Subgroups — #12989674

Order 1280.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618435	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617761	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3118	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615186	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614272	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613238	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613233	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613094	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613087	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612786	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612784	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612691	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612690	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612254	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612253	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612252	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612248	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611867	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611863	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611723	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611721	C₂	1	1	yes	maximal, characteristic
22	#10611586	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611584	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611490	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611488	C₂	1	1	yes	maximal, characteristic, complemented
26	SD₁₆×Dic₁₀	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611361	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611307	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611300	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611096	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611090	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#518	C₂²	1	1	yes	characteristic
34	#66132	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
36	#66061	C₂²	1	1	yes	characteristic, complemented
37	#66056	C₂²	1	1	yes	characteristic, complemented
38	#66046	—	2	1	no	—
39	#66036	—	2	1	no	—
40	#66015	C₂²	1	1	yes	characteristic, complemented
41	#66009	—	2	1	no	—
42	#66005	C₂²	1	1	yes	characteristic, complemented
43	#66003	—	2	1	no	—
44	#65996	—	2	1	no	—
45	#65982	—	2	1	no	—
46	#65980	—	2	1	no	—
47	#65977	C₂²	1	1	yes	characteristic
48	#65966	—	2	1	no	—
49	#65956	C₂²	1	1	yes	characteristic
50	#65937	C₂²	1	1	yes	characteristic
51	#65930	C₂²	1	1	yes	characteristic
52	#65902	C₂²	1	1	yes	characteristic, complemented
53	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
54	#65893	C₂²	1	1	yes	characteristic, complemented
55	#65877	—	2	1	no	—
56	#65877	C₂²	1	1	yes	characteristic
57	#65877	C₂²	1	1	yes	characteristic
58	#65873	—	2	1	no	—
59	#65873	—	2	1	no	—
60	#65873	C₂²	1	1	yes	characteristic
61	#65873	C₂²	1	1	yes	characteristic
62	#65873	C₂²	1	1	yes	characteristic
63	#65873	C₂²	1	1	yes	characteristic
64	D₄×Dic₁₀	—	2	1	no	—
65	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
66	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
67	D₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
68	#65868	C₂²	1	1	yes	characteristic
69	#65853	C₂²	1	1	yes	characteristic
70	#65853	C₂²	1	1	yes	characteristic
71	#65851	C₂²	1	1	yes	characteristic
72	#65851	C₂²	1	1	yes	characteristic
73	#65817	—	2	1	no	—
74	#65817	—	2	1	no	—
75	C₂×#4024	—	2	1	no	—
76	C₂×#4024	—	2	1	no	—
77	C₅×#485	C₂²	1	1	yes	characteristic
78	C₅×#482	C₂²	1	1	yes	characteristic
79	C₅×#476	C₂²	1	1	yes	characteristic
80	C₅×#474	C₂²	1	1	yes	characteristic
81	C₅×#463	C₂²	1	1	yes	characteristic
82	C₅×#463	C₂²	1	1	yes	characteristic
83	C₅×#450	C₂²	1	1	yes	characteristic
84	C₅×#447	C₂²	1	1	yes	characteristic
85	C₅×#442	C₂²	1	1	yes	characteristic
86	C₅×#440	C₂²	1	1	yes	characteristic
87	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
88	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
89	C₅×#433	C₂²	1	1	yes	characteristic
90	#65507	C₂²	1	1	yes	characteristic
91	#65506	C₂²	1	1	yes	characteristic
92	#65454	C₂²	1	1	yes	characteristic
93	#65454	C₂²	1	1	yes	characteristic
94	#65453	C₂²	1	1	yes	characteristic
95	#65451	C₂²	1	1	yes	characteristic
96	#65451	C₂²	1	1	yes	characteristic
97	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
98	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
99	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
100	#65442	C₂²	1	1	yes	characteristic
101	#65442	C₂²	1	1	yes	characteristic
102	#65441	C₂²	1	1	yes	characteristic
103	#65441	C₂²	1	1	yes	characteristic
104	#65441	C₂²	1	1	yes	characteristic
105	#65439	C₂²	1	1	yes	characteristic
106	#65439	C₂²	1	1	yes	characteristic
107	D₈×Dic₅	C₂²	1	1	yes	characteristic
108	#65369	C₂²	1	1	yes	characteristic, complemented
109	#65368	C₂²	1	1	yes	characteristic, complemented
110	#65345	C₂²	1	1	yes	characteristic, complemented
111	#65344	C₂²	1	1	yes	characteristic, complemented
112	#65334	C₂²	1	1	yes	characteristic
113	#65332	C₂²	1	1	yes	characteristic
114	#65324	C₂²	1	1	yes	characteristic
115	#65323	C₂²	1	1	yes	characteristic
116	#65311	C₂²	1	1	yes	characteristic, complemented
117	#65309	C₂²	1	1	yes	characteristic, complemented
118	#65307	C₂²	1	1	yes	characteristic
119	C₄×#687	C₂²	1	1	yes	characteristic
