Subgroups — #12993021

Order 1280.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618031	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615449	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615447	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615430	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615418	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615314	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615303	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615296	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615284	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615280	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615278	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615270	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615265	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615261	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615259	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615244	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615242	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615200	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615198	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615196	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615192	C₂	1	1	yes	maximal, characteristic, complemented
23	#10615143	C₂	1	1	yes	maximal, characteristic, complemented
24	#10615141	C₂	1	1	yes	maximal, characteristic, complemented
25	#10615140	C₂	1	1	yes	maximal, characteristic, complemented
26	#10615137	C₂	1	1	yes	maximal, characteristic, complemented
27	#10615095	C₂	1	1	yes	maximal, characteristic, complemented
28	#10615085	C₂	1	1	yes	maximal, characteristic, complemented
29	#10615040	C₂	1	1	yes	maximal, characteristic, complemented
30	#10615027	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614861	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#562	—	2	1	no	—
33	C₅×#562	—	2	1	no	—
34	C₅×#559	—	2	1	no	—
35	C₅×#559	C₂²	1	1	yes	characteristic
36	C₅×#557	C₂²	1	1	yes	characteristic
37	C₅×#554	—	2	1	no	—
38	C₅×#550	C₂²	1	1	yes	characteristic
39	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
40	C₅×#548	C₂²	1	1	yes	characteristic
41	C₅×#548	C₂²	1	1	yes	characteristic
42	C₅×#547	C₂²	1	1	yes	characteristic
43	C₅×#547	C₂²	1	1	yes	characteristic
44	C₅×#542	—	2	1	no	—
45	C₅×#542	C₂²	1	1	yes	characteristic
46	C₅×#542	C₂²	1	1	yes	characteristic
47	C₅×#540	—	2	1	no	—
48	C₅×#539	—	2	1	no	—
49	C₅×#539	—	2	1	no	—
50	C₅×#536	C₂²	1	1	yes	characteristic
51	C₅×#536	C₂²	1	1	yes	characteristic
52	C₅×#533	C₂²	1	1	yes	characteristic
53	C₅×#532	C₂²	1	1	yes	characteristic
54	C₅×#529	C₂²	1	1	yes	characteristic
55	C₂×#4097	C₂²	1	1	yes	characteristic
56	C₂×#4096	C₂²	1	1	yes	characteristic
57	C₂×#4096	C₂²	1	1	yes	characteristic
58	C₂×#4096	C₂²	1	1	yes	characteristic
59	C₂²×#689	C₂²	1	1	yes	characteristic
60	C₂×#4088	C₂²	1	1	yes	characteristic
61	#66040	—	2	1	no	—
62	#66040	—	2	1	no	—
63	#66027	—	2	1	no	—
64	#66004	—	2	1	no	—
65	#65998	—	2	1	no	—
66	#65995	—	2	1	no	—
67	#65974	—	2	1	no	—
68	#65949	—	2	1	no	—
69	#65919	C₂²	1	1	yes	characteristic
70	#65901	C₂²	1	1	yes	characteristic
71	#65899	C₂²	1	1	yes	characteristic
72	#65897	C₂²	1	1	yes	characteristic
73	#65887	C₂²	1	1	yes	characteristic
74	#65886	C₂²	1	1	yes	characteristic
75	#65886	C₂²	1	1	yes	characteristic
76	#65875	C₂²	1	1	yes	characteristic
77	#65869	C₂²	1	1	yes	characteristic
78	#65868	C₂²	1	1	yes	characteristic
79	#65857	C₂²	1	1	yes	characteristic
80	#65850	C₂²	1	1	yes	characteristic
81	#65813	C₂²	1	1	yes	characteristic
82	C₄×#709	C₂²	1	1	yes	characteristic
83	#65528	C₂²	1	1	yes	characteristic
84	#65528	C₂²	1	1	yes	characteristic
85	#65528	C₂²	1	1	yes	characteristic
86	#65527	C₂²	1	1	yes	characteristic
87	#65527	C₂²	1	1	yes	characteristic
88	#65527	C₂²	1	1	yes	characteristic
89	#65527	C₂²	1	1	yes	characteristic
90	#65527	C₂²	1	1	yes	characteristic
91	#65522	C₂²	1	1	yes	characteristic
92	#65522	C₂²	1	1	yes	characteristic
93	#65522	C₂²	1	1	yes	characteristic
94	#65521	C₂²	1	1	yes	characteristic
95	#65517	C₂²	1	1	yes	characteristic
96	#65516	C₂²	1	1	yes	characteristic
97	#65516	C₂²	1	1	yes	characteristic
98	#65516	C₂²	1	1	yes	characteristic
99	#65514	C₂²	1	1	yes	characteristic
100	C₂×#3967	C₂²	1	1	yes	characteristic
101	#65383	C₂²	1	1	yes	characteristic
102	#65380	C₂²	1	1	yes	characteristic
103	#65379	C₂²	1	1	yes	characteristic
104	#65379	C₂²	1	1	yes	characteristic
105	#65379	C₂²	1	1	yes	characteristic
106	#65379	C₂²	1	1	yes	characteristic
107	#65379	C₂²	1	1	yes	characteristic
108	#65379	C₂²	1	1	yes	characteristic
109	#65376	C₂²	1	1	yes	characteristic
110	#65375	C₂²	1	1	yes	characteristic
111	#65375	C₂²	1	1	yes	characteristic
112	#65374	C₂²	1	1	yes	characteristic
113	#65373	C₂²	1	1	yes	characteristic
114	#65372	C₂²	1	1	yes	characteristic
115	#65372	C₂²	1	1	yes	characteristic
116	#65372	C₂²	1	1	yes	characteristic
117	#65372	C₂²	1	1	yes	characteristic
118	#65371	C₂²	1	1	yes	characteristic
119	#65371	C₂²	1	1	yes	characteristic
120	#65370	C₂²	1	1	yes	characteristic
121	#65364	C₂²	1	1	yes	characteristic
122	#65363	C₂²	1	1	yes	characteristic
