Subgroups — #12980728

Order 1280.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618727	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618528	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3296	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615321	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615236	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613363	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613359	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613167	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613143	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613120	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613079	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612887	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612871	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612506	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612472	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612413	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612364	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612319	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612299	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612000	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611943	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611899	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611863	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611351	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611171	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈×#711	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610581	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610549	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610490	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65045	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#552	C₂²	1	1	yes	characteristic
33	C₅×#546	C₂²	1	1	yes	characteristic
34	#41×Dic₅	C₂²	1	1	yes	characteristic, complemented
35	#66158	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4096	C₂²	1	1	yes	characteristic
37	#66140	C₂²	1	1	yes	characteristic
38	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
39	C₂²×#686	C₂²	1	1	yes	characteristic
40	C₂×#4062	C₂²	1	1	yes	characteristic
41	#66043	—	2	1	no	—
42	#66040	—	2	1	no	—
43	#66027	—	2	1	no	—
44	#66025	—	2	1	no	—
45	#66025	C₂²	1	1	yes	characteristic, complemented
46	#66024	C₂²	1	1	yes	characteristic, complemented
47	#66014	C₂²	1	1	yes	characteristic, complemented
48	#66005	C₂²	1	1	yes	characteristic, complemented
49	#65992	—	2	1	no	—
50	#65990	—	2	1	no	—
51	#65984	—	2	1	no	—
52	#65983	—	2	1	no	—
53	#65976	C₂²	1	1	yes	characteristic
54	#65965	C₂²	1	1	yes	characteristic, complemented
55	#65964	C₂²	1	1	yes	characteristic
56	#65958	C₂²	1	1	yes	characteristic, complemented
57	#65956	C₂²	1	1	yes	characteristic
58	#65956	C₂²	1	1	yes	characteristic
59	#65950	C₂²	1	1	yes	characteristic, complemented
60	#65935	—	2	1	no	—
61	#65934	—	2	1	no	—
62	#65934	C₂²	1	1	yes	characteristic, complemented
63	#65921	—	2	1	no	—
64	#65920	—	2	1	no	—
65	C₄×#713	C₂²	1	1	yes	characteristic, complemented
66	#65902	C₂²	1	1	yes	characteristic, complemented
67	#65884	C₂²	1	1	yes	characteristic
68	#65875	C₂²	1	1	yes	characteristic
69	#65873	C₂²	1	1	yes	characteristic, complemented
70	C₄×#711	C₂²	1	1	yes	characteristic
71	C₄×#711	C₂²	1	1	yes	characteristic, complemented
72	#65866	C₂²	1	1	yes	characteristic, complemented
73	#65861	—	2	1	no	—
74	#65856	C₂²	1	1	yes	characteristic, complemented
75	D₅×#117	—	2	1	no	—
76	#65847	C₂²	1	1	yes	characteristic
77	C₂×#4039	C₂²	1	1	yes	characteristic
78	#65829	—	2	1	no	—
79	C₂×#4023	—	2	1	no	—
80	C₅×#488	C₂²	1	1	yes	characteristic, complemented
81	C₅×#483	C₂²	1	1	yes	characteristic
82	C₅×#482	C₂²	1	1	yes	characteristic, complemented
83	C₅×#478	C₂²	1	1	yes	characteristic, complemented
84	C₅×#467	C₂²	1	1	yes	characteristic
85	C₅×#465	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic, complemented
87	C₅×#452	C₂²	1	1	yes	characteristic, complemented
88	C₅×#450	C₂²	1	1	yes	characteristic
89	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
90	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
91	C₅×#416	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₅×#102	C₂²	1	1	yes	characteristic
93	#65527	C₂²	1	1	yes	characteristic
94	#65507	C₂²	1	1	yes	characteristic
95	#65476	C₂²	1	1	yes	characteristic, complemented
96	#65474	C₂²	1	1	yes	characteristic, complemented
97	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
98	#65470	C₂²	1	1	yes	characteristic, complemented
99	#65461	C₂²	1	1	yes	characteristic
100	#65457	C₂²	1	1	yes	characteristic
101	#65454	C₂²	1	1	yes	characteristic
102	#65451	C₂²	1	1	yes	characteristic, complemented
103	#65451	C₂²	1	1	yes	characteristic, complemented
104	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
106	#65405	C₂²	1	1	yes	characteristic
107	#65403	C₂²	1	1	yes	characteristic, complemented
108	#65402	C₂²	1	1	yes	characteristic, complemented
