Subgroups — C₂×#10617933 #13006594

Order 1280.

7418 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#66165	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#66163	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66125	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66125	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617933	C₂	1	32	yes	maximal, direct product factor
7	C₂×#65991	C₂	1	2	yes	maximal, complemented
8	C₂×#65996	C₂	1	2	yes	maximal, complemented
9	C₂×#65967	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#65962	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#65975	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65977	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65946	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65941	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65950	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65937	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65929	C₂	1	2	yes	maximal, complemented
18	C₂×#65928	C₂	1	2	yes	maximal, complemented
19	C₂×#65890	C₂	1	2	yes	maximal, complemented
20	C₂×#65895	C₂	1	2	yes	maximal, complemented
21	C₂×#65894	C₂	1	2	yes	maximal, complemented
22	C₂×#65893	C₂	1	2	yes	maximal, complemented
23	C₂×#65867	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65866	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
26	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
27	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
28	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#709	C₂²	1	1	yes	characteristic
30	C₂²×#709	C₂²	1	1	yes	characteristic
31	C₅×#525	C₂²	1	16	yes	complemented
32	C₂×C₅×#123	C₂²	1	2	yes	complemented
33	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₅×#121	C₂²	1	1	yes	characteristic
36	C₂×C₅×#121	C₂²	1	1	yes	characteristic
37	C₂×C₅×#120	C₂²	1	2	yes	complemented
38	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
39	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4099	C₂²	1	1	yes	characteristic
42	C₂×#4099	C₂²	1	2	yes	complemented
43	C₂×#4099	C₂²	1	1	yes	characteristic, complemented
44	#66165	C₂²	1	16	yes	complemented
45	#66163	C₂²	1	16	yes	complemented
46	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
47	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
48	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
49	C₂×#4086	C₂²	1	2	yes	—
50	C₂×#4085	C₂²	1	2	yes	—
51	C₂×#4085	C₂²	1	2	yes	complemented
52	C₂×#4084	C₂²	1	2	yes	—
53	C₂×#4084	C₂²	1	2	yes	complemented
54	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
55	C₂×#4083	C₂²	1	2	yes	—
56	C₂×#4083	C₂²	1	2	yes	—
57	C₂×#4083	C₂²	1	2	yes	—
58	C₂×#4082	C₂²	1	2	yes	complemented
59	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
60	C₂×#4082	C₂²	1	2	yes	complemented
61	C₂×#4082	C₂²	1	2	yes	complemented
62	C₂×#4081	C₂²	1	2	yes	complemented
63	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
64	#66125	C₂²	1	16	yes	complemented
65	#66125	C₂²	1	16	yes	complemented
66	C₂×#4076	C₂²	1	1	yes	characteristic
67	C₂×#4076	C₂²	1	1	yes	characteristic
68	C₂×#4076	C₂²	1	1	yes	characteristic
69	C₂×#4076	C₂²	1	1	yes	characteristic
70	C₂×#4075	C₂²	1	1	yes	characteristic
71	C₂×#4075	C₂²	1	2	yes	complemented
72	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
73	C₂×#4075	C₂²	1	2	yes	complemented
74	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
75	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
79	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
80	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
81	C₂²×#685	C₂²	1	2	yes	complemented
82	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
83	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
84	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
85	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
86	C₂×#4070	C₂²	1	2	yes	complemented
87	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
88	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
89	#65996	C₂²	1	32	yes	complemented
90	#65991	C₂²	1	32	yes	complemented
91	#65977	C₂²	1	16	yes	complemented
92	#65975	C₂²	1	16	yes	complemented
93	#65967	C₂²	1	16	yes	complemented
94	#65962	C₂²	1	16	yes	complemented
95	#65950	C₂²	1	16	yes	complemented
96	#65946	C₂²	1	16	yes	complemented
97	#65941	C₂²	1	16	yes	complemented
98	#65937	C₂²	1	16	yes	complemented
99	#65929	C₂²	1	32	yes	complemented
100	#65928	C₂²	1	32	yes	complemented
101	#65895	C₂²	1	32	yes	complemented
102	#65894	C₂²	1	32	yes	complemented
103	#65893	C₂²	1	32	yes	complemented
104	#65890	C₂²	1	32	yes	complemented
105	#65867	C₂²	1	16	yes	complemented
106	#65866	C₂²	1	16	yes	complemented
107	C₂×#4044	C₂²	1	2	yes	complemented
108	C₂×#4044	C₂²	1	2	yes	complemented
109	C₂×#4043	C₂²	1	2	yes	complemented
110	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
111	C₂×#4042	C₂²	1	2	yes	complemented
112	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
113	C₂×#4040	C₂²	1	2	yes	complemented
114	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
115	C₂×#4039	C₂²	1	2	yes	complemented
116	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
118	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
119	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
120	C₂×#4034	C₂²	1	2	yes	complemented
121	C₂×#4033	C₂²	1	2	yes	complemented
122	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
123	C₂×#4031	C₂²	1	2	yes	—
124	C₂×#4031	C₂²	1	2	yes	—
125	C₂×#4031	C₂²	1	2	yes	—
126	C₂×#4031	C₂²	1	2	yes	complemented
127	C₂×#4031	C₂²	1	2	yes	complemented
128	C₂×#4031	C₂²	1	2	yes	complemented
129	C₂×#4031	C₂²	1	2	yes	complemented
130	C₂×#4031	C₂²	1	2	yes	complemented
131	C₂×#4030	C₂²	1	2	yes	complemented
132	C₂×#4030	C₂²	1	2	yes	complemented
133	C₂×#4029	C₂²	1	2	yes	complemented
134	C₂×#4029	C₂²	1	2	yes	complemented
135	C₂×#4029	C₂²	1	2	yes	complemented
136	C₂×#4028	C₂²	1	2	yes	complemented
