Subgroups — #12977260

Order 1280.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618581	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618566	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3306	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615257	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615228	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613429	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613414	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613178	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613161	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613073	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613059	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612809	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#476	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612615	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612597	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612413	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612391	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612292	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612264	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611835	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611818	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611752	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611736	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611611	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611596	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611233	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611215	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610638	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610613	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610489	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610473	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4149	C₂²	1	1	yes	characteristic
33	C₂×#4144	C₂²	1	1	yes	characteristic
34	C₅×#547	C₂²	1	1	yes	characteristic, complemented
35	C₅×#546	C₂²	1	1	yes	characteristic
36	#66166	—	2	1	no	—
37	#66165	—	2	1	no	—
38	#66158	C₂²	1	1	yes	characteristic
39	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
40	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4057	C₂²	1	1	yes	characteristic
43	C₂×#4053	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4047	C₂²	1	1	yes	characteristic, complemented
45	#66066	C₂²	1	1	yes	characteristic, complemented
46	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	#66010	C₂²	1	1	yes	characteristic
48	#66002	C₂²	1	1	yes	characteristic
49	#65996	—	2	1	no	—
50	#65996	—	2	1	no	—
51	#65995	—	2	1	no	—
52	#65995	—	2	1	no	—
53	#65989	—	2	1	no	—
54	#65987	—	2	1	no	—
55	#65967	—	2	1	no	—
56	#65965	C₂²	1	1	yes	characteristic
57	#65963	C₂²	1	1	yes	characteristic
58	#65956	—	2	1	no	—
59	#65950	C₂²	1	1	yes	characteristic, complemented
60	#65950	C₂²	1	1	yes	characteristic, complemented
61	#65944	—	2	1	no	—
62	#65943	C₂²	1	1	yes	characteristic
63	#65942	C₂²	1	1	yes	characteristic
64	#65942	C₂²	1	1	yes	characteristic, complemented
65	#65942	C₂²	1	1	yes	characteristic, complemented
66	D₅×#121	—	2	1	no	—
67	#65924	—	2	1	no	—
68	#65923	—	2	1	no	—
69	#65888	C₂²	1	1	yes	characteristic
70	#65885	C₂²	1	1	yes	characteristic, complemented
71	#65884	C₂²	1	1	yes	characteristic
72	#65882	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
74	#65876	C₂²	1	1	yes	characteristic, complemented
75	C₄×#711	C₂²	1	1	yes	characteristic, complemented
76	#65845	C₂²	1	1	yes	characteristic, complemented
77	#65845	C₂²	1	1	yes	characteristic, complemented
78	#65838	C₂²	1	1	yes	characteristic, complemented
79	#65838	C₂²	1	1	yes	characteristic, complemented
80	#65824	—	2	1	no	—
81	C₂×#4030	—	2	1	no	—
82	C₅×#489	C₂²	1	1	yes	characteristic, complemented
83	C₅×#483	C₂²	1	1	yes	characteristic, complemented
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#476	C₂²	1	1	yes	characteristic, complemented
86	C₅×#469	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#463	C₂²	1	1	yes	characteristic, complemented
89	C₅×#449	C₂²	1	1	yes	characteristic, complemented
90	C₅×#447	C₂²	1	1	yes	characteristic, complemented
91	C₅×#442	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic, complemented
93	C₅×#417	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
95	#65528	C₂²	1	1	yes	characteristic, complemented
96	#65522	C₂²	1	1	yes	characteristic, complemented
97	#65507	C₂²	1	1	yes	characteristic, complemented
98	#65504	C₂²	1	1	yes	characteristic, complemented
99	#65461	C₂²	1	1	yes	characteristic, complemented
100	#65460	C₂²	1	1	yes	characteristic, complemented
101	#65451	C₂²	1	1	yes	characteristic, complemented
102	#65448	C₂²	1	1	yes	characteristic, complemented
103	#65447	C₂²	1	1	yes	characteristic, complemented
104	#65445	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic, complemented
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65426	C₂²	1	1	yes	characteristic, complemented
109	#65420	C₂²	1	1	yes	characteristic, complemented
110	#65417	C₂²	1	1	yes	characteristic, complemented
111	#65403	C₂²	1	1	yes	characteristic, complemented
112	#65402	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
114	#65378	C₂²	1	1	yes	characteristic, complemented
115	#65373	C₂²	1	1	yes	characteristic, complemented
116	#65344	C₂²	1	1	yes	characteristic, complemented
117	#65343	C₂²	1	1	yes	characteristic, complemented
118	#65341	C₂²	1	1	yes	characteristic, complemented
119	#65334	C₂²	1	1	yes	characteristic, complemented
120	#65330	C₂²	1	1	yes	characteristic, complemented
121	#65330	C₂²	1	1	yes	characteristic, complemented
122	#65328	C₂²	1	1	yes	characteristic, complemented
123	#65326	C₂²	1	1	yes	characteristic, complemented
124	#65325	C₂²	1	1	yes	characteristic, complemented
125	#65324	C₂²	1	1	yes	characteristic, complemented
126	#65307	C₂²	1	1	yes	characteristic, complemented
127	#65305	C₂²	1	1	yes	characteristic, complemented
128	#65303	C₂²	1	1	yes	characteristic, complemented
129	#65300	C₂²	1	1	yes	characteristic, complemented
130	#65297	C₂²	1	1	yes	characteristic, complemented
131	#65260	C₂²	1	1	yes	characteristic, complemented
132	#65257	C₂²	1	1	yes	characteristic, complemented
133	#65255	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
135	#65159	C₂²	1	1	yes	characteristic, complemented
136	#65159	C₂²	1	1	yes	characteristic, complemented
137	#65157	C₂²	1	1	yes	characteristic, complemented
