Subgroups — C₂×#10618453 #13007789

Order 1280.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618453	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66067	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66062	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66039	C₂	1	2	yes	maximal, complemented
6	C₂×#66036	C₂	1	2	yes	maximal, complemented
7	C₂×#66013	C₂	1	2	yes	maximal, complemented
8	C₂×#66016	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66015	C₂	1	2	yes	maximal, complemented
11	C₂×#65992	C₂	1	2	yes	maximal, complemented
12	C₂×#65998	C₂	1	2	yes	maximal, complemented
13	C₂×#65971	C₂	1	2	yes	maximal, complemented
14	C₂×#65962	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65975	C₂	1	2	yes	maximal, complemented
16	C₂×#65958	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65941	C₂	1	1	yes	maximal, characteristic
18	C₂×#65934	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65914	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65906	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65891	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65879	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65868	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65856	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
26	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
27	C₂²×#709	C₂²	1	1	yes	characteristic
28	C₅×#542	C₂²	1	16	yes	complemented
29	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₅×#126	C₂²	1	2	yes	complemented
31	C₂×C₅×#124	C₂²	1	1	yes	characteristic
32	C₂×C₅×#124	C₂²	1	2	yes	complemented
33	C₂×C₅×#123	C₂²	1	2	yes	complemented
34	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₂×C₅×#121	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×C₅×D₄	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	—
43	C₂×#4092	C₂²	1	2	yes	complemented
44	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
45	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
46	C₂×Q₈×Dic₅	C₂²	1	2	yes	complemented
47	C₂×#4086	C₂²	1	2	yes	—
48	C₂×#4084	C₂²	1	1	yes	characteristic
49	C₂×#4083	C₂²	1	2	yes	—
50	C₂×#4082	C₂²	1	1	yes	characteristic
51	C₂×#4081	C₂²	1	2	yes	complemented
52	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
53	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
54	C₂×#4076	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
56	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
57	C₂²×#685	C₂²	1	2	yes	—
58	C₂×#4072	C₂²	1	2	yes	complemented
59	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
61	#66067	C₂²	1	16	yes	complemented
62	#66062	C₂²	1	16	yes	complemented
63	#66039	C₂²	1	32	yes	complemented
64	#66036	C₂²	1	32	yes	complemented
65	#66016	C₂²	1	16	yes	complemented
66	#66015	C₂²	1	32	yes	complemented
67	#66013	C₂²	1	32	yes	complemented
68	D₅×#124	C₂²	1	16	yes	complemented
69	#65998	C₂²	1	32	yes	complemented
70	#65992	C₂²	1	32	yes	complemented
71	#65975	C₂²	1	32	yes	complemented
72	#65971	C₂²	1	32	yes	complemented
73	#65962	C₂²	1	16	yes	complemented
74	#65958	C₂²	1	16	yes	complemented
75	#65941	C₂²	1	16	yes	—
76	#65934	C₂²	1	16	yes	complemented
77	#65914	C₂²	1	16	yes	complemented
78	#65906	C₂²	1	16	yes	complemented
79	#65891	C₂²	1	16	yes	complemented
80	#65879	C₂²	1	16	yes	complemented
81	#65868	C₂²	1	16	yes	complemented
82	#65856	C₂²	1	16	yes	complemented
83	C₂×#4044	C₂²	1	2	yes	complemented
84	C₂×#4044	C₂²	1	2	yes	complemented
85	C₂×#4044	C₂²	1	2	yes	complemented
86	C₂×#4044	C₂²	1	2	yes	complemented
87	C₂×#4043	C₂²	1	2	yes	—
88	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
89	C₂×#4042	C₂²	1	2	yes	complemented
90	C₂×#4041	C₂²	1	1	yes	characteristic
91	C₂×#4040	C₂²	1	2	yes	—
92	C₂×#4040	C₂²	1	2	yes	complemented
93	C₂×#4040	C₂²	1	2	yes	complemented
94	C₂×#4039	C₂²	1	1	yes	characteristic
95	C₂×#4039	C₂²	1	1	yes	characteristic
96	C₂×#4039	C₂²	1	1	yes	characteristic
97	C₂×#4038	C₂²	1	1	yes	characteristic
98	C₂×#4038	C₂²	1	2	yes	—
99	C₂×#4038	C₂²	1	1	yes	characteristic
100	C₂×#4038	C₂²	1	2	yes	complemented
101	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
102	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
103	C₂×#4034	C₂²	1	2	yes	complemented
104	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
105	C₂×#4033	C₂²	1	2	yes	complemented
106	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
107	C₂×#4033	C₂²	1	2	yes	complemented
108	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
109	C₂×#4032	C₂²	1	2	yes	complemented
110	C₂×#4032	C₂²	1	2	yes	complemented
111	C₂×#4031	C₂²	1	2	yes	—
112	C₂×#4031	C₂²	1	2	yes	—
113	C₂×#4031	C₂²	1	2	yes	—
114	C₂×#4031	C₂²	1	2	yes	complemented
115	C₂×#4031	C₂²	1	2	yes	complemented
116	C₂×#4031	C₂²	1	2	yes	complemented
117	C₂×#4029	C₂²	1	2	yes	—
118	C₂×#4029	C₂²	1	2	yes	complemented
119	C₂×#4029	C₂²	1	2	yes	complemented
120	C₂×#4028	C₂²	1	2	yes	—
121	C₂×#4027	C₂²	1	1	yes	characteristic
122	C₂×#4027	C₂²	1	1	yes	characteristic
123	C₂×#4027	C₂²	1	2	yes	—
124	C₂×#4027	C₂²	1	2	yes	complemented
125	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
126	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
