Subgroups — #12969759

Order 1280.

1874 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618060	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618024	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3183	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614865	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614865	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613650	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613638	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613552	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613540	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613368	C₂	1	1	yes	maximal, characteristic, complemented
11	D₅×#488	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613362	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613362	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612638	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612622	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612598	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612582	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612541	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612540	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612520	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612519	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611597	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611592	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611561	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611556	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611507	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611506	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611501	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611500	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610265	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4053	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#529	C₂²	1	1	yes	characteristic
33	C₅×#529	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×#4061	C₂²	1	1	yes	characteristic
36	C₂×#4060	C₂²	1	1	yes	characteristic
37	C₂×#4057	C₂²	1	1	yes	characteristic
38	C₂×#4053	C₂²	1	1	yes	characteristic
39	C₂×#4053	C₂²	1	1	yes	characteristic
40	#66043	—	2	1	no	—
41	#66042	—	2	1	no	—
42	#66039	—	2	1	no	—
43	#66036	—	2	1	no	—
44	#66025	C₂²	1	1	yes	characteristic
45	#66025	C₂²	1	1	yes	characteristic, complemented
46	#66022	C₂²	1	1	yes	characteristic
47	D₅×#125	C₂²	1	1	yes	characteristic
48	#66014	C₂²	1	1	yes	characteristic
49	#66014	C₂²	1	1	yes	characteristic, complemented
50	D₅×#124	C₂²	1	1	yes	characteristic
51	#66002	C₂²	1	1	yes	characteristic
52	#65998	—	2	1	no	—
53	#65995	—	2	1	no	—
54	#65995	—	2	1	no	—
55	#65993	—	2	1	no	—
56	#65977	C₂²	1	1	yes	characteristic
57	#65963	C₂²	1	1	yes	characteristic
58	#65962	C₂²	1	1	yes	characteristic
59	#65959	C₂²	1	1	yes	characteristic, complemented
60	#65953	C₂²	1	1	yes	characteristic, complemented
61	#65942	C₂²	1	1	yes	characteristic
62	#65941	C₂²	1	1	yes	characteristic
63	#65937	C₂²	1	1	yes	characteristic
64	#65917	C₂²	1	1	yes	characteristic, complemented
65	#65916	C₂²	1	1	yes	characteristic
66	#65908	C₂²	1	1	yes	characteristic
67	#65906	C₂²	1	1	yes	characteristic
68	#65896	C₂²	1	1	yes	characteristic, complemented
69	#65895	C₂²	1	1	yes	characteristic
70	#65893	—	2	1	no	—
71	#65892	—	2	1	no	—
72	#65890	—	2	1	no	—
73	#65880	C₂²	1	1	yes	characteristic
74	#65879	C₂²	1	1	yes	characteristic
75	#65874	—	2	1	no	—
76	#65867	—	2	1	no	—
77	#65865	—	2	1	no	—
78	#65864	—	2	1	no	—
79	#65861	—	2	1	no	—
80	#65813	C₂²	1	1	yes	characteristic
81	#65813	C₂²	1	1	yes	characteristic, complemented
82	C₄×#709	C₂²	1	1	yes	characteristic
83	C₅×#499	C₂²	1	1	yes	characteristic, complemented
84	C₅×#495	C₂²	1	1	yes	characteristic
85	C₅×#488	C₂²	1	1	yes	characteristic
86	C₅×#488	C₂²	1	1	yes	characteristic, complemented
87	C₅×#470	C₂²	1	1	yes	characteristic, complemented
88	C₅×#469	C₂²	1	1	yes	characteristic
89	C₅×#468	C₂²	1	1	yes	characteristic
90	C₅×#468	C₂²	1	1	yes	characteristic, complemented
91	C₅×#442	C₂²	1	1	yes	characteristic
92	C₅×#441	C₂²	1	1	yes	characteristic, complemented
93	C₅×#440	C₂²	1	1	yes	characteristic
94	C₅×#440	C₂²	1	1	yes	characteristic, complemented
95	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
96	#65479	C₂²	1	1	yes	characteristic
97	#65477	C₂²	1	1	yes	characteristic, complemented
98	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
99	#65465	C₂²	1	1	yes	characteristic
100	#65460	C₂²	1	1	yes	characteristic
101	#65460	C₂²	1	1	yes	characteristic, complemented
102	#65456	C₂²	1	1	yes	characteristic
103	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
104	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	#65446	C₂²	1	1	yes	characteristic
106	#65443	C₂²	1	1	yes	characteristic
107	D₈×Dic₅	C₂²	1	1	yes	characteristic
108	#65426	C₂²	1	1	yes	characteristic, complemented
109	#65424	C₂²	1	1	yes	characteristic