123	#65361	C₂²	1	1	yes	characteristic
124	#65360	C₂²	1	1	yes	characteristic
125	#65348	C₂²	1	1	yes	characteristic
126	#65347	C₂²	1	1	yes	characteristic
127	#65346	C₂²	1	1	yes	characteristic
128	#65346	C₂²	1	1	yes	characteristic
129	#65346	C₂²	1	1	yes	characteristic
130	#65346	C₂²	1	1	yes	characteristic
131	#65346	C₂²	1	1	yes	characteristic
132	#65345	C₂²	1	1	yes	characteristic
133	#65344	C₂²	1	1	yes	characteristic
134	#65343	C₂²	1	1	yes	characteristic
135	#65343	C₂²	1	1	yes	characteristic
136	#65343	C₂²	1	1	yes	characteristic
137	#65343	C₂²	1	1	yes	characteristic
138	#65343	C₂²	1	1	yes	characteristic
139	#65343	C₂²	1	1	yes	characteristic
140	#65343	C₂²	1	1	yes	characteristic
141	#65341	C₂²	1	1	yes	characteristic
142	#65340	C₂²	1	1	yes	characteristic
143	#65340	C₂²	1	1	yes	characteristic
144	#65339	C₂²	1	1	yes	characteristic
145	#65338	C₂²	1	1	yes	characteristic
146	#65337	C₂²	1	1	yes	characteristic
147	#65337	C₂²	1	1	yes	characteristic
148	#65337	C₂²	1	1	yes	characteristic
149	#65337	C₂²	1	1	yes	characteristic
150	#65336	C₂²	1	1	yes	characteristic
151	#65336	C₂²	1	1	yes	characteristic
152	#65336	C₂²	1	1	yes	characteristic
153	#65334	C₂²	1	1	yes	characteristic
154	#65334	C₂²	1	1	yes	characteristic
155	#65334	C₂²	1	1	yes	characteristic
156	#65333	C₂²	1	1	yes	characteristic
157	#65330	C₂²	1	1	yes	characteristic
158	#65329	C₂²	1	1	yes	characteristic
159	#65328	C₂²	1	1	yes	characteristic
160	#65328	C₂²	1	1	yes	characteristic
161	#65327	C₂²	1	1	yes	characteristic
162	#65326	C₂²	1	1	yes	characteristic
163	#65324	C₂²	1	1	yes	characteristic
164	#65322	C₂²	1	1	yes	characteristic
165	#65319	C₂²	1	1	yes	characteristic
166	#65319	C₂²	1	1	yes	characteristic
167	#65319	C₂²	1	1	yes	characteristic
168	C₄×#689	C₂²	1	1	yes	characteristic
169	C₄×#689	C₂²	1	1	yes	characteristic
170	#65317	C₂²	1	1	yes	characteristic
171	#65317	C₂²	1	1	yes	characteristic
172	#65317	C₂²	1	1	yes	characteristic
173	#65316	C₂²	1	1	yes	characteristic
174	#65315	C₂²	1	1	yes	characteristic
175	#65315	C₂²	1	1	yes	characteristic
176	#65315	C₂²	1	1	yes	characteristic
177	#65313	C₂²	1	1	yes	characteristic
178	#65313	C₂²	1	1	yes	characteristic
179	#65311	C₂²	1	1	yes	characteristic
180	#65311	C₂²	1	1	yes	characteristic
181	#65311	C₂²	1	1	yes	characteristic
182	#65309	C₂²	1	1	yes	characteristic
183	#65307	C₂²	1	1	yes	characteristic
184	#65307	C₂²	1	1	yes	characteristic
185	C₄×#687	C₂²	1	1	yes	characteristic
186	#65305	C₂²	1	1	yes	characteristic
187	#65304	C₂²	1	1	yes	characteristic
188	C₄×#686	C₂²	1	1	yes	characteristic
189	#65300	C₂²	1	1	yes	characteristic
190	#65300	C₂²	1	1	yes	characteristic
191	#65300	C₂²	1	1	yes	characteristic
192	#65300	C₂²	1	1	yes	characteristic
193	D₄×#168	C₂²	1	1	yes	characteristic
194	D₄×#168	C₂²	1	1	yes	characteristic
195	#65298	C₂²	1	1	yes	characteristic
196	#65297	C₂²	1	1	yes	characteristic
197	#65289	C₂²	1	1	yes	characteristic
198	#65289	C₂²	1	1	yes	characteristic
199	#65288	C₂²	1	1	yes	characteristic
200	#65288	C₂²	1	1	yes	characteristic
201	#65215	C₂²	1	1	yes	characteristic
202	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic
203	#62025	—	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	C₂×C₅×#41	C₂³	1	1	yes	characteristic
208	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
210	C₂×#709	C₂³	1	1	yes	characteristic
211	C₂×#709	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	—	2	1	no	—
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₅×#127	—	2	1	no	—
220	C₅×#127	C₂³	1	1	yes	characteristic
221	C₅×#126	—	2	1	no	—
222	C₅×#126	—	2	1	no	—
223	C₅×#126	D₄	1	1	yes	characteristic
224	C₅×#126	D₄	1	1	yes	characteristic
225	C₅×#125	—	2	1	no	—
226	C₅×#125	—	2	1	no	—
227	C₅×#125	—	2	1	no	—
228	C₅×#125	—	2	1	no	—
229	C₅×#125	D₄	1	1	yes	characteristic
230	C₅×#124	—	2	1	no	—
231	C₅×#124	—	2	1	no	—
232	C₅×#124	—	2	1	no	—
233	C₅×#124	—	2	1	no	—
234	C₅×#124	—	2	1	no	—
235	C₅×#124	D₄	1	1	yes	characteristic
236	C₅×#124	C₂³	1	1	yes	characteristic
237	C₅×#124	C₂³	1	1	yes	characteristic
238	C₅×#124	C₂³	1	1	yes	characteristic
239	C₅×#124	C₂³	1	1	yes	characteristic
240	C₅×#123	—	2	1	no	—
241	C₅×#123	—	2	1	no	—
242	C₅×#123	—	2	1	no	—
243	C₅×#123	—	2	1	no	—
244	C₅×#123	—	2	1	no	—
245	C₅×#123	—	2	1	no	—
246	C₅×#123	—	2	1	no	—
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×#123	—	2	1	no	—
250	C₅×#123	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×#123	D₄	1	1	yes	characteristic
253	C₅×#123	D₄	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	—	2	1	no	—
255	C₅×C₂²⋊Q₈	—	2	1	no	—
256	C₅×C₂²⋊Q₈	—	2	1	no	—
257	C₅×C₂²⋊Q₈	—	2	1	no	—
258	C₅×C₂²⋊Q₈	—	2	1	no	—
259	C₅×C₂²⋊Q₈	—	2	1	no	—
260	C₅×C₂²⋊Q₈	—	2	1	no	—
261	C₅×C₂²⋊Q₈	—	2	1	no	—
262	C₅×C₂²⋊Q₈	—	2	1	no	—
263	C₅×C₂²⋊Q₈	—	2	1	no	—
264	C₅×C₂²⋊Q₈	—	2	1	no	—
265	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
266	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
267	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
268	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
269	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
270	C₅×#121	—	2	1	no	—
271	C₅×#121	—	2	1	no	—
272	C₅×#121	—	2	1	no	—
273	C₅×#121	—	2	1	no	—
274	C₅×#121	—	2	1	no	—
275	C₅×#121	—	2	1	no	—