127	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
128	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
129	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
130	C₂×#4025	C₂²	1	2	yes	complemented
131	C₂×#4025	C₂²	1	2	yes	complemented
132	C₂×#4025	C₂²	1	2	yes	complemented
133	C₂×#4024	C₂²	1	2	yes	complemented
134	C₂×#4023	C₂²	1	2	yes	complemented
135	C₂×#4021	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
137	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
138	C₂×#4018	C₂²	1	1	yes	characteristic
139	C₂×#4018	C₂²	1	2	yes	—
140	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
141	C₂×#4018	C₂²	1	2	yes	complemented
142	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
143	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
144	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀	C₂²	1	2	yes	complemented
147	C₂×#3510	—	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	C₂²×C₅×D₄	C₂³	1	2	yes	—
153	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₅	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
156	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
158	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
160	C₂³×Dic₅	C₂³	1	2	yes	—
161	C₂³×Dic₅	C₂³	1	1	yes	characteristic
162	C₂³×Dic₅	C₂³	1	1	yes	characteristic
163	C₂×Q₈×D₅	—	2	8	no	—
164	C₂×Q₈×D₅	C₂³	1	8	yes	—
165	C₂×D₄×D₅	—	2	8	no	—
166	C₂×D₄×D₅	C₂³	1	8	yes	—
167	C₂×#709	—	2	8	no	—
168	C₂×#709	C₂³	1	8	yes	—
169	C₂²×D₂₀	C₂³	1	1	yes	characteristic
170	C₂²×D₂₀	C₂³	1	1	yes	characteristic
171	C₂²×D₂₀	C₂³	1	2	yes	—
172	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₅	C₂³	1	2	yes	—
174	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
175	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₅	C₂³	1	2	yes	—
179	C₂²×C₄×D₅	C₂³	1	2	yes	—
180	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
181	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
182	C₂²×Dic₁₀	C₂³	1	2	yes	—
183	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
184	C₂²×Dic₁₀	C₂³	1	2	yes	—
185	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
186	C₅×#126	C₂³	1	16	yes	complemented
187	C₅×#124	C₂³	1	8	yes	—
188	C₅×#124	C₂³	1	16	yes	complemented
189	C₅×#123	C₂³	1	16	yes	complemented
190	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
191	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
192	C₅×#121	C₂³	1	8	yes	—
193	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
194	C₄×C₅×D₄	C₂³	1	8	yes	—
195	C₅×#117	C₂³	1	8	yes	complemented
196	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
201	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₅×C₄⋊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	2	yes	—
206	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₅	C₂³	1	2	yes	—
212	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
214	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
215	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
216	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
217	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
218	#4093	C₂³	1	8	yes	—
219	#4093	C₂³	1	16	yes	complemented
220	#4092	C₂³	1	16	yes	—
221	#4092	C₂³	1	16	yes	complemented
222	#4092	C₂³	1	8	yes	complemented
223	Q₈×Dic₅	C₂³	1	16	yes	complemented
224	Q₈×Dic₅	C₂³	1	8	yes	complemented
225	#4086	C₂³	1	16	yes	—
226	#4084	C₂³	1	8	yes	—
227	#4083	C₂³	1	16	yes	—
228	#4082	C₂³	1	8	yes	—
229	#4081	C₂³	1	16	yes	complemented
230	D₄×Dic₅	C₂³	1	8	yes	—
231	D₄×Dic₅	C₂³	1	16	yes	complemented
232	#4076	C₂³	1	8	yes	—
233	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
234	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
235	C₂×#685	C₂³	1	1	yes	characteristic
236	C₂×#685	C₂³	1	1	yes	characteristic
237	C₂×#685	C₂³	1	2	yes	—
238	C₂×#685	C₂³	1	2	yes	—
239	C₂×#685	C₂³	1	1	yes	characteristic
240	C₂×#685	C₂³	1	1	yes	characteristic
241	C₂×#685	C₂³	1	2	yes	—
242	C₂×#685	C₂³	1	2	yes	—
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	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	16	yes	—
252	#4072	C₂³	1	16	yes	complemented
253	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
257	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
258	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
260	#4070	C₂³	1	8	yes	complemented
261	C₂×#683	C₂³	1	2	yes	—
262	C₂×#683	C₂³	1	1	yes	characteristic
263	C₂×#683	C₂³	1	2	yes	—
264	C₂×#683	C₂³	1	1	yes	characteristic
265	C₂×#683	C₂³	1	2	yes	—
266	C₂×#683	C₂³	1	1	yes	characteristic
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	2	yes	—
272	C₂×C₄×Dic₅	C₂³	1	2	yes	—
273	C₂×C₄×Dic₅	C₂³	1	2	yes	—
274	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅	C₂³	1	2	yes	—
281	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₅	C₂³	1	2	yes	—
284	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
285	#4044	C₂³	1	16	yes	complemented
286	#4044	C₂³	1	16	yes	complemented
287	#4044	C₂³	1	16	yes	complemented
288	#4044	C₂³	1	16	yes	complemented
289	#4043	C₂³	1	16	yes	—
290	#4043	C₂³	1	8	yes	complemented
291	#4042	C₂³	1	16	yes	complemented
292	#4041	C₂³	1	8	yes	—
293	#4040	C₂³	1	16	yes	—
294	#4040	C₂³	1	16	yes	complemented
295	#4040	C₂³	1	16	yes	complemented
