Subgroups — #12995991

Order 1280.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3513	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618034	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615450	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615445	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615364	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615362	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615341	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615340	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615323	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615321	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615249	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615247	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615230	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615229	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615227	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615225	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615215	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615213	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615197	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615185	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615168	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615161	C₂	1	1	yes	maximal, characteristic, complemented
23	#10614880	C₂	1	1	yes	maximal, characteristic, complemented
24	#10614861	C₂	1	1	yes	maximal, characteristic, complemented
25	#10614854	C₂	1	1	yes	maximal, characteristic, complemented
26	#10614300	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614290	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614272	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614270	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614042	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65296	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic
33	C₅×#554	C₂²	1	1	yes	characteristic
34	C₅×#553	—	2	1	no	—
35	C₅×#553	C₂²	1	1	yes	characteristic
36	C₅×#552	C₂²	1	1	yes	characteristic
37	C₅×#551	—	2	1	no	—
38	C₅×#551	—	2	1	no	—
39	C₅×#547	C₂²	1	1	yes	characteristic
40	C₅×#546	—	2	1	no	—
41	C₅×#546	C₂²	1	1	yes	characteristic
42	C₅×#546	C₂²	1	1	yes	characteristic
43	C₅×D₄²	C₂²	1	1	yes	characteristic
44	C₅×#542	C₂²	1	1	yes	characteristic
45	C₅×#540	C₂²	1	1	yes	characteristic
46	C₅×#539	—	2	1	no	—
47	C₅×#538	—	2	1	no	—
48	C₅×#529	C₂²	1	1	yes	characteristic
49	C₅×#529	C₂²	1	1	yes	characteristic
50	C₅×#525	—	2	1	no	—
51	C₂×C₅×#123	—	2	1	no	—
52	C₅×#520	C₂²	1	1	yes	characteristic
53	C₅×#518	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
55	#66046	—	2	1	no	—
56	#66046	—	2	1	no	—
57	#66023	—	2	1	no	—
58	#66016	—	2	1	no	—
59	#65982	—	2	1	no	—
60	#65982	—	2	1	no	—
61	#65976	—	2	1	no	—
62	#65945	—	2	1	no	—
63	#65913	C₂²	1	1	yes	characteristic, complemented
64	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
65	#65897	C₂²	1	1	yes	characteristic, complemented
66	#65889	C₂²	1	1	yes	characteristic
67	#65889	C₂²	1	1	yes	characteristic, complemented
68	#65877	C₂²	1	1	yes	characteristic, complemented
69	#65875	C₂²	1	1	yes	characteristic
70	#65875	C₂²	1	1	yes	characteristic, complemented
71	#65868	C₂²	1	1	yes	characteristic, complemented
72	#65868	C₂²	1	1	yes	characteristic, complemented
73	#65853	C₂²	1	1	yes	characteristic, complemented
74	#65853	C₂²	1	1	yes	characteristic, complemented
75	#65813	C₂²	1	1	yes	characteristic, complemented
76	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
77	#65528	C₂²	1	1	yes	characteristic
78	#65527	C₂²	1	1	yes	characteristic
79	#65522	C₂²	1	1	yes	characteristic
80	#65521	C₂²	1	1	yes	characteristic
81	#65507	C₂²	1	1	yes	characteristic
82	#65507	C₂²	1	1	yes	characteristic
83	#65506	C₂²	1	1	yes	characteristic
84	#65506	C₂²	1	1	yes	characteristic
85	#65504	C₂²	1	1	yes	characteristic
86	C₂×#3964	C₂²	1	1	yes	characteristic
87	C₂×#3964	C₂²	1	1	yes	characteristic
88	C₂×#3964	C₂²	1	1	yes	characteristic
89	#65380	C₂²	1	1	yes	characteristic, complemented
90	#65376	C₂²	1	1	yes	characteristic, complemented
91	#65369	C₂²	1	1	yes	characteristic, complemented
92	#65367	C₂²	1	1	yes	characteristic, complemented
93	#65364	C₂²	1	1	yes	characteristic
94	#65361	C₂²	1	1	yes	characteristic
95	#65360	C₂²	1	1	yes	characteristic
96	#65359	C₂²	1	1	yes	characteristic
97	#65355	C₂²	1	1	yes	characteristic, complemented
98	#65355	C₂²	1	1	yes	characteristic, complemented
99	#65354	C₂²	1	1	yes	characteristic, complemented
100	#65354	C₂²	1	1	yes	characteristic, complemented
101	#65354	C₂²	1	1	yes	characteristic, complemented
102	#65353	C₂²	1	1	yes	characteristic, complemented
103	#65352	C₂²	1	1	yes	characteristic, complemented
104	#65352	C₂²	1	1	yes	characteristic, complemented
105	#65346	C₂²	1	1	yes	characteristic, complemented
106	#65346	C₂²	1	1	yes	characteristic, complemented
107	#65345	C₂²	1	1	yes	characteristic, complemented
108	#65344	C₂²	1	1	yes	characteristic, complemented
109	#65344	C₂²	1	1	yes	characteristic, complemented
110	#65344	C₂²	1	1	yes	characteristic, complemented
