Subgroups — C₂×#10618892 #13007441

Order 1280.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618892	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66064	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66067	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66039	C₂	1	2	yes	maximal, complemented
6	C₂×#66041	C₂	1	2	yes	maximal, complemented
7	C₂×D₅×#126	C₂	1	2	yes	maximal, complemented
8	C₂×#66043	C₂	1	2	yes	maximal, complemented
9	C₂×#66013	C₂	1	2	yes	maximal, complemented
10	C₂×#66012	C₂	1	2	yes	maximal, complemented
11	C₂×#65965	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65964	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65959	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65958	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65915	C₂	1	2	yes	maximal, complemented
16	C₂×#65914	C₂	1	2	yes	maximal, complemented
17	C₂×#65902	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65908	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65884	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65872	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65864	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65863	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65855	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65856	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#713	C₂²	1	1	yes	characteristic
26	C₂²×#709	C₂²	1	1	yes	characteristic
27	C₂³×D₂₀	C₂²	1	1	yes	characteristic
28	C₅×#556	C₂²	1	16	yes	complemented
29	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₅×#126	C₂²	1	2	yes	—
31	C₂×C₅×#126	C₂²	1	2	yes	complemented
32	C₂×C₅×#124	C₂²	1	2	yes	—
33	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	complemented
37	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₅×#117	C₂²	1	1	yes	characteristic
39	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4093	C₂²	1	1	yes	characteristic
41	C₂×#4093	C₂²	1	2	yes	complemented
42	C₂×#4092	C₂²	1	2	yes	complemented
43	C₂×#4092	C₂²	1	2	yes	complemented
44	C₂×#4092	C₂²	1	2	yes	complemented
45	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
47	C₂×#4085	C₂²	1	1	yes	characteristic
48	C₂×#4083	C₂²	1	2	yes	—
49	C₂×#4081	C₂²	1	1	yes	characteristic
50	C₂×#4076	C₂²	1	1	yes	characteristic
51	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
53	C₂×#4072	C₂²	1	1	yes	characteristic
54	C₂×#4070	C₂²	1	1	yes	characteristic
55	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
56	#66067	C₂²	1	16	yes	complemented
57	#66064	C₂²	1	16	yes	complemented
58	#66043	C₂²	1	32	yes	complemented
59	#66041	C₂²	1	32	yes	complemented
60	#66039	C₂²	1	32	yes	complemented
61	D₅×#126	C₂²	1	32	yes	complemented
62	#66013	C₂²	1	32	yes	complemented
63	#66012	C₂²	1	32	yes	complemented
64	#65965	C₂²	1	16	yes	complemented
65	#65964	C₂²	1	16	yes	complemented
66	#65959	C₂²	1	16	yes	complemented
67	#65958	C₂²	1	16	yes	complemented
68	#65915	C₂²	1	32	yes	complemented
69	#65914	C₂²	1	32	yes	complemented
70	#65908	C₂²	1	16	yes	complemented
71	#65902	C₂²	1	16	yes	complemented
72	#65884	C₂²	1	16	yes	complemented
73	#65872	C₂²	1	16	yes	complemented
74	#65864	C₂²	1	16	yes	complemented
75	#65863	C₂²	1	16	yes	complemented
76	#65856	C₂²	1	16	yes	complemented
77	#65855	C₂²	1	16	yes	complemented
78	C₂×#4044	C₂²	1	2	yes	complemented
79	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
80	C₂×#4044	C₂²	1	2	yes	complemented
81	C₂×#4044	C₂²	1	2	yes	complemented
82	C₂×#4043	C₂²	1	2	yes	complemented
83	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
84	C₂×#4042	C₂²	1	2	yes	complemented
85	C₂×#4041	C₂²	1	1	yes	characteristic
86	C₂×#4041	C₂²	1	2	yes	—
87	C₂×#4040	C₂²	1	2	yes	—
88	C₂×#4040	C₂²	1	2	yes	—
89	C₂×#4040	C₂²	1	2	yes	complemented
90	C₂×#4040	C₂²	1	2	yes	complemented
91	C₂×#4039	C₂²	1	1	yes	characteristic
92	C₂×#4039	C₂²	1	1	yes	characteristic
93	C₂×#4039	C₂²	1	1	yes	characteristic
94	C₂×#4039	C₂²	1	1	yes	characteristic
95	C₂×#4039	C₂²	1	1	yes	characteristic
96	C₂×#4039	C₂²	1	2	yes	complemented
97	C₂×#4038	C₂²	1	2	yes	complemented
98	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
99	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
100	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
101	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
102	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
103	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
104	C₂×#4036	C₂²	1	2	yes	complemented
105	C₂×#4035	C₂²	1	2	yes	complemented
106	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
107	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
108	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
109	C₂×#4032	C₂²	1	2	yes	complemented
110	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
111	C₂×#4031	C₂²	1	1	yes	characteristic
112	C₂×#4030	C₂²	1	2	yes	—
113	C₂×#4030	C₂²	1	2	yes	complemented
114	C₂×#4030	C₂²	1	2	yes	complemented
115	C₂×#4029	C₂²	1	2	yes	—
116	C₂×#4029	C₂²	1	2	yes	complemented
117	C₂×#4029	C₂²	1	2	yes	complemented
118	C₂×#4028	C₂²	1	2	yes	—
119	C₂×#4027	C₂²	1	2	yes	complemented
120	C₂×#4027	C₂²	1	2	yes	complemented
121	C₂×#4027	C₂²	1	2	yes	complemented
122	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
123	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
124	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