296	#4039	C₂³	1	8	yes	—
297	#4039	C₂³	1	8	yes	—
298	#4039	C₂³	1	8	yes	—
299	#4038	C₂³	1	8	yes	—
300	#4038	C₂³	1	8	yes	—
301	#4038	C₂³	1	16	yes	—
302	#4038	C₂³	1	16	yes	complemented
303	#4036	C₂³	1	8	yes	complemented
304	#4036	C₂³	1	8	yes	complemented
305	#4034	C₂³	1	16	yes	complemented
306	#4033	C₂³	1	16	yes	complemented
307	#4033	C₂³	1	8	yes	complemented
308	#4033	C₂³	1	8	yes	complemented
309	#4033	C₂³	1	8	yes	complemented
310	#4033	C₂³	1	16	yes	complemented
311	#4032	C₂³	1	16	yes	complemented
312	#4032	C₂³	1	16	yes	complemented
313	#4031	C₂³	1	16	yes	—
314	#4031	C₂³	1	16	yes	—
315	#4031	C₂³	1	16	yes	—
316	#4031	C₂³	1	16	yes	complemented
317	#4031	C₂³	1	16	yes	complemented
318	#4031	C₂³	1	16	yes	complemented
319	#4029	C₂³	1	16	yes	—
320	#4029	C₂³	1	16	yes	complemented
321	#4029	C₂³	1	16	yes	complemented
322	#4028	C₂³	1	16	yes	—
323	#4027	C₂³	1	8	yes	—
324	#4027	C₂³	1	8	yes	—
325	#4027	C₂³	1	16	yes	—
326	#4027	C₂³	1	8	yes	complemented
327	#4027	C₂³	1	8	yes	complemented
328	#4027	C₂³	1	16	yes	complemented
329	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
330	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
331	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
332	#4025	C₂³	1	16	yes	complemented
333	#4025	C₂³	1	16	yes	complemented
334	#4025	C₂³	1	16	yes	complemented
335	#4024	C₂³	1	16	yes	complemented
336	#4023	C₂³	1	16	yes	complemented
337	#4021	C₂³	1	8	yes	—
338	C₄×D₂₀	C₂³	1	8	yes	—
339	C₄×D₂₀	C₂³	1	16	yes	complemented
340	#4018	C₂³	1	8	yes	—
341	#4018	C₂³	1	16	yes	—
342	#4018	C₂³	1	8	yes	complemented
343	#4018	C₂³	1	16	yes	complemented
344	C₄²×D₅	C₂³	1	8	yes	—
345	C₄²×D₅	C₂³	1	8	yes	complemented
346	#4015	C₂³	1	8	yes	complemented
347	C₄×Dic₁₀	C₂³	1	8	yes	complemented
348	C₄×Dic₁₀	C₂³	1	16	yes	complemented
349	#3510	—	5	32	no	—
350	C₂×#559	—	5	2	no	—
351	C₂×#559	—	5	2	no	—
352	C₂×#556	—	5	2	no	—
353	C₂×#556	—	5	2	no	—
354	C₂×#551	—	5	2	no	—
355	C₂×#551	—	5	2	no	—
356	C₂×#551	—	5	2	no	—
357	C₂×#551	—	5	2	no	—
358	C₂×#542	—	5	1	no	—
359	C₂×#542	—	5	1	no	—
360	C₂×#542	—	5	1	no	—
361	C₂×#542	D₅	1	1	yes	characteristic, complemented
362	C₂×#536	—	5	1	no	—
363	C₂×#535	—	5	1	no	—
364	C₂×#533	—	5	1	no	—
365	C₂×#529	—	5	1	no	—
366	C₂×#529	—	5	1	no	—
367	C₂×#529	—	5	1	no	—
368	C₂×#529	—	5	1	no	—
369	C₂²×#124	—	5	1	no	—
370	C₂×#519	—	5	1	no	—
371	C₂×#518	—	5	1	no	—
372	C₂×C₄×#41	—	5	1	no	—
373	C₂⁴×C₅	C₂⁴	1	2	yes	—
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	1	yes	characteristic
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	—	2	4	no	—
387	C₂×C₅×D₄	—	4	4	no	—
388	C₂×C₅×D₄	C₂⁴	1	4	yes	—
389	C₂×C₅×D₄	C₂⁴	1	8	yes	—
390	C₂²×C₄×C₅	—	2	4	no	—
391	C₂²×C₄×C₅	—	4	4	no	—
392	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
398	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
400	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₂²⋊D₅	—	2	4	no	—
404	C₂×C₂²⋊D₅	—	2	4	no	—
405	C₂×C₂²⋊D₅	—	2	8	no	—
406	C₂×C₂²⋊D₅	—	4	4	no	—
407	C₂×C₂²⋊D₅	—	4	4	no	—
408	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
409	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
413	C₂²×Dic₅	—	4	4	no	—
414	C₂²×Dic₅	—	4	2	no	—
415	C₂²×Dic₅	—	4	2	no	—
416	C₂²×Dic₅	C₂⁴	1	2	yes	—
417	C₂²×Dic₅	C₂⁴	1	2	yes	—
418	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	2	yes	—
423	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₅	C₂⁴	1	8	yes	—
425	C₂²×Dic₅	C₂⁴	1	4	yes	—
426	C₂²×Dic₅	C₂⁴	1	4	yes	—
427	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
428	Q₈×D₅	—	2	32	no	—
429	D₄×D₅	—	2	32	no	—
430	#709	—	2	32	no	—
431	C₂×D₂₀	—	2	4	no	—
432	C₂×D₂₀	—	2	4	no	—
433	C₂×D₂₀	—	4	4	no	—
434	C₂×D₂₀	C₂⁴	1	4	yes	—
435	C₂×D₂₀	C₂⁴	1	4	yes	—
436	C₂×D₂₀	C₂⁴	1	8	yes	—
437	C₂×C₄×D₅	—	2	8	no	—
438	C₂×C₄×D₅	—	2	4	no	—
439	C₂×C₄×D₅	—	4	4	no	—
440	C₂×C₄×D₅	—	4	2	no	—
441	C₂×C₄×D₅	—	4	2	no	—
442	C₂×C₄×D₅	—	4	2	no	—
443	C₂×C₄×D₅	—	4	4	no	—
444	C₂×C₄×D₅	—	4	2	no	—
445	C₂×C₄×D₅	#41	1	8	yes	—
446	C₂×C₄×D₅	C₂⁴	1	4	yes	—
447	C₂×C₄×D₅	C₂⁴	1	8	yes	—
448	C₂×C₄×D₅	C₂⁴	1	4	yes	—
449	C₂×C₄×D₅	C₂⁴	1	4	yes	—
450	C₂×C₄×D₅	C₂⁴	1	4	yes	—
451	C₂×C₄×D₅	C₂⁴	1	4	yes	—
452	C₂×C₄×D₅	C₂⁴	1	8	yes	—
453	C₂×C₄×D₅	C₂⁴	1	8	yes	—
454	C₂×C₄×D₅	C₂⁴	1	4	yes	—
455	C₂×Dic₁₀	—	2	4	no	—
456	C₂×Dic₁₀	—	2	4	no	—
457	C₂×Dic₁₀	—	2	8	no	—
458	C₂×Dic₁₀	—	4	4	no	—
459	C₂×Dic₁₀	C₂⁴	1	4	yes	—
460	C₂×Dic₁₀	C₂⁴	1	4	yes	—
461	C₂×Dic₁₀	C₂⁴	1	8	yes	—
462	C₂×Dic₁₀	C₂⁴	1	8	yes	—
463	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
465	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
467	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
468	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
469	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
470	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
471	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
472	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
473	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
474	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
475	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
476	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
477	C₄²×C₅	C₂⁴	1	4	yes	—
478	C₄²×C₅	C₂⁴	1	4	yes	—
479	C₄²×C₅	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