120	#65305	C₂²	1	1	yes	characteristic
121	#65305	C₂²	1	1	yes	characteristic
122	#65303	C₂²	1	1	yes	characteristic
123	C₄×#686	C₂²	1	1	yes	characteristic
124	#65298	C₂²	1	1	yes	characteristic, complemented
125	#65297	C₂²	1	1	yes	characteristic
126	#65297	C₂²	1	1	yes	characteristic, complemented
127	#65296	C₂²	1	1	yes	characteristic
128	#65292	C₂²	1	1	yes	characteristic
129	#65289	C₂²	1	1	yes	characteristic
130	#65285	C₂²	1	1	yes	characteristic
131	#65180	C₂²	1	1	yes	characteristic, complemented
132	#65180	C₂²	1	1	yes	characteristic, complemented
133	#65166	C₂²	1	1	yes	characteristic, complemented
134	#65165	C₂²	1	1	yes	characteristic, complemented
135	#65165	C₂²	1	1	yes	characteristic, complemented
136	#65165	C₂²	1	1	yes	characteristic, complemented
137	#65164	C₂²	1	1	yes	characteristic, complemented
138	#65163	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65145	C₂²	1	1	yes	characteristic, complemented
142	#65144	C₂²	1	1	yes	characteristic, complemented
143	#65144	C₂²	1	1	yes	characteristic, complemented
144	#65144	C₂²	1	1	yes	characteristic, complemented
145	#65143	C₂²	1	1	yes	characteristic, complemented
146	#65143	C₂²	1	1	yes	characteristic, complemented
147	#65140	C₂²	1	1	yes	characteristic, complemented
148	#65136	C₂²	1	1	yes	characteristic, complemented
149	#65131	C₂²	1	1	yes	characteristic, complemented
150	#65120	C₂²	1	1	yes	characteristic, complemented
151	#65119	C₂²	1	1	yes	characteristic, complemented
152	#65118	C₂²	1	1	yes	characteristic, complemented
153	#65117	C₂²	1	1	yes	characteristic, complemented
154	#65117	C₂²	1	1	yes	characteristic, complemented
155	#65089	C₂²	1	1	yes	characteristic, complemented
156	#65088	C₂²	1	1	yes	characteristic, complemented
157	#65086	C₂²	1	1	yes	characteristic, complemented
158	#65086	C₂²	1	1	yes	characteristic, complemented
159	#65084	C₂²	1	1	yes	characteristic, complemented
160	#65083	C₂²	1	1	yes	characteristic, complemented
161	#65080	C₂²	1	1	yes	characteristic, complemented
162	#65080	C₂²	1	1	yes	characteristic, complemented
163	#65074	C₂²	1	1	yes	characteristic
164	#65074	C₂²	1	1	yes	characteristic
165	#65074	C₂²	1	1	yes	characteristic
166	#65057	C₂²	1	1	yes	characteristic, complemented
167	#65055	C₂²	1	1	yes	characteristic, complemented
168	#65054	C₂²	1	1	yes	characteristic, complemented
169	#65052	C₂²	1	1	yes	characteristic, complemented
170	#65052	C₂²	1	1	yes	characteristic, complemented
171	#65050	C₂²	1	1	yes	characteristic
172	#65050	C₂²	1	1	yes	characteristic
173	#65050	C₂²	1	1	yes	characteristic
174	#65050	C₂²	1	1	yes	characteristic
175	#65050	C₂²	1	1	yes	characteristic
176	#65050	C₂²	1	1	yes	characteristic
177	#65050	C₂²	1	1	yes	characteristic, complemented
178	#65049	C₂²	1	1	yes	characteristic, complemented
179	#65049	C₂²	1	1	yes	characteristic, complemented
180	#65048	C₂²	1	1	yes	characteristic
181	#65048	C₂²	1	1	yes	characteristic
182	#65047	C₂²	1	1	yes	characteristic
183	#65047	C₂²	1	1	yes	characteristic
184	#65047	C₂²	1	1	yes	characteristic
185	#65046	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65026	C₂²	1	1	yes	characteristic
188	#65024	C₂²	1	1	yes	characteristic
189	#65012	C₂²	1	1	yes	characteristic
190	#65010	C₂²	1	1	yes	characteristic
191	#65009	C₂²	1	1	yes	characteristic
192	#65009	C₂²	1	1	yes	characteristic
193	#65008	C₂²	1	1	yes	characteristic
194	#65007	C₂²	1	1	yes	characteristic
195	#65003	C₂²	1	1	yes	characteristic, complemented
196	#64991	C₂²	1	1	yes	characteristic, complemented
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	#64969	C₂²	1	1	yes	characteristic, complemented
201	#64968	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61850	—	5	1	no	maximal, Sylow
204	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
205	C₂³×Dic₅	—	2	1	no	—
206	C₂×Q₈×D₅	—	2	1	no	—
207	C₂×#711	—	2	1	no	—
208	C₂²×Dic₁₀	—	2	1	no	—
209	C₂²×Dic₁₀	—	2	1	no	—
210	C₂²×Dic₁₀	—	2	1	no	—
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
214	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#126	—	2	1	no	—
217	C₅×#124	—	2	1	no	—
218	C₅×#124	C₂³	1	1	yes	characteristic
219	C₅×#123	—	2	1	no	—
220	C₅×C₂²⋊Q₈	—	2	1	no	—
221	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×#121	C₂³	1	1	yes	characteristic
223	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₅×D₄	—	2	1	no	—
225	C₄×C₅×D₄	—	2	1	no	—
226	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
227	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₅×#117	C₂³	1	1	yes	characteristic
232	C₅×#117	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
234	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
235	C₂×C₂²⋊Dic₅	—	2	1	no	—
236	C₂×C₂²⋊Dic₅	—	2	1	no	—
237	C₂×C₂²⋊Dic₅	—	2	1	no	—
238	#4093	C₂³	1	1	yes	characteristic
239	#4092	—	2	1	no	—
240	Q₈×Dic₅	C₂³	1	1	yes	characteristic
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	#4090	—	2	1	no	—
243	#4090	—	2	1	no	—
244	#4090	C₂³	1	1	yes	characteristic
245	#4086	C₂³	1	1	yes	characteristic
246	#4085	—	2	1	no	—
247	#4082	—	2	1	no	—
248	#4082	C₂³	1	1	yes	characteristic
249	#4081	—	2	1	no	—
250	D₄×Dic₅	—	2	1	no	—
251	D₄×Dic₅	—	2	1	no	—
252	D₄×Dic₅	—	2	1	no	—
253	D₄×Dic₅	—	2	1	no	—
254	D₄×Dic₅	C₂³	1	1	yes	characteristic
255	D₄×Dic₅	C₂³	1	1	yes	characteristic
256	D₄×Dic₅	C₂³	1	1	yes	characteristic
257	D₄×Dic₅	C₂³	1	1	yes	characteristic
258	D₄×Dic₅	C₂³	1	1	yes	characteristic