110	#65423	C₂²	1	1	yes	characteristic
111	#65423	C₂²	1	1	yes	characteristic, complemented
112	#65411	C₂²	1	1	yes	characteristic, complemented
113	#65411	C₂²	1	1	yes	characteristic, complemented
114	#65357	C₂²	1	1	yes	characteristic
115	#65357	C₂²	1	1	yes	characteristic, complemented
116	#65353	C₂²	1	1	yes	characteristic, complemented
117	#65353	C₂²	1	1	yes	characteristic, complemented
118	#65348	C₂²	1	1	yes	characteristic
119	#65348	C₂²	1	1	yes	characteristic
120	#65345	C₂²	1	1	yes	characteristic
121	#65345	C₂²	1	1	yes	characteristic, complemented
122	#65340	C₂²	1	1	yes	characteristic, complemented
123	#65340	C₂²	1	1	yes	characteristic, complemented
124	#65337	C₂²	1	1	yes	characteristic
125	#65337	C₂²	1	1	yes	characteristic, complemented
126	#65330	C₂²	1	1	yes	characteristic
127	#65330	C₂²	1	1	yes	characteristic, complemented
128	#65327	C₂²	1	1	yes	characteristic
129	#65327	C₂²	1	1	yes	characteristic
130	C₄×#689	C₂²	1	1	yes	characteristic, complemented
131	C₄×#689	C₂²	1	1	yes	characteristic, complemented
132	C₄×#688	C₂²	1	1	yes	characteristic
133	C₄×#688	C₂²	1	1	yes	characteristic, complemented
134	C₄×#687	C₂²	1	1	yes	characteristic
135	C₄×#687	C₂²	1	1	yes	characteristic, complemented
136	C₄×#686	C₂²	1	1	yes	characteristic
137	C₄×#686	C₂²	1	1	yes	characteristic
138	C₂×C₄×#168	C₂²	1	1	yes	characteristic, complemented
139	#65176	C₂²	1	1	yes	characteristic, complemented
140	#65172	C₂²	1	1	yes	characteristic
141	#65170	C₂²	1	1	yes	characteristic
142	#65170	C₂²	1	1	yes	characteristic
143	#65165	C₂²	1	1	yes	characteristic, complemented
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65162	C₂²	1	1	yes	characteristic, complemented
146	#65161	C₂²	1	1	yes	characteristic
147	#65153	C₂²	1	1	yes	characteristic
148	#65153	C₂²	1	1	yes	characteristic, complemented
149	#65150	C₂²	1	1	yes	characteristic
150	#65150	C₂²	1	1	yes	characteristic
151	#65145	C₂²	1	1	yes	characteristic, complemented
152	#65145	C₂²	1	1	yes	characteristic, complemented
153	#65141	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic
156	#65106	C₂²	1	1	yes	characteristic, complemented
157	#65105	C₂²	1	1	yes	characteristic, complemented
158	#65105	C₂²	1	1	yes	characteristic, complemented
159	#65101	C₂²	1	1	yes	characteristic
160	#65101	C₂²	1	1	yes	characteristic, complemented
161	#65093	C₂²	1	1	yes	characteristic
162	#65093	C₂²	1	1	yes	characteristic
163	D₅×#103	C₂²	1	1	yes	characteristic
164	D₅×#103	C₂²	1	1	yes	characteristic
165	#65089	C₂²	1	1	yes	characteristic
166	#65089	C₂²	1	1	yes	characteristic
167	#65081	C₂²	1	1	yes	characteristic, complemented
168	#65081	C₂²	1	1	yes	characteristic, complemented
169	#65078	C₂²	1	1	yes	characteristic, complemented
170	#65078	C₂²	1	1	yes	characteristic, complemented
171	#65074	C₂²	1	1	yes	characteristic
172	#65074	C₂²	1	1	yes	characteristic
173	#65071	C₂²	1	1	yes	characteristic
174	#65071	C₂²	1	1	yes	characteristic
175	#65069	C₂²	1	1	yes	characteristic
176	#65069	C₂²	1	1	yes	characteristic, complemented
177	#65061	C₂²	1	1	yes	characteristic
178	#65061	C₂²	1	1	yes	characteristic
179	D₅×#102	C₂²	1	1	yes	characteristic
180	D₅×#102	C₂²	1	1	yes	characteristic
181	#65057	C₂²	1	1	yes	characteristic
182	#65057	C₂²	1	1	yes	characteristic
183	#65049	C₂²	1	1	yes	characteristic, complemented
184	#65049	C₂²	1	1	yes	characteristic, complemented
185	#65046	C₂²	1	1	yes	characteristic
186	#65046	C₂²	1	1	yes	characteristic, complemented
187	#65005	C₂²	1	1	yes	characteristic, complemented
188	#65000	C₂²	1	1	yes	characteristic
189	#64999	C₂²	1	1	yes	characteristic
190	#64999	C₂²	1	1	yes	characteristic, complemented
191	#64997	C₂²	1	1	yes	characteristic
192	#64997	C₂²	1	1	yes	characteristic
193	#64997	C₂²	1	1	yes	characteristic, complemented
194	#64997	C₂²	1	1	yes	characteristic, complemented
195	#64986	C₂²	1	1	yes	characteristic
196	#64986	C₂²	1	1	yes	characteristic, complemented
197	#64985	C₂²	1	1	yes	characteristic
198	C₄×#676	C₂²	1	1	yes	characteristic
199	C₄×#676	C₂²	1	1	yes	characteristic, complemented
200	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
202	#64972	C₂²	1	1	yes	characteristic, complemented
203	#60724	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×#711	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×#709	C₂³	1	1	yes	characteristic
209	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
213	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
215	C₅×#126	—	2	1	no	—
216	C₅×#126	—	2	1	no	—
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#124	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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×#121	C₂³	1	1	yes	characteristic
226	C₅×#121	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	—	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	C₅×#117	—	2	1	no	—
234	C₅×#117	—	2	1	no	—
235	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
236	#4093	C₂³	1	1	yes	characteristic
237	#4092	C₂³	1	1	yes	characteristic
238	#4092	C₂³	1	1	yes	characteristic
