Subgroups — C₂×#10618789 #13007294

Order 1280.

8774 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618789	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66038	C₂	1	2	yes	maximal, complemented
4	C₂×#66043	C₂	1	2	yes	maximal, complemented
5	C₂×#66032	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#66024	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#65988	C₂	1	2	yes	maximal, complemented
8	C₂×#65991	C₂	1	2	yes	maximal, complemented
9	C₂×#65944	C₂	1	2	yes	maximal, complemented
10	C₂×#65943	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#65943	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₅×#121	C₂	1	2	yes	maximal, complemented
13	C₂×#65953	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65930	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65888	C₂	1	2	yes	maximal, complemented
16	C₂×D₄×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65881	C₂	1	2	yes	maximal, complemented
18	C₂×#65879	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65887	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65872	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65866	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65855	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65848	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#4039	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#711	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
28	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
30	C₂²×#709	C₂²	1	2	yes	complemented
31	C₂³×D₂₀	C₂²	1	1	yes	characteristic
32	C₂³×D₂₀	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₅	C₂²	1	2	yes	complemented
34	C₅×#553	C₂²	1	16	yes	complemented
35	C₂×C₅×#126	C₂²	1	2	yes	complemented
36	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₅×#123	C₂²	1	2	yes	complemented
38	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₅×#121	C₂²	1	2	yes	complemented
41	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
44	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
47	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
48	C₂×#4085	C₂²	1	1	yes	characteristic
49	C₂×#4085	C₂²	1	2	yes	complemented
50	C₂×#4085	C₂²	1	2	yes	complemented
51	C₂×#4084	C₂²	1	2	yes	complemented
52	C₂×#4083	C₂²	1	2	yes	complemented
53	C₂×#4083	C₂²	1	2	yes	complemented
54	C₂×#4081	C₂²	1	1	yes	characteristic, complemented
55	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
56	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
57	C₂×#4076	C₂²	1	2	yes	complemented
58	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
59	C₂×#4076	C₂²	1	2	yes	complemented
60	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
62	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
64	C₂²×#685	C₂²	1	2	yes	complemented
65	C₂²×#685	C₂²	1	2	yes	complemented
66	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
67	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
68	#66043	C₂²	1	32	yes	complemented
69	#66038	C₂²	1	32	yes	complemented
70	#66032	C₂²	1	16	yes	complemented
71	#66024	C₂²	1	16	yes	complemented
72	#65991	C₂²	1	32	yes	complemented
73	#65988	C₂²	1	32	yes	complemented
74	#65953	C₂²	1	16	yes	complemented
75	#65944	C₂²	1	32	yes	complemented
76	#65943	C₂²	1	16	yes	complemented
77	#65943	C₂²	1	16	yes	complemented
78	D₅×#121	C₂²	1	32	yes	complemented
79	#65930	C₂²	1	16	yes	complemented
80	#65888	C₂²	1	32	yes	complemented
81	#65887	C₂²	1	16	yes	complemented
82	D₄×D₂₀	C₂²	1	16	yes	complemented
83	#65881	C₂²	1	32	yes	complemented
84	#65879	C₂²	1	16	yes	complemented
85	#65872	C₂²	1	16	yes	complemented
86	#65866	C₂²	1	16	yes	complemented
87	#65855	C₂²	1	16	yes	complemented
88	#65848	C₂²	1	16	yes	complemented
89	C₂×#4044	C₂²	1	2	yes	complemented
90	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
91	C₂×#4043	C₂²	1	2	yes	complemented
92	C₂×#4042	C₂²	1	2	yes	complemented
93	C₂×#4042	C₂²	1	2	yes	complemented
94	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
95	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
96	C₂×#4041	C₂²	1	2	yes	complemented
97	C₂×#4041	C₂²	1	2	yes	complemented
98	C₂×#4041	C₂²	1	2	yes	complemented
99	C₂×#4040	C₂²	1	2	yes	complemented
100	C₂×#4040	C₂²	1	2	yes	complemented
101	C₂×#4040	C₂²	1	2	yes	complemented
102	C₂×#4039	C₂²	1	1	yes	characteristic
103	C₂×#4039	C₂²	1	1	yes	characteristic
104	C₂×#4039	C₂²	1	1	yes	characteristic
105	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
106	C₂×#4039	C₂²	1	2	yes	complemented
107	C₂×#4039	C₂²	1	2	yes	complemented
108	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
109	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
110	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
111	C₂×#4039	C₂²	1	16	yes	complemented
112	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
113	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
114	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
115	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
116	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
118	C₂×#4032	C₂²	1	2	yes	complemented
119	C₂×#4031	C₂²	1	2	yes	complemented
120	C₂×#4031	C₂²	1	2	yes	complemented
121	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
122	C₂×#4030	C₂²	1	2	yes	complemented
123	C₂×#4030	C₂²	1	2	yes	complemented
124	C₂×#4030	C₂²	1	2	yes	complemented
125	C₂×#4030	C₂²	1	2	yes	complemented
126	C₂×#4030	C₂²	1	2	yes	complemented
127	C₂×#4029	C₂²	1	2	yes	complemented
128	C₂×#4028	C₂²	1	2	yes	complemented
129	C₂×#4028	C₂²	1	2	yes	complemented
130	C₂×#4028	C₂²	1	2	yes	complemented
131	C₂×#4028	C₂²	1	2	yes	complemented
132	C₂×#4027	C₂²	1	2	yes	complemented
133	C₂×#4027	C₂²	1	2	yes	complemented
134	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
135	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
136	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
137	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