276	C₅×#121	—	2	1	no	—
277	C₅×#121	—	2	1	no	—
278	C₅×#121	D₄	1	1	yes	characteristic
279	C₅×#121	C₂³	1	1	yes	characteristic
280	C₅×#121	C₂³	1	1	yes	characteristic
281	C₄×C₅×Q₈	—	2	1	no	—
282	C₄×C₅×Q₈	—	2	1	no	—
283	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
284	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
285	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
286	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
287	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
288	C₄×C₅×D₄	—	2	1	no	—
289	C₄×C₅×D₄	—	2	1	no	—
290	C₄×C₅×D₄	—	2	1	no	—
291	C₄×C₅×D₄	—	2	1	no	—
292	C₄×C₅×D₄	—	2	1	no	—
293	C₄×C₅×D₄	—	2	1	no	—
294	C₄×C₅×D₄	—	2	1	no	—
295	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
296	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
297	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
298	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
299	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
300	C₅×#117	—	2	1	no	—
301	C₅×#117	C₂³	1	1	yes	characteristic
302	C₅×#117	C₂³	1	1	yes	characteristic
303	C₂×C₅×C₄⋊C₄	—	2	1	no	—
304	C₂×C₅×C₄⋊C₄	—	2	1	no	—
305	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
306	#4097	—	4	2	no	—
307	#4096	—	4	2	no	—
308	#4096	—	4	2	no	—
309	#4096	—	4	2	no	—
310	#4093	—	2	1	no	—
311	#4090	—	2	1	no	—
312	C₂×#689	—	4	2	no	—
313	C₂×#689	C₂³	1	1	yes	characteristic
314	C₂×#689	C₂³	1	1	yes	characteristic
315	C₂×#689	C₂³	1	1	yes	characteristic
316	C₂×#689	C₂³	1	1	yes	characteristic
317	C₂×#689	C₂³	1	1	yes	characteristic
318	C₂×#689	C₂³	1	1	yes	characteristic
319	C₂×#689	C₂³	1	1	yes	characteristic
320	C₂×#689	C₂³	1	1	yes	characteristic
321	#4088	—	4	2	no	—
322	C₂×#688	C₂³	1	1	yes	characteristic
323	C₂×#688	C₂³	1	1	yes	characteristic
324	C₂×#688	C₂³	1	1	yes	characteristic
325	C₂×#688	C₂³	1	1	yes	characteristic
326	C₂×#688	C₂³	1	1	yes	characteristic
327	C₂×#688	C₂³	1	1	yes	characteristic
328	C₂×#688	C₂³	1	1	yes	characteristic
329	C₂×#688	C₂³	1	1	yes	characteristic
330	#4086	—	2	1	no	—
331	#4085	—	2	1	no	—
332	#4085	—	2	1	no	—
333	#4085	—	2	1	no	—
334	#4084	—	2	1	no	—
335	#4081	—	2	1	no	—
336	C₂×#687	C₂³	1	1	yes	characteristic
337	C₂×#687	C₂³	1	1	yes	characteristic
338	C₂×#687	C₂³	1	1	yes	characteristic
339	C₂×#687	C₂³	1	1	yes	characteristic
340	C₂×#686	C₂³	1	1	yes	characteristic
341	C₂×#686	C₂³	1	1	yes	characteristic
342	C₂×#686	C₂³	1	1	yes	characteristic
343	C₂×#686	C₂³	1	1	yes	characteristic
344	#4076	C₂³	1	1	yes	characteristic
345	#4076	C₂³	1	1	yes	characteristic
346	#4076	C₂³	1	1	yes	characteristic
347	#4076	C₂³	1	1	yes	characteristic
348	#4075	—	2	1	no	—
349	C₄×C₂²⋊D₅	—	2	1	no	—
350	C₄×C₂²⋊D₅	—	2	1	no	—
351	C₄×C₂²⋊D₅	—	2	1	no	—
352	#4072	C₂³	1	1	yes	characteristic
353	#4072	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
355	#4070	C₂³	1	1	yes	characteristic
356	#4070	C₂³	1	1	yes	characteristic
357	C₂×#681	C₂³	1	1	yes	characteristic
358	C₂×#681	C₂³	1	1	yes	characteristic
359	C₂²×#168	C₂³	1	1	yes	characteristic
360	C₂²×#168	C₂³	1	1	yes	characteristic
361	C₂²×#168	C₂³	1	1	yes	characteristic
362	C₂²×#168	C₂³	1	1	yes	characteristic
363	#4044	—	2	1	no	—
364	#4044	—	2	1	no	—
365	#4042	—	2	1	no	—
366	#4042	—	2	1	no	—
367	#4042	—	2	1	no	—
368	#4040	—	2	1	no	—
369	#4040	—	2	1	no	—
370	#4040	—	2	1	no	—
371	#4040	—	2	1	no	—
372	#4039	—	2	1	no	—
373	#4039	—	2	1	no	—
374	#4038	—	2	1	no	—
375	#4038	—	2	1	no	—
376	D₅×C₄⋊C₄	—	2	1	no	—
377	#4035	—	2	1	no	—
378	#4035	—	2	1	no	—
379	#4035	—	2	1	no	—
380	#4033	—	2	1	no	—
381	#4033	—	2	1	no	—
382	#4033	—	2	1	no	—
383	#4031	—	2	1	no	—
384	#4031	—	2	1	no	—
385	#4031	—	2	1	no	—
386	#4031	—	2	1	no	—
387	#4031	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4030	—	2	1	no	—
391	#4030	—	2	1	no	—
392	#4029	—	2	1	no	—
393	#4029	—	2	1	no	—
394	#4027	—	2	1	no	—
395	#4027	—	2	1	no	—
396	#4027	—	2	1	no	—
397	#4027	—	2	1	no	—
398	#4027	—	2	1	no	—
399	#4025	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4022	—	2	1	no	—
404	#4021	C₂³	1	1	yes	characteristic
405	#4021	C₂³	1	1	yes	characteristic
406	#4020	C₂³	1	1	yes	characteristic
407	C₄×D₂₀	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	C₄²×D₅	—	2	1	no	—
414	#4016	C₂³	1	1	yes	characteristic
415	#4016	C₂³	1	1	yes	characteristic
416	#4015	C₂³	1	1	yes	characteristic
417	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
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	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	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	#3964	C₂³	1	1	yes	characteristic
440	#3964	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	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	C₂²⋊#168	C₂³	1	1	yes	characteristic
450	C₂²⋊#168	C₂³	1	1	yes	characteristic
451	C₂²⋊#168	C₂³	1	1	yes	characteristic
452	C₂²⋊#168	C₂³	1	1	yes	characteristic
453	#3942	C₂³	1	1	yes	characteristic
454	#3942	C₂³	1	1	yes	characteristic
455	#3942	C₂³	1	1	yes	characteristic
456	#3942	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3940	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3939	C₂³	1	1	yes	characteristic
466	#3939	C₂³	1	1	yes	characteristic
467	#3939	C₂³	1	1	yes	characteristic
468	#3939	C₂³	1	1	yes	characteristic
