Subgroups — #13045369

Order 1280.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618691	C₂	1	1	yes	maximal, characteristic
2	#10617355	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617355	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617354	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617353	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617321	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617319	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617301	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617301	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617300	C₂	1	1	yes	maximal, characteristic, complemented
11	#10617299	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617291	C₂	1	1	yes	maximal, characteristic, complemented
13	#10617289	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617279	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617277	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617264	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617261	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617217	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617215	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617168	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617165	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617139	C₂	1	1	yes	maximal, characteristic, complemented
23	#10617138	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617123	C₂	1	1	yes	maximal, characteristic, complemented
25	#10617120	C₂	1	1	yes	maximal, characteristic, complemented
26	#10617111	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅⋊#424	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617060	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#65692	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617055	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65696	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#704	C₂²	1	1	yes	characteristic
33	C₂³×#170	C₂²	1	1	yes	characteristic
34	C₂×#4131	C₂²	1	1	yes	characteristic
35	C₂×#4131	C₂²	1	1	yes	characteristic
36	C₂×D₅⋊M₁₆	C₂²	1	1	yes	characteristic
37	C₂²×D₅⋊C₈	C₂²	1	1	yes	characteristic
38	C₅×#551	C₄	1	1	yes	characteristic
39	#66042	C₄	1	1	yes	characteristic
40	#66040	C₂²	1	1	yes	characteristic
41	#66040	C₂²	1	1	yes	characteristic
42	#66036	C₄	1	1	yes	characteristic
43	#66014	C₂²	1	1	yes	characteristic
44	#66004	C₄	1	1	yes	characteristic
45	#65995	C₄	1	1	yes	characteristic
46	#65990	C₂²	1	1	yes	characteristic
47	#65989	C₄	1	1	yes	characteristic
48	#65984	C₄	1	1	yes	characteristic
49	#65983	C₂²	1	1	yes	characteristic
50	#65983	C₂²	1	1	yes	characteristic
51	#65971	C₄	1	1	yes	characteristic
52	#65970	C₄	1	1	yes	characteristic
53	#65958	C₂²	1	1	yes	characteristic
54	#65956	C₂²	1	1	yes	characteristic
55	#65925	C₄	1	1	yes	characteristic
56	#65920	C₂²	1	1	yes	characteristic
57	#65890	C₄	1	1	yes	characteristic
58	#65874	C₄	1	1	yes	characteristic
59	C₄×#711	C₂²	1	1	yes	characteristic
60	C₄×#711	C₂²	1	1	yes	characteristic
61	#65865	C₄	1	1	yes	characteristic
62	#65865	C₄	1	1	yes	characteristic
63	#65856	C₂²	1	1	yes	characteristic
64	D₅×#117	C₂²	1	1	yes	characteristic
65	#65829	C₄	1	1	yes	characteristic
66	#65824	C₄	1	1	yes	characteristic
67	C₂×#4027	C₂²	1	1	yes	characteristic
68	C₂×#4023	C₂²	1	1	yes	characteristic
69	#65798	C₂²	1	1	yes	characteristic
70	C₂×C₂²⋊#170	C₂²	1	1	yes	characteristic
71	#65788	C₂²	1	1	yes	characteristic, complemented
72	#65788	C₂²	1	1	yes	characteristic, complemented
73	#65788	C₂²	1	1	yes	characteristic, complemented
74	Q₈×#170	C₂²	1	1	yes	characteristic, complemented
75	#65775	C₂²	1	1	yes	characteristic
76	#65775	C₂²	1	1	yes	characteristic
77	#65774	C₂²	1	1	yes	characteristic, complemented
78	#65773	C₂²	1	1	yes	characteristic, complemented
79	#65773	C₂²	1	1	yes	characteristic, complemented
80	#65773	C₂²	1	1	yes	characteristic, complemented
81	#65773	C₂²	1	1	yes	characteristic, complemented
82	D₄×#170	C₂²	1	1	yes	characteristic, complemented
83	D₄×#170	C₂²	1	1	yes	characteristic, complemented
84	D₄×#170	C₂²	1	1	yes	characteristic, complemented
85	#65759	C₂²	1	1	yes	characteristic, complemented
86	#65758	C₂²	1	1	yes	characteristic
87	#65758	C₂²	1	1	yes	characteristic, complemented
88	#65757	C₂²	1	1	yes	characteristic, complemented
89	#65755	C₂²	1	1	yes	characteristic
90	#65754	C₂²	1	1	yes	characteristic, complemented
91	#65754	C₂²	1	1	yes	characteristic, complemented
92	C₂×#4004	C₂²	1	1	yes	characteristic
93	C₂×#4004	C₂²	1	1	yes	characteristic, complemented
94	C₂×#4004	C₂²	1	1	yes	characteristic, complemented
95	C₂×#4004	C₂²	1	1	yes	characteristic, complemented
96	C₂×#4003	C₂²	1	1	yes	characteristic
97	C₄×#704	C₂²	1	1	yes	characteristic
98	#65748	C₂²	1	1	yes	characteristic, complemented
99	#65748	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₄⋊#170	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₄⋊#170	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×#170	C₂²	1	1	yes	characteristic
103	#65709	C₂²	1	1	yes	characteristic, complemented
104	#65708	C₂²	1	1	yes	characteristic, complemented
105	#65708	C₂²	1	1	yes	characteristic, complemented
106	#65708	C₂²	1	1	yes	characteristic, complemented
107	#65708	C₂²	1	1	yes	characteristic, complemented
108	#65708	C₂²	1	1	yes	characteristic, complemented
109	#65708	C₂²	1	1	yes	characteristic, complemented
110	#65707	C₂²	1	1	yes	characteristic, complemented
111	#65707	C₂²	1	1	yes	characteristic, complemented
112	#65707	C₂²	1	1	yes	characteristic, complemented
113	#65707	C₂²	1	1	yes	characteristic, complemented
114	#65707	C₂²	1	1	yes	characteristic, complemented
115	#65707	C₂²	1	1	yes	characteristic, complemented
116	#65706	C₂²	1	1	yes	characteristic, complemented
117	#65706	C₂²	1	1	yes	characteristic, complemented
118	#65706	C₂²	1	1	yes	characteristic, complemented
119	#65706	C₂²	1	1	yes	characteristic, complemented
120	#65706	C₂²	1	1	yes	characteristic, complemented
121	#65706	C₂²	1	1	yes	characteristic, complemented
122	#65705	C₂²	1	1	yes	characteristic, complemented
123	#65704	C₂²	1	1	yes	characteristic, complemented
124	#65704	C₂²	1	1	yes	characteristic, complemented
125	#65704	C₂²	1	1	yes	characteristic, complemented
126	#65704	C₂²	1	1	yes	characteristic, complemented
127	#65703	C₂²	1	1	yes	characteristic, complemented
128	#65703	C₂²	1	1	yes	characteristic, complemented
129	#65703	C₂²	1	1	yes	characteristic, complemented
130	#65703	C₂²	1	1	yes	characteristic, complemented
131	#65703	C₂²	1	1	yes	characteristic, complemented
132	#65702	C₂²	1	1	yes	characteristic, complemented
133	#65702	C₂²	1	1	yes	characteristic, complemented
134	#65702	C₂²	1	1	yes	characteristic, complemented
135	#65697	C₂²	1	1	yes	characteristic, complemented
136	#65697	C₂²	1	1	yes	characteristic, complemented
137	#65697	C₂²	1	1	yes	characteristic, complemented
138	#65697	C₂²	1	1	yes	characteristic, complemented
