Subgroups — C₂×#10618238 #13006623

Order 1280.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#535	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×D₄×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66140	C₂	1	1	yes	maximal, characteristic, complemented
6	#10618238	C₂	1	32	yes	maximal, direct product factor
7	C₂×#66051	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66049	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66047	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66050	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#66011	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#66016	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#66015	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65955	C₂	1	2	yes	maximal, complemented
16	C₂×#65944	C₂	1	2	yes	maximal, complemented
17	C₂×#65947	C₂	1	2	yes	maximal, complemented
18	C₂×#65951	C₂	1	2	yes	maximal, complemented
19	C₂×#65925	C₂	1	2	yes	maximal, complemented
20	C₂×#65923	C₂	1	2	yes	maximal, complemented
21	C₂×#65928	C₂	1	2	yes	maximal, complemented
22	C₂×#65927	C₂	1	2	yes	maximal, complemented
23	C₂×#65868	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65862	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
27	C₂³×C₂²⋊D₅	C₂²	1	2	yes	complemented
28	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#711	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#711	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
32	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
34	C₅×#535	C₂²	1	16	yes	complemented
35	C₂×C₅×#127	C₂²	1	1	yes	characteristic
36	C₂×C₅×#127	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₅×#121	C₂²	1	2	yes	complemented
40	C₂×C₅×#121	C₂²	1	2	yes	complemented
41	C₂×C₅×#120	C₂²	1	2	yes	complemented
42	C₂×C₅×#120	C₂²	1	2	yes	complemented
43	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4099	C₂²	1	2	yes	complemented
45	C₂×#4099	C₂²	1	2	yes	complemented
46	C₂²×C₂²⋊Dic₅	C₂²	1	2	yes	complemented
47	#66165	C₂²	1	16	yes	complemented
48	#66163	C₂²	1	16	yes	complemented
49	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
50	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
51	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
52	#66140	C₂²	1	16	yes	complemented
53	C₂×#4086	C₂²	1	1	yes	characteristic
54	C₂×#4085	C₂²	1	2	yes	complemented
55	C₂×#4085	C₂²	1	2	yes	complemented
56	C₂×#4085	C₂²	1	2	yes	complemented
57	C₂×#4085	C₂²	1	2	yes	complemented
58	C₂×#4085	C₂²	1	2	yes	complemented
59	D₄×C₂²⋊D₅	C₂²	1	16	yes	complemented
60	C₂×#4084	C₂²	1	1	yes	characteristic
61	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
62	C₂×#4084	C₂²	1	2	yes	complemented
63	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
64	C₂×#4084	C₂²	1	2	yes	complemented
65	C₂×#4084	C₂²	1	2	yes	complemented
66	C₂×#4083	C₂²	1	2	yes	complemented
67	C₂×#4083	C₂²	1	2	yes	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×#4082	C₂²	1	1	yes	characteristic, complemented
74	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
75	C₂×#4082	C₂²	1	2	yes	complemented
76	C₂×#4082	C₂²	1	2	yes	complemented
77	C₂×#4081	C₂²	1	2	yes	complemented
78	C₂×#4081	C₂²	1	2	yes	complemented
79	C₂×#4081	C₂²	1	2	yes	complemented
80	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
81	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
82	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
83	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
84	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
85	C₂×#4076	C₂²	1	1	yes	characteristic
86	C₂×#4075	C₂²	1	2	yes	complemented
87	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, 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×#4070	C₂²	1	1	yes	characteristic, complemented
92	C₂×#4070	C₂²	1	2	yes	complemented
93	#66051	C₂²	1	16	yes	complemented
94	#66050	C₂²	1	16	yes	complemented
95	#66049	C₂²	1	16	yes	complemented
96	#66047	C₂²	1	16	yes	complemented
97	#66016	C₂²	1	16	yes	complemented
98	#66015	C₂²	1	16	yes	complemented
99	#66011	C₂²	1	16	yes	complemented
100	D₅×#124	C₂²	1	16	yes	complemented
101	#65955	C₂²	1	32	yes	complemented
102	#65951	C₂²	1	32	yes	complemented
103	#65947	C₂²	1	32	yes	complemented
104	#65944	C₂²	1	32	yes	complemented
105	#65928	C₂²	1	32	yes	complemented
106	#65927	C₂²	1	32	yes	complemented
107	#65925	C₂²	1	32	yes	complemented
108	#65923	C₂²	1	32	yes	complemented
109	#65868	C₂²	1	16	yes	complemented
110	#65862	C₂²	1	16	yes	complemented
111	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
112	C₂×#4044	C₂²	1	2	yes	complemented
113	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
114	C₂×#4042	C₂²	1	2	yes	complemented
115	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
116	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4032	C₂²	1	2	yes	complemented
118	C₂×#4032	C₂²	1	2	yes	complemented
119	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
120	C₂×#4031	C₂²	1	2	yes	complemented
121	C₂×#4031	C₂²	1	2	yes	complemented
122	C₂×#4031	C₂²	1	2	yes	complemented
123	C₂×#4031	C₂²	1	2	yes	complemented
124	C₂×#4031	C₂²	1	2	yes	complemented
125	C₂×#4031	C₂²	1	2	yes	complemented
126	C₂×#4030	C₂²	1	1	yes	characteristic
127	C₂×#4030	C₂²	1	2	yes	complemented
128	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
129	C₂×#4029	C₂²	1	2	yes	complemented
130	C₂×#4029	C₂²	1	2	yes	complemented
131	C₂×#4027	C₂²	1	2	yes	complemented
132	C₂×#4027	C₂²	1	2	yes	complemented
133	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
134	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
135	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
136	C₂×#4025	C₂²	1	2	yes	complemented
137	C₂×#4024	C₂²	1	2	yes	complemented
138	C₂×#4024	C₂²	1	2	yes	complemented
139	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
140	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
