Subgroups — #12992794

Order 1280.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618371	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618253	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3221	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615169	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615137	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613589	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613571	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613503	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613488	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613479	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613466	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613393	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613384	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612275	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612269	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612243	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612237	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612174	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612165	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612158	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612143	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611862	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611859	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611842	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611837	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611796	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611796	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611782	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611781	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611115	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611110	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#540	C₂²	1	1	yes	characteristic, complemented
33	C₅×#536	C₂²	1	1	yes	characteristic
34	#66168	C₂²	1	1	yes	characteristic
35	#66163	C₂²	1	1	yes	characteristic
36	C₂×#4096	C₂²	1	1	yes	characteristic
37	#66151	C₂²	1	1	yes	characteristic
38	#66151	C₂²	1	1	yes	characteristic
39	C₂×#4088	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4062	C₂²	1	1	yes	characteristic
41	C₂×#4062	C₂²	1	1	yes	characteristic
42	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4057	C₂²	1	1	yes	characteristic
44	#66066	C₂²	1	1	yes	characteristic
45	#66065	C₂²	1	1	yes	characteristic
46	#66060	C₂²	1	1	yes	characteristic
47	#66059	C₂²	1	1	yes	characteristic
48	#66052	C₂²	1	1	yes	characteristic
49	#66052	C₂²	1	1	yes	characteristic, complemented
50	#66029	C₂²	1	1	yes	characteristic
51	#66019	C₂²	1	1	yes	characteristic, complemented
52	#66015	C₂²	1	1	yes	characteristic
53	#66014	C₂²	1	1	yes	characteristic
54	#66010	C₂²	1	1	yes	characteristic
55	#66008	C₂²	1	1	yes	characteristic
56	#66000	—	2	1	no	—
57	#65997	—	2	1	no	—
58	#65997	—	2	1	no	—
59	#65995	—	2	1	no	—
60	#65995	—	2	1	no	—
61	#65991	—	2	1	no	—
62	#65989	—	2	1	no	—
63	#65983	—	2	1	no	—
64	#65981	—	2	1	no	—
65	#65978	—	2	1	no	—
66	#65972	—	2	1	no	—
67	#65971	—	2	1	no	—
68	#65952	C₂²	1	1	yes	characteristic, complemented
69	#65949	—	2	1	no	—
70	#65945	C₂²	1	1	yes	characteristic
71	#65935	—	2	1	no	—
72	#65933	—	2	1	no	—
73	#65933	C₂²	1	1	yes	characteristic
74	#65933	C₂²	1	1	yes	characteristic, complemented
75	#65930	—	2	1	no	—
76	#65896	C₂²	1	1	yes	characteristic
77	#65882	C₂²	1	1	yes	characteristic, complemented
78	#65880	C₂²	1	1	yes	characteristic
79	C₄×#711	C₂²	1	1	yes	characteristic, complemented
80	#65869	C₂²	1	1	yes	characteristic
81	#65862	C₂²	1	1	yes	characteristic
82	#65857	C₂²	1	1	yes	characteristic, complemented
83	C₅×#496	C₂²	1	1	yes	characteristic
84	C₅×#492	C₂²	1	1	yes	characteristic, complemented
85	C₅×#491	C₂²	1	1	yes	characteristic, complemented
86	C₅×#488	C₂²	1	1	yes	characteristic
87	C₅×#463	C₂²	1	1	yes	characteristic
88	C₅×#463	C₂²	1	1	yes	characteristic
89	C₅×#461	C₂²	1	1	yes	characteristic, complemented
90	C₅×#461	C₂²	1	1	yes	characteristic, complemented
91	C₅×#449	C₂²	1	1	yes	characteristic
92	C₅×#449	C₂²	1	1	yes	characteristic
93	C₅×#448	C₂²	1	1	yes	characteristic, complemented
94	C₅×#448	C₂²	1	1	yes	characteristic, complemented
95	C₅×#433	C₂²	1	1	yes	characteristic, complemented
96	#65521	C₂²	1	1	yes	characteristic
97	C₂×#3967	C₂²	1	1	yes	characteristic, complemented
98	#65465	C₂²	1	1	yes	characteristic
99	#65465	C₂²	1	1	yes	characteristic
100	#65465	C₂²	1	1	yes	characteristic, complemented
101	#65463	C₂²	1	1	yes	characteristic
102	#65462	C₂²	1	1	yes	characteristic
103	#65462	C₂²	1	1	yes	characteristic
104	#65462	C₂²	1	1	yes	characteristic, complemented
105	#65461	C₂²	1	1	yes	characteristic
106	#65461	C₂²	1	1	yes	characteristic
107	#65461	C₂²	1	1	yes	characteristic, complemented
108	#65460	C₂²	1	1	yes	characteristic
109	#65460	C₂²	1	1	yes	characteristic, complemented
110	#65454	C₂²	1	1	yes	characteristic
111	#65454	C₂²	1	1	yes	characteristic
112	#65454	C₂²	1	1	yes	characteristic, complemented
113	#65453	C₂²	1	1	yes	characteristic, complemented
114	#65453	C₂²	1	1	yes	characteristic, complemented
115	#65452	C₂²	1	1	yes	characteristic, complemented
116	#65452	C₂²	1	1	yes	characteristic, complemented
117	#65452	C₂²	1	1	yes	characteristic, complemented
118	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
119	#65447	C₂²	1	1	yes	characteristic
120	#65446	C₂²	1	1	yes	characteristic
121	#65445	C₂²	1	1	yes	characteristic
122	#65441	C₂²	1	1	yes	characteristic
123	#65440	C₂²	1	1	yes	characteristic
124	#65439	C₂²	1	1	yes	characteristic
125	#65439	C₂²	1	1	yes	characteristic
126	#65379	C₂²	1	1	yes	characteristic, complemented
127	#65379	C₂²	1	1	yes	characteristic, complemented
128	#65372	C₂²	1	1	yes	characteristic, complemented
129	#65372	C₂²	1	1	yes	characteristic, complemented
