Subgroups — #12992920

Order 1280.

1828 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618677	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618632	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3271	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615720	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615702	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615650	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615633	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615314	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615269	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613580	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613572	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612605	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612590	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612420	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612378	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612313	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612108	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612097	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611973	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611950	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611857	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611837	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611811	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611806	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611790	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611780	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611564	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611546	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611244	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611195	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#137	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₅×#135	C₂²	1	1	yes	characteristic
34	C₅×#550	C₂²	1	1	yes	characteristic, complemented
35	C₅×#548	C₂²	1	1	yes	characteristic
36	#66165	C₂²	1	1	yes	characteristic
37	#66165	C₂²	1	1	yes	characteristic
38	#66163	C₂²	1	1	yes	characteristic
39	#66161	C₂²	1	1	yes	characteristic, complemented
40	#66161	C₂²	1	1	yes	characteristic, complemented
41	#66159	C₂²	1	1	yes	characteristic
42	C₂×#4097	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4096	C₂²	1	1	yes	characteristic
44	#66150	C₂²	1	1	yes	characteristic
45	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
46	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
47	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
48	#66050	—	2	1	no	—
49	#66050	C₂²	1	1	yes	characteristic
50	#66047	—	2	1	no	—
51	#66047	C₂²	1	1	yes	characteristic, complemented
52	#66013	—	2	1	no	—
53	D₅×#124	C₂²	1	1	yes	characteristic
54	#66005	C₂²	1	1	yes	characteristic
55	#66003	—	2	1	no	—
56	#65980	—	2	1	no	—
57	#65977	C₂²	1	1	yes	characteristic
58	#65968	—	2	1	no	—
59	#65966	C₂²	1	1	yes	characteristic
60	#65955	—	2	1	no	—
61	#65947	—	2	1	no	—
62	#65946	C₂²	1	1	yes	characteristic
63	#65945	—	2	1	no	—
64	#65945	—	2	1	no	—
65	#65945	C₂²	1	1	yes	characteristic
66	#65945	C₂²	1	1	yes	characteristic
67	#65937	—	2	1	no	—
68	#65937	—	2	1	no	—
69	#65937	C₂²	1	1	yes	characteristic
70	#65937	C₂²	1	1	yes	characteristic, complemented
71	#65937	C₂²	1	1	yes	characteristic, complemented
72	#65912	C₂²	1	1	yes	characteristic
73	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
74	#65902	C₂²	1	1	yes	characteristic
75	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
76	#65895	—	2	1	no	—
77	#65891	—	2	1	no	—
78	#65891	C₂²	1	1	yes	characteristic
79	#65890	—	2	1	no	—
80	#65886	C₂²	1	1	yes	characteristic
81	#65877	—	2	1	no	—
82	#65877	C₂²	1	1	yes	characteristic, complemented
83	C₅×#496	C₂²	1	1	yes	characteristic
84	C₅×#469	C₂²	1	1	yes	characteristic
85	C₅×#465	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#460	C₂²	1	1	yes	characteristic, complemented
88	C₅×#452	C₂²	1	1	yes	characteristic, complemented
89	C₅×#449	C₂²	1	1	yes	characteristic
90	C₅×#449	C₂²	1	1	yes	characteristic
91	C₅×#448	C₂²	1	1	yes	characteristic, complemented
92	C₅×#441	C₂²	1	1	yes	characteristic, complemented
93	C₅×#435	C₂²	1	1	yes	characteristic, complemented
94	#65528	C₂²	1	1	yes	characteristic
95	#65528	C₂²	1	1	yes	characteristic, complemented
96	#65527	C₂²	1	1	yes	characteristic
97	#65521	C₂²	1	1	yes	characteristic
98	#65517	C₂²	1	1	yes	characteristic, complemented
99	C₂×#3967	C₂²	1	1	yes	characteristic, complemented
100	#65475	C₂²	1	1	yes	characteristic
101	#65474	C₂²	1	1	yes	characteristic
102	#65474	C₂²	1	1	yes	characteristic
103	#65473	C₂²	1	1	yes	characteristic, complemented
104	#65471	C₂²	1	1	yes	characteristic, complemented
105	#65471	C₂²	1	1	yes	characteristic, complemented
106	#65471	C₂²	1	1	yes	characteristic, complemented
107	#65460	C₂²	1	1	yes	characteristic
108	#65460	C₂²	1	1	yes	characteristic
109	#65459	C₂²	1	1	yes	characteristic
110	#65459	C₂²	1	1	yes	characteristic
111	#65457	C₂²	1	1	yes	characteristic
112	#65456	C₂²	1	1	yes	characteristic, complemented
113	#65456	C₂²	1	1	yes	characteristic, complemented
114	#65455	C₂²	1	1	yes	characteristic
115	#65455	C₂²	1	1	yes	characteristic
116	#65455	C₂²	1	1	yes	characteristic, complemented
117	#65454	C₂²	1	1	yes	characteristic
118	#65454	C₂²	1	1	yes	characteristic
119	#65454	C₂²	1	1	yes	characteristic