142	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
144	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3558	—	5	1	no	maximal, Sylow
148	C₂⁵×C₅	C₂³	1	2	yes	—
149	C₂⁴×D₅	C₂³	1	2	yes	—
150	C₂⁴×D₅	C₂³	1	2	yes	—
151	C₂×C₅×#41	—	4	4	no	—
152	C₂×C₅×#41	C₂³	1	8	yes	complemented
153	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
154	C₂²×C₅×D₄	—	4	4	no	—
155	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
156	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
157	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₂²×C₅×D₄	C₂³	1	2	yes	—
159	C₂²×C₅×D₄	C₂³	1	2	yes	—
160	C₂²×C₅×D₄	C₂³	1	2	yes	—
161	C₂²×C₅×D₄	C₂³	1	2	yes	—
162	C₂²×C₅×D₄	C₂³	1	2	yes	—
163	C₂²×C₅×D₄	C₂³	1	2	yes	—
164	C₂²×C₅×D₄	C₂³	1	8	yes	complemented
165	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₅	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₅	—	4	8	no	—
168	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
170	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
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	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	16	yes	complemented
180	C₂³×Dic₅	C₂³	1	2	yes	—
181	C₂³×Dic₅	C₂³	1	2	yes	—
182	C₂³×Dic₅	C₂³	1	2	yes	—
183	C₂³×Dic₅	C₂³	1	2	yes	—
184	C₂×Q₈×D₅	—	4	4	no	—
185	C₂×Q₈×D₅	C₂³	1	8	yes	complemented
186	C₂×#711	—	4	4	no	—
187	C₂×#711	—	4	8	no	—
188	C₂×#711	C₂³	1	8	yes	complemented
189	C₂×#711	C₂³	1	16	yes	complemented
190	C₂×D₄×D₅	—	4	4	no	—
191	C₂×D₄×D₅	—	4	4	no	—
192	C₂×D₄×D₅	—	4	8	no	—
193	C₂×D₄×D₅	C₂³	1	8	yes	—
194	C₂×D₄×D₅	C₂³	1	8	yes	complemented
195	C₂×D₄×D₅	C₂³	1	16	yes	complemented
196	C₂²×D₂₀	C₂³	1	1	yes	characteristic
197	C₂²×D₂₀	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₅	C₂³	1	2	yes	—
203	C₂²×C₄×D₅	C₂³	1	2	yes	—
204	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
206	C₂²×Dic₁₀	C₂³	1	2	yes	—
207	C₂²×Dic₁₀	C₂³	1	2	yes	—
208	C₅×#127	C₂³	1	8	yes	—
209	C₅×#127	C₂³	1	8	yes	complemented
210	C₅×#124	C₂³	1	8	yes	complemented
211	C₅×#124	C₂³	1	8	yes	complemented
212	C₅×#121	C₂³	1	16	yes	complemented
213	C₅×#121	C₂³	1	16	yes	complemented
214	C₅×#120	C₂³	1	16	yes	complemented
215	C₅×#120	C₂³	1	16	yes	complemented
216	C₅×#117	C₂³	1	8	yes	complemented
217	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
227	#4099	C₂³	1	16	yes	complemented
228	#4099	C₂³	1	16	yes	complemented
229	C₂×C₂²⋊Dic₅	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	1	yes	characteristic
233	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
234	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
235	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
236	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
237	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
240	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
241	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
242	C₂×C₂²⋊Dic₅	C₂³	1	16	yes	complemented
243	#4093	C₂³	1	8	yes	complemented
244	#4092	C₂³	1	8	yes	complemented
245	Q₈×Dic₅	C₂³	1	8	yes	complemented
246	#4086	C₂³	1	8	yes	—
247	#4085	C₂³	1	16	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	#4084	C₂³	1	16	yes	complemented
258	#4083	C₂³	1	16	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	#4083	C₂³	1	16	yes	complemented
264	#4082	C₂³	1	8	yes	complemented
265	#4082	C₂³	1	16	yes	complemented
266	#4082	C₂³	1	8	yes	complemented
267	#4082	C₂³	1	16	yes	complemented
268	#4082	C₂³	1	16	yes	complemented
269	#4081	C₂³	1	16	yes	complemented
270	#4081	C₂³	1	16	yes	complemented
271	#4081	C₂³	1	16	yes	complemented
272	D₄×Dic₅	C₂³	1	8	yes	complemented
273	D₄×Dic₅	C₂³	1	8	yes	complemented
274	D₄×Dic₅	C₂³	1	16	yes	complemented
275	D₄×Dic₅	C₂³	1	8	yes	complemented
276	D₄×Dic₅	C₂³	1	16	yes	complemented
277	#4076	C₂³	1	8	yes	—
278	#4075	C₂³	1	16	yes	complemented
279	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
280	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
281	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
282	C₂×#685	C₂³	1	1	yes	characteristic
283	C₂×#685	C₂³	1	1	yes	characteristic
284	C₂×#685	C₂³	1	1	yes	characteristic
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	2	yes	—
295	C₂×#685	C₂³	1	16	yes	complemented
296	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
300	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
302	#4070	C₂³	1	8	yes	complemented
303	#4070	C₂³	1	16	yes	complemented
304	C₂×#683	C₂³	1	2	yes	—
305	C₂×#683	C₂³	1	1	yes	characteristic
306	C₂×#683	C₂³	1	1	yes	characteristic
307	C₂×#683	C₂³	1	1	yes	characteristic
308	C₂×#683	C₂³	1	1	yes	characteristic
309	C₂×#683	C₂³	1	2	yes	—
310	C₂×#683	C₂³	1	1	yes	characteristic
311	C₂×#683	C₂³	1	1	yes	characteristic
312	C₂×#683	C₂³	1	2	yes	—
313	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₅	C₂³	1	2	yes	—
316	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₅	C₂³	1	2	yes	—
319	#4044	C₂³	1	8	yes	complemented
320	#4044	C₂³	1	16	yes	complemented
321	#4042	C₂³	1	8	yes	complemented
322	#4042	C₂³	1	16	yes	complemented
323	#4040	C₂³	1	8	yes	complemented
324	#4035	C₂³	1	8	yes	complemented
325	#4032	C₂³	1	16	yes	complemented
326	#4032	C₂³	1	16	yes	complemented
327	#4031	C₂³	1	8	yes	complemented
328	#4031	C₂³	1	16	yes	complemented
329	#4031	C₂³	1	16	yes	complemented
330	#4031	C₂³	1	16	yes	complemented
331	#4031	C₂³	1	16	yes	complemented
332	#4031	C₂³	1	16	yes	complemented
333	#4031	C₂³	1	16	yes	complemented
334	#4030	C₂³	1	8	yes	—
335	#4030	C₂³	1	16	yes	complemented
336	#4029	C₂³	1	8	yes	complemented
337	#4029	C₂³	1	16	yes	complemented
338	#4029	C₂³	1	16	yes	complemented
339	#4027	C₂³	1	16	yes	complemented
340	#4027	C₂³	1	16	yes	complemented
341	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
342	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
343	#4025	C₂³	1	8	yes	complemented
344	#4025	C₂³	1	16	yes	complemented