259	D₄×Dic₅	C₂³	1	1	yes	characteristic
260	D₄×Dic₅	C₂³	1	1	yes	characteristic
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	D₄×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#687	C₂³	1	1	yes	characteristic
265	C₂×#687	C₂³	1	1	yes	characteristic
266	C₂×#686	C₂³	1	1	yes	characteristic
267	C₂×#686	C₂³	1	1	yes	characteristic
268	#4076	C₂³	1	1	yes	characteristic
269	#4075	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	#4072	C₂³	1	1	yes	characteristic
272	#4072	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₅	—	2	1	no	—
274	C₂×C₄⋊Dic₅	—	2	1	no	—
275	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
276	#4070	—	2	1	no	—
277	#4070	—	2	1	no	—
278	#4070	—	2	1	no	—
279	#4070	—	2	1	no	—
280	#4070	—	2	1	no	—
281	#4070	—	2	1	no	—
282	#4070	—	2	1	no	—
283	#4070	—	2	1	no	—
284	#4070	—	2	1	no	—
285	#4070	C₂³	1	1	yes	characteristic
286	C₂×#683	—	2	1	no	—
287	C₂×#683	—	2	1	no	—
288	C₂×#683	—	2	1	no	—
289	C₂×#683	—	2	1	no	—
290	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
291	#4044	—	2	1	no	—
292	#4044	—	2	1	no	—
293	#4044	—	2	1	no	—
294	#4043	—	2	1	no	—
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4039	C₂³	1	1	yes	characteristic
300	#4039	C₂³	1	1	yes	characteristic
301	#4036	—	2	1	no	—
302	#4036	D₄	1	1	yes	characteristic
303	#4036	D₄	1	1	yes	characteristic
304	#4036	C₂³	1	1	yes	characteristic
305	#4036	C₂³	1	1	yes	characteristic
306	#4036	C₂³	1	1	yes	characteristic
307	#4036	C₂³	1	1	yes	characteristic
308	#4035	—	2	1	no	—
309	#4034	—	2	1	no	—
310	#4034	—	2	1	no	—
311	#4034	—	2	1	no	—
312	#4034	—	2	1	no	—
313	#4034	D₄	1	1	yes	characteristic
314	#4034	D₄	1	1	yes	characteristic
315	#4034	C₂³	1	1	yes	characteristic
316	#4034	C₂³	1	1	yes	characteristic
317	#4034	C₂³	1	1	yes	characteristic
318	#4034	C₂³	1	1	yes	characteristic
319	#4034	C₂³	1	1	yes	characteristic
320	#4034	C₂³	1	1	yes	characteristic
321	#4034	C₂³	1	1	yes	characteristic
322	#4034	C₂³	1	1	yes	characteristic
323	#4033	—	2	1	no	—
324	#4033	—	2	1	no	—
325	#4033	C₂³	1	1	yes	characteristic
326	#4033	C₂³	1	1	yes	characteristic
327	#4032	—	2	1	no	—
328	#4031	—	2	1	no	—
329	#4031	—	2	1	no	—
330	#4031	—	2	1	no	—
331	#4031	—	2	1	no	—
332	#4031	—	2	1	no	—
333	#4029	—	2	1	no	—
334	#4029	—	2	1	no	—
335	#4029	—	2	1	no	—
336	#4029	—	2	1	no	—
337	#4027	—	2	1	no	—
338	#4027	—	2	1	no	—
339	#4025	—	2	1	no	—
340	#4025	—	2	1	no	—
341	#4025	—	2	1	no	—
342	#4024	—	2	1	no	—
343	#4024	—	2	1	no	—
344	#4024	—	2	1	no	—
345	#4024	—	2	1	no	—
346	#4024	—	2	1	no	—
347	#4024	—	2	1	no	—
348	#4024	—	2	1	no	—
349	#4024	—	2	1	no	—
350	#4024	—	2	1	no	—
351	#4024	—	2	1	no	—
352	#4024	—	2	1	no	—
353	#4024	—	2	1	no	—
354	#4024	—	2	1	no	—
355	#4024	—	2	1	no	—
356	#4024	—	2	1	no	—
357	#4024	—	2	1	no	—
358	#4024	—	2	1	no	—
359	#4024	—	2	1	no	—
360	#4024	—	2	1	no	—
361	#4024	—	2	1	no	—
362	#4024	—	2	1	no	—
363	#4024	—	2	1	no	—
364	#4024	—	2	1	no	—
365	#4024	—	2	1	no	—
366	#4024	—	2	1	no	—
367	#4024	—	2	1	no	—
368	#4024	—	2	1	no	—
369	#4024	D₄	1	1	yes	characteristic
370	#4024	D₄	1	1	yes	characteristic
371	#4024	D₄	1	1	yes	characteristic
372	#4024	D₄	1	1	yes	characteristic
373	#4023	—	2	1	no	—
374	#4023	—	2	1	no	—
375	#4022	—	2	1	no	—
376	#4021	C₂³	1	1	yes	characteristic
377	C₄×D₂₀	C₂³	1	1	yes	characteristic
378	#4018	—	2	1	no	—
379	#4016	—	2	1	no	—
380	#4016	C₂³	1	1	yes	characteristic
381	#4016	C₂³	1	1	yes	characteristic
382	#4015	—	2	1	no	—
383	#4015	—	2	1	no	—
384	#4015	C₂³	1	1	yes	characteristic
385	#4015	C₂³	1	1	yes	characteristic
386	#4015	C₂³	1	1	yes	characteristic
387	C₄×Dic₁₀	—	2	1	no	—
388	C₄×Dic₁₀	—	2	1	no	—
389	C₄×Dic₁₀	—	2	1	no	—
390	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
391	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
392	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
395	C₅×#107	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#106	C₂³	1	1	yes	characteristic
398	C₅×#106	C₂³	1	1	yes	characteristic
399	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₅×#103	C₂³	1	1	yes	characteristic
402	C₅×#103	C₂³	1	1	yes	characteristic
403	C₅×#102	C₂³	1	1	yes	characteristic
404	C₅×#102	C₂³	1	1	yes	characteristic
405	C₅×#102	C₂³	1	1	yes	characteristic
406	C₅×#102	C₂³	1	1	yes	characteristic
407	C₅×#102	C₂³	1	1	yes	characteristic
408	C₅×#102	C₂³	1	1	yes	characteristic
409	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×#97	C₂³	1	1	yes	characteristic
412	C₄×C₅×C₈	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	#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	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3953	C₂³	1	1	yes	characteristic
430	#3953	C₂³	1	1	yes	characteristic
431	#3950	C₂³	1	1	yes	characteristic
432	#3950	C₂³	1	1	yes	characteristic
433	#3949	C₂³	1	1	yes	characteristic
434	#3949	C₂³	1	1	yes	characteristic
435	#3949	C₂³	1	1	yes	characteristic
436	#3949	C₂³	1	1	yes	characteristic
437	#3949	C₂³	1	1	yes	characteristic
438	#3949	C₂³	1	1	yes	characteristic
439	#3948	C₂³	1	1	yes	characteristic
440	#3948	C₂³	1	1	yes	characteristic
441	#3948	C₂³	1	1	yes	characteristic
442	#3948	C₂³	1	1	yes	characteristic
443	#3947	C₂³	1	1	yes	characteristic
444	#3947	C₂³	1	1	yes	characteristic
445	#3947	C₂³	1	1	yes	characteristic
446	#3947	C₂³	1	1	yes	characteristic
447	#3946	C₂³	1	1	yes	characteristic
448	#3946	C₂³	1	1	yes	characteristic
449	#3946	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	C₂³	1	1	yes	characteristic
