Subgroups — #12994875

Order 1280.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618780	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618528	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3297	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615337	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615226	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613380	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613363	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613195	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613189	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613120	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613088	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612896	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612887	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612441	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612434	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612380	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612371	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612247	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612243	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611835	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611800	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611746	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611719	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611324	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611306	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611145	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611136	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610581	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610553	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610491	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65050	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#553	C₂²	1	1	yes	characteristic
33	C₅×#546	C₂²	1	1	yes	characteristic
34	#41×Dic₅	C₂²	1	1	yes	characteristic
35	#66158	C₂²	1	1	yes	characteristic
36	#66140	C₂²	1	1	yes	characteristic
37	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
38	#66044	—	2	1	no	—
39	#66036	—	2	1	no	—
40	#66024	C₂²	1	1	yes	characteristic, complemented
41	#66022	C₂²	1	1	yes	characteristic, complemented
42	#66014	C₂²	1	1	yes	characteristic
43	#66005	C₂²	1	1	yes	characteristic
44	#65996	—	2	1	no	—
45	#65989	—	2	1	no	—
46	#65984	—	2	1	no	—
47	#65983	—	2	1	no	—
48	#65976	C₂²	1	1	yes	characteristic
49	#65956	C₂²	1	1	yes	characteristic
50	#65952	C₂²	1	1	yes	characteristic
51	#65950	C₂²	1	1	yes	characteristic
52	#65950	C₂²	1	1	yes	characteristic, complemented
53	#65935	—	2	1	no	—
54	#65934	—	2	1	no	—
55	#65934	C₂²	1	1	yes	characteristic
56	#65932	—	2	1	no	—
57	#65931	—	2	1	no	—
58	#65930	C₂²	1	1	yes	characteristic
59	#65930	C₂²	1	1	yes	characteristic, complemented
60	#65921	—	2	1	no	—
61	#65920	—	2	1	no	—
62	#65899	C₂²	1	1	yes	characteristic
63	#65886	—	2	1	no	—
64	#65882	C₂²	1	1	yes	characteristic, complemented
65	#65880	—	2	1	no	—
66	#65875	C₂²	1	1	yes	characteristic
67	#65873	C₂²	1	1	yes	characteristic
68	#65873	C₂²	1	1	yes	characteristic, complemented
69	C₄×#711	C₂²	1	1	yes	characteristic
70	C₄×#711	C₂²	1	1	yes	characteristic
71	#65866	C₂²	1	1	yes	characteristic, complemented
72	#65851	C₂²	1	1	yes	characteristic, complemented
73	#65848	C₂²	1	1	yes	characteristic
74	C₂×#4034	C₂²	1	1	yes	characteristic
75	#65829	—	2	1	no	—
76	C₂×#4023	—	2	1	no	—
77	C₅×#488	C₂²	1	1	yes	characteristic
78	C₅×#484	C₂²	1	1	yes	characteristic
79	C₅×#482	C₂²	1	1	yes	characteristic
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#466	C₂²	1	1	yes	characteristic
82	C₅×#465	C₂²	1	1	yes	characteristic
83	C₅×#463	C₂²	1	1	yes	characteristic
84	C₅×#449	C₂²	1	1	yes	characteristic
85	C₅×#447	C₂²	1	1	yes	characteristic
86	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
87	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
88	C₅×#416	C₂²	1	1	yes	characteristic
89	C₂×C₅×#102	C₂²	1	1	yes	characteristic
90	#65527	C₂²	1	1	yes	characteristic
91	#65522	C₂²	1	1	yes	characteristic
92	#65506	C₂²	1	1	yes	characteristic
93	C₂×#3964	C₂²	1	1	yes	characteristic
94	#65460	C₂²	1	1	yes	characteristic, complemented
95	#65452	C₂²	1	1	yes	characteristic, complemented
96	#65451	C₂²	1	1	yes	characteristic, complemented
97	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
98	#65447	C₂²	1	1	yes	characteristic
99	#65446	C₂²	1	1	yes	characteristic
100	#65442	C₂²	1	1	yes	characteristic
101	#65439	C₂²	1	1	yes	characteristic
102	#65439	C₂²	1	1	yes	characteristic
103	D₈×Dic₅	C₂²	1	1	yes	characteristic
104	D₈×Dic₅	C₂²	1	1	yes	characteristic
105	D₈×Dic₅	C₂²	1	1	yes	characteristic
106	#65403	C₂²	1	1	yes	characteristic
