Subgroups — C₂×#10618899 #13006650

Order 1280.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618899	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66061	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66058	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66039	C₂	1	2	yes	maximal, complemented
6	C₂×#66038	C₂	1	2	yes	maximal, complemented
7	C₂×#66046	C₂	1	2	yes	maximal, complemented
8	C₂×#66044	C₂	1	2	yes	maximal, complemented
9	C₂×#66011	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66010	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#66009	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65981	C₂	1	2	yes	maximal, complemented
14	C₂×#65968	C₂	1	2	yes	maximal, complemented
15	C₂×Q₈×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65910	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65916	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65912	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65914	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65918	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65888	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65895	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65861	C₂	1	2	yes	maximal, complemented
24	C₂×#65868	C₂	1	2	yes	maximal, complemented
25	C₂²×#713	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
27	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
28	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#711	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
31	C₅×#556	C₂²	1	16	yes	complemented
32	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₅×#126	C₂²	1	2	yes	complemented
34	C₂×C₅×#126	C₂²	1	2	yes	complemented
35	C₂×C₅×#124	C₂²	1	1	yes	characteristic
36	C₂×C₅×#124	C₂²	1	1	yes	characteristic
37	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
42	C₂×C₅×#117	C₂²	1	2	yes	complemented
43	C₂×#4093	C₂²	1	1	yes	characteristic
44	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4092	C₂²	1	1	yes	characteristic
46	C₂×#4092	C₂²	1	1	yes	characteristic
47	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
48	C₂×#4092	C₂²	1	2	yes	complemented
49	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
50	C₂×#4084	C₂²	1	1	yes	characteristic
51	C₂×#4082	C₂²	1	1	yes	characteristic
52	C₂×#4076	C₂²	1	2	yes	—
53	C₂×#4075	C₂²	1	2	yes	complemented
54	C₂²×#685	C₂²	1	2	yes	—
55	C₂×#4070	C₂²	1	2	yes	complemented
56	#66061	C₂²	1	16	yes	complemented
57	#66058	C₂²	1	16	yes	complemented
58	#66046	C₂²	1	32	yes	complemented
59	#66044	C₂²	1	32	yes	complemented
60	#66039	C₂²	1	32	yes	complemented
61	#66038	C₂²	1	32	yes	complemented
62	#66011	C₂²	1	16	yes	complemented
63	#66010	C₂²	1	16	yes	complemented
64	#66009	C₂²	1	16	yes	complemented
65	D₅×#124	C₂²	1	16	yes	complemented
66	#65981	C₂²	1	32	yes	complemented
67	#65968	C₂²	1	32	yes	complemented
68	#65918	C₂²	1	16	yes	complemented
69	#65916	C₂²	1	16	yes	complemented
70	#65914	C₂²	1	16	yes	complemented
71	#65912	C₂²	1	16	yes	complemented
72	#65910	C₂²	1	16	yes	complemented
73	Q₈×D₂₀	C₂²	1	16	yes	complemented
74	#65895	C₂²	1	16	yes	complemented
75	#65888	C₂²	1	16	yes	complemented
76	#65868	C₂²	1	32	yes	complemented
77	#65861	C₂²	1	32	yes	complemented
78	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
79	C₂×#4044	C₂²	1	2	yes	complemented
80	C₂×#4044	C₂²	1	2	yes	complemented
81	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
82	C₂×#4043	C₂²	1	2	yes	—
83	C₂×#4043	C₂²	1	1	yes	characteristic
84	C₂×#4043	C₂²	1	2	yes	complemented
85	C₂×#4043	C₂²	1	2	yes	complemented
86	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
87	C₂×#4042	C₂²	1	2	yes	—
88	C₂×#4042	C₂²	1	2	yes	—
89	C₂×#4042	C₂²	1	2	yes	complemented
90	C₂×#4042	C₂²	1	2	yes	complemented
91	C₂×#4042	C₂²	1	2	yes	complemented
92	C₂×#4042	C₂²	1	2	yes	complemented
93	C₂×#4041	C₂²	1	1	yes	characteristic
94	C₂×#4041	C₂²	1	1	yes	characteristic
95	C₂×#4041	C₂²	1	2	yes	complemented
96	C₂×#4040	C₂²	1	1	yes	characteristic
97	C₂×#4040	C₂²	1	1	yes	characteristic
98	C₂×#4040	C₂²	1	2	yes	complemented
99	C₂×#4040	C₂²	1	2	yes	complemented
100	C₂×#4040	C₂²	1	2	yes	complemented
101	C₂×#4039	C₂²	1	2	yes	—
102	C₂×#4038	C₂²	1	2	yes	complemented
103	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
104	C₂×#4035	C₂²	1	2	yes	complemented
105	C₂×#4034	C₂²	1	2	yes	complemented
106	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
107	C₂×#4032	C₂²	1	2	yes	—
108	C₂×#4031	C₂²	1	2	yes	—
109	C₂×#4031	C₂²	1	2	yes	—
110	C₂×#4031	C₂²	1	2	yes	complemented
111	C₂×#4031	C₂²	1	2	yes	complemented
112	C₂×#4030	C₂²	1	2	yes	—
113	C₂×#4030	C₂²	1	2	yes	complemented
114	C₂×#4029	C₂²	1	2	yes	—
115	C₂×#4029	C₂²	1	2	yes	complemented
116	C₂×#4029	C₂²	1	2	yes	complemented
117	C₂×#4028	C₂²	1	2	yes	—
118	C₂×#4028	C₂²	1	2	yes	—
119	C₂×#4027	C₂²	1	2	yes	complemented
120	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
123	C₂×#4025	C₂²	1	2	yes	complemented
124	C₂×#4024	C₂²	1	2	yes	complemented
125	C₂×#4024	C₂²	1	2	yes	complemented
126	C₂×#4024	C₂²	1	2	yes	complemented
127	C₂×#4022	C₂²	1	2	yes	complemented
128	C₂×#4021	C₂²	1	1	yes	characteristic
129	C₂×#4021	C₂²	1	1	yes	characteristic
130	C₂×#4021	C₂²	1	2	yes	complemented
131	C₂×#4021	C₂²	1	2	yes	complemented
132	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
133	C₂×C₄×D₂₀	C₂²	1	2	yes	—
134	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
