Subgroups — #12980612

Order 1280.

1908 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618964	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618884	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615452	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615403	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613601	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613596	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613578	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613570	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613553	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613544	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612334	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612331	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612321	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612319	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612270	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612264	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612259	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612257	C₂	1	1	yes	maximal, characteristic, complemented
20	D₅×#461	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612154	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612116	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612109	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611692	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611684	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611596	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611589	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611561	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611552	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611379	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611368	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic
33	C₅×#556	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×#4064	C₂²	1	1	yes	characteristic
36	C₂×#4062	C₂²	1	1	yes	characteristic
37	C₂×#4061	C₂²	1	1	yes	characteristic
38	C₂×#4061	C₂²	1	1	yes	characteristic
39	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
40	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
41	C₂×#4058	C₂²	1	1	yes	characteristic
42	C₂×#4057	C₂²	1	1	yes	characteristic
43	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
44	#66055	C₂²	1	1	yes	characteristic, complemented
45	#66052	C₂²	1	1	yes	characteristic
46	#66049	C₂²	1	1	yes	characteristic
47	#66042	—	2	1	no	—
48	#66042	—	2	1	no	—
49	#66035	—	2	1	no	—
50	#66035	—	2	1	no	—
51	#66015	C₂²	1	1	yes	characteristic
52	#66012	—	2	1	no	—
53	#66009	C₂²	1	1	yes	characteristic
54	#66009	C₂²	1	1	yes	characteristic
55	#66008	C₂²	1	1	yes	characteristic
56	#66005	C₂²	1	1	yes	characteristic
57	#66005	C₂²	1	1	yes	characteristic, complemented
58	#66005	C₂²	1	1	yes	characteristic, complemented
59	#66004	—	2	1	no	—
60	#66002	C₂²	1	1	yes	characteristic
61	#65995	—	2	1	no	—
62	#65991	—	2	1	no	—
63	#65990	—	2	1	no	—
64	#65989	—	2	1	no	—
65	#65973	—	2	1	no	—
66	#65956	—	2	1	no	—
67	#65919	C₂²	1	1	yes	characteristic
68	#65912	C₂²	1	1	yes	characteristic
69	#65908	C₂²	1	1	yes	characteristic
70	#65906	C₂²	1	1	yes	characteristic
71	#65906	C₂²	1	1	yes	characteristic
72	#65904	C₂²	1	1	yes	characteristic, complemented
73	#65902	C₂²	1	1	yes	characteristic
74	#65901	C₂²	1	1	yes	characteristic, complemented
75	#65901	C₂²	1	1	yes	characteristic, complemented
76	#65893	C₂²	1	1	yes	characteristic
77	#65887	C₂²	1	1	yes	characteristic
78	#65881	—	2	1	no	—
79	#65880	C₂²	1	1	yes	characteristic
80	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
81	#65876	C₂²	1	1	yes	characteristic, complemented
82	#65874	—	2	1	no	—
83	C₄×#711	C₂²	1	1	yes	characteristic
84	#65863	—	2	1	no	—
85	#65851	—	2	1	no	—
86	C₅×#497	C₂²	1	1	yes	characteristic, complemented
87	C₅×#496	C₂²	1	1	yes	characteristic
88	C₅×#495	C₂²	1	1	yes	characteristic
89	C₅×#464	C₂²	1	1	yes	characteristic
90	C₅×#464	C₂²	1	1	yes	characteristic, complemented
91	C₅×#463	C₂²	1	1	yes	characteristic, complemented
92	C₅×#463	C₂²	1	1	yes	characteristic, complemented
93	C₅×#461	C₂²	1	1	yes	characteristic
94	C₅×#460	C₂²	1	1	yes	characteristic
95	C₅×#446	C₂²	1	1	yes	characteristic, complemented
96	C₅×#442	C₂²	1	1	yes	characteristic
97	C₅×#441	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
99	#65479	C₂²	1	1	yes	characteristic
100	#65474	C₂²	1	1	yes	characteristic
101	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
102	#65471	C₂²	1	1	yes	characteristic, complemented
103	#65470	C₂²	1	1	yes	characteristic, complemented
104	#65470	C₂²	1	1	yes	characteristic, complemented
105	#65464	C₂²	1	1	yes	characteristic
106	#65464	C₂²	1	1	yes	characteristic
107	#65464	C₂²	1	1	yes	characteristic, complemented
108	#65464	C₂²	1	1	yes	characteristic, complemented
109	#65457	C₂²	1	1	yes	characteristic
110	#65456	C₂²	1	1	yes	characteristic
111	#65455	C₂²	1	1	yes	characteristic
112	#65455	C₂²	1	1	yes	characteristic, complemented
113	#65453	C₂²	1	1	yes	characteristic, complemented
114	#65452	C₂²	1	1	yes	characteristic
115	#65452	C₂²	1	1	yes	characteristic
116	#65451	C₂²	1	1	yes	characteristic
117	#65451	C₂²	1	1	yes	characteristic
118	#65451	C₂²	1	1	yes	characteristic, complemented
119	#65451	C₂²	1	1	yes	characteristic, complemented
120	#65444	C₂²	1	1	yes	characteristic
121	#65443	C₂²	1	1	yes	characteristic
122	#65443	C₂²	1	1	yes	characteristic
123	#65442	C₂²	1	1	yes	characteristic, complemented
124	#65439	C₂²	1	1	yes	characteristic, complemented
125	D₈×Dic₅	C₂²	1	1	yes	characteristic
126	#65375	C₂²	1	1	yes	characteristic, complemented
127	#65372	C₂²	1	1	yes	characteristic
128	#65365	C₂²	1	1	yes	characteristic
129	#65364	C₂²	1	1	yes	characteristic
130	#65349	C₂²	1	1	yes	characteristic
131	#65349	C₂²	1	1	yes	characteristic, complemented
