Subgroups — C₂×#10618735 #13007276

Order 1280.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618735	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66039	C₂	1	2	yes	maximal, complemented
4	C₂×#66038	C₂	1	2	yes	maximal, complemented
5	C₂×#66029	C₂	1	2	yes	maximal, complemented
6	C₂×#66032	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#66026	C₂	1	2	yes	maximal, complemented
8	C₂×#66024	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#65988	C₂	1	2	yes	maximal, complemented
10	C₂×D₅×#123	C₂	1	2	yes	maximal, complemented
11	C₂×#65964	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65964	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65977	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65958	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65919	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65908	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×D₄×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65872	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65864	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65861	C₂	1	2	yes	maximal, complemented
21	C₂×#65858	C₂	1	2	yes	maximal, complemented
22	C₂×#65855	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65841	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#4039	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#713	C₂²	1	1	yes	characteristic
26	C₂²×D₄×D₅	C₂²	1	2	yes	—
27	C₂²×#709	C₂²	1	2	yes	complemented
28	C₂³×D₂₀	C₂²	1	1	yes	characteristic
29	C₂³×D₂₀	C₂²	1	1	yes	characteristic
30	C₂³×C₄×D₅	C₂²	1	2	yes	complemented
31	C₅×#552	C₂²	1	16	yes	complemented
32	C₂×C₅×#126	C₂²	1	2	yes	complemented
33	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₅×#125	C₂²	1	2	yes	complemented
35	C₂×C₅×#123	C₂²	1	2	yes	—
36	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₅×#117	C₂²	1	2	yes	complemented
42	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
45	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4085	C₂²	1	1	yes	characteristic
47	C₂×#4081	C₂²	1	1	yes	characteristic
48	C₂×#4076	C₂²	1	1	yes	characteristic
49	C₂×#4076	C₂²	1	1	yes	characteristic
50	C₂×#4075	C₂²	1	2	yes	complemented
51	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#685	C₂²	1	2	yes	complemented
54	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
56	#66039	C₂²	1	32	yes	complemented
57	#66038	C₂²	1	32	yes	complemented
58	#66032	C₂²	1	16	yes	complemented
59	#66029	C₂²	1	32	yes	complemented
60	#66026	C₂²	1	32	yes	complemented
61	#66024	C₂²	1	16	yes	complemented
62	#65988	C₂²	1	32	yes	complemented
63	D₅×#123	C₂²	1	32	yes	complemented
64	#65977	C₂²	1	16	yes	complemented
65	#65964	C₂²	1	16	yes	complemented
66	#65964	C₂²	1	16	yes	complemented
67	#65958	C₂²	1	16	yes	complemented
68	#65919	C₂²	1	16	yes	complemented
69	#65908	C₂²	1	16	yes	complemented
70	D₄×D₂₀	C₂²	1	16	yes	complemented
71	#65872	C₂²	1	16	yes	complemented
72	#65864	C₂²	1	16	yes	complemented
73	#65861	C₂²	1	32	yes	complemented
74	#65858	C₂²	1	32	yes	complemented
75	#65855	C₂²	1	16	yes	complemented
76	C₂×#4044	C₂²	1	2	yes	complemented
77	C₂×#4044	C₂²	1	2	yes	complemented
78	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
79	C₂×#4043	C₂²	1	2	yes	complemented
80	C₂×#4043	C₂²	1	2	yes	complemented
81	C₂×#4042	C₂²	1	2	yes	complemented
82	C₂×#4042	C₂²	1	2	yes	complemented
83	C₂×#4042	C₂²	1	2	yes	complemented
84	#65841	C₂²	1	16	yes	complemented
85	C₂×#4041	C₂²	1	2	yes	—
86	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
87	C₂×#4041	C₂²	1	2	yes	complemented
88	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
89	C₂×#4041	C₂²	1	2	yes	complemented
90	C₂×#4041	C₂²	1	2	yes	complemented
91	C₂×#4041	C₂²	1	2	yes	complemented
92	C₂×#4040	C₂²	1	2	yes	complemented
93	C₂×#4040	C₂²	1	2	yes	complemented
94	C₂×#4040	C₂²	1	2	yes	complemented
95	C₂×#4040	C₂²	1	2	yes	complemented
96	C₂×#4040	C₂²	1	2	yes	complemented
97	C₂×#4040	C₂²	1	2	yes	complemented
98	C₂×#4040	C₂²	1	2	yes	complemented
99	C₂×#4039	C₂²	1	1	yes	characteristic
100	C₂×#4039	C₂²	1	1	yes	characteristic
101	C₂×#4039	C₂²	1	1	yes	characteristic
102	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
103	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
104	C₂×#4039	C₂²	1	2	yes	complemented
105	C₂×#4039	C₂²	1	2	yes	complemented
106	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
107	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
108	C₂×#4039	C₂²	1	2	yes	complemented
109	C₂×#4039	C₂²	1	16	yes	complemented
110	C₂×#4038	C₂²	1	2	yes	complemented
111	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
113	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
114	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
115	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
116	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4032	C₂²	1	2	yes	complemented
118	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
119	C₂×#4031	C₂²	1	2	yes	complemented
120	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
121	C₂×#4030	C₂²	1	2	yes	complemented
122	C₂×#4029	C₂²	1	2	yes	complemented
123	C₂×#4029	C₂²	1	2	yes	complemented
124	C₂×#4028	C₂²	1	2	yes	—
125	C₂×#4028	C₂²	1	2	yes	—
126	C₂×#4028	C₂²	1	2	yes	complemented
127	C₂×#4028	C₂²	1	2	yes	complemented
128	C₂×#4027	C₂²	1	2	yes	complemented
129	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
130	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
131	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
132	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
133	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
134	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
135	C₂×#4022	C₂²	1	2	yes	complemented
136	C₂×#4021	C₂²	1	2	yes	complemented
137	C₂×#4020	C₂²	1	1	yes	characteristic
