Subgroups — #12981725

Order 1280.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3516	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618025	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615431	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615413	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615409	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615401	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615372	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615354	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615351	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615338	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615336	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615321	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#689	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615284	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615280	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615280	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615272	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615269	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615198	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615188	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615177	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615175	C₂	1	1	yes	maximal, characteristic, complemented
23	#10614884	C₂	1	1	yes	maximal, characteristic, complemented
24	#10614865	C₂	1	1	yes	maximal, characteristic, complemented
25	#10614857	C₂	1	1	yes	maximal, characteristic, complemented
26	#10614306	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614288	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614283	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614280	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614176	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×#689	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic
33	C₅×#556	—	2	1	no	—
34	C₅×#556	C₂²	1	1	yes	characteristic
35	C₅×#554	—	2	1	no	—
36	C₅×#554	C₂²	1	1	yes	characteristic
37	C₅×#553	—	2	1	no	—
38	C₅×#553	C₂²	1	1	yes	characteristic
39	C₅×#552	—	2	1	no	—
40	C₅×#552	C₂²	1	1	yes	characteristic
41	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
42	C₅×#548	C₂²	1	1	yes	characteristic
43	C₅×#548	C₂²	1	1	yes	characteristic
44	C₅×#542	—	2	1	no	—
45	C₅×#542	C₂²	1	1	yes	characteristic
46	C₅×#541	—	2	1	no	—
47	C₅×#541	C₂²	1	1	yes	characteristic
48	C₅×#529	—	2	1	no	—
49	C₅×#529	—	2	1	no	—
50	C₅×#529	C₂²	1	1	yes	characteristic
51	C₅×#529	C₂²	1	1	yes	characteristic
52	C₅×#520	C₂²	1	1	yes	characteristic
53	C₅×#519	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
55	C₂×#4096	C₂²	1	1	yes	characteristic
56	C₂²×#689	C₂²	1	1	yes	characteristic
57	C₂²×#689	C₂²	1	1	yes	characteristic
58	#66042	—	2	1	no	—
59	#66036	—	2	1	no	—
60	#66030	—	2	1	no	—
61	#66003	—	2	1	no	—
62	#65983	—	2	1	no	—
63	#65983	—	2	1	no	—
64	#65970	—	2	1	no	—
65	#65935	—	2	1	no	—
66	#65918	C₂²	1	1	yes	characteristic
67	#65901	C₂²	1	1	yes	characteristic
68	#65899	C₂²	1	1	yes	characteristic
69	#65886	C₂²	1	1	yes	characteristic
70	#65886	C₂²	1	1	yes	characteristic
71	#65877	C₂²	1	1	yes	characteristic
72	#65875	C₂²	1	1	yes	characteristic
73	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
74	#65868	C₂²	1	1	yes	characteristic
75	#65857	C₂²	1	1	yes	characteristic
76	#65852	C₂²	1	1	yes	characteristic
77	#65850	C₂²	1	1	yes	characteristic
78	#65813	C₂²	1	1	yes	characteristic
79	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
80	#65528	C₂²	1	1	yes	characteristic
81	#65528	C₂²	1	1	yes	characteristic
82	#65521	C₂²	1	1	yes	characteristic
83	#65517	C₂²	1	1	yes	characteristic
84	#65517	C₂²	1	1	yes	characteristic
85	#65516	C₂²	1	1	yes	characteristic
86	#65516	C₂²	1	1	yes	characteristic
87	#65514	C₂²	1	1	yes	characteristic
88	C₂×#3967	C₂²	1	1	yes	characteristic
89	#65383	C₂²	1	1	yes	characteristic
90	#65381	C₂²	1	1	yes	characteristic
91	#65380	C₂²	1	1	yes	characteristic
92	#65379	C₂²	1	1	yes	characteristic
93	#65378	C₂²	1	1	yes	characteristic
94	#65372	C₂²	1	1	yes	characteristic
95	#65371	C₂²	1	1	yes	characteristic
96	#65367	C₂²	1	1	yes	characteristic
97	#65358	C₂²	1	1	yes	characteristic
98	#65357	C₂²	1	1	yes	characteristic
99	#65355	C₂²	1	1	yes	characteristic
100	#65353	C₂²	1	1	yes	characteristic
101	#65353	C₂²	1	1	yes	characteristic
102	#65352	C₂²	1	1	yes	characteristic
103	#65352	C₂²	1	1	yes	characteristic
104	#65352	C₂²	1	1	yes	characteristic
105	#65348	C₂²	1	1	yes	characteristic
106	#65348	C₂²	1	1	yes	characteristic
107	#65345	C₂²	1	1	yes	characteristic
108	#65344	C₂²	1	1	yes	characteristic