120	#65451	C₂²	1	1	yes	characteristic, complemented
121	#65451	C₂²	1	1	yes	characteristic, complemented
122	#65451	C₂²	1	1	yes	characteristic, complemented
123	#65451	C₂²	1	1	yes	characteristic, complemented
124	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
125	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
126	#65445	C₂²	1	1	yes	characteristic
127	#65445	C₂²	1	1	yes	characteristic
128	#65444	C₂²	1	1	yes	characteristic
129	#65442	C₂²	1	1	yes	characteristic
130	#65442	C₂²	1	1	yes	characteristic
131	#65442	C₂²	1	1	yes	characteristic
132	#65442	C₂²	1	1	yes	characteristic
133	#65441	C₂²	1	1	yes	characteristic
134	#65426	C₂²	1	1	yes	characteristic, complemented
135	#65422	C₂²	1	1	yes	characteristic
136	#65416	C₂²	1	1	yes	characteristic
137	#65408	C₂²	1	1	yes	characteristic, complemented
138	#65403	C₂²	1	1	yes	characteristic
139	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
140	C₂×#3948	C₂²	1	1	yes	characteristic, complemented
141	#65391	C₂²	1	1	yes	characteristic, complemented
142	#65364	C₂²	1	1	yes	characteristic, complemented
143	#65363	C₂²	1	1	yes	characteristic
144	#65344	C₂²	1	1	yes	characteristic
145	#65343	C₂²	1	1	yes	characteristic
146	#65341	C₂²	1	1	yes	characteristic, complemented
147	#65332	C₂²	1	1	yes	characteristic, complemented
148	#65330	C₂²	1	1	yes	characteristic
149	#65330	C₂²	1	1	yes	characteristic, complemented
150	#65329	C₂²	1	1	yes	characteristic, complemented
151	#65328	C₂²	1	1	yes	characteristic
152	#65326	C₂²	1	1	yes	characteristic
153	#65323	C₂²	1	1	yes	characteristic
154	#65319	C₂²	1	1	yes	characteristic, complemented
155	#65319	C₂²	1	1	yes	characteristic, complemented
156	#65317	C₂²	1	1	yes	characteristic
157	#65309	C₂²	1	1	yes	characteristic, complemented
158	#65300	C₂²	1	1	yes	characteristic, complemented
159	#65159	C₂²	1	1	yes	characteristic
160	#65151	C₂²	1	1	yes	characteristic
161	#65143	C₂²	1	1	yes	characteristic, complemented
162	#65143	C₂²	1	1	yes	characteristic, complemented
163	#65140	C₂²	1	1	yes	characteristic, complemented
164	#65134	C₂²	1	1	yes	characteristic
165	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65097	C₂²	1	1	yes	characteristic
168	#65094	C₂²	1	1	yes	characteristic
169	D₅×#103	C₂²	1	1	yes	characteristic
170	#65087	C₂²	1	1	yes	characteristic
171	#65084	C₂²	1	1	yes	characteristic
172	#65082	C₂²	1	1	yes	characteristic, complemented
173	#65081	C₂²	1	1	yes	characteristic, complemented
174	#65081	C₂²	1	1	yes	characteristic, complemented
175	#65080	C₂²	1	1	yes	characteristic, complemented
176	#65080	C₂²	1	1	yes	characteristic, complemented
177	#65078	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic
179	#65076	C₂²	1	1	yes	characteristic
180	#65074	C₂²	1	1	yes	characteristic
181	#65067	C₂²	1	1	yes	characteristic
182	#65067	C₂²	1	1	yes	characteristic
183	D₅×#102	C₂²	1	1	yes	characteristic
184	#65056	C₂²	1	1	yes	characteristic
185	#65056	C₂²	1	1	yes	characteristic, complemented
186	#65054	C₂²	1	1	yes	characteristic
187	#65050	C₂²	1	1	yes	characteristic
188	#65050	C₂²	1	1	yes	characteristic, complemented
189	#65050	C₂²	1	1	yes	characteristic, complemented
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	#65028	C₂²	1	1	yes	characteristic, complemented
192	#65024	C₂²	1	1	yes	characteristic
193	#65022	C₂²	1	1	yes	characteristic
194	#65017	C₂²	1	1	yes	characteristic
195	#65014	C₂²	1	1	yes	characteristic
196	#65010	C₂²	1	1	yes	characteristic, complemented
197	#65009	C₂²	1	1	yes	characteristic, complemented
198	#65009	C₂²	1	1	yes	characteristic, complemented
199	#65005	C₂²	1	1	yes	characteristic, complemented
200	#65003	C₂²	1	1	yes	characteristic
201	#64994	C₂²	1	1	yes	characteristic
202	#64990	C₂²	1	1	yes	characteristic, complemented
203	#62021	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×C₅×#41	C₂³	1	1	yes	characteristic
207	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
210	C₂×#711	—	2	1	no	—
211	C₂×#711	—	2	1	no	—
212	C₂×#711	—	2	1	no	—
213	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×#709	C₂³	1	1	yes	characteristic
215	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
216	C₅×#137	—	4	2	no	—
217	C₅×#135	—	4	2	no	—
218	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
228	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
229	C₅×#127	—	2	1	no	—
230	C₅×#127	C₂³	1	1	yes	characteristic
231	C₅×#124	—	2	1	no	—
232	C₅×#124	C₂³	1	1	yes	characteristic
233	C₅×C₂²⋊Q₈	—	2	1	no	—
234	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₅×#121	—	2	1	no	—
236	C₅×#121	—	2	1	no	—
237	C₅×#121	—	2	1	no	—
238	C₅×#121	C₂³	1	1	yes	characteristic
239	C₅×#121	C₂³	1	1	yes	characteristic
240	C₅×#121	C₂³	1	1	yes	characteristic
241	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
242	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
243	C₄×C₅×D₄	—	2	1	no	—
244	C₄×C₅×D₄	—	2	1	no	—
245	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
246	#4097	—	4	2	no	—
247	#4096	—	4	2	no	—
248	#4093	C₂³	1	1	yes	characteristic
249	#4093	C₂³	1	1	yes	characteristic
250	#4092	—	2	1	no	—
251	#4092	—	2	1	no	—
252	#4092	—	2	1	no	—
253	#4092	C₂³	1	1	yes	characteristic
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic
255	Q₈×Dic₅	C₂³	1	1	yes	characteristic
256	Q₈×Dic₅	C₂³	1	1	yes	characteristic
257	Q₈×Dic₅	C₂³	1	1	yes	characteristic
258	#4090	—	2	1	no	—
259	#4090	C₂³	1	1	yes	characteristic
260	#4090	C₂³	1	1	yes	characteristic
261	#4090	C₂³	1	1	yes	characteristic
262	C₂×#689	C₂³	1	1	yes	characteristic
263	C₂×#689	C₂³	1	1	yes	characteristic