482	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
483	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
484	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
485	#685	C₂⁴	1	4	yes	—
486	#685	C₂⁴	1	4	yes	—
487	#685	C₂⁴	1	8	yes	—
488	#685	C₂⁴	1	8	yes	—
489	#685	C₂⁴	1	4	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	8	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	#685	C₂⁴	1	8	yes	—
500	#685	C₂⁴	1	8	yes	—
501	C₄⋊Dic₅	C₂⁴	1	4	yes	—
502	C₄⋊Dic₅	C₂⁴	1	8	yes	—
503	C₄⋊Dic₅	C₂⁴	1	4	yes	—
504	C₄⋊Dic₅	C₂⁴	1	8	yes	—
505	C₄⋊Dic₅	C₂⁴	1	8	yes	—
506	C₄⋊Dic₅	C₂⁴	1	8	yes	—
507	C₄⋊Dic₅	C₂⁴	1	8	yes	—
508	#683	C₂⁴	1	8	yes	—
509	#683	C₂⁴	1	4	yes	—
510	#683	C₂⁴	1	8	yes	—
511	#683	C₂⁴	1	4	yes	—
512	#683	C₂⁴	1	8	yes	—
513	#683	C₂⁴	1	4	yes	—
514	#683	C₂⁴	1	8	yes	—
515	#683	C₂⁴	1	4	yes	—
516	#683	C₂⁴	1	8	yes	—
517	#683	C₂⁴	1	8	yes	—
518	C₄×Dic₅	C₂⁴	1	8	yes	—
519	C₄×Dic₅	C₂⁴	1	8	yes	—
520	C₄×Dic₅	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	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	4	yes	—
529	C₄×Dic₅	C₂⁴	1	4	yes	—
530	C₄×Dic₅	C₂⁴	1	8	yes	—
531	C₂²×#41	—	5	1	no	—
532	C₂³×Q₈	—	5	1	no	—
533	C₂³×D₄	—	5	1	no	—
534	#559	—	5	32	no	—
535	#559	—	5	32	no	—
536	#556	—	5	32	no	—
537	#556	—	5	32	no	—
538	#551	—	5	32	no	—
539	#551	—	5	32	no	—
540	#551	—	5	32	no	—
541	#551	—	5	32	no	—
542	#542	—	5	16	no	—
543	#542	—	5	16	no	—
544	#542	—	5	16	no	—
545	#542	C₂×D₅	1	16	yes	complemented
546	#536	—	5	16	no	—
547	#535	—	5	16	no	—
548	#533	—	5	16	no	—
549	C₂×C₄⋊Q₈	—	5	2	no	—
550	C₂×C₄⋊Q₈	—	5	1	no	—
551	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
552	C₂×#127	—	5	2	no	—
553	#529	—	5	16	no	—
554	#529	—	5	16	no	—
555	#529	—	5	16	no	—
556	#529	—	5	16	no	—
557	C₂×#126	—	5	2	no	—
558	C₂×#126	—	5	2	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	complemented
565	C₂×#125	—	5	1	no	—
566	C₂×#125	—	5	1	no	—
567	C₂×#124	—	5	1	no	—
568	C₂×#124	—	5	2	no	—
569	C₂×#124	—	5	1	no	—
570	C₂×#124	—	5	16	no	—
571	C₂×#124	—	5	2	no	—
572	C₂×#124	—	5	2	no	—
573	C₂×#124	—	5	2	no	—
574	C₂×#124	—	5	2	no	—
575	C₂×#124	—	5	2	no	—
576	C₂×#124	—	5	2	no	—
577	C₂×#124	—	5	1	no	—
578	C₂×#124	C₂×D₅	1	1	yes	characteristic
579	C₂×#124	C₂×D₅	1	2	yes	complemented
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	2	no	—
587	C₂×#123	—	5	2	no	—
588	C₂×#123	—	5	2	no	—
589	C₂×#123	C₂×D₅	1	2	yes	complemented
590	C₂×C₂²⋊Q₈	—	5	2	no	—
591	C₂×C₂²⋊Q₈	—	5	1	no	—
592	C₂×C₂²⋊Q₈	—	5	2	no	—
593	C₂×C₂²⋊Q₈	—	5	1	no	—
594	C₂×C₂²⋊Q₈	—	5	2	no	—
595	C₂×C₂²⋊Q₈	—	5	2	no	—
596	C₂×C₂²⋊Q₈	—	5	1	no	—
597	C₂×C₂²⋊Q₈	—	5	2	no	—
598	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
599	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
600	C₂×#121	—	5	1	no	—
601	C₂×#121	—	5	1	no	—
602	C₂×#121	—	5	1	no	—
603	C₂×#121	C₂×D₅	1	1	yes	characteristic
604	C₂×#120	—	5	2	no	—
605	C₂×#120	—	5	2	no	—
606	#519	—	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	2	no	—
611	C₂×C₄×Q₈	—	5	1	no	—
612	C₂×C₄×Q₈	—	5	1	no	—
613	C₂×C₄×Q₈	—	5	1	no	—
614	C₂×C₄×Q₈	—	5	2	no	—
615	C₂×C₄×Q₈	—	5	2	no	—
616	C₂×C₄×Q₈	—	5	1	no	—
617	C₂×C₄×Q₈	—	5	2	no	—
618	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
619	C₂×C₄×D₄	—	5	1	no	—
620	C₂×C₄×D₄	—	5	2	no	—
621	C₂×C₄×D₄	—	5	2	no	—
622	C₂×C₄×D₄	—	5	2	no	—
623	C₂×C₄×D₄	—	5	1	no	—
624	C₂×C₄×D₄	—	5	1	no	—
625	C₂×C₄×D₄	—	5	1	no	—
626	C₂×C₄×D₄	—	5	1	no	—
627	C₂×C₄×D₄	—	5	1	no	—
628	C₂×C₄×D₄	—	5	2	no	—
629	C₂×C₄×D₄	—	5	1	no	—
630	C₂×C₄×D₄	—	5	1	no	—
631	C₂×C₄×D₄	—	5	2	no	—
632	C₂×C₄×D₄	—	5	1	no	—
633	C₂×C₄×D₄	—	5	2	no	—
634	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
635	C₂×#117	—	5	2	no	—
636	C₂×#117	—	5	1	no	—
637	C₂×#117	—	5	1	no	—
638	C₂×#117	—	5	2	no	—
639	C₂×#117	—	5	2	no	—
640	C₂×#117	—	5	2	no	—
641	C₂×#117	—	5	1	no	—
642	C₂×#117	—	5	2	no	—
643	C₂×#117	—	5	1	no	—
644	C₂×#117	—	5	2	no	—
645	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
646	C₂²×C₂²⋊C₄	—	5	2	no	—
647	C₂²×C₂²⋊C₄	—	5	2	no	—
648	C₂²×C₂²⋊C₄	—	5	2	no	—
649	C₂²×C₂²⋊C₄	—	5	2	no	—
650	C₂²×C₄²	—	5	1	no	—
651	C₂²×C₄²	—	5	1	no	—
652	C₂²×C₄²	—	5	1	no	—
653	C₂³×C₅	—	2	2	no	—
654	C₂³×C₅	—	2	4	no	—
655	C₂³×C₅	—	2	2	no	—
656	C₂³×C₅	—	2	4	no	—
657	C₂³×C₅	—	2	2	no	—
658	C₂³×C₅	—	2	4	no	—
659	C₂³×C₅	C₂⁵	1	4	yes	—
660	C₂³×C₅	C₂⁵	1	2	yes	—
661	C₂³×C₅	C₂⁵	1	1	yes	characteristic
662	C₂²×D₅	—	2	2	no	—
663	C₂²×D₅	—	2	2	no	—
664	C₂²×D₅	—	2	2	no	—
665	C₂²×D₅	—	2	4	no	—
666	C₂²×D₅	—	2	2	no	—
667	C₂²×D₅	—	2	4	no	—
668	C₂²×D₅	—	2	2	no	—
669	C₂²×D₅	—	2	4	no	—
670	C₂²×D₅	—	2	16	no	—
671	C₂²×D₅	—	4	8	no	—
672	C₂²×D₅	—	4	8	no	—
673	C₂²×D₅	—	8	16	no	—
674	C₂²×D₅	C₂×#41	1	4	yes	—
675	C₂²×D₅	C₂⁵	1	4	yes	—
676	C₂²×D₅	C₂⁵	1	2	yes	—
677	C₂²×D₅	C₂⁵	1	2	yes	—
678	C₅×Q₈	—	2	8	no	—
679	C₅×Q₈	—	4	8	no	—
680	C₅×D₄	—	2	8	no	—
681	C₅×D₄	—	4	8	no	—
682	C₂×C₄×C₅	—	2	4	no	—
683	C₂×C₄×C₅	—	2	2	no	—
684	C₂×C₄×C₅	—	2	2	no	—
685	C₂×C₄×C₅	—	2	2	no	—
686	C₂×C₄×C₅	—	2	2	no	—
687	C₂×C₄×C₅	—	2	4	no	—
688	C₂×C₄×C₅	—	2	2	no	—
689	C₂×C₄×C₅	—	2	4	no	—
690	C₂×C₄×C₅	—	2	8	no	—
691	C₂×C₄×C₅	—	4	8	no	—
692	C₂×C₄×C₅	C₂×#41	1	4	yes	—
693	C₂×C₄×C₅	C₂⁵	1	2	yes	—
694	C₂×C₄×C₅	C₂⁵	1	4	yes	—
695	C₂×C₄×C₅	C₂⁵	1	2	yes	—
696	C₂×C₄×C₅	C₂⁵	1	2	yes	—