138	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
139	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
140	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
141	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
142	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
143	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
144	C₂×#4018	C₂²	1	2	yes	complemented
145	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3513	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂⁴×D₅	C₂³	1	2	yes	—
150	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
151	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₅	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
157	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
159	C₂³×Dic₅	C₂³	1	1	yes	characteristic
160	C₂³×Dic₅	C₂³	1	1	yes	characteristic
161	C₂×#713	—	2	8	no	—
162	C₂×#713	C₂³	1	8	yes	—
163	C₂×D₄×D₅	—	4	8	no	—
164	C₂×D₄×D₅	C₂³	1	16	yes	—
165	C₂×#709	—	4	8	no	—
166	C₂×#709	C₂³	1	16	yes	complemented
167	C₂²×D₂₀	—	2	8	no	—
168	C₂²×D₂₀	—	2	8	no	—
169	C₂²×D₂₀	C₂³	1	2	yes	—
170	C₂²×D₂₀	C₂³	1	2	yes	—
171	C₂²×D₂₀	C₂³	1	1	yes	characteristic
172	C₂²×D₂₀	C₂³	1	1	yes	characteristic
173	C₂²×D₂₀	C₂³	1	2	yes	—
174	C₂²×D₂₀	C₂³	1	8	yes	—
175	C₂²×D₂₀	C₂³	1	8	yes	—
176	C₂²×D₂₀	C₂³	1	2	yes	—
177	C₂²×D₂₀	C₂³	1	2	yes	—
178	C₂²×D₂₀	C₂³	1	2	yes	—
179	C₂²×D₂₀	C₂³	1	2	yes	—
180	C₂²×D₂₀	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₅	—	4	8	no	—
182	C₂²×C₄×D₅	C₂³	1	2	yes	—
183	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
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×C₄×D₅	C₂³	1	2	yes	—
188	C₂²×C₄×D₅	C₂³	1	2	yes	—
189	C₂²×C₄×D₅	C₂³	1	2	yes	—
190	C₂²×C₄×D₅	C₂³	1	2	yes	—
191	C₂²×C₄×D₅	C₂³	1	2	yes	—
192	C₂²×C₄×D₅	C₂³	1	2	yes	—
193	C₂²×C₄×D₅	C₂³	1	16	yes	complemented
194	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₀	C₂³	1	2	yes	—
196	C₅×#126	C₂³	1	16	yes	complemented
197	C₅×#125	C₂³	1	8	yes	complemented
198	C₅×#125	C₂³	1	16	yes	complemented
199	C₅×#123	C₂³	1	16	yes	—
200	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
201	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
202	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
203	C₄×C₅×D₄	C₂³	1	8	yes	—
204	C₅×#117	C₂³	1	8	yes	complemented
205	C₅×#117	C₂³	1	16	yes	complemented
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
211	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
212	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
213	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
214	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
215	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
216	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
217	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₅	C₂³	1	2	yes	—
224	C₂×C₄²×C₅	C₂³	1	2	yes	—
225	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
229	#4093	C₂³	1	8	yes	complemented
230	#4093	C₂³	1	8	yes	complemented
231	Q₈×Dic₅	C₂³	1	8	yes	complemented
232	#4085	C₂³	1	8	yes	—
233	#4081	C₂³	1	8	yes	—
234	#4076	C₂³	1	8	yes	—
235	#4076	C₂³	1	8	yes	—
236	#4075	C₂³	1	16	yes	complemented
237	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
238	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
239	C₂×#685	C₂³	1	2	yes	—
240	C₂×#685	C₂³	1	1	yes	characteristic
241	C₂×#685	C₂³	1	2	yes	—
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	1	yes	characteristic
244	C₂×#685	C₂³	1	2	yes	—
245	C₂×#685	C₂³	1	2	yes	—
246	C₂×#685	C₂³	1	2	yes	—
247	C₂×#685	C₂³	1	2	yes	—
248	C₂×#685	C₂³	1	2	yes	—
249	C₂×#685	C₂³	1	2	yes	—
250	C₂×#685	C₂³	1	2	yes	—
251	C₂×#685	C₂³	1	2	yes	—
252	C₂×#685	C₂³	1	2	yes	—
253	C₂×#685	C₂³	1	2	yes	—
254	C₂×#685	C₂³	1	2	yes	—
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	1	yes	characteristic
259	C₂×#685	C₂³	1	16	yes	complemented
260	#4072	C₂³	1	8	yes	complemented
261	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
266	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
267	C₂×#683	C₂³	1	1	yes	characteristic
268	C₂×#683	C₂³	1	1	yes	characteristic
269	C₂×#683	C₂³	1	1	yes	characteristic
270	C₂×#683	C₂³	1	2	yes	—
271	C₂×#683	C₂³	1	1	yes	characteristic
272	C₂×#683	C₂³	1	1	yes	characteristic
273	C₂×#683	C₂³	1	2	yes	—
274	C₂×#683	C₂³	1	1	yes	characteristic
275	C₂×#683	C₂³	1	2	yes	—
276	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₅	C₂³	1	2	yes	—
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	8	yes	complemented
283	#4044	C₂³	1	16	yes	complemented
284	#4044	C₂³	1	8	yes	complemented
285	#4044	C₂³	1	16	yes	complemented
286	#4043	C₂³	1	16	yes	complemented
287	#4043	C₂³	1	16	yes	complemented
288	#4042	C₂³	1	16	yes	complemented
289	#4042	C₂³	1	16	yes	complemented
290	#4042	C₂³	1	16	yes	complemented
291	#4041	C₂³	1	16	yes	—
292	#4041	C₂³	1	8	yes	complemented
293	#4041	C₂³	1	16	yes	complemented
294	#4041	C₂³	1	16	yes	complemented
295	#4041	C₂³	1	8	yes	complemented
296	#4041	C₂³	1	16	yes	complemented
297	#4041	C₂³	1	16	yes	complemented
298	#4040	C₂³	1	16	yes	complemented
299	#4040	C₂³	1	16	yes	complemented
300	#4040	C₂³	1	16	yes	complemented
301	#4040	C₂³	1	16	yes	complemented
302	#4040	C₂³	1	16	yes	complemented
303	#4040	C₂³	1	16	yes	complemented
304	#4040	C₂³	1	16	yes	complemented
305	#4039	C₂³	1	8	yes	—
306	#4039	C₂³	1	8	yes	—
307	#4039	C₂³	1	8	yes	—
308	#4039	C₂³	1	8	yes	complemented
309	#4039	C₂³	1	8	yes	complemented
310	#4039	C₂³	1	16	yes	complemented
311	#4039	C₂³	1	16	yes	complemented
312	#4039	C₂³	1	8	yes	complemented
313	#4039	C₂³	1	8	yes	complemented
314	#4039	C₂³	1	16	yes	complemented
315	#4038	C₂³	1	16	yes	complemented
316	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
317	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
318	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
319	#4036	C₂³	1	8	yes	complemented