109	C₂×#3953	C₂²	1	1	yes	characteristic
110	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
111	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
113	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
114	#65353	C₂²	1	1	yes	characteristic, complemented
115	#65352	C₂²	1	1	yes	characteristic, complemented
116	#65348	C₂²	1	1	yes	characteristic
117	#65346	C₂²	1	1	yes	characteristic
118	#65340	C₂²	1	1	yes	characteristic
119	#65340	C₂²	1	1	yes	characteristic
120	#65340	C₂²	1	1	yes	characteristic, complemented
121	#65335	C₂²	1	1	yes	characteristic
122	#65334	C₂²	1	1	yes	characteristic, complemented
123	#65332	C₂²	1	1	yes	characteristic
124	#65327	C₂²	1	1	yes	characteristic
125	#65326	C₂²	1	1	yes	characteristic
126	C₄×#689	C₂²	1	1	yes	characteristic, complemented
127	#65311	C₂²	1	1	yes	characteristic, complemented
128	#65305	C₂²	1	1	yes	characteristic
129	C₄×#686	C₂²	1	1	yes	characteristic
130	D₄×#168	C₂²	1	1	yes	characteristic
131	#65287	C₂²	1	1	yes	characteristic, complemented
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	#65260	C₂²	1	1	yes	characteristic
134	C₂×#3939	C₂²	1	1	yes	characteristic
135	#65180	C₂²	1	1	yes	characteristic, complemented
136	#65174	C₂²	1	1	yes	characteristic, complemented
137	#65163	C₂²	1	1	yes	characteristic, complemented
138	#65162	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65156	C₂²	1	1	yes	characteristic, complemented
142	#65149	C₂²	1	1	yes	characteristic, complemented
143	#65147	C₂²	1	1	yes	characteristic, complemented
144	#65146	C₂²	1	1	yes	characteristic, complemented
145	#65141	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65122	C₂²	1	1	yes	characteristic, complemented
150	#65119	C₂²	1	1	yes	characteristic, complemented
151	#65107	C₂²	1	1	yes	characteristic, complemented
152	#65107	C₂²	1	1	yes	characteristic, complemented
153	#65104	C₂²	1	1	yes	characteristic, complemented
154	#65102	C₂²	1	1	yes	characteristic, complemented
155	#65096	C₂²	1	1	yes	characteristic, complemented
156	#65093	C₂²	1	1	yes	characteristic, complemented
157	#65089	C₂²	1	1	yes	characteristic, complemented
158	#65088	C₂²	1	1	yes	characteristic, complemented
159	#65081	C₂²	1	1	yes	characteristic, complemented
160	#65081	C₂²	1	1	yes	characteristic, complemented
161	#65079	C₂²	1	1	yes	characteristic, complemented
162	#65079	C₂²	1	1	yes	characteristic, complemented
163	#65079	C₂²	1	1	yes	characteristic, complemented
164	#65077	C₂²	1	1	yes	characteristic, complemented
165	#65077	C₂²	1	1	yes	characteristic, complemented
166	#65077	C₂²	1	1	yes	characteristic, complemented
167	#65076	C₂²	1	1	yes	characteristic
168	#65073	C₂²	1	1	yes	characteristic, complemented
169	#65072	C₂²	1	1	yes	characteristic, complemented
170	#65070	C₂²	1	1	yes	characteristic
171	#65067	C₂²	1	1	yes	characteristic, complemented
172	#65064	C₂²	1	1	yes	characteristic
173	#65061	C₂²	1	1	yes	characteristic, complemented
174	#65057	C₂²	1	1	yes	characteristic, complemented
175	#65056	C₂²	1	1	yes	characteristic, complemented
176	#65055	C₂²	1	1	yes	characteristic, complemented
177	#65050	C₂²	1	1	yes	characteristic, complemented
178	#65050	C₂²	1	1	yes	characteristic, complemented
179	#65047	C₂²	1	1	yes	characteristic, complemented
180	#65047	C₂²	1	1	yes	characteristic, complemented
181	#65047	C₂²	1	1	yes	characteristic, complemented
182	#65045	C₂²	1	1	yes	characteristic
183	#65045	C₂²	1	1	yes	characteristic
184	#65045	C₂²	1	1	yes	characteristic
185	#65045	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65045	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	#65022	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic
194	#65014	C₂²	1	1	yes	characteristic
195	#65014	C₂²	1	1	yes	characteristic, complemented
196	#65010	C₂²	1	1	yes	characteristic
197	#65007	C₂²	1	1	yes	characteristic
198	#65007	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61427	—	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×#713	C₂³	1	1	yes	characteristic
208	C₂×#711	D₄	1	1	yes	characteristic
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#709	C₂³	1	1	yes	characteristic
211	C₂²×D₂₀	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	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	—	2	1	no	—
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#124	C₂³	1	1	yes	characteristic
222	C₅×#123	—	2	1	no	—
223	C₅×#123	—	2	1	no	—
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₅×#121	—	2	1	no	—
228	C₅×#121	C₂³	1	1	yes	characteristic
229	C₅×#120	—	2	1	no	—
230	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₅×#117	—	2	1	no	—
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	#4096	—	2	4	no	—
241	#4093	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	#4090	C₂³	1	1	yes	characteristic
247	#4090	C₂³	1	1	yes	characteristic
248	C₂×#689	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#688	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	#4085	—	2	1	no	—
253	#4085	—	2	1	no	—
254	#4085	—	2	1	no	—
255	#4084	C₂³	1	1	yes	characteristic
