Subgroups — C₂×#10618618 #13007392

Order 1280.

8006 conjugacy classes of subgroups.

The subgroup lattice has 1376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#66163	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#66166	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×Q₈×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×#4093	C₂	1	1	yes	maximal, characteristic, complemented
6	#10618618	C₂	1	32	yes	maximal, direct product factor
7	C₂×#66012	C₂	1	2	yes	maximal, complemented
8	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66015	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66004	C₂	1	2	yes	maximal, complemented
11	C₂×#65971	C₂	1	2	yes	maximal, complemented
12	C₂×#65967	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65974	C₂	1	2	yes	maximal, complemented
14	C₂×#65958	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65944	C₂	1	2	yes	maximal, complemented
16	C₂×#65943	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65951	C₂	1	2	yes	maximal, complemented
18	C₂×#65934	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65914	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65902	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65890	C₂	1	2	yes	maximal, complemented
22	C₂×#65884	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65879	C₂	1	2	yes	maximal, complemented
24	C₂×C₄×#711	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂³×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#711	C₂²	1	1	yes	characteristic
29	C₂²×D₄×D₅	C₂²	1	2	yes	—
30	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
31	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
32	C₂³×D₂₀	C₂²	1	1	yes	characteristic
33	C₅×#548	C₂²	1	16	yes	complemented
34	C₂×C₅×#124	C₂²	1	2	yes	complemented
35	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₂×C₅×#121	C₂²	1	1	yes	characteristic
39	C₂×C₅×#121	C₂²	1	2	yes	complemented
40	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
43	#66166	C₂²	1	16	yes	complemented
44	#66163	C₂²	1	16	yes	complemented
45	Q₈×C₂²⋊D₅	C₂²	1	16	yes	complemented
46	C₂×#4093	C₂²	1	1	yes	characteristic
47	C₂×#4093	C₂²	1	1	yes	characteristic
48	C₂×#4093	C₂²	1	2	yes	complemented
49	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
50	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
51	C₂×#4093	C₂²	1	2	yes	complemented
52	C₂×#4093	C₂²	1	16	yes	complemented
53	C₂×#4092	C₂²	1	2	yes	complemented
54	C₂×#4092	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×#4086	C₂²	1	1	yes	characteristic
59	C₂×#4085	C₂²	1	2	yes	complemented
60	C₂×#4085	C₂²	1	2	yes	complemented
61	C₂×#4085	C₂²	1	2	yes	complemented
62	C₂×#4083	C₂²	1	2	yes	—
63	C₂×#4083	C₂²	1	2	yes	complemented
64	C₂×#4083	C₂²	1	2	yes	complemented
65	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
66	C₂×#4081	C₂²	1	2	yes	complemented
67	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
68	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
69	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
70	C₂×#4076	C₂²	1	1	yes	characteristic
71	C₂×#4075	C₂²	1	2	yes	complemented
72	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
73	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
74	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
75	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
76	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
77	C₂²×#685	C₂²	1	2	yes	complemented
78	C₂²×#685	C₂²	1	2	yes	complemented
79	C₂²×#685	C₂²	1	2	yes	complemented
80	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4070	C₂²	1	2	yes	complemented
82	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
83	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
84	#66015	C₂²	1	16	yes	complemented
85	#66012	C₂²	1	32	yes	complemented
86	D₅×#124	C₂²	1	16	yes	complemented
87	#66004	C₂²	1	32	yes	complemented
88	#65974	C₂²	1	32	yes	complemented
89	#65971	C₂²	1	32	yes	complemented
90	#65967	C₂²	1	16	yes	complemented
91	#65958	C₂²	1	16	yes	complemented
92	#65951	C₂²	1	32	yes	complemented
93	#65944	C₂²	1	32	yes	complemented
94	#65943	C₂²	1	16	yes	complemented
95	#65934	C₂²	1	16	yes	complemented
96	#65914	C₂²	1	16	yes	complemented
97	#65902	C₂²	1	16	yes	complemented
98	#65890	C₂²	1	32	yes	complemented
99	#65884	C₂²	1	16	yes	complemented
100	#65879	C₂²	1	32	yes	complemented
101	C₄×#711	C₂²	1	16	yes	complemented
102	C₂×#4044	C₂²	1	2	yes	complemented
103	C₂×#4044	C₂²	1	2	yes	complemented
104	C₂×#4044	C₂²	1	2	yes	complemented
105	C₂×#4042	C₂²	1	2	yes	complemented
106	C₂×#4042	C₂²	1	2	yes	complemented
107	C₂×#4041	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	1	yes	characteristic
111	C₂×#4039	C₂²	1	2	yes	complemented
112	C₂×#4038	C₂²	1	2	yes	complemented
113	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
114	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
115	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
116	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4032	C₂²	1	2	yes	complemented
118	C₂×#4032	C₂²	1	2	yes	complemented
119	C₂×#4031	C₂²	1	2	yes	complemented
120	C₂×#4031	C₂²	1	2	yes	complemented
121	C₂×#4031	C₂²	1	2	yes	complemented
122	C₂×#4031	C₂²	1	2	yes	complemented
123	C₂×#4030	C₂²	1	2	yes	—
124	C₂×#4030	C₂²	1	2	yes	complemented
125	C₂×#4030	C₂²	1	2	yes	complemented
126	C₂×#4029	C₂²	1	2	yes	complemented
127	C₂×#4028	C₂²	1	2	yes	—
128	C₂×#4027	C₂²	1	1	yes	characteristic
129	C₂×#4027	C₂²	1	2	yes	complemented
130	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4027	C₂²	1	2	yes	complemented
132	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
133	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
134	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
135	C₂×#4025	C₂²	1	2	yes	complemented
136	C₂×#4023	C₂²	1	2	yes	complemented
