Subgroups — #12974203

Order 1280.

1668 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618270	C₂	1	1	yes	maximal, characteristic
2	#10618244	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3201	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615159	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615139	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613234	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613230	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613194	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613187	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613151	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613147	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613090	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613086	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612629	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612619	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612529	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612516	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612481	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612476	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612377	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612370	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611953	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611953	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611948	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611947	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611910	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611908	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611766	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611764	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610412	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610380	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#537	C₂²	1	1	yes	characteristic
33	C₅×#536	C₂²	1	1	yes	characteristic
34	#66167	C₂²	1	1	yes	characteristic
35	#66166	C₂²	1	1	yes	characteristic
36	#66161	C₂²	1	1	yes	characteristic
37	#41×Dic₅	C₂²	1	1	yes	characteristic
38	#66159	C₂²	1	1	yes	characteristic
39	#66146	C₂²	1	1	yes	characteristic
40	C₂×#4090	C₂²	1	1	yes	characteristic
41	#66055	—	2	1	no	—
42	#66055	—	2	1	no	—
43	#66005	—	2	1	no	—
44	#66005	—	2	1	no	—
45	#65984	—	2	1	no	—
46	#65984	—	2	1	no	—
47	#65984	—	2	1	no	—
48	#65984	—	2	1	no	—
49	#65976	—	2	1	no	—
50	#65973	—	2	1	no	—
51	#65959	C₂²	1	1	yes	characteristic
52	#65959	C₂²	1	1	yes	characteristic
53	#65959	C₂²	1	1	yes	characteristic
54	#65959	C₂²	1	1	yes	characteristic
55	#65959	C₂²	1	1	yes	characteristic
56	#65959	C₂²	1	1	yes	characteristic
57	#65958	C₂²	1	1	yes	characteristic
58	#65958	C₂²	1	1	yes	characteristic
59	#65956	C₂²	1	1	yes	characteristic
60	#65956	C₂²	1	1	yes	characteristic
61	#65956	C₂²	1	1	yes	characteristic
62	#65956	C₂²	1	1	yes	characteristic
63	#65953	C₂²	1	1	yes	characteristic
64	#65953	C₂²	1	1	yes	characteristic
65	#65952	—	2	1	no	—
66	#65952	—	2	1	no	—
67	#65952	—	2	1	no	—
68	#65948	—	2	1	no	—
69	#65935	—	2	1	no	—
70	#65935	—	2	1	no	—
71	#65934	C₂²	1	1	yes	characteristic
72	#65934	C₂²	1	1	yes	characteristic