135	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
137	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
138	C₂×#4018	C₂²	1	2	yes	—
139	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
140	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
142	C₂×#4015	C₂²	1	2	yes	complemented
143	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₁₀	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3561	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
150	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
151	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
152	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₅	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
157	C₂³×Dic₅	C₂³	1	2	yes	—
158	C₂×#713	—	4	4	no	—
159	C₂×#713	C₂³	1	8	yes	—
160	C₂×Q₈×D₅	—	4	4	no	—
161	C₂×Q₈×D₅	—	4	4	no	—
162	C₂×Q₈×D₅	—	4	4	no	—
163	C₂×Q₈×D₅	C₂³	1	8	yes	—
164	C₂×Q₈×D₅	C₂³	1	8	yes	complemented
165	C₂×Q₈×D₅	C₂³	1	8	yes	complemented
166	C₂×#711	—	4	4	no	—
167	C₂×#711	C₂³	1	8	yes	—
168	C₂×D₄×D₅	—	4	4	no	—
169	C₂×D₄×D₅	C₂³	1	8	yes	—
170	C₂²×D₂₀	C₂³	1	1	yes	characteristic
171	C₂²×D₂₀	C₂³	1	1	yes	characteristic
172	C₂²×D₂₀	C₂³	1	1	yes	characteristic
173	C₂²×D₂₀	C₂³	1	2	yes	—
174	C₂²×D₂₀	C₂³	1	1	yes	characteristic
175	C₂²×D₂₀	C₂³	1	2	yes	—
176	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₅	C₂³	1	2	yes	—
182	C₂²×C₄×D₅	C₂³	1	2	yes	—
183	C₂²×C₄×D₅	C₂³	1	2	yes	—
184	C₂²×C₄×D₅	C₂³	1	2	yes	—
185	C₂²×C₄×D₅	C₂³	1	2	yes	—
186	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
187	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₀	C₂³	1	2	yes	—
189	C₂²×Dic₁₀	C₂³	1	2	yes	—
190	C₂²×Dic₁₀	C₂³	1	2	yes	—
191	C₂²×Dic₁₀	C₂³	1	2	yes	—
192	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
193	C₅×#126	C₂³	1	16	yes	complemented
194	C₅×#126	C₂³	1	16	yes	complemented
195	C₅×#124	C₂³	1	8	yes	—
196	C₅×#124	C₂³	1	8	yes	—
197	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
198	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
199	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
200	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
201	C₄×C₅×D₄	C₂³	1	8	yes	—
202	C₅×#117	C₂³	1	16	yes	complemented
203	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
204	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
211	C₂×C₅×C₂²⋊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×C₄²×C₅	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₅	C₂³	1	2	yes	—
218	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₅	C₂³	1	2	yes	—
221	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
222	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
223	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
224	#4093	C₂³	1	8	yes	—
225	#4093	C₂³	1	8	yes	complemented
226	#4092	C₂³	1	8	yes	—
227	#4092	C₂³	1	8	yes	—
228	#4092	C₂³	1	8	yes	complemented
229	#4092	C₂³	1	16	yes	complemented
230	#4090	C₂³	1	8	yes	complemented
231	#4084	C₂³	1	8	yes	—
232	#4082	C₂³	1	8	yes	—
233	#4076	C₂³	1	16	yes	—
234	#4075	C₂³	1	16	yes	complemented
235	C₂×#685	C₂³	1	2	yes	—
236	C₂×#685	C₂³	1	2	yes	—
237	C₂×#685	C₂³	1	1	yes	characteristic
238	C₂×#685	C₂³	1	1	yes	characteristic
239	C₂×#685	C₂³	1	1	yes	characteristic
240	C₂×#685	C₂³	1	1	yes	characteristic
241	C₂×#685	C₂³	1	2	yes	—
242	C₂×#685	C₂³	1	2	yes	—
243	C₂×#685	C₂³	1	1	yes	characteristic
244	C₂×#685	C₂³	1	1	yes	characteristic
245	C₂×#685	C₂³	1	1	yes	characteristic
246	C₂×#685	C₂³	1	1	yes	characteristic
247	C₂×#685	C₂³	1	1	yes	characteristic
248	C₂×#685	C₂³	1	2	yes	—
249	C₂×#685	C₂³	1	1	yes	characteristic
250	C₂×#685	C₂³	1	2	yes	—
251	C₂×#685	C₂³	1	2	yes	—
252	C₂×#685	C₂³	1	2	yes	—
253	C₂×#685	C₂³	1	2	yes	—
254	C₂×#685	C₂³	1	2	yes	—
255	C₂×#685	C₂³	1	2	yes	—
256	C₂×#685	C₂³	1	2	yes	—
257	C₂×#685	C₂³	1	16	yes	—
258	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
260	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
261	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
264	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
266	#4070	C₂³	1	16	yes	complemented
267	C₂×#683	C₂³	1	2	yes	—
268	C₂×#683	C₂³	1	2	yes	—
269	C₂×#683	C₂³	1	2	yes	—
270	C₂×#683	C₂³	1	2	yes	—
271	C₂×#683	C₂³	1	2	yes	—
272	C₂×#683	C₂³	1	2	yes	—
273	C₂×#683	C₂³	1	1	yes	characteristic
274	C₂×#683	C₂³	1	1	yes	characteristic
275	C₂×#683	C₂³	1	1	yes	characteristic
276	C₂×#683	C₂³	1	1	yes	characteristic
277	C₂×#683	C₂³	1	2	yes	—
278	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₅	C₂³	1	2	yes	—
280	C₂×C₄×Dic₅	C₂³	1	2	yes	—
281	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
283	#4044	C₂³	1	16	yes	complemented
284	#4044	C₂³	1	8	yes	complemented
285	#4044	C₂³	1	8	yes	complemented
286	#4044	C₂³	1	16	yes	complemented
287	#4043	C₂³	1	8	yes	—
288	#4043	C₂³	1	16	yes	—
289	#4043	C₂³	1	8	yes	complemented
290	#4043	C₂³	1	16	yes	complemented
291	#4043	C₂³	1	16	yes	complemented
292	#4042	C₂³	1	16	yes	—
293	#4042	C₂³	1	16	yes	—
294	#4042	C₂³	1	16	yes	complemented
295	#4042	C₂³	1	16	yes	complemented
296	#4042	C₂³	1	16	yes	complemented
297	#4042	C₂³	1	16	yes	complemented
298	#4041	C₂³	1	8	yes	—
299	#4041	C₂³	1	8	yes	—
300	#4041	C₂³	1	16	yes	complemented
301	#4040	C₂³	1	8	yes	—
302	#4040	C₂³	1	8	yes	—
303	#4040	C₂³	1	16	yes	complemented
304	#4040	C₂³	1	16	yes	complemented
305	#4040	C₂³	1	16	yes	complemented
306	#4039	C₂³	1	16	yes	—
307	#4038	C₂³	1	16	yes	complemented