239	Q₈×Dic₅	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	C₂³	1	1	yes	characteristic
241	#4090	C₂³	1	1	yes	characteristic
242	C₂×#689	C₂³	1	1	yes	characteristic
243	C₂×#689	C₂³	1	1	yes	characteristic
244	C₂×#688	C₂³	1	1	yes	characteristic
245	C₂×#688	C₂³	1	1	yes	characteristic
246	#4086	—	2	1	no	—
247	#4086	C₂³	1	1	yes	characteristic
248	#4085	—	2	1	no	—
249	#4085	—	2	1	no	—
250	#4084	—	2	1	no	—
251	#4084	—	2	1	no	—
252	#4084	C₂³	1	1	yes	characteristic
253	#4084	C₂³	1	1	yes	characteristic
254	#4083	—	2	1	no	—
255	#4082	—	2	1	no	—
256	#4082	C₂³	1	1	yes	characteristic
257	#4081	—	2	1	no	—
258	D₄×Dic₅	C₂³	1	1	yes	characteristic
259	D₄×Dic₅	C₂³	1	1	yes	characteristic
260	C₂×#687	C₂³	1	1	yes	characteristic
261	C₂×#687	C₂³	1	1	yes	characteristic
262	C₂×#686	C₂³	1	1	yes	characteristic
263	C₂×#686	C₂³	1	1	yes	characteristic
264	#4076	—	2	1	no	—
265	#4076	C₂³	1	1	yes	characteristic
266	#4076	C₂³	1	1	yes	characteristic
267	#4075	—	2	1	no	—
268	#4075	—	2	1	no	—
269	#4075	—	2	1	no	—
270	#4075	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	—	2	1	no	—
273	C₄×C₂²⋊D₅	—	2	1	no	—
274	C₄×C₂²⋊D₅	—	2	1	no	—
275	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
276	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
277	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
278	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
279	C₂×#685	—	2	1	no	—
280	#4072	C₂³	1	1	yes	characteristic
281	#4070	—	2	1	no	—
282	#4070	C₂³	1	1	yes	characteristic
283	#4070	C₂³	1	1	yes	characteristic
284	C₂×#683	—	2	1	no	—
285	C₂²×#168	C₂³	1	1	yes	characteristic
286	C₂²×#168	C₂³	1	1	yes	characteristic
287	#4064	—	2	4	no	—
288	#4061	—	2	4	no	—
289	#4060	—	2	4	no	—
290	#4057	—	2	4	no	—
291	#4053	—	2	4	no	—
292	#4053	—	2	4	no	—
293	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
294	C₂×D₄₀	C₂³	1	1	yes	characteristic
295	C₂×#677	C₂³	1	1	yes	characteristic
296	C₂×#677	C₂³	1	1	yes	characteristic
297	C₂×#676	C₂³	1	1	yes	characteristic
298	C₂×#676	C₂³	1	1	yes	characteristic
299	C₂×#676	C₂³	1	1	yes	characteristic
300	C₂×#676	C₂³	1	1	yes	characteristic
301	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4044	—	2	1	no	—
308	#4044	—	2	1	no	—
309	#4043	—	2	1	no	—
310	#4043	C₂³	1	1	yes	characteristic
311	#4043	C₂³	1	1	yes	characteristic
312	#4042	—	2	1	no	—
313	#4042	—	2	1	no	—
314	#4042	—	2	1	no	—
315	#4042	—	2	1	no	—
316	#4041	—	2	1	no	—
317	#4041	C₂³	1	1	yes	characteristic
318	#4041	C₂³	1	1	yes	characteristic
319	#4040	—	2	1	no	—
320	#4040	—	2	1	no	—
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4039	—	2	1	no	—
324	#4039	—	2	1	no	—
325	#4039	—	2	1	no	—
326	#4039	C₂³	1	1	yes	characteristic
327	#4039	C₂³	1	1	yes	characteristic
328	#4038	—	2	1	no	—
329	#4038	—	2	1	no	—
330	#4038	—	2	1	no	—
331	#4038	C₂³	1	1	yes	characteristic
332	#4038	C₂³	1	1	yes	characteristic
333	D₅×C₄⋊C₄	—	2	1	no	—
334	D₅×C₄⋊C₄	—	2	1	no	—
335	D₅×C₄⋊C₄	—	2	1	no	—
336	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	#4036	—	2	1	no	—
339	#4036	C₂³	1	1	yes	characteristic
340	#4036	C₂³	1	1	yes	characteristic
341	#4035	—	2	1	no	—
342	#4035	—	2	1	no	—
343	#4035	—	2	1	no	—
344	#4035	—	2	1	no	—
345	#4034	—	2	1	no	—
346	#4034	C₂³	1	1	yes	characteristic
347	#4034	C₂³	1	1	yes	characteristic
348	#4033	—	2	1	no	—
349	#4033	—	2	1	no	—
350	#4033	—	2	1	no	—
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4032	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4031	—	2	1	no	—
358	#4031	—	2	1	no	—
359	#4031	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4030	—	2	1	no	—
362	#4030	—	2	1	no	—
363	#4030	—	2	1	no	—
364	#4030	—	2	1	no	—
365	#4030	—	2	1	no	—
366	#4029	—	2	1	no	—
367	#4029	—	2	1	no	—
368	#4029	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4028	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	#4027	—	2	1	no	—
378	#4027	—	2	1	no	—
379	D₅×C₂²⋊C₄	—	2	1	no	—
380	D₅×C₂²⋊C₄	—	2	1	no	—
381	D₅×C₂²⋊C₄	—	2	1	no	—
382	#4025	—	2	1	no	—
383	#4025	—	2	1	no	—
384	#4025	—	2	1	no	—
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4024	—	2	1	no	—
389	#4024	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4023	—	2	1	no	—
393	#4022	—	2	1	no	—
394	#4022	—	2	1	no	—
395	#4022	—	2	1	no	—
396	#4022	—	2	1	no	—
397	#4021	—	2	1	no	—
398	#4021	C₂³	1	1	yes	characteristic
399	#4021	C₂³	1	1	yes	characteristic
400	C₄×D₂₀	—	2	1	no	—
401	C₄×D₂₀	D₄	1	1	yes	characteristic
402	C₄×D₂₀	D₄	1	1	yes	characteristic
403	C₄×D₂₀	C₂³	1	1	yes	characteristic
404	C₄×D₂₀	C₂³	1	1	yes	characteristic
405	#4018	—	2	1	no	—
406	#4018	—	2	1	no	—
407	#4018	—	2	1	no	—
408	#4018	—	2	1	no	—
409	#4018	C₂³	1	1	yes	characteristic
410	#4018	C₂³	1	1	yes	characteristic
411	C₄²×D₅	C₂³	1	1	yes	characteristic
412	C₄²×D₅	C₂³	1	1	yes	characteristic
413	#4016	—	2	1	no	—
414	#4016	C₂³	1	1	yes	characteristic
415	#4016	C₂³	1	1	yes	characteristic
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	D₄	1	1	yes	characteristic