111	#65343	C₂²	1	1	yes	characteristic, complemented
112	#65343	C₂²	1	1	yes	characteristic, complemented
113	#65340	C₂²	1	1	yes	characteristic, complemented
114	#65340	C₂²	1	1	yes	characteristic, complemented
115	#65338	C₂²	1	1	yes	characteristic, complemented
116	#65337	C₂²	1	1	yes	characteristic, complemented
117	#65334	C₂²	1	1	yes	characteristic, complemented
118	#65333	C₂²	1	1	yes	characteristic, complemented
119	#65332	C₂²	1	1	yes	characteristic, complemented
120	#65332	C₂²	1	1	yes	characteristic, complemented
121	#65331	C₂²	1	1	yes	characteristic
122	#65331	C₂²	1	1	yes	characteristic, complemented
123	#65330	C₂²	1	1	yes	characteristic
124	#65330	C₂²	1	1	yes	characteristic, complemented
125	#65328	C₂²	1	1	yes	characteristic, complemented
126	#65327	C₂²	1	1	yes	characteristic
127	#65327	C₂²	1	1	yes	characteristic
128	#65327	C₂²	1	1	yes	characteristic, complemented
129	#65324	C₂²	1	1	yes	characteristic
130	#65324	C₂²	1	1	yes	characteristic, complemented
131	#65324	C₂²	1	1	yes	characteristic, complemented
132	#65323	C₂²	1	1	yes	characteristic, complemented
133	#65322	C₂²	1	1	yes	characteristic
134	#65322	C₂²	1	1	yes	characteristic
135	#65322	C₂²	1	1	yes	characteristic
136	#65322	C₂²	1	1	yes	characteristic, complemented
137	C₄×#689	C₂²	1	1	yes	characteristic, complemented
138	#65317	C₂²	1	1	yes	characteristic, complemented
139	#65315	C₂²	1	1	yes	characteristic, complemented
140	#65313	C₂²	1	1	yes	characteristic, complemented
141	#65313	C₂²	1	1	yes	characteristic, complemented
142	#65311	C₂²	1	1	yes	characteristic, complemented
143	#65311	C₂²	1	1	yes	characteristic, complemented
144	#65310	C₂²	1	1	yes	characteristic, complemented
145	#65310	C₂²	1	1	yes	characteristic, complemented
146	#65310	C₂²	1	1	yes	characteristic, complemented
147	#65307	C₂²	1	1	yes	characteristic
148	#65307	C₂²	1	1	yes	characteristic
149	#65307	C₂²	1	1	yes	characteristic, complemented
150	#65307	C₂²	1	1	yes	characteristic, complemented
151	C₄×#687	C₂²	1	1	yes	characteristic
152	#65305	C₂²	1	1	yes	characteristic
153	#65305	C₂²	1	1	yes	characteristic, complemented
154	#65305	C₂²	1	1	yes	characteristic, complemented
155	#65303	C₂²	1	1	yes	characteristic
156	#65303	C₂²	1	1	yes	characteristic
157	#65303	C₂²	1	1	yes	characteristic, complemented
158	C₄×#686	C₂²	1	1	yes	characteristic
159	C₄×#686	C₂²	1	1	yes	characteristic, complemented
160	#65300	C₂²	1	1	yes	characteristic
161	#65300	C₂²	1	1	yes	characteristic, complemented
162	#65300	C₂²	1	1	yes	characteristic, complemented
163	#65300	C₂²	1	1	yes	characteristic, complemented
164	D₄×#168	C₂²	1	1	yes	characteristic
165	D₄×#168	C₂²	1	1	yes	characteristic, complemented
166	#65298	C₂²	1	1	yes	characteristic
167	#65298	C₂²	1	1	yes	characteristic
168	#65298	C₂²	1	1	yes	characteristic
169	#65298	C₂²	1	1	yes	characteristic, complemented
170	#65298	C₂²	1	1	yes	characteristic, complemented
171	#65298	C₂²	1	1	yes	characteristic, complemented
172	#65297	C₂²	1	1	yes	characteristic
173	#65297	C₂²	1	1	yes	characteristic, complemented
174	#65297	C₂²	1	1	yes	characteristic, complemented
175	#65296	C₂²	1	1	yes	characteristic
176	#65296	C₂²	1	1	yes	characteristic
177	#65296	C₂²	1	1	yes	characteristic
178	#65296	C₂²	1	1	yes	characteristic
179	#65296	C₂²	1	1	yes	characteristic
180	#65296	C₂²	1	1	yes	characteristic, complemented
181	#65296	C₂²	1	1	yes	characteristic, complemented
182	#65296	C₂²	1	1	yes	characteristic, complemented
183	#65296	C₂²	1	1	yes	characteristic, complemented
184	#65296	C₂²	1	1	yes	characteristic, complemented
185	#65292	C₂²	1	1	yes	characteristic, complemented
186	#65289	C₂²	1	1	yes	characteristic, complemented
187	#65289	C₂²	1	1	yes	characteristic, complemented
188	#65288	C₂²	1	1	yes	characteristic, complemented
189	#65288	C₂²	1	1	yes	characteristic, complemented
190	#65287	C₂²	1	1	yes	characteristic, complemented
191	#65285	C₂²	1	1	yes	characteristic, complemented
192	#65284	C₂²	1	1	yes	characteristic, complemented
193	#65260	C₂²	1	1	yes	characteristic, complemented
194	#65259	C₂²	1	1	yes	characteristic, complemented
195	#65256	C₂²	1	1	yes	characteristic, complemented
196	#65256	C₂²	1	1	yes	characteristic, complemented
197	#65253	C₂²	1	1	yes	characteristic, complemented
198	C₂×#3939	C₂²	1	1	yes	characteristic, complemented
199	C₂×#3939	C₂²	1	1	yes	characteristic, complemented
200	C₂×#3939	C₂²	1	1	yes	characteristic, complemented
201	#65215	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic, complemented
203	#62155	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	—	2	1	no	—
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₅	—	2	1	no	—
210	C₂×#711	—	2	1	no	—
211	C₂×#711	—	2	1	no	—
212	C₂²×Dic₁₀	—	2	1	no	—
213	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₅×#127	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
220	C₅×#126	D₄	1	1	yes	characteristic
221	C₅×#125	—	2	1	no	—
222	C₅×#125	D₄	1	1	yes	characteristic
223	C₅×#125	C₂³	1	1	yes	characteristic
224	C₅×#125	C₂³	1	1	yes	characteristic
225	C₅×#124	—	2	1	no	—
226	C₅×#124	—	2	1	no	—
227	C₅×#124	D₄	1	1	yes	characteristic
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×#123	—	2	1	no	—
231	C₅×#123	—	2	1	no	—