130	#65361	C₂²	1	1	yes	characteristic
131	#65361	C₂²	1	1	yes	characteristic, complemented
132	#65355	C₂²	1	1	yes	characteristic
133	#65355	C₂²	1	1	yes	characteristic, complemented
134	#65346	C₂²	1	1	yes	characteristic
135	#65346	C₂²	1	1	yes	characteristic
136	#65343	C₂²	1	1	yes	characteristic
137	#65343	C₂²	1	1	yes	characteristic
138	#65328	C₂²	1	1	yes	characteristic
139	#65328	C₂²	1	1	yes	characteristic, complemented
140	#65327	C₂²	1	1	yes	characteristic
141	#65327	C₂²	1	1	yes	characteristic, complemented
142	#65304	C₂²	1	1	yes	characteristic
143	#65304	C₂²	1	1	yes	characteristic
144	#65298	C₂²	1	1	yes	characteristic, complemented
145	#65298	C₂²	1	1	yes	characteristic, complemented
146	#65288	C₂²	1	1	yes	characteristic, complemented
147	#65137	C₂²	1	1	yes	characteristic
148	#65136	C₂²	1	1	yes	characteristic, complemented
149	#65132	C₂²	1	1	yes	characteristic
150	#65129	C₂²	1	1	yes	characteristic
151	#65128	C₂²	1	1	yes	characteristic
152	#65124	C₂²	1	1	yes	characteristic, complemented
153	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65104	C₂²	1	1	yes	characteristic, complemented
156	#65101	C₂²	1	1	yes	characteristic
157	#65100	C₂²	1	1	yes	characteristic
158	#65100	C₂²	1	1	yes	characteristic
159	#65100	C₂²	1	1	yes	characteristic, complemented
160	#65098	C₂²	1	1	yes	characteristic
161	#65096	C₂²	1	1	yes	characteristic
162	#65096	C₂²	1	1	yes	characteristic, complemented
163	#65094	C₂²	1	1	yes	characteristic
164	#65093	C₂²	1	1	yes	characteristic
165	#65093	C₂²	1	1	yes	characteristic, complemented
166	#65092	C₂²	1	1	yes	characteristic
167	#65089	C₂²	1	1	yes	characteristic
168	#65088	C₂²	1	1	yes	characteristic, complemented
169	#65087	C₂²	1	1	yes	characteristic
170	#65087	C₂²	1	1	yes	characteristic
171	#65087	C₂²	1	1	yes	characteristic, complemented
172	#65085	C₂²	1	1	yes	characteristic, complemented
173	#65084	C₂²	1	1	yes	characteristic
174	#65084	C₂²	1	1	yes	characteristic, complemented
175	#65083	C₂²	1	1	yes	characteristic, complemented
176	#65079	C₂²	1	1	yes	characteristic, complemented
177	#65078	C₂²	1	1	yes	characteristic, complemented
178	#65078	C₂²	1	1	yes	characteristic, complemented
179	#65073	C₂²	1	1	yes	characteristic
180	#65064	C₂²	1	1	yes	characteristic
181	#65062	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic
183	#65053	C₂²	1	1	yes	characteristic
184	#65051	C₂²	1	1	yes	characteristic
185	#65050	C₂²	1	1	yes	characteristic
186	#65046	C₂²	1	1	yes	characteristic
187	#65025	C₂²	1	1	yes	characteristic, complemented
188	#65024	C₂²	1	1	yes	characteristic
189	#65023	C₂²	1	1	yes	characteristic
190	#65023	C₂²	1	1	yes	characteristic, complemented
191	#65019	C₂²	1	1	yes	characteristic
192	#65017	C₂²	1	1	yes	characteristic
193	#65017	C₂²	1	1	yes	characteristic, complemented
194	#65014	C₂²	1	1	yes	characteristic, complemented
195	#65000	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic
197	#64995	C₂²	1	1	yes	characteristic
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₀	C₂²	1	1	yes	characteristic
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#62014	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×#713	C₂³	1	1	yes	characteristic
209	C₂×#711	—	2	1	no	—
210	C₂×#711	—	2	1	no	—
211	C₂×#711	C₂³	1	1	yes	characteristic
212	C₂×#711	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×#709	—	2	1	no	—
215	C₂×#709	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
224	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×#127	C₂³	1	1	yes	characteristic
227	C₅×#125	C₂³	1	1	yes	characteristic
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×#123	—	2	1	no	—
231	C₅×#123	—	2	1	no	—
232	C₅×#123	—	2	1	no	—
233	C₅×#123	—	2	1	no	—
234	C₅×C₂²⋊Q₈	—	2	1	no	—
235	C₅×C₂²⋊Q₈	—	2	1	no	—
236	C₅×#121	—	2	1	no	—
237	C₅×#121	—	2	1	no	—
238	C₅×#121	C₂³	1	1	yes	characteristic
239	C₅×#121	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₅×#117	C₂³	1	1	yes	characteristic
243	#4096	—	4	2	no	—
244	#4093	—	2	1	no	—
245	#4093	—	2	1	no	—
246	#4093	C₂³	1	1	yes	characteristic
247	#4093	C₂³	1	1	yes	characteristic
248	#4093	C₂³	1	1	yes	characteristic
249	#4092	—	2	1	no	—
250	#4092	—	2	1	no	—
251	#4092	C₂³	1	1	yes	characteristic
252	#4092	C₂³	1	1	yes	characteristic
253	#4092	C₂³	1	1	yes	characteristic
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic
255	Q₈×Dic₅	C₂³	1	1	yes	characteristic
256	Q₈×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#689	C₂³	1	1	yes	characteristic
259	C₂×#689	C₂³	1	1	yes	characteristic
260	#4088	—	4	2	no	—
261	C₂×#688	C₂³	1	1	yes	characteristic
262	C₂×#688	C₂³	1	1	yes	characteristic
263	C₂×#688	C₂³	1	1	yes	characteristic
264	#4086	—	2	1	no	—
265	#4086	—	2	1	no	—
266	#4086	—	2	1	no	—
267	#4086	—	2	1	no	—
268	#4086	C₂³	1	1	yes	characteristic
269	#4086	C₂³	1	1	yes	characteristic
270	#4086	C₂³	1	1	yes	characteristic
271	#4085	—	2	1	no	—
272	#4085	—	2	1	no	—
273	#4085	—	2	1	no	—
274	#4085	—	2	1	no	—
275	#4085	—	2	1	no	—
276	#4085	—	2	1	no	—
277	#4085	—	2	1	no	—
278	#4085	—	2	1	no	—
279	#4084	—	2	1	no	—
280	#4084	—	2	1	no	—
281	#4084	C₂³	1	1	yes	characteristic
282	#4084	C₂³	1	1	yes	characteristic
283	#4084	C₂³	1	1	yes	characteristic
284	#4083	—	2	1	no	—
285	#4081	—	2	1	no	—
286	D₄×Dic₅	—	2	1	no	—
287	D₄×Dic₅	—	2	1	no	—
288	D₄×Dic₅	C₂³	1	1	yes	characteristic
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×#686	C₂³	1	1	yes	characteristic
293	C₂×#686	C₂³	1	1	yes	characteristic
294	C₂×#686	C₂³	1	1	yes	characteristic
295	C₂×#686	C₂³	1	1	yes	characteristic
296	C₂×#686	C₂³	1	1	yes	characteristic
297	#4076	—	2	1	no	—
298	#4076	—	2	1	no	—
299	#4076	—	2	1	no	—
300	#4076	—	2	1	no	—
301	#4076	C₂³	1	1	yes	characteristic
302	#4076	C₂³	1	1	yes	characteristic
303	#4075	—	2	1	no	—
304	#4075	—	2	1	no	—
305	C₄×C₂²⋊D₅	—	2	1	no	—
306	C₄×C₂²⋊D₅	—	2	1	no	—
307	C₄×C₂²⋊D₅	—	2	1	no	—
308	C₄×C₂²⋊D₅	—	2	1	no	—
309	C₄×C₂²⋊D₅	—	2	1	no	—
310	C₄×C₂²⋊D₅	—	2	1	no	—
311	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
