Subgroups — C₂×#10618287 #13006430

Order 1280.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#537	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#66168	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#66163	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66164	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66162	C₂	1	1	yes	maximal, characteristic, complemented
6	#10618287	C₂	1	32	yes	maximal, direct product factor
7	C₂×#65981	C₂	1	2	yes	maximal, complemented
8	C₂×#65973	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#65971	C₂	1	2	yes	maximal, complemented
10	C₂×#65964	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#65977	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65961	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65954	C₂	1	2	yes	maximal, complemented
14	C₂×#65946	C₂	1	2	yes	maximal, complemented
15	C₂×#65943	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65947	C₂	1	2	yes	maximal, complemented
17	C₂×#65941	C₂	1	2	yes	maximal, complemented
18	C₂×#65939	C₂	1	2	yes	maximal, complemented
19	C₂×D₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65950	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65949	C₂	1	2	yes	maximal, complemented
22	C₂×#65953	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65848	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65841	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#713	C₂²	1	1	yes	characteristic, complemented
28	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
29	C₂²×D₄×D₅	C₂²	1	2	yes	—
30	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
31	C₂²×#709	C₂²	1	2	yes	complemented
32	C₂³×D₂₀	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
34	C₅×#537	C₂²	1	16	yes	complemented
35	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₅×#121	C₂²	1	2	yes	complemented
40	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₅×#121	C₂²	1	2	yes	complemented
42	C₂×C₅×#121	C₂²	1	2	yes	complemented
43	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	#66168	C₂²	1	16	yes	complemented
45	#66164	C₂²	1	16	yes	complemented
46	#66163	C₂²	1	16	yes	complemented
47	#66162	C₂²	1	16	yes	complemented
48	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
49	C₂×#4093	C₂²	1	2	yes	complemented
50	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
51	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
52	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
53	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
54	C₂×#4086	C₂²	1	2	yes	complemented
55	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
56	C₂×#4086	C₂²	1	2	yes	complemented
57	C₂×#4085	C₂²	1	2	yes	complemented
58	C₂×#4085	C₂²	1	2	yes	complemented
59	C₂×#4085	C₂²	1	2	yes	complemented
60	C₂×#4085	C₂²	1	2	yes	complemented
61	C₂×#4084	C₂²	1	1	yes	characteristic
62	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4084	C₂²	1	2	yes	complemented
64	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
65	C₂×#4084	C₂²	1	2	yes	complemented
66	C₂×#4083	C₂²	1	1	yes	characteristic
67	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
68	C₂×#4083	C₂²	1	2	yes	complemented
69	C₂×#4083	C₂²	1	2	yes	complemented
70	C₂×#4083	C₂²	1	2	yes	complemented
71	C₂×#4083	C₂²	1	2	yes	complemented
72	C₂×#4082	C₂²	1	2	yes	complemented
73	C₂×#4081	C₂²	1	1	yes	characteristic, complemented
74	C₂×#4081	C₂²	1	1	yes	characteristic, complemented
75	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
76	C₂×#4076	C₂²	1	1	yes	characteristic
77	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
78	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
79	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
80	C₂×#4076	C₂²	1	2	yes	complemented
81	C₂×#4076	C₂²	1	2	yes	complemented
82	C₂×#4075	C₂²	1	2	yes	complemented
83	C₂×#4075	C₂²	1	2	yes	complemented
84	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
85	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
88	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
90	C₂²×#685	C₂²	1	2	yes	complemented
91	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
92	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
93	#65981	C₂²	1	32	yes	complemented
94	#65977	C₂²	1	16	yes	complemented
95	#65973	C₂²	1	16	yes	complemented
96	#65971	C₂²	1	32	yes	complemented
97	#65964	C₂²	1	16	yes	complemented
98	#65961	C₂²	1	16	yes	complemented
99	#65954	C₂²	1	32	yes	complemented
100	#65953	C₂²	1	16	yes	complemented
101	#65950	C₂²	1	16	yes	complemented
102	#65949	C₂²	1	32	yes	complemented
103	#65947	C₂²	1	32	yes	complemented
104	#65946	C₂²	1	32	yes	complemented
105	#65943	C₂²	1	16	yes	complemented
106	#65941	C₂²	1	32	yes	complemented
107	#65939	C₂²	1	32	yes	complemented
108	D₅×#121	C₂²	1	16	yes	complemented
109	#65848	C₂²	1	16	yes	complemented
110	C₂×#4044	C₂²	1	2	yes	complemented
111	C₂×#4044	C₂²	1	2	yes	complemented
112	C₂×#4043	C₂²	1	2	yes	complemented
113	C₂×#4042	C₂²	1	2	yes	complemented
114	#65841	C₂²	1	16	yes	complemented
115	C₂×#4041	C₂²	1	1	yes	characteristic
116	C₂×#4041	C₂²	1	1	yes	characteristic
117	C₂×#4041	C₂²	1	2	yes	complemented
118	C₂×#4040	C₂²	1	2	yes	complemented
119	C₂×#4040	C₂²	1	2	yes	complemented
120	C₂×#4040	C₂²	1	2	yes	complemented
121	C₂×#4040	C₂²	1	2	yes	complemented
122	C₂×#4039	C₂²	1	2	yes	complemented
123	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
124	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
125	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
126	C₂×#4038	C₂²	1	2	yes	complemented
127	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
128	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
129	C₂×#4035	C₂²	1	2	yes	complemented
130	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4032	C₂²	1	2	yes	complemented
132	C₂×#4031	C₂²	1	2	yes	complemented
133	C₂×#4031	C₂²	1	2	yes	complemented
134	C₂×#4030	C₂²	1	2	yes	complemented
135	C₂×#4030	C₂²	1	2	yes	complemented
136	C₂×#4029	C₂²	1	2	yes	—
137	C₂×#4029	C₂²	1	2	yes	complemented
138	C₂×#4029	C₂²	1	2	yes	complemented
139	C₂×#4028	C₂²	1	2	yes	—
140	C₂×#4028	C₂²	1	2	yes	complemented
141	C₂×#4028	C₂²	1	2	yes	complemented
142	C₂×#4027	C₂²	1	2	yes	complemented
143	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
144	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