125	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
126	C₂×#4025	C₂²	1	2	yes	—
127	C₂×#4025	C₂²	1	2	yes	—
128	C₂×#4025	C₂²	1	2	yes	—
129	C₂×#4025	C₂²	1	1	yes	characteristic
130	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4022	C₂²	1	2	yes	complemented
132	C₂×#4022	C₂²	1	2	yes	complemented
133	C₂×#4021	C₂²	1	1	yes	characteristic
134	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
135	C₂×C₄×D₂₀	C₂²	1	2	yes	—
136	C₂×C₄×D₂₀	C₂²	1	2	yes	—
137	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
138	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
139	C₂×#4018	C₂²	1	2	yes	complemented
140	C₂×#4018	C₂²	1	2	yes	complemented
141	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
142	C₂×#4018	C₂²	1	2	yes	complemented
143	C₂×#4018	C₂²	1	2	yes	complemented
144	C₂×C₄²×D₅	C₂²	1	2	yes	complemented
145	C₂×#4016	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3521	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
150	C₂²×C₅×Q₈	C₂³	1	2	yes	—
151	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
154	C₂²×C₂²⋊D₅	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	1	yes	characteristic
158	C₂³×Dic₅	C₂³	1	1	yes	characteristic
159	C₂³×Dic₅	C₂³	1	1	yes	characteristic
160	C₂×#713	—	2	8	no	—
161	C₂×#713	C₂³	1	8	yes	—
162	C₂×#709	—	2	8	no	—
163	C₂×#709	C₂³	1	8	yes	—
164	C₂²×D₂₀	—	2	8	no	—
165	C₂²×D₂₀	C₂³	1	2	yes	—
166	C₂²×D₂₀	C₂³	1	2	yes	—
167	C₂²×D₂₀	C₂³	1	1	yes	characteristic
168	C₂²×D₂₀	C₂³	1	8	yes	—
169	C₂²×D₂₀	C₂³	1	2	yes	—
170	C₂²×D₂₀	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₅	C₂³	1	2	yes	—
172	C₂²×C₄×D₅	C₂³	1	2	yes	—
173	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₅	C₂³	1	2	yes	—
175	C₂²×C₄×D₅	C₂³	1	2	yes	—
176	C₂²×C₄×D₅	C₂³	1	2	yes	—
177	C₂²×C₄×D₅	C₂³	1	2	yes	—
178	C₂²×C₄×D₅	C₂³	1	2	yes	—
179	C₂²×C₄×D₅	C₂³	1	2	yes	—
180	C₂²×C₄×D₅	C₂³	1	2	yes	—
181	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
182	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
183	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
184	C₅×#126	C₂³	1	16	yes	—
185	C₅×#126	C₂³	1	16	yes	complemented
186	C₅×#124	C₂³	1	16	yes	—
187	C₅×C₂²⋊Q₈	C₂³	1	8	yes	—
188	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
189	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
190	C₄×C₅×Q₈	C₂³	1	16	yes	complemented
191	C₄×C₅×D₄	C₂³	1	8	yes	—
192	C₅×#117	C₂³	1	8	yes	—
193	C₅×#117	C₂³	1	8	yes	complemented
194	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
201	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₅	C₂³	1	2	yes	—
210	C₂×C₄²×C₅	C₂³	1	2	yes	—
211	C₂×C₄²×C₅	C₂³	1	2	yes	—
212	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
216	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
217	#4093	C₂³	1	8	yes	—
218	#4093	C₂³	1	16	yes	complemented
219	#4092	C₂³	1	16	yes	complemented
220	#4092	C₂³	1	16	yes	complemented
221	#4092	C₂³	1	16	yes	complemented
222	Q₈×Dic₅	C₂³	1	8	yes	complemented
223	#4090	C₂³	1	8	yes	complemented
224	#4085	C₂³	1	8	yes	—
225	#4083	C₂³	1	16	yes	—
226	#4081	C₂³	1	8	yes	—
227	#4076	C₂³	1	8	yes	—
228	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
229	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
230	C₂×#685	C₂³	1	2	yes	—
231	C₂×#685	C₂³	1	1	yes	characteristic
232	C₂×#685	C₂³	1	2	yes	—
233	C₂×#685	C₂³	1	1	yes	characteristic
234	C₂×#685	C₂³	1	2	yes	—
235	C₂×#685	C₂³	1	2	yes	—
236	C₂×#685	C₂³	1	2	yes	—
237	C₂×#685	C₂³	1	2	yes	—
238	C₂×#685	C₂³	1	1	yes	characteristic
239	C₂×#685	C₂³	1	2	yes	—
240	C₂×#685	C₂³	1	2	yes	—
241	C₂×#685	C₂³	1	2	yes	—
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	2	yes	—
244	C₂×#685	C₂³	1	2	yes	—
245	C₂×#685	C₂³	1	2	yes	—
246	C₂×#685	C₂³	1	2	yes	—
247	#4072	C₂³	1	8	yes	—
248	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
250	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
251	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
256	#4070	C₂³	1	8	yes	—
257	C₂×#683	C₂³	1	1	yes	characteristic
258	C₂×#683	C₂³	1	1	yes	characteristic
259	C₂×#683	C₂³	1	1	yes	characteristic
260	C₂×#683	C₂³	1	2	yes	—
261	C₂×#683	C₂³	1	2	yes	—
262	C₂×#683	C₂³	1	2	yes	—
263	C₂×#683	C₂³	1	1	yes	characteristic
264	C₂×#683	C₂³	1	1	yes	characteristic
265	C₂×#683	C₂³	1	2	yes	—
266	C₂×#683	C₂³	1	2	yes	—
267	C₂×#683	C₂³	1	2	yes	—
268	C₂×#683	C₂³	1	1	yes	characteristic
269	C₂×#683	C₂³	1	2	yes	—
270	C₂×#683	C₂³	1	2	yes	—
271	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₅	C₂³	1	2	yes	—
275	C₂×C₄×Dic₅	C₂³	1	2	yes	—
276	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅	C₂³	1	2	yes	—
278	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
280	#4044	C₂³	1	16	yes	complemented
281	#4044	C₂³	1	8	yes	complemented
282	#4044	C₂³	1	16	yes	complemented
283	#4044	C₂³	1	16	yes	complemented
284	#4043	C₂³	1	16	yes	complemented
285	#4043	C₂³	1	8	yes	complemented
286	#4042	C₂³	1	16	yes	complemented
287	#4041	C₂³	1	8	yes	—
288	#4041	C₂³	1	16	yes	—
289	#4040	C₂³	1	16	yes	—
290	#4040	C₂³	1	16	yes	—
291	#4040	C₂³	1	16	yes	complemented
292	#4040	C₂³	1	16	yes	complemented
293	#4039	C₂³	1	8	yes	—
294	#4039	C₂³	1	8	yes	—
295	#4039	C₂³	1	8	yes	—
296	#4039	C₂³	1	8	yes	—
297	#4039	C₂³	1	8	yes	—
298	#4039	C₂³	1	16	yes	complemented
299	#4038	C₂³	1	16	yes	complemented
300	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