308	#4036	C₂³	1	8	yes	complemented
309	#4035	C₂³	1	16	yes	complemented
310	#4034	C₂³	1	16	yes	complemented
311	#4034	C₂³	1	8	yes	complemented
312	#4032	C₂³	1	16	yes	—
313	#4031	C₂³	1	16	yes	—
314	#4031	C₂³	1	16	yes	—
315	#4031	C₂³	1	16	yes	complemented
316	#4031	C₂³	1	16	yes	complemented
317	#4030	C₂³	1	16	yes	—
318	#4030	C₂³	1	16	yes	complemented
319	#4029	C₂³	1	16	yes	—
320	#4029	C₂³	1	16	yes	complemented
321	#4029	C₂³	1	16	yes	complemented
322	#4028	C₂³	1	16	yes	—
323	#4028	C₂³	1	16	yes	—
324	#4027	C₂³	1	16	yes	complemented
325	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
326	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
327	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
328	#4025	C₂³	1	16	yes	complemented
329	#4024	C₂³	1	16	yes	complemented
330	#4024	C₂³	1	16	yes	complemented
331	#4024	C₂³	1	16	yes	complemented
332	#4022	C₂³	1	16	yes	complemented
333	#4021	C₂³	1	8	yes	—
334	#4021	C₂³	1	8	yes	—
335	#4021	C₂³	1	16	yes	complemented
336	#4021	C₂³	1	16	yes	complemented
337	C₄×D₂₀	C₂³	1	8	yes	—
338	C₄×D₂₀	C₂³	1	16	yes	—
339	C₄×D₂₀	C₂³	1	8	yes	—
340	C₄×D₂₀	C₂³	1	8	yes	—
341	C₄×D₂₀	C₂³	1	16	yes	complemented
342	C₄×D₂₀	C₂³	1	8	yes	complemented
343	#4018	C₂³	1	16	yes	—
344	#4018	C₂³	1	8	yes	complemented
345	#4018	C₂³	1	8	yes	complemented
346	C₄²×D₅	C₂³	1	8	yes	—
347	#4015	C₂³	1	16	yes	complemented
348	#4015	C₂³	1	8	yes	complemented
349	C₄×Dic₁₀	C₂³	1	8	yes	complemented
350	C₄×Dic₁₀	C₂³	1	16	yes	complemented
351	C₄×Dic₁₀	C₂³	1	8	yes	complemented
352	#3561	—	5	32	no	—
353	C₂×#563	—	5	2	no	—
354	C₂×#562	—	5	2	no	—
355	C₂×#556	—	5	1	no	—
356	C₂×#556	D₅	1	1	yes	characteristic, complemented
357	C₂×#551	—	5	2	no	—
358	C₂×#551	—	5	2	no	—
359	C₂×D₄×Q₈	—	5	1	no	—
360	C₂×D₄×Q₈	—	5	1	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×#543	—	5	2	no	—
366	C₂×#542	—	5	2	no	—
367	C₂×#542	—	5	1	no	—
368	C₂×#542	—	5	1	no	—
369	C₂×#542	—	5	2	no	—
370	C₂×#538	—	5	2	no	—
371	C₂×#536	—	5	1	no	—
372	C₂×#536	—	5	1	no	—
373	C₂×#533	—	5	1	no	—
374	C₂×#529	—	5	1	no	—
375	C₂²×#124	—	5	1	no	—
376	C₂⁴×C₅	C₂⁴	1	2	yes	—
377	C₂³×D₅	—	2	8	no	—
378	C₂³×D₅	—	4	4	no	—
379	C₂³×D₅	—	4	4	no	—
380	C₂³×D₅	C₂⁴	1	1	yes	characteristic
381	C₂³×D₅	C₂⁴	1	1	yes	characteristic
382	C₂³×D₅	C₂⁴	1	2	yes	—
383	C₂³×D₅	C₂⁴	1	1	yes	characteristic
384	C₂³×D₅	C₂⁴	1	8	yes	—
385	C₂×C₅×Q₈	—	2	4	no	—
386	C₂×C₅×Q₈	—	2	4	no	—
387	C₂×C₅×Q₈	—	4	2	no	—
388	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
389	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
390	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
391	C₂×C₅×D₄	—	2	4	no	—
392	C₂×C₅×D₄	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₅	—	4	4	no	—
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
400	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂×C₂²⋊D₅	—	4	4	no	—
406	C₂×C₂²⋊D₅	—	4	4	no	—
407	C₂×C₂²⋊D₅	—	4	4	no	—
408	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
410	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
411	C₂²×Dic₅	—	4	4	no	—
412	C₂²×Dic₅	C₂⁴	1	2	yes	—
413	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₅	C₂⁴	1	2	yes	—
417	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₅	C₂⁴	1	2	yes	—
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	8	yes	—
421	#713	—	4	16	no	—
422	Q₈×D₅	—	4	16	no	—
423	Q₈×D₅	—	4	16	no	—
424	Q₈×D₅	—	4	16	no	—
425	#711	—	4	16	no	—
426	D₄×D₅	—	4	16	no	—
427	C₂×D₂₀	—	2	4	no	—
428	C₂×D₂₀	—	2	4	no	—
429	C₂×D₂₀	—	2	4	no	—
430	C₂×D₂₀	—	4	4	no	—
431	C₂×D₂₀	—	4	2	no	—
432	C₂×D₂₀	—	4	4	no	—
433	C₂×D₂₀	C₂⁴	1	4	yes	—
434	C₂×D₂₀	C₂⁴	1	4	yes	—
435	C₂×D₂₀	C₂⁴	1	4	yes	—
436	C₂×D₂₀	C₂⁴	1	8	yes	—
437	C₂×D₂₀	C₂⁴	1	8	yes	—
438	C₂×D₂₀	C₂⁴	1	4	yes	—
439	C₂×C₄×D₅	—	2	4	no	—
440	C₂×C₄×D₅	—	2	4	no	—
441	C₂×C₄×D₅	—	2	4	no	—
442	C₂×C₄×D₅	—	2	4	no	—
443	C₂×C₄×D₅	—	4	2	no	—
444	C₂×C₄×D₅	—	4	4	no	—
445	C₂×C₄×D₅	—	4	4	no	—
446	C₂×C₄×D₅	—	4	4	no	—
447	C₂×C₄×D₅	—	4	4	no	—
448	C₂×C₄×D₅	—	4	4	no	—
449	C₂×C₄×D₅	C₂⁴	1	4	yes	—
450	C₂×C₄×D₅	C₂⁴	1	4	yes	—
451	C₂×C₄×D₅	C₂⁴	1	4	yes	—
452	C₂×C₄×D₅	C₂⁴	1	4	yes	—
453	C₂×C₄×D₅	C₂⁴	1	8	yes	—
454	C₂×C₄×D₅	C₂⁴	1	8	yes	—
455	C₂×C₄×D₅	C₂⁴	1	8	yes	—
456	C₂×C₄×D₅	C₂⁴	1	8	yes	—
457	C₂×C₄×D₅	C₂⁴	1	4	yes	—
458	C₂×C₄×D₅	C₂⁴	1	8	yes	—
459	C₂×Dic₁₀	—	2	4	no	—
460	C₂×Dic₁₀	—	2	4	no	—
461	C₂×Dic₁₀	—	4	4	no	—
462	C₂×Dic₁₀	—	4	4	no	—
463	C₂×Dic₁₀	—	4	4	no	—
464	C₂×Dic₁₀	—	4	4	no	—
465	C₂×Dic₁₀	C₂⁴	1	4	yes	—
466	C₂×Dic₁₀	C₂⁴	1	4	yes	—
467	C₂×Dic₁₀	C₂⁴	1	8	yes	—
468	C₂×Dic₁₀	C₂⁴	1	8	yes	—
469	C₂×Dic₁₀	C₂⁴	1	8	yes	—
470	C₂×Dic₁₀	C₂⁴	1	8	yes	—
471	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
472	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
473	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
474	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
475	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
476	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
477	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
478	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
479	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
481	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
482	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
484	C₄²×C₅	C₂⁴	1	8	yes	—
485	C₄²×C₅	C₂⁴	1	8	yes	—
486	C₄²×C₅	C₂⁴	1	4	yes	—
487	C₄²×C₅	C₂⁴	1	4	yes	—
488	C₄²×C₅	C₂⁴	1	4	yes	—
489	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
490	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