107	#65403	C₂²	1	1	yes	characteristic, complemented
108	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
109	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
110	#65395	C₂²	1	1	yes	characteristic, complemented
111	C₂×#3949	C₂²	1	1	yes	characteristic
112	C₂×#3946	C₂²	1	1	yes	characteristic
113	C₂×#3946	C₂²	1	1	yes	characteristic, complemented
114	#65353	C₂²	1	1	yes	characteristic, complemented
115	#65352	C₂²	1	1	yes	characteristic, complemented
116	#65346	C₂²	1	1	yes	characteristic
117	#65345	C₂²	1	1	yes	characteristic
118	#65337	C₂²	1	1	yes	characteristic
119	#65333	C₂²	1	1	yes	characteristic
120	#65330	C₂²	1	1	yes	characteristic
121	#65330	C₂²	1	1	yes	characteristic, complemented
122	#65327	C₂²	1	1	yes	characteristic
123	#65324	C₂²	1	1	yes	characteristic
124	#65324	C₂²	1	1	yes	characteristic, complemented
125	#65322	C₂²	1	1	yes	characteristic
126	C₄×#687	C₂²	1	1	yes	characteristic, complemented
127	C₄×#686	C₂²	1	1	yes	characteristic
128	D₄×#168	C₂²	1	1	yes	characteristic
129	#65298	C₂²	1	1	yes	characteristic
130	#65298	C₂²	1	1	yes	characteristic, complemented
131	#65287	C₂²	1	1	yes	characteristic, complemented
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	#65259	C₂²	1	1	yes	characteristic
134	C₂×#3940	C₂²	1	1	yes	characteristic
135	#65180	C₂²	1	1	yes	characteristic, complemented
136	#65174	C₂²	1	1	yes	characteristic, complemented
137	#65169	C₂²	1	1	yes	characteristic, complemented
138	#65167	C₂²	1	1	yes	characteristic, complemented
139	#65164	C₂²	1	1	yes	characteristic, complemented
140	#65164	C₂²	1	1	yes	characteristic, complemented
141	#65163	C₂²	1	1	yes	characteristic, complemented
142	#65163	C₂²	1	1	yes	characteristic, complemented
143	#65159	C₂²	1	1	yes	characteristic, complemented
144	#65149	C₂²	1	1	yes	characteristic, complemented
145	#65147	C₂²	1	1	yes	characteristic, complemented
146	#65143	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
149	#65119	C₂²	1	1	yes	characteristic, complemented
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65107	C₂²	1	1	yes	characteristic, complemented
152	#65104	C₂²	1	1	yes	characteristic, complemented
153	#65103	C₂²	1	1	yes	characteristic, complemented
154	#65096	C₂²	1	1	yes	characteristic, complemented
155	#65088	C₂²	1	1	yes	characteristic, complemented
156	#65085	C₂²	1	1	yes	characteristic, complemented
157	#65083	C₂²	1	1	yes	characteristic, complemented
158	#65083	C₂²	1	1	yes	characteristic, complemented
159	#65081	C₂²	1	1	yes	characteristic, complemented
160	#65081	C₂²	1	1	yes	characteristic, complemented
161	#65080	C₂²	1	1	yes	characteristic, complemented
162	#65077	C₂²	1	1	yes	characteristic, complemented
163	#65076	C₂²	1	1	yes	characteristic
164	#65073	C₂²	1	1	yes	characteristic
165	#65070	C₂²	1	1	yes	characteristic
166	#65068	C₂²	1	1	yes	characteristic
167	#65068	C₂²	1	1	yes	characteristic, complemented
168	#65064	C₂²	1	1	yes	characteristic
169	#65061	C₂²	1	1	yes	characteristic
170	#65061	C₂²	1	1	yes	characteristic
171	#65057	C₂²	1	1	yes	characteristic
172	#65057	C₂²	1	1	yes	characteristic
173	#65055	C₂²	1	1	yes	characteristic
174	#65052	C₂²	1	1	yes	characteristic
175	#65052	C₂²	1	1	yes	characteristic, complemented
176	#65051	C₂²	1	1	yes	characteristic, complemented
177	#65050	C₂²	1	1	yes	characteristic
178	#65050	C₂²	1	1	yes	characteristic
179	#65050	C₂²	1	1	yes	characteristic
180	#65050	C₂²	1	1	yes	characteristic
181	#65050	C₂²	1	1	yes	characteristic
182	#65050	C₂²	1	1	yes	characteristic
183	#65050	C₂²	1	1	yes	characteristic
184	#65050	C₂²	1	1	yes	characteristic
185	#65050	C₂²	1	1	yes	characteristic, complemented
186	#65048	C₂²	1	1	yes	characteristic
187	#65048	C₂²	1	1	yes	characteristic
188	#65045	C₂²	1	1	yes	characteristic
189	#65045	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65025	C₂²	1	1	yes	characteristic
193	#65014	C₂²	1	1	yes	characteristic
194	#65014	C₂²	1	1	yes	characteristic, complemented
195	#65012	C₂²	1	1	yes	characteristic, complemented
196	#65011	C₂²	1	1	yes	characteristic
197	#65007	C₂²	1	1	yes	characteristic
198	#65007	C₂²	1	1	yes	characteristic, complemented
199	C₄×#677	C₂²	1	1	yes	characteristic, complemented
200	#64974	C₂²	1	1	yes	characteristic, complemented
201	#64972	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#62098	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂³×Dic₅	—	2	1	no	—
207	C₂×#711	—	2	1	no	—
208	C₂×#711	—	2	1	no	—
209	C₂×#711	D₄	1	1	yes	characteristic
210	C₂×#711	C₂³	1	1	yes	characteristic
211	C₂×#709	—	2	1	no	—
212	C₂²×Dic₁₀	—	2	1	no	—
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
215	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
216	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
217	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
218	C₅×#126	—	2	1	no	—
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#124	C₂³	1	1	yes	characteristic