137	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
138	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
139	C₂×#4022	C₂²	1	2	yes	complemented
140	C₂×#4021	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
142	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
143	C₂×#4018	C₂²	1	2	yes	complemented
144	C₂×#4018	C₂²	1	2	yes	complemented
145	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3514	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂⁴×D₅	C₂³	1	2	yes	—
150	C₂×C₅×#41	—	4	4	no	—
151	C₂×C₅×#41	C₂³	1	8	yes	complemented
152	C₂²×C₅×Q₈	—	4	4	no	—
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	2	yes	—
158	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
159	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
160	C₂²×C₅×D₄	C₂³	1	2	yes	—
161	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₅	C₂³	1	2	yes	—
164	C₂³×C₄×C₅	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
167	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
172	C₂³×Dic₅	C₂³	1	1	yes	characteristic
173	C₂³×Dic₅	C₂³	1	1	yes	characteristic
174	C₂³×Dic₅	C₂³	1	2	yes	—
175	C₂³×Dic₅	C₂³	1	1	yes	characteristic
176	C₂³×Dic₅	C₂³	1	1	yes	characteristic
177	C₂×Q₈×D₅	—	4	4	no	—
178	C₂×Q₈×D₅	C₂³	1	8	yes	complemented
179	C₂×#711	—	2	8	no	—
180	C₂×#711	C₂³	1	8	yes	—
181	C₂×D₄×D₅	—	2	16	no	—
182	C₂×D₄×D₅	—	4	4	no	—
183	C₂×D₄×D₅	C₂³	1	16	yes	—
184	C₂×D₄×D₅	C₂³	1	8	yes	—
185	C₂×#709	—	4	4	no	—
186	C₂×#709	C₂³	1	8	yes	complemented
187	C₂²×D₂₀	—	4	4	no	—
188	C₂²×D₂₀	C₂³	1	2	yes	—
189	C₂²×D₂₀	C₂³	1	1	yes	characteristic
190	C₂²×D₂₀	C₂³	1	1	yes	characteristic
191	C₂²×D₂₀	C₂³	1	2	yes	—
192	C₂²×D₂₀	C₂³	1	8	yes	—
193	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₅	C₂³	1	2	yes	—
196	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₅	C₂³	1	2	yes	—
198	C₂²×C₄×D₅	C₂³	1	2	yes	—
199	C₂²×C₄×D₅	C₂³	1	2	yes	—
200	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₀	C₂³	1	2	yes	—
203	C₅×#124	C₂³	1	16	yes	complemented
204	C₅×#124	C₂³	1	8	yes	complemented
205	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
206	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
207	C₅×#121	C₂³	1	8	yes	—
208	C₅×#121	C₂³	1	16	yes	complemented
209	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
210	C₄×C₅×D₄	C₂³	1	8	yes	complemented
211	C₄×C₅×D₄	C₂³	1	16	yes	complemented
212	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
215	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
216	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
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×C₂²⋊Dic₅	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	2	yes	—
228	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
229	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
230	#4093	C₂³	1	8	yes	—
231	#4093	C₂³	1	8	yes	—
232	#4093	C₂³	1	8	yes	complemented
233	#4093	C₂³	1	8	yes	complemented
234	#4093	C₂³	1	16	yes	complemented
235	#4093	C₂³	1	16	yes	complemented
236	#4092	C₂³	1	8	yes	complemented
237	#4092	C₂³	1	16	yes	complemented
238	Q₈×Dic₅	C₂³	1	8	yes	complemented
239	#4090	C₂³	1	8	yes	complemented
240	#4090	C₂³	1	16	yes	complemented
241	#4086	C₂³	1	8	yes	—
242	#4085	C₂³	1	16	yes	complemented
243	#4085	C₂³	1	16	yes	complemented
244	#4085	C₂³	1	16	yes	complemented
245	#4083	C₂³	1	16	yes	—
246	#4083	C₂³	1	16	yes	complemented
247	#4083	C₂³	1	16	yes	complemented
248	#4082	C₂³	1	8	yes	complemented
249	#4081	C₂³	1	16	yes	complemented
250	D₄×Dic₅	C₂³	1	8	yes	complemented
251	D₄×Dic₅	C₂³	1	16	yes	complemented
252	D₄×Dic₅	C₂³	1	8	yes	complemented
253	#4076	C₂³	1	8	yes	—
254	#4075	C₂³	1	16	yes	complemented
255	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
256	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
257	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
258	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
259	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
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	2	yes	—
264	C₂×#685	C₂³	1	2	yes	—
265	C₂×#685	C₂³	1	2	yes	—
266	C₂×#685	C₂³	1	2	yes	—
267	C₂×#685	C₂³	1	2	yes	—
268	C₂×#685	C₂³	1	2	yes	—
269	C₂×#685	C₂³	1	2	yes	—
270	C₂×#685	C₂³	1	2	yes	—
271	C₂×#685	C₂³	1	2	yes	—
272	C₂×#685	C₂³	1	2	yes	—
273	C₂×#685	C₂³	1	1	yes	characteristic
274	C₂×#685	C₂³	1	1	yes	characteristic
275	C₂×#685	C₂³	1	2	yes	—
276	C₂×#685	C₂³	1	2	yes	—
277	C₂×#685	C₂³	1	16	yes	complemented
278	C₂×#685	C₂³	1	16	yes	complemented
279	C₂×#685	C₂³	1	16	yes	complemented
280	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
282	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
284	#4070	C₂³	1	8	yes	complemented
285	#4070	C₂³	1	16	yes	complemented
286	C₂×#683	C₂³	1	1	yes	characteristic
287	C₂×#683	C₂³	1	1	yes	characteristic
288	C₂×#683	C₂³	1	2	yes	—
289	C₂×#683	C₂³	1	2	yes	—
290	C₂×#683	C₂³	1	2	yes	—
291	C₂×#683	C₂³	1	2	yes	—
292	C₂×#683	C₂³	1	2	yes	—
293	C₂×#683	C₂³	1	2	yes	—
294	C₂×#683	C₂³	1	1	yes	characteristic
295	C₂×#683	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₅	C₂³	1	2	yes	—
302	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₅	C₂³	1	2	yes	—
307	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
308	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
309	#4044	C₂³	1	16	yes	complemented
310	#4044	C₂³	1	16	yes	complemented
311	#4044	C₂³	1	16	yes	complemented
312	#4042	C₂³	1	16	yes	complemented
313	#4042	C₂³	1	16	yes	complemented
314	#4041	C₂³	1	8	yes	—
315	#4040	C₂³	1	16	yes	complemented
316	#4040	C₂³	1	16	yes	complemented
317	#4039	C₂³	1	8	yes	—
318	#4039	C₂³	1	16	yes	complemented
319	#4038	C₂³	1	8	yes	complemented
320	#4038	C₂³	1	16	yes	complemented
321	#4036	C₂³	1	8	yes	complemented
322	#4033	C₂³	1	8	yes	complemented
323	#4033	C₂³	1	8	yes	complemented
324	#4032	C₂³	1	16	yes	complemented
325	#4032	C₂³	1	16	yes	complemented