301	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
302	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
303	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
304	#4036	C₂³	1	8	yes	complemented
305	#4036	C₂³	1	8	yes	complemented
306	#4036	C₂³	1	16	yes	complemented
307	#4035	C₂³	1	8	yes	complemented
308	#4035	C₂³	1	16	yes	complemented
309	#4033	C₂³	1	8	yes	complemented
310	#4033	C₂³	1	8	yes	complemented
311	#4032	C₂³	1	8	yes	complemented
312	#4032	C₂³	1	16	yes	complemented
313	#4031	C₂³	1	8	yes	—
314	#4030	C₂³	1	16	yes	—
315	#4030	C₂³	1	16	yes	complemented
316	#4030	C₂³	1	16	yes	complemented
317	#4029	C₂³	1	16	yes	—
318	#4029	C₂³	1	16	yes	complemented
319	#4029	C₂³	1	16	yes	complemented
320	#4028	C₂³	1	16	yes	—
321	#4027	C₂³	1	16	yes	complemented
322	#4027	C₂³	1	16	yes	complemented
323	#4027	C₂³	1	16	yes	complemented
324	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
325	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
326	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
327	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
328	#4025	C₂³	1	16	yes	—
329	#4025	C₂³	1	8	yes	—
330	#4025	C₂³	1	16	yes	—
331	#4025	C₂³	1	16	yes	—
332	#4024	C₂³	1	8	yes	complemented
333	#4022	C₂³	1	16	yes	complemented
334	#4022	C₂³	1	16	yes	complemented
335	#4021	C₂³	1	8	yes	—
336	C₄×D₂₀	C₂³	1	8	yes	—
337	C₄×D₂₀	C₂³	1	16	yes	—
338	C₄×D₂₀	C₂³	1	16	yes	—
339	C₄×D₂₀	C₂³	1	16	yes	complemented
340	C₄×D₂₀	C₂³	1	16	yes	complemented
341	#4018	C₂³	1	8	yes	complemented
342	#4018	C₂³	1	16	yes	complemented
343	#4018	C₂³	1	16	yes	complemented
344	#4018	C₂³	1	16	yes	complemented
345	#4018	C₂³	1	16	yes	complemented
346	C₄²×D₅	C₂³	1	16	yes	complemented
347	#4016	C₂³	1	16	yes	complemented
348	C₄×Dic₁₀	C₂³	1	8	yes	complemented
349	#3521	—	5	32	no	—
350	C₂×#556	—	5	1	no	—
351	C₂×#556	D₅	1	1	yes	characteristic, complemented
352	C₂×#554	—	5	1	no	—
353	C₂×#553	—	5	2	no	—
354	C₂×#553	—	5	1	no	—
355	C₂×#552	—	5	2	no	—
356	C₂×#552	—	5	1	no	—
357	C₂×#551	—	5	2	no	—
358	C₂×#551	—	5	2	no	—
359	C₂×#547	—	5	1	no	—
360	C₂×#546	—	5	1	no	—
361	C₂×#546	—	5	1	no	—
362	C₂×#542	—	5	1	no	—
363	C₂×#541	—	5	1	no	—
364	C₂×#539	—	5	2	no	—
365	C₂×#538	—	5	2	no	—
366	C₂×#529	—	5	1	no	—
367	C₂×#529	—	5	2	no	—
368	C₂×#529	—	5	1	no	—
369	C₂²×#126	—	5	2	no	—
370	C₂×#520	—	5	1	no	—
371	C₂×#518	—	5	1	no	—
372	C₂×C₄×#41	—	5	1	no	—
373	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
375	C₂³×D₅	—	2	8	no	—
376	C₂³×D₅	—	4	4	no	—
377	C₂³×D₅	—	4	4	no	—
378	C₂³×D₅	C₂⁴	1	1	yes	characteristic
379	C₂³×D₅	C₂⁴	1	2	yes	—
380	C₂³×D₅	C₂⁴	1	2	yes	—
381	C₂³×D₅	C₂⁴	1	8	yes	—
382	C₂×C₅×Q₈	—	2	4	no	—
383	C₂×C₅×Q₈	—	4	4	no	—
384	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
385	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
386	C₂×C₅×D₄	—	4	2	no	—
387	C₂×C₅×D₄	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₅	—	2	4	no	—
389	C₂²×C₄×C₅	—	2	4	no	—
390	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
398	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
399	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
400	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂×C₂²⋊D₅	—	2	8	no	—
402	C₂×C₂²⋊D₅	—	4	2	no	—
403	C₂×C₂²⋊D₅	—	4	4	no	—
404	C₂×C₂²⋊D₅	—	4	2	no	—
405	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
408	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
409	C₂²×Dic₅	—	4	2	no	—
410	C₂²×Dic₅	—	4	2	no	—
411	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₅	C₂⁴	1	2	yes	—
414	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₅	C₂⁴	1	2	yes	—
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	4	yes	—
421	C₂²×Dic₅	C₂⁴	1	4	yes	—
422	#713	—	2	32	no	—
423	#709	—	2	32	no	—
424	C₂×D₂₀	—	2	8	no	—
425	C₂×D₂₀	—	2	8	no	—
426	C₂×D₂₀	—	2	4	no	—
427	C₂×D₂₀	—	2	32	no	—
428	C₂×D₂₀	—	4	4	no	—
429	C₂×D₂₀	#41	1	8	yes	—
430	C₂×D₂₀	C₂⁴	1	8	yes	—
431	C₂×D₂₀	C₂⁴	1	4	yes	—
432	C₂×D₂₀	C₂⁴	1	8	yes	—
433	C₂×D₂₀	C₂⁴	1	8	yes	—
434	C₂×D₂₀	C₂⁴	1	4	yes	—
435	C₂×C₄×D₅	—	2	8	no	—
436	C₂×C₄×D₅	—	2	8	no	—
437	C₂×C₄×D₅	—	2	4	no	—
438	C₂×C₄×D₅	—	4	4	no	—
439	C₂×C₄×D₅	—	4	4	no	—
440	C₂×C₄×D₅	—	4	4	no	—
441	C₂×C₄×D₅	—	4	4	no	—
442	C₂×C₄×D₅	—	4	4	no	—
443	C₂×C₄×D₅	—	4	4	no	—
444	C₂×C₄×D₅	—	4	4	no	—
445	C₂×C₄×D₅	C₂⁴	1	8	yes	—
446	C₂×C₄×D₅	C₂⁴	1	8	yes	—
447	C₂×C₄×D₅	C₂⁴	1	4	yes	—
448	C₂×C₄×D₅	C₂⁴	1	8	yes	—
449	C₂×C₄×D₅	C₂⁴	1	8	yes	—
450	C₂×C₄×D₅	C₂⁴	1	8	yes	—
451	C₂×C₄×D₅	C₂⁴	1	8	yes	—
452	C₂×C₄×D₅	C₂⁴	1	8	yes	—
453	C₂×C₄×D₅	C₂⁴	1	8	yes	—
454	C₂×C₄×D₅	C₂⁴	1	8	yes	—
455	C₂×Dic₁₀	—	2	4	no	—
456	C₂×Dic₁₀	—	4	2	no	—
457	C₂×Dic₁₀	C₂⁴	1	4	yes	—
458	C₂×Dic₁₀	C₂⁴	1	4	yes	—
459	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
461	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
464	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
466	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
467	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
468	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
470	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
471	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
472	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
473	C₄²×C₅	C₂⁴	1	8	yes	—
474	C₄²×C₅	C₂⁴	1	8	yes	—
475	C₄²×C₅	C₂⁴	1	4	yes	—
476	C₄²×C₅	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
478	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
