Subgroups — C₂×#10618953 #13007787

Order 1280.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#559	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618953	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66049	C₂	1	1	yes	maximal, characteristic
4	C₂×#66047	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66013	C₂	1	2	yes	maximal, complemented
6	C₂×#66009	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66015	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66005	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66003	C₂	1	2	yes	maximal, complemented
11	C₂×#65993	C₂	1	2	yes	maximal, complemented
12	C₂×#65992	C₂	1	2	yes	maximal, complemented
13	C₂×#65996	C₂	1	2	yes	maximal, complemented
14	C₂×#65983	C₂	1	2	yes	maximal, complemented
15	C₂×#65912	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65906	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65902	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65918	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65890	C₂	1	2	yes	maximal, complemented
20	C₂×#65879	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65893	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65876	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65872	C₂	1	2	yes	maximal, complemented
24	C₂×C₄×#711	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
26	C₂²×#711	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
28	C₅×#559	C₂²	1	16	yes	complemented
29	C₂×C₅×#127	C₂²	1	1	yes	characteristic
30	C₂×C₅×#124	C₂²	1	1	yes	characteristic
31	C₂×C₅×#124	C₂²	1	2	yes	complemented
32	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₅×#123	C₂²	1	2	yes	complemented
34	C₂×C₅×#123	C₂²	1	2	yes	complemented
35	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₂×#4093	C₂²	1	1	yes	characteristic
41	C₂×#4092	C₂²	1	1	yes	characteristic
42	C₂×#4092	C₂²	1	2	yes	complemented
43	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4086	C₂²	1	1	yes	characteristic
47	C₂×#4085	C₂²	1	2	yes	—
48	C₂×#4085	C₂²	1	2	yes	—
49	C₂×#4083	C₂²	1	2	yes	—
50	C₂×#4083	C₂²	1	2	yes	—
51	C₂×#4082	C₂²	1	1	yes	characteristic
52	C₂×#4082	C₂²	1	1	yes	characteristic
53	C₂×#4082	C₂²	1	2	yes	complemented
54	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
55	C₂×#4081	C₂²	1	2	yes	complemented
56	C₂×#4081	C₂²	1	2	yes	complemented
57	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
58	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
59	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
60	C₂×#4075	C₂²	1	2	yes	complemented
61	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
62	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	—
63	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
64	C₂²×#685	C₂²	1	2	yes	—
65	C₂×#4072	C₂²	1	2	yes	complemented
66	C₂×#4070	C₂²	1	2	yes	complemented
67	C₂²×C₄×Dic₅	C₂²	1	2	yes	complemented
68	#66049	C₂²	1	16	yes	—
69	#66047	C₂²	1	16	yes	complemented
70	#66015	C₂²	1	16	yes	complemented
71	#66013	C₂²	1	32	yes	complemented
72	#66009	C₂²	1	16	yes	complemented
73	D₅×#124	C₂²	1	16	yes	complemented
74	#66005	C₂²	1	16	yes	complemented
75	#66003	C₂²	1	32	yes	complemented
76	#65996	C₂²	1	32	yes	complemented
77	#65993	C₂²	1	32	yes	complemented
78	#65992	C₂²	1	32	yes	complemented
79	#65983	C₂²	1	32	yes	complemented
80	#65918	C₂²	1	16	yes	complemented
81	#65912	C₂²	1	16	yes	complemented
82	#65906	C₂²	1	16	yes	complemented
83	#65902	C₂²	1	16	yes	complemented
84	#65893	C₂²	1	16	yes	complemented
85	#65890	C₂²	1	32	yes	complemented
86	#65879	C₂²	1	16	yes	complemented
87	#65876	C₂²	1	16	yes	complemented
88	#65872	C₂²	1	32	yes	complemented
89	C₄×#711	C₂²	1	16	yes	complemented
90	C₂×#4044	C₂²	1	2	yes	complemented
91	C₂×#4044	C₂²	1	2	yes	complemented
92	C₂×#4044	C₂²	1	2	yes	complemented
93	C₂×#4043	C₂²	1	1	yes	characteristic
94	C₂×#4042	C₂²	1	1	yes	characteristic
95	C₂×#4042	C₂²	1	1	yes	characteristic
96	C₂×#4042	C₂²	1	2	yes	complemented
97	C₂×#4039	C₂²	1	1	yes	characteristic
98	C₂×#4038	C₂²	1	1	yes	characteristic
99	C₂×#4038	C₂²	1	2	yes	—
100	C₂×#4038	C₂²	1	2	yes	complemented
101	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
102	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
103	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
104	C₂×#4033	C₂²	1	2	yes	complemented
105	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
106	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
107	C₂×#4032	C₂²	1	2	yes	complemented
108	C₂×#4031	C₂²	1	2	yes	—
109	C₂×#4031	C₂²	1	2	yes	—
110	C₂×#4031	C₂²	1	2	yes	complemented
111	C₂×#4031	C₂²	1	2	yes	complemented
112	C₂×#4029	C₂²	1	2	yes	—
113	C₂×#4029	C₂²	1	2	yes	—
114	C₂×#4029	C₂²	1	2	yes	complemented
115	C₂×#4029	C₂²	1	2	yes	complemented
116	C₂×#4027	C₂²	1	2	yes	—
117	C₂×#4027	C₂²	1	2	yes	—
118	C₂×#4027	C₂²	1	2	yes	complemented
119	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₂×#4025	C₂²	1	2	yes	complemented