73	#65851	C₂²	1	1	yes	characteristic
74	#65850	C₂²	1	1	yes	characteristic
75	#65838	C₂²	1	1	yes	characteristic
76	C₂×#4036	C₂²	1	1	yes	characteristic
77	C₅×#485	C₂²	1	1	yes	characteristic
78	C₅×#484	C₂²	1	1	yes	characteristic
79	C₅×#483	C₂²	1	1	yes	characteristic
80	C₅×#482	C₂²	1	1	yes	characteristic
81	C₅×#470	C₂²	1	1	yes	characteristic
82	C₅×#468	C₂²	1	1	yes	characteristic
83	C₅×#467	C₂²	1	1	yes	characteristic
84	C₅×#465	C₂²	1	1	yes	characteristic
85	C₅×#452	C₂²	1	1	yes	characteristic
86	C₅×#452	C₂²	1	1	yes	characteristic
87	C₅×#451	C₂²	1	1	yes	characteristic
88	C₅×#448	C₂²	1	1	yes	characteristic
89	C₅×#408	C₂²	1	1	yes	characteristic
90	#65528	C₂²	1	1	yes	characteristic
91	#65528	C₂²	1	1	yes	characteristic
92	#65523	C₂²	1	1	yes	characteristic
93	#65517	C₂²	1	1	yes	characteristic
94	#65516	C₂²	1	1	yes	characteristic
95	#65479	C₂²	1	1	yes	characteristic
96	#65479	C₂²	1	1	yes	characteristic
97	#65473	C₂²	1	1	yes	characteristic
98	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
99	#65471	C₂²	1	1	yes	characteristic
100	#65471	C₂²	1	1	yes	characteristic
101	#65471	C₂²	1	1	yes	characteristic
102	#65471	C₂²	1	1	yes	characteristic
103	#65456	C₂²	1	1	yes	characteristic
104	#65456	C₂²	1	1	yes	characteristic
105	#65453	C₂²	1	1	yes	characteristic
106	#65452	C₂²	1	1	yes	characteristic
107	#65452	C₂²	1	1	yes	characteristic
108	#65451	C₂²	1	1	yes	characteristic
109	#65451	C₂²	1	1	yes	characteristic
110	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
111	#65426	C₂²	1	1	yes	characteristic
112	#65423	C₂²	1	1	yes	characteristic
113	#65408	C₂²	1	1	yes	characteristic
114	M₁₆×Dic₅	C₂²	1	1	yes	characteristic
115	#65405	C₂²	1	1	yes	characteristic
116	#65403	C₂²	1	1	yes	characteristic
117	#65391	C₂²	1	1	yes	characteristic
118	C₂×#3947	C₂²	1	1	yes	characteristic
119	#65341	C₂²	1	1	yes	characteristic
120	#65341	C₂²	1	1	yes	characteristic
121	#65340	C₂²	1	1	yes	characteristic
122	#65340	C₂²	1	1	yes	characteristic
123	#65339	C₂²	1	1	yes	characteristic
124	#65338	C₂²	1	1	yes	characteristic
125	#65337	C₂²	1	1	yes	characteristic
126	#65336	C₂²	1	1	yes	characteristic
127	#65336	C₂²	1	1	yes	characteristic
128	#65334	C₂²	1	1	yes	characteristic
129	#65333	C₂²	1	1	yes	characteristic
130	#65332	C₂²	1	1	yes	characteristic
131	#65331	C₂²	1	1	yes	characteristic
132	#65330	C₂²	1	1	yes	characteristic
133	#65329	C₂²	1	1	yes	characteristic
134	#65324	C₂²	1	1	yes	characteristic
135	#65292	C₂²	1	1	yes	characteristic
136	#65285	C₂²	1	1	yes	characteristic
137	#65260	C₂²	1	1	yes	characteristic
138	#65259	C₂²	1	1	yes	characteristic
139	#65180	C₂²	1	1	yes	characteristic
140	#65178	C₂²	1	1	yes	characteristic
141	#65166	C₂²	1	1	yes	characteristic
142	#65166	C₂²	1	1	yes	characteristic
143	#65166	C₂²	1	1	yes	characteristic
144	#65165	C₂²	1	1	yes	characteristic
145	#65165	C₂²	1	1	yes	characteristic
146	#65162	C₂²	1	1	yes	characteristic
147	#65160	C₂²	1	1	yes	characteristic
148	#65146	C₂²	1	1	yes	characteristic
149	#65146	C₂²	1	1	yes	characteristic
150	#65146	C₂²	1	1	yes	characteristic
151	#65145	C₂²	1	1	yes	characteristic
152	#65145	C₂²	1	1	yes	characteristic
153	#65142	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic
155	#65107	C₂²	1	1	yes	characteristic
