Subgroups — #12989921

Order 1280.

1670 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618190	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618183	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2985	C₂	1	1	yes	maximal, characteristic, complemented
4	#10611718	C₂	1	1	yes	maximal, characteristic, complemented
5	#10611713	C₂	1	1	yes	maximal, characteristic, complemented
6	#10611713	C₂	1	1	yes	maximal, characteristic, complemented
7	#10611711	C₂	1	1	yes	maximal, characteristic, complemented
8	#10611710	C₂	1	1	yes	maximal, characteristic, complemented
9	#10611709	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611709	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611708	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611706	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611702	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611702	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611700	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611666	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611662	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611661	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611658	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611120	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611119	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611115	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611115	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611096	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611095	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611093	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611093	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611076	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611049	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611032	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611005	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#533	C₂²	1	1	yes	characteristic
33	#66067	—	2	1	no	—
34	#66063	—	2	1	no	—
35	#66063	—	2	1	no	—
36	#66058	—	2	1	no	—
37	#66026	—	2	1	no	—
38	#66026	—	2	1	no	—
39	#66022	—	2	1	no	—
40	D₅×#125	—	2	1	no	—
41	#65981	—	2	1	no	—
42	#65981	—	2	1	no	—
43	#65970	—	2	1	no	—
44	#65970	—	2	1	no	—
45	#65970	—	2	1	no	—
46	#65970	—	2	1	no	—
47	#65967	—	2	1	no	—
48	#65965	—	2	1	no	—
49	#65919	C₂²	1	1	yes	characteristic
50	#65919	C₂²	1	1	yes	characteristic
51	#65919	C₂²	1	1	yes	characteristic
52	#65913	C₂²	1	1	yes	characteristic
53	#65913	C₂²	1	1	yes	characteristic
54	#65913	C₂²	1	1	yes	characteristic
55	#65913	C₂²	1	1	yes	characteristic
56	#65913	C₂²	1	1	yes	characteristic
57	#65913	C₂²	1	1	yes	characteristic
58	#65911	C₂²	1	1	yes	characteristic
59	Q₈×D₂₀	C₂²	1	1	yes	characteristic
60	#65901	C₂²	1	1	yes	characteristic
61	#65901	C₂²	1	1	yes	characteristic
62	#65901	C₂²	1	1	yes	characteristic
63	#65901	C₂²	1	1	yes	characteristic
64	#65901	C₂²	1	1	yes	characteristic
65	#65869	C₂²	1	1	yes	characteristic
66	#65869	C₂²	1	1	yes	characteristic
67	#65868	C₂²	1	1	yes	characteristic
68	#65868	C₂²	1	1	yes	characteristic
69	#65857	C₂²	1	1	yes	characteristic
70	#65857	C₂²	1	1	yes	characteristic
71	#65853	C₂²	1	1	yes	characteristic
72	#65853	C₂²	1	1	yes	characteristic
73	#65813	C₂²	1	1	yes	characteristic
74	#65811	C₂²	1	1	yes	characteristic
75	C₄×#709	C₂²	1	1	yes	characteristic
76	C₂×#4016	C₂²	1	1	yes	characteristic
77	C₅×#446	C₂²	1	1	yes	characteristic
78	C₅×#446	C₂²	1	1	yes	characteristic
79	C₅×#446	C₂²	1	1	yes	characteristic
80	C₅×#446	C₂²	1	1	yes	characteristic
81	C₅×#446	C₂²	1	1	yes	characteristic
82	C₅×#446	C₂²	1	1	yes	characteristic
83	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic
84	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic
85	C₅×#433	C₂²	1	1	yes	characteristic
86	C₅×#433	C₂²	1	1	yes	characteristic
87	C₅×#433	C₂²	1	1	yes	characteristic
88	C₅×#433	C₂²	1	1	yes	characteristic
89	C₅×#432	C₂²	1	1	yes	characteristic
90	C₅×#431	C₂²	1	1	yes	characteristic
91	#65140	C₂²	1	1	yes	characteristic
92	#65140	C₂²	1	1	yes	characteristic
93	#65139	C₂²	1	1	yes	characteristic
94	#65139	C₂²	1	1	yes	characteristic
95	#65139	C₂²	1	1	yes	characteristic
96	#65137	C₂²	1	1	yes	characteristic
97	#65137	C₂²	1	1	yes	characteristic
98	#65137	C₂²	1	1	yes	characteristic
99	#65136	C₂²	1	1	yes	characteristic
100	#65136	C₂²	1	1	yes	characteristic
101	#65136	C₂²	1	1	yes	characteristic
102	#65136	C₂²	1	1	yes	characteristic
103	#65136	C₂²	1	1	yes	characteristic
104	#65136	C₂²	1	1	yes	characteristic
105	#65136	C₂²	1	1	yes	characteristic
106	#65136	C₂²	1	1	yes	characteristic
107	#65136	C₂²	1	1	yes	characteristic
108	#65136	C₂²	1	1	yes	characteristic
109	#65136	C₂²	1	1	yes	characteristic
110	#65136	C₂²	1	1	yes	characteristic
111	#65136	C₂²	1	1	yes	characteristic
112	#65136	C₂²	1	1	yes	characteristic
113	#65136	C₂²	1	1	yes	characteristic
114	#65135	C₂²	1	1	yes	characteristic
115	#65135	C₂²	1	1	yes	characteristic
116	#65135	C₂²	1	1	yes	characteristic
117	#65135	C₂²	1	1	yes	characteristic
118	#65134	C₂²	1	1	yes	characteristic
119	#65134	C₂²	1	1	yes	characteristic
120	#65134	C₂²	1	1	yes	characteristic
121	#65133	C₂²	1	1	yes	characteristic
122	#65133	C₂²	1	1	yes	characteristic
123	#65133	C₂²	1	1	yes	characteristic
124	#65132	C₂²	1	1	yes	characteristic
125	#65132	C₂²	1	1	yes	characteristic