264	C₂×#689	C₂³	1	1	yes	characteristic
265	C₂×#689	C₂³	1	1	yes	characteristic
266	C₂×#688	C₂³	1	1	yes	characteristic
267	#4085	—	2	1	no	—
268	#4085	—	2	1	no	—
269	#4084	—	2	1	no	—
270	#4084	—	2	1	no	—
271	#4084	—	2	1	no	—
272	#4084	—	2	1	no	—
273	#4084	D₄	1	1	yes	characteristic
274	#4084	C₂³	1	1	yes	characteristic
275	#4084	C₂³	1	1	yes	characteristic
276	#4083	—	2	1	no	—
277	#4083	—	2	1	no	—
278	#4082	—	2	1	no	—
279	#4082	—	2	1	no	—
280	#4082	—	2	1	no	—
281	#4082	—	2	1	no	—
282	#4082	—	2	1	no	—
283	#4082	—	2	1	no	—
284	#4082	—	2	1	no	—
285	#4082	D₄	1	1	yes	characteristic
286	#4082	C₂³	1	1	yes	characteristic
287	#4082	C₂³	1	1	yes	characteristic
288	#4082	C₂³	1	1	yes	characteristic
289	#4082	C₂³	1	1	yes	characteristic
290	#4081	—	2	1	no	—
291	#4081	—	2	1	no	—
292	#4081	—	2	1	no	—
293	#4081	—	2	1	no	—
294	#4081	—	2	1	no	—
295	#4081	—	2	1	no	—
296	#4081	—	2	1	no	—
297	#4081	—	2	1	no	—
298	#4081	—	2	1	no	—
299	D₄×Dic₅	—	2	1	no	—
300	D₄×Dic₅	—	2	1	no	—
301	D₄×Dic₅	—	2	1	no	—
302	D₄×Dic₅	—	2	1	no	—
303	D₄×Dic₅	—	2	1	no	—
304	D₄×Dic₅	—	2	1	no	—
305	D₄×Dic₅	—	2	1	no	—
306	D₄×Dic₅	C₂³	1	1	yes	characteristic
307	D₄×Dic₅	C₂³	1	1	yes	characteristic
308	D₄×Dic₅	C₂³	1	1	yes	characteristic
309	D₄×Dic₅	C₂³	1	1	yes	characteristic
310	D₄×Dic₅	C₂³	1	1	yes	characteristic
311	C₂×#687	C₂³	1	1	yes	characteristic
312	C₂×#687	C₂³	1	1	yes	characteristic
313	C₂×#687	C₂³	1	1	yes	characteristic
314	C₂×#687	C₂³	1	1	yes	characteristic
315	C₂×#687	C₂³	1	1	yes	characteristic
316	C₂×#686	C₂³	1	1	yes	characteristic
317	C₂×#686	C₂³	1	1	yes	characteristic
318	#4076	C₂³	1	1	yes	characteristic
319	#4075	—	2	1	no	—
320	#4075	—	2	1	no	—
321	#4075	—	2	1	no	—
322	C₄×C₂²⋊D₅	—	2	1	no	—
323	C₄×C₂²⋊D₅	—	2	1	no	—
324	C₄×C₂²⋊D₅	—	2	1	no	—
325	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
326	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
327	C₂×#685	—	2	1	no	—
328	#4072	—	2	1	no	—
329	#4072	—	2	1	no	—
330	#4072	C₂³	1	1	yes	characteristic
331	#4072	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊Dic₅	—	2	1	no	—
333	C₂×C₄⋊Dic₅	—	2	1	no	—
334	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
336	#4070	—	2	1	no	—
337	#4070	—	2	1	no	—
338	#4070	—	2	1	no	—
339	#4070	—	2	1	no	—
340	#4070	—	2	1	no	—
341	#4070	C₂³	1	1	yes	characteristic
342	#4070	C₂³	1	1	yes	characteristic
343	#4070	C₂³	1	1	yes	characteristic
344	C₂×#681	C₂³	1	1	yes	characteristic
345	C₂²×#168	C₂³	1	1	yes	characteristic
346	D₅×Q₁₆	—	4	2	no	—
347	D₅×SD₁₆	—	4	2	no	—
348	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
349	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
350	C₂×#677	C₂³	1	1	yes	characteristic
351	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
352	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
353	#4044	—	2	1	no	—
354	#4044	—	2	1	no	—
355	#4043	—	2	1	no	—
356	#4043	D₄	1	1	yes	characteristic
357	#4043	C₂³	1	1	yes	characteristic
358	#4042	—	2	1	no	—
359	#4042	—	2	1	no	—
360	#4042	—	2	1	no	—
361	#4042	—	2	1	no	—
362	#4039	C₂³	1	1	yes	characteristic
363	D₅×C₄⋊C₄	—	2	1	no	—
364	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	#4036	—	2	1	no	—
366	#4036	D₄	1	1	yes	characteristic
367	#4035	—	2	1	no	—
368	#4034	—	2	1	no	—
369	#4034	—	2	1	no	—
370	#4034	—	2	1	no	—
371	#4034	C₂³	1	1	yes	characteristic
372	#4034	C₂³	1	1	yes	characteristic
373	#4034	C₂³	1	1	yes	characteristic
374	#4033	—	2	1	no	—
375	#4033	C₂³	1	1	yes	characteristic
376	#4033	C₂³	1	1	yes	characteristic
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4029	D₄	1	1	yes	characteristic
386	#4029	D₄	1	1	yes	characteristic
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	#4025	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4025	D₄	1	1	yes	characteristic
398	#4025	D₄	1	1	yes	characteristic
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4024	—	2	1	no	—
403	#4024	—	2	1	no	—
404	#4024	—	2	1	no	—
405	#4024	—	2	1	no	—
406	#4024	—	2	1	no	—
407	#4024	—	2	1	no	—
408	#4023	—	2	1	no	—
409	#4022	—	2	1	no	—
410	#4021	C₂³	1	1	yes	characteristic
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	C₄²×D₅	—	2	1	no	—
414	C₄²×D₅	C₂³	1	1	yes	characteristic
415	#4015	—	2	1	no	—
416	#4015	C₂³	1	1	yes	characteristic
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	—	2	1	no	—
419	C₄×Dic₁₀	—	2	1	no	—
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#102	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3967	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	#3964	C₂³	1	1	yes	characteristic
446	C₂²⋊#168	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3952	C₂³	1	1	yes	characteristic
452	#3952	C₂³	1	1	yes	characteristic
453	#3949	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3949	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3948	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	#3948	C₂³	1	1	yes	characteristic
463	#3947	C₂³	1	1	yes	characteristic
464	#3947	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	#3946	C₂³	1	1	yes	characteristic
471	#3946	C₂³	1	1	yes	characteristic
472	#3946	C₂³	1	1	yes	characteristic
473	C₈×Dic₅	C₂³	1	1	yes	characteristic
474	C₈×Dic₅	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	#3940	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	#3935	C₂³	1	1	yes	characteristic
485	#3561	—	5	1	no	—
486	#3522	—	5	1	no	—
487	#3401	—	5	1	no	—
488	#3401	—	5	1	no	—
489	#3369	—	5	1	no	—
490	#3369	—	5	1	no	—
491	#3316	—	5	1	no	—
492	#3316	—	5	1	no	—
493	#3306	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3298	—	5	1	no	—