326	#4031	C₂³	1	16	yes	complemented
327	#4031	C₂³	1	16	yes	complemented
328	#4031	C₂³	1	16	yes	complemented
329	#4031	C₂³	1	16	yes	complemented
330	#4030	C₂³	1	16	yes	—
331	#4030	C₂³	1	16	yes	complemented
332	#4030	C₂³	1	16	yes	complemented
333	#4029	C₂³	1	16	yes	complemented
334	#4028	C₂³	1	16	yes	—
335	#4027	C₂³	1	8	yes	—
336	#4027	C₂³	1	8	yes	complemented
337	#4027	C₂³	1	16	yes	complemented
338	#4027	C₂³	1	16	yes	complemented
339	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
340	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
341	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
342	#4025	C₂³	1	16	yes	complemented
343	#4023	C₂³	1	8	yes	complemented
344	#4023	C₂³	1	8	yes	complemented
345	#4023	C₂³	1	16	yes	complemented
346	#4022	C₂³	1	16	yes	complemented
347	#4021	C₂³	1	8	yes	—
348	C₄×D₂₀	C₂³	1	16	yes	complemented
349	C₄×D₂₀	C₂³	1	8	yes	complemented
350	#4018	C₂³	1	16	yes	complemented
351	#4018	C₂³	1	16	yes	complemented
352	C₄²×D₅	C₂³	1	8	yes	complemented
353	C₄×Dic₁₀	C₂³	1	8	yes	complemented
354	#3514	—	5	32	no	—
355	C₂×#559	—	5	1	no	—
356	C₂×#556	—	5	1	no	—
357	C₂×#555	—	5	2	no	—
358	C₂×#551	—	5	2	no	—
359	C₂×#551	—	5	2	no	—
360	C₂×D₄×Q₈	—	5	1	no	—
361	C₂×#548	—	5	1	no	—
362	C₂×#548	D₅	1	1	yes	characteristic, complemented
363	C₂×#546	—	5	1	no	—
364	C₂×#546	—	5	2	no	—
365	C₂×#546	—	5	1	no	—
366	C₂×D₄²	—	5	1	no	—
367	C₂×#542	—	5	2	no	—
368	C₂×#538	—	5	2	no	—
369	C₂×#538	—	5	2	no	—
370	C₂×#532	—	5	1	no	—
371	C₂×#529	—	5	1	no	—
372	C₂×#529	—	5	1	no	—
373	C₂×#529	—	5	1	no	—
374	C₂²×#124	—	5	1	no	—
375	C₂²×#124	—	5	1	no	—
376	C₂×#518	—	5	2	no	—
377	C₂×C₄×#41	—	5	1	no	—
378	C₂⁴×C₅	C₂⁴	1	2	yes	—
379	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
381	C₂³×D₅	—	2	8	no	—
382	C₂³×D₅	—	2	8	no	—
383	C₂³×D₅	—	4	4	no	—
384	C₂³×D₅	—	4	4	no	—
385	C₂³×D₅	—	4	4	no	—
386	C₂³×D₅	—	4	4	no	—
387	C₂³×D₅	C₂⁴	1	2	yes	—
388	C₂³×D₅	C₂⁴	1	2	yes	—
389	C₂³×D₅	C₂⁴	1	1	yes	characteristic
390	C₂³×D₅	C₂⁴	1	8	yes	—
391	C₂³×D₅	C₂⁴	1	8	yes	—
392	C₅×#41	—	4	16	no	—
393	C₂×C₅×Q₈	—	2	4	no	—
394	C₂×C₅×Q₈	—	2	4	no	—
395	C₂×C₅×Q₈	—	4	4	no	—
396	C₂×C₅×Q₈	—	4	16	no	—
397	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
398	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
399	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
400	C₂×C₅×D₄	—	2	8	no	—
401	C₂×C₅×D₄	—	2	4	no	—
402	C₂×C₅×D₄	—	2	4	no	—
403	C₂×C₅×D₄	—	4	4	no	—
404	C₂×C₅×D₄	C₂⁴	1	8	yes	—
405	C₂×C₅×D₄	C₂⁴	1	4	yes	—
406	C₂×C₅×D₄	C₂⁴	1	4	yes	—
407	C₂×C₅×D₄	C₂⁴	1	8	yes	—
408	C₂²×C₄×C₅	—	2	4	no	—
409	C₂²×C₄×C₅	—	2	4	no	—
410	C₂²×C₄×C₅	—	4	4	no	—
411	C₂²×C₄×C₅	—	4	4	no	—
412	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
415	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
417	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
420	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
421	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
422	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
423	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
424	C₂×C₂²⋊D₅	—	2	4	no	—
425	C₂×C₂²⋊D₅	—	2	8	no	—
426	C₂×C₂²⋊D₅	—	4	4	no	—
427	C₂×C₂²⋊D₅	—	4	4	no	—
428	C₂×C₂²⋊D₅	—	4	4	no	—
429	C₂×C₂²⋊D₅	—	4	4	no	—
430	C₂×C₂²⋊D₅	#41	1	8	yes	complemented
431	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
432	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
433	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
434	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
435	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
436	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
437	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
438	C₂²×Dic₅	—	2	4	no	—
439	C₂²×Dic₅	—	2	4	no	—
440	C₂²×Dic₅	—	4	2	no	—
441	C₂²×Dic₅	—	4	2	no	—
442	C₂²×Dic₅	—	4	4	no	—
443	C₂²×Dic₅	C₂⁴	1	2	yes	—
444	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₅	C₂⁴	1	2	yes	—
449	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₅	C₂⁴	1	4	yes	—
452	C₂²×Dic₅	C₂⁴	1	4	yes	—
453	C₂²×Dic₅	C₂⁴	1	8	yes	—
454	C₂²×Dic₅	C₂⁴	1	4	yes	—
455	C₂²×Dic₅	C₂⁴	1	4	yes	—
456	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
457	Q₈×D₅	—	4	16	no	—
458	#711	—	2	32	no	—
459	D₄×D₅	—	2	64	no	—
460	D₄×D₅	—	4	16	no	—
461	#709	—	4	16	no	—
462	C₂×D₂₀	—	2	8	no	—
463	C₂×D₂₀	—	2	4	no	—
464	C₂×D₂₀	—	2	4	no	—
465	C₂×D₂₀	—	4	16	no	—
466	C₂×D₂₀	—	4	4	no	—
467	C₂×D₂₀	C₂⁴	1	4	yes	—
468	C₂×D₂₀	C₂⁴	1	4	yes	—
469	C₂×D₂₀	C₂⁴	1	8	yes	—
470	C₂×D₂₀	C₂⁴	1	8	yes	—
471	C₂×C₄×D₅	—	2	4	no	—
472	C₂×C₄×D₅	—	2	4	no	—
473	C₂×C₄×D₅	—	2	8	no	—
474	C₂×C₄×D₅	—	4	2	no	—
475	C₂×C₄×D₅	—	4	4	no	—
476	C₂×C₄×D₅	—	4	4	no	—
477	C₂×C₄×D₅	—	4	4	no	—
478	C₂×C₄×D₅	C₂⁴	1	4	yes	—
479	C₂×C₄×D₅	C₂⁴	1	8	yes	—
480	C₂×C₄×D₅	C₂⁴	1	4	yes	—
481	C₂×C₄×D₅	C₂⁴	1	8	yes	—
482	C₂×C₄×D₅	C₂⁴	1	8	yes	—
483	C₂×C₄×D₅	C₂⁴	1	4	yes	—
484	C₂×C₄×D₅	C₂⁴	1	8	yes	—
485	C₂×Dic₁₀	—	2	4	no	—
486	C₂×Dic₁₀	—	2	4	no	—
487	C₂×Dic₁₀	—	4	4	no	—
488	C₂×Dic₁₀	C₂⁴	1	4	yes	—
489	C₂×Dic₁₀	C₂⁴	1	4	yes	—
490	C₂×Dic₁₀	C₂⁴	1	8	yes	—
491	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
492	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
493	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
494	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
495	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
496	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
497	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
498	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
499	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
500	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
501	C₄²×C₅	C₂⁴	1	4	yes	—
502	C₄²×C₅	C₂⁴	1	8	yes	—
503	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
504	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
505	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