232	C₅×#123	—	2	1	no	—
233	C₅×#123	—	2	1	no	—
234	C₅×#123	—	2	1	no	—
235	C₅×#123	—	2	1	no	—
236	C₅×#123	—	2	1	no	—
237	C₅×#123	—	2	1	no	—
238	C₅×#123	—	2	1	no	—
239	C₅×#123	—	2	1	no	—
240	C₅×#123	—	2	1	no	—
241	C₅×#123	—	2	1	no	—
242	C₅×#123	D₄	1	1	yes	characteristic
243	C₅×#123	D₄	1	1	yes	characteristic
244	C₅×C₂²⋊Q₈	—	2	1	no	—
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	D₄	1	1	yes	characteristic
250	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₅×#121	—	2	1	no	—
253	C₅×#121	—	2	1	no	—
254	C₅×#121	—	2	1	no	—
255	C₅×#121	—	2	1	no	—
256	C₅×#121	—	2	1	no	—
257	C₅×#121	—	2	1	no	—
258	C₅×#121	D₄	1	1	yes	characteristic
259	C₅×#121	C₂³	1	1	yes	characteristic
260	C₅×#121	C₂³	1	1	yes	characteristic
261	C₅×#121	C₂³	1	1	yes	characteristic
262	C₅×#121	C₂³	1	1	yes	characteristic
263	C₅×#120	—	2	1	no	—
264	C₅×#120	—	2	1	no	—
265	C₅×#120	—	2	1	no	—
266	C₅×#120	—	2	1	no	—
267	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
268	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
269	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
270	C₄×C₅×D₄	—	2	1	no	—
271	C₄×C₅×D₄	—	2	1	no	—
272	C₄×C₅×D₄	—	2	1	no	—
273	C₄×C₅×D₄	—	2	1	no	—
274	C₄×C₅×D₄	—	2	1	no	—
275	C₄×C₅×D₄	—	2	1	no	—
276	C₄×C₅×D₄	—	2	1	no	—
277	C₄×C₅×D₄	—	2	1	no	—
278	C₄×C₅×D₄	—	2	1	no	—
279	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
280	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
281	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
282	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
283	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
284	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
285	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
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	C₅×#117	—	2	1	no	—
291	C₅×#117	—	2	1	no	—
292	C₅×#117	—	2	1	no	—
293	C₅×#117	C₂³	1	1	yes	characteristic
294	C₅×#117	C₂³	1	1	yes	characteristic
295	C₅×#117	C₂³	1	1	yes	characteristic
296	C₂×C₅×C₄⋊C₄	—	2	1	no	—
297	C₂×C₅×C₄⋊C₄	—	2	1	no	—
298	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
302	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
303	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
306	#4092	—	2	1	no	—
307	Q₈×Dic₅	—	2	1	no	—
308	C₂×#689	C₂³	1	1	yes	characteristic
309	C₂×#688	C₂³	1	1	yes	characteristic
310	#4084	—	2	1	no	—
311	#4081	—	2	1	no	—
312	#4081	—	2	1	no	—
313	D₄×Dic₅	—	2	1	no	—
314	C₂×#687	C₂³	1	1	yes	characteristic
315	C₂×#687	C₂³	1	1	yes	characteristic
316	C₂×#687	C₂³	1	1	yes	characteristic
317	C₂×#686	C₂³	1	1	yes	characteristic
318	C₂×#686	C₂³	1	1	yes	characteristic
319	C₂×#686	C₂³	1	1	yes	characteristic
320	#4076	C₂³	1	1	yes	characteristic
321	#4076	C₂³	1	1	yes	characteristic
322	#4076	C₂³	1	1	yes	characteristic
323	#4075	—	2	1	no	—
324	C₄×C₂²⋊D₅	—	2	1	no	—
325	#4072	C₂³	1	1	yes	characteristic
326	#4072	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊Dic₅	—	2	1	no	—
328	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
332	#4070	C₂³	1	1	yes	characteristic
333	#4070	C₂³	1	1	yes	characteristic
334	#4070	C₂³	1	1	yes	characteristic
335	C₂×#681	C₂³	1	1	yes	characteristic
336	C₂×#681	C₂³	1	1	yes	characteristic
337	C₂²×#168	C₂³	1	1	yes	characteristic
338	C₂²×#168	C₂³	1	1	yes	characteristic
339	C₂²×#168	C₂³	1	1	yes	characteristic
340	C₂²×#168	C₂³	1	1	yes	characteristic
341	#4044	—	2	1	no	—
342	#4044	—	2	1	no	—
343	#4043	—	2	1	no	—
344	#4043	—	2	1	no	—
345	#4042	—	2	1	no	—
346	#4042	—	2	1	no	—
347	#4042	—	2	1	no	—
348	#4042	—	2	1	no	—
349	#4038	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	#4036	—	2	1	no	—
352	#4036	—	2	1	no	—
353	#4036	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4035	—	2	1	no	—
356	#4034	—	2	1	no	—
357	#4034	—	2	1	no	—
358	#4034	—	2	1	no	—
359	#4034	—	2	1	no	—
360	#4034	—	2	1	no	—
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4032	—	2	1	no	—
364	#4032	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4025	—	2	1	no	—
372	#4025	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4023	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4022	—	2	1	no	—
382	#4021	C₂³	1	1	yes	characteristic
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	C₂³	1	1	yes	characteristic
386	#4018	—	2	1	no	—
387	#4016	C₂³	1	1	yes	characteristic
388	#4016	C₂³	1	1	yes	characteristic
389	#4016	C₂³	1	1	yes	characteristic
390	#4015	—	2	1	no	—
391	#4015	—	2	1	no	—
392	#4015	C₂³	1	1	yes	characteristic
393	#4015	C₂³	1	1	yes	characteristic
394	#4015	C₂³	1	1	yes	characteristic
395	#4015	C₂³	1	1	yes	characteristic
396	#4015	C₂³	1	1	yes	characteristic
397	#4015	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	#3967	C₂³	1	1	yes	characteristic
402	#3967	C₂³	1	1	yes	characteristic
403	#3967	C₂³	1	1	yes	characteristic
404	#3967	C₂³	1	1	yes	characteristic
405	#3967	C₂³	1	1	yes	characteristic
406	#3967	C₂³	1	1	yes	characteristic
407	#3964	C₂³	1	1	yes	characteristic
408	#3964	C₂³	1	1	yes	characteristic
409	#3964	C₂³	1	1	yes	characteristic
410	#3964	C₂³	1	1	yes	characteristic
411	#3964	C₂³	1	1	yes	characteristic
412	#3964	C₂³	1	1	yes	characteristic
413	#3964	C₂³	1	1	yes	characteristic
414	#3964	C₂³	1	1	yes	characteristic