496	#3298	—	5	1	no	—
497	#3282	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3271	—	5	1	no	—
500	#3271	D₅	1	1	yes	characteristic, complemented
501	#3270	—	5	1	no	—
502	#3270	—	5	1	no	—
503	#3263	—	5	1	no	—
504	#3263	—	5	1	no	—
505	#3246	—	5	1	no	—
506	#3225	—	5	1	no	—
507	#3225	—	5	1	no	—
508	#3213	—	5	1	no	—
509	#3125	—	5	1	no	—
510	#3125	—	5	1	no	—
511	#3113	—	5	1	no	—
512	#3046	—	5	1	no	—
513	#3046	—	5	1	no	—
514	C₂×#464	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₅×#41	—	2	2	no	—
518	C₅×#41	—	2	2	no	—
519	C₅×#41	—	4	1	no	—
520	C₅×#41	—	4	1	no	—
521	C₅×#41	—	4	1	no	—
522	C₅×#41	—	4	1	no	—
523	C₂×C₅×Q₈	—	2	1	no	—
524	C₂×C₅×Q₈	—	4	1	no	—
525	C₂×C₅×Q₈	—	4	1	no	—
526	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
540	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	—	2	1	no	—
544	C₂²×C₄×C₅	—	2	1	no	—
545	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	Q₈×D₅	—	2	2	no	—
563	Q₈×D₅	—	4	1	no	—
564	Q₈×D₅	—	4	1	no	—
565	Q₈×D₅	—	4	1	no	—
566	#711	—	8	2	no	—
567	#711	—	8	2	no	—
568	#711	—	8	2	no	—
569	D₄×D₅	—	4	1	no	—
570	D₄×D₅	—	4	1	no	—
571	#709	—	4	1	no	—
572	#709	—	4	1	no	—
573	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
582	C₂×Dic₁₀	—	2	1	no	—
583	C₂×Dic₁₀	—	2	1	no	—
584	C₂×Dic₁₀	—	2	1	no	—
585	C₂×Dic₁₀	—	2	1	no	—
586	C₂×Dic₁₀	—	2	1	no	—
587	C₂×Dic₁₀	—	2	1	no	—
588	C₂×Dic₁₀	—	2	1	no	—
589	C₂×Dic₁₀	—	4	1	no	—
590	C₂×Dic₁₀	—	4	1	no	—
591	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
592	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
595	C₅×Q₁₆	—	2	2	no	—
596	C₅×Q₁₆	—	2	2	no	—
597	C₅×SD₁₆	—	2	2	no	—
598	C₅×SD₁₆	—	4	1	no	—
599	C₅×SD₁₆	—	4	1	no	—
600	C₅×SD₁₆	—	4	1	no	—
601	C₅×SD₁₆	—	4	1	no	—
602	C₅×D₈	—	4	1	no	—
603	C₅×D₈	—	4	1	no	—
604	C₅×M₁₆	—	4	1	no	—
605	C₂×C₅×C₈	—	4	1	no	—
606	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
607	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
608	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
609	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
610	C₅×C₄⋊C₄	—	2	1	no	—
611	C₅×C₄⋊C₄	—	2	1	no	—
612	C₅×C₄⋊C₄	—	2	1	no	—
613	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₅×C₂²⋊C₄	—	2	1	no	—
621	C₅×C₂²⋊C₄	—	2	1	no	—
622	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₄²×C₅	—	2	1	no	—
625	C₄²×C₅	—	2	1	no	—
626	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂²⋊Dic₅	—	2	1	no	—
636	C₂²⋊Dic₅	—	2	1	no	—
637	C₂²⋊Dic₅	—	2	1	no	—
638	C₂²⋊Dic₅	—	2	1	no	—
639	C₂²⋊Dic₅	—	2	1	no	—
640	C₂²⋊Dic₅	—	2	1	no	—
641	C₂²⋊Dic₅	—	2	1	no	—
642	C₂²⋊Dic₅	—	2	1	no	—
643	C₂²⋊Dic₅	—	2	1	no	—
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
650	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
651	#689	—	2	2	no	—
652	#689	—	2	2	no	—
653	#689	—	4	1	no	—
654	#689	—	4	1	no	—
655	#688	—	2	2	no	—
656	#687	—	4	1	no	—
657	#687	—	4	1	no	—
658	#687	—	4	1	no	—
659	#687	—	4	1	no	—
660	#687	—	4	1	no	—
661	#686	—	4	1	no	—
662	#686	—	4	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	C₂×D₄	1	1	yes	characteristic
674	#685	C₂×D₄	1	1	yes	characteristic
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	—	2	1	no	—
678	C₄⋊Dic₅	—	2	1	no	—
679	C₄⋊Dic₅	—	2	1	no	—
680	C₄⋊Dic₅	—	2	1	no	—
681	C₄⋊Dic₅	—	2	1	no	—
682	C₄⋊Dic₅	—	2	1	no	—
683	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
685	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
686	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	—	2	1	no	—
707	#683	—	2	1	no	—
708	#683	—	2	1	no	—
709	#683	—	2	1	no	—
710	#683	C₂×D₄	1	1	yes	characteristic
711	#683	C₂×D₄	1	1	yes	characteristic
712	#683	C₂×D₄	1	1	yes	characteristic
713	#683	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
723	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
725	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
726	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
727	#681	—	4	1	no	—
728	C₂×#168	—	4	1	no	—
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	C₂×#168	C₂⁴	1	1	yes	characteristic
733	Dic₂₀	—	4	1	no	—
734	Dic₂₀	—	4	1	no	—
735	#677	—	4	1	no	—
736	C₈×D₅	—	4	1	no	—
737	C₈×D₅	—	4	1	no	—
738	C₂×#137	—	5	1	no	—
739	C₂×#137	C₂×D₅	1	1	yes	characteristic, complemented
740	C₂×#135	—	5	1	no	—
741	C₂×#135	C₂×D₅	1	1	yes	characteristic
742	C₂²×Q₁₆	—	5	1	no	—
743	C₂²×SD₁₆	—	5	1	no	—
744	#563	—	10	1	no	—
745	#562	—	10	1	no	—
746	#559	—	5	1	no	—
747	#559	—	10	1	no	—
748	Q₈²	—	5	1	no	—
749	#556	—	5	1	no	—
750	#556	—	5	1	no	—
751	#554	—	5	1	no	—
752	#554	—	10	1	no	—
753	#551	—	10	1	no	—
754	#551	—	10	1	no	—
755	#550	C₂×D₅	1	1	yes	characteristic, complemented
756	D₄×Q₈	—	5	1	no	—
757	D₄×Q₈	—	5	1	no	—
758	#548	—	5	1	no	—
759	#548	—	5	1	no	—
760	#548	—	5	1	no	—
761	#548	C₂×D₅	1	1	yes	characteristic
762	#547	—	5	1	no	—
763	#547	—	5	1	no	—
764	#547	—	10	1	no	—
765	#547	—	10	1	no	—
766	#546	—	5	1	no	—
767	#546	—	5	1	no	—
768	#543	—	10	1	no	—
769	#542	—	5	1	no	—
770	#542	—	5	1	no	—
771	#542	—	5	1	no	—
772	#542	—	5	1	no	—
773	#542	—	10	1	no	—
774	#542	—	10	1	no	—
775	#542	—	10	1	no	—
776	#542	—	10	1	no	—
777	#538	—	10	1	no	—
778	#536	—	5	1	no	—
779	#536	—	5	1	no	—
780	#533	—	5	1	no	—
781	#532	—	5	1	no	—
782	#532	—	10	1	no	—
783	#529	—	5	1	no	—
784	#529	—	10	1	no	—
785	C₂×#124	—	5	1	no	—
786	#520	—	5	1	no	—
787	#520	—	5	1	no	—
788	C₂×C₄×Q₈	—	5	1	no	—
789	#497	—	5	1	no	—
790	#497	—	5	1	no	—
791	#496	—	5	1	no	—
792	#496	C₂×D₅	1	1	yes	characteristic
793	#495	—	5	1	no	—
794	#495	—	5	1	no	—
795	#489	—	5	1	no	—
796	#489	—	5	1	no	—