138	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
139	C₂×#4021	C₂²	1	2	yes	complemented
140	C₂×#4020	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
142	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
143	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
144	C₂×#4018	C₂²	1	2	yes	complemented
145	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3519	—	5	1	no	maximal, Sylow
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂⁴×D₅	C₂³	1	2	yes	—
150	C₂⁴×D₅	C₂³	1	2	yes	—
151	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂²×C₅×D₄	C₂³	1	2	yes	—
154	C₂²×C₅×D₄	C₂³	1	2	yes	—
155	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₅	C₂³	1	2	yes	—
158	C₂³×C₄×C₅	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
168	C₂³×Dic₅	C₂³	1	1	yes	characteristic
169	C₂³×Dic₅	C₂³	1	1	yes	characteristic
170	C₂³×Dic₅	C₂³	1	2	yes	—
171	C₂×#711	—	4	8	no	—
172	C₂×#711	C₂³	1	16	yes	complemented
173	C₂×D₄×D₅	—	2	8	no	—
174	C₂×D₄×D₅	—	4	8	no	—
175	C₂×D₄×D₅	—	4	8	no	—
176	C₂×D₄×D₅	—	4	8	no	—
177	C₂×D₄×D₅	C₂³	1	8	yes	—
178	C₂×D₄×D₅	C₂³	1	16	yes	complemented
179	C₂×D₄×D₅	C₂³	1	16	yes	complemented
180	C₂×D₄×D₅	C₂³	1	16	yes	complemented
181	C₂×#709	—	4	8	no	—
182	C₂×#709	C₂³	1	16	yes	complemented
183	C₂²×D₂₀	—	2	8	no	—
184	C₂²×D₂₀	—	2	8	no	—
185	C₂²×D₂₀	C₂³	1	2	yes	—
186	C₂²×D₂₀	C₂³	1	1	yes	characteristic
187	C₂²×D₂₀	C₂³	1	1	yes	characteristic
188	C₂²×D₂₀	C₂³	1	2	yes	—
189	C₂²×D₂₀	C₂³	1	8	yes	—
190	C₂²×D₂₀	C₂³	1	8	yes	—
191	C₂²×D₂₀	C₂³	1	2	yes	—
192	C₂²×D₂₀	C₂³	1	2	yes	—
193	C₂²×D₂₀	C₂³	1	2	yes	—
194	C₂²×D₂₀	C₂³	1	2	yes	—
195	C₂²×D₂₀	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅	—	4	8	no	—
197	C₂²×C₄×D₅	C₂³	1	2	yes	—
198	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅	C₂³	1	2	yes	—
200	C₂²×C₄×D₅	C₂³	1	2	yes	—
201	C₂²×C₄×D₅	C₂³	1	2	yes	—
202	C₂²×C₄×D₅	C₂³	1	2	yes	—
203	C₂²×C₄×D₅	C₂³	1	2	yes	—
204	C₂²×C₄×D₅	C₂³	1	2	yes	—
205	C₂²×C₄×D₅	C₂³	1	2	yes	—
206	C₂²×C₄×D₅	C₂³	1	16	yes	complemented
207	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₀	C₂³	1	2	yes	—
209	C₅×#126	C₂³	1	16	yes	complemented
210	C₅×#125	C₂³	1	8	yes	complemented
211	C₅×#123	C₂³	1	16	yes	complemented
212	C₅×#121	C₂³	1	8	yes	complemented
213	C₅×#121	C₂³	1	16	yes	complemented
214	C₅×#121	C₂³	1	8	yes	complemented
215	C₄×C₅×D₄	C₂³	1	8	yes	complemented
216	C₄×C₅×D₄	C₂³	1	8	yes	complemented
217	C₄×C₅×D₄	C₂³	1	16	yes	complemented
218	C₅×#117	C₂³	1	8	yes	complemented
219	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
223	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
225	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
226	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
227	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₅	C₂³	1	2	yes	—
235	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
240	#4086	C₂³	1	8	yes	complemented
241	#4086	C₂³	1	8	yes	complemented
242	#4085	C₂³	1	8	yes	—
243	#4085	C₂³	1	16	yes	complemented
244	#4085	C₂³	1	16	yes	complemented
245	#4084	C₂³	1	16	yes	complemented
246	#4083	C₂³	1	16	yes	complemented
247	#4083	C₂³	1	16	yes	complemented
248	#4081	C₂³	1	8	yes	complemented
249	D₄×Dic₅	C₂³	1	8	yes	complemented
250	#4076	C₂³	1	8	yes	complemented
251	#4076	C₂³	1	16	yes	complemented
252	#4076	C₂³	1	8	yes	complemented
253	#4076	C₂³	1	16	yes	complemented
254	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
255	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
256	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
257	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
258	C₂×#685	C₂³	1	2	yes	—
259	C₂×#685	C₂³	1	1	yes	characteristic
260	C₂×#685	C₂³	1	2	yes	—
261	C₂×#685	C₂³	1	1	yes	characteristic
262	C₂×#685	C₂³	1	2	yes	—
263	C₂×#685	C₂³	1	2	yes	—
264	C₂×#685	C₂³	1	2	yes	—
265	C₂×#685	C₂³	1	2	yes	—
266	C₂×#685	C₂³	1	2	yes	—
267	C₂×#685	C₂³	1	1	yes	characteristic
268	C₂×#685	C₂³	1	2	yes	—
269	C₂×#685	C₂³	1	2	yes	—
270	C₂×#685	C₂³	1	2	yes	—
271	C₂×#685	C₂³	1	1	yes	characteristic
272	C₂×#685	C₂³	1	2	yes	—
273	C₂×#685	C₂³	1	2	yes	—
274	C₂×#685	C₂³	1	2	yes	—
275	C₂×#685	C₂³	1	16	yes	complemented
276	C₂×#685	C₂³	1	16	yes	complemented
277	#4072	C₂³	1	8	yes	complemented
278	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
283	C₂×#683	C₂³	1	1	yes	characteristic
284	C₂×#683	C₂³	1	1	yes	characteristic
285	C₂×#683	C₂³	1	1	yes	characteristic
286	C₂×#683	C₂³	1	1	yes	characteristic
287	C₂×#683	C₂³	1	1	yes	characteristic
288	C₂×#683	C₂³	1	2	yes	—
289	C₂×#683	C₂³	1	1	yes	characteristic
290	C₂×#683	C₂³	1	2	yes	—
291	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	2	yes	—
294	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
298	#4044	C₂³	1	16	yes	complemented
299	#4044	C₂³	1	8	yes	complemented
300	#4043	C₂³	1	16	yes	complemented
301	#4042	C₂³	1	16	yes	complemented
302	#4042	C₂³	1	16	yes	complemented
303	#4041	C₂³	1	8	yes	complemented
304	#4041	C₂³	1	8	yes	complemented
305	#4041	C₂³	1	16	yes	complemented
306	#4041	C₂³	1	16	yes	complemented
307	#4041	C₂³	1	16	yes	complemented
308	#4040	C₂³	1	16	yes	complemented
309	#4040	C₂³	1	16	yes	complemented
310	#4040	C₂³	1	16	yes	complemented
311	#4039	C₂³	1	8	yes	—
312	#4039	C₂³	1	8	yes	—
313	#4039	C₂³	1	8	yes	—
314	#4039	C₂³	1	8	yes	complemented
315	#4039	C₂³	1	8	yes	complemented
316	#4039	C₂³	1	16	yes	complemented
317	#4039	C₂³	1	16	yes	complemented
318	#4039	C₂³	1	8	yes	complemented
319	#4039	C₂³	1	8	yes	complemented
320	#4038	C₂³	1	8	yes	complemented
321	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
322	#4036	C₂³	1	8	yes	complemented
323	#4035	C₂³	1	8	yes	complemented
324	#4034	C₂³	1	8	yes	complemented
325	#4032	C₂³	1	8	yes	complemented
326	#4032	C₂³	1	16	yes	complemented
327	#4031	C₂³	1	16	yes	complemented
328	#4031	C₂³	1	8	yes	complemented
329	#4031	C₂³	1	16	yes	complemented
330	#4030	C₂³	1	16	yes	complemented
331	#4030	C₂³	1	16	yes	complemented
332	#4030	C₂³	1	16	yes	complemented
333	#4030	C₂³	1	16	yes	complemented
334	#4030	C₂³	1	16	yes	complemented