256	#4083	—	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	D₄	1	1	yes	characteristic
269	D₄×Dic₅	C₂³	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	C₂×#687	C₂³	1	1	yes	characteristic
275	C₂×#687	C₂³	1	1	yes	characteristic
276	C₂×#686	—	2	4	no	—
277	C₂×#686	C₂³	1	1	yes	characteristic
278	C₂×#686	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	#4076	C₂³	1	1	yes	characteristic
282	#4075	—	2	1	no	—
283	#4075	—	2	1	no	—
284	C₄×C₂²⋊D₅	—	2	1	no	—
285	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
286	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
287	C₂×#685	—	2	1	no	—
288	#4072	—	2	1	no	—
289	#4072	—	2	1	no	—
290	#4072	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
292	#4070	—	2	1	no	—
293	#4070	C₂³	1	1	yes	characteristic
294	#4070	C₂³	1	1	yes	characteristic
295	#4070	C₂³	1	1	yes	characteristic
296	C₂×#683	—	2	1	no	—
297	C₂×#683	—	2	1	no	—
298	C₂×C₄×Dic₅	—	2	1	no	—
299	C₂×C₄×Dic₅	—	2	1	no	—
300	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
302	C₂²×#168	C₂³	1	1	yes	characteristic
303	C₂²×#168	C₂³	1	1	yes	characteristic
304	#4062	—	2	4	no	—
305	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
306	C₂×#677	C₂³	1	1	yes	characteristic
307	C₂×#677	C₂³	1	1	yes	characteristic
308	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
310	#4044	—	2	1	no	—
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	—	2	1	no	—
314	#4044	—	2	1	no	—
315	#4043	—	2	1	no	—
316	#4043	C₂³	1	1	yes	characteristic
317	#4042	—	2	1	no	—
318	#4042	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4041	—	2	1	no	—
321	#4041	C₂³	1	1	yes	characteristic
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4040	—	2	1	no	—
325	#4040	—	2	1	no	—
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	—	2	1	no	—
329	#4039	—	2	1	no	—
330	#4039	C₂³	1	1	yes	characteristic
331	#4039	C₂³	1	1	yes	characteristic
332	#4039	C₂³	1	1	yes	characteristic
333	#4039	C₂³	1	1	yes	characteristic
334	#4039	C₂³	1	1	yes	characteristic
335	#4038	—	2	1	no	—
336	#4038	—	2	1	no	—
337	#4038	—	2	1	no	—
338	#4038	D₄	1	1	yes	characteristic
339	#4038	C₂³	1	1	yes	characteristic
340	#4038	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	—	2	1	no	—
343	#4036	—	2	1	no	—
344	#4036	C₂³	1	1	yes	characteristic
345	#4036	C₂³	1	1	yes	characteristic
346	#4035	—	2	1	no	—
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4034	C₂³	1	1	yes	characteristic
351	#4034	C₂³	1	1	yes	characteristic
352	#4033	—	2	1	no	—
353	#4033	—	2	1	no	—
354	#4033	D₄	1	1	yes	characteristic
355	#4033	C₂³	1	1	yes	characteristic
356	#4033	C₂³	1	1	yes	characteristic
357	#4033	C₂³	1	1	yes	characteristic
358	#4032	—	2	1	no	—
359	#4032	—	2	1	no	—
360	#4031	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4030	—	2	1	no	—
363	#4030	—	2	1	no	—
364	#4030	—	2	1	no	—
365	#4029	—	2	1	no	—
366	#4029	—	2	1	no	—
367	#4028	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	#4027	—	2	1	no	—
373	#4027	D₄	1	1	yes	characteristic
374	#4027	D₄	1	1	yes	characteristic
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	—	2	1	no	—
382	#4024	—	2	1	no	—
383	#4024	—	2	1	no	—
384	#4024	—	2	1	no	—
385	#4024	—	2	1	no	—
386	#4024	—	2	1	no	—
387	#4023	—	2	1	no	—
388	#4023	—	2	1	no	—
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4023	—	2	1	no	—
393	#4023	—	2	1	no	—
394	#4023	—	2	1	no	—
395	#4023	—	2	1	no	—
396	#4023	D₄	1	1	yes	characteristic
397	#4023	D₄	1	1	yes	characteristic
398	#4022	—	2	1	no	—
399	#4021	—	2	1	no	—
400	#4021	C₂³	1	1	yes	characteristic
401	C₄×D₂₀	—	2	1	no	—
402	C₄×D₂₀	C₂³	1	1	yes	characteristic
403	#4018	—	2	1	no	—
404	#4018	—	2	1	no	—
405	#4018	—	2	1	no	—
406	C₄²×D₅	—	2	1	no	—
407	C₄²×D₅	—	2	1	no	—
408	C₄²×D₅	C₂³	1	1	yes	characteristic
409	#4016	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₅×#107	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#102	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
429	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	C₂²⋊#168	C₂³	1	1	yes	characteristic
436	C₂²⋊#168	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3949	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3948	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	C₈×Dic₅	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	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	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	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3475	—	5	1	no	—
483	#3475	—	5	1	no	—
484	#3393	—	5	1	no	—
485	#3380	—	5	1	no	—
486	#3360	—	5	1	no	—
487	#3360	—	5	1	no	—
488	#3341	—	5	1	no	—
489	#3336	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3303	—	5	1	no	—
492	#3303	—	5	1	no	—
493	#3296	—	5	1	no	—
494	#3296	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3296	D₅	1	1	yes	characteristic, complemented
497	#3283	—	5	1	no	—
498	#3280	—	5	1	no	—
499	#3280	—	5	1	no	—
500	#3170	—	5	1	no	—
501	#3168	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3102	—	5	1	no	—
504	#3102	—	5	1	no	—
505	#3102	—	5	1	no	—
506	#3102	—	5	1	no	—
507	#3101	—	5	1	no	—
508	#3101	—	5	1	no	—