491	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
492	#685	C₂⁴	1	8	yes	—
493	#685	C₂⁴	1	8	yes	—
494	#685	C₂⁴	1	4	yes	—
495	#685	C₂⁴	1	4	yes	—
496	#685	C₂⁴	1	4	yes	—
497	#685	C₂⁴	1	4	yes	—
498	#685	C₂⁴	1	8	yes	—
499	#685	C₂⁴	1	8	yes	—
500	#685	C₂⁴	1	4	yes	—
501	#685	C₂⁴	1	4	yes	—
502	#685	C₂⁴	1	4	yes	—
503	#685	C₂⁴	1	4	yes	—
504	#685	C₂⁴	1	4	yes	—
505	#685	C₂⁴	1	8	yes	—
506	#685	C₂⁴	1	4	yes	—
507	#685	C₂⁴	1	8	yes	—
508	#685	C₂⁴	1	8	yes	—
509	#685	C₂⁴	1	8	yes	—
510	#685	C₂⁴	1	8	yes	—
511	#685	C₂⁴	1	8	yes	—
512	#685	C₂⁴	1	8	yes	—
513	#685	C₂⁴	1	8	yes	—
514	C₄⋊Dic₅	C₂⁴	1	4	yes	—
515	C₄⋊Dic₅	C₂⁴	1	8	yes	—
516	C₄⋊Dic₅	C₂⁴	1	8	yes	—
517	C₄⋊Dic₅	C₂⁴	1	4	yes	—
518	C₄⋊Dic₅	C₂⁴	1	8	yes	—
519	C₄⋊Dic₅	C₂⁴	1	8	yes	—
520	C₄⋊Dic₅	C₂⁴	1	4	yes	—
521	C₄⋊Dic₅	C₂⁴	1	4	yes	—
522	#683	C₂⁴	1	8	yes	—
523	#683	C₂⁴	1	8	yes	—
524	#683	C₂⁴	1	8	yes	—
525	#683	C₂⁴	1	8	yes	—
526	#683	C₂⁴	1	8	yes	—
527	#683	C₂⁴	1	8	yes	—
528	#683	C₂⁴	1	4	yes	—
529	#683	C₂⁴	1	4	yes	—
530	#683	C₂⁴	1	4	yes	—
531	#683	C₂⁴	1	4	yes	—
532	#683	C₂⁴	1	8	yes	—
533	C₄×Dic₅	C₂⁴	1	4	yes	—
534	C₄×Dic₅	C₂⁴	1	8	yes	—
535	C₄×Dic₅	C₂⁴	1	8	yes	—
536	C₄×Dic₅	C₂⁴	1	4	yes	—
537	C₄×Dic₅	C₂⁴	1	4	yes	—
538	C₂²×#41	—	5	1	no	—
539	C₂²×#41	—	5	1	no	—
540	C₂³×Q₈	—	5	1	no	—
541	C₂³×Q₈	—	5	1	no	—
542	C₂³×Q₈	—	5	1	no	—
543	C₂³×D₄	—	5	1	no	—
544	#563	—	5	32	no	—
545	#562	—	5	32	no	—
546	#556	—	5	16	no	—
547	#556	C₂×D₅	1	16	yes	complemented
548	#551	—	5	32	no	—
549	#551	—	5	32	no	—
550	D₄×Q₈	—	5	16	no	—
551	D₄×Q₈	—	5	16	no	—
552	#548	—	5	16	no	—
553	#548	—	5	16	no	—
554	#546	—	5	16	no	—
555	#546	—	5	16	no	—
556	#543	—	5	32	no	—
557	#542	—	5	32	no	—
558	#542	—	5	16	no	—
559	#542	—	5	16	no	—
560	#542	—	5	32	no	—
561	#538	—	5	32	no	—
562	#536	—	5	16	no	—
563	#536	—	5	16	no	—
564	#533	—	5	16	no	—
565	C₂×C₄⋊Q₈	—	5	1	no	—
566	C₂×C₄⋊Q₈	—	5	1	no	—
567	C₂×C₄⋊Q₈	—	5	2	no	—
568	C₂×C₄⋊Q₈	—	5	1	no	—
569	C₂×C₄⋊Q₈	—	5	2	no	—
570	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
571	#529	—	5	16	no	—
572	C₂×#126	—	5	1	no	—
573	C₂×#126	—	5	1	no	—
574	C₂×#126	—	5	2	no	—
575	C₂×#126	—	5	2	no	—
576	C₂×#126	—	5	2	no	—
577	C₂×#126	—	5	2	no	—
578	C₂×#126	C₂×D₅	1	2	yes	complemented
579	C₂×#126	C₂×D₅	1	2	yes	complemented
580	C₂×#125	—	5	2	no	—
581	C₂×#125	—	5	1	no	—
582	C₂×#124	—	5	1	no	—
583	C₂×#124	—	5	1	no	—
584	C₂×#124	—	5	1	no	—
585	C₂×#124	—	5	16	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	1	no	—
591	C₂×#124	—	5	1	no	—
592	C₂×#124	—	5	2	no	—
593	C₂×#124	—	5	2	no	—
594	C₂×#124	C₂×D₅	1	1	yes	characteristic
595	C₂×#124	C₂×D₅	1	1	yes	characteristic
596	C₂×#123	—	5	2	no	—
597	C₂×#123	—	5	1	no	—
598	C₂×#123	—	5	1	no	—
599	C₂×#123	—	5	2	no	—
600	C₂×#123	—	5	2	no	—
601	C₂×#123	—	5	2	no	—
602	C₂×#123	—	5	2	no	—
603	C₂×#123	—	5	2	no	—
604	C₂×#123	—	5	2	no	—
605	C₂×#123	—	5	2	no	—
606	C₂×C₂²⋊Q₈	—	5	1	no	—
607	C₂×C₂²⋊Q₈	—	5	1	no	—
608	C₂×C₂²⋊Q₈	—	5	1	no	—
609	C₂×C₂²⋊Q₈	—	5	2	no	—
610	C₂×C₂²⋊Q₈	—	5	2	no	—
611	C₂×C₂²⋊Q₈	—	5	2	no	—
612	C₂×C₂²⋊Q₈	—	5	2	no	—
613	C₂×C₂²⋊Q₈	—	5	2	no	—
614	C₂×C₂²⋊Q₈	—	5	2	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	1	no	—
620	C₂×C₂²⋊Q₈	—	5	2	no	—
621	C₂×C₂²⋊Q₈	—	5	2	no	—
622	C₂×C₂²⋊Q₈	—	5	2	no	—
623	C₂×C₂²⋊Q₈	—	5	2	no	—
624	C₂×C₂²⋊Q₈	—	5	2	no	—
625	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
626	C₂×#121	—	5	1	no	—
627	C₂×#121	—	5	2	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×#120	—	5	2	no	—
634	C₂×#120	—	5	2	no	—
635	C₂×C₄×Q₈	—	5	2	no	—
636	C₂×C₄×Q₈	—	5	1	no	—
637	C₂×C₄×Q₈	—	5	1	no	—
638	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
639	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
640	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
641	C₂×C₄×D₄	—	5	2	no	—
642	C₂×C₄×D₄	—	5	2	no	—
643	C₂×C₄×D₄	—	5	1	no	—
644	C₂×C₄×D₄	—	5	1	no	—
645	C₂×C₄×D₄	—	5	2	no	—
646	C₂×C₄×D₄	—	5	1	no	—
647	C₂×C₄×D₄	—	5	1	no	—
648	C₂×C₄×D₄	—	5	2	no	—
649	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
650	C₂×#117	—	5	2	no	—
651	C₂×#117	—	5	2	no	—
652	C₂×#117	—	5	1	no	—
653	C₂×#117	—	5	1	no	—
654	C₂×#117	C₂×D₅	1	2	yes	complemented
655	C₂²×C₂²⋊C₄	—	5	2	no	—
656	C₂²×C₂²⋊C₄	—	5	2	no	—
657	C₂²×C₂²⋊C₄	—	5	2	no	—
658	C₂²×C₂²⋊C₄	—	5	2	no	—
659	C₂²×C₄²	—	5	1	no	—
660	C₂³×C₅	—	2	4	no	—
661	C₂³×C₅	—	2	4	no	—
662	C₂³×C₅	—	2	4	no	—
663	C₂³×C₅	C₂⁵	1	4	yes	—
664	C₂³×C₅	C₂⁵	1	1	yes	characteristic
665	C₂²×D₅	—	2	2	no	—
666	C₂²×D₅	—	2	2	no	—
667	C₂²×D₅	—	2	2	no	—
668	C₂²×D₅	—	2	2	no	—
669	C₂²×D₅	—	2	4	no	—
670	C₂²×D₅	—	2	2	no	—
671	C₂²×D₅	—	2	2	no	—
672	C₂²×D₅	—	2	4	no	—
673	C₂²×D₅	—	2	4	no	—
674	C₂²×D₅	—	2	2	no	—
675	C₂²×D₅	—	2	2	no	—
676	C₂²×D₅	—	2	16	no	—
677	C₂²×D₅	—	4	8	no	—
678	C₂²×D₅	—	4	8	no	—
679	C₂²×D₅	—	8	16	no	—
680	C₂²×D₅	2₋¹⁺⁴	1	4	yes	—
681	C₂²×D₅	C₂⁵	1	4	yes	—
682	C₂²×D₅	C₂⁵	1	2	yes	—
683	C₂²×D₅	C₂⁵	1	2	yes	—
684	C₂²×D₅	C₂⁵	1	2	yes	—
685	C₅×Q₈	—	2	8	no	—
686	C₅×Q₈	—	2	8	no	—
687	C₅×Q₈	—	4	4	no	—
688	C₅×D₄	—	2	8	no	—
689	C₂×C₄×C₅	—	2	4	no	—
690	C₂×C₄×C₅	—	2	4	no	—
691	C₂×C₄×C₅	—	2	2	no	—
692	C₂×C₄×C₅	—	2	2	no	—
693	C₂×C₄×C₅	—	2	2	no	—
694	C₂×C₄×C₅	—	2	4	no	—
695	C₂×C₄×C₅	—	2	2	no	—
696	C₂×C₄×C₅	—	2	2	no	—
697	C₂×C₄×C₅	—	2	2	no	—
698	C₂×C₄×C₅	—	4	8	no	—
699	C₂×C₄×C₅	H(5,𝔽₂)	1	4	yes	—
700	C₂×C₄×C₅	C₂⁵	1	2	yes	—
701	C₂×C₄×C₅	C₂⁵	1	2	yes	—
702	C₂×C₄×C₅	C₂⁵	1	2	yes	—
703	C₂×C₄×C₅	C₂⁵	1	2	yes	—
704	C₂×C₄×C₅	C₂⁵	1	4	yes	—
705	C₂×C₄×C₅	C₂⁵	1	2	yes	—
706	C₂×C₄×C₅	C₂⁵	1	4	yes	—
707	C₂×C₄×C₅	C₂⁵	1	2	yes	—
708	C₂×C₄×C₅	C₂⁵	1	4	yes	—