456	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3550	—	5	1	no	—
480	#3501	—	5	1	no	—
481	#3385	—	5	1	no	—
482	#3385	—	5	1	no	—
483	#3384	—	5	1	no	—
484	#3384	—	5	1	no	—
485	#3384	—	5	1	no	—
486	#3384	—	5	1	no	—
487	Q₈×SD₁₆	—	5	1	no	—
488	Q₈×SD₁₆	—	5	1	no	—
489	#3376	—	5	1	no	—
490	#3376	—	5	1	no	—
491	#3376	—	5	1	no	—
492	#3376	—	5	1	no	—
493	#3373	—	5	1	no	—
494	#3373	—	5	1	no	—
495	#3361	—	5	1	no	—
496	#3361	—	5	1	no	—
497	#3244	—	5	1	no	—
498	#3244	—	5	1	no	—
499	#3244	—	5	1	no	—
500	#3244	—	5	1	no	—
501	#3237	—	5	1	no	—
502	#3228	—	5	1	no	—
503	#3118	—	5	1	no	—
504	#3118	—	5	1	no	—
505	#3118	—	5	1	no	—
506	#3118	D₅	1	1	yes	characteristic, complemented
507	#3109	—	5	1	no	—
508	#3101	—	5	1	no	—
509	#2985	—	5	1	no	—
510	C₂⁴×C₅	—	2	1	no	—
511	C₂×C₅×Q₈	—	2	1	no	—
512	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂×C₅×D₄	—	2	2	no	—
514	C₂×C₅×D₄	—	2	2	no	—
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂²×Dic₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	C₂²×Dic₅	—	2	1	no	—
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	8	2	no	—
541	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
542	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
543	Q₈×D₅	—	8	2	no	—
544	#711	—	8	2	no	—
545	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₅	—	2	1	no	—
547	C₂×C₄×D₅	—	2	1	no	—
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×Dic₁₀	—	2	1	no	—
550	C₂×Dic₁₀	—	2	1	no	—
551	C₂×Dic₁₀	—	2	1	no	—
552	C₂×Dic₁₀	—	2	1	no	—
553	C₂×Dic₁₀	—	2	1	no	—
554	C₂×Dic₁₀	—	2	1	no	—
555	C₂×Dic₁₀	—	2	1	no	—
556	C₂×Dic₁₀	—	2	1	no	—
557	C₂×Dic₁₀	—	2	1	no	—
558	C₂×Dic₁₀	—	2	1	no	—
559	C₂×Dic₁₀	—	2	1	no	—
560	C₂×Dic₁₀	—	8	2	no	—
561	C₂×Dic₁₀	—	8	2	no	—
562	C₂×Dic₁₀	—	8	2	no	—
563	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
564	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
565	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
567	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
568	C₅×SD₁₆	—	2	2	no	—
569	C₅×SD₁₆	—	2	2	no	—
570	C₅×D₈	—	2	2	no	—
571	C₅×D₈	—	2	2	no	—
572	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
573	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	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	C₂×D₄	1	1	yes	characteristic
580	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₅×C₂²⋊C₄	—	2	1	no	—
586	C₅×C₂²⋊C₄	—	2	1	no	—
587	C₅×C₂²⋊C₄	—	2	1	no	—
588	C₅×C₂²⋊C₄	—	2	1	no	—
589	C₅×C₂²⋊C₄	—	2	1	no	—
590	C₅×C₂²⋊C₄	—	2	1	no	—
591	C₅×C₂²⋊C₄	—	2	1	no	—
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₄²×C₅	—	2	1	no	—
598	C₄²×C₅	—	2	1	no	—
599	C₄²×C₅	C₂⁴	1	1	yes	characteristic
600	C₄²×C₅	C₂⁴	1	1	yes	characteristic
601	C₂²⋊Dic₅	—	2	1	no	—
602	C₂²⋊Dic₅	—	2	1	no	—
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
616	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
617	#687	—	2	2	no	—
618	#687	—	2	2	no	—
619	#686	—	2	2	no	—
620	#686	—	2	2	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	C₄⋊Dic₅	—	2	1	no	—
630	C₄⋊Dic₅	—	2	1	no	—
631	C₄⋊Dic₅	—	2	1	no	—
632	C₄⋊Dic₅	—	2	1	no	—
633	C₄⋊Dic₅	—	2	1	no	—
634	C₄⋊Dic₅	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	—	2	1	no	—
639	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
643	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
646	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
647	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
649	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
650	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
651	#683	—	2	1	no	—
652	#683	—	2	1	no	—
653	#683	—	2	1	no	—
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	#683	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
693	C₂×#168	C₂⁴	1	1	yes	characteristic
694	C₂×#168	C₂⁴	1	1	yes	characteristic
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	#563	—	10	1	no	—
698	#563	—	10	1	no	—
699	#559	—	5	1	no	—
700	#559	—	5	1	no	—
701	Q₈²	—	5	1	no	—
702	Q₈²	—	5	1	no	—
703	#556	—	5	1	no	—
704	#556	—	5	1	no	—
705	#556	—	10	1	no	—
706	#554	—	5	1	no	—
707	#554	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	10	1	no	—
713	#554	—	10	1	no	—
714	#554	—	10	1	no	—
715	D₄×Q₈	—	5	1	no	—
716	D₄×Q₈	—	5	1	no	—
717	D₄×Q₈	—	5	1	no	—
718	D₄×Q₈	—	5	1	no	—
719	D₄×Q₈	—	10	1	no	—
720	D₄×Q₈	—	10	1	no	—
721	#544	—	5	1	no	—
722	#544	—	5	1	no	—
723	#543	—	10	1	no	—
724	#543	—	10	1	no	—
725	#542	—	5	1	no	—
726	#542	—	5	1	no	—
727	#542	—	5	1	no	—
728	#542	—	10	1	no	—
729	#542	—	10	1	no	—
730	#542	C₂×D₅	1	1	yes	characteristic
731	#536	—	10	1	no	—
732	#536	—	10	1	no	—
733	#533	—	5	1	no	—
734	#533	—	5	1	no	—
735	#533	—	5	1	no	—
736	#532	—	5	1	no	—
737	C₂×C₂²⋊Q₈	—	10	1	no	—
738	C₂×C₂²⋊Q₈	—	10	1	no	—
739	#518	—	5	1	no	—
740	#518	C₂×D₅	1	1	yes	characteristic
741	C₂×C₄×D₄	—	5	1	no	—
742	#501	—	5	1	no	—
743	#501	—	5	1	no	—
744	#501	—	5	1	no	—
745	#501	—	5	1	no	—
746	#501	—	5	1	no	—
747	#501	—	5	1	no	—
748	#500	—	5	1	no	—
749	#498	—	5	1	no	—
750	#498	—	5	1	no	—
751	#498	—	5	1	no	—
752	#498	—	5	1	no	—
753	#498	—	5	1	no	—
754	#491	—	5	1	no	—
755	#491	—	5	1	no	—
756	#489	—	5	1	no	—
757	#489	—	5	1	no	—
758	#489	—	5	1	no	—
759	#489	—	5	1	no	—
760	#488	—	5	1	no	—
761	#488	—	5	1	no	—
762	#488	—	5	1	no	—
763	#488	—	5	1	no	—
764	#486	—	5	1	no	—
765	#486	—	5	1	no	—
766	#485	—	5	1	no	—
767	#485	—	5	1	no	—
768	#485	—	5	1	no	—
769	#485	C₂×D₅	1	1	yes	characteristic