123	C₂×#4025	C₂²	1	2	yes	complemented
124	C₂×#4025	C₂²	1	2	yes	complemented
125	C₂×#4025	C₂²	1	2	yes	complemented
126	C₂×#4024	C₂²	1	2	yes	complemented
127	C₂×#4024	C₂²	1	2	yes	complemented
128	C₂×#4024	C₂²	1	2	yes	complemented
129	C₂×#4023	C₂²	1	2	yes	complemented
130	C₂×#4023	C₂²	1	2	yes	complemented
131	C₂×#4022	C₂²	1	2	yes	complemented
132	C₂×#4021	C₂²	1	1	yes	characteristic
133	C₂×#4021	C₂²	1	1	yes	characteristic
134	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
135	C₂×#4018	C₂²	1	1	yes	characteristic
136	C₂×#4018	C₂²	1	2	yes	—
137	C₂×#4018	C₂²	1	1	yes	characteristic
138	C₂×#4018	C₂²	1	2	yes	complemented
139	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
140	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×Dic₁₀	C₂²	1	2	yes	complemented
143	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#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	1	yes	characteristic
151	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂²×C₅×D₄	C₂³	1	2	yes	—
154	C₂²×C₅×D₄	C₂³	1	2	yes	—
155	C₂³×C₄×C₅	C₂³	1	2	yes	—
156	C₂³×C₄×C₅	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
161	C₂³×Dic₅	C₂³	1	2	yes	—
162	C₂³×Dic₅	C₂³	1	2	yes	—
163	C₂³×Dic₅	C₂³	1	2	yes	—
164	C₂×Q₈×D₅	—	2	8	no	—
165	C₂×Q₈×D₅	C₂³	1	8	yes	—
166	C₂×#711	—	2	8	no	—
167	C₂×#711	C₂³	1	8	yes	—
168	C₂×D₄×D₅	—	2	8	no	—
169	C₂×D₄×D₅	C₂³	1	8	yes	—
170	C₂²×D₂₀	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₅	C₂³	1	2	yes	—
172	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
177	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
178	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
179	C₂²×Dic₁₀	C₂³	1	2	yes	—
180	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
181	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
182	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
183	C₅×#127	C₂³	1	8	yes	—
184	C₅×#124	C₂³	1	8	yes	—
185	C₅×#124	C₂³	1	16	yes	complemented
186	C₅×#124	C₂³	1	8	yes	complemented
187	C₅×#123	C₂³	1	16	yes	complemented
188	C₅×#123	C₂³	1	16	yes	complemented
189	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
190	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
191	C₄×C₅×D₄	C₂³	1	8	yes	—
192	C₄×C₅×D₄	C₂³	1	8	yes	complemented
193	C₄×C₅×D₄	C₂³	1	16	yes	complemented
194	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₅	C₂³	1	2	yes	—
209	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
210	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
211	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
212	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
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	#4093	C₂³	1	8	yes	—
218	#4092	C₂³	1	8	yes	—
219	#4092	C₂³	1	16	yes	complemented
220	Q₈×Dic₅	C₂³	1	8	yes	complemented
221	#4090	C₂³	1	8	yes	complemented
222	#4090	C₂³	1	8	yes	complemented
223	#4086	C₂³	1	8	yes	—
224	#4085	C₂³	1	16	yes	—
225	#4085	C₂³	1	16	yes	—
226	#4083	C₂³	1	16	yes	—
227	#4083	C₂³	1	16	yes	—
228	#4082	C₂³	1	8	yes	—
229	#4082	C₂³	1	8	yes	—
230	#4082	C₂³	1	8	yes	complemented
231	#4082	C₂³	1	16	yes	complemented
232	#4081	C₂³	1	16	yes	complemented
233	#4081	C₂³	1	16	yes	complemented
234	D₄×Dic₅	C₂³	1	8	yes	—
235	D₄×Dic₅	C₂³	1	8	yes	complemented
236	D₄×Dic₅	C₂³	1	16	yes	complemented
237	#4075	C₂³	1	16	yes	complemented
238	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
239	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
240	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
241	C₂×#685	C₂³	1	1	yes	characteristic
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	2	yes	—
244	C₂×#685	C₂³	1	1	yes	characteristic
245	C₂×#685	C₂³	1	1	yes	characteristic
246	C₂×#685	C₂³	1	2	yes	—
247	C₂×#685	C₂³	1	2	yes	—
248	C₂×#685	C₂³	1	2	yes	—
249	C₂×#685	C₂³	1	2	yes	—
250	C₂×#685	C₂³	1	2	yes	—
251	C₂×#685	C₂³	1	2	yes	—
252	C₂×#685	C₂³	1	2	yes	—
253	C₂×#685	C₂³	1	2	yes	—
254	C₂×#685	C₂³	1	16	yes	—
255	#4072	C₂³	1	16	yes	complemented
256	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
258	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
262	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
263	#4070	C₂³	1	16	yes	complemented
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	1	yes	characteristic
268	C₂×#683	C₂³	1	1	yes	characteristic
269	C₂×#683	C₂³	1	2	yes	—
270	C₂×#683	C₂³	1	1	yes	characteristic
271	C₂×#683	C₂³	1	1	yes	characteristic
272	C₂×#683	C₂³	1	1	yes	characteristic
273	C₂×#683	C₂³	1	1	yes	characteristic
274	C₂×#683	C₂³	1	1	yes	characteristic
275	C₂×#683	C₂³	1	2	yes	—
276	C₂×#683	C₂³	1	1	yes	characteristic
277	C₂×#683	C₂³	1	2	yes	—
278	C₂×#683	C₂³	1	2	yes	—
279	C₂×#683	C₂³	1	2	yes	—
280	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
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	2	yes	—
285	C₂×C₄×Dic₅	C₂³	1	2	yes	—
286	C₂×C₄×Dic₅	C₂³	1	2	yes	—
287	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	C₂³	1	2	yes	—
290	C₂×C₄×Dic₅	C₂³	1	2	yes	—
291	C₂×C₄×Dic₅	C₂³	1	16	yes	complemented