320	#4035	C₂³	1	8	yes	complemented
321	#4034	C₂³	1	8	yes	complemented
322	#4032	C₂³	1	8	yes	complemented
323	#4032	C₂³	1	16	yes	complemented
324	#4031	C₂³	1	8	yes	complemented
325	#4031	C₂³	1	16	yes	complemented
326	#4030	C₂³	1	16	yes	complemented
327	#4029	C₂³	1	16	yes	complemented
328	#4029	C₂³	1	16	yes	complemented
329	#4028	C₂³	1	16	yes	—
330	#4028	C₂³	1	16	yes	—
331	#4028	C₂³	1	16	yes	complemented
332	#4028	C₂³	1	16	yes	complemented
333	#4027	C₂³	1	16	yes	complemented
334	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
335	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
336	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
337	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
338	#4025	C₂³	1	8	yes	complemented
339	#4024	C₂³	1	8	yes	complemented
340	#4022	C₂³	1	16	yes	complemented
341	#4021	C₂³	1	16	yes	complemented
342	#4020	C₂³	1	8	yes	—
343	C₄×D₂₀	C₂³	1	8	yes	—
344	C₄×D₂₀	C₂³	1	16	yes	complemented
345	C₄×D₂₀	C₂³	1	16	yes	complemented
346	C₄×D₂₀	C₂³	1	16	yes	complemented
347	C₄×D₂₀	C₂³	1	16	yes	complemented
348	C₄×D₂₀	C₂³	1	16	yes	complemented
349	#4018	C₂³	1	16	yes	complemented
350	#4018	C₂³	1	8	yes	complemented
351	C₄×Dic₁₀	C₂³	1	8	yes	complemented
352	#3513	—	5	32	no	—
353	C₂×#559	—	5	1	no	—
354	C₂×#554	—	5	1	no	—
355	C₂×#553	—	5	2	no	—
356	C₂×#553	—	5	1	no	—
357	C₂×#552	D₅	1	1	yes	characteristic, complemented
358	C₂×#551	—	5	2	no	—
359	C₂×#551	—	5	2	no	—
360	C₂×#547	—	5	1	no	—
361	C₂×#546	—	5	2	no	—
362	C₂×#546	—	5	1	no	—
363	C₂×#546	—	5	1	no	—
364	C₂×D₄²	—	5	1	no	—
365	C₂×#542	—	5	1	no	—
366	C₂×#540	—	5	1	no	—
367	C₂×#539	—	5	2	no	—
368	C₂×#538	—	5	2	no	—
369	C₂×#529	—	5	1	no	—
370	C₂×#529	—	5	1	no	—
371	C₂×#525	—	5	2	no	—
372	C₂²×#123	—	5	2	no	—
373	C₂×#520	—	5	1	no	—
374	C₂×#518	—	5	1	no	—
375	C₂²×C₄×D₄	—	5	1	no	—
376	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
378	C₂³×D₅	—	2	8	no	—
379	C₂³×D₅	—	2	8	no	—
380	C₂³×D₅	—	2	8	no	—
381	C₂³×D₅	—	4	4	no	—
382	C₂³×D₅	—	4	4	no	—
383	C₂³×D₅	—	4	4	no	—
384	C₂³×D₅	C₂⁴	1	1	yes	characteristic
385	C₂³×D₅	C₂⁴	1	2	yes	—
386	C₂³×D₅	C₂⁴	1	2	yes	—
387	C₂³×D₅	C₂⁴	1	8	yes	—
388	C₂³×D₅	C₂⁴	1	2	yes	—
389	C₂³×D₅	C₂⁴	1	8	yes	—
390	C₂×C₅×Q₈	—	2	4	no	—
391	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
392	C₂×C₅×D₄	—	2	4	no	—
393	C₂×C₅×D₄	C₂⁴	1	4	yes	—
394	C₂²×C₄×C₅	—	2	8	no	—
395	C₂²×C₄×C₅	—	2	4	no	—
396	C₂²×C₄×C₅	—	2	4	no	—
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
401	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
406	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
407	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂×C₂²⋊D₅	—	2	4	no	—
410	C₂×C₂²⋊D₅	—	2	8	no	—
411	C₂×C₂²⋊D₅	—	4	4	no	—
412	C₂×C₂²⋊D₅	—	4	2	no	—
413	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
414	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
415	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
416	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
417	C₂²×Dic₅	—	2	4	no	—
418	C₂²×Dic₅	—	4	2	no	—
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₅	C₂⁴	1	2	yes	—
426	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₅	C₂⁴	1	4	yes	—
428	C₂²×Dic₅	C₂⁴	1	4	yes	—
429	#713	—	2	32	no	—
430	D₄×D₅	—	4	32	no	—
431	#709	—	4	32	no	—
432	C₂×D₂₀	—	2	8	no	—
433	C₂×D₂₀	—	2	8	no	—
434	C₂×D₂₀	—	2	8	no	—
435	C₂×D₂₀	—	2	4	no	—
436	C₂×D₂₀	—	2	4	no	—
437	C₂×D₂₀	—	2	32	no	—
438	C₂×D₂₀	—	2	32	no	—
439	C₂×D₂₀	—	4	4	no	—
440	C₂×D₂₀	—	4	4	no	—
441	C₂×D₂₀	—	4	4	no	—
442	C₂×D₂₀	—	4	4	no	—
443	C₂×D₂₀	#41	1	8	yes	complemented
444	C₂×D₂₀	C₂⁴	1	8	yes	—
445	C₂×D₂₀	C₂⁴	1	4	yes	—
446	C₂×D₂₀	C₂⁴	1	4	yes	—
447	C₂×D₂₀	C₂⁴	1	8	yes	—
448	C₂×D₂₀	C₂⁴	1	8	yes	—
449	C₂×D₂₀	C₂⁴	1	8	yes	—
450	C₂×D₂₀	C₂⁴	1	8	yes	—
451	C₂×D₂₀	C₂⁴	1	8	yes	—
452	C₂×D₂₀	C₂⁴	1	8	yes	—
453	C₂×D₂₀	C₂⁴	1	4	yes	—
454	C₂×C₄×D₅	—	2	8	no	—
455	C₂×C₄×D₅	—	2	4	no	—
456	C₂×C₄×D₅	—	4	4	no	—
457	C₂×C₄×D₅	—	4	4	no	—
458	C₂×C₄×D₅	—	4	4	no	—
459	C₂×C₄×D₅	—	4	4	no	—
460	C₂×C₄×D₅	—	4	32	no	—
461	C₂×C₄×D₅	—	4	4	no	—
462	C₂×C₄×D₅	—	4	4	no	—
463	C₂×C₄×D₅	—	4	4	no	—
464	C₂×C₄×D₅	—	4	4	no	—
465	C₂×C₄×D₅	—	4	4	no	—
466	C₂×C₄×D₅	C₂⁴	1	8	yes	—
467	C₂×C₄×D₅	C₂⁴	1	4	yes	—
468	C₂×C₄×D₅	C₂⁴	1	8	yes	—
469	C₂×C₄×D₅	C₂⁴	1	8	yes	—
470	C₂×C₄×D₅	C₂⁴	1	8	yes	—
471	C₂×C₄×D₅	C₂⁴	1	8	yes	—
472	C₂×C₄×D₅	C₂⁴	1	8	yes	—
473	C₂×C₄×D₅	C₂⁴	1	8	yes	—
474	C₂×C₄×D₅	C₂⁴	1	8	yes	—
475	C₂×C₄×D₅	C₂⁴	1	8	yes	—
476	C₂×C₄×D₅	C₂⁴	1	8	yes	—
477	C₂×Dic₁₀	—	4	2	no	—
478	C₂×Dic₁₀	—	4	4	no	—
479	C₂×Dic₁₀	C₂⁴	1	8	yes	—
480	C₂×Dic₁₀	C₂⁴	1	4	yes	—
481	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
482	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
483	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
484	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
485	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
486	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
487	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
488	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
489	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
490	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
491	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
492	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
493	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
494	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
495	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
496	C₄²×C₅	C₂⁴	1	8	yes	—
497	C₄²×C₅	C₂⁴	1	8	yes	—
498	C₄²×C₅	C₂⁴	1	4	yes	—
499	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
500	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
501	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
502	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
503	#685	C₂⁴	1	8	yes	—
504	#685	C₂⁴	1	4	yes	—
505	#685	C₂⁴	1	8	yes	—
506	#685	C₂⁴	1	4	yes	—
507	#685	C₂⁴	1	4	yes	—