479	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
480	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
482	#685	C₂⁴	1	8	yes	—
483	#685	C₂⁴	1	4	yes	—
484	#685	C₂⁴	1	8	yes	—
485	#685	C₂⁴	1	4	yes	—
486	#685	C₂⁴	1	8	yes	—
487	#685	C₂⁴	1	8	yes	—
488	#685	C₂⁴	1	8	yes	—
489	#685	C₂⁴	1	8	yes	—
490	#685	C₂⁴	1	4	yes	—
491	#685	C₂⁴	1	8	yes	—
492	#685	C₂⁴	1	8	yes	—
493	#685	C₂⁴	1	8	yes	—
494	#685	C₂⁴	1	4	yes	—
495	#685	C₂⁴	1	8	yes	—
496	#685	C₂⁴	1	8	yes	—
497	#685	C₂⁴	1	8	yes	—
498	#685	C₂⁴	1	8	yes	—
499	C₄⋊Dic₅	C₂⁴	1	4	yes	—
500	C₄⋊Dic₅	C₂⁴	1	8	yes	—
501	C₄⋊Dic₅	C₂⁴	1	8	yes	—
502	C₄⋊Dic₅	C₂⁴	1	4	yes	—
503	C₄⋊Dic₅	C₂⁴	1	4	yes	—
504	C₄⋊Dic₅	C₂⁴	1	4	yes	—
505	C₄⋊Dic₅	C₂⁴	1	8	yes	—
506	C₄⋊Dic₅	C₂⁴	1	8	yes	—
507	#683	C₂⁴	1	4	yes	—
508	#683	C₂⁴	1	4	yes	—
509	#683	C₂⁴	1	4	yes	—
510	#683	C₂⁴	1	8	yes	—
511	#683	C₂⁴	1	8	yes	—
512	#683	C₂⁴	1	8	yes	—
513	#683	C₂⁴	1	4	yes	—
514	#683	C₂⁴	1	4	yes	—
515	#683	C₂⁴	1	8	yes	—
516	#683	C₂⁴	1	8	yes	—
517	#683	C₂⁴	1	8	yes	—
518	#683	C₂⁴	1	4	yes	—
519	#683	C₂⁴	1	8	yes	—
520	#683	C₂⁴	1	8	yes	—
521	C₄×Dic₅	C₂⁴	1	4	yes	—
522	C₄×Dic₅	C₂⁴	1	4	yes	—
523	C₄×Dic₅	C₂⁴	1	4	yes	—
524	C₄×Dic₅	C₂⁴	1	8	yes	—
525	C₄×Dic₅	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	C₂²×#41	—	5	1	no	—
530	C₂²×#41	—	5	1	no	—
531	C₂³×D₄	—	5	1	no	—
532	#556	—	5	16	no	—
533	#556	C₂×D₅	1	16	yes	complemented
534	#554	—	5	16	no	—
535	#553	—	5	32	no	—
536	#553	—	5	16	no	—
537	#552	—	5	32	no	—
538	#552	—	5	16	no	—
539	#551	—	5	32	no	—
540	#551	—	5	32	no	—
541	#547	—	5	16	no	—
542	#546	—	5	16	no	—
543	#546	—	5	16	no	—
544	#542	—	5	16	no	—
545	#541	—	5	16	no	—
546	#539	—	5	32	no	—
547	#538	—	5	32	no	—
548	C₂×C₄⋊Q₈	—	5	1	no	—
549	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
550	#529	—	5	16	no	—
551	#529	—	5	32	no	—
552	#529	—	5	16	no	—
553	C₂×#126	—	5	32	no	—
554	C₂×#126	—	5	2	no	—
555	C₂×#126	—	5	2	no	—
556	C₂×#126	—	5	2	no	—
557	C₂×#126	—	5	1	no	—
558	C₂×#126	—	5	1	no	—
559	C₂×#126	—	5	2	no	—
560	C₂×#126	—	5	2	no	—
561	C₂×#126	—	5	2	no	—
562	C₂×#126	—	5	2	no	—
563	C₂×#126	—	5	2	no	—
564	C₂×#126	C₂×D₅	1	2	yes	—
565	C₂×#126	C₂×D₅	1	2	yes	complemented
566	C₂×#125	—	5	1	no	—
567	C₂×#125	—	5	2	no	—
568	C₂×#125	—	5	2	no	—
569	C₂×#125	—	5	1	no	—
570	C₂×#125	—	5	1	no	—
571	C₂×#125	—	5	2	no	—
572	C₂×#124	—	5	1	no	—
573	C₂×#124	—	5	2	no	—
574	C₂×#124	—	5	1	no	—
575	C₂×#124	—	5	1	no	—
576	C₂×#124	C₂×D₅	1	2	yes	—
577	C₂×#123	—	5	1	no	—
578	C₂×#123	—	5	2	no	—
579	C₂×#123	—	5	2	no	—
580	C₂×#123	—	5	2	no	—
581	C₂×#123	—	5	2	no	—
582	C₂×#123	—	5	2	no	—
583	C₂×#123	—	5	2	no	—
584	C₂×#123	—	5	2	no	—
585	C₂×#123	—	5	2	no	—
586	C₂×#123	—	5	1	no	—
587	C₂×C₂²⋊Q₈	—	5	2	no	—
588	C₂×C₂²⋊Q₈	—	5	2	no	—
589	C₂×C₂²⋊Q₈	—	5	2	no	—
590	C₂×C₂²⋊Q₈	—	5	1	no	—
591	C₂×C₂²⋊Q₈	—	5	2	no	—
592	C₂×C₂²⋊Q₈	—	5	2	no	—
593	C₂×C₂²⋊Q₈	—	5	1	no	—
594	C₂×C₂²⋊Q₈	—	5	1	no	—
595	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
596	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
597	C₂×#121	—	5	1	no	—
598	C₂×#121	—	5	1	no	—
599	C₂×#121	—	5	2	no	—
600	C₂×#121	—	5	1	no	—
601	C₂×#121	—	5	2	no	—
602	C₂×#121	—	5	2	no	—
603	C₂×#121	—	5	2	no	—
604	C₂×#120	—	5	2	no	—
605	C₂×#120	—	5	2	no	—
606	#520	—	5	16	no	—
607	#518	—	5	16	no	—
608	C₄×#41	—	5	16	no	—
609	C₂×C₄×Q₈	—	5	1	no	—
610	C₂×C₄×Q₈	—	5	1	no	—
611	C₂×C₄×Q₈	—	5	1	no	—
612	C₂×C₄×Q₈	—	5	1	no	—
613	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
614	C₂×C₄×Q₈	C₂×D₅	1	2	yes	complemented
615	C₂×C₄×D₄	—	5	1	no	—
616	C₂×C₄×D₄	—	5	1	no	—
617	C₂×C₄×D₄	—	5	1	no	—
618	C₂×C₄×D₄	—	5	1	no	—
619	C₂×C₄×D₄	—	5	1	no	—
620	C₂×C₄×D₄	—	5	1	no	—
621	C₂×C₄×D₄	—	5	1	no	—
622	C₂×C₄×D₄	—	5	2	no	—
623	C₂×C₄×D₄	—	5	2	no	—
624	C₂×C₄×D₄	—	5	2	no	—
625	C₂×C₄×D₄	—	5	2	no	—
626	C₂×C₄×D₄	—	5	2	no	—
627	C₂×C₄×D₄	—	5	2	no	—
628	C₂×C₄×D₄	—	5	1	no	—
629	C₂×C₄×D₄	—	5	2	no	—
630	C₂×C₄×D₄	—	5	2	no	—
631	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
632	C₂×#117	—	5	1	no	—
633	C₂×#117	—	5	2	no	—
634	C₂×#117	—	5	2	no	—
635	C₂×#117	—	5	1	no	—
636	C₂×#117	—	5	2	no	—
637	C₂×#117	—	5	2	no	—
638	C₂×#117	—	5	2	no	—
639	C₂×#117	C₂×D₅	1	1	yes	characteristic
640	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
641	C₂²×C₄⋊C₄	—	5	2	no	—
642	C₂²×C₄⋊C₄	—	5	1	no	—
643	C₂²×C₄⋊C₄	—	5	2	no	—
644	C₂²×C₄⋊C₄	—	5	2	no	—
645	C₂²×C₂²⋊C₄	—	5	2	no	—
646	C₂²×C₂²⋊C₄	—	5	2	no	—
647	C₂²×C₂²⋊C₄	—	5	2	no	—
648	C₂²×C₂²⋊C₄	—	5	2	no	—
649	C₂²×C₄²	—	5	1	no	—
650	C₂²×C₄²	—	5	2	no	—
651	C₂³×C₅	—	2	2	no	—
652	C₂³×C₅	—	2	2	no	—
653	C₂³×C₅	—	2	2	no	—
654	C₂³×C₅	—	2	2	no	—
655	C₂³×C₅	—	2	2	no	—
656	C₂³×C₅	—	2	2	no	—
657	C₂³×C₅	C₂⁵	1	2	yes	—
658	C₂³×C₅	C₂⁵	1	2	yes	—
659	C₂³×C₅	C₂⁵	1	1	yes	characteristic
660	C₂²×D₅	—	2	4	no	—
661	C₂²×D₅	—	2	4	no	—
662	C₂²×D₅	—	2	2	no	—
663	C₂²×D₅	—	2	4	no	—
664	C₂²×D₅	—	2	2	no	—
665	C₂²×D₅	—	2	4	no	—
666	C₂²×D₅	—	2	4	no	—
667	C₂²×D₅	—	2	2	no	—
668	C₂²×D₅	—	2	16	no	—
669	C₂²×D₅	—	4	8	no	—
670	C₂²×D₅	—	4	8	no	—
671	C₂²×D₅	—	8	16	no	—
672	C₂²×D₅	C₂×#41	1	8	yes	—
673	C₂²×D₅	C₂⁵	1	4	yes	—
674	C₂²×D₅	C₂⁵	1	2	yes	—
675	C₂²×D₅	C₂⁵	1	4	yes	—
676	C₅×Q₈	—	2	8	no	—
677	C₅×Q₈	—	4	8	no	—
678	C₅×D₄	—	4	4	no	—
679	C₂×C₄×C₅	—	2	2	no	—
680	C₂×C₄×C₅	—	2	4	no	—
681	C₂×C₄×C₅	—	2	2	no	—
682	C₂×C₄×C₅	—	2	2	no	—
683	C₂×C₄×C₅	—	2	4	no	—
684	C₂×C₄×C₅	—	2	4	no	—
685	C₂×C₄×C₅	—	2	4	no	—
686	C₂×C₄×C₅	—	2	2	no	—
687	C₂×C₄×C₅	—	2	8	no	—
688	C₂×C₄×C₅	—	2	8	no	—