138	#65156	C₂²	1	1	yes	characteristic, complemented
139	#65155	C₂²	1	1	yes	characteristic, complemented
140	#65153	C₂²	1	1	yes	characteristic, complemented
141	#65152	C₂²	1	1	yes	characteristic, complemented
142	#65151	C₂²	1	1	yes	characteristic, complemented
143	#65150	C₂²	1	1	yes	characteristic, complemented
144	D₅×#106	C₂²	1	1	yes	characteristic, complemented
145	D₅×#106	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65134	C₂²	1	1	yes	characteristic, complemented
148	#65131	C₂²	1	1	yes	characteristic, complemented
149	#65125	C₂²	1	1	yes	characteristic, complemented
150	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#65105	C₂²	1	1	yes	characteristic, complemented
152	#65103	C₂²	1	1	yes	characteristic, complemented
153	#65099	C₂²	1	1	yes	characteristic, complemented
154	#65094	C₂²	1	1	yes	characteristic, complemented
155	#65093	C₂²	1	1	yes	characteristic, complemented
156	#65093	C₂²	1	1	yes	characteristic, complemented
157	#65092	C₂²	1	1	yes	characteristic, complemented
158	#65092	C₂²	1	1	yes	characteristic, complemented
159	#65092	C₂²	1	1	yes	characteristic, complemented
160	#65082	C₂²	1	1	yes	characteristic, complemented
161	#65081	C₂²	1	1	yes	characteristic, complemented
162	#65081	C₂²	1	1	yes	characteristic, complemented
163	#65073	C₂²	1	1	yes	characteristic, complemented
164	#65072	C₂²	1	1	yes	characteristic, complemented
165	#65071	C₂²	1	1	yes	characteristic, complemented
166	#65067	C₂²	1	1	yes	characteristic, complemented
167	#65067	C₂²	1	1	yes	characteristic, complemented
168	#65066	C₂²	1	1	yes	characteristic, complemented
169	#65065	C₂²	1	1	yes	characteristic, complemented
170	#65065	C₂²	1	1	yes	characteristic, complemented
171	#65061	C₂²	1	1	yes	characteristic, complemented
172	#65061	C₂²	1	1	yes	characteristic, complemented
173	#65060	C₂²	1	1	yes	characteristic, complemented
174	#65060	C₂²	1	1	yes	characteristic, complemented
175	#65060	C₂²	1	1	yes	characteristic, complemented
176	#65060	C₂²	1	1	yes	characteristic, complemented
177	#65059	C₂²	1	1	yes	characteristic
178	#65059	C₂²	1	1	yes	characteristic, complemented
179	#65059	C₂²	1	1	yes	characteristic, complemented
180	D₅×#102	C₂²	1	1	yes	characteristic
181	D₅×#102	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic, complemented
183	D₅×#102	C₂²	1	1	yes	characteristic, complemented
184	#65051	C₂²	1	1	yes	characteristic, complemented
185	#65050	C₂²	1	1	yes	characteristic, complemented
186	#65050	C₂²	1	1	yes	characteristic, complemented
187	#65049	C₂²	1	1	yes	characteristic, complemented
188	#65049	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65022	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65018	C₂²	1	1	yes	characteristic, complemented
195	#65016	C₂²	1	1	yes	characteristic, complemented
196	#65016	C₂²	1	1	yes	characteristic, complemented
197	#65014	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#65003	C₂²	1	1	yes	characteristic, complemented
200	#64999	C₂²	1	1	yes	characteristic, complemented
201	#64996	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61200	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	#4149	—	2	4	no	—
211	#4149	—	4	2	no	—
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₅	—	2	1	no	—
215	#4144	—	2	4	no	—
216	#4144	—	4	2	no	—
217	C₂×#711	—	2	1	no	—
218	C₂×#711	C₂³	1	1	yes	characteristic
219	C₂×#711	C₂³	1	1	yes	characteristic
220	C₂×#711	C₂³	1	1	yes	characteristic
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	—	2	1	no	—
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×#709	—	2	1	no	—
229	C₂×#709	—	2	1	no	—
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂×#709	C₂³	1	1	yes	characteristic
233	C₂²×D₂₀	—	2	1	no	—
234	C₂²×D₂₀	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅	—	2	1	no	—
236	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
240	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
241	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₅×#124	C₂³	1	1	yes	characteristic
243	C₅×#123	—	2	1	no	—
244	C₅×#123	—	2	1	no	—
245	C₅×#123	—	2	1	no	—
246	C₅×C₂²⋊Q₈	—	2	1	no	—
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×#121	—	2	1	no	—
249	C₅×#121	C₂³	1	1	yes	characteristic
250	C₅×#121	C₂³	1	1	yes	characteristic
251	C₅×#121	C₂³	1	1	yes	characteristic
252	C₅×#120	—	2	1	no	—
253	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
254	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
255	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
256	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
259	#4099	—	2	1	no	—
260	#4093	—	2	1	no	—
261	#4092	C₂³	1	1	yes	characteristic
262	Q₈×Dic₅	—	2	1	no	—
263	#4090	—	2	1	no	—
264	#4090	C₂³	1	1	yes	characteristic
265	C₂×#689	C₂³	1	1	yes	characteristic
266	#4086	D₄	1	1	yes	characteristic
267	#4086	C₂³	1	1	yes	characteristic
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4085	—	2	1	no	—
273	#4085	—	2	1	no	—
274	#4085	—	2	1	no	—
275	#4084	—	2	1	no	—
276	#4084	—	2	1	no	—
277	#4084	—	2	1	no	—
278	#4084	D₄	1	1	yes	characteristic
279	#4084	C₂³	1	1	yes	characteristic
280	#4084	C₂³	1	1	yes	characteristic
281	#4084	C₂³	1	1	yes	characteristic
282	#4083	—	2	1	no	—
283	#4083	—	2	1	no	—
284	#4083	—	2	1	no	—
285	#4082	—	2	1	no	—
286	#4082	—	2	1	no	—
287	#4082	—	2	1	no	—
288	#4081	—	2	1	no	—
289	D₄×Dic₅	C₂³	1	1	yes	characteristic
290	D₄×Dic₅	C₂³	1	1	yes	characteristic
291	C₂×#687	C₂³	1	1	yes	characteristic
292	C₂×#687	C₂³	1	1	yes	characteristic
293	C₂×#687	C₂³	1	1	yes	characteristic
294	C₂×#686	C₂³	1	1	yes	characteristic
295	C₂×#686	C₂³	1	1	yes	characteristic
296	#4076	—	2	1	no	—
297	#4076	C₂³	1	1	yes	characteristic
298	#4075	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₄×C₂²⋊D₅	—	2	1	no	—
301	C₄×C₂²⋊D₅	—	2	1	no	—
302	C₄×C₂²⋊D₅	—	2	1	no	—
303	C₄×C₂²⋊D₅	—	2	1	no	—
304	C₄×C₂²⋊D₅	—	2	1	no	—
305	C₄×C₂²⋊D₅	—	2	1	no	—
306	C₄×C₂²⋊D₅	—	2	1	no	—
307	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
308	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
309	C₂×#685	—	2	1	no	—
310	#4072	C₂³	1	1	yes	characteristic
311	#4072	C₂³	1	1	yes	characteristic
312	#4070	—	2	1	no	—
313	#4070	—	2	1	no	—
314	#4070	—	2	1	no	—
315	#4070	C₂³	1	1	yes	characteristic
316	#4070	C₂³	1	1	yes	characteristic
317	#4070	C₂³	1	1	yes	characteristic
318	C₂×#683	—	2	1	no	—
319	C₂×C₄×Dic₅	—	2	1	no	—
320	C₂×#681	C₂³	1	1	yes	characteristic
321	C₂²×#168	C₂³	1	1	yes	characteristic
322	#4062	—	4	2	no	—
323	#4058	—	4	2	no	—
324	#4057	—	2	4	no	—
325	#4053	—	4	2	no	—