508	#685	C₂⁴	1	8	yes	—
509	#685	C₂⁴	1	8	yes	—
510	#685	C₂⁴	1	8	yes	—
511	#685	C₂⁴	1	8	yes	—
512	#685	C₂⁴	1	8	yes	—
513	#685	C₂⁴	1	8	yes	—
514	#685	C₂⁴	1	8	yes	—
515	#685	C₂⁴	1	8	yes	—
516	#685	C₂⁴	1	8	yes	—
517	#685	C₂⁴	1	8	yes	—
518	#685	C₂⁴	1	8	yes	—
519	#685	C₂⁴	1	8	yes	—
520	#685	C₂⁴	1	8	yes	—
521	#685	C₂⁴	1	8	yes	—
522	#685	C₂⁴	1	4	yes	—
523	C₄⋊Dic₅	C₂⁴	1	4	yes	—
524	C₄⋊Dic₅	C₂⁴	1	4	yes	—
525	C₄⋊Dic₅	C₂⁴	1	4	yes	—
526	C₄⋊Dic₅	C₂⁴	1	4	yes	—
527	C₄⋊Dic₅	C₂⁴	1	8	yes	—
528	C₄⋊Dic₅	C₂⁴	1	8	yes	—
529	#683	C₂⁴	1	4	yes	—
530	#683	C₂⁴	1	4	yes	—
531	#683	C₂⁴	1	4	yes	—
532	#683	C₂⁴	1	8	yes	—
533	#683	C₂⁴	1	4	yes	—
534	#683	C₂⁴	1	4	yes	—
535	#683	C₂⁴	1	8	yes	—
536	#683	C₂⁴	1	4	yes	—
537	#683	C₂⁴	1	8	yes	—
538	C₄×Dic₅	C₂⁴	1	4	yes	—
539	C₄×Dic₅	C₂⁴	1	4	yes	—
540	C₄×Dic₅	C₂⁴	1	8	yes	—
541	C₄×Dic₅	C₂⁴	1	4	yes	—
542	C₄×Dic₅	C₂⁴	1	4	yes	—
543	C₄×Dic₅	C₂⁴	1	4	yes	—
544	C₂²×#41	—	5	1	no	—
545	C₂²×#41	—	5	2	no	—
546	C₂³×D₄	—	5	2	no	—
547	C₂³×D₄	—	5	1	no	—
548	C₂³×D₄	—	5	1	no	—
549	C₂⁴×C₄	—	5	2	no	—
550	#559	—	5	16	no	—
551	#554	—	5	16	no	—
552	#553	—	5	32	no	—
553	#553	—	5	16	no	—
554	#552	C₂×D₅	1	16	yes	complemented
555	#551	—	5	32	no	—
556	#551	—	5	32	no	—
557	#547	—	5	16	no	—
558	#546	—	5	32	no	—
559	#546	—	5	16	no	—
560	#546	—	5	16	no	—
561	D₄²	—	5	16	no	—
562	#542	—	5	16	no	—
563	#540	—	5	16	no	—
564	#539	—	5	32	no	—
565	#538	—	5	32	no	—
566	C₂×C₄⋊Q₈	—	5	1	no	—
567	C₂×#127	—	5	1	no	—
568	#529	—	5	16	no	—
569	#529	—	5	16	no	—
570	C₂×#126	—	5	2	no	—
571	C₂×#126	—	5	1	no	—
572	C₂×#126	—	5	2	no	—
573	C₂×#126	—	5	1	no	—
574	C₂×#126	—	5	2	no	—
575	C₂×#126	C₂×D₅	1	2	yes	complemented
576	C₂×#125	—	5	1	no	—
577	C₂×#125	—	5	1	no	—
578	C₂×#125	C₂×D₅	1	2	yes	complemented
579	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
580	C₂×#124	—	5	1	no	—
581	C₂×#124	—	5	1	no	—
582	C₂×#124	—	5	1	no	—
583	C₂×#124	—	5	2	no	—
584	C₂×#124	—	5	2	no	—
585	#525	—	5	32	no	—
586	C₂×#123	—	5	1	no	—
587	C₂×#123	—	5	2	no	—
588	C₂×#123	—	5	32	no	—
589	C₂×#123	—	5	2	no	—
590	C₂×#123	—	5	2	no	—
591	C₂×#123	—	5	2	no	—
592	C₂×#123	—	5	2	no	—
593	C₂×#123	—	5	2	no	—
594	C₂×#123	—	5	2	no	—
595	C₂×#123	—	5	2	no	—
596	C₂×#123	—	5	2	no	—
597	C₂×#123	—	5	2	no	—
598	C₂×#123	—	5	2	no	—
599	C₂×#123	—	5	1	no	—
600	C₂×#123	C₂×D₅	1	2	yes	—
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	1	no	—
607	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
608	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
609	C₂×#121	—	5	1	no	—
610	C₂×#121	—	5	1	no	—
611	C₂×#121	—	5	1	no	—
612	C₂×#121	—	5	2	no	—
613	C₂×#121	—	5	2	no	—
614	C₂×#121	—	5	2	no	—
615	C₂×#121	—	5	2	no	—
616	C₂×#121	—	5	1	no	—
617	C₂×#121	—	5	2	no	—
618	C₂×#121	—	5	1	no	—
619	C₂×#121	—	5	2	no	—
620	C₂×#120	—	5	2	no	—
621	C₂×#120	—	5	2	no	—
622	C₂×#120	—	5	2	no	—
623	C₂×#120	—	5	2	no	—
624	#520	—	5	16	no	—
625	#518	—	5	16	no	—
626	C₂×C₄×Q₈	—	5	1	no	—
627	C₂×C₄×Q₈	—	5	1	no	—
628	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
629	C₂×C₄×D₄	—	5	1	no	—
630	C₂×C₄×D₄	—	5	1	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	—	5	2	no	—
635	C₂×C₄×D₄	—	5	1	no	—
636	C₂×C₄×D₄	—	5	2	no	—
637	C₂×C₄×D₄	—	5	1	no	—
638	C₂×C₄×D₄	—	5	1	no	—
639	C₂×C₄×D₄	—	5	1	no	—
640	C₂×C₄×D₄	—	5	2	no	—
641	C₂×C₄×D₄	—	5	16	no	—
642	C₂×C₄×D₄	—	5	2	no	—
643	C₂×C₄×D₄	—	5	1	no	—
644	C₂×C₄×D₄	—	5	2	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	2	no	—
649	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
650	C₂×#117	—	5	1	no	—
651	C₂×#117	—	5	2	no	—
652	C₂×#117	—	5	1	no	—
653	C₂×#117	—	5	2	no	—
654	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
655	C₂×#117	C₂×D₅	1	2	yes	complemented
656	C₂²×C₄⋊C₄	—	5	2	no	—
657	C₂²×C₄⋊C₄	—	5	1	no	—
658	C₂²×C₄⋊C₄	—	5	2	no	—
659	C₂²×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
660	C₂²×C₂²⋊C₄	—	5	2	no	—
661	C₂²×C₂²⋊C₄	—	5	2	no	—
662	C₂²×C₂²⋊C₄	—	5	2	no	—
663	C₂²×C₂²⋊C₄	—	5	2	no	—
664	C₂²×C₂²⋊C₄	—	5	2	no	—
665	C₂²×C₄²	—	5	1	no	—
666	C₂³×C₅	—	2	2	no	—
667	C₂³×C₅	—	2	2	no	—
668	C₂³×C₅	—	2	2	no	—
669	C₂³×C₅	—	2	2	no	—
670	C₂³×C₅	—	2	2	no	—
671	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
672	C₂³×C₅	C₂⁵	1	2	yes	—
673	C₂³×C₅	C₂⁵	1	2	yes	—
674	C₂³×C₅	C₂⁵	1	1	yes	characteristic
675	C₂²×D₅	—	2	4	no	—
676	C₂²×D₅	—	2	4	no	—
677	C₂²×D₅	—	2	2	no	—
678	C₂²×D₅	—	2	4	no	—
679	C₂²×D₅	—	2	4	no	—
680	C₂²×D₅	—	2	2	no	—
681	C₂²×D₅	—	2	4	no	—
682	C₂²×D₅	—	2	16	no	—
683	C₂²×D₅	—	2	4	no	—
684	C₂²×D₅	—	2	4	no	—
685	C₂²×D₅	—	2	2	no	—
686	C₂²×D₅	—	2	4	no	—
687	C₂²×D₅	—	2	16	no	—
688	C₂²×D₅	—	2	16	no	—
689	C₂²×D₅	—	4	8	no	—
690	C₂²×D₅	—	4	8	no	—
691	C₂²×D₅	—	4	8	no	—
692	C₂²×D₅	—	4	32	no	—
693	C₂²×D₅	—	8	16	no	—
694	C₂²×D₅	C₂×#41	1	8	yes	—
695	C₂²×D₅	C₂⁵	1	4	yes	—
696	C₂²×D₅	C₂⁵	1	4	yes	—
697	C₂²×D₅	C₂⁵	1	2	yes	—
698	C₂²×D₅	C₂⁵	1	4	yes	—
699	C₅×Q₈	—	2	8	no	—
700	C₅×D₄	—	2	8	no	—
701	C₂×C₄×C₅	—	2	4	no	—
702	C₂×C₄×C₅	—	2	2	no	—
703	C₂×C₄×C₅	—	2	2	no	—
704	C₂×C₄×C₅	—	2	4	no	—
705	C₂×C₄×C₅	—	2	4	no	—
706	C₂×C₄×C₅	—	2	2	no	—
707	C₂×C₄×C₅	—	2	16	no	—
708	C₂×C₄×C₅	—	2	2	no	—
709	C₂×C₄×C₅	—	2	4	no	—
710	C₂×C₄×C₅	—	2	8	no	—
711	C₂×C₄×C₅	—	2	8	no	—
712	C₂×C₄×C₅	C₂×#41	1	4	yes	—
713	C₂×C₄×C₅	C₂⁵	1	2	yes	—
714	C₂×C₄×C₅	C₂⁵	1	4	yes	—
715	C₂×C₄×C₅	C₂⁵	1	2	yes	—
716	C₂×C₄×C₅	C₂⁵	1	2	yes	—
717	C₂×C₄×C₅	C₂⁵	1	2	yes	—
718	C₂×C₄×C₅	C₂⁵	1	4	yes	—
719	C₂×C₄×C₅	C₂⁵	1	4	yes	—
720	C₂×C₄×C₅	C₂⁵	1	4	yes	—
721	C₂×C₄×C₅	C₂⁵	1	2	yes	—
722	C₂²⋊D₅	—	2	8	no	—
723	C₂²⋊D₅	—	2	16	no	—
724	C₂²⋊D₅	—	4	8	no	—
725	C₂²⋊D₅	—	4	4	no	—
726	C₂×Dic₅	—	2	2	no	—
727	C₂×Dic₅	—	2	2	no	—
728	C₂×Dic₅	—	2	4	no	—
729	C₂×Dic₅	—	2	8	no	—
730	C₂×Dic₅	—	2	2	no	—
731	C₂×Dic₅	—	2	2	no	—
732	C₂×Dic₅	—	2	2	no	—
733	C₂×Dic₅	—	2	2	no	—
734	C₂×Dic₅	—	2	2	no	—
735	C₂×Dic₅	—	4	4	no	—
736	C₂×Dic₅	C₂⁵	1	2	yes	—
737	C₂×Dic₅	C₂⁵	1	2	yes	—
738	C₂×Dic₅	C₂⁵	1	2	yes	—
739	C₂×Dic₅	C₂⁵	1	2	yes	—
740	C₂×Dic₅	C₂⁵	1	4	yes	—