709	C₂×C₄×C₅	C₂⁵	1	2	yes	—
710	C₂²⋊D₅	—	4	8	no	—
711	C₂²⋊D₅	—	4	8	no	—
712	C₂²⋊D₅	—	4	8	no	—
713	C₂×Dic₅	—	2	4	no	—
714	C₂×Dic₅	—	2	4	no	—
715	C₂×Dic₅	—	2	2	no	—
716	C₂×Dic₅	—	2	2	no	—
717	C₂×Dic₅	—	2	2	no	—
718	C₂×Dic₅	—	2	2	no	—
719	C₂×Dic₅	—	2	2	no	—
720	C₂×Dic₅	—	2	4	no	—
721	C₂×Dic₅	—	4	8	no	—
722	C₂×Dic₅	C₂⁵	1	2	yes	—
723	C₂×Dic₅	C₂⁵	1	4	yes	—
724	C₂×Dic₅	C₂⁵	1	2	yes	—
725	C₂×Dic₅	C₂⁵	1	2	yes	—
726	C₂×Dic₅	C₂⁵	1	4	yes	—
727	C₂×Dic₅	C₂⁵	1	4	yes	—
728	C₂×Dic₅	C₂⁵	1	2	yes	—
729	C₂×Dic₅	C₂⁵	1	2	yes	—
730	D₂₀	—	2	8	no	—
731	D₂₀	—	2	8	no	—
732	D₂₀	—	2	8	no	—
733	D₂₀	—	4	8	no	—
734	D₂₀	—	4	4	no	—
735	D₂₀	—	4	8	no	—
736	C₄×D₅	—	2	8	no	—
737	C₄×D₅	—	2	8	no	—
738	C₄×D₅	—	2	8	no	—
739	C₄×D₅	—	2	8	no	—
740	C₄×D₅	—	4	4	no	—
741	C₄×D₅	—	4	8	no	—
742	C₄×D₅	—	4	8	no	—
743	C₄×D₅	—	4	8	no	—
744	C₄×D₅	—	4	8	no	—
745	C₄×D₅	—	4	8	no	—
746	Dic₁₀	—	2	8	no	—
747	Dic₁₀	—	2	8	no	—
748	Dic₁₀	—	4	8	no	—
749	Dic₁₀	—	4	8	no	—
750	Dic₁₀	—	4	8	no	—
751	Dic₁₀	—	4	8	no	—
752	C₂⁵	—	5	2	no	—
753	C₂×#41	—	5	8	no	—
754	C₂×#41	—	5	8	no	—
755	C₂×#41	—	20	4	no	—
756	C₂×#41	—	20	4	no	—
757	C₂²×Q₈	—	5	8	no	—
758	C₂²×Q₈	—	5	8	no	—
759	C₂²×Q₈	—	5	8	no	—
760	C₂²×Q₈	—	5	1	no	—
761	C₂²×Q₈	—	5	1	no	—
762	C₂²×Q₈	—	5	2	no	—
763	C₂²×Q₈	—	5	2	no	—
764	C₂²×Q₈	—	5	2	no	—
765	C₂²×Q₈	—	5	2	no	—
766	C₂²×Q₈	—	20	4	no	—
767	C₂²×Q₈	—	20	4	no	—
768	C₂²×Q₈	—	20	4	no	—
769	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
770	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
771	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
772	C₂²×D₄	—	5	2	no	—
773	C₂²×D₄	—	5	2	no	—
774	C₂²×D₄	—	5	2	no	—
775	C₂²×D₄	—	5	8	no	—
776	C₂²×D₄	—	5	1	no	—
777	C₂²×D₄	—	5	1	no	—
778	C₂²×D₄	—	5	1	no	—
779	C₂²×D₄	—	5	2	no	—
780	C₂²×D₄	—	5	1	no	—
781	C₂²×D₄	—	5	2	no	—
782	C₂²×D₄	—	20	4	no	—
783	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
784	C₂³×C₄	—	5	2	no	—
785	C₂³×C₄	—	5	1	no	—
786	C₂³×C₄	—	5	1	no	—
787	C₂³×C₄	—	5	1	no	—
788	C₂³×C₄	—	5	1	no	—
789	C₂³×C₄	—	5	2	no	—
790	C₂³×C₄	—	5	1	no	—
791	C₂³×C₄	—	5	2	no	—
792	C₂³×C₄	—	5	2	no	—
793	C₂³×C₄	—	5	2	no	—
794	C₂³×C₄	—	5	2	no	—
795	C₂³×C₄	C₂²×D₅	1	2	yes	—
796	C₄⋊Q₈	—	5	8	no	—
797	C₄⋊Q₈	—	5	8	no	—
798	C₄⋊Q₈	—	5	16	no	—
799	C₄⋊Q₈	—	5	8	no	—
800	C₄⋊Q₈	—	5	16	no	—
801	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
802	#126	—	5	8	no	—
803	#126	—	5	8	no	—
804	#126	—	5	16	no	—
805	#126	—	5	16	no	—
806	#126	—	5	16	no	—
807	#126	—	5	16	no	—
808	#126	C₂²×D₅	1	16	yes	complemented
809	#126	C₂²×D₅	1	16	yes	complemented
810	#125	—	5	8	no	—
811	#125	—	5	16	no	—
812	#124	—	5	8	no	—
813	#124	—	5	8	no	—
814	#124	—	5	8	no	—
815	#124	—	5	16	no	—
816	#124	—	5	16	no	—
817	#124	—	5	16	no	—
818	#124	—	5	16	no	—
819	#124	—	5	8	no	—
820	#124	—	5	8	no	—
821	#124	—	5	16	no	—
822	#124	—	5	16	no	—
823	#124	C₂²×D₅	1	8	yes	—
824	#124	C₂²×D₅	1	8	yes	—
825	#123	—	5	16	no	—
826	#123	—	5	8	no	—
827	#123	—	5	8	no	—
828	#123	—	5	16	no	—
829	#123	—	5	16	no	—
830	#123	—	5	16	no	—
831	#123	—	5	16	no	—
832	#123	—	5	16	no	—
833	#123	—	5	16	no	—
834	#123	—	5	16	no	—
835	C₂²⋊Q₈	—	5	8	no	—
836	C₂²⋊Q₈	—	5	8	no	—
837	C₂²⋊Q₈	—	5	8	no	—
838	C₂²⋊Q₈	—	5	16	no	—
839	C₂²⋊Q₈	—	5	16	no	—
840	C₂²⋊Q₈	—	5	16	no	—
841	C₂²⋊Q₈	—	5	8	no	—
842	C₂²⋊Q₈	—	5	16	no	—
843	C₂²⋊Q₈	—	5	16	no	—
844	C₂²⋊Q₈	—	5	16	no	—
845	C₂²⋊Q₈	—	5	8	no	—
846	C₂²⋊Q₈	—	5	16	no	—
847	C₂²⋊Q₈	—	5	16	no	—
848	C₂²⋊Q₈	—	5	16	no	—
849	C₂²⋊Q₈	—	5	16	no	—
850	C₂²⋊Q₈	—	5	16	no	—
851	C₂²⋊Q₈	—	5	16	no	—
852	C₂²⋊Q₈	—	5	16	no	—
853	C₂²⋊Q₈	—	5	16	no	—
854	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
855	#121	—	5	8	no	—
856	#121	—	5	16	no	—
857	#121	—	5	8	no	—
858	#121	—	5	16	no	—
859	#121	—	5	8	no	—
860	#121	—	5	16	no	—
861	#121	—	5	16	no	—
862	#120	—	5	16	no	—
863	#120	—	5	16	no	—
864	C₄×Q₈	—	5	16	no	—
865	C₄×Q₈	—	5	8	no	—
866	C₄×Q₈	—	5	8	no	—
867	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
868	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
869	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
870	C₄×D₄	—	5	16	no	—
871	C₄×D₄	—	5	16	no	—
872	C₄×D₄	—	5	8	no	—
873	C₄×D₄	—	5	8	no	—
874	C₄×D₄	—	5	8	no	—
875	C₄×D₄	—	5	16	no	—
876	C₄×D₄	—	5	8	no	—
877	C₄×D₄	—	5	16	no	—
878	C₄×D₄	C₂²×D₅	1	8	yes	—
879	#117	—	5	16	no	—
880	#117	—	5	8	no	—
881	#117	—	5	8	no	—
882	#117	—	5	16	no	—
883	#117	C₂²×D₅	1	16	yes	complemented
884	C₂×C₄⋊C₄	—	5	1	no	—
885	C₂×C₄⋊C₄	—	5	1	no	—
886	C₂×C₄⋊C₄	—	5	2	no	—
887	C₂×C₄⋊C₄	—	5	2	no	—
888	C₂×C₄⋊C₄	—	5	1	no	—
889	C₂×C₄⋊C₄	—	5	1	no	—
890	C₂×C₄⋊C₄	—	5	2	no	—
891	C₂×C₄⋊C₄	—	5	1	no	—
892	C₂×C₄⋊C₄	—	5	1	no	—
893	C₂×C₄⋊C₄	—	5	2	no	—
894	C₂×C₄⋊C₄	—	5	2	no	—
895	C₂×C₄⋊C₄	—	5	2	no	—
896	C₂×C₄⋊C₄	—	5	1	no	—
897	C₂×C₄⋊C₄	—	5	1	no	—
898	C₂×C₄⋊C₄	—	5	2	no	—
899	C₂×C₄⋊C₄	—	5	2	no	—
900	C₂×C₄⋊C₄	—	5	2	no	—
901	C₂×C₄⋊C₄	—	5	2	no	—
902	C₂×C₄⋊C₄	—	5	2	no	—
903	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
906	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
907	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
909	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
911	C₂×C₂²⋊C₄	—	5	2	no	—
912	C₂×C₂²⋊C₄	—	5	2	no	—
913	C₂×C₂²⋊C₄	—	5	2	no	—
914	C₂×C₂²⋊C₄	—	5	1	no	—
915	C₂×C₂²⋊C₄	—	5	1	no	—
916	C₂×C₂²⋊C₄	—	5	2	no	—
917	C₂×C₂²⋊C₄	—	5	2	no	—
918	C₂×C₂²⋊C₄	—	5	2	no	—
919	C₂×C₂²⋊C₄	—	5	2	no	—
920	C₂×C₂²⋊C₄	—	5	2	no	—
921	C₂×C₂²⋊C₄	—	5	2	no	—
922	C₂×C₂²⋊C₄	—	5	2	no	—
923	C₂×C₂²⋊C₄	—	5	2	no	—
924	C₂×C₂²⋊C₄	—	5	16	no	—
925	C₂×C₂²⋊C₄	—	5	2	no	—