145	C₂×#4025	C₂²	1	2	yes	complemented
146	C₂×#4023	C₂²	1	2	yes	complemented
147	C₂×#3542	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂⁴×D₅	C₂³	1	1	yes	characteristic
150	C₂⁴×D₅	C₂³	1	2	yes	—
151	C₂×C₅×#41	—	4	4	no	—
152	C₂×C₅×#41	—	4	4	no	—
153	C₂×C₅×#41	C₂³	1	8	yes	complemented
154	C₂×C₅×#41	C₂³	1	8	yes	complemented
155	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
156	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
157	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
159	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
160	C₂²×C₅×D₄	C₂³	1	2	yes	—
161	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
162	C₂²×C₅×D₄	C₂³	1	2	yes	—
163	C₂²×C₅×D₄	C₂³	1	2	yes	—
164	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₅	C₂³	1	2	yes	—
168	C₂³×C₄×C₅	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
170	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
171	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
174	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
180	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
181	C₂³×Dic₅	C₂³	1	2	yes	—
182	C₂³×Dic₅	C₂³	1	1	yes	characteristic
183	C₂×#713	—	4	4	no	—
184	C₂×#713	C₂³	1	8	yes	complemented
185	C₂×D₄×D₅	—	4	4	no	—
186	C₂×D₄×D₅	—	4	8	no	—
187	C₂×D₄×D₅	—	4	8	no	—
188	C₂×D₄×D₅	C₂³	1	8	yes	—
189	C₂×D₄×D₅	C₂³	1	16	yes	—
190	C₂×D₄×D₅	C₂³	1	16	yes	complemented
191	C₂×#709	—	4	8	no	—
192	C₂×#709	C₂³	1	16	yes	complemented
193	C₂²×D₂₀	—	4	4	no	—
194	C₂²×D₂₀	C₂³	1	2	yes	—
195	C₂²×D₂₀	C₂³	1	1	yes	characteristic
196	C₂²×D₂₀	C₂³	1	1	yes	characteristic
197	C₂²×D₂₀	C₂³	1	2	yes	—
198	C₂²×D₂₀	C₂³	1	2	yes	—
199	C₂²×D₂₀	C₂³	1	2	yes	—
200	C₂²×D₂₀	C₂³	1	8	yes	complemented
201	C₂²×C₄×D₅	—	4	4	no	—
202	C₂²×C₄×D₅	C₂³	1	2	yes	—
203	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅	C₂³	1	2	yes	—
207	C₂²×C₄×D₅	C₂³	1	2	yes	—
208	C₂²×C₄×D₅	C₂³	1	2	yes	—
209	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂³	1	8	yes	complemented
211	C₂²×Dic₁₀	C₂³	1	2	yes	—
212	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
213	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
214	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
215	C₅×#121	C₂³	1	8	yes	complemented
216	C₅×#121	C₂³	1	16	yes	complemented
217	C₅×#121	C₂³	1	16	yes	complemented
218	C₅×#121	C₂³	1	8	yes	complemented
219	C₅×#121	C₂³	1	16	yes	complemented
220	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
222	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
224	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
225	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
226	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
231	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
233	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
236	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
239	#4093	C₂³	1	8	yes	complemented
240	#4093	C₂³	1	16	yes	complemented
241	#4092	C₂³	1	8	yes	complemented
242	#4092	C₂³	1	8	yes	complemented
243	#4092	C₂³	1	8	yes	complemented
244	Q₈×Dic₅	C₂³	1	8	yes	complemented
245	#4086	C₂³	1	16	yes	complemented
246	#4086	C₂³	1	16	yes	complemented
247	#4086	C₂³	1	8	yes	complemented
248	#4085	C₂³	1	16	yes	complemented
249	#4085	C₂³	1	16	yes	complemented
250	#4085	C₂³	1	16	yes	complemented
251	#4085	C₂³	1	16	yes	complemented
252	#4084	C₂³	1	8	yes	—
253	#4084	C₂³	1	8	yes	complemented
254	#4084	C₂³	1	8	yes	complemented
255	#4084	C₂³	1	16	yes	complemented
256	#4084	C₂³	1	16	yes	complemented
257	#4083	C₂³	1	8	yes	—
258	#4083	C₂³	1	8	yes	complemented
259	#4083	C₂³	1	16	yes	complemented
260	#4083	C₂³	1	16	yes	complemented
261	#4083	C₂³	1	16	yes	complemented
262	#4083	C₂³	1	16	yes	complemented
263	#4082	C₂³	1	16	yes	complemented
264	#4081	C₂³	1	8	yes	complemented
265	#4081	C₂³	1	8	yes	complemented
266	D₄×Dic₅	C₂³	1	8	yes	complemented
267	#4076	C₂³	1	8	yes	—
268	#4076	C₂³	1	8	yes	complemented
269	#4076	C₂³	1	8	yes	complemented
270	#4076	C₂³	1	16	yes	complemented
271	#4076	C₂³	1	8	yes	complemented
272	#4076	C₂³	1	16	yes	complemented
273	#4075	C₂³	1	16	yes	complemented
274	#4075	C₂³	1	16	yes	complemented
275	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
276	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
277	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
278	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
279	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
280	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
281	C₂×#685	C₂³	1	2	yes	—
282	C₂×#685	C₂³	1	2	yes	—
283	C₂×#685	C₂³	1	2	yes	—
284	C₂×#685	C₂³	1	2	yes	—
285	C₂×#685	C₂³	1	1	yes	characteristic
286	C₂×#685	C₂³	1	2	yes	—
287	C₂×#685	C₂³	1	2	yes	—
288	C₂×#685	C₂³	1	2	yes	—
289	C₂×#685	C₂³	1	2	yes	—
290	C₂×#685	C₂³	1	2	yes	—
291	C₂×#685	C₂³	1	2	yes	—
292	C₂×#685	C₂³	1	1	yes	characteristic
293	C₂×#685	C₂³	1	1	yes	characteristic
294	C₂×#685	C₂³	1	1	yes	characteristic
295	C₂×#685	C₂³	1	2	yes	—
296	C₂×#685	C₂³	1	2	yes	—
297	C₂×#685	C₂³	1	16	yes	complemented
298	#4072	C₂³	1	8	yes	complemented
299	#4072	C₂³	1	8	yes	complemented
300	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
301	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
302	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
306	C₂×#683	C₂³	1	1	yes	characteristic
307	C₂×#683	C₂³	1	2	yes	—
308	C₂×#683	C₂³	1	2	yes	—
309	C₂×#683	C₂³	1	2	yes	—
310	C₂×#683	C₂³	1	2	yes	—
311	C₂×#683	C₂³	1	1	yes	characteristic
312	C₂×#683	C₂³	1	1	yes	characteristic
313	C₂×#683	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₅	C₂³	1	2	yes	—
315	C₂×C₄×Dic₅	C₂³	1	2	yes	—
316	C₂×C₄×Dic₅	C₂³	1	2	yes	—
317	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
319	#4044	C₂³	1	16	yes	complemented
320	#4044	C₂³	1	16	yes	complemented
321	#4043	C₂³	1	16	yes	complemented
322	#4042	C₂³	1	16	yes	complemented
323	#4041	C₂³	1	8	yes	—
324	#4041	C₂³	1	8	yes	—
325	#4041	C₂³	1	16	yes	complemented
326	#4040	C₂³	1	16	yes	complemented
327	#4040	C₂³	1	16	yes	complemented
328	#4040	C₂³	1	16	yes	complemented
329	#4040	C₂³	1	16	yes	complemented
330	#4039	C₂³	1	8	yes	complemented
331	#4039	C₂³	1	8	yes	complemented
332	#4039	C₂³	1	16	yes	complemented
333	#4038	C₂³	1	8	yes	complemented
334	#4038	C₂³	1	16	yes	complemented