109	#65343	C₂²	1	1	yes	characteristic
110	#65343	C₂²	1	1	yes	characteristic
111	#65343	C₂²	1	1	yes	characteristic
112	#65343	C₂²	1	1	yes	characteristic
113	#65341	C₂²	1	1	yes	characteristic
114	#65341	C₂²	1	1	yes	characteristic
115	#65340	C₂²	1	1	yes	characteristic
116	#65340	C₂²	1	1	yes	characteristic
117	#65340	C₂²	1	1	yes	characteristic
118	#65340	C₂²	1	1	yes	characteristic
119	#65339	C₂²	1	1	yes	characteristic
120	#65339	C₂²	1	1	yes	characteristic
121	#65338	C₂²	1	1	yes	characteristic
122	#65337	C₂²	1	1	yes	characteristic
123	#65336	C₂²	1	1	yes	characteristic
124	#65336	C₂²	1	1	yes	characteristic
125	#65334	C₂²	1	1	yes	characteristic
126	#65333	C₂²	1	1	yes	characteristic
127	#65333	C₂²	1	1	yes	characteristic
128	#65332	C₂²	1	1	yes	characteristic
129	#65331	C₂²	1	1	yes	characteristic
130	#65330	C₂²	1	1	yes	characteristic
131	#65329	C₂²	1	1	yes	characteristic
132	#65329	C₂²	1	1	yes	characteristic
133	#65327	C₂²	1	1	yes	characteristic
134	#65327	C₂²	1	1	yes	characteristic
135	#65324	C₂²	1	1	yes	characteristic
136	#65323	C₂²	1	1	yes	characteristic
137	#65320	C₂²	1	1	yes	characteristic
138	#65319	C₂²	1	1	yes	characteristic
139	#65319	C₂²	1	1	yes	characteristic
140	#65319	C₂²	1	1	yes	characteristic
141	#65319	C₂²	1	1	yes	characteristic
142	#65319	C₂²	1	1	yes	characteristic
143	#65319	C₂²	1	1	yes	characteristic
144	C₄×#689	C₂²	1	1	yes	characteristic
145	C₄×#689	C₂²	1	1	yes	characteristic
146	C₄×#689	C₂²	1	1	yes	characteristic
147	C₄×#689	C₂²	1	1	yes	characteristic
148	C₄×#689	C₂²	1	1	yes	characteristic
149	C₄×#689	C₂²	1	1	yes	characteristic
150	C₄×#689	C₂²	1	1	yes	characteristic
151	C₄×#689	C₂²	1	1	yes	characteristic
152	C₄×#689	C₂²	1	1	yes	characteristic
153	C₄×#689	C₂²	1	1	yes	characteristic
154	C₄×#689	C₂²	1	1	yes	characteristic
155	C₄×#689	C₂²	1	1	yes	characteristic
156	#65317	C₂²	1	1	yes	characteristic
157	#65317	C₂²	1	1	yes	characteristic
158	#65317	C₂²	1	1	yes	characteristic
159	#65317	C₂²	1	1	yes	characteristic
160	#65315	C₂²	1	1	yes	characteristic
161	#65315	C₂²	1	1	yes	characteristic
162	#65315	C₂²	1	1	yes	characteristic
163	C₄×#688	C₂²	1	1	yes	characteristic
164	#65313	C₂²	1	1	yes	characteristic
165	Q₈×#168	C₂²	1	1	yes	characteristic
166	#65311	C₂²	1	1	yes	characteristic
167	#65311	C₂²	1	1	yes	characteristic
168	#65311	C₂²	1	1	yes	characteristic
169	#65310	C₂²	1	1	yes	characteristic
170	#65309	C₂²	1	1	yes	characteristic
171	#65308	C₂²	1	1	yes	characteristic
172	#65307	C₂²	1	1	yes	characteristic
173	#65307	C₂²	1	1	yes	characteristic
174	#65307	C₂²	1	1	yes	characteristic
175	C₄×#687	C₂²	1	1	yes	characteristic
176	C₄×#686	C₂²	1	1	yes	characteristic
177	C₄×#686	C₂²	1	1	yes	characteristic
178	#65301	C₂²	1	1	yes	characteristic
179	#65300	C₂²	1	1	yes	characteristic
180	#65300	C₂²	1	1	yes	characteristic
181	D₄×#168	C₂²	1	1	yes	characteristic
182	D₄×#168	C₂²	1	1	yes	characteristic
183	D₄×#168	C₂²	1	1	yes	characteristic
184	#65298	C₂²	1	1	yes	characteristic
185	#65293	C₂²	1	1	yes	characteristic
186	#65292	C₂²	1	1	yes	characteristic
187	#65289	C₂²	1	1	yes	characteristic
188	#65289	C₂²	1	1	yes	characteristic
189	#65287	C₂²	1	1	yes	characteristic
190	#65286	C₂²	1	1	yes	characteristic
191	#65286	C₂²	1	1	yes	characteristic
192	#65285	C₂²	1	1	yes	characteristic
193	#65260	C₂²	1	1	yes	characteristic
194	#65259	C₂²	1	1	yes	characteristic
195	#65259	C₂²	1	1	yes	characteristic
196	C₂×#3942	C₂²	1	1	yes	characteristic
197	#65257	C₂²	1	1	yes	characteristic
198	#65255	C₂²	1	1	yes	characteristic
199	C₂×#3939	C₂²	1	1	yes	characteristic
200	C₂×#3939	C₂²	1	1	yes	characteristic
201	#65215	C₂²	1	1	yes	characteristic
202	C₂×C₄×#168	C₂²	1	1	yes	characteristic
203	#61473	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂×#709	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
210	C₅×C₄⋊Q₈	—	2	1	no	—
211	C₅×C₄⋊Q₈	—	2	1	no	—
212	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₅×#126	—	2	1	no	—
215	C₅×#126	—	2	1	no	—
216	C₅×#126	—	2	1	no	—
217	C₅×#126	—	2	1	no	—
218	C₅×#126	—	2	1	no	—
219	C₅×#126	—	2	1	no	—
220	C₅×#126	—	2	1	no	—
221	C₅×#126	—	2	1	no	—
222	C₅×#126	D₄	1	1	yes	characteristic
223	C₅×#126	D₄	1	1	yes	characteristic
224	C₅×#125	—	2	1	no	—
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	—	2	1	no	—
230	C₅×#125	D₄	1	1	yes	characteristic
231	C₅×#125	C₂³	1	1	yes	characteristic
232	C₅×#125	C₂³	1	1	yes	characteristic
233	C₅×#124	—	2	1	no	—
234	C₅×#124	—	2	1	no	—
235	C₅×#124	—	2	1	no	—
236	C₅×#124	D₄	1	1	yes	characteristic
237	C₅×#124	C₂³	1	1	yes	characteristic
238	C₅×#124	C₂³	1	1	yes	characteristic
239	C₅×#123	—	2	1	no	—
240	C₅×#123	—	2	1	no	—
241	C₅×#123	—	2	1	no	—
242	C₅×#123	—	2	1	no	—
