	5	8	no	—
1072	C₂²×C₄	—	5	8	no	—
1073	C₂²×C₄	—	10	4	no	—
1074	C₂²×C₄	—	10	4	no	—
1075	C₂²×C₄	—	10	4	no	—
1076	C₂²×C₄	—	20	4	no	—
1077	C₂²×C₄	—	20	4	no	—
1078	C₂²×C₄	—	20	4	no	—
1079	C₂²×C₄	—	20	4	no	—
1080	C₂²×C₄	—	20	2	no	—
1081	C₂²×C₄	—	20	4	no	—
1082	C₂²×C₄	C₂³×D₅	1	4	yes	—
1083	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₅	1	2	yes	—
1087	C₂²×C₄	C₂³×D₅	1	2	yes	—
1088	C₂²×C₄	C₂³×D₅	1	2	yes	—
1089	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₅	1	8	yes	—
1092	C₂²×C₄	C₂³×D₅	1	8	yes	—
1093	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1094	C₄⋊C₄	—	5	4	no	—
1095	C₄⋊C₄	—	5	4	no	—
1096	C₄⋊C₄	—	5	4	no	—
1097	C₄⋊C₄	—	5	8	no	—
1098	C₄⋊C₄	—	5	4	no	—
1099	C₄⋊C₄	—	5	8	no	—
1100	C₄⋊C₄	—	5	4	no	—
1101	C₄⋊C₄	—	5	4	no	—
1102	C₄⋊C₄	—	5	4	no	—
1103	C₄⋊C₄	—	5	8	no	—
1104	C₄⋊C₄	—	5	8	no	—
1105	C₄⋊C₄	—	5	8	no	—
1106	C₄⋊C₄	—	5	4	no	—
1107	C₄⋊C₄	—	5	4	no	—
1108	C₄⋊C₄	—	5	8	no	—
1109	C₄⋊C₄	—	5	8	no	—
1110	C₄⋊C₄	—	5	8	no	—
1111	C₄⋊C₄	—	5	8	no	—
1112	C₄⋊C₄	—	5	4	no	—
1113	C₄⋊C₄	—	5	8	no	—
1114	C₄⋊C₄	—	5	8	no	—
1115	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1116	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1117	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1118	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1119	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1120	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1121	C₂²⋊C₄	—	5	8	no	—
1122	C₂²⋊C₄	—	5	8	no	—
1123	C₂²⋊C₄	—	5	8	no	—
1124	C₂²⋊C₄	—	5	4	no	—
1125	C₂²⋊C₄	—	5	8	no	—
1126	C₂²⋊C₄	—	5	4	no	—
1127	C₂²⋊C₄	—	5	8	no	—
1128	C₂²⋊C₄	—	5	4	no	—
1129	C₂²⋊C₄	—	5	4	no	—
1130	C₂²⋊C₄	—	5	8	no	—
1131	C₂²⋊C₄	—	5	8	no	—
1132	C₂²⋊C₄	—	5	8	no	—
1133	C₂²⋊C₄	—	5	8	no	—
1134	C₂²⋊C₄	—	5	8	no	—
1135	C₂²⋊C₄	—	5	8	no	—
1136	C₂²⋊C₄	—	5	8	no	—
1137	C₂²⋊C₄	—	5	8	no	—
1138	C₂²⋊C₄	—	5	8	no	—
1139	C₂²⋊C₄	—	5	4	no	—
1140	C₂²⋊C₄	—	5	4	no	—
1141	C₂²⋊C₄	—	5	4	no	—
1142	C₂²⋊C₄	—	5	8	no	—
1143	C₂²⋊C₄	—	5	4	no	—
1144	C₂²⋊C₄	—	5	8	no	—
1145	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1146	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1147	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1148	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1149	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1150	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1151	C₄²	—	5	4	no	—
1152	C₄²	—	5	4	no	—
1153	C₄²	—	5	4	no	—
1154	C₄²	—	5	8	no	—
1155	C₄²	—	5	8	no	—
1156	C₄²	—	5	4	no	—
1157	C₄²	—	5	8	no	—
1158	C₄²	—	5	8	no	—