312	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
313	C₂×#685	—	2	1	no	—
314	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
315	C₂×#683	—	2	1	no	—
316	C₂×C₄×Dic₅	—	2	1	no	—
317	C₂×#681	C₂³	1	1	yes	characteristic
318	C₂²×#168	C₂³	1	1	yes	characteristic
319	#4062	—	4	2	no	—
320	#4062	—	4	2	no	—
321	#4062	—	4	2	no	—
322	#4057	—	4	2	no	—
323	C₂×D₄₀	C₂³	1	1	yes	characteristic
324	C₂×D₄₀	C₂³	1	1	yes	characteristic
325	C₂×#677	C₂³	1	1	yes	characteristic
326	C₂×#677	C₂³	1	1	yes	characteristic
327	C₂×#676	C₂³	1	1	yes	characteristic
328	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
329	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
330	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
331	#4044	—	2	1	no	—
332	#4044	—	2	1	no	—
333	#4044	—	2	1	no	—
334	#4044	—	2	1	no	—
335	#4044	—	2	1	no	—
336	#4044	D₄	1	1	yes	characteristic
337	#4043	—	2	1	no	—
338	#4042	D₄	1	1	yes	characteristic
339	#4041	—	2	1	no	—
340	#4041	—	2	1	no	—
341	#4041	—	2	1	no	—
342	#4041	—	2	1	no	—
343	#4041	C₂³	1	1	yes	characteristic
344	#4041	C₂³	1	1	yes	characteristic
345	#4040	—	2	1	no	—
346	#4040	—	2	1	no	—
347	#4040	—	2	1	no	—
348	#4040	—	2	1	no	—
349	#4040	—	2	1	no	—
350	#4040	D₄	1	1	yes	characteristic
351	#4039	—	2	1	no	—
352	#4039	—	2	1	no	—
353	#4039	—	2	1	no	—
354	#4038	—	2	1	no	—
355	#4038	—	2	1	no	—
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	#4036	C₂³	1	1	yes	characteristic
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4035	—	2	1	no	—
365	#4035	D₄	1	1	yes	characteristic
366	#4034	—	2	1	no	—
367	#4034	C₂³	1	1	yes	characteristic
368	#4033	—	2	1	no	—
369	#4033	C₂³	1	1	yes	characteristic
370	#4033	C₂³	1	1	yes	characteristic
371	#4032	—	2	1	no	—
372	#4032	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4031	—	2	1	no	—
375	#4031	D₄	1	1	yes	characteristic
376	#4030	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
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	D₄	1	1	yes	characteristic
386	#4029	—	2	1	no	—
387	#4029	—	2	1	no	—
388	#4029	—	2	1	no	—
389	#4029	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4029	D₄	1	1	yes	characteristic
392	#4028	—	2	1	no	—
393	#4028	—	2	1	no	—
394	#4028	—	2	1	no	—
395	#4027	—	2	1	no	—
396	#4027	—	2	1	no	—
397	#4027	—	2	1	no	—
398	#4027	—	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	#4025	—	2	1	no	—
405	#4025	—	2	1	no	—
406	#4025	D₄	1	1	yes	characteristic
407	#4024	—	2	1	no	—
408	#4023	—	2	1	no	—
409	#4023	—	2	1	no	—
410	#4023	—	2	1	no	—
411	#4020	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	C₄×D₂₀	C₂³	1	1	yes	characteristic
415	C₄×D₂₀	C₂³	1	1	yes	characteristic
416	C₄×D₂₀	C₂³	1	1	yes	characteristic
417	#4018	C₂³	1	1	yes	characteristic
418	C₄²×D₅	C₂³	1	1	yes	characteristic
419	#4016	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×#97	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	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	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	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	#3964	C₂³	1	1	yes	characteristic
448	#3964	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	#3950	C₂³	1	1	yes	characteristic
461	#3949	C₂³	1	1	yes	characteristic
462	#3949	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3947	C₂³	1	1	yes	characteristic
466	#3947	C₂³	1	1	yes	characteristic
467	#3947	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3946	C₂³	1	1	yes	characteristic
471	#3946	C₂³	1	1	yes	characteristic
472	C₈×Dic₅	C₂³	1	1	yes	characteristic
473	#3941	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	#3940	C₂³	1	1	yes	characteristic
478	#3940	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	#3562	—	5	1	no	—
486	#3517	—	5	1	no	—
487	#3399	—	5	1	no	—
488	#3397	—	5	1	no	—
489	#3377	—	5	1	no	—
490	#3371	—	5	1	no	—
491	#3309	—	5	1	no	—
492	#3308	—	5	1	no	—
493	#3307	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3301	—	5	1	no	—
496	#3297	—	5	1	no	—
497	#3287	—	5	1	no	—
498	#3284	—	5	1	no	—
499	#3271	—	5	1	no	—
500	#3271	—	5	1	no	—
501	#3268	—	5	1	no	—
502	#3268	—	5	1	no	—
503	#3260	—	5	1	no	—
504	#3259	—	5	1	no	—
505	#3247	—	5	1	no	—
506	#3221	D₅	1	1	yes	characteristic, complemented
507	#3220	—	5	1	no	—
508	#3214	—	5	1	no	—
509	#3120	—	5	1	no	—
510	#3119	—	5	1	no	—
511	#3111	—	5	1	no	—
512	#3046	—	5	1	no	—
513	#3045	—	5	1	no	—
514	#3035	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₅×#41	—	4	1	no	—
518	C₅×#41	—	4	1	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
520	C₂×C₅×Q₈	—	4	1	no	—
521	C₂×C₅×Q₈	—	4	1	no	—
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	—	2	1	no	—
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	#713	—	4	1	no	—
562	#713	—	4	1	no	—
563	#713	—	4	1	no	—
564	#713	—	4	1	no	—
565	#713	—	4	1	no	—
566	#713	—	4	1	no	—
567	#711	—	2	2	no	—
568	#711	—	2	2	no	—
569	#711	—	4	1	no	—
570	#711	—	4	1	no	—
571	#711	—	8	2	no	—
572	#711	—	8	2	no	—
573	D₄×D₅	—	4	1	no	—
574	D₄×D₅	—	4	1	no	—
575	#709	—	2	2	no	—
576	#709	—	4	1	no	—
577	#709	—	8	2	no	—
578	C₂×D₂₀	—	2	1	no	—
579	C₂×D₂₀	—	2	1	no	—
580	C₂×D₂₀	—	2	1	no	—
581	C₂×D₂₀	—	2	1	no	—
582	C₂×D₂₀	—	2	1	no	—
583	C₂×D₂₀	—	2	1	no	—
584	C₂×D₂₀	—	2	1	no	—
585	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
586	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
587	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
588	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
589	C₂×C₄×D₅	—	2	1	no	—
590	C₂×C₄×D₅	—	2	1	no	—
591	C₂×C₄×D₅	—	2	1	no	—
592	C₂×C₄×D₅	—	2	1	no	—
593	C₂×C₄×D₅	—	2	1	no	—
594	C₂×C₄×D₅	—	2	1	no	—
595	C₂×C₄×D₅	—	2	1	no	—
596	C₂×C₄×D₅	—	2	1	no	—
597	C₂×C₄×D₅	—	2	1	no	—
598	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
600	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
602	C₂×Dic₁₀	—	2	1	no	—
603	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
604	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
605	C₅×SD₁₆	—	4	1	no	—
606	C₅×SD₁₆	—	4	1	no	—