243	C₅×#123	D₄	1	1	yes	characteristic
244	C₅×#123	D₄	1	1	yes	characteristic
245	C₅×C₂²⋊Q₈	—	2	1	no	—
246	C₅×C₂²⋊Q₈	—	2	1	no	—
247	C₅×C₂²⋊Q₈	—	2	1	no	—
248	C₅×C₂²⋊Q₈	—	2	1	no	—
249	C₅×C₂²⋊Q₈	—	2	1	no	—
250	C₅×C₂²⋊Q₈	—	2	1	no	—
251	C₅×C₂²⋊Q₈	—	2	1	no	—
252	C₅×C₂²⋊Q₈	—	2	1	no	—
253	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₅×#121	—	2	1	no	—
259	C₅×#121	—	2	1	no	—
260	C₅×#121	—	2	1	no	—
261	C₅×#121	D₄	1	1	yes	characteristic
262	C₅×#121	C₂³	1	1	yes	characteristic
263	C₅×#121	C₂³	1	1	yes	characteristic
264	C₄×C₅×Q₈	—	2	1	no	—
265	C₄×C₅×Q₈	—	2	1	no	—
266	C₄×C₅×Q₈	—	2	1	no	—
267	C₄×C₅×Q₈	—	2	1	no	—
268	C₄×C₅×Q₈	—	2	1	no	—
269	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
270	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
271	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
272	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
273	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
274	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
275	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
276	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
277	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
278	C₄×C₅×D₄	—	2	1	no	—
279	C₄×C₅×D₄	—	2	1	no	—
280	C₄×C₅×D₄	—	2	1	no	—
281	C₄×C₅×D₄	—	2	1	no	—
282	C₄×C₅×D₄	—	2	1	no	—
283	C₄×C₅×D₄	—	2	1	no	—
284	C₄×C₅×D₄	—	2	1	no	—
285	C₄×C₅×D₄	—	2	1	no	—
286	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
287	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
288	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
289	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
290	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
291	C₅×#117	—	2	1	no	—
292	C₅×#117	—	2	1	no	—
293	C₅×#117	—	2	1	no	—
294	C₅×#117	—	2	1	no	—
295	C₅×#117	—	2	1	no	—
296	C₅×#117	—	2	1	no	—
297	C₅×#117	C₂³	1	1	yes	characteristic
298	C₅×#117	C₂³	1	1	yes	characteristic
299	C₅×#117	C₂³	1	1	yes	characteristic
300	C₂×C₅×C₄⋊C₄	—	2	1	no	—
301	C₂×C₅×C₄⋊C₄	—	2	1	no	—
302	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₅	—	2	1	no	—
305	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
306	#4096	—	2	4	no	—
307	#4092	—	2	1	no	—
308	#4090	—	2	1	no	—
309	C₂×#689	—	2	4	no	—
310	C₂×#689	—	2	4	no	—
311	C₂×#689	C₂³	1	1	yes	characteristic
312	C₂×#689	C₂³	1	1	yes	characteristic
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×#688	C₂³	1	1	yes	characteristic
321	C₂×#688	C₂³	1	1	yes	characteristic
322	C₂×#688	C₂³	1	1	yes	characteristic
323	#4085	—	2	1	no	—
324	#4085	—	2	1	no	—
325	#4085	—	2	1	no	—
326	#4081	—	2	1	no	—
327	D₄×Dic₅	—	2	1	no	—
328	D₄×Dic₅	—	2	1	no	—
329	C₂×#687	C₂³	1	1	yes	characteristic
330	C₂×#687	C₂³	1	1	yes	characteristic
331	C₂×#687	C₂³	1	1	yes	characteristic
332	C₂×#686	C₂³	1	1	yes	characteristic
333	#4076	C₂³	1	1	yes	characteristic
334	#4076	C₂³	1	1	yes	characteristic
335	#4075	—	2	1	no	—
336	C₄×C₂²⋊D₅	—	2	1	no	—
337	#4072	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
340	#4070	C₂³	1	1	yes	characteristic
341	#4070	C₂³	1	1	yes	characteristic
342	#4070	C₂³	1	1	yes	characteristic
343	#4070	C₂³	1	1	yes	characteristic
344	C₂×#683	—	2	1	no	—
345	C₂×C₄×Dic₅	—	2	1	no	—
346	C₂×#681	C₂³	1	1	yes	characteristic
347	C₂×#681	C₂³	1	1	yes	characteristic
348	C₂²×#168	C₂³	1	1	yes	characteristic
349	C₂²×#168	C₂³	1	1	yes	characteristic
350	C₂²×#168	C₂³	1	1	yes	characteristic
351	C₂²×#168	C₂³	1	1	yes	characteristic
352	#4044	—	2	1	no	—
353	#4044	—	2	1	no	—
354	#4044	—	2	1	no	—
355	#4044	—	2	1	no	—
356	#4042	—	2	1	no	—
357	#4042	—	2	1	no	—
358	#4042	—	2	1	no	—
359	#4038	—	2	1	no	—
360	#4038	—	2	1	no	—
361	D₅×C₄⋊C₄	—	2	1	no	—
362	#4036	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4035	—	2	1	no	—
365	#4035	—	2	1	no	—
366	#4035	—	2	1	no	—
367	#4035	—	2	1	no	—
368	#4034	—	2	1	no	—
369	#4033	—	2	1	no	—
370	#4033	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4031	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4027	—	2	1	no	—
378	#4027	—	2	1	no	—
379	#4027	—	2	1	no	—
380	#4027	—	2	1	no	—
381	#4027	—	2	1	no	—
382	#4025	—	2	1	no	—
383	#4025	—	2	1	no	—
384	#4025	—	2	1	no	—
385	#4024	—	2	1	no	—
386	#4024	—	2	1	no	—
387	#4024	—	2	1	no	—
388	#4024	—	2	1	no	—
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4022	—	2	1	no	—
393	#4021	C₂³	1	1	yes	characteristic
394	#4021	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	#4018	—	2	1	no	—
398	#4016	C₂³	1	1	yes	characteristic
399	#4016	C₂³	1	1	yes	characteristic
400	#4015	C₂³	1	1	yes	characteristic
401	#4015	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
407	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
408	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	#3967	C₂³	1	1	yes	characteristic