345	#4024	C₂³	1	16	yes	complemented
346	#4024	C₂³	1	16	yes	complemented
347	#4021	C₂³	1	8	yes	complemented
348	C₄×D₂₀	C₂³	1	8	yes	complemented
349	C₄×D₂₀	C₂³	1	8	yes	complemented
350	#4018	C₂³	1	8	yes	complemented
351	C₄²×D₅	C₂³	1	8	yes	complemented
352	#4015	C₂³	1	8	yes	complemented
353	C₄×Dic₁₀	C₂³	1	8	yes	complemented
354	C₄×Dic₁₀	C₂³	1	8	yes	complemented
355	#3558	—	5	32	no	—
356	C₂×#562	—	5	2	no	—
357	C₂×H(3,𝔽₄)	—	5	2	no	—
358	C₂×#559	—	5	1	no	—
359	C₂×#559	—	5	1	no	—
360	C₂×#548	—	5	1	no	—
361	C₂×#548	—	5	1	no	—
362	C₂×#546	—	5	1	no	—
363	C₂×#546	—	5	1	no	—
364	C₂×#546	—	5	2	no	—
365	C₂×#546	—	5	2	no	—
366	C₂×D₄²	—	5	1	no	—
367	C₂×D₄²	—	5	1	no	—
368	C₂×#542	—	5	1	no	—
369	C₂×#542	—	5	1	no	—
370	C₂×#538	—	5	2	no	—
371	C₂×#538	—	5	2	no	—
372	C₂×#538	—	5	2	no	—
373	C₂×#535	—	5	1	no	—
374	C₂×#535	D₅	1	1	yes	characteristic, complemented
375	C₂×#534	—	5	2	no	—
376	C₂×#532	—	5	1	no	—
377	C₂×#529	—	5	1	no	—
378	C₂²×#124	—	5	1	no	—
379	C₂⁴×C₅	—	4	4	no	—
380	C₂⁴×C₅	—	4	4	no	—
381	C₂⁴×C₅	—	4	4	no	—
382	C₂⁴×C₅	C₂⁴	1	2	yes	—
383	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₅	C₂⁴	1	2	yes	—
385	C₂⁴×C₅	C₂⁴	1	2	yes	—
386	C₂⁴×C₅	C₂⁴	1	8	yes	—
387	C₂³×D₅	—	2	8	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	—	4	4	no	—
393	C₂³×D₅	C₂⁴	1	1	yes	characteristic
394	C₂³×D₅	C₂⁴	1	2	yes	—
395	C₂³×D₅	C₂⁴	1	1	yes	characteristic
396	C₂³×D₅	C₂⁴	1	8	yes	—
397	C₂³×D₅	C₂⁴	1	8	yes	—
398	C₅×#41	—	4	16	no	—
399	C₂×C₅×Q₈	—	2	4	no	—
400	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
401	C₂×C₅×D₄	—	2	4	no	—
402	C₂×C₅×D₄	—	2	4	no	—
403	C₂×C₅×D₄	—	2	4	no	—
404	C₂×C₅×D₄	—	4	16	no	—
405	C₂×C₅×D₄	—	4	4	no	—
406	C₂×C₅×D₄	—	4	4	no	—
407	C₂×C₅×D₄	—	4	4	no	—
408	C₂×C₅×D₄	—	4	4	no	—
409	C₂×C₅×D₄	—	4	4	no	—
410	C₂×C₅×D₄	—	4	4	no	—
411	C₂×C₅×D₄	C₂⁴	1	4	yes	—
412	C₂×C₅×D₄	C₂⁴	1	4	yes	—
413	C₂×C₅×D₄	C₂⁴	1	4	yes	—
414	C₂×C₅×D₄	C₂⁴	1	8	yes	—
415	C₂×C₅×D₄	C₂⁴	1	8	yes	—
416	C₂×C₅×D₄	C₂⁴	1	8	yes	—
417	C₂×C₅×D₄	C₂⁴	1	8	yes	—
418	C₂×C₅×D₄	C₂⁴	1	8	yes	—
419	C₂×C₅×D₄	C₂⁴	1	8	yes	—
420	C₂²×C₄×C₅	—	2	4	no	—
421	C₂²×C₄×C₅	—	4	4	no	—
422	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
427	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
429	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
430	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
431	C₂×C₂²⋊D₅	—	2	8	no	—
432	C₂×C₂²⋊D₅	—	2	8	no	—
433	C₂×C₂²⋊D₅	—	2	4	no	—
434	C₂×C₂²⋊D₅	—	4	4	no	—
435	C₂×C₂²⋊D₅	—	4	4	no	—
436	C₂×C₂²⋊D₅	—	4	4	no	—
437	C₂×C₂²⋊D₅	—	4	4	no	—
438	C₂×C₂²⋊D₅	—	4	4	no	—
439	C₂×C₂²⋊D₅	—	4	4	no	—
440	C₂×C₂²⋊D₅	—	4	2	no	—
441	C₂×C₂²⋊D₅	—	4	4	no	—
442	C₂×C₂²⋊D₅	—	4	32	no	—
443	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
444	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
445	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
446	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
447	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
448	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
449	C₂×C₂²⋊D₅	C₂⁴	1	8	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	C₂²×Dic₅	—	4	4	no	—
455	C₂²×Dic₅	—	4	4	no	—
456	C₂²×Dic₅	—	4	4	no	—
457	C₂²×Dic₅	—	4	4	no	—
458	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₅	C₂⁴	1	2	yes	—
460	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₅	C₂⁴	1	2	yes	—
463	C₂²×Dic₅	C₂⁴	1	2	yes	—
464	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₅	C₂⁴	1	8	yes	—
468	C₂²×Dic₅	C₂⁴	1	8	yes	—
469	C₂²×Dic₅	C₂⁴	1	8	yes	—
470	C₂²×Dic₅	C₂⁴	1	8	yes	—
471	Q₈×D₅	—	4	16	no	—
472	#711	—	4	16	no	—
473	#711	—	4	32	no	—
474	D₄×D₅	—	4	16	no	—
475	D₄×D₅	—	4	16	no	—
476	D₄×D₅	—	4	32	no	—
477	C₂×D₂₀	—	2	4	no	—
478	C₂×D₂₀	—	2	4	no	—
479	C₂×D₂₀	C₂⁴	1	4	yes	—
480	C₂×D₂₀	C₂⁴	1	4	yes	—
481	C₂×C₄×D₅	—	2	4	no	—
482	C₂×C₄×D₅	—	2	4	no	—
483	C₂×C₄×D₅	—	2	4	no	—
484	C₂×C₄×D₅	—	4	2	no	—
485	C₂×C₄×D₅	—	4	4	no	—
486	C₂×C₄×D₅	—	4	4	no	—
487	C₂×C₄×D₅	C₂⁴	1	4	yes	—
488	C₂×C₄×D₅	C₂⁴	1	4	yes	—
489	C₂×C₄×D₅	C₂⁴	1	4	yes	—
490	C₂×C₄×D₅	C₂⁴	1	8	yes	—
491	C₂×C₄×D₅	C₂⁴	1	8	yes	—
492	C₂×C₄×D₅	C₂⁴	1	4	yes	—
493	C₂×Dic₁₀	—	2	4	no	—
494	C₂×Dic₁₀	—	4	2	no	—
495	C₂×Dic₁₀	—	4	4	no	—
496	C₂×Dic₁₀	—	4	4	no	—
497	C₂×Dic₁₀	C₂⁴	1	4	yes	—
498	C₂×Dic₁₀	C₂⁴	1	8	yes	—
499	C₂×Dic₁₀	C₂⁴	1	8	yes	—
500	C₂×Dic₁₀	C₂⁴	1	4	yes	—
501	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
502	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
503	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
504	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
505	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
506	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
507	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
508	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₄²×C₅	C₂⁴	1	4	yes	—
510	C₄²×C₅	C₂⁴	1	4	yes	—
511	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
512	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
513	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
514	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
515	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
516	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
517	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
518	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
519	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
520	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
521	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
522	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
523	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
524	#685	C₂⁴	1	4	yes	—
525	#685	C₂⁴	1	4	yes	—
526	#685	C₂⁴	1	4	yes	—
527	#685	C₂⁴	1	4	yes	—
528	#685	C₂⁴	1	8	yes	—
529	#685	C₂⁴	1	8	yes	—
530	#685	C₂⁴	1	8	yes	—
531	#685	C₂⁴	1	8	yes	—
532	#685	C₂⁴	1	8	yes	—
533	#685	C₂⁴	1	8	yes	—
534	#685	C₂⁴	1	4	yes	—
535	#685	C₂⁴	1	4	yes	—
536	#685	C₂⁴	1	8	yes	—
537	C₄⋊Dic₅	C₂⁴	1	4	yes	—