221	C₅×#123	—	2	1	no	—
222	C₅×#123	—	2	1	no	—
223	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×#121	—	2	1	no	—
225	C₅×#121	—	2	1	no	—
226	C₅×#121	C₂³	1	1	yes	characteristic
227	C₅×#121	C₂³	1	1	yes	characteristic
228	C₅×#121	C₂³	1	1	yes	characteristic
229	C₅×#120	—	2	1	no	—
230	C₄×C₅×D₄	—	2	1	no	—
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₅×#117	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
237	#4099	—	2	1	no	—
238	C₂×C₂²⋊Dic₅	—	2	1	no	—
239	C₂×C₂²⋊Dic₅	—	2	1	no	—
240	#4092	C₂³	1	1	yes	characteristic
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	#4090	C₂³	1	1	yes	characteristic
244	C₂×#688	C₂³	1	1	yes	characteristic
245	#4086	C₂³	1	1	yes	characteristic
246	#4085	—	2	1	no	—
247	#4085	—	2	1	no	—
248	#4085	—	2	1	no	—
249	#4085	—	2	1	no	—
250	#4085	—	2	1	no	—
251	#4085	—	2	1	no	—
252	#4085	—	2	1	no	—
253	#4085	—	2	1	no	—
254	#4084	C₂³	1	1	yes	characteristic
255	#4084	C₂³	1	1	yes	characteristic
256	#4082	—	2	1	no	—
257	#4082	—	2	1	no	—
258	#4082	C₂³	1	1	yes	characteristic
259	#4081	—	2	1	no	—
260	#4081	—	2	1	no	—
261	#4081	—	2	1	no	—
262	#4081	—	2	1	no	—
263	D₄×Dic₅	—	2	1	no	—
264	D₄×Dic₅	—	2	1	no	—
265	D₄×Dic₅	—	2	1	no	—
266	D₄×Dic₅	—	2	1	no	—
267	D₄×Dic₅	—	2	1	no	—
268	D₄×Dic₅	—	2	1	no	—
269	D₄×Dic₅	D₄	1	1	yes	characteristic
270	D₄×Dic₅	C₂³	1	1	yes	characteristic
271	D₄×Dic₅	C₂³	1	1	yes	characteristic
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	D₄×Dic₅	C₂³	1	1	yes	characteristic
275	D₄×Dic₅	C₂³	1	1	yes	characteristic
276	D₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×#687	C₂³	1	1	yes	characteristic
278	C₂×#686	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	#4076	—	2	1	no	—
281	#4076	C₂³	1	1	yes	characteristic
282	#4076	C₂³	1	1	yes	characteristic
283	#4075	—	2	1	no	—
284	C₄×C₂²⋊D₅	—	2	1	no	—
285	C₄×C₂²⋊D₅	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
288	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
289	#4072	—	2	1	no	—
290	#4072	C₂³	1	1	yes	characteristic
291	#4072	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
294	#4070	—	2	1	no	—
295	#4070	—	2	1	no	—
296	#4070	C₂³	1	1	yes	characteristic
297	#4070	C₂³	1	1	yes	characteristic
298	C₂×#683	—	2	1	no	—
299	C₂×#683	—	2	1	no	—
300	C₂×#683	—	2	1	no	—
301	C₂×#683	—	2	1	no	—
302	C₂×C₄×Dic₅	—	2	1	no	—
303	C₂×C₄×Dic₅	—	2	1	no	—
304	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
306	C₂²×#168	C₂³	1	1	yes	characteristic
307	C₂²×#168	C₂³	1	1	yes	characteristic
308	C₂×#677	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	—	2	1	no	—
314	#4043	—	2	1	no	—
315	#4042	—	2	1	no	—
316	#4042	—	2	1	no	—
317	#4042	—	2	1	no	—
318	#4042	—	2	1	no	—
319	#4041	C₂³	1	1	yes	characteristic
320	#4040	—	2	1	no	—
321	#4039	C₂³	1	1	yes	characteristic
322	#4039	C₂³	1	1	yes	characteristic
323	#4038	D₄	1	1	yes	characteristic
324	#4038	C₂³	1	1	yes	characteristic
325	#4038	C₂³	1	1	yes	characteristic
326	#4038	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	—	2	1	no	—
328	#4036	—	2	1	no	—
329	#4036	C₂³	1	1	yes	characteristic
330	#4036	C₂³	1	1	yes	characteristic
331	#4036	C₂³	1	1	yes	characteristic
332	#4035	—	2	1	no	—
333	#4035	—	2	1	no	—
334	#4034	—	2	1	no	—
335	#4034	—	2	1	no	—
336	#4034	C₂³	1	1	yes	characteristic
337	#4034	C₂³	1	1	yes	characteristic
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4034	C₂³	1	1	yes	characteristic
341	#4034	C₂³	1	1	yes	characteristic
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	—	2	1	no	—
345	#4033	D₄	1	1	yes	characteristic
346	#4033	C₂³	1	1	yes	characteristic
347	#4032	—	2	1	no	—
348	#4032	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4027	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	D₄	1	1	yes	characteristic
365	#4027	D₄	1	1	yes	characteristic
366	#4025	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4025	—	2	1	no	—
371	#4025	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4023	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4023	—	2	1	no	—
384	#4023	—	2	1	no	—
385	#4023	—	2	1	no	—
386	#4023	—	2	1	no	—
387	#4023	—	2	1	no	—
388	#4023	—	2	1	no	—
389	#4023	D₄	1	1	yes	characteristic
390	#4023	D₄	1	1	yes	characteristic
391	#4021	—	2	1	no	—
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	#4018	—	2	1	no	—
394	C₄²×D₅	C₂³	1	1	yes	characteristic
395	#4016	C₂³	1	1	yes	characteristic
396	#4016	C₂³	1	1	yes	characteristic
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	—	2	1	no	—
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#107	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×#103	C₂³	1	1	yes	characteristic
406	C₅×#103	C₂³	1	1	yes	characteristic
407	C₅×#103	C₂³	1	1	yes	characteristic
408	C₅×#102	C₂³	1	1	yes	characteristic
409	C₅×#102	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3950	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3949	C₂³	1	1	yes	characteristic