126	#65132	C₂²	1	1	yes	characteristic
127	#65131	C₂²	1	1	yes	characteristic
128	#65131	C₂²	1	1	yes	characteristic
129	#65131	C₂²	1	1	yes	characteristic
130	#65131	C₂²	1	1	yes	characteristic
131	#65131	C₂²	1	1	yes	characteristic
132	#65118	C₂²	1	1	yes	characteristic
133	#65118	C₂²	1	1	yes	characteristic
134	#65118	C₂²	1	1	yes	characteristic
135	#65118	C₂²	1	1	yes	characteristic
136	#65118	C₂²	1	1	yes	characteristic
137	#65118	C₂²	1	1	yes	characteristic
138	#65118	C₂²	1	1	yes	characteristic
139	#65026	C₂²	1	1	yes	characteristic
140	#65026	C₂²	1	1	yes	characteristic
141	#65026	C₂²	1	1	yes	characteristic
142	#65025	C₂²	1	1	yes	characteristic
143	#65025	C₂²	1	1	yes	characteristic
144	#65025	C₂²	1	1	yes	characteristic
145	#65024	C₂²	1	1	yes	characteristic
146	#65024	C₂²	1	1	yes	characteristic
147	#65024	C₂²	1	1	yes	characteristic
148	#65023	C₂²	1	1	yes	characteristic
149	#65023	C₂²	1	1	yes	characteristic
150	#65023	C₂²	1	1	yes	characteristic
151	#65022	C₂²	1	1	yes	characteristic
152	#65012	C₂²	1	1	yes	characteristic
153	#65011	C₂²	1	1	yes	characteristic
154	#65010	C₂²	1	1	yes	characteristic
155	#65005	C₂²	1	1	yes	characteristic
156	#65005	C₂²	1	1	yes	characteristic
157	#65003	C₂²	1	1	yes	characteristic
158	#65003	C₂²	1	1	yes	characteristic
159	#65002	C₂²	1	1	yes	characteristic
160	#65002	C₂²	1	1	yes	characteristic
161	#65002	C₂²	1	1	yes	characteristic
162	#65002	C₂²	1	1	yes	characteristic
163	#65000	C₂²	1	1	yes	characteristic
164	#65000	C₂²	1	1	yes	characteristic
165	#65000	C₂²	1	1	yes	characteristic
166	#65000	C₂²	1	1	yes	characteristic
167	#64999	C₂²	1	1	yes	characteristic
168	#64999	C₂²	1	1	yes	characteristic
169	#64999	C₂²	1	1	yes	characteristic
170	#64999	C₂²	1	1	yes	characteristic
171	#64999	C₂²	1	1	yes	characteristic
172	#64999	C₂²	1	1	yes	characteristic
173	#64991	C₂²	1	1	yes	characteristic
174	#64991	C₂²	1	1	yes	characteristic
175	#64991	C₂²	1	1	yes	characteristic
176	#64991	C₂²	1	1	yes	characteristic
177	#64991	C₂²	1	1	yes	characteristic
178	#64991	C₂²	1	1	yes	characteristic
179	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
180	#64986	C₂²	1	1	yes	characteristic
181	#64986	C₂²	1	1	yes	characteristic
182	#64986	C₂²	1	1	yes	characteristic
183	#64986	C₂²	1	1	yes	characteristic
184	#64983	C₂²	1	1	yes	characteristic
185	#64983	C₂²	1	1	yes	characteristic
186	C₄×D₄₀	C₂²	1	1	yes	characteristic
187	C₄×D₄₀	C₂²	1	1	yes	characteristic
188	C₄×D₄₀	C₂²	1	1	yes	characteristic
189	C₄×D₄₀	C₂²	1	1	yes	characteristic
190	C₄×D₄₀	C₂²	1	1	yes	characteristic
191	C₄×#677	C₂²	1	1	yes	characteristic
192	C₄×#677	C₂²	1	1	yes	characteristic
193	C₄×#677	C₂²	1	1	yes	characteristic
194	C₄×#677	C₂²	1	1	yes	characteristic
195	C₄×#677	C₂²	1	1	yes	characteristic
196	C₄×#677	C₂²	1	1	yes	characteristic
197	#64972	C₂²	1	1	yes	characteristic
198	#64972	C₂²	1	1	yes	characteristic
199	#64972	C₂²	1	1	yes	characteristic
200	#64972	C₂²	1	1	yes	characteristic
201	#64971	C₂²	1	1	yes	characteristic
202	#64969	C₂²	1	1	yes	characteristic
203	#61861	—	5	1	no	maximal, Sylow
204	C₂×#713	—	2	1	no	—
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×#709	—	2	1	no	—
207	C₂×#709	C₂³	1	1	yes	characteristic
208	C₅×C₄⋊Q₈	D₄	1	1	yes	characteristic
209	C₅×C₄⋊Q₈	D₄	1	1	yes	characteristic
210	C₅×#125	D₄	1	1	yes	characteristic
211	C₅×#125	D₄	1	1	yes	characteristic
212	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
213	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
214	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
215	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
216	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
217	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
218	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
219	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
220	C₅×#117	C₂³	1	1	yes	characteristic
221	C₅×#117	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
223	#4093	—	2	1	no	—
224	#4093	—	2	1	no	—
225	#4093	—	2	1	no	—
226	#4092	—	2	1	no	—
227	#4092	—	2	1	no	—
228	#4092	—	2	1	no	—
229	#4092	—	2	1	no	—
230	#4092	—	2	1	no	—
231	#4092	—	2	1	no	—
232	#4090	—	2	1	no	—
233	#4090	—	2	1	no	—
234	#4090	—	2	1	no	—
235	#4090	—	2	1	no	—
236	#4090	—	2	1	no	—
237	#4076	—	2	1	no	—
238	#4076	C₂³	1	1	yes	characteristic
239	#4076	C₂³	1	1	yes	characteristic
240	#4076	C₂³	1	1	yes	characteristic
241	#4075	—	2	1	no	—
242	C₄×C₂²⋊D₅	—	2	1	no	—
243	C₄×C₂²⋊D₅	—	2	1	no	—
244	C₄×C₂²⋊D₅	—	2	1	no	—
245	#4072	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
248	#4070	C₂³	1	1	yes	characteristic
249	C₂×#683	—	2	1	no	—
250	C₂×#683	—	2	1	no	—
251	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
252	C₂×D₄₀	C₂³	1	1	yes	characteristic
253	C₂×D₄₀	C₂³	1	1	yes	characteristic
254	C₂×D₄₀	C₂³	1	1	yes	characteristic
255	C₂×#677	C₂³	1	1	yes	characteristic
256	C₂×#677	C₂³	1	1	yes	characteristic
257	C₂×#677	C₂³	1	1	yes	characteristic
258	C₂×#677	C₂³	1	1	yes	characteristic
259	#4044	—	2	1	no	—
260	#4044	—	2	1	no	—
261	#4043	—	2	1	no	—
262	#4043	—	2	1	no	—
263	#4043	—	2	1	no	—
264	#4042	—	2	1	no	—
265	#4042	—	2	1	no	—
266	#4042	—	2	1	no	—
267	#4042	—	2	1	no	—
268	#4042	—	2	1	no	—
269	#4042	—	2	1	no	—
270	#4042	—	2	1	no	—
271	#4042	—	2	1	no	—
272	#4042	—	2	1	no	—
273	#4042	—	2	1	no	—
274	#4042	—	2	1	no	—
275	#4042	—	2	1	no	—
276	#4042	—	2	1	no	—
277	#4042	—	2	1	no	—