689	C₂×C₄×C₅	C₂×#41	1	4	yes	—
690	C₂×C₄×C₅	C₂⁵	1	2	yes	—
691	C₂×C₄×C₅	C₂⁵	1	4	yes	—
692	C₂×C₄×C₅	C₂⁵	1	4	yes	—
693	C₂×C₄×C₅	C₂⁵	1	4	yes	—
694	C₂×C₄×C₅	C₂⁵	1	2	yes	—
695	C₂×C₄×C₅	C₂⁵	1	2	yes	—
696	C₂×C₄×C₅	C₂⁵	1	4	yes	—
697	C₂×C₄×C₅	C₂⁵	1	2	yes	—
698	C₂×C₄×C₅	C₂⁵	1	2	yes	—
699	C₂²⋊D₅	—	2	16	no	—
700	C₂²⋊D₅	—	4	4	no	—
701	C₂²⋊D₅	—	4	8	no	—
702	C₂²⋊D₅	—	4	4	no	—
703	C₂×Dic₅	—	2	4	no	—
704	C₂×Dic₅	—	2	2	no	—
705	C₂×Dic₅	—	2	2	no	—
706	C₂×Dic₅	—	2	2	no	—
707	C₂×Dic₅	—	2	2	no	—
708	C₂×Dic₅	—	2	2	no	—
709	C₂×Dic₅	—	2	2	no	—
710	C₂×Dic₅	—	2	2	no	—
711	C₂×Dic₅	—	2	4	no	—
712	C₂×Dic₅	—	4	4	no	—
713	C₂×Dic₅	—	4	4	no	—
714	C₂×Dic₅	C₂⁵	1	2	yes	—
715	C₂×Dic₅	C₂⁵	1	2	yes	—
716	C₂×Dic₅	C₂⁵	1	2	yes	—
717	C₂×Dic₅	C₂⁵	1	4	yes	—
718	C₂×Dic₅	C₂⁵	1	2	yes	—
719	C₂×Dic₅	C₂⁵	1	2	yes	—
720	C₂×Dic₅	C₂⁵	1	4	yes	—
721	C₂×Dic₅	C₂⁵	1	2	yes	—
722	C₂×Dic₅	C₂⁵	1	2	yes	—
723	D₂₀	—	2	16	no	—
724	D₂₀	—	2	16	no	—
725	D₂₀	—	2	8	no	—
726	D₂₀	—	4	8	no	—
727	D₂₀	C₂×#41	1	16	yes	—
728	C₄×D₅	—	2	16	no	—
729	C₄×D₅	—	2	16	no	—
730	C₄×D₅	—	2	8	no	—
731	C₄×D₅	—	4	8	no	—
732	C₄×D₅	—	4	8	no	—
733	C₄×D₅	—	4	8	no	—
734	C₄×D₅	—	4	8	no	—
735	C₄×D₅	—	4	8	no	—
736	C₄×D₅	—	4	8	no	—
737	C₄×D₅	—	4	8	no	—
738	Dic₁₀	—	2	8	no	—
739	Dic₁₀	—	4	4	no	—
740	C₂⁵	—	5	2	no	—
741	C₂×#41	—	5	8	no	—
742	C₂×#41	—	5	8	no	—
743	C₂×#41	—	10	8	no	—
744	C₂×#41	—	10	8	no	—
745	C₂²×Q₈	—	5	1	no	—
746	C₂²×Q₈	—	5	1	no	—
747	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
748	C₂²×Q₈	C₂²×D₅	1	2	yes	—
749	C₂²×D₄	—	5	2	no	—
750	C₂²×D₄	—	5	1	no	—
751	C₂²×D₄	—	5	2	no	—
752	C₂²×D₄	—	5	1	no	—
753	C₂²×D₄	—	5	1	no	—
754	C₂²×D₄	—	5	2	no	—
755	C₂²×D₄	—	5	2	no	—
756	C₂²×D₄	—	5	1	no	—
757	C₂²×D₄	—	5	8	no	—
758	C₂²×D₄	—	5	2	no	—
759	C₂²×D₄	—	10	8	no	—
760	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
761	C₂³×C₄	—	5	1	no	—
762	C₂³×C₄	—	5	1	no	—
763	C₂³×C₄	—	5	2	no	—
764	C₂³×C₄	—	5	2	no	—
765	C₂³×C₄	—	5	1	no	—
766	C₂³×C₄	—	5	2	no	—
767	C₂³×C₄	—	5	2	no	—
768	C₂³×C₄	—	5	2	no	—
769	C₂³×C₄	—	5	2	no	—
770	C₂³×C₄	—	5	2	no	—
771	C₂³×C₄	—	5	2	no	—
772	C₂³×C₄	—	5	2	no	—
773	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
774	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
775	C₄⋊Q₈	—	5	8	no	—
776	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
777	#126	—	5	16	no	—
778	#126	—	5	16	no	—
779	#126	—	5	16	no	—
780	#126	—	5	8	no	—
781	#126	—	5	8	no	—
782	#126	—	5	16	no	—
783	#126	—	5	16	no	—
784	#126	—	5	16	no	—
785	#126	—	5	16	no	—
786	#126	—	5	16	no	—
787	#126	C₂²×D₅	1	16	yes	—
788	#126	C₂²×D₅	1	16	yes	complemented
789	#125	—	5	16	no	—
790	#125	—	5	8	no	—
791	#125	—	5	8	no	—
792	#125	—	5	16	no	—
793	#125	—	5	8	no	—
794	#125	—	5	16	no	—
795	#124	—	5	16	no	—
796	#124	—	5	8	no	—
797	#124	—	5	8	no	—
798	#124	—	5	8	no	—
799	#124	C₂²×D₅	1	16	yes	—
800	#123	—	5	8	no	—
801	#123	—	5	16	no	—
802	#123	—	5	16	no	—
803	#123	—	5	16	no	—
804	#123	—	5	16	no	—
805	#123	—	5	16	no	—
806	#123	—	5	8	no	—
807	#123	—	5	16	no	—
808	#123	—	5	16	no	—
809	#123	—	5	16	no	—
810	C₂²⋊Q₈	—	5	16	no	—
811	C₂²⋊Q₈	—	5	16	no	—
812	C₂²⋊Q₈	—	5	16	no	—
813	C₂²⋊Q₈	—	5	8	no	—
814	C₂²⋊Q₈	—	5	16	no	—
815	C₂²⋊Q₈	—	5	16	no	—
816	C₂²⋊Q₈	—	5	8	no	—
817	C₂²⋊Q₈	—	5	8	no	—
818	C₂²⋊Q₈	C₂²×D₅	1	8	yes	—
819	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
820	#121	—	5	8	no	—
821	#121	—	5	8	no	—
822	#121	—	5	16	no	—
823	#121	—	5	8	no	—
824	#121	—	5	16	no	—
825	#121	—	5	16	no	—
826	#121	—	5	16	no	—
827	#120	—	5	16	no	—
828	#120	—	5	16	no	—
829	C₄×Q₈	—	5	8	no	—
830	C₄×Q₈	—	5	8	no	—
831	C₄×Q₈	—	5	8	no	—
832	C₄×Q₈	—	5	8	no	—
833	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
834	C₄×Q₈	C₂²×D₅	1	16	yes	complemented
835	C₄×D₄	—	5	8	no	—
836	C₄×D₄	—	5	8	no	—
837	C₄×D₄	—	5	8	no	—
838	C₄×D₄	—	5	8	no	—
839	C₄×D₄	—	5	8	no	—
840	C₄×D₄	—	5	8	no	—
841	C₄×D₄	—	5	8	no	—
842	C₄×D₄	—	5	16	no	—
843	C₄×D₄	—	5	16	no	—
844	C₄×D₄	—	5	16	no	—
845	C₄×D₄	—	5	16	no	—
846	C₄×D₄	—	5	16	no	—
847	C₄×D₄	—	5	16	no	—
848	C₄×D₄	—	5	16	no	—
849	C₄×D₄	—	5	8	no	—
850	C₄×D₄	—	5	16	no	—
851	C₄×D₄	C₂²×D₅	1	8	yes	—
852	#117	—	5	8	no	—
853	#117	—	5	16	no	—
854	#117	—	5	16	no	—
855	#117	—	5	8	no	—
856	#117	—	5	16	no	—
857	#117	—	5	16	no	—
858	#117	—	5	16	no	—
859	#117	C₂²×D₅	1	8	yes	—
860	#117	C₂²×D₅	1	8	yes	complemented
861	C₂×C₄⋊C₄	—	5	1	no	—
862	C₂×C₄⋊C₄	—	5	2	no	—
863	C₂×C₄⋊C₄	—	5	1	no	—
864	C₂×C₄⋊C₄	—	5	1	no	—
865	C₂×C₄⋊C₄	—	5	2	no	—
866	C₂×C₄⋊C₄	—	5	1	no	—
867	C₂×C₄⋊C₄	—	5	2	no	—
868	C₂×C₄⋊C₄	—	5	2	no	—
869	C₂×C₄⋊C₄	—	5	2	no	—
870	C₂×C₄⋊C₄	—	5	2	no	—
871	C₂×C₄⋊C₄	—	5	1	no	—
872	C₂×C₄⋊C₄	—	5	1	no	—
873	C₂×C₄⋊C₄	—	5	1	no	—
874	C₂×C₄⋊C₄	—	5	1	no	—
875	C₂×C₄⋊C₄	—	5	2	no	—
876	C₂×C₄⋊C₄	—	5	2	no	—
877	C₂×C₄⋊C₄	—	5	2	no	—
878	C₂×C₄⋊C₄	—	5	2	no	—
879	C₂×C₄⋊C₄	—	5	2	no	—
880	C₂×C₄⋊C₄	—	5	2	no	—
881	C₂×C₄⋊C₄	—	5	1	no	—
882	C₂×C₄⋊C₄	—	5	1	no	—
883	C₂×C₄⋊C₄	—	5	16	no	—
884	C₂×C₄⋊C₄	—	5	8	no	—
885	C₂×C₄⋊C₄	—	5	16	no	—
886	C₂×C₄⋊C₄	—	5	16	no	—
887	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
888	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
890	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
891	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
895	C₂×C₂²⋊C₄	—	5	1	no	—
896	C₂×C₂²⋊C₄	—	5	1	no	—
897	C₂×C₂²⋊C₄	—	5	1	no	—
898	C₂×C₂²⋊C₄	—	5	2	no	—
899	C₂×C₂²⋊C₄	—	5	1	no	—
900	C₂×C₂²⋊C₄	—	5	2	no	—
901	C₂×C₂²⋊C₄	—	5	2	no	—
902	C₂×C₂²⋊C₄	—	5	2	no	—
903	C₂×C₂²⋊C₄	—	5	2	no	—