132	#65348	C₂²	1	1	yes	characteristic
133	#65347	C₂²	1	1	yes	characteristic
134	#65346	C₂²	1	1	yes	characteristic, complemented
135	#65343	C₂²	1	1	yes	characteristic
136	#65343	C₂²	1	1	yes	characteristic, complemented
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65320	C₂²	1	1	yes	characteristic, complemented
139	#65319	C₂²	1	1	yes	characteristic, complemented
140	C₄×#689	C₂²	1	1	yes	characteristic, complemented
141	#65317	C₂²	1	1	yes	characteristic
142	#65316	C₂²	1	1	yes	characteristic
143	C₄×#688	C₂²	1	1	yes	characteristic, complemented
144	#65313	C₂²	1	1	yes	characteristic, complemented
145	#65308	C₂²	1	1	yes	characteristic
146	#65308	C₂²	1	1	yes	characteristic, complemented
147	#65307	C₂²	1	1	yes	characteristic
148	#65307	C₂²	1	1	yes	characteristic, complemented
149	#65305	C₂²	1	1	yes	characteristic, complemented
150	#65303	C₂²	1	1	yes	characteristic
151	#65150	C₂²	1	1	yes	characteristic
152	#65142	C₂²	1	1	yes	characteristic, complemented
153	#65141	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65138	C₂²	1	1	yes	characteristic, complemented
156	#65137	C₂²	1	1	yes	characteristic
157	#65134	C₂²	1	1	yes	characteristic
158	#65134	C₂²	1	1	yes	characteristic, complemented
159	#65130	C₂²	1	1	yes	characteristic
160	#65130	C₂²	1	1	yes	characteristic, complemented
161	#65128	C₂²	1	1	yes	characteristic
162	#65128	C₂²	1	1	yes	characteristic
163	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
164	#65119	C₂²	1	1	yes	characteristic, complemented
165	#65117	C₂²	1	1	yes	characteristic, complemented
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65107	C₂²	1	1	yes	characteristic
168	#65107	C₂²	1	1	yes	characteristic
169	#65107	C₂²	1	1	yes	characteristic, complemented
170	#65106	C₂²	1	1	yes	characteristic, complemented
171	#65093	C₂²	1	1	yes	characteristic
172	D₅×#103	C₂²	1	1	yes	characteristic
173	D₅×#103	C₂²	1	1	yes	characteristic
174	#65087	C₂²	1	1	yes	characteristic
175	#65082	C₂²	1	1	yes	characteristic, complemented
176	#65082	C₂²	1	1	yes	characteristic, complemented
177	#65079	C₂²	1	1	yes	characteristic, complemented
178	#65078	C₂²	1	1	yes	characteristic, complemented
179	#65076	C₂²	1	1	yes	characteristic, complemented
180	#65061	C₂²	1	1	yes	characteristic
181	#65060	C₂²	1	1	yes	characteristic
182	#65059	C₂²	1	1	yes	characteristic
183	#65056	C₂²	1	1	yes	characteristic
184	#65056	C₂²	1	1	yes	characteristic, complemented
185	#65051	C₂²	1	1	yes	characteristic
186	#65051	C₂²	1	1	yes	characteristic
187	#65051	C₂²	1	1	yes	characteristic, complemented
188	#65047	C₂²	1	1	yes	characteristic
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic
191	#65004	C₂²	1	1	yes	characteristic
192	#65004	C₂²	1	1	yes	characteristic, complemented
193	#64999	C₂²	1	1	yes	characteristic
194	#64999	C₂²	1	1	yes	characteristic, complemented
195	#64997	C₂²	1	1	yes	characteristic
196	#64996	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	#64982	C₂²	1	1	yes	characteristic
201	#64978	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61420	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×#711	—	2	1	no	—
208	C₂×#711	C₂³	1	1	yes	characteristic
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×#709	—	2	1	no	—
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
221	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
222	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×#127	C₂³	1	1	yes	characteristic
224	C₅×#126	—	2	1	no	—
225	C₅×#126	—	2	1	no	—
226	C₅×#124	—	2	1	no	—
227	C₅×#124	C₂³	1	1	yes	characteristic
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×#124	C₂³	1	1	yes	characteristic
231	C₅×#123	—	2	1	no	—
232	C₅×#123	—	2	1	no	—
233	C₅×C₂²⋊Q₈	—	2	1	no	—
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	—	2	1	no	—
239	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₅×#117	—	2	1	no	—
243	#4093	—	2	1	no	—
244	#4093	C₂³	1	1	yes	characteristic
245	#4092	D₄	1	1	yes	characteristic
246	Q₈×Dic₅	—	2	1	no	—
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	#4090	D₄	1	1	yes	characteristic
251	#4090	C₂³	1	1	yes	characteristic
252	#4090	C₂³	1	1	yes	characteristic
253	#4090	C₂³	1	1	yes	characteristic
254	#4090	C₂³	1	1	yes	characteristic
255	#4090	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#689	C₂³	1	1	yes	characteristic
259	C₂×#689	C₂³	1	1	yes	characteristic
260	C₂×#689	C₂³	1	1	yes	characteristic
261	C₂×#688	C₂³	1	1	yes	characteristic
262	C₂×#688	C₂³	1	1	yes	characteristic
263	C₂×#688	C₂³	1	1	yes	characteristic
264	C₂×#688	C₂³	1	1	yes	characteristic
265	#4086	C₂³	1	1	yes	characteristic
266	#4086	C₂³	1	1	yes	characteristic
267	#4086	C₂³	1	1	yes	characteristic
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4084	—	2	1	no	—
273	#4083	—	2	1	no	—
274	#4083	—	2	1	no	—
275	#4082	C₂³	1	1	yes	characteristic
276	#4082	C₂³	1	1	yes	characteristic
277	#4082	C₂³	1	1	yes	characteristic
278	D₄×Dic₅	C₂³	1	1	yes	characteristic
279	D₄×Dic₅	C₂³	1	1	yes	characteristic
280	D₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×#687	C₂³	1	1	yes	characteristic
282	C₂×#687	C₂³	1	1	yes	characteristic
283	C₂×#687	C₂³	1	1	yes	characteristic
284	C₂×#687	C₂³	1	1	yes	characteristic
285	C₂×#687	C₂³	1	1	yes	characteristic
286	C₂×#687	C₂³	1	1	yes	characteristic
287	C₂×#687	C₂³	1	1	yes	characteristic
288	C₂×#686	C₂³	1	1	yes	characteristic
289	C₂×#686	C₂³	1	1	yes	characteristic
290	#4076	—	2	1	no	—
291	#4075	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	—	2	1	no	—
294	C₄×C₂²⋊D₅	—	2	1	no	—
295	C₄×C₂²⋊D₅	—	2	1	no	—
296	#4072	—	2	1	no	—
297	#4070	—	2	1	no	—
298	C₂×#683	—	2	1	no	—
299	C₂×C₄×Dic₅	—	2	1	no	—
300	#4064	—	2	4	no	—
301	#4064	—	4	2	no	—
302	#4062	—	4	2	no	—
303	#4061	—	2	4	no	—
304	#4061	—	4	2	no	—
305	D₅×SD₁₆	—	4	2	no	—
306	D₅×SD₁₆	—	4	2	no	—
307	#4058	—	4	2	no	—
308	#4057	—	2	4	no	—
309	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
310	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