156	#65107	C₂²	1	1	yes	characteristic
157	#65106	C₂²	1	1	yes	characteristic
158	#65088	C₂²	1	1	yes	characteristic
159	#65088	C₂²	1	1	yes	characteristic
160	#65088	C₂²	1	1	yes	characteristic
161	#65086	C₂²	1	1	yes	characteristic
162	#65086	C₂²	1	1	yes	characteristic
163	#65086	C₂²	1	1	yes	characteristic
164	#65086	C₂²	1	1	yes	characteristic
165	#65085	C₂²	1	1	yes	characteristic
166	#65085	C₂²	1	1	yes	characteristic
167	#65085	C₂²	1	1	yes	characteristic
168	#65084	C₂²	1	1	yes	characteristic
169	#65084	C₂²	1	1	yes	characteristic
170	#65082	C₂²	1	1	yes	characteristic
171	#65082	C₂²	1	1	yes	characteristic
172	#65082	C₂²	1	1	yes	characteristic
173	#65082	C₂²	1	1	yes	characteristic
174	#65079	C₂²	1	1	yes	characteristic
175	#65079	C₂²	1	1	yes	characteristic
176	#65078	C₂²	1	1	yes	characteristic
177	#65078	C₂²	1	1	yes	characteristic
178	#65077	C₂²	1	1	yes	characteristic
179	#65055	C₂²	1	1	yes	characteristic
180	#65054	C₂²	1	1	yes	characteristic
181	#65054	C₂²	1	1	yes	characteristic
182	#65052	C₂²	1	1	yes	characteristic
183	#65051	C₂²	1	1	yes	characteristic
184	#65051	C₂²	1	1	yes	characteristic
185	#65047	C₂²	1	1	yes	characteristic
186	#65046	C₂²	1	1	yes	characteristic
187	#65028	C₂²	1	1	yes	characteristic
188	#65027	C₂²	1	1	yes	characteristic
189	#65026	C₂²	1	1	yes	characteristic
190	#65022	C₂²	1	1	yes	characteristic
191	#65022	C₂²	1	1	yes	characteristic
192	#65012	C₂²	1	1	yes	characteristic
193	#65011	C₂²	1	1	yes	characteristic
194	#65010	C₂²	1	1	yes	characteristic
195	#65009	C₂²	1	1	yes	characteristic
196	#65009	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic
198	#65009	C₂²	1	1	yes	characteristic
199	#65008	C₂²	1	1	yes	characteristic
200	#65008	C₂²	1	1	yes	characteristic
201	#65008	C₂²	1	1	yes	characteristic
202	#65008	C₂²	1	1	yes	characteristic
203	#61020	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂×#709	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
209	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	—	2	1	no	—
216	C₅×#124	—	2	1	no	—
217	C₅×#123	—	2	1	no	—
218	C₅×#123	—	2	1	no	—
219	C₅×C₂²⋊Q₈	—	2	1	no	—
220	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×#121	—	2	1	no	—
227	C₅×#121	—	2	1	no	—
228	C₅×#121	—	2	1	no	—
229	C₅×#121	C₂³	1	1	yes	characteristic
230	C₅×#121	C₂³	1	1	yes	characteristic
231	C₅×#117	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	#4093	C₂³	1	1	yes	characteristic
234	#4092	—	2	1	no	—
235	Q₈×Dic₅	—	2	1	no	—
236	Q₈×Dic₅	—	2	1	no	—
237	Q₈×Dic₅	D₄	1	1	yes	characteristic
238	Q₈×Dic₅	D₄	1	1	yes	characteristic
239	Q₈×Dic₅	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	C₂³	1	1	yes	characteristic
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4090	—	2	1	no	—
247	#4090	—	2	1	no	—
248	#4090	C₂³	1	1	yes	characteristic
249	#4090	C₂³	1	1	yes	characteristic
250	#4090	C₂³	1	1	yes	characteristic
251	#4090	C₂³	1	1	yes	characteristic
252	#4090	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#688	C₂³	1	1	yes	characteristic
258	C₂×#688	C₂³	1	1	yes	characteristic
259	#4086	C₂³	1	1	yes	characteristic
260	#4085	—	2	1	no	—
261	#4085	—	2	1	no	—
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4085	—	2	1	no	—
265	#4085	—	2	1	no	—
266	#4084	—	2	1	no	—
267	#4084	—	2	1	no	—
268	#4084	—	2	1	no	—