506	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
507	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
508	C₂²⋊Dic₅	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	#685	C₂⁴	1	4	yes	—
524	#685	C₂⁴	1	8	yes	—
525	#685	C₂⁴	1	8	yes	—
526	C₄⋊Dic₅	C₂⁴	1	4	yes	—
527	C₄⋊Dic₅	C₂⁴	1	8	yes	—
528	C₄⋊Dic₅	C₂⁴	1	4	yes	—
529	C₄⋊Dic₅	C₂⁴	1	8	yes	—
530	#683	C₂⁴	1	4	yes	—
531	#683	C₂⁴	1	4	yes	—
532	#683	C₂⁴	1	8	yes	—
533	#683	C₂⁴	1	8	yes	—
534	#683	C₂⁴	1	8	yes	—
535	#683	C₂⁴	1	8	yes	—
536	#683	C₂⁴	1	8	yes	—
537	#683	C₂⁴	1	8	yes	—
538	#683	C₂⁴	1	4	yes	—
539	#683	C₂⁴	1	4	yes	—
540	C₄×Dic₅	C₂⁴	1	4	yes	—
541	C₄×Dic₅	C₂⁴	1	4	yes	—
542	C₄×Dic₅	C₂⁴	1	4	yes	—
543	C₄×Dic₅	C₂⁴	1	4	yes	—
544	C₄×Dic₅	C₂⁴	1	4	yes	—
545	C₄×Dic₅	C₂⁴	1	8	yes	—
546	C₄×Dic₅	C₂⁴	1	4	yes	—
547	C₄×Dic₅	C₂⁴	1	4	yes	—
548	C₄×Dic₅	C₂⁴	1	4	yes	—
549	C₄×Dic₅	C₂⁴	1	4	yes	—
550	C₄×Dic₅	C₂⁴	1	8	yes	—
551	C₂²×#41	—	5	1	no	—
552	C₂²×#41	—	5	1	no	—
553	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
554	C₂³×Q₈	—	5	1	no	—
555	C₂³×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
556	C₂³×D₄	—	5	2	no	—
557	C₂³×D₄	—	5	1	no	—
558	C₂³×D₄	—	5	1	no	—
559	#559	—	5	16	no	—
560	#556	—	5	16	no	—
561	#555	—	5	32	no	—
562	#551	—	5	32	no	—
563	#551	—	5	32	no	—
564	D₄×Q₈	—	5	16	no	—
565	#548	—	5	16	no	—
566	#548	C₂×D₅	1	16	yes	complemented
567	#546	—	5	16	no	—
568	#546	—	5	32	no	—
569	#546	—	5	16	no	—
570	D₄²	—	5	16	no	—
571	#542	—	5	32	no	—
572	#538	—	5	32	no	—
573	#538	—	5	32	no	—
574	#532	—	5	16	no	—
575	C₂×C₄⋊Q₈	—	5	1	no	—
576	C₂×C₄⋊Q₈	—	5	2	no	—
577	C₂×#127	—	5	1	no	—
578	#529	—	5	16	no	—
579	#529	—	5	16	no	—
580	#529	—	5	16	no	—
581	C₂×#126	—	5	2	no	—
582	C₂×#126	—	5	2	no	—
583	C₂×#126	—	5	2	no	—
584	C₂×#126	—	5	2	no	—
585	C₂×#126	—	5	2	no	—
586	C₂×#125	—	5	1	no	—
587	C₂×#124	—	5	1	no	—
588	C₂×#124	—	5	1	no	—
589	C₂×#124	—	5	1	no	—
590	C₂×#124	—	5	2	no	—
591	C₂×#124	—	5	1	no	—
592	C₂×#124	—	5	2	no	—
593	C₂×#124	—	5	16	no	—
594	C₂×#124	—	5	1	no	—
595	C₂×#124	—	5	16	no	—
596	C₂×#124	—	5	2	no	—
597	C₂×#124	—	5	2	no	—
598	C₂×#124	—	5	2	no	—
599	C₂×#124	—	5	2	no	—
600	C₂×#124	—	5	1	no	—
601	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
602	C₂×#124	C₂×D₅	1	2	yes	complemented
603	C₂×#123	—	5	2	no	—
604	C₂×#123	—	5	2	no	—
605	C₂×#123	—	5	2	no	—
606	C₂×#123	—	5	2	no	—
607	C₂×#123	—	5	2	no	—
608	C₂×#123	—	5	2	no	—
609	C₂×#123	—	5	2	no	—
610	C₂×C₂²⋊Q₈	—	5	1	no	—
611	C₂×C₂²⋊Q₈	—	5	2	no	—
612	C₂×C₂²⋊Q₈	—	5	1	no	—
613	C₂×C₂²⋊Q₈	—	5	2	no	—
614	C₂×C₂²⋊Q₈	—	5	2	no	—
615	C₂×C₂²⋊Q₈	—	5	2	no	—
616	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
617	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
618	C₂×#121	—	5	2	no	—
619	C₂×#121	—	5	2	no	—
620	C₂×#121	—	5	2	no	—
621	C₂×#121	—	5	1	no	—
622	C₂×#121	—	5	1	no	—
623	C₂×#121	—	5	2	no	—
624	C₂×#121	—	5	2	no	—
625	C₂×#121	—	5	2	no	—
626	C₂×#121	C₂×D₅	1	1	yes	characteristic
627	C₂×#121	C₂×D₅	1	2	yes	complemented
628	C₂×#120	—	5	2	no	—
629	C₂×#120	—	5	2	no	—
630	C₂×#120	—	5	2	no	—
631	C₂×#120	—	5	2	no	—
632	#518	—	5	32	no	—
633	C₄×#41	—	5	16	no	—
634	C₂×C₄×Q₈	—	5	1	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	C₂×D₅	1	1	yes	characteristic, complemented
639	C₂×C₄×D₄	—	5	1	no	—
640	C₂×C₄×D₄	—	5	2	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	1	no	—
648	C₂×C₄×D₄	—	5	2	no	—
649	C₂×C₄×D₄	—	5	1	no	—
650	C₂×C₄×D₄	—	5	1	no	—
651	C₂×C₄×D₄	—	5	2	no	—
652	C₂×C₄×D₄	—	5	2	no	—
653	C₂×C₄×D₄	—	5	2	no	—
654	C₂×C₄×D₄	—	5	1	no	—
655	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
656	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
657	C₂×#117	—	5	1	no	—
658	C₂×#117	—	5	2	no	—
659	C₂×#117	—	5	1	no	—
660	C₂×#117	—	5	1	no	—
661	C₂×#117	—	5	2	no	—
662	C₂×#117	—	5	2	no	—
663	C₂×#117	—	5	2	no	—
664	C₂²×C₂²⋊C₄	—	5	2	no	—
665	C₂²×C₂²⋊C₄	—	5	2	no	—
666	C₂²×C₂²⋊C₄	—	5	2	no	—
667	C₂²×C₂²⋊C₄	—	5	2	no	—
668	C₂²×C₂²⋊C₄	—	5	2	no	—
669	C₂²×C₂²⋊C₄	—	5	2	no	—
670	C₂²×C₄²	—	5	1	no	—
671	C₂²×C₄²	—	5	1	no	—
672	C₂²×C₄²	—	5	1	no	—
673	C₂³×C₅	—	2	2	no	—
674	C₂³×C₅	—	2	2	no	—
675	C₂³×C₅	—	2	2	no	—
676	C₂³×C₅	—	2	4	no	—
677	C₂³×C₅	—	2	2	no	—
678	C₂³×C₅	—	2	4	no	—
679	C₂³×C₅	—	2	2	no	—
680	C₂³×C₅	—	2	4	no	—
681	C₂³×C₅	C₂×#41	1	4	yes	—
682	C₂³×C₅	C₂⁵	1	4	yes	—
683	C₂³×C₅	C₂⁵	1	2	yes	—
684	C₂³×C₅	C₂⁵	1	2	yes	—
685	C₂³×C₅	C₂⁵	1	1	yes	characteristic
686	C₂²×D₅	—	2	2	no	—
687	C₂²×D₅	—	2	2	no	—
688	C₂²×D₅	—	2	4	no	—
689	C₂²×D₅	—	2	4	no	—
690	C₂²×D₅	—	2	4	no	—
691	C₂²×D₅	—	2	4	no	—
692	C₂²×D₅	—	2	4	no	—
693	C₂²×D₅	—	2	4	no	—
694	C₂²×D₅	—	2	16	no	—
695	C₂²×D₅	—	2	16	no	—
696	C₂²×D₅	—	4	8	no	—
697	C₂²×D₅	—	4	8	no	—
698	C₂²×D₅	—	4	8	no	—
699	C₂²×D₅	—	4	8	no	—
700	C₂²×D₅	—	8	16	no	—
701	C₂²×D₅	—	8	16	no	—
702	C₂²×D₅	C₂×#41	1	4	yes	—
703	C₂²×D₅	C₂⁵	1	4	yes	—
704	C₂²×D₅	C₂⁵	1	4	yes	—
705	C₂²×D₅	C₂⁵	1	2	yes	—
706	C₅×Q₈	—	2	8	no	—
707	C₅×Q₈	—	2	8	no	—
708	C₅×Q₈	—	4	8	no	—
709	C₅×D₄	—	2	16	no	—
710	C₅×D₄	—	2	8	no	—
711	C₅×D₄	—	2	8	no	—
712	C₅×D₄	—	4	8	no	—
713	C₂×C₄×C₅	—	2	2	no	—
714	C₂×C₄×C₅	—	2	4	no	—
715	C₂×C₄×C₅	—	2	4	no	—
716	C₂×C₄×C₅	—	2	2	no	—
717	C₂×C₄×C₅	—	2	2	no	—
718	C₂×C₄×C₅	—	2	4	no	—
719	C₂×C₄×C₅	—	2	2	no	—
720	C₂×C₄×C₅	—	2	8	no	—
721	C₂×C₄×C₅	—	2	8	no	—
722	C₂×C₄×C₅	—	4	8	no	—
723	C₂×C₄×C₅	—	4	8	no	—
724	C₂×C₄×C₅	H(5,𝔽₂)	1	4	yes	—
725	C₂×C₄×C₅	C₂⁵	1	2	yes	—
726	C₂×C₄×C₅	C₂⁵	1	2	yes	—
727	C₂×C₄×C₅	C₂⁵	1	4	yes	—
728	C₂×C₄×C₅	C₂⁵	1	2	yes	—
729	C₂×C₄×C₅	C₂⁵	1	2	yes	—
730	C₂×C₄×C₅	C₂⁵	1	4	yes	—
731	C₂×C₄×C₅	C₂⁵	1	4	yes	—
732	C₂×C₄×C₅	C₂⁵	1	2	yes	—
733	C₂²⋊D₅	—	2	8	no	—
734	C₂²⋊D₅	—	2	16	no	—
735	C₂²⋊D₅	—	4	8	no	—
736	C₂²⋊D₅	—	4	8	no	—
737	C₂²⋊D₅	—	4	8	no	—
738	C₂²⋊D₅	—	4	8	no	—
739	C₂²⋊D₅	C₂×#41	1	16	yes	complemented
740	C₂×Dic₅	—	2	2	no	—
741	C₂×Dic₅	—	2	2	no	—
742	C₂×Dic₅	—	2	8	no	—
743	C₂×Dic₅	—	2	4	no	—
744	C₂×Dic₅	—	2	2	no	—
745	C₂×Dic₅	—	2	2	no	—
746	C₂×Dic₅	—	2	4	no	—
747	C₂×Dic₅	—	2	2	no	—
748	C₂×Dic₅	—	2	2	no	—