326	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
327	C₂×#677	C₂³	1	1	yes	characteristic
328	C₂×#677	C₂³	1	1	yes	characteristic
329	#4047	—	4	2	no	—
330	C₂×#676	C₂³	1	1	yes	characteristic
331	C₂×#676	C₂³	1	1	yes	characteristic
332	C₂×#676	C₂³	1	1	yes	characteristic
333	C₂×#676	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
337	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
338	#4044	—	2	1	no	—
339	#4044	—	2	1	no	—
340	#4043	C₂³	1	1	yes	characteristic
341	#4043	C₂³	1	1	yes	characteristic
342	#4043	C₂³	1	1	yes	characteristic
343	#4042	—	2	1	no	—
344	#4042	—	2	1	no	—
345	#4042	—	2	1	no	—
346	#4041	—	2	1	no	—
347	#4041	D₄	1	1	yes	characteristic
348	#4041	C₂³	1	1	yes	characteristic
349	#4040	—	2	1	no	—
350	#4040	—	2	1	no	—
351	#4039	—	2	1	no	—
352	#4039	—	2	1	no	—
353	#4039	C₂³	1	1	yes	characteristic
354	#4038	C₂³	1	1	yes	characteristic
355	#4038	C₂³	1	1	yes	characteristic
356	#4038	C₂³	1	1	yes	characteristic
357	D₅×C₄⋊C₄	—	2	1	no	—
358	D₅×C₄⋊C₄	—	2	1	no	—
359	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
360	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
361	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
362	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
363	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
364	#4035	—	2	1	no	—
365	#4035	—	2	1	no	—
366	#4034	—	2	1	no	—
367	#4034	D₄	1	1	yes	characteristic
368	#4034	C₂³	1	1	yes	characteristic
369	#4034	C₂³	1	1	yes	characteristic
370	#4033	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4033	—	2	1	no	—
373	#4033	C₂³	1	1	yes	characteristic
374	#4032	—	2	1	no	—
375	#4031	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4031	D₄	1	1	yes	characteristic
378	#4031	D₄	1	1	yes	characteristic
379	#4030	—	2	1	no	—
380	#4030	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4030	—	2	1	no	—
384	#4030	—	2	1	no	—
385	#4030	—	2	1	no	—
386	#4030	—	2	1	no	—
387	#4030	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4030	D₄	1	1	yes	characteristic
391	#4030	D₄	1	1	yes	characteristic
392	#4029	—	2	1	no	—
393	#4029	—	2	1	no	—
394	#4029	—	2	1	no	—
395	#4029	—	2	1	no	—
396	#4028	—	2	1	no	—
397	#4028	—	2	1	no	—
398	#4028	—	2	1	no	—
399	#4027	—	2	1	no	—
400	#4027	—	2	1	no	—
401	#4027	—	2	1	no	—
402	#4027	—	2	1	no	—
403	D₅×C₂²⋊C₄	—	2	1	no	—
404	D₅×C₂²⋊C₄	—	2	1	no	—
405	D₅×C₂²⋊C₄	—	2	1	no	—
406	#4025	—	2	1	no	—
407	#4025	—	2	1	no	—
408	#4024	—	2	1	no	—
409	#4024	—	2	1	no	—
410	#4024	—	2	1	no	—
411	#4023	—	2	1	no	—
412	#4023	—	2	1	no	—
413	#4023	—	2	1	no	—
414	#4021	C₂³	1	1	yes	characteristic
415	C₄×D₂₀	C₂³	1	1	yes	characteristic
416	C₄×D₂₀	C₂³	1	1	yes	characteristic
417	C₄²×D₅	C₂³	1	1	yes	characteristic
418	#4015	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₅×#106	C₂³	1	1	yes	characteristic
421	C₅×#106	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#102	C₂³	1	1	yes	characteristic
428	C₅×#102	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3950	C₂³	1	1	yes	characteristic
460	#3949	C₂³	1	1	yes	characteristic
461	#3949	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	C₈×Dic₅	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3940	C₂³	1	1	yes	characteristic
484	#3940	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	#3511	—	5	1	no	—
489	#3496	—	5	1	no	—
490	#3331	—	5	1	no	—
491	#3331	—	5	1	no	—
492	#3325	—	5	1	no	—
493	#3325	—	5	1	no	—
494	#3311	—	5	1	no	—
495	#3311	—	5	1	no	—
496	#3311	—	5	1	no	—
497	#3311	—	5	1	no	—
498	#3306	—	5	1	no	—
499	#3306	—	5	1	no	—
500	#3306	—	5	1	no	—
501	#3306	D₅	1	1	yes	characteristic, complemented
502	#3303	—	5	1	no	—
503	#3303	—	5	1	no	—
504	#3295	—	5	1	no	—
505	#3295	—	5	1	no	—
506	#3141	—	5	1	no	—
507	#3099	—	5	1	no	—
508	#3099	—	5	1	no	—
509	C₂×#476	—	5	1	no	—
510	#3060	—	5	1	no	—
511	#3060	—	5	1	no	—
512	#3035	—	5	1	no	—
513	#3012	—	5	1	no	—
514	#3012	—	5	1	no	—
515	C₄×AGL(1,ℤ/8)	—	5	1	no	—
516	#2935	—	5	1	no	—
517	#2897	—	5	1	no	—
518	#2897	—	5	1	no	—
519	C₂⁴×C₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₅×#41	—	2	2	no	—
525	C₅×#41	—	4	1	no	—
526	C₅×#41	—	8	2	no	—
527	C₂×C₅×Q₈	—	2	1	no	—
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×D₄	—	2	2	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	—	4	1	no	—
536	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	—	2	1	no	—
544	C₂²×C₄×C₅	—	2	1	no	—
545	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
558	C₂×C₂²⋊D₅	—	2	1	no	—
559	C₂×C₂²⋊D₅	—	2	1	no	—
560	C₂×C₂²⋊D₅	—	4	4	no	—
561	C₂×C₂²⋊D₅	—	4	4	no	—
562	C₂×C₂²⋊D₅	—	8	2	no	—
563	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
569	C₂²×Dic₅	—	2	1	no	—
570	C₂²×Dic₅	—	2	1	no	—
571	C₂²×Dic₅	—	2	1	no	—
572	C₂²×Dic₅	—	2	1	no	—
573	C₂²×Dic₅	—	2	1	no	—
574	#713	—	2	2	no	—
575	#713	—	2	2	no	—
576	#713	—	2	2	no	—
577	#713	—	4	1	no	—
578	Q₈×D₅	—	8	2	no	—
579	#711	—	2	2	no	—
580	#711	—	2	2	no	—
581	#711	—	2	2	no	—
582	#711	—	2	2	no	—
583	#711	—	2	2	no	—
584	#711	—	4	1	no	—
585	#711	—	4	4	no	—
586	D₄×D₅	—	2	2	no	—
587	D₄×D₅	—	2	2	no	—
588	D₄×D₅	—	2	2	no	—
589	D₄×D₅	—	4	1	no	—
590	D₄×D₅	—	4	1	no	—
591	D₄×D₅	—	4	4	no	—
592	D₄×D₅	—	4	4	no	—
593	D₄×D₅	—	4	4	no	—
594	D₄×D₅	—	8	2	no	—
595	D₄×D₅	#41	1	4	yes	complemented
596	#709	—	2	2	no	—
597	#709	—	2	2	no	—
598	#709	—	2	2	no	—
599	#709	—	2	2	no	—
600	#709	—	2	2	no	—
601	#709	—	4	1	no	—
602	#709	—	4	4	no	—
603	#709	—	8	2	no	—
604	C₂×D₂₀	—	2	2	no	—
605	C₂×D₂₀	—	2	1	no	—
606	C₂×D₂₀	—	2	1	no	—
607	C₂×D₂₀	—	2	1	no	—
608	C₂×D₂₀	—	2	1	no	—
609	C₂×D₂₀	—	4	1	no	—
610	C₂×D₂₀	—	4	4	no	—
611	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
612	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
613	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
614	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
615	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₅	—	2	1	no	—
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	2	1	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	2	1	no	—
624	C₂×C₄×D₅	—	2	1	no	—
625	C₂×C₄×D₅	—	2	1	no	—
626	C₂×C₄×D₅	—	8	2	no	—
627	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
632	C₂×Dic₁₀	—	2	1	no	—
633	C₂×Dic₁₀	—	2	1	no	—
634	C₂×Dic₁₀	—	2	1	no	—
635	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
636	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
637	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
638	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
639	C₅×SD₁₆	—	4	1	no	—
640	C₅×D₈	—	2	2	no	—
641	C₅×D₈	—	4	1	no	—
642	C₅×M₁₆	—	4	1	no	—
643	C₂×C₅×C₈	—	4	1	no	—
644	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