269	#4082	—	2	1	no	—
270	#4082	C₂³	1	1	yes	characteristic
271	#4081	—	2	1	no	—
272	#4081	—	2	1	no	—
273	#4081	—	2	1	no	—
274	#4081	—	2	1	no	—
275	D₄×Dic₅	—	2	1	no	—
276	D₄×Dic₅	—	2	1	no	—
277	D₄×Dic₅	—	2	1	no	—
278	D₄×Dic₅	—	2	1	no	—
279	D₄×Dic₅	D₄	1	1	yes	characteristic
280	D₄×Dic₅	D₄	1	1	yes	characteristic
281	D₄×Dic₅	D₄	1	1	yes	characteristic
282	D₄×Dic₅	D₄	1	1	yes	characteristic
283	D₄×Dic₅	D₄	1	1	yes	characteristic
284	D₄×Dic₅	D₄	1	1	yes	characteristic
285	D₄×Dic₅	C₂³	1	1	yes	characteristic
286	D₄×Dic₅	C₂³	1	1	yes	characteristic
287	C₂×#687	C₂³	1	1	yes	characteristic
288	C₂×#687	C₂³	1	1	yes	characteristic
289	#4076	C₂³	1	1	yes	characteristic
290	#4076	C₂³	1	1	yes	characteristic
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	—	2	1	no	—
294	C₄×C₂²⋊D₅	—	2	1	no	—
295	#4072	—	2	1	no	—
296	#4072	—	2	1	no	—
297	#4072	—	2	1	no	—
298	#4072	C₂³	1	1	yes	characteristic
299	#4072	C₂³	1	1	yes	characteristic
300	#4072	C₂³	1	1	yes	characteristic
301	#4072	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊Dic₅	—	2	1	no	—
303	C₂×C₄⋊Dic₅	—	2	1	no	—
304	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
305	#4070	C₂³	1	1	yes	characteristic
306	#4070	C₂³	1	1	yes	characteristic
307	#4070	C₂³	1	1	yes	characteristic
308	#4070	C₂³	1	1	yes	characteristic
309	#4070	C₂³	1	1	yes	characteristic
310	#4070	C₂³	1	1	yes	characteristic
311	C₂×#683	—	2	1	no	—
312	C₂×#683	—	2	1	no	—
313	C₂×#683	—	2	1	no	—
314	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
317	C₂×#681	C₂³	1	1	yes	characteristic
318	C₂²×#168	C₂³	1	1	yes	characteristic
319	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
320	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
321	C₂×#677	C₂³	1	1	yes	characteristic
322	C₂×#677	C₂³	1	1	yes	characteristic
323	#4044	—	2	1	no	—
324	#4044	—	2	1	no	—
325	#4039	C₂³	1	1	yes	characteristic
326	#4039	C₂³	1	1	yes	characteristic
327	#4038	—	2	1	no	—
328	#4038	—	2	1	no	—
329	#4038	—	2	1	no	—
330	D₅×C₄⋊C₄	—	2	1	no	—
331	#4036	—	2	1	no	—
332	#4036	—	2	1	no	—
333	#4036	—	2	1	no	—
334	#4036	—	2	1	no	—
335	#4036	—	2	1	no	—
336	#4036	—	2	1	no	—
337	#4036	—	2	1	no	—
338	#4036	—	2	1	no	—
339	#4036	C₂³	1	1	yes	characteristic
340	#4036	C₂³	1	1	yes	characteristic
341	#4036	C₂³	1	1	yes	characteristic
342	#4036	C₂³	1	1	yes	characteristic
343	#4036	C₂³	1	1	yes	characteristic
344	#4036	C₂³	1	1	yes	characteristic
345	#4035	—	2	1	no	—
346	#4035	—	2	1	no	—
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4035	—	2	1	no	—
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4034	C₂³	1	1	yes	characteristic
356	#4034	C₂³	1	1	yes	characteristic
357	#4033	—	2	1	no	—
358	#4033	—	2	1	no	—
359	#4033	—	2	1	no	—
360	#4033	—	2	1	no	—
361	#4033	C₂³	1	1	yes	characteristic
362	#4033	C₂³	1	1	yes	characteristic
363	#4033	C₂³	1	1	yes	characteristic
364	#4033	C₂³	1	1	yes	characteristic
365	#4033	C₂³	1	1	yes	characteristic
366	#4033	C₂³	1	1	yes	characteristic
367	#4032	—	2	1	no	—
368	#4032	—	2	1	no	—
369	#4032	—	2	1	no	—
370	#4032	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4029	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4025	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	—	2	1	no	—
382	#4025	—	2	1	no	—
383	#4025	—	2	1	no	—
384	#4025	—	2	1	no	—