292	#4044	C₂³	1	16	yes	complemented
293	#4044	C₂³	1	16	yes	complemented
294	#4044	C₂³	1	16	yes	complemented
295	#4043	C₂³	1	8	yes	—
296	#4042	C₂³	1	8	yes	—
297	#4042	C₂³	1	8	yes	—
298	#4042	C₂³	1	16	yes	complemented
299	#4039	C₂³	1	8	yes	—
300	#4038	C₂³	1	8	yes	—
301	#4038	C₂³	1	16	yes	—
302	#4038	C₂³	1	16	yes	complemented
303	#4035	C₂³	1	8	yes	complemented
304	#4035	C₂³	1	8	yes	complemented
305	#4034	C₂³	1	8	yes	complemented
306	#4033	C₂³	1	8	yes	complemented
307	#4033	C₂³	1	8	yes	complemented
308	#4033	C₂³	1	16	yes	complemented
309	#4032	C₂³	1	16	yes	complemented
310	#4031	C₂³	1	16	yes	—
311	#4031	C₂³	1	16	yes	—
312	#4031	C₂³	1	16	yes	complemented
313	#4031	C₂³	1	16	yes	complemented
314	#4029	C₂³	1	16	yes	—
315	#4029	C₂³	1	16	yes	—
316	#4029	C₂³	1	16	yes	complemented
317	#4029	C₂³	1	16	yes	complemented
318	#4027	C₂³	1	16	yes	—
319	#4027	C₂³	1	16	yes	—
320	#4027	C₂³	1	16	yes	complemented
321	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
322	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
323	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
324	#4025	C₂³	1	16	yes	complemented
325	#4025	C₂³	1	16	yes	complemented
326	#4025	C₂³	1	16	yes	complemented
327	#4025	C₂³	1	16	yes	complemented
328	#4024	C₂³	1	16	yes	complemented
329	#4024	C₂³	1	16	yes	complemented
330	#4024	C₂³	1	16	yes	complemented
331	#4023	C₂³	1	16	yes	complemented
332	#4023	C₂³	1	16	yes	complemented
333	#4022	C₂³	1	16	yes	complemented
334	#4021	C₂³	1	8	yes	—
335	#4021	C₂³	1	8	yes	—
336	C₄×D₂₀	C₂³	1	8	yes	—
337	#4018	C₂³	1	8	yes	—
338	#4018	C₂³	1	8	yes	—
339	#4018	C₂³	1	16	yes	—
340	#4018	C₂³	1	16	yes	complemented
341	C₄²×D₅	C₂³	1	8	yes	—
342	#4015	C₂³	1	8	yes	complemented
343	C₄×Dic₁₀	C₂³	1	8	yes	complemented
344	C₄×Dic₁₀	C₂³	1	16	yes	complemented
345	C₄×Dic₁₀	C₂³	1	8	yes	complemented
346	C₄×Dic₁₀	C₂³	1	8	yes	complemented
347	C₄×Dic₁₀	C₂³	1	8	yes	complemented
348	C₄×Dic₁₀	C₂³	1	8	yes	complemented
349	#3510	—	5	32	no	—
350	C₂×#559	—	5	1	no	—
351	C₂×#559	—	5	1	no	—
352	C₂×#559	—	5	1	no	—
353	C₂×#559	D₅	1	1	yes	characteristic, complemented
354	C₂×#556	—	5	1	no	—
355	C₂×#556	—	5	1	no	—
356	C₂×#556	—	5	1	no	—
357	C₂×#556	—	5	1	no	—
358	C₂×#551	—	5	2	no	—
359	C₂×#551	—	5	2	no	—
360	C₂×#551	—	5	2	no	—
361	C₂×#551	—	5	2	no	—
362	C₂×#542	—	5	2	no	—
363	C₂×#542	—	5	2	no	—
364	C₂×#536	—	5	1	no	—
365	C₂×#535	—	5	1	no	—
366	C₂×#533	—	5	1	no	—
367	C₂×#529	—	5	2	no	—
368	C₂×#529	—	5	2	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	2	yes	—
375	C₂³×D₅	—	2	8	no	—
376	C₂³×D₅	—	4	4	no	—
377	C₂³×D₅	—	4	4	no	—
378	C₂³×D₅	C₂⁴	1	2	yes	—
379	C₂³×D₅	C₂⁴	1	1	yes	characteristic
380	C₂³×D₅	C₂⁴	1	8	yes	—
381	C₂×C₅×Q₈	—	2	4	no	—
382	C₂×C₅×Q₈	—	4	2	no	—
383	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
384	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
385	C₂×C₅×D₄	—	2	4	no	—
386	C₂×C₅×D₄	—	2	4	no	—
387	C₂×C₅×D₄	—	4	4	no	—
388	C₂×C₅×D₄	—	4	4	no	—
389	C₂×C₅×D₄	C₂⁴	1	4	yes	—
390	C₂×C₅×D₄	C₂⁴	1	4	yes	—
391	C₂×C₅×D₄	C₂⁴	1	8	yes	—
392	C₂×C₅×D₄	C₂⁴	1	8	yes	—
393	C₂²×C₄×C₅	—	4	4	no	—
394	C₂²×C₄×C₅	—	4	4	no	—
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
404	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
405	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂×C₂²⋊D₅	—	2	8	no	—
407	C₂×C₂²⋊D₅	—	2	8	no	—
408	C₂×C₂²⋊D₅	—	4	4	no	—
409	C₂×C₂²⋊D₅	—	4	4	no	—
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	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
414	C₂²×Dic₅	—	2	8	no	—
415	C₂²×Dic₅	—	4	4	no	—
416	C₂²×Dic₅	—	4	4	no	—
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	1	yes	characteristic
421	C₂²×Dic₅	C₂⁴	1	2	yes	—
422	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₅	C₂⁴	1	2	yes	—
425	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₅	C₂⁴	1	8	yes	—
427	C₂²×Dic₅	C₂⁴	1	8	yes	—
428	C₂²×Dic₅	C₂⁴	1	8	yes	—
429	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
430	Q₈×D₅	—	2	32	no	—
431	#711	—	2	32	no	—
432	D₄×D₅	—	2	32	no	—
433	C₂×D₂₀	—	2	4	no	—
434	C₂×D₂₀	C₂⁴	1	4	yes	—
435	C₂×C₄×D₅	—	2	8	no	—
436	C₂×C₄×D₅	—	4	2	no	—
437	C₂×C₄×D₅	—	4	4	no	—
438	C₂×C₄×D₅	—	4	2	no	—
439	C₂×C₄×D₅	—	4	4	no	—
440	C₂×C₄×D₅	#41	1	8	yes	—
441	C₂×C₄×D₅	C₂⁴	1	8	yes	—
442	C₂×C₄×D₅	C₂⁴	1	4	yes	—
443	C₂×C₄×D₅	C₂⁴	1	4	yes	—
444	C₂×C₄×D₅	C₂⁴	1	8	yes	—
445	C₂×C₄×D₅	C₂⁴	1	8	yes	—
446	C₂×C₄×D₅	C₂⁴	1	4	yes	—
447	C₂×Dic₁₀	—	2	4	no	—
448	C₂×Dic₁₀	—	2	4	no	—
449	C₂×Dic₁₀	—	2	8	no	—
450	C₂×Dic₁₀	—	4	2	no	—
451	C₂×Dic₁₀	—	4	2	no	—
452	C₂×Dic₁₀	—	4	2	no	—
453	C₂×Dic₁₀	C₂⁴	1	4	yes	—
454	C₂×Dic₁₀	C₂⁴	1	4	yes	—
455	C₂×Dic₁₀	C₂⁴	1	8	yes	—
456	C₂×Dic₁₀	C₂⁴	1	4	yes	—
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	8	yes	—
462	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
466	C₅×C₂²⋊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	8	yes	—
470	C₄²×C₅	C₂⁴	1	4	yes	—
471	C₄²×C₅	C₂⁴	1	4	yes	—
472	C₄²×C₅	C₂⁴	1	8	yes	—
473	C₄²×C₅	C₂⁴	1	4	yes	—
474	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