137	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
138	C₂×#4025	C₂²	1	2	yes	complemented
139	C₂×#4025	C₂²	1	2	yes	complemented
140	C₂×#4025	C₂²	1	2	yes	complemented
141	C₂×#4024	C₂²	1	2	yes	complemented
142	C₂×#4023	C₂²	1	2	yes	complemented
143	C₂×#4022	C₂²	1	2	yes	complemented
144	C₂×#4021	C₂²	1	2	yes	complemented
145	C₂×#4018	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₁₀	C₂²	1	2	yes	complemented
147	C₂×#3540	—	5	1	no	maximal, Sylow
148	C₂⁵×C₅	C₂³	1	1	yes	characteristic
149	C₂⁴×D₅	C₂³	1	2	yes	—
150	C₂×C₅×#41	—	4	4	no	—
151	C₂×C₅×#41	C₂³	1	8	yes	—
152	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
153	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
154	C₂²×C₅×D₄	C₂³	1	2	yes	—
155	C₂²×C₅×D₄	C₂³	1	2	yes	—
156	C₂²×C₅×D₄	C₂³	1	2	yes	—
157	C₂³×C₄×C₅	—	4	4	no	—
158	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₅	C₂³	1	2	yes	—
162	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₅	C₂³	1	8	yes	complemented
166	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
171	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
172	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
175	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
176	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
177	C₂³×Dic₅	C₂³	1	2	yes	—
178	C₂×Q₈×D₅	—	4	4	no	—
179	C₂×Q₈×D₅	C₂³	1	8	yes	complemented
180	C₂×D₄×D₅	—	4	4	no	—
181	C₂×D₄×D₅	C₂³	1	8	yes	complemented
182	C₂×#709	—	4	4	no	—
183	C₂×#709	—	4	4	no	—
184	C₂×#709	C₂³	1	8	yes	—
185	C₂×#709	C₂³	1	8	yes	—
186	C₂²×D₂₀	C₂³	1	1	yes	characteristic
187	C₂²×D₂₀	C₂³	1	2	yes	—
188	C₂²×D₂₀	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₅	C₂³	1	2	yes	—
192	C₂²×C₄×D₅	C₂³	1	2	yes	—
193	C₂²×C₄×D₅	C₂³	1	2	yes	—
194	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₀	C₂³	1	2	yes	—
196	C₂²×Dic₁₀	C₂³	1	2	yes	—
197	C₂²×Dic₁₀	C₂³	1	2	yes	—
198	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
199	C₅×#123	C₂³	1	16	yes	complemented
200	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
201	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
202	C₅×#121	C₂³	1	8	yes	—
203	C₅×#121	C₂³	1	8	yes	—
204	C₅×#120	C₂³	1	16	yes	complemented
205	C₄×C₅×D₄	C₂³	1	16	yes	complemented
206	C₄×C₅×D₄	C₂³	1	16	yes	complemented
207	C₅×#117	C₂³	1	8	yes	complemented
208	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
210	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
212	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₄²×C₅	C₂³	1	2	yes	—
218	#4099	C₂³	1	8	yes	—
219	#4099	C₂³	1	16	yes	complemented
220	#4099	C₂³	1	8	yes	complemented
221	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
222	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
223	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
226	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
227	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
228	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
229	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
231	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
234	#4093	C₂³	1	8	yes	complemented
235	#4092	C₂³	1	8	yes	complemented
236	Q₈×Dic₅	C₂³	1	8	yes	complemented
237	#4086	C₂³	1	16	yes	—
238	#4085	C₂³	1	16	yes	—
239	#4085	C₂³	1	16	yes	complemented
240	#4084	C₂³	1	16	yes	—
241	#4084	C₂³	1	16	yes	complemented
242	#4084	C₂³	1	8	yes	complemented
243	#4083	C₂³	1	16	yes	—
244	#4083	C₂³	1	16	yes	—
245	#4083	C₂³	1	16	yes	—
246	#4082	C₂³	1	16	yes	complemented
247	#4082	C₂³	1	16	yes	complemented
248	#4082	C₂³	1	16	yes	complemented
249	#4082	C₂³	1	8	yes	complemented
250	#4081	C₂³	1	16	yes	complemented
251	D₄×Dic₅	C₂³	1	8	yes	complemented
252	#4076	C₂³	1	8	yes	—
253	#4076	C₂³	1	8	yes	—
254	#4076	C₂³	1	8	yes	—
255	#4076	C₂³	1	8	yes	—
256	#4075	C₂³	1	8	yes	—
257	#4075	C₂³	1	8	yes	complemented
258	#4075	C₂³	1	16	yes	complemented
259	#4075	C₂³	1	16	yes	complemented
260	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
261	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
262	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
263	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
264	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
265	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
266	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
267	C₂×#685	C₂³	1	2	yes	—
268	C₂×#685	C₂³	1	2	yes	—
269	C₂×#685	C₂³	1	1	yes	characteristic
270	C₂×#685	C₂³	1	2	yes	—
271	C₂×#685	C₂³	1	2	yes	—
272	C₂×#685	C₂³	1	1	yes	characteristic
273	C₂×#685	C₂³	1	2	yes	—
274	C₂×#685	C₂³	1	2	yes	—
275	C₂×#685	C₂³	1	1	yes	characteristic
276	C₂×#685	C₂³	1	2	yes	—
277	C₂×#685	C₂³	1	2	yes	—
278	C₂×#685	C₂³	1	2	yes	—
279	C₂×#685	C₂³	1	1	yes	characteristic
280	C₂×#685	C₂³	1	2	yes	—
281	C₂×#685	C₂³	1	16	yes	complemented
282	#4072	C₂³	1	8	yes	complemented
283	#4072	C₂³	1	8	yes	complemented
284	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
285	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
288	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
290	#4070	C₂³	1	8	yes	complemented
291	#4070	C₂³	1	8	yes	complemented
292	#4070	C₂³	1	8	yes	complemented
293	#4070	C₂³	1	8	yes	complemented
294	#4070	C₂³	1	16	yes	complemented
295	C₂×#683	C₂³	1	1	yes	characteristic
296	C₂×#683	C₂³	1	2	yes	—
297	C₂×#683	C₂³	1	1	yes	characteristic
298	C₂×#683	C₂³	1	2	yes	—
299	C₂×#683	C₂³	1	2	yes	—
300	C₂×#683	C₂³	1	2	yes	—
301	C₂×#683	C₂³	1	1	yes	characteristic
302	C₂×#683	C₂³	1	2	yes	—
303	C₂×#683	C₂³	1	2	yes	—
304	C₂×#683	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₅	C₂³	1	2	yes	—
306	C₂×C₄×Dic₅	C₂³	1	2	yes	—
307	C₂×C₄×Dic₅	C₂³	1	2	yes	—
308	C₂×C₄×Dic₅	C₂³	1	2	yes	—
309	C₂×C₄×Dic₅	C₂³	1	2	yes	—
310	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
312	#4044	C₂³	1	16	yes	complemented
313	#4044	C₂³	1	16	yes	complemented
314	#4043	C₂³	1	8	yes	complemented
315	#4043	C₂³	1	16	yes	complemented
316	#4042	C₂³	1	16	yes	complemented
317	#4041	C₂³	1	8	yes	complemented