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	—	2	1	no	—
389	#4024	—	2	1	no	—
390	#4024	—	2	1	no	—
391	#4024	—	2	1	no	—
392	#4024	—	2	1	no	—
393	#4024	—	2	1	no	—
394	#4024	—	2	1	no	—
395	#4023	—	2	1	no	—
396	#4023	—	2	1	no	—
397	#4023	—	2	1	no	—
398	#4023	—	2	1	no	—
399	#4023	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4023	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#106	C₂³	1	1	yes	characteristic
410	C₅×#106	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	C₂²⋊#168	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3950	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3949	C₂³	1	1	yes	characteristic
440	#3949	C₂³	1	1	yes	characteristic
441	#3948	C₂³	1	1	yes	characteristic
442	#3948	C₂³	1	1	yes	characteristic
443	#3948	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3947	C₂³	1	1	yes	characteristic
448	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3947	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3512	—	5	1	no	—
480	#3509	—	5	1	no	—
481	#3261	—	5	1	no	—
482	#3261	—	5	1	no	—
483	#3260	—	5	1	no	—
484	#3260	—	5	1	no	—
485	#3240	—	5	1	no	—
486	#3240	—	5	1	no	—
487	#3236	—	5	1	no	—
488	#3236	—	5	1	no	—
489	#3218	—	5	1	no	—
490	#3218	—	5	1	no	—
491	#3216	—	5	1	no	—
492	#3216	—	5	1	no	—
493	#3201	—	5	1	no	—
494	#3201	—	5	1	no	—
495	#3201	—	5	1	no	—
496	#3201	D₅	1	1	yes	characteristic, complemented
497	#3181	—	5	1	no	—
498	#3181	—	5	1	no	—
499	#3172	—	5	1	no	—
500	#3172	—	5	1	no	—
501	#3127	—	5	1	no	—
502	#3127	—	5	1	no	—
503	#3126	—	5	1	no	—
504	#3126	—	5	1	no	—
505	#3120	—	5	1	no	—
506	#3120	—	5	1	no	—
507	#3120	—	5	1	no	—
508	#3120	—	5	1	no	—
509	#2923	—	5	1	no	—
510	C₅×#41	—	4	1	no	—
511	C₅×#41	—	4	1	no	—
512	C₅×#41	—	4	1	no	—
513	C₅×#41	—	4	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	—	4	1	no	—
516	C₂×C₅×Q₈	—	4	1	no	—
517	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
544	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
545	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
546	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
549	#709	—	4	1	no	—
550	#709	—	4	1	no	—
551	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×Dic₁₀	—	2	1	no	—
556	C₂×Dic₁₀	—	2	1	no	—
557	C₂×Dic₁₀	—	2	1	no	—
558	C₂×Dic₁₀	—	4	1	no	—
559	C₂×Dic₁₀	—	4	1	no	—
560	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
561	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
562	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
563	C₅×Q₁₆	—	4	1	no	—
564	C₅×Q₁₆	—	4	1	no	—
565	C₅×SD₁₆	—	4	1	no	—
566	C₅×SD₁₆	—	4	1	no	—
567	C₅×M₁₆	—	4	1	no	—
568	C₂×C₅×C₈	—	4	1	no	—
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
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	C₄²×C₅	—	2	1	no	—
594	C₂²⋊Dic₅	—	2	1	no	—
595	C₂²⋊Dic₅	—	2	1	no	—
596	C₂²⋊Dic₅	—	2	1	no	—
597	C₂²⋊Dic₅	—	2	1	no	—
598	C₂²⋊Dic₅	—	2	1	no	—
599	C₂²⋊Dic₅	—	2	1	no	—
600	C₂²⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
606	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
607	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
608	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
609	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
610	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
611	#689	—	4	1	no	—