509	C₈×#41	—	5	1	no	—
510	C₄×#135	—	5	1	no	—
511	C₄×#135	—	5	1	no	—
512	C₂×C₄×D₈	—	5	1	no	—
513	C₂⁴×C₅	—	2	1	no	—
514	C₂³×D₅	—	2	1	no	—
515	C₅×#41	—	2	2	no	—
516	C₅×#41	—	4	1	no	—
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	—	2	2	no	—
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	4	1	no	—
524	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
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	—	4	4	no	—
546	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
549	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
550	#713	—	2	2	no	—
551	#713	—	4	1	no	—
552	#711	—	2	4	no	—
553	#711	—	2	2	no	—
554	#711	—	4	1	no	—
555	#709	—	2	2	no	—
556	#709	—	4	1	no	—
557	C₂×D₂₀	—	2	2	no	—
558	C₂×D₂₀	—	2	1	no	—
559	C₂×D₂₀	—	2	1	no	—
560	C₂×D₂₀	—	2	1	no	—
561	C₂×D₂₀	—	4	1	no	—
562	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
563	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	4	4	no	—
573	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	2	1	no	—
578	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
579	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
581	C₅×Q₁₆	—	4	1	no	—
582	C₅×SD₁₆	—	2	2	no	—
583	C₅×SD₁₆	—	4	1	no	—
584	C₂×C₅×C₈	—	4	1	no	—
585	C₂×C₅×C₈	—	4	1	no	—
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₄²×C₅	—	2	1	no	—
613	C₄²×C₅	—	2	1	no	—
614	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
628	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
629	#689	—	2	2	no	—
630	#689	—	2	2	no	—
631	#688	—	2	2	no	—
632	#688	—	4	1	no	—
633	#687	—	2	2	no	—
634	#687	—	4	1	no	—
635	#686	—	2	2	no	—
636	#686	—	2	2	no	—
637	#686	—	2	2	no	—
638	#686	#41	1	4	yes	complemented
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	C₂×D₄	1	1	yes	characteristic
656	#685	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
708	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
709	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
710	C₂×#168	—	2	2	no	—
711	C₂×#168	—	2	2	no	—
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	C₂×#168	C₂⁴	1	1	yes	characteristic
714	C₂×#168	C₂⁴	1	1	yes	characteristic
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	Dic₂₀	—	4	1	no	—
717	#677	—	2	2	no	—
718	#677	—	4	1	no	—
719	C₈×D₅	—	2	2	no	—
720	C₈×D₅	—	4	1	no	—
721	C₂×#135	—	5	1	no	—
722	C₂×#135	—	5	1	no	—
723	C₂²×D₈	—	5	1	no	—
724	#556	—	5	1	no	—
725	#556	—	5	1	no	—
726	#555	—	5	1	no	—
727	#555	—	5	1	no	—
728	#554	—	5	1	no	—
729	#554	—	5	1	no	—
730	#553	—	10	1	no	—
731	#553	—	10	1	no	—
732	#552	—	5	1	no	—
733	#552	—	5	1	no	—
734	#552	—	5	1	no	—
735	#552	—	10	1	no	—
736	#552	—	10	1	no	—
737	#552	C₂×D₅	1	1	yes	characteristic
738	#551	—	10	1	no	—
739	#551	—	10	1	no	—
740	#551	—	10	1	no	—
741	#551	—	10	1	no	—
742	#547	—	5	1	no	—
743	#547	—	5	1	no	—
744	#546	—	5	1	no	—
745	#546	—	5	1	no	—
746	#546	—	5	1	no	—
747	#546	C₂×D₅	1	1	yes	characteristic
748	#533	—	5	1	no	—
749	#533	—	5	1	no	—
750	#529	—	5	1	no	—
751	#529	—	5	1	no	—
752	#529	—	5	1	no	—
753	#529	—	5	1	no	—
754	#529	—	10	1	no	—
755	#529	—	10	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#525	—	10	1	no	—
759	#525	—	10	1	no	—
760	C₄×#41	—	5	1	no	—
761	C₄×#41	—	5	1	no	—
762	C₄×#41	—	5	1	no	—
763	C₄×#41	—	5	1	no	—
764	C₄×#41	—	5	1	no	—
765	C₂×C₄×D₄	—	5	1	no	—
766	C₂×C₄×D₄	—	5	1	no	—
767	C₂×#117	—	10	1	no	—
768	C₂×#117	—	10	1	no	—
769	#500	—	5	1	no	—
770	#499	—	5	1	no	—
771	#499	—	5	1	no	—
772	#495	—	5	1	no	—
773	#495	—	5	1	no	—
774	#494	—	5	1	no	—
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#488	C₂×D₅	1	1	yes	characteristic, complemented
779	#487	—	5	1	no	—
780	#487	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#485	—	5	1	no	—
785	#483	—	5	1	no	—
786	#483	—	5	1	no	—
787	#483	—	5	1	no	—
788	#483	C₂×D₅	1	1	yes	characteristic
789	#482	—	5	1	no	—
790	#482	—	5	1	no	—
791	#482	—	5	1	no	—
792	#482	C₂×D₅	1	1	yes	characteristic, complemented
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	C₂×D₅	1	1	yes	characteristic, complemented
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#467	—	5	1	no	—
806	#467	—	5	1	no	—
807	#467	—	5	1	no	—
808	#467	—	5	1	no	—
809	#467	—	5	1	no	—
810	#467	C₂×D₅	1	1	yes	characteristic
811	#466	—	5	1	no	—
812	#466	—	5	1	no	—
813	#465	—	5	1	no	—
814	#465	—	5	1	no	—
815	#465	—	5	1	no	—
816	#465	C₂×D₅	1	1	yes	characteristic, complemented
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	C₂×D₅	1	1	yes	characteristic, complemented
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	—	5	1	no	—
824	#463	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#461	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#452	—	5	1	no	—
832	#452	C₂×D₅	1	1	yes	characteristic, complemented
833	#450	—	5	1	no	—
834	#450	—	5	1	no	—
835	#450	—	5	1	no	—
836	#450	C₂×D₅	1	1	yes	characteristic
837	#449	—	5	1	no	—
838	#449	—	5	1	no	—
839	#449	—	5	1	no	—
840	#449	—	5	1	no	—
841	C₈×Q₈	—	5	1	no	—
842	C₈×Q₈	—	5	1	no	—
843	C₄×Q₁₆	—	5	1	no	—
844	C₄×Q₁₆	—	5	1	no	—
845	C₄×Q₁₆	—	5	1	no	—
846	C₄×Q₁₆	—	5	1	no	—
847	C₄×Q₁₆	—	5	1	no	—
848	C₄×Q₁₆	—	5	1	no	—
849	C₄×SD₁₆	—	5	1	no	—