318	#4040	C₂³	1	16	yes	complemented
319	#4039	C₂³	1	8	yes	complemented
320	#4039	C₂³	1	16	yes	complemented
321	#4038	C₂³	1	8	yes	complemented
322	#4038	C₂³	1	8	yes	complemented
323	#4034	C₂³	1	8	yes	complemented
324	#4034	C₂³	1	8	yes	complemented
325	#4034	C₂³	1	16	yes	complemented
326	#4033	C₂³	1	8	yes	complemented
327	#4033	C₂³	1	16	yes	complemented
328	#4031	C₂³	1	16	yes	—
329	#4031	C₂³	1	16	yes	—
330	#4031	C₂³	1	16	yes	—
331	#4031	C₂³	1	16	yes	complemented
332	#4031	C₂³	1	16	yes	complemented
333	#4031	C₂³	1	16	yes	complemented
334	#4031	C₂³	1	16	yes	complemented
335	#4031	C₂³	1	16	yes	complemented
336	#4030	C₂³	1	16	yes	complemented
337	#4030	C₂³	1	16	yes	complemented
338	#4029	C₂³	1	16	yes	complemented
339	#4029	C₂³	1	16	yes	complemented
340	#4029	C₂³	1	16	yes	complemented
341	#4028	C₂³	1	16	yes	complemented
342	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
343	#4025	C₂³	1	16	yes	complemented
344	#4025	C₂³	1	16	yes	complemented
345	#4025	C₂³	1	16	yes	complemented
346	#4024	C₂³	1	16	yes	complemented
347	#4023	C₂³	1	16	yes	complemented
348	#4022	C₂³	1	16	yes	complemented
349	#4021	C₂³	1	16	yes	complemented
350	#4018	C₂³	1	16	yes	complemented
351	C₄×Dic₁₀	C₂³	1	16	yes	complemented
352	#3540	—	5	32	no	—
353	C₂×H(3,𝔽₄)	—	5	2	no	—
354	C₂×#560	—	5	2	no	—
355	C₂×#559	—	5	2	no	—
356	C₂×#556	—	5	1	no	—
357	C₂×#556	—	5	1	no	—
358	C₂×#555	—	5	1	no	—
359	C₂×#555	—	5	1	no	—
360	C₂×#551	—	5	2	no	—
361	C₂×#548	—	5	1	no	—
362	C₂×#548	—	5	1	no	—
363	C₂×#546	—	5	1	no	—
364	C₂×#546	—	5	1	no	—
365	C₂×#542	—	5	2	no	—
366	C₂×#542	—	5	1	no	—
367	C₂×#542	—	5	1	no	—
368	C₂×#542	—	5	2	no	—
369	C₂×#538	—	5	2	no	—
370	C₂×#538	—	5	2	no	—
371	C₂×#536	—	5	1	no	—
372	C₂×#535	—	5	1	no	—
373	C₂×#525	—	5	1	no	—
374	C₂×#525	—	5	1	no	—
375	C₂×#525	D₅	1	1	yes	characteristic, complemented
376	C₂⁴×C₅	—	4	2	no	—
377	C₂⁴×C₅	—	4	2	no	—
378	C₂⁴×C₅	—	4	2	no	—
379	C₂⁴×C₅	C₂⁴	1	2	yes	—
380	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
383	C₂⁴×C₅	C₂⁴	1	4	yes	—
384	C₂³×D₅	—	4	4	no	—
385	C₂³×D₅	—	4	4	no	—
386	C₂³×D₅	—	4	4	no	—
387	C₂³×D₅	C₂⁴	1	1	yes	characteristic
388	C₂³×D₅	C₂⁴	1	2	yes	—
389	C₂³×D₅	C₂⁴	1	1	yes	characteristic
390	C₂³×D₅	C₂⁴	1	8	yes	—
391	C₅×#41	—	4	16	no	—
392	C₂×C₅×Q₈	—	2	4	no	—
393	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
394	C₂×C₅×D₄	—	2	4	no	—
395	C₂×C₅×D₄	—	4	4	no	—
396	C₂×C₅×D₄	—	4	4	no	—
397	C₂×C₅×D₄	—	4	4	no	—
398	C₂×C₅×D₄	C₂⁴	1	4	yes	—
399	C₂×C₅×D₄	C₂⁴	1	8	yes	—
400	C₂×C₅×D₄	C₂⁴	1	8	yes	—
401	C₂×C₅×D₄	C₂⁴	1	8	yes	—
402	C₂²×C₄×C₅	—	2	4	no	—
403	C₂²×C₄×C₅	—	2	4	no	—
404	C₂²×C₄×C₅	—	2	4	no	—
405	C₂²×C₄×C₅	—	4	16	no	—
406	C₂²×C₄×C₅	—	4	2	no	—
407	C₂²×C₄×C₅	—	4	2	no	—
408	C₂²×C₄×C₅	—	4	2	no	—
409	C₂²×C₄×C₅	—	4	4	no	—
410	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
412	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
413	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
414	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
417	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
418	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
419	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
420	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
421	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
422	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
423	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
424	C₂×C₂²⋊D₅	—	4	4	no	—
425	C₂×C₂²⋊D₅	—	4	2	no	—
426	C₂×C₂²⋊D₅	—	4	2	no	—
427	C₂×C₂²⋊D₅	—	4	4	no	—
428	C₂×C₂²⋊D₅	—	4	2	no	—
429	C₂×C₂²⋊D₅	—	4	2	no	—
430	C₂×C₂²⋊D₅	—	4	4	no	—
431	C₂×C₂²⋊D₅	—	4	4	no	—
432	C₂×C₂²⋊D₅	—	4	4	no	—
433	C₂×C₂²⋊D₅	—	4	2	no	—
434	C₂×C₂²⋊D₅	—	4	2	no	—
435	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
436	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
437	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
438	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
439	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
440	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
441	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
442	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
443	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
444	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
445	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
446	C₂²×Dic₅	—	4	4	no	—
447	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₅	C₂⁴	1	2	yes	—
449	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₅	C₂⁴	1	2	yes	—
453	C₂²×Dic₅	C₂⁴	1	2	yes	—
454	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₅	C₂⁴	1	8	yes	—
457	Q₈×D₅	—	4	16	no	—
458	D₄×D₅	—	4	16	no	—
459	#709	—	4	16	no	—
460	#709	—	4	16	no	—
461	C₂×D₂₀	—	2	4	no	—
462	C₂×D₂₀	—	4	4	no	—
463	C₂×D₂₀	—	4	2	no	—
464	C₂×D₂₀	C₂⁴	1	4	yes	—
465	C₂×D₂₀	C₂⁴	1	4	yes	—
466	C₂×D₂₀	C₂⁴	1	8	yes	—
467	C₂×C₄×D₅	—	2	4	no	—
468	C₂×C₄×D₅	—	2	4	no	—
469	C₂×C₄×D₅	—	4	4	no	—
470	C₂×C₄×D₅	—	4	4	no	—
471	C₂×C₄×D₅	—	4	4	no	—
472	C₂×C₄×D₅	C₂⁴	1	4	yes	—
473	C₂×C₄×D₅	C₂⁴	1	4	yes	—
474	C₂×C₄×D₅	C₂⁴	1	8	yes	—
475	C₂×C₄×D₅	C₂⁴	1	8	yes	—
476	C₂×C₄×D₅	C₂⁴	1	8	yes	—
477	C₂×Dic₁₀	—	2	4	no	—
478	C₂×Dic₁₀	—	4	4	no	—
479	C₂×Dic₁₀	—	4	4	no	—
480	C₂×Dic₁₀	—	4	2	no	—
481	C₂×Dic₁₀	—	4	4	no	—
482	C₂×Dic₁₀	C₂⁴	1	4	yes	—
483	C₂×Dic₁₀	C₂⁴	1	4	yes	—
484	C₂×Dic₁₀	C₂⁴	1	8	yes	—
485	C₂×Dic₁₀	C₂⁴	1	8	yes	—
486	C₂×Dic₁₀	C₂⁴	1	8	yes	—
487	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
488	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
489	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
490	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
491	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
492	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
493	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
494	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
495	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
496	C₄²×C₅	C₂⁴	1	8	yes	—