413	#3967	C₂³	1	1	yes	characteristic
414	#3967	C₂³	1	1	yes	characteristic
415	#3967	C₂³	1	1	yes	characteristic
416	#3967	C₂³	1	1	yes	characteristic
417	#3967	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	C₂²⋊#168	C₂³	1	1	yes	characteristic
429	C₂²⋊#168	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	#3942	C₂³	1	1	yes	characteristic
435	#3942	C₂³	1	1	yes	characteristic
436	#3942	C₂³	1	1	yes	characteristic
437	#3942	C₂³	1	1	yes	characteristic
438	#3942	C₂³	1	1	yes	characteristic
439	#3942	C₂³	1	1	yes	characteristic
440	#3942	C₂³	1	1	yes	characteristic
441	#3942	C₂³	1	1	yes	characteristic
442	#3942	C₂³	1	1	yes	characteristic
443	#3942	C₂³	1	1	yes	characteristic
444	#3942	C₂³	1	1	yes	characteristic
445	#3942	C₂³	1	1	yes	characteristic
446	#3941	C₂³	1	1	yes	characteristic
447	#3941	C₂³	1	1	yes	characteristic
448	#3941	C₂³	1	1	yes	characteristic
449	#3941	C₂³	1	1	yes	characteristic
450	#3940	C₂³	1	1	yes	characteristic
451	#3940	C₂³	1	1	yes	characteristic
452	#3940	C₂³	1	1	yes	characteristic
453	#3940	C₂³	1	1	yes	characteristic
454	#3940	C₂³	1	1	yes	characteristic
455	#3940	C₂³	1	1	yes	characteristic
456	#3939	C₂³	1	1	yes	characteristic
457	#3939	C₂³	1	1	yes	characteristic
458	#3939	C₂³	1	1	yes	characteristic
459	#3939	C₂³	1	1	yes	characteristic
460	#3939	C₂³	1	1	yes	characteristic
461	#3939	C₂³	1	1	yes	characteristic
462	#3939	C₂³	1	1	yes	characteristic
463	#3939	C₂³	1	1	yes	characteristic
464	#3939	C₂³	1	1	yes	characteristic
465	#3939	C₂³	1	1	yes	characteristic
466	C₄⋊#168	C₂³	1	1	yes	characteristic
467	C₄⋊#168	C₂³	1	1	yes	characteristic
468	C₄⋊#168	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	#3935	C₂³	1	1	yes	characteristic
473	#3935	C₂³	1	1	yes	characteristic
474	#3935	C₂³	1	1	yes	characteristic
475	#3935	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	C₄×#168	C₂³	1	1	yes	characteristic
480	C₄×#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3516	—	5	1	no	—
483	#3516	D₅	1	1	yes	characteristic, complemented
484	#3393	—	5	1	no	—
485	#3383	—	5	1	no	—
486	#3377	—	5	1	no	—
487	#3377	—	5	1	no	—
488	#3339	—	5	1	no	—
489	#3338	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3327	—	5	1	no	—
492	#3327	—	5	1	no	—
493	#3320	—	5	1	no	—
494	#3320	—	5	1	no	—
495	#3316	—	5	1	no	—
496	#3316	—	5	1	no	—
497	D₄×Q₁₆	—	5	1	no	—
498	#3285	—	5	1	no	—
499	#3285	—	5	1	no	—
500	#3177	—	5	1	no	—
501	#3175	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3121	—	5	1	no	—
504	#3121	—	5	1	no	—
505	#3120	—	5	1	no	—
506	#3120	—	5	1	no	—
507	#3117	—	5	1	no	—
508	#3117	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2951	—	5	1	no	—
511	#2950	—	5	1	no	—
512	C₂×C₄×Q₁₆	—	5	1	no	—
513	C₅×#41	—	2	2	no	—
514	C₅×#41	—	4	1	no	—
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	—	2	1	no	—
517	C₂×C₅×Q₈	—	2	1	no	—
518	C₂×C₅×Q₈	—	2	2	no	—
519	C₂×C₅×Q₈	—	2	2	no	—
520	C₂×C₅×Q₈	—	4	1	no	—
521	C₂×C₅×Q₈	—	4	1	no	—
522	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	—	2	1	no	—
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
530	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
531	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	C₂²×Dic₅	—	2	1	no	—
551	C₂²×Dic₅	—	2	1	no	—
552	#709	—	2	2	no	—
553	#709	—	4	1	no	—
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×Dic₁₀	—	2	2	no	—
559	C₂×Dic₁₀	—	2	2	no	—
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	4	1	no	—
564	C₂×Dic₁₀	—	4	1	no	—
565	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
568	C₅×C₄⋊C₄	—	2	1	no	—
569	C₅×C₄⋊C₄	—	2	1	no	—
570	C₅×C₄⋊C₄	—	2	1	no	—
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	—	2	1	no	—
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₄²×C₅	—	2	1	no	—
627	C₄²×C₅	—	2	1	no	—
628	C₄²×C₅	—	2	1	no	—
629	C₄²×C₅	—	2	1	no	—
630	C₄²×C₅	—	2	1	no	—
631	C₄²×C₅	—	2	1	no	—
632	C₄²×C₅	—	2	1	no	—
633	C₄²×C₅	—	2	1	no	—
634	C₄²×C₅	—	2	1	no	—
635	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
636	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
637	C₄²×C₅	C₂⁴	1	1	yes	characteristic
638	C₄²×C₅	C₂⁴	1	1	yes	characteristic
639	C₄²×C₅	C₂⁴	1	1	yes	characteristic
640	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
646	#689	—	2	2	no	—
647	#689	—	2	2	no	—
648	#689	—	2	2	no	—
649	#689	—	2	2	no	—
650	#689	—	2	2	no	—
651	#689	—	2	2	no	—
652	#689	—	4	1	no	—
653	#689	—	4	1	no	—
654	#689	#41	1	4	yes	—
655	#688	—	2	2	no	—
656	#688	—	4	1	no	—
657	#688	—	4	1	no	—
658	#687	—	2	2	no	—
659	#687	—	4	1	no	—
660	#687	—	4	1	no	—
661	#686	—	2	2	no	—
662	#685	—	2	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	C₄⋊Dic₅	—	2	1	no	—
671	C₄⋊Dic₅	—	2	1	no	—
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	#681	—	4	1	no	—