469	C₄⋊#168	C₂³	1	1	yes	characteristic
470	C₄⋊#168	C₂³	1	1	yes	characteristic
471	C₄⋊#168	C₂³	1	1	yes	characteristic
472	C₄⋊#168	C₂³	1	1	yes	characteristic
473	C₄⋊#168	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	#3935	C₂³	1	1	yes	characteristic
480	#3935	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3935	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3554	D₅	1	1	yes	characteristic, complemented
486	#3524	—	5	1	no	—
487	#3403	—	5	1	no	—
488	#3400	—	5	1	no	—
489	#3374	—	5	1	no	—
490	#3371	—	5	1	no	—
491	#3321	—	5	1	no	—
492	#3320	—	5	1	no	—
493	#3315	—	5	1	no	—
494	#3309	—	5	1	no	—
495	#3303	—	5	1	no	—
496	#3300	—	5	1	no	—
497	#3285	—	5	1	no	—
498	#3284	—	5	1	no	—
499	#3271	—	5	1	no	—
500	#3271	—	5	1	no	—
501	#3270	—	5	1	no	—
502	#3269	—	5	1	no	—
503	#3263	—	5	1	no	—
504	#3257	—	5	1	no	—
505	#3248	—	5	1	no	—
506	#3225	—	5	1	no	—
507	#3221	—	5	1	no	—
508	#3219	—	5	1	no	—
509	#3124	—	5	1	no	—
510	#3121	—	5	1	no	—
511	#3116	—	5	1	no	—
512	#3046	—	5	1	no	—
513	#3044	—	5	1	no	—
514	#3035	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₅×#41	—	4	1	no	—
517	C₅×#41	—	4	1	no	—
518	C₅×#41	—	4	1	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	C₅×#41	—	4	1	no	—
524	C₂×C₅×Q₈	—	2	1	no	—
525	C₂×C₅×Q₈	—	2	1	no	—
526	C₂×C₅×Q₈	—	2	1	no	—
527	C₂×C₅×Q₈	—	4	1	no	—
528	C₂×C₅×Q₈	—	4	1	no	—
529	C₂×C₅×Q₈	—	4	1	no	—
530	C₂×C₅×Q₈	—	4	1	no	—
531	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
532	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	2	1	no	—
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
545	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
546	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
547	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
548	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₅	—	2	1	no	—
550	C₂²×C₄×C₅	—	2	1	no	—
551	C₂²×C₄×C₅	—	2	1	no	—
552	C₂²×C₄×C₅	—	2	1	no	—
553	C₂²×C₄×C₅	—	2	1	no	—
554	C₂²×C₄×C₅	—	2	1	no	—
555	C₂²×C₄×C₅	—	2	1	no	—
556	C₂²×C₄×C₅	—	2	1	no	—
557	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
558	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
559	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
562	C₂×C₂²⋊D₅	—	2	1	no	—
563	C₂×C₂²⋊D₅	—	2	1	no	—
564	C₂×C₂²⋊D₅	—	2	1	no	—
565	C₂×C₂²⋊D₅	—	2	1	no	—
566	C₂×C₂²⋊D₅	—	2	1	no	—
567	C₂×C₂²⋊D₅	—	2	1	no	—
568	C₂²×Dic₅	—	2	1	no	—
569	C₂²×Dic₅	—	2	1	no	—
570	#709	—	2	2	no	—
571	#709	—	2	2	no	—
572	#709	—	4	1	no	—
573	#709	—	4	1	no	—
574	C₂×D₂₀	—	2	1	no	—
575	C₂×D₂₀	—	2	1	no	—
576	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
577	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	2	1	no	—
583	C₂×C₄×D₅	—	2	1	no	—
584	C₂×Dic₁₀	—	2	2	no	—
585	C₂×Dic₁₀	—	2	1	no	—
586	C₂×Dic₁₀	—	2	1	no	—
587	C₂×Dic₁₀	—	4	1	no	—
588	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	—	2	1	no	—
607	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
623	C₅×C₂²⋊C₄	—	2	1	no	—
624	C₅×C₂²⋊C₄	—	2	1	no	—
625	C₅×C₂²⋊C₄	—	2	1	no	—
626	C₅×C₂²⋊C₄	—	2	1	no	—
627	C₅×C₂²⋊C₄	—	2	1	no	—
628	C₅×C₂²⋊C₄	—	2	1	no	—
629	C₅×C₂²⋊C₄	—	2	1	no	—
630	C₅×C₂²⋊C₄	—	2	1	no	—
631	C₅×C₂²⋊C₄	—	2	1	no	—
632	C₅×C₂²⋊C₄	—	2	1	no	—
633	C₅×C₂²⋊C₄	—	2	1	no	—
634	C₅×C₂²⋊C₄	—	2	1	no	—
635	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₄²×C₅	—	2	1	no	—
646	C₄²×C₅	—	2	1	no	—
647	C₄²×C₅	—	2	1	no	—
648	C₄²×C₅	—	2	1	no	—
649	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
650	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
651	C₄²×C₅	C₂⁴	1	1	yes	characteristic
652	C₄²×C₅	C₂⁴	1	1	yes	characteristic
653	C₄²×C₅	C₂⁴	1	1	yes	characteristic
654	C₄²×C₅	C₂⁴	1	1	yes	characteristic
655	C₂²⋊Dic₅	—	2	1	no	—
656	C₂²⋊Dic₅	—	2	1	no	—
657	C₂²⋊Dic₅	—	2	1	no	—
658	C₂²⋊Dic₅	—	2	1	no	—
659	#689	—	2	2	no	—
660	#689	—	2	2	no	—
661	#689	—	2	2	no	—
662	#689	—	2	2	no	—
663	#689	—	4	1	no	—
664	#689	—	4	1	no	—
665	#689	—	4	1	no	—
666	#689	—	4	1	no	—
667	#688	—	4	1	no	—
668	#688	—	4	1	no	—
669	#688	—	4	1	no	—
670	#688	—	4	1	no	—
671	#688	—	4	1	no	—
672	#688	—	4	1	no	—
673	#688	—	4	1	no	—
674	#688	—	4	1	no	—
675	#687	—	2	2	no	—
676	#687	—	2	2	no	—
677	#687	—	4	1	no	—
678	#687	—	4	1	no	—
679	#686	—	4	1	no	—
680	#686	—	4	1	no	—
681	#686	—	4	1	no	—
682	#686	—	4	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	1	no	—
694	#685	—	2	1	no	—
695	C₄⋊Dic₅	—	2	1	no	—
696	C₄⋊Dic₅	—	2	1	no	—
697	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
711	#683	—	2	1	no	—
712	#683	—	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	#681	—	4	1	no	—
722	#681	—	4	1	no	—
723	C₂×#168	—	4	1	no	—
724	C₂×#168	—	4	1	no	—
725	C₂×#168	—	4	1	no	—
726	C₂×#168	—	4	1	no	—
727	C₂×#168	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	C₂×#168	C₂⁴	1	1	yes	characteristic
733	C₂×#168	C₂⁴	1	1	yes	characteristic
734	C₂×#168	C₂⁴	1	1	yes	characteristic
735	C₂×#137	—	5	1	no	—
736	C₂×#137	—	5	1	no	—
737	C₂×#135	—	5	1	no	—
738	C₂×#135	—	5	1	no	—
739	C₂×#135	—	5	1	no	—
740	C₂²×Q₁₆	—	5	1	no	—
741	#562	—	2	1	no	—
742	#562	—	2	1	no	—
743	#559	—	2	1	no	—
744	#559	—	5	1	no	—
745	#559	—	10	1	no	—
746	#559	C₂×D₅	1	1	yes	characteristic
747	#557	—	5	1	no	—
748	#557	C₂×D₅	1	1	yes	characteristic
749	#555	—	5	1	no	—
750	#555	—	10	1	no	—
751	#554	—	2	1	no	—