442	#3949	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3946	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	C₈×Dic₅	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3511	—	5	1	no	—
480	#3475	—	5	1	no	—
481	#3380	—	5	1	no	—
482	#3380	—	5	1	no	—
483	#3360	—	5	1	no	—
484	#3360	—	5	1	no	—
485	#3341	—	5	1	no	—
486	#3341	—	5	1	no	—
487	#3337	—	5	1	no	—
488	#3337	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3337	—	5	1	no	—
491	#3303	—	5	1	no	—
492	#3303	—	5	1	no	—
493	#3297	—	5	1	no	—
494	#3297	—	5	1	no	—
495	#3297	—	5	1	no	—
496	#3297	D₅	1	1	yes	characteristic, complemented
497	#3247	—	5	1	no	—
498	#3247	—	5	1	no	—
499	#3246	—	5	1	no	—
500	#3233	—	5	1	no	—
501	#3233	—	5	1	no	—
502	#3230	—	5	1	no	—
503	#3106	—	5	1	no	—
504	#3106	—	5	1	no	—
505	#3100	—	5	1	no	—
506	#3076	—	5	1	no	—
507	#3076	—	5	1	no	—
508	C₂×#476	—	5	1	no	—
509	#2988	—	5	1	no	—
510	C₂⁴×C₅	—	2	1	no	—
511	C₅×#41	—	2	2	no	—
512	C₅×#41	—	4	1	no	—
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×D₄	—	2	2	no	—
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	—	4	1	no	—
521	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
539	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	—	2	1	no	—
547	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	C₂²×Dic₅	—	4	4	no	—
551	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
552	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
553	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
554	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
555	#711	—	2	4	no	—
556	#711	—	2	2	no	—
557	#711	—	4	1	no	—
558	#711	—	4	4	no	—
559	#711	—	8	2	no	—
560	#709	—	8	2	no	—
561	C₂×D₂₀	—	2	1	no	—
562	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	—	8	2	no	—
576	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
577	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
578	C₅×SD₁₆	—	4	1	no	—
579	C₅×D₈	—	2	2	no	—
580	C₅×D₈	—	4	1	no	—
581	C₂×C₅×C₈	—	4	1	no	—
582	C₂×C₅×C₈	—	4	1	no	—
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₅	—	2	1	no	—
608	C₄²×C₅	C₂⁴	1	1	yes	characteristic
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
626	#688	—	4	1	no	—
627	#687	—	4	1	no	—
628	#686	—	2	2	no	—
629	#686	—	4	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	C₂×D₄	1	1	yes	characteristic
641	#685	C₂×D₄	1	1	yes	characteristic
642	C₄⋊Dic₅	—	2	1	no	—
643	C₄⋊Dic₅	—	2	1	no	—
644	C₄⋊Dic₅	—	2	1	no	—
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
650	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
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	—	2	1	no	—
689	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
696	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	C₂×#168	—	4	1	no	—
699	C₂×#168	—	4	1	no	—
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	#677	—	4	1	no	—
705	C₈×D₅	—	4	1	no	—
706	C₈×D₅	—	4	1	no	—
707	#556	—	5	1	no	—
708	#556	—	10	1	no	—
709	#555	—	5	1	no	—
710	#555	—	5	1	no	—
711	#555	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	—	5	1	no	—
715	#553	—	5	1	no	—
716	#553	—	5	1	no	—
717	#553	—	5	1	no	—
718	#553	—	10	1	no	—
719	#553	C₂×D₅	1	1	yes	characteristic
720	#552	—	5	1	no	—
721	#552	—	5	1	no	—
722	#552	—	10	1	no	—
723	#551	—	10	1	no	—
724	#551	—	10	1	no	—
725	#548	—	10	1	no	—
726	#548	—	10	1	no	—
727	#547	—	5	1	no	—
728	#547	—	10	1	no	—
729	#546	—	5	1	no	—
730	#546	C₂×D₅	1	1	yes	characteristic
731	#542	—	10	1	no	—
732	#542	—	10	1	no	—
733	#537	—	10	1	no	—
734	#533	—	5	1	no	—
735	#533	—	5	1	no	—
736	#533	—	5	1	no	—
737	#532	—	5	1	no	—
738	#532	—	5	1	no	—
739	#532	—	5	1	no	—
740	C₂×C₄⋊Q₈	—	5	1	no	—
741	#529	—	5	1	no	—
742	#529	—	5	1	no	—
743	#529	—	10	1	no	—
744	#529	—	10	1	no	—
745	#525	—	10	1	no	—
746	#520	—	10	1	no	—
747	C₄×#41	—	5	1	no	—
748	C₄×#41	—	5	1	no	—
749	C₄×#41	—	5	1	no	—
750	C₂×C₄×D₄	—	5	1	no	—
751	C₂×#117	—	10	1	no	—
752	#500	—	5	1	no	—
753	#500	—	5	1	no	—
754	#499	—	5	1	no	—
755	#499	—	5	1	no	—
756	#499	—	5	1	no	—
757	#499	—	5	1	no	—
758	#488	—	5	1	no	—
759	#488	—	5	1	no	—
760	#488	—	5	1	no	—
761	#488	C₂×D₅	1	1	yes	characteristic
762	#487	—	5	1	no	—
763	#487	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#485	—	5	1	no	—
767	#485	—	5	1	no	—
768	#484	—	5	1	no	—
769	#484	—	5	1	no	—
770	#484	—	5	1	no	—
771	#484	C₂×D₅	1	1	yes	characteristic
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	—	5	1	no	—
776	#482	—	5	1	no	—
777	#482	—	5	1	no	—
778	#482	—	5	1	no	—
779	#482	C₂×D₅	1	1	yes	characteristic
780	#480	—	5	1	no	—
781	#480	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	C₂×D₅	1	1	yes	characteristic
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#476	—	5	1	no	—
806	#476	—	5	1	no	—
807	#476	—	5	1	no	—
808	#475	—	5	1	no	—
809	#475	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#466	—	5	1	no	—
813	#466	—	5	1	no	—