538	C₄⋊Dic₅	C₂⁴	1	4	yes	—
539	C₄⋊Dic₅	C₂⁴	1	4	yes	—
540	C₄⋊Dic₅	C₂⁴	1	8	yes	—
541	C₄⋊Dic₅	C₂⁴	1	4	yes	—
542	C₄⋊Dic₅	C₂⁴	1	8	yes	—
543	#683	C₂⁴	1	8	yes	—
544	#683	C₂⁴	1	4	yes	—
545	#683	C₂⁴	1	4	yes	—
546	#683	C₂⁴	1	4	yes	—
547	#683	C₂⁴	1	4	yes	—
548	#683	C₂⁴	1	8	yes	—
549	#683	C₂⁴	1	4	yes	—
550	#683	C₂⁴	1	4	yes	—
551	#683	C₂⁴	1	8	yes	—
552	C₄×Dic₅	C₂⁴	1	4	yes	—
553	C₄×Dic₅	C₂⁴	1	4	yes	—
554	C₄×Dic₅	C₂⁴	1	8	yes	—
555	C₄×Dic₅	C₂⁴	1	4	yes	—
556	C₄×Dic₅	C₂⁴	1	4	yes	—
557	C₄×Dic₅	C₂⁴	1	8	yes	—
558	C₂²×#41	—	5	2	no	—
559	C₂²×#41	—	5	1	no	—
560	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
561	C₂³×Q₈	—	5	1	no	—
562	C₂³×D₄	—	5	2	no	—
563	C₂³×D₄	—	5	1	no	—
564	C₂³×D₄	—	5	2	no	—
565	C₂³×D₄	—	5	1	no	—
566	C₂³×D₄	C₂×D₅	1	1	yes	characteristic, complemented
567	#562	—	5	32	no	—
568	H(3,𝔽₄)	—	5	32	no	—
569	#559	—	5	16	no	—
570	#559	—	5	16	no	—
571	#548	—	5	16	no	—
572	#548	—	5	16	no	—
573	#546	—	5	16	no	—
574	#546	—	5	16	no	—
575	#546	—	5	32	no	—
576	#546	—	5	32	no	—
577	D₄²	—	5	16	no	—
578	D₄²	—	5	16	no	—
579	#542	—	5	16	no	—
580	#542	—	5	16	no	—
581	#538	—	5	32	no	—
582	#538	—	5	32	no	—
583	#538	—	5	32	no	—
584	#535	—	5	16	no	—
585	#535	C₂×D₅	1	16	yes	complemented
586	#534	—	5	32	no	—
587	#532	—	5	16	no	—
588	C₂×C₄⋊Q₈	—	5	1	no	—
589	C₂×#127	—	5	1	no	—
590	C₂×#127	C₂×D₅	1	1	yes	characteristic
591	C₂×#127	C₂×D₅	1	1	yes	characteristic, complemented
592	#529	—	5	16	no	—
593	C₂×#126	—	5	1	no	—
594	C₂×#126	—	5	2	no	—
595	C₂×#126	—	5	1	no	—
596	C₂×#126	—	5	2	no	—
597	C₂×#125	—	5	1	no	—
598	C₂×#124	—	5	1	no	—
599	C₂×#124	—	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	16	no	—
605	C₂×#124	—	5	2	no	—
606	C₂×#124	—	5	2	no	—
607	C₂×#124	—	5	1	no	—
608	C₂×#124	—	5	2	no	—
609	C₂×#124	—	5	2	no	—
610	C₂×#124	—	5	2	no	—
611	C₂×#124	—	5	2	no	—
612	C₂×#124	—	5	1	no	—
613	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
614	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
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×#123	—	5	1	no	—
620	C₂×#123	—	5	1	no	—
621	C₂×#123	—	5	2	no	—
622	C₂×#123	—	5	2	no	—
623	C₂×#123	—	5	2	no	—
624	C₂×#123	—	5	2	no	—
625	C₂×C₂²⋊Q₈	—	5	1	no	—
626	C₂×C₂²⋊Q₈	—	5	2	no	—
627	C₂×C₂²⋊Q₈	—	5	1	no	—
628	C₂×C₂²⋊Q₈	—	5	1	no	—
629	C₂×C₂²⋊Q₈	—	5	2	no	—
630	C₂×C₂²⋊Q₈	—	5	2	no	—
631	C₂×C₂²⋊Q₈	—	5	2	no	—
632	C₂×#121	—	5	1	no	—
633	C₂×#121	—	5	2	no	—
634	C₂×#121	—	5	1	no	—
635	C₂×#121	—	5	1	no	—
636	C₂×#121	—	5	2	no	—
637	C₂×#121	—	5	2	no	—
638	C₂×#121	—	5	2	no	—
639	C₂×#121	—	5	2	no	—
640	C₂×#121	—	5	2	no	—
641	C₂×#121	—	5	2	no	—
642	C₂×#121	—	5	2	no	—
643	C₂×#121	—	5	1	no	—
644	C₂×#121	—	5	1	no	—
645	C₂×#121	—	5	2	no	—
646	C₂×#121	C₂×D₅	1	2	yes	complemented
647	C₂×#121	C₂×D₅	1	2	yes	complemented
648	C₂×#120	—	5	2	no	—
649	C₂×#120	—	5	2	no	—
650	C₂×#120	—	5	2	no	—
651	C₂×#120	—	5	2	no	—
652	C₂×#120	—	5	2	no	—
653	C₂×#120	—	5	2	no	—
654	C₂×#120	—	5	2	no	—
655	C₂×#120	—	5	2	no	—
656	C₂×#120	C₂×D₅	1	2	yes	complemented
657	C₂×#120	C₂×D₅	1	2	yes	complemented
658	C₂×C₄×Q₈	—	5	1	no	—
659	C₂×C₄×Q₈	—	5	1	no	—
660	C₂×C₄×Q₈	—	5	1	no	—
661	C₂×C₄×D₄	—	5	2	no	—
662	C₂×C₄×D₄	—	5	1	no	—
663	C₂×C₄×D₄	—	5	1	no	—
664	C₂×C₄×D₄	—	5	2	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×#117	—	5	1	no	—
674	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
675	C₂²×C₂²⋊C₄	—	5	2	no	—
676	C₂²×C₂²⋊C₄	—	5	2	no	—
677	C₂²×C₂²⋊C₄	—	5	2	no	—
678	C₂²×C₂²⋊C₄	—	5	2	no	—
679	C₂²×C₄²	—	5	1	no	—
680	C₂³×C₅	—	2	4	no	—
681	C₂³×C₅	—	2	4	no	—
682	C₂³×C₅	—	2	4	no	—
683	C₂³×C₅	—	2	4	no	—
684	C₂³×C₅	—	2	2	no	—
685	C₂³×C₅	—	2	4	no	—
686	C₂³×C₅	—	2	4	no	—
687	C₂³×C₅	—	2	2	no	—
688	C₂³×C₅	—	2	4	no	—
689	C₂³×C₅	—	2	2	no	—
690	C₂³×C₅	—	2	4	no	—
691	C₂³×C₅	—	2	4	no	—
692	C₂³×C₅	—	4	8	no	—
693	C₂³×C₅	—	4	8	no	—
694	C₂³×C₅	—	4	8	no	—
695	C₂³×C₅	—	8	16	no	—
696	C₂³×C₅	C₂⁵	1	4	yes	—
697	C₂³×C₅	C₂⁵	1	2	yes	—
698	C₂³×C₅	C₂⁵	1	4	yes	—
699	C₂³×C₅	C₂⁵	1	4	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	2	no	—
707	C₂²×D₅	—	2	2	no	—
708	C₂²×D₅	—	2	4	no	—
709	C₂²×D₅	—	2	16	no	—
710	C₂²×D₅	—	4	8	no	—
711	C₂²×D₅	—	4	8	no	—
712	C₂²×D₅	—	4	8	no	—
713	C₂²×D₅	—	4	8	no	—
714	C₂²×D₅	—	4	8	no	—
715	C₂²×D₅	—	8	16	no	—
716	C₂²×D₅	—	8	16	no	—
717	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
718	C₂²×D₅	C₂⁵	1	2	yes	—
719	C₂²×D₅	C₂⁵	1	4	yes	—
720	C₂²×D₅	C₂⁵	1	2	yes	—
721	C₅×Q₈	—	2	8	no	—
722	C₅×D₄	—	2	8	no	—
723	C₅×D₄	—	2	8	no	—
724	C₅×D₄	—	2	8	no	—
725	C₅×D₄	—	4	8	no	—
726	C₅×D₄	—	4	8	no	—
727	C₅×D₄	—	4	8	no	—
728	C₅×D₄	—	4	8	no	—
729	C₅×D₄	—	4	8	no	—
730	C₅×D₄	—	4	8	no	—
731	C₂×C₄×C₅	—	2	2	no	—
732	C₂×C₄×C₅	—	2	4	no	—
733	C₂×C₄×C₅	—	2	2	no	—
734	C₂×C₄×C₅	—	2	2	no	—
735	C₂×C₄×C₅	—	2	2	no	—
736	C₂×C₄×C₅	—	2	2	no	—
737	C₂×C₄×C₅	—	2	8	no	—
738	C₂×C₄×C₅	—	4	8	no	—
739	C₂×C₄×C₅	H(5,𝔽₂)	1	4	yes	—
740	C₂×C₄×C₅	C₂⁵	1	2	yes	—
741	C₂×C₄×C₅	C₂⁵	1	2	yes	—
742	C₂×C₄×C₅	C₂⁵	1	4	yes	—
743	C₂×C₄×C₅	C₂⁵	1	2	yes	—
744	C₂×C₄×C₅	C₂⁵	1	2	yes	—
745	C₂×C₄×C₅	C₂⁵	1	2	yes	—
746	C₂×C₄×C₅	C₂⁵	1	2	yes	—
747	C₂²⋊D₅	—	2	16	no	—
748	C₂²⋊D₅	—	2	16	no	—
749	C₂²⋊D₅	—	2	8	no	—
750	C₂²⋊D₅	—	4	8	no	—
751	C₂²⋊D₅	—	4	8	no	—
752	C₂²⋊D₅	—	4	8	no	—
753	C₂²⋊D₅	—	4	8	no	—
754	C₂²⋊D₅	—	4	8	no	—
755	C₂²⋊D₅	—	4	8	no	—
756	C₂²⋊D₅	—	4	4	no	—
757	C₂²⋊D₅	—	4	8	no	—
758	C₂×Dic₅	—	2	4	no	—
759	C₂×Dic₅	—	2	2	no	—
760	C₂×Dic₅	—	2	4	no	—
761	C₂×Dic₅	—	2	4	no	—
762	C₂×Dic₅	—	2	2	no	—
763	C₂×Dic₅	—	2	2	no	—
764	C₂×Dic₅	—	2	2	no	—
765	C₂×Dic₅	—	2	2	no	—
766	C₂×Dic₅	—	2	2	no	—
767	C₂×Dic₅	—	4	8	no	—
768	C₂×Dic₅	—	4	8	no	—
769	C₂×Dic₅	—	4	8	no	—
770	C₂×Dic₅	—	4	8	no	—
771	C₂×Dic₅	C₂⁵	1	2	yes	—
772	C₂×Dic₅	C₂⁵	1	2	yes	—
773	C₂×Dic₅	C₂⁵	1	2	yes	—
774	C₂×Dic₅	C₂⁵	1	2	yes	—
775	C₂×Dic₅	C₂⁵	1	2	yes	—
776	C₂×Dic₅	C₂⁵	1	4	yes	—
777	C₂×Dic₅	C₂⁵	1	4	yes	—
778	C₂×Dic₅	C₂⁵	1	4	yes	—
779	C₂×Dic₅	C₂⁵	1	2	yes	—
780	D₂₀	—	2	8	no	—
781	D₂₀	—	2	8	no	—
782	C₄×D₅	—	2	8	no	—
783	C₄×D₅	—	2	8	no	—
784	C₄×D₅	—	2	8	no	—