335	#4029	C₂³	1	16	yes	complemented
336	#4028	C₂³	1	16	yes	complemented
337	#4028	C₂³	1	16	yes	complemented
338	#4028	C₂³	1	16	yes	complemented
339	#4028	C₂³	1	16	yes	complemented
340	#4027	C₂³	1	16	yes	complemented
341	#4027	C₂³	1	16	yes	complemented
342	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
343	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
344	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
345	#4025	C₂³	1	8	yes	complemented
346	#4024	C₂³	1	8	yes	complemented
347	#4021	C₂³	1	16	yes	complemented
348	#4020	C₂³	1	8	yes	complemented
349	C₄×D₂₀	C₂³	1	8	yes	—
350	C₄×D₂₀	C₂³	1	16	yes	complemented
351	C₄×D₂₀	C₂³	1	16	yes	complemented
352	#4018	C₂³	1	16	yes	complemented
353	#4018	C₂³	1	8	yes	complemented
354	C₄×Dic₁₀	C₂³	1	8	yes	complemented
355	#3519	—	5	32	no	—
356	C₂×#555	—	5	1	no	—
357	C₂×#554	—	5	1	no	—
358	C₂×#553	—	5	2	no	—
359	C₂×#553	—	5	1	no	—
360	C₂×#553	D₅	1	1	yes	characteristic, complemented
361	C₂×#550	—	5	1	no	—
362	C₂×#546	—	5	2	no	—
363	C₂×#546	—	5	2	no	—
364	C₂×#546	—	5	2	no	—
365	C₂×D₄²	—	5	1	no	—
366	C₂×D₄²	—	5	1	no	—
367	C₂×D₄²	—	5	1	no	—
368	C₂×#540	—	5	1	no	—
369	C₂×#540	—	5	1	no	—
370	C₂×#538	—	5	2	no	—
371	C₂×#538	—	5	2	no	—
372	C₂×#532	—	5	1	no	—
373	C₂×#529	—	5	1	no	—
374	C₂×#525	—	5	2	no	—
375	C₂²×#121	—	5	2	no	—
376	C₂×#518	—	5	1	no	—
377	C₂×#518	—	5	1	no	—
378	C₂²×C₄×D₄	—	5	1	no	—
379	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₅	C₂⁴	1	2	yes	—
381	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
382	C₂³×D₅	—	2	8	no	—
383	C₂³×D₅	—	2	8	no	—
384	C₂³×D₅	—	2	8	no	—
385	C₂³×D₅	—	2	8	no	—
386	C₂³×D₅	—	4	4	no	—
387	C₂³×D₅	—	4	4	no	—
388	C₂³×D₅	—	4	4	no	—
389	C₂³×D₅	—	4	4	no	—
390	C₂³×D₅	—	4	4	no	—
391	C₂³×D₅	C₂⁴	1	2	yes	—
392	C₂³×D₅	C₂⁴	1	2	yes	—
393	C₂³×D₅	C₂⁴	1	1	yes	characteristic
394	C₂³×D₅	C₂⁴	1	8	yes	—
395	C₂³×D₅	C₂⁴	1	2	yes	—
396	C₂³×D₅	C₂⁴	1	8	yes	—
397	C₂³×D₅	C₂⁴	1	8	yes	—
398	C₂×C₅×D₄	—	2	4	no	—
399	C₂×C₅×D₄	—	2	8	no	—
400	C₂×C₅×D₄	—	2	4	no	—
401	C₂×C₅×D₄	—	4	4	no	—
402	C₂×C₅×D₄	C₂⁴	1	4	yes	—
403	C₂×C₅×D₄	C₂⁴	1	4	yes	—
404	C₂×C₅×D₄	C₂⁴	1	8	yes	—
405	C₂×C₅×D₄	C₂⁴	1	8	yes	—
406	C₂²×C₄×C₅	—	2	4	no	—
407	C₂²×C₄×C₅	—	2	4	no	—
408	C₂²×C₄×C₅	—	4	4	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	1	yes	characteristic
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
415	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
417	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
418	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
419	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
420	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
421	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
422	C₂×C₂²⋊D₅	—	2	4	no	—
423	C₂×C₂²⋊D₅	—	2	8	no	—
424	C₂×C₂²⋊D₅	—	2	8	no	—
425	C₂×C₂²⋊D₅	—	2	8	no	—
426	C₂×C₂²⋊D₅	—	2	4	no	—
427	C₂×C₂²⋊D₅	—	4	4	no	—
428	C₂×C₂²⋊D₅	—	4	4	no	—
429	C₂×C₂²⋊D₅	—	4	4	no	—
430	C₂×C₂²⋊D₅	—	4	4	no	—
431	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
432	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
433	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
434	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
435	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
436	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
437	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
438	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
439	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
440	C₂²×Dic₅	—	2	4	no	—
441	C₂²×Dic₅	—	2	4	no	—
442	C₂²×Dic₅	—	4	4	no	—
443	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₅	C₂⁴	1	2	yes	—
448	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₅	C₂⁴	1	4	yes	—
451	C₂²×Dic₅	C₂⁴	1	4	yes	—
452	C₂²×Dic₅	C₂⁴	1	8	yes	—
453	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
454	#711	—	4	32	no	—
455	D₄×D₅	—	2	32	no	—
456	D₄×D₅	—	4	32	no	—
457	D₄×D₅	—	4	32	no	—
458	D₄×D₅	—	4	32	no	—
459	#709	—	4	32	no	—
460	C₂×D₂₀	—	2	8	no	—
461	C₂×D₂₀	—	2	8	no	—
462	C₂×D₂₀	—	2	4	no	—
463	C₂×D₂₀	—	2	4	no	—
464	C₂×D₂₀	—	2	32	no	—
465	C₂×D₂₀	—	2	32	no	—
466	C₂×D₂₀	—	4	4	no	—
467	C₂×D₂₀	—	4	4	no	—
468	C₂×D₂₀	—	4	4	no	—
469	C₂×D₂₀	—	4	4	no	—
470	C₂×D₂₀	#41	1	8	yes	complemented
471	C₂×D₂₀	C₂⁴	1	8	yes	—
472	C₂×D₂₀	C₂⁴	1	4	yes	—
473	C₂×D₂₀	C₂⁴	1	4	yes	—
474	C₂×D₂₀	C₂⁴	1	8	yes	—
475	C₂×D₂₀	C₂⁴	1	8	yes	—
476	C₂×D₂₀	C₂⁴	1	8	yes	—
477	C₂×D₂₀	C₂⁴	1	8	yes	—
478	C₂×D₂₀	C₂⁴	1	8	yes	—
479	C₂×D₂₀	C₂⁴	1	4	yes	—
480	C₂×C₄×D₅	—	2	4	no	—
481	C₂×C₄×D₅	—	2	8	no	—
482	C₂×C₄×D₅	—	2	8	no	—
483	C₂×C₄×D₅	—	4	32	no	—
484	C₂×C₄×D₅	—	4	4	no	—
485	C₂×C₄×D₅	—	4	4	no	—
486	C₂×C₄×D₅	—	4	4	no	—
487	C₂×C₄×D₅	—	4	4	no	—
488	C₂×C₄×D₅	—	4	4	no	—
489	C₂×C₄×D₅	—	4	4	no	—
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×C₄×D₅	C₂⁴	1	8	yes	—
494	C₂×C₄×D₅	C₂⁴	1	8	yes	—
495	C₂×C₄×D₅	C₂⁴	1	8	yes	—
496	C₂×C₄×D₅	C₂⁴	1	8	yes	—
497	C₂×C₄×D₅	C₂⁴	1	8	yes	—
498	C₂×C₄×D₅	C₂⁴	1	8	yes	—
499	C₂×Dic₁₀	—	2	4	no	—
500	C₂×Dic₁₀	—	4	4	no	—
501	C₂×Dic₁₀	C₂⁴	1	4	yes	—
502	C₂×Dic₁₀	C₂⁴	1	8	yes	—
503	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
504	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
505	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
506	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
507	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
508	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
509	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
510	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
511	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
512	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
513	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
514	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
515	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₄²×C₅	C₂⁴	1	8	yes	—
517	C₄²×C₅	C₂⁴	1	4	yes	—
518	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
519	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
520	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