645	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
646	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
647	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₅	C₂⁴	1	1	yes	characteristic
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	—	2	1	no	—
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
679	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
680	#689	—	4	1	no	—
681	#687	—	2	2	no	—
682	#687	—	4	1	no	—
683	#687	—	4	1	no	—
684	#686	—	2	2	no	—
685	#686	—	4	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	1	no	—
694	#685	—	2	1	no	—
695	#685	—	2	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	C₂×D₄	1	1	yes	characteristic
700	#685	C₂×D₄	1	1	yes	characteristic
701	#685	C₂×D₄	1	1	yes	characteristic
702	#685	C₂×D₄	1	1	yes	characteristic
703	C₄⋊Dic₅	—	2	1	no	—
704	C₄⋊Dic₅	—	2	1	no	—
705	C₄⋊Dic₅	—	2	1	no	—
706	C₄⋊Dic₅	—	2	1	no	—
707	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
708	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
709	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
712	#683	—	2	1	no	—
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	C₂×D₄	1	1	yes	characteristic
728	#683	C₂×D₄	1	1	yes	characteristic
729	C₄×Dic₅	—	2	1	no	—
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	—	2	1	no	—
734	C₄×Dic₅	—	2	1	no	—
735	C₄×Dic₅	—	2	1	no	—
736	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
737	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
738	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
739	#681	—	4	1	no	—
740	C₂×#168	—	4	1	no	—
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	C₂×#168	C₂⁴	1	1	yes	characteristic
745	Dic₂₀	—	4	1	no	—
746	#677	—	2	2	no	—
747	#677	—	4	1	no	—
748	#676	—	2	2	no	—
749	#676	—	2	2	no	—
750	#676	—	4	1	no	—
751	#676	—	4	1	no	—
752	C₈×D₅	—	2	2	no	—
753	C₈×D₅	—	2	2	no	—
754	C₈×D₅	—	4	1	no	—
755	C₈×D₅	—	4	1	no	—
756	C₂×H(5,𝔽₂)	—	5	1	no	—
757	C₂×H(5,𝔽₂)	—	5	1	no	—
758	C₂×AGL(1,ℤ/8)	—	5	1	no	—
759	C₂×#135	—	5	1	no	—
760	C₂×#135	—	5	1	no	—
761	C₂×#131	—	5	1	no	—
762	C₂×#131	—	5	1	no	—
763	#556	—	5	1	no	—
764	#556	—	5	1	no	—
765	#555	—	5	1	no	—
766	#555	—	5	1	no	—
767	#554	—	5	1	no	—
768	#554	—	5	1	no	—
769	#553	—	10	1	no	—
770	#553	—	10	1	no	—
771	#548	—	10	1	no	—
772	#548	—	10	1	no	—
773	#547	—	5	1	no	—
774	#547	—	5	1	no	—
775	#547	—	5	1	no	—
776	#547	—	10	1	no	—
777	#547	C₂×D₅	1	1	yes	characteristic, complemented
778	#546	—	5	1	no	—
779	#546	—	5	1	no	—
780	#546	—	5	1	no	—
781	#546	—	10	1	no	—
782	#546	—	10	1	no	—
783	#546	C₂×D₅	1	1	yes	characteristic
784	D₄²	—	5	1	no	—
785	D₄²	—	5	1	no	—
786	D₄²	—	10	1	no	—
787	#542	—	10	1	no	—
788	#542	—	10	1	no	—
789	#537	—	5	1	no	—
790	#537	—	5	1	no	—
791	#537	—	5	1	no	—
792	#537	—	5	1	no	—
793	#534	—	10	1	no	—
794	#534	—	10	1	no	—
795	#533	—	10	1	no	—
796	#532	—	5	1	no	—
797	#532	—	5	1	no	—
798	#532	—	10	1	no	—
799	C₂×C₄⋊Q₈	—	5	1	no	—
800	C₂×#121	—	10	1	no	—
801	C₂×#121	—	10	1	no	—
802	#520	—	5	1	no	—
803	#520	—	5	1	no	—
804	C₄×#41	—	5	1	no	—
805	C₂×C₄×D₄	—	5	1	no	—
806	#489	—	5	1	no	—
807	#489	—	5	1	no	—
808	#489	—	5	1	no	—
809	#489	C₂×D₅	1	1	yes	characteristic, complemented
810	#487	—	5	1	no	—
811	#487	—	5	1	no	—
812	#486	—	5	1	no	—
813	#486	—	5	1	no	—
814	#485	—	5	1	no	—
815	#485	—	5	1	no	—
816	#485	—	5	1	no	—
817	#485	—	5	1	no	—
818	#483	—	5	1	no	—
819	#483	—	5	1	no	—
820	#483	—	5	1	no	—
821	#483	C₂×D₅	1	1	yes	characteristic, complemented
822	#482	—	5	1	no	—
823	#482	—	5	1	no	—
824	#482	—	5	1	no	—
825	#482	—	5	1	no	—
826	#481	—	5	1	no	—
827	#481	—	5	1	no	—
828	#481	—	5	1	no	—
829	#481	C₂×D₅	1	1	yes	characteristic, complemented
830	#476	—	5	1	no	—
831	#476	—	5	1	no	—
832	#476	—	5	1	no	—
833	#476	—	5	1	no	—
834	#476	—	5	1	no	—
835	#476	—	5	1	no	—
836	#476	—	5	1	no	—
837	#476	C₂×D₅	1	1	yes	characteristic, complemented
838	#470	—	5	1	no	—
839	#470	—	5	1	no	—
840	#470	—	5	1	no	—
841	#470	—	5	1	no	—
842	#469	—	5	1	no	—
843	#469	—	5	1	no	—
844	#469	—	5	1	no	—
845	#469	C₂×D₅	1	1	yes	characteristic, complemented
846	#465	—	5	1	no	—
847	#465	—	5	1	no	—
848	#465	—	5	1	no	—
849	#465	—	5	1	no	—
850	#465	—	5	1	no	—
851	#465	—	5	1	no	—
852	#465	—	5	1	no	—
853	#465	C₂×D₅	1	1	yes	characteristic, complemented
854	#464	—	5	1	no	—
855	#464	—	5	1	no	—
856	#463	—	5	1	no	—
857	#463	C₂×D₅	1	1	yes	characteristic, complemented
858	#462	—	5	1	no	—
859	#461	—	5	1	no	—
860	#460	—	5	1	no	—
861	#459	—	5	1	no	—
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#452	—	5	1	no	—
865	#452	—	5	1	no	—
866	#450	—	5	1	no	—
867	#450	—	5	1	no	—
868	#450	—	5	1	no	—
869	#450	—	5	1	no	—
870	#449	—	5	1	no	—
871	#449	—	5	1	no	—
872	#449	—	5	1	no	—
873	#449	C₂×D₅	1	1	yes	characteristic, complemented
874	#447	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#447	C₂×D₅	1	1	yes	characteristic, complemented
878	#442	—	5	1	no	—
879	#442	C₂×D₅	1	1	yes	characteristic, complemented
880	#440	—	5	1	no	—
881	#440	—	5	1	no	—
882	C₄×SD₁₆	—	5	1	no	—
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×D₈	—	5	1	no	—
885	C₄×D₈	—	5	1	no	—
886	#436	—	5	1	no	—
887	#436	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	C₂×D₅	1	1	yes	characteristic, complemented
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	#428	—	5	1	no	—
895	C₂×#106	—	5	1	no	—
896	C₂×#106	—	5	1	no	—
897	C₂×C₄⋊C₈	—	5	1	no	—
898	#418	—	5	1	no	—
899	#418	—	5	1	no	—
900	#418	—	5	1	no	—
901	#418	—	5	1	no	—
902	#418	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	#417	—	5	1	no	—
906	#417	—	5	1	no	—
907	#417	—	5	1	no	—
908	#417	—	5	1	no	—
909	#417	—	5	1	no	—
910	#417	—	5	1	no	—
911	#417	C₂×D₅	1	1	yes	characteristic, complemented
912	#416	—	5	1	no	—
913	#416	—	5	1	no	—
914	#416	—	5	1	no	—
915	#416	—	5	1	no	—
916	#416	—	5	1	no	—
917	#416	—	5	1	no	—
918	C₂×#102	—	5	1	no	—
919	C₂×#102	—	5	1	no	—
920	C₂×#102	—	5	1	no	—
921	C₂×#102	—	5	1	no	—
922	C₂×#102	—	5	1	no	—
923	C₂×#102	C₂×D₅	1	1	yes	characteristic, complemented
924	#408	—	5	1	no	—
925	#408	—	5	1	no	—
926	C₄×M₁₆	—	5	1	no	—
927	C₂³×C₅	—	2	1	no	—
928	C₂³×C₅	—	2	1	no	—
929	C₂³×C₅	—	2	1	no	—
930	C₂³×C₅	—	4	2	no	—
931	C₂³×C₅	—	8	1	no	—
932	C₂³×C₅	—	8	1	no	—
933	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂²×D₅	—	2	1	no	—
936	C₂²×D₅	—	2	4	no	—
937	C₂²×D₅	—	2	1	no	—
938	C₂²×D₅	—	4	2	no	—
939	C₂²×D₅	—	4	2	no	—
940	C₂²×D₅	—	4	2	no	—
941	C₂²×D₅	—	8	1	no	—
942	C₂²×D₅	—	8	1	no	—
943	C₂²×D₅	—	8	1	no	—
944	C₂²×D₅	—	8	1	no	—
945	C₂²×D₅	—	8	1	no	—
946	C₂²×D₅	—	8	1	no	—
947	C₂²×D₅	—	8	1	no	—
948	C₂²×D₅	—	8	1	no	—