415	#3964	C₂³	1	1	yes	characteristic
416	#3964	C₂³	1	1	yes	characteristic
417	#3964	C₂³	1	1	yes	characteristic
418	#3964	C₂³	1	1	yes	characteristic
419	#3964	C₂³	1	1	yes	characteristic
420	#3964	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	C₂²⋊#168	C₂³	1	1	yes	characteristic
426	C₂²⋊#168	C₂³	1	1	yes	characteristic
427	C₂²⋊#168	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	#3942	C₂³	1	1	yes	characteristic
432	#3942	C₂³	1	1	yes	characteristic
433	#3942	C₂³	1	1	yes	characteristic
434	#3942	C₂³	1	1	yes	characteristic
435	#3941	C₂³	1	1	yes	characteristic
436	#3941	C₂³	1	1	yes	characteristic
437	#3941	C₂³	1	1	yes	characteristic
438	#3941	C₂³	1	1	yes	characteristic
439	#3940	C₂³	1	1	yes	characteristic
440	#3940	C₂³	1	1	yes	characteristic
441	#3940	C₂³	1	1	yes	characteristic
442	#3940	C₂³	1	1	yes	characteristic
443	#3940	C₂³	1	1	yes	characteristic
444	#3940	C₂³	1	1	yes	characteristic
445	#3940	C₂³	1	1	yes	characteristic
446	#3940	C₂³	1	1	yes	characteristic
447	#3939	C₂³	1	1	yes	characteristic
448	#3939	C₂³	1	1	yes	characteristic
449	#3939	C₂³	1	1	yes	characteristic
450	#3939	C₂³	1	1	yes	characteristic
451	#3939	C₂³	1	1	yes	characteristic
452	#3939	C₂³	1	1	yes	characteristic
453	#3939	C₂³	1	1	yes	characteristic
454	#3939	C₂³	1	1	yes	characteristic
455	#3939	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	C₄⋊#168	C₂³	1	1	yes	characteristic
464	C₄⋊#168	C₂³	1	1	yes	characteristic
465	C₄⋊#168	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	C₄⋊#168	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	#3935	C₂³	1	1	yes	characteristic
477	C₄×#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3544	—	5	1	no	—
480	#3513	D₅	1	1	yes	characteristic, complemented
481	#3389	—	5	1	no	—
482	#3385	—	5	1	no	—
483	#3375	—	5	1	no	—
484	#3370	—	5	1	no	—
485	#3347	—	5	1	no	—
486	#3346	—	5	1	no	—
487	#3343	—	5	1	no	—
488	#3343	—	5	1	no	—
489	#3336	—	5	1	no	—
490	#3334	—	5	1	no	—
491	#3319	—	5	1	no	—
492	#3314	—	5	1	no	—
493	#3310	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3294	—	5	1	no	—
497	#3262	—	5	1	no	—
498	#3257	—	5	1	no	—
499	#3250	—	5	1	no	—
500	#3243	—	5	1	no	—
501	#3241	—	5	1	no	—
502	#3238	—	5	1	no	—
503	#3124	—	5	1	no	—
504	#3118	—	5	1	no	—
505	#3114	—	5	1	no	—
506	#3083	—	5	1	no	—
507	#3081	—	5	1	no	—
508	C₂×#474	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂⁴×C₅	—	2	1	no	—
511	C₂⁴×C₅	—	2	1	no	—
512	C₅×#41	—	2	2	no	—
513	C₅×#41	—	4	1	no	—
514	C₅×#41	—	8	2	no	—
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×D₄	—	2	2	no	—
519	C₂×C₅×D₄	—	2	2	no	—
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
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	—	4	1	no	—
530	C₂×C₅×D₄	—	4	1	no	—
531	C₂×C₅×D₄	—	8	2	no	—
532	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
533	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
535	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	—	2	1	no	—
544	C₂²×C₄×C₅	—	2	1	no	—
545	C₂²×C₄×C₅	—	2	1	no	—
546	C₂²×C₄×C₅	—	2	1	no	—
547	C₂²×C₄×C₅	—	2	1	no	—
548	C₂²×C₄×C₅	—	2	1	no	—
549	C₂²×C₄×C₅	—	8	2	no	—
550	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
552	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	#711	—	8	2	no	—
563	#711	—	8	2	no	—
564	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×Dic₁₀	—	2	1	no	—
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	8	2	no	—
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	—	2	1	no	—
620	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	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₄²×C₅	—	2	1	no	—
631	C₄²×C₅	—	2	1	no	—
632	C₄²×C₅	—	2	1	no	—
633	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
634	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₅	C₂⁴	1	1	yes	characteristic
636	C₄²×C₅	C₂⁴	1	1	yes	characteristic
637	C₄²×C₅	C₂⁴	1	1	yes	characteristic
638	C₄²×C₅	C₂⁴	1	1	yes	characteristic
639	C₂²⋊Dic₅	—	2	1	no	—
640	C₂²⋊Dic₅	—	2	1	no	—
641	C₂²⋊Dic₅	—	2	1	no	—
642	C₂²⋊Dic₅	—	2	1	no	—
643	C₂²⋊Dic₅	—	2	1	no	—
644	#689	—	4	1	no	—
645	#688	—	4	1	no	—
646	#687	—	2	2	no	—
647	#687	—	4	1	no	—
648	#687	—	4	1	no	—
649	#686	—	2	2	no	—
650	#686	—	4	1	no	—
651	#686	—	4	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	#681	—	4	1	no	—
694	#681	—	4	1	no	—
695	C₂×#168	—	4	1	no	—
696	C₂×#168	—	4	1	no	—
697	C₂×#168	—	4	1	no	—
698	C₂×#168	—	4	1	no	—
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	#563	—	10	1	no	—
708	#563	—	10	1	no	—
709	#559	C₂×D₅	1	1	yes	characteristic
710	Q₈²	—	5	1	no	—
711	#555	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	C₂×D₅	1	1	yes	characteristic
715	#553	—	2	1	no	—
716	#553	C₂×D₅	1	1	yes	characteristic
717	#552	—	5	1	no	—
718	#552	—	5	1	no	—
719	#552	—	10	1	no	—
720	#552	C₂×D₅	1	1	yes	characteristic
721	#551	—	2	1	no	—
722	#551	—	2	1	no	—
723	#547	—	5	1	no	—
724	#547	—	5	1	no	—
725	#547	—	10	1	no	—
726	#547	C₂×D₅	1	1	yes	characteristic
727	#546	—	2	1	no	—
728	#546	C₂×D₅	1	1	yes	characteristic
729	#546	C₂×D₅	1	1	yes	characteristic
730	D₄²	C₂×D₅	1	1	yes	characteristic
731	#544	—	5	1	no	—
732	#544	—	5	1	no	—
733	#544	—	10	1	no	—
734	#542	—	5	1	no	—
735	#542	—	5	1	no	—
736	#542	—	10	1	no	—