139	#65697	C₂²	1	1	yes	characteristic, complemented
140	#65697	C₂²	1	1	yes	characteristic, complemented
141	#65696	C₂²	1	1	yes	characteristic
142	#65696	C₂²	1	1	yes	characteristic
143	#65696	C₂²	1	1	yes	characteristic
144	#65696	C₂²	1	1	yes	characteristic
145	#65696	C₂²	1	1	yes	characteristic
146	#65696	C₂²	1	1	yes	characteristic
147	#65696	C₂²	1	1	yes	characteristic
148	#65696	C₂²	1	1	yes	characteristic
149	#65696	C₂²	1	1	yes	characteristic, complemented
150	#65696	C₂²	1	1	yes	characteristic, complemented
151	#65696	C₂²	1	1	yes	characteristic, complemented
152	#65696	C₂²	1	1	yes	characteristic, complemented
153	#65696	C₂²	1	1	yes	characteristic, complemented
154	#65696	C₂²	1	1	yes	characteristic, complemented
155	#65695	C₂²	1	1	yes	characteristic
156	#65695	C₂²	1	1	yes	characteristic
157	#65695	C₂²	1	1	yes	characteristic, complemented
158	#65695	C₂²	1	1	yes	characteristic, complemented
159	#65694	C₂²	1	1	yes	characteristic
160	#65694	C₂²	1	1	yes	characteristic
161	#65694	C₂²	1	1	yes	characteristic, complemented
162	#65694	C₂²	1	1	yes	characteristic, complemented
163	#65694	C₂²	1	1	yes	characteristic, complemented
164	#65694	C₂²	1	1	yes	characteristic, complemented
165	#65693	C₂²	1	1	yes	characteristic
166	#65693	C₂²	1	1	yes	characteristic
167	#65693	C₂²	1	1	yes	characteristic, complemented
168	#65693	C₂²	1	1	yes	characteristic, complemented
169	#65693	C₂²	1	1	yes	characteristic, complemented
170	#65693	C₂²	1	1	yes	characteristic, complemented
171	#65692	C₂²	1	1	yes	characteristic
172	#65692	C₂²	1	1	yes	characteristic
173	#65692	C₂²	1	1	yes	characteristic
174	#65692	C₂²	1	1	yes	characteristic
175	#65692	C₂²	1	1	yes	characteristic
176	#65692	C₂²	1	1	yes	characteristic
177	#65692	C₂²	1	1	yes	characteristic
178	#65692	C₂²	1	1	yes	characteristic
179	#65692	C₂²	1	1	yes	characteristic
180	#65692	C₂²	1	1	yes	characteristic
181	#65692	C₂²	1	1	yes	characteristic, complemented
182	#65692	C₂²	1	1	yes	characteristic, complemented
183	#65692	C₂²	1	1	yes	characteristic, complemented
184	#65692	C₂²	1	1	yes	characteristic, complemented
185	#65692	C₂²	1	1	yes	characteristic, complemented
186	#65692	C₂²	1	1	yes	characteristic, complemented
187	#65691	C₂²	1	1	yes	characteristic
188	#65691	C₂²	1	1	yes	characteristic
189	#65691	C₂²	1	1	yes	characteristic
190	#65691	C₂²	1	1	yes	characteristic
191	#65684	C₂²	1	1	yes	characteristic, complemented
192	#65683	C₂²	1	1	yes	characteristic, complemented
193	#65682	C₂²	1	1	yes	characteristic, complemented
194	#65680	C₂²	1	1	yes	characteristic, complemented
195	#65680	C₂²	1	1	yes	characteristic, complemented
196	D₅⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
197	D₅⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
198	D₅⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
199	D₅⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
200	D₅⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
201	#65678	C₂²	1	1	yes	characteristic, complemented
202	#65678	C₂²	1	1	yes	characteristic, complemented
203	#60271	—	5	1	no	maximal, Sylow
204	C₂²×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
205	C₂³×Dic₅	C₂³	1	1	yes	characteristic
206	C₂×#711	C₂×C₄	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×#709	C₂×C₄	1	1	yes	characteristic
209	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×#704	—	4	2	no	—
211	C₂×#704	C₂³	1	1	yes	characteristic
212	C₂×#704	C₂³	1	1	yes	characteristic
213	C₂×#704	C₂³	1	1	yes	characteristic
214	C₂×#704	C₂³	1	1	yes	characteristic
215	C₂×#704	C₂³	1	1	yes	characteristic
216	C₂×#704	C₂³	1	1	yes	characteristic
217	C₂×#704	C₂³	1	1	yes	characteristic
218	C₂×#704	C₂³	1	1	yes	characteristic
219	C₂²×#170	—	4	2	no	—
220	C₂²×#170	C₂³	1	1	yes	characteristic
221	C₂²×#170	C₂³	1	1	yes	characteristic
222	C₂²×#170	C₂³	1	1	yes	characteristic
223	C₂²×#170	C₂³	1	1	yes	characteristic
224	C₂²×#170	C₂³	1	1	yes	characteristic
225	C₂²×#170	C₂³	1	1	yes	characteristic
226	C₂²×#170	C₂³	1	1	yes	characteristic
227	C₂²×#170	C₂³	1	1	yes	characteristic
228	C₂²×#170	C₂³	1	1	yes	characteristic
229	C₂²×#170	C₂³	1	1	yes	characteristic
230	C₂²×#170	C₂³	1	1	yes	characteristic
231	C₂²×#170	C₂³	1	1	yes	characteristic
232	#4131	—	4	2	no	—
233	#4131	—	4	2	no	—
234	D₅⋊M₁₆	—	4	2	no	—
235	C₂×#700	C₂³	1	1	yes	characteristic
236	C₂×#700	C₂³	1	1	yes	characteristic
237	C₂×#700	C₂³	1	1	yes	characteristic
238	C₂×#700	C₂³	1	1	yes	characteristic
239	C₂×D₅⋊C₈	—	4	2	no	—
240	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
241	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
242	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
243	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
244	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
245	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
246	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
247	C₂×D₅⋊C₈	C₂³	1	1	yes	characteristic
248	C₅×#126	C₂×C₄	1	1	yes	characteristic
249	C₅×#126	C₂×C₄	1	1	yes	characteristic
250	C₅×#124	C₂×C₄	1	1	yes	characteristic
251	C₅×#123	C₂×C₄	1	1	yes	characteristic
252	C₅×#123	C₂×C₄	1	1	yes	characteristic
253	C₅×#123	C₂×C₄	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
255	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
256	C₅×#120	C₂×C₄	1	1	yes	characteristic
257	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
258	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
259	C₅×#117	C₂×C₄	1	1	yes	characteristic
260	C₅×#117	C₂×C₄	1	1	yes	characteristic
261	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
262	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
263	#4099	C₂×C₄	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
265	#4093	C₂×C₄	1	1	yes	characteristic
266	#4092	C₂×C₄	1	1	yes	characteristic
267	Q₈×Dic₅	C₂³	1	1	yes	characteristic
268	#4090	C₂×C₄	1	1	yes	characteristic
269	#4085	C₂×C₄	1	1	yes	characteristic
270	#4085	C₂×C₄	1	1	yes	characteristic
271	#4085	C₂×C₄	1	1	yes	characteristic
272	#4085	C₂×C₄	1	1	yes	characteristic
273	#4084	C₂×C₄	1	1	yes	characteristic
274	#4083	C₂×C₄	1	1	yes	characteristic
275	#4081	C₂×C₄	1	1	yes	characteristic
276	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
277	D₄×Dic₅	C₂³	1	1	yes	characteristic
278	D₄×Dic₅	C₂³	1	1	yes	characteristic
279	#4076	C₂×C₄	1	1	yes	characteristic
280	#4075	C₂×C₄	1	1	yes	characteristic
281	#4075	C₂×C₄	1	1	yes	characteristic
282	#4075	C₂×C₄	1	1	yes	characteristic
283	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
284	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
285	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
286	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
287	C₂×#685	C₂×C₄	1	1	yes	characteristic
288	#4072	C₂×C₄	1	1	yes	characteristic
289	#4070	C₂×C₄	1	1	yes	characteristic
290	C₂×#683	C₂×C₄	1	1	yes	characteristic
291	C₂×#683	C₂×C₄	1	1	yes	characteristic
292	C₂×#683	C₂×C₄	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