770	#483	—	5	1	no	—
771	#483	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	C₂×D₅	1	1	yes	characteristic
776	#481	—	5	1	no	—
777	#481	—	5	1	no	—
778	#479	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#478	—	5	1	no	—
783	#478	—	5	1	no	—
784	#478	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#477	—	5	1	no	—
791	#477	—	5	1	no	—
792	#476	—	5	1	no	—
793	#476	—	5	1	no	—
794	#476	—	5	1	no	—
795	#476	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	C₂×D₅	1	1	yes	characteristic
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	—	5	1	no	—
809	#475	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	C₂×D₅	1	1	yes	characteristic
814	#463	—	5	1	no	—
815	#463	—	5	1	no	—
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	C₂×D₅	1	1	yes	characteristic
821	#463	C₂×D₅	1	1	yes	characteristic
822	#461	—	5	1	no	—
823	#461	—	5	1	no	—
824	#459	—	5	1	no	—
825	#459	—	5	1	no	—
826	#450	—	5	1	no	—
827	#450	C₂×D₅	1	1	yes	characteristic
828	#447	—	5	1	no	—
829	#447	C₂×D₅	1	1	yes	characteristic
830	#446	—	5	1	no	—
831	#446	—	5	1	no	—
832	#446	—	5	1	no	—
833	#446	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	C₈×Q₈	—	5	1	no	—
837	C₈×Q₈	—	5	1	no	—
838	#442	—	5	1	no	—
839	#442	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#442	C₂×D₅	1	1	yes	characteristic
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	C₂×D₅	1	1	yes	characteristic
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	—	5	1	no	—
854	C₄×SD₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
858	C₄×D₈	—	5	1	no	—
859	C₄×D₈	—	5	1	no	—
860	C₄×D₈	—	5	1	no	—
861	C₄×D₈	C₂×D₅	1	1	yes	characteristic
862	#433	—	5	1	no	—
863	#433	—	5	1	no	—
864	#433	—	5	1	no	—
865	#433	C₂×D₅	1	1	yes	characteristic
866	#432	—	5	1	no	—
867	#431	—	5	1	no	—
868	C₂³×C₅	—	2	4	no	—
869	C₂³×C₅	—	2	1	no	—
870	C₂³×C₅	—	2	1	no	—
871	C₂³×C₅	—	2	1	no	—
872	C₂³×C₅	—	8	1	no	—
873	C₂³×C₅	—	8	1	no	—
874	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
875	C₂²×D₅	—	2	1	no	—
876	C₅×Q₈	—	2	1	no	—
877	C₅×Q₈	—	2	1	no	—
878	C₅×Q₈	—	8	1	no	—
879	C₅×D₄	—	2	4	no	—
880	C₅×D₄	—	2	1	no	—
881	C₅×D₄	—	2	1	no	—
882	C₅×D₄	—	2	1	no	—
883	C₅×D₄	—	2	1	no	—
884	C₅×D₄	—	8	1	no	—
885	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
886	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
887	C₂×C₄×C₅	—	2	1	no	—
888	C₂×C₄×C₅	—	2	1	no	—
889	C₂×C₄×C₅	—	2	1	no	—
890	C₂×C₄×C₅	—	2	1	no	—
891	C₂×C₄×C₅	—	2	1	no	—
892	C₂×C₄×C₅	—	2	1	no	—
893	C₂×C₄×C₅	—	2	1	no	—
894	C₂×C₄×C₅	—	8	1	no	—
895	C₂×C₄×C₅	—	8	1	no	—
896	C₂×C₄×C₅	—	8	1	no	—
897	C₂×C₄×C₅	—	8	1	no	—
898	C₂×C₄×C₅	—	8	1	no	—
899	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
904	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
905	C₂²⋊D₅	—	4	2	no	—
906	C₂²⋊D₅	—	8	1	no	—
907	C₂²⋊D₅	—	8	1	no	—
908	C₂×Dic₅	—	2	2	no	—
909	C₂×Dic₅	—	2	1	no	—
910	C₂×Dic₅	—	2	1	no	—
911	C₂×Dic₅	—	2	1	no	—
912	C₂×Dic₅	—	2	1	no	—
913	C₂×Dic₅	—	2	1	no	—
914	C₂×Dic₅	—	2	1	no	—
915	C₂×Dic₅	—	2	1	no	—
916	C₂×Dic₅	—	4	1	no	—
917	C₂×Dic₅	—	4	2	no	—
918	C₂×Dic₅	—	4	2	no	—
919	C₂×Dic₅	—	4	2	no	—
920	C₂×Dic₅	—	8	1	no	—
921	C₂×Dic₅	—	8	1	no	—
922	C₂×Dic₅	—	8	1	no	—
923	C₂×Dic₅	—	8	1	no	—
924	C₂×Dic₅	—	8	1	no	—
925	C₂×Dic₅	—	8	1	no	—
926	C₂×Dic₅	—	8	1	no	—
927	C₂×Dic₅	—	8	1	no	—
928	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
933	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
936	D₂₀	—	2	1	no	—
937	D₂₀	—	2	1	no	—
938	C₄×D₅	—	4	2	no	—
939	C₄×D₅	—	8	1	no	—
940	C₄×D₅	—	8	1	no	—
941	Dic₁₀	—	2	2	no	—
942	Dic₁₀	—	2	2	no	—
943	Dic₁₀	—	2	1	no	—
944	Dic₁₀	—	2	1	no	—
945	Dic₁₀	—	4	1	no	—
946	Dic₁₀	—	4	1	no	—
947	Dic₁₀	—	4	2	no	—
948	Dic₁₀	—	4	2	no	—
949	Dic₁₀	—	8	1	no	—
950	Dic₁₀	—	8	1	no	—
951	Dic₁₀	—	8	1	no	—
952	Dic₁₀	—	8	1	no	—
953	Dic₁₀	—	8	1	no	—
954	Dic₁₀	—	8	1	no	—
955	Dic₁₀	—	8	1	no	—
956	Dic₁₀	—	8	1	no	—
957	Dic₁₀	—	8	1	no	—
958	C₅×C₈	—	2	1	no	—
959	C₅×C₈	—	2	1	no	—
960	C₅×C₈	—	2	1	no	—
961	C₅×C₈	—	2	1	no	—
962	#168	—	2	1	no	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	C₂×#41	—	10	1	no	—
967	C₂²×Q₈	—	10	1	no	—
968	C₂²×Q₈	—	10	1	no	—
969	C₂²×Q₈	—	10	1	no	—
970	C₂²×Q₈	—	10	1	no	—
971	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
972	C₂³×C₄	—	10	1	no	—
973	C₂×SD₁₆	—	5	1	no	—
974	C₂×SD₁₆	—	5	1	no	—
975	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
976	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
977	C₂×D₈	—	5	1	no	—
978	C₂×D₈	—	5	1	no	—
979	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
980	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
981	C₄⋊Q₈	—	5	1	no	—
982	C₄⋊Q₈	—	5	1	no	—
983	C₄⋊Q₈	—	5	1	no	—
984	C₄⋊Q₈	—	5	1	no	—
985	C₄⋊Q₈	—	5	1	no	—
986	C₄⋊Q₈	—	5	1	no	—
987	C₄⋊Q₈	—	5	1	no	—
988	C₄⋊Q₈	—	5	1	no	—
989	C₄⋊Q₈	—	5	1	no	—
990	C₄⋊Q₈	—	5	1	no	—
991	C₄⋊Q₈	—	5	1	no	—
992	C₄⋊Q₈	—	5	1	no	—
993	C₄⋊Q₈	—	5	1	no	—
994	C₄⋊Q₈	—	5	1	no	—
995	C₄⋊Q₈	—	10	1	no	—
996	C₄⋊Q₈	—	10	1	no	—
997	C₄⋊Q₈	—	10	1	no	—
998	C₄⋊Q₈	—	10	1	no	—
999	C₄⋊Q₈	—	10	1	no	—
1000	C₄⋊Q₈	—	10	1	no	—
1001	C₄⋊Q₈	—	10	1	no	—
1002	C₄⋊Q₈	—	10	1	no	—
1003	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1004	#127	—	5	1	no	—
1005	#126	—	2	1	no	—
1006	#126	—	10	1	no	—
1007	#126	—	10	1	no	—
1008	#126	—	10	1	no	—
1009	#126	—	10	1	no	—
1010	#126	—	10	1	no	—
1011	#126	—	10	1	no	—
1012	#126	—	10	1	no	—
1013	#125	—	5	1	no	—
1014	#125	—	5	1	no	—
1015	#125	—	5	1	no	—
1016	#125	—	5	1	no	—
1017	#125	—	5	1	no	—