904	C₂×C₂²⋊C₄	—	5	2	no	—
905	C₂×C₂²⋊C₄	—	5	2	no	—
906	C₂×C₂²⋊C₄	—	5	2	no	—
907	C₂×C₂²⋊C₄	—	5	2	no	—
908	C₂×C₂²⋊C₄	—	5	1	no	—
909	C₂×C₂²⋊C₄	—	5	2	no	—
910	C₂×C₂²⋊C₄	—	5	2	no	—
911	C₂×C₂²⋊C₄	—	5	1	no	—
912	C₂×C₂²⋊C₄	—	5	1	no	—
913	C₂×C₂²⋊C₄	—	5	2	no	—
914	C₂×C₂²⋊C₄	—	5	2	no	—
915	C₂×C₂²⋊C₄	—	5	2	no	—
916	C₂×C₂²⋊C₄	—	5	1	no	—
917	C₂×C₂²⋊C₄	—	5	16	no	—
918	C₂×C₂²⋊C₄	—	5	16	no	—
919	C₂×C₂²⋊C₄	—	5	16	no	—
920	C₂×C₂²⋊C₄	—	5	16	no	—
921	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
922	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
924	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
925	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
926	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
927	C₂×C₄²	—	5	1	no	—
928	C₂×C₄²	—	5	1	no	—
929	C₂×C₄²	—	5	2	no	—
930	C₂×C₄²	—	5	2	no	—
931	C₂×C₄²	—	5	1	no	—
932	C₂×C₄²	—	5	1	no	—
933	C₂×C₄²	—	5	2	no	—
934	C₂×C₄²	—	5	8	no	—
935	C₂×C₄²	—	5	1	no	—
936	C₂×C₄²	—	5	16	no	—
937	C₂×C₄²	C₂²×D₅	1	2	yes	—
938	C₂×C₄²	C₂²×D₅	1	2	yes	—
939	C₂×C₄²	C₂²×D₅	1	2	yes	—
940	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
941	C₂²×C₅	—	2	2	no	—
942	C₂²×C₅	—	2	2	no	—
943	C₂²×C₅	—	2	2	no	—
944	C₂²×C₅	—	2	2	no	—
945	C₂²×C₅	—	2	2	no	—
946	C₂²×C₅	—	2	2	no	—
947	C₂²×C₅	—	4	4	no	—
948	C₂²×C₅	—	4	4	no	—
949	C₂²×C₅	C₂²×#41	1	2	yes	—
950	C₂²×C₅	#585	1	2	yes	—
951	C₂²×C₅	#585	1	2	yes	—
952	C₂²×C₅	C₂⁶	1	1	yes	characteristic
953	C₂×D₅	—	2	4	no	—
954	C₂×D₅	—	2	4	no	—
955	C₂×D₅	—	2	16	no	—
956	C₂×D₅	—	2	2	no	—
957	C₂×D₅	—	2	4	no	—
958	C₂×D₅	—	2	2	no	—
959	C₂×D₅	—	2	4	no	—
960	C₂×D₅	—	2	4	no	—
961	C₂×D₅	—	2	2	no	—
962	C₂×D₅	—	4	4	no	—
963	C₂×D₅	—	4	8	no	—
964	C₂×D₅	—	8	16	no	—
965	C₂×D₅	C₂²×#41	1	8	yes	—
966	C₄×C₅	—	2	2	no	—
967	C₄×C₅	—	2	4	no	—
968	C₄×C₅	—	2	2	no	—
969	C₄×C₅	—	2	2	no	—
970	C₄×C₅	—	2	4	no	—
971	C₄×C₅	—	2	4	no	—
972	C₄×C₅	—	2	4	no	—
973	C₄×C₅	—	2	2	no	—
974	C₄×C₅	C₂²×#41	1	4	yes	—
975	Dic₅	—	2	4	no	—
976	Dic₅	—	2	2	no	—
977	Dic₅	—	2	2	no	—
978	Dic₅	—	2	2	no	—
979	Dic₅	—	2	2	no	—
980	Dic₅	—	2	2	no	—
981	Dic₅	—	2	2	no	—
982	Dic₅	—	2	2	no	—
983	Dic₅	—	2	4	no	—
984	C₂⁴	—	5	2	no	—
985	C₂⁴	—	5	2	no	—
986	C₂⁴	—	5	1	no	—
987	C₂⁴	—	5	8	no	—
988	C₂⁴	—	10	8	no	—
989	C₂⁴	—	20	4	no	—
990	C₂⁴	—	20	4	no	—
991	C₂⁴	C₂³×D₅	1	1	yes	characteristic
992	C₂⁴	C₂³×D₅	1	1	yes	characteristic
993	#41	—	10	32	no	—
994	#41	—	10	32	no	—
995	C₂×Q₈	—	2	4	no	—
996	C₂×Q₈	—	4	4	no	—
997	C₂×Q₈	—	5	4	no	—
998	C₂×Q₈	—	5	4	no	—
999	C₂×Q₈	—	10	4	no	—
1000	C₂×Q₈	—	20	2	no	—
1001	C₂×Q₈	C₂³×D₅	1	4	yes	—
1002	C₂×Q₈	C₂³×D₅	1	8	yes	—
1003	C₂×D₄	—	4	2	no	—
1004	C₂×D₄	—	5	8	no	—
1005	C₂×D₄	—	5	4	no	—
1006	C₂×D₄	—	5	8	no	—
1007	C₂×D₄	—	5	4	no	—
1008	C₂×D₄	—	5	8	no	—
1009	C₂×D₄	—	5	4	no	—
1010	C₂×D₄	—	5	8	no	—
1011	C₂×D₄	—	5	8	no	—
1012	C₂×D₄	—	5	4	no	—
1013	C₂×D₄	—	5	8	no	—
1014	C₂×D₄	—	10	32	no	—
1015	C₂×D₄	—	10	8	no	—
1016	C₂×D₄	—	10	8	no	—
1017	C₂×D₄	—	10	8	no	—
1018	C₂×D₄	—	10	4	no	—
1019	C₂×D₄	—	20	4	no	—
1020	C₂×D₄	—	20	2	no	—
1021	C₂×D₄	—	20	4	no	—
1022	C₂×D₄	—	20	2	no	—
1023	C₂×D₄	C₂³×D₅	1	4	yes	—
1024	C₂²×C₄	—	2	4	no	—
1025	C₂²×C₄	—	2	4	no	—
1026	C₂²×C₄	—	5	1	no	—
1027	C₂²×C₄	—	5	1	no	—
1028	C₂²×C₄	—	5	1	no	—
1029	C₂²×C₄	—	5	2	no	—
1030	C₂²×C₄	—	5	1	no	—
1031	C₂²×C₄	—	5	1	no	—
1032	C₂²×C₄	—	5	1	no	—
1033	C₂²×C₄	—	5	2	no	—
1034	C₂²×C₄	—	5	1	no	—
1035	C₂²×C₄	—	5	4	no	—
1036	C₂²×C₄	—	5	4	no	—
1037	C₂²×C₄	—	5	8	no	—
1038	C₂²×C₄	—	5	8	no	—
1039	C₂²×C₄	—	5	4	no	—
1040	C₂²×C₄	—	5	8	no	—
1041	C₂²×C₄	—	5	8	no	—
1042	C₂²×C₄	—	5	8	no	—
1043	C₂²×C₄	—	5	8	no	—
1044	C₂²×C₄	—	5	8	no	—
1045	C₂²×C₄	—	5	8	no	—
1046	C₂²×C₄	—	5	8	no	—
1047	C₂²×C₄	—	10	8	no	—
1048	C₂²×C₄	—	10	8	no	—
1049	C₂²×C₄	—	10	4	no	—
1050	C₂²×C₄	—	20	4	no	—
1051	C₂²×C₄	—	20	4	no	—
1052	C₂²×C₄	—	20	4	no	—
1053	C₂²×C₄	—	20	4	no	—
1054	C₂²×C₄	—	20	4	no	—
1055	C₂²×C₄	—	20	4	no	—
1056	C₂²×C₄	—	20	4	no	—
1057	C₂²×C₄	—	20	2	no	—
1058	C₂²×C₄	—	20	2	no	—
1059	C₂²×C₄	C₂³×D₅	1	4	yes	—
1060	C₂²×C₄	C₂³×D₅	1	4	yes	—
1061	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₅	1	2	yes	—
1063	C₂²×C₄	C₂³×D₅	1	2	yes	—
1064	C₂²×C₄	C₂³×D₅	1	2	yes	—
1065	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₅	1	2	yes	—
1068	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1070	C₄⋊C₄	—	5	4	no	—
1071	C₄⋊C₄	—	5	8	no	—
1072	C₄⋊C₄	—	5	4	no	—
1073	C₄⋊C₄	—	5	4	no	—
1074	C₄⋊C₄	—	5	8	no	—
1075	C₄⋊C₄	—	5	4	no	—
1076	C₄⋊C₄	—	5	8	no	—
1077	C₄⋊C₄	—	5	8	no	—
1078	C₄⋊C₄	—	5	8	no	—
1079	C₄⋊C₄	—	5	8	no	—
1080	C₄⋊C₄	—	5	4	no	—
1081	C₄⋊C₄	—	5	4	no	—
1082	C₄⋊C₄	—	5	4	no	—
1083	C₄⋊C₄	—	5	4	no	—
1084	C₄⋊C₄	—	5	8	no	—
1085	C₄⋊C₄	—	5	8	no	—
1086	C₄⋊C₄	—	5	8	no	—
1087	C₄⋊C₄	—	5	8	no	—
1088	C₄⋊C₄	—	5	8	no	—
1089	C₄⋊C₄	—	5	8	no	—
1090	C₄⋊C₄	—	5	4	no	—
1091	C₄⋊C₄	—	5	4	no	—
1092	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1093	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1094	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1095	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1096	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1097	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1098	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1099	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1100	C₂²⋊C₄	—	5	4	no	—
1101	C₂²⋊C₄	—	5	4	no	—
1102	C₂²⋊C₄	—	5	4	no	—
1103	C₂²⋊C₄	—	5	8	no	—
1104	C₂²⋊C₄	—	5	4	no	—
1105	C₂²⋊C₄	—	5	8	no	—
1106	C₂²⋊C₄	—	5	8	no	—
1107	C₂²⋊C₄	—	5	8	no	—