521	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
522	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
523	#685	C₂⁴	1	8	yes	—
524	#685	C₂⁴	1	4	yes	—
525	#685	C₂⁴	1	8	yes	—
526	#685	C₂⁴	1	4	yes	—
527	#685	C₂⁴	1	8	yes	—
528	#685	C₂⁴	1	8	yes	—
529	#685	C₂⁴	1	8	yes	—
530	#685	C₂⁴	1	8	yes	—
531	#685	C₂⁴	1	8	yes	—
532	#685	C₂⁴	1	4	yes	—
533	#685	C₂⁴	1	8	yes	—
534	#685	C₂⁴	1	8	yes	—
535	#685	C₂⁴	1	8	yes	—
536	#685	C₂⁴	1	4	yes	—
537	#685	C₂⁴	1	8	yes	—
538	#685	C₂⁴	1	8	yes	—
539	#685	C₂⁴	1	8	yes	—
540	C₄⋊Dic₅	C₂⁴	1	4	yes	—
541	C₄⋊Dic₅	C₂⁴	1	4	yes	—
542	C₄⋊Dic₅	C₂⁴	1	4	yes	—
543	C₄⋊Dic₅	C₂⁴	1	4	yes	—
544	C₄⋊Dic₅	C₂⁴	1	8	yes	—
545	#683	C₂⁴	1	4	yes	—
546	#683	C₂⁴	1	4	yes	—
547	#683	C₂⁴	1	4	yes	—
548	#683	C₂⁴	1	4	yes	—
549	#683	C₂⁴	1	4	yes	—
550	#683	C₂⁴	1	8	yes	—
551	#683	C₂⁴	1	4	yes	—
552	#683	C₂⁴	1	8	yes	—
553	C₄×Dic₅	C₂⁴	1	4	yes	—
554	C₄×Dic₅	C₂⁴	1	4	yes	—
555	C₄×Dic₅	C₂⁴	1	8	yes	—
556	C₄×Dic₅	C₂⁴	1	4	yes	—
557	C₄×Dic₅	C₂⁴	1	4	yes	—
558	C₄×Dic₅	C₂⁴	1	4	yes	—
559	C₂²×#41	—	5	2	no	—
560	C₂²×#41	—	5	2	no	—
561	C₂³×D₄	—	5	1	no	—
562	C₂³×D₄	—	5	2	no	—
563	C₂³×D₄	—	5	2	no	—
564	C₂³×D₄	—	5	2	no	—
565	C₂³×D₄	—	5	1	no	—
566	C₂³×D₄	—	5	1	no	—
567	C₂⁴×C₄	—	5	2	no	—
568	#555	—	5	16	no	—
569	#554	—	5	16	no	—
570	#553	—	5	32	no	—
571	#553	—	5	16	no	—
572	#553	C₂×D₅	1	16	yes	complemented
573	#550	—	5	16	no	—
574	#546	—	5	32	no	—
575	#546	—	5	32	no	—
576	#546	—	5	32	no	—
577	D₄²	—	5	16	no	—
578	D₄²	—	5	16	no	—
579	D₄²	—	5	16	no	—
580	#540	—	5	16	no	—
581	#540	—	5	16	no	—
582	#538	—	5	32	no	—
583	#538	—	5	32	no	—
584	#532	—	5	16	no	—
585	C₂×C₄⋊Q₈	—	5	1	no	—
586	C₂×#127	—	5	1	no	—
587	C₂×#127	—	5	1	no	—
588	C₂×#127	—	5	1	no	—
589	#529	—	5	16	no	—
590	C₂×#126	—	5	1	no	—
591	C₂×#126	—	5	2	no	—
592	C₂×#126	—	5	1	no	—
593	C₂×#126	C₂×D₅	1	2	yes	complemented
594	C₂×#125	—	5	1	no	—
595	C₂×#125	—	5	1	no	—
596	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
597	C₂×#124	—	5	1	no	—
598	C₂×#124	—	5	2	no	—
599	C₂×#124	—	5	2	no	—
600	C₂×#124	—	5	2	no	—
601	#525	—	5	32	no	—
602	C₂×#123	—	5	1	no	—
603	C₂×#123	—	5	2	no	—
604	C₂×#123	—	5	2	no	—
605	C₂×#123	—	5	2	no	—
606	C₂×#123	—	5	2	no	—
607	C₂×#123	—	5	1	no	—
608	C₂×#123	—	5	2	no	—
609	C₂×#123	C₂×D₅	1	2	yes	complemented
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	1	no	—
614	C₂×#121	—	5	2	no	—
615	C₂×#121	—	5	1	no	—
616	C₂×#121	—	5	2	no	—
617	C₂×#121	—	5	2	no	—
618	C₂×#121	—	5	2	no	—
619	C₂×#121	—	5	1	no	—
620	C₂×#121	—	5	2	no	—
621	C₂×#121	—	5	1	no	—
622	C₂×#121	—	5	32	no	—
623	C₂×#121	—	5	2	no	—
624	C₂×#121	—	5	2	no	—
625	C₂×#121	—	5	1	no	—
626	C₂×#121	—	5	1	no	—
627	C₂×#121	—	5	2	no	—
628	C₂×#121	—	5	2	no	—
629	C₂×#121	—	5	2	no	—
630	C₂×#121	—	5	2	no	—
631	C₂×#121	—	5	2	no	—
632	C₂×#121	—	5	2	no	—
633	C₂×#121	C₂×D₅	1	2	yes	complemented
634	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
635	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
636	C₂×#120	—	5	2	no	—
637	C₂×#120	—	5	2	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	#518	—	5	16	no	—
643	#518	—	5	16	no	—
644	C₂×C₄×Q₈	—	5	1	no	—
645	C₂×C₄×D₄	—	5	1	no	—
646	C₂×C₄×D₄	—	5	2	no	—
647	C₂×C₄×D₄	—	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	1	no	—
652	C₂×C₄×D₄	—	5	1	no	—
653	C₂×C₄×D₄	—	5	2	no	—
654	C₂×C₄×D₄	—	5	1	no	—
655	C₂×C₄×D₄	—	5	2	no	—
656	C₂×C₄×D₄	—	5	1	no	—
657	C₂×C₄×D₄	—	5	1	no	—
658	C₂×C₄×D₄	—	5	1	no	—
659	C₂×C₄×D₄	—	5	16	no	—
660	C₂×C₄×D₄	—	5	2	no	—
661	C₂×C₄×D₄	—	5	2	no	—
662	C₂×C₄×D₄	—	5	1	no	—
663	C₂×C₄×D₄	—	5	2	no	—
664	C₂×C₄×D₄	—	5	2	no	—
665	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
666	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
667	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
668	C₂×#117	—	5	1	no	—
669	C₂×#117	—	5	1	no	—
670	C₂×#117	—	5	1	no	—
671	C₂×#117	—	5	2	no	—
672	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
673	C₂²×C₄⋊C₄	—	5	2	no	—
674	C₂²×C₄⋊C₄	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×C₂²⋊C₄	—	5	2	no	—
680	C₂²×C₄²	—	5	1	no	—
681	C₂³×C₅	—	2	2	no	—
682	C₂³×C₅	—	2	2	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	2	no	—
689	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
690	C₂³×C₅	C₂⁵	1	2	yes	—
691	C₂³×C₅	C₂⁵	1	4	yes	—
692	C₂³×C₅	C₂⁵	1	2	yes	—
693	C₂³×C₅	C₂⁵	1	1	yes	characteristic
694	C₂²×D₅	—	2	4	no	—
695	C₂²×D₅	—	2	4	no	—
696	C₂²×D₅	—	2	2	no	—
697	C₂²×D₅	—	2	4	no	—
698	C₂²×D₅	—	2	4	no	—
699	C₂²×D₅	—	2	4	no	—
700	C₂²×D₅	—	2	4	no	—
701	C₂²×D₅	—	2	4	no	—
702	C₂²×D₅	—	2	2	no	—
703	C₂²×D₅	—	2	2	no	—
704	C₂²×D₅	—	2	4	no	—
705	C₂²×D₅	—	2	16	no	—
706	C₂²×D₅	—	2	16	no	—
707	C₂²×D₅	—	2	16	no	—
708	C₂²×D₅	—	2	16	no	—
709	C₂²×D₅	—	4	8	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	32	no	—
715	C₂²×D₅	—	8	16	no	—
716	C₂²×D₅	—	8	16	no	—
717	C₂²×D₅	C₂×#41	1	8	yes	—
718	C₂²×D₅	C₂⁵	1	2	yes	—
719	C₂²×D₅	C₂⁵	1	4	yes	—
720	C₂²×D₅	C₂⁵	1	4	yes	—
721	C₂²×D₅	C₂⁵	1	4	yes	—
722	C₅×D₄	—	2	8	no	—
723	C₅×D₄	—	2	16	no	—
724	C₅×D₄	—	2	8	no	—
725	C₅×D₄	—	4	8	no	—
726	C₂×C₄×C₅	—	2	2	no	—
727	C₂×C₄×C₅	—	2	2	no	—
728	C₂×C₄×C₅	—	2	2	no	—
729	C₂×C₄×C₅	—	2	4	no	—
730	C₂×C₄×C₅	—	2	4	no	—
731	C₂×C₄×C₅	—	2	4	no	—
732	C₂×C₄×C₅	—	2	2	no	—
733	C₂×C₄×C₅	—	2	8	no	—
734	C₂×C₄×C₅	—	2	8	no	—
735	C₂×C₄×C₅	—	4	8	no	—
736	C₂×C₄×C₅	—	4	8	no	—
737	C₂×C₄×C₅	C₂×#41	1	4	yes	—
738	C₂×C₄×C₅	C₂⁵	1	2	yes	—
739	C₂×C₄×C₅	C₂⁵	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	2	yes	—
743	C₂×C₄×C₅	C₂⁵	1	4	yes	—
744	C₂×C₄×C₅	C₂⁵	1	4	yes	—
745	C₂×C₄×C₅	C₂⁵	1	2	yes	—
746	C₂²⋊D₅	—	2	8	no	—
747	C₂²⋊D₅	—	2	16	no	—
748	C₂²⋊D₅	—	2	16	no	—
749	C₂²⋊D₅	—	2	16	no	—
750	C₂²⋊D₅	—	2	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	C₂×Dic₅	—	2	2	no	—
756	C₂×Dic₅	—	2	2	no	—
757	C₂×Dic₅	—	2	2	no	—
758	C₂×Dic₅	—	2	4	no	—
759	C₂×Dic₅	—	2	2	no	—
760	C₂×Dic₅	—	2	2	no	—
761	C₂×Dic₅	—	2	2	no	—
762	C₂×Dic₅	—	2	8	no	—
763	C₂×Dic₅	—	2	8	no	—
764	C₂×Dic₅	—	4	8	no	—
765	C₂×Dic₅	H(5,𝔽₂)	1	4	yes	—
766	C₂×Dic₅	C₂⁵	1	2	yes	—
767	C₂×Dic₅	C₂⁵	1	2	yes	—
768	C₂×Dic₅	C₂⁵	1	2	yes	—
769	C₂×Dic₅	C₂⁵	1	2	yes	—