797	#489	—	5	1	no	—
798	#489	—	5	1	no	—
799	#487	—	5	1	no	—
800	#487	—	5	1	no	—
801	#483	—	5	1	no	—
802	#483	—	5	1	no	—
803	#483	—	5	1	no	—
804	#483	—	5	1	no	—
805	#481	—	5	1	no	—
806	#481	—	5	1	no	—
807	#476	—	5	1	no	—
808	#476	—	5	1	no	—
809	#476	—	5	1	no	—
810	#476	—	5	1	no	—
811	#475	—	5	1	no	—
812	#475	—	5	1	no	—
813	#475	—	5	1	no	—
814	#475	—	5	1	no	—
815	#475	—	5	1	no	—
816	#475	—	5	1	no	—
817	#470	—	5	1	no	—
818	#470	—	5	1	no	—
819	#469	—	5	1	no	—
820	#469	C₂×D₅	1	1	yes	characteristic
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	—	5	1	no	—
826	#465	—	5	1	no	—
827	#465	—	5	1	no	—
828	#465	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
836	#464	—	5	1	no	—
837	#464	—	5	1	no	—
838	#464	—	5	1	no	—
839	#464	—	5	1	no	—
840	#464	C₂×D₅	1	1	yes	characteristic
841	#463	—	5	1	no	—
842	#463	—	5	1	no	—
843	#463	—	5	1	no	—
844	#463	—	5	1	no	—
845	#463	—	5	1	no	—
846	#463	—	5	1	no	—
847	#463	—	5	1	no	—
848	#463	—	5	1	no	—
849	#462	—	5	1	no	—
850	#462	—	5	1	no	—
851	#462	—	5	1	no	—
852	#462	—	5	1	no	—
853	#461	—	5	1	no	—
854	#461	—	5	1	no	—
855	#461	—	5	1	no	—
856	#461	—	5	1	no	—
857	#460	—	5	1	no	—
858	#460	C₂×D₅	1	1	yes	characteristic, complemented
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	C₂×D₅	1	1	yes	characteristic, complemented
863	#451	—	5	1	no	—
864	#451	—	5	1	no	—
865	#451	—	5	1	no	—
866	#451	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	C₂×D₅	1	1	yes	characteristic
870	#449	C₂×D₅	1	1	yes	characteristic
871	#448	—	5	1	no	—
872	#448	—	5	1	no	—
873	#448	—	5	1	no	—
874	#448	C₂×D₅	1	1	yes	characteristic, complemented
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#446	—	5	1	no	—
878	#446	—	5	1	no	—
879	#442	—	5	1	no	—
880	#442	—	5	1	no	—
881	#441	—	5	1	no	—
882	#441	—	5	1	no	—
883	#441	—	5	1	no	—
884	#441	—	5	1	no	—
885	#441	—	5	1	no	—
886	#441	C₂×D₅	1	1	yes	characteristic, complemented
887	C₄×SD₁₆	—	5	1	no	—
888	C₄×SD₁₆	—	5	1	no	—
889	C₄×SD₁₆	—	5	1	no	—
890	C₄×SD₁₆	—	5	1	no	—
891	#435	—	5	1	no	—
892	#435	—	5	1	no	—
893	#435	—	5	1	no	—
894	#435	C₂×D₅	1	1	yes	characteristic, complemented
895	C₈×D₄	—	5	1	no	—
896	C₈×D₄	—	5	1	no	—
897	#433	—	5	1	no	—
898	#433	—	5	1	no	—
899	#432	—	5	1	no	—
900	#424	—	5	1	no	—
901	#424	—	5	1	no	—
902	C₂×C₄⋊C₈	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	C₂×#103	—	5	1	no	—
906	C₂×#103	—	5	1	no	—
907	C₂×#103	—	5	1	no	—
908	C₂×#102	—	5	1	no	—
909	C₂³×C₅	—	2	1	no	—
910	C₂³×C₅	—	2	1	no	—
911	C₂³×C₅	—	2	1	no	—
912	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	4	2	no	—
916	C₂²×D₅	—	8	1	no	—
917	C₂²×D₅	—	8	1	no	—
918	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
919	C₅×Q₈	—	2	1	no	—
920	C₅×Q₈	—	2	1	no	—
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	8	1	no	—
925	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
926	C₅×D₄	—	2	1	no	—
927	C₅×D₄	—	2	1	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	2	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	4	1	no	—
933	C₅×D₄	—	4	2	no	—
934	C₅×D₄	—	4	2	no	—
935	C₅×D₄	—	4	2	no	—
936	C₅×D₄	—	8	1	no	—
937	C₅×D₄	—	8	1	no	—
938	C₅×D₄	—	8	1	no	—
939	C₅×D₄	—	8	1	no	—
940	C₅×D₄	—	8	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	2	1	no	—
944	C₂×C₄×C₅	—	2	1	no	—
945	C₂×C₄×C₅	—	2	1	no	—
946	C₂×C₄×C₅	—	2	1	no	—
947	C₂×C₄×C₅	—	2	1	no	—
948	C₂×C₄×C₅	—	2	1	no	—
949	C₂×C₄×C₅	—	2	1	no	—
950	C₂×C₄×C₅	—	4	2	no	—
951	C₂×C₄×C₅	—	4	2	no	—
952	C₂×C₄×C₅	—	8	1	no	—
953	C₂×C₄×C₅	—	8	1	no	—
954	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
956	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
957	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
958	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
959	C₂²⋊D₅	—	2	2	no	—
960	C₂²⋊D₅	—	2	2	no	—
961	C₂²⋊D₅	—	4	2	no	—
962	C₂²⋊D₅	—	4	2	no	—
963	C₂²⋊D₅	—	8	1	no	—
964	C₂²⋊D₅	—	8	1	no	—
965	C₂²⋊D₅	—	8	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	—	2	1	no	—
971	C₂×Dic₅	—	2	1	no	—
972	C₂×Dic₅	—	2	1	no	—
973	C₂×Dic₅	—	8	1	no	—
974	C₂×Dic₅	—	8	1	no	—
975	C₂×Dic₅	—	8	1	no	—
976	C₂×Dic₅	—	8	1	no	—
977	C₂×Dic₅	—	8	1	no	—
978	C₂×Dic₅	—	8	1	no	—
979	C₂×Dic₅	—	8	1	no	—
980	C₂×Dic₅	—	8	1	no	—
981	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
983	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
984	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
985	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
986	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
988	D₂₀	—	2	1	no	—
989	D₂₀	—	2	1	no	—
990	C₄×D₅	—	2	2	no	—
991	C₄×D₅	—	2	1	no	—
992	C₄×D₅	—	2	1	no	—
993	C₄×D₅	—	4	1	no	—
994	C₄×D₅	—	4	2	no	—
995	C₄×D₅	—	4	2	no	—
996	C₄×D₅	—	8	1	no	—
997	C₄×D₅	—	8	1	no	—
998	C₄×D₅	—	8	1	no	—
999	Dic₁₀	—	2	1	no	—
1000	Dic₁₀	—	2	1	no	—
1001	Dic₁₀	—	2	1	no	—
1002	Dic₁₀	—	2	1	no	—
1003	Dic₁₀	—	2	1	no	—
1004	Dic₁₀	—	2	1	no	—
1005	Dic₁₀	—	4	1	no	—
1006	Dic₁₀	—	4	2	no	—
1007	Dic₁₀	—	8	1	no	—
1008	Dic₁₀	—	8	1	no	—
1009	Dic₁₀	—	8	1	no	—
1010	Dic₁₀	—	8	1	no	—
1011	Dic₁₀	—	8	1	no	—
1012	Dic₁₀	—	8	1	no	—
1013	C₅×C₈	—	2	1	no	—
1014	C₅×C₈	—	2	1	no	—
1015	C₅×C₈	—	2	1	no	—
1016	C₅×C₈	—	2	1	no	—
1017	#168	—	2	1	no	—
1018	#168	—	2	1	no	—
1019	#168	—	2	1	no	—
1020	#168	—	2	1	no	—
1021	C₂×#41	—	5	1	no	—
1022	C₂×#41	—	10	1	no	—
1023	C₂×#41	—	10	1	no	—
1024	C₂×#41	—	10	1	no	—
1025	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1026	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1027	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1028	C₂²×Q₈	—	5	1	no	—
1029	C₂²×Q₈	—	5	1	no	—
1030	C₂²×Q₈	—	5	1	no	—