1108	C₂²⋊C₄	—	5	8	no	—
1109	C₂²⋊C₄	—	5	8	no	—
1110	C₂²⋊C₄	—	5	8	no	—
1111	C₂²⋊C₄	—	5	8	no	—
1112	C₂²⋊C₄	—	5	8	no	—
1113	C₂²⋊C₄	—	5	4	no	—
1114	C₂²⋊C₄	—	5	8	no	—
1115	C₂²⋊C₄	—	5	8	no	—
1116	C₂²⋊C₄	—	5	4	no	—
1117	C₂²⋊C₄	—	5	4	no	—
1118	C₂²⋊C₄	—	5	8	no	—
1119	C₂²⋊C₄	—	5	8	no	—
1120	C₂²⋊C₄	—	5	8	no	—
1121	C₂²⋊C₄	—	5	4	no	—
1122	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1123	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1124	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1125	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1126	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1127	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1128	C₄²	—	5	4	no	—
1129	C₄²	—	5	4	no	—
1130	C₄²	—	5	4	no	—
1131	C₄²	—	5	8	no	—
1132	C₄²	—	5	4	no	—
1133	C₄²	—	5	8	no	—
1134	C₄²	—	5	8	no	—
1135	C₄²	—	5	4	no	—
1136	C₄²	C₂³×D₅	1	8	yes	—
1137	C₄²	C₂³×D₅	1	8	yes	—
1138	C₄²	C₂³×D₅	1	8	yes	—
1139	C₄²	C₂³×D₅	1	4	yes	—
1140	C₂×C₅	—	4	2	no	—
1141	C₂×C₅	—	4	2	no	—
1142	C₂×C₅	#3521	1	4	yes	complemented
1143	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1144	C₂×C₅	C₂×#585	1	1	yes	characteristic
1145	C₂×C₅	C₂×#585	1	1	yes	characteristic
1146	D₅	—	2	8	no	—
1147	D₅	—	4	2	no	—
1148	D₅	—	4	4	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	5	8	no	—
1156	C₂³	—	5	4	no	—
1157	C₂³	—	5	4	no	—
1158	C₂³	—	5	2	no	—
1159	C₂³	—	10	16	no	—
1160	C₂³	—	10	4	no	—
1161	C₂³	—	10	4	no	—
1162	C₂³	—	10	2	no	—
1163	C₂³	—	10	4	no	—
1164	C₂³	—	10	4	no	—
1165	C₂³	—	10	2	no	—
1166	C₂³	—	10	2	no	—
1167	C₂³	—	10	4	no	—
1168	C₂³	—	20	8	no	—
1169	C₂³	—	20	8	no	—
1170	C₂³	—	40	16	no	—
1171	C₂³	C₂⁴×D₅	1	2	yes	—
1172	C₂³	C₂⁴×D₅	1	2	yes	—
1173	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1174	Q₈	—	2	8	no	—
1175	Q₈	—	4	8	no	—
1176	Q₈	—	10	8	no	—
1177	Q₈	—	20	4	no	—
1178	D₄	—	4	4	no	—
1179	D₄	—	5	16	no	—
1180	D₄	—	10	16	no	—
1181	D₄	—	10	16	no	—
1182	D₄	—	10	16	no	—
1183	D₄	—	10	8	no	—
1184	D₄	—	20	8	no	—
1185	D₄	—	20	4	no	—
1186	D₄	—	20	8	no	—
1187	D₄	—	20	4	no	—
1188	C₂×C₄	—	2	2	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	4	no	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	4	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	8	no	—
1197	C₂×C₄	—	2	8	no	—
1198	C₂×C₄	—	5	2	no	—
1199	C₂×C₄	—	5	2	no	—
1200	C₂×C₄	—	5	2	no	—
1201	C₂×C₄	—	5	4	no	—
1202	C₂×C₄	—	5	2	no	—
1203	C₂×C₄	—	5	2	no	—
1204	C₂×C₄	—	5	2	no	—
1205	C₂×C₄	—	5	4	no	—
1206	C₂×C₄	—	5	2	no	—
1207	C₂×C₄	—	10	16	no	—
1208	C₂×C₄	—	10	16	no	—
1209	C₂×C₄	—	10	2	no	—
1210	C₂×C₄	—	10	4	no	—
1211	C₂×C₄	—	10	2	no	—
1212	C₂×C₄	—	10	2	no	—
1213	C₂×C₄	—	10	2	no	—
1214	C₂×C₄	—	10	2	no	—
1215	C₂×C₄	—	10	4	no	—
1216	C₂×C₄	—	10	2	no	—
1217	C₂×C₄	—	10	2	no	—
1218	C₂×C₄	—	10	8	no	—
1219	C₂×C₄	—	20	8	no	—
1220	C₂×C₄	—	20	8	no	—
1221	C₂×C₄	—	20	8	no	—
1222	C₂×C₄	—	20	8	no	—
1223	C₂×C₄	—	20	8	no	—
1224	C₂×C₄	—	20	8	no	—
1225	C₂×C₄	—	20	8	no	—
1226	C₂×C₄	—	20	4	no	—
1227	C₂×C₄	—	20	4	no	—
1228	C₂×C₄	D₅×#41	1	4	yes	—
1229	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1230	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1231	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1232	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1233	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1234	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1235	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1236	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1237	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1238	C₅	C₂×#3521	1	1	yes	characteristic, complemented, Sylow
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	2	no	—
1245	C₂²	—	4	4	no	—
1246	C₂²	—	4	4	no	—
1247	C₂²	—	5	8	no	—
1248	C₂²	—	10	16	no	—
1249	C₂²	—	10	4	no	—
1250	C₂²	—	10	4	no	—
1251	C₂²	—	10	2	no	—
1252	C₂²	—	10	4	no	—
1253	C₂²	—	10	4	no	—
1254	C₂²	—	10	2	no	—
1255	C₂²	—	10	2	no	—
1256	C₂²	—	10	4	no	—
1257	C₂²	—	20	8	no	—
1258	C₂²	—	20	4	no	—
1259	C₂²	—	40	16	no	—
1260	C₂²	C₂×D₅×#41	1	2	yes	—
1261	C₂²	#66283	1	2	yes	—
1262	C₂²	#66287	1	2	yes	—
1263	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	4	no	—
1267	C₄	—	2	4	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	4	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	10	2	no	—
1273	C₄	—	10	4	no	—
1274	C₄	—	10	2	no	—
1275	C₄	—	10	2	no	—
1276	C₄	—	10	2	no	—
1277	C₄	—	10	2	no	—
1278	C₄	—	10	4	no	—
1279	C₄	—	10	2	no	—
1280	C₄	—	10	2	no	—
1281	C₄	C₂×D₅×#41	1	4	yes	—
1282	C₂	—	4	2	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	10	8	no	—
1285	C₂	—	20	4	no	—
1286	C₂	—	20	2	no	—
1287	C₂	#10618892	1	4	yes	direct product factor
1288	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1289	C₂	C₂×#66283	1	1	yes	characteristic
1290	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×#556	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#556	D₅
hypocenter	C₅	C₂×#3521
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#556

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#556	C₂	semidirect
2. #10618892	C₂	direct (N × H)
3. C₂×#66064	C₂	semidirect
4. C₂×#66067	C₂	semidirect
5. C₂×#66039	C₂	semidirect
6. C₂×#66041	C₂	semidirect
7. C₂×D₅×#126	C₂	semidirect
8. C₂×#66043	C₂	semidirect
9. C₂×#66013	C₂	semidirect
10. C₂×#66012	C₂	semidirect
11. C₂×#65965	C₂	semidirect
12. C₂×#65964	C₂	semidirect
13. C₂×#65959	C₂	semidirect