705	#681	—	4	1	no	—
706	C₂×#168	—	2	2	no	—
707	C₂×#168	—	2	2	no	—
708	C₂×#168	—	2	2	no	—
709	C₂×#168	—	4	1	no	—
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	C₂×#168	C₂⁴	1	1	yes	characteristic
714	C₂×#168	C₂⁴	1	1	yes	characteristic
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	C₂×#168	C₂⁴	1	1	yes	characteristic
717	C₂×#168	C₂⁴	1	1	yes	characteristic
718	C₂×#135	—	5	1	no	—
719	C₂²×Q₁₆	—	5	1	no	—
720	C₂²×Q₁₆	—	5	1	no	—
721	#557	—	5	1	no	—
722	#557	C₂×D₅	1	1	yes	characteristic
723	#556	—	2	1	no	—
724	#556	—	5	1	no	—
725	#556	—	10	1	no	—
726	#556	C₂×D₅	1	1	yes	characteristic
727	#554	—	2	1	no	—
728	#554	—	5	1	no	—
729	#554	—	10	1	no	—
730	#554	C₂×D₅	1	1	yes	characteristic
731	#553	—	2	1	no	—
732	#553	—	5	1	no	—
733	#553	—	10	1	no	—
734	#553	C₂×D₅	1	1	yes	characteristic
735	#552	—	2	1	no	—
736	#552	—	5	1	no	—
737	#552	—	10	1	no	—
738	#552	C₂×D₅	1	1	yes	characteristic
739	D₄×Q₈	—	5	1	no	—
740	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
741	#548	—	5	1	no	—
742	#548	—	5	1	no	—
743	#548	C₂×D₅	1	1	yes	characteristic
744	#548	C₂×D₅	1	1	yes	characteristic
745	#542	—	2	1	no	—
746	#542	—	5	1	no	—
747	#542	—	10	1	no	—
748	#542	C₂×D₅	1	1	yes	characteristic
749	#541	—	2	1	no	—
750	#541	—	5	1	no	—
751	#541	—	10	1	no	—
752	#541	C₂×D₅	1	1	yes	characteristic
753	#529	—	2	1	no	—
754	#529	—	2	1	no	—
755	#529	—	5	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#529	C₂×D₅	1	1	yes	characteristic
759	#529	C₂×D₅	1	1	yes	characteristic
760	#520	—	5	1	no	—
761	#520	C₂×D₅	1	1	yes	characteristic
762	#519	—	5	1	no	—
763	#519	C₂×D₅	1	1	yes	characteristic
764	C₂×C₄×Q₈	—	5	1	no	—
765	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
766	#500	—	5	1	no	—
767	#499	—	5	1	no	—
768	#499	—	5	1	no	—
769	#495	—	5	1	no	—
770	#495	—	5	1	no	—
771	#494	—	5	1	no	—
772	#491	—	5	1	no	—
773	#491	—	5	1	no	—
774	#489	—	5	1	no	—
775	#489	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#484	—	5	1	no	—
781	#484	—	5	1	no	—
782	#484	—	5	1	no	—
783	#484	—	5	1	no	—
784	#483	—	5	1	no	—
785	#483	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#481	—	5	1	no	—
789	#481	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#470	—	5	1	no	—
803	#470	—	5	1	no	—
804	#468	—	5	1	no	—
805	#468	—	5	1	no	—
806	#467	—	5	1	no	—
807	#467	—	5	1	no	—
808	#467	—	5	1	no	—
809	#467	—	5	1	no	—
810	#466	—	5	1	no	—
811	#466	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	—	5	1	no	—
821	#464	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	—	5	1	no	—
834	#448	—	5	1	no	—
835	#448	—	5	1	no	—
836	#448	—	5	1	no	—
837	#448	—	5	1	no	—
838	#446	—	5	1	no	—
839	C₈×Q₈	—	5	1	no	—
840	#441	—	5	1	no	—
841	#441	—	5	1	no	—
842	#441	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×Q₁₆	—	5	1	no	—
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×D₈	—	5	1	no	—
867	C₄×D₈	—	5	1	no	—
868	#436	—	5	1	no	—
869	#435	—	5	1	no	—
870	#435	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#432	—	5	1	no	—
877	#427	—	5	1	no	—
878	C₂×#107	—	5	1	no	—
879	C₂×#107	—	5	1	no	—
880	#419	—	5	1	no	—
881	#419	—	5	1	no	—
882	#417	—	5	1	no	—
883	#417	—	5	1	no	—
884	C₂×#103	—	5	1	no	—
885	C₂×#103	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	C₂×C₄×C₈	—	5	1	no	—
889	C₂³×C₅	—	2	1	no	—
890	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
891	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
892	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₅	—	2	1	no	—
894	C₅×Q₈	—	2	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	4	1	no	—
900	C₅×Q₈	—	4	2	no	—
901	C₅×Q₈	—	4	2	no	—
902	C₅×Q₈	—	8	1	no	—
903	C₅×Q₈	C₂×#41	1	2	yes	—
904	C₅×D₄	—	2	2	no	—
905	C₅×D₄	—	2	2	no	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	2	1	no	—
908	C₅×D₄	—	4	1	no	—
909	C₅×D₄	—	4	2	no	—
910	C₅×D₄	—	4	2	no	—
911	C₅×D₄	—	8	1	no	—
912	C₂×C₄×C₅	—	2	2	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	4	1	no	—
927	C₂×C₄×C₅	—	4	2	no	—
928	C₂×C₄×C₅	—	4	2	no	—
929	C₂×C₄×C₅	—	4	2	no	—
930	C₂×C₄×C₅	—	8	1	no	—
931	C₂×C₄×C₅	—	8	1	no	—
932	C₂×C₄×C₅	—	8	1	no	—
933	C₂×C₄×C₅	—	8	1	no	—
934	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
946	C₂²⋊D₅	—	4	2	no	—
947	C₂²⋊D₅	—	4	2	no	—
948	C₂²⋊D₅	—	8	1	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	2	1	no	—
951	C₂×Dic₅	—	2	1	no	—
952	C₂×Dic₅	—	2	1	no	—
953	C₂×Dic₅	—	2	1	no	—
954	C₂×Dic₅	—	2	1	no	—
955	C₂×Dic₅	—	2	1	no	—
956	C₂×Dic₅	—	4	2	no	—
957	C₂×Dic₅	—	4	2	no	—
958	C₂×Dic₅	—	8	1	no	—
959	C₂×Dic₅	—	8	1	no	—
960	D₂₀	—	2	1	no	—
961	D₂₀	—	2	1	no	—
962	C₄×D₅	—	4	2	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	Dic₁₀	—	2	1	no	—
966	Dic₁₀	—	2	1	no	—
967	Dic₁₀	—	2	1	no	—
968	Dic₁₀	—	2	1	no	—