814	#466	—	5	1	no	—
815	#466	C₂×D₅	1	1	yes	characteristic
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	C₂×D₅	1	1	yes	characteristic
824	#463	—	5	1	no	—
825	#463	—	5	1	no	—
826	#463	—	5	1	no	—
827	#463	C₂×D₅	1	1	yes	characteristic
828	#461	—	5	1	no	—
829	#461	—	5	1	no	—
830	#460	—	5	1	no	—
831	#460	—	5	1	no	—
832	#459	—	5	1	no	—
833	#459	—	5	1	no	—
834	#449	—	5	1	no	—
835	#449	—	5	1	no	—
836	#449	—	5	1	no	—
837	#449	C₂×D₅	1	1	yes	characteristic
838	#447	—	5	1	no	—
839	#447	C₂×D₅	1	1	yes	characteristic
840	C₈×Q₈	—	5	1	no	—
841	C₈×Q₈	—	5	1	no	—
842	C₄×SD₁₆	—	5	1	no	—
843	C₄×SD₁₆	—	5	1	no	—
844	C₄×SD₁₆	—	5	1	no	—
845	C₄×SD₁₆	—	5	1	no	—
846	C₄×D₈	—	5	1	no	—
847	C₄×D₈	—	5	1	no	—
848	C₄×D₈	—	5	1	no	—
849	C₄×D₈	—	5	1	no	—
850	C₄×D₈	—	5	1	no	—
851	C₄×D₈	—	5	1	no	—
852	C₄×D₈	—	5	1	no	—
853	C₄×D₈	C₂×D₅	1	1	yes	characteristic
854	C₈×D₄	—	5	1	no	—
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	—	5	1	no	—
857	C₈×D₄	—	5	1	no	—
858	C₈×D₄	—	5	1	no	—
859	C₈×D₄	C₂×D₅	1	1	yes	characteristic
860	#431	—	5	1	no	—
861	#431	—	5	1	no	—
862	#431	—	5	1	no	—
863	#427	—	5	1	no	—
864	#427	—	5	1	no	—
865	#427	—	5	1	no	—
866	#427	—	5	1	no	—
867	C₂×#106	—	5	1	no	—
868	C₂×#106	—	5	1	no	—
869	C₂×C₄⋊C₈	—	5	1	no	—
870	C₂×C₄⋊C₈	—	5	1	no	—
871	C₂×C₄⋊C₈	—	5	1	no	—
872	#416	—	5	1	no	—
873	#416	—	5	1	no	—
874	#416	—	5	1	no	—
875	#416	C₂×D₅	1	1	yes	characteristic
876	C₂×#102	—	5	1	no	—
877	C₂×#102	C₂×D₅	1	1	yes	characteristic
878	C₂³×C₅	—	2	1	no	—
879	C₂³×C₅	—	2	1	no	—
880	C₂³×C₅	—	2	1	no	—
881	C₂³×C₅	—	4	2	no	—
882	C₂³×C₅	—	4	2	no	—
883	C₂³×C₅	—	8	1	no	—
884	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
885	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
886	C₂²×D₅	—	2	1	no	—
887	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
888	C₅×Q₈	—	2	1	no	—
889	C₅×Q₈	—	2	1	no	—
890	C₅×D₄	—	2	2	no	—
891	C₅×D₄	—	2	1	no	—
892	C₅×D₄	—	2	1	no	—
893	C₅×D₄	—	2	1	no	—
894	C₅×D₄	—	2	1	no	—
895	C₅×D₄	—	2	1	no	—
896	C₅×D₄	—	4	2	no	—
897	C₅×D₄	—	4	2	no	—
898	C₅×D₄	—	4	2	no	—
899	C₅×D₄	—	8	1	no	—
900	C₅×D₄	—	8	1	no	—
901	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	4	2	no	—
912	C₂×C₄×C₅	—	8	1	no	—
913	C₂×C₄×C₅	—	8	1	no	—
914	C₂×C₄×C₅	—	8	1	no	—
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
920	C₂²⋊D₅	—	2	2	no	—
921	C₂²⋊D₅	—	2	2	no	—
922	C₂²⋊D₅	—	4	2	no	—
923	C₂²⋊D₅	—	4	2	no	—
924	C₂²⋊D₅	—	4	2	no	—
925	C₂²⋊D₅	—	4	2	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂²⋊D₅	—	8	1	no	—
928	C₂²⋊D₅	—	8	1	no	—
929	C₂×Dic₅	—	2	2	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	4	1	no	—
938	C₂×Dic₅	—	4	1	no	—
939	C₂×Dic₅	—	4	2	no	—
940	C₂×Dic₅	—	4	2	no	—
941	C₂×Dic₅	—	4	2	no	—
942	C₂×Dic₅	—	4	2	no	—
943	C₂×Dic₅	—	4	2	no	—
944	C₂×Dic₅	—	4	2	no	—
945	C₂×Dic₅	—	4	2	no	—
946	C₂×Dic₅	—	8	1	no	—
947	C₂×Dic₅	—	8	1	no	—
948	C₂×Dic₅	—	8	1	no	—
949	C₂×Dic₅	#135	1	4	yes	—
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
956	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
957	D₂₀	—	2	1	no	—
958	D₂₀	—	2	1	no	—
959	D₂₀	—	8	1	no	—
960	C₄×D₅	—	2	1	no	—
961	C₄×D₅	—	2	1	no	—
962	C₄×D₅	—	2	2	no	—
963	C₄×D₅	—	4	1	no	—
964	C₄×D₅	—	4	2	no	—
965	C₄×D₅	—	8	1	no	—
966	C₄×D₅	—	8	1	no	—
967	Dic₁₀	—	2	2	no	—
968	Dic₁₀	—	2	1	no	—
969	Dic₁₀	—	2	1	no	—
970	Dic₁₀	—	4	2	no	—
971	Dic₁₀	—	4	2	no	—
972	Dic₁₀	—	4	2	no	—
973	Dic₁₀	—	8	1	no	—
974	Dic₁₀	—	8	1	no	—
975	Dic₁₀	—	8	1	no	—
976	C₅×C₈	—	2	1	no	—
977	C₅×C₈	—	2	1	no	—
978	C₅×C₈	—	2	1	no	—
979	C₅×C₈	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	—	2	1	no	—
982	#168	—	2	1	no	—
983	#168	—	2	1	no	—
984	C₂×#41	—	5	1	no	—
985	C₂×#41	—	5	1	no	—
986	C₂×#41	—	10	1	no	—
987	C₂×#41	—	10	1	no	—
988	C₂×#41	—	10	1	no	—
989	C₂×#41	C₂²×D₅	1	1	yes	characteristic
990	C₂²×Q₈	—	10	1	no	—
991	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
992	C₂³×C₄	—	10	1	no	—
993	C₂×SD₁₆	—	5	1	no	—
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
997	C₂×D₈	—	5	1	no	—
998	C₂×D₈	—	5	1	no	—
999	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1000	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1001	C₂²×C₈	—	5	1	no	—
1002	C₂²×C₈	—	5	1	no	—
1003	C₂²×C₈	—	5	1	no	—
1004	C₂²×C₈	—	5	1	no	—
1005	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1006	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	5	1	no	—
1012	C₄⋊Q₈	—	5	1	no	—
1013	C₄⋊Q₈	—	5	1	no	—
1014	C₄⋊Q₈	—	10	1	no	—
1015	C₄⋊Q₈	—	10	1	no	—
1016	#127	—	5	1	no	—
1017	#126	—	2	1	no	—
1018	#126	—	10	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#126	—	10	1	no	—
1024	#126	—	10	1	no	—
1025	#126	—	10	1	no	—
1026	#126	—	10	1	no	—
1027	#125	—	5	1	no	—
1028	#125	—	5	1	no	—
1029	#125	—	5	1	no	—
1030	#125	—	5	1	no	—
1031	#125	—	5	1	no	—
1032	#125	—	10	1	no	—
1033	#125	—	10	1	no	—
1034	#125	—	10	1	no	—
1035	#125	C₂²×D₅	1	1	yes	characteristic
1036	#124	—	5	1	no	—
1037	#124	—	10	1	no	—
1038	#124	—	10	1	no	—