14. C₂×#65958	C₂	semidirect
15. C₂×#65915	C₂	semidirect
16. C₂×#65914	C₂	semidirect
17. C₂×#65902	C₂	semidirect
18. C₂×#65908	C₂	semidirect
19. C₂×#65884	C₂	semidirect
20. C₂×#65872	C₂	semidirect
21. C₂×#65864	C₂	semidirect
22. C₂×#65863	C₂	semidirect
23. C₂×#65855	C₂	semidirect
24. C₂×#65856	C₂	semidirect
28. C₅×#556	C₂²	semidirect
29. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
31. C₂×C₅×#126	C₂²	semidirect
34. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₄×C₅×Q₈	C₂²	semidirect
36. C₂×C₄×C₅×Q₈	C₂²	semidirect
39. C₂×C₅×#117	C₂²	semidirect
41. C₂×#4093	C₂²	semidirect
42. C₂×#4092	C₂²	semidirect
43. C₂×#4092	C₂²	semidirect
44. C₂×#4092	C₂²	semidirect
45. C₂×Q₈×Dic₅	C₂²	semidirect
46. C₂×#4090	C₂²	semidirect
52. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
55. C₂²×C₄×Dic₅	C₂²	semidirect
56. #66067	C₂²	semidirect
57. #66064	C₂²	semidirect
58. #66043	C₂²	semidirect
59. #66041	C₂²	semidirect
60. #66039	C₂²	semidirect
61. D₅×#126	C₂²	semidirect
62. #66013	C₂²	semidirect
63. #66012	C₂²	semidirect
64. #65965	C₂²	semidirect
65. #65964	C₂²	semidirect
66. #65959	C₂²	semidirect
67. #65958	C₂²	semidirect
68. #65915	C₂²	semidirect
69. #65914	C₂²	semidirect
70. #65908	C₂²	semidirect
71. #65902	C₂²	semidirect
72. #65884	C₂²	semidirect
73. #65872	C₂²	semidirect
74. #65864	C₂²	semidirect
75. #65863	C₂²	semidirect
76. #65856	C₂²	semidirect
77. #65855	C₂²	semidirect
78. C₂×#4044	C₂²	semidirect
79. C₂×#4044	C₂²	semidirect
80. C₂×#4044	C₂²	semidirect
81. C₂×#4044	C₂²	semidirect
82. C₂×#4043	C₂²	semidirect
83. C₂×#4043	C₂²	semidirect
84. C₂×#4042	C₂²	semidirect
89. C₂×#4040	C₂²	semidirect
90. C₂×#4040	C₂²	semidirect
96. C₂×#4039	C₂²	semidirect
97. C₂×#4038	C₂²	semidirect
98. C₂×D₅×C₄⋊C₄	C₂²	semidirect
99. C₂×D₅×C₄⋊C₄	C₂²	semidirect
100. C₂×D₅×C₄⋊C₄	C₂²	semidirect
101. C₂×D₅×C₄⋊C₄	C₂²	semidirect
102. C₂×#4036	C₂²	semidirect
103. C₂×#4036	C₂²	semidirect
104. C₂×#4036	C₂²	semidirect
105. C₂×#4035	C₂²	semidirect
106. C₂×#4035	C₂²	semidirect
107. C₂×#4033	C₂²	semidirect
108. C₂×#4033	C₂²	semidirect
109. C₂×#4032	C₂²	semidirect
110. C₂×#4032	C₂²	semidirect
113. C₂×#4030	C₂²	semidirect
114. C₂×#4030	C₂²	semidirect
116. C₂×#4029	C₂²	semidirect
117. C₂×#4029	C₂²	semidirect
119. C₂×#4027	C₂²	semidirect
120. C₂×#4027	C₂²	semidirect
121. C₂×#4027	C₂²	semidirect
130. C₂×#4024	C₂²	semidirect
131. C₂×#4022	C₂²	semidirect
132. C₂×#4022	C₂²	semidirect
137. C₂×C₄×D₂₀	C₂²	semidirect
138. C₂×C₄×D₂₀	C₂²	semidirect
139. C₂×#4018	C₂²	semidirect
140. C₂×#4018	C₂²	semidirect
141. C₂×#4018	C₂²	semidirect
142. C₂×#4018	C₂²	semidirect
143. C₂×#4018	C₂²	semidirect
144. C₂×C₄²×D₅	C₂²	semidirect
145. C₂×#4016	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
183. C₅×C₄⋊Q₈	C₂³	semidirect
185. C₅×#126	C₂³	semidirect
188. C₅×C₂²⋊Q₈	C₂³	semidirect
189. C₄×C₅×Q₈	C₂³	semidirect
190. C₄×C₅×Q₈	C₂³	semidirect
193. C₅×#117	C₂³	semidirect
218. #4093	C₂³	semidirect
219. #4092	C₂³	semidirect
220. #4092	C₂³	semidirect
221. #4092	C₂³	semidirect
222. Q₈×Dic₅	C₂³	semidirect
223. #4090	C₂³	semidirect
229. C₄×C₂²⋊D₅	C₂³	semidirect
279. C₂×C₄×Dic₅	C₂³	semidirect
280. #4044	C₂³	semidirect
281. #4044	C₂³	semidirect
282. #4044	C₂³	semidirect
283. #4044	C₂³	semidirect
284. #4043	C₂³	semidirect
285. #4043	C₂³	semidirect
286. #4042	C₂³	semidirect
291. #4040	C₂³	semidirect
292. #4040	C₂³	semidirect
298. #4039	C₂³	semidirect
299. #4038	C₂³	semidirect
300. D₅×C₄⋊C₄	C₂³	semidirect
301. D₅×C₄⋊C₄	C₂³	semidirect
302. D₅×C₄⋊C₄	C₂³	semidirect
303. D₅×C₄⋊C₄	C₂³	semidirect
304. #4036	C₂³	semidirect
305. #4036	C₂³	semidirect
306. #4036	C₂³	semidirect
307. #4035	C₂³	semidirect
308. #4035	C₂³	semidirect
309. #4033	C₂³	semidirect
310. #4033	C₂³	semidirect
311. #4032	C₂³	semidirect
312. #4032	C₂³	semidirect
315. #4030	C₂³	semidirect
316. #4030	C₂³	semidirect
318. #4029	C₂³	semidirect
319. #4029	C₂³	semidirect
321. #4027	C₂³	semidirect
322. #4027	C₂³	semidirect
323. #4027	C₂³	semidirect
332. #4024	C₂³	semidirect
333. #4022	C₂³	semidirect
334. #4022	C₂³	semidirect
339. C₄×D₂₀	C₂³	semidirect
340. C₄×D₂₀	C₂³	semidirect
341. #4018	C₂³	semidirect
342. #4018	C₂³	semidirect
343. #4018	C₂³	semidirect
344. #4018	C₂³	semidirect
345. #4018	C₂³	semidirect
346. C₄²×D₅	C₂³	semidirect
347. #4016	C₂³	semidirect
348. C₄×Dic₁₀	C₂³	semidirect
351. C₂×#556	D₅	semidirect
533. #556	C₂×D₅	semidirect
549. C₂×C₄⋊Q₈	C₂×D₅	semidirect
565. C₂×#126	C₂×D₅	semidirect
596. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
613. C₂×C₄×Q₈	C₂×D₅	semidirect
614. C₂×C₄×Q₈	C₂×D₅	semidirect
640. C₂×#117	C₂×D₅	semidirect
776. C₄⋊Q₈	C₂²×D₅	semidirect
788. #126	C₂²×D₅	semidirect
819. C₂²⋊Q₈	C₂²×D₅	semidirect
833. C₄×Q₈	C₂²×D₅	semidirect
834. C₄×Q₈	C₂²×D₅	semidirect
860. #117	C₂²×D₅	semidirect
1142. C₂×C₅	#3521	semidirect
1238. C₅	C₂×#3521	semidirect
1287. C₂	#10618892	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×#556	2
#10618892	2
C₂×#66064	2
C₂×#66067	2
C₂×#66039	2
C₂×#66041	2
C₂×D₅×#126	2
C₂×#66043	2
C₂×#66013	2
C₂×#66012	2
C₂×#65965	2
C₂×#65964	2
C₂×#65959	2
C₂×#65958	2
C₂×#65915	2
C₂×#65914	2
C₂×#65902	2
C₂×#65908	2
C₂×#65884	2
C₂×#65872	2
C₂×#65864	2
C₂×#65863	2
C₂×#65855	2
C₂×#65856	2
C₂×#3521	5

Subgroups — C2×#10618892 #13007441

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618892 #13007441