475	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
478	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
479	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
482	#685	C₂⁴	1	4	yes	—
483	#685	C₂⁴	1	4	yes	—
484	#685	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	8	yes	—
490	#685	C₂⁴	1	8	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	C₄⋊Dic₅	C₂⁴	1	4	yes	—
496	C₄⋊Dic₅	C₂⁴	1	8	yes	—
497	C₄⋊Dic₅	C₂⁴	1	4	yes	—
498	C₄⋊Dic₅	C₂⁴	1	4	yes	—
499	C₄⋊Dic₅	C₂⁴	1	4	yes	—
500	C₄⋊Dic₅	C₂⁴	1	8	yes	—
501	C₄⋊Dic₅	C₂⁴	1	8	yes	—
502	#683	C₂⁴	1	4	yes	—
503	#683	C₂⁴	1	8	yes	—
504	#683	C₂⁴	1	4	yes	—
505	#683	C₂⁴	1	4	yes	—
506	#683	C₂⁴	1	4	yes	—
507	#683	C₂⁴	1	8	yes	—
508	#683	C₂⁴	1	4	yes	—
509	#683	C₂⁴	1	4	yes	—
510	#683	C₂⁴	1	4	yes	—
511	#683	C₂⁴	1	4	yes	—
512	#683	C₂⁴	1	4	yes	—
513	#683	C₂⁴	1	8	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	C₄×Dic₅	C₂⁴	1	4	yes	—
519	C₄×Dic₅	C₂⁴	1	4	yes	—
520	C₄×Dic₅	C₂⁴	1	4	yes	—
521	C₄×Dic₅	C₂⁴	1	8	yes	—
522	C₄×Dic₅	C₂⁴	1	8	yes	—
523	C₄×Dic₅	C₂⁴	1	8	yes	—
524	C₄×Dic₅	C₂⁴	1	8	yes	—
525	C₄×Dic₅	C₂⁴	1	4	yes	—
526	C₄×Dic₅	C₂⁴	1	4	yes	—
527	C₄×Dic₅	C₂⁴	1	8	yes	—
528	C₄×Dic₅	C₂⁴	1	8	yes	—
529	C₂²×#41	—	5	1	no	—
530	C₂³×Q₈	—	5	1	no	—
531	C₂³×D₄	—	5	1	no	—
532	#559	—	5	16	no	—
533	#559	—	5	16	no	—
534	#559	—	5	16	no	—
535	#559	C₂×D₅	1	16	yes	complemented
536	#556	—	5	16	no	—
537	#556	—	5	16	no	—
538	#556	—	5	16	no	—
539	#556	—	5	16	no	—
540	#551	—	5	32	no	—
541	#551	—	5	32	no	—
542	#551	—	5	32	no	—
543	#551	—	5	32	no	—
544	#542	—	5	32	no	—
545	#542	—	5	32	no	—
546	#536	—	5	16	no	—
547	#535	—	5	16	no	—
548	#533	—	5	16	no	—
549	C₂×C₄⋊Q₈	—	5	1	no	—
550	C₂×C₄⋊Q₈	—	5	1	no	—
551	C₂×C₄⋊Q₈	—	5	1	no	—
552	C₂×C₄⋊Q₈	—	5	1	no	—
553	C₂×#127	—	5	1	no	—
554	C₂×#127	C₂×D₅	1	1	yes	characteristic
555	#529	—	5	32	no	—
556	#529	—	5	32	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	—	5	2	no	—
565	C₂×#125	—	5	1	no	—
566	C₂×#125	—	5	1	no	—
567	C₂×#124	—	5	1	no	—
568	C₂×#124	—	5	1	no	—
569	C₂×#124	—	5	1	no	—
570	C₂×#124	—	5	1	no	—
571	C₂×#124	—	5	2	no	—
572	C₂×#124	—	5	16	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	—	5	1	no	—
579	C₂×#124	C₂×D₅	1	1	yes	characteristic
580	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
581	C₂×#124	C₂×D₅	1	2	yes	complemented
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	—	5	2	no	—
590	C₂×#123	C₂×D₅	1	2	yes	complemented
591	C₂×#123	C₂×D₅	1	2	yes	complemented
592	C₂×C₂²⋊Q₈	—	5	1	no	—
593	C₂×C₂²⋊Q₈	—	5	2	no	—
594	C₂×C₂²⋊Q₈	—	5	2	no	—
595	C₂×C₂²⋊Q₈	—	5	1	no	—
596	C₂×C₂²⋊Q₈	—	5	1	no	—
597	C₂×C₂²⋊Q₈	—	5	2	no	—
598	C₂×C₂²⋊Q₈	—	5	1	no	—
599	C₂×C₂²⋊Q₈	—	5	2	no	—
600	C₂×C₂²⋊Q₈	—	5	2	no	—
601	C₂×C₂²⋊Q₈	—	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	#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	1	no	—
611	C₂×C₄×Q₈	—	5	2	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	1	no	—
616	C₂×C₄×Q₈	—	5	1	no	—
617	C₂×C₄×Q₈	—	5	1	no	—
618	C₂×C₄×Q₈	—	5	1	no	—
619	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
620	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
621	C₂×C₄×D₄	—	5	1	no	—
622	C₂×C₄×D₄	—	5	1	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	1	no	—
628	C₂×C₄×D₄	—	5	2	no	—
629	C₂×C₄×D₄	—	5	2	no	—
630	C₂×C₄×D₄	—	5	2	no	—
631	C₂×C₄×D₄	—	5	1	no	—
632	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
633	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
634	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
635	C₂×#117	—	5	2	no	—
636	C₂×#117	—	5	1	no	—
637	C₂×#117	—	5	2	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	1	no	—
643	C₂×#117	—	5	2	no	—
644	C₂×#117	—	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	2	no	—
650	C₂²×C₄²	—	5	1	no	—
651	C₂³×C₅	—	2	4	no	—
652	C₂³×C₅	—	2	4	no	—
653	C₂³×C₅	—	2	4	no	—
654	C₂³×C₅	—	2	4	no	—
655	C₂³×C₅	—	2	4	no	—
656	C₂³×C₅	—	2	4	no	—
657	C₂³×C₅	C₂⁵	1	4	yes	—
658	C₂³×C₅	C₂⁵	1	4	yes	—
659	C₂³×C₅	C₂⁵	1	1	yes	characteristic
660	C₂²×D₅	—	2	2	no	—
661	C₂²×D₅	—	2	2	no	—
662	C₂²×D₅	—	2	4	no	—
663	C₂²×D₅	—	2	4	no	—
664	C₂²×D₅	—	2	4	no	—
665	C₂²×D₅	—	2	16	no	—
666	C₂²×D₅	—	4	8	no	—
667	C₂²×D₅	—	4	8	no	—
668	C₂²×D₅	—	8	16	no	—
669	C₂²×D₅	C₂×#41	1	4	yes	—
670	C₂²×D₅	C₂⁵	1	4	yes	—
671	C₂²×D₅	C₂⁵	1	2	yes	—
672	C₅×Q₈	—	2	8	no	—
673	C₅×Q₈	—	4	4	no	—
674	C₅×D₄	—	2	8	no	—
675	C₅×D₄	—	2	8	no	—
676	C₅×D₄	—	4	8	no	—
677	C₅×D₄	—	4	8	no	—
678	C₂×C₄×C₅	—	2	4	no	—
679	C₂×C₄×C₅	—	2	2	no	—
680	C₂×C₄×C₅	—	2	2	no	—
681	C₂×C₄×C₅	—	2	2	no	—
682	C₂×C₄×C₅	—	2	2	no	—
683	C₂×C₄×C₅	—	2	2	no	—
684	C₂×C₄×C₅	—	2	4	no	—
685	C₂×C₄×C₅	—	2	2	no	—
686	C₂×C₄×C₅	—	4	8	no	—
687	C₂×C₄×C₅	—	4	8	no	—
688	C₂×C₄×C₅	C₂×#41	1	4	yes	—
689	C₂×C₄×C₅	C₂⁵	1	2	yes	—
690	C₂×C₄×C₅	C₂⁵	1	4	yes	—
691	C₂×C₄×C₅	C₂⁵	1	2	yes	—
692	C₂×C₄×C₅	C₂⁵	1	4	yes	—
693	C₂×C₄×C₅	C₂⁵	1	2	yes	—
694	C₂×C₄×C₅	C₂⁵	1	2	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	C₂²⋊D₅	—	2	16	no	—
699	C₂²⋊D₅	—	2	16	no	—
700	C₂²⋊D₅	—	4	8	no	—
701	C₂²⋊D₅	—	4	8	no	—