278	#4041	—	2	1	no	—
279	#4041	—	2	1	no	—
280	#4041	—	2	1	no	—
281	#4040	—	2	1	no	—
282	#4040	—	2	1	no	—
283	#4040	—	2	1	no	—
284	#4040	—	2	1	no	—
285	#4040	—	2	1	no	—
286	#4040	—	2	1	no	—
287	#4040	—	2	1	no	—
288	#4040	—	2	1	no	—
289	#4040	—	2	1	no	—
290	#4040	—	2	1	no	—
291	#4039	—	2	1	no	—
292	#4039	—	2	1	no	—
293	#4039	—	2	1	no	—
294	#4038	—	2	1	no	—
295	#4038	—	2	1	no	—
296	D₅×C₄⋊C₄	—	2	1	no	—
297	D₅×C₄⋊C₄	—	2	1	no	—
298	D₅×C₄⋊C₄	—	2	1	no	—
299	D₅×C₄⋊C₄	—	2	1	no	—
300	D₅×C₄⋊C₄	—	2	1	no	—
301	D₅×C₄⋊C₄	—	2	1	no	—
302	D₅×C₄⋊C₄	—	2	1	no	—
303	D₅×C₄⋊C₄	—	2	1	no	—
304	#4036	—	2	1	no	—
305	#4036	—	2	1	no	—
306	#4035	—	2	1	no	—
307	#4035	—	2	1	no	—
308	#4035	—	2	1	no	—
309	#4035	—	2	1	no	—
310	#4035	—	2	1	no	—
311	#4035	—	2	1	no	—
312	#4035	—	2	1	no	—
313	#4035	—	2	1	no	—
314	#4035	—	2	1	no	—
315	#4035	—	2	1	no	—
316	#4034	—	2	1	no	—
317	#4034	—	2	1	no	—
318	#4033	—	2	1	no	—
319	#4033	—	2	1	no	—
320	#4033	—	2	1	no	—
321	#4033	—	2	1	no	—
322	#4033	—	2	1	no	—
323	#4031	—	2	1	no	—
324	#4031	—	2	1	no	—
325	#4030	—	2	1	no	—
326	#4030	—	2	1	no	—
327	#4030	—	2	1	no	—
328	#4030	—	2	1	no	—
329	#4029	—	2	1	no	—
330	#4029	—	2	1	no	—
331	#4027	—	2	1	no	—
332	#4027	—	2	1	no	—
333	#4027	—	2	1	no	—
334	#4027	—	2	1	no	—
335	#4024	—	2	1	no	—
336	#4024	—	2	1	no	—
337	#4024	—	2	1	no	—
338	#4024	—	2	1	no	—
339	#4022	—	2	1	no	—
340	#4021	—	2	1	no	—
341	#4021	C₂³	1	1	yes	characteristic
342	#4021	C₂³	1	1	yes	characteristic
343	#4021	C₂³	1	1	yes	characteristic
344	#4020	C₂³	1	1	yes	characteristic
345	#4020	C₂³	1	1	yes	characteristic
346	#4020	C₂³	1	1	yes	characteristic
347	C₄×D₂₀	—	2	1	no	—
348	C₄×D₂₀	C₂³	1	1	yes	characteristic
349	C₄×D₂₀	C₂³	1	1	yes	characteristic
350	C₄×D₂₀	C₂³	1	1	yes	characteristic
351	C₄×D₂₀	C₂³	1	1	yes	characteristic
352	C₄×D₂₀	C₂³	1	1	yes	characteristic
353	C₄×D₂₀	C₂³	1	1	yes	characteristic
354	C₄×D₂₀	C₂³	1	1	yes	characteristic
355	C₄×D₂₀	C₂³	1	1	yes	characteristic
356	C₄×D₂₀	C₂³	1	1	yes	characteristic
357	C₄×D₂₀	C₂³	1	1	yes	characteristic
358	C₄×D₂₀	C₂³	1	1	yes	characteristic
359	C₄×D₂₀	C₂³	1	1	yes	characteristic
360	C₄×D₂₀	C₂³	1	1	yes	characteristic
361	C₄×D₂₀	C₂³	1	1	yes	characteristic
362	C₄×D₂₀	C₂³	1	1	yes	characteristic
363	#4018	—	2	1	no	—
364	#4018	—	2	1	no	—
365	C₄²×D₅	—	2	1	no	—
366	#4016	—	2	1	no	—
367	#4016	—	2	1	no	—
368	#4016	C₂³	1	1	yes	characteristic
369	#4016	C₂³	1	1	yes	characteristic
370	#4016	C₂³	1	1	yes	characteristic
371	#4016	C₂³	1	1	yes	characteristic
372	#4016	C₂³	1	1	yes	characteristic
373	#4016	C₂³	1	1	yes	characteristic
374	#4016	C₂³	1	1	yes	characteristic
375	#4016	C₂³	1	1	yes	characteristic
376	#4016	C₂³	1	1	yes	characteristic
377	#4016	C₂³	1	1	yes	characteristic
378	#4016	C₂³	1	1	yes	characteristic
379	#4015	C₂³	1	1	yes	characteristic
380	#4015	C₂³	1	1	yes	characteristic
381	#4015	C₂³	1	1	yes	characteristic
382	#4015	C₂³	1	1	yes	characteristic
383	#4015	C₂³	1	1	yes	characteristic
384	#4015	C₂³	1	1	yes	characteristic
385	#4015	C₂³	1	1	yes	characteristic
386	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
387	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
388	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
389	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
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×C₄⋊C₈	C₂³	1	1	yes	characteristic
396	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
397	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₅×C₄⋊C₈	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
408	C₅×C₂²⋊C₈	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	C₅×#97	C₂³	1	1	yes	characteristic
413	C₅×#97	C₂³	1	1	yes	characteristic
414	C₅×#97	C₂³	1	1	yes	characteristic
415	C₅×#97	C₂³	1	1	yes	characteristic
416	C₅×#97	C₂³	1	1	yes	characteristic
417	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
418	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
419	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
420	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
421	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
422	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
423	#3953	C₂³	1	1	yes	characteristic
424	#3953	C₂³	1	1	yes	characteristic
425	#3953	C₂³	1	1	yes	characteristic
426	#3953	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	#3953	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3950	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3950	C₂³	1	1	yes	characteristic
453	#3950	C₂³	1	1	yes	characteristic
454	#3950	C₂³	1	1	yes	characteristic
455	#3950	C₂³	1	1	yes	characteristic
456	#3950	C₂³	1	1	yes	characteristic
457	#3949	C₂³	1	1	yes	characteristic
458	#3949	C₂³	1	1	yes	characteristic
459	#3949	C₂³	1	1	yes	characteristic
460	#3949	C₂³	1	1	yes	characteristic
461	#3949	C₂³	1	1	yes	characteristic
462	#3949	C₂³	1	1	yes	characteristic
463	#3949	C₂³	1	1	yes	characteristic
464	#3949	C₂³	1	1	yes	characteristic
465	#3949	C₂³	1	1	yes	characteristic
466	#3949	C₂³	1	1	yes	characteristic
467	#3949	C₂³	1	1	yes	characteristic
468	#3949	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic
470	#3948	C₂³	1	1	yes	characteristic
471	#3948	C₂³	1	1	yes	characteristic
472	#3948	C₂³	1	1	yes	characteristic
473	#3948	C₂³	1	1	yes	characteristic
474	#3948	C₂³	1	1	yes	characteristic
475	#3948	C₂³	1	1	yes	characteristic
476	#3948	C₂³	1	1	yes	characteristic