697	C₂×C₄×C₅	C₂⁵	1	2	yes	—
698	C₂×C₄×C₅	C₂⁵	1	4	yes	—
699	C₂×C₄×C₅	C₂⁵	1	4	yes	—
700	C₂×C₄×C₅	C₂⁵	1	2	yes	—
701	C₂×C₄×C₅	C₂⁵	1	2	yes	—
702	C₂²⋊D₅	—	2	8	no	—
703	C₂²⋊D₅	—	2	8	no	—
704	C₂²⋊D₅	—	2	16	no	—
705	C₂²⋊D₅	—	4	8	no	—
706	C₂²⋊D₅	—	4	8	no	—
707	C₂×Dic₅	—	2	4	no	—
708	C₂×Dic₅	—	2	2	no	—
709	C₂×Dic₅	—	2	4	no	—
710	C₂×Dic₅	—	2	4	no	—
711	C₂×Dic₅	—	2	2	no	—
712	C₂×Dic₅	—	2	2	no	—
713	C₂×Dic₅	—	2	2	no	—
714	C₂×Dic₅	—	2	2	no	—
715	C₂×Dic₅	—	4	8	no	—
716	C₂×Dic₅	—	4	4	no	—
717	C₂×Dic₅	—	4	4	no	—
718	C₂×Dic₅	C₂×#41	1	4	yes	—
719	C₂×Dic₅	C₂⁵	1	2	yes	—
720	C₂×Dic₅	C₂⁵	1	2	yes	—
721	C₂×Dic₅	C₂⁵	1	2	yes	—
722	C₂×Dic₅	C₂⁵	1	2	yes	—
723	C₂×Dic₅	C₂⁵	1	4	yes	—
724	C₂×Dic₅	C₂⁵	1	2	yes	—
725	C₂×Dic₅	C₂⁵	1	4	yes	—
726	C₂×Dic₅	C₂⁵	1	4	yes	—
727	C₂×Dic₅	C₂⁵	1	2	yes	—
728	D₂₀	—	2	8	no	—
729	D₂₀	—	2	8	no	—
730	D₂₀	—	4	8	no	—
731	C₄×D₅	—	2	16	no	—
732	C₄×D₅	—	2	8	no	—
733	C₄×D₅	—	4	8	no	—
734	C₄×D₅	—	4	4	no	—
735	C₄×D₅	—	4	4	no	—
736	C₄×D₅	—	4	4	no	—
737	C₄×D₅	—	4	8	no	—
738	C₄×D₅	—	4	4	no	—
739	C₄×D₅	C₂×#41	1	16	yes	—
740	Dic₁₀	—	2	8	no	—
741	Dic₁₀	—	2	8	no	—
742	Dic₁₀	—	2	16	no	—
743	Dic₁₀	—	4	8	no	—
744	C₂⁵	—	5	2	no	—
745	C₂×#41	—	5	8	no	—
746	C₂×#41	—	10	8	no	—
747	C₂²×Q₈	—	5	8	no	—
748	C₂²×Q₈	—	5	1	no	—
749	C₂²×Q₈	—	5	2	no	—
750	C₂²×Q₈	—	5	1	no	—
751	C₂²×Q₈	—	5	2	no	—
752	C₂²×Q₈	—	10	8	no	—
753	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
754	C₂²×Q₈	C₂²×D₅	1	2	yes	—
755	C₂²×D₄	—	5	1	no	—
756	C₂²×D₄	—	5	2	no	—
757	C₂²×D₄	—	5	1	no	—
758	C₂²×D₄	—	5	2	no	—
759	C₂²×D₄	—	5	2	no	—
760	C₂²×D₄	—	5	8	no	—
761	C₂²×D₄	—	5	1	no	—
762	C₂²×D₄	—	5	1	no	—
763	C₂²×D₄	—	5	2	no	—
764	C₂²×D₄	—	10	8	no	—
765	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
766	C₂²×D₄	C₂²×D₅	1	2	yes	—
767	C₂³×C₄	—	5	1	no	—
768	C₂³×C₄	—	5	2	no	—
769	C₂³×C₄	—	5	1	no	—
770	C₂³×C₄	—	5	1	no	—
771	C₂³×C₄	—	5	2	no	—
772	C₂³×C₄	—	5	1	no	—
773	C₂³×C₄	—	5	1	no	—
774	C₂³×C₄	—	5	1	no	—
775	C₂³×C₄	—	5	2	no	—
776	C₂³×C₄	—	5	2	no	—
777	C₂³×C₄	—	5	1	no	—
778	C₂³×C₄	—	5	1	no	—
779	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
780	C₂³×C₄	C₂²×D₅	1	2	yes	—
781	C₄⋊Q₈	—	5	16	no	—
782	C₄⋊Q₈	—	5	8	no	—
783	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
784	#127	—	5	16	no	—
785	#126	—	5	16	no	—
786	#126	—	5	16	no	—
787	#126	—	5	16	no	—
788	#126	—	5	16	no	—
789	#126	—	5	16	no	—
790	#126	—	5	16	no	—
791	#126	—	5	16	no	—
792	#126	C₂²×D₅	1	16	yes	complemented
793	#125	—	5	8	no	—
794	#125	—	5	8	no	—
795	#124	—	5	8	no	—
796	#124	—	5	16	no	—
797	#124	—	5	8	no	—
798	#124	—	5	16	no	—
799	#124	—	5	16	no	—
800	#124	—	5	16	no	—
801	#124	—	5	16	no	—
802	#124	—	5	16	no	—
803	#124	—	5	16	no	—
804	#124	—	5	8	no	—
805	#124	C₂²×D₅	1	8	yes	—
806	#124	C₂²×D₅	1	16	yes	complemented
807	#123	—	5	16	no	—
808	#123	—	5	16	no	—
809	#123	—	5	16	no	—
810	#123	—	5	16	no	—
811	#123	—	5	16	no	—
812	#123	—	5	16	no	—
813	#123	—	5	16	no	—
814	#123	—	5	16	no	—
815	#123	—	5	16	no	—
816	#123	C₂²×D₅	1	16	yes	complemented
817	C₂²⋊Q₈	—	5	8	no	—
818	C₂²⋊Q₈	—	5	16	no	—
819	C₂²⋊Q₈	—	5	16	no	—
820	C₂²⋊Q₈	—	5	8	no	—
821	C₂²⋊Q₈	—	5	8	no	—
822	C₂²⋊Q₈	—	5	16	no	—
823	C₂²⋊Q₈	—	5	16	no	—
824	C₂²⋊Q₈	—	5	16	no	—
825	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
826	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
827	#121	—	5	8	no	—
828	#121	—	5	8	no	—
829	#121	—	5	8	no	—
830	#121	C₂²×D₅	1	8	yes	—
831	#120	—	5	16	no	—
832	#120	—	5	16	no	—
833	C₄×Q₈	—	5	8	no	—
834	C₄×Q₈	—	5	16	no	—
835	C₄×Q₈	—	5	8	no	—
836	C₄×Q₈	—	5	8	no	—
837	C₄×Q₈	—	5	8	no	—
838	C₄×Q₈	—	5	16	no	—
839	C₄×Q₈	—	5	16	no	—
840	C₄×Q₈	—	5	8	no	—
841	C₄×Q₈	—	5	16	no	—
842	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
843	C₄×D₄	—	5	8	no	—
844	C₄×D₄	—	5	16	no	—
845	C₄×D₄	—	5	16	no	—
846	C₄×D₄	—	5	16	no	—
847	C₄×D₄	—	5	8	no	—
848	C₄×D₄	—	5	8	no	—
849	C₄×D₄	—	5	8	no	—
850	C₄×D₄	—	5	8	no	—
851	C₄×D₄	—	5	8	no	—
852	C₄×D₄	—	5	8	no	—
853	C₄×D₄	—	5	8	no	—
854	C₄×D₄	—	5	16	no	—
855	C₄×D₄	—	5	16	no	—
856	C₄×D₄	—	5	8	no	—
857	C₄×D₄	—	5	16	no	—
858	C₄×D₄	C₂²×D₅	1	8	yes	—
859	#117	—	5	16	no	—
860	#117	—	5	8	no	—
861	#117	—	5	8	no	—
862	#117	—	5	16	no	—
863	#117	—	5	16	no	—
864	#117	—	5	16	no	—
865	#117	—	5	8	no	—
866	#117	—	5	8	no	—
867	#117	—	5	16	no	—
868	#117	—	5	16	no	—
869	#117	C₂²×D₅	1	8	yes	complemented
870	C₂×C₄⋊C₄	—	5	2	no	—
871	C₂×C₄⋊C₄	—	5	2	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	1	no	—
876	C₂×C₄⋊C₄	—	5	1	no	—
877	C₂×C₄⋊C₄	—	5	1	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	2	no	—
882	C₂×C₄⋊C₄	—	5	2	no	—
883	C₂×C₄⋊C₄	—	5	2	no	—
884	C₂×C₄⋊C₄	—	5	2	no	—
885	C₂×C₄⋊C₄	—	5	2	no	—
886	C₂×C₄⋊C₄	—	5	2	no	—
887	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	2	yes	—
894	C₂×C₂²⋊C₄	—	5	2	no	—
895	C₂×C₂²⋊C₄	—	5	2	no	—
896	C₂×C₂²⋊C₄	—	5	2	no	—
897	C₂×C₂²⋊C₄	—	5	2	no	—
898	C₂×C₂²⋊C₄	—	5	2	no	—
899	C₂×C₂²⋊C₄	—	5	1	no	—
900	C₂×C₂²⋊C₄	—	5	1	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	16	no	—
907	C₂×C₂²⋊C₄	—	5	2	no	—
908	C₂×C₂²⋊C₄	—	5	2	no	—
909	C₂×C₂²⋊C₄	—	5	2	no	—
910	C₂×C₂²⋊C₄	—	5	1	no	—
911	C₂×C₂²⋊C₄	—	5	1	no	—
912	C₂×C₂²⋊C₄	—	5	2	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	16	no	—
917	C₂×C₂²⋊C₄	—	5	16	no	—
918	C₂×C₂²⋊C₄	—	5	16	no	—
919	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