418	C₄×Dic₁₀	D₄	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#107	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	C₅×#97	C₂³	1	1	yes	characteristic
435	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3953	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3949	C₂³	1	1	yes	characteristic
452	#3949	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3947	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	C₈×Dic₅	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	#3942	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	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	#3939	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	C₄×#168	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3512	—	5	1	no	—
486	#3510	—	5	1	no	—
487	#3183	—	5	1	no	—
488	#3183	—	5	1	no	—
489	#3183	—	5	1	no	—
490	#3183	D₅	1	1	yes	characteristic, complemented
491	#3179	—	5	1	no	—
492	#3179	—	5	1	no	—
493	#3179	—	5	1	no	—
494	#3179	—	5	1	no	—
495	#3178	—	5	1	no	—
496	#3178	—	5	1	no	—
497	#3178	—	5	1	no	—
498	#3178	—	5	1	no	—
499	#3168	—	5	1	no	—
500	#3168	—	5	1	no	—
501	#3168	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3166	—	5	1	no	—
504	#3153	—	5	1	no	—
505	#3131	—	5	1	no	—
506	C₂×#488	—	5	1	no	—
507	#3063	—	5	1	no	—
508	#3063	—	5	1	no	—
509	#3062	—	5	1	no	—
510	#3062	—	5	1	no	—
511	#2947	—	5	1	no	—
512	#2947	—	5	1	no	—
513	#2946	—	5	1	no	—
514	#2946	—	5	1	no	—
515	C₄×#131	—	5	1	no	—
516	C₂³×D₅	—	2	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	1	no	—
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
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	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	#713	—	2	2	no	—
542	#713	—	2	2	no	—
543	Q₈×D₅	—	2	2	no	—
544	Q₈×D₅	—	2	2	no	—
545	#711	—	2	2	no	—
546	#711	—	2	2	no	—
547	D₄×D₅	—	2	2	no	—
548	D₄×D₅	—	2	2	no	—
549	#709	—	2	2	no	—
550	#709	—	2	2	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
577	C₅×Q₁₆	—	2	2	no	—
578	C₅×SD₁₆	—	2	2	no	—
579	C₅×SD₁₆	—	2	2	no	—
580	C₅×D₈	—	2	2	no	—
581	C₅×M₁₆	—	2	2	no	—
582	C₅×M₁₆	—	2	2	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	—	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	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	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	C₄²×C₅	—	2	1	no	—
610	C₄²×C₅	—	2	1	no	—
611	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
612	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
613	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
624	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	#689	—	2	2	no	—
626	#689	—	2	2	no	—
627	#688	—	2	2	no	—
628	#688	—	2	2	no	—
629	#687	—	2	2	no	—
630	#687	—	2	2	no	—
631	#686	—	2	2	no	—
632	#686	—	2	2	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	—	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	C₂×D₄	1	1	yes	characteristic
654	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
692	#683	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	C₂×#168	—	2	2	no	—
708	C₂×#168	—	2	2	no	—
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	Dic₂₀	—	2	2	no	—
714	D₄₀	—	2	2	no	—
715	#677	—	2	2	no	—
716	#677	—	2	2	no	—
717	#676	—	2	2	no	—
718	#676	—	2	2	no	—
719	#676	#41	1	4	yes	—
720	#676	#41	1	4	yes	—
721	C₈×D₅	—	2	2	no	—
722	C₈×D₅	—	2	2	no	—
723	C₈×D₅	—	2	2	no	—
724	C₈×D₅	—	2	2	no	—
725	C₂×#137	—	5	1	no	—
726	C₂×#137	—	5	1	no	—
727	C₂×AGL(1,ℤ/8)	—	5	1	no	—
728	C₂×AGL(1,ℤ/8)	—	5	1	no	—
729	C₂×#131	—	5	1	no	—
730	C₂×#131	—	5	1	no	—
731	#559	—	10	1	no	—
732	#559	—	10	1	no	—
733	#556	—	10	1	no	—
734	#556	—	10	1	no	—
735	#553	—	10	1	no	—
736	#553	—	10	1	no	—
737	#553	—	10	1	no	—
738	#553	—	10	1	no	—
739	#553	—	10	1	no	—
740	#553	—	10	1	no	—
741	#552	—	10	1	no	—
742	#552	—	10	1	no	—
743	#551	—	10	1	no	—
744	#551	—	10	1	no	—
745	#551	—	10	1	no	—
746	#551	—	10	1	no	—
747	#542	—	5	1	no	—
748	#542	—	5	1	no	—
749	#542	—	5	1	no	—
750	#542	—	5	1	no	—
751	#541	—	5	1	no	—
752	#541	—	5	1	no	—
753	#540	—	5	1	no	—
754	#540	—	5	1	no	—
755	#537	—	5	1	no	—
756	#537	—	5	1	no	—
757	#536	—	5	1	no	—
758	#535	—	5	1	no	—
759	#533	—	5	1	no	—
760	#532	—	5	1	no	—
761	#529	—	5	1	no	—
762	#529	—	5	1	no	—
763	#529	—	5	1	no	—
764	#529	—	5	1	no	—
765	#529	—	5	1	no	—
766	#529	—	5	1	no	—
767	#529	C₂×D₅	1	1	yes	characteristic
768	#529	C₂×D₅	1	1	yes	characteristic, complemented
769	C₂×#125	—	5	1	no	—
770	C₂×#124	—	5	1	no	—
771	#520	—	5	1	no	—
772	#520	—	5	1	no	—
773	#519	—	5	1	no	—
774	#518	—	5	1	no	—
775	C₄×#41	—	5	1	no	—
776	#501	—	5	1	no	—
777	#501	—	5	1	no	—
778	#501	—	5	1	no	—
779	#501	—	5	1	no	—
780	#499	—	5	1	no	—
781	#499	—	5	1	no	—
782	#499	—	5	1	no	—
783	#499	C₂×D₅	1	1	yes	characteristic, complemented
784	#497	—	5	1	no	—
785	#497	—	5	1	no	—
786	#496	—	5	1	no	—
787	#496	—	5	1	no	—
788	#495	—	5	1	no	—
789	#495	—	5	1	no	—
790	#495	—	5	1	no	—
791	#495	C₂×D₅	1	1	yes	characteristic
792	#488	—	5	1	no	—
793	#488	—	5	1	no	—
794	#488	—	5	1	no	—
795	#488	—	5	1	no	—
796	#488	—	5	1	no	—
797	#488	—	5	1	no	—
798	#488	—	5	1	no	—
799	#488	—	5	1	no	—
800	#488	—	5	1	no	—
801	#488	—	5	1	no	—