949	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
950	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
951	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
952	C₅×Q₈	—	2	1	no	—
953	C₅×Q₈	—	2	1	no	—
954	C₅×Q₈	—	4	2	no	—
955	C₅×D₄	—	2	1	no	—
956	C₅×D₄	—	2	1	no	—
957	C₅×D₄	—	2	1	no	—
958	C₅×D₄	—	2	1	no	—
959	C₅×D₄	—	2	1	no	—
960	C₅×D₄	—	4	1	no	—
961	C₅×D₄	—	4	2	no	—
962	C₅×D₄	—	4	2	no	—
963	C₅×D₄	—	8	1	no	—
964	C₅×D₄	—	8	1	no	—
965	C₅×D₄	—	8	1	no	—
966	C₅×D₄	C₂×#41	1	2	yes	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	2	1	no	—
971	C₂×C₄×C₅	—	2	1	no	—
972	C₂×C₄×C₅	—	2	1	no	—
973	C₂×C₄×C₅	—	2	1	no	—
974	C₂×C₄×C₅	—	2	1	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	4	2	no	—
977	C₂×C₄×C₅	—	4	2	no	—
978	C₂×C₄×C₅	—	8	1	no	—
979	C₂×C₄×C₅	—	8	1	no	—
980	C₂×C₄×C₅	—	8	1	no	—
981	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
984	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
985	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
986	C₂²⋊D₅	—	2	2	no	—
987	C₂²⋊D₅	—	2	2	no	—
988	C₂²⋊D₅	—	2	2	no	—
989	C₂²⋊D₅	—	2	2	no	—
990	C₂²⋊D₅	—	2	4	no	—
991	C₂²⋊D₅	—	2	2	no	—
992	C₂²⋊D₅	—	2	2	no	—
993	C₂²⋊D₅	—	4	2	no	—
994	C₂²⋊D₅	—	4	2	no	—
995	C₂²⋊D₅	—	4	2	no	—
996	C₂²⋊D₅	—	4	2	no	—
997	C₂²⋊D₅	—	4	2	no	—
998	C₂²⋊D₅	—	4	2	no	—
999	C₂²⋊D₅	—	4	2	no	—
1000	C₂²⋊D₅	—	8	1	no	—
1001	C₂²⋊D₅	—	8	1	no	—
1002	C₂²⋊D₅	—	8	1	no	—
1003	C₂²⋊D₅	—	8	1	no	—
1004	C₂²⋊D₅	—	8	1	no	—
1005	C₂×Dic₅	—	2	1	no	—
1006	C₂×Dic₅	—	2	1	no	—
1007	C₂×Dic₅	—	2	1	no	—
1008	C₂×Dic₅	—	2	1	no	—
1009	C₂×Dic₅	—	2	1	no	—
1010	C₂×Dic₅	—	2	1	no	—
1011	C₂×Dic₅	—	4	2	no	—
1012	C₂×Dic₅	—	4	2	no	—
1013	C₂×Dic₅	—	4	2	no	—
1014	C₂×Dic₅	—	4	2	no	—
1015	C₂×Dic₅	—	4	2	no	—
1016	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1017	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1018	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1020	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1021	D₂₀	—	2	2	no	—
1022	D₂₀	—	2	2	no	—
1023	D₂₀	—	2	1	no	—
1024	D₂₀	—	2	1	no	—
1025	D₂₀	—	2	1	no	—
1026	D₂₀	—	4	1	no	—
1027	D₂₀	—	4	2	no	—
1028	D₂₀	—	4	2	no	—
1029	D₂₀	—	4	2	no	—
1030	D₂₀	—	8	1	no	—
1031	D₂₀	C₂×#41	1	2	yes	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	2	1	no	—
1034	C₄×D₅	—	2	1	no	—
1035	C₄×D₅	—	2	1	no	—
1036	C₄×D₅	—	2	2	no	—
1037	C₄×D₅	—	4	1	no	—
1038	C₄×D₅	—	4	2	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	4	2	no	—
1041	C₄×D₅	—	4	2	no	—
1042	C₄×D₅	—	8	1	no	—
1043	C₄×D₅	—	8	1	no	—
1044	C₄×D₅	—	8	1	no	—
1045	C₄×D₅	—	8	1	no	—
1046	C₄×D₅	—	8	1	no	—
1047	C₄×D₅	—	8	1	no	—
1048	C₄×D₅	C₂×#41	1	2	yes	—
1049	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1050	Dic₁₀	—	2	2	no	—
1051	Dic₁₀	—	2	2	no	—
1052	Dic₁₀	—	2	1	no	—
1053	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	2	1	no	—
1055	Dic₁₀	—	2	1	no	—
1056	Dic₁₀	—	4	2	no	—
1057	Dic₁₀	—	8	1	no	—
1058	Dic₁₀	—	8	1	no	—
1059	C₅×C₈	—	2	1	no	—
1060	C₅×C₈	—	2	1	no	—
1061	C₅×C₈	—	2	1	no	—
1062	C₅×C₈	—	2	1	no	—
1063	#168	—	2	1	no	—
1064	#168	—	2	1	no	—
1065	#168	—	2	1	no	—
1066	#168	—	2	1	no	—
1067	H(5,𝔽₂)	—	10	4	no	—
1068	H(5,𝔽₂)	—	10	4	no	—
1069	H(5,𝔽₂)	—	20	2	no	—
1070	H(5,𝔽₂)	—	20	2	no	—
1071	C₂×#41	—	2	1	no	—
1072	C₂×#41	—	5	1	no	—
1073	C₂×#41	—	5	1	no	—
1074	C₂×#41	—	5	1	no	—
1075	C₂×#41	—	5	1	no	—
1076	C₂×#41	—	5	1	no	—
1077	C₂×#41	—	5	1	no	—
1078	C₂×#41	—	5	1	no	—
1079	C₂×#41	—	5	1	no	—
1080	C₂×#41	—	10	1	no	—
1081	C₂×#41	—	10	1	no	—
1082	C₂×#41	—	10	1	no	—
1083	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1084	C₂²×Q₈	—	10	1	no	—
1085	C₂²×D₄	—	5	1	no	—
1086	C₂²×D₄	—	5	1	no	—
1087	C₂²×D₄	—	5	1	no	—
1088	C₂²×D₄	—	5	1	no	—
1089	C₂²×D₄	—	10	1	no	—
1090	C₂²×D₄	—	10	1	no	—
1091	C₂²×D₄	—	10	1	no	—
1092	C₂²×D₄	—	10	1	no	—
1093	C₂²×D₄	—	10	1	no	—
1094	C₂²×D₄	—	10	1	no	—
1095	C₂²×D₄	—	10	1	no	—
1096	C₂²×D₄	—	10	1	no	—
1097	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1098	C₂³×C₄	—	10	1	no	—
1099	AGL(1,ℤ/8)	—	10	4	no	—
1100	#135	—	20	2	no	—
1101	#135	—	20	2	no	—
1102	C₂×Q₁₆	—	5	1	no	—
1103	C₂×Q₁₆	—	5	1	no	—
1104	C₂×SD₁₆	—	5	1	no	—
1105	C₂×SD₁₆	—	5	1	no	—
1106	C₂×SD₁₆	—	5	1	no	—
1107	C₂×SD₁₆	—	5	1	no	—
1108	C₂×SD₁₆	—	5	1	no	—
1109	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1110	C₂×D₈	—	5	1	no	—
1111	C₂×D₈	—	5	1	no	—
1112	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1113	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1114	#131	—	20	2	no	—
1115	#131	—	20	2	no	—
1116	C₂×M₁₆	—	5	1	no	—
1117	C₂×M₁₆	—	5	1	no	—
1118	C₂×M₁₆	—	5	1	no	—
1119	C₂×M₁₆	—	5	1	no	—
1120	C₂×M₁₆	—	5	1	no	—
1121	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1122	C₂²×C₈	—	5	1	no	—
1123	C₂²×C₈	—	5	1	no	—
1124	C₂²×C₈	—	5	1	no	—
1125	C₂²×C₈	—	5	1	no	—
1126	C₂²×C₈	—	5	1	no	—
1127	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1128	C₄⋊Q₈	—	5	1	no	—
1129	C₄⋊Q₈	—	5	1	no	—
1130	C₄⋊Q₈	—	5	1	no	—
1131	C₄⋊Q₈	—	5	1	no	—
1132	C₄⋊Q₈	—	5	1	no	—
1133	C₄⋊Q₈	—	10	1	no	—
1134	C₄⋊Q₈	—	10	1	no	—
1135	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1136	#127	—	5	1	no	—
1137	#127	—	5	1	no	—
1138	#126	—	10	1	no	—
1139	#126	—	10	1	no	—
1140	#126	—	10	1	no	—
1141	#126	—	10	1	no	—
1142	#125	—	10	1	no	—
1143	#125	—	10	1	no	—
1144	#124	—	5	1	no	—
1145	#124	—	5	1	no	—
1146	#124	—	5	1	no	—
1147	#124	—	10	1	no	—
1148	#124	—	10	1	no	—
1149	#124	—	10	1	no	—
1150	#124	—	10	1	no	—
1151	#124	—	10	1	no	—
1152	#124	—	10	1	no	—
1153	#124	C₂²×D₅	1	1	yes	characteristic
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	10	1	no	—
1158	#123	—	10	1	no	—
1159	#123	—	10	1	no	—
1160	#123	—	10	1	no	—
1161	#123	—	10	1	no	—
1162	#123	—	10	1	no	—
1163	#123	—	10	1	no	—
1164	#123	—	10	1	no	—
1165	#123	—	10	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	—	5	1	no	—
1168	C₂²⋊Q₈	—	5	1	no	—
1169	C₂²⋊Q₈	—	5	1	no	—
1170	C₂²⋊Q₈	—	5	1	no	—
1171	C₂²⋊Q₈	—	5	1	no	—
1172	C₂²⋊Q₈	—	5	1	no	—
1173	C₂²⋊Q₈	—	5	1	no	—
1174	C₂²⋊Q₈	—	10	1	no	—
1175	C₂²⋊Q₈	—	10	1	no	—
1176	C₂²⋊Q₈	—	10	1	no	—
1177	C₂²⋊Q₈	—	10	1	no	—
1178	C₂²⋊Q₈	—	10	1	no	—
1179	C₂²⋊Q₈	—	10	1	no	—
1180	C₂²⋊Q₈	—	10	1	no	—
1181	C₂²⋊Q₈	—	10	1	no	—
1182	C₂²⋊Q₈	—	10	1	no	—
1183	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1184	#121	—	2	1	no	—
1185	#121	—	5	1	no	—
1186	#121	—	5	1	no	—
1187	#121	—	5	1	no	—
1188	#121	—	5	1	no	—
1189	#121	—	5	1	no	—
1190	#121	—	5	1	no	—
1191	#121	—	5	1	no	—
1192	#121	—	5	1	no	—
1193	#121	—	5	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	—	10	1	no	—
1202	#121	—	10	1	no	—
1203	#121	—	10	1	no	—
1204	#121	—	10	1	no	—
1205	#121	—	10	1	no	—
1206	#121	—	10	1	no	—
1207	#121	—	10	1	no	—