741	C₂×Dic₅	C₂⁵	1	2	yes	—
742	C₂×Dic₅	C₂⁵	1	2	yes	—
743	C₂×Dic₅	C₂⁵	1	2	yes	—
744	D₂₀	—	2	16	no	—
745	D₂₀	—	2	16	no	—
746	D₂₀	—	2	16	no	—
747	D₂₀	—	2	8	no	—
748	D₂₀	—	2	8	no	—
749	D₂₀	—	4	8	no	—
750	D₂₀	—	4	8	no	—
751	D₂₀	—	4	8	no	—
752	D₂₀	—	4	8	no	—
753	D₂₀	C₂×#41	1	16	yes	complemented
754	C₄×D₅	—	2	16	no	—
755	C₄×D₅	—	2	8	no	—
756	C₄×D₅	—	4	8	no	—
757	C₄×D₅	—	4	8	no	—
758	C₄×D₅	—	4	8	no	—
759	C₄×D₅	—	4	8	no	—
760	C₄×D₅	—	4	8	no	—
761	C₄×D₅	—	4	8	no	—
762	C₄×D₅	—	4	8	no	—
763	C₄×D₅	—	4	8	no	—
764	C₄×D₅	—	4	8	no	—
765	Dic₁₀	—	4	4	no	—
766	Dic₁₀	—	4	8	no	—
767	C₂⁵	—	5	2	no	—
768	C₂⁵	—	5	2	no	—
769	C₂×#41	—	5	8	no	—
770	C₂×#41	—	5	16	no	—
771	C₂×#41	—	10	8	no	—
772	C₂×#41	—	20	8	no	—
773	C₂²×Q₈	—	5	1	no	—
774	C₂²×Q₈	—	5	2	no	—
775	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
776	C₂²×D₄	—	5	1	no	—
777	C₂²×D₄	—	5	2	no	—
778	C₂²×D₄	—	5	1	no	—
779	C₂²×D₄	—	5	2	no	—
780	C₂²×D₄	—	5	16	no	—
781	C₂²×D₄	—	5	1	no	—
782	C₂²×D₄	—	5	2	no	—
783	C₂²×D₄	—	5	2	no	—
784	C₂²×D₄	—	5	2	no	—
785	C₂²×D₄	—	5	1	no	—
786	C₂²×D₄	—	5	1	no	—
787	C₂²×D₄	—	5	8	no	—
788	C₂²×D₄	—	5	8	no	—
789	C₂²×D₄	—	5	2	no	—
790	C₂²×D₄	—	5	2	no	—
791	C₂²×D₄	—	5	2	no	—
792	C₂²×D₄	—	5	2	no	—
793	C₂²×D₄	—	10	8	no	—
794	C₂²×D₄	—	10	8	no	—
795	C₂²×D₄	—	20	8	no	—
796	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
797	C₂³×C₄	—	5	1	no	—
798	C₂³×C₄	—	5	1	no	—
799	C₂³×C₄	—	5	2	no	—
800	C₂³×C₄	—	5	1	no	—
801	C₂³×C₄	—	5	2	no	—
802	C₂³×C₄	—	5	2	no	—
803	C₂³×C₄	—	5	2	no	—
804	C₂³×C₄	—	5	2	no	—
805	C₂³×C₄	—	5	2	no	—
806	C₂³×C₄	—	5	2	no	—
807	C₂³×C₄	—	5	2	no	—
808	C₂³×C₄	—	5	2	no	—
809	C₂³×C₄	—	5	2	no	—
810	C₂³×C₄	—	5	16	no	—
811	C₂³×C₄	—	20	8	no	—
812	C₂³×C₄	C₂²×D₅	1	2	yes	—
813	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
814	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
815	C₄⋊Q₈	—	5	8	no	—
816	#127	—	5	8	no	—
817	#126	—	5	16	no	—
818	#126	—	5	8	no	—
819	#126	—	5	16	no	—
820	#126	—	5	8	no	—
821	#126	—	5	16	no	—
822	#126	C₂²×D₅	1	16	yes	complemented
823	#125	—	5	8	no	—
824	#125	—	5	8	no	—
825	#125	C₂²×D₅	1	16	yes	complemented
826	#125	C₂²×D₅	1	8	yes	complemented
827	#124	—	5	8	no	—
828	#124	—	5	8	no	—
829	#124	—	5	8	no	—
830	#124	—	5	16	no	—
831	#124	—	5	16	no	—
832	#123	—	5	8	no	—
833	#123	—	5	16	no	—
834	#123	—	5	16	no	—
835	#123	—	5	16	no	—
836	#123	—	5	16	no	—
837	#123	—	5	16	no	—
838	#123	—	5	16	no	—
839	#123	—	5	16	no	—
840	#123	—	5	16	no	—
841	#123	—	5	16	no	—
842	#123	—	5	16	no	—
843	#123	—	5	16	no	—
844	#123	—	5	8	no	—
845	#123	C₂²×D₅	1	16	yes	—
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	8	no	—
852	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
853	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
854	#121	—	5	8	no	—
855	#121	—	5	8	no	—
856	#121	—	5	8	no	—
857	#121	—	5	16	no	—
858	#121	—	5	16	no	—
859	#121	—	5	16	no	—
860	#121	—	5	16	no	—
861	#121	—	5	8	no	—
862	#121	—	5	16	no	—
863	#121	—	5	8	no	—
864	#121	—	5	16	no	—
865	#120	—	5	16	no	—
866	#120	—	5	16	no	—
867	#120	—	5	16	no	—
868	#120	—	5	16	no	—
869	C₄×Q₈	—	5	8	no	—
870	C₄×Q₈	—	5	8	no	—
871	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
872	C₄×D₄	—	5	8	no	—
873	C₄×D₄	—	5	8	no	—
874	C₄×D₄	—	5	8	no	—
875	C₄×D₄	—	5	16	no	—
876	C₄×D₄	—	5	8	no	—
877	C₄×D₄	—	5	8	no	—
878	C₄×D₄	—	5	16	no	—
879	C₄×D₄	—	5	8	no	—
880	C₄×D₄	—	5	8	no	—
881	C₄×D₄	—	5	8	no	—
882	C₄×D₄	—	5	8	no	—
883	C₄×D₄	—	5	16	no	—
884	C₄×D₄	—	5	16	no	—
885	C₄×D₄	—	5	16	no	—
886	C₄×D₄	—	5	16	no	—
887	C₄×D₄	—	5	16	no	—
888	C₄×D₄	—	5	8	no	—
889	C₄×D₄	—	5	16	no	—
890	C₄×D₄	—	5	16	no	—
891	C₄×D₄	C₂²×D₅	1	8	yes	—
892	#117	—	5	8	no	—
893	#117	—	5	16	no	—
894	#117	—	5	8	no	—
895	#117	—	5	16	no	—
896	#117	C₂²×D₅	1	8	yes	complemented
897	#117	C₂²×D₅	1	16	yes	complemented
898	C₂×C₄⋊C₄	—	5	2	no	—
899	C₂×C₄⋊C₄	—	5	1	no	—
900	C₂×C₄⋊C₄	—	5	1	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	—	5	1	no	—
906	C₂×C₄⋊C₄	—	5	1	no	—
907	C₂×C₄⋊C₄	—	5	1	no	—
908	C₂×C₄⋊C₄	—	5	1	no	—
909	C₂×C₄⋊C₄	—	5	2	no	—
910	C₂×C₄⋊C₄	—	5	1	no	—
911	C₂×C₄⋊C₄	—	5	1	no	—
912	C₂×C₄⋊C₄	—	5	1	no	—
913	C₂×C₄⋊C₄	—	5	16	no	—
914	C₂×C₄⋊C₄	—	5	8	no	—
915	C₂×C₄⋊C₄	—	5	16	no	—
916	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
918	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
919	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
921	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
922	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
924	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
925	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂²×D₅	1	8	yes	complemented
927	C₂×C₂²⋊C₄	—	5	1	no	—
928	C₂×C₂²⋊C₄	—	5	1	no	—
929	C₂×C₂²⋊C₄	—	5	1	no	—
930	C₂×C₂²⋊C₄	—	5	1	no	—
931	C₂×C₂²⋊C₄	—	5	2	no	—
932	C₂×C₂²⋊C₄	—	5	2	no	—
933	C₂×C₂²⋊C₄	—	5	2	no	—
934	C₂×C₂²⋊C₄	—	5	2	no	—
935	C₂×C₂²⋊C₄	—	5	2	no	—
936	C₂×C₂²⋊C₄	—	5	2	no	—
937	C₂×C₂²⋊C₄	—	5	2	no	—
938	C₂×C₂²⋊C₄	—	5	2	no	—
939	C₂×C₂²⋊C₄	—	5	16	no	—
940	C₂×C₂²⋊C₄	—	5	2	no	—
941	C₂×C₂²⋊C₄	—	5	2	no	—
942	C₂×C₂²⋊C₄	—	5	2	no	—
943	C₂×C₂²⋊C₄	—	5	2	no	—
944	C₂×C₂²⋊C₄	—	5	1	no	—
945	C₂×C₂²⋊C₄	—	5	1	no	—
946	C₂×C₂²⋊C₄	—	5	2	no	—
947	C₂×C₂²⋊C₄	—	5	1	no	—
948	C₂×C₂²⋊C₄	—	5	2	no	—
949	C₂×C₂²⋊C₄	—	5	2	no	—
950	C₂×C₂²⋊C₄	—	5	2	no	—
951	C₂×C₂²⋊C₄	—	5	1	no	—
952	C₂×C₂²⋊C₄	—	5	16	no	—
953	C₂×C₂²⋊C₄	—	5	16	no	—
954	C₂×C₂²⋊C₄	—	5	16	no	—
955	C₂×C₂²⋊C₄	—	5	16	no	—
956	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
957	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
958	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
959	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
961	C₂×C₄²	—	5	1	no	—
962	C₂×C₄²	—	5	2	no	—
963	C₂×C₄²	—	5	1	no	—
964	C₂×C₄²	—	5	1	no	—
965	C₂×C₄²	—	5	1	no	—
966	C₂×C₄²	—	5	1	no	—
967	C₂×C₄²	—	5	8	no	—
968	C₂×C₄²	C₂²×D₅	1	2	yes	—
969	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
970	C₂×C₄²	C₂²×D₅	1	2	yes	—