477	#3948	C₂³	1	1	yes	characteristic
478	#3948	C₂³	1	1	yes	characteristic
479	#3554	—	5	1	no	—
480	#3504	—	5	1	no	—
481	#3390	—	5	1	no	—
482	#3389	—	5	1	no	—
483	#3388	—	5	1	no	—
484	#3388	—	5	1	no	—
485	#3386	—	5	1	no	—
486	#3384	—	5	1	no	—
487	#3381	—	5	1	no	—
488	#3380	—	5	1	no	—
489	#3371	—	5	1	no	—
490	#3371	—	5	1	no	—
491	#3370	—	5	1	no	—
492	#3370	—	5	1	no	—
493	#3368	—	5	1	no	—
494	#3366	—	5	1	no	—
495	#3365	—	5	1	no	—
496	#3361	—	5	1	no	—
497	#3244	—	5	1	no	—
498	#3243	—	5	1	no	—
499	#3241	—	5	1	no	—
500	#3241	—	5	1	no	—
501	#3234	—	5	1	no	—
502	#3232	—	5	1	no	—
503	#3125	—	5	1	no	—
504	#3124	—	5	1	no	—
505	#3119	—	5	1	no	—
506	#3119	—	5	1	no	—
507	#3111	—	5	1	no	—
508	#3106	—	5	1	no	—
509	#2985	D₅	1	1	yes	characteristic, complemented
510	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
511	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
512	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
513	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₅	—	2	1	no	—
518	C₂×C₂²⋊D₅	—	2	1	no	—
519	C₂×C₂²⋊D₅	—	2	1	no	—
520	C₂×C₂²⋊D₅	—	2	1	no	—
521	C₂²×Dic₅	—	2	1	no	—
522	C₂²×Dic₅	—	2	1	no	—
523	#713	—	8	2	no	—
524	Q₈×D₅	—	8	2	no	—
525	#709	—	2	2	no	—
526	#709	—	2	2	no	—
527	#709	—	8	2	no	—
528	C₂×D₂₀	—	2	1	no	—
529	C₂×D₂₀	—	2	1	no	—
530	C₂×D₂₀	—	2	1	no	—
531	C₂×D₂₀	—	2	1	no	—
532	C₂×D₂₀	—	2	1	no	—
533	C₂×D₂₀	—	2	1	no	—
534	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
535	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
536	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
537	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₅	—	2	1	no	—
539	C₂×C₄×D₅	—	2	1	no	—
540	C₂×C₄×D₅	—	2	1	no	—
541	C₂×C₄×D₅	—	2	1	no	—
542	C₂×C₄×D₅	—	2	1	no	—
543	C₂×C₄×D₅	—	2	1	no	—
544	C₂×C₄×D₅	—	2	1	no	—
545	C₂×C₄×D₅	—	2	1	no	—
546	C₂×C₄×D₅	—	2	1	no	—
547	C₂×C₄×D₅	—	2	1	no	—
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	—	2	1	no	—
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	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	—	2	1	no	—
561	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
562	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
563	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
571	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
572	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
573	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
574	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
575	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
578	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
579	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
592	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
593	C₄²×C₅	C₂⁴	1	1	yes	characteristic
594	C₄²×C₅	C₂⁴	1	1	yes	characteristic
595	C₄²×C₅	C₂⁴	1	1	yes	characteristic
596	C₄²×C₅	C₂⁴	1	1	yes	characteristic
597	C₄²×C₅	C₂⁴	1	1	yes	characteristic
598	C₄²×C₅	C₂⁴	1	1	yes	characteristic
599	C₂²⋊Dic₅	—	2	1	no	—
600	C₂²⋊Dic₅	—	2	1	no	—
601	#685	—	2	1	no	—
602	#685	—	2	1	no	—
603	#685	—	2	1	no	—
604	#685	—	2	1	no	—
605	#685	—	2	1	no	—
606	#685	—	2	1	no	—
607	#685	—	2	1	no	—
608	#685	—	2	1	no	—
609	#685	—	2	1	no	—
610	#685	—	2	1	no	—
611	#685	—	2	1	no	—
612	#685	—	2	1	no	—
613	#685	—	2	1	no	—
614	#685	—	2	1	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	C₄⋊Dic₅	—	2	1	no	—
626	C₄⋊Dic₅	—	2	1	no	—
627	C₄⋊Dic₅	—	2	1	no	—
628	C₄⋊Dic₅	—	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	C₂⁴	1	1	yes	characteristic
635	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
636	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
643	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
644	#683	—	2	1	no	—
645	#683	—	2	1	no	—
646	#683	—	2	1	no	—
647	#683	—	2	1	no	—
648	#683	—	2	1	no	—
649	#683	—	2	1	no	—
650	#683	—	2	1	no	—
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	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	C₄×Dic₅	—	2	1	no	—
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	Dic₂₀	—	2	2	no	—
687	D₄₀	—	2	2	no	—
688	D₄₀	—	2	2	no	—
689	D₄₀	—	2	2	no	—
690	#677	—	2	2	no	—
691	#677	—	2	2	no	—
692	#677	—	2	2	no	—
693	#677	—	2	2	no	—
694	#562	—	10	1	no	—
695	#562	—	10	1	no	—
696	#559	—	5	1	no	—
697	#559	—	5	1	no	—
698	#559	—	5	1	no	—
699	#557	—	5	1	no	—
700	#557	—	5	1	no	—
701	#557	—	5	1	no	—
702	#557	—	5	1	no	—
703	#557	—	5	1	no	—
704	#554	—	5	1	no	—
705	#554	—	5	1	no	—
706	#554	—	5	1	no	—
707	#554	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	10	1	no	—
711	#554	—	10	1	no	—
712	#554	—	10	1	no	—
713	#554	—	10	1	no	—
714	#550	—	5	1	no	—
715	D₄×Q₈	—	5	1	no	—
716	#548	—	10	1	no	—
717	#547	—	10	1	no	—
718	#544	—	5	1	no	—
719	#544	—	5	1	no	—
720	#544	—	10	1	no	—
721	#544	—	10	1	no	—
722	#542	—	5	1	no	—
723	#542	—	5	1	no	—
724	#542	—	10	1	no	—
725	#540	—	5	1	no	—
726	#540	—	5	1	no	—
727	#539	—	10	1	no	—
728	#539	—	10	1	no	—
729	#536	—	10	1	no	—
730	#533	—	10	1	no	—
731	#533	C₂×D₅	1	1	yes	characteristic
732	#532	—	5	1	no	—
733	#529	—	5	1	no	—
734	C₂×#125	—	5	1	no	—
735	C₂×#125	—	10	1	no	—
736	#520	—	5	1	no	—
737	#520	—	5	1	no	—
738	C₄×#41	—	5	1	no	—
739	#501	—	5	1	no	—
740	#501	—	5	1	no	—
741	#501	—	5	1	no	—
742	#501	—	5	1	no	—
743	#501	—	5	1	no	—
744	#501	—	5	1	no	—
745	#500	—	5	1	no	—
746	#499	—	5	1	no	—
747	#499	—	5	1	no	—
748	#499	—	5	1	no	—
749	#499	—	5	1	no	—
750	#498	—	5	1	no	—
751	#490	—	5	1	no	—
752	#490	—	5	1	no	—