926	C₂×C₂²⋊C₄	—	5	1	no	—
927	C₂×C₂²⋊C₄	—	5	1	no	—
928	C₂×C₂²⋊C₄	—	5	1	no	—
929	C₂×C₂²⋊C₄	—	5	1	no	—
930	C₂×C₂²⋊C₄	—	5	1	no	—
931	C₂×C₂²⋊C₄	—	5	1	no	—
932	C₂×C₂²⋊C₄	—	5	2	no	—
933	C₂×C₂²⋊C₄	—	5	1	no	—
934	C₂×C₂²⋊C₄	—	5	1	no	—
935	C₂×C₂²⋊C₄	—	5	2	no	—
936	C₂×C₂²⋊C₄	—	5	2	no	—
937	C₂×C₂²⋊C₄	—	5	16	no	—
938	C₂×C₂²⋊C₄	—	5	16	no	—
939	C₂×C₂²⋊C₄	—	5	16	no	—
940	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
941	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
942	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
943	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
944	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
945	C₂×C₄²	—	5	2	no	—
946	C₂×C₄²	—	5	1	no	—
947	C₂×C₄²	—	5	2	no	—
948	C₂×C₄²	—	5	1	no	—
949	C₂×C₄²	—	5	1	no	—
950	C₂×C₄²	—	5	8	no	—
951	C₂×C₄²	C₂²×D₅	1	2	yes	—
952	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
953	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
954	C₂×C₄²	C₂²×D₅	1	2	yes	—
955	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
956	C₂²×C₅	—	2	4	no	—
957	C₂²×C₅	—	2	4	no	—
958	C₂²×C₅	—	2	4	no	—
959	C₂²×C₅	—	4	8	no	—
960	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
961	C₂²×C₅	C₂×2₋¹⁺⁴	1	2	yes	—
962	C₂²×C₅	#585	1	2	yes	—
963	C₂²×C₅	C₂⁶	1	1	yes	characteristic
964	C₂×D₅	—	2	2	no	—
965	C₂×D₅	—	2	2	no	—
966	C₂×D₅	—	2	8	no	—
967	C₂×D₅	—	2	2	no	—
968	C₂×D₅	—	2	2	no	—
969	C₂×D₅	—	2	4	no	—
970	C₂×D₅	—	2	2	no	—
971	C₂×D₅	—	2	2	no	—
972	C₂×D₅	—	2	4	no	—
973	C₂×D₅	—	2	4	no	—
974	C₂×D₅	—	2	2	no	—
975	C₂×D₅	—	2	2	no	—
976	C₂×D₅	—	4	4	no	—
977	C₂×D₅	—	4	4	no	—
978	C₂×D₅	—	4	8	no	—
979	C₂×D₅	—	8	16	no	—
980	C₂×D₅	C₂×2₋¹⁺⁴	1	4	yes	—
981	C₄×C₅	—	2	4	no	—
982	C₄×C₅	—	2	4	no	—
983	C₄×C₅	—	2	2	no	—
984	C₄×C₅	—	2	2	no	—
985	C₄×C₅	—	2	2	no	—
986	C₄×C₅	—	2	4	no	—
987	C₄×C₅	—	2	2	no	—
988	C₄×C₅	—	2	2	no	—
989	C₄×C₅	—	2	2	no	—
990	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
991	Dic₅	—	2	4	no	—
992	Dic₅	—	2	4	no	—
993	Dic₅	—	2	2	no	—
994	Dic₅	—	2	2	no	—
995	Dic₅	—	2	2	no	—
996	Dic₅	—	2	2	no	—
997	Dic₅	—	2	2	no	—
998	Dic₅	—	2	4	no	—
999	C₂⁴	—	5	1	no	—
1000	C₂⁴	—	5	2	no	—
1001	C₂⁴	—	5	1	no	—
1002	C₂⁴	—	5	1	no	—
1003	C₂⁴	—	5	8	no	—
1004	C₂⁴	—	10	8	no	—
1005	C₂⁴	—	20	4	no	—
1006	C₂⁴	—	20	4	no	—
1007	C₂⁴	C₂³×D₅	1	2	yes	—
1008	#41	—	20	16	no	—
1009	#41	—	20	16	no	—
1010	C₂×Q₈	—	2	4	no	—
1011	C₂×Q₈	—	2	4	no	—
1012	C₂×Q₈	—	4	2	no	—
1013	C₂×Q₈	—	5	4	no	—
1014	C₂×Q₈	—	5	4	no	—
1015	C₂×Q₈	—	5	8	no	—
1016	C₂×Q₈	—	5	8	no	—
1017	C₂×Q₈	—	5	8	no	—
1018	C₂×Q₈	—	5	8	no	—
1019	C₂×Q₈	—	10	4	no	—
1020	C₂×Q₈	—	10	4	no	—
1021	C₂×Q₈	—	20	4	no	—
1022	C₂×Q₈	—	20	4	no	—
1023	C₂×Q₈	—	20	4	no	—
1024	C₂×Q₈	—	20	4	no	—
1025	C₂×Q₈	—	20	16	no	—
1026	C₂×Q₈	—	20	16	no	—
1027	C₂×Q₈	—	20	16	no	—
1028	C₂×Q₈	C₂³×D₅	1	4	yes	—
1029	C₂×Q₈	C₂³×D₅	1	4	yes	—
1030	C₂×Q₈	C₂³×D₅	1	4	yes	—
1031	C₂×D₄	—	2	4	no	—
1032	C₂×D₄	—	5	8	no	—
1033	C₂×D₄	—	5	8	no	—
1034	C₂×D₄	—	5	8	no	—
1035	C₂×D₄	—	5	4	no	—
1036	C₂×D₄	—	5	4	no	—
1037	C₂×D₄	—	5	4	no	—
1038	C₂×D₄	—	5	8	no	—
1039	C₂×D₄	—	5	4	no	—
1040	C₂×D₄	—	5	8	no	—
1041	C₂×D₄	—	10	4	no	—
1042	C₂×D₄	—	10	4	no	—
1043	C₂×D₄	—	10	4	no	—
1044	C₂×D₄	—	20	4	no	—
1045	C₂×D₄	—	20	4	no	—
1046	C₂×D₄	—	20	2	no	—
1047	C₂×D₄	—	20	16	no	—
1048	C₂×D₄	—	20	4	no	—
1049	C₂×D₄	—	20	4	no	—
1050	C₂×D₄	—	20	4	no	—
1051	C₂×D₄	C₂³×D₅	1	4	yes	—
1052	C₂²×C₄	—	4	4	no	—
1053	C₂²×C₄	—	5	1	no	—
1054	C₂²×C₄	—	5	1	no	—
1055	C₂²×C₄	—	5	2	no	—
1056	C₂²×C₄	—	5	1	no	—
1057	C₂²×C₄	—	5	2	no	—
1058	C₂²×C₄	—	5	2	no	—
1059	C₂²×C₄	—	5	1	no	—
1060	C₂²×C₄	—	5	1	no	—
1061	C₂²×C₄	—	5	8	no	—
1062	C₂²×C₄	—	5	4	no	—
1063	C₂²×C₄	—	5	4	no	—
1064	C₂²×C₄	—	5	4	no	—
1065	C₂²×C₄	—	5	4	no	—
1066	C₂²×C₄	—	5	4	no	—
1067	C₂²×C₄	—	5	8	no	—
1068	C₂²×C₄	—	5	8	no	—
1069	C₂²×C₄	—	5	8	no	—
1070	C₂²×C₄	—	5	8	no	—
1071	C₂²×C₄	—	5	8	no	—
1072	C₂²×C₄	—	10	4	no	—
1073	C₂²×C₄	—	10	4	no	—
1074	C₂²×C₄	—	10	4	no	—
1075	C₂²×C₄	—	10	4	no	—
1076	C₂²×C₄	—	20	4	no	—
1077	C₂²×C₄	—	20	4	no	—
1078	C₂²×C₄	—	20	4	no	—
1079	C₂²×C₄	—	20	4	no	—
1080	C₂²×C₄	—	20	4	no	—
1081	C₂²×C₄	—	20	2	no	—
1082	C₂²×C₄	—	20	4	no	—
1083	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₅	1	2	yes	—
1088	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₅	1	2	yes	—
1091	C₂²×C₄	C₂³×D₅	1	2	yes	—
1092	C₂²×C₄	C₂³×D₅	1	8	yes	—
1093	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1094	C₄⋊C₄	—	5	4	no	—
1095	C₄⋊C₄	—	5	4	no	—
1096	C₄⋊C₄	—	5	8	no	—
1097	C₄⋊C₄	—	5	8	no	—
1098	C₄⋊C₄	—	5	4	no	—
1099	C₄⋊C₄	—	5	4	no	—
1100	C₄⋊C₄	—	5	8	no	—
1101	C₄⋊C₄	—	5	4	no	—
1102	C₄⋊C₄	—	5	4	no	—
1103	C₄⋊C₄	—	5	8	no	—
1104	C₄⋊C₄	—	5	8	no	—
1105	C₄⋊C₄	—	5	8	no	—
1106	C₄⋊C₄	—	5	4	no	—
1107	C₄⋊C₄	—	5	4	no	—
1108	C₄⋊C₄	—	5	8	no	—
1109	C₄⋊C₄	—	5	8	no	—
1110	C₄⋊C₄	—	5	8	no	—
1111	C₄⋊C₄	—	5	8	no	—
1112	C₄⋊C₄	—	5	8	no	—
1113	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1114	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1115	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1116	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1117	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1118	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1119	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1120	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1121	C₂²⋊C₄	—	5	8	no	—
1122	C₂²⋊C₄	—	5	8	no	—
1123	C₂²⋊C₄	—	5	8	no	—
1124	C₂²⋊C₄	—	5	4	no	—
1125	C₂²⋊C₄	—	5	4	no	—
1126	C₂²⋊C₄	—	5	8	no	—
1127	C₂²⋊C₄	—	5	8	no	—
1128	C₂²⋊C₄	—	5	8	no	—