1018	#125	—	5	1	no	—
1019	#125	—	5	1	no	—
1020	#125	—	5	1	no	—
1021	#125	—	10	1	no	—
1022	#125	—	10	1	no	—
1023	#125	—	10	1	no	—
1024	#124	—	2	1	no	—
1025	#124	—	5	1	no	—
1026	#124	—	5	1	no	—
1027	#124	—	5	1	no	—
1028	#124	—	10	1	no	—
1029	#124	—	10	1	no	—
1030	#124	—	10	1	no	—
1031	#124	—	10	1	no	—
1032	#124	—	10	1	no	—
1033	#124	—	10	1	no	—
1034	#124	C₂²×D₅	1	1	yes	characteristic
1035	#123	—	2	1	no	—
1036	#123	—	10	1	no	—
1037	#123	—	10	1	no	—
1038	#123	—	10	1	no	—
1039	#123	—	10	1	no	—
1040	#123	—	10	1	no	—
1041	#123	—	10	1	no	—
1042	#123	—	10	1	no	—
1043	C₂²⋊Q₈	—	2	1	no	—
1044	C₂²⋊Q₈	—	5	1	no	—
1045	C₂²⋊Q₈	—	5	1	no	—
1046	C₂²⋊Q₈	—	5	1	no	—
1047	C₂²⋊Q₈	—	5	1	no	—
1048	C₂²⋊Q₈	—	5	1	no	—
1049	C₂²⋊Q₈	—	10	1	no	—
1050	C₂²⋊Q₈	—	10	1	no	—
1051	C₂²⋊Q₈	—	10	1	no	—
1052	C₂²⋊Q₈	—	10	1	no	—
1053	C₂²⋊Q₈	—	10	1	no	—
1054	C₂²⋊Q₈	—	10	1	no	—
1055	C₂²⋊Q₈	—	10	1	no	—
1056	C₂²⋊Q₈	—	10	1	no	—
1057	C₂²⋊Q₈	—	10	1	no	—
1058	C₂²⋊Q₈	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	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	C₂²×D₅	1	1	yes	characteristic
1092	#121	—	5	1	no	—
1093	#121	—	10	1	no	—
1094	#121	C₂²×D₅	1	1	yes	characteristic
1095	C₄×Q₈	—	5	1	no	—
1096	C₄×Q₈	—	5	1	no	—
1097	C₄×Q₈	—	5	1	no	—
1098	C₄×Q₈	—	5	1	no	—
1099	C₄×Q₈	—	5	1	no	—
1100	C₄×Q₈	—	5	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	10	1	no	—
1105	C₄×Q₈	—	10	1	no	—
1106	C₄×Q₈	—	10	1	no	—
1107	C₄×Q₈	—	10	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1110	C₄×D₄	—	2	1	no	—
1111	C₄×D₄	—	2	1	no	—
1112	C₄×D₄	—	5	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	5	1	no	—
1115	C₄×D₄	—	5	1	no	—
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	5	1	no	—
1118	C₄×D₄	—	5	1	no	—
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	10	1	no	—
1126	C₄×D₄	—	10	1	no	—
1127	C₄×D₄	—	10	1	no	—
1128	C₄×D₄	—	10	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1133	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1134	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1135	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1136	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1137	#117	—	5	1	no	—
1138	#117	—	5	1	no	—
1139	#117	—	10	1	no	—
1140	#117	—	10	1	no	—
1141	#117	—	10	1	no	—
1142	#117	C₂²×D₅	1	1	yes	characteristic
1143	#117	C₂²×D₅	1	1	yes	characteristic
1144	C₂×C₄⋊C₄	—	5	1	no	—
1145	C₂×C₄⋊C₄	—	10	1	no	—
1146	C₂×C₄⋊C₄	—	10	1	no	—
1147	C₂×C₄⋊C₄	—	10	1	no	—
1148	C₂×C₄⋊C₄	—	10	1	no	—
1149	C₂×C₄⋊C₄	—	10	1	no	—
1150	C₂×C₄⋊C₄	—	10	1	no	—
1151	C₂×C₂²⋊C₄	—	2	1	no	—
1152	C₂×C₂²⋊C₄	—	2	1	no	—
1153	C₂×C₂²⋊C₄	—	10	1	no	—
1154	C₂×C₂²⋊C₄	—	10	1	no	—
1155	C₂×C₂²⋊C₄	—	10	1	no	—
1156	C₂×C₄²	—	5	1	no	—
1157	#107	—	5	1	no	—
1158	#107	—	5	1	no	—
1159	#107	—	5	1	no	—
1160	#107	—	5	1	no	—
1161	#107	—	5	1	no	—
1162	#107	—	5	1	no	—
1163	#107	C₂²×D₅	1	1	yes	characteristic
1164	#107	C₂²×D₅	1	1	yes	characteristic
1165	#106	—	5	1	no	—
1166	#106	—	5	1	no	—
1167	#106	—	5	1	no	—
1168	#106	—	5	1	no	—
1169	#106	—	5	1	no	—
1170	#106	—	5	1	no	—
1171	#106	—	5	1	no	—
1172	#106	—	5	1	no	—
1173	#106	—	5	1	no	—
1174	#106	—	5	1	no	—
1175	#106	—	5	1	no	—
1176	#106	—	5	1	no	—
1177	#106	—	5	1	no	—
1178	#106	—	5	1	no	—
1179	#106	C₂²×D₅	1	1	yes	characteristic
1180	#106	C₂²×D₅	1	1	yes	characteristic
1181	C₄⋊C₈	—	5	1	no	—
1182	C₄⋊C₈	—	5	1	no	—
1183	C₄⋊C₈	—	5	1	no	—
1184	C₄⋊C₈	—	5	1	no	—
1185	C₄⋊C₈	—	5	1	no	—
1186	C₄⋊C₈	—	5	1	no	—
1187	C₄⋊C₈	—	5	1	no	—
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1193	#103	—	5	1	no	—
1194	#103	—	5	1	no	—
1195	#103	—	5	1	no	—
1196	#103	—	5	1	no	—
1197	#103	—	5	1	no	—
1198	#103	—	5	1	no	—
1199	#103	—	5	1	no	—
1200	#103	—	5	1	no	—
1201	#103	—	5	1	no	—
1202	#103	—	5	1	no	—
1203	#103	C₂²×D₅	1	1	yes	characteristic
1204	#103	C₂²×D₅	1	1	yes	characteristic
1205	#102	—	5	1	no	—
1206	#102	—	5	1	no	—
1207	#102	—	5	1	no	—
1208	#102	—	5	1	no	—
1209	#102	—	5	1	no	—
1210	#102	—	5	1	no	—
1211	#102	—	5	1	no	—
1212	#102	—	5	1	no	—
1213	#102	—	5	1	no	—
1214	#102	—	5	1	no	—
1215	#102	—	5	1	no	—
1216	#102	—	5	1	no	—
1217	#102	—	5	1	no	—
1218	#102	—	5	1	no	—
1219	#102	C₂²×D₅	1	1	yes	characteristic
1220	#102	C₂²×D₅	1	1	yes	characteristic
1221	#102	C₂²×D₅	1	1	yes	characteristic
1222	#102	C₂²×D₅	1	1	yes	characteristic
1223	#102	C₂²×D₅	1	1	yes	characteristic
1224	#102	C₂²×D₅	1	1	yes	characteristic
1225	C₂²⋊C₈	—	5	1	no	—
1226	C₂²⋊C₈	—	5	1	no	—
1227	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1228	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1229	#97	—	5	1	no	—
1230	#97	—	5	1	no	—
1231	#97	—	5	1	no	—
1232	#97	—	5	1	no	—
1233	#97	—	5	1	no	—
1234	#97	C₂²×D₅	1	1	yes	characteristic
1235	C₄×C₈	—	5	1	no	—
1236	C₄×C₈	—	5	1	no	—
1237	C₄×C₈	—	5	1	no	—
1238	C₄×C₈	—	5	1	no	—
1239	C₄×C₈	—	5	1	no	—
1240	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1241	C₂²×C₅	—	2	1	no	—
1242	C₂²×C₅	—	2	1	no	—
1243	C₂²×C₅	—	2	2	no	—
1244	C₂²×C₅	—	2	2	no	—
1245	C₂²×C₅	—	2	1	no	—
1246	C₂²×C₅	—	4	1	no	—
1247	C₂²×C₅	—	4	1	no	—
1248	C₂²×C₅	—	4	1	no	—
1249	C₂²×C₅	—	4	1	no	—
1250	C₂²×C₅	—	4	1	no	—
1251	C₂²×C₅	—	4	1	no	—
1252	C₂²×C₅	—	4	1	no	—
1253	C₂²×C₅	—	8	4	no	—
1254	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1255	C₂×D₅	—	4	1	no	—
1256	C₂×D₅	—	4	1	no	—
1257	C₂×D₅	—	4	1	no	—
1258	C₄×C₅	—	2	1	no	—
1259	C₄×C₅	—	2	1	no	—
1260	C₄×C₅	—	2	1	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	1	no	—
1263	C₄×C₅	—	4	1	no	—
1264	C₄×C₅	—	4	1	no	—