1039	#124	—	10	1	no	—
1040	#124	—	10	1	no	—
1041	#124	—	10	1	no	—
1042	#124	—	10	1	no	—
1043	#124	—	10	1	no	—
1044	#124	—	10	1	no	—
1045	#124	—	10	1	no	—
1046	#124	C₂²×D₅	1	1	yes	characteristic
1047	#123	—	2	1	no	—
1048	#123	—	2	1	no	—
1049	#123	—	10	1	no	—
1050	#123	—	10	1	no	—
1051	#123	—	10	1	no	—
1052	#123	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	#123	—	10	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	C₂²⋊Q₈	—	5	1	no	—
1060	C₂²⋊Q₈	—	5	1	no	—
1061	C₂²⋊Q₈	—	5	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1078	#121	—	2	1	no	—
1079	#121	—	2	1	no	—
1080	#121	—	5	1	no	—
1081	#121	—	5	1	no	—
1082	#121	—	5	1	no	—
1083	#121	—	5	1	no	—
1084	#121	—	5	1	no	—
1085	#121	—	10	1	no	—
1086	#121	—	10	1	no	—
1087	#121	—	10	1	no	—
1088	#121	—	10	1	no	—
1089	#121	—	10	1	no	—
1090	#121	—	10	1	no	—
1091	#121	—	10	1	no	—
1092	#121	—	10	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	—	10	1	no	—
1096	#121	C₂²×D₅	1	1	yes	characteristic
1097	#121	C₂²×D₅	1	1	yes	characteristic
1098	#121	C₂²×D₅	1	1	yes	characteristic
1099	#120	—	2	1	no	—
1100	#120	—	10	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	10	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×D₄	—	2	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	5	1	no	—
1115	C₄×D₄	—	5	1	no	—
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	5	1	no	—
1118	C₄×D₄	—	5	1	no	—
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	5	1	no	—
1126	C₄×D₄	—	5	1	no	—
1127	C₄×D₄	—	5	1	no	—
1128	C₄×D₄	—	10	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	—	10	1	no	—
1135	C₄×D₄	—	10	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	—	10	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1143	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1145	#117	—	5	1	no	—
1146	#117	—	5	1	no	—
1147	#117	—	5	1	no	—
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	5	1	no	—
1151	#117	—	5	1	no	—
1152	#117	—	5	1	no	—
1153	#117	—	10	1	no	—
1154	#117	—	10	1	no	—
1155	#117	—	10	1	no	—
1156	#117	—	10	1	no	—
1157	#117	—	10	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	C₂²×D₅	1	1	yes	characteristic
1165	C₂×C₄⋊C₄	—	5	1	no	—
1166	C₂×C₄⋊C₄	—	5	1	no	—
1167	C₂×C₄⋊C₄	—	10	1	no	—
1168	C₂×C₄⋊C₄	—	10	1	no	—
1169	C₂×C₄⋊C₄	—	10	1	no	—
1170	C₂×C₄⋊C₄	—	10	1	no	—
1171	C₂×C₄⋊C₄	—	10	1	no	—
1172	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	—	2	1	no	—
1174	C₂×C₂²⋊C₄	—	10	1	no	—
1175	C₂×C₂²⋊C₄	—	10	1	no	—
1176	C₂×C₄²	—	5	1	no	—
1177	C₂×C₄²	—	5	1	no	—
1178	C₂×C₄²	—	5	1	no	—
1179	C₂×C₄²	—	10	1	no	—
1180	C₂×C₄²	—	10	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	—	5	1	no	—
1188	#107	—	5	1	no	—
1189	#107	—	5	1	no	—
1190	#107	—	5	1	no	—
1191	#107	C₂²×D₅	1	1	yes	characteristic
1192	#107	C₂²×D₅	1	1	yes	characteristic
1193	#106	—	5	1	no	—
1194	#106	—	5	1	no	—
1195	#106	—	5	1	no	—
1196	#106	—	5	1	no	—
1197	#106	—	5	1	no	—
1198	#106	—	5	1	no	—
1199	#106	—	5	1	no	—
1200	#106	—	5	1	no	—
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	—	5	1	no	—
1204	#106	C₂²×D₅	1	1	yes	characteristic
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	C₂²×D₅	1	1	yes	characteristic
1225	#103	C₂²×D₅	1	1	yes	characteristic
1226	#103	C₂²×D₅	1	1	yes	characteristic
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	C₂²×D₅	1	1	yes	characteristic
1241	#102	C₂²×D₅	1	1	yes	characteristic
1242	#102	C₂²×D₅	1	1	yes	characteristic
1243	#102	C₂²×D₅	1	1	yes	characteristic
1244	#102	C₂²×D₅	1	1	yes	characteristic
1245	#102	C₂²×D₅	1	1	yes	characteristic
1246	#102	C₂²×D₅	1	1	yes	characteristic
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	—	5	1	no	—
1251	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1252	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1253	C₄×C₈	—	5	1	no	—
1254	C₄×C₈	—	5	1	no	—
1255	C₄×C₈	—	5	1	no	—
1256	C₄×C₈	—	5	1	no	—
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1259	C₂²×C₅	—	2	1	no	—
1260	C₂²×C₅	—	2	1	no	—
1261	C₂²×C₅	—	2	1	no	—
1262	C₂²×C₅	—	2	2	no	—
1263	C₂²×C₅	—	2	1	no	—
1264	C₂²×C₅	—	2	1	no	—
1265	C₂²×C₅	—	4	1	no	—
1266	C₂²×C₅	—	4	1	no	—
1267	C₂²×C₅	—	4	1	no	—
1268	C₂²×C₅	—	4	1	no	—
1269	C₂²×C₅	—	4	1	no	—
1270	C₂²×C₅	—	4	1	no	—
1271	C₂²×C₅	—	4	1	no	—
1272	C₂²×C₅	—	4	1	no	—
1273	C₂²×C₅	—	8	4	no	—
1274	C₂²×C₅	C₂×#135	1	2	yes	—
1275	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1276	C₂×D₅	—	2	1	no	—
1277	C₂×D₅	—	2	1	no	—
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	4	1	no	—
1281	C₂×D₅	—	4	1	no	—
1282	C₄×C₅	—	2	1	no	—
1283	C₄×C₅	—	2	1	no	—
1284	C₄×C₅	—	2	1	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	4	1	no	—
1287	C₄×C₅	—	4	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	—	4	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1292	C₄×C₅	#585	1	1	yes	characteristic
1293	Dic₅	—	2	1	no	—
1294	Dic₅	—	2	1	no	—
1295	Dic₅	—	2	1	no	—
1296	Dic₅	—	2	1	no	—