1031	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1032	C₂²×D₄	—	5	1	no	—
1033	#137	—	4	2	no	—
1034	#137	—	20	2	no	—
1035	#135	—	4	2	no	—
1036	#135	—	20	2	no	—
1037	C₂×Q₁₆	—	5	1	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	—	20	2	no	—
1044	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1045	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1046	C₂×SD₁₆	—	5	1	no	—
1047	C₂×SD₁₆	—	5	1	no	—
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	—	20	2	no	—
1054	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1059	C₂×D₈	—	5	1	no	—
1060	C₂×D₈	—	5	1	no	—
1061	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1062	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1063	C₂×M₁₆	—	5	1	no	—
1064	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1065	C₂²×C₈	—	5	1	no	—
1066	C₂²×C₈	—	5	1	no	—
1067	C₂²×C₈	—	5	1	no	—
1068	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1069	C₄⋊Q₈	—	5	1	no	—
1070	C₄⋊Q₈	—	5	1	no	—
1071	C₄⋊Q₈	—	5	1	no	—
1072	C₄⋊Q₈	—	5	1	no	—
1073	C₄⋊Q₈	—	5	1	no	—
1074	C₄⋊Q₈	—	5	1	no	—
1075	C₄⋊Q₈	—	5	1	no	—
1076	C₄⋊Q₈	—	10	1	no	—
1077	C₄⋊Q₈	—	10	1	no	—
1078	C₄⋊Q₈	—	10	1	no	—
1079	C₄⋊Q₈	—	10	1	no	—
1080	C₄⋊Q₈	—	10	1	no	—
1081	#127	—	2	1	no	—
1082	#127	C₂²×D₅	1	1	yes	characteristic
1083	#126	—	5	1	no	—
1084	#126	—	5	1	no	—
1085	#126	—	10	1	no	—
1086	#126	—	10	1	no	—
1087	#126	—	10	1	no	—
1088	#126	—	10	1	no	—
1089	#126	—	10	1	no	—
1090	#126	—	10	1	no	—
1091	#126	—	10	1	no	—
1092	#126	—	10	1	no	—
1093	#125	—	5	1	no	—
1094	#125	—	10	1	no	—
1095	#125	—	10	1	no	—
1096	#124	—	2	1	no	—
1097	#124	—	5	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	5	1	no	—
1100	#124	—	5	1	no	—
1101	#124	—	5	1	no	—
1102	#124	—	5	1	no	—
1103	#124	—	5	1	no	—
1104	#124	—	5	1	no	—
1105	#124	—	10	1	no	—
1106	#124	—	10	1	no	—
1107	#124	—	10	1	no	—
1108	#124	—	10	1	no	—
1109	#124	—	10	1	no	—
1110	#124	—	10	1	no	—
1111	#124	—	10	1	no	—
1112	#124	—	10	1	no	—
1113	#124	—	10	1	no	—
1114	#124	—	10	1	no	—
1115	#124	—	10	1	no	—
1116	#124	C₂²×D₅	1	1	yes	characteristic
1117	#123	—	5	1	no	—
1118	#123	—	5	1	no	—
1119	#123	—	10	1	no	—
1120	#123	—	10	1	no	—
1121	#123	—	10	1	no	—
1122	#123	—	10	1	no	—
1123	#123	—	10	1	no	—
1124	#123	—	10	1	no	—
1125	#123	—	10	1	no	—
1126	#123	—	10	1	no	—
1127	#123	—	10	1	no	—
1128	#123	—	10	1	no	—
1129	#123	—	10	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	5	1	no	—
1137	C₂²⋊Q₈	—	5	1	no	—
1138	C₂²⋊Q₈	—	5	1	no	—
1139	C₂²⋊Q₈	—	5	1	no	—
1140	C₂²⋊Q₈	—	5	1	no	—
1141	C₂²⋊Q₈	—	5	1	no	—
1142	C₂²⋊Q₈	—	10	1	no	—
1143	C₂²⋊Q₈	—	10	1	no	—
1144	C₂²⋊Q₈	—	10	1	no	—
1145	C₂²⋊Q₈	—	10	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	—	10	1	no	—
1152	C₂²⋊Q₈	—	10	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	—	10	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	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	5	1	no	—
1169	#121	—	5	1	no	—
1170	#121	—	5	1	no	—
1171	#121	—	5	1	no	—
1172	#121	—	10	1	no	—
1173	#121	—	10	1	no	—
1174	#121	—	10	1	no	—
1175	#121	—	10	1	no	—
1176	#121	—	10	1	no	—
1177	#121	—	10	1	no	—
1178	#121	C₂²×D₅	1	1	yes	characteristic
1179	#121	C₂²×D₅	1	1	yes	characteristic
1180	#121	C₂²×D₅	1	1	yes	characteristic
1181	#120	—	10	1	no	—
1182	#120	—	10	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	—	10	1	no	—
1193	C₄×Q₈	—	10	1	no	—
1194	C₄×Q₈	—	10	1	no	—
1195	C₄×Q₈	—	10	1	no	—
1196	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1197	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	5	1	no	—
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	5	1	no	—
1206	C₄×D₄	—	5	1	no	—
1207	C₄×D₄	—	5	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	—	10	1	no	—
1212	C₄×D₄	—	10	1	no	—
1213	C₄×D₄	—	10	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	—	10	1	no	—
1220	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1221	#117	—	5	1	no	—
1222	#117	—	5	1	no	—
1223	#117	—	10	1	no	—
1224	#117	—	10	1	no	—
1225	#117	—	10	1	no	—
1226	#117	—	10	1	no	—
1227	#117	—	10	1	no	—
1228	C₂×C₄⋊C₄	—	5	1	no	—
1229	C₂×C₄⋊C₄	—	5	1	no	—
1230	C₂×C₄⋊C₄	—	5	1	no	—
1231	C₂×C₄⋊C₄	—	10	1	no	—
1232	C₂×C₄⋊C₄	—	10	1	no	—
1233	C₂×C₄⋊C₄	—	10	1	no	—
1234	C₂×C₂²⋊C₄	—	10	1	no	—
1235	C₂×C₂²⋊C₄	—	10	1	no	—
1236	C₂×C₂²⋊C₄	—	10	1	no	—
1237	C₂×C₂²⋊C₄	—	10	1	no	—
1238	C₂×C₄²	—	5	1	no	—
1239	C₂×C₄²	—	10	1	no	—
1240	#106	—	5	1	no	—
1241	#106	—	5	1	no	—
1242	#106	—	5	1	no	—
1243	#106	—	5	1	no	—
1244	#106	—	5	1	no	—
1245	#106	—	5	1	no	—
1246	#106	—	5	1	no	—
1247	#106	C₂²×D₅	1	1	yes	characteristic
1248	C₄⋊C₈	—	5	1	no	—
1249	C₄⋊C₈	—	5	1	no	—
1250	C₄⋊C₈	—	5	1	no	—
1251	C₄⋊C₈	—	5	1	no	—
1252	C₄⋊C₈	—	5	1	no	—
1253	C₄⋊C₈	—	5	1	no	—
1254	C₄⋊C₈	—	5	1	no	—
1255	C₄⋊C₈	—	5	1	no	—
1256	C₄⋊C₈	—	5	1	no	—
1257	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	—	5	1	no	—
1274	#103	—	5	1	no	—
1275	#103	C₂²×D₅	1	1	yes	characteristic
1276	#103	C₂²×D₅	1	1	yes	characteristic
1277	#103	C₂²×D₅	1	1	yes	characteristic
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	—	5	1	no	—
1287	#102	C₂²×D₅	1	1	yes	characteristic
1288	#102	C₂²×D₅	1	1	yes	characteristic
1289	#102	C₂²×D₅	1	1	yes	characteristic
1290	C₂²⋊C₈	—	5	1	no	—
1291	C₂²⋊C₈	—	5	1	no	—
1292	C₂²⋊C₈	—	5	1	no	—
1293	C₂²⋊C₈	—	5	1	no	—
1294	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1296	#97	—	5	1	no	—
1297	#97	—	5	1	no	—
1298	#97	—	5	1	no	—
1299	#97	C₂²×D₅	1	1	yes	characteristic
1300	C₄×C₈	—	5	1	no	—
1301	C₄×C₈	—	5	1	no	—
1302	C₂²×C₅	—	2	1	no	—
1303	C₂²×C₅	—	2	1	no	—
1304	C₂²×C₅	—	2	1	no	—
1305	C₂²×C₅	—	2	1	no	—