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	—	5	1	no	—
854	C₄×SD₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
861	C₄×D₈	—	5	1	no	—
862	C₄×D₈	—	5	1	no	—
863	C₄×D₈	—	5	1	no	—
864	C₄×D₈	—	5	1	no	—
865	C₄×D₈	—	5	1	no	—
866	C₄×D₈	—	5	1	no	—
867	C₄×D₈	—	5	1	no	—
868	C₄×D₈	—	5	1	no	—
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	C₈×D₄	—	5	1	no	—
875	C₈×D₄	—	5	1	no	—
876	C₈×D₄	C₂×D₅	1	1	yes	characteristic
877	#431	—	5	1	no	—
878	#431	—	5	1	no	—
879	#431	—	5	1	no	—
880	#427	—	5	1	no	—
881	#427	—	5	1	no	—
882	C₂×#107	—	5	1	no	—
883	#416	—	5	1	no	—
884	#416	—	5	1	no	—
885	#416	—	5	1	no	—
886	#416	C₂×D₅	1	1	yes	characteristic, complemented
887	C₂×#102	—	5	1	no	—
888	C₂×#102	C₂×D₅	1	1	yes	characteristic
889	C₂×C₄×C₈	—	5	1	no	—
890	C₂×C₄×C₈	—	5	1	no	—
891	C₂×C₄×C₈	—	5	1	no	—
892	C₂³×C₅	—	2	1	no	—
893	C₂³×C₅	—	2	1	no	—
894	C₂³×C₅	—	4	2	no	—
895	C₂³×C₅	—	4	2	no	—
896	C₂³×C₅	—	8	1	no	—
897	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
899	C₂²×D₅	—	2	1	no	—
900	C₂²×D₅	—	2	1	no	—
901	C₂²×D₅	—	4	2	no	—
902	C₂²×D₅	—	4	2	no	—
903	C₂²×D₅	—	8	1	no	—
904	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×D₄	—	2	2	no	—
910	C₅×D₄	—	2	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	4	2	no	—
914	C₅×D₄	—	4	2	no	—
915	C₅×D₄	—	8	1	no	—
916	C₅×D₄	C₂×#41	1	2	yes	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	2	1	no	—
927	C₂×C₄×C₅	—	4	2	no	—
928	C₂×C₄×C₅	—	4	2	no	—
929	C₂×C₄×C₅	—	8	1	no	—
930	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
933	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
935	C₂²⋊D₅	—	2	2	no	—
936	C₂²⋊D₅	—	2	2	no	—
937	C₂²⋊D₅	—	4	2	no	—
938	C₂²⋊D₅	—	4	2	no	—
939	C₂²⋊D₅	—	8	1	no	—
940	C₂²⋊D₅	—	8	1	no	—
941	C₂×Dic₅	—	2	2	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	—	2	1	no	—
946	C₂×Dic₅	—	2	1	no	—
947	C₂×Dic₅	—	2	1	no	—
948	C₂×Dic₅	—	4	1	no	—
949	C₂×Dic₅	—	4	1	no	—
950	C₂×Dic₅	—	4	2	no	—
951	C₂×Dic₅	—	4	2	no	—
952	C₂×Dic₅	—	4	2	no	—
953	C₂×Dic₅	—	4	2	no	—
954	C₂×Dic₅	—	4	2	no	—
955	C₂×Dic₅	—	4	2	no	—
956	C₂×Dic₅	—	8	1	no	—
957	C₂×Dic₅	#135	1	4	yes	complemented
958	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
959	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
960	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
962	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
965	D₂₀	—	2	1	no	—
966	D₂₀	—	2	1	no	—
967	D₂₀	—	2	1	no	—
968	D₂₀	—	4	2	no	—
969	D₂₀	—	4	2	no	—
970	D₂₀	—	8	1	no	—
971	D₂₀	C₂×#41	1	2	yes	—
972	C₄×D₅	—	2	1	no	—
973	C₄×D₅	—	2	1	no	—
974	C₄×D₅	—	2	2	no	—
975	C₄×D₅	—	4	1	no	—
976	C₄×D₅	—	4	2	no	—
977	C₄×D₅	—	4	2	no	—
978	C₄×D₅	—	4	2	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	4	2	no	—
981	C₄×D₅	—	4	2	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	Dic₁₀	—	2	2	no	—
985	Dic₁₀	—	2	1	no	—
986	Dic₁₀	—	2	1	no	—
987	Dic₁₀	—	2	1	no	—
988	Dic₁₀	—	2	1	no	—
989	Dic₁₀	—	8	1	no	—
990	Dic₁₀	—	8	1	no	—
991	C₅×C₈	—	2	1	no	—
992	C₅×C₈	—	2	1	no	—
993	C₅×C₈	—	2	1	no	—
994	C₅×C₈	—	2	1	no	—
995	#168	—	2	1	no	—
996	#168	—	2	1	no	—
997	#168	—	2	1	no	—
998	#168	C₂×#41	1	2	yes	—
999	C₂×#41	—	5	1	no	—
1000	C₂×#41	—	5	1	no	—
1001	C₂×#41	—	5	1	no	—
1002	C₂×#41	—	5	1	no	—
1003	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1004	C₂²×D₄	—	5	1	no	—
1005	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1006	C₂³×C₄	—	10	1	no	—
1007	C₂³×C₄	—	10	1	no	—
1008	#135	—	10	4	no	—
1009	#135	—	10	4	no	—
1010	C₂×Q₁₆	—	5	1	no	—
1011	C₂×Q₁₆	—	5	1	no	—
1012	C₂×Q₁₆	—	5	1	no	—
1013	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1014	C₂×SD₁₆	—	5	1	no	—
1015	C₂×SD₁₆	—	5	1	no	—
1016	C₂×SD₁₆	—	5	1	no	—
1017	C₂×SD₁₆	—	5	1	no	—
1018	C₂×SD₁₆	—	5	1	no	—
1019	C₂×SD₁₆	—	5	1	no	—
1020	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1021	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1022	C₂×D₈	—	5	1	no	—
1023	C₂×D₈	—	5	1	no	—
1024	C₂×D₈	—	5	1	no	—
1025	C₂×D₈	—	5	1	no	—
1026	C₂×D₈	—	10	4	no	—
1027	C₂²×C₈	—	5	1	no	—
1028	C₂²×C₈	—	5	1	no	—
1029	C₂²×C₈	—	5	1	no	—
1030	C₂²×C₈	—	5	1	no	—
1031	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1032	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1033	C₄⋊Q₈	—	5	1	no	—
1034	C₄⋊Q₈	—	5	1	no	—
1035	C₄⋊Q₈	—	5	1	no	—
1036	C₄⋊Q₈	—	5	1	no	—
1037	#126	—	2	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#126	—	10	1	no	—
1046	#126	—	10	1	no	—
1047	#126	—	10	1	no	—
1048	#126	—	10	1	no	—
1049	#125	—	2	1	no	—
1050	#125	—	5	1	no	—
1051	#125	—	5	1	no	—
1052	#125	—	5	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	—	10	1	no	—
1056	#125	—	10	1	no	—
1057	#125	—	10	1	no	—
1058	#125	C₂²×D₅	1	1	yes	characteristic
1059	#124	—	5	1	no	—
1060	#124	—	5	1	no	—
1061	#124	—	5	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	C₂²×D₅	1	1	yes	characteristic
1067	#123	—	2	1	no	—
1068	#123	—	2	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	#123	—	10	1	no	—
1083	C₂²⋊Q₈	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	1	no	—
1085	C₂²⋊Q₈	—	5	1	no	—
1086	C₂²⋊Q₈	—	5	1	no	—
1087	C₂²⋊Q₈	—	5	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1101	#121	—	2	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	5	1	no	—