311	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
312	C₂×#677	C₂³	1	1	yes	characteristic
313	C₂×#677	C₂³	1	1	yes	characteristic
314	C₂×#677	C₂³	1	1	yes	characteristic
315	C₂×#677	C₂³	1	1	yes	characteristic
316	C₂×#677	C₂³	1	1	yes	characteristic
317	C₂×#677	C₂³	1	1	yes	characteristic
318	C₂×#676	C₂³	1	1	yes	characteristic
319	C₂×#676	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
322	#4044	—	2	1	no	—
323	#4043	D₄	1	1	yes	characteristic
324	#4042	—	2	1	no	—
325	#4042	D₄	1	1	yes	characteristic
326	#4042	D₄	1	1	yes	characteristic
327	#4040	—	2	1	no	—
328	#4040	—	2	1	no	—
329	#4039	—	2	1	no	—
330	#4039	—	2	1	no	—
331	#4039	C₂³	1	1	yes	characteristic
332	#4039	C₂³	1	1	yes	characteristic
333	#4038	—	2	1	no	—
334	#4038	—	2	1	no	—
335	#4038	C₂³	1	1	yes	characteristic
336	D₅×C₄⋊C₄	—	2	1	no	—
337	D₅×C₄⋊C₄	—	2	1	no	—
338	D₅×C₄⋊C₄	—	2	1	no	—
339	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
340	#4036	—	2	1	no	—
341	#4036	—	2	1	no	—
342	#4036	—	2	1	no	—
343	#4036	—	2	1	no	—
344	#4035	—	2	1	no	—
345	#4035	—	2	1	no	—
346	#4035	—	2	1	no	—
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	D₄	1	1	yes	characteristic
351	#4035	D₄	1	1	yes	characteristic
352	#4034	—	2	1	no	—
353	#4034	—	2	1	no	—
354	#4034	D₄	1	1	yes	characteristic
355	#4033	—	2	1	no	—
356	#4033	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	C₂³	1	1	yes	characteristic
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4033	C₂³	1	1	yes	characteristic
362	#4032	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4030	—	2	1	no	—
366	#4030	—	2	1	no	—
367	#4030	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4029	—	2	1	no	—
373	#4029	—	2	1	no	—
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4028	—	2	1	no	—
378	#4028	—	2	1	no	—
379	#4027	—	2	1	no	—
380	#4027	—	2	1	no	—
381	#4027	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	D₅×C₂²⋊C₄	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	—	2	1	no	—
389	#4025	—	2	1	no	—
390	#4025	—	2	1	no	—
391	#4025	—	2	1	no	—
392	#4025	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4024	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4024	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4023	—	2	1	no	—
404	#4023	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4022	—	2	1	no	—
407	#4021	C₂³	1	1	yes	characteristic
408	#4021	C₂³	1	1	yes	characteristic
409	#4020	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	#4018	—	2	1	no	—
414	#4018	—	2	1	no	—
415	#4018	—	2	1	no	—
416	#4018	—	2	1	no	—
417	#4018	C₂³	1	1	yes	characteristic
418	#4018	C₂³	1	1	yes	characteristic
419	C₄²×D₅	C₂³	1	1	yes	characteristic
420	#4016	—	2	1	no	—
421	#4016	—	2	1	no	—
422	#4015	C₂³	1	1	yes	characteristic
423	#4015	C₂³	1	1	yes	characteristic
424	#4015	C₂³	1	1	yes	characteristic
425	C₄×Dic₁₀	—	2	1	no	—
426	C₄×Dic₁₀	—	2	1	no	—
427	C₄×Dic₁₀	—	2	1	no	—
428	C₄×Dic₁₀	—	2	1	no	—
429	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
432	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
433	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
434	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
435	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
436	C₅×#106	C₂³	1	1	yes	characteristic
437	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×#103	C₂³	1	1	yes	characteristic
441	C₅×#103	C₂³	1	1	yes	characteristic
442	C₅×#103	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic
444	C₅×#102	C₂³	1	1	yes	characteristic
445	C₅×#102	C₂³	1	1	yes	characteristic
446	C₅×#97	C₂³	1	1	yes	characteristic
447	C₅×#97	C₂³	1	1	yes	characteristic
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3967	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic
457	#3950	C₂³	1	1	yes	characteristic
458	#3948	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3947	C₂³	1	1	yes	characteristic
463	#3947	C₂³	1	1	yes	characteristic
464	#3946	C₂³	1	1	yes	characteristic
465	#3946	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	C₈×Dic₅	C₂³	1	1	yes	characteristic
471	C₈×Dic₅	C₂³	1	1	yes	characteristic
472	C₈×Dic₅	C₂³	1	1	yes	characteristic
473	C₈×Dic₅	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3942	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3939	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	#3935	C₂³	1	1	yes	characteristic
486	#3935	C₂³	1	1	yes	characteristic
487	C₄×#168	C₂³	1	1	yes	characteristic
488	#3509	—	5	1	no	—
489	#3506	—	5	1	no	—
490	#3401	—	5	1	no	—
491	#3401	—	5	1	no	—
492	#3401	—	5	1	no	—
493	#3401	D₅	1	1	yes	characteristic, complemented
494	#3400	—	5	1	no	—
495	#3400	—	5	1	no	—
496	#3400	—	5	1	no	—
497	#3400	—	5	1	no	—
498	#3398	—	5	1	no	—
499	#3398	—	5	1	no	—
500	#3397	—	5	1	no	—
501	#3397	—	5	1	no	—
502	#3393	—	5	1	no	—
503	#3393	—	5	1	no	—
504	#3392	—	5	1	no	—
505	#3392	—	5	1	no	—
506	#3154	—	5	1	no	—
507	#3154	—	5	1	no	—
508	#3152	—	5	1	no	—
509	#3046	—	5	1	no	—
510	#3046	—	5	1	no	—
511	#3043	—	5	1	no	—
512	#3043	—	5	1	no	—
513	#3035	—	5	1	no	—
514	C₂×#461	—	5	1	no	—
515	#2962	—	5	1	no	—
516	#2947	—	5	1	no	—
517	#2947	—	5	1	no	—
518	C₄×AGL(1,ℤ/8)	—	5	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	#713	—	2	2	no	—
547	#713	—	2	2	no	—
548	Q₈×D₅	—	2	2	no	—
549	Q₈×D₅	—	2	2	no	—
550	Q₈×D₅	—	2	2	no	—
551	Q₈×D₅	—	2	2	no	—
552	#711	—	2	2	no	—
553	#711	—	2	2	no	—
554	#711	—	2	2	no	—
555	#711	—	2	2	no	—
556	#711	—	8	2	no	—
557	D₄×D₅	—	2	2	no	—
558	D₄×D₅	—	2	2	no	—
559	#709	—	8	2	no	—
560	C₂×D₂₀	—	2	1	no	—
561	C₂×D₂₀	—	2	1	no	—
562	C₂×D₂₀	—	2	1	no	—
563	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
564	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
573	C₂×C₄×D₅	—	8	2	no	—
574	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₁₀	—	2	1	no	—
578	C₂×Dic₁₀	—	2	1	no	—
579	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
580	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
581	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