1129	C₂²⋊C₄	—	5	8	no	—
1130	C₂²⋊C₄	—	5	8	no	—
1131	C₂²⋊C₄	—	5	8	no	—
1132	C₂²⋊C₄	—	5	8	no	—
1133	C₂²⋊C₄	—	5	8	no	—
1134	C₂²⋊C₄	—	5	8	no	—
1135	C₂²⋊C₄	—	5	4	no	—
1136	C₂²⋊C₄	—	5	4	no	—
1137	C₂²⋊C₄	—	5	4	no	—
1138	C₂²⋊C₄	—	5	4	no	—
1139	C₂²⋊C₄	—	5	4	no	—
1140	C₂²⋊C₄	—	5	4	no	—
1141	C₂²⋊C₄	—	5	8	no	—
1142	C₂²⋊C₄	—	5	4	no	—
1143	C₂²⋊C₄	—	5	4	no	—
1144	C₂²⋊C₄	—	5	8	no	—
1145	C₂²⋊C₄	—	5	8	no	—
1146	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1147	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1148	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1149	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1150	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1151	C₄²	—	5	4	no	—
1152	C₄²	—	5	4	no	—
1153	C₄²	—	5	4	no	—
1154	C₄²	—	5	8	no	—
1155	C₄²	—	5	8	no	—
1156	C₄²	C₂³×D₅	1	4	yes	—
1157	C₄²	C₂³×D₅	1	8	yes	—
1158	C₄²	C₂³×D₅	1	4	yes	—
1159	C₄²	C₂³×D₅	1	4	yes	—
1160	C₄²	C₂³×D₅	1	8	yes	—
1161	C₂×C₅	—	4	4	no	—
1162	C₂×C₅	#3561	1	4	yes	complemented
1163	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1164	C₂×C₅	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1165	C₂×C₅	C₂×#585	1	1	yes	characteristic
1166	D₅	—	2	4	no	—
1167	D₅	—	4	2	no	—
1168	D₅	—	4	2	no	—
1169	D₅	—	4	4	no	—
1170	C₂³	—	2	4	no	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	5	4	no	—
1174	C₂³	—	5	2	no	—
1175	C₂³	—	5	4	no	—
1176	C₂³	—	5	2	no	—
1177	C₂³	—	5	2	no	—
1178	C₂³	—	10	16	no	—
1179	C₂³	—	10	2	no	—
1180	C₂³	—	10	2	no	—
1181	C₂³	—	10	2	no	—
1182	C₂³	—	10	2	no	—
1183	C₂³	—	10	4	no	—
1184	C₂³	—	10	4	no	—
1185	C₂³	—	10	2	no	—
1186	C₂³	—	10	2	no	—
1187	C₂³	—	10	2	no	—
1188	C₂³	—	10	2	no	—
1189	C₂³	—	10	4	no	—
1190	C₂³	—	20	8	no	—
1191	C₂³	—	20	8	no	—
1192	C₂³	—	40	16	no	—
1193	C₂³	C₂⁴×D₅	1	4	yes	—
1194	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1195	Q₈	—	2	8	no	—
1196	Q₈	—	2	8	no	—
1197	Q₈	—	4	4	no	—
1198	Q₈	—	10	8	no	—
1199	Q₈	—	10	8	no	—
1200	Q₈	—	20	8	no	—
1201	Q₈	—	20	8	no	—
1202	Q₈	—	20	8	no	—
1203	Q₈	—	20	8	no	—
1204	D₄	—	2	8	no	—
1205	D₄	—	10	8	no	—
1206	D₄	—	10	8	no	—
1207	D₄	—	10	8	no	—
1208	D₄	—	20	8	no	—
1209	D₄	—	20	8	no	—
1210	D₄	—	20	4	no	—
1211	D₄	—	20	8	no	—
1212	D₄	—	20	8	no	—
1213	D₄	—	20	8	no	—
1214	C₂×C₄	—	2	4	no	—
1215	C₂×C₄	—	2	4	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	4	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	4	8	no	—
1224	C₂×C₄	—	5	2	no	—
1225	C₂×C₄	—	5	2	no	—
1226	C₂×C₄	—	5	4	no	—
1227	C₂×C₄	—	5	2	no	—
1228	C₂×C₄	—	5	4	no	—
1229	C₂×C₄	—	5	4	no	—
1230	C₂×C₄	—	5	2	no	—
1231	C₂×C₄	—	5	2	no	—
1232	C₂×C₄	—	10	8	no	—
1233	C₂×C₄	—	10	2	no	—
1234	C₂×C₄	—	10	2	no	—
1235	C₂×C₄	—	10	2	no	—
1236	C₂×C₄	—	10	4	no	—
1237	C₂×C₄	—	10	4	no	—
1238	C₂×C₄	—	10	4	no	—
1239	C₂×C₄	—	10	2	no	—
1240	C₂×C₄	—	10	2	no	—
1241	C₂×C₄	—	10	8	no	—
1242	C₂×C₄	—	10	8	no	—
1243	C₂×C₄	—	10	8	no	—
1244	C₂×C₄	—	20	8	no	—
1245	C₂×C₄	—	20	8	no	—
1246	C₂×C₄	—	20	8	no	—
1247	C₂×C₄	—	20	8	no	—
1248	C₂×C₄	—	20	8	no	—
1249	C₂×C₄	—	20	4	no	—
1250	C₂×C₄	—	20	8	no	—
1251	C₂×C₄	#4149	1	4	yes	—
1252	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1253	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1254	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1255	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1257	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1258	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1259	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1260	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1261	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1262	C₅	C₂×#3561	1	1	yes	characteristic, complemented, Sylow
1263	C₂²	—	2	4	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	4	8	no	—
1267	C₂²	—	5	4	no	—
1268	C₂²	—	10	8	no	—
1269	C₂²	—	10	2	no	—
1270	C₂²	—	10	2	no	—
1271	C₂²	—	10	2	no	—
1272	C₂²	—	10	2	no	—
1273	C₂²	—	10	4	no	—
1274	C₂²	—	10	4	no	—
1275	C₂²	—	10	2	no	—
1276	C₂²	—	10	2	no	—
1277	C₂²	—	10	2	no	—
1278	C₂²	—	10	2	no	—
1279	C₂²	—	10	4	no	—
1280	C₂²	—	20	8	no	—
1281	C₂²	—	20	4	no	—
1282	C₂²	—	20	4	no	—
1283	C₂²	—	40	16	no	—
1284	C₂²	C₂×#4149	1	2	yes	—
1285	C₂²	#66283	1	2	yes	—
1286	C₂²	D₅×2₋¹⁺⁴	1	2	yes	—
1287	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1288	C₄	—	2	4	no	—
1289	C₄	—	2	4	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	4	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	10	2	no	—
1298	C₄	—	10	2	no	—
1299	C₄	—	10	2	no	—
1300	C₄	—	10	4	no	—
1301	C₄	—	10	4	no	—
1302	C₄	—	10	4	no	—
1303	C₄	—	10	2	no	—
1304	C₄	—	10	2	no	—
1305	C₄	C₂×#4149	1	4	yes	—
1306	C₂	—	4	4	no	—
1307	C₂	—	10	4	no	—
1308	C₂	—	20	4	no	—
1309	C₂	—	20	2	no	—
1310	C₂	—	20	2	no	—
1311	C₂	#10618899	1	4	yes	direct product factor
1312	C₂	C₂²×#4149	1	1	yes	characteristic
1313	C₂	C₂×#66283	1	1	yes	characteristic
1314	C₂	C₂×D₅×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#556	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#556	D₅
hypocenter	C₅	C₂×#3561
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#556

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#556	C₂	semidirect
2. #10618899	C₂	direct (N × H)
3. C₂×#66061	C₂	semidirect
4. C₂×#66058	C₂	semidirect
5. C₂×#66039	C₂	semidirect
6. C₂×#66038	C₂	semidirect
7. C₂×#66046	C₂	semidirect
8. C₂×#66044	C₂	semidirect
9. C₂×#66011	C₂	semidirect
10. C₂×#66010	C₂	semidirect
11. C₂×#66009	C₂	semidirect
12. C₂×D₅×#124	C₂	semidirect
13. C₂×#65981	C₂	semidirect