920	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
921	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
922	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
923	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
926	C₂×C₄²	—	5	1	no	—
927	C₂×C₄²	—	5	2	no	—
928	C₂×C₄²	—	5	2	no	—
929	C₂×C₄²	—	5	2	no	—
930	C₂×C₄²	—	5	1	no	—
931	C₂×C₄²	—	5	1	no	—
932	C₂×C₄²	—	5	1	no	—
933	C₂×C₄²	—	5	1	no	—
934	C₂×C₄²	—	5	2	no	—
935	C₂×C₄²	—	5	2	no	—
936	C₂×C₄²	—	5	1	no	—
937	C₂×C₄²	—	5	1	no	—
938	C₂×C₄²	—	5	8	no	—
939	C₂×C₄²	—	5	1	no	—
940	C₂×C₄²	—	5	8	no	—
941	C₂×C₄²	—	5	8	no	—
942	C₂×C₄²	C₂²×D₅	1	2	yes	—
943	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
944	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
945	C₂²×C₅	—	2	2	no	—
946	C₂²×C₅	—	2	4	no	—
947	C₂²×C₅	—	2	2	no	—
948	C₂²×C₅	—	2	4	no	—
949	C₂²×C₅	—	2	2	no	—
950	C₂²×C₅	—	2	4	no	—
951	C₂²×C₅	—	4	8	no	—
952	C₂²×C₅	—	4	4	no	—
953	C₂²×C₅	C₂²×#41	1	2	yes	—
954	C₂²×C₅	#585	1	2	yes	—
955	C₂²×C₅	#585	1	2	yes	—
956	C₂²×C₅	C₂⁶	1	1	yes	characteristic
957	C₂×D₅	—	2	2	no	—
958	C₂×D₅	—	2	2	no	—
959	C₂×D₅	—	2	8	no	—
960	C₂×D₅	—	2	2	no	—
961	C₂×D₅	—	2	4	no	—
962	C₂×D₅	—	2	2	no	—
963	C₂×D₅	—	2	4	no	—
964	C₂×D₅	—	2	2	no	—
965	C₂×D₅	—	2	4	no	—
966	C₂×D₅	—	4	4	no	—
967	C₂×D₅	—	4	8	no	—
968	C₂×D₅	—	8	16	no	—
969	C₂×D₅	C₂²×#41	1	4	yes	—
970	C₄×C₅	—	2	4	no	—
971	C₄×C₅	—	2	2	no	—
972	C₄×C₅	—	2	2	no	—
973	C₄×C₅	—	2	2	no	—
974	C₄×C₅	—	2	2	no	—
975	C₄×C₅	—	2	4	no	—
976	C₄×C₅	—	2	2	no	—
977	C₄×C₅	—	2	4	no	—
978	C₄×C₅	C₂²×#41	1	4	yes	—
979	Dic₅	—	2	4	no	—
980	Dic₅	—	2	2	no	—
981	Dic₅	—	2	4	no	—
982	Dic₅	—	2	4	no	—
983	Dic₅	—	2	2	no	—
984	Dic₅	—	2	2	no	—
985	Dic₅	—	2	2	no	—
986	Dic₅	—	2	2	no	—
987	Dic₅	C₂²×#41	1	4	yes	—
988	C₂⁴	—	5	1	no	—
989	C₂⁴	—	5	2	no	—
990	C₂⁴	—	5	1	no	—
991	C₂⁴	—	5	8	no	—
992	C₂⁴	—	10	8	no	—
993	C₂⁴	—	20	4	no	—
994	C₂⁴	—	20	4	no	—
995	C₂⁴	C₂³×D₅	1	2	yes	—
996	C₂⁴	C₂³×D₅	1	1	yes	characteristic
997	#41	—	10	32	no	—
998	C₂×Q₈	—	2	4	no	—
999	C₂×Q₈	—	4	4	no	—
1000	C₂×Q₈	—	5	4	no	—
1001	C₂×Q₈	—	5	8	no	—
1002	C₂×Q₈	—	5	4	no	—
1003	C₂×Q₈	—	5	8	no	—
1004	C₂×Q₈	—	10	8	no	—
1005	C₂×Q₈	—	10	4	no	—
1006	C₂×Q₈	—	10	32	no	—
1007	C₂×Q₈	—	10	4	no	—
1008	C₂×Q₈	—	20	4	no	—
1009	C₂×Q₈	C₂³×D₅	1	4	yes	—
1010	C₂×Q₈	C₂³×D₅	1	8	yes	—
1011	C₂×D₄	—	2	4	no	—
1012	C₂×D₄	—	4	4	no	—
1013	C₂×D₄	—	5	4	no	—
1014	C₂×D₄	—	5	8	no	—
1015	C₂×D₄	—	5	4	no	—
1016	C₂×D₄	—	5	8	no	—
1017	C₂×D₄	—	5	8	no	—
1018	C₂×D₄	—	5	4	no	—
1019	C₂×D₄	—	5	4	no	—
1020	C₂×D₄	—	5	8	no	—
1021	C₂×D₄	—	10	4	no	—
1022	C₂×D₄	—	10	32	no	—
1023	C₂×D₄	—	10	8	no	—
1024	C₂×D₄	—	10	4	no	—
1025	C₂×D₄	—	10	4	no	—
1026	C₂×D₄	—	10	4	no	—
1027	C₂×D₄	—	20	4	no	—
1028	C₂×D₄	—	20	4	no	—
1029	C₂×D₄	—	20	4	no	—
1030	C₂×D₄	C₂³×D₅	1	4	yes	—
1031	C₂×D₄	C₂³×D₅	1	8	yes	—
1032	C₂²×C₄	—	2	4	no	—
1033	C₂²×C₄	—	4	4	no	—
1034	C₂²×C₄	—	5	1	no	—
1035	C₂²×C₄	—	5	8	no	—
1036	C₂²×C₄	—	5	4	no	—
1037	C₂²×C₄	—	5	1	no	—
1038	C₂²×C₄	—	5	1	no	—
1039	C₂²×C₄	—	5	1	no	—
1040	C₂²×C₄	—	5	1	no	—
1041	C₂²×C₄	—	5	2	no	—
1042	C₂²×C₄	—	5	2	no	—
1043	C₂²×C₄	—	5	1	no	—
1044	C₂²×C₄	—	5	2	no	—
1045	C₂²×C₄	—	5	4	no	—
1046	C₂²×C₄	—	5	4	no	—
1047	C₂²×C₄	—	5	8	no	—
1048	C₂²×C₄	—	5	4	no	—
1049	C₂²×C₄	—	5	8	no	—
1050	C₂²×C₄	—	5	4	no	—
1051	C₂²×C₄	—	5	4	no	—
1052	C₂²×C₄	—	5	4	no	—
1053	C₂²×C₄	—	5	4	no	—
1054	C₂²×C₄	—	5	8	no	—
1055	C₂²×C₄	—	5	8	no	—
1056	C₂²×C₄	—	10	8	no	—
1057	C₂²×C₄	—	10	4	no	—
1058	C₂²×C₄	—	20	2	no	—
1059	C₂²×C₄	—	20	4	no	—
1060	C₂²×C₄	—	20	2	no	—
1061	C₂²×C₄	—	20	2	no	—
1062	C₂²×C₄	—	20	4	no	—
1063	C₂²×C₄	—	20	2	no	—
1064	C₂²×C₄	—	20	2	no	—
1065	C₂²×C₄	—	20	2	no	—
1066	C₂²×C₄	—	20	4	no	—
1067	C₂²×C₄	C₂³×D₅	1	4	yes	—
1068	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₅	1	2	yes	—
1070	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₅	1	2	yes	—
1074	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₅	1	2	yes	—
1076	C₂²×C₄	C₂³×D₅	1	8	yes	—
1077	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
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	4	no	—
1085	C₄⋊C₄	—	5	4	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	8	no	—
1091	C₄⋊C₄	—	5	8	no	—
1092	C₄⋊C₄	—	5	8	no	—
1093	C₄⋊C₄	—	5	8	no	—
1094	C₄⋊C₄	—	5	8	no	—
1095	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1096	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1097	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1098	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1099	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1100	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1101	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1102	C₂²⋊C₄	—	5	8	no	—
1103	C₂²⋊C₄	—	5	8	no	—
1104	C₂²⋊C₄	—	5	8	no	—
1105	C₂²⋊C₄	—	5	8	no	—
1106	C₂²⋊C₄	—	5	8	no	—
1107	C₂²⋊C₄	—	5	4	no	—
1108	C₂²⋊C₄	—	5	4	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	8	no	—
1114	C₂²⋊C₄	—	5	8	no	—
1115	C₂²⋊C₄	—	5	8	no	—
1116	C₂²⋊C₄	—	5	8	no	—
1117	C₂²⋊C₄	—	5	4	no	—
1118	C₂²⋊C₄	—	5	4	no	—
1119	C₂²⋊C₄	—	5	8	no	—
1120	C₂²⋊C₄	—	5	8	no	—
1121	C₂²⋊C₄	—	5	8	no	—
1122	C₂²⋊C₄	—	5	8	no	—
1123	C₂²⋊C₄	C₂³×D₅	1	8	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	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1129	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1130	C₄²	—	5	4	no	—