582	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
583	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
584	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
586	C₅×Q₁₆	—	2	2	no	—
587	C₅×Q₁₆	—	4	1	no	—
588	C₅×SD₁₆	—	2	2	no	—
589	C₅×SD₁₆	—	4	1	no	—
590	C₅×SD₁₆	—	4	1	no	—
591	C₅×SD₁₆	—	4	1	no	—
592	C₅×SD₁₆	—	4	1	no	—
593	C₅×D₈	—	2	2	no	—
594	C₅×D₈	—	4	1	no	—
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
597	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
598	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	—	2	1	no	—
620	C₄²×C₅	—	2	1	no	—
621	C₄²×C₅	—	2	1	no	—
622	C₄²×C₅	—	2	1	no	—
623	C₄²×C₅	C₂⁴	1	1	yes	characteristic
624	C₄²×C₅	C₂⁴	1	1	yes	characteristic
625	C₄²×C₅	C₂⁴	1	1	yes	characteristic
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	—	2	1	no	—
628	C₂²⋊Dic₅	—	2	1	no	—
629	C₂²⋊Dic₅	—	2	1	no	—
630	C₂²⋊Dic₅	—	2	1	no	—
631	C₂²⋊Dic₅	—	2	1	no	—
632	C₂²⋊Dic₅	—	2	1	no	—
633	C₂²⋊Dic₅	—	2	1	no	—
634	C₂²⋊Dic₅	—	2	1	no	—
635	#689	—	2	2	no	—
636	#689	—	2	2	no	—
637	#689	—	4	1	no	—
638	#689	—	4	1	no	—
639	#689	—	4	1	no	—
640	#688	—	2	2	no	—
641	#688	—	4	1	no	—
642	#688	—	4	1	no	—
643	#688	—	4	1	no	—
644	#687	—	2	2	no	—
645	#687	—	2	2	no	—
646	#687	—	4	1	no	—
647	#687	—	4	1	no	—
648	#687	—	4	1	no	—
649	#687	—	4	1	no	—
650	#687	—	4	1	no	—
651	#686	—	2	2	no	—
652	#686	—	4	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	C₂×D₄	1	1	yes	characteristic
665	#685	C₂×D₄	1	1	yes	characteristic
666	#685	C₂×D₄	1	1	yes	characteristic
667	#685	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	—	2	1	no	—
671	C₄⋊Dic₅	—	2	1	no	—
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
679	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	C₂×D₄	1	1	yes	characteristic
702	#683	C₂×D₄	1	1	yes	characteristic
703	#683	C₂×D₄	1	1	yes	characteristic
704	#683	C₂×D₄	1	1	yes	characteristic
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	#683	C₂×D₄	1	1	yes	characteristic
709	#683	C₂×D₄	1	1	yes	characteristic
710	#683	C₂×D₄	1	1	yes	characteristic
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	—	2	1	no	—
720	C₄×Dic₅	—	2	1	no	—
721	C₄×Dic₅	—	2	1	no	—
722	C₄×Dic₅	—	2	1	no	—
723	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
725	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
726	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
727	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	C₂×#168	C₂⁴	1	1	yes	characteristic
730	C₂×#168	C₂⁴	1	1	yes	characteristic
731	C₂×#168	C₂⁴	1	1	yes	characteristic
732	Dic₂₀	—	2	2	no	—
733	Dic₂₀	—	4	1	no	—
734	Dic₂₀	—	4	1	no	—
735	#677	—	2	2	no	—
736	#677	—	2	2	no	—
737	#677	—	4	1	no	—
738	#677	—	4	1	no	—
739	#677	—	4	1	no	—
740	#677	—	4	1	no	—
741	#676	—	2	2	no	—
742	#676	#41	1	4	yes	complemented
743	C₈×D₅	—	2	2	no	—
744	C₈×D₅	—	2	2	no	—
745	C₂×#137	—	5	1	no	—
746	C₂×#137	—	5	1	no	—
747	C₂×#137	—	5	1	no	—
748	C₂×#137	—	5	1	no	—
749	C₂×AGL(1,ℤ/8)	—	5	1	no	—
750	C₂×#135	—	5	1	no	—
751	C₂×#135	—	5	1	no	—
752	C₂²×SD₁₆	—	5	1	no	—
753	C₂²×SD₁₆	—	5	1	no	—
754	#559	—	5	1	no	—
755	#559	—	5	1	no	—
756	#559	—	5	1	no	—
757	#559	C₂×D₅	1	1	yes	characteristic
758	#557	—	5	1	no	—
759	#557	—	5	1	no	—
760	#557	—	5	1	no	—
761	#557	—	5	1	no	—
762	#556	—	5	1	no	—
763	#556	—	5	1	no	—
764	#556	—	5	1	no	—
765	#556	—	5	1	no	—
766	#556	—	5	1	no	—
767	#556	C₂×D₅	1	1	yes	characteristic, complemented
768	#555	—	10	1	no	—
769	#553	—	10	1	no	—
770	#553	—	10	1	no	—
771	#552	—	10	1	no	—
772	#552	—	10	1	no	—
773	#552	—	10	1	no	—
774	#552	—	10	1	no	—
775	#550	—	5	1	no	—
776	#550	—	5	1	no	—
777	#547	—	10	1	no	—
778	#541	—	10	1	no	—
779	#541	—	10	1	no	—
780	#538	—	10	1	no	—
781	#538	—	10	1	no	—
782	#536	—	5	1	no	—
783	#536	—	5	1	no	—
784	#535	—	5	1	no	—
785	#535	—	5	1	no	—
786	#533	—	5	1	no	—
787	#533	—	10	1	no	—
788	#533	—	10	1	no	—
789	#532	—	5	1	no	—
790	C₂×C₄⋊Q₈	—	5	1	no	—
791	#525	—	10	1	no	—
792	#525	—	10	1	no	—
793	#520	—	5	1	no	—
794	#520	—	5	1	no	—
795	#519	—	5	1	no	—
796	#519	—	5	1	no	—
797	C₄×#41	—	5	1	no	—
798	C₂×C₄×D₄	—	5	1	no	—
799	#497	—	5	1	no	—
800	#497	—	5	1	no	—
801	#497	—	5	1	no	—
802	#497	—	5	1	no	—
803	#497	—	5	1	no	—
804	#497	—	5	1	no	—
805	#497	—	5	1	no	—
806	#497	C₂×D₅	1	1	yes	characteristic, complemented
807	#496	—	5	1	no	—
808	#496	—	5	1	no	—
809	#496	—	5	1	no	—
810	#496	C₂×D₅	1	1	yes	characteristic
811	#495	—	5	1	no	—
812	#495	—	5	1	no	—
813	#495	—	5	1	no	—
814	#495	C₂×D₅	1	1	yes	characteristic
815	#494	—	5	1	no	—
816	#494	—	5	1	no	—
817	#492	—	5	1	no	—
818	#492	—	5	1	no	—
819	#492	—	5	1	no	—
820	#492	—	5	1	no	—
821	#492	—	5	1	no	—
822	#492	—	5	1	no	—
823	#464	—	5	1	no	—
824	#464	—	5	1	no	—
825	#464	—	5	1	no	—
826	#464	—	5	1	no	—
827	#464	—	5	1	no	—
828	#464	—	5	1	no	—
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	—	5	1	no	—
835	#464	C₂×D₅	1	1	yes	characteristic
836	#464	C₂×D₅	1	1	yes	characteristic, complemented
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	C₂×D₅	1	1	yes	characteristic, complemented
842	#463	C₂×D₅	1	1	yes	characteristic, complemented
843	#462	—	5	1	no	—
844	#462	—	5	1	no	—
845	#462	—	5	1	no	—
846	#462	—	5	1	no	—
847	#462	—	5	1	no	—
848	#461	—	5	1	no	—
849	#461	—	5	1	no	—
850	#461	—	5	1	no	—
851	#461	—	5	1	no	—
852	#461	—	5	1	no	—
853	#461	—	5	1	no	—
854	#461	—	5	1	no	—
855	#461	—	5	1	no	—
856	#461	—	5	1	no	—
857	#461	—	5	1	no	—
858	#461	—	5	1	no	—
859	#461	—	5	1	no	—
860	#461	C₂×D₅	1	1	yes	characteristic
861	#460	—	5	1	no	—
862	#460	—	5	1	no	—
863	#460	—	5	1	no	—
864	#460	—	5	1	no	—
865	#460	—	5	1	no	—
866	#460	—	5	1	no	—
867	#460	—	5	1	no	—
868	#460	—	5	1	no	—
869	#460	C₂×D₅	1	1	yes	characteristic
870	#459	—	5	1	no	—
871	#446	—	5	1	no	—
872	#446	—	5	1	no	—
873	#446	—	5	1	no	—
874	#446	—	5	1	no	—
875	#446	—	5	1	no	—
876	#446	C₂×D₅	1	1	yes	characteristic, complemented
877	C₈×Q₈	—	5	1	no	—
878	C₈×Q₈	—	5	1	no	—
879	#442	—	5	1	no	—
880	#442	C₂×D₅	1	1	yes	characteristic
881	#441	—	5	1	no	—