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	#4044	C₂×C₄	1	1	yes	characteristic
298	#4044	C₂×C₄	1	1	yes	characteristic
299	#4044	C₂×C₄	1	1	yes	characteristic
300	#4044	C₂×C₄	1	1	yes	characteristic
301	#4042	C₂×C₄	1	1	yes	characteristic
302	#4042	C₂×C₄	1	1	yes	characteristic
303	#4042	C₂×C₄	1	1	yes	characteristic
304	#4042	C₂×C₄	1	1	yes	characteristic
305	#4040	C₂×C₄	1	1	yes	characteristic
306	#4040	C₂×C₄	1	1	yes	characteristic
307	#4039	C₂×C₄	1	1	yes	characteristic
308	#4039	C₂³	1	1	yes	characteristic
309	#4039	C₂³	1	1	yes	characteristic
310	#4038	C₂×C₄	1	1	yes	characteristic
311	#4038	C₂³	1	1	yes	characteristic
312	#4038	C₂³	1	1	yes	characteristic
313	#4038	C₂³	1	1	yes	characteristic
314	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
315	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
316	#4036	C₂×C₄	1	1	yes	characteristic
317	#4035	C₂×C₄	1	1	yes	characteristic
318	#4035	C₂×C₄	1	1	yes	characteristic
319	#4035	C₂×C₄	1	1	yes	characteristic
320	#4035	C₂×C₄	1	1	yes	characteristic
321	#4035	C₂×C₄	1	1	yes	characteristic
322	#4035	C₂×C₄	1	1	yes	characteristic
323	#4034	C₂×C₄	1	1	yes	characteristic
324	#4033	C₂×C₄	1	1	yes	characteristic
325	#4033	C₂×C₄	1	1	yes	characteristic
326	#4033	C₂³	1	1	yes	characteristic
327	#4033	C₂³	1	1	yes	characteristic
328	#4033	C₂³	1	1	yes	characteristic
329	#4032	C₂×C₄	1	1	yes	characteristic
330	#4032	C₂×C₄	1	1	yes	characteristic
331	#4032	C₂×C₄	1	1	yes	characteristic
332	#4031	C₂×C₄	1	1	yes	characteristic
333	#4031	C₂×C₄	1	1	yes	characteristic
334	#4031	C₂×C₄	1	1	yes	characteristic
335	#4031	C₂×C₄	1	1	yes	characteristic
336	#4030	C₂×C₄	1	1	yes	characteristic
337	#4030	C₂×C₄	1	1	yes	characteristic
338	#4030	C₂×C₄	1	1	yes	characteristic
339	#4030	C₂×C₄	1	1	yes	characteristic
340	#4029	C₂×C₄	1	1	yes	characteristic
341	#4029	C₂×C₄	1	1	yes	characteristic
342	#4029	C₂×C₄	1	1	yes	characteristic
343	#4029	C₂×C₄	1	1	yes	characteristic
344	#4028	C₂×C₄	1	1	yes	characteristic
345	#4027	C₂×C₄	1	1	yes	characteristic
346	#4027	C₂×C₄	1	1	yes	characteristic
347	#4027	C₂×C₄	1	1	yes	characteristic
348	#4027	C₂×C₄	1	1	yes	characteristic
349	#4027	C₂×C₄	1	1	yes	characteristic
350	#4027	C₂×C₄	1	1	yes	characteristic
351	#4027	C₂×C₄	1	1	yes	characteristic
352	#4027	C₂×C₄	1	1	yes	characteristic
353	#4027	C₂³	1	1	yes	characteristic
354	#4027	C₂³	1	1	yes	characteristic
355	#4027	C₂³	1	1	yes	characteristic
356	#4027	C₂³	1	1	yes	characteristic
357	#4027	C₂³	1	1	yes	characteristic
358	#4027	C₂³	1	1	yes	characteristic
359	#4027	C₂³	1	1	yes	characteristic
360	#4027	C₂³	1	1	yes	characteristic
361	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
362	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
363	#4025	C₂×C₄	1	1	yes	characteristic
364	#4025	C₂×C₄	1	1	yes	characteristic
365	#4025	C₂×C₄	1	1	yes	characteristic
366	#4025	C₂×C₄	1	1	yes	characteristic
367	#4024	C₂×C₄	1	1	yes	characteristic
368	#4024	C₂×C₄	1	1	yes	characteristic
369	#4024	C₂×C₄	1	1	yes	characteristic
370	#4024	C₂×C₄	1	1	yes	characteristic
371	#4024	C₂×C₄	1	1	yes	characteristic
372	#4024	C₂×C₄	1	1	yes	characteristic
373	#4023	C₂×C₄	1	1	yes	characteristic
374	#4023	C₂×C₄	1	1	yes	characteristic
375	#4023	C₂×C₄	1	1	yes	characteristic
376	#4023	C₂×C₄	1	1	yes	characteristic
377	#4023	C₂×C₄	1	1	yes	characteristic
378	#4023	C₂×C₄	1	1	yes	characteristic
379	#4023	C₂³	1	1	yes	characteristic
380	#4023	C₂³	1	1	yes	characteristic
381	#4023	C₂³	1	1	yes	characteristic
382	#4023	C₂³	1	1	yes	characteristic
383	#4023	C₂³	1	1	yes	characteristic
384	#4023	C₂³	1	1	yes	characteristic
385	#4022	C₂×C₄	1	1	yes	characteristic
386	#4022	C₂×C₄	1	1	yes	characteristic
387	#4018	C₂×C₄	1	1	yes	characteristic
388	#4018	C₂×C₄	1	1	yes	characteristic
389	#4018	C₂×C₄	1	1	yes	characteristic
390	#4018	C₂×C₄	1	1	yes	characteristic
391	C₄²×D₅	C₂³	1	1	yes	characteristic
392	C₄²×D₅	C₂³	1	1	yes	characteristic
393	C₄²×D₅	C₂³	1	1	yes	characteristic
394	#4016	C₂×C₄	1	1	yes	characteristic
395	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
396	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
397	C₂²⋊#170	C₂³	1	1	yes	characteristic
398	C₂²⋊#170	C₂³	1	1	yes	characteristic
399	C₂²⋊#170	C₂³	1	1	yes	characteristic
400	C₂²⋊#170	C₂³	1	1	yes	characteristic
401	C₂²⋊#170	C₂³	1	1	yes	characteristic
402	C₂²⋊#170	C₂³	1	1	yes	characteristic
403	C₂²⋊#170	C₂³	1	1	yes	characteristic
404	C₂²⋊#170	C₂³	1	1	yes	characteristic
405	C₂²⋊#170	C₂³	1	1	yes	characteristic
406	C₂²⋊#170	C₂³	1	1	yes	characteristic
407	C₂²⋊#170	C₂³	1	1	yes	characteristic
408	C₂²⋊#170	C₂³	1	1	yes	characteristic
409	#4004	C₂³	1	1	yes	characteristic
410	#4004	C₂³	1	1	yes	characteristic
411	#4004	C₂³	1	1	yes	characteristic
412	#4004	C₂³	1	1	yes	characteristic
413	#4004	C₂³	1	1	yes	characteristic
414	#4004	C₂³	1	1	yes	characteristic
415	#4004	C₂³	1	1	yes	characteristic
416	#4004	C₂³	1	1	yes	characteristic
417	#4004	C₂³	1	1	yes	characteristic
418	#4004	C₂³	1	1	yes	characteristic
419	#4004	C₂³	1	1	yes	characteristic
420	#4004	C₂³	1	1	yes	characteristic
421	#4004	C₂³	1	1	yes	characteristic
422	#4004	C₂³	1	1	yes	characteristic
423	#4004	C₂³	1	1	yes	characteristic
424	#4004	C₂³	1	1	yes	characteristic
425	#4004	C₂³	1	1	yes	characteristic
426	#4004	C₂³	1	1	yes	characteristic
427	#4004	C₂³	1	1	yes	characteristic
428	#4004	C₂³	1	1	yes	characteristic
429	#4004	C₂³	1	1	yes	characteristic
430	#4004	C₂³	1	1	yes	characteristic
431	#4003	C₂³	1	1	yes	characteristic
432	#4003	C₂³	1	1	yes	characteristic
433	#4003	C₂³	1	1	yes	characteristic
434	#4003	C₂³	1	1	yes	characteristic
435	#4003	C₂³	1	1	yes	characteristic
436	#4003	C₂³	1	1	yes	characteristic
437	#4003	C₂³	1	1	yes	characteristic
438	#4003	C₂³	1	1	yes	characteristic
439	#4003	C₂³	1	1	yes	characteristic
440	#4003	C₂³	1	1	yes	characteristic
441	#4003	C₂³	1	1	yes	characteristic
442	#4003	C₂³	1	1	yes	characteristic
443	#4002	C₂³	1	1	yes	characteristic
444	#4002	C₂³	1	1	yes	characteristic
445	#4002	C₂³	1	1	yes	characteristic
446	#4002	C₂³	1	1	yes	characteristic
447	#4002	C₂³	1	1	yes	characteristic
448	#4002	C₂³	1	1	yes	characteristic
449	#4002	C₂³	1	1	yes	characteristic
450	#4002	C₂³	1	1	yes	characteristic
451	#4002	C₂³	1	1	yes	characteristic
452	#4002	C₂³	1	1	yes	characteristic
453	C₄⋊#170	C₂³	1	1	yes	characteristic
454	C₄⋊#170	C₂³	1	1	yes	characteristic
455	C₄⋊#170	C₂³	1	1	yes	characteristic
456	C₄⋊#170	C₂³	1	1	yes	characteristic
457	C₄⋊#170	C₂³	1	1	yes	characteristic
458	C₄⋊#170	C₂³	1	1	yes	characteristic
459	C₄⋊#170	C₂³	1	1	yes	characteristic
460	C₄⋊#170	C₂³	1	1	yes	characteristic
461	C₄⋊#170	C₂³	1	1	yes	characteristic
462	C₄⋊#170	C₂³	1	1	yes	characteristic
463	C₄⋊#170	C₂³	1	1	yes	characteristic
464	C₄⋊#170	C₂³	1	1	yes	characteristic
465	C₄⋊#170	C₂³	1	1	yes	characteristic
466	C₄⋊#170	C₂³	1	1	yes	characteristic
467	C₄⋊#170	C₂³	1	1	yes	characteristic
468	C₄⋊#170	C₂³	1	1	yes	characteristic
469	C₄⋊#170	C₂³	1	1	yes	characteristic
470	C₄⋊#170	C₂³	1	1	yes	characteristic