335	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
336	#4036	C₂³	1	8	yes	complemented
337	#4035	C₂³	1	16	yes	complemented
338	#4034	C₂³	1	8	yes	complemented
339	#4032	C₂³	1	16	yes	complemented
340	#4031	C₂³	1	16	yes	complemented
341	#4031	C₂³	1	16	yes	complemented
342	#4030	C₂³	1	16	yes	complemented
343	#4030	C₂³	1	16	yes	complemented
344	#4029	C₂³	1	16	yes	—
345	#4029	C₂³	1	16	yes	complemented
346	#4029	C₂³	1	16	yes	complemented
347	#4028	C₂³	1	16	yes	—
348	#4028	C₂³	1	16	yes	complemented
349	#4028	C₂³	1	16	yes	complemented
350	#4027	C₂³	1	16	yes	complemented
351	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
352	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
353	#4025	C₂³	1	16	yes	complemented
354	#4023	C₂³	1	16	yes	complemented
355	#3542	—	5	32	no	—
356	C₂×#562	—	5	2	no	—
357	C₂×#560	—	5	2	no	—
358	C₂×#555	—	5	1	no	—
359	C₂×#553	—	5	1	no	—
360	C₂×#552	—	5	1	no	—
361	C₂×#551	—	5	2	no	—
362	C₂×#550	—	5	1	no	—
363	C₂×#547	—	5	1	no	—
364	C₂×#546	—	5	1	no	—
365	C₂×#546	—	5	1	no	—
366	C₂×#546	—	5	2	no	—
367	C₂×D₄²	—	5	1	no	—
368	C₂×#542	—	5	1	no	—
369	C₂×#540	—	5	1	no	—
370	C₂×#540	—	5	2	no	—
371	C₂×#538	—	5	2	no	—
372	C₂×#537	D₅	1	1	yes	characteristic, complemented
373	C₂×#535	—	5	1	no	—
374	C₂×#535	—	5	2	no	—
375	C₂×#534	—	5	2	no	—
376	C₂×#525	—	5	1	no	—
377	C₂×#525	—	5	1	no	—
378	C₂²×#121	—	5	1	no	—
379	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₅	C₂⁴	1	2	yes	—
382	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
383	C₂³×D₅	—	2	4	no	—
384	C₂³×D₅	—	2	8	no	—
385	C₂³×D₅	—	4	2	no	—
386	C₂³×D₅	—	4	2	no	—
387	C₂³×D₅	—	4	4	no	—
388	C₂³×D₅	—	4	4	no	—
389	C₂³×D₅	—	4	4	no	—
390	C₂³×D₅	—	4	4	no	—
391	C₂³×D₅	—	4	4	no	—
392	C₂³×D₅	C₂⁴	1	1	yes	characteristic
393	C₂³×D₅	C₂⁴	1	2	yes	—
394	C₂³×D₅	C₂⁴	1	2	yes	—
395	C₂³×D₅	C₂⁴	1	1	yes	characteristic
396	C₂³×D₅	C₂⁴	1	4	yes	—
397	C₂³×D₅	C₂⁴	1	8	yes	—
398	C₂³×D₅	C₂⁴	1	8	yes	—
399	C₅×#41	—	4	16	no	—
400	C₅×#41	—	4	16	no	—
401	C₂×C₅×Q₈	—	2	4	no	—
402	C₂×C₅×Q₈	—	4	2	no	—
403	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
404	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
405	C₂×C₅×D₄	—	2	4	no	—
406	C₂×C₅×D₄	—	4	4	no	—
407	C₂×C₅×D₄	—	4	4	no	—
408	C₂×C₅×D₄	—	4	2	no	—
409	C₂×C₅×D₄	—	4	4	no	—
410	C₂×C₅×D₄	—	4	2	no	—
411	C₂×C₅×D₄	—	4	2	no	—
412	C₂×C₅×D₄	C₂⁴	1	4	yes	—
413	C₂×C₅×D₄	C₂⁴	1	8	yes	—
414	C₂×C₅×D₄	C₂⁴	1	8	yes	—
415	C₂×C₅×D₄	C₂⁴	1	4	yes	—
416	C₂×C₅×D₄	C₂⁴	1	4	yes	—
417	C₂×C₅×D₄	C₂⁴	1	4	yes	—
418	C₂×C₅×D₄	C₂⁴	1	8	yes	—
419	C₂²×C₄×C₅	—	2	4	no	—
420	C₂²×C₄×C₅	—	2	4	no	—
421	C₂²×C₄×C₅	—	2	4	no	—
422	C₂²×C₄×C₅	—	4	4	no	—
423	C₂²×C₄×C₅	—	4	4	no	—
424	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
425	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
426	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
428	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
431	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
432	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
433	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
434	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
435	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
436	C₂×C₂²⋊D₅	—	2	4	no	—
437	C₂×C₂²⋊D₅	—	2	4	no	—
438	C₂×C₂²⋊D₅	—	4	4	no	—
439	C₂×C₂²⋊D₅	—	4	4	no	—
440	C₂×C₂²⋊D₅	—	4	4	no	—
441	C₂×C₂²⋊D₅	—	4	4	no	—
442	C₂×C₂²⋊D₅	—	4	4	no	—
443	C₂×C₂²⋊D₅	—	4	2	no	—
444	C₂×C₂²⋊D₅	—	4	4	no	—
445	C₂×C₂²⋊D₅	—	4	4	no	—
446	C₂×C₂²⋊D₅	—	4	4	no	—
447	C₂×C₂²⋊D₅	—	4	2	no	—
448	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
449	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
450	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
451	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
452	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
453	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
454	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
455	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
456	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
457	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
458	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
459	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
460	C₂²×Dic₅	—	4	2	no	—
461	C₂²×Dic₅	—	4	4	no	—
462	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₅	C₂⁴	1	2	yes	—
465	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
468	C₂²×Dic₅	C₂⁴	1	2	yes	—
469	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
470	C₂²×Dic₅	C₂⁴	1	4	yes	—
471	C₂²×Dic₅	C₂⁴	1	8	yes	—
472	#713	—	4	16	no	—
473	D₄×D₅	—	4	16	no	—
474	D₄×D₅	—	4	32	no	—
475	D₄×D₅	—	4	32	no	—
476	#709	—	4	32	no	—
477	C₂×D₂₀	—	2	8	no	—
478	C₂×D₂₀	—	2	4	no	—
479	C₂×D₂₀	—	2	4	no	—
480	C₂×D₂₀	—	4	16	no	—
481	C₂×D₂₀	—	4	4	no	—
482	C₂×D₂₀	—	4	4	no	—
483	C₂×D₂₀	—	4	4	no	—
484	C₂×D₂₀	C₂⁴	1	4	yes	—
485	C₂×D₂₀	C₂⁴	1	4	yes	—
486	C₂×D₂₀	C₂⁴	1	8	yes	—
487	C₂×D₂₀	C₂⁴	1	8	yes	—
488	C₂×D₂₀	C₂⁴	1	8	yes	—
489	C₂×D₂₀	C₂⁴	1	8	yes	—
490	C₂×C₄×D₅	—	2	8	no	—
491	C₂×C₄×D₅	—	2	4	no	—
492	C₂×C₄×D₅	—	2	4	no	—
493	C₂×C₄×D₅	—	4	16	no	—
494	C₂×C₄×D₅	—	4	2	no	—
495	C₂×C₄×D₅	—	4	2	no	—
496	C₂×C₄×D₅	—	4	4	no	—
497	C₂×C₄×D₅	—	4	4	no	—
498	C₂×C₄×D₅	—	4	4	no	—
499	C₂×C₄×D₅	C₂⁴	1	4	yes	—
500	C₂×C₄×D₅	C₂⁴	1	4	yes	—
501	C₂×C₄×D₅	C₂⁴	1	8	yes	—
502	C₂×C₄×D₅	C₂⁴	1	4	yes	—
503	C₂×C₄×D₅	C₂⁴	1	4	yes	—
504	C₂×C₄×D₅	C₂⁴	1	8	yes	—
505	C₂×C₄×D₅	C₂⁴	1	8	yes	—
506	C₂×C₄×D₅	C₂⁴	1	8	yes	—
507	C₂×Dic₁₀	—	4	4	no	—
508	C₂×Dic₁₀	C₂⁴	1	8	yes	—
509	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
510	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
511	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
512	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
513	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
514	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
515	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
517	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
518	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
519	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
520	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
521	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
522	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
523	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
524	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