702	C₂×Dic₅	—	2	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	4	no	—
711	C₂×Dic₅	—	2	16	no	—
712	C₂×Dic₅	—	4	8	no	—
713	C₂×Dic₅	—	4	8	no	—
714	C₂×Dic₅	C₂×#41	1	4	yes	—
715	C₂×Dic₅	C₂⁵	1	2	yes	—
716	C₂×Dic₅	C₂⁵	1	4	yes	—
717	C₂×Dic₅	C₂⁵	1	2	yes	—
718	C₂×Dic₅	C₂⁵	1	2	yes	—
719	C₂×Dic₅	C₂⁵	1	4	yes	—
720	C₂×Dic₅	C₂⁵	1	2	yes	—
721	C₂×Dic₅	C₂⁵	1	4	yes	—
722	C₂×Dic₅	C₂⁵	1	2	yes	—
723	C₂×Dic₅	C₂⁵	1	2	yes	—
724	C₂×Dic₅	C₂⁵	1	2	yes	—
725	D₂₀	—	2	8	no	—
726	C₄×D₅	—	2	16	no	—
727	C₄×D₅	—	4	4	no	—
728	C₄×D₅	—	4	8	no	—
729	C₄×D₅	—	4	4	no	—
730	C₄×D₅	—	4	8	no	—
731	C₄×D₅	C₂×#41	1	16	yes	—
732	Dic₁₀	—	2	8	no	—
733	Dic₁₀	—	2	8	no	—
734	Dic₁₀	—	2	16	no	—
735	Dic₁₀	—	4	4	no	—
736	Dic₁₀	—	4	4	no	—
737	Dic₁₀	—	4	4	no	—
738	C₂⁵	—	5	2	no	—
739	C₂×#41	—	5	8	no	—
740	C₂×#41	—	10	8	no	—
741	C₂²×Q₈	—	5	8	no	—
742	C₂²×Q₈	—	5	2	no	—
743	C₂²×Q₈	—	5	1	no	—
744	C₂²×Q₈	—	5	1	no	—
745	C₂²×Q₈	—	5	1	no	—
746	C₂²×Q₈	—	5	1	no	—
747	C₂²×Q₈	—	5	1	no	—
748	C₂²×Q₈	—	10	8	no	—
749	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
750	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
751	C₂²×D₄	—	5	2	no	—
752	C₂²×D₄	—	5	2	no	—
753	C₂²×D₄	—	5	2	no	—
754	C₂²×D₄	—	5	2	no	—
755	C₂²×D₄	—	5	8	no	—
756	C₂²×D₄	—	5	1	no	—
757	C₂²×D₄	—	10	8	no	—
758	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
759	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
760	C₂²×D₄	C₂²×D₅	1	2	yes	—
761	C₂²×D₄	C₂²×D₅	1	2	yes	—
762	C₂³×C₄	—	5	1	no	—
763	C₂³×C₄	—	5	2	no	—
764	C₂³×C₄	—	5	2	no	—
765	C₂³×C₄	—	5	2	no	—
766	C₂³×C₄	—	5	2	no	—
767	C₂³×C₄	—	5	1	no	—
768	C₂³×C₄	—	5	1	no	—
769	C₂³×C₄	—	5	2	no	—
770	C₂³×C₄	—	5	2	no	—
771	C₂³×C₄	C₂²×D₅	1	2	yes	—
772	C₂³×C₄	C₂²×D₅	1	2	yes	—
773	C₄⋊Q₈	—	5	8	no	—
774	C₄⋊Q₈	—	5	8	no	—
775	C₄⋊Q₈	—	5	8	no	—
776	C₄⋊Q₈	—	5	8	no	—
777	#127	—	5	8	no	—
778	#127	C₂²×D₅	1	8	yes	—
779	#126	—	5	16	no	—
780	#126	—	5	16	no	—
781	#126	—	5	16	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	#125	—	5	8	no	—
788	#125	—	5	8	no	—
789	#124	—	5	8	no	—
790	#124	—	5	8	no	—
791	#124	—	5	8	no	—
792	#124	—	5	8	no	—
793	#124	—	5	16	no	—
794	#124	—	5	16	no	—
795	#124	—	5	16	no	—
796	#124	—	5	16	no	—
797	#124	—	5	16	no	—
798	#124	—	5	8	no	—
799	#124	—	5	8	no	—
800	#124	C₂²×D₅	1	8	yes	—
801	#124	C₂²×D₅	1	8	yes	complemented
802	#124	C₂²×D₅	1	16	yes	complemented
803	#123	—	5	16	no	—
804	#123	—	5	16	no	—
805	#123	—	5	16	no	—
806	#123	—	5	16	no	—
807	#123	—	5	16	no	—
808	#123	—	5	16	no	—
809	#123	—	5	16	no	—
810	#123	—	5	16	no	—
811	#123	C₂²×D₅	1	16	yes	complemented
812	#123	C₂²×D₅	1	16	yes	complemented
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	—	5	8	no	—
819	C₂²⋊Q₈	—	5	16	no	—
820	C₂²⋊Q₈	—	5	16	no	—
821	C₂²⋊Q₈	—	5	16	no	—
822	C₂²⋊Q₈	—	5	16	no	—
823	#121	—	5	16	no	—
824	#121	—	5	16	no	—
825	#120	—	5	16	no	—
826	#120	—	5	16	no	—
827	C₄×Q₈	—	5	8	no	—
828	C₄×Q₈	—	5	8	no	—
829	C₄×Q₈	—	5	16	no	—
830	C₄×Q₈	—	5	8	no	—
831	C₄×Q₈	—	5	8	no	—
832	C₄×Q₈	—	5	16	no	—
833	C₄×Q₈	—	5	8	no	—
834	C₄×Q₈	—	5	8	no	—
835	C₄×Q₈	—	5	8	no	—
836	C₄×Q₈	—	5	8	no	—
837	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
838	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
839	C₄×D₄	—	5	8	no	—
840	C₄×D₄	—	5	8	no	—
841	C₄×D₄	—	5	16	no	—
842	C₄×D₄	—	5	16	no	—
843	C₄×D₄	—	5	16	no	—
844	C₄×D₄	—	5	16	no	—
845	C₄×D₄	—	5	8	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	C₂²×D₅	1	8	yes	—
851	C₄×D₄	C₂²×D₅	1	8	yes	complemented
852	C₄×D₄	C₂²×D₅	1	16	yes	complemented
853	#117	—	5	16	no	—
854	#117	—	5	8	no	—
855	#117	—	5	16	no	—
856	#117	—	5	16	no	—
857	#117	—	5	16	no	—
858	#117	—	5	16	no	—
859	#117	—	5	8	no	—
860	#117	—	5	8	no	—
861	#117	—	5	16	no	—
862	#117	—	5	16	no	—
863	C₂×C₄⋊C₄	—	5	1	no	—
864	C₂×C₄⋊C₄	—	5	1	no	—
865	C₂×C₄⋊C₄	—	5	1	no	—
866	C₂×C₄⋊C₄	—	5	1	no	—
867	C₂×C₄⋊C₄	—	5	1	no	—
868	C₂×C₄⋊C₄	—	5	1	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	2	no	—
874	C₂×C₄⋊C₄	—	5	2	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	1	no	—
881	C₂×C₄⋊C₄	—	5	1	no	—
882	C₂×C₄⋊C₄	—	5	1	no	—
883	C₂×C₄⋊C₄	—	5	1	no	—
884	C₂×C₄⋊C₄	—	5	1	no	—
885	C₂×C₄⋊C₄	—	5	1	no	—
886	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
889	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	—	5	2	no	—
892	C₂×C₂²⋊C₄	—	5	2	no	—
893	C₂×C₂²⋊C₄	—	5	2	no	—
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	2	no	—
900	C₂×C₂²⋊C₄	—	5	1	no	—
901	C₂×C₂²⋊C₄	—	5	1	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	1	no	—
910	C₂×C₂²⋊C₄	—	5	1	no	—
911	C₂×C₂²⋊C₄	—	5	2	no	—
912	C₂×C₂²⋊C₄	—	5	2	no	—
913	C₂×C₂²⋊C₄	—	5	16	no	—
914	C₂×C₂²⋊C₄	—	5	16	no	—
915	C₂×C₂²⋊C₄	—	5	16	no	—
916	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
917	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
918	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
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×C₄²	—	5	2	no	—
923	C₂×C₄²	—	5	2	no	—
924	C₂×C₄²	—	5	2	no	—
925	C₂×C₄²	—	5	2	no	—
926	C₂×C₄²	—	5	2	no	—
927	C₂×C₄²	—	5	2	no	—
928	C₂×C₄²	—	5	1	no	—