471	C₄×#170	C₂³	1	1	yes	characteristic
472	C₄×#170	C₂³	1	1	yes	characteristic
473	C₄×#170	C₂³	1	1	yes	characteristic
474	C₄×#170	C₂³	1	1	yes	characteristic
475	C₄×#170	C₂³	1	1	yes	characteristic
476	C₄×#170	C₂³	1	1	yes	characteristic
477	C₄×#170	C₂³	1	1	yes	characteristic
478	C₄×#170	C₂³	1	1	yes	characteristic
479	C₄×#170	C₂³	1	1	yes	characteristic
480	C₄×#170	C₂³	1	1	yes	characteristic
481	C₄×#170	C₂³	1	1	yes	characteristic
482	C₄×#170	C₂³	1	1	yes	characteristic
483	C₄×#170	C₂³	1	1	yes	characteristic
484	C₄×#170	C₂³	1	1	yes	characteristic
485	#3475	—	5	1	no	—
486	#2994	—	5	1	no	—
487	#2994	—	5	1	no	—
488	#2994	—	5	1	no	—
489	#2994	—	5	1	no	—
490	#2994	—	5	1	no	—
491	#2994	—	5	1	no	—
492	#2993	—	5	1	no	—
493	#2993	—	5	1	no	—
494	#2992	—	5	1	no	—
495	#2992	—	5	1	no	—
496	#2992	—	5	1	no	—
497	#2992	—	5	1	no	—
498	#2990	—	5	1	no	—
499	#2990	—	5	1	no	—
500	#2988	—	5	1	no	—
501	#2988	—	5	1	no	—
502	#2962	—	5	1	no	—
503	#2960	—	5	1	no	—
504	D₄×M₁₆	—	5	1	no	—
505	#2933	—	5	1	no	—
506	#2933	—	5	1	no	—
507	#2929	—	5	1	no	—
508	#2929	—	5	1	no	—
509	C₂×C₈×D₄	—	5	1	no	—
510	#2924	—	5	1	no	—
511	#2924	—	5	1	no	—
512	#2922	—	5	1	no	—
513	#2906	—	5	1	no	—
514	C₂×#424	—	5	1	no	—
515	C₂×#424	—	5	1	no	—
516	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
517	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
522	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
523	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
524	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
525	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
526	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₅	—	2	4	no	—
528	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
538	C₂²×Dic₅	—	2	2	no	—
539	C₂²×Dic₅	—	2	2	no	—
540	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
541	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
542	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
543	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
544	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
545	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
546	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
547	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
548	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
549	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
550	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
551	#711	—	2	4	no	—
552	#711	—	2	2	no	—
553	#711	—	2	2	no	—
554	#709	—	2	4	no	—
555	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
556	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₄×D₅	—	2	2	no	—
558	C₂×C₄×D₅	—	2	2	no	—
559	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
571	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
572	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
574	#704	—	2	2	no	—
575	#704	—	2	2	no	—
576	#704	—	2	2	no	—
577	#704	—	2	2	no	—
578	#704	—	4	1	no	—
579	#704	—	4	1	no	—
580	#704	—	4	1	no	—
581	#704	—	4	1	no	—
582	C₂×#170	—	2	2	no	—
583	C₂×#170	—	2	2	no	—
584	C₂×#170	—	2	2	no	—
585	C₂×#170	—	2	2	no	—
586	C₂×#170	—	4	1	no	—
587	C₂×#170	—	4	1	no	—
588	C₂×#170	—	4	1	no	—
589	C₂×#170	—	4	1	no	—
590	C₂×#170	—	4	1	no	—
591	C₂×#170	—	4	1	no	—
592	C₂×#170	—	4	1	no	—
593	C₂×#170	—	4	1	no	—
594	C₂×#170	C₂⁴	1	1	yes	characteristic
595	C₂×#170	C₂⁴	1	1	yes	characteristic
596	C₂×#170	C₂⁴	1	1	yes	characteristic
597	C₂×#170	C₂⁴	1	1	yes	characteristic
598	C₂×#170	C₂⁴	1	1	yes	characteristic
599	C₂×#170	C₂⁴	1	1	yes	characteristic
600	C₂×#170	C₂⁴	1	1	yes	characteristic
601	C₂×#170	C₂⁴	1	1	yes	characteristic
602	C₂×#170	C₂⁴	1	1	yes	characteristic
603	C₂×#170	C₂⁴	1	1	yes	characteristic
604	C₂×#170	C₂⁴	1	1	yes	characteristic
605	C₂×#170	C₂⁴	1	1	yes	characteristic
606	C₂×#170	C₂⁴	1	1	yes	characteristic
607	C₂×#170	C₂⁴	1	1	yes	characteristic
608	C₂×#170	C₂⁴	1	1	yes	characteristic
609	C₂×#170	C₂⁴	1	1	yes	characteristic
610	#700	—	4	1	no	—
611	#700	—	4	1	no	—
612	#700	—	4	1	no	—
613	#700	—	4	1	no	—
614	D₅⋊C₈	—	4	1	no	—
615	D₅⋊C₈	—	4	1	no	—
616	D₅⋊C₈	—	4	1	no	—
617	D₅⋊C₈	—	4	1	no	—
618	D₅⋊C₈	—	4	1	no	—
619	D₅⋊C₈	—	4	1	no	—
620	D₅⋊C₈	—	4	1	no	—
621	D₅⋊C₈	—	4	1	no	—
622	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
645	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
646	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
651	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
652	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
653	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
654	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
655	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
656	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
657	#685	C₂²×C₄	1	1	yes	characteristic
658	#685	C₂²×C₄	1	1	yes	characteristic
659	#685	C₂²×C₄	1	1	yes	characteristic
660	#685	C₂²×C₄	1	1	yes	characteristic
661	#685	C₂²×C₄	1	1	yes	characteristic
662	#685	C₂²×C₄	1	1	yes	characteristic
663	#685	C₂²×C₄	1	1	yes	characteristic
664	#685	C₂²×C₄	1	1	yes	characteristic
665	#685	C₂²×C₄	1	1	yes	characteristic
666	#685	C₂²×C₄	1	1	yes	characteristic
667	#685	C₂²×C₄	1	1	yes	characteristic
668	#685	C₂²×C₄	1	1	yes	characteristic
669	#685	C₂²×C₄	1	1	yes	characteristic
670	#685	C₂²×C₄	1	1	yes	characteristic
671	#685	C₂²×C₄	1	1	yes	characteristic
672	#685	C₂²×C₄	1	1	yes	characteristic
673	#685	C₂²×C₄	1	1	yes	characteristic
674	#685	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
681	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
682	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
683	#683	C₂²×C₄	1	1	yes	characteristic
684	#683	C₂²×C₄	1	1	yes	characteristic
685	#683	C₂²×C₄	1	1	yes	characteristic
686	#683	C₂²×C₄	1	1	yes	characteristic
687	#683	C₂²×C₄	1	1	yes	characteristic
688	#683	C₂²×C₄	1	1	yes	characteristic
689	#683	C₂²×C₄	1	1	yes	characteristic
690	#683	C₂²×C₄	1	1	yes	characteristic
691	#683	C₂²×C₄	1	1	yes	characteristic
692	#683	C₂²×C₄	1	1	yes	characteristic
693	#683	C₂²×C₄	1	1	yes	characteristic
694	#683	C₂²×C₄	1	1	yes	characteristic
695	#683	C₂²×C₄	1	1	yes	characteristic
696	#683	C₂²×C₄	1	1	yes	characteristic
697	#683	C₂²×C₄	1	1	yes	characteristic
698	#683	C₂²×C₄	1	1	yes	characteristic
699	#683	C₂²×C₄	1	1	yes	characteristic
700	#683	C₂²×C₄	1	1	yes	characteristic
701	#683	C₂²×C₄	1	1	yes	characteristic
702	#683	C₂²×C₄	1	1	yes	characteristic
703	#683	C₂²×C₄	1	1	yes	characteristic
704	#683	C₂²×C₄	1	1	yes	characteristic
705	#683	C₂²×C₄	1	1	yes	characteristic
706	#683	C₂²×C₄	1	1	yes	characteristic
707	#683	C₂²×C₄	1	1	yes	characteristic
708	#683	C₂²×C₄	1	1	yes	characteristic
709	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
710	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
711	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
712	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
713	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
714	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