607	C₅×SD₁₆	—	4	1	no	—
608	C₅×SD₁₆	—	4	1	no	—
609	C₅×SD₁₆	—	4	1	no	—
610	C₅×SD₁₆	—	4	1	no	—
611	C₅×D₈	—	4	1	no	—
612	C₅×D₈	—	4	1	no	—
613	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
614	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
615	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
616	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
617	C₅×C₄⋊C₄	—	2	1	no	—
618	C₅×C₄⋊C₄	—	2	1	no	—
619	C₅×C₄⋊C₄	—	2	1	no	—
620	C₅×C₄⋊C₄	—	2	1	no	—
621	C₅×C₄⋊C₄	—	2	1	no	—
622	C₅×C₄⋊C₄	—	2	1	no	—
623	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₅×C₂²⋊C₄	—	2	1	no	—
628	C₅×C₂²⋊C₄	—	2	1	no	—
629	C₅×C₂²⋊C₄	—	2	1	no	—
630	C₅×C₂²⋊C₄	—	2	1	no	—
631	C₅×C₂²⋊C₄	—	2	1	no	—
632	C₅×C₂²⋊C₄	—	2	1	no	—
633	C₅×C₂²⋊C₄	—	2	1	no	—
634	C₅×C₂²⋊C₄	—	2	1	no	—
635	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₄²×C₅	C₂⁴	1	1	yes	characteristic
638	C₄²×C₅	C₂⁴	1	1	yes	characteristic
639	C₂²⋊Dic₅	—	2	1	no	—
640	C₂²⋊Dic₅	—	2	1	no	—
641	C₂²⋊Dic₅	—	2	1	no	—
642	C₂²⋊Dic₅	—	2	1	no	—
643	C₂²⋊Dic₅	—	2	1	no	—
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
647	#689	—	2	2	no	—
648	#689	—	2	2	no	—
649	#689	—	2	2	no	—
650	#688	—	4	1	no	—
651	#688	—	4	1	no	—
652	#688	—	4	1	no	—
653	#687	—	2	2	no	—
654	#686	—	4	1	no	—
655	#686	—	4	1	no	—
656	#686	—	4	1	no	—
657	#686	—	4	1	no	—
658	#686	—	4	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	2	1	no	—
677	#685	C₂×D₄	1	1	yes	characteristic
678	#685	C₂×D₄	1	1	yes	characteristic
679	#685	C₂×D₄	1	1	yes	characteristic
680	#685	C₂×D₄	1	1	yes	characteristic
681	#685	C₂×D₄	1	1	yes	characteristic
682	#685	C₂×D₄	1	1	yes	characteristic
683	C₄⋊Dic₅	—	2	1	no	—
684	C₄⋊Dic₅	—	2	1	no	—
685	C₄⋊Dic₅	—	2	1	no	—
686	C₄⋊Dic₅	—	2	1	no	—
687	C₄⋊Dic₅	—	2	1	no	—
688	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	#683	C₂×D₄	1	1	yes	characteristic
709	#683	C₂×D₄	1	1	yes	characteristic
710	#683	C₂×D₄	1	1	yes	characteristic
711	#683	C₂×D₄	1	1	yes	characteristic
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	—	2	1	no	—
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
724	#681	—	4	1	no	—
725	C₂×#168	—	4	1	no	—
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	C₂×#168	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	C₂×#168	C₂⁴	1	1	yes	characteristic
730	D₄₀	—	4	1	no	—
731	D₄₀	—	4	1	no	—
732	#677	—	2	2	no	—
733	#677	—	2	2	no	—
734	#676	—	4	1	no	—
735	C₈×D₅	—	4	1	no	—
736	C₈×D₅	—	4	1	no	—
737	C₈×D₅	—	4	1	no	—
738	C₂×#137	—	5	1	no	—
739	C₂×AGL(1,ℤ/8)	—	5	1	no	—
740	C₂×#135	—	5	1	no	—
741	C₂×#135	—	5	1	no	—
742	C₂×#135	—	5	1	no	—
743	C₂×#135	—	5	1	no	—
744	#562	—	10	1	no	—
745	#560	—	10	1	no	—
746	#559	—	5	1	no	—
747	#557	—	5	1	no	—
748	#556	—	5	1	no	—
749	#553	—	5	1	no	—
750	#553	—	5	1	no	—
751	#553	—	10	1	no	—
752	#553	—	10	1	no	—
753	#553	—	10	1	no	—
754	#551	—	10	1	no	—
755	#550	—	5	1	no	—
756	#550	—	5	1	no	—
757	#550	—	5	1	no	—
758	#550	—	5	1	no	—
759	#550	—	5	1	no	—
760	#550	—	10	1	no	—
761	#548	—	5	1	no	—
762	#548	—	5	1	no	—
763	#547	—	5	1	no	—
764	#547	—	5	1	no	—
765	#547	—	10	1	no	—
766	#546	—	5	1	no	—
767	#546	—	5	1	no	—
768	#541	—	5	1	no	—
769	#540	—	5	1	no	—
770	#540	—	5	1	no	—
771	#540	—	10	1	no	—
772	#540	—	10	1	no	—
773	#540	—	10	1	no	—
774	#540	C₂×D₅	1	1	yes	characteristic, complemented
775	#539	—	10	1	no	—
776	#538	—	10	1	no	—
777	#538	—	10	1	no	—
778	#536	C₂×D₅	1	1	yes	characteristic
779	#535	—	5	1	no	—
780	#532	—	5	1	no	—
781	#532	—	5	1	no	—
782	#532	—	10	1	no	—
783	#529	—	5	1	no	—
784	#529	—	5	1	no	—
785	#529	—	10	1	no	—
786	#520	—	5	1	no	—
787	#520	—	5	1	no	—
788	C₄×#41	—	5	1	no	—
789	#496	—	5	1	no	—
790	#496	—	5	1	no	—
791	#496	—	5	1	no	—
792	#496	C₂×D₅	1	1	yes	characteristic
793	#493	—	5	1	no	—
794	#492	C₂×D₅	1	1	yes	characteristic, complemented
795	#491	C₂×D₅	1	1	yes	characteristic, complemented
796	#490	—	5	1	no	—
797	#489	—	5	1	no	—
798	#489	—	5	1	no	—
799	#488	—	5	1	no	—
800	#488	C₂×D₅	1	1	yes	characteristic
801	#485	—	5	1	no	—
802	#484	—	5	1	no	—
803	#483	—	5	1	no	—
804	#482	—	5	1	no	—
805	#481	—	5	1	no	—
806	#480	—	5	1	no	—
807	#479	—	5	1	no	—
808	#479	—	5	1	no	—
809	#479	—	5	1	no	—
810	#478	—	5	1	no	—
811	#478	—	5	1	no	—
812	#478	—	5	1	no	—
813	#478	—	5	1	no	—
814	#478	—	5	1	no	—
815	#477	—	5	1	no	—
816	#476	—	5	1	no	—
817	#469	—	5	1	no	—
818	#469	—	5	1	no	—
819	#468	—	5	1	no	—
820	#468	—	5	1	no	—
821	#466	—	5	1	no	—
822	#466	—	5	1	no	—
823	#466	—	5	1	no	—
824	#466	—	5	1	no	—
825	#465	—	5	1	no	—
826	#465	—	5	1	no	—
827	#465	—	5	1	no	—
828	#465	—	5	1	no	—
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#463	—	5	1	no	—
835	#463	—	5	1	no	—
836	#463	—	5	1	no	—
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	C₂×D₅	1	1	yes	characteristic
840	#463	C₂×D₅	1	1	yes	characteristic
841	#462	—	5	1	no	—
842	#462	—	5	1	no	—
843	#461	—	5	1	no	—
844	#461	—	5	1	no	—
845	#461	C₂×D₅	1	1	yes	characteristic, complemented
846	#461	C₂×D₅	1	1	yes	characteristic, complemented
847	#460	—	5	1	no	—
848	#460	—	5	1	no	—
849	#460	—	5	1	no	—
850	#460	—	5	1	no	—
851	#460	—	5	1	no	—
852	#459	—	5	1	no	—
853	#459	—	5	1	no	—
854	#459	—	5	1	no	—
855	#459	—	5	1	no	—
856	#459	—	5	1	no	—
857	#459	—	5	1	no	—
858	#459	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#449	—	5	1	no	—
863	#449	—	5	1	no	—
864	#449	—	5	1	no	—
865	#449	—	5	1	no	—
866	#449	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	—	5	1	no	—
870	#449	—	5	1	no	—
871	#449	C₂×D₅	1	1	yes	characteristic
872	#449	C₂×D₅	1	1	yes	characteristic
873	#448	C₂×D₅	1	1	yes	characteristic, complemented
874	#448	C₂×D₅	1	1	yes	characteristic, complemented
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#446	—	5	1	no	—
878	#446	—	5	1	no	—
879	#442	—	5	1	no	—
880	#442	—	5	1	no	—
881	#441	—	5	1	no	—
882	#441	—	5	1	no	—
883	#440	—	5	1	no	—
884	#440	—	5	1	no	—
885	#440	—	5	1	no	—
886	#440	—	5	1	no	—
887	C₄×Q₁₆	—	5	1	no	—
888	C₄×SD₁₆	—	5	1	no	—
889	C₄×SD₁₆	—	5	1	no	—
890	C₄×D₈	—	5	1	no	—
891	#435	—	5	1	no	—
892	#435	—	5	1	no	—
893	#435	—	5	1	no	—