971	C₂²×C₅	—	2	2	no	—
972	C₂²×C₅	—	2	2	no	—
973	C₂²×C₅	—	2	8	no	—
974	C₂²×C₅	—	2	2	no	—
975	C₂²×C₅	—	2	2	no	—
976	C₂²×C₅	—	2	2	no	—
977	C₂²×C₅	—	4	4	no	—
978	C₂²×C₅	C₂²×#41	1	2	yes	—
979	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
980	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
981	C₂²×C₅	#585	1	2	yes	—
982	C₂²×C₅	C₂⁶	1	1	yes	characteristic
983	C₂×D₅	—	2	4	no	—
984	C₂×D₅	—	2	4	no	—
985	C₂×D₅	—	2	16	no	—
986	C₂×D₅	—	2	2	no	—
987	C₂×D₅	—	2	4	no	—
988	C₂×D₅	—	2	4	no	—
989	C₂×D₅	—	2	2	no	—
990	C₂×D₅	—	2	4	no	—
991	C₂×D₅	—	2	4	no	—
992	C₂×D₅	—	2	4	no	—
993	C₂×D₅	—	2	2	no	—
994	C₂×D₅	—	2	4	no	—
995	C₂×D₅	—	4	32	no	—
996	C₂×D₅	—	4	4	no	—
997	C₂×D₅	—	4	8	no	—
998	C₂×D₅	—	4	8	no	—
999	C₂×D₅	—	8	16	no	—
1000	C₂×D₅	C₂²×#41	1	8	yes	—
1001	C₄×C₅	—	2	4	no	—
1002	C₄×C₅	—	2	2	no	—
1003	C₄×C₅	—	2	2	no	—
1004	C₄×C₅	—	2	4	no	—
1005	C₄×C₅	—	2	4	no	—
1006	C₄×C₅	—	2	2	no	—
1007	C₄×C₅	—	2	2	no	—
1008	C₄×C₅	—	2	4	no	—
1009	C₄×C₅	C₂²×#41	1	4	yes	—
1010	Dic₅	—	2	2	no	—
1011	Dic₅	—	2	2	no	—
1012	Dic₅	—	2	4	no	—
1013	Dic₅	—	2	2	no	—
1014	Dic₅	—	2	2	no	—
1015	Dic₅	—	2	2	no	—
1016	Dic₅	—	2	2	no	—
1017	Dic₅	—	2	2	no	—
1018	C₂⁴	—	5	2	no	—
1019	C₂⁴	—	5	2	no	—
1020	C₂⁴	—	5	2	no	—
1021	C₂⁴	—	5	1	no	—
1022	C₂⁴	—	5	8	no	—
1023	C₂⁴	—	5	8	no	—
1024	C₂⁴	—	10	8	no	—
1025	C₂⁴	—	10	8	no	—
1026	C₂⁴	—	10	8	no	—
1027	C₂⁴	—	20	4	no	—
1028	C₂⁴	—	20	4	no	—
1029	C₂⁴	—	20	4	no	—
1030	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1031	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1032	#41	—	10	32	no	—
1033	#41	—	20	32	no	—
1034	C₂×Q₈	—	2	4	no	—
1035	C₂×Q₈	—	5	4	no	—
1036	C₂×Q₈	—	5	8	no	—
1037	C₂×Q₈	—	20	4	no	—
1038	C₂×Q₈	—	20	2	no	—
1039	C₂×Q₈	C₂³×D₅	1	4	yes	—
1040	C₂×D₄	—	2	4	no	—
1041	C₂×D₄	—	5	4	no	—
1042	C₂×D₄	—	5	8	no	—
1043	C₂×D₄	—	5	4	no	—
1044	C₂×D₄	—	5	8	no	—
1045	C₂×D₄	—	5	8	no	—
1046	C₂×D₄	—	5	4	no	—
1047	C₂×D₄	—	5	8	no	—
1048	C₂×D₄	—	5	8	no	—
1049	C₂×D₄	—	5	8	no	—
1050	C₂×D₄	—	5	4	no	—
1051	C₂×D₄	—	5	4	no	—
1052	C₂×D₄	—	5	8	no	—
1053	C₂×D₄	—	5	8	no	—
1054	C₂×D₄	—	5	8	no	—
1055	C₂×D₄	—	5	8	no	—
1056	C₂×D₄	—	10	32	no	—
1057	C₂×D₄	—	10	32	no	—
1058	C₂×D₄	—	10	8	no	—
1059	C₂×D₄	—	10	8	no	—
1060	C₂×D₄	—	10	8	no	—
1061	C₂×D₄	—	10	8	no	—
1062	C₂×D₄	—	10	4	no	—
1063	C₂×D₄	—	10	4	no	—
1064	C₂×D₄	—	10	4	no	—
1065	C₂×D₄	—	20	4	no	—
1066	C₂×D₄	—	20	4	no	—
1067	C₂×D₄	—	20	4	no	—
1068	C₂×D₄	—	20	4	no	—
1069	C₂×D₄	—	20	4	no	—
1070	C₂×D₄	—	20	2	no	—
1071	C₂×D₄	—	20	32	no	—
1072	C₂×D₄	C₂³×D₅	1	4	yes	—
1073	C₂²×C₄	—	2	8	no	—
1074	C₂²×C₄	—	2	4	no	—
1075	C₂²×C₄	—	2	4	no	—
1076	C₂²×C₄	—	5	4	no	—
1077	C₂²×C₄	—	5	1	no	—
1078	C₂²×C₄	—	5	1	no	—
1079	C₂²×C₄	—	5	1	no	—
1080	C₂²×C₄	—	5	1	no	—
1081	C₂²×C₄	—	5	1	no	—
1082	C₂²×C₄	—	5	1	no	—
1083	C₂²×C₄	—	5	2	no	—
1084	C₂²×C₄	—	5	1	no	—
1085	C₂²×C₄	—	5	4	no	—
1086	C₂²×C₄	—	5	8	no	—
1087	C₂²×C₄	—	5	4	no	—
1088	C₂²×C₄	—	5	8	no	—
1089	C₂²×C₄	—	5	8	no	—
1090	C₂²×C₄	—	5	8	no	—
1091	C₂²×C₄	—	5	8	no	—
1092	C₂²×C₄	—	5	8	no	—
1093	C₂²×C₄	—	5	8	no	—
1094	C₂²×C₄	—	5	8	no	—
1095	C₂²×C₄	—	5	8	no	—
1096	C₂²×C₄	—	5	8	no	—
1097	C₂²×C₄	—	10	8	no	—
1098	C₂²×C₄	—	10	4	no	—
1099	C₂²×C₄	—	10	4	no	—
1100	C₂²×C₄	—	20	4	no	—
1101	C₂²×C₄	—	20	4	no	—
1102	C₂²×C₄	—	20	4	no	—
1103	C₂²×C₄	—	20	4	no	—
1104	C₂²×C₄	—	20	32	no	—
1105	C₂²×C₄	—	20	4	no	—
1106	C₂²×C₄	—	20	4	no	—
1107	C₂²×C₄	—	20	4	no	—
1108	C₂²×C₄	—	20	4	no	—
1109	C₂²×C₄	—	20	4	no	—
1110	C₂²×C₄	—	20	2	no	—
1111	C₂²×C₄	C₂³×D₅	1	4	yes	—
1112	C₂²×C₄	C₂³×D₅	1	8	yes	—
1113	C₂²×C₄	C₂³×D₅	1	4	yes	—
1114	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₅	1	2	yes	—
1116	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₅	1	2	yes	—
1119	C₂²×C₄	C₂³×D₅	1	2	yes	—
1120	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₅	1	2	yes	—
1122	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1123	C₄⋊C₄	—	5	8	no	—
1124	C₄⋊C₄	—	5	4	no	—
1125	C₄⋊C₄	—	5	4	no	—
1126	C₄⋊C₄	—	5	8	no	—
1127	C₄⋊C₄	—	5	4	no	—
1128	C₄⋊C₄	—	5	8	no	—
1129	C₄⋊C₄	—	5	8	no	—
1130	C₄⋊C₄	—	5	4	no	—
1131	C₄⋊C₄	—	5	4	no	—
1132	C₄⋊C₄	—	5	4	no	—
1133	C₄⋊C₄	—	5	4	no	—
1134	C₄⋊C₄	—	5	8	no	—
1135	C₄⋊C₄	—	5	4	no	—
1136	C₄⋊C₄	—	5	4	no	—
1137	C₄⋊C₄	—	5	4	no	—
1138	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1139	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1140	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1141	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1142	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1143	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1144	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1145	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1146	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1147	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1148	C₂²⋊C₄	—	5	4	no	—
1149	C₂²⋊C₄	—	5	4	no	—
1150	C₂²⋊C₄	—	5	4	no	—
1151	C₂²⋊C₄	—	5	4	no	—
1152	C₂²⋊C₄	—	5	8	no	—
1153	C₂²⋊C₄	—	5	8	no	—
1154	C₂²⋊C₄	—	5	8	no	—
1155	C₂²⋊C₄	—	5	8	no	—
1156	C₂²⋊C₄	—	5	8	no	—
1157	C₂²⋊C₄	—	5	8	no	—
1158	C₂²⋊C₄	—	5	8	no	—
1159	C₂²⋊C₄	—	5	8	no	—
1160	C₂²⋊C₄	—	5	8	no	—
1161	C₂²⋊C₄	—	5	8	no	—
1162	C₂²⋊C₄	—	5	8	no	—
1163	C₂²⋊C₄	—	5	8	no	—
1164	C₂²⋊C₄	—	5	4	no	—
1165	C₂²⋊C₄	—	5	4	no	—
1166	C₂²⋊C₄	—	5	8	no	—
1167	C₂²⋊C₄	—	5	4	no	—
1168	C₂²⋊C₄	—	5	8	no	—
1169	C₂²⋊C₄	—	5	8	no	—
1170	C₂²⋊C₄	—	5	8	no	—
1171	C₂²⋊C₄	—	5	4	no	—
1172	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1173	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1174	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1175	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1176	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1177	C₄²	—	5	4	no	—
1178	C₄²	—	5	4	no	—
1179	C₄²	—	5	4	no	—
1180	C₄²	—	5	4	no	—
1181	C₄²	—	5	8	no	—
1182	C₄²	—	5	4	no	—
1183	C₄²	C₂³×D₅	1	8	yes	—
1184	C₄²	C₂³×D₅	1	4	yes	—
1185	C₄²	C₂³×D₅	1	8	yes	—
1186	C₂×C₅	—	2	4	no	—
1187	C₂×C₅	—	4	2	no	—