715	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
716	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
717	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
718	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
719	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
724	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
725	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
726	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
727	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
728	C₂×#131	—	5	1	no	—
729	C₂×#131	—	5	1	no	—
730	C₂²×M₁₆	—	5	1	no	—
731	C₂²×M₁₆	—	5	1	no	—
732	C₂³×C₈	—	5	1	no	—
733	C₂³×C₈	—	5	1	no	—
734	#556	—	5	1	no	—
735	#555	—	5	1	no	—
736	#554	—	5	1	no	—
737	#553	—	5	1	no	—
738	#553	—	5	1	no	—
739	#552	—	5	1	no	—
740	#552	—	5	1	no	—
741	#552	—	5	1	no	—
742	#552	—	5	1	no	—
743	#551	—	5	1	no	—
744	#551	—	5	1	no	—
745	#551	—	5	1	no	—
746	#551	AGL(1,𝔽₅)	1	1	yes	characteristic
747	#547	—	5	1	no	—
748	#546	—	5	1	no	—
749	#546	—	5	1	no	—
750	#533	—	5	1	no	—
751	#529	—	5	1	no	—
752	#529	—	5	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	5	1	no	—
756	#529	—	5	1	no	—
757	#525	—	5	1	no	—
758	#525	—	5	1	no	—
759	C₄×#41	—	5	1	no	—
760	C₄×#41	—	5	1	no	—
761	C₄×#41	—	5	1	no	—
762	C₂×C₄×D₄	—	5	1	no	—
763	C₂×#117	—	5	1	no	—
764	C₂×#117	—	5	1	no	—
765	#446	—	5	1	no	—
766	#446	—	5	1	no	—
767	#446	—	5	1	no	—
768	#446	—	5	1	no	—
769	#446	—	5	1	no	—
770	#446	—	5	1	no	—
771	#446	—	5	1	no	—
772	#446	—	5	1	no	—
773	#446	—	5	1	no	—
774	#446	—	5	1	no	—
775	C₈×Q₈	—	5	1	no	—
776	C₈×Q₈	—	5	1	no	—
777	C₈×Q₈	—	5	1	no	—
778	C₈×Q₈	—	5	1	no	—
779	C₈×Q₈	—	5	1	no	—
780	C₈×Q₈	—	5	1	no	—
781	#436	—	5	1	no	—
782	#436	—	5	1	no	—
783	#436	—	5	1	no	—
784	#436	—	5	1	no	—
785	#436	—	5	1	no	—
786	#436	—	5	1	no	—
787	#435	—	5	1	no	—
788	#435	—	5	1	no	—
789	#435	—	5	1	no	—
790	#435	—	5	1	no	—
791	#435	—	5	1	no	—
792	#435	—	5	1	no	—
793	#435	—	5	1	no	—
794	#435	—	5	1	no	—
795	#435	—	5	1	no	—
796	#435	—	5	1	no	—
797	#435	—	5	1	no	—
798	#435	—	5	1	no	—
799	#435	—	5	1	no	—
800	#435	—	5	1	no	—
801	#435	—	5	1	no	—
802	#435	—	5	1	no	—
803	#435	—	5	1	no	—
804	#435	—	5	1	no	—
805	#435	—	5	1	no	—
806	#435	—	5	1	no	—
807	C₈×D₄	—	5	1	no	—
808	C₈×D₄	—	5	1	no	—
809	C₈×D₄	—	5	1	no	—
810	C₈×D₄	—	5	1	no	—
811	C₈×D₄	—	5	1	no	—
812	C₈×D₄	—	5	1	no	—
813	C₈×D₄	—	5	1	no	—
814	C₈×D₄	—	5	1	no	—
815	C₈×D₄	—	5	1	no	—
816	C₈×D₄	—	5	1	no	—
817	C₈×D₄	—	5	1	no	—
818	C₈×D₄	—	5	1	no	—
819	C₈×D₄	—	5	1	no	—
820	C₈×D₄	—	5	1	no	—
821	C₈×D₄	—	5	1	no	—
822	C₈×D₄	—	5	1	no	—
823	C₈×D₄	—	5	1	no	—
824	C₈×D₄	—	5	1	no	—
825	C₈×D₄	—	5	1	no	—
826	C₈×D₄	—	5	1	no	—
827	C₈×D₄	—	5	1	no	—
828	C₈×D₄	—	5	1	no	—
829	#433	—	5	1	no	—
830	#433	—	5	1	no	—
831	#433	—	5	1	no	—
832	#433	—	5	1	no	—
833	#433	—	5	1	no	—
834	#433	—	5	1	no	—
835	#433	—	5	1	no	—
836	#433	—	5	1	no	—
837	#433	—	5	1	no	—
838	#433	—	5	1	no	—
839	#433	—	5	1	no	—
840	#433	—	5	1	no	—
841	#432	—	5	1	no	—
842	#432	—	5	1	no	—
843	#432	—	5	1	no	—
844	#432	—	5	1	no	—
845	#431	—	5	1	no	—
846	#431	—	5	1	no	—
847	#431	—	5	1	no	—
848	#431	—	5	1	no	—
849	#431	—	5	1	no	—
850	#431	—	5	1	no	—
851	#431	—	5	1	no	—
852	#431	—	5	1	no	—
853	#424	—	5	1	no	—
854	#424	—	5	1	no	—
855	#424	—	5	1	no	—
856	#424	—	5	1	no	—
857	#424	—	5	1	no	—
858	#424	—	5	1	no	—
859	#424	—	5	1	no	—
860	#424	—	5	1	no	—
861	#424	—	5	1	no	—
862	#424	—	5	1	no	—
863	#424	—	5	1	no	—
864	#424	—	5	1	no	—
865	#424	—	5	1	no	—
866	#424	—	5	1	no	—
867	#424	—	5	1	no	—
868	#424	—	5	1	no	—
869	#424	—	5	1	no	—
870	#424	—	5	1	no	—
871	#424	—	5	1	no	—
872	#424	—	5	1	no	—
873	#423	—	5	1	no	—
874	#423	—	5	1	no	—
875	#423	—	5	1	no	—
876	C₂×C₄⋊C₈	—	5	1	no	—
877	C₂×C₄⋊C₈	—	5	1	no	—
878	C₂×C₄⋊C₈	—	5	1	no	—
879	C₂×C₄⋊C₈	—	5	1	no	—
880	C₂×C₄⋊C₈	—	5	1	no	—
881	C₂×C₄⋊C₈	—	5	1	no	—
882	C₂×C₄⋊C₈	—	5	1	no	—
883	C₂×C₄⋊C₈	—	5	1	no	—
884	C₂×C₄⋊C₈	—	5	1	no	—
885	C₂×C₄⋊C₈	—	5	1	no	—
886	C₂×C₄⋊C₈	—	5	1	no	—
887	#408	—	5	1	no	—
888	#408	—	5	1	no	—
889	#407	—	5	1	no	—
890	#407	—	5	1	no	—
891	C₂×C₂²⋊C₈	—	5	1	no	—
892	C₂×C₂²⋊C₈	—	5	1	no	—
893	#405	—	5	1	no	—
894	#405	—	5	1	no	—
895	#405	—	5	1	no	—
896	#405	—	5	1	no	—
897	C₄×M₁₆	—	5	1	no	—
898	C₂×C₄×C₈	—	5	1	no	—
899	C₂³×C₅	—	2	2	no	—
900	C₂³×C₅	—	2	2	no	—
901	C₂³×C₅	—	4	1	no	—
902	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
903	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
904	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
905	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
906	C₂²×D₅	—	2	2	no	—
907	C₂²×D₅	—	2	2	no	—
908	C₂²×D₅	—	4	1	no	—
909	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
910	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
911	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
912	C₅×Q₈	—	4	1	no	—
913	C₅×D₄	—	2	2	no	—
914	C₅×D₄	—	2	2	no	—
915	C₅×D₄	—	4	1	no	—
916	C₂×C₄×C₅	—	2	2	no	—
917	C₂×C₄×C₅	—	2	2	no	—
918	C₂×C₄×C₅	—	4	1	no	—
919	C₂×C₄×C₅	—	4	1	no	—
920	C₂×C₄×C₅	—	4	1	no	—
921	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
923	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
924	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
925	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
932	C₂²⋊D₅	—	2	2	no	—
933	C₂²⋊D₅	—	2	2	no	—
934	C₂²⋊D₅	—	2	2	no	—
935	C₂²⋊D₅	—	2	2	no	—
936	C₂²⋊D₅	—	2	2	no	—
937	C₂²⋊D₅	—	2	2	no	—
938	C₂²⋊D₅	—	2	2	no	—
939	C₂²⋊D₅	—	4	1	no	—
940	C₂²⋊D₅	—	4	1	no	—
941	C₂²⋊D₅	#131	1	4	yes	complemented
942	C₂×Dic₅	—	2	2	no	—
943	C₂×Dic₅	—	2	2	no	—
944	C₂×Dic₅	—	2	2	no	—
945	C₂×Dic₅	—	2	2	no	—
946	C₂×Dic₅	—	2	2	no	—
947	C₂×Dic₅	—	2	2	no	—
948	C₂×Dic₅	—	2	1	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	2	1	no	—
951	C₂×Dic₅	—	2	1	no	—
952	C₂×Dic₅	—	2	1	no	—
953	C₂×Dic₅	—	2	1	no	—
954	C₂×Dic₅	—	4	1	no	—
955	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
956	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
957	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
958	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
959	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
960	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
961	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
962	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
963	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
964	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
965	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
966	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
967	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
968	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
969	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
970	D₂₀	—	2	2	no	—
971	D₂₀	—	4	1	no	—
972	C₄×D₅	—	2	2	no	—
973	C₄×D₅	—	2	2	no	—
974	C₄×D₅	—	2	2	no	—
975	C₄×D₅	—	2	2	no	—
976	C₄×D₅	—	2	2	no	—
977	C₄×D₅	—	2	1	no	—
978	C₄×D₅	—	2	1	no	—
979	C₄×D₅	—	2	1	no	—
980	C₄×D₅	—	2	1	no	—
981	C₄×D₅	—	2	1	no	—
982	C₄×D₅	—	2	1	no	—
983	C₄×D₅	—	4	1	no	—
984	C₄×D₅	—	4	1	no	—