1306	C₂²×C₅	—	2	1	no	—
1307	C₂²×C₅	—	2	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	—	4	1	no	—
1316	C₂²×C₅	—	4	1	no	—
1317	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1318	C₂×D₅	—	2	1	no	—
1319	C₂×D₅	—	2	1	no	—
1320	C₂×D₅	—	4	1	no	—
1321	C₂×D₅	—	4	1	no	—
1322	C₂×D₅	—	4	1	no	—
1323	C₂×D₅	—	16	2	no	—
1324	C₂×D₅	#577	1	2	yes	—
1325	C₄×C₅	—	2	1	no	—
1326	C₄×C₅	—	2	2	no	—
1327	C₄×C₅	—	2	1	no	—
1328	C₄×C₅	—	2	1	no	—
1329	C₄×C₅	—	2	1	no	—
1330	C₄×C₅	—	4	1	no	—
1331	C₄×C₅	—	4	1	no	—
1332	C₄×C₅	—	4	1	no	—
1333	C₄×C₅	—	4	1	no	—
1334	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1335	C₄×C₅	#585	1	1	yes	characteristic
1336	Dic₅	—	2	1	no	—
1337	Dic₅	—	2	1	no	—
1338	Dic₅	—	2	1	no	—
1339	Dic₅	—	2	1	no	—
1340	Dic₅	—	2	1	no	—
1341	Dic₅	—	2	1	no	—
1342	Dic₅	—	2	1	no	—
1343	Dic₅	—	4	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	C₂⁴	—	10	1	no	—
1351	#41	—	2	2	no	—
1352	#41	—	2	2	no	—
1353	#41	—	4	1	no	—
1354	#41	—	4	1	no	—
1355	#41	—	4	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	20	1	no	—
1358	#41	—	20	1	no	—
1359	#41	—	40	2	no	—
1360	#41	—	40	2	no	—
1361	#41	—	40	2	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	4	1	no	—
1364	C₂×Q₈	—	4	1	no	—
1365	C₂×Q₈	—	5	1	no	—
1366	C₂×Q₈	—	5	1	no	—
1367	C₂×Q₈	—	5	1	no	—
1368	C₂×Q₈	—	5	1	no	—
1369	C₂×Q₈	—	10	1	no	—
1370	C₂×Q₈	—	10	1	no	—
1371	C₂×Q₈	—	10	1	no	—
1372	C₂×Q₈	—	10	1	no	—
1373	C₂×Q₈	—	10	1	no	—
1374	C₂×Q₈	—	10	1	no	—
1375	C₂×Q₈	—	10	1	no	—
1376	C₂×Q₈	—	10	2	no	—
1377	C₂×Q₈	—	20	1	no	—
1378	C₂×Q₈	—	20	1	no	—
1379	C₂×Q₈	—	20	1	no	—
1380	C₂×Q₈	—	20	1	no	—
1381	C₂×Q₈	—	20	1	no	—
1382	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1383	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1384	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	5	1	no	—
1394	C₂×D₄	—	5	1	no	—
1395	C₂×D₄	—	5	1	no	—
1396	C₂×D₄	—	10	1	no	—
1397	C₂×D₄	—	10	1	no	—
1398	C₂×D₄	—	10	1	no	—
1399	C₂×D₄	—	10	1	no	—
1400	C₂×D₄	—	10	1	no	—
1401	C₂×D₄	—	20	1	no	—
1402	C₂×D₄	—	20	1	no	—
1403	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1404	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1405	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1406	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	5	1	no	—
1412	C₂²×C₄	—	5	1	no	—
1413	C₂²×C₄	—	5	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	—	10	1	no	—
1419	C₂²×C₄	—	10	1	no	—
1420	C₂²×C₄	—	10	1	no	—
1421	C₂²×C₄	—	10	1	no	—
1422	C₂²×C₄	—	10	1	no	—
1423	C₂²×C₄	—	10	1	no	—
1424	C₂²×C₄	—	10	1	no	—
1425	C₂²×C₄	—	10	1	no	—
1426	C₂²×C₄	—	10	1	no	—
1427	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1429	Q₁₆	—	2	2	no	—
1430	Q₁₆	—	2	2	no	—
1431	Q₁₆	—	10	2	no	—
1432	Q₁₆	—	10	2	no	—
1433	Q₁₆	—	20	1	no	—
1434	Q₁₆	—	20	1	no	—
1435	Q₁₆	—	20	1	no	—
1436	Q₁₆	—	20	1	no	—
1437	SD₁₆	—	2	2	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	SD₁₆	—	4	1	no	—
1442	SD₁₆	—	10	2	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	D₈	—	4	1	no	—
1450	D₈	—	4	1	no	—
1451	D₈	—	20	1	no	—
1452	D₈	—	20	1	no	—
1453	M₁₆	—	4	1	no	—
1454	M₁₆	—	20	1	no	—
1455	C₂×C₈	—	4	1	no	—
1456	C₂×C₈	—	5	1	no	—
1457	C₂×C₈	—	5	1	no	—
1458	C₂×C₈	—	5	1	no	—
1459	C₂×C₈	—	5	1	no	—
1460	C₂×C₈	—	20	1	no	—
1461	C₂×C₈	—	20	1	no	—
1462	C₂×C₈	—	20	1	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	—	5	1	no	—
1471	C₄⋊C₄	—	5	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	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	—	10	1	no	—
1486	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1510	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1511	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	5	1	no	—
1519	C₂²⋊C₄	—	5	1	no	—
1520	C₂²⋊C₄	—	5	1	no	—
1521	C₂²⋊C₄	—	5	1	no	—
1522	C₂²⋊C₄	—	5	1	no	—
1523	C₂²⋊C₄	—	5	1	no	—
1524	C₂²⋊C₄	—	5	1	no	—
1525	C₂²⋊C₄	—	5	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₂²⋊C₄	—	10	1	no	—
1529	C₂²⋊C₄	—	10	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1555	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
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	C₂³×D₅	1	1	yes	characteristic
1572	C₂×C₅	—	4	1	no	—
1573	C₂×C₅	—	4	1	no	—
1574	C₂×C₅	—	8	1	no	—
1575	C₂×C₅	—	8	1	no	—
1576	C₂×C₅	—	8	1	no	—
1577	C₂×C₅	#3488	1	1	yes	characteristic
1578	C₂×C₅	C₂×#577	1	1	yes	characteristic
1579	C₂×C₅	#3586	1	1	yes	characteristic
1580	D₅	—	2	2	no	—
1581	D₅	—	8	1	no	—
1582	C₂³	—	2	1	no	—
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	5	1	no	—
1586	C₂³	—	10	1	no	—
1587	C₂³	—	20	2	no	—
1588	C₂³	—	40	1	no	—
1589	C₂³	—	40	1	no	—
1590	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1591	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1592	Q₈	—	2	1	no	—
1593	Q₈	—	2	1	no	—
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	2	1	no	—
1597	Q₈	—	8	1	no	—
1598	Q₈	—	10	1	no	—
1599	Q₈	—	10	1	no	—
1600	Q₈	—	10	1	no	—
1601	Q₈	—	10	1	no	—
1602	Q₈	—	10	1	no	—
1603	Q₈	—	10	1	no	—
1604	Q₈	—	20	1	no	—
1605	Q₈	—	20	2	no	—
1606	Q₈	—	40	1	no	—
1607	Q₈	—	40	1	no	—
1608	Q₈	—	40	1	no	—
1609	Q₈	—	40	1	no	—
1610	Q₈	—	40	1	no	—
1611	Q₈	—	40	1	no	—
1612	Q₈	#4144	1	2	yes	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	2	1	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	2	1	no	—
1619	D₄	—	4	1	no	—
1620	D₄	—	4	2	no	—
1621	D₄	—	4	2	no	—
1622	D₄	—	4	2	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	8	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	10	2	no	—
1629	D₄	—	10	2	no	—
1630	D₄	—	10	1	no	—
1631	D₄	—	10	1	no	—
1632	D₄	—	20	2	no	—
1633	D₄	—	20	2	no	—