525	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
526	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
527	#685	C₂⁴	1	8	yes	—
528	#685	C₂⁴	1	8	yes	—
529	#685	C₂⁴	1	8	yes	—
530	#685	C₂⁴	1	8	yes	—
531	#685	C₂⁴	1	4	yes	—
532	#685	C₂⁴	1	8	yes	—
533	#685	C₂⁴	1	8	yes	—
534	#685	C₂⁴	1	8	yes	—
535	#685	C₂⁴	1	8	yes	—
536	#685	C₂⁴	1	8	yes	—
537	#685	C₂⁴	1	8	yes	—
538	#685	C₂⁴	1	4	yes	—
539	#685	C₂⁴	1	4	yes	—
540	#685	C₂⁴	1	4	yes	—
541	#685	C₂⁴	1	8	yes	—
542	#685	C₂⁴	1	8	yes	—
543	C₄⋊Dic₅	C₂⁴	1	8	yes	—
544	C₄⋊Dic₅	C₂⁴	1	8	yes	—
545	C₄⋊Dic₅	C₂⁴	1	4	yes	—
546	C₄⋊Dic₅	C₂⁴	1	4	yes	—
547	C₄⋊Dic₅	C₂⁴	1	4	yes	—
548	C₄⋊Dic₅	C₂⁴	1	4	yes	—
549	#683	C₂⁴	1	4	yes	—
550	#683	C₂⁴	1	8	yes	—
551	#683	C₂⁴	1	8	yes	—
552	#683	C₂⁴	1	8	yes	—
553	#683	C₂⁴	1	8	yes	—
554	#683	C₂⁴	1	4	yes	—
555	#683	C₂⁴	1	4	yes	—
556	#683	C₂⁴	1	4	yes	—
557	C₄×Dic₅	C₂⁴	1	8	yes	—
558	C₄×Dic₅	C₂⁴	1	8	yes	—
559	C₄×Dic₅	C₂⁴	1	8	yes	—
560	C₄×Dic₅	C₂⁴	1	4	yes	—
561	C₄×Dic₅	C₂⁴	1	4	yes	—
562	C₂²×#41	—	5	1	no	—
563	C₂²×#41	—	5	2	no	—
564	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
565	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
566	C₂³×D₄	—	5	2	no	—
567	C₂³×D₄	—	5	1	no	—
568	C₂³×D₄	—	5	2	no	—
569	C₂³×D₄	—	5	1	no	—
570	C₂⁴×C₄	—	5	1	no	—
571	#562	—	5	32	no	—
572	#560	—	5	32	no	—
573	#555	—	5	16	no	—
574	#553	—	5	16	no	—
575	#552	—	5	16	no	—
576	#551	—	5	32	no	—
577	#550	—	5	16	no	—
578	#547	—	5	16	no	—
579	#546	—	5	16	no	—
580	#546	—	5	16	no	—
581	#546	—	5	32	no	—
582	D₄²	—	5	16	no	—
583	#542	—	5	16	no	—
584	#540	—	5	32	no	—
585	#540	—	5	16	no	—
586	#538	—	5	32	no	—
587	#537	C₂×D₅	1	16	yes	complemented
588	#535	—	5	16	no	—
589	#535	—	5	32	no	—
590	#534	—	5	32	no	—
591	C₂×C₄⋊Q₈	—	5	1	no	—
592	C₂×#127	—	5	2	no	—
593	C₂×#127	—	5	2	no	—
594	C₂×#127	—	5	1	no	—
595	C₂×#126	—	5	2	no	—
596	C₂×#126	—	5	2	no	—
597	C₂×#126	—	5	2	no	—
598	C₂×#125	—	5	2	no	—
599	C₂×#125	—	5	1	no	—
600	C₂×#124	—	5	2	no	—
601	C₂×#124	—	5	1	no	—
602	C₂×#124	—	5	2	no	—
603	C₂×#124	—	5	2	no	—
604	C₂×#124	—	5	2	no	—
605	#525	—	5	16	no	—
606	#525	—	5	16	no	—
607	C₂×#123	—	5	1	no	—
608	C₂×#123	—	5	1	no	—
609	C₂×#123	—	5	2	no	—
610	C₂×#123	—	5	2	no	—
611	C₂×#123	—	5	2	no	—
612	C₂×#123	—	5	2	no	—
613	C₂×#123	—	5	2	no	—
614	C₂×#123	—	5	2	no	—
615	C₂×#123	—	5	2	no	—
616	C₂×#123	—	5	2	no	—
617	C₂×#123	—	5	2	no	—
618	C₂×#123	—	5	2	no	—
619	C₂×C₂²⋊Q₈	—	5	1	no	—
620	C₂×C₂²⋊Q₈	—	5	1	no	—
621	C₂×C₂²⋊Q₈	—	5	1	no	—
622	C₂×C₂²⋊Q₈	—	5	2	no	—
623	C₂×C₂²⋊Q₈	—	5	2	no	—
624	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
625	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
626	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
627	C₂×#121	—	5	1	no	—
628	C₂×#121	—	5	1	no	—
629	C₂×#121	—	5	1	no	—
630	C₂×#121	—	5	2	no	—
631	C₂×#121	—	5	2	no	—
632	C₂×#121	—	5	2	no	—
633	C₂×#121	—	5	2	no	—
634	C₂×#121	—	5	2	no	—
635	C₂×#121	—	5	2	no	—
636	C₂×#121	—	5	1	no	—
637	C₂×#121	—	5	1	no	—
638	C₂×#121	—	5	2	no	—
639	C₂×#121	—	5	1	no	—
640	C₂×#121	—	5	1	no	—
641	C₂×#121	—	5	2	no	—
642	C₂×#121	—	5	16	no	—
643	C₂×#121	—	5	1	no	—
644	C₂×#121	—	5	1	no	—
645	C₂×#121	—	5	2	no	—
646	C₂×#121	—	5	2	no	—
647	C₂×#121	—	5	2	no	—
648	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
649	C₂×#121	C₂×D₅	1	2	yes	complemented
650	C₂×#121	C₂×D₅	1	2	yes	complemented
651	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
652	C₂×#121	C₂×D₅	1	2	yes	complemented
653	C₂×#120	—	5	1	no	—
654	C₂×#120	—	5	1	no	—
655	C₂×#120	—	5	2	no	—
656	C₂×#120	—	5	2	no	—
657	C₂×#120	—	5	2	no	—
658	C₂×#120	—	5	2	no	—
659	C₂×#120	—	5	2	no	—
660	C₂×#120	—	5	2	no	—
661	C₂×#120	—	5	2	no	—
662	C₂×C₄×Q₈	—	5	1	no	—
663	C₂×C₄×D₄	—	5	1	no	—
664	C₂×C₄×D₄	—	5	1	no	—
665	C₂×C₄×D₄	—	5	1	no	—
666	C₂×C₄×D₄	—	5	1	no	—
667	C₂×C₄×D₄	—	5	1	no	—
668	C₂×C₄×D₄	—	5	2	no	—
669	C₂×C₄×D₄	—	5	2	no	—
670	C₂×C₄×D₄	—	5	2	no	—
671	C₂×C₄×D₄	—	5	1	no	—
672	C₂×C₄×D₄	—	5	1	no	—
673	C₂×C₄×D₄	—	5	2	no	—
674	C₂×#117	—	5	1	no	—
675	C₂×#117	—	5	1	no	—
676	C₂×#117	—	5	1	no	—
677	C₂×#117	—	5	2	no	—
678	C₂×#117	—	5	2	no	—
679	C₂²×C₄⋊C₄	—	5	1	no	—
680	C₂²×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
681	C₂²×C₂²⋊C₄	—	5	2	no	—
682	C₂²×C₂²⋊C₄	—	5	2	no	—
683	C₂²×C₂²⋊C₄	—	5	2	no	—
684	C₂³×C₅	—	2	2	no	—
685	C₂³×C₅	—	2	2	no	—
686	C₂³×C₅	—	2	2	no	—
687	C₂³×C₅	—	2	2	no	—
688	C₂³×C₅	—	2	4	no	—
689	C₂³×C₅	—	2	4	no	—
690	C₂³×C₅	—	2	2	no	—
691	C₂³×C₅	—	2	2	no	—
692	C₂³×C₅	—	2	4	no	—
693	C₂³×C₅	—	2	2	no	—
694	C₂³×C₅	—	2	2	no	—
695	C₂³×C₅	—	2	2	no	—
696	C₂³×C₅	C₂⁵	1	2	yes	—
697	C₂³×C₅	C₂⁵	1	2	yes	—
698	C₂³×C₅	C₂⁵	1	4	yes	—
699	C₂³×C₅	C₂⁵	1	2	yes	—
700	C₂³×C₅	C₂⁵	1	1	yes	characteristic
701	C₂²×D₅	—	2	2	no	—
702	C₂²×D₅	—	2	2	no	—
703	C₂²×D₅	—	2	2	no	—
704	C₂²×D₅	—	2	4	no	—
705	C₂²×D₅	—	2	4	no	—
706	C₂²×D₅	—	2	4	no	—
707	C₂²×D₅	—	2	4	no	—
708	C₂²×D₅	—	2	2	no	—
709	C₂²×D₅	—	2	2	no	—
710	C₂²×D₅	—	2	4	no	—
711	C₂²×D₅	—	2	4	no	—
712	C₂²×D₅	—	2	8	no	—
713	C₂²×D₅	—	2	16	no	—
714	C₂²×D₅	—	4	4	no	—
715	C₂²×D₅	—	4	4	no	—
716	C₂²×D₅	—	4	8	no	—
717	C₂²×D₅	—	4	8	no	—
718	C₂²×D₅	—	4	8	no	—
719	C₂²×D₅	—	4	8	no	—
720	C₂²×D₅	—	4	8	no	—
721	C₂²×D₅	—	4	16	no	—
722	C₂²×D₅	—	8	16	no	—
723	C₂²×D₅	—	8	16	no	—
724	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
725	C₂²×D₅	C₂⁵	1	4	yes	—
726	C₂²×D₅	C₂⁵	1	2	yes	—
727	C₂²×D₅	C₂⁵	1	4	yes	—
728	C₂²×D₅	C₂⁵	1	2	yes	—
729	C₅×Q₈	—	2	8	no	—
730	C₅×Q₈	—	4	4	no	—
731	C₅×D₄	—	2	8	no	—
732	C₅×D₄	—	4	8	no	—
733	C₅×D₄	—	4	8	no	—
734	C₅×D₄	—	4	4	no	—
735	C₅×D₄	—	4	8	no	—
736	C₅×D₄	—	4	4	no	—
737	C₅×D₄	—	4	4	no	—
738	C₂×C₄×C₅	—	2	4	no	—
739	C₂×C₄×C₅	—	2	4	no	—
740	C₂×C₄×C₅	—	2	2	no	—
741	C₂×C₄×C₅	—	2	4	no	—
742	C₂×C₄×C₅	—	2	2	no	—
743	C₂×C₄×C₅	—	2	2	no	—
744	C₂×C₄×C₅	—	2	8	no	—
745	C₂×C₄×C₅	—	2	8	no	—
746	C₂×C₄×C₅	—	2	8	no	—
747	C₂×C₄×C₅	—	4	8	no	—
748	C₂×C₄×C₅	—	4	8	no	—
749	C₂×C₄×C₅	H(5,𝔽₂)	1	4	yes	—
750	C₂×C₄×C₅	C₂⁵	1	2	yes	—
751	C₂×C₄×C₅	C₂⁵	1	4	yes	—
752	C₂×C₄×C₅	C₂⁵	1	4	yes	—
753	C₂×C₄×C₅	C₂⁵	1	4	yes	—
754	C₂×C₄×C₅	C₂⁵	1	2	yes	—
755	C₂×C₄×C₅	C₂⁵	1	2	yes	—
756	C₂×C₄×C₅	C₂⁵	1	2	yes	—
757	C₂²⋊D₅	—	2	8	no	—
758	C₂²⋊D₅	—	2	8	no	—
759	C₂²⋊D₅	—	4	8	no	—
760	C₂²⋊D₅	—	4	8	no	—
761	C₂²⋊D₅	—	4	8	no	—
762	C₂²⋊D₅	—	4	8	no	—
763	C₂²⋊D₅	—	4	8	no	—
764	C₂²⋊D₅	—	4	4	no	—
765	C₂²⋊D₅	—	4	8	no	—
766	C₂²⋊D₅	—	4	8	no	—
767	C₂²⋊D₅	—	4	8	no	—
768	C₂²⋊D₅	—	4	4	no	—
769	C₂×Dic₅	—	2	2	no	—
770	C₂×Dic₅	—	2	4	no	—