497	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
498	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
499	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
500	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
501	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
502	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
503	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
504	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
505	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
506	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
507	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
508	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
509	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
510	#685	C₂⁴	1	8	yes	—
511	#685	C₂⁴	1	8	yes	—
512	#685	C₂⁴	1	4	yes	—
513	#685	C₂⁴	1	8	yes	—
514	#685	C₂⁴	1	8	yes	—
515	#685	C₂⁴	1	4	yes	—
516	#685	C₂⁴	1	8	yes	—
517	#685	C₂⁴	1	8	yes	—
518	#685	C₂⁴	1	4	yes	—
519	#685	C₂⁴	1	8	yes	—
520	#685	C₂⁴	1	8	yes	—
521	#685	C₂⁴	1	8	yes	—
522	#685	C₂⁴	1	4	yes	—
523	#685	C₂⁴	1	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	4	yes	—
529	C₄⋊Dic₅	C₂⁴	1	4	yes	—
530	#683	C₂⁴	1	4	yes	—
531	#683	C₂⁴	1	8	yes	—
532	#683	C₂⁴	1	4	yes	—
533	#683	C₂⁴	1	8	yes	—
534	#683	C₂⁴	1	8	yes	—
535	#683	C₂⁴	1	8	yes	—
536	#683	C₂⁴	1	4	yes	—
537	#683	C₂⁴	1	8	yes	—
538	#683	C₂⁴	1	8	yes	—
539	#683	C₂⁴	1	4	yes	—
540	C₄×Dic₅	C₂⁴	1	8	yes	—
541	C₄×Dic₅	C₂⁴	1	8	yes	—
542	C₄×Dic₅	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	C₂²×#41	—	5	1	no	—
548	C₂²×#41	—	5	1	no	—
549	C₂²×#41	C₂×D₅	1	1	yes	characteristic
550	C₂³×Q₈	—	5	1	no	—
551	C₂³×D₄	—	5	1	no	—
552	C₂⁴×C₄	C₂×D₅	1	1	yes	characteristic, complemented
553	H(3,𝔽₄)	—	5	32	no	—
554	#560	—	5	32	no	—
555	#559	—	5	32	no	—
556	#556	—	5	16	no	—
557	#556	—	5	16	no	—
558	#555	—	5	16	no	—
559	#555	—	5	16	no	—
560	#551	—	5	32	no	—
561	#548	—	5	16	no	—
562	#548	—	5	16	no	—
563	#546	—	5	16	no	—
564	#546	—	5	16	no	—
565	#542	—	5	32	no	—
566	#542	—	5	16	no	—
567	#542	—	5	16	no	—
568	#542	—	5	32	no	—
569	#538	—	5	32	no	—
570	#538	—	5	32	no	—
571	#536	—	5	16	no	—
572	#535	—	5	16	no	—
573	C₂×C₄⋊Q₈	—	5	2	no	—
574	C₂×C₄⋊Q₈	—	5	1	no	—
575	C₂×C₄⋊Q₈	—	5	1	no	—
576	C₂×#127	—	5	2	no	—
577	C₂×#126	—	5	2	no	—
578	C₂×#126	—	5	2	no	—
579	C₂×#126	—	5	2	no	—
580	C₂×#126	—	5	2	no	—
581	C₂×#126	—	5	2	no	—
582	C₂×#126	—	5	2	no	—
583	C₂×#124	—	5	1	no	—
584	C₂×#124	—	5	1	no	—
585	C₂×#124	—	5	2	no	—
586	C₂×#124	—	5	2	no	—
587	C₂×#124	—	5	2	no	—
588	C₂×#124	—	5	2	no	—
589	C₂×#124	—	5	2	no	—
590	C₂×#124	—	5	2	no	—
591	C₂×#124	—	5	2	no	—
592	C₂×#124	—	5	2	no	—
593	C₂×#124	—	5	2	no	—
594	C₂×#124	—	5	2	no	—
595	C₂×#124	—	5	2	no	—
596	C₂×#124	—	5	2	no	—
597	#525	—	5	16	no	—
598	#525	—	5	16	no	—
599	#525	C₂×D₅	1	16	yes	complemented
600	C₂×#123	—	5	2	no	—
601	C₂×#123	—	5	1	no	—
602	C₂×#123	—	5	2	no	—
603	C₂×#123	—	5	1	no	—
604	C₂×#123	—	5	2	no	—
605	C₂×#123	—	5	2	no	—
606	C₂×#123	—	5	2	no	—
607	C₂×#123	—	5	2	no	—
608	C₂×#123	—	5	2	no	—
609	C₂×#123	C₂×D₅	1	2	yes	complemented
610	C₂×C₂²⋊Q₈	—	5	1	no	—
611	C₂×C₂²⋊Q₈	—	5	1	no	—
612	C₂×C₂²⋊Q₈	—	5	1	no	—
613	C₂×C₂²⋊Q₈	—	5	1	no	—
614	C₂×C₂²⋊Q₈	—	5	1	no	—
615	C₂×C₂²⋊Q₈	—	5	2	no	—
616	C₂×C₂²⋊Q₈	—	5	2	no	—
617	C₂×C₂²⋊Q₈	—	5	1	no	—
618	C₂×C₂²⋊Q₈	—	5	2	no	—
619	C₂×C₂²⋊Q₈	—	5	2	no	—
620	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
621	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
622	C₂×#121	—	5	2	no	—
623	C₂×#121	—	5	1	no	—
624	C₂×#121	—	5	2	no	—
625	C₂×#121	—	5	2	no	—
626	C₂×#121	—	5	2	no	—
627	C₂×#121	—	5	1	no	—
628	C₂×#121	—	5	1	no	—
629	C₂×#121	—	5	1	no	—
630	C₂×#121	—	5	1	no	—
631	C₂×#121	—	5	1	no	—
632	C₂×#121	—	5	2	no	—
633	C₂×#121	—	5	2	no	—
634	C₂×#121	C₂×D₅	1	1	yes	characteristic
635	C₂×#121	C₂×D₅	1	1	yes	characteristic
636	C₂×#120	—	5	1	no	—
637	C₂×#120	—	5	1	no	—
638	C₂×#120	—	5	2	no	—
639	C₂×#120	—	5	2	no	—
640	C₂×#120	—	5	2	no	—
641	C₂×#120	—	5	2	no	—
642	C₂×#120	—	5	2	no	—
643	C₂×#120	C₂×D₅	1	2	yes	complemented
644	C₂×C₄×Q₈	—	5	1	no	—
645	C₂×C₄×Q₈	—	5	1	no	—
646	C₂×C₄×Q₈	—	5	2	no	—
647	C₂×C₄×Q₈	—	5	2	no	—
648	C₂×C₄×D₄	—	5	1	no	—
649	C₂×C₄×D₄	—	5	1	no	—
650	C₂×C₄×D₄	—	5	1	no	—
651	C₂×C₄×D₄	—	5	2	no	—
652	C₂×C₄×D₄	—	5	1	no	—
653	C₂×C₄×D₄	—	5	1	no	—
654	C₂×C₄×D₄	—	5	2	no	—
655	C₂×C₄×D₄	—	5	2	no	—
656	C₂×C₄×D₄	—	5	2	no	—
657	C₂×C₄×D₄	—	5	1	no	—
658	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
659	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
660	C₂×#117	—	5	1	no	—
661	C₂×#117	—	5	1	no	—
662	C₂×#117	—	5	1	no	—
663	C₂×#117	—	5	1	no	—
664	C₂×#117	—	5	2	no	—
665	C₂×#117	—	5	2	no	—
666	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
667	C₂²×C₂²⋊C₄	—	5	2	no	—
668	C₂²×C₂²⋊C₄	—	5	2	no	—
669	C₂³×C₅	—	2	2	no	—
670	C₂³×C₅	—	2	2	no	—
671	C₂³×C₅	—	2	4	no	—
672	C₂³×C₅	—	2	2	no	—
673	C₂³×C₅	—	2	4	no	—
674	C₂³×C₅	—	2	2	no	—
675	C₂³×C₅	—	2	2	no	—
676	C₂³×C₅	—	2	2	no	—
677	C₂³×C₅	—	2	2	no	—
678	C₂³×C₅	—	2	4	no	—
679	C₂³×C₅	—	2	2	no	—
680	C₂³×C₅	—	2	2	no	—
681	C₂³×C₅	—	4	4	no	—
682	C₂³×C₅	—	4	4	no	—
683	C₂³×C₅	—	4	4	no	—
684	C₂³×C₅	—	4	16	no	—
685	C₂³×C₅	C₂⁵	1	4	yes	—
686	C₂³×C₅	C₂⁵	1	2	yes	—
687	C₂³×C₅	C₂⁵	1	2	yes	—
688	C₂³×C₅	C₂⁵	1	2	yes	—
689	C₂³×C₅	C₂⁵	1	1	yes	characteristic
690	C₂²×D₅	—	2	2	no	—
691	C₂²×D₅	—	2	2	no	—
692	C₂²×D₅	—	2	4	no	—
693	C₂²×D₅	—	2	4	no	—
694	C₂²×D₅	—	2	2	no	—
695	C₂²×D₅	—	2	4	no	—
696	C₂²×D₅	—	2	2	no	—
697	C₂²×D₅	—	2	2	no	—
698	C₂²×D₅	—	2	2	no	—
699	C₂²×D₅	—	4	8	no	—
700	C₂²×D₅	—	4	8	no	—
701	C₂²×D₅	—	4	8	no	—
702	C₂²×D₅	—	8	16	no	—
703	C₂²×D₅	C₂⁵	1	2	yes	—
704	C₂²×D₅	C₂⁵	1	4	yes	—
705	C₂²×D₅	C₂⁵	1	2	yes	—
706	C₅×Q₈	—	2	8	no	—
707	C₅×D₄	—	2	8	no	—
708	C₅×D₄	—	4	8	no	—
709	C₅×D₄	—	4	8	no	—
710	C₅×D₄	—	4	8	no	—
711	C₂×C₄×C₅	—	2	4	no	—
712	C₂×C₄×C₅	—	2	2	no	—
713	C₂×C₄×C₅	—	2	2	no	—
714	C₂×C₄×C₅	—	2	2	no	—
715	C₂×C₄×C₅	—	2	4	no	—
716	C₂×C₄×C₅	—	2	4	no	—
717	C₂×C₄×C₅	—	2	8	no	—
718	C₂×C₄×C₅	—	2	8	no	—
719	C₂×C₄×C₅	—	2	8	no	—
720	C₂×C₄×C₅	—	4	4	no	—