882	#441	—	5	1	no	—
883	#441	—	5	1	no	—
884	#441	C₂×D₅	1	1	yes	characteristic, complemented
885	#440	—	5	1	no	—
886	#440	—	5	1	no	—
887	#440	—	5	1	no	—
888	#440	—	5	1	no	—
889	#440	—	5	1	no	—
890	#440	—	5	1	no	—
891	C₄×Q₁₆	—	5	1	no	—
892	C₄×Q₁₆	—	5	1	no	—
893	C₄×Q₁₆	—	5	1	no	—
894	C₄×Q₁₆	—	5	1	no	—
895	C₄×SD₁₆	—	5	1	no	—
896	C₄×SD₁₆	—	5	1	no	—
897	C₄×SD₁₆	—	5	1	no	—
898	C₄×SD₁₆	—	5	1	no	—
899	C₄×SD₁₆	—	5	1	no	—
900	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
901	C₄×D₈	—	5	1	no	—
902	C₄×D₈	—	5	1	no	—
903	#428	—	5	1	no	—
904	#424	—	5	1	no	—
905	#424	—	5	1	no	—
906	C₂×C₄⋊C₈	—	5	1	no	—
907	#418	—	5	1	no	—
908	#417	—	5	1	no	—
909	#416	—	5	1	no	—
910	#416	—	5	1	no	—
911	C₂×#103	—	5	1	no	—
912	C₂×#103	—	5	1	no	—
913	#405	—	5	1	no	—
914	#405	—	5	1	no	—
915	C₄×M₁₆	—	5	1	no	—
916	C₂³×C₅	—	2	1	no	—
917	C₂³×C₅	—	2	1	no	—
918	C₂³×C₅	—	2	1	no	—
919	C₂²×D₅	—	2	1	no	—
920	C₂²×D₅	—	2	1	no	—
921	C₂²×D₅	—	4	2	no	—
922	C₂²×D₅	—	8	1	no	—
923	C₂²×D₅	—	8	1	no	—
924	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
925	C₅×Q₈	—	2	1	no	—
926	C₅×Q₈	—	2	1	no	—
927	C₅×Q₈	—	2	1	no	—
928	C₅×Q₈	—	2	1	no	—
929	C₅×Q₈	—	2	1	no	—
930	C₅×Q₈	—	2	1	no	—
931	C₅×Q₈	—	4	1	no	—
932	C₅×D₄	—	2	1	no	—
933	C₅×D₄	—	2	1	no	—
934	C₅×D₄	—	2	1	no	—
935	C₅×D₄	—	2	1	no	—
936	C₅×D₄	—	2	1	no	—
937	C₅×D₄	—	2	1	no	—
938	C₅×D₄	—	8	1	no	—
939	C₅×D₄	—	8	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	2	1	no	—
944	C₂×C₄×C₅	—	2	1	no	—
945	C₂×C₄×C₅	—	4	2	no	—
946	C₂×C₄×C₅	—	8	1	no	—
947	C₂×C₄×C₅	—	8	1	no	—
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
955	C₂²⋊D₅	—	4	2	no	—
956	C₂²⋊D₅	—	4	2	no	—
957	C₂²⋊D₅	—	4	2	no	—
958	C₂²⋊D₅	—	4	2	no	—
959	C₂²⋊D₅	—	8	1	no	—
960	C₂²⋊D₅	—	8	1	no	—
961	C₂²⋊D₅	—	8	1	no	—
962	C₂²⋊D₅	—	8	1	no	—
963	C₂²⋊D₅	—	8	1	no	—
964	C₂×Dic₅	—	2	1	no	—
965	C₂×Dic₅	—	2	1	no	—
966	C₂×Dic₅	—	2	1	no	—
967	C₂×Dic₅	—	2	1	no	—
968	C₂×Dic₅	—	2	1	no	—
969	C₂×Dic₅	—	2	1	no	—
970	C₂×Dic₅	—	4	2	no	—
971	C₂×Dic₅	—	4	2	no	—
972	C₂×Dic₅	—	4	2	no	—
973	C₂×Dic₅	—	4	2	no	—
974	C₂×Dic₅	—	8	1	no	—
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
979	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
980	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
982	D₂₀	—	2	1	no	—
983	D₂₀	—	2	1	no	—
984	D₂₀	—	2	1	no	—
985	D₂₀	—	2	1	no	—
986	D₂₀	—	4	2	no	—
987	D₂₀	—	8	1	no	—
988	D₂₀	—	8	1	no	—
989	C₄×D₅	—	2	2	no	—
990	C₄×D₅	—	4	1	no	—
991	C₄×D₅	—	4	2	no	—
992	C₄×D₅	—	4	2	no	—
993	C₄×D₅	—	4	2	no	—
994	C₄×D₅	—	4	2	no	—
995	C₄×D₅	—	8	1	no	—
996	C₄×D₅	—	8	1	no	—
997	C₄×D₅	—	8	1	no	—
998	C₄×D₅	—	8	1	no	—
999	C₄×D₅	C₂×#41	1	2	yes	—
1000	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1001	Dic₁₀	—	2	2	no	—
1002	Dic₁₀	—	2	2	no	—
1003	Dic₁₀	—	2	1	no	—
1004	Dic₁₀	—	2	1	no	—
1005	Dic₁₀	—	2	1	no	—
1006	Dic₁₀	—	2	1	no	—
1007	Dic₁₀	—	2	1	no	—
1008	Dic₁₀	—	2	1	no	—
1009	Dic₁₀	—	2	1	no	—
1010	Dic₁₀	—	2	1	no	—
1011	Dic₁₀	—	4	1	no	—
1012	Dic₁₀	—	4	2	no	—
1013	Dic₁₀	—	4	2	no	—
1014	C₅×C₈	—	2	1	no	—
1015	C₅×C₈	—	2	1	no	—
1016	C₅×C₈	—	2	1	no	—
1017	C₅×C₈	C₂×#41	1	2	yes	—
1018	#168	—	2	1	no	—
1019	#168	—	2	1	no	—
1020	#168	—	2	1	no	—
1021	#168	C₂×#41	1	2	yes	—
1022	C₂×#41	—	5	1	no	—
1023	C₂×#41	—	5	1	no	—
1024	C₂×#41	—	5	1	no	—
1025	C₂×#41	—	10	1	no	—
1026	C₂×#41	—	10	1	no	—
1027	C₂²×Q₈	—	5	1	no	—
1028	C₂²×Q₈	—	5	1	no	—
1029	C₂²×D₄	—	5	1	no	—
1030	C₂³×C₄	—	10	1	no	—
1031	#137	—	10	4	no	—
1032	#137	—	10	4	no	—
1033	#137	—	20	2	no	—
1034	#137	—	20	2	no	—
1035	AGL(1,ℤ/8)	—	10	4	no	—
1036	#135	—	20	2	no	—
1037	#135	—	20	2	no	—
1038	C₂×Q₁₆	—	5	1	no	—
1039	C₂×Q₁₆	—	5	1	no	—
1040	C₂×Q₁₆	—	5	1	no	—
1041	C₂×Q₁₆	—	5	1	no	—
1042	C₂×Q₁₆	—	5	1	no	—
1043	C₂×Q₁₆	—	5	1	no	—
1044	C₂×Q₁₆	—	5	1	no	—
1045	C₂×Q₁₆	—	5	1	no	—
1046	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1047	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1048	C₂×SD₁₆	—	5	1	no	—
1049	C₂×SD₁₆	—	5	1	no	—
1050	C₂×SD₁₆	—	5	1	no	—
1051	C₂×SD₁₆	—	5	1	no	—
1052	C₂×SD₁₆	—	5	1	no	—
1053	C₂×SD₁₆	—	5	1	no	—
1054	C₂×SD₁₆	—	5	1	no	—
1055	C₂×SD₁₆	—	5	1	no	—
1056	C₂×SD₁₆	—	5	1	no	—
1057	C₂×SD₁₆	—	5	1	no	—
1058	C₂×SD₁₆	—	5	1	no	—
1059	C₂×SD₁₆	—	5	1	no	—
1060	C₂×SD₁₆	—	5	1	no	—
1061	C₂×SD₁₆	—	5	1	no	—
1062	C₂×SD₁₆	—	5	1	no	—
1063	C₂×SD₁₆	—	5	1	no	—
1064	C₂×SD₁₆	—	5	1	no	—
1065	C₂×SD₁₆	—	20	2	no	—
1066	C₂×SD₁₆	—	20	2	no	—
1067	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1072	C₂×D₈	—	5	1	no	—
1073	C₂×D₈	—	5	1	no	—
1074	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1075	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1076	C₂×M₁₆	—	5	1	no	—
1077	C₂×M₁₆	—	5	1	no	—
1078	C₂²×C₈	—	5	1	no	—
1079	C₂²×C₈	—	5	1	no	—
1080	C₄⋊Q₈	—	5	1	no	—
1081	C₄⋊Q₈	—	5	1	no	—
1082	C₄⋊Q₈	—	5	1	no	—
1083	C₄⋊Q₈	—	5	1	no	—
1084	C₄⋊Q₈	—	5	1	no	—
1085	C₄⋊Q₈	—	5	1	no	—
1086	C₄⋊Q₈	—	5	1	no	—
1087	C₄⋊Q₈	—	5	1	no	—
1088	C₄⋊Q₈	—	5	1	no	—
1089	C₄⋊Q₈	—	5	1	no	—
1090	C₄⋊Q₈	—	10	1	no	—
1091	C₄⋊Q₈	—	10	1	no	—
1092	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1093	#127	—	5	1	no	—
1094	#127	—	5	1	no	—
1095	#127	—	5	1	no	—
1096	#127	—	5	1	no	—
1097	#127	C₂²×D₅	1	1	yes	characteristic
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	10	1	no	—
1101	#126	—	10	1	no	—
1102	#126	—	10	1	no	—
1103	#126	—	10	1	no	—
1104	#126	—	10	1	no	—
1105	#126	—	10	1	no	—
1106	#126	—	10	1	no	—
1107	#126	—	10	1	no	—
1108	#126	—	10	1	no	—
1109	#126	—	10	1	no	—
1110	#125	—	5	1	no	—
1111	#125	—	5	1	no	—
1112	#125	—	10	1	no	—
1113	#125	—	10	1	no	—
1114	#125	—	10	1	no	—
1115	#125	—	10	1	no	—
1116	#125	—	10	1	no	—
1117	#125	—	10	1	no	—
1118	#125	—	10	1	no	—
1119	#125	—	10	1	no	—
1120	#125	—	10	1	no	—
1121	#125	—	10	1	no	—
1122	#125	—	10	1	no	—
1123	#125	—	10	1	no	—
1124	#124	—	2	1	no	—
1125	#124	—	5	1	no	—
1126	#124	—	5	1	no	—
1127	#124	—	5	1	no	—
1128	#124	—	5	1	no	—
1129	#124	—	5	1	no	—
1130	#124	—	5	1	no	—
1131	#124	—	10	1	no	—
1132	#124	—	10	1	no	—
1133	#124	—	10	1	no	—
1134	#124	C₂²×D₅	1	1	yes	characteristic