770	C₂×Dic₅	C₂⁵	1	2	yes	—
771	C₂×Dic₅	C₂⁵	1	2	yes	—
772	C₂×Dic₅	C₂⁵	1	4	yes	—
773	C₂×Dic₅	C₂⁵	1	2	yes	—
774	D₂₀	—	2	16	no	—
775	D₂₀	—	2	16	no	—
776	D₂₀	—	2	8	no	—
777	D₂₀	—	2	8	no	—
778	D₂₀	—	4	8	no	—
779	D₂₀	—	4	8	no	—
780	D₂₀	—	4	8	no	—
781	D₂₀	—	4	8	no	—
782	D₂₀	C₂×#41	1	16	yes	complemented
783	C₄×D₅	—	2	8	no	—
784	C₄×D₅	—	2	16	no	—
785	C₄×D₅	—	2	16	no	—
786	C₄×D₅	—	4	8	no	—
787	C₄×D₅	—	4	8	no	—
788	C₄×D₅	—	4	8	no	—
789	C₄×D₅	—	4	8	no	—
790	C₄×D₅	—	4	8	no	—
791	C₄×D₅	—	4	8	no	—
792	Dic₁₀	—	2	8	no	—
793	Dic₁₀	—	4	8	no	—
794	C₂⁵	—	5	2	no	—
795	C₂⁵	—	5	2	no	—
796	C₂⁵	—	5	2	no	—
797	C₂×#41	—	5	16	no	—
798	C₂×#41	—	5	16	no	—
799	C₂×#41	—	20	8	no	—
800	C₂×#41	—	20	8	no	—
801	C₂²×Q₈	—	5	1	no	—
802	C₂²×Q₈	—	5	2	no	—
803	C₂²×D₄	—	5	2	no	—
804	C₂²×D₄	—	5	2	no	—
805	C₂²×D₄	—	5	1	no	—
806	C₂²×D₄	—	5	1	no	—
807	C₂²×D₄	—	5	2	no	—
808	C₂²×D₄	—	5	2	no	—
809	C₂²×D₄	—	5	2	no	—
810	C₂²×D₄	—	5	2	no	—
811	C₂²×D₄	—	5	2	no	—
812	C₂²×D₄	—	5	8	no	—
813	C₂²×D₄	—	5	16	no	—
814	C₂²×D₄	—	5	16	no	—
815	C₂²×D₄	—	5	16	no	—
816	C₂²×D₄	—	5	1	no	—
817	C₂²×D₄	—	5	2	no	—
818	C₂²×D₄	—	5	2	no	—
819	C₂²×D₄	—	5	1	no	—
820	C₂²×D₄	—	5	1	no	—
821	C₂²×D₄	—	5	8	no	—
822	C₂²×D₄	—	5	8	no	—
823	C₂²×D₄	—	5	2	no	—
824	C₂²×D₄	—	5	2	no	—
825	C₂²×D₄	—	5	2	no	—
826	C₂²×D₄	—	5	2	no	—
827	C₂²×D₄	—	10	8	no	—
828	C₂²×D₄	—	10	8	no	—
829	C₂²×D₄	—	10	8	no	—
830	C₂²×D₄	—	20	8	no	—
831	C₂²×D₄	—	20	8	no	—
832	C₂²×D₄	—	20	8	no	—
833	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
834	C₂²×D₄	C₂²×D₅	1	2	yes	—
835	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
836	C₂²×D₄	C₂²×D₅	1	2	yes	—
837	C₂³×C₄	—	5	1	no	—
838	C₂³×C₄	—	5	1	no	—
839	C₂³×C₄	—	5	2	no	—
840	C₂³×C₄	—	5	2	no	—
841	C₂³×C₄	—	5	1	no	—
842	C₂³×C₄	—	5	2	no	—
843	C₂³×C₄	—	5	2	no	—
844	C₂³×C₄	—	5	2	no	—
845	C₂³×C₄	—	5	2	no	—
846	C₂³×C₄	—	5	2	no	—
847	C₂³×C₄	—	5	2	no	—
848	C₂³×C₄	—	5	2	no	—
849	C₂³×C₄	—	5	16	no	—
850	C₂³×C₄	—	20	8	no	—
851	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
852	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
853	C₂³×C₄	C₂²×D₅	1	2	yes	—
854	C₂³×C₄	C₂²×D₅	1	2	yes	—
855	C₄⋊Q₈	—	5	8	no	—
856	#127	—	5	8	no	—
857	#127	—	5	8	no	—
858	#127	—	5	8	no	—
859	#126	—	5	8	no	—
860	#126	—	5	16	no	—
861	#126	—	5	8	no	—
862	#126	C₂²×D₅	1	16	yes	complemented
863	#125	—	5	8	no	—
864	#125	—	5	8	no	—
865	#125	C₂²×D₅	1	8	yes	complemented
866	#124	—	5	8	no	—
867	#124	—	5	16	no	—
868	#124	—	5	16	no	—
869	#124	—	5	16	no	—
870	#123	—	5	8	no	—
871	#123	—	5	16	no	—
872	#123	—	5	16	no	—
873	#123	—	5	16	no	—
874	#123	—	5	16	no	—
875	#123	—	5	8	no	—
876	#123	—	5	16	no	—
877	#123	C₂²×D₅	1	16	yes	complemented
878	C₂²⋊Q₈	—	5	16	no	—
879	C₂²⋊Q₈	—	5	16	no	—
880	C₂²⋊Q₈	—	5	16	no	—
881	C₂²⋊Q₈	—	5	8	no	—
882	#121	—	5	8	no	—
883	#121	—	5	16	no	—
884	#121	—	5	16	no	—
885	#121	—	5	16	no	—
886	#121	—	5	16	no	—
887	#121	—	5	8	no	—
888	#121	—	5	16	no	—
889	#121	—	5	8	no	—
890	#121	—	5	16	no	—
891	#121	—	5	16	no	—
892	#121	—	5	8	no	—
893	#121	—	5	8	no	—
894	#121	—	5	16	no	—
895	#121	—	5	16	no	—
896	#121	—	5	16	no	—
897	#121	—	5	16	no	—
898	#121	—	5	16	no	—
899	#121	—	5	16	no	—
900	#121	C₂²×D₅	1	16	yes	complemented
901	#121	C₂²×D₅	1	8	yes	complemented
902	#121	C₂²×D₅	1	8	yes	complemented
903	#120	—	5	16	no	—
904	#120	—	5	16	no	—
905	#120	—	5	16	no	—
906	#120	—	5	16	no	—
907	#120	—	5	16	no	—
908	#120	—	5	16	no	—
909	C₄×Q₈	—	5	8	no	—
910	C₄×D₄	—	5	8	no	—
911	C₄×D₄	—	5	16	no	—
912	C₄×D₄	—	5	16	no	—
913	C₄×D₄	—	5	8	no	—
914	C₄×D₄	—	5	8	no	—
915	C₄×D₄	—	5	8	no	—
916	C₄×D₄	—	5	16	no	—
917	C₄×D₄	—	5	8	no	—
918	C₄×D₄	—	5	8	no	—
919	C₄×D₄	—	5	16	no	—
920	C₄×D₄	—	5	8	no	—
921	C₄×D₄	—	5	8	no	—
922	C₄×D₄	—	5	8	no	—
923	C₄×D₄	—	5	8	no	—
924	C₄×D₄	—	5	16	no	—
925	C₄×D₄	—	5	16	no	—
926	C₄×D₄	—	5	16	no	—
927	C₄×D₄	—	5	8	no	—
928	C₄×D₄	—	5	16	no	—
929	C₄×D₄	C₂²×D₅	1	8	yes	complemented
930	C₄×D₄	C₂²×D₅	1	16	yes	complemented
931	C₄×D₄	C₂²×D₅	1	8	yes	complemented
932	#117	—	5	8	no	—
933	#117	—	5	8	no	—
934	#117	—	5	8	no	—
935	#117	—	5	16	no	—
936	#117	C₂²×D₅	1	8	yes	complemented
937	C₂×C₄⋊C₄	—	5	1	no	—
938	C₂×C₄⋊C₄	—	5	2	no	—
939	C₂×C₄⋊C₄	—	5	2	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	1	no	—
946	C₂×C₄⋊C₄	—	5	1	no	—
947	C₂×C₄⋊C₄	—	5	2	no	—
948	C₂×C₄⋊C₄	—	5	1	no	—
949	C₂×C₄⋊C₄	—	5	1	no	—
950	C₂×C₄⋊C₄	—	5	16	no	—
951	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
952	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
955	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
958	C₂×C₄⋊C₄	C₂²×D₅	1	8	yes	complemented
959	C₂×C₂²⋊C₄	—	5	1	no	—
960	C₂×C₂²⋊C₄	—	5	1	no	—
961	C₂×C₂²⋊C₄	—	5	2	no	—
962	C₂×C₂²⋊C₄	—	5	1	no	—
963	C₂×C₂²⋊C₄	—	5	1	no	—
964	C₂×C₂²⋊C₄	—	5	2	no	—
965	C₂×C₂²⋊C₄	—	5	1	no	—
966	C₂×C₂²⋊C₄	—	5	1	no	—
967	C₂×C₂²⋊C₄	—	5	2	no	—
968	C₂×C₂²⋊C₄	—	5	2	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	16	no	—
977	C₂×C₂²⋊C₄	—	5	2	no	—
978	C₂×C₂²⋊C₄	—	5	2	no	—
979	C₂×C₂²⋊C₄	—	5	1	no	—
980	C₂×C₂²⋊C₄	—	5	1	no	—
981	C₂×C₂²⋊C₄	—	5	2	no	—
982	C₂×C₂²⋊C₄	—	5	2	no	—
983	C₂×C₂²⋊C₄	—	5	16	no	—
984	C₂×C₂²⋊C₄	—	5	16	no	—
985	C₂×C₂²⋊C₄	—	5	16	no	—
986	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
987	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
988	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
989	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
992	C₂×C₄²	—	5	1	no	—
993	C₂×C₄²	—	5	2	no	—
994	C₂×C₄²	—	5	1	no	—
995	C₂×C₄²	—	5	1	no	—
996	C₂×C₄²	—	5	1	no	—
997	C₂×C₄²	—	5	1	no	—
998	C₂×C₄²	—	5	8	no	—
999	C₂×C₄²	C₂²×D₅	1	2	yes	—
1000	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1001	C₂²×C₅	—	2	2	no	—
1002	C₂²×C₅	—	2	2	no	—
1003	C₂²×C₅	—	2	8	no	—
1004	C₂²×C₅	—	2	4	no	—
1005	C₂²×C₅	—	2	2	no	—
1006	C₂²×C₅	—	2	4	no	—
1007	C₂²×C₅	—	2	4	no	—
1008	C₂²×C₅	—	2	2	no	—
1009	C₂²×C₅	—	2	2	no	—
1010	C₂²×C₅	—	4	4	no	—
1011	C₂²×C₅	—	4	8	no	—
1012	C₂²×C₅	C₂²×#41	1	2	yes	—
1013	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1014	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1015	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1016	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1017	C₂×D₅	—	2	4	no	—