1208	#121	—	10	1	no	—
1209	#121	—	10	1	no	—
1210	#121	—	10	1	no	—
1211	#121	—	10	1	no	—
1212	#121	—	10	1	no	—
1213	#121	—	10	1	no	—
1214	#121	—	10	1	no	—
1215	#121	—	10	1	no	—
1216	#121	—	10	1	no	—
1217	#121	C₂²×D₅	1	1	yes	characteristic
1218	#121	C₂²×D₅	1	1	yes	characteristic
1219	#121	C₂²×D₅	1	1	yes	characteristic
1220	#120	—	2	1	no	—
1221	#120	—	10	1	no	—
1222	#120	—	10	1	no	—
1223	#120	—	10	1	no	—
1224	#120	—	10	1	no	—
1225	#120	—	10	1	no	—
1226	#120	—	10	1	no	—
1227	#120	—	10	1	no	—
1228	C₄×Q₈	—	5	1	no	—
1229	C₄×Q₈	—	5	1	no	—
1230	C₄×Q₈	—	10	1	no	—
1231	C₄×Q₈	—	10	1	no	—
1232	C₄×Q₈	—	10	1	no	—
1233	C₄×Q₈	—	10	1	no	—
1234	C₄×D₄	—	5	1	no	—
1235	C₄×D₄	—	5	1	no	—
1236	C₄×D₄	—	5	1	no	—
1237	C₄×D₄	—	5	1	no	—
1238	C₄×D₄	—	5	1	no	—
1239	C₄×D₄	—	5	1	no	—
1240	C₄×D₄	—	5	1	no	—
1241	C₄×D₄	—	10	1	no	—
1242	C₄×D₄	—	10	1	no	—
1243	C₄×D₄	—	10	1	no	—
1244	C₄×D₄	—	10	1	no	—
1245	C₄×D₄	—	10	1	no	—
1246	C₄×D₄	—	10	1	no	—
1247	C₄×D₄	—	10	1	no	—
1248	C₄×D₄	—	10	1	no	—
1249	C₄×D₄	—	10	1	no	—
1250	C₄×D₄	—	10	1	no	—
1251	C₄×D₄	—	10	1	no	—
1252	C₄×D₄	—	10	1	no	—
1253	C₄×D₄	—	10	1	no	—
1254	C₄×D₄	—	10	1	no	—
1255	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1256	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1257	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1258	#117	—	5	1	no	—
1259	#117	—	5	1	no	—
1260	#117	—	5	1	no	—
1261	#117	—	5	1	no	—
1262	#117	—	5	1	no	—
1263	#117	—	10	1	no	—
1264	#117	—	10	1	no	—
1265	#117	—	10	1	no	—
1266	C₂×C₄⋊C₄	—	5	1	no	—
1267	C₂×C₄⋊C₄	—	5	1	no	—
1268	C₂×C₄⋊C₄	—	5	1	no	—
1269	C₂×C₄⋊C₄	—	5	1	no	—
1270	C₂×C₄⋊C₄	—	5	1	no	—
1271	C₂×C₄⋊C₄	—	10	1	no	—
1272	C₂×C₄⋊C₄	—	10	1	no	—
1273	C₂×C₄⋊C₄	—	10	1	no	—
1274	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1275	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1276	C₂×C₂²⋊C₄	—	2	1	no	—
1277	C₂×C₂²⋊C₄	—	10	1	no	—
1278	C₂×C₂²⋊C₄	—	10	1	no	—
1279	C₂×C₂²⋊C₄	—	10	1	no	—
1280	C₂×C₂²⋊C₄	—	10	1	no	—
1281	C₂×C₄²	—	5	1	no	—
1282	C₂×C₄²	—	10	1	no	—
1283	#107	—	5	1	no	—
1284	#107	—	5	1	no	—
1285	#106	—	5	1	no	—
1286	#106	—	5	1	no	—
1287	#106	—	5	1	no	—
1288	#106	—	5	1	no	—
1289	#106	—	5	1	no	—
1290	#106	—	5	1	no	—
1291	#106	—	5	1	no	—
1292	#106	C₂²×D₅	1	1	yes	characteristic
1293	#106	C₂²×D₅	1	1	yes	characteristic
1294	#106	C₂²×D₅	1	1	yes	characteristic
1295	C₄⋊C₈	—	5	1	no	—
1296	C₄⋊C₈	—	5	1	no	—
1297	C₄⋊C₈	—	5	1	no	—
1298	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	—	5	1	no	—
1307	#103	—	5	1	no	—
1308	#103	—	5	1	no	—
1309	#103	—	5	1	no	—
1310	#103	C₂²×D₅	1	1	yes	characteristic
1311	#103	C₂²×D₅	1	1	yes	characteristic
1312	#103	C₂²×D₅	1	1	yes	characteristic
1313	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	—	5	1	no	—
1330	#102	—	5	1	no	—
1331	#102	—	5	1	no	—
1332	#102	C₂²×D₅	1	1	yes	characteristic
1333	#102	C₂²×D₅	1	1	yes	characteristic
1334	#102	C₂²×D₅	1	1	yes	characteristic
1335	#102	C₂²×D₅	1	1	yes	characteristic
1336	#102	C₂²×D₅	1	1	yes	characteristic
1337	#102	C₂²×D₅	1	1	yes	characteristic
1338	#102	C₂²×D₅	1	1	yes	characteristic
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	—	5	1	no	—
1341	C₂²⋊C₈	—	5	1	no	—
1342	C₂²⋊C₈	—	5	1	no	—
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1346	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1347	#97	—	5	1	no	—
1348	#97	C₂²×D₅	1	1	yes	characteristic
1349	C₄×C₈	—	5	1	no	—
1350	C₄×C₈	—	5	1	no	—
1351	C₂²×C₅	—	2	1	no	—
1352	C₂²×C₅	—	2	1	no	—
1353	C₂²×C₅	—	2	2	no	—
1354	C₂²×C₅	—	2	1	no	—
1355	C₂²×C₅	—	2	1	no	—
1356	C₂²×C₅	—	2	1	no	—
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	—	4	1	no	—
1359	C₂²×C₅	—	4	1	no	—
1360	C₂²×C₅	—	4	1	no	—
1361	C₂²×C₅	—	4	1	no	—
1362	C₂²×C₅	—	4	1	no	—
1363	C₂²×C₅	—	4	1	no	—
1364	C₂²×C₅	—	4	1	no	—
1365	C₂²×C₅	—	4	1	no	—
1366	C₂²×C₅	—	16	2	no	—
1367	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1368	C₂×D₅	—	2	1	no	—
1369	C₂×D₅	—	2	1	no	—
1370	C₂×D₅	—	2	1	no	—
1371	C₂×D₅	—	2	1	no	—
1372	C₂×D₅	—	2	1	no	—
1373	C₂×D₅	—	2	1	no	—
1374	C₂×D₅	—	2	2	no	—
1375	C₂×D₅	—	2	1	no	—
1376	C₂×D₅	—	2	1	no	—
1377	C₂×D₅	—	4	1	no	—
1378	C₂×D₅	—	4	1	no	—
1379	C₂×D₅	—	4	1	no	—
1380	C₂×D₅	—	4	1	no	—
1381	C₂×D₅	—	4	1	no	—
1382	C₂×D₅	—	8	4	no	—
1383	C₂×D₅	—	16	2	no	—
1384	C₂×D₅	—	16	2	no	—
1385	C₂×D₅	—	16	2	no	—
1386	C₂×D₅	#546	1	2	yes	—
1387	C₄×C₅	—	2	1	no	—
1388	C₄×C₅	—	2	1	no	—
1389	C₄×C₅	—	2	1	no	—
1390	C₄×C₅	—	2	1	no	—
1391	C₄×C₅	—	4	1	no	—
1392	C₄×C₅	—	4	1	no	—
1393	C₄×C₅	—	4	1	no	—
1394	C₄×C₅	—	4	1	no	—
1395	C₄×C₅	—	4	1	no	—
1396	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1397	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1398	Dic₅	—	2	1	no	—
1399	Dic₅	—	2	1	no	—
1400	Dic₅	—	2	1	no	—
1401	Dic₅	—	4	1	no	—
1402	Dic₅	—	4	1	no	—
1403	Dic₅	—	4	1	no	—
1404	Dic₅	—	4	1	no	—
1405	Dic₅	—	4	1	no	—
1406	Dic₅	—	4	1	no	—
1407	Dic₅	#546	1	2	yes	—
1408	Dic₅	#577	1	2	yes	—
1409	C₂⁴	—	2	1	no	—
1410	C₂⁴	—	10	1	no	—
1411	C₂⁴	—	10	1	no	—
1412	C₂⁴	—	10	1	no	—
1413	C₂⁴	—	10	1	no	—
1414	#41	—	2	2	no	—
1415	#41	—	4	1	no	—
1416	#41	—	8	2	no	—
1417	#41	—	10	2	no	—
1418	#41	—	10	2	no	—
1419	#41	—	10	2	no	—
1420	#41	—	10	2	no	—
1421	#41	—	10	2	no	—
1422	#41	—	10	2	no	—
1423	#41	—	10	2	no	—
1424	#41	—	10	2	no	—
1425	#41	—	10	2	no	—
1426	#41	—	10	2	no	—
1427	#41	—	10	2	no	—
1428	#41	—	10	2	no	—
1429	#41	—	10	2	no	—
1430	#41	—	20	1	no	—
1431	#41	—	20	4	no	—
1432	#41	—	20	1	no	—
1433	#41	—	20	1	no	—
1434	#41	—	20	4	no	—
1435	#41	—	40	2	no	—
1436	C₂×Q₈	—	2	1	no	—
1437	C₂×Q₈	—	5	1	no	—
1438	C₂×Q₈	—	5	1	no	—
1439	C₂×Q₈	—	5	1	no	—
1440	C₂×Q₈	—	5	1	no	—
1441	C₂×Q₈	—	10	1	no	—
1442	C₂×Q₈	—	10	1	no	—
1443	C₂×Q₈	—	10	1	no	—
1444	C₂×Q₈	—	40	2	no	—
1445	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1446	C₂×D₄	—	2	2	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	4	1	no	—
1453	C₂×D₄	—	5	4	no	—
1454	C₂×D₄	—	5	1	no	—
1455	C₂×D₄	—	5	1	no	—
1456	C₂×D₄	—	5	1	no	—
1457	C₂×D₄	—	5	1	no	—
1458	C₂×D₄	—	5	1	no	—
1459	C₂×D₄	—	5	1	no	—
1460	C₂×D₄	—	5	1	no	—
1461	C₂×D₄	—	5	1	no	—
1462	C₂×D₄	—	5	1	no	—
1463	C₂×D₄	—	5	1	no	—
1464	C₂×D₄	—	5	1	no	—
1465	C₂×D₄	—	10	2	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	1	no	—
1469	C₂×D₄	—	10	2	no	—
1470	C₂×D₄	—	10	1	no	—
1471	C₂×D₄	—	10	1	no	—
1472	C₂×D₄	—	10	1	no	—
1473	C₂×D₄	—	10	1	no	—
1474	C₂×D₄	—	10	1	no	—
1475	C₂×D₄	—	10	2	no	—
1476	C₂×D₄	—	10	2	no	—
1477	C₂×D₄	—	10	1	no	—
1478	C₂×D₄	—	10	1	no	—
1479	C₂×D₄	—	10	1	no	—
1480	C₂×D₄	—	10	1	no	—
1481	C₂×D₄	—	10	1	no	—
1482	C₂×D₄	—	10	1	no	—
1483	C₂×D₄	—	10	1	no	—
1484	C₂×D₄	—	10	1	no	—
1485	C₂×D₄	—	10	1	no	—
1486	C₂×D₄	—	20	1	no	—