1135	#124	C₂²×D₅	1	1	yes	characteristic
1136	#124	C₂²×D₅	1	1	yes	characteristic
1137	#124	C₂²×D₅	1	1	yes	characteristic
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	10	1	no	—
1141	#123	—	10	1	no	—
1142	#123	—	10	1	no	—
1143	#123	—	10	1	no	—
1144	#123	—	10	1	no	—
1145	#123	—	10	1	no	—
1146	#123	—	10	1	no	—
1147	#123	—	10	1	no	—
1148	#123	—	10	1	no	—
1149	#123	—	10	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	5	1	no	—
1152	C₂²⋊Q₈	—	5	1	no	—
1153	C₂²⋊Q₈	—	5	1	no	—
1154	C₂²⋊Q₈	—	5	1	no	—
1155	C₂²⋊Q₈	—	10	1	no	—
1156	C₂²⋊Q₈	—	10	1	no	—
1157	C₂²⋊Q₈	—	10	1	no	—
1158	C₂²⋊Q₈	—	10	1	no	—
1159	C₂²⋊Q₈	—	10	1	no	—
1160	C₂²⋊Q₈	—	10	1	no	—
1161	C₂²⋊Q₈	—	10	1	no	—
1162	C₂²⋊Q₈	—	10	1	no	—
1163	C₂²⋊Q₈	—	10	1	no	—
1164	#121	—	10	1	no	—
1165	#121	—	10	1	no	—
1166	#121	—	10	1	no	—
1167	#121	—	10	1	no	—
1168	#121	—	10	1	no	—
1169	#121	—	10	1	no	—
1170	#121	—	10	1	no	—
1171	#121	—	10	1	no	—
1172	#121	—	10	1	no	—
1173	#121	—	10	1	no	—
1174	#121	—	10	1	no	—
1175	#121	—	10	1	no	—
1176	#120	—	10	1	no	—
1177	#120	—	10	1	no	—
1178	#120	—	10	1	no	—
1179	#120	—	10	1	no	—
1180	C₄×Q₈	—	5	1	no	—
1181	C₄×Q₈	—	5	1	no	—
1182	C₄×Q₈	—	5	1	no	—
1183	C₄×Q₈	—	5	1	no	—
1184	C₄×Q₈	—	5	1	no	—
1185	C₄×Q₈	—	5	1	no	—
1186	C₄×Q₈	—	5	1	no	—
1187	C₄×Q₈	—	5	1	no	—
1188	C₄×Q₈	—	5	1	no	—
1189	C₄×Q₈	—	5	1	no	—
1190	C₄×Q₈	—	5	1	no	—
1191	C₄×Q₈	—	5	1	no	—
1192	C₄×Q₈	—	5	1	no	—
1193	C₄×Q₈	—	5	1	no	—
1194	C₄×Q₈	—	10	1	no	—
1195	C₄×Q₈	—	10	1	no	—
1196	C₄×Q₈	—	10	1	no	—
1197	C₄×Q₈	—	10	1	no	—
1198	C₄×Q₈	—	10	1	no	—
1199	C₄×Q₈	—	10	1	no	—
1200	C₄×Q₈	—	10	1	no	—
1201	C₄×Q₈	—	10	1	no	—
1202	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1203	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1204	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1205	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	5	1	no	—
1208	C₄×D₄	—	5	1	no	—
1209	C₄×D₄	—	5	1	no	—
1210	C₄×D₄	—	5	1	no	—
1211	C₄×D₄	—	5	1	no	—
1212	C₄×D₄	—	5	1	no	—
1213	C₄×D₄	—	5	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	—	10	1	no	—
1220	C₄×D₄	—	10	1	no	—
1221	C₄×D₄	—	10	1	no	—
1222	C₄×D₄	—	10	1	no	—
1223	C₄×D₄	—	10	1	no	—
1224	C₄×D₄	—	10	1	no	—
1225	C₄×D₄	—	10	1	no	—
1226	C₄×D₄	—	10	1	no	—
1227	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1228	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1229	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1230	#117	—	2	1	no	—
1231	#117	—	5	1	no	—
1232	#117	—	5	1	no	—
1233	#117	—	5	1	no	—
1234	#117	—	10	1	no	—
1235	#117	—	10	1	no	—
1236	#117	—	10	1	no	—
1237	#117	—	10	1	no	—
1238	#117	—	10	1	no	—
1239	#117	—	10	1	no	—
1240	#117	—	10	1	no	—
1241	#117	—	10	1	no	—
1242	#117	—	10	1	no	—
1243	#117	—	10	1	no	—
1244	#117	—	10	1	no	—
1245	#117	—	10	1	no	—
1246	C₂×C₄⋊C₄	—	5	1	no	—
1247	C₂×C₄⋊C₄	—	10	1	no	—
1248	C₂×C₄⋊C₄	—	10	1	no	—
1249	C₂×C₄⋊C₄	—	10	1	no	—
1250	C₂×C₄⋊C₄	—	10	1	no	—
1251	C₂×C₂²⋊C₄	—	10	1	no	—
1252	C₂×C₄²	—	5	1	no	—
1253	C₂×C₄²	—	10	1	no	—
1254	#107	—	5	1	no	—
1255	#107	—	5	1	no	—
1256	#106	—	5	1	no	—
1257	#106	C₂²×D₅	1	1	yes	characteristic
1258	C₄⋊C₈	—	5	1	no	—
1259	C₄⋊C₈	—	5	1	no	—
1260	C₄⋊C₈	—	5	1	no	—
1261	C₄⋊C₈	—	5	1	no	—
1262	C₄⋊C₈	—	5	1	no	—
1263	C₄⋊C₈	—	5	1	no	—
1264	C₄⋊C₈	—	5	1	no	—
1265	C₄⋊C₈	—	5	1	no	—
1266	C₄⋊C₈	—	5	1	no	—
1267	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1268	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1269	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	—	5	1	no	—
1274	#103	—	5	1	no	—
1275	#103	—	5	1	no	—
1276	#103	—	5	1	no	—
1277	#103	—	5	1	no	—
1278	#103	—	5	1	no	—
1279	#103	—	5	1	no	—
1280	#103	—	5	1	no	—
1281	#103	C₂²×D₅	1	1	yes	characteristic
1282	#103	C₂²×D₅	1	1	yes	characteristic
1283	#103	C₂²×D₅	1	1	yes	characteristic
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	—	5	1	no	—
1287	#102	—	5	1	no	—
1288	#102	—	5	1	no	—
1289	#102	—	5	1	no	—
1290	#102	—	5	1	no	—
1291	#102	C₂²×D₅	1	1	yes	characteristic
1292	#102	C₂²×D₅	1	1	yes	characteristic
1293	#102	C₂²×D₅	1	1	yes	characteristic
1294	#97	—	5	1	no	—
1295	#97	—	5	1	no	—
1296	#97	—	5	1	no	—
1297	#97	—	5	1	no	—
1298	#97	C₂²×D₅	1	1	yes	characteristic
1299	#97	C₂²×D₅	1	1	yes	characteristic
1300	C₄×C₈	—	5	1	no	—
1301	C₄×C₈	—	5	1	no	—
1302	C₄×C₈	—	5	1	no	—
1303	C₄×C₈	—	5	1	no	—
1304	C₄×C₈	—	5	1	no	—
1305	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1306	C₂²×C₅	—	4	1	no	—
1307	C₂²×C₅	—	4	1	no	—
1308	C₂²×C₅	—	4	1	no	—
1309	C₂²×C₅	—	4	1	no	—
1310	C₂²×C₅	—	4	1	no	—
1311	C₂²×C₅	—	4	1	no	—
1312	C₂²×C₅	—	4	1	no	—
1313	C₂²×C₅	—	4	1	no	—
1314	C₂²×C₅	—	4	1	no	—
1315	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1316	C₂×D₅	—	2	1	no	—
1317	C₂×D₅	—	2	1	no	—
1318	C₂×D₅	—	4	1	no	—
1319	C₂×D₅	—	4	1	no	—
1320	C₂×D₅	—	4	1	no	—
1321	C₂×D₅	—	4	1	no	—
1322	C₂×D₅	—	4	1	no	—
1323	C₂×D₅	—	4	1	no	—
1324	C₂×D₅	—	8	4	no	—
1325	C₂×D₅	#550	1	2	yes	—
1326	C₄×C₅	—	2	1	no	—
1327	C₄×C₅	—	2	1	no	—
1328	C₄×C₅	—	2	1	no	—
1329	C₄×C₅	—	2	1	no	—
1330	C₄×C₅	—	2	1	no	—
1331	C₄×C₅	—	2	1	no	—
1332	C₄×C₅	—	4	1	no	—
1333	C₄×C₅	—	4	1	no	—
1334	C₄×C₅	—	4	1	no	—
1335	C₄×C₅	—	4	1	no	—
1336	C₄×C₅	—	4	1	no	—
1337	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1338	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1339	Dic₅	—	2	1	no	—
1340	Dic₅	—	2	1	no	—
1341	Dic₅	—	2	1	no	—
1342	Dic₅	—	2	1	no	—
1343	Dic₅	—	2	1	no	—
1344	Dic₅	—	4	1	no	—
1345	Dic₅	—	4	1	no	—
1346	Dic₅	—	4	1	no	—
1347	Dic₅	—	4	1	no	—
1348	Dic₅	—	4	1	no	—
1349	Dic₅	—	4	1	no	—
1350	Dic₅	#550	1	2	yes	—
1351	Dic₅	#577	1	2	yes	—
1352	C₂⁴	—	10	1	no	—
1353	#41	—	10	2	no	—
1354	#41	—	10	2	no	—
1355	#41	—	10	2	no	—
1356	#41	—	10	2	no	—
1357	#41	—	10	2	no	—
1358	#41	—	10	2	no	—
1359	#41	—	40	2	no	—
1360	#41	—	40	2	no	—
1361	C₂×Q₈	—	5	1	no	—
1362	C₂×Q₈	—	5	1	no	—
1363	C₂×Q₈	—	5	1	no	—
1364	C₂×Q₈	—	5	1	no	—
1365	C₂×Q₈	—	5	1	no	—
1366	C₂×Q₈	—	5	1	no	—
1367	C₂×Q₈	—	5	1	no	—
1368	C₂×Q₈	—	10	1	no	—
1369	C₂×Q₈	—	10	1	no	—
1370	C₂×Q₈	—	10	2	no	—
1371	C₂×Q₈	—	10	2	no	—
1372	C₂×Q₈	—	10	2	no	—