929	C₂×C₄²	—	5	1	no	—
930	C₂×C₄²	—	5	1	no	—
931	C₂×C₄²	—	5	1	no	—
932	C₂×C₄²	—	5	16	no	—
933	C₂×C₄²	—	5	1	no	—
934	C₂×C₄²	—	5	8	no	—
935	C₂×C₄²	C₂²×D₅	1	2	yes	—
936	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
937	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
938	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
939	C₂²×C₅	—	2	4	no	—
940	C₂²×C₅	—	2	4	no	—
941	C₂²×C₅	—	2	4	no	—
942	C₂²×C₅	—	2	4	no	—
943	C₂²×C₅	—	2	4	no	—
944	C₂²×C₅	—	2	4	no	—
945	C₂²×C₅	—	4	8	no	—
946	C₂²×C₅	—	4	8	no	—
947	C₂²×C₅	C₂²×#41	1	2	yes	—
948	C₂²×C₅	#585	1	2	yes	—
949	C₂²×C₅	#585	1	2	yes	—
950	C₂²×C₅	C₂⁶	1	1	yes	characteristic
951	C₂×D₅	—	2	2	no	—
952	C₂×D₅	—	2	2	no	—
953	C₂×D₅	—	2	8	no	—
954	C₂×D₅	—	2	4	no	—
955	C₂×D₅	—	2	4	no	—
956	C₂×D₅	—	2	4	no	—
957	C₂×D₅	—	4	8	no	—
958	C₂×D₅	—	8	16	no	—
959	C₂×D₅	C₂²×#41	1	4	yes	—
960	C₄×C₅	—	2	4	no	—
961	C₄×C₅	—	2	2	no	—
962	C₄×C₅	—	2	2	no	—
963	C₄×C₅	—	2	2	no	—
964	C₄×C₅	—	2	2	no	—
965	C₄×C₅	—	2	2	no	—
966	C₄×C₅	—	2	4	no	—
967	C₄×C₅	—	2	2	no	—
968	C₄×C₅	C₂²×#41	1	4	yes	—
969	Dic₅	—	2	4	no	—
970	Dic₅	—	2	4	no	—
971	Dic₅	—	2	2	no	—
972	Dic₅	—	2	2	no	—
973	Dic₅	—	2	2	no	—
974	Dic₅	—	2	2	no	—
975	Dic₅	—	2	2	no	—
976	Dic₅	—	2	2	no	—
977	Dic₅	—	2	4	no	—
978	Dic₅	C₂²×#41	1	4	yes	—
979	C₂⁴	—	5	1	no	—
980	C₂⁴	—	5	2	no	—
981	C₂⁴	—	5	8	no	—
982	C₂⁴	—	10	8	no	—
983	C₂⁴	—	20	4	no	—
984	C₂⁴	—	20	4	no	—
985	C₂⁴	C₂³×D₅	1	2	yes	—
986	C₂⁴	C₂³×D₅	1	2	yes	—
987	#41	—	10	32	no	—
988	C₂×Q₈	—	2	4	no	—
989	C₂×Q₈	—	4	2	no	—
990	C₂×Q₈	—	5	8	no	—
991	C₂×Q₈	—	5	4	no	—
992	C₂×Q₈	—	5	4	no	—
993	C₂×Q₈	—	5	4	no	—
994	C₂×Q₈	—	5	4	no	—
995	C₂×Q₈	—	5	4	no	—
996	C₂×Q₈	—	10	8	no	—
997	C₂×Q₈	—	10	32	no	—
998	C₂×Q₈	—	10	4	no	—
999	C₂×Q₈	—	10	4	no	—
1000	C₂×Q₈	—	20	2	no	—
1001	C₂×Q₈	—	20	2	no	—
1002	C₂×Q₈	—	20	2	no	—
1003	C₂×Q₈	C₂³×D₅	1	4	yes	—
1004	C₂×Q₈	C₂³×D₅	1	4	yes	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	2	4	no	—
1007	C₂×D₄	—	4	4	no	—
1008	C₂×D₄	—	4	4	no	—
1009	C₂×D₄	—	5	8	no	—
1010	C₂×D₄	—	5	8	no	—
1011	C₂×D₄	—	5	8	no	—
1012	C₂×D₄	—	5	8	no	—
1013	C₂×D₄	—	5	4	no	—
1014	C₂×D₄	—	10	32	no	—
1015	C₂×D₄	—	10	8	no	—
1016	C₂×D₄	—	10	8	no	—
1017	C₂×D₄	—	10	4	no	—
1018	C₂×D₄	—	20	4	no	—
1019	C₂×D₄	—	20	4	no	—
1020	C₂×D₄	C₂³×D₅	1	4	yes	—
1021	C₂×D₄	C₂³×D₅	1	4	yes	—
1022	C₂×D₄	C₂³×D₅	1	8	yes	—
1023	C₂×D₄	C₂³×D₅	1	8	yes	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	5	1	no	—
1027	C₂²×C₄	—	5	8	no	—
1028	C₂²×C₄	—	5	4	no	—
1029	C₂²×C₄	—	5	8	no	—
1030	C₂²×C₄	—	5	2	no	—
1031	C₂²×C₄	—	5	1	no	—
1032	C₂²×C₄	—	5	1	no	—
1033	C₂²×C₄	—	5	1	no	—
1034	C₂²×C₄	—	5	2	no	—
1035	C₂²×C₄	—	5	1	no	—
1036	C₂²×C₄	—	5	2	no	—
1037	C₂²×C₄	—	5	1	no	—
1038	C₂²×C₄	—	5	1	no	—
1039	C₂²×C₄	—	5	8	no	—
1040	C₂²×C₄	—	5	8	no	—
1041	C₂²×C₄	—	5	8	no	—
1042	C₂²×C₄	—	5	4	no	—
1043	C₂²×C₄	—	5	4	no	—
1044	C₂²×C₄	—	5	8	no	—
1045	C₂²×C₄	—	5	8	no	—
1046	C₂²×C₄	—	10	8	no	—
1047	C₂²×C₄	—	10	8	no	—
1048	C₂²×C₄	—	20	4	no	—
1049	C₂²×C₄	—	20	2	no	—
1050	C₂²×C₄	—	20	4	no	—
1051	C₂²×C₄	—	20	2	no	—
1052	C₂²×C₄	—	20	4	no	—
1053	C₂²×C₄	—	20	4	no	—
1054	C₂²×C₄	C₂³×D₅	1	2	yes	—
1055	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₅	1	2	yes	—
1058	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₅	1	8	yes	—
1063	C₂²×C₄	C₂³×D₅	1	8	yes	—
1064	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1065	C₄⋊C₄	—	5	4	no	—
1066	C₄⋊C₄	—	5	4	no	—
1067	C₄⋊C₄	—	5	4	no	—
1068	C₄⋊C₄	—	5	4	no	—
1069	C₄⋊C₄	—	5	4	no	—
1070	C₄⋊C₄	—	5	4	no	—
1071	C₄⋊C₄	—	5	8	no	—
1072	C₄⋊C₄	—	5	8	no	—
1073	C₄⋊C₄	—	5	4	no	—
1074	C₄⋊C₄	—	5	4	no	—
1075	C₄⋊C₄	—	5	8	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	8	no	—
1081	C₄⋊C₄	—	5	8	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	4	no	—
1087	C₄⋊C₄	—	5	4	no	—
1088	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1089	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1090	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1091	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1092	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1093	C₂²⋊C₄	—	5	8	no	—
1094	C₂²⋊C₄	—	5	8	no	—
1095	C₂²⋊C₄	—	5	8	no	—
1096	C₂²⋊C₄	—	5	8	no	—
1097	C₂²⋊C₄	—	5	8	no	—
1098	C₂²⋊C₄	—	5	8	no	—
1099	C₂²⋊C₄	—	5	8	no	—
1100	C₂²⋊C₄	—	5	8	no	—
1101	C₂²⋊C₄	—	5	8	no	—
1102	C₂²⋊C₄	—	5	4	no	—
1103	C₂²⋊C₄	—	5	4	no	—
1104	C₂²⋊C₄	—	5	8	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	4	no	—
1111	C₂²⋊C₄	—	5	4	no	—
1112	C₂²⋊C₄	—	5	8	no	—
1113	C₂²⋊C₄	—	5	8	no	—
1114	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1115	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1116	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1117	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1118	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1119	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1120	C₄²	—	5	4	no	—
1121	C₄²	—	5	8	no	—
1122	C₄²	—	5	8	no	—
1123	C₄²	—	5	8	no	—
1124	C₄²	—	5	4	no	—
1125	C₄²	—	5	4	no	—
1126	C₄²	—	5	8	no	—
1127	C₄²	—	5	8	no	—
1128	C₄²	—	5	8	no	—