1487	C₂×D₄	—	20	4	no	—
1488	C₂×D₄	—	20	1	no	—
1489	C₂×D₄	—	20	1	no	—
1490	C₂×D₄	—	20	4	no	—
1491	C₂×D₄	—	20	4	no	—
1492	C₂×D₄	—	20	4	no	—
1493	C₂×D₄	—	20	4	no	—
1494	C₂×D₄	—	20	4	no	—
1495	C₂×D₄	—	40	2	no	—
1496	C₂×D₄	—	40	2	no	—
1497	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1498	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1499	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1500	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	2	1	no	—
1504	C₂²×C₄	—	2	1	no	—
1505	C₂²×C₄	—	2	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	—	10	1	no	—
1512	C₂²×C₄	—	10	1	no	—
1513	C₂²×C₄	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	10	1	no	—
1518	C₂²×C₄	—	10	1	no	—
1519	C₂²×C₄	—	10	1	no	—
1520	C₂²×C₄	—	10	1	no	—
1521	C₂²×C₄	—	10	1	no	—
1522	C₂²×C₄	—	10	1	no	—
1523	C₂²×C₄	—	10	1	no	—
1524	C₂²×C₄	—	10	1	no	—
1525	C₂²×C₄	—	10	1	no	—
1526	C₂²×C₄	—	40	2	no	—
1527	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1528	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1529	Q₁₆	—	20	1	no	—
1530	Q₁₆	—	20	1	no	—
1531	SD₁₆	—	4	1	no	—
1532	SD₁₆	—	10	2	no	—
1533	SD₁₆	—	10	2	no	—
1534	SD₁₆	—	20	1	no	—
1535	SD₁₆	—	20	1	no	—
1536	SD₁₆	—	20	1	no	—
1537	D₈	—	2	2	no	—
1538	D₈	—	4	1	no	—
1539	D₈	—	10	2	no	—
1540	D₈	—	20	1	no	—
1541	M₁₆	—	4	1	no	—
1542	M₁₆	—	10	2	no	—
1543	M₁₆	—	10	2	no	—
1544	M₁₆	—	20	1	no	—
1545	M₁₆	—	20	1	no	—
1546	M₁₆	—	20	1	no	—
1547	C₂×C₈	—	4	1	no	—
1548	C₂×C₈	—	5	1	no	—
1549	C₂×C₈	—	5	1	no	—
1550	C₂×C₈	—	5	1	no	—
1551	C₂×C₈	—	5	1	no	—
1552	C₂×C₈	—	10	2	no	—
1553	C₂×C₈	—	10	2	no	—
1554	C₂×C₈	—	20	1	no	—
1555	C₂×C₈	—	20	1	no	—
1556	C₂×C₈	—	20	1	no	—
1557	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1558	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	5	1	no	—
1566	C₄⋊C₄	—	5	1	no	—
1567	C₄⋊C₄	—	5	1	no	—
1568	C₄⋊C₄	—	5	1	no	—
1569	C₄⋊C₄	—	5	1	no	—
1570	C₄⋊C₄	—	5	1	no	—
1571	C₄⋊C₄	—	5	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	—	10	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1593	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1594	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1595	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	5	1	no	—
1605	C₂²⋊C₄	—	5	1	no	—
1606	C₂²⋊C₄	—	5	1	no	—
1607	C₂²⋊C₄	—	5	1	no	—
1608	C₂²⋊C₄	—	5	1	no	—
1609	C₂²⋊C₄	—	5	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1634	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1635	C₄²	—	5	1	no	—
1636	C₄²	—	5	1	no	—
1637	C₄²	—	5	1	no	—
1638	C₄²	—	10	1	no	—
1639	C₄²	—	10	1	no	—
1640	C₄²	—	10	1	no	—
1641	C₄²	—	10	1	no	—
1642	C₄²	—	10	1	no	—
1643	C₄²	—	10	1	no	—
1644	C₄²	—	10	1	no	—
1645	C₄²	C₂³×D₅	1	1	yes	characteristic
1646	C₂×C₅	—	4	2	no	—
1647	C₂×C₅	—	4	1	no	—
1648	C₂×C₅	—	4	1	no	—
1649	C₂×C₅	—	8	1	no	—
1650	C₂×C₅	—	8	1	no	—
1651	C₂×C₅	C₂×#546	1	1	yes	characteristic
1652	C₂×C₅	C₂×#577	1	1	yes	characteristic
1653	C₂×C₅	#3585	1	1	yes	characteristic
1654	D₅	—	2	2	no	—
1655	D₅	—	4	1	no	—
1656	D₅	—	4	1	no	—
1657	D₅	—	4	2	no	—
1658	D₅	—	8	1	no	—
1659	C₂³	—	2	1	no	—
1660	C₂³	—	2	1	no	—
1661	C₂³	—	2	1	no	—
1662	C₂³	—	4	2	no	—
1663	C₂³	—	5	1	no	—
1664	C₂³	—	5	1	no	—
1665	C₂³	—	5	1	no	—
1666	C₂³	—	8	1	no	—
1667	C₂³	—	8	1	no	—
1668	C₂³	—	10	4	no	—
1669	C₂³	—	10	1	no	—
1670	C₂³	—	10	1	no	—
1671	C₂³	—	20	2	no	—
1672	C₂³	—	20	2	no	—
1673	C₂³	—	20	2	no	—
1674	C₂³	—	40	1	no	—
1675	C₂³	—	40	1	no	—
1676	C₂³	—	40	1	no	—
1677	C₂³	—	40	1	no	—
1678	C₂³	—	40	1	no	—
1679	C₂³	—	40	1	no	—
1680	C₂³	—	40	1	no	—
1681	C₂³	—	40	1	no	—
1682	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1683	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	4	2	no	—
1687	Q₈	—	10	2	no	—
1688	Q₈	—	10	2	no	—
1689	Q₈	—	10	1	no	—
1690	Q₈	—	10	1	no	—
1691	Q₈	—	10	1	no	—
1692	Q₈	—	10	1	no	—
1693	Q₈	—	20	2	no	—
1694	Q₈	—	40	1	no	—
1695	Q₈	—	40	1	no	—
1696	D₄	—	2	1	no	—
1697	D₄	—	2	1	no	—
1698	D₄	—	2	1	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	4	1	no	—
1702	D₄	—	4	2	no	—
1703	D₄	—	4	2	no	—
1704	D₄	—	5	2	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	10	2	no	—
1709	D₄	—	10	2	no	—
1710	D₄	—	10	4	no	—
1711	D₄	—	10	2	no	—
1712	D₄	—	10	2	no	—
1713	D₄	—	10	2	no	—
1714	D₄	—	10	2	no	—
1715	D₄	—	10	2	no	—
1716	D₄	—	10	2	no	—
1717	D₄	—	10	1	no	—
1718	D₄	—	10	1	no	—
1719	D₄	—	10	1	no	—
1720	D₄	—	20	1	no	—
1721	D₄	—	20	2	no	—
1722	D₄	—	20	2	no	—
1723	D₄	—	20	2	no	—
1724	D₄	—	20	2	no	—
1725	D₄	—	20	2	no	—
1726	D₄	—	20	2	no	—
1727	D₄	—	20	2	no	—
1728	D₄	—	20	2	no	—
1729	D₄	—	20	2	no	—
1730	D₄	—	20	2	no	—
1731	D₄	—	40	1	no	—
1732	D₄	—	40	1	no	—
1733	D₄	—	40	1	no	—
1734	D₄	—	40	1	no	—
1735	D₄	—	40	1	no	—
1736	D₄	—	40	1	no	—
1737	D₄	D₅×#41	1	2	yes	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	4	2	no	—
1748	C₂×C₄	—	4	2	no	—
1749	C₂×C₄	—	5	1	no	—
1750	C₂×C₄	—	5	1	no	—
1751	C₂×C₄	—	5	2	no	—
1752	C₂×C₄	—	5	2	no	—
1753	C₂×C₄	—	5	1	no	—
1754	C₂×C₄	—	5	1	no	—
1755	C₂×C₄	—	5	1	no	—
1756	C₂×C₄	—	8	1	no	—
1757	C₂×C₄	—	8	1	no	—
1758	C₂×C₄	—	8	1	no	—
1759	C₂×C₄	—	10	2	no	—
1760	C₂×C₄	—	10	1	no	—
1761	C₂×C₄	—	10	1	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	1	no	—
1765	C₂×C₄	—	10	1	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	10	1	no	—
1768	C₂×C₄	—	10	1	no	—
1769	C₂×C₄	—	10	1	no	—
1770	C₂×C₄	—	20	1	no	—
1771	C₂×C₄	—	20	2	no	—
1772	C₂×C₄	—	20	2	no	—
1773	C₂×C₄	—	20	2	no	—
1774	C₂×C₄	—	20	2	no	—
1775	C₂×C₄	—	20	2	no	—
1776	C₂×C₄	—	20	2	no	—
1777	C₂×C₄	—	20	2	no	—
1778	C₂×C₄	—	20	2	no	—
1779	C₂×C₄	—	20	2	no	—
1780	C₂×C₄	—	40	1	no	—
1781	C₂×C₄	—	40	1	no	—
1782	C₂×C₄	—	40	1	no	—
1783	C₂×C₄	—	40	1	no	—
1784	C₂×C₄	—	40	1	no	—
1785	C₂×C₄	—	40	1	no	—
1786	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1787	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1788	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1790	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1791	C₈	—	2	1	no	—
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	10	1	no	—
1796	C₈	—	10	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₅	#61200	1	1	yes	characteristic, complemented, Sylow
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	2	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	5	2	no	—
1816	C₂²	—	10	1	no	—
1817	C₂²	—	10	1	no	—
1818	C₂²	—	10	1	no	—
1819	C₂²	—	10	1	no	—
1820	C₂²	—	10	2	no	—
1821	C₂²	—	10	1	no	—
1822	C₂²	—	10	1	no	—
1823	C₂²	—	10	1	no	—
1824	C₂²	—	10	1	no	—
1825	C₂²	—	16	2	no	—
1826	C₂²	—	20	1	no	—
1827	C₂²	—	20	1	no	—
1828	C₂²	—	20	1	no	—
1829	C₂²	—	20	1	no	—
1830	C₂²	—	20	1	no	—
1831	C₂²	—	40	4	no	—
1832	C₂²	—	80	2	no	—