985	C₄×D₅	—	4	1	no	—
986	Dic₁₀	—	2	2	no	—
987	Dic₁₀	—	2	2	no	—
988	Dic₁₀	—	2	2	no	—
989	Dic₁₀	—	4	1	no	—
990	#170	—	2	1	no	—
991	#170	—	2	1	no	—
992	#170	—	2	1	no	—
993	#170	—	2	1	no	—
994	#170	—	2	1	no	—
995	#170	—	2	1	no	—
996	#170	—	2	1	no	—
997	#170	—	2	1	no	—
998	#170	—	2	1	no	—
999	#170	—	2	1	no	—
1000	#170	—	2	1	no	—
1001	#170	—	2	1	no	—
1002	#170	—	2	1	no	—
1003	#170	—	2	1	no	—
1004	#170	—	2	1	no	—
1005	#170	—	2	1	no	—
1006	C₂×#41	—	5	1	no	—
1007	C₂×#41	—	5	1	no	—
1008	C₂×#41	—	5	1	no	—
1009	C₂²×D₄	—	5	1	no	—
1010	C₂³×C₄	—	5	1	no	—
1011	C₂³×C₄	—	5	1	no	—
1012	#131	—	20	2	no	—
1013	#131	—	20	2	no	—
1014	C₂×M₁₆	—	5	1	no	—
1015	C₂×M₁₆	—	5	1	no	—
1016	C₂×M₁₆	—	5	1	no	—
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂×M₁₆	—	5	1	no	—
1020	C₂×M₁₆	—	5	1	no	—
1021	C₂×M₁₆	—	5	1	no	—
1022	C₂×M₁₆	—	5	1	no	—
1023	C₂×M₁₆	—	5	1	no	—
1024	C₂×M₁₆	—	5	1	no	—
1025	C₂×M₁₆	—	5	1	no	—
1026	C₂×M₁₆	—	20	2	no	—
1027	C₂×M₁₆	—	20	2	no	—
1028	C₂²×C₈	—	5	1	no	—
1029	C₂²×C₈	—	5	1	no	—
1030	C₂²×C₈	—	5	1	no	—
1031	C₂²×C₈	—	5	1	no	—
1032	C₂²×C₈	—	5	1	no	—
1033	C₂²×C₈	—	5	1	no	—
1034	C₂²×C₈	—	5	1	no	—
1035	C₂²×C₈	—	5	1	no	—
1036	C₂²×C₈	—	5	1	no	—
1037	C₂²×C₈	—	5	1	no	—
1038	C₂²×C₈	—	5	1	no	—
1039	C₂²×C₈	—	5	1	no	—
1040	C₂²×C₈	—	5	1	no	—
1041	C₂²×C₈	—	5	1	no	—
1042	C₂²×C₈	—	5	1	no	—
1043	C₂²×C₈	—	5	1	no	—
1044	C₂²×C₈	—	5	1	no	—
1045	C₂²×C₈	—	5	1	no	—
1046	C₂²×C₈	—	5	1	no	—
1047	C₂²×C₈	—	5	1	no	—
1048	C₂²×C₈	—	20	2	no	—
1049	C₂²×C₈	—	20	2	no	—
1050	C₄⋊Q₈	—	5	1	no	—
1051	C₄⋊Q₈	—	5	1	no	—
1052	#126	—	5	1	no	—
1053	#126	—	5	1	no	—
1054	#126	—	5	1	no	—
1055	#126	—	5	1	no	—
1056	#126	—	5	1	no	—
1057	#126	—	5	1	no	—
1058	#126	—	5	1	no	—
1059	#126	—	5	1	no	—
1060	#126	—	5	1	no	—
1061	#126	—	5	1	no	—
1062	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1063	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1064	#125	—	5	1	no	—
1065	#125	—	5	1	no	—
1066	#125	—	5	1	no	—
1067	#125	—	5	1	no	—
1068	#125	—	5	1	no	—
1069	#125	—	5	1	no	—
1070	#125	—	5	1	no	—
1071	#125	—	5	1	no	—
1072	#124	—	5	1	no	—
1073	#124	—	5	1	no	—
1074	#124	—	5	1	no	—
1075	#124	—	5	1	no	—
1076	#124	—	5	1	no	—
1077	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1078	#123	—	5	1	no	—
1079	#123	—	5	1	no	—
1080	#123	—	5	1	no	—
1081	#123	—	5	1	no	—
1082	#123	—	5	1	no	—
1083	#123	—	5	1	no	—
1084	#123	—	5	1	no	—
1085	#123	—	5	1	no	—
1086	#123	—	5	1	no	—
1087	#123	—	5	1	no	—
1088	#123	—	5	1	no	—
1089	#123	—	5	1	no	—
1090	#123	—	5	1	no	—
1091	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1092	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1093	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1094	C₂²⋊Q₈	—	5	1	no	—
1095	C₂²⋊Q₈	—	5	1	no	—
1096	C₂²⋊Q₈	—	5	1	no	—
1097	C₂²⋊Q₈	—	5	1	no	—
1098	C₂²⋊Q₈	—	5	1	no	—
1099	C₂²⋊Q₈	—	5	1	no	—
1100	C₂²⋊Q₈	—	5	1	no	—
1101	C₂²⋊Q₈	—	5	1	no	—
1102	C₂²⋊Q₈	—	5	1	no	—
1103	C₂²⋊Q₈	—	5	1	no	—
1104	C₂²⋊Q₈	—	5	1	no	—
1105	C₂²⋊Q₈	—	5	1	no	—
1106	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1107	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	5	1	no	—
1113	#121	—	5	1	no	—
1114	#121	—	5	1	no	—
1115	#121	—	5	1	no	—
1116	#121	—	5	1	no	—
1117	#121	—	5	1	no	—
1118	#120	—	5	1	no	—
1119	#120	—	5	1	no	—
1120	#120	—	5	1	no	—
1121	#120	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	5	1	no	—
1156	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1157	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1158	#117	—	5	1	no	—
1159	#117	—	5	1	no	—
1160	#117	—	5	1	no	—
1161	#117	—	5	1	no	—
1162	#117	—	5	1	no	—
1163	#117	—	5	1	no	—
1164	#117	—	5	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	5	1	no	—
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	5	1	no	—
1173	#117	—	5	1	no	—
1174	#117	—	5	1	no	—
1175	#117	—	5	1	no	—
1176	#117	—	5	1	no	—
1177	#117	—	5	1	no	—
1178	#117	—	5	1	no	—
1179	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1180	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1181	C₂×C₄⋊C₄	—	5	1	no	—
1182	C₂×C₄⋊C₄	—	5	1	no	—
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	5	1	no	—
1186	C₂×C₂²⋊C₄	—	5	1	no	—
1187	C₂×C₂²⋊C₄	—	5	1	no	—
1188	C₂×C₂²⋊C₄	—	5	1	no	—
1189	C₂×C₂²⋊C₄	—	5	1	no	—
1190	C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1192	C₂×C₄²	—	5	1	no	—
1193	C₂×C₄²	—	5	1	no	—
1194	C₂×C₄²	—	5	1	no	—
1195	C₂×C₄²	—	5	1	no	—
1196	C₂×C₄²	—	5	1	no	—
1197	C₂×C₄²	—	5	1	no	—
1198	C₂×C₄²	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	C₄⋊C₈	—	5	1	no	—
1203	C₄⋊C₈	—	5	1	no	—
1204	C₄⋊C₈	—	5	1	no	—
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	C₄⋊C₈	—	5	1	no	—
1220	C₄⋊C₈	—	5	1	no	—
1221	C₄⋊C₈	—	5	1	no	—
1222	C₄⋊C₈	—	5	1	no	—
1223	C₄⋊C₈	—	5	1	no	—
1224	C₄⋊C₈	—	5	1	no	—
1225	C₄⋊C₈	—	5	1	no	—
1226	C₄⋊C₈	—	5	1	no	—
1227	C₄⋊C₈	—	5	1	no	—
1228	C₄⋊C₈	—	5	1	no	—
1229	C₄⋊C₈	—	5	1	no	—
1230	C₄⋊C₈	—	5	1	no	—
1231	C₄⋊C₈	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	—	5	1	no	—
1234	C₄⋊C₈	—	5	1	no	—
1235	C₄⋊C₈	—	5	1	no	—
1236	C₄⋊C₈	—	5	1	no	—
1237	C₄⋊C₈	—	5	1	no	—
1238	C₄⋊C₈	—	5	1	no	—
1239	C₂²⋊C₈	—	5	1	no	—
1240	C₂²⋊C₈	—	5	1	no	—
1241	C₂²⋊C₈	—	5	1	no	—
1242	C₂²⋊C₈	—	5	1	no	—
1243	C₂²⋊C₈	—	5	1	no	—
1244	C₂²⋊C₈	—	5	1	no	—
1245	C₂²⋊C₈	—	5	1	no	—
1246	C₂²⋊C₈	—	5	1	no	—
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	—	5	1	no	—
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	C₂²⋊C₈	—	5	1	no	—
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	—	5	1	no	—
1256	C₂²⋊C₈	—	5	1	no	—
1257	C₂²⋊C₈	—	5	1	no	—
1258	C₂²⋊C₈	—	5	1	no	—
1259	C₂²⋊C₈	—	5	1	no	—
1260	C₂²⋊C₈	—	5	1	no	—
1261	C₂²⋊C₈	—	5	1	no	—
1262	C₂²⋊C₈	—	5	1	no	—
1263	#97	—	5	1	no	—
1264	#97	—	5	1	no	—
1265	#97	—	5	1	no	—
1266	#97	—	5	1	no	—
1267	#97	—	5	1	no	—
1268	#97	—	5	1	no	—
1269	#97	—	5	1	no	—
1270	#97	—	5	1	no	—
1271	#97	—	5	1	no	—
1272	#97	—	5	1	no	—
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	—	5	1	no	—
1276	C₄×C₈	—	5	1	no	—
1277	C₄×C₈	—	5	1	no	—
1278	C₄×C₈	—	5	1	no	—
1279	C₄×C₈	—	5	1	no	—
1280	C₄×C₈	—	5	1	no	—
1281	C₄×C₈	—	5	1	no	—
1282	C₄×C₈	—	5	1	no	—
1283	C₄×C₈	—	5	1	no	—
1284	C₄×C₈	—	5	1	no	—
1285	C₄×C₈	—	5	1	no	—
1286	C₄×C₈	—	5	1	no	—
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	2	1	no	—
1290	C₂²×C₅	—	2	1	no	—
1291	C₂²×C₅	—	2	1	no	—
1292	C₂²×C₅	—	2	1	no	—
1293	C₂²×C₅	—	2	1	no	—
1294	C₂²×C₅	—	2	1	no	—
1295	C₂²×C₅	—	2	1	no	—
1296	C₂²×C₅	—	2	1	no	—
1297	C₂²×C₅	—	4	4	no	—
1298	C₂²×C₅	#520	1	2	yes	—
1299	C₂²×C₅	C₂×#131	1	2	yes	—
1300	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1301	C₂×D₅	—	2	1	no	—
1302	C₂×D₅	—	2	1	no	—
1303	C₂×D₅	—	2	1	no	—
1304	C₂×D₅	—	2	1	no	—
1305	C₂×D₅	—	2	1	no	—
1306	C₂×D₅	—	2	1	no	—
1307	C₂×D₅	—	2	1	no	—
1308	C₂×D₅	—	2	1	no	—
1309	C₂×D₅	—	4	4	no	—
1310	C₂×D₅	C₂×#131	1	2	yes	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	2	1	no	—
1313	C₄×C₅	—	2	1	no	—
1314	C₄×C₅	—	2	1	no	—
1315	C₄×C₅	—	2	1	no	—
1316	C₄×C₅	—	2	1	no	—
1317	C₄×C₅	—	2	1	no	—
1318	C₄×C₅	—	2	1	no	—
1319	C₄×C₅	—	2	1	no	—
1320	C₄×C₅	—	2	1	no	—
1321	C₄×C₅	—	2	1	no	—
1322	Dic₅	—	2	1	no	—