894	#435	—	5	1	no	—
895	C₈×D₄	—	5	1	no	—
896	C₈×D₄	—	5	1	no	—
897	#433	—	5	1	no	—
898	#433	C₂×D₅	1	1	yes	characteristic, complemented
899	#432	—	5	1	no	—
900	#424	—	5	1	no	—
901	#424	—	5	1	no	—
902	C₂×C₄⋊C₈	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	#416	—	5	1	no	—
906	#416	—	5	1	no	—
907	C₂×#103	—	5	1	no	—
908	C₂×#102	—	5	1	no	—
909	C₂³×C₅	—	2	1	no	—
910	C₂³×C₅	—	2	1	no	—
911	C₂³×C₅	—	2	1	no	—
912	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂²×D₅	—	2	1	no	—
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	2	1	no	—
916	C₂²×D₅	—	8	1	no	—
917	C₂²×D₅	—	8	1	no	—
918	C₂²×D₅	—	8	1	no	—
919	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
920	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	2	1	no	—
925	C₅×Q₈	—	2	1	no	—
926	C₅×Q₈	—	2	1	no	—
927	C₅×Q₈	—	8	1	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	2	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	2	1	no	—
933	C₅×D₄	—	2	1	no	—
934	C₅×D₄	—	8	1	no	—
935	C₅×D₄	—	8	1	no	—
936	C₅×D₄	—	8	1	no	—
937	C₅×D₄	—	8	1	no	—
938	C₅×D₄	—	8	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	2	1	no	—
944	C₂×C₄×C₅	—	2	1	no	—
945	C₂×C₄×C₅	—	2	1	no	—
946	C₂×C₄×C₅	—	8	1	no	—
947	C₂×C₄×C₅	—	8	1	no	—
948	C₂×C₄×C₅	—	8	1	no	—
949	C₂×C₄×C₅	—	8	1	no	—
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
956	C₂²⋊D₅	—	4	1	no	—
957	C₂²⋊D₅	—	4	1	no	—
958	C₂²⋊D₅	—	4	2	no	—
959	C₂²⋊D₅	—	4	2	no	—
960	C₂²⋊D₅	—	4	2	no	—
961	C₂²⋊D₅	—	4	2	no	—
962	C₂²⋊D₅	—	8	1	no	—
963	C₂²⋊D₅	—	8	1	no	—
964	C₂²⋊D₅	—	8	1	no	—
965	C₂²⋊D₅	—	8	1	no	—
966	C₂²⋊D₅	—	8	1	no	—
967	C₂²⋊D₅	—	8	1	no	—
968	C₂²⋊D₅	—	8	1	no	—
969	C₂²⋊D₅	—	8	1	no	—
970	C₂²⋊D₅	—	8	1	no	—
971	C₂²⋊D₅	—	8	1	no	—
972	C₂²⋊D₅	—	8	1	no	—
973	C₂×Dic₅	—	2	1	no	—
974	C₂×Dic₅	—	2	1	no	—
975	C₂×Dic₅	—	2	1	no	—
976	C₂×Dic₅	—	2	1	no	—
977	C₂×Dic₅	—	2	1	no	—
978	C₂×Dic₅	—	4	2	no	—
979	C₂×Dic₅	—	4	2	no	—
980	C₂×Dic₅	—	4	2	no	—
981	C₂×Dic₅	—	8	1	no	—
982	C₂×Dic₅	—	8	1	no	—
983	C₂×Dic₅	—	8	1	no	—
984	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
985	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
986	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
990	D₂₀	—	2	1	no	—
991	D₂₀	—	2	1	no	—
992	D₂₀	—	2	1	no	—
993	D₂₀	—	2	1	no	—
994	D₂₀	—	2	1	no	—
995	D₂₀	—	2	1	no	—
996	D₂₀	—	4	1	no	—
997	D₂₀	—	8	1	no	—
998	D₂₀	—	8	1	no	—
999	D₂₀	—	8	1	no	—
1000	D₂₀	—	8	1	no	—
1001	D₂₀	—	8	1	no	—
1002	D₂₀	—	8	1	no	—
1003	D₂₀	—	8	1	no	—
1004	C₄×D₅	—	2	1	no	—
1005	C₄×D₅	—	2	1	no	—
1006	C₄×D₅	—	2	1	no	—
1007	C₄×D₅	—	2	1	no	—
1008	C₄×D₅	—	4	1	no	—
1009	C₄×D₅	—	4	1	no	—
1010	C₄×D₅	—	4	2	no	—
1011	C₄×D₅	—	8	1	no	—
1012	C₄×D₅	—	8	1	no	—
1013	C₄×D₅	—	8	1	no	—
1014	C₄×D₅	—	8	1	no	—
1015	C₄×D₅	—	8	1	no	—
1016	C₄×D₅	—	8	1	no	—
1017	C₄×D₅	—	8	1	no	—
1018	C₄×D₅	—	8	1	no	—
1019	Dic₁₀	—	2	1	no	—
1020	Dic₁₀	—	4	1	no	—
1021	Dic₁₀	—	4	2	no	—
1022	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1023	C₅×C₈	—	2	1	no	—
1024	C₅×C₈	—	2	1	no	—
1025	C₅×C₈	—	2	1	no	—
1026	C₅×C₈	—	2	1	no	—
1027	#168	—	2	1	no	—
1028	#168	—	2	1	no	—
1029	#168	—	2	1	no	—
1030	#168	—	2	1	no	—
1031	C₂×#41	—	5	1	no	—
1032	C₂×#41	—	5	1	no	—
1033	C₂×#41	—	5	1	no	—
1034	C₂×#41	—	5	1	no	—
1035	C₂×#41	—	5	1	no	—
1036	C₂×#41	—	5	1	no	—
1037	C₂×#41	—	10	1	no	—
1038	C₂×#41	—	10	1	no	—
1039	C₂×#41	—	10	1	no	—
1040	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1041	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1042	C₂²×D₄	—	5	1	no	—
1043	#137	—	20	2	no	—
1044	AGL(1,ℤ/8)	—	20	2	no	—
1045	#135	—	20	2	no	—
1046	#135	—	20	2	no	—
1047	#135	—	20	2	no	—
1048	#135	—	20	2	no	—
1049	C₂×Q₁₆	—	5	1	no	—
1050	C₂×Q₁₆	—	5	1	no	—
1051	C₂×Q₁₆	—	5	1	no	—
1052	C₂×SD₁₆	—	5	1	no	—
1053	C₂×SD₁₆	—	5	1	no	—
1054	C₂×SD₁₆	—	5	1	no	—
1055	C₂×SD₁₆	—	5	1	no	—
1056	C₂×SD₁₆	—	5	1	no	—
1057	C₂×SD₁₆	—	5	1	no	—
1058	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1064	C₂×D₈	—	5	1	no	—
1065	C₂×D₈	—	5	1	no	—
1066	C₂×D₈	—	5	1	no	—
1067	C₂×D₈	—	5	1	no	—
1068	C₂×D₈	—	5	1	no	—
1069	C₂×D₈	—	5	1	no	—
1070	C₂×D₈	—	5	1	no	—
1071	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1072	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1073	C₂×M₁₆	—	5	1	no	—
1074	C₂×M₁₆	—	5	1	no	—
1075	C₂²×C₈	—	5	1	no	—
1076	C₂²×C₈	—	5	1	no	—
1077	C₂²×C₈	—	5	1	no	—
1078	C₂²×C₈	—	5	1	no	—
1079	C₄⋊Q₈	—	5	1	no	—
1080	C₄⋊Q₈	—	10	1	no	—
1081	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1083	#127	—	5	1	no	—
1084	#127	—	5	1	no	—
1085	#127	—	5	1	no	—
1086	#127	—	5	1	no	—
1087	#127	—	10	1	no	—
1088	#127	—	10	1	no	—
1089	#127	—	10	1	no	—
1090	#127	—	10	1	no	—
1091	#127	C₂²×D₅	1	1	yes	characteristic
1092	#126	—	5	1	no	—
1093	#126	—	5	1	no	—
1094	#126	—	10	1	no	—
1095	#126	—	10	1	no	—
1096	#126	—	10	1	no	—
1097	#126	—	10	1	no	—
1098	#126	—	10	1	no	—
1099	#126	—	10	1	no	—
1100	#126	—	10	1	no	—
1101	#125	—	5	1	no	—
1102	#125	—	5	1	no	—
1103	#125	—	5	1	no	—
1104	#125	—	10	1	no	—
1105	#125	—	10	1	no	—
1106	#125	—	10	1	no	—
1107	#125	—	10	1	no	—
1108	#125	C₂²×D₅	1	1	yes	characteristic
1109	#124	—	5	1	no	—
1110	#124	—	5	1	no	—
1111	#124	—	5	1	no	—
1112	#124	—	5	1	no	—
1113	#124	—	10	1	no	—
1114	#124	—	10	1	no	—
1115	#124	—	10	1	no	—
1116	#124	—	10	1	no	—
1117	#124	C₂²×D₅	1	1	yes	characteristic
1118	#124	C₂²×D₅	1	1	yes	characteristic
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	5	1	no	—
1124	#123	—	5	1	no	—
1125	#123	—	10	1	no	—
1126	#123	—	10	1	no	—
1127	#123	—	10	1	no	—
1128	#123	—	10	1	no	—
1129	#123	—	10	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	#123	—	10	1	no	—
1136	#123	—	10	1	no	—
1137	#123	—	10	1	no	—
1138	#123	—	10	1	no	—
1139	#123	—	10	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	5	1	no	—
1143	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	5	1	no	—
1145	C₂²⋊Q₈	—	5	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	5	1	no	—
1153	#121	—	5	1	no	—
1154	#121	—	5	1	no	—
1155	#121	—	5	1	no	—
1156	#121	—	5	1	no	—
1157	#121	—	5	1	no	—
1158	#121	—	5	1	no	—
1159	#121	—	5	1	no	—
1160	#121	—	10	1	no	—