749	C₂×Dic₅	—	2	8	no	—
750	C₂×Dic₅	—	4	4	no	—
751	C₂×Dic₅	—	4	4	no	—
752	C₂×Dic₅	—	4	8	no	—
753	C₂×Dic₅	C₂×#41	1	4	yes	—
754	C₂×Dic₅	C₂⁵	1	2	yes	—
755	C₂×Dic₅	C₂⁵	1	2	yes	—
756	C₂×Dic₅	C₂⁵	1	2	yes	—
757	C₂×Dic₅	C₂⁵	1	2	yes	—
758	C₂×Dic₅	C₂⁵	1	2	yes	—
759	C₂×Dic₅	C₂⁵	1	2	yes	—
760	C₂×Dic₅	C₂⁵	1	4	yes	—
761	C₂×Dic₅	C₂⁵	1	4	yes	—
762	C₂×Dic₅	C₂⁵	1	2	yes	—
763	D₂₀	—	2	16	no	—
764	D₂₀	—	2	8	no	—
765	D₂₀	—	2	8	no	—
766	D₂₀	—	4	8	no	—
767	C₄×D₅	—	2	8	no	—
768	C₄×D₅	—	2	8	no	—
769	C₄×D₅	—	2	16	no	—
770	C₄×D₅	—	4	4	no	—
771	C₄×D₅	—	4	8	no	—
772	C₄×D₅	—	4	8	no	—
773	C₄×D₅	—	4	8	no	—
774	Dic₁₀	—	2	8	no	—
775	Dic₁₀	—	2	8	no	—
776	Dic₁₀	—	4	8	no	—
777	C₂⁵	—	5	2	no	—
778	C₂⁵	—	5	2	no	—
779	C₂×#41	—	4	4	no	—
780	C₂×#41	—	5	8	no	—
781	C₂×#41	—	5	8	no	—
782	C₂×#41	—	10	8	no	—
783	C₂×#41	—	20	4	no	—
784	C₂×#41	C₂²×D₅	1	8	yes	complemented
785	C₂²×Q₈	—	4	4	no	—
786	C₂²×Q₈	—	5	8	no	—
787	C₂²×Q₈	—	5	1	no	—
788	C₂²×Q₈	—	5	1	no	—
789	C₂²×Q₈	—	5	2	no	—
790	C₂²×Q₈	—	20	4	no	—
791	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
792	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
793	C₂²×Q₈	C₂²×D₅	1	2	yes	—
794	C₂²×Q₈	C₂²×D₅	1	8	yes	complemented
795	C₂²×D₄	—	5	1	no	—
796	C₂²×D₄	—	5	1	no	—
797	C₂²×D₄	—	5	2	no	—
798	C₂²×D₄	—	5	2	no	—
799	C₂²×D₄	—	5	2	no	—
800	C₂²×D₄	—	5	2	no	—
801	C₂²×D₄	—	5	2	no	—
802	C₂²×D₄	—	5	16	no	—
803	C₂²×D₄	—	5	8	no	—
804	C₂²×D₄	—	5	2	no	—
805	C₂²×D₄	—	5	1	no	—
806	C₂²×D₄	—	5	1	no	—
807	C₂²×D₄	—	5	2	no	—
808	C₂²×D₄	—	5	8	no	—
809	C₂²×D₄	—	10	16	no	—
810	C₂²×D₄	—	20	4	no	—
811	C₂²×D₄	—	20	4	no	—
812	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
813	C₂²×D₄	C₂²×D₅	1	2	yes	—
814	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
815	C₂²×D₄	C₂²×D₅	1	2	yes	—
816	C₂³×C₄	—	5	1	no	—
817	C₂³×C₄	—	5	1	no	—
818	C₂³×C₄	—	5	1	no	—
819	C₂³×C₄	—	5	2	no	—
820	C₂³×C₄	—	5	1	no	—
821	C₂³×C₄	—	5	1	no	—
822	C₂³×C₄	—	5	2	no	—
823	C₂³×C₄	—	5	1	no	—
824	C₂³×C₄	—	5	1	no	—
825	C₂³×C₄	—	5	2	no	—
826	C₂³×C₄	—	5	2	no	—
827	C₂³×C₄	—	5	2	no	—
828	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
829	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
830	C₂³×C₄	C₂²×D₅	1	2	yes	—
831	C₂³×C₄	C₂²×D₅	1	2	yes	—
832	C₄⋊Q₈	—	5	8	no	—
833	C₄⋊Q₈	—	5	16	no	—
834	#127	—	5	8	no	—
835	#126	—	5	16	no	—
836	#126	—	5	16	no	—
837	#126	—	5	16	no	—
838	#126	—	5	16	no	—
839	#126	—	5	16	no	—
840	#125	—	5	8	no	—
841	#124	—	5	8	no	—
842	#124	—	5	8	no	—
843	#124	—	5	16	no	—
844	#124	—	5	8	no	—
845	#124	—	5	8	no	—
846	#124	—	5	16	no	—
847	#124	—	5	8	no	—
848	#124	—	5	16	no	—
849	#124	—	5	16	no	—
850	#124	—	5	16	no	—
851	#124	—	5	16	no	—
852	#124	—	5	8	no	—
853	#124	C₂²×D₅	1	8	yes	complemented
854	#124	C₂²×D₅	1	16	yes	complemented
855	#123	—	5	16	no	—
856	#123	—	5	16	no	—
857	#123	—	5	16	no	—
858	#123	—	5	16	no	—
859	#123	—	5	16	no	—
860	#123	—	5	16	no	—
861	#123	—	5	16	no	—
862	C₂²⋊Q₈	—	5	8	no	—
863	C₂²⋊Q₈	—	5	16	no	—
864	C₂²⋊Q₈	—	5	8	no	—
865	C₂²⋊Q₈	—	5	16	no	—
866	C₂²⋊Q₈	—	5	16	no	—
867	C₂²⋊Q₈	—	5	16	no	—
868	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
869	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
870	#121	—	5	16	no	—
871	#121	—	5	16	no	—
872	#121	—	5	16	no	—
873	#121	—	5	8	no	—
874	#121	—	5	8	no	—
875	#121	—	5	16	no	—
876	#121	—	5	16	no	—
877	#121	—	5	16	no	—
878	#121	C₂²×D₅	1	8	yes	—
879	#121	C₂²×D₅	1	16	yes	complemented
880	#120	—	5	16	no	—
881	#120	—	5	16	no	—
882	#120	—	5	16	no	—
883	#120	—	5	16	no	—
884	C₄×Q₈	—	5	8	no	—
885	C₄×Q₈	—	5	8	no	—
886	C₄×Q₈	—	5	8	no	—
887	C₄×Q₈	—	5	8	no	—
888	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
889	C₄×D₄	—	5	8	no	—
890	C₄×D₄	—	5	16	no	—
891	C₄×D₄	—	5	8	no	—
892	C₄×D₄	—	5	8	no	—
893	C₄×D₄	—	5	8	no	—
894	C₄×D₄	—	5	16	no	—
895	C₄×D₄	—	5	16	no	—
896	C₄×D₄	—	5	16	no	—
897	C₄×D₄	—	5	16	no	—
898	C₄×D₄	—	5	8	no	—
899	C₄×D₄	—	5	8	no	—
900	C₄×D₄	—	5	8	no	—
901	C₄×D₄	—	5	16	no	—
902	C₄×D₄	—	5	16	no	—
903	C₄×D₄	—	5	16	no	—
904	C₄×D₄	—	5	8	no	—
905	C₄×D₄	C₂²×D₅	1	8	yes	complemented
906	C₄×D₄	C₂²×D₅	1	16	yes	complemented
907	#117	—	5	8	no	—
908	#117	—	5	16	no	—
909	#117	—	5	8	no	—
910	#117	—	5	8	no	—
911	#117	—	5	16	no	—
912	#117	—	5	16	no	—
913	#117	—	5	16	no	—
914	C₂×C₄⋊C₄	—	5	1	no	—
915	C₂×C₄⋊C₄	—	5	2	no	—
916	C₂×C₄⋊C₄	—	5	2	no	—
917	C₂×C₄⋊C₄	—	5	2	no	—
918	C₂×C₄⋊C₄	—	5	1	no	—
919	C₂×C₄⋊C₄	—	5	1	no	—
920	C₂×C₄⋊C₄	—	5	1	no	—
921	C₂×C₄⋊C₄	—	5	1	no	—
922	C₂×C₄⋊C₄	—	5	2	no	—
923	C₂×C₄⋊C₄	—	5	2	no	—
924	C₂×C₄⋊C₄	—	5	1	no	—
925	C₂×C₄⋊C₄	—	5	2	no	—
926	C₂×C₄⋊C₄	—	5	2	no	—
927	C₂×C₄⋊C₄	—	5	2	no	—
928	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
929	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
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	1	no	—
936	C₂×C₂²⋊C₄	—	5	1	no	—
937	C₂×C₂²⋊C₄	—	5	2	no	—
938	C₂×C₂²⋊C₄	—	5	1	no	—
939	C₂×C₂²⋊C₄	—	5	2	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	2	no	—
945	C₂×C₂²⋊C₄	—	5	2	no	—
946	C₂×C₂²⋊C₄	—	5	2	no	—
947	C₂×C₂²⋊C₄	—	5	2	no	—
948	C₂×C₂²⋊C₄	—	5	16	no	—
949	C₂×C₂²⋊C₄	—	5	16	no	—
950	C₂×C₂²⋊C₄	—	5	2	no	—
951	C₂×C₂²⋊C₄	—	5	2	no	—
952	C₂×C₂²⋊C₄	—	5	2	no	—
953	C₂×C₂²⋊C₄	—	5	16	no	—
954	C₂×C₂²⋊C₄	—	5	1	no	—
955	C₂×C₂²⋊C₄	—	5	2	no	—
956	C₂×C₂²⋊C₄	—	5	2	no	—
957	C₂×C₂²⋊C₄	—	5	2	no	—
958	C₂×C₂²⋊C₄	—	5	16	no	—
959	C₂×C₂²⋊C₄	—	5	16	no	—
960	C₂×C₂²⋊C₄	—	5	16	no	—
961	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
963	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
966	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
967	C₂×C₄²	—	5	1	no	—
968	C₂×C₄²	—	5	1	no	—
969	C₂×C₄²	—	5	1	no	—
970	C₂×C₄²	—	5	2	no	—
971	C₂×C₄²	—	5	1	no	—
972	C₂×C₄²	—	5	2	no	—
973	C₂×C₄²	—	5	1	no	—
974	C₂×C₄²	—	5	1	no	—
975	C₂×C₄²	—	5	1	no	—
976	C₂×C₄²	—	5	1	no	—
977	C₂×C₄²	—	5	8	no	—
978	C₂×C₄²	—	5	8	no	—
979	C₂×C₄²	—	5	1	no	—
980	C₂×C₄²	—	5	8	no	—
981	C₂×C₄²	C₂²×D₅	1	2	yes	—
982	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