1159	C₄²	C₂³×D₅	1	4	yes	—
1160	C₄²	C₂³×D₅	1	4	yes	—
1161	C₂×C₅	—	4	4	no	—
1162	C₂×C₅	—	4	2	no	—
1163	C₂×C₅	#3561	1	4	yes	complemented
1164	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1165	C₂×C₅	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1166	C₂×C₅	C₂×#585	1	1	yes	characteristic
1167	D₅	—	2	4	no	—
1168	D₅	—	4	2	no	—
1169	D₅	—	4	4	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	2	2	no	—
1176	C₂³	—	5	4	no	—
1177	C₂³	—	5	2	no	—
1178	C₂³	—	5	4	no	—
1179	C₂³	—	5	2	no	—
1180	C₂³	—	10	16	no	—
1181	C₂³	—	10	2	no	—
1182	C₂³	—	10	2	no	—
1183	C₂³	—	10	2	no	—
1184	C₂³	—	10	4	no	—
1185	C₂³	—	10	2	no	—
1186	C₂³	—	10	4	no	—
1187	C₂³	—	10	4	no	—
1188	C₂³	—	10	2	no	—
1189	C₂³	—	20	8	no	—
1190	C₂³	—	20	8	no	—
1191	C₂³	—	40	16	no	—
1192	C₂³	C₂⁴×D₅	1	4	yes	—
1193	C₂³	C₂⁴×D₅	1	2	yes	—
1194	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1195	Q₈	—	2	8	no	—
1196	Q₈	—	2	8	no	—
1197	Q₈	—	2	8	no	—
1198	Q₈	—	4	8	no	—
1199	Q₈	—	10	8	no	—
1200	Q₈	—	20	8	no	—
1201	Q₈	—	20	8	no	—
1202	Q₈	—	20	4	no	—
1203	Q₈	—	20	8	no	—
1204	D₄	—	2	8	no	—
1205	D₄	—	4	8	no	—
1206	D₄	—	10	8	no	—
1207	D₄	—	10	8	no	—
1208	D₄	—	10	8	no	—
1209	D₄	—	20	8	no	—
1210	D₄	—	20	8	no	—
1211	D₄	—	20	8	no	—
1212	D₄	—	20	8	no	—
1213	D₄	—	20	4	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	4	no	—
1216	C₂×C₄	—	2	4	no	—
1217	C₂×C₄	—	2	4	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	8	no	—
1223	C₂×C₄	—	4	8	no	—
1224	C₂×C₄	—	4	8	no	—
1225	C₂×C₄	—	5	2	no	—
1226	C₂×C₄	—	5	2	no	—
1227	C₂×C₄	—	5	2	no	—
1228	C₂×C₄	—	5	4	no	—
1229	C₂×C₄	—	5	4	no	—
1230	C₂×C₄	—	5	2	no	—
1231	C₂×C₄	—	5	2	no	—
1232	C₂×C₄	—	5	4	no	—
1233	C₂×C₄	—	5	2	no	—
1234	C₂×C₄	—	10	8	no	—
1235	C₂×C₄	—	10	2	no	—
1236	C₂×C₄	—	10	2	no	—
1237	C₂×C₄	—	10	4	no	—
1238	C₂×C₄	—	10	2	no	—
1239	C₂×C₄	—	10	2	no	—
1240	C₂×C₄	—	10	2	no	—
1241	C₂×C₄	—	10	4	no	—
1242	C₂×C₄	—	10	2	no	—
1243	C₂×C₄	—	10	4	no	—
1244	C₂×C₄	—	10	8	no	—
1245	C₂×C₄	—	10	8	no	—
1246	C₂×C₄	—	20	8	no	—
1247	C₂×C₄	—	20	8	no	—
1248	C₂×C₄	—	20	8	no	—
1249	C₂×C₄	—	20	8	no	—
1250	C₂×C₄	—	20	4	no	—
1251	C₂×C₄	—	20	8	no	—
1252	C₂×C₄	#4144	1	4	yes	—
1253	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1254	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1255	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1257	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1258	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1259	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1260	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1261	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1262	C₅	C₂×#3561	1	1	yes	characteristic, complemented, Sylow