802	#488	C₂×D₅	1	1	yes	characteristic
803	#488	C₂×D₅	1	1	yes	characteristic, complemented
804	#487	—	5	1	no	—
805	#487	—	5	1	no	—
806	#486	—	5	1	no	—
807	#486	—	5	1	no	—
808	#470	—	5	1	no	—
809	#470	—	5	1	no	—
810	#470	—	5	1	no	—
811	#470	C₂×D₅	1	1	yes	characteristic, complemented
812	#469	—	5	1	no	—
813	#469	—	5	1	no	—
814	#469	—	5	1	no	—
815	#469	C₂×D₅	1	1	yes	characteristic
816	#468	—	5	1	no	—
817	#468	—	5	1	no	—
818	#468	—	5	1	no	—
819	#468	—	5	1	no	—
820	#468	—	5	1	no	—
821	#468	—	5	1	no	—
822	#468	C₂×D₅	1	1	yes	characteristic
823	#468	C₂×D₅	1	1	yes	characteristic, complemented
824	#467	—	5	1	no	—
825	#467	—	5	1	no	—
826	#467	—	5	1	no	—
827	#467	—	5	1	no	—
828	#466	—	5	1	no	—
829	#466	—	5	1	no	—
830	#466	—	5	1	no	—
831	#466	—	5	1	no	—
832	#465	—	5	1	no	—
833	#465	—	5	1	no	—
834	#465	—	5	1	no	—
835	#465	—	5	1	no	—
836	#465	—	5	1	no	—
837	#465	—	5	1	no	—
838	#465	—	5	1	no	—
839	#465	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	C₂×D₅	1	1	yes	characteristic
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#441	C₂×D₅	1	1	yes	characteristic, complemented
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	C₂×D₅	1	1	yes	characteristic
855	#440	C₂×D₅	1	1	yes	characteristic, complemented
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×D₈	—	5	1	no	—
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	C₄×D₈	—	5	1	no	—
872	#428	—	5	1	no	—
873	#428	—	5	1	no	—
874	#428	—	5	1	no	—
875	#428	—	5	1	no	—
876	#416	—	5	1	no	—
877	#416	—	5	1	no	—
878	#416	—	5	1	no	—
879	#416	—	5	1	no	—
880	C₂×#103	—	5	1	no	—
881	C₂×#103	—	5	1	no	—
882	C₂×#102	—	5	1	no	—
883	C₂×#102	—	5	1	no	—
884	#405	—	5	1	no	—
885	#405	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	#405	—	5	1	no	—
889	#405	—	5	1	no	—
890	C₄×M₁₆	—	5	1	no	—
891	C₄×M₁₆	—	5	1	no	—
892	C₄×M₁₆	C₂×D₅	1	1	yes	characteristic, complemented
893	C₂×C₄×C₈	—	5	1	no	—
894	C₂×C₄×C₈	—	5	1	no	—
895	C₂×C₄×C₈	—	5	1	no	—
896	C₂³×C₅	—	2	1	no	—
897	C₂³×C₅	—	2	1	no	—
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	—	8	1	no	—
903	C₂²×D₅	—	8	1	no	—
904	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
905	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×D₄	—	2	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	2	1	no	—
914	C₅×D₄	—	8	1	no	—
915	C₅×D₄	—	8	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
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	—	4	1	no	—
925	C₂×C₄×C₅	—	4	1	no	—
926	C₂×C₄×C₅	—	8	1	no	—
927	C₂×C₄×C₅	—	8	1	no	—
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
934	C₂²⋊D₅	—	2	2	no	—
935	C₂²⋊D₅	—	2	2	no	—
936	C₂²⋊D₅	—	4	2	no	—
937	C₂²⋊D₅	—	4	2	no	—
938	C₂²⋊D₅	—	8	1	no	—
939	C₂²⋊D₅	—	8	1	no	—
940	C₂²⋊D₅	—	8	1	no	—
941	C₂²⋊D₅	—	8	1	no	—
942	C₂²⋊D₅	—	8	1	no	—
943	C₂²⋊D₅	—	8	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	—	2	1	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	4	2	no	—
951	C₂×Dic₅	—	8	1	no	—
952	C₂×Dic₅	—	8	1	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
958	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
959	D₂₀	—	2	2	no	—
960	D₂₀	—	2	1	no	—
961	D₂₀	—	2	1	no	—
962	D₂₀	—	2	1	no	—
963	D₂₀	—	2	1	no	—
964	D₂₀	—	4	2	no	—
965	D₂₀	—	8	1	no	—
966	D₂₀	—	8	1	no	—
967	C₄×D₅	—	2	1	no	—
968	C₄×D₅	—	2	1	no	—
969	C₄×D₅	—	4	1	no	—
970	C₄×D₅	—	4	1	no	—
971	C₄×D₅	—	4	1	no	—
972	C₄×D₅	—	4	1	no	—
973	C₄×D₅	—	4	2	no	—
974	C₄×D₅	—	4	2	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	—	8	1	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	—	8	1	no	—
980	C₄×D₅	—	8	1	no	—
981	C₄×D₅	C₂×#41	1	2	yes	—
982	C₄×D₅	C₂×#41	1	2	yes	—
983	Dic₁₀	—	2	2	no	—
984	Dic₁₀	—	2	1	no	—
985	Dic₁₀	—	2	1	no	—
986	Dic₁₀	—	2	1	no	—
987	Dic₁₀	—	2	1	no	—
988	Dic₁₀	—	4	2	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	C₂×#41	1	2	yes	—
994	C₅×C₈	C₂×#41	1	2	yes	—
995	#168	—	2	1	no	—
996	#168	—	2	1	no	—
997	#168	C₂×#41	1	2	yes	—
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	C₂²×Q₈	—	5	1	no	—
1003	C₂²×D₄	—	5	1	no	—
1004	#137	—	10	4	no	—
1005	#137	—	10	4	no	—
1006	AGL(1,ℤ/8)	—	10	4	no	—
1007	AGL(1,ℤ/8)	—	10	4	no	—
1008	C₂×Q₁₆	—	5	1	no	—
1009	C₂×Q₁₆	—	5	1	no	—
1010	C₂×Q₁₆	—	5	1	no	—
1011	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1012	C₂×SD₁₆	—	5	1	no	—
1013	C₂×SD₁₆	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1019	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1020	C₂×D₈	—	5	1	no	—
1021	C₂×D₈	—	5	1	no	—
1022	C₂×D₈	—	5	1	no	—
1023	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1024	#131	—	10	4	no	—
1025	#131	—	10	4	no	—
1026	C₂×M₁₆	—	5	1	no	—
1027	C₂×M₁₆	—	5	1	no	—
1028	C₂×M₁₆	—	5	1	no	—
1029	C₂×M₁₆	—	5	1	no	—
1030	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1031	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1032	C₂²×C₈	—	5	1	no	—
1033	C₂²×C₈	—	5	1	no	—
1034	C₂²×C₈	—	5	1	no	—
1035	C₂²×C₈	—	5	1	no	—
1036	C₂²×C₈	—	5	1	no	—
1037	C₂²×C₈	—	5	1	no	—
1038	C₄⋊Q₈	—	5	1	no	—
1039	C₄⋊Q₈	—	5	1	no	—
1040	C₄⋊Q₈	—	5	1	no	—
1041	C₄⋊Q₈	—	10	1	no	—
1042	#127	—	5	1	no	—