983	C₂²×C₅	—	2	2	no	—
984	C₂²×C₅	—	2	2	no	—
985	C₂²×C₅	—	2	8	no	—
986	C₂²×C₅	—	2	2	no	—
987	C₂²×C₅	—	2	4	no	—
988	C₂²×C₅	—	2	2	no	—
989	C₂²×C₅	—	2	4	no	—
990	C₂²×C₅	—	2	2	no	—
991	C₂²×C₅	—	2	4	no	—
992	C₂²×C₅	—	4	8	no	—
993	C₂²×C₅	—	4	4	no	—
994	C₂²×C₅	C₂²×#41	1	4	yes	—
995	C₂²×C₅	C₂²×#41	1	2	yes	—
996	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
997	C₂²×C₅	#585	1	2	yes	—
998	C₂²×C₅	C₂⁶	1	1	yes	characteristic
999	C₂×D₅	—	2	2	no	—
1000	C₂×D₅	—	2	2	no	—
1001	C₂×D₅	—	2	8	no	—
1002	C₂×D₅	—	2	4	no	—
1003	C₂×D₅	—	2	4	no	—
1004	C₂×D₅	—	2	4	no	—
1005	C₂×D₅	—	2	4	no	—
1006	C₂×D₅	—	2	4	no	—
1007	C₂×D₅	—	2	4	no	—
1008	C₂×D₅	—	4	8	no	—
1009	C₂×D₅	—	4	8	no	—
1010	C₂×D₅	—	8	16	no	—
1011	C₂×D₅	—	8	16	no	—
1012	C₂×D₅	C₂²×#41	1	4	yes	—
1013	C₄×C₅	—	2	2	no	—
1014	C₄×C₅	—	2	4	no	—
1015	C₄×C₅	—	2	4	no	—
1016	C₄×C₅	—	2	2	no	—
1017	C₄×C₅	—	2	2	no	—
1018	C₄×C₅	—	2	4	no	—
1019	C₄×C₅	—	2	2	no	—
1020	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1021	Dic₅	—	2	2	no	—
1022	Dic₅	—	2	2	no	—
1023	Dic₅	—	2	4	no	—
1024	Dic₅	—	2	2	no	—
1025	Dic₅	—	2	2	no	—
1026	Dic₅	—	2	4	no	—
1027	Dic₅	—	2	2	no	—
1028	Dic₅	—	2	2	no	—
1029	Dic₅	C₂²×#41	1	4	yes	—
1030	C₂⁴	—	5	1	no	—
1031	C₂⁴	—	5	2	no	—
1032	C₂⁴	—	5	2	no	—
1033	C₂⁴	—	5	8	no	—
1034	C₂⁴	—	5	8	no	—
1035	C₂⁴	—	10	8	no	—
1036	C₂⁴	—	10	8	no	—
1037	C₂⁴	—	20	4	no	—
1038	C₂⁴	—	20	4	no	—
1039	C₂⁴	—	20	4	no	—
1040	C₂⁴	—	20	4	no	—
1041	C₂⁴	C₂³×D₅	1	2	yes	—
1042	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1043	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1044	#41	—	4	16	no	—
1045	#41	—	10	32	no	—
1046	#41	—	20	16	no	—
1047	C₂×Q₈	—	2	4	no	—
1048	C₂×Q₈	—	2	4	no	—
1049	C₂×Q₈	—	4	4	no	—
1050	C₂×Q₈	—	4	16	no	—
1051	C₂×Q₈	—	5	4	no	—
1052	C₂×Q₈	—	5	4	no	—
1053	C₂×Q₈	—	5	8	no	—
1054	C₂×Q₈	—	10	4	no	—
1055	C₂×Q₈	—	10	4	no	—
1056	C₂×Q₈	—	20	4	no	—
1057	C₂×Q₈	—	20	16	no	—
1058	C₂×Q₈	C₂³×D₅	1	4	yes	—
1059	C₂×Q₈	C₂³×D₅	1	4	yes	—
1060	C₂×Q₈	C₂³×D₅	1	8	yes	—
1061	C₂×D₄	—	2	8	no	—
1062	C₂×D₄	—	2	4	no	—
1063	C₂×D₄	—	2	4	no	—
1064	C₂×D₄	—	4	4	no	—
1065	C₂×D₄	—	5	8	no	—
1066	C₂×D₄	—	5	4	no	—
1067	C₂×D₄	—	5	4	no	—
1068	C₂×D₄	—	5	8	no	—
1069	C₂×D₄	—	5	8	no	—
1070	C₂×D₄	—	5	8	no	—
1071	C₂×D₄	—	5	8	no	—
1072	C₂×D₄	—	5	8	no	—
1073	C₂×D₄	—	5	8	no	—
1074	C₂×D₄	—	5	4	no	—
1075	C₂×D₄	—	5	4	no	—
1076	C₂×D₄	—	5	8	no	—
1077	C₂×D₄	—	10	8	no	—
1078	C₂×D₄	—	10	8	no	—
1079	C₂×D₄	—	10	64	no	—
1080	C₂×D₄	—	10	4	no	—
1081	C₂×D₄	—	10	4	no	—
1082	C₂×D₄	—	10	4	no	—
1083	C₂×D₄	—	20	16	no	—
1084	C₂×D₄	—	20	4	no	—
1085	C₂×D₄	—	20	16	no	—
1086	C₂×D₄	—	20	4	no	—
1087	C₂×D₄	—	20	4	no	—
1088	C₂×D₄	—	20	4	no	—
1089	C₂×D₄	—	20	4	no	—
1090	C₂×D₄	C₂³×D₅	1	4	yes	—
1091	C₂×D₄	C₂³×D₅	1	8	yes	—
1092	C₂×D₄	C₂³×D₅	1	4	yes	—
1093	C₂×D₄	C₂³×D₅	1	8	yes	—
1094	C₂²×C₄	—	2	4	no	—
1095	C₂²×C₄	—	2	4	no	—
1096	C₂²×C₄	—	4	4	no	—
1097	C₂²×C₄	—	4	4	no	—
1098	C₂²×C₄	—	5	1	no	—
1099	C₂²×C₄	—	5	4	no	—
1100	C₂²×C₄	—	5	4	no	—
1101	C₂²×C₄	—	5	1	no	—
1102	C₂²×C₄	—	5	1	no	—
1103	C₂²×C₄	—	5	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	5	1	no	—
1107	C₂²×C₄	—	5	2	no	—
1108	C₂²×C₄	—	5	2	no	—
1109	C₂²×C₄	—	5	4	no	—
1110	C₂²×C₄	—	5	4	no	—
1111	C₂²×C₄	—	5	8	no	—
1112	C₂²×C₄	—	5	4	no	—
1113	C₂²×C₄	—	5	4	no	—
1114	C₂²×C₄	—	5	8	no	—
1115	C₂²×C₄	—	5	4	no	—
1116	C₂²×C₄	—	5	8	no	—
1117	C₂²×C₄	—	5	8	no	—
1118	C₂²×C₄	—	5	8	no	—
1119	C₂²×C₄	—	10	8	no	—
1120	C₂²×C₄	—	10	4	no	—
1121	C₂²×C₄	—	10	4	no	—
1122	C₂²×C₄	—	10	4	no	—
1123	C₂²×C₄	—	10	4	no	—
1124	C₂²×C₄	—	20	4	no	—
1125	C₂²×C₄	—	20	4	no	—
1126	C₂²×C₄	—	20	2	no	—
1127	C₂²×C₄	—	20	4	no	—
1128	C₂²×C₄	—	20	2	no	—
1129	C₂²×C₄	—	20	4	no	—
1130	C₂²×C₄	—	20	2	no	—
1131	C₂²×C₄	C₂³×D₅	1	4	yes	—
1132	C₂²×C₄	C₂³×D₅	1	4	yes	—
1133	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₅	1	2	yes	—
1138	C₂²×C₄	C₂³×D₅	1	2	yes	—
1139	C₂²×C₄	C₂³×D₅	1	2	yes	—
1140	C₂²×C₄	C₂³×D₅	1	8	yes	—
1141	C₂²×C₄	C₂³×D₅	1	8	yes	—
1142	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1143	C₄⋊C₄	—	5	4	no	—
1144	C₄⋊C₄	—	5	8	no	—
1145	C₄⋊C₄	—	5	8	no	—
1146	C₄⋊C₄	—	5	8	no	—
1147	C₄⋊C₄	—	5	4	no	—
1148	C₄⋊C₄	—	5	4	no	—
1149	C₄⋊C₄	—	5	4	no	—
1150	C₄⋊C₄	—	5	4	no	—
1151	C₄⋊C₄	—	5	8	no	—
1152	C₄⋊C₄	—	5	8	no	—
1153	C₄⋊C₄	—	5	4	no	—
1154	C₄⋊C₄	—	5	8	no	—
1155	C₄⋊C₄	—	5	8	no	—
1156	C₄⋊C₄	—	5	8	no	—
1157	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1158	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1159	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1160	C₄⋊C₄	C₂³×D₅	1	8	yes	—
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	8	no	—
1172	C₂²⋊C₄	—	5	8	no	—
1173	C₂²⋊C₄	—	5	8	no	—
1174	C₂²⋊C₄	—	5	8	no	—
1175	C₂²⋊C₄	—	5	8	no	—
1176	C₂²⋊C₄	—	5	8	no	—
1177	C₂²⋊C₄	—	5	8	no	—
1178	C₂²⋊C₄	—	5	8	no	—
1179	C₂²⋊C₄	—	5	8	no	—
1180	C₂²⋊C₄	—	5	4	no	—
1181	C₂²⋊C₄	—	5	8	no	—
1182	C₂²⋊C₄	—	5	8	no	—
1183	C₂²⋊C₄	—	5	8	no	—
1184	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1185	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1186	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1187	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1188	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1189	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1190	C₄²	—	5	4	no	—
1191	C₄²	—	5	4	no	—
1192	C₄²	—	5	4	no	—
1193	C₄²	—	5	4	no	—
1194	C₄²	—	5	4	no	—
1195	C₄²	—	5	4	no	—
1196	C₄²	—	5	4	no	—
1197	C₄²	—	5	4	no	—
1198	C₄²	—	5	4	no	—
1199	C₄²	—	5	8	no	—
1200	C₄²	—	5	8	no	—
1201	C₄²	C₂³×D₅	1	4	yes	—
1202	C₄²	C₂³×D₅	1	8	yes	—
1203	C₂×C₅	—	2	4	no	—
1204	C₂×C₅	—	4	4	no	—
1205	C₂×C₅	—	4	2	no	—
1206	C₂×C₅	#3514	1	4	yes	complemented
1207	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1208	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1209	C₂×C₅	C₂×#585	1	1	yes	characteristic
1210	D₅	—	2	4	no	—
1211	D₅	—	4	4	no	—
1212	D₅	—	4	4	no	—
1213	C₂³	—	2	2	no	—