969	Dic₁₀	—	2	1	no	—
970	Dic₁₀	—	4	2	no	—
971	Dic₁₀	—	4	2	no	—
972	Dic₁₀	—	8	1	no	—
973	Dic₁₀	C₂×#41	1	2	yes	—
974	#168	—	2	1	no	—
975	#168	—	2	1	no	—
976	#168	—	2	1	no	—
977	#168	—	2	1	no	—
978	#168	—	2	1	no	—
979	#168	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	C₂×#41	1	2	yes	—
982	C₂×#41	—	5	1	no	—
983	C₂×#41	C₂²×D₅	1	1	yes	characteristic
984	C₂²×Q₈	—	5	1	no	—
985	C₂²×Q₈	—	5	1	no	—
986	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
987	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
988	#135	—	10	4	no	—
989	C₂×Q₁₆	—	5	1	no	—
990	C₂×Q₁₆	—	5	1	no	—
991	C₂×Q₁₆	—	5	1	no	—
992	C₂×Q₁₆	—	5	1	no	—
993	C₂×Q₁₆	—	5	1	no	—
994	C₂×Q₁₆	—	5	1	no	—
995	C₂×Q₁₆	—	5	1	no	—
996	C₂×Q₁₆	—	5	1	no	—
997	C₂×Q₁₆	—	5	1	no	—
998	C₂×Q₁₆	—	10	4	no	—
999	C₂×Q₁₆	—	10	4	no	—
1000	C₂×SD₁₆	—	5	1	no	—
1001	C₂×SD₁₆	—	5	1	no	—
1002	C₂×SD₁₆	—	5	1	no	—
1003	C₂×SD₁₆	—	5	1	no	—
1004	C₂×SD₁₆	—	5	1	no	—
1005	C₂×SD₁₆	—	5	1	no	—
1006	C₂×D₈	—	5	1	no	—
1007	C₂×M₁₆	—	5	1	no	—
1008	C₂×M₁₆	—	5	1	no	—
1009	C₂²×C₈	—	5	1	no	—
1010	C₂²×C₈	—	5	1	no	—
1011	C₂²×C₈	—	5	1	no	—
1012	C₂²×C₈	—	5	1	no	—
1013	C₄⋊Q₈	—	2	1	no	—
1014	C₄⋊Q₈	—	2	1	no	—
1015	C₄⋊Q₈	—	5	1	no	—
1016	C₄⋊Q₈	—	5	1	no	—
1017	C₄⋊Q₈	—	10	1	no	—
1018	C₄⋊Q₈	—	10	1	no	—
1019	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1020	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1021	#126	—	2	1	no	—
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	2	1	no	—
1025	#126	—	2	1	no	—
1026	#126	—	2	1	no	—
1027	#126	—	2	1	no	—
1028	#126	—	2	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	C₂²⋊D₅	1	1	yes	characteristic
1038	#126	C₂²⋊D₅	1	1	yes	characteristic
1039	#125	—	2	1	no	—
1040	#125	—	2	1	no	—
1041	#125	—	2	1	no	—
1042	#125	—	2	1	no	—
1043	#125	—	2	1	no	—
1044	#125	—	2	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	5	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	C₂²⋊D₅	1	1	yes	characteristic
1054	#125	C₂²×D₅	1	1	yes	characteristic
1055	#125	C₂²×D₅	1	1	yes	characteristic
1056	#124	—	2	1	no	—
1057	#124	—	2	1	no	—
1058	#124	—	2	1	no	—
1059	#124	—	5	1	no	—
1060	#124	—	5	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	C₂²⋊D₅	1	1	yes	characteristic
1065	#124	C₂²×D₅	1	1	yes	characteristic
1066	#124	C₂²×D₅	1	1	yes	characteristic
1067	#123	—	2	1	no	—
1068	#123	—	2	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	2	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	C₂²⋊D₅	1	1	yes	characteristic
1076	#123	C₂²⋊D₅	1	1	yes	characteristic
1077	C₂²⋊Q₈	—	2	1	no	—
1078	C₂²⋊Q₈	—	2	1	no	—
1079	C₂²⋊Q₈	—	2	1	no	—
1080	C₂²⋊Q₈	—	2	1	no	—
1081	C₂²⋊Q₈	—	2	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	5	1	no	—
1086	C₂²⋊Q₈	—	5	1	no	—
1087	C₂²⋊Q₈	—	5	1	no	—
1088	C₂²⋊Q₈	—	5	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1098	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1102	#121	—	2	1	no	—
1103	#121	—	2	1	no	—
1104	#121	—	2	1	no	—
1105	#121	—	5	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	C₂²⋊D₅	1	1	yes	characteristic
1111	#121	C₂²×D₅	1	1	yes	characteristic
1112	#121	C₂²×D₅	1	1	yes	characteristic
1113	C₄×Q₈	—	2	1	no	—
1114	C₄×Q₈	—	2	1	no	—
1115	C₄×Q₈	—	2	1	no	—
1116	C₄×Q₈	—	2	1	no	—
1117	C₄×Q₈	—	2	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	5	1	no	—
1120	C₄×Q₈	—	5	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1132	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1134	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1138	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1159	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1160	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1161	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1162	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1163	#117	—	2	1	no	—
1164	#117	—	2	1	no	—
1165	#117	—	2	1	no	—
1166	#117	—	2	1	no	—
1167	#117	—	2	1	no	—
1168	#117	—	2	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	10	1	no	—
1171	#117	—	10	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	C₂²×D₅	1	1	yes	characteristic
1177	#117	C₂²×D₅	1	1	yes	characteristic
1178	#117	C₂²×D₅	1	1	yes	characteristic
1179	C₂×C₄⋊C₄	—	2	1	no	—
1180	C₂×C₄⋊C₄	—	2	1	no	—
1181	C₂×C₄⋊C₄	—	5	1	no	—
1182	C₂×C₄⋊C₄	—	5	1	no	—
1183	C₂×C₄⋊C₄	—	10	1	no	—
1184	C₂×C₄⋊C₄	—	10	1	no	—
1185	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1186	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1187	C₂×C₄²	—	2	1	no	—
1188	C₂×C₄²	—	10	1	no	—
1189	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1190	#107	—	5	1	no	—
1191	#107	—	5	1	no	—
1192	#107	—	5	1	no	—
1193	#107	—	5	1	no	—
1194	#107	—	5	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
1197	#107	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	—	5	1	no	—