1131	C₄²	—	5	4	no	—
1132	C₄²	—	5	4	no	—
1133	C₄²	—	5	4	no	—
1134	C₄²	—	5	4	no	—
1135	C₄²	—	5	4	no	—
1136	C₄²	—	5	4	no	—
1137	C₄²	—	5	4	no	—
1138	C₄²	—	5	8	no	—
1139	C₄²	—	5	8	no	—
1140	C₄²	—	5	8	no	—
1141	C₄²	—	5	8	no	—
1142	C₄²	—	5	8	no	—
1143	C₄²	C₂³×D₅	1	4	yes	—
1144	C₄²	C₂³×D₅	1	4	yes	—
1145	C₄²	C₂³×D₅	1	8	yes	—
1146	C₂×C₅	—	4	4	no	—
1147	C₂×C₅	—	4	2	no	—
1148	C₂×C₅	#3510	1	4	yes	complemented
1149	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1150	C₂×C₅	C₂×#585	1	1	yes	characteristic
1151	C₂×C₅	C₂×#585	1	1	yes	characteristic
1152	D₅	—	2	4	no	—
1153	D₅	—	4	2	no	—
1154	D₅	—	4	4	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	2	4	no	—
1157	C₂³	—	2	4	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	4	no	—
1161	C₂³	—	5	4	no	—
1162	C₂³	—	5	2	no	—
1163	C₂³	—	5	4	no	—
1164	C₂³	—	5	2	no	—
1165	C₂³	—	10	16	no	—
1166	C₂³	—	10	2	no	—
1167	C₂³	—	10	2	no	—
1168	C₂³	—	10	2	no	—
1169	C₂³	—	10	4	no	—
1170	C₂³	—	10	2	no	—
1171	C₂³	—	10	4	no	—
1172	C₂³	—	10	2	no	—
1173	C₂³	—	10	4	no	—
1174	C₂³	—	20	8	no	—
1175	C₂³	—	20	8	no	—
1176	C₂³	—	40	16	no	—
1177	C₂³	C₂⁴×D₅	1	4	yes	—
1178	C₂³	C₂⁴×D₅	1	2	yes	—
1179	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1180	Q₈	—	2	8	no	—
1181	Q₈	—	4	8	no	—
1182	Q₈	—	10	16	no	—
1183	Q₈	—	10	8	no	—
1184	Q₈	—	10	8	no	—
1185	Q₈	—	20	8	no	—
1186	D₄	—	2	8	no	—
1187	D₄	—	4	8	no	—
1188	D₄	—	10	8	no	—
1189	D₄	—	10	16	no	—
1190	D₄	—	10	8	no	—
1191	D₄	—	10	8	no	—
1192	D₄	—	10	8	no	—
1193	D₄	—	20	8	no	—
1194	D₄	—	20	8	no	—
1195	D₄	—	20	8	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	4	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	4	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	8	no	—
1205	C₂×C₄	—	4	8	no	—
1206	C₂×C₄	—	5	4	no	—
1207	C₂×C₄	—	5	2	no	—
1208	C₂×C₄	—	5	16	no	—
1209	C₂×C₄	—	5	2	no	—
1210	C₂×C₄	—	5	2	no	—
1211	C₂×C₄	—	5	2	no	—
1212	C₂×C₄	—	5	2	no	—
1213	C₂×C₄	—	5	4	no	—
1214	C₂×C₄	—	5	4	no	—
1215	C₂×C₄	—	5	2	no	—
1216	C₂×C₄	—	5	4	no	—
1217	C₂×C₄	—	10	16	no	—
1218	C₂×C₄	—	10	2	no	—
1219	C₂×C₄	—	10	4	no	—
1220	C₂×C₄	—	10	2	no	—
1221	C₂×C₄	—	10	2	no	—
1222	C₂×C₄	—	10	2	no	—
1223	C₂×C₄	—	10	2	no	—
1224	C₂×C₄	—	10	4	no	—
1225	C₂×C₄	—	10	4	no	—
1226	C₂×C₄	—	10	8	no	—
1227	C₂×C₄	—	20	4	no	—
1228	C₂×C₄	—	20	8	no	—
1229	C₂×C₄	—	20	4	no	—
1230	C₂×C₄	—	20	4	no	—
1231	C₂×C₄	—	20	8	no	—
1232	C₂×C₄	—	20	4	no	—
1233	C₂×C₄	—	20	4	no	—
1234	C₂×C₄	—	20	4	no	—
1235	C₂×C₄	—	20	8	no	—
1236	C₂×C₄	D₅×#41	1	4	yes	—
1237	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1238	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1239	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1240	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1241	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1242	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1243	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1244	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1245	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1246	C₅	C₂×#3510	1	1	yes	characteristic, complemented, Sylow
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	4	no	—
1249	C₂²	—	2	4	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	2	4	no	—
1253	C₂²	—	4	8	no	—
1254	C₂²	—	4	4	no	—
1255	C₂²	—	5	4	no	—
1256	C₂²	—	10	2	no	—
1257	C₂²	—	10	2	no	—
1258	C₂²	—	10	8	no	—
1259	C₂²	—	10	2	no	—
1260	C₂²	—	10	4	no	—
1261	C₂²	—	10	2	no	—
1262	C₂²	—	10	4	no	—
1263	C₂²	—	10	2	no	—
1264	C₂²	—	10	4	no	—
1265	C₂²	—	20	8	no	—
1266	C₂²	—	20	4	no	—
1267	C₂²	—	40	16	no	—
1268	C₂²	C₂×D₅×#41	1	2	yes	—
1269	C₂²	#66285	1	2	yes	—
1270	C₂²	#66287	1	2	yes	—
1271	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1272	C₄	—	2	2	no	—
1273	C₄	—	2	4	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	2	4	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	4	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	2	no	—
1280	C₄	—	5	4	no	—
1281	C₄	—	10	2	no	—
1282	C₄	—	10	4	no	—
1283	C₄	—	10	2	no	—
1284	C₄	—	10	2	no	—
1285	C₄	—	10	2	no	—
1286	C₄	—	10	2	no	—
1287	C₄	—	10	4	no	—
1288	C₄	—	10	4	no	—
1289	C₄	C₂×D₅×#41	1	4	yes	—
1290	C₂	—	4	4	no	—
1291	C₂	—	4	2	no	—
1292	C₂	—	10	4	no	—
1293	C₂	—	20	4	no	—
1294	C₂	—	20	2	no	—
1295	C₂	#10618453	1	4	yes	direct product factor
1296	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1297	C₂	C₂×#66285	1	1	yes	characteristic
1298	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×#542	C₂
socle	C₂³×C₅	C₂⁵
prime radical	C₂×#65941	C₂
hypercenter	C₂×#542	D₅
hypocenter	C₅	C₂×#3510
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#542	C₂	semidirect
2. #10618453	C₂	direct (N × H)
3. C₂×#66067	C₂	semidirect
4. C₂×#66062	C₂	semidirect
5. C₂×#66039	C₂	semidirect
6. C₂×#66036	C₂	semidirect
7. C₂×#66013	C₂	semidirect
8. C₂×#66016	C₂	semidirect
9. C₂×D₅×#124	C₂	semidirect
10. C₂×#66015	C₂	semidirect
11. C₂×#65992	C₂	semidirect
12. C₂×#65998	C₂	semidirect
13. C₂×#65971	C₂	semidirect
14. C₂×#65962	C₂	semidirect
15. C₂×#65975	C₂	semidirect
16. C₂×#65958	C₂	semidirect
18. C₂×#65934	C₂	semidirect
19. C₂×#65914	C₂	semidirect
20. C₂×#65906	C₂	semidirect
21. C₂×#65891	C₂	semidirect