737	#542	C₂×D₅	1	1	yes	characteristic
738	#540	C₂×D₅	1	1	yes	characteristic
739	#539	—	2	1	no	—
740	#538	—	2	1	no	—
741	#536	—	10	1	no	—
742	#536	—	10	1	no	—
743	C₂×C₄⋊Q₈	—	5	1	no	—
744	#529	—	5	1	no	—
745	#529	C₂×D₅	1	1	yes	characteristic
746	#529	C₂×D₅	1	1	yes	characteristic
747	#525	—	2	1	no	—
748	C₂×#123	—	2	1	no	—
749	#520	C₂×D₅	1	1	yes	characteristic
750	#518	C₂×D₅	1	1	yes	characteristic
751	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
752	#501	—	5	1	no	—
753	#501	—	5	1	no	—
754	#501	—	5	1	no	—
755	#501	—	5	1	no	—
756	#500	—	5	1	no	—
757	#499	—	5	1	no	—
758	#490	—	5	1	no	—
759	#489	—	5	1	no	—
760	#489	—	5	1	no	—
761	#489	—	5	1	no	—
762	#488	—	5	1	no	—
763	#486	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#484	—	5	1	no	—
767	#484	—	5	1	no	—
768	#483	—	5	1	no	—
769	#483	—	5	1	no	—
770	#483	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#481	—	5	1	no	—
776	#480	—	5	1	no	—
777	#480	—	5	1	no	—
778	#480	—	5	1	no	—
779	#480	—	5	1	no	—
780	#480	—	5	1	no	—
781	#480	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#474	—	5	1	no	—
802	#474	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#469	—	5	1	no	—
813	#468	—	5	1	no	—
814	#468	—	5	1	no	—
815	#468	—	5	1	no	—
816	#467	—	5	1	no	—
817	#467	—	5	1	no	—
818	#466	—	5	1	no	—
819	#466	—	5	1	no	—
820	#466	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#464	—	5	1	no	—
825	#464	—	5	1	no	—
826	#464	—	5	1	no	—
827	#463	—	5	1	no	—
828	#463	—	5	1	no	—
829	#463	—	5	1	no	—
830	#463	—	5	1	no	—
831	#463	—	5	1	no	—
832	#460	—	5	1	no	—
833	#459	—	5	1	no	—
834	#452	—	5	1	no	—
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#449	—	5	1	no	—
838	#447	—	5	1	no	—
839	#447	—	5	1	no	—
840	#446	—	5	1	no	—
841	#446	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	C₄×Q₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×D₈	—	5	1	no	—
853	C₄×D₈	—	5	1	no	—
854	#435	—	5	1	no	—
855	#435	—	5	1	no	—
856	#435	—	5	1	no	—
857	#435	—	5	1	no	—
858	C₈×D₄	—	5	1	no	—
859	C₈×D₄	—	5	1	no	—
860	#433	—	5	1	no	—
861	#433	—	5	1	no	—
862	#432	—	5	1	no	—
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	#427	—	5	1	no	—
866	C₂×#107	—	5	1	no	—
867	C₂×#107	—	5	1	no	—
868	C₂×#107	—	5	1	no	—
869	#424	—	5	1	no	—
870	#424	—	5	1	no	—
871	C₂×C₄⋊C₈	—	5	1	no	—
872	#418	—	5	1	no	—
873	#417	—	5	1	no	—
874	#416	—	5	1	no	—
875	C₂×#102	—	5	1	no	—
876	C₂×#102	—	5	1	no	—
877	C₂×#102	—	5	1	no	—
878	C₂³×C₅	—	2	1	no	—
879	C₂³×C₅	—	2	1	no	—
880	C₂³×C₅	—	2	1	no	—
881	C₂³×C₅	—	4	2	no	—
882	C₂³×C₅	—	4	2	no	—
883	C₂³×C₅	—	4	2	no	—
884	C₂³×C₅	—	8	1	no	—
885	C₂³×C₅	—	8	1	no	—
886	C₂³×C₅	—	8	1	no	—
887	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
888	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
889	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
890	C₂²×D₅	—	2	1	no	—
891	C₅×Q₈	—	2	1	no	—
892	C₅×Q₈	—	2	1	no	—
893	C₅×Q₈	—	4	1	no	—
894	C₅×Q₈	—	8	1	no	—
895	C₅×D₄	—	2	2	no	—
896	C₅×D₄	—	2	2	no	—
897	C₅×D₄	—	2	1	no	—
898	C₅×D₄	—	2	1	no	—
899	C₅×D₄	—	2	1	no	—
900	C₅×D₄	—	2	1	no	—
901	C₅×D₄	—	2	1	no	—
902	C₅×D₄	—	4	1	no	—
903	C₅×D₄	—	4	2	no	—
904	C₅×D₄	—	4	2	no	—
905	C₅×D₄	—	4	2	no	—
906	C₅×D₄	—	4	2	no	—
907	C₅×D₄	—	8	1	no	—
908	C₅×D₄	—	8	1	no	—
909	C₅×D₄	—	8	1	no	—
910	C₅×D₄	—	8	1	no	—
911	C₅×D₄	—	8	1	no	—
912	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
913	C₂×C₄×C₅	—	2	2	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	—	4	1	no	—
926	C₂×C₄×C₅	—	4	2	no	—
927	C₂×C₄×C₅	—	4	2	no	—
928	C₂×C₄×C₅	—	8	1	no	—
929	C₂×C₄×C₅	—	8	1	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	—	8	1	no	—
935	C₂×C₄×C₅	—	8	1	no	—
936	C₂×C₄×C₅	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
949	C₂²⋊D₅	—	4	2	no	—
950	C₂²⋊D₅	—	8	1	no	—
951	C₂²⋊D₅	—	8	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	—	2	1	no	—
957	C₂×Dic₅	—	2	1	no	—
958	C₂×Dic₅	—	2	1	no	—
959	C₂×Dic₅	—	4	2	no	—
960	C₂×Dic₅	—	4	2	no	—
961	C₂×Dic₅	—	8	1	no	—
962	C₂×Dic₅	—	8	1	no	—
963	D₂₀	—	2	1	no	—
964	D₂₀	—	2	1	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	Dic₁₀	—	2	1	no	—
969	Dic₁₀	—	2	1	no	—
970	Dic₁₀	—	8	1	no	—
971	Dic₁₀	—	8	1	no	—
972	Dic₁₀	—	8	1	no	—
973	Dic₁₀	—	8	1	no	—
974	Dic₁₀	—	8	1	no	—
975	Dic₁₀	—	8	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	—	2	1	no	—
982	#168	—	2	1	no	—
983	#168	—	2	1	no	—
984	C₂×#41	—	2	1	no	—
985	C₂×#41	—	10	1	no	—
986	C₂×#41	—	10	1	no	—
987	C₂×#41	C₂²×D₅	1	1	yes	characteristic
988	C₂²×Q₈	—	10	1	no	—
989	C₂²×D₄	—	2	1	no	—
990	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
991	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
992	C₂³×C₄	—	2	1	no	—
993	C₂×Q₁₆	—	5	1	no	—
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	—	5	1	no	—
997	C₂×SD₁₆	—	5	1	no	—
998	C₂×D₈	—	5	1	no	—
999	C₂×D₈	—	5	1	no	—
1000	C₂×D₈	—	5	1	no	—
1001	C₂×M₁₆	—	5	1	no	—
1002	C₂×M₁₆	—	5	1	no	—
1003	C₂²×C₈	—	5	1	no	—
1004	C₂²×C₈	—	5	1	no	—
1005	C₂²×C₈	—	5	1	no	—
1006	C₂²×C₈	—	5	1	no	—
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	5	1	no	—
1012	C₄⋊Q₈	—	5	1	no	—
1013	C₄⋊Q₈	—	10	1	no	—
1014	C₄⋊Q₈	—	10	1	no	—
1015	C₄⋊Q₈	—	10	1	no	—
1016	C₄⋊Q₈	—	10	1	no	—
1017	C₄⋊Q₈	—	10	1	no	—
1018	C₄⋊Q₈	—	10	1	no	—
1019	C₄⋊Q₈	—	10	1	no	—