785	C₄×D₅	—	4	4	no	—
786	C₄×D₅	—	4	8	no	—
787	C₄×D₅	—	4	8	no	—
788	Dic₁₀	—	2	8	no	—
789	Dic₁₀	—	4	4	no	—
790	Dic₁₀	—	4	8	no	—
791	Dic₁₀	—	4	8	no	—
792	C₂⁵	—	5	2	no	—
793	C₂⁵	—	5	2	no	—
794	C₂⁵	C₂²×D₅	1	2	yes	—
795	C₂×#41	—	4	4	no	—
796	C₂×#41	—	5	16	no	—
797	C₂×#41	—	5	8	no	—
798	C₂×#41	—	20	4	no	—
799	C₂×#41	—	20	8	no	—
800	C₂×#41	C₂²×D₅	1	8	yes	complemented
801	C₂²×Q₈	—	5	8	no	—
802	C₂²×Q₈	—	5	1	no	—
803	C₂²×Q₈	—	5	1	no	—
804	C₂²×Q₈	—	5	2	no	—
805	C₂²×Q₈	—	5	2	no	—
806	C₂²×Q₈	—	20	4	no	—
807	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
808	C₂²×D₄	—	4	4	no	—
809	C₂²×D₄	—	5	2	no	—
810	C₂²×D₄	—	5	2	no	—
811	C₂²×D₄	—	5	1	no	—
812	C₂²×D₄	—	5	1	no	—
813	C₂²×D₄	—	5	2	no	—
814	C₂²×D₄	—	5	2	no	—
815	C₂²×D₄	—	5	2	no	—
816	C₂²×D₄	—	5	2	no	—
817	C₂²×D₄	—	5	2	no	—
818	C₂²×D₄	—	5	2	no	—
819	C₂²×D₄	—	5	2	no	—
820	C₂²×D₄	—	5	16	no	—
821	C₂²×D₄	—	5	8	no	—
822	C₂²×D₄	—	5	16	no	—
823	C₂²×D₄	—	5	8	no	—
824	C₂²×D₄	—	5	1	no	—
825	C₂²×D₄	—	5	1	no	—
826	C₂²×D₄	—	20	4	no	—
827	C₂²×D₄	—	20	4	no	—
828	C₂²×D₄	—	20	8	no	—
829	C₂²×D₄	—	20	8	no	—
830	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
831	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
832	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
833	C₂²×D₄	C₂²×D₅	1	2	yes	—
834	C₂²×D₄	C₂²×D₅	1	2	yes	—
835	C₂²×D₄	C₂²×D₅	1	2	yes	—
836	C₂²×D₄	C₂²×D₅	1	2	yes	—
837	C₂²×D₄	C₂²×D₅	1	2	yes	—
838	C₂²×D₄	C₂²×D₅	1	2	yes	—
839	C₂²×D₄	C₂²×D₅	1	8	yes	complemented
840	C₂³×C₄	—	5	2	no	—
841	C₂³×C₄	—	5	2	no	—
842	C₂³×C₄	—	5	2	no	—
843	C₂³×C₄	—	5	2	no	—
844	C₂³×C₄	—	5	1	no	—
845	C₂³×C₄	—	5	1	no	—
846	C₂³×C₄	—	5	1	no	—
847	C₂³×C₄	—	5	2	no	—
848	C₂³×C₄	—	5	1	no	—
849	C₂³×C₄	—	5	2	no	—
850	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
851	C₂³×C₄	C₂²×D₅	1	2	yes	—
852	C₄⋊Q₈	—	5	8	no	—
853	#127	—	5	8	no	—
854	#127	C₂²×D₅	1	8	yes	—
855	#127	C₂²×D₅	1	8	yes	complemented
856	#126	—	5	8	no	—
857	#126	—	5	16	no	—
858	#126	—	5	8	no	—
859	#126	—	5	16	no	—
860	#125	—	5	8	no	—
861	#124	—	5	8	no	—
862	#124	—	5	8	no	—
863	#124	—	5	16	no	—
864	#124	—	5	8	no	—
865	#124	—	5	16	no	—
866	#124	—	5	16	no	—
867	#124	—	5	16	no	—
868	#124	—	5	16	no	—
869	#124	—	5	8	no	—
870	#124	—	5	16	no	—
871	#124	—	5	16	no	—
872	#124	—	5	16	no	—
873	#124	—	5	16	no	—
874	#124	—	5	8	no	—
875	#124	C₂²×D₅	1	8	yes	complemented
876	#124	C₂²×D₅	1	8	yes	complemented
877	#123	—	5	16	no	—
878	#123	—	5	16	no	—
879	#123	—	5	16	no	—
880	#123	—	5	16	no	—
881	#123	—	5	8	no	—
882	#123	—	5	8	no	—
883	#123	—	5	16	no	—
884	#123	—	5	16	no	—
885	#123	—	5	16	no	—
886	#123	—	5	16	no	—
887	C₂²⋊Q₈	—	5	8	no	—
888	C₂²⋊Q₈	—	5	16	no	—
889	C₂²⋊Q₈	—	5	8	no	—
890	C₂²⋊Q₈	—	5	8	no	—
891	C₂²⋊Q₈	—	5	16	no	—
892	C₂²⋊Q₈	—	5	16	no	—
893	C₂²⋊Q₈	—	5	16	no	—
894	#121	—	5	16	no	—
895	#121	—	5	8	no	—
896	#121	—	5	8	no	—
897	#121	—	5	16	no	—
898	#121	—	5	16	no	—
899	#121	—	5	16	no	—
900	#121	—	5	16	no	—
901	#121	—	5	16	no	—
902	#121	—	5	16	no	—
903	#121	—	5	16	no	—
904	#121	—	5	8	no	—
905	#121	—	5	8	no	—
906	#121	—	5	8	no	—
907	#121	—	5	16	no	—
908	#121	C₂²×D₅	1	16	yes	complemented
909	#121	C₂²×D₅	1	16	yes	complemented
910	#120	—	5	16	no	—
911	#120	—	5	16	no	—
912	#120	—	5	16	no	—
913	#120	—	5	16	no	—
914	#120	—	5	16	no	—
915	#120	—	5	16	no	—
916	#120	—	5	16	no	—
917	#120	—	5	16	no	—
918	#120	C₂²×D₅	1	16	yes	complemented
919	#120	C₂²×D₅	1	16	yes	complemented
920	C₄×Q₈	—	5	8	no	—
921	C₄×Q₈	—	5	8	no	—
922	C₄×Q₈	—	5	8	no	—
923	C₄×D₄	—	5	16	no	—
924	C₄×D₄	—	5	8	no	—
925	C₄×D₄	—	5	8	no	—
926	C₄×D₄	—	5	16	no	—
927	C₄×D₄	—	5	8	no	—
928	C₄×D₄	—	5	8	no	—
929	C₄×D₄	—	5	8	no	—
930	C₄×D₄	—	5	16	no	—
931	C₄×D₄	—	5	16	no	—
932	C₄×D₄	—	5	16	no	—
933	C₄×D₄	—	5	8	no	—
934	C₄×D₄	—	5	8	no	—
935	#117	—	5	8	no	—
936	#117	C₂²×D₅	1	8	yes	complemented
937	C₂×C₄⋊C₄	—	5	1	no	—
938	C₂×C₄⋊C₄	—	5	1	no	—
939	C₂×C₄⋊C₄	—	5	1	no	—
940	C₂×C₄⋊C₄	—	5	1	no	—
941	C₂×C₄⋊C₄	—	5	1	no	—
942	C₂×C₄⋊C₄	—	5	1	no	—
943	C₂×C₄⋊C₄	—	5	1	no	—
944	C₂×C₄⋊C₄	—	5	1	no	—
945	C₂×C₄⋊C₄	—	5	2	no	—
946	C₂×C₄⋊C₄	—	5	2	no	—
947	C₂×C₄⋊C₄	—	5	2	no	—
948	C₂×C₄⋊C₄	—	5	1	no	—
949	C₂×C₄⋊C₄	—	5	2	no	—
950	C₂×C₄⋊C₄	—	5	2	no	—
951	C₂×C₄⋊C₄	—	5	1	no	—
952	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	—	5	1	no	—
955	C₂×C₂²⋊C₄	—	5	2	no	—
956	C₂×C₂²⋊C₄	—	5	2	no	—
957	C₂×C₂²⋊C₄	—	5	2	no	—
958	C₂×C₂²⋊C₄	—	5	2	no	—
959	C₂×C₂²⋊C₄	—	5	16	no	—
960	C₂×C₂²⋊C₄	—	5	2	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	2	no	—
966	C₂×C₂²⋊C₄	—	5	2	no	—
967	C₂×C₂²⋊C₄	—	5	2	no	—
968	C₂×C₂²⋊C₄	—	5	1	no	—
969	C₂×C₂²⋊C₄	—	5	2	no	—
970	C₂×C₂²⋊C₄	—	5	2	no	—
971	C₂×C₂²⋊C₄	—	5	2	no	—
972	C₂×C₂²⋊C₄	—	5	2	no	—
973	C₂×C₂²⋊C₄	—	5	2	no	—
974	C₂×C₂²⋊C₄	—	5	2	no	—
975	C₂×C₂²⋊C₄	—	5	16	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	1	no	—
980	C₂×C₂²⋊C₄	—	5	2	no	—
981	C₂×C₂²⋊C₄	—	5	1	no	—
982	C₂×C₂²⋊C₄	—	5	16	no	—
983	C₂×C₂²⋊C₄	—	5	16	no	—
984	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
985	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
986	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
989	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
990	C₂×C₄²	—	5	1	no	—
991	C₂×C₄²	—	5	1	no	—
992	C₂×C₄²	—	5	2	no	—
993	C₂×C₄²	—	5	2	no	—
994	C₂×C₄²	—	5	1	no	—
995	C₂×C₄²	—	5	1	no	—
996	C₂×C₄²	—	5	8	no	—
997	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
998	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
999	C₂²×C₅	—	2	4	no	—
1000	C₂²×C₅	—	2	4	no	—
1001	C₂²×C₅	—	2	4	no	—
1002	C₂²×C₅	—	2	4	no	—
1003	C₂²×C₅	—	2	2	no	—
1004	C₂²×C₅	—	2	4	no	—
1005	C₂²×C₅	—	2	4	no	—
1006	C₂²×C₅	—	2	2	no	—
1007	C₂²×C₅	—	2	4	no	—
1008	C₂²×C₅	—	2	2	no	—
1009	C₂²×C₅	—	2	4	no	—
1010	C₂²×C₅	—	2	4	no	—
1011	C₂²×C₅	—	4	8	no	—
1012	C₂²×C₅	—	4	8	no	—
1013	C₂²×C₅	—	4	8	no	—
1014	C₂²×C₅	—	4	4	no	—
1015	C₂²×C₅	—	8	16	no	—
1016	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1017	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1018	C₂²×C₅	#585	1	2	yes	—