1323	Dic₅	—	2	1	no	—
1324	Dic₅	—	2	1	no	—
1325	Dic₅	—	2	1	no	—
1326	Dic₅	—	2	1	no	—
1327	Dic₅	—	2	1	no	—
1328	Dic₅	—	2	1	no	—
1329	Dic₅	—	2	1	no	—
1330	Dic₅	—	2	1	no	—
1331	Dic₅	—	2	1	no	—
1332	Dic₅	#520	1	2	yes	—
1333	Dic₅	C₂×#131	1	2	yes	—
1334	Dic₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1335	Dic₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1336	C₂⁴	—	5	1	no	—
1337	C₂⁴	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1338	#41	—	10	4	no	—
1339	#41	—	10	2	no	—
1340	#41	—	10	2	no	—
1341	#41	—	10	4	no	—
1342	C₂×Q₈	—	5	1	no	—
1343	C₂×Q₈	—	5	1	no	—
1344	C₂×Q₈	—	5	1	no	—
1345	C₂×Q₈	—	5	1	no	—
1346	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1347	C₂×D₄	—	5	1	no	—
1348	C₂×D₄	—	5	1	no	—
1349	C₂×D₄	—	5	1	no	—
1350	C₂×D₄	—	5	1	no	—
1351	C₂×D₄	—	5	1	no	—
1352	C₂×D₄	—	5	1	no	—
1353	C₂×D₄	—	5	1	no	—
1354	C₂×D₄	—	5	1	no	—
1355	C₂×D₄	—	5	1	no	—
1356	C₂×D₄	—	5	1	no	—
1357	C₂×D₄	—	5	1	no	—
1358	C₂×D₄	—	5	1	no	—
1359	C₂×D₄	—	10	4	no	—
1360	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1361	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1362	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1363	C₂²×C₄	—	5	1	no	—
1364	C₂²×C₄	—	5	1	no	—
1365	C₂²×C₄	—	5	1	no	—
1366	C₂²×C₄	—	5	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	5	1	no	—
1371	C₂²×C₄	—	5	1	no	—
1372	C₂²×C₄	—	5	1	no	—
1373	C₂²×C₄	—	5	1	no	—
1374	C₂²×C₄	—	5	1	no	—
1375	C₂²×C₄	—	5	1	no	—
1376	C₂²×C₄	—	5	1	no	—
1377	C₂²×C₄	—	5	1	no	—
1378	C₂²×C₄	—	5	1	no	—
1379	C₂²×C₄	—	5	1	no	—
1380	C₂²×C₄	—	5	1	no	—
1381	C₂²×C₄	—	5	1	no	—
1382	C₂²×C₄	—	5	1	no	—
1383	C₂²×C₄	—	5	1	no	—
1384	C₂²×C₄	—	5	1	no	—
1385	C₂²×C₄	—	10	2	no	—
1386	C₂²×C₄	—	10	2	no	—
1387	C₂²×C₄	—	10	2	no	—
1388	C₂²×C₄	—	10	2	no	—
1389	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1390	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1391	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1392	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1393	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1394	M₁₆	—	10	2	no	—
1395	M₁₆	—	10	2	no	—
1396	M₁₆	—	10	2	no	—
1397	M₁₆	—	10	2	no	—
1398	M₁₆	—	20	1	no	—
1399	M₁₆	—	20	1	no	—
1400	M₁₆	—	20	1	no	—
1401	M₁₆	—	20	1	no	—
1402	M₁₆	—	20	1	no	—
1403	M₁₆	—	20	1	no	—
1404	M₁₆	—	20	1	no	—
1405	M₁₆	—	20	1	no	—
1406	C₂×C₈	—	5	1	no	—
1407	C₂×C₈	—	5	1	no	—
1408	C₂×C₈	—	5	1	no	—
1409	C₂×C₈	—	5	1	no	—
1410	C₂×C₈	—	5	1	no	—
1411	C₂×C₈	—	5	1	no	—
1412	C₂×C₈	—	5	1	no	—
1413	C₂×C₈	—	5	1	no	—
1414	C₂×C₈	—	5	1	no	—
1415	C₂×C₈	—	5	1	no	—
1416	C₂×C₈	—	5	1	no	—
1417	C₂×C₈	—	5	1	no	—
1418	C₂×C₈	—	5	1	no	—
1419	C₂×C₈	—	5	1	no	—
1420	C₂×C₈	—	5	1	no	—
1421	C₂×C₈	—	5	1	no	—
1422	C₂×C₈	—	10	2	no	—
1423	C₂×C₈	—	10	2	no	—
1424	C₂×C₈	—	10	2	no	—
1425	C₂×C₈	—	10	2	no	—
1426	C₂×C₈	—	20	1	no	—
1427	C₂×C₈	—	20	1	no	—
1428	C₂×C₈	—	20	1	no	—
1429	C₂×C₈	—	20	1	no	—
1430	C₂×C₈	—	20	1	no	—
1431	C₂×C₈	—	20	1	no	—
1432	C₂×C₈	—	20	1	no	—
1433	C₂×C₈	—	20	1	no	—
1434	C₂×C₈	—	20	1	no	—
1435	C₂×C₈	—	20	1	no	—
1436	C₂×C₈	—	20	1	no	—
1437	C₂×C₈	—	20	1	no	—
1438	C₂×C₈	—	20	1	no	—
1439	C₂×C₈	—	20	1	no	—
1440	C₂×C₈	—	20	1	no	—
1441	C₂×C₈	—	20	1	no	—
1442	C₄⋊C₄	—	5	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	5	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	5	1	no	—
1460	C₄⋊C₄	—	5	1	no	—
1461	C₄⋊C₄	—	5	1	no	—
1462	C₄⋊C₄	—	5	1	no	—
1463	C₄⋊C₄	—	5	1	no	—
1464	C₄⋊C₄	—	5	1	no	—
1465	C₄⋊C₄	—	5	1	no	—
1466	C₄⋊C₄	—	5	1	no	—
1467	C₄⋊C₄	—	5	1	no	—
1468	C₄⋊C₄	—	5	1	no	—
1469	C₄⋊C₄	—	5	1	no	—
1470	C₄⋊C₄	—	5	1	no	—
1471	C₄⋊C₄	—	5	1	no	—
1472	C₄⋊C₄	—	5	1	no	—
1473	C₄⋊C₄	—	5	1	no	—
1474	C₄⋊C₄	—	5	1	no	—
1475	C₄⋊C₄	—	5	1	no	—
1476	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1477	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1478	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1479	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1480	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1481	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1482	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1483	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1484	C₂²⋊C₄	—	5	1	no	—
1485	C₂²⋊C₄	—	5	1	no	—
1486	C₂²⋊C₄	—	5	1	no	—
1487	C₂²⋊C₄	—	5	1	no	—
1488	C₂²⋊C₄	—	5	1	no	—
1489	C₂²⋊C₄	—	5	1	no	—
1490	C₂²⋊C₄	—	5	1	no	—
1491	C₂²⋊C₄	—	5	1	no	—
1492	C₂²⋊C₄	—	5	1	no	—
1493	C₂²⋊C₄	—	5	1	no	—
1494	C₂²⋊C₄	—	5	1	no	—
1495	C₂²⋊C₄	—	5	1	no	—
1496	C₂²⋊C₄	—	5	1	no	—
1497	C₂²⋊C₄	—	5	1	no	—
1498	C₂²⋊C₄	—	5	1	no	—
1499	C₂²⋊C₄	—	5	1	no	—
1500	C₂²⋊C₄	—	5	1	no	—
1501	C₂²⋊C₄	—	5	1	no	—
1502	C₂²⋊C₄	—	5	1	no	—
1503	C₂²⋊C₄	—	5	1	no	—
1504	C₂²⋊C₄	—	5	1	no	—
1505	C₂²⋊C₄	—	5	1	no	—
1506	C₂²⋊C₄	—	5	1	no	—
1507	C₂²⋊C₄	—	5	1	no	—
1508	C₂²⋊C₄	—	5	1	no	—
1509	C₂²⋊C₄	—	5	1	no	—
1510	C₂²⋊C₄	—	5	1	no	—
1511	C₂²⋊C₄	—	5	1	no	—
1512	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1526	C₄²	—	5	1	no	—
1527	C₄²	—	5	1	no	—
1528	C₄²	—	5	1	no	—
1529	C₄²	—	5	1	no	—
1530	C₄²	—	5	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	5	1	no	—
1534	C₄²	—	5	1	no	—
1535	C₄²	—	5	1	no	—
1536	C₄²	—	5	1	no	—
1537	C₄²	—	5	1	no	—
1538	C₄²	—	5	1	no	—
1539	C₄²	—	5	1	no	—
1540	C₄²	—	5	1	no	—
1541	C₄²	—	5	1	no	—
1542	C₄²	—	5	1	no	—
1543	C₄²	—	5	1	no	—
1544	C₄²	—	5	1	no	—
1545	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1546	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1547	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1548	C₂×C₅	—	2	2	no	—
1549	C₂×C₅	—	2	2	no	—
1550	C₂×C₅	—	4	1	no	—
1551	C₂×C₅	—	4	1	no	—
1552	C₂×C₅	C₂×#520	1	1	yes	characteristic
1553	C₂×C₅	C₂²×#131	1	1	yes	characteristic
1554	C₂×C₅	#3573	1	1	yes	characteristic
1555	D₅	—	2	2	no	—
1556	D₅	—	4	1	no	—
1557	D₅	—	4	1	no	—
1558	C₂³	—	2	2	no	—
1559	C₂³	—	2	2	no	—
1560	C₂³	—	4	1	no	—
1561	C₂³	—	5	1	no	—
1562	C₂³	—	5	1	no	—
1563	C₂³	—	5	1	no	—
1564	C₂³	—	10	2	no	—
1565	C₂³	—	10	2	no	—
1566	C₂³	—	20	1	no	—
1567	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1568	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1569	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1570	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1571	Q₈	—	4	1	no	—
1572	Q₈	—	10	2	no	—
1573	Q₈	—	10	2	no	—
1574	Q₈	—	10	2	no	—
1575	Q₈	—	20	1	no	—
1576	D₄	—	2	2	no	—
1577	D₄	—	2	2	no	—
1578	D₄	—	4	1	no	—
1579	D₄	—	5	4	no	—
1580	D₄	—	10	2	no	—
1581	D₄	—	10	2	no	—
1582	D₄	—	10	2	no	—
1583	D₄	—	10	2	no	—
1584	D₄	—	10	2	no	—
1585	D₄	—	10	2	no	—
1586	D₄	—	10	2	no	—
1587	D₄	—	10	2	no	—
1588	D₄	—	20	1	no	—
1589	D₄	—	20	1	no	—
1590	D₄	—	20	1	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	5	2	no	—
1597	C₂×C₄	—	5	2	no	—
1598	C₂×C₄	—	5	1	no	—
1599	C₂×C₄	—	5	1	no	—
1600	C₂×C₄	—	5	1	no	—
1601	C₂×C₄	—	5	1	no	—
1602	C₂×C₄	—	5	1	no	—
1603	C₂×C₄	—	5	1	no	—
1604	C₂×C₄	—	5	1	no	—
1605	C₂×C₄	—	5	1	no	—
1606	C₂×C₄	—	5	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	1	no	—
1609	C₂×C₄	—	5	1	no	—
1610	C₂×C₄	—	5	1	no	—
1611	C₂×C₄	—	10	1	no	—
1612	C₂×C₄	—	10	1	no	—
1613	C₂×C₄	—	10	1	no	—
1614	C₂×C₄	—	10	1	no	—