721	C₂×C₄×C₅	—	4	4	no	—
722	C₂×C₄×C₅	—	4	4	no	—
723	C₂×C₄×C₅	—	4	8	no	—
724	C₂×C₄×C₅	H(5,𝔽₂)	1	4	yes	—
725	C₂×C₄×C₅	C₂⁵	1	4	yes	—
726	C₂×C₄×C₅	C₂⁵	1	2	yes	—
727	C₂×C₄×C₅	C₂⁵	1	4	yes	—
728	C₂×C₄×C₅	C₂⁵	1	4	yes	—
729	C₂×C₄×C₅	C₂⁵	1	2	yes	—
730	C₂×C₄×C₅	C₂⁵	1	2	yes	—
731	C₂×C₄×C₅	C₂⁵	1	2	yes	—
732	C₂²⋊D₅	—	4	8	no	—
733	C₂²⋊D₅	—	4	4	no	—
734	C₂²⋊D₅	—	4	4	no	—
735	C₂²⋊D₅	—	4	8	no	—
736	C₂²⋊D₅	—	4	4	no	—
737	C₂²⋊D₅	—	4	4	no	—
738	C₂²⋊D₅	—	4	8	no	—
739	C₂²⋊D₅	—	4	8	no	—
740	C₂²⋊D₅	—	4	8	no	—
741	C₂²⋊D₅	—	4	4	no	—
742	C₂²⋊D₅	—	4	4	no	—
743	C₂×Dic₅	—	2	4	no	—
744	C₂×Dic₅	—	2	2	no	—
745	C₂×Dic₅	—	2	2	no	—
746	C₂×Dic₅	—	2	2	no	—
747	C₂×Dic₅	—	2	2	no	—
748	C₂×Dic₅	—	2	4	no	—
749	C₂×Dic₅	—	2	4	no	—
750	C₂×Dic₅	—	2	2	no	—
751	C₂×Dic₅	—	2	2	no	—
752	C₂×Dic₅	—	4	8	no	—
753	C₂×Dic₅	C₂⁵	1	4	yes	—
754	C₂×Dic₅	C₂⁵	1	2	yes	—
755	C₂×Dic₅	C₂⁵	1	2	yes	—
756	C₂×Dic₅	C₂⁵	1	2	yes	—
757	C₂×Dic₅	C₂⁵	1	4	yes	—
758	C₂×Dic₅	C₂⁵	1	2	yes	—
759	C₂×Dic₅	C₂⁵	1	2	yes	—
760	C₂×Dic₅	C₂⁵	1	2	yes	—
761	C₂×Dic₅	C₂⁵	1	4	yes	—
762	D₂₀	—	2	8	no	—
763	D₂₀	—	4	8	no	—
764	D₂₀	—	4	4	no	—
765	C₄×D₅	—	2	8	no	—
766	C₄×D₅	—	2	8	no	—
767	C₄×D₅	—	4	8	no	—
768	C₄×D₅	—	4	8	no	—
769	C₄×D₅	—	4	8	no	—
770	Dic₁₀	—	2	8	no	—
771	Dic₁₀	—	4	8	no	—
772	Dic₁₀	—	4	8	no	—
773	Dic₁₀	—	4	4	no	—
774	Dic₁₀	—	4	8	no	—
775	C₂⁵	—	5	2	no	—
776	C₂⁵	C₂²×D₅	1	1	yes	characteristic
777	C₂×#41	—	4	4	no	—
778	C₂×#41	—	5	8	no	—
779	C₂×#41	—	5	8	no	—
780	C₂×#41	—	20	4	no	—
781	C₂×#41	—	20	4	no	—
782	C₂×#41	C₂²×D₅	1	8	yes	—
783	C₂²×Q₈	—	5	8	no	—
784	C₂²×Q₈	—	5	1	no	—
785	C₂²×Q₈	—	5	2	no	—
786	C₂²×Q₈	—	5	2	no	—
787	C₂²×Q₈	—	5	2	no	—
788	C₂²×Q₈	—	5	1	no	—
789	C₂²×Q₈	—	20	4	no	—
790	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
791	C₂²×D₄	—	5	1	no	—
792	C₂²×D₄	—	5	1	no	—
793	C₂²×D₄	—	5	2	no	—
794	C₂²×D₄	—	5	2	no	—
795	C₂²×D₄	—	5	1	no	—
796	C₂²×D₄	—	5	1	no	—
797	C₂²×D₄	—	5	2	no	—
798	C₂²×D₄	—	5	1	no	—
799	C₂²×D₄	—	5	2	no	—
800	C₂²×D₄	—	5	1	no	—
801	C₂²×D₄	—	5	2	no	—
802	C₂²×D₄	—	5	8	no	—
803	C₂²×D₄	—	5	1	no	—
804	C₂²×D₄	—	5	2	no	—
805	C₂²×D₄	—	5	1	no	—
806	C₂²×D₄	—	20	4	no	—
807	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
808	C₂²×D₄	C₂²×D₅	1	2	yes	—
809	C₂²×D₄	C₂²×D₅	1	2	yes	—
810	C₂²×D₄	C₂²×D₅	1	2	yes	—
811	C₂³×C₄	—	4	4	no	—
812	C₂³×C₄	—	5	2	no	—
813	C₂³×C₄	—	5	1	no	—
814	C₂³×C₄	—	5	1	no	—
815	C₂³×C₄	—	5	2	no	—
816	C₂³×C₄	—	5	2	no	—
817	C₂³×C₄	—	5	2	no	—
818	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
819	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
820	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
821	C₂³×C₄	C₂²×D₅	1	2	yes	—
822	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
823	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
824	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
825	C₂³×C₄	C₂²×D₅	1	8	yes	complemented
826	C₄⋊Q₈	—	5	16	no	—
827	C₄⋊Q₈	—	5	8	no	—
828	C₄⋊Q₈	—	5	8	no	—
829	#127	—	5	16	no	—
830	#126	—	5	16	no	—
831	#126	—	5	16	no	—
832	#126	—	5	16	no	—
833	#126	—	5	16	no	—
834	#126	—	5	16	no	—
835	#126	—	5	16	no	—
836	#124	—	5	8	no	—
837	#124	—	5	8	no	—
838	#124	—	5	16	no	—
839	#124	—	5	16	no	—
840	#124	—	5	16	no	—
841	#124	—	5	16	no	—
842	#124	—	5	16	no	—
843	#124	—	5	16	no	—
844	#124	—	5	16	no	—
845	#124	—	5	16	no	—
846	#124	—	5	16	no	—
847	#124	—	5	16	no	—
848	#124	—	5	16	no	—
849	#124	—	5	16	no	—
850	#123	—	5	16	no	—
851	#123	—	5	16	no	—
852	#123	—	5	8	no	—
853	#123	—	5	8	no	—
854	#123	—	5	16	no	—
855	#123	—	5	16	no	—
856	#123	—	5	16	no	—
857	#123	—	5	16	no	—
858	#123	—	5	16	no	—
859	#123	C₂²×D₅	1	16	yes	complemented
860	C₂²⋊Q₈	—	5	8	no	—
861	C₂²⋊Q₈	—	5	8	no	—
862	C₂²⋊Q₈	—	5	8	no	—
863	C₂²⋊Q₈	—	5	8	no	—
864	C₂²⋊Q₈	—	5	8	no	—
865	C₂²⋊Q₈	—	5	16	no	—
866	C₂²⋊Q₈	—	5	8	no	—
867	C₂²⋊Q₈	—	5	16	no	—
868	C₂²⋊Q₈	—	5	16	no	—
869	C₂²⋊Q₈	—	5	16	no	—
870	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
871	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
872	#121	—	5	8	no	—
873	#121	—	5	16	no	—
874	#121	—	5	16	no	—
875	#121	—	5	16	no	—
876	#121	—	5	16	no	—
877	#121	—	5	8	no	—
878	#121	—	5	8	no	—
879	#121	—	5	8	no	—
880	#121	—	5	8	no	—
881	#121	—	5	8	no	—
882	#121	—	5	16	no	—
883	#121	—	5	16	no	—
884	#121	C₂²×D₅	1	8	yes	—
885	#121	C₂²×D₅	1	8	yes	—
886	#120	—	5	8	no	—
887	#120	—	5	8	no	—
888	#120	—	5	16	no	—
889	#120	—	5	16	no	—
890	#120	—	5	16	no	—
891	#120	—	5	16	no	—
892	#120	—	5	16	no	—
893	#120	C₂²×D₅	1	16	yes	complemented
894	C₄×Q₈	—	5	8	no	—
895	C₄×Q₈	—	5	8	no	—
896	C₄×Q₈	—	5	16	no	—
897	C₄×Q₈	—	5	16	no	—
898	C₄×D₄	—	5	8	no	—
899	C₄×D₄	—	5	16	no	—
900	C₄×D₄	—	5	8	no	—
901	C₄×D₄	—	5	8	no	—
902	C₄×D₄	—	5	8	no	—
903	C₄×D₄	—	5	8	no	—
904	C₄×D₄	—	5	16	no	—
905	C₄×D₄	—	5	16	no	—
906	C₄×D₄	—	5	16	no	—
907	C₄×D₄	—	5	8	no	—
908	C₄×D₄	C₂²×D₅	1	16	yes	complemented
909	C₄×D₄	C₂²×D₅	1	16	yes	complemented
910	#117	—	5	8	no	—
911	#117	—	5	8	no	—
912	#117	—	5	8	no	—
913	#117	—	5	8	no	—
914	#117	—	5	16	no	—
915	#117	—	5	16	no	—
916	#117	C₂²×D₅	1	8	yes	complemented
917	C₂×C₄⋊C₄	—	5	1	no	—
918	C₂×C₄⋊C₄	—	5	1	no	—
919	C₂×C₄⋊C₄	—	5	1	no	—
920	C₂×C₄⋊C₄	—	5	1	no	—
921	C₂×C₄⋊C₄	—	5	1	no	—
922	C₂×C₄⋊C₄	—	5	1	no	—
923	C₂×C₄⋊C₄	—	5	2	no	—
924	C₂×C₄⋊C₄	—	5	2	no	—
925	C₂×C₄⋊C₄	—	5	2	no	—
926	C₂×C₄⋊C₄	—	5	1	no	—
927	C₂×C₄⋊C₄	—	5	1	no	—
928	C₂×C₄⋊C₄	—	5	2	no	—
929	C₂×C₄⋊C₄	—	5	2	no	—
930	C₂×C₄⋊C₄	—	5	2	no	—
931	C₂×C₄⋊C₄	—	5	2	no	—
932	C₂×C₄⋊C₄	—	5	2	no	—
933	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
936	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
937	C₂×C₂²⋊C₄	—	5	2	no	—
938	C₂×C₂²⋊C₄	—	5	2	no	—
939	C₂×C₂²⋊C₄	—	5	2	no	—
940	C₂×C₂²⋊C₄	—	5	1	no	—
941	C₂×C₂²⋊C₄	—	5	1	no	—
942	C₂×C₂²⋊C₄	—	5	1	no	—
943	C₂×C₂²⋊C₄	—	5	1	no	—
944	C₂×C₂²⋊C₄	—	5	2	no	—
945	C₂×C₂²⋊C₄	—	5	2	no	—
946	C₂×C₂²⋊C₄	—	5	2	no	—
947	C₂×C₂²⋊C₄	—	5	1	no	—
948	C₂×C₂²⋊C₄	—	5	1	no	—
949	C₂×C₂²⋊C₄	—	5	2	no	—
950	C₂×C₂²⋊C₄	—	5	1	no	—
951	C₂×C₂²⋊C₄	—	5	1	no	—
952	C₂×C₂²⋊C₄	—	5	2	no	—
953	C₂×C₂²⋊C₄	—	5	2	no	—
954	C₂×C₂²⋊C₄	—	5	2	no	—
955	C₂×C₂²⋊C₄	—	5	2	no	—