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	4	no	—
1269	C₂²	—	4	8	no	—
1270	C₂²	—	4	4	no	—
1271	C₂²	—	5	4	no	—
1272	C₂²	—	10	2	no	—
1273	C₂²	—	10	2	no	—
1274	C₂²	—	10	8	no	—
1275	C₂²	—	10	2	no	—
1276	C₂²	—	10	4	no	—
1277	C₂²	—	10	4	no	—
1278	C₂²	—	10	2	no	—
1279	C₂²	—	10	2	no	—
1280	C₂²	—	10	4	no	—
1281	C₂²	—	20	8	no	—
1282	C₂²	—	20	4	no	—
1283	C₂²	—	40	16	no	—
1284	C₂²	C₂×#4144	1	2	yes	—
1285	C₂²	D₅×2₋¹⁺⁴	1	2	yes	—
1286	C₂²	#66287	1	2	yes	—
1287	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1288	C₄	—	2	2	no	—
1289	C₄	—	2	4	no	—
1290	C₄	—	2	4	no	—
1291	C₄	—	2	4	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	10	2	no	—
1297	C₄	—	10	2	no	—
1298	C₄	—	10	4	no	—
1299	C₄	—	10	2	no	—
1300	C₄	—	10	2	no	—
1301	C₄	—	10	4	no	—
1302	C₄	—	10	4	no	—
1303	C₄	—	10	2	no	—
1304	C₄	—	10	2	no	—
1305	C₄	C₂×#4144	1	4	yes	—
1306	C₂	—	4	4	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	10	4	no	—
1309	C₂	—	20	4	no	—
1310	C₂	—	20	2	no	—
1311	C₂	#10618263	1	4	yes	direct product factor
1312	C₂	C₂²×#4144	1	1	yes	characteristic
1313	C₂	C₂×#66287	1	1	yes	characteristic
1314	C₂	C₂×D₅×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#536	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#536	D₅
hypocenter	C₅	C₂×#3561
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#536

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#536	C₂	semidirect
2. C₂×#66165	C₂	semidirect
3. C₂×#66163	C₂	semidirect
4. C₂×#66151	C₂	semidirect
5. C₂×Q₈×C₂²⋊D₅	C₂	semidirect
6. #10618263	C₂	direct (N × H)
7. C₂×#66061	C₂	semidirect
8. C₂×#66058	C₂	semidirect
9. C₂×#66066	C₂	semidirect
10. C₂×#66062	C₂	semidirect
11. C₂×#66010	C₂	semidirect
12. C₂×#66016	C₂	semidirect
13. C₂×D₅×#124	C₂	semidirect
14. C₂×#66005	C₂	semidirect
15. C₂×#66001	C₂	semidirect
16. C₂×#65993	C₂	semidirect
17. C₂×#65991	C₂	semidirect
18. C₂×#65996	C₂	semidirect
19. C₂×#65971	C₂	semidirect
20. C₂×#65968	C₂	semidirect
21. C₂×#65980	C₂	semidirect
22. C₂×#65974	C₂	semidirect
23. C₂×#65868	C₂	semidirect
24. C₂×#65862	C₂	semidirect
26. C₂³×C₅×Q₈	C₂²	semidirect
29. C₂²×Q₈×D₅	C₂²	semidirect
31. C₅×#536	C₂²	semidirect
32. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
33. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
36. C₂×C₅×#123	C₂²	semidirect
37. C₂×C₅×#123	C₂²	semidirect
38. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
39. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₅×#117	C₂²	semidirect
41. #66165	C₂²	semidirect
42. #66163	C₂²	semidirect
43. #66151	C₂²	semidirect
44. Q₈×C₂²⋊D₅	C₂²	semidirect
47. C₂×#4093	C₂²	semidirect
51. C₂×#4092	C₂²	semidirect
52. C₂×#4092	C₂²	semidirect
53. C₂×Q₈×Dic₅	C₂²	semidirect
54. C₂×Q₈×Dic₅	C₂²	semidirect
55. C₂×Q₈×Dic₅	C₂²	semidirect
56. C₂×#4090	C₂²	semidirect
57. C₂×#4090	C₂²	semidirect
60. C₂×#4084	C₂²	semidirect
63. C₂×#4082	C₂²	semidirect
66. C₂×#4076	C₂²	semidirect
70. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
71. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
72. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
74. C₂×#4070	C₂²	semidirect
75. C₂×#4070	C₂²	semidirect
76. C₂×#4070	C₂²	semidirect
77. #66066	C₂²	semidirect
78. #66062	C₂²	semidirect
79. #66061	C₂²	semidirect
80. #66058	C₂²	semidirect
81. #66016	C₂²	semidirect
82. #66010	C₂²	semidirect
83. D₅×#124	C₂²	semidirect
84. #66005	C₂²	semidirect
85. #66001	C₂²	semidirect
86. #65996	C₂²	semidirect
87. #65993	C₂²	semidirect
88. #65991	C₂²	semidirect
89. #65980	C₂²	semidirect
90. #65974	C₂²	semidirect
91. #65971	C₂²	semidirect
92. #65968	C₂²	semidirect
93. #65868	C₂²	semidirect
94. #65862	C₂²	semidirect
95. C₂×#4044	C₂²	semidirect
96. C₂×#4044	C₂²	semidirect
97. C₂×#4044	C₂²	semidirect
98. C₂×#4044	C₂²	semidirect
100. C₂×#4043	C₂²	semidirect
103. C₂×#4042	C₂²	semidirect
104. C₂×#4042	C₂²	semidirect
105. C₂×#4042	C₂²	semidirect
106. C₂×#4042	C₂²	semidirect
108. C₂×#4040	C₂²	semidirect
109. C₂×#4040	C₂²	semidirect
112. C₂×#4038	C₂²	semidirect
113. C₂×#4036	C₂²	semidirect
114. C₂×#4035	C₂²	semidirect
115. C₂×#4034	C₂²	semidirect
116. C₂×#4033	C₂²	semidirect
117. C₂×#4032	C₂²	semidirect
120. C₂×#4031	C₂²	semidirect
121. C₂×#4031	C₂²	semidirect
122. C₂×#4031	C₂²	semidirect
127. C₂×#4029	C₂²	semidirect
132. C₂×#4025	C₂²	semidirect
133. C₂×#4025	C₂²	semidirect
134. C₂×#4025	C₂²	semidirect
135. C₂×#4025	C₂²	semidirect
136. C₂×#4024	C₂²	semidirect
137. C₂×#4024	C₂²	semidirect
138. C₂×#4023	C₂²	semidirect
142. C₂×#4018	C₂²	semidirect
144. C₂×#4015	C₂²	semidirect
145. C₂×C₄×Dic₁₀	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
156. C₂²×C₅×Q₈	C₂³	semidirect
173. C₂×Q₈×D₅	C₂³	semidirect
192. C₅×C₄⋊Q₈	C₂³	semidirect
193. C₅×C₄⋊Q₈	C₂³	semidirect
196. C₅×#123	C₂³	semidirect
197. C₅×#123	C₂³	semidirect
198. C₅×C₂²⋊Q₈	C₂³	semidirect
199. C₅×C₂²⋊Q₈	C₂³	semidirect