1265	C₄×C₅	—	4	1	no	—
1266	C₄×C₅	—	4	1	no	—
1267	C₄×C₅	—	4	1	no	—
1268	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1269	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1270	Dic₅	—	2	1	no	—
1271	Dic₅	—	2	1	no	—
1272	Dic₅	—	2	1	no	—
1273	Dic₅	—	2	1	no	—
1274	Dic₅	—	2	1	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	2	1	no	—
1277	Dic₅	—	4	1	no	—
1278	Dic₅	—	4	1	no	—
1279	Dic₅	—	4	1	no	—
1280	Dic₅	—	4	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	—	4	1	no	—
1284	Dic₅	#577	1	2	yes	—
1285	C₂⁴	—	2	1	no	—
1286	#41	—	40	2	no	—
1287	C₂×Q₈	—	2	1	no	—
1288	C₂×Q₈	—	5	1	no	—
1289	C₂×Q₈	—	5	1	no	—
1290	C₂×Q₈	—	5	1	no	—
1291	C₂×Q₈	—	5	1	no	—
1292	C₂×Q₈	—	5	1	no	—
1293	C₂×Q₈	—	10	1	no	—
1294	C₂×Q₈	—	10	1	no	—
1295	C₂×Q₈	—	10	1	no	—
1296	C₂×Q₈	—	10	1	no	—
1297	C₂×Q₈	—	10	1	no	—
1298	C₂×Q₈	—	10	1	no	—
1299	C₂×Q₈	—	10	1	no	—
1300	C₂×Q₈	—	10	1	no	—
1301	C₂×Q₈	—	10	1	no	—
1302	C₂×Q₈	—	10	1	no	—
1303	C₂×Q₈	—	10	1	no	—
1304	C₂×Q₈	—	40	2	no	—
1305	C₂×Q₈	—	40	2	no	—
1306	C₂×Q₈	—	40	2	no	—
1307	C₂×Q₈	—	40	2	no	—
1308	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1309	C₂×D₄	—	2	2	no	—
1310	C₂×D₄	—	2	2	no	—
1311	C₂×D₄	—	2	1	no	—
1312	C₂×D₄	—	2	1	no	—
1313	C₂×D₄	—	5	1	no	—
1314	C₂×D₄	—	10	1	no	—
1315	C₂×D₄	—	10	1	no	—
1316	C₂×D₄	—	10	1	no	—
1317	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1318	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1319	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	5	1	no	—
1326	C₂²×C₄	—	5	1	no	—
1327	C₂²×C₄	—	10	1	no	—
1328	C₂²×C₄	—	10	1	no	—
1329	C₂²×C₄	—	10	1	no	—
1330	C₂²×C₄	—	10	1	no	—
1331	C₂²×C₄	—	10	1	no	—
1332	C₂²×C₄	—	10	1	no	—
1333	C₂²×C₄	—	10	1	no	—
1334	C₂²×C₄	—	10	1	no	—
1335	C₂²×C₄	—	10	1	no	—
1336	C₂²×C₄	—	10	1	no	—
1337	C₂²×C₄	—	10	1	no	—
1338	C₂²×C₄	—	10	1	no	—
1339	C₂²×C₄	—	10	1	no	—
1340	C₂²×C₄	—	10	1	no	—
1341	C₂²×C₄	—	40	2	no	—
1342	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1343	SD₁₆	—	2	2	no	—
1344	SD₁₆	—	2	2	no	—
1345	SD₁₆	—	10	2	no	—
1346	SD₁₆	—	10	2	no	—
1347	D₈	—	2	2	no	—
1348	D₈	—	2	2	no	—
1349	D₈	—	10	2	no	—
1350	D₈	—	10	2	no	—
1351	C₂×C₈	—	5	1	no	—
1352	C₂×C₈	—	5	1	no	—
1353	C₂×C₈	—	5	1	no	—
1354	C₂×C₈	—	5	1	no	—
1355	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	5	1	no	—
1363	C₄⋊C₄	—	5	1	no	—
1364	C₄⋊C₄	—	5	1	no	—
1365	C₄⋊C₄	—	5	1	no	—
1366	C₄⋊C₄	—	5	1	no	—
1367	C₄⋊C₄	—	5	1	no	—
1368	C₄⋊C₄	—	5	1	no	—
1369	C₄⋊C₄	—	5	1	no	—
1370	C₄⋊C₄	—	5	1	no	—
1371	C₄⋊C₄	—	5	1	no	—
1372	C₄⋊C₄	—	5	1	no	—
1373	C₄⋊C₄	—	5	1	no	—
1374	C₄⋊C₄	—	5	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	5	1	no	—
1378	C₄⋊C₄	—	5	1	no	—
1379	C₄⋊C₄	—	5	1	no	—
1380	C₄⋊C₄	—	5	1	no	—
1381	C₄⋊C₄	—	5	1	no	—
1382	C₄⋊C₄	—	10	1	no	—
1383	C₄⋊C₄	—	10	1	no	—
1384	C₄⋊C₄	—	10	1	no	—
1385	C₄⋊C₄	—	10	1	no	—
1386	C₄⋊C₄	—	10	1	no	—
1387	C₄⋊C₄	—	10	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1415	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1416	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1417	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1418	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1419	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	5	1	no	—
1431	C₂²⋊C₄	—	5	1	no	—
1432	C₂²⋊C₄	—	10	1	no	—
1433	C₂²⋊C₄	—	10	1	no	—
1434	C₂²⋊C₄	—	10	1	no	—
1435	C₂²⋊C₄	—	10	1	no	—
1436	C₂²⋊C₄	—	10	1	no	—
1437	C₂²⋊C₄	—	10	1	no	—
1438	C₂²⋊C₄	—	10	1	no	—
1439	C₂²⋊C₄	—	10	1	no	—
1440	C₂²⋊C₄	—	10	1	no	—
1441	C₂²⋊C₄	—	10	1	no	—
1442	C₂²⋊C₄	—	10	1	no	—
1443	C₂²⋊C₄	—	10	1	no	—
1444	C₂²⋊C₄	—	10	1	no	—
1445	C₂²⋊C₄	—	10	1	no	—
1446	C₂²⋊C₄	—	10	1	no	—
1447	C₂²⋊C₄	—	10	1	no	—
1448	C₂²⋊C₄	—	10	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1455	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	—	5	1	no	—
1459	C₄²	—	5	1	no	—
1460	C₄²	—	5	1	no	—
1461	C₄²	—	5	1	no	—
1462	C₄²	—	5	1	no	—
1463	C₄²	—	5	1	no	—
1464	C₄²	—	10	1	no	—
1465	C₄²	—	10	1	no	—
1466	C₄²	—	10	1	no	—
1467	C₄²	—	10	1	no	—
1468	C₄²	—	10	1	no	—
1469	C₄²	—	10	1	no	—
1470	C₄²	C₂³×D₅	1	1	yes	characteristic
1471	C₄²	C₂³×D₅	1	1	yes	characteristic
1472	C₂×C₅	—	4	1	no	—
1473	C₂×C₅	—	4	2	no	—
1474	C₂×C₅	—	4	2	no	—
1475	C₂×C₅	—	8	1	no	—
1476	C₂×C₅	#3486	1	1	yes	characteristic
1477	C₂×C₅	C₂×#577	1	1	yes	characteristic
1478	C₂×C₅	#3585	1	1	yes	characteristic
1479	D₅	—	8	1	no	—
1480	C₂³	—	2	4	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	8	1	no	—
1485	C₂³	—	8	1	no	—
1486	C₂³	—	10	1	no	—
1487	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1488	Q₈	—	2	1	no	—
1489	Q₈	—	2	1	no	—
1490	Q₈	—	8	1	no	—
1491	Q₈	—	10	2	no	—
1492	Q₈	—	10	2	no	—
1493	Q₈	—	10	1	no	—
1494	Q₈	—	10	1	no	—
1495	Q₈	—	20	1	no	—
1496	Q₈	—	20	1	no	—
1497	Q₈	—	20	2	no	—
1498	Q₈	—	20	2	no	—
1499	Q₈	—	40	1	no	—
1500	Q₈	—	40	1	no	—
1501	Q₈	—	40	1	no	—
1502	Q₈	—	40	1	no	—
1503	Q₈	—	40	1	no	—
1504	Q₈	—	40	1	no	—
1505	Q₈	—	40	1	no	—
1506	Q₈	—	40	1	no	—
1507	Q₈	—	40	1	no	—
1508	D₄	—	2	4	no	—
1509	D₄	—	2	1	no	—
1510	D₄	—	2	1	no	—
1511	D₄	—	2	1	no	—
1512	D₄	—	2	1	no	—
1513	D₄	—	8	1	no	—
1514	D₄	—	10	1	no	—
1515	D₄	—	10	1	no	—
1516	D₄	—	20	2	no	—
1517	D₄	—	40	1	no	—
1518	D₄	—	40	1	no	—
1519	D₄	#4150	1	2	yes	—
1520	D₄	#4150	1	2	yes	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	5	1	no	—
1529	C₂×C₄	—	5	1	no	—
1530	C₂×C₄	—	5	1	no	—
1531	C₂×C₄	—	5	1	no	—
1532	C₂×C₄	—	5	1	no	—
1533	C₂×C₄	—	5	1	no	—
1534	C₂×C₄	—	5	1	no	—
1535	C₂×C₄	—	5	1	no	—
1536	C₂×C₄	—	8	1	no	—