1161	#121	—	10	1	no	—
1162	#121	—	10	1	no	—
1163	#121	—	10	1	no	—
1164	#121	—	10	1	no	—
1165	#121	—	10	1	no	—
1166	#121	—	10	1	no	—
1167	#121	—	10	1	no	—
1168	#121	—	10	1	no	—
1169	#121	—	10	1	no	—
1170	#121	—	10	1	no	—
1171	#121	—	10	1	no	—
1172	#121	—	10	1	no	—
1173	#121	—	10	1	no	—
1174	#121	—	10	1	no	—
1175	#121	—	10	1	no	—
1176	#121	—	10	1	no	—
1177	#121	—	10	1	no	—
1178	#121	—	10	1	no	—
1179	#121	—	10	1	no	—
1180	#121	—	10	1	no	—
1181	#121	—	10	1	no	—
1182	#121	—	10	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	—	10	1	no	—
1187	#121	C₂²×D₅	1	1	yes	characteristic
1188	#121	C₂²×D₅	1	1	yes	characteristic
1189	#120	—	10	1	no	—
1190	#120	—	10	1	no	—
1191	#120	—	10	1	no	—
1192	#120	—	10	1	no	—
1193	C₄×Q₈	—	5	1	no	—
1194	C₄×Q₈	—	5	1	no	—
1195	C₄×Q₈	—	5	1	no	—
1196	C₄×Q₈	—	5	1	no	—
1197	C₄×Q₈	—	5	1	no	—
1198	C₄×Q₈	—	5	1	no	—
1199	C₄×Q₈	—	5	1	no	—
1200	C₄×Q₈	—	5	1	no	—
1201	C₄×Q₈	—	10	1	no	—
1202	C₄×D₄	—	5	1	no	—
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	5	1	no	—
1206	C₄×D₄	—	5	1	no	—
1207	C₄×D₄	—	5	1	no	—
1208	C₄×D₄	—	5	1	no	—
1209	C₄×D₄	—	5	1	no	—
1210	C₄×D₄	—	5	1	no	—
1211	C₄×D₄	—	5	1	no	—
1212	C₄×D₄	—	10	1	no	—
1213	C₄×D₄	—	10	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	—	10	1	no	—
1220	C₄×D₄	—	10	1	no	—
1221	C₄×D₄	—	10	1	no	—
1222	C₄×D₄	—	10	1	no	—
1223	C₄×D₄	—	10	1	no	—
1224	C₄×D₄	—	10	1	no	—
1225	C₄×D₄	—	10	1	no	—
1226	C₄×D₄	—	10	1	no	—
1227	C₄×D₄	—	10	1	no	—
1228	C₄×D₄	—	10	1	no	—
1229	C₄×D₄	—	10	1	no	—
1230	C₄×D₄	—	10	1	no	—
1231	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1232	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1233	#117	—	5	1	no	—
1234	#117	—	5	1	no	—
1235	#117	—	10	1	no	—
1236	#117	—	10	1	no	—
1237	#117	—	10	1	no	—
1238	#117	—	10	1	no	—
1239	#117	—	10	1	no	—
1240	#117	C₂²×D₅	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	5	1	no	—
1242	C₂×C₄⋊C₄	—	5	1	no	—
1243	C₂×C₄⋊C₄	—	10	1	no	—
1244	C₂×C₄⋊C₄	—	10	1	no	—
1245	C₂×C₄⋊C₄	—	10	1	no	—
1246	C₂×C₂²⋊C₄	—	10	1	no	—
1247	C₂×C₂²⋊C₄	—	10	1	no	—
1248	C₂×C₄²	—	5	1	no	—
1249	C₂×C₄²	—	10	1	no	—
1250	#107	—	5	1	no	—
1251	#107	—	5	1	no	—
1252	#107	—	5	1	no	—
1253	#107	—	5	1	no	—
1254	#106	—	5	1	no	—
1255	#106	—	5	1	no	—
1256	#106	—	5	1	no	—
1257	#106	—	5	1	no	—
1258	C₄⋊C₈	—	5	1	no	—
1259	C₄⋊C₈	—	5	1	no	—
1260	C₄⋊C₈	—	5	1	no	—
1261	C₄⋊C₈	—	5	1	no	—
1262	C₄⋊C₈	—	5	1	no	—
1263	C₄⋊C₈	—	5	1	no	—
1264	C₄⋊C₈	—	5	1	no	—
1265	C₄⋊C₈	—	5	1	no	—
1266	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1267	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	—	5	1	no	—
1274	#103	—	5	1	no	—
1275	#103	—	5	1	no	—
1276	#103	C₂²×D₅	1	1	yes	characteristic
1277	#103	C₂²×D₅	1	1	yes	characteristic
1278	#103	C₂²×D₅	1	1	yes	characteristic
1279	#103	C₂²×D₅	1	1	yes	characteristic
1280	#103	C₂²×D₅	1	1	yes	characteristic
1281	#103	C₂²×D₅	1	1	yes	characteristic
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	—	5	1	no	—
1287	#102	—	5	1	no	—
1288	#102	—	5	1	no	—
1289	#102	—	5	1	no	—
1290	#102	—	5	1	no	—
1291	#102	—	5	1	no	—
1292	#102	—	5	1	no	—
1293	#102	—	5	1	no	—
1294	#102	—	5	1	no	—
1295	#102	—	5	1	no	—
1296	#102	—	5	1	no	—
1297	#102	—	5	1	no	—
1298	#102	C₂²×D₅	1	1	yes	characteristic
1299	#102	C₂²×D₅	1	1	yes	characteristic
1300	C₂²⋊C₈	—	5	1	no	—
1301	C₂²⋊C₈	—	5	1	no	—
1302	C₂²⋊C₈	—	5	1	no	—
1303	C₂²⋊C₈	—	5	1	no	—
1304	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1306	#97	—	5	1	no	—
1307	#97	—	5	1	no	—
1308	#97	—	5	1	no	—
1309	#97	C₂²×D₅	1	1	yes	characteristic
1310	C₄×C₈	—	5	1	no	—
1311	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1312	C₂²×C₅	—	2	1	no	—
1313	C₂²×C₅	—	2	1	no	—
1314	C₂²×C₅	—	2	1	no	—
1315	C₂²×C₅	—	4	1	no	—
1316	C₂²×C₅	—	4	1	no	—
1317	C₂²×C₅	—	4	1	no	—
1318	C₂²×C₅	—	4	1	no	—
1319	C₂²×C₅	—	4	1	no	—
1320	C₂²×C₅	—	4	1	no	—
1321	C₂²×C₅	—	4	1	no	—
1322	C₂²×C₅	—	4	1	no	—
1323	C₂²×C₅	—	4	1	no	—
1324	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1325	C₂×D₅	—	2	1	no	—
1326	C₂×D₅	—	2	1	no	—
1327	C₂×D₅	—	2	1	no	—
1328	C₂×D₅	—	2	1	no	—
1329	C₂×D₅	—	2	1	no	—
1330	C₂×D₅	—	2	1	no	—
1331	C₂×D₅	—	4	1	no	—
1332	C₂×D₅	—	4	1	no	—
1333	C₂×D₅	—	4	1	no	—
1334	C₂×D₅	—	4	1	no	—
1335	C₂×D₅	—	4	1	no	—
1336	C₂×D₅	—	4	1	no	—
1337	C₂×D₅	—	4	1	no	—
1338	C₂×D₅	—	4	1	no	—
1339	C₂×D₅	—	4	1	no	—
1340	C₂×D₅	—	16	2	no	—
1341	C₄×C₅	—	2	1	no	—
1342	C₄×C₅	—	2	1	no	—
1343	C₄×C₅	—	2	1	no	—
1344	C₄×C₅	—	2	1	no	—
1345	C₄×C₅	—	2	1	no	—
1346	C₄×C₅	—	4	1	no	—
1347	C₄×C₅	—	4	1	no	—
1348	C₄×C₅	—	4	1	no	—
1349	C₄×C₅	—	4	1	no	—
1350	C₄×C₅	—	4	1	no	—
1351	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1352	C₄×C₅	#585	1	1	yes	characteristic
1353	Dic₅	—	2	1	no	—
1354	Dic₅	—	2	1	no	—
1355	Dic₅	—	2	1	no	—
1356	Dic₅	—	2	1	no	—
1357	Dic₅	—	2	2	no	—
1358	Dic₅	—	2	1	no	—
1359	Dic₅	—	2	1	no	—
1360	Dic₅	—	4	1	no	—
1361	Dic₅	—	4	1	no	—
1362	Dic₅	—	4	1	no	—
1363	Dic₅	—	4	1	no	—
1364	C₂⁴	—	10	1	no	—
1365	#41	—	4	1	no	—
1366	#41	—	4	1	no	—
1367	#41	—	10	2	no	—
1368	#41	—	10	2	no	—
1369	#41	—	10	2	no	—
1370	#41	—	20	1	no	—
1371	#41	—	20	1	no	—
1372	#41	—	20	1	no	—
1373	#41	—	20	1	no	—
1374	#41	—	20	1	no	—
1375	#41	—	20	1	no	—
1376	#41	—	20	1	no	—
1377	#41	—	20	1	no	—
1378	#41	—	20	1	no	—
1379	#41	—	40	2	no	—
1380	#41	—	40	2	no	—
1381	#41	—	40	2	no	—
1382	C₂×Q₈	—	2	1	no	—
1383	C₂×Q₈	—	4	1	no	—
1384	C₂×Q₈	—	4	1	no	—
1385	C₂×Q₈	—	5	1	no	—
1386	C₂×Q₈	—	5	1	no	—
1387	C₂×Q₈	—	10	1	no	—
1388	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1389	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1390	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	5	1	no	—
1397	C₂×D₄	—	5	1	no	—
1398	C₂×D₄	—	5	1	no	—
1399	C₂×D₄	—	5	1	no	—
1400	C₂×D₄	—	5	1	no	—
1401	C₂×D₄	—	5	1	no	—
1402	C₂×D₄	—	10	1	no	—
1403	C₂×D₄	—	10	1	no	—
1404	C₂×D₄	—	10	1	no	—
1405	C₂×D₄	—	10	1	no	—
1406	C₂×D₄	—	10	1	no	—
1407	C₂×D₄	—	10	1	no	—
1408	C₂×D₄	—	10	1	no	—
1409	C₂×D₄	—	10	1	no	—
1410	C₂×D₄	—	10	1	no	—
1411	C₂×D₄	—	10	1	no	—
1412	C₂×D₄	—	10	1	no	—
1413	C₂×D₄	—	10	1	no	—
1414	C₂×D₄	—	10	1	no	—