1019	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1020	C₂×D₅	—	2	2	no	—
1021	C₂×D₅	—	2	2	no	—
1022	C₂×D₅	—	2	8	no	—
1023	C₂×D₅	—	2	2	no	—
1024	C₂×D₅	—	2	4	no	—
1025	C₂×D₅	—	2	4	no	—
1026	C₂×D₅	—	2	2	no	—
1027	C₂×D₅	—	2	2	no	—
1028	C₂×D₅	—	2	4	no	—
1029	C₂×D₅	—	4	4	no	—
1030	C₂×D₅	—	4	8	no	—
1031	C₂×D₅	—	8	16	no	—
1032	C₂×D₅	—	8	16	no	—
1033	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1034	C₄×C₅	—	2	2	no	—
1035	C₄×C₅	—	2	4	no	—
1036	C₄×C₅	—	2	2	no	—
1037	C₄×C₅	—	2	2	no	—
1038	C₄×C₅	—	2	2	no	—
1039	C₄×C₅	—	2	2	no	—
1040	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1041	Dic₅	—	2	4	no	—
1042	Dic₅	—	2	2	no	—
1043	Dic₅	—	2	4	no	—
1044	Dic₅	—	2	4	no	—
1045	Dic₅	—	2	2	no	—
1046	Dic₅	—	2	2	no	—
1047	Dic₅	—	2	2	no	—
1048	Dic₅	—	2	2	no	—
1049	Dic₅	—	2	2	no	—
1050	C₂⁴	—	4	4	no	—
1051	C₂⁴	—	4	4	no	—
1052	C₂⁴	—	4	4	no	—
1053	C₂⁴	—	5	1	no	—
1054	C₂⁴	—	5	1	no	—
1055	C₂⁴	—	5	2	no	—
1056	C₂⁴	—	5	8	no	—
1057	C₂⁴	—	5	8	no	—
1058	C₂⁴	—	10	8	no	—
1059	C₂⁴	—	20	4	no	—
1060	C₂⁴	—	20	4	no	—
1061	C₂⁴	—	20	4	no	—
1062	C₂⁴	—	20	4	no	—
1063	C₂⁴	—	20	4	no	—
1064	C₂⁴	C₂³×D₅	1	2	yes	—
1065	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1066	C₂⁴	C₂³×D₅	1	2	yes	—
1067	C₂⁴	C₂³×D₅	1	2	yes	—
1068	C₂⁴	C₂³×D₅	1	8	yes	—
1069	#41	—	4	16	no	—
1070	#41	—	20	16	no	—
1071	#41	—	20	32	no	—
1072	C₂×Q₈	—	2	4	no	—
1073	C₂×Q₈	—	5	4	no	—
1074	C₂×Q₈	—	5	4	no	—
1075	C₂×Q₈	—	5	8	no	—
1076	C₂×Q₈	—	5	8	no	—
1077	C₂×Q₈	—	10	4	no	—
1078	C₂×Q₈	—	20	4	no	—
1079	C₂×Q₈	—	20	4	no	—
1080	C₂×Q₈	—	20	2	no	—
1081	C₂×Q₈	—	20	16	no	—
1082	C₂×Q₈	C₂³×D₅	1	4	yes	—
1083	C₂×D₄	—	2	4	no	—
1084	C₂×D₄	—	2	4	no	—
1085	C₂×D₄	—	2	4	no	—
1086	C₂×D₄	—	4	16	no	—
1087	C₂×D₄	—	4	4	no	—
1088	C₂×D₄	—	4	4	no	—
1089	C₂×D₄	—	4	4	no	—
1090	C₂×D₄	—	4	4	no	—
1091	C₂×D₄	—	4	4	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	5	8	no	—
1094	C₂×D₄	—	5	8	no	—
1095	C₂×D₄	—	5	4	no	—
1096	C₂×D₄	—	5	4	no	—
1097	C₂×D₄	—	5	8	no	—
1098	C₂×D₄	—	5	8	no	—
1099	C₂×D₄	—	5	8	no	—
1100	C₂×D₄	—	5	8	no	—
1101	C₂×D₄	—	5	8	no	—
1102	C₂×D₄	—	5	8	no	—
1103	C₂×D₄	—	5	8	no	—
1104	C₂×D₄	—	5	4	no	—
1105	C₂×D₄	—	5	4	no	—
1106	C₂×D₄	—	10	4	no	—
1107	C₂×D₄	—	10	4	no	—
1108	C₂×D₄	—	10	8	no	—
1109	C₂×D₄	—	10	8	no	—
1110	C₂×D₄	—	10	4	no	—
1111	C₂×D₄	—	20	16	no	—
1112	C₂×D₄	—	20	16	no	—
1113	C₂×D₄	—	20	4	no	—
1114	C₂×D₄	—	20	4	no	—
1115	C₂×D₄	—	20	4	no	—
1116	C₂×D₄	—	20	4	no	—
1117	C₂×D₄	—	20	4	no	—
1118	C₂×D₄	—	20	4	no	—
1119	C₂×D₄	—	20	2	no	—
1120	C₂×D₄	—	20	4	no	—
1121	C₂×D₄	—	20	32	no	—
1122	C₂×D₄	—	20	32	no	—
1123	C₂×D₄	C₂³×D₅	1	4	yes	—
1124	C₂×D₄	C₂³×D₅	1	4	yes	—
1125	C₂×D₄	C₂³×D₅	1	4	yes	—
1126	C₂×D₄	C₂³×D₅	1	8	yes	—
1127	C₂×D₄	C₂³×D₅	1	8	yes	—
1128	C₂×D₄	C₂³×D₅	1	8	yes	—
1129	C₂×D₄	C₂³×D₅	1	8	yes	—
1130	C₂×D₄	C₂³×D₅	1	8	yes	—
1131	C₂×D₄	C₂³×D₅	1	8	yes	—
1132	C₂²×C₄	—	2	4	no	—
1133	C₂²×C₄	—	4	4	no	—
1134	C₂²×C₄	—	5	1	no	—
1135	C₂²×C₄	—	5	1	no	—
1136	C₂²×C₄	—	5	1	no	—
1137	C₂²×C₄	—	5	1	no	—
1138	C₂²×C₄	—	5	2	no	—
1139	C₂²×C₄	—	5	2	no	—
1140	C₂²×C₄	—	5	2	no	—
1141	C₂²×C₄	—	5	1	no	—
1142	C₂²×C₄	—	5	1	no	—
1143	C₂²×C₄	—	5	8	no	—
1144	C₂²×C₄	—	5	8	no	—
1145	C₂²×C₄	—	5	8	no	—
1146	C₂²×C₄	—	5	8	no	—
1147	C₂²×C₄	—	5	4	no	—
1148	C₂²×C₄	—	5	4	no	—
1149	C₂²×C₄	—	5	4	no	—
1150	C₂²×C₄	—	5	4	no	—
1151	C₂²×C₄	—	5	8	no	—
1152	C₂²×C₄	—	5	8	no	—
1153	C₂²×C₄	—	10	4	no	—
1154	C₂²×C₄	—	10	4	no	—
1155	C₂²×C₄	—	10	4	no	—
1156	C₂²×C₄	—	20	4	no	—
1157	C₂²×C₄	—	20	4	no	—
1158	C₂²×C₄	—	20	2	no	—
1159	C₂²×C₄	—	20	4	no	—
1160	C₂²×C₄	—	20	4	no	—
1161	C₂²×C₄	—	20	4	no	—
1162	C₂²×C₄	—	20	4	no	—
1163	C₂²×C₄	C₂³×D₅	1	4	yes	—
1164	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₅	1	2	yes	—
1168	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₅	1	8	yes	—
1171	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1172	C₄⋊C₄	—	5	4	no	—
1173	C₄⋊C₄	—	5	4	no	—
1174	C₄⋊C₄	—	5	4	no	—
1175	C₄⋊C₄	—	5	4	no	—
1176	C₄⋊C₄	—	5	4	no	—
1177	C₄⋊C₄	—	5	4	no	—
1178	C₄⋊C₄	—	5	4	no	—
1179	C₄⋊C₄	—	5	4	no	—
1180	C₄⋊C₄	—	5	8	no	—
1181	C₄⋊C₄	—	5	8	no	—
1182	C₄⋊C₄	—	5	8	no	—
1183	C₄⋊C₄	—	5	4	no	—
1184	C₄⋊C₄	—	5	8	no	—
1185	C₄⋊C₄	—	5	8	no	—
1186	C₄⋊C₄	—	5	4	no	—
1187	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1188	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1189	C₂²⋊C₄	—	5	4	no	—
1190	C₂²⋊C₄	—	5	8	no	—
1191	C₂²⋊C₄	—	5	8	no	—
1192	C₂²⋊C₄	—	5	8	no	—
1193	C₂²⋊C₄	—	5	8	no	—
1194	C₂²⋊C₄	—	5	8	no	—
1195	C₂²⋊C₄	—	5	4	no	—
1196	C₂²⋊C₄	—	5	8	no	—
1197	C₂²⋊C₄	—	5	8	no	—
1198	C₂²⋊C₄	—	5	8	no	—
1199	C₂²⋊C₄	—	5	8	no	—
1200	C₂²⋊C₄	—	5	8	no	—
1201	C₂²⋊C₄	—	5	8	no	—
1202	C₂²⋊C₄	—	5	4	no	—
1203	C₂²⋊C₄	—	5	8	no	—
1204	C₂²⋊C₄	—	5	8	no	—
1205	C₂²⋊C₄	—	5	8	no	—
1206	C₂²⋊C₄	—	5	8	no	—
1207	C₂²⋊C₄	—	5	8	no	—
1208	C₂²⋊C₄	—	5	8	no	—
1209	C₂²⋊C₄	—	5	4	no	—
1210	C₂²⋊C₄	—	5	4	no	—
1211	C₂²⋊C₄	—	5	4	no	—
1212	C₂²⋊C₄	—	5	4	no	—
1213	C₂²⋊C₄	—	5	8	no	—
1214	C₂²⋊C₄	—	5	4	no	—
1215	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1216	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1217	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1218	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1219	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1220	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1221	C₄²	—	5	4	no	—
1222	C₄²	—	5	4	no	—
1223	C₄²	—	5	4	no	—
1224	C₄²	—	5	4	no	—
1225	C₄²	—	5	8	no	—
1226	C₄²	—	5	8	no	—
1227	C₄²	C₂³×D₅	1	4	yes	—
1228	C₄²	C₂³×D₅	1	4	yes	—
1229	C₂×C₅	—	4	4	no	—
1230	C₂×C₅	—	4	4	no	—
1231	C₂×C₅	—	4	4	no	—
1232	C₂×C₅	—	4	2	no	—
1233	C₂×C₅	#3558	1	4	yes	complemented
1234	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1235	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1236	C₂×C₅	C₂×#585	1	1	yes	characteristic
1237	D₅	—	2	4	no	—
1238	D₅	—	4	2	no	—
1239	D₅	—	4	4	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	2	4	no	—
1245	C₂³	—	2	4	no	—
1246	C₂³	—	2	4	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	4	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	4	no	—