771	C₂×Dic₅	—	2	2	no	—
772	C₂×Dic₅	—	2	2	no	—
773	C₂×Dic₅	—	2	2	no	—
774	C₂×Dic₅	—	2	2	no	—
775	C₂×Dic₅	—	2	4	no	—
776	C₂×Dic₅	—	2	2	no	—
777	C₂×Dic₅	—	4	4	no	—
778	C₂×Dic₅	—	4	8	no	—
779	C₂×Dic₅	C₂⁵	1	2	yes	—
780	C₂×Dic₅	C₂⁵	1	4	yes	—
781	C₂×Dic₅	C₂⁵	1	4	yes	—
782	C₂×Dic₅	C₂⁵	1	2	yes	—
783	C₂×Dic₅	C₂⁵	1	2	yes	—
784	C₂×Dic₅	C₂⁵	1	2	yes	—
785	C₂×Dic₅	C₂⁵	1	2	yes	—
786	C₂×Dic₅	C₂⁵	1	2	yes	—
787	D₂₀	—	2	16	no	—
788	D₂₀	—	2	8	no	—
789	D₂₀	—	2	8	no	—
790	D₂₀	—	4	8	no	—
791	D₂₀	—	4	8	no	—
792	D₂₀	—	4	8	no	—
793	C₄×D₅	—	2	16	no	—
794	C₄×D₅	—	2	8	no	—
795	C₄×D₅	—	2	8	no	—
796	C₄×D₅	—	4	4	no	—
797	C₄×D₅	—	4	4	no	—
798	C₄×D₅	—	4	8	no	—
799	C₄×D₅	—	4	8	no	—
800	C₄×D₅	—	4	8	no	—
801	Dic₁₀	—	4	8	no	—
802	C₂⁵	—	5	2	no	—
803	C₂⁵	—	5	1	no	—
804	C₂⁵	—	5	2	no	—
805	C₂×#41	—	4	4	no	—
806	C₂×#41	—	4	4	no	—
807	C₂×#41	—	5	8	no	—
808	C₂×#41	—	5	16	no	—
809	C₂×#41	—	20	8	no	—
810	C₂×#41	—	20	4	no	—
811	C₂×#41	C₂²×D₅	1	8	yes	complemented
812	C₂×#41	C₂²×D₅	1	8	yes	complemented
813	C₂²×Q₈	—	5	2	no	—
814	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
815	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
816	C₂²×D₄	—	5	1	no	—
817	C₂²×D₄	—	5	1	no	—
818	C₂²×D₄	—	5	1	no	—
819	C₂²×D₄	—	5	2	no	—
820	C₂²×D₄	—	5	2	no	—
821	C₂²×D₄	—	5	2	no	—
822	C₂²×D₄	—	5	1	no	—
823	C₂²×D₄	—	5	2	no	—
824	C₂²×D₄	—	5	2	no	—
825	C₂²×D₄	—	5	2	no	—
826	C₂²×D₄	—	5	2	no	—
827	C₂²×D₄	—	5	2	no	—
828	C₂²×D₄	—	5	16	no	—
829	C₂²×D₄	—	5	8	no	—
830	C₂²×D₄	—	5	16	no	—
831	C₂²×D₄	—	5	2	no	—
832	C₂²×D₄	—	5	1	no	—
833	C₂²×D₄	—	5	1	no	—
834	C₂²×D₄	—	5	2	no	—
835	C₂²×D₄	—	5	2	no	—
836	C₂²×D₄	—	5	2	no	—
837	C₂²×D₄	—	5	8	no	—
838	C₂²×D₄	—	20	4	no	—
839	C₂²×D₄	—	20	4	no	—
840	C₂²×D₄	—	20	8	no	—
841	C₂²×D₄	—	20	8	no	—
842	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
843	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
844	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
845	C₂²×D₄	C₂²×D₅	1	2	yes	—
846	C₂²×D₄	C₂²×D₅	1	2	yes	—
847	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
848	C₂²×D₄	C₂²×D₅	1	2	yes	—
849	C₂³×C₄	—	5	2	no	—
850	C₂³×C₄	—	5	1	no	—
851	C₂³×C₄	—	5	2	no	—
852	C₂³×C₄	—	5	1	no	—
853	C₂³×C₄	—	5	1	no	—
854	C₂³×C₄	—	5	1	no	—
855	C₂³×C₄	—	5	2	no	—
856	C₂³×C₄	—	5	2	no	—
857	C₂³×C₄	—	5	2	no	—
858	C₂³×C₄	—	5	1	no	—
859	C₂³×C₄	—	5	8	no	—
860	C₂³×C₄	—	20	4	no	—
861	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
862	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
863	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
864	C₂³×C₄	C₂²×D₅	1	2	yes	—
865	C₂³×C₄	C₂²×D₅	1	2	yes	—
866	C₄⋊Q₈	—	5	8	no	—
867	#127	—	5	16	no	—
868	#127	—	5	16	no	—
869	#127	—	5	8	no	—
870	#126	—	5	16	no	—
871	#126	—	5	16	no	—
872	#126	—	5	16	no	—
873	#125	—	5	8	no	—
874	#125	—	5	16	no	—
875	#124	—	5	16	no	—
876	#124	—	5	8	no	—
877	#124	—	5	16	no	—
878	#124	—	5	16	no	—
879	#124	—	5	16	no	—
880	#123	—	5	8	no	—
881	#123	—	5	8	no	—
882	#123	—	5	16	no	—
883	#123	—	5	16	no	—
884	#123	—	5	16	no	—
885	#123	—	5	16	no	—
886	#123	—	5	16	no	—
887	#123	—	5	16	no	—
888	#123	—	5	16	no	—
889	#123	—	5	16	no	—
890	#123	—	5	16	no	—
891	#123	—	5	16	no	—
892	C₂²⋊Q₈	—	5	8	no	—
893	C₂²⋊Q₈	—	5	8	no	—
894	C₂²⋊Q₈	—	5	8	no	—
895	C₂²⋊Q₈	—	5	16	no	—
896	C₂²⋊Q₈	—	5	16	no	—
897	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
898	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
899	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
900	#121	—	5	16	no	—
901	#121	—	5	8	no	—
902	#121	—	5	8	no	—
903	#121	—	5	8	no	—
904	#121	—	5	16	no	—
905	#121	—	5	16	no	—
906	#121	—	5	16	no	—
907	#121	—	5	16	no	—
908	#121	—	5	16	no	—
909	#121	—	5	8	no	—
910	#121	—	5	8	no	—
911	#121	—	5	16	no	—
912	#121	—	5	8	no	—
913	#121	—	5	8	no	—
914	#121	—	5	16	no	—
915	#121	—	5	8	no	—
916	#121	—	5	8	no	—
917	#121	—	5	16	no	—
918	#121	—	5	16	no	—
919	#121	—	5	16	no	—
920	#121	C₂²×D₅	1	8	yes	complemented
921	#121	C₂²×D₅	1	16	yes	complemented
922	#121	C₂²×D₅	1	16	yes	complemented
923	#121	C₂²×D₅	1	8	yes	complemented
924	#121	C₂²×D₅	1	16	yes	complemented
925	#120	—	5	8	no	—
926	#120	—	5	8	no	—
927	#120	—	5	16	no	—
928	#120	—	5	16	no	—
929	#120	—	5	16	no	—
930	#120	—	5	16	no	—
931	#120	—	5	16	no	—
932	#120	—	5	16	no	—
933	#120	—	5	16	no	—
934	C₄×Q₈	—	5	8	no	—
935	C₄×D₄	—	5	8	no	—
936	C₄×D₄	—	5	8	no	—
937	C₄×D₄	—	5	8	no	—
938	C₄×D₄	—	5	8	no	—
939	C₄×D₄	—	5	8	no	—
940	C₄×D₄	—	5	16	no	—
941	C₄×D₄	—	5	16	no	—
942	C₄×D₄	—	5	16	no	—
943	C₄×D₄	—	5	8	no	—
944	C₄×D₄	—	5	8	no	—
945	C₄×D₄	—	5	16	no	—
946	#117	—	5	8	no	—
947	#117	—	5	8	no	—
948	#117	—	5	8	no	—
949	#117	—	5	16	no	—
950	#117	—	5	16	no	—
951	C₂×C₄⋊C₄	—	5	1	no	—
952	C₂×C₄⋊C₄	—	5	2	no	—
953	C₂×C₄⋊C₄	—	5	1	no	—
954	C₂×C₄⋊C₄	—	5	1	no	—
955	C₂×C₄⋊C₄	—	5	2	no	—
956	C₂×C₄⋊C₄	—	5	1	no	—
957	C₂×C₄⋊C₄	—	5	1	no	—
958	C₂×C₄⋊C₄	—	5	2	no	—
959	C₂×C₄⋊C₄	—	5	1	no	—
960	C₂×C₄⋊C₄	—	5	1	no	—
961	C₂×C₄⋊C₄	—	5	2	no	—
962	C₂×C₄⋊C₄	—	5	2	no	—
963	C₂×C₄⋊C₄	—	5	1	no	—
964	C₂×C₄⋊C₄	—	5	2	no	—
965	C₂×C₄⋊C₄	—	5	8	no	—
966	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
969	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
970	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
971	C₂×C₄⋊C₄	C₂²×D₅	1	8	yes	complemented
972	C₂×C₂²⋊C₄	—	5	1	no	—
973	C₂×C₂²⋊C₄	—	5	2	no	—
974	C₂×C₂²⋊C₄	—	5	2	no	—
975	C₂×C₂²⋊C₄	—	5	1	no	—
976	C₂×C₂²⋊C₄	—	5	1	no	—
977	C₂×C₂²⋊C₄	—	5	1	no	—
978	C₂×C₂²⋊C₄	—	5	1	no	—
979	C₂×C₂²⋊C₄	—	5	2	no	—
980	C₂×C₂²⋊C₄	—	5	1	no	—
981	C₂×C₂²⋊C₄	—	5	1	no	—
982	C₂×C₂²⋊C₄	—	5	2	no	—
983	C₂×C₂²⋊C₄	—	5	2	no	—
984	C₂×C₂²⋊C₄	—	5	2	no	—
985	C₂×C₂²⋊C₄	—	5	2	no	—
986	C₂×C₂²⋊C₄	—	5	2	no	—
987	C₂×C₂²⋊C₄	—	5	2	no	—
988	C₂×C₂²⋊C₄	—	5	16	no	—
989	C₂×C₂²⋊C₄	—	5	1	no	—
990	C₂×C₂²⋊C₄	—	5	2	no	—
991	C₂×C₂²⋊C₄	—	5	2	no	—
992	C₂×C₂²⋊C₄	—	5	1	no	—
993	C₂×C₂²⋊C₄	—	5	2	no	—
994	C₂×C₂²⋊C₄	—	5	2	no	—
995	C₂×C₂²⋊C₄	—	5	1	no	—
996	C₂×C₂²⋊C₄	—	5	2	no	—
997	C₂×C₂²⋊C₄	—	5	2	no	—
998	C₂×C₂²⋊C₄	—	5	16	no	—
999	C₂×C₂²⋊C₄	—	5	16	no	—
1000	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1002	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1004	C₂×C₄²	—	5	2	no	—
1005	C₂×C₄²	—	5	2	no	—
1006	C₂×C₄²	—	5	1	no	—
1007	C₂×C₄²	—	5	1	no	—
1008	C₂×C₄²	—	5	2	no	—
1009	C₂²×C₅	—	2	2	no	—
1010	C₂²×C₅	—	2	2	no	—
1011	C₂²×C₅	—	2	2	no	—
1012	C₂²×C₅	—	2	2	no	—
1013	C₂²×C₅	—	2	4	no	—
1014	C₂²×C₅	—	2	4	no	—
1015	C₂²×C₅	—	2	2	no	—
1016	C₂²×C₅	—	2	2	no	—