612	#689	—	4	1	no	—
613	#689	—	4	1	no	—
614	#689	—	4	1	no	—
615	#688	—	4	1	no	—
616	#688	—	4	1	no	—
617	#687	—	4	1	no	—
618	#687	—	4	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	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	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	#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	#683	—	2	1	no	—
677	#683	—	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	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	#681	—	4	1	no	—
702	C₂×#168	—	4	1	no	—
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	Dic₂₀	—	4	1	no	—
708	Dic₂₀	—	4	1	no	—
709	#677	—	4	1	no	—
710	#677	—	4	1	no	—
711	#557	—	10	1	no	—
712	#557	—	10	1	no	—
713	#556	—	10	1	no	—
714	#556	—	10	1	no	—
715	#553	—	10	1	no	—
716	#553	—	10	1	no	—
717	#553	—	10	1	no	—
718	#553	—	10	1	no	—
719	#553	—	10	1	no	—
720	#553	—	10	1	no	—
721	#552	—	10	1	no	—
722	#552	—	10	1	no	—
723	#552	—	10	1	no	—
724	#552	—	10	1	no	—
725	#552	—	10	1	no	—
726	#552	—	10	1	no	—
727	#541	—	5	1	no	—
728	#541	—	5	1	no	—
729	#541	—	5	1	no	—
730	#541	—	5	1	no	—
731	#541	—	5	1	no	—
732	#541	—	5	1	no	—
733	#540	—	5	1	no	—
734	#540	—	5	1	no	—
735	#537	—	5	1	no	—
736	#537	C₂×D₅	1	1	yes	characteristic
737	#536	—	5	1	no	—
738	#536	C₂×D₅	1	1	yes	characteristic
739	#533	—	5	1	no	—
740	#533	—	5	1	no	—
741	#533	—	5	1	no	—
742	#533	—	5	1	no	—
743	#533	—	5	1	no	—
744	#532	—	5	1	no	—
745	C₂×C₄⋊Q₈	—	5	1	no	—
746	#529	—	5	1	no	—
747	#529	—	5	1	no	—
748	#529	—	5	1	no	—
749	#529	—	5	1	no	—
750	C₂×#125	—	5	1	no	—
751	#520	—	5	1	no	—
752	#520	—	5	1	no	—
753	#519	—	5	1	no	—
754	#519	—	5	1	no	—
755	C₄×#41	—	5	1	no	—
756	#501	—	5	1	no	—
757	#501	—	5	1	no	—
758	#501	—	5	1	no	—
759	#501	—	5	1	no	—
760	#497	—	5	1	no	—
761	#497	—	5	1	no	—
762	#497	—	5	1	no	—
763	#497	—	5	1	no	—
764	#491	—	5	1	no	—
765	#491	—	5	1	no	—
766	#491	—	5	1	no	—
767	#491	—	5	1	no	—
768	#489	—	5	1	no	—
769	#489	—	5	1	no	—
770	#489	—	5	1	no	—
771	#489	—	5	1	no	—
772	#485	—	5	1	no	—
773	#485	—	5	1	no	—
774	#485	—	5	1	no	—
775	#485	C₂×D₅	1	1	yes	characteristic
776	#484	—	5	1	no	—
777	#484	—	5	1	no	—
778	#484	—	5	1	no	—
779	#484	C₂×D₅	1	1	yes	characteristic
780	#483	—	5	1	no	—
781	#483	—	5	1	no	—
782	#483	—	5	1	no	—
783	#483	C₂×D₅	1	1	yes	characteristic
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	C₂×D₅	1	1	yes	characteristic
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	—	5	1	no	—
798	#479	—	5	1	no	—
799	#479	—	5	1	no	—
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#478	—	5	1	no	—
803	#478	—	5	1	no	—
804	#470	—	5	1	no	—
805	#470	—	5	1	no	—
806	#470	—	5	1	no	—
807	#470	C₂×D₅	1	1	yes	characteristic
808	#468	—	5	1	no	—
809	#468	—	5	1	no	—
810	#468	—	5	1	no	—
811	#468	C₂×D₅	1	1	yes	characteristic
812	#467	—	5	1	no	—
813	#467	—	5	1	no	—
814	#467	—	5	1	no	—
815	#467	C₂×D₅	1	1	yes	characteristic
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	C₂×D₅	1	1	yes	characteristic
820	#462	—	5	1	no	—
821	#462	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#462	—	5	1	no	—
825	#462	—	5	1	no	—
826	#462	—	5	1	no	—
827	#462	—	5	1	no	—
828	#461	—	5	1	no	—
829	#461	—	5	1	no	—
830	#461	—	5	1	no	—
831	#461	—	5	1	no	—
832	#460	—	5	1	no	—
833	#460	—	5	1	no	—
834	#460	—	5	1	no	—