1105	#121	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	C₂²×D₅	1	1	yes	characteristic
1113	#120	—	2	1	no	—
1114	#120	—	10	1	no	—
1115	#120	—	10	1	no	—
1116	#120	—	10	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	5	1	no	—
1120	C₄×Q₈	—	5	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1162	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1163	#117	—	2	1	no	—
1164	#117	—	5	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	5	1	no	—
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	10	1	no	—
1171	#117	—	10	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	#117	—	10	1	no	—
1184	#117	—	10	1	no	—
1185	#117	—	10	1	no	—
1186	#117	—	10	1	no	—
1187	#117	C₂²×D₅	1	1	yes	characteristic
1188	C₂×C₄⋊C₄	—	5	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	10	1	no	—
1192	C₂×C₄⋊C₄	—	10	1	no	—
1193	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	—	2	1	no	—
1195	C₂×C₂²⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	10	1	no	—
1197	C₂×C₂²⋊C₄	—	10	1	no	—
1198	C₂×C₂²⋊C₄	—	10	1	no	—
1199	C₂×C₂²⋊C₄	—	10	1	no	—
1200	C₂×C₄²	—	5	1	no	—
1201	C₂×C₄²	—	5	1	no	—
1202	C₂×C₄²	—	5	1	no	—
1203	C₂×C₄²	—	10	1	no	—
1204	C₂×C₄²	—	10	1	no	—
1205	C₂×C₄²	—	10	1	no	—
1206	C₂×C₄²	—	10	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	—	5	1	no	—
1210	#107	—	5	1	no	—
1211	#107	—	5	1	no	—
1212	#107	—	5	1	no	—
1213	#107	—	5	1	no	—
1214	#107	C₂²×D₅	1	1	yes	characteristic
1215	#106	—	5	1	no	—
1216	#106	—	5	1	no	—
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	—	5	1	no	—
1220	#106	—	5	1	no	—
1221	#106	C₂²×D₅	1	1	yes	characteristic
1222	#106	C₂²×D₅	1	1	yes	characteristic
1223	C₄⋊C₈	—	5	1	no	—
1224	C₄⋊C₈	—	5	1	no	—
1225	C₄⋊C₈	—	5	1	no	—
1226	C₄⋊C₈	—	5	1	no	—
1227	C₄⋊C₈	—	5	1	no	—
1228	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	C₂²×D₅	1	1	yes	characteristic
1242	#103	C₂²×D₅	1	1	yes	characteristic
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	C₂²×D₅	1	1	yes	characteristic
1256	#102	C₂²×D₅	1	1	yes	characteristic
1257	#102	C₂²×D₅	1	1	yes	characteristic
1258	#102	C₂²×D₅	1	1	yes	characteristic
1259	#102	C₂²×D₅	1	1	yes	characteristic
1260	#102	C₂²×D₅	1	1	yes	characteristic
1261	C₂²⋊C₈	—	5	1	no	—
1262	C₂²⋊C₈	—	5	1	no	—
1263	C₂²⋊C₈	—	5	1	no	—
1264	C₂²⋊C₈	—	5	1	no	—
1265	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1266	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	—	5	1	no	—
1270	C₄×C₈	—	5	1	no	—
1271	C₄×C₈	—	5	1	no	—
1272	C₄×C₈	—	5	1	no	—
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	—	5	1	no	—
1276	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1277	C₂²×C₅	—	2	1	no	—
1278	C₂²×C₅	—	2	1	no	—
1279	C₂²×C₅	—	2	1	no	—
1280	C₂²×C₅	—	2	2	no	—
1281	C₂²×C₅	—	2	1	no	—
1282	C₂²×C₅	—	2	1	no	—
1283	C₂²×C₅	—	4	1	no	—
1284	C₂²×C₅	—	4	1	no	—
1285	C₂²×C₅	—	4	1	no	—
1286	C₂²×C₅	—	4	1	no	—
1287	C₂²×C₅	—	4	1	no	—
1288	C₂²×C₅	—	8	4	no	—
1289	C₂²×C₅	C₂×#135	1	2	yes	—
1290	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1291	C₂×D₅	—	2	1	no	—
1292	C₂×D₅	—	2	1	no	—
1293	C₂×D₅	—	2	2	no	—
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	4	1	no	—
1296	C₂×D₅	—	4	1	no	—
1297	C₂×D₅	—	4	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	8	4	no	—
1301	C₄×C₅	—	2	1	no	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	4	1	no	—
1306	C₄×C₅	—	4	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	—	4	1	no	—
1311	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1312	C₄×C₅	#585	1	1	yes	characteristic
1313	Dic₅	—	2	1	no	—
1314	Dic₅	—	2	1	no	—
1315	Dic₅	—	2	1	no	—
1316	Dic₅	—	2	1	no	—
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	4	1	no	—
1319	Dic₅	—	4	1	no	—
1320	Dic₅	—	4	1	no	—
1321	Dic₅	—	4	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	C₂×#135	1	2	yes	—
1325	Dic₅	C₂×#135	1	2	yes	—
1326	C₂⁴	—	2	1	no	—
1327	C₂⁴	—	10	1	no	—
1328	#41	—	2	2	no	—
1329	#41	—	4	1	no	—
1330	#41	—	10	2	no	—
1331	#41	—	10	4	no	—
1332	#41	—	10	2	no	—
1333	#41	—	10	2	no	—
1334	#41	—	20	1	no	—
1335	#41	—	20	1	no	—
1336	#41	—	20	1	no	—
1337	C₂×Q₈	—	5	1	no	—
1338	C₂×Q₈	—	5	1	no	—
1339	C₂×Q₈	—	5	1	no	—
1340	C₂×Q₈	—	10	1	no	—
1341	C₂×Q₈	—	10	1	no	—
1342	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1343	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1344	C₂×D₄	—	2	2	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	4	1	no	—
1349	C₂×D₄	—	5	1	no	—
1350	C₂×D₄	—	5	1	no	—
1351	C₂×D₄	—	5	1	no	—
1352	C₂×D₄	—	5	1	no	—
1353	C₂×D₄	—	10	2	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	10	1	no	—
1358	C₂×D₄	—	10	1	no	—
1359	C₂×D₄	—	10	1	no	—
1360	C₂×D₄	—	10	1	no	—
1361	C₂×D₄	—	20	1	no	—
1362	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1363	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1364	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	5	1	no	—
1371	C₂²×C₄	—	5	1	no	—
1372	C₂²×C₄	—	5	1	no	—
1373	C₂²×C₄	—	5	1	no	—
1374	C₂²×C₄	—	5	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	20	4	no	—
1391	C₂²×C₄	—	20	4	no	—
1392	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1393	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	10	2	no	—