1017	C₂²×C₅	—	2	4	no	—
1018	C₂²×C₅	—	2	2	no	—
1019	C₂²×C₅	—	2	2	no	—
1020	C₂²×C₅	—	2	2	no	—
1021	C₂²×C₅	—	4	4	no	—
1022	C₂²×C₅	—	4	4	no	—
1023	C₂²×C₅	—	4	8	no	—
1024	C₂²×C₅	—	4	4	no	—
1025	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1026	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1027	C₂²×C₅	#585	1	2	yes	—
1028	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1029	C₂×D₅	—	2	2	no	—
1030	C₂×D₅	—	2	2	no	—
1031	C₂×D₅	—	2	8	no	—
1032	C₂×D₅	—	2	2	no	—
1033	C₂×D₅	—	2	4	no	—
1034	C₂×D₅	—	2	4	no	—
1035	C₂×D₅	—	2	4	no	—
1036	C₂×D₅	—	2	4	no	—
1037	C₂×D₅	—	2	2	no	—
1038	C₂×D₅	—	2	2	no	—
1039	C₂×D₅	—	2	4	no	—
1040	C₂×D₅	—	2	4	no	—
1041	C₂×D₅	—	4	16	no	—
1042	C₂×D₅	—	4	4	no	—
1043	C₂×D₅	—	4	8	no	—
1044	C₂×D₅	—	4	8	no	—
1045	C₂×D₅	—	8	16	no	—
1046	C₂×D₅	—	8	16	no	—
1047	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1048	C₄×C₅	—	2	4	no	—
1049	C₄×C₅	—	2	4	no	—
1050	C₄×C₅	—	2	2	no	—
1051	C₄×C₅	—	2	4	no	—
1052	C₄×C₅	—	2	2	no	—
1053	C₄×C₅	—	2	2	no	—
1054	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1055	Dic₅	—	2	2	no	—
1056	Dic₅	—	2	4	no	—
1057	Dic₅	—	2	2	no	—
1058	Dic₅	—	2	2	no	—
1059	Dic₅	—	2	2	no	—
1060	Dic₅	—	2	2	no	—
1061	Dic₅	—	2	4	no	—
1062	Dic₅	—	2	2	no	—
1063	C₂⁴	—	5	1	no	—
1064	C₂⁴	—	5	2	no	—
1065	C₂⁴	—	5	1	no	—
1066	C₂⁴	—	5	2	no	—
1067	C₂⁴	—	5	8	no	—
1068	C₂⁴	—	5	4	no	—
1069	C₂⁴	—	5	8	no	—
1070	C₂⁴	—	10	4	no	—
1071	C₂⁴	—	10	8	no	—
1072	C₂⁴	—	20	2	no	—
1073	C₂⁴	—	20	2	no	—
1074	C₂⁴	—	20	4	no	—
1075	C₂⁴	—	20	4	no	—
1076	C₂⁴	—	20	4	no	—
1077	C₂⁴	—	20	4	no	—
1078	C₂⁴	—	20	4	no	—
1079	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1080	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1081	C₂⁴	C₂³×D₅	1	2	yes	—
1082	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1083	#41	—	4	16	no	—
1084	#41	—	4	16	no	—
1085	#41	—	20	32	no	—
1086	#41	—	20	16	no	—
1087	C₂×Q₈	—	2	4	no	—
1088	C₂×Q₈	—	4	2	no	—
1089	C₂×Q₈	—	5	8	no	—
1090	C₂×Q₈	—	20	4	no	—
1091	C₂×Q₈	C₂³×D₅	1	4	yes	—
1092	C₂×Q₈	C₂³×D₅	1	4	yes	—
1093	C₂×D₄	—	2	4	no	—
1094	C₂×D₄	—	4	4	no	—
1095	C₂×D₄	—	4	4	no	—
1096	C₂×D₄	—	4	2	no	—
1097	C₂×D₄	—	4	2	no	—
1098	C₂×D₄	—	4	2	no	—
1099	C₂×D₄	—	4	4	no	—
1100	C₂×D₄	—	5	4	no	—
1101	C₂×D₄	—	5	4	no	—
1102	C₂×D₄	—	5	4	no	—
1103	C₂×D₄	—	5	8	no	—
1104	C₂×D₄	—	5	8	no	—
1105	C₂×D₄	—	5	8	no	—
1106	C₂×D₄	—	5	4	no	—
1107	C₂×D₄	—	5	8	no	—
1108	C₂×D₄	—	5	8	no	—
1109	C₂×D₄	—	5	8	no	—
1110	C₂×D₄	—	5	8	no	—
1111	C₂×D₄	—	5	8	no	—
1112	C₂×D₄	—	5	8	no	—
1113	C₂×D₄	—	5	4	no	—
1114	C₂×D₄	—	5	4	no	—
1115	C₂×D₄	—	5	8	no	—
1116	C₂×D₄	—	5	8	no	—
1117	C₂×D₄	—	5	8	no	—
1118	C₂×D₄	—	10	8	no	—
1119	C₂×D₄	—	10	4	no	—
1120	C₂×D₄	—	10	4	no	—
1121	C₂×D₄	—	10	4	no	—
1122	C₂×D₄	—	10	4	no	—
1123	C₂×D₄	—	20	16	no	—
1124	C₂×D₄	—	20	4	no	—
1125	C₂×D₄	—	20	4	no	—
1126	C₂×D₄	—	20	4	no	—
1127	C₂×D₄	—	20	16	no	—
1128	C₂×D₄	—	20	32	no	—
1129	C₂×D₄	—	20	4	no	—
1130	C₂×D₄	—	20	4	no	—
1131	C₂×D₄	—	20	4	no	—
1132	C₂×D₄	—	20	4	no	—
1133	C₂×D₄	—	20	4	no	—
1134	C₂×D₄	—	20	2	no	—
1135	C₂×D₄	—	20	4	no	—
1136	C₂×D₄	—	20	4	no	—
1137	C₂×D₄	—	20	4	no	—
1138	C₂×D₄	—	20	2	no	—
1139	C₂×D₄	—	20	32	no	—
1140	C₂×D₄	C₂³×D₅	1	4	yes	—
1141	C₂×D₄	C₂³×D₅	1	4	yes	—
1142	C₂×D₄	C₂³×D₅	1	4	yes	—
1143	C₂×D₄	C₂³×D₅	1	8	yes	—
1144	C₂×D₄	C₂³×D₅	1	8	yes	—
1145	C₂×D₄	C₂³×D₅	1	4	yes	—
1146	C₂×D₄	C₂³×D₅	1	8	yes	—
1147	C₂²×C₄	—	2	4	no	—
1148	C₂²×C₄	—	2	4	no	—
1149	C₂²×C₄	—	2	4	no	—
1150	C₂²×C₄	—	4	4	no	—
1151	C₂²×C₄	—	4	4	no	—
1152	C₂²×C₄	—	5	1	no	—
1153	C₂²×C₄	—	5	2	no	—
1154	C₂²×C₄	—	5	1	no	—
1155	C₂²×C₄	—	5	2	no	—
1156	C₂²×C₄	—	5	1	no	—
1157	C₂²×C₄	—	5	1	no	—
1158	C₂²×C₄	—	5	1	no	—
1159	C₂²×C₄	—	5	1	no	—
1160	C₂²×C₄	—	5	8	no	—
1161	C₂²×C₄	—	5	4	no	—
1162	C₂²×C₄	—	5	8	no	—
1163	C₂²×C₄	—	5	4	no	—
1164	C₂²×C₄	—	5	4	no	—
1165	C₂²×C₄	—	5	4	no	—
1166	C₂²×C₄	—	5	8	no	—
1167	C₂²×C₄	—	5	8	no	—
1168	C₂²×C₄	—	5	8	no	—
1169	C₂²×C₄	—	5	4	no	—
1170	C₂²×C₄	—	10	8	no	—
1171	C₂²×C₄	—	10	4	no	—
1172	C₂²×C₄	—	10	4	no	—
1173	C₂²×C₄	—	20	16	no	—
1174	C₂²×C₄	—	20	2	no	—
1175	C₂²×C₄	—	20	2	no	—
1176	C₂²×C₄	—	20	4	no	—
1177	C₂²×C₄	—	20	4	no	—
1178	C₂²×C₄	—	20	4	no	—
1179	C₂²×C₄	—	20	2	no	—
1180	C₂²×C₄	—	20	4	no	—
1181	C₂²×C₄	C₂³×D₅	1	4	yes	—
1182	C₂²×C₄	C₂³×D₅	1	4	yes	—
1183	C₂²×C₄	C₂³×D₅	1	4	yes	—
1184	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₅	1	2	yes	—
1186	C₂²×C₄	C₂³×D₅	1	2	yes	—
1187	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₅	1	2	yes	—
1190	C₂²×C₄	C₂³×D₅	1	8	yes	—
1191	C₂²×C₄	C₂³×D₅	1	8	yes	—
1192	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1193	C₄⋊C₄	—	5	4	no	—
1194	C₄⋊C₄	—	5	8	no	—
1195	C₄⋊C₄	—	5	4	no	—
1196	C₄⋊C₄	—	5	4	no	—
1197	C₄⋊C₄	—	5	8	no	—
1198	C₄⋊C₄	—	5	4	no	—
1199	C₄⋊C₄	—	5	4	no	—
1200	C₄⋊C₄	—	5	8	no	—
1201	C₄⋊C₄	—	5	4	no	—
1202	C₄⋊C₄	—	5	4	no	—
1203	C₄⋊C₄	—	5	8	no	—
1204	C₄⋊C₄	—	5	8	no	—
1205	C₄⋊C₄	—	5	4	no	—
1206	C₄⋊C₄	—	5	8	no	—
1207	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1208	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1209	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1210	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1211	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1212	C₂²⋊C₄	—	5	4	no	—
1213	C₂²⋊C₄	—	5	8	no	—
1214	C₂²⋊C₄	—	5	8	no	—
1215	C₂²⋊C₄	—	5	4	no	—
1216	C₂²⋊C₄	—	5	4	no	—
1217	C₂²⋊C₄	—	5	4	no	—
1218	C₂²⋊C₄	—	5	4	no	—
1219	C₂²⋊C₄	—	5	8	no	—
1220	C₂²⋊C₄	—	5	4	no	—
1221	C₂²⋊C₄	—	5	4	no	—
1222	C₂²⋊C₄	—	5	8	no	—
1223	C₂²⋊C₄	—	5	8	no	—
1224	C₂²⋊C₄	—	5	8	no	—
1225	C₂²⋊C₄	—	5	8	no	—
1226	C₂²⋊C₄	—	5	8	no	—
1227	C₂²⋊C₄	—	5	8	no	—
1228	C₂²⋊C₄	—	5	4	no	—
1229	C₂²⋊C₄	—	5	8	no	—
1230	C₂²⋊C₄	—	5	8	no	—
1231	C₂²⋊C₄	—	5	4	no	—
1232	C₂²⋊C₄	—	5	8	no	—
1233	C₂²⋊C₄	—	5	8	no	—
1234	C₂²⋊C₄	—	5	4	no	—
1235	C₂²⋊C₄	—	5	8	no	—
1236	C₂²⋊C₄	—	5	8	no	—
1237	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1238	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1239	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1240	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1241	C₄²	—	5	8	no	—
1242	C₄²	—	5	8	no	—
1243	C₄²	—	5	4	no	—
1244	C₄²	—	5	4	no	—
1245	C₄²	—	5	8	no	—
1246	C₂×C₅	—	4	2	no	—
1247	C₂×C₅	—	4	2	no	—
1248	C₂×C₅	—	4	4	no	—
1249	C₂×C₅	—	4	2	no	—
1250	C₂×C₅	#3542	1	4	yes	complemented
1251	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1252	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1253	C₂×C₅	C₂×#585	1	1	yes	characteristic