956	C₂×C₂²⋊C₄	—	5	16	no	—
957	C₂×C₂²⋊C₄	—	5	2	no	—
958	C₂×C₂²⋊C₄	—	5	2	no	—
959	C₂×C₂²⋊C₄	—	5	2	no	—
960	C₂×C₂²⋊C₄	—	5	1	no	—
961	C₂×C₂²⋊C₄	—	5	1	no	—
962	C₂×C₂²⋊C₄	—	5	2	no	—
963	C₂×C₂²⋊C₄	—	5	2	no	—
964	C₂×C₂²⋊C₄	—	5	2	no	—
965	C₂×C₂²⋊C₄	—	5	16	no	—
966	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
967	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
968	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
969	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
970	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
971	C₂×C₄²	—	5	2	no	—
972	C₂×C₄²	—	5	2	no	—
973	C₂×C₄²	—	5	1	no	—
974	C₂×C₄²	—	5	1	no	—
975	C₂×C₄²	—	5	2	no	—
976	C₂×C₄²	—	5	2	no	—
977	C₂×C₄²	—	5	2	no	—
978	C₂×C₄²	C₂²×D₅	1	2	yes	—
979	C₂²×C₅	—	2	2	no	—
980	C₂²×C₅	—	2	2	no	—
981	C₂²×C₅	—	2	4	no	—
982	C₂²×C₅	—	2	2	no	—
983	C₂²×C₅	—	2	4	no	—
984	C₂²×C₅	—	2	2	no	—
985	C₂²×C₅	—	2	2	no	—
986	C₂²×C₅	—	2	2	no	—
987	C₂²×C₅	—	2	2	no	—
988	C₂²×C₅	—	2	4	no	—
989	C₂²×C₅	—	2	2	no	—
990	C₂²×C₅	—	2	2	no	—
991	C₂²×C₅	—	4	16	no	—
992	C₂²×C₅	—	4	8	no	—
993	C₂²×C₅	—	4	4	no	—
994	C₂²×C₅	—	4	4	no	—
995	C₂²×C₅	—	4	4	no	—
996	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
997	C₂²×C₅	#585	1	2	yes	—
998	C₂²×C₅	#585	1	2	yes	—
999	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1000	C₂×D₅	—	2	2	no	—
1001	C₂×D₅	—	2	2	no	—
1002	C₂×D₅	—	2	4	no	—
1003	C₂×D₅	—	2	4	no	—
1004	C₂×D₅	—	2	2	no	—
1005	C₂×D₅	—	2	4	no	—
1006	C₂×D₅	—	2	2	no	—
1007	C₂×D₅	—	2	2	no	—
1008	C₂×D₅	—	2	2	no	—
1009	C₂×D₅	—	4	4	no	—
1010	C₂×D₅	—	4	8	no	—
1011	C₂×D₅	—	4	4	no	—
1012	C₂×D₅	—	8	16	no	—
1013	C₄×C₅	—	2	4	no	—
1014	C₄×C₅	—	2	2	no	—
1015	C₄×C₅	—	2	2	no	—
1016	C₄×C₅	—	2	2	no	—
1017	C₄×C₅	—	2	4	no	—
1018	C₄×C₅	—	2	4	no	—
1019	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1020	Dic₅	—	2	4	no	—
1021	Dic₅	—	2	2	no	—
1022	Dic₅	—	2	2	no	—
1023	Dic₅	—	2	2	no	—
1024	Dic₅	—	2	2	no	—
1025	Dic₅	—	2	4	no	—
1026	Dic₅	—	2	4	no	—
1027	Dic₅	—	2	2	no	—
1028	Dic₅	—	2	2	no	—
1029	C₂⁴	—	4	2	no	—
1030	C₂⁴	—	4	2	no	—
1031	C₂⁴	—	4	2	no	—
1032	C₂⁴	—	5	1	no	—
1033	C₂⁴	—	5	2	no	—
1034	C₂⁴	—	5	1	no	—
1035	C₂⁴	—	5	8	no	—
1036	C₂⁴	—	20	4	no	—
1037	C₂⁴	—	20	4	no	—
1038	C₂⁴	—	20	4	no	—
1039	C₂⁴	C₂³×D₅	1	2	yes	—
1040	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1041	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1042	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1043	C₂⁴	C₂³×D₅	1	4	yes	—
1044	#41	—	4	16	no	—
1045	#41	—	20	16	no	—
1046	#41	—	20	16	no	—
1047	C₂×Q₈	—	2	4	no	—
1048	C₂×Q₈	—	5	4	no	—
1049	C₂×Q₈	—	5	8	no	—
1050	C₂×Q₈	—	5	8	no	—
1051	C₂×Q₈	—	5	8	no	—
1052	C₂×Q₈	—	5	4	no	—
1053	C₂×Q₈	—	10	4	no	—
1054	C₂×Q₈	—	20	4	no	—
1055	C₂×Q₈	—	20	2	no	—
1056	C₂×Q₈	—	20	4	no	—
1057	C₂×Q₈	—	20	4	no	—
1058	C₂×Q₈	—	20	16	no	—
1059	C₂×Q₈	C₂³×D₅	1	4	yes	—
1060	C₂×D₄	—	2	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	4	no	—
1064	C₂×D₄	—	5	4	no	—
1065	C₂×D₄	—	5	4	no	—
1066	C₂×D₄	—	5	8	no	—
1067	C₂×D₄	—	5	8	no	—
1068	C₂×D₄	—	5	4	no	—
1069	C₂×D₄	—	5	4	no	—
1070	C₂×D₄	—	5	8	no	—
1071	C₂×D₄	—	5	4	no	—
1072	C₂×D₄	—	5	8	no	—
1073	C₂×D₄	—	5	4	no	—
1074	C₂×D₄	—	5	8	no	—
1075	C₂×D₄	—	5	4	no	—
1076	C₂×D₄	—	5	8	no	—
1077	C₂×D₄	—	5	4	no	—
1078	C₂×D₄	—	10	4	no	—
1079	C₂×D₄	—	20	2	no	—
1080	C₂×D₄	—	20	4	no	—
1081	C₂×D₄	—	20	16	no	—
1082	C₂×D₄	—	20	4	no	—
1083	C₂×D₄	—	20	2	no	—
1084	C₂×D₄	—	20	2	no	—
1085	C₂×D₄	—	20	4	no	—
1086	C₂×D₄	—	20	2	no	—
1087	C₂×D₄	—	20	2	no	—
1088	C₂×D₄	—	20	4	no	—
1089	C₂×D₄	—	20	4	no	—
1090	C₂×D₄	—	20	4	no	—
1091	C₂×D₄	—	20	2	no	—
1092	C₂×D₄	—	20	2	no	—
1093	C₂×D₄	C₂³×D₅	1	4	yes	—
1094	C₂×D₄	C₂³×D₅	1	8	yes	—
1095	C₂×D₄	C₂³×D₅	1	8	yes	—
1096	C₂×D₄	C₂³×D₅	1	8	yes	—
1097	C₂²×C₄	—	2	4	no	—
1098	C₂²×C₄	—	2	4	no	—
1099	C₂²×C₄	—	2	4	no	—
1100	C₂²×C₄	—	4	16	no	—
1101	C₂²×C₄	—	4	2	no	—
1102	C₂²×C₄	—	4	2	no	—
1103	C₂²×C₄	—	4	2	no	—
1104	C₂²×C₄	—	4	4	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	5	1	no	—
1107	C₂²×C₄	—	5	2	no	—
1108	C₂²×C₄	—	5	2	no	—
1109	C₂²×C₄	—	5	1	no	—
1110	C₂²×C₄	—	5	1	no	—
1111	C₂²×C₄	—	5	1	no	—
1112	C₂²×C₄	—	5	1	no	—
1113	C₂²×C₄	—	5	2	no	—
1114	C₂²×C₄	—	5	8	no	—
1115	C₂²×C₄	—	5	4	no	—
1116	C₂²×C₄	—	5	4	no	—
1117	C₂²×C₄	—	5	8	no	—
1118	C₂²×C₄	—	5	8	no	—
1119	C₂²×C₄	—	5	8	no	—
1120	C₂²×C₄	—	10	4	no	—
1121	C₂²×C₄	—	10	4	no	—
1122	C₂²×C₄	—	20	4	no	—
1123	C₂²×C₄	—	20	4	no	—
1124	C₂²×C₄	—	20	4	no	—
1125	C₂²×C₄	—	20	4	no	—
1126	C₂²×C₄	C₂³×D₅	1	4	yes	—
1127	C₂²×C₄	C₂³×D₅	1	4	yes	—
1128	C₂²×C₄	C₂³×D₅	1	4	yes	—
1129	C₂²×C₄	C₂³×D₅	1	2	yes	—
1130	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×D₅	1	2	yes	—
1132	C₂²×C₄	C₂³×D₅	1	2	yes	—
1133	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₅	1	8	yes	—
1136	C₂²×C₄	C₂³×D₅	1	4	yes	—
1137	C₂²×C₄	C₂³×D₅	1	4	yes	—
1138	C₂²×C₄	C₂³×D₅	1	4	yes	—
1139	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1140	C₄⋊C₄	—	5	4	no	—
1141	C₄⋊C₄	—	5	4	no	—
1142	C₄⋊C₄	—	5	4	no	—
1143	C₄⋊C₄	—	5	4	no	—
1144	C₄⋊C₄	—	5	4	no	—
1145	C₄⋊C₄	—	5	4	no	—
1146	C₄⋊C₄	—	5	8	no	—
1147	C₄⋊C₄	—	5	8	no	—
1148	C₄⋊C₄	—	5	8	no	—
1149	C₄⋊C₄	—	5	4	no	—
1150	C₄⋊C₄	—	5	4	no	—
1151	C₄⋊C₄	—	5	8	no	—
1152	C₄⋊C₄	—	5	8	no	—
1153	C₄⋊C₄	—	5	8	no	—
1154	C₄⋊C₄	—	5	8	no	—
1155	C₄⋊C₄	—	5	8	no	—
1156	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1157	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1158	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1159	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1160	C₂²⋊C₄	—	5	8	no	—
1161	C₂²⋊C₄	—	5	8	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	4	no	—
1167	C₂²⋊C₄	—	5	8	no	—
1168	C₂²⋊C₄	—	5	8	no	—
1169	C₂²⋊C₄	—	5	8	no	—
1170	C₂²⋊C₄	—	5	4	no	—
1171	C₂²⋊C₄	—	5	4	no	—
1172	C₂²⋊C₄	—	5	8	no	—
1173	C₂²⋊C₄	—	5	4	no	—
1174	C₂²⋊C₄	—	5	4	no	—
1175	C₂²⋊C₄	—	5	8	no	—
1176	C₂²⋊C₄	—	5	8	no	—
1177	C₂²⋊C₄	—	5	8	no	—
1178	C₂²⋊C₄	—	5	8	no	—
1179	C₂²⋊C₄	—	5	8	no	—
1180	C₂²⋊C₄	—	5	8	no	—
1181	C₂²⋊C₄	—	5	8	no	—
1182	C₂²⋊C₄	—	5	4	no	—
1183	C₂²⋊C₄	—	5	4	no	—
1184	C₂²⋊C₄	—	5	8	no	—
1185	C₂²⋊C₄	—	5	8	no	—