1396	Q₁₆	—	10	2	no	—
1397	Q₁₆	—	20	1	no	—
1398	SD₁₆	—	2	2	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	10	2	no	—
1401	SD₁₆	—	10	2	no	—
1402	SD₁₆	—	10	2	no	—
1403	SD₁₆	—	20	1	no	—
1404	SD₁₆	—	20	1	no	—
1405	SD₁₆	—	20	1	no	—
1406	D₈	—	5	4	no	—
1407	D₈	—	10	2	no	—
1408	D₈	—	10	2	no	—
1409	D₈	—	10	2	no	—
1410	C₂×C₈	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	5	1	no	—
1413	C₂×C₈	—	5	1	no	—
1414	C₂×C₈	—	5	1	no	—
1415	C₂×C₈	—	5	1	no	—
1416	C₂×C₈	—	10	2	no	—
1417	C₂×C₈	—	10	2	no	—
1418	C₂×C₈	—	10	2	no	—
1419	C₂×C₈	—	20	1	no	—
1420	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1421	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1422	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1423	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	5	1	no	—
1432	C₄⋊C₄	—	5	1	no	—
1433	C₄⋊C₄	—	5	1	no	—
1434	C₄⋊C₄	—	5	1	no	—
1435	C₄⋊C₄	—	5	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	5	1	no	—
1438	C₄⋊C₄	—	5	1	no	—
1439	C₄⋊C₄	—	5	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1466	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1468	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1469	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	5	1	no	—
1479	C₂²⋊C₄	—	5	1	no	—
1480	C₂²⋊C₄	—	5	1	no	—
1481	C₂²⋊C₄	—	5	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1511	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	5	1	no	—
1515	C₄²	—	5	1	no	—
1516	C₄²	—	5	1	no	—
1517	C₄²	—	5	1	no	—
1518	C₄²	—	5	1	no	—
1519	C₄²	—	5	1	no	—
1520	C₄²	—	5	1	no	—
1521	C₄²	—	5	1	no	—
1522	C₄²	—	5	1	no	—
1523	C₄²	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	—	10	1	no	—
1528	C₄²	—	10	1	no	—
1529	C₄²	—	10	1	no	—
1530	C₄²	—	10	1	no	—
1531	C₄²	—	10	1	no	—
1532	C₄²	—	10	1	no	—
1533	C₄²	C₂³×D₅	1	1	yes	characteristic
1534	C₂×C₅	—	2	2	no	—
1535	C₂×C₅	—	4	1	no	—
1536	C₂×C₅	—	4	2	no	—
1537	C₂×C₅	—	8	1	no	—
1538	C₂×C₅	D₄×#41	1	1	yes	characteristic
1539	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1540	C₂×C₅	#3584	1	1	yes	characteristic
1541	D₅	—	4	1	no	—
1542	D₅	—	4	2	no	—
1543	D₅	—	8	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	4	2	no	—
1547	C₂³	—	4	2	no	—
1548	C₂³	—	5	1	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	—	10	1	no	—
1551	C₂³	—	10	1	no	—
1552	C₂³	—	20	2	no	—
1553	C₂³	—	20	2	no	—
1554	C₂³	—	40	1	no	—
1555	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1556	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	10	2	no	—
1562	Q₈	—	10	1	no	—
1563	Q₈	—	10	1	no	—
1564	Q₈	—	10	1	no	—
1565	Q₈	—	10	1	no	—
1566	Q₈	—	40	1	no	—
1567	Q₈	—	40	1	no	—
1568	D₄	—	2	2	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	4	2	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	5	2	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	10	2	no	—
1577	D₄	—	10	2	no	—
1578	D₄	—	10	1	no	—
1579	D₄	—	10	1	no	—
1580	D₄	—	10	1	no	—
1581	D₄	—	20	2	no	—
1582	D₄	—	20	2	no	—
1583	D₄	—	20	2	no	—
1584	D₄	—	20	2	no	—
1585	D₄	—	40	1	no	—
1586	D₄	—	40	1	no	—
1587	D₄	—	40	1	no	—
1588	D₄	D₅×#41	1	2	yes	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	4	2	no	—
1600	C₂×C₄	—	4	2	no	—
1601	C₂×C₄	—	5	4	no	—
1602	C₂×C₄	—	5	1	no	—
1603	C₂×C₄	—	5	1	no	—
1604	C₂×C₄	—	5	1	no	—
1605	C₂×C₄	—	5	1	no	—
1606	C₂×C₄	—	5	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	10	2	no	—
1611	C₂×C₄	—	10	2	no	—
1612	C₂×C₄	—	10	1	no	—
1613	C₂×C₄	—	10	1	no	—
1614	C₂×C₄	—	10	1	no	—
1615	C₂×C₄	—	10	1	no	—
1616	C₂×C₄	—	10	1	no	—
1617	C₂×C₄	—	10	1	no	—
1618	C₂×C₄	—	10	1	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	20	1	no	—
1621	C₂×C₄	—	20	2	no	—
1622	C₂×C₄	—	20	2	no	—
1623	C₂×C₄	—	20	2	no	—
1624	C₂×C₄	—	20	2	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	20	2	no	—
1627	C₂×C₄	—	20	2	no	—
1628	C₂×C₄	—	20	2	no	—
1629	C₂×C₄	—	20	2	no	—
1630	C₂×C₄	—	20	2	no	—
1631	C₂×C₄	—	20	1	no	—
1632	C₂×C₄	—	20	1	no	—
1633	C₂×C₄	—	20	2	no	—
1634	C₂×C₄	—	20	2	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	—	40	1	no	—
1637	C₂×C₄	—	40	1	no	—
1638	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1639	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1641	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1642	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	5	2	no	—
1648	C₈	—	10	1	no	—
1649	C₈	—	10	1	no	—
1650	C₈	—	10	1	no	—
1651	C₅	#61427	1	1	yes	characteristic, complemented, Sylow
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	2	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	8	4	no	—
1664	C₂²	—	10	1	no	—
1665	C₂²	—	10	2	no	—
1666	C₂²	—	10	1	no	—
1667	C₂²	—	10	1	no	—
1668	C₂²	—	20	1	no	—
1669	C₂²	—	20	1	no	—
1670	C₂²	—	20	1	no	—
1671	C₂²	—	20	1	no	—
1672	C₂²	—	20	1	no	—
1673	C₂²	—	40	4	no	—
1674	C₂²	D₅×#135	1	2	yes	—
1675	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	5	2	no	—
1687	C₄	—	5	2	no	—
1688	C₄	—	10	1	no	—
1689	C₄	—	10	1	no	—
1690	C₄	—	10	1	no	—
1691	C₄	—	10	1	no	—
1692	C₄	—	10	1	no	—
1693	C₄	—	20	1	no	—
1694	C₄	—	20	1	no	—
1695	C₄	—	20	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	—	20	1	no	—