1018	C₂×D₅	—	2	4	no	—
1019	C₂×D₅	—	2	16	no	—
1020	C₂×D₅	—	2	2	no	—
1021	C₂×D₅	—	2	4	no	—
1022	C₂×D₅	—	2	4	no	—
1023	C₂×D₅	—	2	4	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	32	no	—
1030	C₂×D₅	—	4	8	no	—
1031	C₂×D₅	—	4	8	no	—
1032	C₂×D₅	—	4	4	no	—
1033	C₂×D₅	—	8	16	no	—
1034	C₂×D₅	—	8	16	no	—
1035	C₂×D₅	C₂²×#41	1	8	yes	—
1036	C₄×C₅	—	2	2	no	—
1037	C₄×C₅	—	2	2	no	—
1038	C₄×C₅	—	2	2	no	—
1039	C₄×C₅	—	2	4	no	—
1040	C₄×C₅	—	2	4	no	—
1041	C₄×C₅	—	2	4	no	—
1042	C₄×C₅	—	2	2	no	—
1043	C₄×C₅	C₂²×#41	1	4	yes	—
1044	Dic₅	—	2	2	no	—
1045	Dic₅	—	2	2	no	—
1046	Dic₅	—	2	2	no	—
1047	Dic₅	—	2	4	no	—
1048	Dic₅	—	2	2	no	—
1049	Dic₅	—	2	2	no	—
1050	Dic₅	—	2	2	no	—
1051	Dic₅	C₂×H(5,𝔽₂)	1	4	yes	—
1052	C₂⁴	—	5	2	no	—
1053	C₂⁴	—	5	1	no	—
1054	C₂⁴	—	5	2	no	—
1055	C₂⁴	—	5	2	no	—
1056	C₂⁴	—	5	8	no	—
1057	C₂⁴	—	5	8	no	—
1058	C₂⁴	—	5	8	no	—
1059	C₂⁴	—	10	8	no	—
1060	C₂⁴	—	10	8	no	—
1061	C₂⁴	—	10	8	no	—
1062	C₂⁴	—	10	8	no	—
1063	C₂⁴	—	20	4	no	—
1064	C₂⁴	—	20	4	no	—
1065	C₂⁴	—	20	4	no	—
1066	C₂⁴	—	20	4	no	—
1067	C₂⁴	—	20	4	no	—
1068	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1069	C₂⁴	C₂³×D₅	1	2	yes	—
1070	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1071	#41	—	20	32	no	—
1072	#41	—	20	32	no	—
1073	C₂×Q₈	—	5	4	no	—
1074	C₂×Q₈	—	5	8	no	—
1075	C₂×Q₈	—	10	4	no	—
1076	C₂×Q₈	—	20	4	no	—
1077	C₂×D₄	—	2	4	no	—
1078	C₂×D₄	—	2	8	no	—
1079	C₂×D₄	—	2	4	no	—
1080	C₂×D₄	—	4	4	no	—
1081	C₂×D₄	—	5	8	no	—
1082	C₂×D₄	—	5	8	no	—
1083	C₂×D₄	—	5	4	no	—
1084	C₂×D₄	—	5	4	no	—
1085	C₂×D₄	—	5	8	no	—
1086	C₂×D₄	—	5	8	no	—
1087	C₂×D₄	—	5	8	no	—
1088	C₂×D₄	—	5	8	no	—
1089	C₂×D₄	—	5	8	no	—
1090	C₂×D₄	—	5	8	no	—
1091	C₂×D₄	—	5	4	no	—
1092	C₂×D₄	—	5	8	no	—
1093	C₂×D₄	—	5	8	no	—
1094	C₂×D₄	—	5	4	no	—
1095	C₂×D₄	—	5	4	no	—
1096	C₂×D₄	—	5	8	no	—
1097	C₂×D₄	—	5	8	no	—
1098	C₂×D₄	—	5	8	no	—
1099	C₂×D₄	—	5	8	no	—
1100	C₂×D₄	—	10	32	no	—
1101	C₂×D₄	—	10	32	no	—
1102	C₂×D₄	—	10	8	no	—
1103	C₂×D₄	—	10	8	no	—
1104	C₂×D₄	—	10	4	no	—
1105	C₂×D₄	—	10	8	no	—
1106	C₂×D₄	—	10	32	no	—
1107	C₂×D₄	—	10	8	no	—
1108	C₂×D₄	—	10	4	no	—
1109	C₂×D₄	—	10	8	no	—
1110	C₂×D₄	—	10	4	no	—
1111	C₂×D₄	—	10	4	no	—
1112	C₂×D₄	—	20	4	no	—
1113	C₂×D₄	—	20	4	no	—
1114	C₂×D₄	—	20	4	no	—
1115	C₂×D₄	—	20	4	no	—
1116	C₂×D₄	—	20	32	no	—
1117	C₂×D₄	—	20	4	no	—
1118	C₂×D₄	—	20	4	no	—
1119	C₂×D₄	—	20	4	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	8	yes	—
1125	C₂×D₄	C₂³×D₅	1	4	yes	—
1126	C₂×D₄	C₂³×D₅	1	8	yes	—
1127	C₂²×C₄	—	2	4	no	—
1128	C₂²×C₄	—	2	4	no	—
1129	C₂²×C₄	—	4	4	no	—
1130	C₂²×C₄	—	4	4	no	—
1131	C₂²×C₄	—	5	1	no	—
1132	C₂²×C₄	—	5	4	no	—
1133	C₂²×C₄	—	5	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	1	no	—
1140	C₂²×C₄	—	5	1	no	—
1141	C₂²×C₄	—	5	8	no	—
1142	C₂²×C₄	—	5	8	no	—
1143	C₂²×C₄	—	5	4	no	—
1144	C₂²×C₄	—	5	8	no	—
1145	C₂²×C₄	—	5	8	no	—
1146	C₂²×C₄	—	5	8	no	—
1147	C₂²×C₄	—	5	8	no	—
1148	C₂²×C₄	—	5	8	no	—
1149	C₂²×C₄	—	5	8	no	—
1150	C₂²×C₄	—	5	8	no	—
1151	C₂²×C₄	—	10	8	no	—
1152	C₂²×C₄	—	10	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	4	no	—
1159	C₂²×C₄	—	20	4	no	—
1160	C₂²×C₄	—	20	4	no	—
1161	C₂²×C₄	—	20	4	no	—
1162	C₂²×C₄	—	20	32	no	—
1163	C₂²×C₄	—	20	4	no	—
1164	C₂²×C₄	C₂³×D₅	1	4	yes	—
1165	C₂²×C₄	C₂³×D₅	1	4	yes	—
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	2	yes	—
1171	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₅	1	2	yes	—
1173	C₂²×C₄	C₂³×D₅	1	8	yes	—
1174	C₂²×C₄	C₂³×D₅	1	8	yes	—
1175	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1176	C₄⋊C₄	—	5	4	no	—
1177	C₄⋊C₄	—	5	8	no	—
1178	C₄⋊C₄	—	5	8	no	—
1179	C₄⋊C₄	—	5	4	no	—
1180	C₄⋊C₄	—	5	4	no	—
1181	C₄⋊C₄	—	5	4	no	—
1182	C₄⋊C₄	—	5	4	no	—
1183	C₄⋊C₄	—	5	4	no	—
1184	C₄⋊C₄	—	5	4	no	—
1185	C₄⋊C₄	—	5	4	no	—
1186	C₄⋊C₄	—	5	8	no	—
1187	C₄⋊C₄	—	5	4	no	—
1188	C₄⋊C₄	—	5	4	no	—
1189	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1190	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1191	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1192	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1193	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1194	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1195	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1196	C₂²⋊C₄	—	5	4	no	—
1197	C₂²⋊C₄	—	5	4	no	—
1198	C₂²⋊C₄	—	5	8	no	—
1199	C₂²⋊C₄	—	5	4	no	—
1200	C₂²⋊C₄	—	5	4	no	—
1201	C₂²⋊C₄	—	5	8	no	—
1202	C₂²⋊C₄	—	5	4	no	—
1203	C₂²⋊C₄	—	5	4	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	8	no	—
1210	C₂²⋊C₄	—	5	8	no	—
1211	C₂²⋊C₄	—	5	8	no	—
1212	C₂²⋊C₄	—	5	8	no	—
1213	C₂²⋊C₄	—	5	8	no	—
1214	C₂²⋊C₄	—	5	4	no	—
1215	C₂²⋊C₄	—	5	4	no	—
1216	C₂²⋊C₄	—	5	8	no	—
1217	C₂²⋊C₄	—	5	8	no	—
1218	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1219	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1220	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1221	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1222	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1223	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1224	C₄²	—	5	4	no	—
1225	C₄²	—	5	4	no	—
1226	C₄²	—	5	4	no	—
1227	C₄²	—	5	4	no	—
1228	C₄²	—	5	8	no	—
1229	C₄²	—	5	4	no	—
1230	C₄²	C₂³×D₅	1	8	yes	—
1231	C₄²	C₂³×D₅	1	4	yes	—
1232	C₂×C₅	—	2	4	no	—
1233	C₂×C₅	—	4	2	no	—
1234	C₂×C₅	—	4	4	no	—
1235	C₂×C₅	#3519	1	4	yes	complemented
1236	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1237	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1238	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1239	D₅	—	2	8	no	—
1240	D₅	—	4	4	no	—
1241	D₅	—	4	4	no	—
1242	D₅	—	4	2	no	—
1243	C₂³	—	2	2	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	2	4	no	—
1247	C₂³	—	2	4	no	—
1248	C₂³	—	2	2	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	5	8	no	—
1252	C₂³	—	5	4	no	—
1253	C₂³	—	5	2	no	—
1254	C₂³	—	5	4	no	—
1255	C₂³	—	5	4	no	—
1256	C₂³	—	10	16	no	—
1257	C₂³	—	10	16	no	—
1258	C₂³	—	10	16	no	—
1259	C₂³	—	10	4	no	—
1260	C₂³	—	10	4	no	—