1043	#127	—	10	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	10	1	no	—
1047	#126	—	10	1	no	—
1048	#126	—	10	1	no	—
1049	#126	—	10	1	no	—
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#126	—	10	1	no	—
1055	#126	—	10	1	no	—
1056	#126	—	10	1	no	—
1057	#126	—	10	1	no	—
1058	#126	—	10	1	no	—
1059	#126	—	10	1	no	—
1060	#125	—	5	1	no	—
1061	#125	—	5	1	no	—
1062	#125	—	5	1	no	—
1063	#125	—	5	1	no	—
1064	#125	—	10	1	no	—
1065	#125	—	10	1	no	—
1066	#125	—	10	1	no	—
1067	#125	—	10	1	no	—
1068	#125	—	10	1	no	—
1069	#125	—	10	1	no	—
1070	#125	C₂²×D₅	1	1	yes	characteristic
1071	#125	C₂²×D₅	1	1	yes	characteristic
1072	#124	—	5	1	no	—
1073	#124	—	5	1	no	—
1074	#124	—	5	1	no	—
1075	#124	—	5	1	no	—
1076	#124	—	10	1	no	—
1077	#124	—	10	1	no	—
1078	#124	—	10	1	no	—
1079	#124	—	10	1	no	—
1080	#124	—	10	1	no	—
1081	#124	—	10	1	no	—
1082	#124	—	10	1	no	—
1083	#124	—	10	1	no	—
1084	#124	C₂²×D₅	1	1	yes	characteristic
1085	#124	C₂²×D₅	1	1	yes	characteristic
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	#123	—	10	1	no	—
1093	#123	—	10	1	no	—
1094	#123	—	10	1	no	—
1095	#123	—	10	1	no	—
1096	#123	—	10	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	#123	—	10	1	no	—
1103	#123	—	10	1	no	—
1104	C₂²⋊Q₈	—	5	1	no	—
1105	C₂²⋊Q₈	—	5	1	no	—
1106	C₂²⋊Q₈	—	5	1	no	—
1107	C₂²⋊Q₈	—	5	1	no	—
1108	C₂²⋊Q₈	—	5	1	no	—
1109	C₂²⋊Q₈	—	5	1	no	—
1110	C₂²⋊Q₈	—	10	1	no	—
1111	C₂²⋊Q₈	—	10	1	no	—
1112	C₂²⋊Q₈	—	10	1	no	—
1113	C₂²⋊Q₈	—	10	1	no	—
1114	C₂²⋊Q₈	—	10	1	no	—
1115	C₂²⋊Q₈	—	10	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1119	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1120	#121	—	5	1	no	—
1121	#121	—	5	1	no	—
1122	#121	—	5	1	no	—
1123	#121	—	5	1	no	—
1124	#121	—	5	1	no	—
1125	#121	—	5	1	no	—
1126	#121	—	10	1	no	—
1127	#121	—	10	1	no	—
1128	#121	—	10	1	no	—
1129	#121	—	10	1	no	—
1130	#121	—	10	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	—	10	1	no	—
1138	#121	C₂²×D₅	1	1	yes	characteristic
1139	#121	C₂²×D₅	1	1	yes	characteristic
1140	#120	—	10	1	no	—
1141	#120	—	10	1	no	—
1142	C₄×Q₈	—	5	1	no	—
1143	C₄×Q₈	—	5	1	no	—
1144	C₄×Q₈	—	5	1	no	—
1145	C₄×Q₈	—	5	1	no	—
1146	C₄×Q₈	—	5	1	no	—
1147	C₄×Q₈	—	5	1	no	—
1148	C₄×Q₈	—	5	1	no	—
1149	C₄×Q₈	—	5	1	no	—
1150	C₄×Q₈	—	10	1	no	—
1151	C₄×Q₈	—	10	1	no	—
1152	C₄×Q₈	—	10	1	no	—
1153	C₄×Q₈	—	10	1	no	—
1154	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1155	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	5	1	no	—
1159	C₄×D₄	—	5	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	5	1	no	—
1162	C₄×D₄	—	5	1	no	—
1163	C₄×D₄	—	5	1	no	—
1164	C₄×D₄	—	5	1	no	—
1165	C₄×D₄	—	5	1	no	—
1166	C₄×D₄	—	5	1	no	—
1167	C₄×D₄	—	5	1	no	—
1168	C₄×D₄	—	5	1	no	—
1169	C₄×D₄	—	5	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1185	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1186	#117	—	2	1	no	—
1187	#117	—	2	1	no	—
1188	#117	—	5	1	no	—
1189	#117	—	5	1	no	—
1190	#117	—	5	1	no	—
1191	#117	—	5	1	no	—
1192	#117	—	5	1	no	—
1193	#117	—	10	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	#117	—	10	1	no	—
1198	#117	—	10	1	no	—
1199	#117	—	10	1	no	—
1200	#117	—	10	1	no	—
1201	#117	—	10	1	no	—
1202	#117	—	10	1	no	—
1203	C₂×C₄⋊C₄	—	5	1	no	—
1204	C₂×C₄⋊C₄	—	5	1	no	—
1205	C₂×C₄⋊C₄	—	10	1	no	—
1206	C₂×C₄⋊C₄	—	10	1	no	—
1207	C₂×C₄⋊C₄	—	10	1	no	—
1208	C₂×C₄⋊C₄	—	10	1	no	—
1209	C₂×C₂²⋊C₄	—	10	1	no	—
1210	C₂×C₂²⋊C₄	—	10	1	no	—
1211	C₂×C₂²⋊C₄	—	10	1	no	—
1212	C₂×C₂²⋊C₄	—	10	1	no	—
1213	C₂×C₄²	—	5	1	no	—
1214	C₂×C₄²	—	5	1	no	—
1215	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1216	#107	—	5	1	no	—
1217	#107	—	5	1	no	—
1218	#107	—	5	1	no	—
1219	#107	—	5	1	no	—
1220	#107	—	5	1	no	—
1221	#107	—	5	1	no	—
1222	#107	C₂²×D₅	1	1	yes	characteristic
1223	#107	C₂²×D₅	1	1	yes	characteristic
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
1226	#106	—	5	1	no	—
1227	#106	—	5	1	no	—
1228	#106	—	5	1	no	—
1229	#106	—	5	1	no	—
1230	#106	C₂²×D₅	1	1	yes	characteristic
1231	#106	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#103	C₂²×D₅	1	1	yes	characteristic
1246	#103	C₂²×D₅	1	1	yes	characteristic
1247	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	C₂²×D₅	1	1	yes	characteristic
1261	#102	C₂²×D₅	1	1	yes	characteristic
1262	#102	C₂²×D₅	1	1	yes	characteristic
1263	#102	C₂²×D₅	1	1	yes	characteristic
1264	#97	—	5	1	no	—
1265	#97	—	5	1	no	—
1266	#97	—	5	1	no	—
1267	#97	—	5	1	no	—
1268	#97	C₂²×D₅	1	1	yes	characteristic
1269	#97	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1277	C₄×C₈	—	5	1	no	—
1278	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1279	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1280	C₂²×C₅	—	2	1	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	—	4	1	no	—
1289	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1290	C₂×D₅	—	2	1	no	—
1291	C₂×D₅	—	2	1	no	—
1292	C₂×D₅	—	2	1	no	—
1293	C₂×D₅	—	2	1	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	—	4	1	no	—
1301	C₂×D₅	—	16	2	no	—
1302	C₂×D₅	#532	1	2	yes	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	2	1	no	—
1306	C₄×C₅	—	2	1	no	—