1415	C₂×D₄	—	10	1	no	—
1416	C₂×D₄	—	10	1	no	—
1417	C₂×D₄	—	10	1	no	—
1418	C₂×D₄	—	10	1	no	—
1419	C₂×D₄	—	10	1	no	—
1420	C₂×D₄	—	10	1	no	—
1421	C₂×D₄	—	10	1	no	—
1422	C₂×D₄	—	10	1	no	—
1423	C₂×D₄	—	10	1	no	—
1424	C₂×D₄	—	20	1	no	—
1425	C₂×D₄	—	20	1	no	—
1426	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1427	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1428	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	5	1	no	—
1434	C₂²×C₄	—	5	1	no	—
1435	C₂²×C₄	—	5	1	no	—
1436	C₂²×C₄	—	5	1	no	—
1437	C₂²×C₄	—	10	1	no	—
1438	C₂²×C₄	—	10	1	no	—
1439	C₂²×C₄	—	10	1	no	—
1440	C₂²×C₄	—	10	1	no	—
1441	C₂²×C₄	—	10	1	no	—
1442	C₂²×C₄	—	10	1	no	—
1443	C₂²×C₄	—	10	1	no	—
1444	C₂²×C₄	—	10	1	no	—
1445	C₂²×C₄	—	10	1	no	—
1446	C₂²×C₄	—	10	1	no	—
1447	C₂²×C₄	—	10	1	no	—
1448	C₂²×C₄	—	10	1	no	—
1449	C₂²×C₄	—	10	1	no	—
1450	C₂²×C₄	—	10	1	no	—
1451	C₂²×C₄	—	10	1	no	—
1452	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1453	Q₁₆	—	10	2	no	—
1454	Q₁₆	—	10	2	no	—
1455	Q₁₆	—	10	2	no	—
1456	SD₁₆	—	4	1	no	—
1457	SD₁₆	—	4	1	no	—
1458	SD₁₆	—	4	1	no	—
1459	SD₁₆	—	4	1	no	—
1460	SD₁₆	—	4	1	no	—
1461	SD₁₆	—	4	1	no	—
1462	SD₁₆	—	10	2	no	—
1463	SD₁₆	—	10	2	no	—
1464	SD₁₆	—	10	2	no	—
1465	SD₁₆	—	20	1	no	—
1466	SD₁₆	—	20	1	no	—
1467	SD₁₆	—	20	1	no	—
1468	D₈	—	4	1	no	—
1469	D₈	—	4	1	no	—
1470	D₈	—	20	1	no	—
1471	D₈	—	20	1	no	—
1472	D₈	—	20	1	no	—
1473	D₈	—	20	1	no	—
1474	D₈	—	20	1	no	—
1475	D₈	—	20	1	no	—
1476	D₈	—	20	1	no	—
1477	M₁₆	—	20	1	no	—
1478	M₁₆	—	20	1	no	—
1479	C₂×C₈	—	5	1	no	—
1480	C₂×C₈	—	5	1	no	—
1481	C₂×C₈	—	5	1	no	—
1482	C₂×C₈	—	5	1	no	—
1483	C₂×C₈	—	20	1	no	—
1484	C₂×C₈	—	20	1	no	—
1485	C₂×C₈	—	20	1	no	—
1486	C₂×C₈	—	20	1	no	—
1487	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1488	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1489	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1490	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	5	1	no	—
1498	C₄⋊C₄	—	5	1	no	—
1499	C₄⋊C₄	—	5	1	no	—
1500	C₄⋊C₄	—	5	1	no	—
1501	C₄⋊C₄	—	5	1	no	—
1502	C₄⋊C₄	—	5	1	no	—
1503	C₄⋊C₄	—	5	1	no	—
1504	C₄⋊C₄	—	5	1	no	—
1505	C₄⋊C₄	—	5	1	no	—
1506	C₄⋊C₄	—	5	1	no	—
1507	C₄⋊C₄	—	5	1	no	—
1508	C₄⋊C₄	—	5	1	no	—
1509	C₄⋊C₄	—	10	1	no	—
1510	C₄⋊C₄	—	10	1	no	—
1511	C₄⋊C₄	—	10	1	no	—
1512	C₄⋊C₄	—	10	1	no	—
1513	C₄⋊C₄	—	10	1	no	—
1514	C₄⋊C₄	—	10	1	no	—
1515	C₄⋊C₄	—	10	1	no	—
1516	C₄⋊C₄	—	10	1	no	—
1517	C₄⋊C₄	—	10	1	no	—
1518	C₄⋊C₄	—	10	1	no	—
1519	C₄⋊C₄	—	10	1	no	—
1520	C₄⋊C₄	—	10	1	no	—
1521	C₄⋊C₄	—	10	1	no	—
1522	C₄⋊C₄	—	10	1	no	—
1523	C₄⋊C₄	—	10	1	no	—
1524	C₄⋊C₄	—	10	1	no	—
1525	C₄⋊C₄	—	10	1	no	—
1526	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1527	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1528	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1529	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	5	1	no	—
1539	C₂²⋊C₄	—	5	1	no	—
1540	C₂²⋊C₄	—	5	1	no	—
1541	C₂²⋊C₄	—	5	1	no	—
1542	C₂²⋊C₄	—	5	1	no	—
1543	C₂²⋊C₄	—	5	1	no	—
1544	C₂²⋊C₄	—	5	1	no	—
1545	C₂²⋊C₄	—	5	1	no	—
1546	C₂²⋊C₄	—	10	1	no	—
1547	C₂²⋊C₄	—	10	1	no	—
1548	C₂²⋊C₄	—	10	1	no	—
1549	C₂²⋊C₄	—	10	1	no	—
1550	C₂²⋊C₄	—	10	1	no	—
1551	C₂²⋊C₄	—	10	1	no	—
1552	C₂²⋊C₄	—	10	1	no	—
1553	C₂²⋊C₄	—	10	1	no	—
1554	C₂²⋊C₄	—	10	1	no	—
1555	C₂²⋊C₄	—	10	1	no	—
1556	C₂²⋊C₄	—	10	1	no	—
1557	C₂²⋊C₄	—	10	1	no	—
1558	C₂²⋊C₄	—	10	1	no	—
1559	C₂²⋊C₄	—	10	1	no	—
1560	C₂²⋊C₄	—	10	1	no	—
1561	C₂²⋊C₄	—	10	1	no	—
1562	C₂²⋊C₄	—	10	1	no	—
1563	C₂²⋊C₄	—	10	1	no	—
1564	C₂²⋊C₄	—	10	1	no	—
1565	C₂²⋊C₄	—	10	1	no	—
1566	C₂²⋊C₄	—	10	1	no	—
1567	C₂²⋊C₄	—	10	1	no	—
1568	C₂²⋊C₄	—	10	1	no	—
1569	C₂²⋊C₄	—	10	1	no	—
1570	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1571	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1572	C₄²	—	5	1	no	—
1573	C₄²	—	5	1	no	—
1574	C₄²	—	5	1	no	—
1575	C₄²	—	5	1	no	—
1576	C₄²	—	10	1	no	—
1577	C₄²	—	10	1	no	—
1578	C₄²	—	10	1	no	—
1579	C₄²	—	10	1	no	—
1580	C₄²	—	10	1	no	—
1581	C₄²	—	10	1	no	—
1582	C₄²	—	10	1	no	—
1583	C₄²	—	10	1	no	—
1584	C₄²	C₂³×D₅	1	1	yes	characteristic
1585	C₄²	C₂³×D₅	1	1	yes	characteristic
1586	C₂×C₅	—	4	1	no	—
1587	C₂×C₅	—	8	1	no	—
1588	C₂×C₅	—	8	1	no	—
1589	C₂×C₅	—	8	1	no	—
1590	C₂×C₅	#3488	1	1	yes	characteristic
1591	C₂×C₅	#3584	1	1	yes	characteristic
1592	C₂×C₅	#3585	1	1	yes	characteristic
1593	D₅	—	4	1	no	—
1594	D₅	—	4	1	no	—
1595	D₅	—	8	1	no	—
1596	D₅	—	8	1	no	—
1597	D₅	—	8	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	5	1	no	—
1602	C₂³	—	5	1	no	—
1603	C₂³	—	10	1	no	—
1604	C₂³	—	10	1	no	—
1605	C₂³	—	10	1	no	—
1606	C₂³	—	40	1	no	—
1607	C₂³	—	40	1	no	—
1608	C₂³	—	40	1	no	—
1609	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1610	Q₈	—	2	1	no	—
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	2	1	no	—
1616	Q₈	—	5	2	no	—
1617	Q₈	—	8	1	no	—
1618	Q₈	—	10	1	no	—
1619	Q₈	—	20	1	no	—
1620	Q₈	—	20	2	no	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	8	1	no	—
1629	D₄	—	8	1	no	—
1630	D₄	—	8	1	no	—
1631	D₄	—	8	1	no	—
1632	D₄	—	10	1	no	—
1633	D₄	—	10	1	no	—
1634	D₄	—	10	1	no	—
1635	D₄	—	10	1	no	—
1636	D₄	—	10	1	no	—
1637	D₄	—	10	1	no	—
1638	D₄	—	20	1	no	—
1639	D₄	—	20	1	no	—
1640	D₄	—	20	1	no	—
1641	D₄	—	20	2	no	—
1642	D₄	—	20	2	no	—
1643	D₄	—	20	2	no	—
1644	D₄	—	20	2	no	—
1645	D₄	—	40	1	no	—
1646	D₄	—	40	1	no	—
1647	D₄	—	40	1	no	—
1648	D₄	—	40	1	no	—
1649	D₄	—	40	1	no	—
1650	D₄	—	40	1	no	—
1651	D₄	—	40	1	no	—
1652	D₄	—	40	1	no	—
1653	D₄	—	40	1	no	—
1654	D₄	—	40	1	no	—
1655	D₄	—	40	1	no	—
1656	D₄	—	40	1	no	—
1657	D₄	—	40	1	no	—
1658	D₄	—	40	1	no	—
1659	D₄	—	40	1	no	—
1660	D₄	—	40	1	no	—
1661	D₄	—	40	1	no	—
1662	D₄	—	40	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	5	1	no	—
1671	C₂×C₄	—	5	1	no	—
1672	C₂×C₄	—	5	1	no	—
1673	C₂×C₄	—	5	1	no	—
1674	C₂×C₄	—	5	1	no	—
1675	C₂×C₄	—	5	1	no	—
1676	C₂×C₄	—	8	1	no	—
1677	C₂×C₄	—	8	1	no	—
1678	C₂×C₄	—	8	1	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	10	1	no	—
1681	C₂×C₄	—	10	1	no	—
1682	C₂×C₄	—	10	1	no	—
1683	C₂×C₄	—	10	1	no	—
1684	C₂×C₄	—	10	1	no	—
1685	C₂×C₄	—	10	1	no	—