1261	C₂³	—	10	2	no	—
1262	C₂³	—	10	4	no	—
1263	C₂³	—	10	4	no	—
1264	C₂³	—	10	4	no	—
1265	C₂³	—	10	2	no	—
1266	C₂³	—	10	16	no	—
1267	C₂³	—	10	4	no	—
1268	C₂³	—	10	4	no	—
1269	C₂³	—	10	4	no	—
1270	C₂³	—	10	2	no	—
1271	C₂³	—	20	8	no	—
1272	C₂³	—	20	8	no	—
1273	C₂³	—	20	8	no	—
1274	C₂³	—	20	8	no	—
1275	C₂³	—	20	8	no	—
1276	C₂³	—	20	32	no	—
1277	C₂³	—	40	16	no	—
1278	C₂³	—	40	16	no	—
1279	C₂³	#4149	1	4	yes	—
1280	C₂³	C₂⁴×D₅	1	2	yes	—
1281	C₂³	C₂⁴×D₅	1	4	yes	—
1282	C₂³	C₂⁴×D₅	1	2	yes	—
1283	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1284	Q₈	—	10	8	no	—
1285	Q₈	—	20	8	no	—
1286	D₄	—	2	8	no	—
1287	D₄	—	2	16	no	—
1288	D₄	—	2	8	no	—
1289	D₄	—	4	8	no	—
1290	D₄	—	5	16	no	—
1291	D₄	—	10	16	no	—
1292	D₄	—	10	16	no	—
1293	D₄	—	10	8	no	—
1294	D₄	—	10	16	no	—
1295	D₄	—	10	16	no	—
1296	D₄	—	10	8	no	—
1297	D₄	—	10	16	no	—
1298	D₄	—	10	8	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	8	no	—
1307	D₄	—	20	8	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	4	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	4	no	—
1315	C₂×C₄	—	2	8	no	—
1316	C₂×C₄	—	2	8	no	—
1317	C₂×C₄	—	4	8	no	—
1318	C₂×C₄	—	4	8	no	—
1319	C₂×C₄	—	5	4	no	—
1320	C₂×C₄	—	5	2	no	—
1321	C₂×C₄	—	5	2	no	—
1322	C₂×C₄	—	5	2	no	—
1323	C₂×C₄	—	5	2	no	—
1324	C₂×C₄	—	5	2	no	—
1325	C₂×C₄	—	5	4	no	—
1326	C₂×C₄	—	5	2	no	—
1327	C₂×C₄	—	5	2	no	—
1328	C₂×C₄	—	10	16	no	—
1329	C₂×C₄	—	10	16	no	—
1330	C₂×C₄	—	10	8	no	—
1331	C₂×C₄	—	10	2	no	—
1332	C₂×C₄	—	10	2	no	—
1333	C₂×C₄	—	10	2	no	—
1334	C₂×C₄	—	10	8	no	—
1335	C₂×C₄	—	10	2	no	—
1336	C₂×C₄	—	10	4	no	—
1337	C₂×C₄	—	10	2	no	—
1338	C₂×C₄	—	10	2	no	—
1339	C₂×C₄	—	10	8	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	—	20	8	no	—
1345	C₂×C₄	—	20	8	no	—
1346	C₂×C₄	—	20	8	no	—
1347	C₂×C₄	D₅×#41	1	4	yes	—
1348	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1349	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1350	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1351	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1352	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1353	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1354	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1355	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1356	C₅	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
1357	C₂²	—	2	2	no	—
1358	C₂²	—	2	2	no	—
1359	C₂²	—	2	8	no	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	4	no	—
1362	C₂²	—	2	4	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	4	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	4	4	no	—
1367	C₂²	—	4	8	no	—
1368	C₂²	—	5	8	no	—
1369	C₂²	—	10	4	no	—
1370	C₂²	—	10	4	no	—
1371	C₂²	—	10	16	no	—
1372	C₂²	—	10	2	no	—
1373	C₂²	—	10	4	no	—
1374	C₂²	—	10	4	no	—
1375	C₂²	—	10	4	no	—
1376	C₂²	—	10	2	no	—
1377	C₂²	—	10	4	no	—
1378	C₂²	—	10	4	no	—
1379	C₂²	—	10	4	no	—
1380	C₂²	—	10	2	no	—
1381	C₂²	—	20	32	no	—
1382	C₂²	—	20	8	no	—
1383	C₂²	—	20	4	no	—
1384	C₂²	—	20	8	no	—
1385	C₂²	—	40	16	no	—
1386	C₂²	—	40	16	no	—
1387	C₂²	C₂×D₅×#41	1	2	yes	—
1388	C₂²	C₂×#4149	1	4	yes	—
1389	C₂²	C₂×#4149	1	2	yes	—
1390	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1391	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	4	no	—
1396	C₄	—	2	4	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	4	no	—
1399	C₄	—	5	4	no	—
1400	C₄	—	10	2	no	—
1401	C₄	—	10	2	no	—
1402	C₄	—	10	2	no	—
1403	C₄	—	10	2	no	—
1404	C₄	—	10	4	no	—
1405	C₄	—	10	2	no	—
1406	C₄	—	10	2	no	—
1407	C₄	C₂×D₅×#41	1	4	yes	—
1408	C₂	—	2	4	no	—
1409	C₂	—	4	2	no	—
1410	C₂	—	4	4	no	—
1411	C₂	—	10	8	no	—
1412	C₂	—	20	4	no	—
1413	C₂	—	20	2	no	—
1414	C₂	—	20	4	no	—
1415	C₂	#10618789	1	4	yes	direct product factor
1416	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1417	C₂	C₂²×#4149	1	1	yes	characteristic
1418	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×#553	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#553	D₅
hypocenter	C₅	C₂×#3519
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#553	C₂	semidirect
2. #10618789	C₂	direct (N × H)
3. C₂×#66038	C₂	semidirect
4. C₂×#66043	C₂	semidirect
5. C₂×#66032	C₂	semidirect
6. C₂×#66024	C₂	semidirect
7. C₂×#65988	C₂	semidirect
8. C₂×#65991	C₂	semidirect
9. C₂×#65944	C₂	semidirect
10. C₂×#65943	C₂	semidirect
11. C₂×#65943	C₂	semidirect
12. C₂×D₅×#121	C₂	semidirect
13. C₂×#65953	C₂	semidirect
14. C₂×#65930	C₂	semidirect
15. C₂×#65888	C₂	semidirect
16. C₂×D₄×D₂₀	C₂	semidirect
17. C₂×#65881	C₂	semidirect
18. C₂×#65879	C₂	semidirect
19. C₂×#65887	C₂	semidirect
20. C₂×#65872	C₂	semidirect
21. C₂×#65866	C₂	semidirect
22. C₂×#65855	C₂	semidirect
23. C₂×#65848	C₂	semidirect
24. C₂²×#4039	C₂	semidirect
25. C₂²×#711	C₂²	semidirect
27. C₂²×D₄×D₅	C₂²	semidirect
28. C₂²×D₄×D₅	C₂²	semidirect
29. C₂²×D₄×D₅	C₂²	semidirect
30. C₂²×#709	C₂²	semidirect
33. C₂³×C₄×D₅	C₂²	semidirect
34. C₅×#553	C₂²	semidirect
35. C₂×C₅×#126	C₂²	semidirect
36. C₂×C₅×#125	C₂²	semidirect
37. C₂×C₅×#123	C₂²	semidirect
38. C₂×C₅×#121	C₂²	semidirect
39. C₂×C₅×#121	C₂²	semidirect
40. C₂×C₅×#121	C₂²	semidirect
41. C₂×C₄×C₅×D₄	C₂²	semidirect
42. C₂×C₄×C₅×D₄	C₂²	semidirect
43. C₂×C₄×C₅×D₄	C₂²	semidirect
44. C₂×C₅×#117	C₂²	semidirect
45. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
46. C₂×#4086	C₂²	semidirect
47. C₂×#4086	C₂²	semidirect
49. C₂×#4085	C₂²	semidirect
50. C₂×#4085	C₂²	semidirect
51. C₂×#4084	C₂²	semidirect
52. C₂×#4083	C₂²	semidirect
53. C₂×#4083	C₂²	semidirect
54. C₂×#4081	C₂²	semidirect
55. C₂×D₄×Dic₅	C₂²	semidirect
56. C₂×#4076	C₂²	semidirect
57. C₂×#4076	C₂²	semidirect
58. C₂×#4076	C₂²	semidirect
59. C₂×#4076	C₂²	semidirect
60. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
61. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
62. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
63. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
64. C₂²×#685	C₂²	semidirect
65. C₂²×#685	C₂²	semidirect
66. C₂×#4072	C₂²	semidirect
67. C₂²×C₄×Dic₅	C₂²	semidirect