752	#553	—	5	1	no	—
753	#553	—	10	1	no	—
754	#552	—	5	1	no	—
755	#552	—	10	1	no	—
756	#550	—	5	1	no	—
757	#550	C₂×D₅	1	1	yes	characteristic
758	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
759	#548	—	5	1	no	—
760	#548	—	5	1	no	—
761	#548	C₂×D₅	1	1	yes	characteristic
762	#548	C₂×D₅	1	1	yes	characteristic
763	#547	C₂×D₅	1	1	yes	characteristic
764	#547	C₂×D₅	1	1	yes	characteristic
765	#542	—	2	1	no	—
766	#542	—	5	1	no	—
767	#542	—	10	1	no	—
768	#542	C₂×D₅	1	1	yes	characteristic
769	#542	C₂×D₅	1	1	yes	characteristic
770	#540	—	2	1	no	—
771	#540	—	5	1	no	—
772	#540	—	10	1	no	—
773	#539	—	2	1	no	—
774	#539	—	2	1	no	—
775	#536	C₂×D₅	1	1	yes	characteristic
776	#536	C₂×D₅	1	1	yes	characteristic
777	#533	C₂×D₅	1	1	yes	characteristic
778	#532	C₂×D₅	1	1	yes	characteristic
779	#529	—	5	1	no	—
780	#529	—	10	1	no	—
781	#529	—	10	1	no	—
782	#529	C₂×D₅	1	1	yes	characteristic
783	#520	—	5	1	no	—
784	#519	—	5	1	no	—
785	C₄×#41	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	—	5	1	no	—
788	#496	—	5	1	no	—
789	#496	—	5	1	no	—
790	#495	—	5	1	no	—
791	#492	—	5	1	no	—
792	#491	—	5	1	no	—
793	#491	—	5	1	no	—
794	#490	—	5	1	no	—
795	#489	—	5	1	no	—
796	#488	—	5	1	no	—
797	#487	—	5	1	no	—
798	#485	—	5	1	no	—
799	#485	—	5	1	no	—
800	#485	—	5	1	no	—
801	#484	—	5	1	no	—
802	#482	—	5	1	no	—
803	#480	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	—	5	1	no	—
806	#479	—	5	1	no	—
807	#478	—	5	1	no	—
808	#477	—	5	1	no	—
809	#476	—	5	1	no	—
810	#476	—	5	1	no	—
811	#475	—	5	1	no	—
812	#475	—	5	1	no	—
813	#474	—	5	1	no	—
814	#470	—	5	1	no	—
815	#469	—	5	1	no	—
816	#469	—	5	1	no	—
817	#468	—	5	1	no	—
818	#467	—	5	1	no	—
819	#467	—	5	1	no	—
820	#466	—	5	1	no	—
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	#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	—	5	1	no	—
836	#463	—	5	1	no	—
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	—	5	1	no	—
842	#462	—	5	1	no	—
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	#460	—	5	1	no	—
853	#460	—	5	1	no	—
854	#459	—	5	1	no	—
855	#459	—	5	1	no	—
856	#452	—	5	1	no	—
857	#452	—	5	1	no	—
858	#452	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#451	—	5	1	no	—
863	#451	—	5	1	no	—
864	#449	—	5	1	no	—
865	#449	—	5	1	no	—
866	#449	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	—	5	1	no	—
870	#448	—	5	1	no	—
871	#448	—	5	1	no	—
872	#448	—	5	1	no	—
873	#448	—	5	1	no	—
874	#446	—	5	1	no	—
875	#446	—	5	1	no	—
876	#441	—	5	1	no	—
877	#441	—	5	1	no	—
878	#441	—	5	1	no	—
879	#440	—	5	1	no	—
880	#440	—	5	1	no	—
881	#440	—	5	1	no	—
882	#440	—	5	1	no	—
883	#440	—	5	1	no	—
884	C₄×Q₁₆	—	5	1	no	—
885	C₄×Q₁₆	—	5	1	no	—
886	C₄×SD₁₆	—	5	1	no	—
887	C₄×D₈	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	—	5	1	no	—
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	#433	—	5	1	no	—
895	#433	—	5	1	no	—
896	#432	—	5	1	no	—
897	#424	—	5	1	no	—
898	#424	—	5	1	no	—
899	C₂×C₄⋊C₈	—	5	1	no	—
900	#419	—	5	1	no	—
901	#417	—	5	1	no	—
902	#416	—	5	1	no	—
903	#416	—	5	1	no	—
904	#416	—	5	1	no	—
905	C₂×#103	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
910	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
911	C₂²×D₅	—	2	1	no	—
912	C₂²×D₅	—	2	1	no	—
913	C₅×Q₈	—	2	1	no	—
914	C₅×Q₈	—	2	1	no	—
915	C₅×Q₈	—	2	1	no	—
916	C₅×Q₈	—	2	1	no	—
917	C₅×Q₈	—	2	1	no	—
918	C₅×Q₈	—	2	1	no	—
919	C₅×Q₈	—	2	1	no	—
920	C₅×Q₈	—	2	1	no	—
921	C₅×Q₈	—	4	1	no	—
922	C₅×Q₈	—	8	1	no	—
923	C₅×Q₈	—	8	1	no	—
924	C₅×Q₈	—	8	1	no	—
925	C₅×D₄	—	2	1	no	—
926	C₅×D₄	—	2	1	no	—
927	C₅×D₄	—	2	1	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	4	1	no	—
930	C₅×D₄	—	4	1	no	—
931	C₅×D₄	—	4	1	no	—
932	C₅×D₄	—	4	2	no	—
933	C₅×D₄	—	8	1	no	—
934	C₅×D₄	—	8	1	no	—
935	C₅×D₄	—	8	1	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	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	—	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	—	2	1	no	—
951	C₂×C₄×C₅	—	2	1	no	—
952	C₂×C₄×C₅	—	4	1	no	—
953	C₂×C₄×C₅	—	4	1	no	—
954	C₂×C₄×C₅	—	8	1	no	—
955	C₂×C₄×C₅	—	8	1	no	—
956	C₂×C₄×C₅	—	8	1	no	—
957	C₂×C₄×C₅	—	8	1	no	—
958	C₂×C₄×C₅	—	8	1	no	—
959	C₂×C₄×C₅	—	8	1	no	—
960	C₂×C₄×C₅	—	8	1	no	—
961	C₂×C₄×C₅	—	8	1	no	—
962	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
965	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
966	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
967	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
968	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
969	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
974	C₂²⋊D₅	—	4	2	no	—
975	C₂²⋊D₅	—	4	2	no	—
976	C₂²⋊D₅	—	8	1	no	—
977	C₂²⋊D₅	—	8	1	no	—
978	C₂²⋊D₅	—	8	1	no	—
979	C₂²⋊D₅	—	8	1	no	—
980	C₂×Dic₅	—	2	1	no	—
981	C₂×Dic₅	—	2	1	no	—
982	C₂×Dic₅	—	2	1	no	—
983	C₂×Dic₅	—	2	1	no	—
984	C₂×Dic₅	—	2	1	no	—
985	C₂×Dic₅	—	2	1	no	—
986	C₂×Dic₅	—	4	2	no	—
987	C₂×Dic₅	—	8	1	no	—
988	D₂₀	—	2	1	no	—
989	D₂₀	—	2	1	no	—
990	D₂₀	—	2	1	no	—
991	D₂₀	—	2	1	no	—
992	D₂₀	—	8	1	no	—
993	D₂₀	—	8	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	C₄×D₅	—	8	1	no	—
1000	Dic₁₀	—	2	1	no	—
1001	Dic₁₀	—	2	1	no	—
1002	Dic₁₀	—	2	1	no	—
1003	Dic₁₀	—	4	2	no	—
1004	Dic₁₀	—	8	1	no	—
1005	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1006	#168	—	2	1	no	—