1833	C₂²	—	80	2	no	—
1834	C₂²	—	80	2	no	—
1835	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	5	2	no	—
1846	C₄	—	5	2	no	—
1847	C₄	—	10	1	no	—
1848	C₄	—	10	1	no	—
1849	C₄	—	10	1	no	—
1850	C₄	—	20	1	no	—
1851	C₄	—	20	1	no	—
1852	C₄	—	20	1	no	—
1853	C₄	—	20	1	no	—
1854	C₄	—	20	1	no	—
1855	C₄	—	20	1	no	—
1856	C₄	C₂×D₅×#41	1	1	yes	characteristic
1857	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	4	2	no	—
1861	C₂	—	8	1	no	—
1862	C₂	—	8	1	no	—
1863	C₂	—	10	2	no	—
1864	C₂	—	20	1	no	—
1865	C₂	—	20	1	no	—
1866	C₂	—	20	2	no	—
1867	C₂	—	40	1	no	—
1868	C₂	D₅×#546	1	1	yes	characteristic
1869	C₂	#10619093	1	1	yes	characteristic
1870	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3306	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3306	D₅
hypocenter	C₅	#61200
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3306

Complements

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

N	H ≅ G/N	type
1. #10618581	C₂	semidirect
2. #10618566	C₂	semidirect
3. C₅×#3306	C₂	semidirect
4. #10615257	C₂	semidirect
5. #10615228	C₂	semidirect
6. #10613429	C₂	semidirect
7. #10613414	C₂	semidirect
8. #10613178	C₂	semidirect
9. #10613161	C₂	semidirect
10. #10613073	C₂	semidirect
11. #10613059	C₂	semidirect
12. #10612809	C₂	semidirect
13. D₅×#476	C₂	semidirect
14. #10612615	C₂	semidirect
15. #10612597	C₂	semidirect
16. #10612413	C₂	semidirect
17. #10612391	C₂	semidirect
18. #10612292	C₂	semidirect
19. #10612264	C₂	semidirect
20. #10611835	C₂	semidirect
21. #10611818	C₂	semidirect
22. #10611752	C₂	semidirect
23. #10611736	C₂	semidirect
24. #10611611	C₂	semidirect
25. #10611596	C₂	semidirect
26. #10611233	C₂	semidirect
27. #10611215	C₂	semidirect
28. #10610638	C₂	semidirect
29. #10610613	C₂	semidirect
30. #10610489	C₂	semidirect
31. #10610473	C₂	semidirect
34. C₅×#547	C₂²	semidirect
40. C₂×#4062	C₂²	semidirect
41. C₂×#4058	C₂²	semidirect
43. C₂×#4053	C₂²	semidirect
44. C₂×#4047	C₂²	semidirect
45. #66066	C₂²	semidirect
46. D₅×C₄⋊Q₈	C₂²	semidirect
59. #65950	C₂²	semidirect
60. #65950	C₂²	semidirect
64. #65942	C₂²	semidirect
65. #65942	C₂²	semidirect
70. #65885	C₂²	semidirect
74. #65876	C₂²	semidirect
75. C₄×#711	C₂²	semidirect
76. #65845	C₂²	semidirect
77. #65845	C₂²	semidirect
78. #65838	C₂²	semidirect
79. #65838	C₂²	semidirect
82. C₅×#489	C₂²	semidirect
83. C₅×#483	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#476	C₂²	semidirect
86. C₅×#469	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#463	C₂²	semidirect
89. C₅×#449	C₂²	semidirect
90. C₅×#447	C₂²	semidirect
91. C₅×#442	C₂²	semidirect
92. C₅×#435	C₂²	semidirect
93. C₅×#417	C₂²	semidirect
94. C₂×C₅×#102	C₂²	semidirect
95. #65528	C₂²	semidirect
96. #65522	C₂²	semidirect
97. #65507	C₂²	semidirect
98. #65504	C₂²	semidirect
99. #65461	C₂²	semidirect
100. #65460	C₂²	semidirect
101. #65451	C₂²	semidirect
102. #65448	C₂²	semidirect
103. #65447	C₂²	semidirect
104. #65445	C₂²	semidirect
105. #65445	C₂²	semidirect
106. #65439	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65426	C₂²	semidirect
109. #65420	C₂²	semidirect
110. #65417	C₂²	semidirect
111. #65403	C₂²	semidirect
112. #65402	C₂²	semidirect
113. C₈×C₂²⋊D₅	C₂²	semidirect
114. #65378	C₂²	semidirect
115. #65373	C₂²	semidirect
116. #65344	C₂²	semidirect
117. #65343	C₂²	semidirect
118. #65341	C₂²	semidirect
119. #65334	C₂²	semidirect
120. #65330	C₂²	semidirect
121. #65330	C₂²	semidirect
122. #65328	C₂²	semidirect
123. #65326	C₂²	semidirect
124. #65325	C₂²	semidirect
125. #65324	C₂²	semidirect
126. #65307	C₂²	semidirect
127. #65305	C₂²	semidirect
128. #65303	C₂²	semidirect
129. #65300	C₂²	semidirect
130. #65297	C₂²	semidirect
131. #65260	C₂²	semidirect
132. #65257	C₂²	semidirect
133. #65255	C₂²	semidirect
134. C₂×#3941	C₂²	semidirect
135. #65159	C₂²	semidirect
136. #65159	C₂²	semidirect
137. #65157	C₂²	semidirect
138. #65156	C₂²	semidirect
139. #65155	C₂²	semidirect
140. #65153	C₂²	semidirect
141. #65152	C₂²	semidirect
142. #65151	C₂²	semidirect
143. #65150	C₂²	semidirect
144. D₅×#106	C₂²	semidirect
145. D₅×#106	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65134	C₂²	semidirect
148. #65131	C₂²	semidirect
149. #65125	C₂²	semidirect
150. D₅×C₄⋊C₈	C₂²	semidirect
151. #65105	C₂²	semidirect
152. #65103	C₂²	semidirect
153. #65099	C₂²	semidirect
154. #65094	C₂²	semidirect
155. #65093	C₂²	semidirect
156. #65093	C₂²	semidirect
157. #65092	C₂²	semidirect
158. #65092	C₂²	semidirect
159. #65092	C₂²	semidirect
160. #65082	C₂²	semidirect
161. #65081	C₂²	semidirect
162. #65081	C₂²	semidirect
163. #65073	C₂²	semidirect
164. #65072	C₂²	semidirect
165. #65071	C₂²	semidirect
166. #65067	C₂²	semidirect
167. #65067	C₂²	semidirect
168. #65066	C₂²	semidirect
169. #65065	C₂²	semidirect
170. #65065	C₂²	semidirect
171. #65061	C₂²	semidirect
172. #65061	C₂²	semidirect
173. #65060	C₂²	semidirect
174. #65060	C₂²	semidirect
175. #65060	C₂²	semidirect
176. #65060	C₂²	semidirect
178. #65059	C₂²	semidirect
179. #65059	C₂²	semidirect
182. D₅×#102	C₂²	semidirect
183. D₅×#102	C₂²	semidirect
184. #65051	C₂²	semidirect
185. #65050	C₂²	semidirect
186. #65050	C₂²	semidirect
187. #65049	C₂²	semidirect
188. #65049	C₂²	semidirect
189. #65047	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65022	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65018	C₂²	semidirect
195. #65016	C₂²	semidirect
196. #65016	C₂²	semidirect
197. #65014	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #65003	C₂²	semidirect
200. #64999	C₂²	semidirect
201. #64996	C₂²	semidirect
202. #64995	C₂²	semidirect
501. #3306	D₅	semidirect
595. D₄×D₅	#41	semidirect
777. #547	C₂×D₅	semidirect
809. #489	C₂×D₅	semidirect
821. #483	C₂×D₅	semidirect
829. #481	C₂×D₅	semidirect
837. #476	C₂×D₅	semidirect
845. #469	C₂×D₅	semidirect
853. #465	C₂×D₅	semidirect
857. #463	C₂×D₅	semidirect
873. #449	C₂×D₅	semidirect
877. #447	C₂×D₅	semidirect
879. #442	C₂×D₅	semidirect
891. #435	C₂×D₅	semidirect
911. #417	C₂×D₅	semidirect
923. C₂×#102	C₂×D₅	semidirect
1799. C₅	#61200	semidirect

Maximal subgroups

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

subgroup	index
#10618581	2
#10618566	2
C₅×#3306	2
#10615257	2
#10615228	2
#10613429	2
#10613414	2
#10613178	2
#10613161	2
#10613073	2
#10613059	2
#10612809	2
D₅×#476	2
#10612615	2
#10612597	2
#10612413	2
#10612391	2
#10612292	2
#10612264	2
#10611835	2
#10611818	2
#10611752	2
#10611736	2
#10611611	2
#10611596	2
#10611233	2
#10611215	2
#10610638	2
#10610613	2
#10610489	2
#10610473	2
#61200	5