1188	C₂×C₅	#3513	1	4	yes	complemented
1189	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1190	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1191	C₂×C₅	C₂×#585	1	1	yes	characteristic
1192	D₅	—	2	8	no	—
1193	D₅	—	4	2	no	—
1194	D₅	—	4	4	no	—
1195	D₅	—	4	4	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	5	8	no	—
1202	C₂³	—	5	4	no	—
1203	C₂³	—	5	4	no	—
1204	C₂³	—	5	4	no	—
1205	C₂³	—	5	2	no	—
1206	C₂³	—	10	16	no	—
1207	C₂³	—	10	16	no	—
1208	C₂³	—	10	4	no	—
1209	C₂³	—	10	4	no	—
1210	C₂³	—	10	2	no	—
1211	C₂³	—	10	4	no	—
1212	C₂³	—	10	4	no	—
1213	C₂³	—	10	2	no	—
1214	C₂³	—	10	16	no	—
1215	C₂³	—	10	4	no	—
1216	C₂³	—	10	4	no	—
1217	C₂³	—	10	4	no	—
1218	C₂³	—	10	2	no	—
1219	C₂³	—	10	4	no	—
1220	C₂³	—	20	8	no	—
1221	C₂³	—	20	8	no	—
1222	C₂³	—	20	8	no	—
1223	C₂³	—	20	32	no	—
1224	C₂³	—	40	16	no	—
1225	C₂³	#4149	1	4	yes	—
1226	C₂³	C₂⁴×D₅	1	2	yes	—
1227	C₂³	C₂⁴×D₅	1	2	yes	—
1228	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1229	Q₈	—	2	8	no	—
1230	Q₈	—	20	8	no	—
1231	Q₈	—	20	4	no	—
1232	D₄	—	2	8	no	—
1233	D₄	—	5	16	no	—
1234	D₄	—	10	16	no	—
1235	D₄	—	10	16	no	—
1236	D₄	—	10	16	no	—
1237	D₄	—	10	16	no	—
1238	D₄	—	10	8	no	—
1239	D₄	—	10	8	no	—
1240	D₄	—	10	8	no	—
1241	D₄	—	20	8	no	—
1242	D₄	—	20	8	no	—
1243	D₄	—	20	8	no	—
1244	D₄	—	20	8	no	—
1245	D₄	—	20	8	no	—
1246	D₄	—	20	4	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	16	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	8	no	—
1257	C₂×C₄	—	2	8	no	—
1258	C₂×C₄	—	5	2	no	—
1259	C₂×C₄	—	5	2	no	—
1260	C₂×C₄	—	5	2	no	—
1261	C₂×C₄	—	5	2	no	—
1262	C₂×C₄	—	5	2	no	—
1263	C₂×C₄	—	5	2	no	—
1264	C₂×C₄	—	5	4	no	—
1265	C₂×C₄	—	5	2	no	—
1266	C₂×C₄	—	10	16	no	—
1267	C₂×C₄	—	10	2	no	—
1268	C₂×C₄	—	10	8	no	—
1269	C₂×C₄	—	10	2	no	—
1270	C₂×C₄	—	10	2	no	—
1271	C₂×C₄	—	10	4	no	—
1272	C₂×C₄	—	10	2	no	—
1273	C₂×C₄	—	10	2	no	—
1274	C₂×C₄	—	10	2	no	—
1275	C₂×C₄	—	10	2	no	—
1276	C₂×C₄	—	10	8	no	—
1277	C₂×C₄	—	20	8	no	—
1278	C₂×C₄	—	20	8	no	—
1279	C₂×C₄	—	20	8	no	—
1280	C₂×C₄	—	20	8	no	—
1281	C₂×C₄	—	20	8	no	—
1282	C₂×C₄	—	20	8	no	—
1283	C₂×C₄	—	20	8	no	—
1284	C₂×C₄	—	20	8	no	—
1285	C₂×C₄	—	20	8	no	—
1286	C₂×C₄	—	20	4	no	—
1287	C₂×C₄	D₅×#41	1	4	yes	—
1288	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1290	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1291	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1292	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1293	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1294	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1295	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1296	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1297	C₅	C₂×#3513	1	1	yes	characteristic, complemented, Sylow
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	8	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	4	4	no	—
1305	C₂²	—	5	8	no	—
1306	C₂²	—	10	4	no	—
1307	C₂²	—	10	4	no	—
1308	C₂²	—	10	16	no	—
1309	C₂²	—	10	2	no	—
1310	C₂²	—	10	4	no	—
1311	C₂²	—	10	4	no	—
1312	C₂²	—	10	2	no	—
1313	C₂²	—	10	4	no	—
1314	C₂²	—	10	4	no	—
1315	C₂²	—	10	4	no	—
1316	C₂²	—	10	2	no	—
1317	C₂²	—	10	4	no	—
1318	C₂²	—	20	32	no	—
1319	C₂²	—	20	8	no	—
1320	C₂²	—	20	8	no	—
1321	C₂²	—	20	4	no	—
1322	C₂²	—	40	16	no	—
1323	C₂²	C₂×D₅×#41	1	2	yes	—
1324	C₂²	C₂×#4149	1	4	yes	—
1325	C₂²	C₂×#4149	1	2	yes	—
1326	C₂²	#66287	1	2	yes	—
1327	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	4	no	—
1331	C₄	—	2	4	no	—
1332	C₄	—	2	4	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	4	no	—
1335	C₄	—	2	2	no	—
1336	C₄	—	10	2	no	—
1337	C₄	—	10	2	no	—
1338	C₄	—	10	2	no	—
1339	C₄	—	10	4	no	—
1340	C₄	—	10	2	no	—
1341	C₄	—	10	2	no	—
1342	C₄	—	10	2	no	—
1343	C₄	—	10	2	no	—
1344	C₄	C₂×D₅×#41	1	4	yes	—
1345	C₂	—	2	4	no	—
1346	C₂	—	4	2	no	—
1347	C₂	—	10	8	no	—
1348	C₂	—	20	4	no	—
1349	C₂	—	20	4	no	—
1350	C₂	—	20	2	no	—
1351	C₂	#10618735	1	4	yes	direct product factor
1352	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1353	C₂	C₂²×#4149	1	1	yes	characteristic
1354	C₂	C₂×#66287	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#552	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#552	D₅
hypocenter	C₅	C₂×#3513
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#552	C₂	semidirect
2. #10618735	C₂	direct (N × H)
3. C₂×#66039	C₂	semidirect
4. C₂×#66038	C₂	semidirect
5. C₂×#66029	C₂	semidirect
6. C₂×#66032	C₂	semidirect
7. C₂×#66026	C₂	semidirect
8. C₂×#66024	C₂	semidirect
9. C₂×#65988	C₂	semidirect
10. C₂×D₅×#123	C₂	semidirect
11. C₂×#65964	C₂	semidirect
12. C₂×#65964	C₂	semidirect
13. C₂×#65977	C₂	semidirect
14. C₂×#65958	C₂	semidirect
15. C₂×#65919	C₂	semidirect
16. C₂×#65908	C₂	semidirect
17. C₂×D₄×D₂₀	C₂	semidirect
18. C₂×#65872	C₂	semidirect
19. C₂×#65864	C₂	semidirect
20. C₂×#65861	C₂	semidirect
21. C₂×#65858	C₂	semidirect
22. C₂×#65855	C₂	semidirect
23. C₂×#65841	C₂	semidirect
24. C₂²×#4039	C₂	semidirect
27. C₂²×#709	C₂²	semidirect
30. C₂³×C₄×D₅	C₂²	semidirect
31. C₅×#552	C₂²	semidirect
32. C₂×C₅×#126	C₂²	semidirect
33. C₂×C₅×#125	C₂²	semidirect
34. C₂×C₅×#125	C₂²	semidirect
36. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₄×C₅×Q₈	C₂²	semidirect
40. C₂×C₅×#117	C₂²	semidirect
41. C₂×C₅×#117	C₂²	semidirect
42. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
43. C₂×#4093	C₂²	semidirect
44. C₂×#4093	C₂²	semidirect
45. C₂×Q₈×Dic₅	C₂²	semidirect
50. C₂×#4075	C₂²	semidirect
51. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
52. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
53. C₂²×#685	C₂²	semidirect
54. C₂×#4072	C₂²	semidirect
55. C₂²×C₄×Dic₅	C₂²	semidirect
56. #66039	C₂²	semidirect
57. #66038	C₂²	semidirect
58. #66032	C₂²	semidirect
59. #66029	C₂²	semidirect
60. #66026	C₂²	semidirect
61. #66024	C₂²	semidirect
62. #65988	C₂²	semidirect
63. D₅×#123	C₂²	semidirect