1214	C₂³	—	2	2	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	2	no	—
1218	C₂³	—	2	4	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	4	no	—
1221	C₂³	—	5	4	no	—
1222	C₂³	—	5	2	no	—
1223	C₂³	—	5	4	no	—
1224	C₂³	—	5	4	no	—
1225	C₂³	—	10	16	no	—
1226	C₂³	—	10	2	no	—
1227	C₂³	—	10	2	no	—
1228	C₂³	—	10	4	no	—
1229	C₂³	—	10	4	no	—
1230	C₂³	—	10	4	no	—
1231	C₂³	—	10	4	no	—
1232	C₂³	—	10	4	no	—
1233	C₂³	—	10	4	no	—
1234	C₂³	—	10	16	no	—
1235	C₂³	—	20	8	no	—
1236	C₂³	—	20	8	no	—
1237	C₂³	—	20	8	no	—
1238	C₂³	—	20	8	no	—
1239	C₂³	—	40	16	no	—
1240	C₂³	—	40	16	no	—
1241	C₂³	D₅×#41	1	4	yes	—
1242	C₂³	C₂⁴×D₅	1	4	yes	—
1243	C₂³	C₂⁴×D₅	1	2	yes	—
1244	C₂³	C₂⁴×D₅	1	2	yes	—
1245	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1246	Q₈	—	2	8	no	—
1247	Q₈	—	2	8	no	—
1248	Q₈	—	4	8	no	—
1249	Q₈	—	10	8	no	—
1250	Q₈	—	10	8	no	—
1251	Q₈	—	20	8	no	—
1252	D₄	—	2	16	no	—
1253	D₄	—	2	8	no	—
1254	D₄	—	2	8	no	—
1255	D₄	—	4	8	no	—
1256	D₄	—	5	16	no	—
1257	D₄	—	10	16	no	—
1258	D₄	—	10	16	no	—
1259	D₄	—	10	8	no	—
1260	D₄	—	10	8	no	—
1261	D₄	—	10	8	no	—
1262	D₄	—	20	8	no	—
1263	D₄	—	20	8	no	—
1264	D₄	—	20	8	no	—
1265	D₄	—	20	8	no	—
1266	D₄	—	20	8	no	—
1267	C₂×C₄	—	2	2	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	4	no	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	8	no	—
1275	C₂×C₄	—	2	8	no	—
1276	C₂×C₄	—	4	8	no	—
1277	C₂×C₄	—	4	8	no	—
1278	C₂×C₄	—	5	4	no	—
1279	C₂×C₄	—	5	2	no	—
1280	C₂×C₄	—	5	2	no	—
1281	C₂×C₄	—	5	2	no	—
1282	C₂×C₄	—	5	2	no	—
1283	C₂×C₄	—	5	2	no	—
1284	C₂×C₄	—	5	2	no	—
1285	C₂×C₄	—	5	2	no	—
1286	C₂×C₄	—	5	4	no	—
1287	C₂×C₄	—	5	4	no	—
1288	C₂×C₄	—	10	16	no	—
1289	C₂×C₄	—	10	8	no	—
1290	C₂×C₄	—	10	8	no	—
1291	C₂×C₄	—	10	2	no	—
1292	C₂×C₄	—	10	4	no	—
1293	C₂×C₄	—	10	2	no	—
1294	C₂×C₄	—	10	2	no	—
1295	C₂×C₄	—	10	8	no	—
1296	C₂×C₄	—	10	2	no	—
1297	C₂×C₄	—	10	2	no	—
1298	C₂×C₄	—	10	4	no	—
1299	C₂×C₄	—	10	2	no	—
1300	C₂×C₄	—	10	8	no	—
1301	C₂×C₄	—	20	8	no	—
1302	C₂×C₄	—	20	8	no	—
1303	C₂×C₄	—	20	4	no	—
1304	C₂×C₄	—	20	8	no	—
1305	C₂×C₄	—	20	4	no	—
1306	C₂×C₄	—	20	8	no	—
1307	C₂×C₄	—	20	4	no	—
1308	C₂×C₄	#4144	1	4	yes	—
1309	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1310	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1311	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1312	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1313	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1314	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1315	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1316	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1317	C₅	C₂×#3514	1	1	yes	characteristic, complemented, Sylow
1318	C₂²	—	2	2	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	8	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	4	no	—
1327	C₂²	—	4	8	no	—
1328	C₂²	—	4	4	no	—
1329	C₂²	—	5	4	no	—
1330	C₂²	—	10	2	no	—
1331	C₂²	—	10	2	no	—
1332	C₂²	—	10	8	no	—
1333	C₂²	—	10	4	no	—
1334	C₂²	—	10	4	no	—
1335	C₂²	—	10	4	no	—
1336	C₂²	—	10	4	no	—
1337	C₂²	—	10	4	no	—
1338	C₂²	—	10	4	no	—
1339	C₂²	—	20	8	no	—
1340	C₂²	—	20	8	no	—
1341	C₂²	—	40	16	no	—
1342	C₂²	—	40	16	no	—
1343	C₂²	C₂×#4144	1	2	yes	—
1344	C₂²	C₂×D₅×#41	1	4	yes	—
1345	C₂²	C₂×D₅×#41	1	2	yes	—
1346	C₂²	#66287	1	2	yes	—
1347	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1348	C₄	—	2	2	no	—
1349	C₄	—	2	2	no	—
1350	C₄	—	2	4	no	—
1351	C₄	—	2	4	no	—
1352	C₄	—	2	4	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	5	4	no	—
1356	C₄	—	10	2	no	—
1357	C₄	—	10	4	no	—
1358	C₄	—	10	2	no	—
1359	C₄	—	10	2	no	—
1360	C₄	—	10	2	no	—
1361	C₄	—	10	2	no	—
1362	C₄	—	10	4	no	—
1363	C₄	—	10	2	no	—
1364	C₄	C₂×#4144	1	4	yes	—
1365	C₂	—	2	4	no	—
1366	C₂	—	4	4	no	—
1367	C₂	—	4	2	no	—
1368	C₂	—	10	4	no	—
1369	C₂	—	20	4	no	—
1370	C₂	—	20	4	no	—
1371	C₂	#10618618	1	4	yes	direct product factor
1372	C₂	C₂²×#4144	1	1	yes	characteristic
1373	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1374	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×#548	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#548	D₅
hypocenter	C₅	C₂×#3514
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#548

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#548	C₂	semidirect
2. C₂×#66163	C₂	semidirect
3. C₂×#66166	C₂	semidirect
4. C₂×Q₈×C₂²⋊D₅	C₂	semidirect
5. C₂²×#4093	C₂	semidirect
6. #10618618	C₂	direct (N × H)
7. C₂×#66012	C₂	semidirect
8. C₂×D₅×#124	C₂	semidirect
9. C₂×#66015	C₂	semidirect
10. C₂×#66004	C₂	semidirect
11. C₂×#65971	C₂	semidirect
12. C₂×#65967	C₂	semidirect
13. C₂×#65974	C₂	semidirect
14. C₂×#65958	C₂	semidirect
15. C₂×#65944	C₂	semidirect
16. C₂×#65943	C₂	semidirect
17. C₂×#65951	C₂	semidirect
18. C₂×#65934	C₂	semidirect
19. C₂×#65914	C₂	semidirect
20. C₂×#65902	C₂	semidirect
21. C₂×#65890	C₂	semidirect
22. C₂×#65884	C₂	semidirect
23. C₂×#65879	C₂	semidirect
24. C₂×C₄×#711	C₂	semidirect
25. C₂²×C₅×#41	C₂²	semidirect
26. C₂³×C₅×Q₈	C₂²	semidirect
27. C₂²×Q₈×D₅	C₂²	semidirect
31. C₂²×#709	C₂²	semidirect
33. C₅×#548	C₂²	semidirect
34. C₂×C₅×#124	C₂²	semidirect
35. C₂×C₅×#124	C₂²	semidirect
36. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
39. C₂×C₅×#121	C₂²	semidirect
40. C₂×C₄×C₅×Q₈	C₂²	semidirect
41. C₂×C₄×C₅×D₄	C₂²	semidirect
42. C₂×C₄×C₅×D₄	C₂²	semidirect
43. #66166	C₂²	semidirect
44. #66163	C₂²	semidirect
45. Q₈×C₂²⋊D₅	C₂²	semidirect
48. C₂×#4093	C₂²	semidirect
49. C₂×#4093	C₂²	semidirect
50. C₂×#4093	C₂²	semidirect
51. C₂×#4093	C₂²	semidirect
52. C₂×#4093	C₂²	semidirect
53. C₂×#4092	C₂²	semidirect
54. C₂×#4092	C₂²	semidirect
55. C₂×Q₈×Dic₅	C₂²	semidirect
56. C₂×#4090	C₂²	semidirect
57. C₂×#4090	C₂²	semidirect
59. C₂×#4085	C₂²	semidirect
60. C₂×#4085	C₂²	semidirect
61. C₂×#4085	C₂²	semidirect
63. C₂×#4083	C₂²	semidirect
64. C₂×#4083	C₂²	semidirect
65. C₂×#4082	C₂²	semidirect
66. C₂×#4081	C₂²	semidirect