1251	C₂³	—	2	2	no	—
1252	C₂³	—	4	8	no	—
1253	C₂³	—	4	8	no	—
1254	C₂³	—	4	8	no	—
1255	C₂³	—	5	4	no	—
1256	C₂³	—	5	2	no	—
1257	C₂³	—	5	2	no	—
1258	C₂³	—	5	4	no	—
1259	C₂³	—	8	16	no	—
1260	C₂³	—	10	16	no	—
1261	C₂³	—	10	2	no	—
1262	C₂³	—	10	2	no	—
1263	C₂³	—	10	2	no	—
1264	C₂³	—	10	4	no	—
1265	C₂³	—	10	4	no	—
1266	C₂³	—	10	2	no	—
1267	C₂³	—	10	2	no	—
1268	C₂³	—	10	4	no	—
1269	C₂³	—	20	8	no	—
1270	C₂³	—	20	8	no	—
1271	C₂³	—	20	8	no	—
1272	C₂³	—	20	8	no	—
1273	C₂³	—	20	8	no	—
1274	C₂³	—	40	16	no	—
1275	C₂³	—	40	16	no	—
1276	C₂³	C₂⁴×D₅	1	4	yes	—
1277	C₂³	C₂⁴×D₅	1	2	yes	—
1278	C₂³	C₂⁴×D₅	1	4	yes	—
1279	C₂³	C₂⁴×D₅	1	4	yes	—
1280	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1281	Q₈	—	2	8	no	—
1282	Q₈	—	10	8	no	—
1283	Q₈	—	20	8	no	—
1284	Q₈	—	20	8	no	—
1285	Q₈	—	20	4	no	—
1286	D₄	—	2	8	no	—
1287	D₄	—	2	8	no	—
1288	D₄	—	2	8	no	—
1289	D₄	—	4	8	no	—
1290	D₄	—	4	8	no	—
1291	D₄	—	4	8	no	—
1292	D₄	—	4	8	no	—
1293	D₄	—	4	8	no	—
1294	D₄	—	4	8	no	—
1295	D₄	—	10	8	no	—
1296	D₄	—	10	8	no	—
1297	D₄	—	10	16	no	—
1298	D₄	—	10	16	no	—
1299	D₄	—	10	8	no	—
1300	D₄	—	20	8	no	—
1301	D₄	—	20	8	no	—
1302	D₄	—	20	8	no	—
1303	D₄	—	20	8	no	—
1304	D₄	—	20	8	no	—
1305	D₄	—	20	8	no	—
1306	D₄	—	20	4	no	—
1307	D₄	—	20	8	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	8	no	—
1315	C₂×C₄	—	4	8	no	—
1316	C₂×C₄	—	5	2	no	—
1317	C₂×C₄	—	5	2	no	—
1318	C₂×C₄	—	5	2	no	—
1319	C₂×C₄	—	5	2	no	—
1320	C₂×C₄	—	5	4	no	—
1321	C₂×C₄	—	5	4	no	—
1322	C₂×C₄	—	5	4	no	—
1323	C₂×C₄	—	5	2	no	—
1324	C₂×C₄	—	5	2	no	—
1325	C₂×C₄	—	10	8	no	—
1326	C₂×C₄	—	10	2	no	—
1327	C₂×C₄	—	10	2	no	—
1328	C₂×C₄	—	10	4	no	—
1329	C₂×C₄	—	10	2	no	—
1330	C₂×C₄	—	10	2	no	—
1331	C₂×C₄	—	10	4	no	—
1332	C₂×C₄	—	10	4	no	—
1333	C₂×C₄	—	10	2	no	—
1334	C₂×C₄	—	10	2	no	—
1335	C₂×C₄	—	10	8	no	—
1336	C₂×C₄	—	10	8	no	—
1337	C₂×C₄	—	20	8	no	—
1338	C₂×C₄	—	20	8	no	—
1339	C₂×C₄	—	20	4	no	—
1340	C₂×C₄	—	20	8	no	—
1341	C₂×C₄	—	20	8	no	—
1342	C₂×C₄	—	20	8	no	—
1343	C₂×C₄	—	20	8	no	—
1344	C₂×C₄	#4144	1	4	yes	—
1345	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1346	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1347	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1348	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1349	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1350	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1351	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1352	C₅	C₂×#3558	1	1	yes	characteristic, complemented, Sylow
1353	C₂²	—	2	2	no	—
1354	C₂²	—	2	4	no	—
1355	C₂²	—	2	4	no	—
1356	C₂²	—	2	4	no	—
1357	C₂²	—	2	4	no	—
1358	C₂²	—	2	4	no	—
1359	C₂²	—	2	4	no	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	4	no	—
1362	C₂²	—	2	4	no	—
1363	C₂²	—	2	4	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	4	8	no	—
1367	C₂²	—	4	8	no	—
1368	C₂²	—	4	8	no	—
1369	C₂²	—	5	4	no	—
1370	C₂²	—	8	16	no	—
1371	C₂²	—	10	2	no	—
1372	C₂²	—	10	2	no	—
1373	C₂²	—	10	8	no	—
1374	C₂²	—	10	2	no	—
1375	C₂²	—	10	4	no	—
1376	C₂²	—	10	2	no	—
1377	C₂²	—	10	4	no	—
1378	C₂²	—	10	4	no	—
1379	C₂²	—	10	2	no	—
1380	C₂²	—	20	4	no	—
1381	C₂²	—	20	8	no	—
1382	C₂²	—	40	16	no	—
1383	C₂²	—	40	16	no	—
1384	C₂²	C₂×#4144	1	2	yes	—
1385	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1386	C₂²	#66285	1	2	yes	—
1387	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1388	C₄	—	2	2	no	—
1389	C₄	—	2	4	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	10	2	no	—
1395	C₄	—	10	2	no	—
1396	C₄	—	10	4	no	—
1397	C₄	—	10	2	no	—
1398	C₄	—	10	2	no	—
1399	C₄	—	10	2	no	—
1400	C₄	—	10	2	no	—
1401	C₄	—	10	4	no	—
1402	C₄	—	10	4	no	—
1403	C₄	C₂×#4144	1	4	yes	—
1404	C₂	—	4	2	no	—
1405	C₂	—	4	4	no	—
1406	C₂	—	4	4	no	—
1407	C₂	—	4	4	no	—
1408	C₂	—	10	4	no	—
1409	C₂	—	20	2	no	—
1410	C₂	—	20	4	no	—
1411	C₂	#10618238	1	4	yes	direct product factor
1412	C₂	C₂²×#4144	1	1	yes	characteristic
1413	C₂	C₂×#66285	1	1	yes	characteristic
1414	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#535	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#535	D₅
hypocenter	C₅	C₂×#3558
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#535

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#535	C₂	semidirect
2. C₂×#66165	C₂	semidirect
3. C₂×#66163	C₂	semidirect
4. C₂×D₄×C₂²⋊D₅	C₂	semidirect
5. C₂×#66140	C₂	semidirect
6. #10618238	C₂	direct (N × H)
7. C₂×#66051	C₂	semidirect
8. C₂×#66049	C₂	semidirect
9. C₂×#66047	C₂	semidirect
10. C₂×#66050	C₂	semidirect
11. C₂×#66011	C₂	semidirect
12. C₂×#66016	C₂	semidirect
13. C₂×D₅×#124	C₂	semidirect
14. C₂×#66015	C₂	semidirect
15. C₂×#65955	C₂	semidirect
16. C₂×#65944	C₂	semidirect
17. C₂×#65947	C₂	semidirect
18. C₂×#65951	C₂	semidirect
19. C₂×#65925	C₂	semidirect
20. C₂×#65923	C₂	semidirect
21. C₂×#65928	C₂	semidirect
22. C₂×#65927	C₂	semidirect
23. C₂×#65868	C₂	semidirect
24. C₂×#65862	C₂	semidirect
25. C₂²×C₅×#41	C₂²	semidirect
26. C₂³×C₅×D₄	C₂²	semidirect
27. C₂³×C₂²⋊D₅	C₂²	semidirect
28. C₂²×Q₈×D₅	C₂²	semidirect
29. C₂²×#711	C₂²	semidirect
30. C₂²×#711	C₂²	semidirect
32. C₂²×D₄×D₅	C₂²	semidirect
33. C₂²×D₄×D₅	C₂²	semidirect
34. C₅×#535	C₂²	semidirect
36. C₂×C₅×#127	C₂²	semidirect
37. C₂×C₅×#124	C₂²	semidirect
38. C₂×C₅×#124	C₂²	semidirect
39. C₂×C₅×#121	C₂²	semidirect
40. C₂×C₅×#121	C₂²	semidirect
41. C₂×C₅×#120	C₂²	semidirect
42. C₂×C₅×#120	C₂²	semidirect
43. C₂×C₅×#117	C₂²	semidirect
44. C₂×#4099	C₂²	semidirect
45. C₂×#4099	C₂²	semidirect
46. C₂²×C₂²⋊Dic₅	C₂²	semidirect
47. #66165	C₂²	semidirect
48. #66163	C₂²	semidirect
49. C₂×#4093	C₂²	semidirect
50. C₂×#4092	C₂²	semidirect
51. C₂×Q₈×Dic₅	C₂²	semidirect
52. #66140	C₂²	semidirect
54. C₂×#4085	C₂²	semidirect
55. C₂×#4085	C₂²	semidirect
56. C₂×#4085	C₂²	semidirect
57. C₂×#4085	C₂²	semidirect
58. C₂×#4085	C₂²	semidirect
59. D₄×C₂²⋊D₅	C₂²	semidirect
61. C₂×#4084	C₂²	semidirect