1307	C₄×C₅	—	2	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	—	4	1	no	—
1311	C₄×C₅	—	4	1	no	—
1312	C₄×C₅	—	4	1	no	—
1313	C₄×C₅	—	4	1	no	—
1314	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1315	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1316	Dic₅	—	2	1	no	—
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	2	1	no	—
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	2	1	no	—
1321	Dic₅	—	4	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	—	4	1	no	—
1325	Dic₅	—	4	1	no	—
1326	Dic₅	—	4	1	no	—
1327	Dic₅	#532	1	2	yes	—
1328	C₂⁴	—	10	1	no	—
1329	#41	—	10	2	no	—
1330	#41	—	10	2	no	—
1331	#41	—	10	2	no	—
1332	#41	—	10	2	no	—
1333	#41	—	10	2	no	—
1334	#41	—	10	2	no	—
1335	C₂×Q₈	—	5	1	no	—
1336	C₂×Q₈	—	5	1	no	—
1337	C₂×Q₈	—	5	1	no	—
1338	C₂×Q₈	—	10	1	no	—
1339	C₂×Q₈	—	10	1	no	—
1340	C₂×Q₈	—	10	1	no	—
1341	C₂×Q₈	—	10	2	no	—
1342	C₂×Q₈	—	10	2	no	—
1343	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1344	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	5	1	no	—
1348	C₂×D₄	—	5	1	no	—
1349	C₂×D₄	—	5	1	no	—
1350	C₂×D₄	—	5	1	no	—
1351	C₂×D₄	—	5	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	2	no	—
1356	C₂×D₄	—	10	2	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	—	10	1	no	—
1362	C₂×D₄	—	10	1	no	—
1363	C₂×D₄	—	10	1	no	—
1364	C₂×D₄	—	10	1	no	—
1365	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1366	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	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	D₄×D₅	1	1	yes	characteristic
1387	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1388	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1389	Q₁₆	—	2	2	no	—
1390	Q₁₆	—	10	2	no	—
1391	Q₁₆	—	10	2	no	—
1392	Q₁₆	—	10	2	no	—
1393	SD₁₆	—	2	2	no	—
1394	SD₁₆	—	2	2	no	—
1395	SD₁₆	—	10	2	no	—
1396	SD₁₆	—	10	2	no	—
1397	SD₁₆	—	10	2	no	—
1398	SD₁₆	—	10	2	no	—
1399	SD₁₆	—	10	2	no	—
1400	SD₁₆	—	10	2	no	—
1401	D₈	—	2	2	no	—
1402	D₈	—	10	2	no	—
1403	D₈	—	10	2	no	—
1404	D₈	—	10	2	no	—
1405	M₁₆	—	2	2	no	—
1406	M₁₆	—	2	2	no	—
1407	M₁₆	—	5	4	no	—
1408	M₁₆	—	5	4	no	—
1409	M₁₆	—	10	2	no	—
1410	M₁₆	—	10	2	no	—
1411	C₂×C₈	—	5	1	no	—
1412	C₂×C₈	—	5	1	no	—
1413	C₂×C₈	—	5	1	no	—
1414	C₂×C₈	—	5	1	no	—
1415	C₂×C₈	—	10	2	no	—
1416	C₂×C₈	—	10	2	no	—
1417	C₂×C₈	—	10	2	no	—
1418	C₂×C₈	—	10	2	no	—
1419	C₂×C₈	—	10	2	no	—
1420	C₂×C₈	—	10	2	no	—
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	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1432	C₄⋊C₄	—	2	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	—	5	1	no	—
1441	C₄⋊C₄	—	5	1	no	—
1442	C₄⋊C₄	—	5	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	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1471	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	5	1	no	—
1484	C₂²⋊C₄	—	5	1	no	—
1485	C₂²⋊C₄	—	5	1	no	—
1486	C₂²⋊C₄	—	5	1	no	—
1487	C₂²⋊C₄	—	5	1	no	—
1488	C₂²⋊C₄	—	5	1	no	—
1489	C₂²⋊C₄	—	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	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	5	1	no	—
1520	C₄²	—	5	1	no	—
1521	C₄²	—	5	1	no	—
1522	C₄²	—	5	1	no	—
1523	C₄²	—	5	1	no	—
1524	C₄²	—	5	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	D₄×D₅	1	1	yes	characteristic
1534	C₄²	D₄×D₅	1	1	yes	characteristic
1535	C₄²	C₂³×D₅	1	1	yes	characteristic
1536	C₄²	C₂³×D₅	1	1	yes	characteristic
1537	C₂×C₅	—	4	1	no	—
1538	C₂×C₅	—	8	1	no	—
1539	C₂×C₅	—	8	1	no	—
1540	C₂×C₅	C₂×#532	1	1	yes	characteristic
1541	C₂×C₅	#3584	1	1	yes	characteristic
1542	C₂×C₅	#3584	1	1	yes	characteristic
1543	D₅	—	2	2	no	—
1544	D₅	—	4	1	no	—
1545	D₅	—	8	1	no	—
1546	D₅	—	8	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	2	1	no	—
1549	C₂³	—	5	1	no	—
1550	C₂³	—	5	1	no	—
1551	C₂³	—	10	1	no	—
1552	C₂³	—	10	1	no	—
1553	C₂³	—	20	2	no	—
1554	C₂³	—	40	1	no	—
1555	C₂³	—	40	1	no	—
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	—	20	2	no	—
1567	Q₈	—	40	1	no	—
1568	Q₈	—	40	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	10	2	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	—	10	1	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	—	40	1	no	—
1589	D₄	—	40	1	no	—
1590	D₄	—	40	1	no	—
1591	D₄	—	40	1	no	—
1592	D₄	—	40	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	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	5	1	no	—
1604	C₂×C₄	—	5	2	no	—
1605	C₂×C₄	—	5	2	no	—
1606	C₂×C₄	—	5	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	1	no	—
1609	C₂×C₄	—	5	1	no	—
1610	C₂×C₄	—	5	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	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	—	10	1	no	—
1621	C₂×C₄	—	20	1	no	—
1622	C₂×C₄	—	20	1	no	—
1623	C₂×C₄	—	20	1	no	—
1624	C₂×C₄	—	20	1	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	20	2	no	—
1627	C₂×C₄	—	20	2	no	—
1628	C₂×C₄	—	40	1	no	—
1629	C₂×C₄	—	40	1	no	—
1630	C₂×C₄	—	40	1	no	—
1631	C₂×C₄	—	40	1	no	—
1632	C₂×C₄	—	40	1	no	—
1633	C₂×C₄	—	40	1	no	—
1634	C₂×C₄	—	40	1	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1637	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