1373	C₂×Q₈	—	10	2	no	—
1374	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1375	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1376	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1377	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	5	1	no	—
1381	C₂×D₄	—	5	1	no	—
1382	C₂×D₄	—	10	1	no	—
1383	C₂×D₄	—	10	2	no	—
1384	C₂×D₄	—	10	2	no	—
1385	C₂×D₄	—	10	1	no	—
1386	C₂×D₄	—	10	1	no	—
1387	C₂×D₄	—	10	1	no	—
1388	C₂×D₄	—	10	1	no	—
1389	C₂×D₄	—	10	1	no	—
1390	C₂×D₄	—	10	1	no	—
1391	C₂×D₄	—	10	1	no	—
1392	C₂×D₄	—	10	1	no	—
1393	C₂×D₄	—	10	1	no	—
1394	C₂×D₄	—	10	1	no	—
1395	C₂×D₄	—	10	1	no	—
1396	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1397	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1398	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	5	1	no	—
1403	C₂²×C₄	—	5	1	no	—
1404	C₂²×C₄	—	5	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	10	1	no	—
1407	C₂²×C₄	—	10	1	no	—
1408	C₂²×C₄	—	10	1	no	—
1409	C₂²×C₄	—	10	1	no	—
1410	C₂²×C₄	—	10	1	no	—
1411	C₂²×C₄	—	10	1	no	—
1412	C₂²×C₄	—	10	1	no	—
1413	C₂²×C₄	—	10	1	no	—
1414	C₂²×C₄	—	10	1	no	—
1415	C₂²×C₄	—	10	1	no	—
1416	C₂²×C₄	—	10	1	no	—
1417	C₂²×C₄	—	10	1	no	—
1418	C₂²×C₄	—	40	2	no	—
1419	Q₁₆	—	2	2	no	—
1420	Q₁₆	—	4	1	no	—
1421	Q₁₆	—	10	2	no	—
1422	Q₁₆	—	10	2	no	—
1423	Q₁₆	—	10	2	no	—
1424	Q₁₆	—	20	1	no	—
1425	Q₁₆	—	20	1	no	—
1426	Q₁₆	—	20	1	no	—
1427	Q₁₆	—	20	1	no	—
1428	Q₁₆	—	20	1	no	—
1429	SD₁₆	—	2	2	no	—
1430	SD₁₆	—	4	1	no	—
1431	SD₁₆	—	4	1	no	—
1432	SD₁₆	—	4	1	no	—
1433	SD₁₆	—	4	1	no	—
1434	SD₁₆	—	10	2	no	—
1435	SD₁₆	—	10	2	no	—
1436	SD₁₆	—	10	2	no	—
1437	SD₁₆	—	10	2	no	—
1438	SD₁₆	—	10	2	no	—
1439	SD₁₆	—	20	1	no	—
1440	SD₁₆	—	20	1	no	—
1441	SD₁₆	—	20	1	no	—
1442	SD₁₆	—	20	1	no	—
1443	SD₁₆	—	20	1	no	—
1444	SD₁₆	—	20	1	no	—
1445	SD₁₆	—	20	1	no	—
1446	SD₁₆	—	20	1	no	—
1447	SD₁₆	—	20	1	no	—
1448	SD₁₆	—	20	1	no	—
1449	SD₁₆	—	20	1	no	—
1450	SD₁₆	—	20	1	no	—
1451	D₈	—	2	2	no	—
1452	D₈	—	4	1	no	—
1453	D₈	—	10	2	no	—
1454	D₈	—	20	1	no	—
1455	M₁₆	—	5	4	no	—
1456	M₁₆	—	10	2	no	—
1457	C₂×C₈	—	5	1	no	—
1458	C₂×C₈	—	5	1	no	—
1459	C₂×C₈	—	5	1	no	—
1460	C₂×C₈	—	5	1	no	—
1461	C₂×C₈	—	10	2	no	—
1462	C₂×C₈	—	10	2	no	—
1463	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1464	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1465	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1466	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	5	1	no	—
1473	C₄⋊C₄	—	5	1	no	—
1474	C₄⋊C₄	—	5	1	no	—
1475	C₄⋊C₄	—	5	1	no	—
1476	C₄⋊C₄	—	5	1	no	—
1477	C₄⋊C₄	—	5	1	no	—
1478	C₄⋊C₄	—	5	1	no	—
1479	C₄⋊C₄	—	5	1	no	—
1480	C₄⋊C₄	—	5	1	no	—
1481	C₄⋊C₄	—	5	1	no	—
1482	C₄⋊C₄	—	5	1	no	—
1483	C₄⋊C₄	—	5	1	no	—
1484	C₄⋊C₄	—	5	1	no	—
1485	C₄⋊C₄	—	5	1	no	—
1486	C₄⋊C₄	—	5	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	—	10	1	no	—
1496	C₄⋊C₄	—	10	1	no	—
1497	C₄⋊C₄	—	10	1	no	—
1498	C₄⋊C₄	—	10	1	no	—
1499	C₄⋊C₄	—	10	1	no	—
1500	C₄⋊C₄	—	10	1	no	—
1501	C₄⋊C₄	—	10	1	no	—
1502	C₄⋊C₄	—	10	1	no	—
1503	C₄⋊C₄	—	10	1	no	—
1504	C₄⋊C₄	—	10	1	no	—
1505	C₄⋊C₄	—	10	1	no	—
1506	C₄⋊C₄	—	10	1	no	—
1507	C₄⋊C₄	—	10	1	no	—
1508	C₄⋊C₄	—	10	1	no	—
1509	C₄⋊C₄	—	10	1	no	—
1510	C₄⋊C₄	—	10	1	no	—
1511	C₄⋊C₄	—	10	1	no	—
1512	C₄⋊C₄	—	10	1	no	—
1513	C₄⋊C₄	—	10	1	no	—
1514	C₄⋊C₄	—	10	1	no	—
1515	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1516	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1517	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1518	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1519	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	5	1	no	—
1532	C₂²⋊C₄	—	5	1	no	—
1533	C₂²⋊C₄	—	5	1	no	—
1534	C₂²⋊C₄	—	5	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₂²⋊C₄	—	10	1	no	—
1541	C₂²⋊C₄	—	10	1	no	—
1542	C₂²⋊C₄	—	10	1	no	—
1543	C₂²⋊C₄	—	10	1	no	—
1544	C₂²⋊C₄	—	10	1	no	—
1545	C₂²⋊C₄	—	10	1	no	—
1546	C₂²⋊C₄	—	10	1	no	—
1547	C₂²⋊C₄	—	10	1	no	—
1548	C₂²⋊C₄	—	10	1	no	—
1549	C₂²⋊C₄	—	10	1	no	—
1550	C₂²⋊C₄	—	10	1	no	—
1551	C₂²⋊C₄	—	10	1	no	—
1552	C₂²⋊C₄	—	10	1	no	—
1553	C₂²⋊C₄	—	10	1	no	—
1554	C₂²⋊C₄	—	10	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	5	1	no	—
1559	C₄²	—	5	1	no	—
1560	C₄²	—	5	1	no	—
1561	C₄²	—	5	1	no	—
1562	C₄²	—	5	1	no	—
1563	C₄²	—	10	1	no	—
1564	C₄²	—	10	1	no	—
1565	C₄²	—	10	1	no	—
1566	C₄²	—	10	1	no	—
1567	C₄²	—	10	1	no	—
1568	C₄²	—	10	1	no	—
1569	C₄²	—	10	1	no	—
1570	C₄²	—	10	1	no	—
1571	C₄²	—	10	1	no	—
1572	C₄²	—	10	1	no	—
1573	C₄²	—	10	1	no	—
1574	C₄²	—	10	1	no	—
1575	C₄²	C₂³×D₅	1	1	yes	characteristic
1576	C₄²	C₂³×D₅	1	1	yes	characteristic
1577	C₄²	C₂³×D₅	1	1	yes	characteristic
1578	C₂×C₅	—	8	1	no	—
1579	C₂×C₅	—	8	1	no	—
1580	C₂×C₅	—	8	1	no	—
1581	C₂×C₅	C₂×#550	1	1	yes	characteristic
1582	C₂×C₅	C₂×#577	1	1	yes	characteristic
1583	C₂×C₅	#3586	1	1	yes	characteristic
1584	D₅	—	2	2	no	—
1585	D₅	—	8	1	no	—
1586	D₅	—	8	1	no	—
1587	C₂³	—	2	1	no	—
1588	C₂³	—	2	1	no	—
1589	C₂³	—	2	1	no	—
1590	C₂³	—	5	1	no	—
1591	C₂³	—	10	1	no	—
1592	C₂³	—	10	1	no	—
1593	C₂³	—	20	2	no	—
1594	C₂³	—	40	1	no	—
1595	C₂³	—	40	1	no	—
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	2	1	no	—
1600	Q₈	—	2	1	no	—
1601	Q₈	—	2	1	no	—
1602	Q₈	—	4	1	no	—
1603	Q₈	—	10	2	no	—
1604	Q₈	—	10	2	no	—
1605	Q₈	—	10	1	no	—
1606	Q₈	—	10	1	no	—
1607	Q₈	—	10	1	no	—
1608	Q₈	—	10	1	no	—
1609	Q₈	—	10	1	no	—
1610	Q₈	—	10	1	no	—
1611	Q₈	—	10	1	no	—
1612	Q₈	—	10	1	no	—
1613	Q₈	—	20	1	no	—
1614	Q₈	—	20	2	no	—
1615	Q₈	—	20	2	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	2	1	no	—
1619	D₄	—	2	1	no	—
1620	D₄	—	2	1	no	—
1621	D₄	—	2	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	10	1	no	—
1625	D₄	—	10	1	no	—
1626	D₄	—	10	1	no	—
1627	D₄	—	10	1	no	—
1628	D₄	—	20	2	no	—
1629	D₄	—	20	2	no	—
1630	D₄	—	20	2	no	—
1631	D₄	—	20	2	no	—
1632	D₄	—	20	2	no	—
1633	D₄	—	40	1	no	—
1634	D₄	—	40	1	no	—
1635	D₄	—	40	1	no	—
1636	D₄	—	40	1	no	—
1637	D₄	—	40	1	no	—
1638	D₄	—	40	1	no	—
1639	D₄	—	40	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	5	1	no	—