62. C₂×#4084	C₂²	semidirect
63. C₂×#4084	C₂²	semidirect
64. C₂×#4084	C₂²	semidirect
65. C₂×#4084	C₂²	semidirect
66. C₂×#4083	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×#4082	C₂²	semidirect
74. C₂×#4082	C₂²	semidirect
75. C₂×#4082	C₂²	semidirect
76. C₂×#4082	C₂²	semidirect
77. C₂×#4081	C₂²	semidirect
78. C₂×#4081	C₂²	semidirect
79. C₂×#4081	C₂²	semidirect
80. C₂×D₄×Dic₅	C₂²	semidirect
81. C₂×D₄×Dic₅	C₂²	semidirect
82. C₂×D₄×Dic₅	C₂²	semidirect
83. C₂×D₄×Dic₅	C₂²	semidirect
84. C₂×D₄×Dic₅	C₂²	semidirect
86. C₂×#4075	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×#4070	C₂²	semidirect
92. C₂×#4070	C₂²	semidirect
93. #66051	C₂²	semidirect
94. #66050	C₂²	semidirect
95. #66049	C₂²	semidirect
96. #66047	C₂²	semidirect
97. #66016	C₂²	semidirect
98. #66015	C₂²	semidirect
99. #66011	C₂²	semidirect
100. D₅×#124	C₂²	semidirect
101. #65955	C₂²	semidirect
102. #65951	C₂²	semidirect
103. #65947	C₂²	semidirect
104. #65944	C₂²	semidirect
105. #65928	C₂²	semidirect
106. #65927	C₂²	semidirect
107. #65925	C₂²	semidirect
108. #65923	C₂²	semidirect
109. #65868	C₂²	semidirect
110. #65862	C₂²	semidirect
111. C₂×#4044	C₂²	semidirect
112. C₂×#4044	C₂²	semidirect
113. C₂×#4042	C₂²	semidirect
114. C₂×#4042	C₂²	semidirect
115. C₂×#4040	C₂²	semidirect
116. C₂×#4035	C₂²	semidirect
117. C₂×#4032	C₂²	semidirect
118. C₂×#4032	C₂²	semidirect
119. C₂×#4031	C₂²	semidirect
120. C₂×#4031	C₂²	semidirect
121. C₂×#4031	C₂²	semidirect
122. C₂×#4031	C₂²	semidirect
123. C₂×#4031	C₂²	semidirect
124. C₂×#4031	C₂²	semidirect
125. C₂×#4031	C₂²	semidirect
127. C₂×#4030	C₂²	semidirect
128. C₂×#4029	C₂²	semidirect
129. C₂×#4029	C₂²	semidirect
130. C₂×#4029	C₂²	semidirect
131. C₂×#4027	C₂²	semidirect
132. C₂×#4027	C₂²	semidirect
133. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
134. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
135. C₂×#4025	C₂²	semidirect
136. C₂×#4025	C₂²	semidirect
137. C₂×#4024	C₂²	semidirect
138. C₂×#4024	C₂²	semidirect
139. C₂×#4021	C₂²	semidirect
140. C₂×C₄×D₂₀	C₂²	semidirect
141. C₂×C₄×D₂₀	C₂²	semidirect
142. C₂×#4018	C₂²	semidirect
143. C₂×C₄²×D₅	C₂²	semidirect
144. C₂×#4015	C₂²	semidirect
145. C₂×C₄×Dic₁₀	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
152. C₂×C₅×#41	C₂³	semidirect
164. C₂²×C₅×D₄	C₂³	semidirect
179. C₂²×C₂²⋊D₅	C₂³	semidirect
185. C₂×Q₈×D₅	C₂³	semidirect
188. C₂×#711	C₂³	semidirect
189. C₂×#711	C₂³	semidirect
194. C₂×D₄×D₅	C₂³	semidirect
195. C₂×D₄×D₅	C₂³	semidirect
209. C₅×#127	C₂³	semidirect
210. C₅×#124	C₂³	semidirect
211. C₅×#124	C₂³	semidirect
212. C₅×#121	C₂³	semidirect
213. C₅×#121	C₂³	semidirect
214. C₅×#120	C₂³	semidirect
215. C₅×#120	C₂³	semidirect
216. C₅×#117	C₂³	semidirect
227. #4099	C₂³	semidirect
228. #4099	C₂³	semidirect
242. C₂×C₂²⋊Dic₅	C₂³	semidirect
243. #4093	C₂³	semidirect
244. #4092	C₂³	semidirect
245. Q₈×Dic₅	C₂³	semidirect
247. #4085	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
257. #4084	C₂³	semidirect
258. #4083	C₂³	semidirect
259. #4083	C₂³	semidirect
260. #4083	C₂³	semidirect
261. #4083	C₂³	semidirect
262. #4083	C₂³	semidirect
263. #4083	C₂³	semidirect
264. #4082	C₂³	semidirect
265. #4082	C₂³	semidirect
266. #4082	C₂³	semidirect
267. #4082	C₂³	semidirect
268. #4082	C₂³	semidirect
269. #4081	C₂³	semidirect
270. #4081	C₂³	semidirect
271. #4081	C₂³	semidirect
272. D₄×Dic₅	C₂³	semidirect
273. D₄×Dic₅	C₂³	semidirect
274. D₄×Dic₅	C₂³	semidirect
275. D₄×Dic₅	C₂³	semidirect
276. D₄×Dic₅	C₂³	semidirect
278. #4075	C₂³	semidirect
279. C₄×C₂²⋊D₅	C₂³	semidirect
280. C₄×C₂²⋊D₅	C₂³	semidirect
281. C₄×C₂²⋊D₅	C₂³	semidirect
295. C₂×#685	C₂³	semidirect
302. #4070	C₂³	semidirect
303. #4070	C₂³	semidirect
319. #4044	C₂³	semidirect
320. #4044	C₂³	semidirect
321. #4042	C₂³	semidirect
322. #4042	C₂³	semidirect
323. #4040	C₂³	semidirect
324. #4035	C₂³	semidirect
325. #4032	C₂³	semidirect
326. #4032	C₂³	semidirect
327. #4031	C₂³	semidirect
328. #4031	C₂³	semidirect
329. #4031	C₂³	semidirect
330. #4031	C₂³	semidirect
331. #4031	C₂³	semidirect
332. #4031	C₂³	semidirect
333. #4031	C₂³	semidirect
335. #4030	C₂³	semidirect
336. #4029	C₂³	semidirect
337. #4029	C₂³	semidirect
338. #4029	C₂³	semidirect
339. #4027	C₂³	semidirect
340. #4027	C₂³	semidirect
341. D₅×C₂²⋊C₄	C₂³	semidirect
342. D₅×C₂²⋊C₄	C₂³	semidirect
343. #4025	C₂³	semidirect
344. #4025	C₂³	semidirect
345. #4024	C₂³	semidirect
346. #4024	C₂³	semidirect
347. #4021	C₂³	semidirect
348. C₄×D₂₀	C₂³	semidirect
349. C₄×D₂₀	C₂³	semidirect
350. #4018	C₂³	semidirect
351. C₄²×D₅	C₂³	semidirect
352. #4015	C₂³	semidirect
353. C₄×Dic₁₀	C₂³	semidirect
354. C₄×Dic₁₀	C₂³	semidirect
374. C₂×#535	D₅	semidirect
560. C₂²×#41	C₂×D₅	semidirect
566. C₂³×D₄	C₂×D₅	semidirect
585. #535	C₂×D₅	semidirect
591. C₂×#127	C₂×D₅	semidirect
613. C₂×#124	C₂×D₅	semidirect
614. C₂×#124	C₂×D₅	semidirect
646. C₂×#121	C₂×D₅	semidirect
647. C₂×#121	C₂×D₅	semidirect
656. C₂×#120	C₂×D₅	semidirect
657. C₂×#120	C₂×D₅	semidirect
674. C₂×#117	C₂×D₅	semidirect
800. C₂×#41	C₂²×D₅	semidirect
839. C₂²×D₄	C₂²×D₅	semidirect
855. #127	C₂²×D₅	semidirect
875. #124	C₂²×D₅	semidirect
876. #124	C₂²×D₅	semidirect
908. #121	C₂²×D₅	semidirect
909. #121	C₂²×D₅	semidirect
918. #120	C₂²×D₅	semidirect
919. #120	C₂²×D₅	semidirect
936. #117	C₂²×D₅	semidirect
1233. C₂×C₅	#3558	semidirect
1352. C₅	C₂×#3558	semidirect
1411. C₂	#10618238	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×#535	2
C₂×#66165	2
C₂×#66163	2
C₂×D₄×C₂²⋊D₅	2
C₂×#66140	2
#10618238	2
C₂×#66051	2
C₂×#66049	2
C₂×#66047	2
C₂×#66050	2
C₂×#66011	2
C₂×#66016	2
C₂×D₅×#124	2
C₂×#66015	2
C₂×#65955	2
C₂×#65944	2
C₂×#65947	2
C₂×#65951	2
C₂×#65925	2
C₂×#65923	2
C₂×#65928	2
C₂×#65927	2
C₂×#65868	2
C₂×#65862	2
C₂×#3558	5

Subgroups — C2×#10618238 #13006623

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618238 #13006623