1297	Dic₅	—	2	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	Dic₅	—	4	1	no	—
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	Dic₅	—	4	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	C₂×#135	1	2	yes	—
1306	Dic₅	C₂×#135	1	2	yes	—
1307	C₂⁴	—	2	1	no	—
1308	#41	—	2	2	no	—
1309	#41	—	4	1	no	—
1310	#41	—	10	4	no	—
1311	#41	—	10	2	no	—
1312	#41	—	20	4	no	—
1313	#41	—	20	1	no	—
1314	#41	—	40	2	no	—
1315	#41	—	40	2	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	5	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	—	40	2	no	—
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×D₄	—	2	2	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	2	1	no	—
1332	C₂×D₄	—	4	1	no	—
1333	C₂×D₄	—	5	1	no	—
1334	C₂×D₄	—	5	1	no	—
1335	C₂×D₄	—	5	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	1	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1345	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1346	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1347	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	5	1	no	—
1353	C₂²×C₄	—	5	1	no	—
1354	C₂²×C₄	—	5	1	no	—
1355	C₂²×C₄	—	5	1	no	—
1356	C₂²×C₄	—	5	1	no	—
1357	C₂²×C₄	—	5	1	no	—
1358	C₂²×C₄	—	5	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	20	4	no	—
1373	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1374	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	20	1	no	—
1377	SD₁₆	—	20	1	no	—
1378	SD₁₆	—	20	1	no	—
1379	D₈	—	2	2	no	—
1380	D₈	—	4	1	no	—
1381	D₈	—	10	2	no	—
1382	D₈	—	20	1	no	—
1383	C₂×C₈	—	4	1	no	—
1384	C₂×C₈	—	4	1	no	—
1385	C₂×C₈	—	5	1	no	—
1386	C₂×C₈	—	5	1	no	—
1387	C₂×C₈	—	5	1	no	—
1388	C₂×C₈	—	5	1	no	—
1389	C₂×C₈	—	20	1	no	—
1390	C₂×C₈	—	20	1	no	—
1391	C₂×C₈	—	20	1	no	—
1392	C₂×C₈	—	20	1	no	—
1393	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1395	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1396	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	5	1	no	—
1402	C₄⋊C₄	—	5	1	no	—
1403	C₄⋊C₄	—	5	1	no	—
1404	C₄⋊C₄	—	5	1	no	—
1405	C₄⋊C₄	—	5	1	no	—
1406	C₄⋊C₄	—	5	1	no	—
1407	C₄⋊C₄	—	5	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1440	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1441	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1442	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1443	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	5	1	no	—
1454	C₂²⋊C₄	—	5	1	no	—
1455	C₂²⋊C₄	—	5	1	no	—
1456	C₂²⋊C₄	—	5	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1483	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1484	C₄²	—	2	1	no	—
1485	C₄²	—	5	1	no	—
1486	C₄²	—	5	1	no	—
1487	C₄²	—	5	1	no	—
1488	C₄²	—	5	1	no	—
1489	C₄²	—	5	1	no	—
1490	C₄²	—	5	1	no	—
1491	C₄²	—	5	1	no	—
1492	C₄²	—	5	1	no	—
1493	C₄²	—	5	1	no	—
1494	C₄²	—	10	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	—	10	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	—	10	1	no	—
1502	C₄²	—	10	1	no	—
1503	C₄²	C₂³×D₅	1	1	yes	characteristic
1504	C₂×C₅	—	2	2	no	—
1505	C₂×C₅	—	4	1	no	—
1506	C₂×C₅	—	4	2	no	—
1507	C₂×C₅	—	8	1	no	—
1508	C₂×C₅	—	8	1	no	—
1509	C₂×C₅	#3489	1	1	yes	characteristic
1510	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1511	C₂×C₅	#3585	1	1	yes	characteristic
1512	D₅	—	4	1	no	—
1513	D₅	—	8	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	4	2	no	—
1518	C₂³	—	4	2	no	—
1519	C₂³	—	5	1	no	—
1520	C₂³	—	8	1	no	—
1521	C₂³	—	10	1	no	—
1522	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1523	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	10	2	no	—
1527	Q₈	—	10	1	no	—
1528	Q₈	—	10	1	no	—
1529	Q₈	—	20	2	no	—
1530	Q₈	—	20	2	no	—
1531	Q₈	—	20	2	no	—
1532	Q₈	—	40	1	no	—
1533	Q₈	—	40	1	no	—
1534	Q₈	—	40	1	no	—
1535	D₄	—	2	2	no	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	4	2	no	—
1542	D₄	—	4	2	no	—
1543	D₄	—	4	2	no	—
1544	D₄	—	8	1	no	—
1545	D₄	—	8	1	no	—
1546	D₄	—	10	2	no	—
1547	D₄	—	10	2	no	—
1548	D₄	—	10	1	no	—
1549	D₄	—	10	1	no	—
1550	D₄	—	20	2	no	—
1551	D₄	—	20	2	no	—
1552	D₄	—	20	2	no	—
1553	D₄	—	20	2	no	—
1554	D₄	—	40	1	no	—
1555	D₄	—	40	1	no	—
1556	D₄	—	40	1	no	—
1557	D₄	—	40	1	no	—
1558	D₄	#4150	1	2	yes	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	4	2	no	—
1569	C₂×C₄	—	5	4	no	—
1570	C₂×C₄	—	5	1	no	—
1571	C₂×C₄	—	5	1	no	—
1572	C₂×C₄	—	5	1	no	—
1573	C₂×C₄	—	5	1	no	—
1574	C₂×C₄	—	5	1	no	—
1575	C₂×C₄	—	5	1	no	—
1576	C₂×C₄	—	5	1	no	—
1577	C₂×C₄	—	8	1	no	—
1578	C₂×C₄	—	8	1	no	—
1579	C₂×C₄	—	8	1	no	—
1580	C₂×C₄	—	10	2	no	—
1581	C₂×C₄	—	10	2	no	—
1582	C₂×C₄	—	10	1	no	—
1583	C₂×C₄	—	10	1	no	—
1584	C₂×C₄	—	10	1	no	—
1585	C₂×C₄	—	10	1	no	—
1586	C₂×C₄	—	10	1	no	—
1587	C₂×C₄	—	10	1	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	10	1	no	—
1591	C₂×C₄	—	20	1	no	—
1592	C₂×C₄	—	20	2	no	—
1593	C₂×C₄	—	20	2	no	—
1594	C₂×C₄	—	20	2	no	—
1595	C₂×C₄	—	20	2	no	—
1596	C₂×C₄	—	20	2	no	—
1597	C₂×C₄	—	20	2	no	—
1598	C₂×C₄	—	20	1	no	—