1254	D₅	—	2	4	no	—
1255	D₅	—	4	2	no	—
1256	D₅	—	4	4	no	—
1257	D₅	—	4	4	no	—
1258	C₂³	—	2	2	no	—
1259	C₂³	—	2	2	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	4	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	4	no	—
1266	C₂³	—	2	4	no	—
1267	C₂³	—	2	2	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	5	4	no	—
1271	C₂³	—	5	2	no	—
1272	C₂³	—	5	4	no	—
1273	C₂³	—	5	2	no	—
1274	C₂³	—	5	4	no	—
1275	C₂³	—	10	8	no	—
1276	C₂³	—	10	16	no	—
1277	C₂³	—	10	2	no	—
1278	C₂³	—	10	2	no	—
1279	C₂³	—	10	2	no	—
1280	C₂³	—	10	4	no	—
1281	C₂³	—	10	4	no	—
1282	C₂³	—	10	4	no	—
1283	C₂³	—	10	4	no	—
1284	C₂³	—	10	2	no	—
1285	C₂³	—	10	2	no	—
1286	C₂³	—	10	4	no	—
1287	C₂³	—	10	4	no	—
1288	C₂³	—	20	4	no	—
1289	C₂³	—	20	4	no	—
1290	C₂³	—	20	8	no	—
1291	C₂³	—	20	8	no	—
1292	C₂³	—	20	8	no	—
1293	C₂³	—	20	8	no	—
1294	C₂³	—	20	8	no	—
1295	C₂³	—	20	16	no	—
1296	C₂³	—	40	16	no	—
1297	C₂³	—	40	16	no	—
1298	C₂³	C₂⁴×D₅	1	2	yes	—
1299	C₂³	C₂⁴×D₅	1	2	yes	—
1300	C₂³	C₂⁴×D₅	1	4	yes	—
1301	C₂³	C₂⁴×D₅	1	2	yes	—
1302	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1303	Q₈	—	2	8	no	—
1304	Q₈	—	4	4	no	—
1305	Q₈	—	20	8	no	—
1306	D₄	—	2	8	no	—
1307	D₄	—	4	8	no	—
1308	D₄	—	4	8	no	—
1309	D₄	—	4	4	no	—
1310	D₄	—	4	4	no	—
1311	D₄	—	4	4	no	—
1312	D₄	—	4	8	no	—
1313	D₄	—	10	16	no	—
1314	D₄	—	10	8	no	—
1315	D₄	—	10	8	no	—
1316	D₄	—	10	8	no	—
1317	D₄	—	10	8	no	—
1318	D₄	—	20	8	no	—
1319	D₄	—	20	8	no	—
1320	D₄	—	20	8	no	—
1321	D₄	—	20	8	no	—
1322	D₄	—	20	8	no	—
1323	D₄	—	20	8	no	—
1324	D₄	—	20	8	no	—
1325	D₄	—	20	8	no	—
1326	D₄	—	20	4	no	—
1327	D₄	—	20	8	no	—
1328	D₄	—	20	8	no	—
1329	D₄	—	20	8	no	—
1330	D₄	—	20	4	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	4	no	—
1335	C₂×C₄	—	2	4	no	—
1336	C₂×C₄	—	2	4	no	—
1337	C₂×C₄	—	2	8	no	—
1338	C₂×C₄	—	2	8	no	—
1339	C₂×C₄	—	2	8	no	—
1340	C₂×C₄	—	4	8	no	—
1341	C₂×C₄	—	4	8	no	—
1342	C₂×C₄	—	5	2	no	—
1343	C₂×C₄	—	5	4	no	—
1344	C₂×C₄	—	5	2	no	—
1345	C₂×C₄	—	5	4	no	—
1346	C₂×C₄	—	5	2	no	—
1347	C₂×C₄	—	5	2	no	—
1348	C₂×C₄	—	5	2	no	—
1349	C₂×C₄	—	5	2	no	—
1350	C₂×C₄	—	10	16	no	—
1351	C₂×C₄	—	10	2	no	—
1352	C₂×C₄	—	10	2	no	—
1353	C₂×C₄	—	10	4	no	—
1354	C₂×C₄	—	10	2	no	—
1355	C₂×C₄	—	10	2	no	—
1356	C₂×C₄	—	10	2	no	—
1357	C₂×C₄	—	10	4	no	—
1358	C₂×C₄	—	10	2	no	—
1359	C₂×C₄	—	10	8	no	—
1360	C₂×C₄	—	10	8	no	—
1361	C₂×C₄	—	20	4	no	—
1362	C₂×C₄	—	20	4	no	—
1363	C₂×C₄	—	20	8	no	—
1364	C₂×C₄	—	20	8	no	—
1365	C₂×C₄	—	20	8	no	—
1366	C₂×C₄	—	20	4	no	—
1367	C₂×C₄	—	20	8	no	—
1368	C₂×C₄	#4144	1	4	yes	—
1369	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1370	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1371	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1372	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1373	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1374	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1375	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1376	C₅	C₂×#3542	1	1	yes	characteristic, complemented, Sylow
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	4	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	4	no	—
1385	C₂²	—	2	4	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	4	4	no	—
1391	C₂²	—	4	8	no	—
1392	C₂²	—	4	4	no	—
1393	C₂²	—	5	4	no	—
1394	C₂²	—	10	2	no	—
1395	C₂²	—	10	2	no	—
1396	C₂²	—	10	8	no	—
1397	C₂²	—	10	2	no	—
1398	C₂²	—	10	4	no	—
1399	C₂²	—	10	4	no	—
1400	C₂²	—	10	4	no	—
1401	C₂²	—	10	4	no	—
1402	C₂²	—	10	2	no	—
1403	C₂²	—	10	2	no	—
1404	C₂²	—	10	4	no	—
1405	C₂²	—	10	4	no	—
1406	C₂²	—	20	16	no	—
1407	C₂²	—	20	4	no	—
1408	C₂²	—	20	8	no	—
1409	C₂²	—	20	8	no	—
1410	C₂²	—	40	16	no	—
1411	C₂²	—	40	16	no	—
1412	C₂²	C₂×#4144	1	2	yes	—
1413	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1414	C₂²	#66287	1	2	yes	—
1415	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	4	no	—
1420	C₄	—	2	4	no	—
1421	C₄	—	2	4	no	—
1422	C₄	—	10	2	no	—
1423	C₄	—	10	2	no	—
1424	C₄	—	10	4	no	—
1425	C₄	—	10	2	no	—
1426	C₄	—	10	2	no	—
1427	C₄	—	10	2	no	—
1428	C₄	—	10	4	no	—
1429	C₄	—	10	2	no	—
1430	C₄	C₂×#4144	1	4	yes	—
1431	C₂	—	4	2	no	—
1432	C₂	—	4	2	no	—
1433	C₂	—	4	4	no	—
1434	C₂	—	4	2	no	—
1435	C₂	—	10	4	no	—
1436	C₂	—	20	2	no	—
1437	C₂	—	20	4	no	—
1438	C₂	—	20	4	no	—
1439	C₂	#10618287	1	4	yes	direct product factor
1440	C₂	C₂²×#4144	1	1	yes	characteristic
1441	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1442	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×#537	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#537	D₅
hypocenter	C₅	C₂×#3542
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#537

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#537	C₂	semidirect
2. C₂×#66168	C₂	semidirect
3. C₂×#66163	C₂	semidirect
4. C₂×#66164	C₂	semidirect
5. C₂×#66162	C₂	semidirect
6. #10618287	C₂	direct (N × H)
7. C₂×#65981	C₂	semidirect
8. C₂×#65973	C₂	semidirect
9. C₂×#65971	C₂	semidirect
10. C₂×#65964	C₂	semidirect
11. C₂×#65977	C₂	semidirect
12. C₂×#65961	C₂	semidirect
13. C₂×#65954	C₂	semidirect
14. C₂×#65946	C₂	semidirect
15. C₂×#65943	C₂	semidirect
16. C₂×#65947	C₂	semidirect
17. C₂×#65941	C₂	semidirect
18. C₂×#65939	C₂	semidirect
19. C₂×D₅×#121	C₂	semidirect
20. C₂×#65950	C₂	semidirect
21. C₂×#65949	C₂	semidirect
22. C₂×#65953	C₂	semidirect
23. C₂×#65848	C₂	semidirect
24. C₂×#65841	C₂	semidirect
25. C₂²×C₅×#41	C₂²	semidirect
26. C₂²×C₅×#41	C₂²	semidirect
27. C₂²×#713	C₂²	semidirect
30. C₂²×D₄×D₅	C₂²	semidirect
31. C₂²×#709	C₂²	semidirect
32. C₂³×D₂₀	C₂²	semidirect
33. C₂³×C₄×D₅	C₂²	semidirect
34. C₅×#537	C₂²	semidirect
35. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₅×#121	C₂²	semidirect
39. C₂×C₅×#121	C₂²	semidirect
40. C₂×C₅×#121	C₂²	semidirect
41. C₂×C₅×#121	C₂²	semidirect
42. C₂×C₅×#121	C₂²	semidirect
43. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
44. #66168	C₂²	semidirect
45. #66164	C₂²	semidirect
46. #66163	C₂²	semidirect
47. #66162	C₂²	semidirect
48. C₂×#4093	C₂²	semidirect
49. C₂×#4093	C₂²	semidirect
50. C₂×#4092	C₂²	semidirect
51. C₂×#4092	C₂²	semidirect
52. C₂×#4092	C₂²	semidirect
53. C₂×Q₈×Dic₅	C₂²	semidirect
54. C₂×#4086	C₂²	semidirect
55. C₂×#4086	C₂²	semidirect
56. C₂×#4086	C₂²	semidirect
57. C₂×#4085	C₂²	semidirect
58. C₂×#4085	C₂²	semidirect
59. C₂×#4085	C₂²	semidirect
60. C₂×#4085	C₂²	semidirect