1007	#168	—	2	1	no	—
1008	#168	—	2	1	no	—
1009	#168	—	2	1	no	—
1010	#168	—	2	1	no	—
1011	#168	—	2	1	no	—
1012	#168	—	2	1	no	—
1013	#168	—	2	1	no	—
1014	C₂×#41	—	5	1	no	—
1015	C₂×#41	—	5	1	no	—
1016	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1017	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1018	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1019	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1020	C₂²×Q₈	—	5	1	no	—
1021	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1022	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1023	#137	—	20	2	no	—
1024	#137	—	20	2	no	—
1025	#135	—	20	2	no	—
1026	#135	—	20	2	no	—
1027	#135	—	20	2	no	—
1028	C₂×Q₁₆	—	5	1	no	—
1029	C₂×Q₁₆	—	5	1	no	—
1030	C₂×Q₁₆	—	5	1	no	—
1031	C₂×Q₁₆	—	5	1	no	—
1032	C₂×Q₁₆	—	5	1	no	—
1033	C₂×Q₁₆	—	5	1	no	—
1034	C₂×Q₁₆	—	5	1	no	—
1035	C₂×Q₁₆	—	5	1	no	—
1036	C₂×Q₁₆	—	20	2	no	—
1037	C₂×SD₁₆	—	5	1	no	—
1038	C₂×SD₁₆	—	5	1	no	—
1039	C₂×SD₁₆	—	5	1	no	—
1040	C₂×SD₁₆	—	5	1	no	—
1041	C₂×SD₁₆	—	5	1	no	—
1042	C₂×SD₁₆	—	5	1	no	—
1043	C₂×SD₁₆	—	5	1	no	—
1044	C₂×SD₁₆	—	5	1	no	—
1045	C₂×SD₁₆	—	5	1	no	—
1046	C₂×SD₁₆	—	5	1	no	—
1047	C₂×SD₁₆	—	5	1	no	—
1048	C₂×SD₁₆	—	5	1	no	—
1049	C₂×D₈	—	5	1	no	—
1050	C₂×D₈	—	5	1	no	—
1051	C₂×D₈	—	5	1	no	—
1052	C₂×D₈	—	5	1	no	—
1053	C₂×M₁₆	—	5	1	no	—
1054	C₂×M₁₆	—	5	1	no	—
1055	C₂²×C₈	—	5	1	no	—
1056	C₂²×C₈	—	5	1	no	—
1057	C₂²×C₈	—	5	1	no	—
1058	C₂²×C₈	—	5	1	no	—
1059	C₄⋊Q₈	—	2	1	no	—
1060	C₄⋊Q₈	—	5	1	no	—
1061	C₄⋊Q₈	—	10	1	no	—
1062	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1063	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1064	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1065	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1066	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1067	#127	—	2	1	no	—
1068	#127	—	5	1	no	—
1069	#127	—	10	1	no	—
1070	#127	C₂²×D₅	1	1	yes	characteristic
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	10	1	no	—
1074	#126	—	10	1	no	—
1075	#126	—	10	1	no	—
1076	#126	—	10	1	no	—
1077	#126	C₂²⋊D₅	1	1	yes	characteristic
1078	#126	C₂²⋊D₅	1	1	yes	characteristic
1079	#125	—	2	1	no	—
1080	#125	—	2	1	no	—
1081	#125	—	2	1	no	—
1082	#125	—	2	1	no	—
1083	#125	—	5	1	no	—
1084	#125	—	5	1	no	—
1085	#125	—	10	1	no	—
1086	#125	—	10	1	no	—
1087	#125	—	10	1	no	—
1088	#125	C₂²⋊D₅	1	1	yes	characteristic
1089	#124	—	2	1	no	—
1090	#124	—	2	1	no	—
1091	#124	—	2	1	no	—
1092	#124	—	2	1	no	—
1093	#124	—	2	1	no	—
1094	#124	—	5	1	no	—
1095	#124	—	5	1	no	—
1096	#124	—	10	1	no	—
1097	#124	—	10	1	no	—
1098	#124	—	10	1	no	—
1099	#124	—	10	1	no	—
1100	#124	—	10	1	no	—
1101	#124	—	10	1	no	—
1102	#124	C₂²⋊D₅	1	1	yes	characteristic
1103	#124	C₂²×D₅	1	1	yes	characteristic
1104	#124	C₂²×D₅	1	1	yes	characteristic
1105	#124	C₂²×D₅	1	1	yes	characteristic
1106	#124	C₂²×D₅	1	1	yes	characteristic
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	—	2	1	no	—
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	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	C₂²⋊D₅	1	1	yes	characteristic
1128	#123	C₂²⋊D₅	1	1	yes	characteristic
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	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	C₂²⋊D₅	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	5	1	no	—
1159	#121	—	5	1	no	—
1160	#121	—	5	1	no	—
1161	#121	—	5	1	no	—
1162	#121	—	10	1	no	—
1163	#121	—	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	C₂²⋊D₅	1	1	yes	characteristic
1171	#121	C₂²×D₅	1	1	yes	characteristic
1172	#121	C₂²×D₅	1	1	yes	characteristic
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	5	1	no	—
1176	C₄×Q₈	—	5	1	no	—
1177	C₄×Q₈	—	5	1	no	—
1178	C₄×Q₈	—	5	1	no	—
1179	C₄×Q₈	—	5	1	no	—
1180	C₄×Q₈	—	5	1	no	—
1181	C₄×Q₈	—	10	1	no	—
1182	C₄×Q₈	—	10	1	no	—
1183	C₄×Q₈	—	10	1	no	—
1184	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1185	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1186	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1187	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1188	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	5	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	1	no	—
1199	C₄×D₄	—	5	1	no	—
1200	C₄×D₄	—	10	1	no	—
1201	C₄×D₄	—	10	1	no	—
1202	C₄×D₄	—	10	1	no	—
1203	C₄×D₄	—	10	1	no	—
1204	C₄×D₄	—	10	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1211	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1212	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1213	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1214	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1215	#117	—	2	1	no	—
1216	#117	—	5	1	no	—
1217	#117	—	5	1	no	—
1218	#117	—	10	1	no	—
1219	#117	—	10	1	no	—
1220	#117	—	10	1	no	—
1221	#117	—	10	1	no	—
1222	#117	—	10	1	no	—
1223	#117	—	10	1	no	—
1224	#117	—	10	1	no	—
1225	#117	C₂²×D₅	1	1	yes	characteristic
1226	#117	C₂²×D₅	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	—	5	1	no	—
1230	C₂×C₄⋊C₄	—	10	1	no	—
1231	C₂×C₄²	—	10	1	no	—
1232	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1233	#107	—	5	1	no	—
1234	#107	—	5	1	no	—
1235	#107	—	5	1	no	—
1236	#107	—	5	1	no	—
1237	#106	—	5	1	no	—
1238	#106	—	5	1	no	—
1239	#106	—	5	1	no	—
1240	#106	—	5	1	no	—