200. C₅×#117	C₂³	semidirect
224. #4093	C₂³	semidirect
228. #4092	C₂³	semidirect
229. #4092	C₂³	semidirect
230. Q₈×Dic₅	C₂³	semidirect
231. Q₈×Dic₅	C₂³	semidirect
232. Q₈×Dic₅	C₂³	semidirect
233. #4090	C₂³	semidirect
234. #4090	C₂³	semidirect
237. #4084	C₂³	semidirect
240. #4082	C₂³	semidirect
243. #4076	C₂³	semidirect
247. C₄×C₂²⋊D₅	C₂³	semidirect
248. C₄×C₂²⋊D₅	C₂³	semidirect
249. C₄×C₂²⋊D₅	C₂³	semidirect
276. #4070	C₂³	semidirect
277. #4070	C₂³	semidirect
278. #4070	C₂³	semidirect
300. #4044	C₂³	semidirect
301. #4044	C₂³	semidirect
302. #4044	C₂³	semidirect
303. #4044	C₂³	semidirect
305. #4043	C₂³	semidirect
308. #4042	C₂³	semidirect
309. #4042	C₂³	semidirect
310. #4042	C₂³	semidirect
311. #4042	C₂³	semidirect
313. #4040	C₂³	semidirect
314. #4040	C₂³	semidirect
317. #4038	C₂³	semidirect
318. #4036	C₂³	semidirect
319. #4035	C₂³	semidirect
320. #4034	C₂³	semidirect
321. #4033	C₂³	semidirect
322. #4032	C₂³	semidirect
325. #4031	C₂³	semidirect
326. #4031	C₂³	semidirect
327. #4031	C₂³	semidirect
332. #4029	C₂³	semidirect
337. #4025	C₂³	semidirect
338. #4025	C₂³	semidirect
339. #4025	C₂³	semidirect
340. #4025	C₂³	semidirect
341. #4024	C₂³	semidirect
342. #4024	C₂³	semidirect
343. #4023	C₂³	semidirect
347. #4018	C₂³	semidirect
349. #4015	C₂³	semidirect
350. C₄×Dic₁₀	C₂³	semidirect
351. C₄×Dic₁₀	C₂³	semidirect
372. C₂×#536	D₅	semidirect
542. C₂³×Q₈	C₂×D₅	semidirect
563. #536	C₂×D₅	semidirect
569. C₂×C₄⋊Q₈	C₂×D₅	semidirect
570. C₂×C₄⋊Q₈	C₂×D₅	semidirect
604. C₂×#123	C₂×D₅	semidirect
605. C₂×#123	C₂×D₅	semidirect
624. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
625. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
654. C₂×#117	C₂×D₅	semidirect
771. C₂²×Q₈	C₂²×D₅	semidirect
800. C₄⋊Q₈	C₂²×D₅	semidirect
801. C₄⋊Q₈	C₂²×D₅	semidirect
833. #123	C₂²×D₅	semidirect
834. #123	C₂²×D₅	semidirect
853. C₂²⋊Q₈	C₂²×D₅	semidirect
854. C₂²⋊Q₈	C₂²×D₅	semidirect
883. #117	C₂²×D₅	semidirect
1163. C₂×C₅	#3561	semidirect
1262. C₅	C₂×#3561	semidirect
1311. C₂	#10618263	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×#536	2
C₂×#66165	2
C₂×#66163	2
C₂×#66151	2
C₂×Q₈×C₂²⋊D₅	2
#10618263	2
C₂×#66061	2
C₂×#66058	2
C₂×#66066	2
C₂×#66062	2
C₂×#66010	2
C₂×#66016	2
C₂×D₅×#124	2
C₂×#66005	2
C₂×#66001	2
C₂×#65993	2
C₂×#65991	2
C₂×#65996	2
C₂×#65971	2
C₂×#65968	2
C₂×#65980	2
C₂×#65974	2
C₂×#65868	2
C₂×#65862	2
C₂×#3561	5

Subgroups — C2×#10618263 #13006652

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618263 #13006652