1647	C₂×C₄	—	5	1	no	—
1648	C₂×C₄	—	5	2	no	—
1649	C₂×C₄	—	5	2	no	—
1650	C₂×C₄	—	5	1	no	—
1651	C₂×C₄	—	5	1	no	—
1652	C₂×C₄	—	5	1	no	—
1653	C₂×C₄	—	5	1	no	—
1654	C₂×C₄	—	5	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	10	2	no	—
1658	C₂×C₄	—	10	1	no	—
1659	C₂×C₄	—	10	1	no	—
1660	C₂×C₄	—	10	1	no	—
1661	C₂×C₄	—	10	1	no	—
1662	C₂×C₄	—	10	1	no	—
1663	C₂×C₄	—	10	1	no	—
1664	C₂×C₄	—	20	1	no	—
1665	C₂×C₄	—	20	2	no	—
1666	C₂×C₄	—	20	2	no	—
1667	C₂×C₄	—	20	2	no	—
1668	C₂×C₄	—	20	2	no	—
1669	C₂×C₄	—	20	2	no	—
1670	C₂×C₄	—	20	2	no	—
1671	C₂×C₄	—	20	2	no	—
1672	C₂×C₄	—	20	2	no	—
1673	C₂×C₄	—	40	1	no	—
1674	C₂×C₄	—	40	1	no	—
1675	C₂×C₄	—	40	1	no	—
1676	C₂×C₄	—	40	1	no	—
1677	C₂×C₄	—	40	1	no	—
1678	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1679	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1680	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1681	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1682	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1683	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1684	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1685	C₈	—	2	1	no	—
1686	C₈	—	2	1	no	—
1687	C₈	—	2	1	no	—
1688	C₈	—	5	2	no	—
1689	C₈	—	10	1	no	—
1690	C₈	—	10	1	no	—
1691	C₈	—	10	1	no	—
1692	C₈	D₅×#41	1	2	yes	—
1693	C₅	#61420	1	1	yes	characteristic, complemented, Sylow
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	5	2	no	—
1704	C₂²	—	10	1	no	—
1705	C₂²	—	10	1	no	—
1706	C₂²	—	20	1	no	—
1707	C₂²	—	20	1	no	—
1708	C₂²	—	20	1	no	—
1709	C₂²	—	20	1	no	—
1710	C₂²	—	20	1	no	—
1711	C₂²	—	20	1	no	—
1712	C₂²	—	40	4	no	—
1713	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	1	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	5	2	no	—
1726	C₄	—	5	2	no	—
1727	C₄	—	10	1	no	—
1728	C₄	—	10	1	no	—
1729	C₄	—	10	1	no	—
1730	C₄	—	10	1	no	—
1731	C₄	—	10	1	no	—
1732	C₄	—	20	1	no	—
1733	C₄	—	20	1	no	—
1734	C₄	—	20	1	no	—
1735	C₄	—	20	1	no	—
1736	C₄	—	20	1	no	—
1737	C₄	—	20	1	no	—
1738	C₄	C₂×D₅×#41	1	1	yes	characteristic
1739	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1740	C₂	—	8	1	no	—
1741	C₂	—	8	1	no	—
1742	C₂	—	8	1	no	—
1743	C₂	—	10	2	no	—
1744	C₂	—	40	1	no	—
1745	C₂	—	40	1	no	—
1746	C₂	D₅×#550	1	1	yes	characteristic
1747	C₂	#10619102	1	1	yes	characteristic
1748	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3401	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3401	D₅
hypocenter	C₅	#61420
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3401

Complements

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

N	H ≅ G/N	type
1. #10618964	C₂	semidirect
2. #10618884	C₂	semidirect
3. C₅×#3401	C₂	semidirect
4. #10615452	C₂	semidirect
5. #10615403	C₂	semidirect
6. #10613601	C₂	semidirect
7. #10613596	C₂	semidirect
8. #10613578	C₂	semidirect
9. #10613570	C₂	semidirect
10. #10613553	C₂	semidirect
11. #10613544	C₂	semidirect
12. #10612334	C₂	semidirect
13. #10612331	C₂	semidirect
14. #10612321	C₂	semidirect
15. #10612319	C₂	semidirect
16. #10612270	C₂	semidirect
17. #10612264	C₂	semidirect
18. #10612259	C₂	semidirect
19. #10612257	C₂	semidirect
20. D₅×#461	C₂	semidirect
21. #10612154	C₂	semidirect
22. #10612116	C₂	semidirect
23. #10612109	C₂	semidirect
24. #10611692	C₂	semidirect
25. #10611684	C₂	semidirect
26. #10611596	C₂	semidirect
27. #10611589	C₂	semidirect
28. #10611561	C₂	semidirect
29. #10611552	C₂	semidirect
30. #10611379	C₂	semidirect
31. #10611368	C₂	semidirect
33. C₅×#556	C₂²	semidirect
44. #66055	C₂²	semidirect
57. #66005	C₂²	semidirect
58. #66005	C₂²	semidirect
72. #65904	C₂²	semidirect
74. #65901	C₂²	semidirect
75. #65901	C₂²	semidirect
81. #65876	C₂²	semidirect
86. C₅×#497	C₂²	semidirect
90. C₅×#464	C₂²	semidirect
91. C₅×#463	C₂²	semidirect
92. C₅×#463	C₂²	semidirect
95. C₅×#446	C₂²	semidirect
97. C₅×#441	C₂²	semidirect
98. C₄×C₅×SD₁₆	C₂²	semidirect
101. Q₁₆×Dic₅	C₂²	semidirect
102. #65471	C₂²	semidirect
103. #65470	C₂²	semidirect
104. #65470	C₂²	semidirect
107. #65464	C₂²	semidirect
108. #65464	C₂²	semidirect
112. #65455	C₂²	semidirect
113. #65453	C₂²	semidirect
118. #65451	C₂²	semidirect
119. #65451	C₂²	semidirect
123. #65442	C₂²	semidirect
124. #65439	C₂²	semidirect
126. #65375	C₂²	semidirect
131. #65349	C₂²	semidirect
134. #65346	C₂²	semidirect
136. #65343	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65320	C₂²	semidirect
139. #65319	C₂²	semidirect
140. C₄×#689	C₂²	semidirect
143. C₄×#688	C₂²	semidirect
144. #65313	C₂²	semidirect
146. #65308	C₂²	semidirect
148. #65307	C₂²	semidirect
149. #65305	C₂²	semidirect
152. #65142	C₂²	semidirect
154. #65141	C₂²	semidirect
155. #65138	C₂²	semidirect
158. #65134	C₂²	semidirect
160. #65130	C₂²	semidirect
164. #65119	C₂²	semidirect
165. #65117	C₂²	semidirect
166. #65117	C₂²	semidirect
169. #65107	C₂²	semidirect
170. #65106	C₂²	semidirect
175. #65082	C₂²	semidirect
176. #65082	C₂²	semidirect
177. #65079	C₂²	semidirect
178. #65078	C₂²	semidirect
179. #65076	C₂²	semidirect
184. #65056	C₂²	semidirect
187. #65051	C₂²	semidirect
189. #65047	C₂²	semidirect
192. #65004	C₂²	semidirect
194. #64999	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
493. #3401	D₅	semidirect
742. #676	#41	semidirect
767. #556	C₂×D₅	semidirect
806. #497	C₂×D₅	semidirect
836. #464	C₂×D₅	semidirect
841. #463	C₂×D₅	semidirect
842. #463	C₂×D₅	semidirect
876. #446	C₂×D₅	semidirect
884. #441	C₂×D₅	semidirect
900. C₄×SD₁₆	C₂×D₅	semidirect
1693. C₅	#61420	semidirect

Maximal subgroups

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

subgroup	index
#10618964	2
#10618884	2
C₅×#3401	2
#10615452	2
#10615403	2
#10613601	2
#10613596	2
#10613578	2
#10613570	2
#10613553	2
#10613544	2
#10612334	2
#10612331	2
#10612321	2
#10612319	2
#10612270	2
#10612264	2
#10612259	2
#10612257	2
D₅×#461	2
#10612154	2
#10612116	2
#10612109	2
#10611692	2
#10611684	2
#10611596	2
#10611589	2
#10611561	2
#10611552	2
#10611379	2
#10611368	2
#61420	5