1020	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1021	#127	C₂²×D₅	1	1	yes	characteristic
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	2	1	no	—
1025	#126	—	2	1	no	—
1026	#126	—	10	1	no	—
1027	#126	—	10	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	C₂²⋊D₅	1	1	yes	characteristic
1032	#126	C₂²⋊D₅	1	1	yes	characteristic
1033	#125	—	2	1	no	—
1034	#125	—	5	1	no	—
1035	#125	—	5	1	no	—
1036	#125	—	5	1	no	—
1037	#125	—	10	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#125	—	10	1	no	—
1041	#125	—	10	1	no	—
1042	#125	C₂²⋊D₅	1	1	yes	characteristic
1043	#125	C₂²×D₅	1	1	yes	characteristic
1044	#125	C₂²×D₅	1	1	yes	characteristic
1045	#124	—	2	1	no	—
1046	#124	—	2	1	no	—
1047	#124	—	5	1	no	—
1048	#124	—	10	1	no	—
1049	#124	—	10	1	no	—
1050	#124	—	10	1	no	—
1051	#124	—	10	1	no	—
1052	#124	C₂²⋊D₅	1	1	yes	characteristic
1053	#124	C₂²×D₅	1	1	yes	characteristic
1054	#124	C₂²×D₅	1	1	yes	characteristic
1055	#123	—	2	1	no	—
1056	#123	—	2	1	no	—
1057	#123	—	2	1	no	—
1058	#123	—	2	1	no	—
1059	#123	—	2	1	no	—
1060	#123	—	2	1	no	—
1061	#123	—	2	1	no	—
1062	#123	—	2	1	no	—
1063	#123	—	2	1	no	—
1064	#123	—	2	1	no	—
1065	#123	—	2	1	no	—
1066	#123	—	2	1	no	—
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	C₂²⋊D₅	1	1	yes	characteristic
1077	#123	C₂²⋊D₅	1	1	yes	characteristic
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	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	1	no	—
1085	C₂²⋊Q₈	—	5	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	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	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
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	—	2	1	no	—
1106	#121	—	2	1	no	—
1107	#121	—	2	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	10	1	no	—
1112	#121	C₂²⋊D₅	1	1	yes	characteristic
1113	#121	C₂²×D₅	1	1	yes	characteristic
1114	#121	C₂²×D₅	1	1	yes	characteristic
1115	#121	C₂²×D₅	1	1	yes	characteristic
1116	#121	C₂²×D₅	1	1	yes	characteristic
1117	#120	—	2	1	no	—
1118	#120	—	2	1	no	—
1119	#120	—	2	1	no	—
1120	#120	—	2	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1126	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1128	C₄×D₄	—	2	1	no	—
1129	C₄×D₄	—	2	1	no	—
1130	C₄×D₄	—	2	1	no	—
1131	C₄×D₄	—	2	1	no	—
1132	C₄×D₄	—	2	1	no	—
1133	C₄×D₄	—	2	1	no	—
1134	C₄×D₄	—	2	1	no	—
1135	C₄×D₄	—	2	1	no	—
1136	C₄×D₄	—	2	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1143	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1145	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1146	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1147	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1148	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1149	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1150	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1151	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1152	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1153	#117	—	2	1	no	—
1154	#117	—	2	1	no	—
1155	#117	—	2	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	C₂²×D₅	1	1	yes	characteristic
1163	#117	C₂²×D₅	1	1	yes	characteristic
1164	#117	C₂²×D₅	1	1	yes	characteristic
1165	C₂×C₄⋊C₄	—	2	1	no	—
1166	C₂×C₄⋊C₄	—	2	1	no	—
1167	C₂×C₄⋊C₄	—	5	1	no	—
1168	C₂×C₄⋊C₄	—	5	1	no	—
1169	C₂×C₄⋊C₄	—	5	1	no	—
1170	C₂×C₄⋊C₄	—	5	1	no	—
1171	C₂×C₄⋊C₄	—	10	1	no	—
1172	C₂×C₄⋊C₄	—	10	1	no	—
1173	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1174	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	—	2	1	no	—
1176	C₂×C₂²⋊C₄	—	2	1	no	—
1177	C₂×C₂²⋊C₄	—	2	1	no	—
1178	C₂×C₂²⋊C₄	—	2	1	no	—
1179	C₂×C₂²⋊C₄	—	2	1	no	—
1180	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	—	5	1	no	—
1188	#107	—	5	1	no	—
1189	#107	—	5	1	no	—
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	#106	—	5	1	no	—
1198	#106	—	5	1	no	—
1199	#106	—	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	C₄⋊C₈	—	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	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	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	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	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	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	—	5	1	no	—
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	#97	—	5	1	no	—
1254	#97	—	5	1	no	—
1255	#97	—	5	1	no	—
1256	#97	—	5	1	no	—
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	—	5	1	no	—
1259	C₂²×C₅	—	2	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	2	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	—	4	1	no	—
1272	C₂²×C₅	—	4	1	no	—
1273	C₂²×C₅	—	4	1	no	—
1274	C₂²×C₅	—	4	1	no	—
1275	C₂²×C₅	—	4	1	no	—
1276	C₂²×C₅	—	8	4	no	—
1277	C₂²×C₅	—	16	2	no	—
1278	C₂²×C₅	#576	1	2	yes	—
1279	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1280	C₂×D₅	—	4	1	no	—
1281	C₂×D₅	—	4	1	no	—
1282	C₂×D₅	—	4	1	no	—
1283	C₄×C₅	—	2	1	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	—	2	1	no	—
1289	C₄×C₅	—	2	1	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	2	1	no	—
1293	C₄×C₅	—	2	1	no	—
1294	C₄×C₅	—	4	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	—	4	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1300	C₄×C₅	#585	1	1	yes	characteristic