67. C₂×D₄×Dic₅	C₂²	semidirect
68. C₂×D₄×Dic₅	C₂²	semidirect
69. C₂×D₄×Dic₅	C₂²	semidirect
71. C₂×#4075	C₂²	semidirect
74. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
75. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
76. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
77. C₂²×#685	C₂²	semidirect
78. C₂²×#685	C₂²	semidirect
79. C₂²×#685	C₂²	semidirect
80. C₂×#4070	C₂²	semidirect
81. C₂×#4070	C₂²	semidirect
82. C₂²×C₄×Dic₅	C₂²	semidirect
83. C₂²×C₄×Dic₅	C₂²	semidirect
84. #66015	C₂²	semidirect
85. #66012	C₂²	semidirect
86. D₅×#124	C₂²	semidirect
87. #66004	C₂²	semidirect
88. #65974	C₂²	semidirect
89. #65971	C₂²	semidirect
90. #65967	C₂²	semidirect
91. #65958	C₂²	semidirect
92. #65951	C₂²	semidirect
93. #65944	C₂²	semidirect
94. #65943	C₂²	semidirect
95. #65934	C₂²	semidirect
96. #65914	C₂²	semidirect
97. #65902	C₂²	semidirect
98. #65890	C₂²	semidirect
99. #65884	C₂²	semidirect
100. #65879	C₂²	semidirect
101. C₄×#711	C₂²	semidirect
102. C₂×#4044	C₂²	semidirect
103. C₂×#4044	C₂²	semidirect
104. C₂×#4044	C₂²	semidirect
105. C₂×#4042	C₂²	semidirect
106. C₂×#4042	C₂²	semidirect
108. C₂×#4040	C₂²	semidirect
109. C₂×#4040	C₂²	semidirect
111. C₂×#4039	C₂²	semidirect
112. C₂×#4038	C₂²	semidirect
113. C₂×#4038	C₂²	semidirect
114. C₂×#4036	C₂²	semidirect
115. C₂×#4033	C₂²	semidirect
116. C₂×#4033	C₂²	semidirect
117. C₂×#4032	C₂²	semidirect
118. C₂×#4032	C₂²	semidirect
119. C₂×#4031	C₂²	semidirect
120. C₂×#4031	C₂²	semidirect
121. C₂×#4031	C₂²	semidirect
122. C₂×#4031	C₂²	semidirect
124. C₂×#4030	C₂²	semidirect
125. C₂×#4030	C₂²	semidirect
126. C₂×#4029	C₂²	semidirect
129. C₂×#4027	C₂²	semidirect
130. C₂×#4027	C₂²	semidirect
131. C₂×#4027	C₂²	semidirect
132. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
133. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
134. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
135. C₂×#4025	C₂²	semidirect
136. C₂×#4023	C₂²	semidirect
137. C₂×#4023	C₂²	semidirect
138. C₂×#4023	C₂²	semidirect
139. C₂×#4022	C₂²	semidirect
141. C₂×C₄×D₂₀	C₂²	semidirect
142. C₂×C₄×D₂₀	C₂²	semidirect
143. C₂×#4018	C₂²	semidirect
144. C₂×#4018	C₂²	semidirect
145. C₂×C₄²×D₅	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
151. C₂×C₅×#41	C₂³	semidirect
156. C₂²×C₅×Q₈	C₂³	semidirect
178. C₂×Q₈×D₅	C₂³	semidirect
186. C₂×#709	C₂³	semidirect
203. C₅×#124	C₂³	semidirect
204. C₅×#124	C₂³	semidirect
205. C₅×C₂²⋊Q₈	C₂³	semidirect
206. C₅×C₂²⋊Q₈	C₂³	semidirect
208. C₅×#121	C₂³	semidirect
209. C₄×C₅×Q₈	C₂³	semidirect
210. C₄×C₅×D₄	C₂³	semidirect
211. C₄×C₅×D₄	C₂³	semidirect
232. #4093	C₂³	semidirect
233. #4093	C₂³	semidirect
234. #4093	C₂³	semidirect
235. #4093	C₂³	semidirect
236. #4092	C₂³	semidirect
237. #4092	C₂³	semidirect
238. Q₈×Dic₅	C₂³	semidirect
239. #4090	C₂³	semidirect
240. #4090	C₂³	semidirect
242. #4085	C₂³	semidirect
243. #4085	C₂³	semidirect
244. #4085	C₂³	semidirect
246. #4083	C₂³	semidirect
247. #4083	C₂³	semidirect
248. #4082	C₂³	semidirect
249. #4081	C₂³	semidirect
250. D₄×Dic₅	C₂³	semidirect
251. D₄×Dic₅	C₂³	semidirect
252. D₄×Dic₅	C₂³	semidirect
254. #4075	C₂³	semidirect
257. C₄×C₂²⋊D₅	C₂³	semidirect
258. C₄×C₂²⋊D₅	C₂³	semidirect
259. C₄×C₂²⋊D₅	C₂³	semidirect
277. C₂×#685	C₂³	semidirect
278. C₂×#685	C₂³	semidirect
279. C₂×#685	C₂³	semidirect
284. #4070	C₂³	semidirect
285. #4070	C₂³	semidirect
307. C₂×C₄×Dic₅	C₂³	semidirect
308. C₂×C₄×Dic₅	C₂³	semidirect
309. #4044	C₂³	semidirect
310. #4044	C₂³	semidirect
311. #4044	C₂³	semidirect
312. #4042	C₂³	semidirect
313. #4042	C₂³	semidirect
315. #4040	C₂³	semidirect
316. #4040	C₂³	semidirect
318. #4039	C₂³	semidirect
319. #4038	C₂³	semidirect
320. #4038	C₂³	semidirect
321. #4036	C₂³	semidirect
322. #4033	C₂³	semidirect
323. #4033	C₂³	semidirect
324. #4032	C₂³	semidirect
325. #4032	C₂³	semidirect
326. #4031	C₂³	semidirect
327. #4031	C₂³	semidirect
328. #4031	C₂³	semidirect
329. #4031	C₂³	semidirect
331. #4030	C₂³	semidirect
332. #4030	C₂³	semidirect
333. #4029	C₂³	semidirect
336. #4027	C₂³	semidirect
337. #4027	C₂³	semidirect
338. #4027	C₂³	semidirect
339. D₅×C₂²⋊C₄	C₂³	semidirect
340. D₅×C₂²⋊C₄	C₂³	semidirect
341. D₅×C₂²⋊C₄	C₂³	semidirect
342. #4025	C₂³	semidirect
343. #4023	C₂³	semidirect
344. #4023	C₂³	semidirect
345. #4023	C₂³	semidirect
346. #4022	C₂³	semidirect
348. C₄×D₂₀	C₂³	semidirect
349. C₄×D₂₀	C₂³	semidirect
350. #4018	C₂³	semidirect
351. #4018	C₂³	semidirect
352. C₄²×D₅	C₂³	semidirect
353. C₄×Dic₁₀	C₂³	semidirect
362. C₂×#548	D₅	semidirect
430. C₂×C₂²⋊D₅	#41	semidirect
553. C₂²×#41	C₂×D₅	semidirect
555. C₂³×Q₈	C₂×D₅	semidirect
566. #548	C₂×D₅	semidirect
601. C₂×#124	C₂×D₅	semidirect
602. C₂×#124	C₂×D₅	semidirect
616. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
617. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
627. C₂×#121	C₂×D₅	semidirect
638. C₂×C₄×Q₈	C₂×D₅	semidirect
655. C₂×C₄×D₄	C₂×D₅	semidirect
656. C₂×C₄×D₄	C₂×D₅	semidirect
739. C₂²⋊D₅	C₂×#41	semidirect
784. C₂×#41	C₂²×D₅	semidirect
794. C₂²×Q₈	C₂²×D₅	semidirect
853. #124	C₂²×D₅	semidirect
854. #124	C₂²×D₅	semidirect
868. C₂²⋊Q₈	C₂²×D₅	semidirect
869. C₂²⋊Q₈	C₂²×D₅	semidirect
879. #121	C₂²×D₅	semidirect
888. C₄×Q₈	C₂²×D₅	semidirect
905. C₄×D₄	C₂²×D₅	semidirect
906. C₄×D₄	C₂²×D₅	semidirect
1206. C₂×C₅	#3514	semidirect
1317. C₅	C₂×#3514	semidirect
1371. C₂	#10618618	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×#548	2
C₂×#66163	2
C₂×#66166	2
C₂×Q₈×C₂²⋊D₅	2
C₂²×#4093	2
#10618618	2
C₂×#66012	2
C₂×D₅×#124	2
C₂×#66015	2
C₂×#66004	2
C₂×#65971	2
C₂×#65967	2
C₂×#65974	2
C₂×#65958	2
C₂×#65944	2
C₂×#65943	2
C₂×#65951	2
C₂×#65934	2
C₂×#65914	2
C₂×#65902	2
C₂×#65890	2
C₂×#65884	2
C₂×#65879	2
C₂×C₄×#711	2
C₂×#3514	5

Subgroups — C2×#10618618 #13007392

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618618 #13007392