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	C₂⁴×D₅	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	5	2	no	—
1645	C₈	—	5	2	no	—
1646	C₈	—	10	1	no	—
1647	C₈	—	10	1	no	—
1648	C₈	D₅×#41	1	2	yes	—
1649	C₈	D₅×#41	1	2	yes	—
1650	C₅	#60724	1	1	yes	characteristic, complemented, Sylow
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	5	2	no	—
1661	C₂²	—	10	1	no	—
1662	C₂²	—	10	1	no	—
1663	C₂²	—	10	1	no	—
1664	C₂²	—	10	1	no	—
1665	C₂²	—	10	1	no	—
1666	C₂²	—	20	1	no	—
1667	C₂²	—	20	1	no	—
1668	C₂²	—	20	1	no	—
1669	C₂²	—	20	1	no	—
1670	C₂²	—	20	1	no	—
1671	C₂²	—	20	1	no	—
1672	C₂²	—	80	2	no	—
1673	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	4	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	—	5	2	no	—
1686	C₄	—	10	1	no	—
1687	C₄	—	10	1	no	—
1688	C₄	—	10	1	no	—
1689	C₄	—	10	1	no	—
1690	C₄	—	10	1	no	—
1691	C₄	—	20	1	no	—
1692	C₄	—	20	1	no	—
1693	C₄	—	20	1	no	—
1694	C₄	—	20	1	no	—
1695	C₄	—	20	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	C₂×D₅×#41	1	1	yes	characteristic
1698	C₄	C₂×D₅×#41	1	1	yes	characteristic
1699	C₂	—	4	1	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	8	1	no	—
1702	C₂	—	10	2	no	—
1703	C₂	—	20	1	no	—
1704	C₂	—	40	1	no	—
1705	C₂	—	40	1	no	—
1706	C₂	D₅×#532	1	1	yes	characteristic
1707	C₂	#10619100	1	1	yes	characteristic
1708	C₂	#10619100	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×#3183	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3183	D₅
hypocenter	C₅	#60724
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3183

Complements

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

N	H ≅ G/N	type
1. #10618060	C₂	semidirect
2. #10618024	C₂	semidirect
3. C₅×#3183	C₂	semidirect
4. #10614865	C₂	semidirect
5. #10614865	C₂	semidirect
6. #10613650	C₂	semidirect
7. #10613638	C₂	semidirect
8. #10613552	C₂	semidirect
9. #10613540	C₂	semidirect
10. #10613368	C₂	semidirect
11. D₅×#488	C₂	semidirect
12. #10613362	C₂	semidirect
13. #10613362	C₂	semidirect
14. #10612638	C₂	semidirect
15. #10612622	C₂	semidirect
16. #10612598	C₂	semidirect
17. #10612582	C₂	semidirect
18. #10612541	C₂	semidirect
19. #10612540	C₂	semidirect
20. #10612520	C₂	semidirect
21. #10612519	C₂	semidirect
22. #10611597	C₂	semidirect
23. #10611592	C₂	semidirect
24. #10611561	C₂	semidirect
25. #10611556	C₂	semidirect
26. #10611507	C₂	semidirect
27. #10611506	C₂	semidirect
28. #10611501	C₂	semidirect
29. #10611500	C₂	semidirect
30. #10610265	C₂	semidirect
31. C₄×#4053	C₂	semidirect
33. C₅×#529	C₂²	semidirect
45. #66025	C₂²	semidirect
49. #66014	C₂²	semidirect
59. #65959	C₂²	semidirect
60. #65953	C₂²	semidirect
64. #65917	C₂²	semidirect
68. #65896	C₂²	semidirect
81. #65813	C₂²	semidirect
83. C₅×#499	C₂²	semidirect
86. C₅×#488	C₂²	semidirect
87. C₅×#470	C₂²	semidirect
90. C₅×#468	C₂²	semidirect
92. C₅×#441	C₂²	semidirect
94. C₅×#440	C₂²	semidirect
95. C₄×C₅×M₁₆	C₂²	semidirect
97. #65477	C₂²	semidirect
98. Q₁₆×Dic₅	C₂²	semidirect
101. #65460	C₂²	semidirect
104. SD₁₆×Dic₅	C₂²	semidirect
108. #65426	C₂²	semidirect
111. #65423	C₂²	semidirect
112. #65411	C₂²	semidirect
113. #65411	C₂²	semidirect
115. #65357	C₂²	semidirect
116. #65353	C₂²	semidirect
117. #65353	C₂²	semidirect
121. #65345	C₂²	semidirect
122. #65340	C₂²	semidirect
123. #65340	C₂²	semidirect
125. #65337	C₂²	semidirect
127. #65330	C₂²	semidirect
130. C₄×#689	C₂²	semidirect
131. C₄×#689	C₂²	semidirect
133. C₄×#688	C₂²	semidirect
135. C₄×#687	C₂²	semidirect
138. C₂×C₄×#168	C₂²	semidirect
139. #65176	C₂²	semidirect
143. #65165	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65162	C₂²	semidirect
148. #65153	C₂²	semidirect
151. #65145	C₂²	semidirect
152. #65145	C₂²	semidirect
154. #65141	C₂²	semidirect
156. #65106	C₂²	semidirect
157. #65105	C₂²	semidirect
158. #65105	C₂²	semidirect
160. #65101	C₂²	semidirect
167. #65081	C₂²	semidirect
168. #65081	C₂²	semidirect
169. #65078	C₂²	semidirect
170. #65078	C₂²	semidirect
176. #65069	C₂²	semidirect
183. #65049	C₂²	semidirect
184. #65049	C₂²	semidirect
186. #65046	C₂²	semidirect
187. #65005	C₂²	semidirect
190. #64999	C₂²	semidirect
193. #64997	C₂²	semidirect
194. #64997	C₂²	semidirect
196. #64986	C₂²	semidirect
199. C₄×#676	C₂²	semidirect
201. C₄×C₈×D₅	C₂²	semidirect
202. #64972	C₂²	semidirect
490. #3183	D₅	semidirect
768. #529	C₂×D₅	semidirect
783. #499	C₂×D₅	semidirect
803. #488	C₂×D₅	semidirect
811. #470	C₂×D₅	semidirect
823. #468	C₂×D₅	semidirect
847. #441	C₂×D₅	semidirect
855. #440	C₂×D₅	semidirect
892. C₄×M₁₆	C₂×D₅	semidirect
1650. C₅	#60724	semidirect

Maximal subgroups

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

subgroup	index
#10618060	2
#10618024	2
C₅×#3183	2
#10614865	2
#10613650	2
#10613638	2
#10613552	2
#10613540	2
#10613368	2
D₅×#488	2
#10613362	2
#10612638	2
#10612622	2
#10612598	2
#10612582	2
#10612541	2
#10612540	2
#10612520	2
#10612519	2
#10611597	2
#10611592	2
#10611561	2
#10611556	2
#10611507	2
#10611506	2
#10611501	2
#10611500	2
#10610265	2
C₄×#4053	2
#60724	5