14. C₂×#65968	C₂	semidirect
15. C₂×Q₈×D₂₀	C₂	semidirect
16. C₂×#65910	C₂	semidirect
17. C₂×#65916	C₂	semidirect
18. C₂×#65912	C₂	semidirect
19. C₂×#65914	C₂	semidirect
20. C₂×#65918	C₂	semidirect
21. C₂×#65888	C₂	semidirect
22. C₂×#65895	C₂	semidirect
23. C₂×#65861	C₂	semidirect
24. C₂×#65868	C₂	semidirect
27. C₂²×Q₈×D₅	C₂²	semidirect
28. C₂²×Q₈×D₅	C₂²	semidirect
31. C₅×#556	C₂²	semidirect
32. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
33. C₂×C₅×#126	C₂²	semidirect
34. C₂×C₅×#126	C₂²	semidirect
37. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₄×C₅×Q₈	C₂²	semidirect
39. C₂×C₄×C₅×Q₈	C₂²	semidirect
40. C₂×C₄×C₅×Q₈	C₂²	semidirect
42. C₂×C₅×#117	C₂²	semidirect
44. C₂×#4093	C₂²	semidirect
47. C₂×#4092	C₂²	semidirect
48. C₂×#4092	C₂²	semidirect
49. C₂×#4090	C₂²	semidirect
53. C₂×#4075	C₂²	semidirect
55. C₂×#4070	C₂²	semidirect
56. #66061	C₂²	semidirect
57. #66058	C₂²	semidirect
58. #66046	C₂²	semidirect
59. #66044	C₂²	semidirect
60. #66039	C₂²	semidirect
61. #66038	C₂²	semidirect
62. #66011	C₂²	semidirect
63. #66010	C₂²	semidirect
64. #66009	C₂²	semidirect
65. D₅×#124	C₂²	semidirect
66. #65981	C₂²	semidirect
67. #65968	C₂²	semidirect
68. #65918	C₂²	semidirect
69. #65916	C₂²	semidirect
70. #65914	C₂²	semidirect
71. #65912	C₂²	semidirect
72. #65910	C₂²	semidirect
73. Q₈×D₂₀	C₂²	semidirect
74. #65895	C₂²	semidirect
75. #65888	C₂²	semidirect
76. #65868	C₂²	semidirect
77. #65861	C₂²	semidirect
78. C₂×#4044	C₂²	semidirect
79. C₂×#4044	C₂²	semidirect
80. C₂×#4044	C₂²	semidirect
81. C₂×#4044	C₂²	semidirect
84. C₂×#4043	C₂²	semidirect
85. C₂×#4043	C₂²	semidirect
86. C₂×#4043	C₂²	semidirect
89. C₂×#4042	C₂²	semidirect
90. C₂×#4042	C₂²	semidirect
91. C₂×#4042	C₂²	semidirect
92. C₂×#4042	C₂²	semidirect
95. C₂×#4041	C₂²	semidirect
98. C₂×#4040	C₂²	semidirect
99. C₂×#4040	C₂²	semidirect
100. C₂×#4040	C₂²	semidirect
102. C₂×#4038	C₂²	semidirect
103. C₂×#4036	C₂²	semidirect
104. C₂×#4035	C₂²	semidirect
105. C₂×#4034	C₂²	semidirect
106. C₂×#4034	C₂²	semidirect
110. C₂×#4031	C₂²	semidirect
111. C₂×#4031	C₂²	semidirect
113. C₂×#4030	C₂²	semidirect
115. C₂×#4029	C₂²	semidirect
116. C₂×#4029	C₂²	semidirect
119. C₂×#4027	C₂²	semidirect
123. C₂×#4025	C₂²	semidirect
124. C₂×#4024	C₂²	semidirect
125. C₂×#4024	C₂²	semidirect
126. C₂×#4024	C₂²	semidirect
127. C₂×#4022	C₂²	semidirect
130. C₂×#4021	C₂²	semidirect
131. C₂×#4021	C₂²	semidirect
136. C₂×C₄×D₂₀	C₂²	semidirect
137. C₂×C₄×D₂₀	C₂²	semidirect
139. C₂×#4018	C₂²	semidirect
140. C₂×#4018	C₂²	semidirect
142. C₂×#4015	C₂²	semidirect
143. C₂×#4015	C₂²	semidirect
144. C₂×C₄×Dic₁₀	C₂²	semidirect
145. C₂×C₄×Dic₁₀	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
164. C₂×Q₈×D₅	C₂³	semidirect
165. C₂×Q₈×D₅	C₂³	semidirect
192. C₅×C₄⋊Q₈	C₂³	semidirect
193. C₅×#126	C₂³	semidirect
194. C₅×#126	C₂³	semidirect
197. C₅×C₂²⋊Q₈	C₂³	semidirect
198. C₄×C₅×Q₈	C₂³	semidirect
199. C₄×C₅×Q₈	C₂³	semidirect
200. C₄×C₅×Q₈	C₂³	semidirect
202. C₅×#117	C₂³	semidirect
225. #4093	C₂³	semidirect
228. #4092	C₂³	semidirect
229. #4092	C₂³	semidirect
230. #4090	C₂³	semidirect
234. #4075	C₂³	semidirect
266. #4070	C₂³	semidirect
283. #4044	C₂³	semidirect
284. #4044	C₂³	semidirect
285. #4044	C₂³	semidirect
286. #4044	C₂³	semidirect
289. #4043	C₂³	semidirect
290. #4043	C₂³	semidirect
291. #4043	C₂³	semidirect
294. #4042	C₂³	semidirect
295. #4042	C₂³	semidirect
296. #4042	C₂³	semidirect
297. #4042	C₂³	semidirect
300. #4041	C₂³	semidirect
303. #4040	C₂³	semidirect
304. #4040	C₂³	semidirect
305. #4040	C₂³	semidirect
307. #4038	C₂³	semidirect
308. #4036	C₂³	semidirect
309. #4035	C₂³	semidirect
310. #4034	C₂³	semidirect
311. #4034	C₂³	semidirect
315. #4031	C₂³	semidirect
316. #4031	C₂³	semidirect
318. #4030	C₂³	semidirect
320. #4029	C₂³	semidirect
321. #4029	C₂³	semidirect
324. #4027	C₂³	semidirect
328. #4025	C₂³	semidirect
329. #4024	C₂³	semidirect
330. #4024	C₂³	semidirect
331. #4024	C₂³	semidirect
332. #4022	C₂³	semidirect
335. #4021	C₂³	semidirect
336. #4021	C₂³	semidirect
341. C₄×D₂₀	C₂³	semidirect
342. C₄×D₂₀	C₂³	semidirect
344. #4018	C₂³	semidirect
345. #4018	C₂³	semidirect
347. #4015	C₂³	semidirect
348. #4015	C₂³	semidirect
349. C₄×Dic₁₀	C₂³	semidirect
350. C₄×Dic₁₀	C₂³	semidirect
351. C₄×Dic₁₀	C₂³	semidirect
356. C₂×#556	D₅	semidirect
547. #556	C₂×D₅	semidirect
570. C₂×C₄⋊Q₈	C₂×D₅	semidirect
578. C₂×#126	C₂×D₅	semidirect
579. C₂×#126	C₂×D₅	semidirect
625. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
638. C₂×C₄×Q₈	C₂×D₅	semidirect
639. C₂×C₄×Q₈	C₂×D₅	semidirect
640. C₂×C₄×Q₈	C₂×D₅	semidirect
654. C₂×#117	C₂×D₅	semidirect
801. C₄⋊Q₈	C₂²×D₅	semidirect
808. #126	C₂²×D₅	semidirect
809. #126	C₂²×D₅	semidirect
854. C₂²⋊Q₈	C₂²×D₅	semidirect
867. C₄×Q₈	C₂²×D₅	semidirect
868. C₄×Q₈	C₂²×D₅	semidirect
869. C₄×Q₈	C₂²×D₅	semidirect
883. #117	C₂²×D₅	semidirect
1162. C₂×C₅	#3561	semidirect
1262. C₅	C₂×#3561	semidirect
1311. C₂	#10618899	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₅×#556	2
#10618899	2
C₂×#66061	2
C₂×#66058	2
C₂×#66039	2
C₂×#66038	2
C₂×#66046	2
C₂×#66044	2
C₂×#66011	2
C₂×#66010	2
C₂×#66009	2
C₂×D₅×#124	2
C₂×#65981	2
C₂×#65968	2
C₂×Q₈×D₂₀	2
C₂×#65910	2
C₂×#65916	2
C₂×#65912	2
C₂×#65914	2
C₂×#65918	2
C₂×#65888	2
C₂×#65895	2
C₂×#65861	2
C₂×#65868	2
C₂×#3561	5

Subgroups — C2×#10618899 #13006650

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618899 #13006650