1129	C₄²	—	5	4	no	—
1130	C₄²	—	5	4	no	—
1131	C₄²	C₂³×D₅	1	4	yes	—
1132	C₄²	C₂³×D₅	1	8	yes	—
1133	C₄²	C₂³×D₅	1	4	yes	—
1134	C₄²	C₂³×D₅	1	4	yes	—
1135	C₂×C₅	—	4	4	no	—
1136	C₂×C₅	—	4	4	no	—
1137	C₂×C₅	#3510	1	4	yes	complemented
1138	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1139	C₂×C₅	C₂×#585	1	1	yes	characteristic
1140	C₂×C₅	C₂×#585	1	1	yes	characteristic
1141	D₅	—	2	4	no	—
1142	D₅	—	4	4	no	—
1143	C₂³	—	2	4	no	—
1144	C₂³	—	2	4	no	—
1145	C₂³	—	2	4	no	—
1146	C₂³	—	2	4	no	—
1147	C₂³	—	2	4	no	—
1148	C₂³	—	2	4	no	—
1149	C₂³	—	5	4	no	—
1150	C₂³	—	5	2	no	—
1151	C₂³	—	5	4	no	—
1152	C₂³	—	10	16	no	—
1153	C₂³	—	10	2	no	—
1154	C₂³	—	10	2	no	—
1155	C₂³	—	10	4	no	—
1156	C₂³	—	10	4	no	—
1157	C₂³	—	10	4	no	—
1158	C₂³	—	20	8	no	—
1159	C₂³	—	20	8	no	—
1160	C₂³	—	40	16	no	—
1161	C₂³	C₂⁴×D₅	1	4	yes	—
1162	C₂³	C₂⁴×D₅	1	4	yes	—
1163	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1164	Q₈	—	2	8	no	—
1165	Q₈	—	4	4	no	—
1166	Q₈	—	10	16	no	—
1167	Q₈	—	10	8	no	—
1168	Q₈	—	10	8	no	—
1169	Q₈	—	20	4	no	—
1170	Q₈	—	20	4	no	—
1171	Q₈	—	20	4	no	—
1172	D₄	—	2	8	no	—
1173	D₄	—	2	8	no	—
1174	D₄	—	4	8	no	—
1175	D₄	—	4	8	no	—
1176	D₄	—	10	16	no	—
1177	D₄	—	10	16	no	—
1178	D₄	—	10	8	no	—
1179	D₄	—	20	8	no	—
1180	D₄	—	20	8	no	—
1181	C₂×C₄	—	2	4	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	2	no	—
1186	C₂×C₄	—	2	4	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	2	2	no	—
1189	C₂×C₄	—	4	8	no	—
1190	C₂×C₄	—	4	8	no	—
1191	C₂×C₄	—	5	4	no	—
1192	C₂×C₄	—	5	2	no	—
1193	C₂×C₄	—	5	16	no	—
1194	C₂×C₄	—	5	2	no	—
1195	C₂×C₄	—	5	4	no	—
1196	C₂×C₄	—	5	2	no	—
1197	C₂×C₄	—	5	2	no	—
1198	C₂×C₄	—	5	4	no	—
1199	C₂×C₄	—	5	2	no	—
1200	C₂×C₄	—	5	4	no	—
1201	C₂×C₄	—	5	2	no	—
1202	C₂×C₄	—	5	2	no	—
1203	C₂×C₄	—	10	16	no	—
1204	C₂×C₄	—	10	16	no	—
1205	C₂×C₄	—	10	4	no	—
1206	C₂×C₄	—	10	4	no	—
1207	C₂×C₄	—	10	4	no	—
1208	C₂×C₄	—	10	2	no	—
1209	C₂×C₄	—	10	2	no	—
1210	C₂×C₄	—	10	2	no	—
1211	C₂×C₄	—	10	2	no	—
1212	C₂×C₄	—	10	2	no	—
1213	C₂×C₄	—	10	2	no	—
1214	C₂×C₄	—	20	8	no	—
1215	C₂×C₄	—	20	4	no	—
1216	C₂×C₄	—	20	8	no	—
1217	C₂×C₄	—	20	4	no	—
1218	C₂×C₄	—	20	8	no	—
1219	C₂×C₄	—	20	8	no	—
1220	C₂×C₄	D₅×#41	1	4	yes	—
1221	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1222	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1223	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1224	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1225	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1226	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1227	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1228	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1229	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1230	C₅	C₂×#3510	1	1	yes	characteristic, complemented, Sylow
1231	C₂²	—	2	4	no	—
1232	C₂²	—	2	4	no	—
1233	C₂²	—	2	4	no	—
1234	C₂²	—	2	4	no	—
1235	C₂²	—	2	4	no	—
1236	C₂²	—	2	4	no	—
1237	C₂²	—	4	8	no	—
1238	C₂²	—	4	8	no	—
1239	C₂²	—	5	4	no	—
1240	C₂²	—	10	2	no	—
1241	C₂²	—	10	2	no	—
1242	C₂²	—	10	8	no	—
1243	C₂²	—	10	4	no	—
1244	C₂²	—	10	4	no	—
1245	C₂²	—	10	4	no	—
1246	C₂²	—	20	8	no	—
1247	C₂²	—	40	16	no	—
1248	C₂²	C₂×D₅×#41	1	2	yes	—
1249	C₂²	#66283	1	2	yes	—
1250	C₂²	#66285	1	2	yes	—
1251	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1252	C₄	—	2	4	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	2	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	2	2	no	—
1257	C₄	—	2	4	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	—	5	4	no	—
1261	C₄	—	10	4	no	—
1262	C₄	—	10	4	no	—
1263	C₄	—	10	2	no	—
1264	C₄	—	10	4	no	—
1265	C₄	—	10	2	no	—
1266	C₄	—	10	2	no	—
1267	C₄	—	10	2	no	—
1268	C₄	—	10	2	no	—
1269	C₄	—	10	2	no	—
1270	C₄	C₂×D₅×#41	1	4	yes	—
1271	C₂	—	4	4	no	—
1272	C₂	—	4	4	no	—
1273	C₂	—	10	4	no	—
1274	C₂	—	20	4	no	—
1275	C₂	#10618953	1	4	yes	direct product factor
1276	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1277	C₂	C₂×#66283	1	1	yes	characteristic
1278	C₂	C₂×#66285	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#559	C₂
socle	C₂³×C₅	C₂⁵
prime radical	C₂×#66049	C₂
hypercenter	C₂×#559	D₅
hypocenter	C₅	C₂×#3510
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#559

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#559	C₂	semidirect
2. #10618953	C₂	direct (N × H)
4. C₂×#66047	C₂	semidirect
5. C₂×#66013	C₂	semidirect
6. C₂×#66009	C₂	semidirect
7. C₂×D₅×#124	C₂	semidirect
8. C₂×#66015	C₂	semidirect
9. C₂×#66005	C₂	semidirect
10. C₂×#66003	C₂	semidirect
11. C₂×#65993	C₂	semidirect
12. C₂×#65992	C₂	semidirect
13. C₂×#65996	C₂	semidirect
14. C₂×#65983	C₂	semidirect
15. C₂×#65912	C₂	semidirect
16. C₂×#65906	C₂	semidirect
17. C₂×#65902	C₂	semidirect
18. C₂×#65918	C₂	semidirect
19. C₂×#65890	C₂	semidirect
20. C₂×#65879	C₂	semidirect
21. C₂×#65893	C₂	semidirect
22. C₂×#65876	C₂	semidirect
23. C₂×#65872	C₂	semidirect
24. C₂×C₄×#711	C₂	semidirect
28. C₅×#559	C₂²	semidirect
31. C₂×C₅×#124	C₂²	semidirect
32. C₂×C₅×#124	C₂²	semidirect