64. #65977	C₂²	semidirect
65. #65964	C₂²	semidirect
66. #65964	C₂²	semidirect
67. #65958	C₂²	semidirect
68. #65919	C₂²	semidirect
69. #65908	C₂²	semidirect
70. D₄×D₂₀	C₂²	semidirect
71. #65872	C₂²	semidirect
72. #65864	C₂²	semidirect
73. #65861	C₂²	semidirect
74. #65858	C₂²	semidirect
75. #65855	C₂²	semidirect
76. C₂×#4044	C₂²	semidirect
77. C₂×#4044	C₂²	semidirect
78. C₂×#4044	C₂²	semidirect
79. C₂×#4043	C₂²	semidirect
80. C₂×#4043	C₂²	semidirect
81. C₂×#4042	C₂²	semidirect
82. C₂×#4042	C₂²	semidirect
83. C₂×#4042	C₂²	semidirect
84. #65841	C₂²	semidirect
86. C₂×#4041	C₂²	semidirect
87. C₂×#4041	C₂²	semidirect
88. C₂×#4041	C₂²	semidirect
89. C₂×#4041	C₂²	semidirect
90. C₂×#4041	C₂²	semidirect
91. C₂×#4041	C₂²	semidirect
92. C₂×#4040	C₂²	semidirect
93. C₂×#4040	C₂²	semidirect
94. C₂×#4040	C₂²	semidirect
95. C₂×#4040	C₂²	semidirect
96. C₂×#4040	C₂²	semidirect
97. C₂×#4040	C₂²	semidirect
98. C₂×#4040	C₂²	semidirect
102. C₂×#4039	C₂²	semidirect
103. C₂×#4039	C₂²	semidirect
104. C₂×#4039	C₂²	semidirect
105. C₂×#4039	C₂²	semidirect
106. C₂×#4039	C₂²	semidirect
107. C₂×#4039	C₂²	semidirect
108. C₂×#4039	C₂²	semidirect
109. C₂×#4039	C₂²	semidirect
110. C₂×#4038	C₂²	semidirect
111. C₂×D₅×C₄⋊C₄	C₂²	semidirect
112. C₂×D₅×C₄⋊C₄	C₂²	semidirect
113. C₂×D₅×C₄⋊C₄	C₂²	semidirect
114. C₂×#4036	C₂²	semidirect
115. C₂×#4035	C₂²	semidirect
116. C₂×#4034	C₂²	semidirect
117. C₂×#4032	C₂²	semidirect
118. C₂×#4032	C₂²	semidirect
119. C₂×#4031	C₂²	semidirect
120. C₂×#4031	C₂²	semidirect
121. C₂×#4030	C₂²	semidirect
122. C₂×#4029	C₂²	semidirect
123. C₂×#4029	C₂²	semidirect
126. C₂×#4028	C₂²	semidirect
127. C₂×#4028	C₂²	semidirect
128. C₂×#4027	C₂²	semidirect
129. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
130. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
131. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
132. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
133. C₂×#4025	C₂²	semidirect
134. C₂×#4024	C₂²	semidirect
135. C₂×#4022	C₂²	semidirect
136. C₂×#4021	C₂²	semidirect
139. C₂×C₄×D₂₀	C₂²	semidirect
140. C₂×C₄×D₂₀	C₂²	semidirect
141. C₂×C₄×D₂₀	C₂²	semidirect
142. C₂×C₄×D₂₀	C₂²	semidirect
143. C₂×C₄×D₂₀	C₂²	semidirect
144. C₂×#4018	C₂²	semidirect
145. C₂×#4018	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
166. C₂×#709	C₂³	semidirect
193. C₂²×C₄×D₅	C₂³	semidirect
196. C₅×#126	C₂³	semidirect
197. C₅×#125	C₂³	semidirect
198. C₅×#125	C₂³	semidirect
200. C₅×C₂²⋊Q₈	C₂³	semidirect
201. C₅×C₂²⋊Q₈	C₂³	semidirect
202. C₄×C₅×Q₈	C₂³	semidirect
204. C₅×#117	C₂³	semidirect
205. C₅×#117	C₂³	semidirect
216. C₂×C₅×C₄⋊C₄	C₂³	semidirect
229. #4093	C₂³	semidirect
230. #4093	C₂³	semidirect
231. Q₈×Dic₅	C₂³	semidirect
236. #4075	C₂³	semidirect
237. C₄×C₂²⋊D₅	C₂³	semidirect
238. C₄×C₂²⋊D₅	C₂³	semidirect
259. C₂×#685	C₂³	semidirect
260. #4072	C₂³	semidirect
282. C₂×C₄×Dic₅	C₂³	semidirect
283. #4044	C₂³	semidirect
284. #4044	C₂³	semidirect
285. #4044	C₂³	semidirect
286. #4043	C₂³	semidirect
287. #4043	C₂³	semidirect
288. #4042	C₂³	semidirect
289. #4042	C₂³	semidirect
290. #4042	C₂³	semidirect
292. #4041	C₂³	semidirect
293. #4041	C₂³	semidirect
294. #4041	C₂³	semidirect
295. #4041	C₂³	semidirect
296. #4041	C₂³	semidirect
297. #4041	C₂³	semidirect
298. #4040	C₂³	semidirect
299. #4040	C₂³	semidirect
300. #4040	C₂³	semidirect
301. #4040	C₂³	semidirect
302. #4040	C₂³	semidirect
303. #4040	C₂³	semidirect
304. #4040	C₂³	semidirect
308. #4039	C₂³	semidirect
309. #4039	C₂³	semidirect
310. #4039	C₂³	semidirect
311. #4039	C₂³	semidirect
312. #4039	C₂³	semidirect
313. #4039	C₂³	semidirect
314. #4039	C₂³	semidirect
315. #4038	C₂³	semidirect
316. D₅×C₄⋊C₄	C₂³	semidirect
317. D₅×C₄⋊C₄	C₂³	semidirect
318. D₅×C₄⋊C₄	C₂³	semidirect
319. #4036	C₂³	semidirect
320. #4035	C₂³	semidirect
321. #4034	C₂³	semidirect
322. #4032	C₂³	semidirect
323. #4032	C₂³	semidirect
324. #4031	C₂³	semidirect
325. #4031	C₂³	semidirect
326. #4030	C₂³	semidirect
327. #4029	C₂³	semidirect
328. #4029	C₂³	semidirect
331. #4028	C₂³	semidirect
332. #4028	C₂³	semidirect
333. #4027	C₂³	semidirect
334. D₅×C₂²⋊C₄	C₂³	semidirect
335. D₅×C₂²⋊C₄	C₂³	semidirect
336. D₅×C₂²⋊C₄	C₂³	semidirect
337. D₅×C₂²⋊C₄	C₂³	semidirect
338. #4025	C₂³	semidirect
339. #4024	C₂³	semidirect
340. #4022	C₂³	semidirect
341. #4021	C₂³	semidirect
344. C₄×D₂₀	C₂³	semidirect
345. C₄×D₂₀	C₂³	semidirect
346. C₄×D₂₀	C₂³	semidirect
347. C₄×D₂₀	C₂³	semidirect
348. C₄×D₂₀	C₂³	semidirect
349. #4018	C₂³	semidirect
350. #4018	C₂³	semidirect
351. C₄×Dic₁₀	C₂³	semidirect
357. C₂×#552	D₅	semidirect
443. C₂×D₂₀	#41	semidirect
554. #552	C₂×D₅	semidirect
575. C₂×#126	C₂×D₅	semidirect
578. C₂×#125	C₂×D₅	semidirect
579. C₂×#125	C₂×D₅	semidirect
607. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
608. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
628. C₂×C₄×Q₈	C₂×D₅	semidirect
654. C₂×#117	C₂×D₅	semidirect
655. C₂×#117	C₂×D₅	semidirect
659. C₂²×C₄⋊C₄	C₂×D₅	semidirect
753. D₂₀	C₂×#41	semidirect
822. #126	C₂²×D₅	semidirect
825. #125	C₂²×D₅	semidirect
826. #125	C₂²×D₅	semidirect
852. C₂²⋊Q₈	C₂²×D₅	semidirect
853. C₂²⋊Q₈	C₂²×D₅	semidirect
871. C₄×Q₈	C₂²×D₅	semidirect
896. #117	C₂²×D₅	semidirect
897. #117	C₂²×D₅	semidirect
926. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1188. C₂×C₅	#3513	semidirect
1297. C₅	C₂×#3513	semidirect
1351. C₂	#10618735	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×#552	2
#10618735	2
C₂×#66039	2
C₂×#66038	2
C₂×#66029	2
C₂×#66032	2
C₂×#66026	2
C₂×#66024	2
C₂×#65988	2
C₂×D₅×#123	2
C₂×#65964	2
C₂×#65977	2
C₂×#65958	2
C₂×#65919	2
C₂×#65908	2
C₂×D₄×D₂₀	2
C₂×#65872	2
C₂×#65864	2
C₂×#65861	2
C₂×#65858	2
C₂×#65855	2
C₂×#65841	2
C₂²×#4039	2
C₂×#3513	5

Subgroups — C2×#10618735 #13007276

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618735 #13007276