753	#490	—	5	1	no	—
754	#490	—	5	1	no	—
755	#489	—	5	1	no	—
756	#489	—	5	1	no	—
757	#488	—	5	1	no	—
758	#488	—	5	1	no	—
759	#488	—	5	1	no	—
760	#488	—	5	1	no	—
761	#486	—	5	1	no	—
762	#486	—	5	1	no	—
763	#485	—	5	1	no	—
764	#484	—	5	1	no	—
765	#483	—	5	1	no	—
766	#482	—	5	1	no	—
767	#482	—	5	1	no	—
768	#482	—	5	1	no	—
769	#481	—	5	1	no	—
770	#481	—	5	1	no	—
771	#481	—	5	1	no	—
772	#480	—	5	1	no	—
773	#480	—	5	1	no	—
774	#480	—	5	1	no	—
775	#479	—	5	1	no	—
776	#479	—	5	1	no	—
777	#479	—	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	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#477	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#463	—	5	1	no	—
815	#463	—	5	1	no	—
816	#463	—	5	1	no	—
817	#460	—	5	1	no	—
818	#460	—	5	1	no	—
819	#460	—	5	1	no	—
820	#459	—	5	1	no	—
821	#459	—	5	1	no	—
822	#459	—	5	1	no	—
823	#452	—	5	1	no	—
824	#449	—	5	1	no	—
825	#449	—	5	1	no	—
826	#449	—	5	1	no	—
827	#446	C₂×D₅	1	1	yes	characteristic
828	#446	C₂×D₅	1	1	yes	characteristic
829	#446	C₂×D₅	1	1	yes	characteristic
830	#446	C₂×D₅	1	1	yes	characteristic
831	#446	C₂×D₅	1	1	yes	characteristic
832	#446	C₂×D₅	1	1	yes	characteristic
833	C₈×Q₈	C₂×D₅	1	1	yes	characteristic
834	C₈×Q₈	C₂×D₅	1	1	yes	characteristic
835	#442	—	5	1	no	—
836	#442	—	5	1	no	—
837	#442	—	5	1	no	—
838	#442	—	5	1	no	—
839	#441	—	5	1	no	—
840	#441	—	5	1	no	—
841	#440	—	5	1	no	—
842	#440	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	C₄×Q₁₆	—	5	1	no	—
848	C₄×SD₁₆	—	5	1	no	—
849	C₄×SD₁₆	—	5	1	no	—
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×D₈	—	5	1	no	—
855	C₄×D₈	—	5	1	no	—
856	C₄×D₈	—	5	1	no	—
857	C₄×D₈	—	5	1	no	—
858	C₄×D₈	—	5	1	no	—
859	#433	C₂×D₅	1	1	yes	characteristic
860	#433	C₂×D₅	1	1	yes	characteristic
861	#433	C₂×D₅	1	1	yes	characteristic
862	#433	C₂×D₅	1	1	yes	characteristic
863	#432	C₂×D₅	1	1	yes	characteristic
864	#431	C₂×D₅	1	1	yes	characteristic
865	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
866	C₂²×D₅	—	2	1	no	—
867	C₂²×D₅	—	2	1	no	—
868	C₂²×D₅	—	2	1	no	—
869	C₂²×D₅	—	2	1	no	—
870	C₅×Q₈	—	4	1	no	—
871	C₅×Q₈	—	4	1	no	—
872	C₅×Q₈	—	4	1	no	—
873	C₅×Q₈	—	4	1	no	—
874	C₂×C₄×C₅	—	2	1	no	—
875	C₂×C₄×C₅	—	2	1	no	—
876	C₂×C₄×C₅	—	4	1	no	—
877	C₂×C₄×C₅	—	4	1	no	—
878	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
879	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
880	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
881	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
882	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
883	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
884	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
885	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
886	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
887	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
888	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
889	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
890	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
891	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
892	C₂²⋊D₅	—	2	4	no	—
893	C₂²⋊D₅	—	8	1	no	—
894	C₂²⋊D₅	—	8	1	no	—
895	C₂²⋊D₅	—	8	1	no	—
896	C₂×Dic₅	—	2	1	no	—
897	C₂×Dic₅	—	2	1	no	—
898	C₂×Dic₅	—	2	1	no	—
899	C₂×Dic₅	—	2	1	no	—
900	C₂×Dic₅	—	2	1	no	—
901	C₂×Dic₅	—	2	1	no	—
902	C₂×Dic₅	—	2	1	no	—
903	C₂×Dic₅	—	2	1	no	—
904	C₂×Dic₅	—	2	1	no	—
905	C₂×Dic₅	—	2	1	no	—
906	C₂×Dic₅	—	2	1	no	—
907	C₂×Dic₅	—	2	1	no	—
908	C₂×Dic₅	—	8	1	no	—
909	C₂×Dic₅	—	8	1	no	—
910	D₂₀	—	2	1	no	—
911	D₂₀	—	2	1	no	—
912	D₂₀	—	2	1	no	—
913	D₂₀	—	2	1	no	—
914	D₂₀	—	2	1	no	—
915	D₂₀	—	2	1	no	—
916	D₂₀	—	2	1	no	—
917	D₂₀	—	4	2	no	—
918	D₂₀	—	8	1	no	—
919	D₂₀	—	8	1	no	—
920	D₂₀	—	8	1	no	—
921	D₂₀	—	8	1	no	—
922	D₂₀	—	8	1	no	—
923	D₂₀	2₋¹⁺⁴	1	2	yes	—
924	C₄×D₅	—	2	4	no	—
925	C₄×D₅	—	4	2	no	—
926	C₄×D₅	—	8	1	no	—
927	C₄×D₅	—	8	1	no	—
928	C₄×D₅	—	8	1	no	—
929	C₄×D₅	—	8	1	no	—
930	C₄×D₅	—	8	1	no	—
931	C₄×D₅	—	8	1	no	—
932	C₄×D₅	—	8	1	no	—
933	C₄×D₅	—	8	1	no	—
934	C₄×D₅	—	8	1	no	—
935	C₄×D₅	—	8	1	no	—
936	C₄×D₅	—	8	1	no	—
937	C₄×D₅	—	8	1	no	—
938	C₄×D₅	—	8	1	no	—
939	C₄×D₅	—	8	1	no	—
940	Dic₁₀	—	2	1	no	—
941	Dic₁₀	—	2	1	no	—
942	Dic₁₀	—	2	1	no	—
943	Dic₁₀	—	4	2	no	—
944	Dic₁₀	—	8	1	no	—
945	Dic₁₀	—	8	1	no	—
946	Dic₁₀	—	8	1	no	—
947	Dic₁₀	—	8	1	no	—
948	Dic₁₀	—	8	1	no	—
949	Dic₁₀	—	8	1	no	—
950	Dic₁₀	2₋¹⁺⁴	1	2	yes	—
951	C₅×C₈	—	2	1	no	—
952	C₅×C₈	—	2	1	no	—
953	C₅×C₈	—	2	1	no	—
954	C₅×C₈	—	2	1	no	—
955	C₅×C₈	—	2	1	no	—
956	C₅×C₈	—	2	1	no	—
957	C₅×C₈	—	2	1	no	—
958	C₅×C₈	—	2	1	no	—
959	C₂×#41	—	5	1	no	—
960	C₂×#41	—	10	1	no	—
961	C₂×#41	—	10	1	no	—
962	C₂²×Q₈	—	10	1	no	—
963	C₂×Q₁₆	—	5	1	no	—
964	C₂×SD₁₆	—	5	1	no	—
965	C₂×SD₁₆	—	5	1	no	—
966	C₂×SD₁₆	—	5	1	no	—
967	C₂×SD₁₆	—	5	1	no	—
968	C₂×D₈	—	5	1	no	—
969	C₂×D₈	—	5	1	no	—
970	C₂×D₈	—	5	1	no	—
971	C₄⋊Q₈	—	5	1	no	—
972	C₄⋊Q₈	—	5	1	no	—
973	C₄⋊Q₈	—	5	1	no	—
974	C₄⋊Q₈	—	5	1	no	—
975	C₄⋊Q₈	—	5	1	no	—
976	C₄⋊Q₈	—	5	1	no	—
977	C₄⋊Q₈	—	5	1	no	—
978	C₄⋊Q₈	—	10	1	no	—
979	C₄⋊Q₈	—	10	1	no	—
980	C₄⋊Q₈	—	10	1	no	—
981	C₄⋊Q₈	—	10	1	no	—
982	C₄⋊Q₈	—	10	1	no	—
983	C₄⋊Q₈	—	10	1	no	—
984	C₄⋊Q₈	—	10	1	no	—
985	C₄⋊Q₈	D₂₀	1	1	yes	characteristic
986	C₄⋊Q₈	D₂₀	1	1	yes	characteristic
987	#127	—	5	1	no	—
988	#127	—	5	1	no	—
989	#127	—	5	1	no	—
990	#126	—	10	1	no	—
991	#126	—	10	1	no	—
992	#126	—	10	1	no	—
993	#125	—	5	1	no	—
994	#125	—	5	1	no	—
995	#125	—	5	1	no	—