68. #66043	C₂²	semidirect
69. #66038	C₂²	semidirect
70. #66032	C₂²	semidirect
71. #66024	C₂²	semidirect
72. #65991	C₂²	semidirect
73. #65988	C₂²	semidirect
74. #65953	C₂²	semidirect
75. #65944	C₂²	semidirect
76. #65943	C₂²	semidirect
77. #65943	C₂²	semidirect
78. D₅×#121	C₂²	semidirect
79. #65930	C₂²	semidirect
80. #65888	C₂²	semidirect
81. #65887	C₂²	semidirect
82. D₄×D₂₀	C₂²	semidirect
83. #65881	C₂²	semidirect
84. #65879	C₂²	semidirect
85. #65872	C₂²	semidirect
86. #65866	C₂²	semidirect
87. #65855	C₂²	semidirect
88. #65848	C₂²	semidirect
89. C₂×#4044	C₂²	semidirect
90. C₂×#4044	C₂²	semidirect
91. C₂×#4043	C₂²	semidirect
92. C₂×#4042	C₂²	semidirect
93. C₂×#4042	C₂²	semidirect
94. C₂×#4041	C₂²	semidirect
95. C₂×#4041	C₂²	semidirect
96. C₂×#4041	C₂²	semidirect
97. C₂×#4041	C₂²	semidirect
98. C₂×#4041	C₂²	semidirect
99. C₂×#4040	C₂²	semidirect
100. C₂×#4040	C₂²	semidirect
101. C₂×#4040	C₂²	semidirect
105. C₂×#4039	C₂²	semidirect
106. C₂×#4039	C₂²	semidirect
107. C₂×#4039	C₂²	semidirect
108. C₂×#4039	C₂²	semidirect
109. C₂×#4039	C₂²	semidirect
110. C₂×#4039	C₂²	semidirect
111. C₂×#4039	C₂²	semidirect
112. C₂×#4038	C₂²	semidirect
113. C₂×D₅×C₄⋊C₄	C₂²	semidirect
114. C₂×#4036	C₂²	semidirect
115. C₂×#4035	C₂²	semidirect
116. C₂×#4034	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×#4030	C₂²	semidirect
123. C₂×#4030	C₂²	semidirect
124. C₂×#4030	C₂²	semidirect
125. C₂×#4030	C₂²	semidirect
126. C₂×#4030	C₂²	semidirect
127. C₂×#4029	C₂²	semidirect
128. C₂×#4028	C₂²	semidirect
129. C₂×#4028	C₂²	semidirect
130. C₂×#4028	C₂²	semidirect
131. C₂×#4028	C₂²	semidirect
132. C₂×#4027	C₂²	semidirect
133. C₂×#4027	C₂²	semidirect
134. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
135. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
136. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
137. C₂×#4025	C₂²	semidirect
138. C₂×#4024	C₂²	semidirect
139. C₂×#4021	C₂²	semidirect
140. C₂×#4020	C₂²	semidirect
142. C₂×C₄×D₂₀	C₂²	semidirect
143. C₂×C₄×D₂₀	C₂²	semidirect
144. C₂×#4018	C₂²	semidirect
145. C₂×#4018	C₂²	semidirect
146. C₂×C₄×Dic₁₀	C₂²	semidirect
172. C₂×#711	C₂³	semidirect
178. C₂×D₄×D₅	C₂³	semidirect
179. C₂×D₄×D₅	C₂³	semidirect
180. C₂×D₄×D₅	C₂³	semidirect
182. C₂×#709	C₂³	semidirect
206. C₂²×C₄×D₅	C₂³	semidirect
209. C₅×#126	C₂³	semidirect
210. C₅×#125	C₂³	semidirect
211. C₅×#123	C₂³	semidirect
212. C₅×#121	C₂³	semidirect
213. C₅×#121	C₂³	semidirect
214. C₅×#121	C₂³	semidirect
215. C₄×C₅×D₄	C₂³	semidirect
216. C₄×C₅×D₄	C₂³	semidirect
217. C₄×C₅×D₄	C₂³	semidirect
218. C₅×#117	C₂³	semidirect
226. C₂×C₅×C₄⋊C₄	C₂³	semidirect
240. #4086	C₂³	semidirect
241. #4086	C₂³	semidirect
243. #4085	C₂³	semidirect
244. #4085	C₂³	semidirect
245. #4084	C₂³	semidirect
246. #4083	C₂³	semidirect
247. #4083	C₂³	semidirect
248. #4081	C₂³	semidirect
249. D₄×Dic₅	C₂³	semidirect
250. #4076	C₂³	semidirect
251. #4076	C₂³	semidirect
252. #4076	C₂³	semidirect
253. #4076	C₂³	semidirect
254. C₄×C₂²⋊D₅	C₂³	semidirect
255. C₄×C₂²⋊D₅	C₂³	semidirect
256. C₄×C₂²⋊D₅	C₂³	semidirect
257. C₄×C₂²⋊D₅	C₂³	semidirect
275. C₂×#685	C₂³	semidirect
276. C₂×#685	C₂³	semidirect
277. #4072	C₂³	semidirect
297. C₂×C₄×Dic₅	C₂³	semidirect
298. #4044	C₂³	semidirect
299. #4044	C₂³	semidirect
300. #4043	C₂³	semidirect
301. #4042	C₂³	semidirect
302. #4042	C₂³	semidirect
303. #4041	C₂³	semidirect
304. #4041	C₂³	semidirect
305. #4041	C₂³	semidirect
306. #4041	C₂³	semidirect
307. #4041	C₂³	semidirect
308. #4040	C₂³	semidirect
309. #4040	C₂³	semidirect
310. #4040	C₂³	semidirect
314. #4039	C₂³	semidirect
315. #4039	C₂³	semidirect
316. #4039	C₂³	semidirect
317. #4039	C₂³	semidirect
318. #4039	C₂³	semidirect
319. #4039	C₂³	semidirect
320. #4038	C₂³	semidirect
321. D₅×C₄⋊C₄	C₂³	semidirect
322. #4036	C₂³	semidirect
323. #4035	C₂³	semidirect
324. #4034	C₂³	semidirect
325. #4032	C₂³	semidirect
326. #4032	C₂³	semidirect
327. #4031	C₂³	semidirect
328. #4031	C₂³	semidirect
329. #4031	C₂³	semidirect
330. #4030	C₂³	semidirect
331. #4030	C₂³	semidirect
332. #4030	C₂³	semidirect
333. #4030	C₂³	semidirect
334. #4030	C₂³	semidirect
335. #4029	C₂³	semidirect
336. #4028	C₂³	semidirect
337. #4028	C₂³	semidirect
338. #4028	C₂³	semidirect
339. #4028	C₂³	semidirect
340. #4027	C₂³	semidirect
341. #4027	C₂³	semidirect
342. D₅×C₂²⋊C₄	C₂³	semidirect
343. D₅×C₂²⋊C₄	C₂³	semidirect
344. D₅×C₂²⋊C₄	C₂³	semidirect
345. #4025	C₂³	semidirect
346. #4024	C₂³	semidirect
347. #4021	C₂³	semidirect
348. #4020	C₂³	semidirect
350. C₄×D₂₀	C₂³	semidirect
351. C₄×D₂₀	C₂³	semidirect
352. #4018	C₂³	semidirect
353. #4018	C₂³	semidirect
354. C₄×Dic₁₀	C₂³	semidirect
360. C₂×#553	D₅	semidirect
470. C₂×D₂₀	#41	semidirect
572. #553	C₂×D₅	semidirect
593. C₂×#126	C₂×D₅	semidirect
596. C₂×#125	C₂×D₅	semidirect
609. C₂×#123	C₂×D₅	semidirect
633. C₂×#121	C₂×D₅	semidirect
634. C₂×#121	C₂×D₅	semidirect
635. C₂×#121	C₂×D₅	semidirect
665. C₂×C₄×D₄	C₂×D₅	semidirect
666. C₂×C₄×D₄	C₂×D₅	semidirect
667. C₂×C₄×D₄	C₂×D₅	semidirect
672. C₂×#117	C₂×D₅	semidirect
674. C₂²×C₄⋊C₄	C₂×D₅	semidirect
782. D₂₀	C₂×#41	semidirect
862. #126	C₂²×D₅	semidirect
865. #125	C₂²×D₅	semidirect
877. #123	C₂²×D₅	semidirect
900. #121	C₂²×D₅	semidirect
901. #121	C₂²×D₅	semidirect
902. #121	C₂²×D₅	semidirect
929. C₄×D₄	C₂²×D₅	semidirect
930. C₄×D₄	C₂²×D₅	semidirect
931. C₄×D₄	C₂²×D₅	semidirect
936. #117	C₂²×D₅	semidirect
958. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1235. C₂×C₅	#3519	semidirect
1356. C₅	C₂×#3519	semidirect
1415. C₂	#10618789	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×#553	2
#10618789	2
C₂×#66038	2
C₂×#66043	2
C₂×#66032	2
C₂×#66024	2
C₂×#65988	2
C₂×#65991	2
C₂×#65944	2
C₂×#65943	2
C₂×D₅×#121	2
C₂×#65953	2
C₂×#65930	2
C₂×#65888	2
C₂×D₄×D₂₀	2
C₂×#65881	2
C₂×#65879	2
C₂×#65887	2
C₂×#65872	2
C₂×#65866	2
C₂×#65855	2
C₂×#65848	2
C₂²×#4039	2
C₂×#3519	5

Subgroups — C2×#10618789 #13007294

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618789 #13007294