1537	C₂×C₄	—	8	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	8	1	no	—
1540	C₂×C₄	—	8	1	no	—
1541	C₂×C₄	—	10	2	no	—
1542	C₂×C₄	—	10	1	no	—
1543	C₂×C₄	—	10	1	no	—
1544	C₂×C₄	—	10	1	no	—
1545	C₂×C₄	—	10	1	no	—
1546	C₂×C₄	—	10	1	no	—
1547	C₂×C₄	—	10	1	no	—
1548	C₂×C₄	—	10	1	no	—
1549	C₂×C₄	—	20	2	no	—
1550	C₂×C₄	—	20	2	no	—
1551	C₂×C₄	—	20	2	no	—
1552	C₂×C₄	—	20	1	no	—
1553	C₂×C₄	—	20	2	no	—
1554	C₂×C₄	—	40	1	no	—
1555	C₂×C₄	—	40	1	no	—
1556	C₂×C₄	—	40	1	no	—
1557	C₂×C₄	—	40	1	no	—
1558	C₂×C₄	—	40	1	no	—
1559	C₂×C₄	—	40	1	no	—
1560	C₂×C₄	—	40	1	no	—
1561	C₂×C₄	—	40	1	no	—
1562	C₂×C₄	—	40	1	no	—
1563	C₂×C₄	—	40	1	no	—
1564	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1565	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1566	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1567	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1568	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1569	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1570	C₈	—	2	1	no	—
1571	C₈	—	2	1	no	—
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	10	1	no	—
1575	C₈	—	10	1	no	—
1576	C₈	—	10	1	no	—
1577	C₈	—	10	1	no	—
1578	C₅	#61850	1	1	yes	characteristic, complemented, Sylow
1579	C₂²	—	2	1	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	8	4	no	—
1592	C₂²	—	20	1	no	—
1593	C₂²	—	20	1	no	—
1594	C₂²	—	20	1	no	—
1595	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	5	2	no	—
1607	C₄	—	10	1	no	—
1608	C₄	—	10	1	no	—
1609	C₄	—	10	1	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	10	1	no	—
1613	C₄	—	10	1	no	—
1614	C₄	—	20	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	—	20	1	no	—
1619	C₄	—	20	1	no	—
1620	C₄	—	20	1	no	—
1621	C₄	C₂×#4150	1	1	yes	characteristic
1622	C₄	C₂×#4150	1	1	yes	characteristic
1623	C₂	—	4	1	no	—
1624	C₂	—	4	2	no	—
1625	C₂	—	4	2	no	—
1626	C₂	—	8	1	no	—
1627	C₂	—	40	1	no	—
1628	C₂	#10617923	1	1	yes	characteristic
1629	C₂	#10619105	1	1	yes	characteristic
1630	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3118	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10611721	C₂
hypercenter	#3118	D₅
hypocenter	C₅	#61850
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3118

Complements

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

N	H ≅ G/N	type
1. #10618435	C₂	semidirect
2. #10617761	C₂	semidirect
3. C₅×#3118	C₂	semidirect
4. #10615186	C₂	semidirect
5. #10614272	C₂	semidirect
6. #10613238	C₂	semidirect
7. #10613233	C₂	semidirect
8. #10613094	C₂	semidirect
9. #10613087	C₂	semidirect
10. #10612786	C₂	semidirect
11. #10612784	C₂	semidirect
12. #10612691	C₂	semidirect
13. #10612690	C₂	semidirect
14. #10612254	C₂	semidirect
15. #10612253	C₂	semidirect
16. #10612252	C₂	semidirect
17. #10612248	C₂	semidirect
18. #10611867	C₂	semidirect
19. #10611863	C₂	semidirect
20. #10611723	C₂	semidirect
22. #10611586	C₂	semidirect
23. #10611584	C₂	semidirect
24. #10611490	C₂	semidirect
25. #10611488	C₂	semidirect
26. SD₁₆×Dic₁₀	C₂	semidirect
27. #10611361	C₂	semidirect
28. #10611307	C₂	semidirect
29. #10611300	C₂	semidirect
30. #10611096	C₂	semidirect
31. #10611090	C₂	semidirect
36. #66061	C₂²	semidirect
37. #66056	C₂²	semidirect
40. #66015	C₂²	semidirect
42. #66005	C₂²	semidirect
52. #65902	C₂²	semidirect
53. Q₈×Dic₁₀	C₂²	semidirect
54. #65893	C₂²	semidirect
67. D₄×Dic₁₀	C₂²	semidirect
108. #65369	C₂²	semidirect
109. #65368	C₂²	semidirect
110. #65345	C₂²	semidirect
111. #65344	C₂²	semidirect
116. #65311	C₂²	semidirect
117. #65309	C₂²	semidirect
124. #65298	C₂²	semidirect
126. #65297	C₂²	semidirect
131. #65180	C₂²	semidirect
132. #65180	C₂²	semidirect
133. #65166	C₂²	semidirect
134. #65165	C₂²	semidirect
135. #65165	C₂²	semidirect
136. #65165	C₂²	semidirect
137. #65164	C₂²	semidirect
138. #65163	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65145	C₂²	semidirect
142. #65144	C₂²	semidirect
143. #65144	C₂²	semidirect
144. #65144	C₂²	semidirect
145. #65143	C₂²	semidirect
146. #65143	C₂²	semidirect
147. #65140	C₂²	semidirect
148. #65136	C₂²	semidirect
149. #65131	C₂²	semidirect
150. #65120	C₂²	semidirect
151. #65119	C₂²	semidirect
152. #65118	C₂²	semidirect
153. #65117	C₂²	semidirect
154. #65117	C₂²	semidirect
155. #65089	C₂²	semidirect
156. #65088	C₂²	semidirect
157. #65086	C₂²	semidirect
158. #65086	C₂²	semidirect
159. #65084	C₂²	semidirect
160. #65083	C₂²	semidirect
161. #65080	C₂²	semidirect
162. #65080	C₂²	semidirect
166. #65057	C₂²	semidirect
167. #65055	C₂²	semidirect
168. #65054	C₂²	semidirect
169. #65052	C₂²	semidirect
170. #65052	C₂²	semidirect
177. #65050	C₂²	semidirect
178. #65049	C₂²	semidirect
179. #65049	C₂²	semidirect
195. #65003	C₂²	semidirect
196. #64991	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
199. #64986	C₂²	semidirect
200. #64969	C₂²	semidirect
201. #64968	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
506. #3118	D₅	semidirect
1578. C₅	#61850	semidirect

Maximal subgroups

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

subgroup	index
#10618435	2
#10617761	2
C₅×#3118	2
#10615186	2
#10614272	2
#10613238	2
#10613233	2
#10613094	2
#10613087	2
#10612786	2
#10612784	2
#10612691	2
#10612690	2
#10612254	2
#10612253	2
#10612252	2
#10612248	2
#10611867	2
#10611863	2
#10611723	2
#10611721	2
#10611586	2
#10611584	2
#10611490	2
#10611488	2
SD₁₆×Dic₁₀	2
#10611361	2
#10611307	2
#10611300	2
#10611096	2
#10611090	2
#61850	5