996	#125	—	5	1	no	—
997	#125	—	5	1	no	—
998	#125	—	5	1	no	—
999	#125	—	5	1	no	—
1000	#125	—	5	1	no	—
1001	#125	—	5	1	no	—
1002	#125	—	5	1	no	—
1003	#125	—	5	1	no	—
1004	#125	—	10	1	no	—
1005	#125	—	10	1	no	—
1006	#125	—	10	1	no	—
1007	#125	—	10	1	no	—
1008	#125	—	10	1	no	—
1009	#125	—	10	1	no	—
1010	#125	—	10	1	no	—
1011	#125	—	10	1	no	—
1012	#125	—	10	1	no	—
1013	#125	—	10	1	no	—
1014	#125	—	10	1	no	—
1015	#125	—	10	1	no	—
1016	#125	—	10	1	no	—
1017	#125	—	10	1	no	—
1018	#125	D₂₀	1	1	yes	characteristic
1019	#125	D₂₀	1	1	yes	characteristic
1020	#124	—	5	1	no	—
1021	#124	—	5	1	no	—
1022	#124	—	5	1	no	—
1023	#124	—	10	1	no	—
1024	#124	—	10	1	no	—
1025	#124	—	10	1	no	—
1026	#124	—	10	1	no	—
1027	#124	—	10	1	no	—
1028	#124	—	10	1	no	—
1029	#123	—	10	1	no	—
1030	#123	—	10	1	no	—
1031	#123	—	10	1	no	—
1032	#123	—	10	1	no	—
1033	#123	—	10	1	no	—
1034	#123	—	10	1	no	—
1035	#123	—	10	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	C₂²⋊Q₈	—	5	1	no	—
1043	C₂²⋊Q₈	—	10	1	no	—
1044	C₂²⋊Q₈	—	10	1	no	—
1045	C₂²⋊Q₈	—	10	1	no	—
1046	C₂²⋊Q₈	—	10	1	no	—
1047	C₂²⋊Q₈	—	10	1	no	—
1048	C₂²⋊Q₈	—	10	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	D₂₀	1	1	yes	characteristic
1071	C₂²⋊Q₈	D₂₀	1	1	yes	characteristic
1072	C₂²⋊Q₈	D₂₀	1	1	yes	characteristic
1073	C₂²⋊Q₈	D₂₀	1	1	yes	characteristic
1074	#121	—	5	1	no	—
1075	#121	—	5	1	no	—
1076	#121	—	5	1	no	—
1077	#121	—	10	1	no	—
1078	#121	—	10	1	no	—
1079	#121	—	10	1	no	—
1080	#121	—	10	1	no	—
1081	#121	—	10	1	no	—
1082	#121	—	10	1	no	—
1083	#121	—	10	1	no	—
1084	#121	—	10	1	no	—
1085	C₄×Q₈	—	5	1	no	—
1086	C₄×Q₈	—	5	1	no	—
1087	C₄×Q₈	—	5	1	no	—
1088	C₄×Q₈	—	5	1	no	—
1089	C₄×Q₈	—	5	1	no	—
1090	C₄×Q₈	—	5	1	no	—
1091	C₄×Q₈	—	5	1	no	—
1092	C₄×Q₈	—	5	1	no	—
1093	C₄×Q₈	—	5	1	no	—
1094	C₄×Q₈	—	10	1	no	—
1095	C₄×Q₈	—	10	1	no	—
1096	C₄×Q₈	—	10	1	no	—
1097	C₄×Q₈	—	10	1	no	—
1098	C₄×Q₈	—	10	1	no	—
1099	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1102	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1103	C₄×D₄	—	5	1	no	—
1104	C₄×D₄	—	5	1	no	—
1105	C₄×D₄	—	5	1	no	—
1106	C₄×D₄	—	5	1	no	—
1107	C₄×D₄	—	5	1	no	—
1108	C₄×D₄	—	5	1	no	—
1109	C₄×D₄	—	5	1	no	—
1110	C₄×D₄	—	5	1	no	—
1111	C₄×D₄	—	5	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	—	10	1	no	—
1119	C₄×D₄	—	10	1	no	—
1120	C₄×D₄	—	10	1	no	—
1121	C₄×D₄	—	10	1	no	—
1122	C₄×D₄	—	10	1	no	—
1123	C₄×D₄	—	10	1	no	—
1124	C₄×D₄	—	10	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	#117	—	5	1	no	—
1130	#117	—	10	1	no	—
1131	#117	—	10	1	no	—
1132	#117	—	10	1	no	—
1133	#117	—	10	1	no	—
1134	#117	C₂²×D₅	1	1	yes	characteristic
1135	#117	C₂²×D₅	1	1	yes	characteristic
1136	C₂×C₄⋊C₄	—	5	1	no	—
1137	C₂×C₄⋊C₄	—	5	1	no	—
1138	C₂×C₄⋊C₄	—	10	1	no	—
1139	C₂×C₄⋊C₄	—	10	1	no	—
1140	C₂×C₄⋊C₄	—	10	1	no	—
1141	C₂×C₄⋊C₄	—	10	1	no	—
1142	C₂×C₄⋊C₄	—	10	1	no	—
1143	C₂×C₄⋊C₄	—	10	1	no	—
1144	C₂×C₄⋊C₄	—	10	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×C₄²	—	10	1	no	—
1149	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1150	#107	—	5	1	no	—
1151	#107	—	5	1	no	—
1152	#107	—	5	1	no	—
1153	#107	—	5	1	no	—
1154	#107	—	5	1	no	—
1155	#107	—	5	1	no	—
1156	#107	—	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	#106	—	5	1	no	—
1163	#106	—	5	1	no	—
1164	#106	—	5	1	no	—
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	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1175	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1176	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1177	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1178	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1179	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1180	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1181	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1182	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1183	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1184	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1185	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1186	#103	—	5	1	no	—
1187	#103	—	5	1	no	—
1188	#103	—	5	1	no	—
1189	#103	—	5	1	no	—
1190	#103	—	5	1	no	—
1191	#103	—	5	1	no	—
1192	#103	—	5	1	no	—
1193	#103	—	5	1	no	—
1194	#103	—	5	1	no	—
1195	#103	—	5	1	no	—
1196	#102	—	5	1	no	—
1197	#102	—	5	1	no	—
1198	#102	—	5	1	no	—
1199	#102	—	5	1	no	—
1200	#102	—	5	1	no	—
1201	#102	—	5	1	no	—
1202	#102	—	5	1	no	—
1203	#102	—	5	1	no	—
1204	#102	—	5	1	no	—
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	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1219	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1220	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1221	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1222	#97	C₂²×D₅	1	1	yes	characteristic
1223	#97	C₂²×D₅	1	1	yes	characteristic
1224	#97	C₂²×D₅	1	1	yes	characteristic
1225	#97	C₂²×D₅	1	1	yes	characteristic
1226	#97	C₂²×D₅	1	1	yes	characteristic
1227	#97	C₂²×D₅	1	1	yes	characteristic
1228	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1229	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1230	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1231	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1232	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1233	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1234	C₂²×C₅	—	2	1	no	—
1235	C₂²×C₅	—	2	1	no	—