1200	#106	—	5	1	no	—
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	—	5	1	no	—
1204	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	—	5	1	no	—
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	C₂²⋊C₈	—	5	1	no	—
1245	C₂²⋊C₈	—	5	1	no	—
1246	C₂²⋊C₈	—	5	1	no	—
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	#97	—	5	1	no	—
1251	#97	—	5	1	no	—
1252	#97	—	5	1	no	—
1253	#97	—	5	1	no	—
1254	C₄×C₈	—	5	1	no	—
1255	C₄×C₈	—	5	1	no	—
1256	C₄×C₈	—	5	1	no	—
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	—	5	1	no	—
1259	C₄×C₈	—	5	1	no	—
1260	C₂²×C₅	—	2	1	no	—
1261	C₂²×C₅	—	2	1	no	—
1262	C₂²×C₅	—	2	1	no	—
1263	C₂²×C₅	—	2	1	no	—
1264	C₂²×C₅	—	2	1	no	—
1265	C₂²×C₅	—	2	1	no	—
1266	C₂²×C₅	—	2	1	no	—
1267	C₂²×C₅	—	2	1	no	—
1268	C₂²×C₅	—	4	1	no	—
1269	C₂²×C₅	—	4	1	no	—
1270	C₂²×C₅	—	4	1	no	—
1271	C₂²×C₅	#578	1	2	yes	—
1272	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	4	1	no	—
1275	C₂×D₅	—	4	1	no	—
1276	C₄×C₅	—	2	1	no	—
1277	C₄×C₅	—	2	1	no	—
1278	C₄×C₅	—	2	1	no	—
1279	C₄×C₅	—	2	1	no	—
1280	C₄×C₅	—	2	1	no	—
1281	C₄×C₅	—	2	1	no	—
1282	C₄×C₅	—	2	1	no	—
1283	C₄×C₅	—	2	2	no	—
1284	C₄×C₅	—	2	1	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	—	4	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1295	C₄×C₅	#585	1	1	yes	characteristic
1296	Dic₅	—	2	2	no	—
1297	Dic₅	—	4	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	Dic₅	—	4	1	no	—
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	#41	—	2	2	no	—
1304	#41	—	4	1	no	—
1305	#41	—	10	2	no	—
1306	#41	—	20	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	2	no	—
1311	C₂×Q₈	—	2	2	no	—
1312	C₂×Q₈	—	4	1	no	—
1313	C₂×Q₈	—	4	1	no	—
1314	C₂×Q₈	—	5	1	no	—
1315	C₂×Q₈	—	5	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	10	2	no	—
1318	C₂×Q₈	—	10	2	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	20	1	no	—
1323	C₂×Q₈	—	20	1	no	—
1324	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1327	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	5	1	no	—
1332	C₂×D₄	—	10	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1336	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1337	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1338	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	10	1	no	—
1347	C₂²×C₄	—	10	1	no	—
1348	C₂²×C₄	—	10	1	no	—
1349	C₂²×C₄	—	10	1	no	—
1350	C₂²×C₄	—	10	1	no	—
1351	C₂²×C₄	—	10	1	no	—
1352	C₂²×C₄	—	10	1	no	—
1353	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1354	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1355	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1356	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1357	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1358	Q₁₆	—	5	4	no	—
1359	Q₁₆	—	10	2	no	—
1360	Q₁₆	—	10	2	no	—
1361	Q₁₆	—	10	2	no	—
1362	Q₁₆	—	10	2	no	—
1363	Q₁₆	—	10	2	no	—
1364	Q₁₆	—	10	2	no	—
1365	Q₁₆	—	20	1	no	—
1366	Q₁₆	—	20	1	no	—
1367	SD₁₆	—	10	2	no	—
1368	SD₁₆	—	10	2	no	—
1369	SD₁₆	—	20	1	no	—
1370	SD₁₆	—	20	1	no	—
1371	SD₁₆	—	20	1	no	—
1372	SD₁₆	—	20	1	no	—
1373	D₈	—	10	2	no	—
1374	M₁₆	—	20	1	no	—
1375	M₁₆	—	20	1	no	—
1376	C₂×C₈	—	5	1	no	—
1377	C₂×C₈	—	5	1	no	—
1378	C₂×C₈	—	5	1	no	—
1379	C₂×C₈	—	5	1	no	—
1380	C₂×C₈	—	5	1	no	—
1381	C₂×C₈	—	5	1	no	—
1382	C₂×C₈	—	5	1	no	—
1383	C₂×C₈	—	5	1	no	—
1384	C₂×C₈	—	10	2	no	—
1385	C₂×C₈	—	10	2	no	—
1386	C₂×C₈	—	10	2	no	—
1387	C₂×C₈	—	20	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1437	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1438	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1439	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1440	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1442	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1444	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1445	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1479	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1480	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1481	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1482	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1483	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	10	1	no	—
1494	C₄²	—	10	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	—	10	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	—	10	1	no	—
1502	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1503	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1504	C₄²	C₂³×D₅	1	1	yes	characteristic
1505	C₄²	C₂³×D₅	1	1	yes	characteristic
1506	C₄²	C₂³×D₅	1	1	yes	characteristic
1507	C₄²	C₂³×D₅	1	1	yes	characteristic
1508	C₂×C₅	—	2	2	no	—
1509	C₂×C₅	—	4	1	no	—
1510	C₂×C₅	—	4	1	no	—
1511	C₂×C₅	—	8	1	no	—