1634	D₄	—	40	1	no	—
1635	D₄	—	40	1	no	—
1636	D₄	—	40	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	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	—	2	1	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	5	1	no	—
1649	C₂×C₄	—	5	1	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	—	10	1	no	—
1665	C₂×C₄	—	10	1	no	—
1666	C₂×C₄	—	10	1	no	—
1667	C₂×C₄	—	20	1	no	—
1668	C₂×C₄	—	20	2	no	—
1669	C₂×C₄	—	20	2	no	—
1670	C₂×C₄	—	40	1	no	—
1671	C₂×C₄	—	40	1	no	—
1672	C₂×C₄	—	40	1	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	—	40	1	no	—
1679	C₂×C₄	—	40	1	no	—
1680	C₂×C₄	—	40	1	no	—
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	C₂×D₄×D₅	1	1	yes	characteristic
1685	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1686	C₈	—	2	1	no	—
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	10	1	no	—
1691	C₈	—	10	1	no	—
1692	C₈	—	10	1	no	—
1693	C₈	—	10	1	no	—
1694	C₅	#62021	1	1	yes	characteristic, complemented, Sylow
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	5	2	no	—
1711	C₂²	—	10	1	no	—
1712	C₂²	—	10	1	no	—
1713	C₂²	—	20	1	no	—
1714	C₂²	—	20	1	no	—
1715	C₂²	—	20	1	no	—
1716	C₂²	—	80	2	no	—
1717	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	2	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	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	—	10	1	no	—
1733	C₄	—	10	1	no	—
1734	C₄	—	20	1	no	—
1735	C₄	—	20	1	no	—
1736	C₄	—	20	1	no	—
1737	C₄	—	20	1	no	—
1738	C₄	—	20	1	no	—
1739	C₄	—	20	1	no	—
1740	C₄	—	20	1	no	—
1741	C₄	C₂×#4144	1	1	yes	characteristic
1742	C₄	#66285	1	1	yes	characteristic
1743	C₂	—	4	1	no	—
1744	C₂	—	4	1	no	—
1745	C₂	—	8	1	no	—
1746	C₂	—	8	1	no	—
1747	C₂	—	8	1	no	—
1748	C₂	—	10	2	no	—
1749	C₂	—	40	1	no	—
1750	C₂	#10618508	1	1	yes	characteristic
1751	C₂	#10619102	1	1	yes	characteristic
1752	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×#3271	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3271	D₅
hypocenter	C₅	#62021
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3271

Complements

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

N	H ≅ G/N	type
1. #10618677	C₂	semidirect
2. #10618632	C₂	semidirect
3. C₅×#3271	C₂	semidirect
4. #10615720	C₂	semidirect
5. #10615702	C₂	semidirect
6. #10615650	C₂	semidirect
7. #10615633	C₂	semidirect
8. #10615314	C₂	semidirect
9. #10615269	C₂	semidirect
10. #10613580	C₂	semidirect
11. #10613572	C₂	semidirect
12. #10612605	C₂	semidirect
13. #10612590	C₂	semidirect
14. #10612420	C₂	semidirect
15. #10612378	C₂	semidirect
16. D₅×#464	C₂	semidirect
17. #10612313	C₂	semidirect
18. #10612108	C₂	semidirect
19. #10612097	C₂	semidirect
20. #10611973	C₂	semidirect
21. #10611950	C₂	semidirect
22. #10611857	C₂	semidirect
23. #10611837	C₂	semidirect
24. #10611811	C₂	semidirect
25. #10611806	C₂	semidirect
26. #10611790	C₂	semidirect
27. #10611780	C₂	semidirect
28. #10611564	C₂	semidirect
29. #10611546	C₂	semidirect
30. #10611244	C₂	semidirect
31. #10611195	C₂	semidirect
32. C₂×C₅×#137	C₂²	semidirect
34. C₅×#550	C₂²	semidirect
39. #66161	C₂²	semidirect
40. #66161	C₂²	semidirect
42. C₂×#4097	C₂²	semidirect
51. #66047	C₂²	semidirect
70. #65937	C₂²	semidirect
71. #65937	C₂²	semidirect
75. Q₈×Dic₁₀	C₂²	semidirect
82. #65877	C₂²	semidirect
85. C₅×#465	C₂²	semidirect
87. C₅×#460	C₂²	semidirect
88. C₅×#452	C₂²	semidirect
91. C₅×#448	C₂²	semidirect
92. C₅×#441	C₂²	semidirect
93. C₅×#435	C₂²	semidirect
95. #65528	C₂²	semidirect
98. #65517	C₂²	semidirect
99. C₂×#3967	C₂²	semidirect
103. #65473	C₂²	semidirect
104. #65471	C₂²	semidirect
105. #65471	C₂²	semidirect
106. #65471	C₂²	semidirect
112. #65456	C₂²	semidirect
113. #65456	C₂²	semidirect
116. #65455	C₂²	semidirect
120. #65451	C₂²	semidirect
121. #65451	C₂²	semidirect
122. #65451	C₂²	semidirect
123. #65451	C₂²	semidirect
125. SD₁₆×Dic₅	C₂²	semidirect
134. #65426	C₂²	semidirect
137. #65408	C₂²	semidirect
140. C₂×#3948	C₂²	semidirect
141. #65391	C₂²	semidirect
142. #65364	C₂²	semidirect
146. #65341	C₂²	semidirect
147. #65332	C₂²	semidirect
149. #65330	C₂²	semidirect
150. #65329	C₂²	semidirect
154. #65319	C₂²	semidirect
155. #65319	C₂²	semidirect
157. #65309	C₂²	semidirect
158. #65300	C₂²	semidirect
161. #65143	C₂²	semidirect
162. #65143	C₂²	semidirect
163. #65140	C₂²	semidirect
166. #65117	C₂²	semidirect
172. #65082	C₂²	semidirect
173. #65081	C₂²	semidirect
174. #65081	C₂²	semidirect
175. #65080	C₂²	semidirect
176. #65080	C₂²	semidirect
177. #65078	C₂²	semidirect
185. #65056	C₂²	semidirect
188. #65050	C₂²	semidirect
189. #65050	C₂²	semidirect
190. #65047	C₂²	semidirect
191. #65028	C₂²	semidirect
196. #65010	C₂²	semidirect
197. #65009	C₂²	semidirect
198. #65009	C₂²	semidirect
199. #65005	C₂²	semidirect
202. #64990	C₂²	semidirect
500. #3271	D₅	semidirect
739. C₂×#137	C₂×D₅	semidirect
755. #550	C₂×D₅	semidirect
828. #465	C₂×D₅	semidirect
858. #460	C₂×D₅	semidirect
862. #452	C₂×D₅	semidirect
874. #448	C₂×D₅	semidirect
886. #441	C₂×D₅	semidirect
894. #435	C₂×D₅	semidirect
1694. C₅	#62021	semidirect

Maximal subgroups

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

subgroup	index
#10618677	2
#10618632	2
C₅×#3271	2
#10615720	2
#10615702	2
#10615650	2
#10615633	2
#10615314	2
#10615269	2
#10613580	2
#10613572	2
#10612605	2
#10612590	2
#10612420	2
#10612378	2
D₅×#464	2
#10612313	2
#10612108	2
#10612097	2
#10611973	2
#10611950	2
#10611857	2
#10611837	2
#10611811	2
#10611806	2
#10611790	2
#10611780	2
#10611564	2
#10611546	2
#10611244	2
#10611195	2
#62021	5