1236	C₂²×C₅	—	2	1	no	—
1237	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1238	C₂×D₅	—	2	2	no	—
1239	C₂×D₅	—	4	1	no	—
1240	C₂×D₅	—	4	1	no	—
1241	C₂×D₅	—	4	1	no	—
1242	C₂×D₅	—	4	1	no	—
1243	C₂×D₅	—	4	1	no	—
1244	C₂×D₅	—	4	1	no	—
1245	C₂×D₅	—	4	1	no	—
1246	C₂×D₅	—	4	1	no	—
1247	C₂×D₅	—	4	1	no	—
1248	C₂×D₅	—	4	1	no	—
1249	C₂×D₅	—	4	1	no	—
1250	C₄×C₅	—	2	1	no	—
1251	C₄×C₅	—	2	1	no	—
1252	C₄×C₅	—	2	1	no	—
1253	C₄×C₅	—	2	1	no	—
1254	C₄×C₅	—	2	1	no	—
1255	C₄×C₅	—	2	1	no	—
1256	C₄×C₅	—	2	1	no	—
1257	C₄×C₅	—	2	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1264	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1265	Dic₅	—	2	2	no	—
1266	Dic₅	—	4	1	no	—
1267	Dic₅	—	4	1	no	—
1268	Dic₅	—	4	1	no	—
1269	Dic₅	—	4	1	no	—
1270	Dic₅	—	4	1	no	—
1271	Dic₅	—	4	1	no	—
1272	Dic₅	—	4	1	no	—
1273	Dic₅	—	4	1	no	—
1274	Dic₅	—	4	1	no	—
1275	Dic₅	—	4	1	no	—
1276	Dic₅	—	4	1	no	—
1277	#41	—	10	2	no	—
1278	#41	—	10	2	no	—
1279	#41	—	40	2	no	—
1280	#41	—	40	2	no	—
1281	C₂×Q₈	—	5	1	no	—
1282	C₂×Q₈	—	5	1	no	—
1283	C₂×Q₈	—	10	1	no	—
1284	C₂×Q₈	—	10	1	no	—
1285	C₂×Q₈	—	10	1	no	—
1286	C₂×Q₈	—	10	1	no	—
1287	C₂×Q₈	—	10	1	no	—
1288	C₂×Q₈	—	10	1	no	—
1289	C₂×Q₈	—	10	1	no	—
1290	C₂×Q₈	—	40	2	no	—
1291	C₂×Q₈	C₂×D₂₀	1	1	yes	characteristic
1292	C₂×Q₈	C₂×D₂₀	1	1	yes	characteristic
1293	C₂×Q₈	C₂×D₂₀	1	1	yes	characteristic
1294	C₂×Q₈	C₂×D₂₀	1	1	yes	characteristic
1295	C₂×D₄	—	5	1	no	—
1296	C₂×D₄	—	5	1	no	—
1297	C₂×D₄	—	5	1	no	—
1298	C₂×D₄	—	5	1	no	—
1299	C₂×D₄	—	10	1	no	—
1300	C₂×D₄	—	10	1	no	—
1301	C₂×D₄	—	10	1	no	—
1302	C₂×D₄	—	10	1	no	—
1303	C₂×D₄	—	10	1	no	—
1304	C₂×D₄	—	10	1	no	—
1305	C₂×D₄	—	10	1	no	—
1306	C₂×D₄	—	10	1	no	—
1307	C₂×D₄	—	10	1	no	—
1308	C₂×D₄	—	10	1	no	—
1309	C₂²×C₄	—	10	1	no	—
1310	C₂²×C₄	—	10	1	no	—
1311	C₂²×C₄	—	10	1	no	—
1312	C₂²×C₄	—	10	1	no	—
1313	C₂²×C₄	—	10	1	no	—
1314	C₂²×C₄	—	10	1	no	—
1315	C₂²×C₄	—	10	1	no	—
1316	C₂²×C₄	—	10	1	no	—
1317	C₂²×C₄	—	10	1	no	—
1318	C₂²×C₄	—	10	1	no	—
1319	C₂²×C₄	—	10	1	no	—
1320	C₂²×C₄	—	10	1	no	—
1321	C₂²×C₄	—	10	1	no	—
1322	C₂²×C₄	—	10	1	no	—
1323	C₂²×C₄	—	10	1	no	—
1324	C₂²×C₄	—	10	1	no	—
1325	C₂²×C₄	—	10	1	no	—
1326	C₂²×C₄	—	10	1	no	—
1327	C₂²×C₄	C₂×D₂₀	1	1	yes	characteristic
1328	C₂²×C₄	C₂×D₂₀	1	1	yes	characteristic
1329	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1330	Q₁₆	—	10	2	no	—
1331	SD₁₆	—	10	2	no	—
1332	SD₁₆	—	10	2	no	—
1333	SD₁₆	—	10	2	no	—
1334	SD₁₆	—	10	2	no	—
1335	D₈	—	10	2	no	—
1336	D₈	—	10	2	no	—
1337	D₈	—	10	2	no	—
1338	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1339	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1340	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1341	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1342	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1343	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1344	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1345	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1346	C₄⋊C₄	—	5	1	no	—
1347	C₄⋊C₄	—	5	1	no	—
1348	C₄⋊C₄	—	5	1	no	—
1349	C₄⋊C₄	—	5	1	no	—
1350	C₄⋊C₄	—	5	1	no	—
1351	C₄⋊C₄	—	5	1	no	—
1352	C₄⋊C₄	—	5	1	no	—
1353	C₄⋊C₄	—	5	1	no	—
1354	C₄⋊C₄	—	5	1	no	—
1355	C₄⋊C₄	—	5	1	no	—
1356	C₄⋊C₄	—	10	1	no	—
1357	C₄⋊C₄	—	10	1	no	—
1358	C₄⋊C₄	—	10	1	no	—
1359	C₄⋊C₄	—	10	1	no	—
1360	C₄⋊C₄	—	10	1	no	—
1361	C₄⋊C₄	—	10	1	no	—
1362	C₄⋊C₄	—	10	1	no	—
1363	C₄⋊C₄	—	10	1	no	—
1364	C₄⋊C₄	—	10	1	no	—
1365	C₄⋊C₄	—	10	1	no	—
1366	C₄⋊C₄	—	10	1	no	—
1367	C₄⋊C₄	—	10	1	no	—
1368	C₄⋊C₄	—	10	1	no	—
1369	C₄⋊C₄	—	10	1	no	—
1370	C₄⋊C₄	—	10	1	no	—
1371	C₄⋊C₄	—	10	1	no	—
1372	C₄⋊C₄	—	10	1	no	—
1373	C₄⋊C₄	—	10	1	no	—
1374	C₄⋊C₄	—	10	1	no	—
1375	C₄⋊C₄	—	10	1	no	—
1376	C₄⋊C₄	—	10	1	no	—
1377	C₄⋊C₄	—	10	1	no	—
1378	C₄⋊C₄	—	10	1	no	—
1379	C₄⋊C₄	—	10	1	no	—
1380	C₄⋊C₄	—	10	1	no	—
1381	C₄⋊C₄	—	10	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	C₂×D₂₀	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1412	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1413	C₂²⋊C₄	—	10	1	no	—
1414	C₂²⋊C₄	—	10	1	no	—
1415	C₂²⋊C₄	—	10	1	no	—
1416	C₂²⋊C₄	—	10	1	no	—
1417	C₂²⋊C₄	—	10	1	no	—
1418	C₂²⋊C₄	—	10	1	no	—
1419	C₂²⋊C₄	—	10	1	no	—
1420	C₂²⋊C₄	—	10	1	no	—
1421	C₂²⋊C₄	—	10	1	no	—
1422	C₂²⋊C₄	—	10	1	no	—
1423	C₂²⋊C₄	—	10	1	no	—
1424	C₂²⋊C₄	—	10	1	no	—
1425	C₂²⋊C₄	—	10	1	no	—
1426	C₂²⋊C₄	—	10	1	no	—
1427	C₂²⋊C₄	—	10	1	no	—
1428	C₂²⋊C₄	—	10	1	no	—
1429	C₂²⋊C₄	—	10	1	no	—
1430	C₂²⋊C₄	—	10	1	no	—
1431	C₂²⋊C₄	—	10	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	C₂×D₂₀	1	1	yes	characteristic
1440	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1441	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1442	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
1443	C₄²	—	10	1	no	—
1444	C₄²	—	10	1	no	—
1445	C₄²	—	10	1	no	—
1446	C₄²	—	10	1	no	—
1447	C₄²	—	10	1	no	—
1448	C₄²	—	10	1	no	—
1449	C₄²	—	10	1	no	—
1450	C₄²	—	10	1	no	—
1451	C₄²	—	10	1	no	—
1452	C₄²	—	10	1	no	—
1453	C₄²	C₂×D₂₀	1	1	yes	characteristic
1454	C₄²	C₂×D₂₀	1	1	yes	characteristic
1455	C₄²	C₂³×D₅	1	1	yes	characteristic
1456	C₄²	C₂³×D₅	1	1	yes	characteristic
1457	C₄²	C₂³×D₅	1	1	yes	characteristic
1458	C₄²	C₂³×D₅	1	1	yes	characteristic
1459	C₄²	C₂³×D₅	1	1	yes	characteristic
1460	C₄²	C₂³×D₅	1	1	yes	characteristic
1461	C₂×C₅	—	4	1	no	—
1462	C₂×C₅	#3486	1	1	yes	characteristic
1463	C₂×C₅	#3584	1	1	yes	characteristic
1464	C₂×C₅	#3585	1	1	yes	characteristic
1465	D₅	—	4	2	no	—