33. C₂×C₅×#123	C₂²	semidirect
34. C₂×C₅×#123	C₂²	semidirect
35. C₂×C₄×C₅×Q₈	C₂²	semidirect
36. C₂×C₄×C₅×Q₈	C₂²	semidirect
38. C₂×C₄×C₅×D₄	C₂²	semidirect
39. C₂×C₄×C₅×D₄	C₂²	semidirect
42. C₂×#4092	C₂²	semidirect
43. C₂×Q₈×Dic₅	C₂²	semidirect
44. C₂×#4090	C₂²	semidirect
45. C₂×#4090	C₂²	semidirect
53. C₂×#4082	C₂²	semidirect
54. C₂×#4082	C₂²	semidirect
55. C₂×#4081	C₂²	semidirect
56. C₂×#4081	C₂²	semidirect
58. C₂×D₄×Dic₅	C₂²	semidirect
59. C₂×D₄×Dic₅	C₂²	semidirect
60. C₂×#4075	C₂²	semidirect
63. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
65. C₂×#4072	C₂²	semidirect
66. C₂×#4070	C₂²	semidirect
67. C₂²×C₄×Dic₅	C₂²	semidirect
69. #66047	C₂²	semidirect
70. #66015	C₂²	semidirect
71. #66013	C₂²	semidirect
72. #66009	C₂²	semidirect
73. D₅×#124	C₂²	semidirect
74. #66005	C₂²	semidirect
75. #66003	C₂²	semidirect
76. #65996	C₂²	semidirect
77. #65993	C₂²	semidirect
78. #65992	C₂²	semidirect
79. #65983	C₂²	semidirect
80. #65918	C₂²	semidirect
81. #65912	C₂²	semidirect
82. #65906	C₂²	semidirect
83. #65902	C₂²	semidirect
84. #65893	C₂²	semidirect
85. #65890	C₂²	semidirect
86. #65879	C₂²	semidirect
87. #65876	C₂²	semidirect
88. #65872	C₂²	semidirect
89. C₄×#711	C₂²	semidirect
90. C₂×#4044	C₂²	semidirect
91. C₂×#4044	C₂²	semidirect
92. C₂×#4044	C₂²	semidirect
96. C₂×#4042	C₂²	semidirect
100. C₂×#4038	C₂²	semidirect
101. C₂×#4035	C₂²	semidirect
102. C₂×#4035	C₂²	semidirect
103. C₂×#4034	C₂²	semidirect
104. C₂×#4033	C₂²	semidirect
105. C₂×#4033	C₂²	semidirect
106. C₂×#4033	C₂²	semidirect
107. C₂×#4032	C₂²	semidirect
110. C₂×#4031	C₂²	semidirect
111. C₂×#4031	C₂²	semidirect
114. C₂×#4029	C₂²	semidirect
115. C₂×#4029	C₂²	semidirect
118. C₂×#4027	C₂²	semidirect
122. C₂×#4025	C₂²	semidirect
123. C₂×#4025	C₂²	semidirect
124. C₂×#4025	C₂²	semidirect
125. C₂×#4025	C₂²	semidirect
126. C₂×#4024	C₂²	semidirect
127. C₂×#4024	C₂²	semidirect
128. C₂×#4024	C₂²	semidirect
129. C₂×#4023	C₂²	semidirect
130. C₂×#4023	C₂²	semidirect
131. C₂×#4022	C₂²	semidirect
138. C₂×#4018	C₂²	semidirect
140. C₂×#4015	C₂²	semidirect
141. C₂×C₄×Dic₁₀	C₂²	semidirect
142. C₂×C₄×Dic₁₀	C₂²	semidirect
143. C₂×C₄×Dic₁₀	C₂²	semidirect
144. C₂×C₄×Dic₁₀	C₂²	semidirect
145. C₂×C₄×Dic₁₀	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
185. C₅×#124	C₂³	semidirect
186. C₅×#124	C₂³	semidirect
187. C₅×#123	C₂³	semidirect
188. C₅×#123	C₂³	semidirect
189. C₄×C₅×Q₈	C₂³	semidirect
190. C₄×C₅×Q₈	C₂³	semidirect
192. C₄×C₅×D₄	C₂³	semidirect
193. C₄×C₅×D₄	C₂³	semidirect
219. #4092	C₂³	semidirect
220. Q₈×Dic₅	C₂³	semidirect
221. #4090	C₂³	semidirect
222. #4090	C₂³	semidirect
230. #4082	C₂³	semidirect
231. #4082	C₂³	semidirect
232. #4081	C₂³	semidirect
233. #4081	C₂³	semidirect
235. D₄×Dic₅	C₂³	semidirect
236. D₄×Dic₅	C₂³	semidirect
237. #4075	C₂³	semidirect
240. C₄×C₂²⋊D₅	C₂³	semidirect
255. #4072	C₂³	semidirect
263. #4070	C₂³	semidirect
291. C₂×C₄×Dic₅	C₂³	semidirect
292. #4044	C₂³	semidirect
293. #4044	C₂³	semidirect
294. #4044	C₂³	semidirect
298. #4042	C₂³	semidirect
302. #4038	C₂³	semidirect
303. #4035	C₂³	semidirect
304. #4035	C₂³	semidirect
305. #4034	C₂³	semidirect
306. #4033	C₂³	semidirect
307. #4033	C₂³	semidirect
308. #4033	C₂³	semidirect
309. #4032	C₂³	semidirect
312. #4031	C₂³	semidirect
313. #4031	C₂³	semidirect
316. #4029	C₂³	semidirect
317. #4029	C₂³	semidirect
320. #4027	C₂³	semidirect
324. #4025	C₂³	semidirect
325. #4025	C₂³	semidirect
326. #4025	C₂³	semidirect
327. #4025	C₂³	semidirect
328. #4024	C₂³	semidirect
329. #4024	C₂³	semidirect
330. #4024	C₂³	semidirect
331. #4023	C₂³	semidirect
332. #4023	C₂³	semidirect
333. #4022	C₂³	semidirect
340. #4018	C₂³	semidirect
342. #4015	C₂³	semidirect
343. C₄×Dic₁₀	C₂³	semidirect
344. C₄×Dic₁₀	C₂³	semidirect
345. C₄×Dic₁₀	C₂³	semidirect
346. C₄×Dic₁₀	C₂³	semidirect
347. C₄×Dic₁₀	C₂³	semidirect
348. C₄×Dic₁₀	C₂³	semidirect
353. C₂×#559	D₅	semidirect
535. #559	C₂×D₅	semidirect
580. C₂×#124	C₂×D₅	semidirect
581. C₂×#124	C₂×D₅	semidirect
590. C₂×#123	C₂×D₅	semidirect
591. C₂×#123	C₂×D₅	semidirect
619. C₂×C₄×Q₈	C₂×D₅	semidirect
620. C₂×C₄×Q₈	C₂×D₅	semidirect
633. C₂×C₄×D₄	C₂×D₅	semidirect
634. C₂×C₄×D₄	C₂×D₅	semidirect
801. #124	C₂²×D₅	semidirect
802. #124	C₂²×D₅	semidirect
811. #123	C₂²×D₅	semidirect
812. #123	C₂²×D₅	semidirect
837. C₄×Q₈	C₂²×D₅	semidirect
838. C₄×Q₈	C₂²×D₅	semidirect
851. C₄×D₄	C₂²×D₅	semidirect
852. C₄×D₄	C₂²×D₅	semidirect
1137. C₂×C₅	#3510	semidirect
1230. C₅	C₂×#3510	semidirect
1275. C₂	#10618953	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×#559	2
#10618953	2
C₂×#66049	2
C₂×#66047	2
C₂×#66013	2
C₂×#66009	2
C₂×D₅×#124	2
C₂×#66015	2
C₂×#66005	2
C₂×#66003	2
C₂×#65993	2
C₂×#65992	2
C₂×#65996	2
C₂×#65983	2
C₂×#65912	2
C₂×#65906	2
C₂×#65902	2
C₂×#65918	2
C₂×#65890	2
C₂×#65879	2
C₂×#65893	2
C₂×#65876	2
C₂×#65872	2
C₂×C₄×#711	2
C₂×#3510	5

Subgroups — C2×#10618953 #13007787

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618953 #13007787