1512	C₂×C₅	D₄×#41	1	1	yes	characteristic
1513	C₂×C₅	C₂×#578	1	1	yes	characteristic
1514	C₂×C₅	#3584	1	1	yes	characteristic
1515	D₅	—	8	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	10	1	no	—
1518	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1519	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1520	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	4	1	no	—
1527	Q₈	—	4	2	no	—
1528	Q₈	—	4	2	no	—
1529	Q₈	—	5	2	no	—
1530	Q₈	—	8	1	no	—
1531	Q₈	—	10	1	no	—
1532	Q₈	—	10	1	no	—
1533	Q₈	—	10	1	no	—
1534	Q₈	—	10	1	no	—
1535	Q₈	—	10	1	no	—
1536	Q₈	—	20	2	no	—
1537	Q₈	—	20	2	no	—
1538	Q₈	—	40	1	no	—
1539	Q₈	D₅×#41	1	2	yes	—
1540	D₄	—	2	2	no	—
1541	D₄	—	2	2	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	2	no	—
1546	D₄	—	4	2	no	—
1547	D₄	—	8	1	no	—
1548	D₄	—	10	1	no	—
1549	D₄	—	10	1	no	—
1550	D₄	—	20	2	no	—
1551	D₄	—	20	2	no	—
1552	D₄	—	40	1	no	—
1553	C₂×C₄	—	2	2	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	4	1	no	—
1568	C₂×C₄	—	4	2	no	—
1569	C₂×C₄	—	4	2	no	—
1570	C₂×C₄	—	4	2	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	—	10	1	no	—
1576	C₂×C₄	—	10	1	no	—
1577	C₂×C₄	—	10	1	no	—
1578	C₂×C₄	—	10	1	no	—
1579	C₂×C₄	—	10	1	no	—
1580	C₂×C₄	—	10	1	no	—
1581	C₂×C₄	—	10	1	no	—
1582	C₂×C₄	—	20	2	no	—
1583	C₂×C₄	—	20	2	no	—
1584	C₂×C₄	—	20	2	no	—
1585	C₂×C₄	—	40	1	no	—
1586	C₂×C₄	—	40	1	no	—
1587	C₂×C₄	—	40	1	no	—
1588	C₂×C₄	—	40	1	no	—
1589	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1590	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1591	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1592	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1593	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1594	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1595	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1596	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1597	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1598	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1599	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1600	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1601	C₈	—	5	2	no	—
1602	C₈	—	10	1	no	—
1603	C₈	—	10	1	no	—
1604	C₈	—	10	1	no	—
1605	C₈	—	10	1	no	—
1606	C₈	—	10	1	no	—
1607	C₈	—	10	1	no	—
1608	C₈	—	10	1	no	—
1609	C₅	#61473	1	1	yes	characteristic, complemented, Sylow
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	20	1	no	—
1622	C₂²	—	20	1	no	—
1623	C₂²	—	20	1	no	—
1624	C₂²	#66172	1	2	yes	—
1625	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1626	C₄	—	2	1	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	2	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	10	2	no	—
1645	C₄	—	20	1	no	—
1646	C₄	—	20	1	no	—
1647	C₄	—	20	1	no	—
1648	C₄	—	20	1	no	—
1649	C₄	—	20	1	no	—
1650	C₄	—	20	1	no	—
1651	C₄	C₂×D₅×#41	1	1	yes	characteristic
1652	C₄	#66283	1	1	yes	characteristic
1653	C₂	—	2	2	no	—
1654	C₂	—	4	1	no	—
1655	C₂	—	4	1	no	—
1656	C₂	—	8	1	no	—
1657	C₂	—	40	1	no	—
1658	C₂	#41×C₂²⋊D₅	1	1	yes	characteristic
1659	C₂	C₂×#66172	1	1	yes	characteristic
1660	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×#3516	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3516	D₅
hypocenter	C₅	#61473
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3516

Complements

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

N	H ≅ G/N	type
1. C₅×#3516	C₂	semidirect
2. #10618025	C₂	semidirect
3. #10615431	C₂	semidirect
4. #10615413	C₂	semidirect
5. #10615409	C₂	semidirect
6. #10615401	C₂	semidirect
7. #10615372	C₂	semidirect
8. #10615354	C₂	semidirect
9. #10615351	C₂	semidirect
10. #10615338	C₂	semidirect
11. #10615336	C₂	semidirect
12. #10615321	C₂	semidirect
13. D₄×#689	C₂	semidirect
14. #10615284	C₂	semidirect
15. #10615280	C₂	semidirect
16. #10615280	C₂	semidirect
17. #10615272	C₂	semidirect
18. #10615269	C₂	semidirect
19. #10615198	C₂	semidirect
20. #10615188	C₂	semidirect
21. #10615177	C₂	semidirect
22. #10615175	C₂	semidirect
23. #10614884	C₂	semidirect
24. #10614865	C₂	semidirect
25. #10614857	C₂	semidirect
26. #10614306	C₂	semidirect
27. #10614288	C₂	semidirect
28. #10614283	C₂	semidirect
29. #10614280	C₂	semidirect
30. #10614176	C₂	semidirect
31. C₂×C₄×#689	C₂	semidirect
483. #3516	D₅	semidirect
1609. C₅	#61473	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3516	2
#10618025	2
#10615431	2
#10615413	2
#10615409	2
#10615401	2
#10615372	2
#10615354	2
#10615351	2
#10615338	2
#10615336	2
#10615321	2
D₄×#689	2
#10615284	2
#10615280	2
#10615272	2
#10615269	2
#10615198	2
#10615188	2
#10615177	2
#10615175	2
#10614884	2
#10614865	2
#10614857	2
#10614306	2
#10614288	2
#10614283	2
#10614280	2
#10614176	2
C₂×C₄×#689	2
#61473	5