1599	C₂×C₄	—	20	1	no	—
1600	C₂×C₄	—	20	2	no	—
1601	C₂×C₄	—	20	2	no	—
1602	C₂×C₄	—	40	1	no	—
1603	C₂×C₄	—	40	1	no	—
1604	C₂×C₄	—	40	1	no	—
1605	C₂×C₄	—	40	1	no	—
1606	C₂×C₄	—	40	1	no	—
1607	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1612	C₈	—	2	1	no	—
1613	C₈	—	2	1	no	—
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	10	1	no	—
1617	C₈	—	10	1	no	—
1618	C₈	—	10	1	no	—
1619	C₈	—	10	1	no	—
1620	C₅	#62098	1	1	yes	characteristic, complemented, Sylow
1621	C₂²	—	2	1	no	—
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	2	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	8	4	no	—
1636	C₂²	—	10	1	no	—
1637	C₂²	—	10	1	no	—
1638	C₂²	—	10	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	20	1	no	—
1641	C₂²	—	20	1	no	—
1642	C₂²	D₅×#135	1	2	yes	—
1643	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	5	2	no	—
1654	C₄	—	5	2	no	—
1655	C₄	—	10	1	no	—
1656	C₄	—	10	1	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	20	1	no	—
1661	C₄	—	20	1	no	—
1662	C₄	—	20	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	C₂×#4150	1	1	yes	characteristic
1668	C₄	#66285	1	1	yes	characteristic
1669	C₂	—	2	2	no	—
1670	C₂	—	4	1	no	—
1671	C₂	—	4	2	no	—
1672	C₂	—	8	1	no	—
1673	C₂	—	8	1	no	—
1674	C₂	—	20	1	no	—
1675	C₂	—	40	1	no	—
1676	C₂	#10618531	1	1	yes	characteristic
1677	C₂	C₂×D₅×#135	1	1	yes	characteristic
1678	C₂	#10619105	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×#3297	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3297	D₅
hypocenter	C₅	#62098
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3297

Complements

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

N	H ≅ G/N	type
1. #10618780	C₂	semidirect
2. #10618528	C₂	semidirect
3. C₅×#3297	C₂	semidirect
4. #10615337	C₂	semidirect
5. #10615226	C₂	semidirect
6. #10613380	C₂	semidirect
7. #10613363	C₂	semidirect
8. #10613195	C₂	semidirect
9. #10613189	C₂	semidirect
10. #10613120	C₂	semidirect
11. #10613088	C₂	semidirect
12. #10612896	C₂	semidirect
13. #10612887	C₂	semidirect
14. #10612441	C₂	semidirect
15. #10612434	C₂	semidirect
16. #10612380	C₂	semidirect
17. #10612371	C₂	semidirect
18. #10612247	C₂	semidirect
19. #10612243	C₂	semidirect
20. #10611835	C₂	semidirect
21. #10611800	C₂	semidirect
22. #10611746	C₂	semidirect
23. #10611719	C₂	semidirect
24. #10611324	C₂	semidirect
25. #10611306	C₂	semidirect
26. #10611145	C₂	semidirect
27. #10611136	C₂	semidirect
28. #10610581	C₂	semidirect
29. #10610553	C₂	semidirect
30. #10610491	C₂	semidirect
31. C₂×#65050	C₂	semidirect
40. #66024	C₂²	semidirect
41. #66022	C₂²	semidirect
52. #65950	C₂²	semidirect
59. #65930	C₂²	semidirect
64. #65882	C₂²	semidirect
68. #65873	C₂²	semidirect
71. #65866	C₂²	semidirect
72. #65851	C₂²	semidirect
94. #65460	C₂²	semidirect
95. #65452	C₂²	semidirect
96. #65451	C₂²	semidirect
97. SD₁₆×Dic₅	C₂²	semidirect
107. #65403	C₂²	semidirect
109. C₈×C₂²⋊D₅	C₂²	semidirect
110. #65395	C₂²	semidirect
113. C₂×#3946	C₂²	semidirect
114. #65353	C₂²	semidirect
115. #65352	C₂²	semidirect
121. #65330	C₂²	semidirect
124. #65324	C₂²	semidirect
126. C₄×#687	C₂²	semidirect
130. #65298	C₂²	semidirect
131. #65287	C₂²	semidirect
132. #65285	C₂²	semidirect
135. #65180	C₂²	semidirect
136. #65174	C₂²	semidirect
137. #65169	C₂²	semidirect
138. #65167	C₂²	semidirect
139. #65164	C₂²	semidirect
140. #65164	C₂²	semidirect
141. #65163	C₂²	semidirect
142. #65163	C₂²	semidirect
143. #65159	C₂²	semidirect
144. #65149	C₂²	semidirect
145. #65147	C₂²	semidirect
146. #65143	C₂²	semidirect
147. #65136	C₂²	semidirect
148. D₅×C₄⋊C₈	C₂²	semidirect
149. #65119	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65107	C₂²	semidirect
152. #65104	C₂²	semidirect
153. #65103	C₂²	semidirect
154. #65096	C₂²	semidirect
155. #65088	C₂²	semidirect
156. #65085	C₂²	semidirect
157. #65083	C₂²	semidirect
158. #65083	C₂²	semidirect
159. #65081	C₂²	semidirect
160. #65081	C₂²	semidirect
161. #65080	C₂²	semidirect
162. #65077	C₂²	semidirect
167. #65068	C₂²	semidirect
175. #65052	C₂²	semidirect
176. #65051	C₂²	semidirect
185. #65050	C₂²	semidirect
191. #65026	C₂²	semidirect
194. #65014	C₂²	semidirect
195. #65012	C₂²	semidirect
198. #65007	C₂²	semidirect
199. C₄×#677	C₂²	semidirect
200. #64974	C₂²	semidirect
201. #64972	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
496. #3297	D₅	semidirect
1620. C₅	#62098	semidirect

Maximal subgroups

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

subgroup	index
#10618780	2
#10618528	2
C₅×#3297	2
#10615337	2
#10615226	2
#10613380	2
#10613363	2
#10613195	2
#10613189	2
#10613120	2
#10613088	2
#10612896	2
#10612887	2
#10612441	2
#10612434	2
#10612380	2
#10612371	2
#10612247	2
#10612243	2
#10611835	2
#10611800	2
#10611746	2
#10611719	2
#10611324	2
#10611306	2
#10611145	2
#10611136	2
#10610581	2
#10610553	2
#10610491	2
C₂×#65050	2
#62098	5