22. C₂×#65879	C₂	semidirect
23. C₂×#65868	C₂	semidirect
24. C₂×#65856	C₂	semidirect
28. C₅×#542	C₂²	semidirect
29. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
30. C₂×C₅×#126	C₂²	semidirect
32. C₂×C₅×#124	C₂²	semidirect
33. C₂×C₅×#123	C₂²	semidirect
34. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₄×C₅×Q₈	C₂²	semidirect
39. C₂×C₅×#117	C₂²	semidirect
41. C₂×#4093	C₂²	semidirect
43. C₂×#4092	C₂²	semidirect
44. C₂×#4092	C₂²	semidirect
45. C₂×Q₈×Dic₅	C₂²	semidirect
46. C₂×Q₈×Dic₅	C₂²	semidirect
51. C₂×#4081	C₂²	semidirect
53. C₂×D₄×Dic₅	C₂²	semidirect
56. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
58. C₂×#4072	C₂²	semidirect
59. C₂×#4070	C₂²	semidirect
60. C₂²×C₄×Dic₅	C₂²	semidirect
61. #66067	C₂²	semidirect
62. #66062	C₂²	semidirect
63. #66039	C₂²	semidirect
64. #66036	C₂²	semidirect
65. #66016	C₂²	semidirect
66. #66015	C₂²	semidirect
67. #66013	C₂²	semidirect
68. D₅×#124	C₂²	semidirect
69. #65998	C₂²	semidirect
70. #65992	C₂²	semidirect
71. #65975	C₂²	semidirect
72. #65971	C₂²	semidirect
73. #65962	C₂²	semidirect
74. #65958	C₂²	semidirect
76. #65934	C₂²	semidirect
77. #65914	C₂²	semidirect
78. #65906	C₂²	semidirect
79. #65891	C₂²	semidirect
80. #65879	C₂²	semidirect
81. #65868	C₂²	semidirect
82. #65856	C₂²	semidirect
83. C₂×#4044	C₂²	semidirect
84. C₂×#4044	C₂²	semidirect
85. C₂×#4044	C₂²	semidirect
86. C₂×#4044	C₂²	semidirect
88. C₂×#4043	C₂²	semidirect
89. C₂×#4042	C₂²	semidirect
92. C₂×#4040	C₂²	semidirect
93. C₂×#4040	C₂²	semidirect
100. C₂×#4038	C₂²	semidirect
101. C₂×#4036	C₂²	semidirect
102. C₂×#4036	C₂²	semidirect
103. C₂×#4034	C₂²	semidirect
104. C₂×#4033	C₂²	semidirect
105. C₂×#4033	C₂²	semidirect
106. C₂×#4033	C₂²	semidirect
107. C₂×#4033	C₂²	semidirect
108. C₂×#4033	C₂²	semidirect
109. C₂×#4032	C₂²	semidirect
110. C₂×#4032	C₂²	semidirect
114. C₂×#4031	C₂²	semidirect
115. C₂×#4031	C₂²	semidirect
116. C₂×#4031	C₂²	semidirect
118. C₂×#4029	C₂²	semidirect
119. C₂×#4029	C₂²	semidirect
124. C₂×#4027	C₂²	semidirect
125. C₂×#4027	C₂²	semidirect
126. C₂×#4027	C₂²	semidirect
130. C₂×#4025	C₂²	semidirect
131. C₂×#4025	C₂²	semidirect
132. C₂×#4025	C₂²	semidirect
133. C₂×#4024	C₂²	semidirect
134. C₂×#4023	C₂²	semidirect
137. C₂×C₄×D₂₀	C₂²	semidirect
140. C₂×#4018	C₂²	semidirect
141. C₂×#4018	C₂²	semidirect
143. C₂×C₄²×D₅	C₂²	semidirect
144. C₂×#4015	C₂²	semidirect
145. C₂×C₄×Dic₁₀	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
185. C₅×C₄⋊Q₈	C₂³	semidirect
186. C₅×#126	C₂³	semidirect
188. C₅×#124	C₂³	semidirect
189. C₅×#123	C₂³	semidirect
190. C₅×C₂²⋊Q₈	C₂³	semidirect
191. C₅×C₂²⋊Q₈	C₂³	semidirect
193. C₄×C₅×Q₈	C₂³	semidirect
195. C₅×#117	C₂³	semidirect
219. #4093	C₂³	semidirect
221. #4092	C₂³	semidirect
222. #4092	C₂³	semidirect
223. Q₈×Dic₅	C₂³	semidirect
224. Q₈×Dic₅	C₂³	semidirect
229. #4081	C₂³	semidirect
231. D₄×Dic₅	C₂³	semidirect
234. C₄×C₂²⋊D₅	C₂³	semidirect
252. #4072	C₂³	semidirect
260. #4070	C₂³	semidirect
284. C₂×C₄×Dic₅	C₂³	semidirect
285. #4044	C₂³	semidirect
286. #4044	C₂³	semidirect
287. #4044	C₂³	semidirect
288. #4044	C₂³	semidirect
290. #4043	C₂³	semidirect
291. #4042	C₂³	semidirect
294. #4040	C₂³	semidirect
295. #4040	C₂³	semidirect
302. #4038	C₂³	semidirect
303. #4036	C₂³	semidirect
304. #4036	C₂³	semidirect
305. #4034	C₂³	semidirect
306. #4033	C₂³	semidirect
307. #4033	C₂³	semidirect
308. #4033	C₂³	semidirect
309. #4033	C₂³	semidirect
310. #4033	C₂³	semidirect
311. #4032	C₂³	semidirect
312. #4032	C₂³	semidirect
316. #4031	C₂³	semidirect
317. #4031	C₂³	semidirect
318. #4031	C₂³	semidirect
320. #4029	C₂³	semidirect
321. #4029	C₂³	semidirect
326. #4027	C₂³	semidirect
327. #4027	C₂³	semidirect
328. #4027	C₂³	semidirect
332. #4025	C₂³	semidirect
333. #4025	C₂³	semidirect
334. #4025	C₂³	semidirect
335. #4024	C₂³	semidirect
336. #4023	C₂³	semidirect
339. C₄×D₂₀	C₂³	semidirect
342. #4018	C₂³	semidirect
343. #4018	C₂³	semidirect
345. C₄²×D₅	C₂³	semidirect
346. #4015	C₂³	semidirect
347. C₄×Dic₁₀	C₂³	semidirect
348. C₄×Dic₁₀	C₂³	semidirect
361. C₂×#542	D₅	semidirect
545. #542	C₂×D₅	semidirect
551. C₂×C₄⋊Q₈	C₂×D₅	semidirect
564. C₂×#126	C₂×D₅	semidirect
579. C₂×#124	C₂×D₅	semidirect
589. C₂×#123	C₂×D₅	semidirect
598. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
599. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
618. C₂×C₄×Q₈	C₂×D₅	semidirect
645. C₂×#117	C₂×D₅	semidirect
783. C₄⋊Q₈	C₂²×D₅	semidirect
792. #126	C₂²×D₅	semidirect
806. #124	C₂²×D₅	semidirect
816. #123	C₂²×D₅	semidirect
825. C₂²⋊Q₈	C₂²×D₅	semidirect
826. C₂²⋊Q₈	C₂²×D₅	semidirect
842. C₄×Q₈	C₂²×D₅	semidirect
869. #117	C₂²×D₅	semidirect
1148. C₂×C₅	#3510	semidirect
1246. C₅	C₂×#3510	semidirect
1295. C₂	#10618453	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×#542	2
#10618453	2
C₂×#66067	2
C₂×#66062	2
C₂×#66039	2
C₂×#66036	2
C₂×#66013	2
C₂×#66016	2
C₂×D₅×#124	2
C₂×#66015	2
C₂×#65992	2
C₂×#65998	2
C₂×#65971	2
C₂×#65962	2
C₂×#65975	2
C₂×#65958	2
C₂×#65941	2
C₂×#65934	2
C₂×#65914	2
C₂×#65906	2
C₂×#65891	2
C₂×#65879	2
C₂×#65868	2
C₂×#65856	2
C₂×#3510	5

Subgroups — C2×#10618453 #13007789

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618453 #13007789