1466	D₅	—	8	1	no	—
1467	D₅	—	8	1	no	—
1468	D₅	—	8	1	no	—
1469	C₂³	—	10	1	no	—
1470	C₂³	—	10	1	no	—
1471	C₂³	—	10	1	no	—
1472	C₂³	—	10	1	no	—
1473	C₂³	C₂²×D₂₀	1	1	yes	characteristic
1474	Q₈	—	4	1	no	—
1475	Q₈	—	4	1	no	—
1476	Q₈	—	4	1	no	—
1477	Q₈	—	4	1	no	—
1478	Q₈	—	5	2	no	—
1479	Q₈	—	10	1	no	—
1480	Q₈	—	10	1	no	—
1481	Q₈	—	10	1	no	—
1482	Q₈	—	20	2	no	—
1483	Q₈	—	40	1	no	—
1484	Q₈	—	40	1	no	—
1485	Q₈	—	40	1	no	—
1486	Q₈	—	40	1	no	—
1487	Q₈	—	40	1	no	—
1488	Q₈	—	40	1	no	—
1489	D₄	—	5	2	no	—
1490	D₄	—	10	4	no	—
1491	D₄	—	10	1	no	—
1492	D₄	—	10	1	no	—
1493	D₄	—	10	1	no	—
1494	D₄	—	10	1	no	—
1495	D₄	—	10	1	no	—
1496	D₄	—	10	1	no	—
1497	D₄	—	10	1	no	—
1498	D₄	—	20	2	no	—
1499	D₄	—	40	1	no	—
1500	D₄	—	40	1	no	—
1501	D₄	—	40	1	no	—
1502	D₄	—	40	1	no	—
1503	D₄	—	40	1	no	—
1504	D₄	—	40	1	no	—
1505	D₄	—	40	1	no	—
1506	D₄	—	40	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	4	1	no	—
1510	C₂×C₄	—	4	1	no	—
1511	C₂×C₄	—	10	4	no	—
1512	C₂×C₄	—	10	1	no	—
1513	C₂×C₄	—	10	1	no	—
1514	C₂×C₄	—	10	1	no	—
1515	C₂×C₄	—	10	1	no	—
1516	C₂×C₄	—	10	1	no	—
1517	C₂×C₄	—	10	1	no	—
1518	C₂×C₄	—	10	1	no	—
1519	C₂×C₄	—	10	1	no	—
1520	C₂×C₄	—	10	1	no	—
1521	C₂×C₄	—	10	1	no	—
1522	C₂×C₄	—	10	1	no	—
1523	C₂×C₄	—	10	1	no	—
1524	C₂×C₄	—	20	2	no	—
1525	C₂×C₄	—	40	1	no	—
1526	C₂×C₄	—	40	1	no	—
1527	C₂×C₄	—	40	1	no	—
1528	C₂×C₄	—	40	1	no	—
1529	C₂×C₄	—	40	1	no	—
1530	C₂×C₄	—	40	1	no	—
1531	C₂×C₄	—	40	1	no	—
1532	C₂×C₄	—	40	1	no	—
1533	C₂×C₄	—	40	1	no	—
1534	C₂×C₄	—	40	1	no	—
1535	C₂×C₄	—	40	1	no	—
1536	C₂×C₄	—	40	1	no	—
1537	C₂×C₄	—	40	1	no	—
1538	C₂×C₄	—	40	1	no	—
1539	C₂×C₄	—	40	1	no	—
1540	C₂×C₄	—	40	1	no	—
1541	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1542	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1543	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1544	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1545	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1546	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1547	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1548	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1549	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1550	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1551	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1552	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1553	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1554	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1555	C₈	—	2	1	no	—
1556	C₈	—	2	1	no	—
1557	C₈	—	2	1	no	—
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	2	1	no	—
1561	C₈	—	2	1	no	—
1562	C₈	—	2	1	no	—
1563	C₅	#61861	1	1	yes	characteristic, complemented, Sylow
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	10	2	no	—
1568	C₂²	—	20	1	no	—
1569	C₂²	—	20	1	no	—
1570	C₂²	—	20	1	no	—
1571	C₂²	—	20	1	no	—
1572	C₂²	—	20	1	no	—
1573	C₂²	—	20	1	no	—
1574	C₂²	—	20	1	no	—
1575	C₂²	—	20	1	no	—
1576	C₂²	—	20	1	no	—
1577	C₂²	—	20	1	no	—
1578	C₂²	—	20	1	no	—
1579	C₂²	C₂³×D₂₀	1	1	yes	characteristic
1580	C₄	—	2	1	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	10	2	no	—
1594	C₄	—	20	1	no	—
1595	C₄	—	20	1	no	—
1596	C₄	—	20	1	no	—
1597	C₄	—	20	1	no	—
1598	C₄	—	20	1	no	—
1599	C₄	—	20	1	no	—
1600	C₄	—	20	1	no	—
1601	C₄	—	20	1	no	—
1602	C₄	—	20	1	no	—
1603	C₄	—	20	1	no	—
1604	C₄	—	20	1	no	—
1605	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1606	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1607	C₂	—	4	1	no	—
1608	C₂	—	20	2	no	—
1609	C₂	—	40	1	no	—
1610	C₂	—	40	1	no	—
1611	C₂	—	40	1	no	—
1612	C₂	#10617782	1	1	yes	characteristic
1613	C₂	#10619064	1	1	yes	characteristic
1614	C₂	#10619068	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₂₀
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#2985	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#2985	D₅
hypocenter	C₅	#61861
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #533 ◁ #2985

Complements

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

N	H ≅ G/N	type
1. #10618190	C₂	semidirect
2. #10618183	C₂	semidirect
3. C₅×#2985	C₂	semidirect
4. #10611718	C₂	semidirect
5. #10611713	C₂	semidirect
6. #10611713	C₂	semidirect
7. #10611711	C₂	semidirect
8. #10611710	C₂	semidirect
9. #10611709	C₂	semidirect
10. #10611709	C₂	semidirect
11. #10611708	C₂	semidirect
12. #10611706	C₂	semidirect
13. #10611702	C₂	semidirect
14. #10611702	C₂	semidirect
15. #10611700	C₂	semidirect
16. #10611666	C₂	semidirect
17. #10611662	C₂	semidirect
18. #10611661	C₂	semidirect
19. #10611658	C₂	semidirect
20. #10611120	C₂	semidirect
21. #10611119	C₂	semidirect
22. #10611115	C₂	semidirect
23. #10611115	C₂	semidirect
24. #10611096	C₂	semidirect
25. #10611095	C₂	semidirect
26. #10611093	C₂	semidirect
27. #10611093	C₂	semidirect
28. #10611076	C₂	semidirect
29. #10611049	C₂	semidirect
30. #10611032	C₂	semidirect
31. #10611005	C₂	semidirect
509. #2985	D₅	semidirect
1563. C₅	#61861	semidirect

Maximal subgroups

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

subgroup	index
#10618190	2
#10618183	2
C₅×#2985	2
#10611718	2
#10611713	2
#10611711	2
#10611710	2
#10611709	2
#10611708	2
#10611706	2
#10611702	2
#10611700	2
#10611666	2
#10611662	2
#10611661	2
#10611658	2
#10611120	2
#10611119	2
#10611115	2
#10611096	2
#10611095	2
#10611093	2
#10611076	2
#10611049	2
#10611032	2
#10611005	2
#61861	5