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	Dic₅	—	4	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	—	4	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	C₂⁴	—	2	1	no	—
1309	C₂⁴	—	2	1	no	—
1310	#41	—	2	2	no	—
1311	#41	—	4	1	no	—
1312	#41	—	8	2	no	—
1313	#41	—	40	2	no	—
1314	#41	—	40	2	no	—
1315	C₂×Q₈	—	2	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	10	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	40	2	no	—
1324	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×D₄	—	2	2	no	—
1327	C₂×D₄	—	2	2	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	2	1	no	—
1332	C₂×D₄	—	2	1	no	—
1333	C₂×D₄	—	2	1	no	—
1334	C₂×D₄	—	2	1	no	—
1335	C₂×D₄	—	2	1	no	—
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	4	1	no	—
1338	C₂×D₄	—	4	1	no	—
1339	C₂×D₄	—	5	1	no	—
1340	C₂×D₄	—	8	2	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1345	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1346	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1347	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1348	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1349	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	8	2	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1370	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1371	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1373	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1374	Q₁₆	—	20	1	no	—
1375	SD₁₆	—	10	2	no	—
1376	SD₁₆	—	20	1	no	—
1377	SD₁₆	—	20	1	no	—
1378	SD₁₆	—	20	1	no	—
1379	D₈	—	10	2	no	—
1380	D₈	—	20	1	no	—
1381	D₈	—	20	1	no	—
1382	M₁₆	—	20	1	no	—
1383	M₁₆	—	20	1	no	—
1384	C₂×C₈	—	5	1	no	—
1385	C₂×C₈	—	5	1	no	—
1386	C₂×C₈	—	5	1	no	—
1387	C₂×C₈	—	5	1	no	—
1388	C₂×C₈	—	5	1	no	—
1389	C₂×C₈	—	5	1	no	—
1390	C₂×C₈	—	5	1	no	—
1391	C₂×C₈	—	5	1	no	—
1392	C₂×C₈	—	20	1	no	—
1393	C₂×C₈	—	20	1	no	—
1394	C₂×C₈	—	20	1	no	—
1395	C₂×C₈	—	20	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	—	5	1	no	—
1408	C₄⋊C₄	—	5	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	—	10	1	no	—
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	C₂×C₂²⋊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	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	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	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
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	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1489	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1490	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1500	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1501	C₄²	C₂³×D₅	1	1	yes	characteristic
1502	C₄²	C₂³×D₅	1	1	yes	characteristic
1503	C₄²	C₂³×D₅	1	1	yes	characteristic
1504	C₄²	C₂³×D₅	1	1	yes	characteristic
1505	C₂×C₅	—	2	2	no	—
1506	C₂×C₅	—	4	1	no	—
1507	C₂×C₅	—	4	1	no	—
1508	C₂×C₅	—	4	2	no	—
1509	C₂×C₅	—	8	1	no	—
1510	C₂×C₅	—	8	1	no	—
1511	C₂×C₅	#3489	1	1	yes	characteristic
1512	C₂×C₅	C₂×#576	1	1	yes	characteristic
1513	C₂×C₅	#3586	1	1	yes	characteristic
1514	D₅	—	8	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	4	2	no	—
1519	C₂³	—	4	2	no	—
1520	C₂³	—	4	2	no	—
1521	C₂³	—	8	1	no	—
1522	C₂³	—	8	1	no	—
1523	C₂³	—	8	1	no	—
1524	C₂³	—	10	1	no	—
1525	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1526	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1527	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	4	1	no	—
1531	Q₈	—	8	1	no	—
1532	Q₈	—	10	1	no	—
1533	Q₈	—	10	1	no	—
1534	Q₈	—	40	1	no	—
1535	Q₈	—	40	1	no	—
1536	Q₈	—	40	1	no	—
1537	Q₈	—	40	1	no	—
1538	Q₈	—	40	1	no	—
1539	Q₈	—	40	1	no	—
1540	D₄	—	2	2	no	—
1541	D₄	—	2	2	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	2	1	no	—
1545	D₄	—	2	1	no	—
1546	D₄	—	2	1	no	—
1547	D₄	—	4	1	no	—
1548	D₄	—	4	2	no	—
1549	D₄	—	4	2	no	—
1550	D₄	—	4	2	no	—
1551	D₄	—	4	2	no	—
1552	D₄	—	8	1	no	—
1553	D₄	—	8	1	no	—
1554	D₄	—	8	1	no	—
1555	D₄	—	8	1	no	—
1556	D₄	—	8	1	no	—
1557	D₄	—	10	1	no	—
1558	D₄	—	10	1	no	—
1559	D₄	—	20	2	no	—
1560	D₄	—	40	1	no	—
1561	D₄	—	40	1	no	—
1562	D₄	#4150	1	2	yes	—
1563	C₂×C₄	—	2	2	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	4	1	no	—
1576	C₂×C₄	—	4	2	no	—
1577	C₂×C₄	—	4	2	no	—
1578	C₂×C₄	—	8	1	no	—
1579	C₂×C₄	—	8	1	no	—
1580	C₂×C₄	—	8	1	no	—
1581	C₂×C₄	—	8	1	no	—
1582	C₂×C₄	—	8	1	no	—
1583	C₂×C₄	—	8	1	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	10	1	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	10	1	no	—
1591	C₂×C₄	—	10	1	no	—
1592	C₂×C₄	—	10	1	no	—
1593	C₂×C₄	—	10	1	no	—
1594	C₂×C₄	—	20	2	no	—
1595	C₂×C₄	—	20	2	no	—
1596	C₂×C₄	—	20	2	no	—
1597	C₂×C₄	—	40	1	no	—
1598	C₂×C₄	—	40	1	no	—
1599	C₂×C₄	—	40	1	no	—
1600	C₂×C₄	—	40	1	no	—
1601	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1602	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1603	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1604	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1605	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1606	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1607	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1613	C₈	—	10	1	no	—