1686	C₂×C₄	—	10	1	no	—
1687	C₂×C₄	—	10	1	no	—
1688	C₂×C₄	—	10	1	no	—
1689	C₂×C₄	—	20	1	no	—
1690	C₂×C₄	—	20	1	no	—
1691	C₂×C₄	—	20	2	no	—
1692	C₂×C₄	—	20	2	no	—
1693	C₂×C₄	—	20	2	no	—
1694	C₂×C₄	—	20	2	no	—
1695	C₂×C₄	—	40	1	no	—
1696	C₂×C₄	—	40	1	no	—
1697	C₂×C₄	—	40	1	no	—
1698	C₂×C₄	—	40	1	no	—
1699	C₂×C₄	—	40	1	no	—
1700	C₂×C₄	—	40	1	no	—
1701	C₂×C₄	—	40	1	no	—
1702	C₂×C₄	—	40	1	no	—
1703	C₂×C₄	—	40	1	no	—
1704	C₂×C₄	—	40	1	no	—
1705	C₂×C₄	—	40	1	no	—
1706	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1707	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1708	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1709	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1710	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1711	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	2	1	no	—
1715	C₈	—	2	1	no	—
1716	C₈	—	10	1	no	—
1717	C₈	—	10	1	no	—
1718	C₈	—	10	1	no	—
1719	C₈	—	10	1	no	—
1720	C₅	#62014	1	1	yes	characteristic, complemented, Sylow
1721	C₂²	—	2	1	no	—
1722	C₂²	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	10	1	no	—
1734	C₂²	—	10	1	no	—
1735	C₂²	—	10	1	no	—
1736	C₂²	—	10	1	no	—
1737	C₂²	—	10	1	no	—
1738	C₂²	—	10	1	no	—
1739	C₂²	—	20	1	no	—
1740	C₂²	—	20	1	no	—
1741	C₂²	—	20	1	no	—
1742	C₂²	—	20	1	no	—
1743	C₂²	—	20	1	no	—
1744	C₂²	—	20	1	no	—
1745	C₂²	—	20	1	no	—
1746	C₂²	—	20	1	no	—
1747	C₂²	—	20	1	no	—
1748	C₂²	—	80	2	no	—
1749	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1750	C₄	—	2	1	no	—
1751	C₄	—	2	1	no	—
1752	C₄	—	2	1	no	—
1753	C₄	—	2	1	no	—
1754	C₄	—	2	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	1	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	10	1	no	—
1761	C₄	—	10	1	no	—
1762	C₄	—	10	2	no	—
1763	C₄	—	10	1	no	—
1764	C₄	—	10	1	no	—
1765	C₄	—	10	1	no	—
1766	C₄	—	10	1	no	—
1767	C₄	—	20	1	no	—
1768	C₄	—	20	1	no	—
1769	C₄	—	20	1	no	—
1770	C₄	—	20	1	no	—
1771	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1772	C₄	#66285	1	1	yes	characteristic
1773	C₂	—	4	1	no	—
1774	C₂	—	8	1	no	—
1775	C₂	—	8	1	no	—
1776	C₂	—	8	1	no	—
1777	C₂	—	20	1	no	—
1778	C₂	—	20	1	no	—
1779	C₂	—	40	1	no	—
1780	C₂	—	40	1	no	—
1781	C₂	—	40	1	no	—
1782	C₂	#10618232	1	1	yes	characteristic
1783	C₂	#10619107	1	1	yes	characteristic
1784	C₂	#10619108	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×#3221	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3221	D₅
hypocenter	C₅	#62014
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3221

Complements

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

N	H ≅ G/N	type
1. #10618371	C₂	semidirect
2. #10618253	C₂	semidirect
3. C₅×#3221	C₂	semidirect
4. #10615169	C₂	semidirect
5. #10615137	C₂	semidirect
6. #10613589	C₂	semidirect
7. #10613571	C₂	semidirect
8. #10613503	C₂	semidirect
9. #10613488	C₂	semidirect
10. #10613479	C₂	semidirect
11. #10613466	C₂	semidirect
12. #10613393	C₂	semidirect
13. #10613384	C₂	semidirect
14. #10612275	C₂	semidirect
15. #10612269	C₂	semidirect
16. #10612243	C₂	semidirect
17. #10612237	C₂	semidirect
18. #10612174	C₂	semidirect
19. #10612165	C₂	semidirect
20. #10612158	C₂	semidirect
21. #10612143	C₂	semidirect
22. #10611862	C₂	semidirect
23. #10611859	C₂	semidirect
24. #10611842	C₂	semidirect
25. #10611837	C₂	semidirect
26. #10611796	C₂	semidirect
27. #10611796	C₂	semidirect
28. #10611782	C₂	semidirect
29. #10611781	C₂	semidirect
30. #10611115	C₂	semidirect
31. #10611110	C₂	semidirect
32. C₅×#540	C₂²	semidirect
39. C₂×#4088	C₂²	semidirect
42. C₂×#4062	C₂²	semidirect
49. #66052	C₂²	semidirect
51. #66019	C₂²	semidirect
68. #65952	C₂²	semidirect
74. #65933	C₂²	semidirect
77. #65882	C₂²	semidirect
79. C₄×#711	C₂²	semidirect
82. #65857	C₂²	semidirect
84. C₅×#492	C₂²	semidirect
85. C₅×#491	C₂²	semidirect
89. C₅×#461	C₂²	semidirect
90. C₅×#461	C₂²	semidirect
93. C₅×#448	C₂²	semidirect
94. C₅×#448	C₂²	semidirect
95. C₅×#433	C₂²	semidirect
97. C₂×#3967	C₂²	semidirect
100. #65465	C₂²	semidirect
104. #65462	C₂²	semidirect
107. #65461	C₂²	semidirect
109. #65460	C₂²	semidirect
112. #65454	C₂²	semidirect
113. #65453	C₂²	semidirect
114. #65453	C₂²	semidirect
115. #65452	C₂²	semidirect
116. #65452	C₂²	semidirect
117. #65452	C₂²	semidirect
118. SD₁₆×Dic₅	C₂²	semidirect
126. #65379	C₂²	semidirect
127. #65379	C₂²	semidirect
128. #65372	C₂²	semidirect
129. #65372	C₂²	semidirect
131. #65361	C₂²	semidirect
133. #65355	C₂²	semidirect
139. #65328	C₂²	semidirect
141. #65327	C₂²	semidirect
144. #65298	C₂²	semidirect
145. #65298	C₂²	semidirect
146. #65288	C₂²	semidirect
148. #65136	C₂²	semidirect
152. #65124	C₂²	semidirect
153. D₅×C₄⋊C₈	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65104	C₂²	semidirect
159. #65100	C₂²	semidirect
162. #65096	C₂²	semidirect
165. #65093	C₂²	semidirect
168. #65088	C₂²	semidirect
171. #65087	C₂²	semidirect
172. #65085	C₂²	semidirect
174. #65084	C₂²	semidirect
175. #65083	C₂²	semidirect
176. #65079	C₂²	semidirect
177. #65078	C₂²	semidirect
178. #65078	C₂²	semidirect
187. #65025	C₂²	semidirect
190. #65023	C₂²	semidirect
193. #65017	C₂²	semidirect
194. #65014	C₂²	semidirect
195. #65000	C₂²	semidirect
198. #64990	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
202. #64968	C₂²	semidirect
506. #3221	D₅	semidirect
774. #540	C₂×D₅	semidirect
794. #492	C₂×D₅	semidirect
795. #491	C₂×D₅	semidirect
845. #461	C₂×D₅	semidirect
846. #461	C₂×D₅	semidirect
873. #448	C₂×D₅	semidirect
874. #448	C₂×D₅	semidirect
898. #433	C₂×D₅	semidirect
1720. C₅	#62014	semidirect

Maximal subgroups

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

subgroup	index
#10618371	2
#10618253	2
C₅×#3221	2
#10615169	2
#10615137	2
#10613589	2
#10613571	2
#10613503	2
#10613488	2
#10613479	2
#10613466	2
#10613393	2
#10613384	2
#10612275	2
#10612269	2
#10612243	2
#10612237	2
#10612174	2
#10612165	2
#10612158	2
#10612143	2
#10611862	2
#10611859	2
#10611842	2
#10611837	2
#10611796	2
#10611782	2
#10611781	2
#10611115	2
#10611110	2
#62014	5