1186	C₂²⋊C₄	—	5	8	no	—
1187	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1188	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1189	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1190	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1191	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1192	C₄²	—	5	8	no	—
1193	C₄²	—	5	8	no	—
1194	C₄²	—	5	4	no	—
1195	C₄²	—	5	4	no	—
1196	C₄²	—	5	8	no	—
1197	C₄²	—	5	8	no	—
1198	C₄²	—	5	8	no	—
1199	C₄²	C₂³×D₅	1	8	yes	—
1200	C₂×C₅	—	4	4	no	—
1201	C₂×C₅	—	4	2	no	—
1202	C₂×C₅	—	4	2	no	—
1203	C₂×C₅	—	4	2	no	—
1204	C₂×C₅	#3540	1	4	yes	complemented
1205	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1206	C₂×C₅	C₂×#585	1	1	yes	characteristic
1207	C₂×C₅	C₂×#585	1	1	yes	characteristic
1208	D₅	—	4	2	no	—
1209	D₅	—	4	4	no	—
1210	D₅	—	4	2	no	—
1211	C₂³	—	2	2	no	—
1212	C₂³	—	2	2	no	—
1213	C₂³	—	2	2	no	—
1214	C₂³	—	2	4	no	—
1215	C₂³	—	2	4	no	—
1216	C₂³	—	2	2	no	—
1217	C₂³	—	2	2	no	—
1218	C₂³	—	2	4	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	4	4	no	—
1224	C₂³	—	4	4	no	—
1225	C₂³	—	4	4	no	—
1226	C₂³	—	4	16	no	—
1227	C₂³	—	5	2	no	—
1228	C₂³	—	5	4	no	—
1229	C₂³	—	5	2	no	—
1230	C₂³	—	10	2	no	—
1231	C₂³	—	10	2	no	—
1232	C₂³	—	10	4	no	—
1233	C₂³	—	10	4	no	—
1234	C₂³	—	10	2	no	—
1235	C₂³	—	10	2	no	—
1236	C₂³	—	10	4	no	—
1237	C₂³	—	10	2	no	—
1238	C₂³	—	10	2	no	—
1239	C₂³	—	20	8	no	—
1240	C₂³	—	20	8	no	—
1241	C₂³	—	20	8	no	—
1242	C₂³	—	40	16	no	—
1243	C₂³	C₂⁴×D₅	1	4	yes	—
1244	C₂³	C₂⁴×D₅	1	2	yes	—
1245	C₂³	C₂⁴×D₅	1	2	yes	—
1246	C₂³	C₂⁴×D₅	1	2	yes	—
1247	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1248	Q₈	—	2	8	no	—
1249	Q₈	—	10	8	no	—
1250	Q₈	—	20	8	no	—
1251	Q₈	—	20	4	no	—
1252	Q₈	—	20	8	no	—
1253	Q₈	—	20	8	no	—
1254	D₄	—	2	8	no	—
1255	D₄	—	4	8	no	—
1256	D₄	—	4	8	no	—
1257	D₄	—	4	8	no	—
1258	D₄	—	10	8	no	—
1259	D₄	—	20	4	no	—
1260	D₄	—	20	8	no	—
1261	D₄	—	20	8	no	—
1262	D₄	—	20	4	no	—
1263	D₄	—	20	4	no	—
1264	D₄	—	20	8	no	—
1265	D₄	—	20	4	no	—
1266	D₄	—	20	4	no	—
1267	D₄	—	20	8	no	—
1268	D₄	—	20	8	no	—
1269	D₄	—	20	8	no	—
1270	D₄	—	20	4	no	—
1271	D₄	—	20	4	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	8	no	—
1279	C₂×C₄	—	2	8	no	—
1280	C₂×C₄	—	2	8	no	—
1281	C₂×C₄	—	4	4	no	—
1282	C₂×C₄	—	4	4	no	—
1283	C₂×C₄	—	4	4	no	—
1284	C₂×C₄	—	4	8	no	—
1285	C₂×C₄	—	5	2	no	—
1286	C₂×C₄	—	5	2	no	—
1287	C₂×C₄	—	5	4	no	—
1288	C₂×C₄	—	5	4	no	—
1289	C₂×C₄	—	5	2	no	—
1290	C₂×C₄	—	5	2	no	—
1291	C₂×C₄	—	5	2	no	—
1292	C₂×C₄	—	5	2	no	—
1293	C₂×C₄	—	5	4	no	—
1294	C₂×C₄	—	10	2	no	—
1295	C₂×C₄	—	10	2	no	—
1296	C₂×C₄	—	10	4	no	—
1297	C₂×C₄	—	10	2	no	—
1298	C₂×C₄	—	10	2	no	—
1299	C₂×C₄	—	10	4	no	—
1300	C₂×C₄	—	10	4	no	—
1301	C₂×C₄	—	10	2	no	—
1302	C₂×C₄	—	10	2	no	—
1303	C₂×C₄	—	10	8	no	—
1304	C₂×C₄	—	10	8	no	—
1305	C₂×C₄	—	20	8	no	—
1306	C₂×C₄	—	20	8	no	—
1307	C₂×C₄	—	20	8	no	—
1308	C₂×C₄	—	20	8	no	—
1309	C₂×C₄	#4144	1	4	yes	—
1310	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1311	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1312	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1313	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1314	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1315	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1316	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1317	C₅	C₂×#3540	1	1	yes	characteristic, complemented, Sylow
1318	C₂²	—	2	2	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	2	no	—
1321	C₂²	—	2	4	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	2	no	—
1325	C₂²	—	2	4	no	—
1326	C₂²	—	2	2	no	—
1327	C₂²	—	2	2	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	4	16	no	—
1331	C₂²	—	4	4	no	—
1332	C₂²	—	4	4	no	—
1333	C₂²	—	4	4	no	—
1334	C₂²	—	4	8	no	—
1335	C₂²	—	10	2	no	—
1336	C₂²	—	10	2	no	—
1337	C₂²	—	10	4	no	—
1338	C₂²	—	10	4	no	—
1339	C₂²	—	10	2	no	—
1340	C₂²	—	10	2	no	—
1341	C₂²	—	10	4	no	—
1342	C₂²	—	10	2	no	—
1343	C₂²	—	10	2	no	—
1344	C₂²	—	20	4	no	—
1345	C₂²	—	20	8	no	—
1346	C₂²	—	20	4	no	—
1347	C₂²	—	40	16	no	—
1348	C₂²	C₂×#4144	1	2	yes	—
1349	C₂²	#66283	1	2	yes	—
1350	C₂²	#66283	1	2	yes	—
1351	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	4	no	—
1356	C₄	—	2	4	no	—
1357	C₄	—	2	4	no	—
1358	C₄	—	10	2	no	—
1359	C₄	—	10	2	no	—
1360	C₄	—	10	4	no	—
1361	C₄	—	10	2	no	—
1362	C₄	—	10	2	no	—
1363	C₄	—	10	4	no	—
1364	C₄	—	10	4	no	—
1365	C₄	—	10	2	no	—
1366	C₄	—	10	2	no	—
1367	C₄	C₂×#4144	1	4	yes	—
1368	C₂	—	4	2	no	—
1369	C₂	—	4	2	no	—
1370	C₂	—	4	2	no	—
1371	C₂	—	4	4	no	—
1372	C₂	—	20	2	no	—
1373	C₂	—	20	4	no	—
1374	C₂	—	20	2	no	—
1375	C₂	#10617933	1	4	yes	direct product factor
1376	C₂	C₂²×#4144	1	1	yes	characteristic
1377	C₂	C₂×#66283	1	1	yes	characteristic
1378	C₂	C₂×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#525	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#525	D₅
hypocenter	C₅	C₂×#3540
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#525	C₂	semidirect
2. C₂×#66165	C₂	semidirect
3. C₂×#66163	C₂	semidirect
4. C₂×#66125	C₂	semidirect
5. C₂×#66125	C₂	semidirect
6. #10617933	C₂	direct (N × H)
7. C₂×#65991	C₂	semidirect
8. C₂×#65996	C₂	semidirect
9. C₂×#65967	C₂	semidirect
10. C₂×#65962	C₂	semidirect
11. C₂×#65975	C₂	semidirect
12. C₂×#65977	C₂	semidirect
13. C₂×#65946	C₂	semidirect
14. C₂×#65941	C₂	semidirect
15. C₂×#65950	C₂	semidirect
16. C₂×#65937	C₂	semidirect
17. C₂×#65929	C₂	semidirect
18. C₂×#65928	C₂	semidirect
19. C₂×#65890	C₂	semidirect
20. C₂×#65895	C₂	semidirect
21. C₂×#65894	C₂	semidirect
22. C₂×#65893	C₂	semidirect
23. C₂×#65867	C₂	semidirect
24. C₂×#65866	C₂	semidirect
26. C₂⁴×C₄×C₅	C₂²	semidirect
27. C₂²×Q₈×D₅	C₂²	semidirect
28. C₂²×D₄×D₅	C₂²	semidirect
31. C₅×#525	C₂²	semidirect
32. C₂×C₅×#123	C₂²	semidirect
33. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
34. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₅×#120	C₂²	semidirect
38. C₂×C₄×C₅×D₄	C₂²	semidirect
39. C₂×C₄×C₅×D₄	C₂²	semidirect
40. C₂×C₅×#117	C₂²	semidirect