1241	C₄⋊C₈	—	5	1	no	—
1242	C₄⋊C₈	—	5	1	no	—
1243	C₄⋊C₈	—	5	1	no	—
1244	C₄⋊C₈	—	5	1	no	—
1245	C₄⋊C₈	—	5	1	no	—
1246	C₄⋊C₈	—	5	1	no	—
1247	C₄⋊C₈	—	5	1	no	—
1248	C₄⋊C₈	—	5	1	no	—
1249	C₄⋊C₈	—	5	1	no	—
1250	C₄⋊C₈	—	5	1	no	—
1251	#103	—	5	1	no	—
1252	#103	—	5	1	no	—
1253	#103	—	5	1	no	—
1254	#103	—	5	1	no	—
1255	#103	—	5	1	no	—
1256	#103	—	5	1	no	—
1257	#103	—	5	1	no	—
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	#102	—	5	1	no	—
1272	#102	—	5	1	no	—
1273	#102	—	5	1	no	—
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	—	5	1	no	—
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	C₂²⋊C₈	—	5	1	no	—
1284	C₂²⋊C₈	—	5	1	no	—
1285	C₂²⋊C₈	—	5	1	no	—
1286	C₂²⋊C₈	—	5	1	no	—
1287	C₂²⋊C₈	—	5	1	no	—
1288	C₂²⋊C₈	—	5	1	no	—
1289	#97	—	5	1	no	—
1290	#97	—	5	1	no	—
1291	#97	—	5	1	no	—
1292	#97	—	5	1	no	—
1293	C₄×C₈	—	5	1	no	—
1294	C₄×C₈	—	5	1	no	—
1295	C₂²×C₅	—	2	1	no	—
1296	C₂²×C₅	—	2	1	no	—
1297	C₂²×C₅	—	2	1	no	—
1298	C₂²×C₅	—	2	1	no	—
1299	C₂²×C₅	—	2	1	no	—
1300	C₂²×C₅	—	2	1	no	—
1301	C₂²×C₅	—	2	1	no	—
1302	C₂²×C₅	—	2	1	no	—
1303	C₂²×C₅	—	2	1	no	—
1304	C₂²×C₅	—	4	1	no	—
1305	C₂²×C₅	—	4	1	no	—
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	C₂³×D₄	1	1	yes	characteristic
1311	C₂×D₅	—	4	1	no	—
1312	C₂×D₅	—	4	1	no	—
1313	C₂×D₅	—	4	1	no	—
1314	C₂×D₅	—	4	1	no	—
1315	C₂×D₅	—	4	1	no	—
1316	C₂×D₅	—	4	1	no	—
1317	C₄×C₅	—	2	1	no	—
1318	C₄×C₅	—	2	1	no	—
1319	C₄×C₅	—	2	1	no	—
1320	C₄×C₅	—	2	1	no	—
1321	C₄×C₅	—	2	1	no	—
1322	C₄×C₅	—	2	1	no	—
1323	C₄×C₅	—	2	1	no	—
1324	C₄×C₅	—	2	1	no	—
1325	C₄×C₅	—	2	1	no	—
1326	C₄×C₅	—	2	1	no	—
1327	C₄×C₅	—	2	1	no	—
1328	C₄×C₅	—	4	1	no	—
1329	C₄×C₅	—	4	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	2	no	—
1337	Dic₅	—	4	1	no	—
1338	Dic₅	—	4	1	no	—
1339	Dic₅	—	4	1	no	—
1340	Dic₅	—	4	1	no	—
1341	Dic₅	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	#41	—	4	1	no	—
1344	#41	—	4	1	no	—
1345	#41	—	4	1	no	—
1346	#41	—	4	1	no	—
1347	#41	—	4	1	no	—
1348	#41	—	4	1	no	—
1349	#41	—	4	1	no	—
1350	#41	—	10	2	no	—
1351	#41	—	10	2	no	—
1352	#41	—	20	1	no	—
1353	#41	—	20	1	no	—
1354	C₂×Q₈	—	2	1	no	—
1355	C₂×Q₈	—	2	1	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	4	1	no	—
1358	C₂×Q₈	—	4	1	no	—
1359	C₂×Q₈	—	4	1	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	—	5	1	no	—
1362	C₂×Q₈	—	5	1	no	—
1363	C₂×Q₈	—	10	2	no	—
1364	C₂×Q₈	—	10	1	no	—
1365	C₂×Q₈	—	10	1	no	—
1366	C₂×Q₈	—	20	1	no	—
1367	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1368	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1369	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1370	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1371	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
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	1	no	—
1384	C₂×D₄	—	10	1	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1391	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1392	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1393	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1394	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1412	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1413	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1414	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1415	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1416	Q₁₆	—	10	2	no	—
1417	Q₁₆	—	10	2	no	—
1418	Q₁₆	—	10	2	no	—
1419	Q₁₆	—	10	2	no	—
1420	Q₁₆	—	20	1	no	—
1421	Q₁₆	—	20	1	no	—
1422	Q₁₆	—	20	1	no	—
1423	Q₁₆	—	20	1	no	—
1424	SD₁₆	—	10	2	no	—
1425	SD₁₆	—	10	2	no	—
1426	SD₁₆	—	20	1	no	—
1427	SD₁₆	—	20	1	no	—
1428	SD₁₆	—	20	1	no	—
1429	SD₁₆	—	20	1	no	—
1430	SD₁₆	—	20	1	no	—
1431	SD₁₆	—	20	1	no	—
1432	SD₁₆	—	20	1	no	—
1433	SD₁₆	—	20	1	no	—
1434	SD₁₆	—	20	1	no	—
1435	SD₁₆	—	20	1	no	—
1436	D₈	—	20	1	no	—
1437	D₈	—	20	1	no	—
1438	D₈	—	20	1	no	—
1439	D₈	—	20	1	no	—
1440	M₁₆	—	20	1	no	—
1441	M₁₆	—	20	1	no	—
1442	C₂×C₈	—	5	1	no	—
1443	C₂×C₈	—	5	1	no	—
1444	C₂×C₈	—	5	1	no	—
1445	C₂×C₈	—	5	1	no	—
1446	C₂×C₈	—	5	1	no	—
1447	C₂×C₈	—	5	1	no	—
1448	C₂×C₈	—	5	1	no	—
1449	C₂×C₈	—	5	1	no	—
1450	C₂×C₈	—	20	1	no	—
1451	C₂×C₈	—	20	1	no	—
1452	C₂×C₈	—	20	1	no	—
1453	C₂×C₈	—	20	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
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	—	5	1	no	—
1472	C₄⋊C₄	—	5	1	no	—
1473	C₄⋊C₄	—	5	1	no	—
1474	C₄⋊C₄	—	5	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1499	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1500	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
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	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1534	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1535	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	10	1	no	—
1548	C₄²	—	10	1	no	—
1549	C₄²	—	10	1	no	—
1550	C₄²	—	10	1	no	—
1551	C₄²	—	10	1	no	—
1552	C₄²	—	10	1	no	—
1553	C₄²	—	10	1	no	—
1554	C₄²	—	10	1	no	—
1555	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1556	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1557	C₄²	C₂³×D₅	1	1	yes	characteristic
1558	C₄²	C₂³×D₅	1	1	yes	characteristic
1559	C₄²	C₂³×D₅	1	1	yes	characteristic
1560	C₄²	C₂³×D₅	1	1	yes	characteristic
1561	C₂×C₅	—	4	1	no	—