62. C₂×#4084	C₂²	semidirect
63. C₂×#4084	C₂²	semidirect
64. C₂×#4084	C₂²	semidirect
65. C₂×#4084	C₂²	semidirect
67. C₂×#4083	C₂²	semidirect
68. C₂×#4083	C₂²	semidirect
69. C₂×#4083	C₂²	semidirect
70. C₂×#4083	C₂²	semidirect
71. C₂×#4083	C₂²	semidirect
72. C₂×#4082	C₂²	semidirect
73. C₂×#4081	C₂²	semidirect
74. C₂×#4081	C₂²	semidirect
75. C₂×D₄×Dic₅	C₂²	semidirect
77. C₂×#4076	C₂²	semidirect
78. C₂×#4076	C₂²	semidirect
79. C₂×#4076	C₂²	semidirect
80. C₂×#4076	C₂²	semidirect
81. C₂×#4076	C₂²	semidirect
82. C₂×#4075	C₂²	semidirect
83. C₂×#4075	C₂²	semidirect
85. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
86. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
87. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
88. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
89. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
90. C₂²×#685	C₂²	semidirect
91. C₂×#4072	C₂²	semidirect
92. C₂×#4072	C₂²	semidirect
93. #65981	C₂²	semidirect
94. #65977	C₂²	semidirect
95. #65973	C₂²	semidirect
96. #65971	C₂²	semidirect
97. #65964	C₂²	semidirect
98. #65961	C₂²	semidirect
99. #65954	C₂²	semidirect
100. #65953	C₂²	semidirect
101. #65950	C₂²	semidirect
102. #65949	C₂²	semidirect
103. #65947	C₂²	semidirect
104. #65946	C₂²	semidirect
105. #65943	C₂²	semidirect
106. #65941	C₂²	semidirect
107. #65939	C₂²	semidirect
108. D₅×#121	C₂²	semidirect
109. #65848	C₂²	semidirect
110. C₂×#4044	C₂²	semidirect
111. C₂×#4044	C₂²	semidirect
112. C₂×#4043	C₂²	semidirect
113. C₂×#4042	C₂²	semidirect
114. #65841	C₂²	semidirect
117. C₂×#4041	C₂²	semidirect
118. C₂×#4040	C₂²	semidirect
119. C₂×#4040	C₂²	semidirect
120. C₂×#4040	C₂²	semidirect
121. C₂×#4040	C₂²	semidirect
122. C₂×#4039	C₂²	semidirect
123. C₂×#4039	C₂²	semidirect
124. C₂×#4039	C₂²	semidirect
125. C₂×#4038	C₂²	semidirect
126. C₂×#4038	C₂²	semidirect
127. C₂×D₅×C₄⋊C₄	C₂²	semidirect
128. C₂×#4036	C₂²	semidirect
129. C₂×#4035	C₂²	semidirect
130. C₂×#4034	C₂²	semidirect
131. C₂×#4032	C₂²	semidirect
132. C₂×#4031	C₂²	semidirect
133. C₂×#4031	C₂²	semidirect
134. C₂×#4030	C₂²	semidirect
135. C₂×#4030	C₂²	semidirect
137. C₂×#4029	C₂²	semidirect
138. C₂×#4029	C₂²	semidirect
140. C₂×#4028	C₂²	semidirect
141. C₂×#4028	C₂²	semidirect
142. C₂×#4027	C₂²	semidirect
143. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
144. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
145. C₂×#4025	C₂²	semidirect
146. C₂×#4023	C₂²	semidirect
153. C₂×C₅×#41	C₂³	semidirect
154. C₂×C₅×#41	C₂³	semidirect
184. C₂×#713	C₂³	semidirect
190. C₂×D₄×D₅	C₂³	semidirect
192. C₂×#709	C₂³	semidirect
200. C₂²×D₂₀	C₂³	semidirect
210. C₂²×C₄×D₅	C₂³	semidirect
212. C₅×C₂²⋊Q₈	C₂³	semidirect
213. C₅×C₂²⋊Q₈	C₂³	semidirect
214. C₅×C₂²⋊Q₈	C₂³	semidirect
215. C₅×#121	C₂³	semidirect
216. C₅×#121	C₂³	semidirect
217. C₅×#121	C₂³	semidirect
218. C₅×#121	C₂³	semidirect
219. C₅×#121	C₂³	semidirect
225. C₂×C₅×C₄⋊C₄	C₂³	semidirect
239. #4093	C₂³	semidirect
240. #4093	C₂³	semidirect
241. #4092	C₂³	semidirect
242. #4092	C₂³	semidirect
243. #4092	C₂³	semidirect
244. Q₈×Dic₅	C₂³	semidirect
245. #4086	C₂³	semidirect
246. #4086	C₂³	semidirect
247. #4086	C₂³	semidirect
248. #4085	C₂³	semidirect
249. #4085	C₂³	semidirect
250. #4085	C₂³	semidirect
251. #4085	C₂³	semidirect
253. #4084	C₂³	semidirect
254. #4084	C₂³	semidirect
255. #4084	C₂³	semidirect
256. #4084	C₂³	semidirect
258. #4083	C₂³	semidirect
259. #4083	C₂³	semidirect
260. #4083	C₂³	semidirect
261. #4083	C₂³	semidirect
262. #4083	C₂³	semidirect
263. #4082	C₂³	semidirect
264. #4081	C₂³	semidirect
265. #4081	C₂³	semidirect
266. D₄×Dic₅	C₂³	semidirect
268. #4076	C₂³	semidirect
269. #4076	C₂³	semidirect
270. #4076	C₂³	semidirect
271. #4076	C₂³	semidirect
272. #4076	C₂³	semidirect
273. #4075	C₂³	semidirect
274. #4075	C₂³	semidirect
276. C₄×C₂²⋊D₅	C₂³	semidirect
277. C₄×C₂²⋊D₅	C₂³	semidirect
278. C₄×C₂²⋊D₅	C₂³	semidirect
279. C₄×C₂²⋊D₅	C₂³	semidirect
280. C₄×C₂²⋊D₅	C₂³	semidirect
297. C₂×#685	C₂³	semidirect
298. #4072	C₂³	semidirect
299. #4072	C₂³	semidirect
319. #4044	C₂³	semidirect
320. #4044	C₂³	semidirect
321. #4043	C₂³	semidirect
322. #4042	C₂³	semidirect
325. #4041	C₂³	semidirect
326. #4040	C₂³	semidirect
327. #4040	C₂³	semidirect
328. #4040	C₂³	semidirect
329. #4040	C₂³	semidirect
330. #4039	C₂³	semidirect
331. #4039	C₂³	semidirect
332. #4039	C₂³	semidirect
333. #4038	C₂³	semidirect
334. #4038	C₂³	semidirect
335. D₅×C₄⋊C₄	C₂³	semidirect
336. #4036	C₂³	semidirect
337. #4035	C₂³	semidirect
338. #4034	C₂³	semidirect
339. #4032	C₂³	semidirect
340. #4031	C₂³	semidirect
341. #4031	C₂³	semidirect
342. #4030	C₂³	semidirect
343. #4030	C₂³	semidirect
345. #4029	C₂³	semidirect
346. #4029	C₂³	semidirect
348. #4028	C₂³	semidirect
349. #4028	C₂³	semidirect
350. #4027	C₂³	semidirect
351. D₅×C₂²⋊C₄	C₂³	semidirect
352. D₅×C₂²⋊C₄	C₂³	semidirect
353. #4025	C₂³	semidirect
354. #4023	C₂³	semidirect
372. C₂×#537	D₅	semidirect
564. C₂²×#41	C₂×D₅	semidirect
565. C₂²×#41	C₂×D₅	semidirect
587. #537	C₂×D₅	semidirect
624. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
625. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
626. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
648. C₂×#121	C₂×D₅	semidirect
649. C₂×#121	C₂×D₅	semidirect
650. C₂×#121	C₂×D₅	semidirect
651. C₂×#121	C₂×D₅	semidirect
652. C₂×#121	C₂×D₅	semidirect
680. C₂²×C₄⋊C₄	C₂×D₅	semidirect
811. C₂×#41	C₂²×D₅	semidirect
812. C₂×#41	C₂²×D₅	semidirect
897. C₂²⋊Q₈	C₂²×D₅	semidirect
898. C₂²⋊Q₈	C₂²×D₅	semidirect
899. C₂²⋊Q₈	C₂²×D₅	semidirect
920. #121	C₂²×D₅	semidirect
921. #121	C₂²×D₅	semidirect
922. #121	C₂²×D₅	semidirect
923. #121	C₂²×D₅	semidirect
924. #121	C₂²×D₅	semidirect
971. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1250. C₂×C₅	#3542	semidirect
1376. C₅	C₂×#3542	semidirect
1439. C₂	#10618287	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×#537	2
C₂×#66168	2
C₂×#66163	2
C₂×#66164	2
C₂×#66162	2
#10618287	2
C₂×#65981	2
C₂×#65973	2
C₂×#65971	2
C₂×#65964	2
C₂×#65977	2
C₂×#65961	2
C₂×#65954	2
C₂×#65946	2
C₂×#65943	2
C₂×#65947	2
C₂×#65941	2
C₂×#65939	2
C₂×D₅×#121	2
C₂×#65950	2
C₂×#65949	2
C₂×#65953	2
C₂×#65848	2
C₂×#65841	2
C₂×#3542	5

Subgroups — C2×#10618287 #13006430

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618287 #13006430