1615	C₂×C₄	—	10	1	no	—
1616	C₂×C₄	—	10	2	no	—
1617	C₂×C₄	—	10	2	no	—
1618	C₂×C₄	—	10	2	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	10	2	no	—
1621	C₂×C₄	—	10	2	no	—
1622	C₂×C₄	—	10	1	no	—
1623	C₂×C₄	—	10	1	no	—
1624	C₂×C₄	—	10	1	no	—
1625	C₂×C₄	—	10	1	no	—
1626	C₂×C₄	—	10	1	no	—
1627	C₂×C₄	—	10	2	no	—
1628	C₂×C₄	—	10	2	no	—
1629	C₂×C₄	—	10	2	no	—
1630	C₂×C₄	—	10	2	no	—
1631	C₂×C₄	—	10	1	no	—
1632	C₂×C₄	—	10	2	no	—
1633	C₂×C₄	—	10	2	no	—
1634	C₂×C₄	—	20	1	no	—
1635	C₂×C₄	—	20	1	no	—
1636	C₂×C₄	—	20	1	no	—
1637	C₂×C₄	—	20	1	no	—
1638	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1639	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1640	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1641	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1642	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1643	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1644	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1645	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1646	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1647	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1648	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1649	C₈	—	10	1	no	—
1650	C₈	—	10	1	no	—
1651	C₈	—	10	1	no	—
1652	C₈	—	10	1	no	—
1653	C₈	—	10	1	no	—
1654	C₈	—	10	1	no	—
1655	C₈	—	10	1	no	—
1656	C₈	—	10	1	no	—
1657	C₈	—	10	1	no	—
1658	C₈	—	10	1	no	—
1659	C₈	—	10	1	no	—
1660	C₈	—	10	1	no	—
1661	C₈	—	10	1	no	—
1662	C₈	—	10	1	no	—
1663	C₈	—	10	1	no	—
1664	C₈	—	10	1	no	—
1665	C₅	#60271	1	1	yes	characteristic, complemented, Sylow
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	2	1	no	—
1676	C₂²	—	4	4	no	—
1677	C₂²	—	5	2	no	—
1678	C₂²	—	10	1	no	—
1679	C₂²	—	10	1	no	—
1680	C₂²	—	10	1	no	—
1681	C₂²	—	10	1	no	—
1682	C₂²	—	10	1	no	—
1683	C₂²	—	10	1	no	—
1684	C₂²	—	10	1	no	—
1685	C₂²	—	10	1	no	—
1686	C₂²	—	20	4	no	—
1687	C₂²	D₅⋊#131	1	2	yes	—
1688	C₂²	#66266	1	2	yes	—
1689	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	1	no	—
1701	C₄	—	5	2	no	—
1702	C₄	—	5	1	no	—
1703	C₄	—	5	1	no	—
1704	C₄	—	5	2	no	—
1705	C₄	—	10	1	no	—
1706	C₄	—	10	1	no	—
1707	C₄	—	10	1	no	—
1708	C₄	—	10	1	no	—
1709	C₄	—	10	1	no	—
1710	C₄	—	10	1	no	—
1711	C₄	—	10	1	no	—
1712	C₄	—	10	1	no	—
1713	C₄	—	10	1	no	—
1714	C₄	—	10	1	no	—
1715	C₂	—	2	2	no	—
1716	C₂	—	2	2	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	1	no	—
1719	C₂	—	10	2	no	—
1720	C₂	—	20	1	no	—
1721	C₂	—	20	1	no	—
1722	C₂	C₂×D₅⋊#131	1	1	yes	characteristic
1723	C₂	C₂×#66266	1	1	yes	characteristic
1724	C₂	#10619413	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×AGL(1,𝔽₅)
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#551	C₄
prime radical	#10618691	C₂
cosocle	C₂×Dic₅	C₂⁵
hypercenter	#551	AGL(1,𝔽₅)
hypocenter	C₅	#60271
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #551

Complements

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

N	H ≅ G/N	type
2. #10617355	C₂	semidirect
3. #10617355	C₂	semidirect
4. #10617354	C₂	semidirect
5. #10617353	C₂	semidirect
6. #10617321	C₂	semidirect
7. #10617319	C₂	semidirect
8. #10617301	C₂	semidirect
9. #10617301	C₂	semidirect
10. #10617300	C₂	semidirect
11. #10617299	C₂	semidirect
12. #10617291	C₂	semidirect
13. #10617289	C₂	semidirect
14. #10617279	C₂	semidirect
15. #10617277	C₂	semidirect
16. #10617264	C₂	semidirect
17. #10617261	C₂	semidirect
18. #10617217	C₂	semidirect
19. #10617215	C₂	semidirect
20. #10617168	C₂	semidirect
21. #10617165	C₂	semidirect
22. #10617139	C₂	semidirect
23. #10617138	C₂	semidirect
24. #10617123	C₂	semidirect
25. #10617120	C₂	semidirect
26. #10617111	C₂	semidirect
27. D₅⋊#424	C₂	semidirect
28. #10617060	C₂	semidirect
29. C₂×#65692	C₂	semidirect
30. #10617055	C₂	semidirect
31. C₂×#65696	C₂	semidirect
71. #65788	C₂²	semidirect
72. #65788	C₂²	semidirect
73. #65788	C₂²	semidirect
74. Q₈×#170	C₂²	semidirect
77. #65774	C₂²	semidirect
78. #65773	C₂²	semidirect
79. #65773	C₂²	semidirect
80. #65773	C₂²	semidirect
81. #65773	C₂²	semidirect
82. D₄×#170	C₂²	semidirect
83. D₄×#170	C₂²	semidirect
84. D₄×#170	C₂²	semidirect
85. #65759	C₂²	semidirect
87. #65758	C₂²	semidirect
88. #65757	C₂²	semidirect
90. #65754	C₂²	semidirect
91. #65754	C₂²	semidirect
93. C₂×#4004	C₂²	semidirect
94. C₂×#4004	C₂²	semidirect
95. C₂×#4004	C₂²	semidirect
98. #65748	C₂²	semidirect
99. #65748	C₂²	semidirect
100. C₂×C₄⋊#170	C₂²	semidirect
101. C₂×C₄⋊#170	C₂²	semidirect
103. #65709	C₂²	semidirect
104. #65708	C₂²	semidirect
105. #65708	C₂²	semidirect
106. #65708	C₂²	semidirect
107. #65708	C₂²	semidirect
108. #65708	C₂²	semidirect
109. #65708	C₂²	semidirect
110. #65707	C₂²	semidirect
111. #65707	C₂²	semidirect
112. #65707	C₂²	semidirect
113. #65707	C₂²	semidirect
114. #65707	C₂²	semidirect
115. #65707	C₂²	semidirect
116. #65706	C₂²	semidirect
117. #65706	C₂²	semidirect
118. #65706	C₂²	semidirect
119. #65706	C₂²	semidirect
120. #65706	C₂²	semidirect
121. #65706	C₂²	semidirect
122. #65705	C₂²	semidirect
123. #65704	C₂²	semidirect
124. #65704	C₂²	semidirect
125. #65704	C₂²	semidirect
126. #65704	C₂²	semidirect
127. #65703	C₂²	semidirect
128. #65703	C₂²	semidirect
129. #65703	C₂²	semidirect
130. #65703	C₂²	semidirect
131. #65703	C₂²	semidirect
132. #65702	C₂²	semidirect
133. #65702	C₂²	semidirect
134. #65702	C₂²	semidirect
135. #65697	C₂²	semidirect
136. #65697	C₂²	semidirect
137. #65697	C₂²	semidirect
138. #65697	C₂²	semidirect
139. #65697	C₂²	semidirect
140. #65697	C₂²	semidirect
149. #65696	C₂²	semidirect
150. #65696	C₂²	semidirect
151. #65696	C₂²	semidirect
152. #65696	C₂²	semidirect
153. #65696	C₂²	semidirect
154. #65696	C₂²	semidirect
157. #65695	C₂²	semidirect
158. #65695	C₂²	semidirect
161. #65694	C₂²	semidirect
162. #65694	C₂²	semidirect
163. #65694	C₂²	semidirect
164. #65694	C₂²	semidirect
167. #65693	C₂²	semidirect
168. #65693	C₂²	semidirect
169. #65693	C₂²	semidirect
170. #65693	C₂²	semidirect
181. #65692	C₂²	semidirect
182. #65692	C₂²	semidirect
183. #65692	C₂²	semidirect
184. #65692	C₂²	semidirect
185. #65692	C₂²	semidirect
186. #65692	C₂²	semidirect
191. #65684	C₂²	semidirect
192. #65683	C₂²	semidirect
193. #65682	C₂²	semidirect
194. #65680	C₂²	semidirect
195. #65680	C₂²	semidirect
196. D₅⋊(C₄⋊C₈)	C₂²	semidirect
197. D₅⋊(C₄⋊C₈)	C₂²	semidirect
198. D₅⋊(C₄⋊C₈)	C₂²	semidirect
199. D₅⋊(C₄⋊C₈)	C₂²	semidirect
200. D₅⋊(C₄⋊C₈)	C₂²	semidirect
201. #65678	C₂²	semidirect
202. #65678	C₂²	semidirect
941. C₂²⋊D₅	#131	semidirect
1665. C₅	#60271	semidirect

Maximal subgroups

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

subgroup	index
#10618691	2
#10617355	2
#10617354	2
#10617353	2
#10617321	2
#10617319	2
#10617301	2
#10617300	2
#10617299	2
#10617291	2
#10617289	2
#10617279	2
#10617277	2
#10617264	2
#10617261	2
#10617217	2
#10617215	2
#10617168	2
#10617165	2
#10617139	2
#10617138	2
#10617123	2
#10617120	2
#10617111	2
D₅⋊#424	2
#10617060	2
C₂×#65692	2
#10617055	2
C₂×#65696	2
#60271	5