1698	C₄	—	20	1	no	—
1699	C₄	C₂×D₅×#41	1	1	yes	characteristic
1700	C₄	#66285	1	1	yes	characteristic
1701	C₂	—	2	2	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	2	no	—
1704	C₂	—	8	1	no	—
1705	C₂	—	20	1	no	—
1706	C₂	—	20	2	no	—
1707	C₂	—	40	1	no	—
1708	C₂	#10618527	1	1	yes	characteristic
1709	C₂	C₂×D₅×#135	1	1	yes	characteristic
1710	C₂	#10619107	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×#3296	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3296	D₅
hypocenter	C₅	#61427
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3296

Complements

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

N	H ≅ G/N	type
1. #10618727	C₂	semidirect
2. #10618528	C₂	semidirect
3. C₅×#3296	C₂	semidirect
4. #10615321	C₂	semidirect
5. #10615236	C₂	semidirect
6. #10613363	C₂	semidirect
7. #10613359	C₂	semidirect
8. #10613167	C₂	semidirect
9. #10613143	C₂	semidirect
10. #10613120	C₂	semidirect
11. #10613079	C₂	semidirect
12. #10612887	C₂	semidirect
13. #10612871	C₂	semidirect
14. #10612506	C₂	semidirect
15. #10612472	C₂	semidirect
16. #10612413	C₂	semidirect
17. #10612364	C₂	semidirect
18. #10612319	C₂	semidirect
19. #10612299	C₂	semidirect
20. #10612000	C₂	semidirect
21. #10611943	C₂	semidirect
22. #10611899	C₂	semidirect
23. #10611863	C₂	semidirect
24. C₄×#4062	C₂	semidirect
25. #10611351	C₂	semidirect
26. #10611171	C₂	semidirect
27. C₈×#711	C₂	semidirect
28. #10610581	C₂	semidirect
29. #10610549	C₂	semidirect
30. #10610490	C₂	semidirect
31. C₂×#65045	C₂	semidirect
34. #41×Dic₅	C₂²	semidirect
35. #66158	C₂²	semidirect
45. #66025	C₂²	semidirect
46. #66024	C₂²	semidirect
47. #66014	C₂²	semidirect
48. #66005	C₂²	semidirect
54. #65965	C₂²	semidirect
56. #65958	C₂²	semidirect
59. #65950	C₂²	semidirect
62. #65934	C₂²	semidirect
65. C₄×#713	C₂²	semidirect
66. #65902	C₂²	semidirect
69. #65873	C₂²	semidirect
71. C₄×#711	C₂²	semidirect
72. #65866	C₂²	semidirect
74. #65856	C₂²	semidirect
80. C₅×#488	C₂²	semidirect
82. C₅×#482	C₂²	semidirect
83. C₅×#478	C₂²	semidirect
85. C₅×#465	C₂²	semidirect
86. C₅×#464	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
89. C₄×C₅×SD₁₆	C₂²	semidirect
91. C₅×#416	C₂²	semidirect
95. #65476	C₂²	semidirect
96. #65474	C₂²	semidirect
97. Q₁₆×Dic₅	C₂²	semidirect
98. #65470	C₂²	semidirect
102. #65451	C₂²	semidirect
103. #65451	C₂²	semidirect
104. SD₁₆×Dic₅	C₂²	semidirect
105. SD₁₆×Dic₅	C₂²	semidirect
107. #65403	C₂²	semidirect
108. #65402	C₂²	semidirect
111. C₈×C₂²⋊D₅	C₂²	semidirect
113. C₂×C₈×Dic₅	C₂²	semidirect
114. #65353	C₂²	semidirect
115. #65352	C₂²	semidirect
120. #65340	C₂²	semidirect
122. #65334	C₂²	semidirect
126. C₄×#689	C₂²	semidirect
127. #65311	C₂²	semidirect
131. #65287	C₂²	semidirect
132. #65285	C₂²	semidirect
135. #65180	C₂²	semidirect
136. #65174	C₂²	semidirect
137. #65163	C₂²	semidirect
138. #65162	C₂²	semidirect
139. #65159	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65156	C₂²	semidirect
142. #65149	C₂²	semidirect
143. #65147	C₂²	semidirect
144. #65146	C₂²	semidirect
145. #65141	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65136	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65122	C₂²	semidirect
150. #65119	C₂²	semidirect
151. #65107	C₂²	semidirect
152. #65107	C₂²	semidirect
153. #65104	C₂²	semidirect
154. #65102	C₂²	semidirect
155. #65096	C₂²	semidirect
156. #65093	C₂²	semidirect
157. #65089	C₂²	semidirect
158. #65088	C₂²	semidirect
159. #65081	C₂²	semidirect
160. #65081	C₂²	semidirect
161. #65079	C₂²	semidirect
162. #65079	C₂²	semidirect
163. #65079	C₂²	semidirect
164. #65077	C₂²	semidirect
165. #65077	C₂²	semidirect
166. #65077	C₂²	semidirect
168. #65073	C₂²	semidirect
169. #65072	C₂²	semidirect
171. #65067	C₂²	semidirect
173. #65061	C₂²	semidirect
174. #65057	C₂²	semidirect
175. #65056	C₂²	semidirect
176. #65055	C₂²	semidirect
177. #65050	C₂²	semidirect
178. #65050	C₂²	semidirect
179. #65047	C₂²	semidirect
180. #65047	C₂²	semidirect
181. #65047	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65022	C₂²	semidirect
195. #65014	C₂²	semidirect
198. #65007	C₂²	semidirect
199. #64986	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. C₄×C₈×D₅	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
496. #3296	D₅	semidirect
638. #686	#41	semidirect
778. #488	C₂×D₅	semidirect
792. #482	C₂×D₅	semidirect
800. #478	C₂×D₅	semidirect
816. #465	C₂×D₅	semidirect
820. #464	C₂×D₅	semidirect
832. #452	C₂×D₅	semidirect
860. C₄×SD₁₆	C₂×D₅	semidirect
886. #416	C₂×D₅	semidirect
957. C₂×Dic₅	#135	semidirect
1651. C₅	#61427	semidirect

Maximal subgroups

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

subgroup	index
#10618727	2
#10618528	2
C₅×#3296	2
#10615321	2
#10615236	2
#10613363	2
#10613359	2
#10613167	2
#10613143	2
#10613120	2
#10613079	2
#10612887	2
#10612871	2
#10612506	2
#10612472	2
#10612413	2
#10612364	2
#10612319	2
#10612299	2
#10612000	2
#10611943	2
#10611899	2
#10611863	2
C₄×#4062	2
#10611351	2
#10611171	2
C₈×#711	2
#10610581	2
#10610549	2
#10610490	2
C₂×#65045	2
#61427	5