1614	C₈	—	10	1	no	—
1615	C₈	—	10	1	no	—
1616	C₈	—	10	1	no	—
1617	C₈	—	10	1	no	—
1618	C₈	—	10	1	no	—
1619	C₈	—	10	1	no	—
1620	C₈	—	10	1	no	—
1621	C₅	#62155	1	1	yes	characteristic, complemented, Sylow
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	8	4	no	—
1640	C₂²	—	16	2	no	—
1641	C₂²	—	20	1	no	—
1642	C₂²	—	20	1	no	—
1643	C₂²	—	20	1	no	—
1644	C₂²	#66169	1	2	yes	—
1645	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	20	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	—	20	1	no	—
1668	C₄	—	20	1	no	—
1669	C₄	C₂×#4150	1	1	yes	characteristic
1670	C₄	#66283	1	1	yes	characteristic
1671	C₂	—	2	2	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	1	no	—
1674	C₂	—	4	2	no	—
1675	C₂	—	8	1	no	—
1676	C₂	—	8	1	no	—
1677	C₂	—	40	1	no	—
1678	C₂	#10619165	1	1	yes	characteristic
1679	C₂	C₂×#66169	1	1	yes	characteristic
1680	C₂	#10619200	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×#3513	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3513	D₅
hypocenter	C₅	#62155
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3513

Complements

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

N	H ≅ G/N	type
1. C₅×#3513	C₂	semidirect
2. #10618034	C₂	semidirect
3. #10615450	C₂	semidirect
4. #10615445	C₂	semidirect
5. #10615364	C₂	semidirect
6. #10615362	C₂	semidirect
7. #10615341	C₂	semidirect
8. #10615340	C₂	semidirect
9. #10615323	C₂	semidirect
10. #10615321	C₂	semidirect
11. #10615249	C₂	semidirect
12. #10615247	C₂	semidirect
13. #10615230	C₂	semidirect
14. #10615229	C₂	semidirect
15. #10615227	C₂	semidirect
16. #10615225	C₂	semidirect
17. #10615215	C₂	semidirect
18. #10615213	C₂	semidirect
19. #10615197	C₂	semidirect
20. #10615185	C₂	semidirect
21. #10615168	C₂	semidirect
22. #10615161	C₂	semidirect
23. #10614880	C₂	semidirect
24. #10614861	C₂	semidirect
25. #10614854	C₂	semidirect
26. #10614300	C₂	semidirect
27. #10614290	C₂	semidirect
28. #10614272	C₂	semidirect
29. #10614270	C₂	semidirect
30. #10614042	C₂	semidirect
31. C₂×#65296	C₂	semidirect
63. #65913	C₂²	semidirect
64. Q₈×Dic₁₀	C₂²	semidirect
65. #65897	C₂²	semidirect
67. #65889	C₂²	semidirect
68. #65877	C₂²	semidirect
70. #65875	C₂²	semidirect
71. #65868	C₂²	semidirect
72. #65868	C₂²	semidirect
73. #65853	C₂²	semidirect
74. #65853	C₂²	semidirect
75. #65813	C₂²	semidirect
76. C₂×#4015	C₂²	semidirect
89. #65380	C₂²	semidirect
90. #65376	C₂²	semidirect
91. #65369	C₂²	semidirect
92. #65367	C₂²	semidirect
97. #65355	C₂²	semidirect
98. #65355	C₂²	semidirect
99. #65354	C₂²	semidirect
100. #65354	C₂²	semidirect
101. #65354	C₂²	semidirect
102. #65353	C₂²	semidirect
103. #65352	C₂²	semidirect
104. #65352	C₂²	semidirect
105. #65346	C₂²	semidirect
106. #65346	C₂²	semidirect
107. #65345	C₂²	semidirect
108. #65344	C₂²	semidirect
109. #65344	C₂²	semidirect
110. #65344	C₂²	semidirect
111. #65343	C₂²	semidirect
112. #65343	C₂²	semidirect
113. #65340	C₂²	semidirect
114. #65340	C₂²	semidirect
115. #65338	C₂²	semidirect
116. #65337	C₂²	semidirect
117. #65334	C₂²	semidirect
118. #65333	C₂²	semidirect
119. #65332	C₂²	semidirect
120. #65332	C₂²	semidirect
122. #65331	C₂²	semidirect
124. #65330	C₂²	semidirect
125. #65328	C₂²	semidirect
128. #65327	C₂²	semidirect
130. #65324	C₂²	semidirect
131. #65324	C₂²	semidirect
132. #65323	C₂²	semidirect
136. #65322	C₂²	semidirect
137. C₄×#689	C₂²	semidirect
138. #65317	C₂²	semidirect
139. #65315	C₂²	semidirect
140. #65313	C₂²	semidirect
141. #65313	C₂²	semidirect
142. #65311	C₂²	semidirect
143. #65311	C₂²	semidirect
144. #65310	C₂²	semidirect
145. #65310	C₂²	semidirect
146. #65310	C₂²	semidirect
149. #65307	C₂²	semidirect
150. #65307	C₂²	semidirect
153. #65305	C₂²	semidirect
154. #65305	C₂²	semidirect
157. #65303	C₂²	semidirect
159. C₄×#686	C₂²	semidirect
161. #65300	C₂²	semidirect
162. #65300	C₂²	semidirect
163. #65300	C₂²	semidirect
165. D₄×#168	C₂²	semidirect
169. #65298	C₂²	semidirect
170. #65298	C₂²	semidirect
171. #65298	C₂²	semidirect
173. #65297	C₂²	semidirect
174. #65297	C₂²	semidirect
180. #65296	C₂²	semidirect
181. #65296	C₂²	semidirect
182. #65296	C₂²	semidirect
183. #65296	C₂²	semidirect
184. #65296	C₂²	semidirect
185. #65292	C₂²	semidirect
186. #65289	C₂²	semidirect
187. #65289	C₂²	semidirect
188. #65288	C₂²	semidirect
189. #65288	C₂²	semidirect
190. #65287	C₂²	semidirect
191. #65285	C₂²	semidirect
192. #65284	C₂²	semidirect
193. #65260	C₂²	semidirect
194. #65259	C₂²	semidirect
195. #65256	C₂²	semidirect
196. #65256	C₂²	semidirect
197. #65253	C₂²	semidirect
198. C₂×#3939	C₂²	semidirect
199. C₂×#3939	C₂²	semidirect
200. C₂×#3939	C₂²	semidirect
201. #65215	C₂²	semidirect
202. C₂×C₄⋊#168	C₂²	semidirect
480. #3513	D₅	semidirect
1621. C₅	#62155	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3513	2
#10618034	2
#10615450	2
#10615445	2
#10615364	2
#10615362	2
#10615341	2
#10615340	2
#10615323	2
#10615321	2
#10615249	2
#10615247	2
#10615230	2
#10615229	2
#10615227	2
#10615225	2
#10615215	2
#10615213	2
#10615197	2
#10615185	2
#10615168	2
#10615161	2
#10614880	2
#10614861	2
#10614854	2
#10614300	2
#10614290	2
#10614272	2
#10614270	2
#10614042	2
C₂×#65296	2
#62155	5