42. C₂×#4099	C₂²	semidirect
43. C₂×#4099	C₂²	semidirect
44. #66165	C₂²	semidirect
45. #66163	C₂²	semidirect
46. C₂×#4093	C₂²	semidirect
47. C₂×#4092	C₂²	semidirect
48. C₂×Q₈×Dic₅	C₂²	semidirect
51. C₂×#4085	C₂²	semidirect
53. C₂×#4084	C₂²	semidirect
54. C₂×#4084	C₂²	semidirect
58. C₂×#4082	C₂²	semidirect
59. C₂×#4082	C₂²	semidirect
60. C₂×#4082	C₂²	semidirect
61. C₂×#4082	C₂²	semidirect
62. C₂×#4081	C₂²	semidirect
63. C₂×D₄×Dic₅	C₂²	semidirect
64. #66125	C₂²	semidirect
65. #66125	C₂²	semidirect
71. C₂×#4075	C₂²	semidirect
72. C₂×#4075	C₂²	semidirect
73. C₂×#4075	C₂²	semidirect
76. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
77. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
78. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
79. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
81. C₂²×#685	C₂²	semidirect
82. C₂×#4072	C₂²	semidirect
83. C₂×#4072	C₂²	semidirect
84. C₂×#4070	C₂²	semidirect
85. C₂×#4070	C₂²	semidirect
86. C₂×#4070	C₂²	semidirect
87. C₂×#4070	C₂²	semidirect
88. C₂×#4070	C₂²	semidirect
89. #65996	C₂²	semidirect
90. #65991	C₂²	semidirect
91. #65977	C₂²	semidirect
92. #65975	C₂²	semidirect
93. #65967	C₂²	semidirect
94. #65962	C₂²	semidirect
95. #65950	C₂²	semidirect
96. #65946	C₂²	semidirect
97. #65941	C₂²	semidirect
98. #65937	C₂²	semidirect
99. #65929	C₂²	semidirect
100. #65928	C₂²	semidirect
101. #65895	C₂²	semidirect
102. #65894	C₂²	semidirect
103. #65893	C₂²	semidirect
104. #65890	C₂²	semidirect
105. #65867	C₂²	semidirect
106. #65866	C₂²	semidirect
107. C₂×#4044	C₂²	semidirect
108. C₂×#4044	C₂²	semidirect
109. C₂×#4043	C₂²	semidirect
110. C₂×#4043	C₂²	semidirect
111. C₂×#4042	C₂²	semidirect
112. C₂×#4041	C₂²	semidirect
113. C₂×#4040	C₂²	semidirect
114. C₂×#4039	C₂²	semidirect
115. C₂×#4039	C₂²	semidirect
116. C₂×#4038	C₂²	semidirect
117. C₂×#4038	C₂²	semidirect
118. C₂×#4034	C₂²	semidirect
119. C₂×#4034	C₂²	semidirect
120. C₂×#4034	C₂²	semidirect
121. C₂×#4033	C₂²	semidirect
122. C₂×#4033	C₂²	semidirect
126. C₂×#4031	C₂²	semidirect
127. C₂×#4031	C₂²	semidirect
128. C₂×#4031	C₂²	semidirect
129. C₂×#4031	C₂²	semidirect
130. C₂×#4031	C₂²	semidirect
131. C₂×#4030	C₂²	semidirect
132. C₂×#4030	C₂²	semidirect
133. C₂×#4029	C₂²	semidirect
134. C₂×#4029	C₂²	semidirect
135. C₂×#4029	C₂²	semidirect
136. C₂×#4028	C₂²	semidirect
137. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
138. C₂×#4025	C₂²	semidirect
139. C₂×#4025	C₂²	semidirect
140. C₂×#4025	C₂²	semidirect
141. C₂×#4024	C₂²	semidirect
142. C₂×#4023	C₂²	semidirect
143. C₂×#4022	C₂²	semidirect
144. C₂×#4021	C₂²	semidirect
145. C₂×#4018	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
165. C₂³×C₄×C₅	C₂³	semidirect
179. C₂×Q₈×D₅	C₂³	semidirect
181. C₂×D₄×D₅	C₂³	semidirect
199. C₅×#123	C₂³	semidirect
200. C₅×C₂²⋊Q₈	C₂³	semidirect
201. C₅×C₂²⋊Q₈	C₂³	semidirect
204. C₅×#120	C₂³	semidirect
205. C₄×C₅×D₄	C₂³	semidirect
206. C₄×C₅×D₄	C₂³	semidirect
207. C₅×#117	C₂³	semidirect
219. #4099	C₂³	semidirect
220. #4099	C₂³	semidirect
234. #4093	C₂³	semidirect
235. #4092	C₂³	semidirect
236. Q₈×Dic₅	C₂³	semidirect
239. #4085	C₂³	semidirect
241. #4084	C₂³	semidirect
242. #4084	C₂³	semidirect
246. #4082	C₂³	semidirect
247. #4082	C₂³	semidirect
248. #4082	C₂³	semidirect
249. #4082	C₂³	semidirect
250. #4081	C₂³	semidirect
251. D₄×Dic₅	C₂³	semidirect
257. #4075	C₂³	semidirect
258. #4075	C₂³	semidirect
259. #4075	C₂³	semidirect
262. C₄×C₂²⋊D₅	C₂³	semidirect
263. C₄×C₂²⋊D₅	C₂³	semidirect
264. C₄×C₂²⋊D₅	C₂³	semidirect
265. C₄×C₂²⋊D₅	C₂³	semidirect
266. C₄×C₂²⋊D₅	C₂³	semidirect
281. C₂×#685	C₂³	semidirect
282. #4072	C₂³	semidirect
283. #4072	C₂³	semidirect
290. #4070	C₂³	semidirect
291. #4070	C₂³	semidirect
292. #4070	C₂³	semidirect
293. #4070	C₂³	semidirect
294. #4070	C₂³	semidirect
312. #4044	C₂³	semidirect
313. #4044	C₂³	semidirect
314. #4043	C₂³	semidirect
315. #4043	C₂³	semidirect
316. #4042	C₂³	semidirect
317. #4041	C₂³	semidirect
318. #4040	C₂³	semidirect
319. #4039	C₂³	semidirect
320. #4039	C₂³	semidirect
321. #4038	C₂³	semidirect
322. #4038	C₂³	semidirect
323. #4034	C₂³	semidirect
324. #4034	C₂³	semidirect
325. #4034	C₂³	semidirect
326. #4033	C₂³	semidirect
327. #4033	C₂³	semidirect
331. #4031	C₂³	semidirect
332. #4031	C₂³	semidirect
333. #4031	C₂³	semidirect
334. #4031	C₂³	semidirect
335. #4031	C₂³	semidirect
336. #4030	C₂³	semidirect
337. #4030	C₂³	semidirect
338. #4029	C₂³	semidirect
339. #4029	C₂³	semidirect
340. #4029	C₂³	semidirect
341. #4028	C₂³	semidirect
342. D₅×C₂²⋊C₄	C₂³	semidirect
343. #4025	C₂³	semidirect
344. #4025	C₂³	semidirect
345. #4025	C₂³	semidirect
346. #4024	C₂³	semidirect
347. #4023	C₂³	semidirect
348. #4022	C₂³	semidirect
349. #4021	C₂³	semidirect
350. #4018	C₂³	semidirect
351. C₄×Dic₁₀	C₂³	semidirect
375. C₂×#525	D₅	semidirect
552. C₂⁴×C₄	C₂×D₅	semidirect
599. #525	C₂×D₅	semidirect
609. C₂×#123	C₂×D₅	semidirect
620. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
621. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
643. C₂×#120	C₂×D₅	semidirect
658. C₂×C₄×D₄	C₂×D₅	semidirect
659. C₂×C₄×D₄	C₂×D₅	semidirect
666. C₂×#117	C₂×D₅	semidirect
825. C₂³×C₄	C₂²×D₅	semidirect
859. #123	C₂²×D₅	semidirect
870. C₂²⋊Q₈	C₂²×D₅	semidirect
871. C₂²⋊Q₈	C₂²×D₅	semidirect
893. #120	C₂²×D₅	semidirect
908. C₄×D₄	C₂²×D₅	semidirect
909. C₄×D₄	C₂²×D₅	semidirect
916. #117	C₂²×D₅	semidirect
1204. C₂×C₅	#3540	semidirect
1317. C₅	C₂×#3540	semidirect
1375. C₂	#10617933	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×#525	2
C₂×#66165	2
C₂×#66163	2
C₂×#66125	2
#10617933	2
C₂×#65991	2
C₂×#65996	2
C₂×#65967	2
C₂×#65962	2
C₂×#65975	2
C₂×#65977	2
C₂×#65946	2
C₂×#65941	2
C₂×#65950	2
C₂×#65937	2
C₂×#65929	2
C₂×#65928	2
C₂×#65890	2
C₂×#65895	2
C₂×#65894	2
C₂×#65893	2
C₂×#65867	2
C₂×#65866	2
C₂×#3540	5

Subgroups — C2×#10617933 #13006594

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10617933 #13006594