1562	C₂×C₅	—	4	1	no	—
1563	C₂×C₅	—	4	1	no	—
1564	C₂×C₅	—	8	1	no	—
1565	C₂×C₅	—	8	1	no	—
1566	C₂×C₅	#3488	1	1	yes	characteristic
1567	C₂×C₅	#3584	1	1	yes	characteristic
1568	C₂×C₅	#3586	1	1	yes	characteristic
1569	D₅	—	8	1	no	—
1570	D₅	—	8	1	no	—
1571	C₂³	—	2	1	no	—
1572	C₂³	—	2	1	no	—
1573	C₂³	—	10	1	no	—
1574	C₂³	—	10	1	no	—
1575	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1576	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1577	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	4	1	no	—
1587	Q₈	—	5	2	no	—
1588	Q₈	—	8	1	no	—
1589	Q₈	—	8	1	no	—
1590	Q₈	—	8	1	no	—
1591	Q₈	—	10	1	no	—
1592	Q₈	—	10	1	no	—
1593	Q₈	—	10	1	no	—
1594	Q₈	—	20	2	no	—
1595	Q₈	—	40	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	4	1	no	—
1601	D₄	—	4	1	no	—
1602	D₄	—	4	1	no	—
1603	D₄	—	4	2	no	—
1604	D₄	—	8	1	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	8	1	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	10	1	no	—
1612	D₄	—	10	1	no	—
1613	D₄	—	10	1	no	—
1614	D₄	—	10	1	no	—
1615	D₄	—	20	2	no	—
1616	D₄	—	20	2	no	—
1617	D₄	—	40	1	no	—
1618	D₄	—	40	1	no	—
1619	D₄	—	40	1	no	—
1620	D₄	—	40	1	no	—
1621	D₄	—	40	1	no	—
1622	D₄	—	40	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	4	1	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	8	1	no	—
1638	C₂×C₄	—	8	1	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	10	1	no	—
1646	C₂×C₄	—	10	1	no	—
1647	C₂×C₄	—	10	1	no	—
1648	C₂×C₄	—	10	1	no	—
1649	C₂×C₄	—	10	1	no	—
1650	C₂×C₄	—	10	1	no	—
1651	C₂×C₄	—	20	2	no	—
1652	C₂×C₄	—	20	2	no	—
1653	C₂×C₄	—	20	2	no	—
1654	C₂×C₄	—	40	1	no	—
1655	C₂×C₄	—	40	1	no	—
1656	C₂×C₄	—	40	1	no	—
1657	C₂×C₄	—	40	1	no	—
1658	C₂×C₄	—	40	1	no	—
1659	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1660	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1661	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1662	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1663	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1664	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1665	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1666	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1667	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1668	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1669	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1670	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1671	C₈	—	10	1	no	—
1672	C₈	—	10	1	no	—
1673	C₈	—	10	1	no	—
1674	C₈	—	10	1	no	—
1675	C₈	—	10	1	no	—
1676	C₈	—	10	1	no	—
1677	C₈	—	10	1	no	—
1678	C₈	—	10	1	no	—
1679	C₅	#62025	1	1	yes	characteristic, complemented, Sylow
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	20	1	no	—
1696	C₂²	—	20	1	no	—
1697	C₂²	—	20	1	no	—
1698	C₂²	—	20	1	no	—
1699	C₂²	—	20	1	no	—
1700	C₂²	—	20	1	no	—
1701	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1702	C₄	—	2	1	no	—
1703	C₄	—	2	1	no	—
1704	C₄	—	2	1	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	4	1	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	4	1	no	—
1716	C₄	—	4	1	no	—
1717	C₄	—	4	1	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	10	2	no	—
1720	C₄	—	20	1	no	—
1721	C₄	—	20	1	no	—
1722	C₄	—	20	1	no	—
1723	C₄	—	20	1	no	—
1724	C₄	—	20	1	no	—
1725	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1726	C₄	#66285	1	1	yes	characteristic
1727	C₂	—	4	1	no	—
1728	C₂	—	4	1	no	—
1729	C₂	—	4	1	no	—
1730	C₂	—	8	1	no	—
1731	C₂	—	8	1	no	—
1732	C₂	—	40	1	no	—
1733	C₂	—	40	1	no	—
1734	C₂	#10619186	1	1	yes	characteristic
1735	C₂	#10619188	1	1	yes	characteristic
1736	C₂	#10619198	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3554	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3554	D₅
hypocenter	C₅	#62025
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3554

Complements

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

N	H ≅ G/N	type
1. C₅×#3554	C₂	semidirect
2. #10618031	C₂	semidirect
3. #10615449	C₂	semidirect
4. #10615447	C₂	semidirect
5. #10615430	C₂	semidirect
6. #10615418	C₂	semidirect
7. #10615314	C₂	semidirect
8. #10615303	C₂	semidirect
9. #10615296	C₂	semidirect
10. #10615284	C₂	semidirect
11. #10615280	C₂	semidirect
12. #10615278	C₂	semidirect
13. #10615270	C₂	semidirect
14. #10615265	C₂	semidirect
15. #10615261	C₂	semidirect
16. #10615259	C₂	semidirect
17. #10615244	C₂	semidirect
18. #10615242	C₂	semidirect
19. #10615200	C₂	semidirect
20. #10615198	C₂	semidirect
21. #10615196	C₂	semidirect
22. #10615192	C₂	semidirect
23. #10615143	C₂	semidirect
24. #10615141	C₂	semidirect
25. #10615140	C₂	semidirect
26. #10615137	C₂	semidirect
27. #10615095	C₂	semidirect
28. #10615085	C₂	semidirect
29. #10615040	C₂	semidirect
30. #10615027	C₂	semidirect
31. #10614861	C₂	semidirect
485. #3554	D₅	semidirect
1679. C₅	#62025	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3554	2
#10618031	2
#10615449	2
#10615447	2
#10615430	2
#10615418	2
#10615314	2
#10615303	2
#10615296	2
#10615284	2
#10615280	2
#10615278	2
#10615270	2
#10615265	2
#10615261	2
#10615259	2
#10615244	2
#10615242	2
#10615200	2
#10615198	2
#10615196	2
#10615192	2
#10615143	2
#10615141	2
#10615140	2
#10615137	2
#10615095	2
#10615085	2
#10615040	2
#10615027	2
#10614861	2
#62025	5