835	#460	—	5	1	no	—
836	#452	—	5	1	no	—
837	#452	—	5	1	no	—
838	#452	—	5	1	no	—
839	#452	—	5	1	no	—
840	#452	—	5	1	no	—
841	#452	—	5	1	no	—
842	#452	C₂×D₅	1	1	yes	characteristic
843	#452	C₂×D₅	1	1	yes	characteristic
844	#451	—	5	1	no	—
845	#451	—	5	1	no	—
846	#451	—	5	1	no	—
847	#451	C₂×D₅	1	1	yes	characteristic
848	#448	—	5	1	no	—
849	#448	—	5	1	no	—
850	#448	—	5	1	no	—
851	#448	C₂×D₅	1	1	yes	characteristic
852	#441	—	5	1	no	—
853	#441	—	5	1	no	—
854	#441	—	5	1	no	—
855	#441	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	#440	—	5	1	no	—
859	#440	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	#433	—	5	1	no	—
869	#433	—	5	1	no	—
870	#433	—	5	1	no	—
871	#433	—	5	1	no	—
872	#432	—	5	1	no	—
873	#432	—	5	1	no	—
874	#432	—	5	1	no	—
875	#432	—	5	1	no	—
876	#424	—	5	1	no	—
877	#424	—	5	1	no	—
878	#408	—	5	1	no	—
879	#408	C₂×D₅	1	1	yes	characteristic
880	C₄×M₁₆	—	5	1	no	—
881	C₂×#97	—	5	1	no	—
882	C₂³×C₅	—	2	1	no	—
883	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
884	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
885	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
886	C₂²×D₅	—	2	1	no	—
887	C₅×Q₈	—	2	1	no	—
888	C₅×Q₈	—	2	1	no	—
889	C₅×Q₈	—	2	1	no	—
890	C₅×Q₈	—	2	1	no	—
891	C₅×Q₈	—	2	1	no	—
892	C₅×Q₈	—	2	1	no	—
893	C₅×Q₈	—	4	1	no	—
894	C₅×Q₈	—	4	2	no	—
895	C₅×D₄	—	2	1	no	—
896	C₅×D₄	—	2	1	no	—
897	C₅×D₄	—	4	1	no	—
898	C₅×D₄	—	4	1	no	—
899	C₅×D₄	—	4	1	no	—
900	C₅×D₄	—	4	2	no	—
901	C₅×D₄	—	8	1	no	—
902	C₅×D₄	—	8	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	4	2	no	—
917	C₂×C₄×C₅	—	4	2	no	—
918	C₂×C₄×C₅	—	8	1	no	—
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
923	C₂²⋊D₅	—	4	2	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂²⋊D₅	—	8	1	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂²⋊D₅	—	8	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	4	1	no	—
936	C₂×Dic₅	—	4	1	no	—
937	C₂×Dic₅	—	4	1	no	—
938	C₂×Dic₅	—	4	1	no	—
939	C₂×Dic₅	—	4	1	no	—
940	C₂×Dic₅	—	4	1	no	—
941	C₂×Dic₅	—	4	2	no	—
942	C₂×Dic₅	—	8	1	no	—
943	C₂×Dic₅	—	8	1	no	—
944	C₂×Dic₅	—	8	1	no	—
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	C₄×D₅	—	4	2	no	—
956	C₄×D₅	—	8	1	no	—
957	C₄×D₅	—	8	1	no	—
958	Dic₁₀	—	2	1	no	—
959	Dic₁₀	—	2	1	no	—
960	Dic₁₀	—	2	1	no	—
961	Dic₁₀	—	2	1	no	—
962	Dic₁₀	—	2	1	no	—
963	Dic₁₀	—	2	1	no	—
964	Dic₁₀	—	4	2	no	—
965	Dic₁₀	—	4	2	no	—
966	Dic₁₀	—	4	2	no	—
967	C₅×C₈	—	2	1	no	—
968	C₅×C₈	—	2	1	no	—
969	C₅×C₈	—	2	1	no	—
970	C₅×C₈	—	2	1	no	—
971	#168	—	2	1	no	—
972	#168	—	2	1	no	—
973	#168	—	2	1	no	—
974	#168	—	2	1	no	—
975	C₂×#41	—	5	1	no	—
976	C₂×#41	C₂²×D₅	1	1	yes	characteristic
977	C₂×#41	C₂²×D₅	1	1	yes	characteristic
978	C₂²×Q₈	—	5	1	no	—
979	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
980	C₂×Q₁₆	—	5	1	no	—
981	C₂×Q₁₆	—	5	1	no	—
982	C₂×Q₁₆	—	5	1	no	—
983	C₂×Q₁₆	—	5	1	no	—
984	C₂×Q₁₆	—	5	1	no	—
985	C₂×Q₁₆	—	5	1	no	—
986	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
987	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
988	C₂×SD₁₆	—	5	1	no	—
989	C₂×SD₁₆	—	5	1	no	—
990	C₂×SD₁₆	—	5	1	no	—
991	C₂×SD₁₆	—	5	1	no	—
992	C₂×SD₁₆	—	5	1	no	—
993	C₂×SD₁₆	—	5	1	no	—
994	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
995	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
996	C₂×M₁₆	—	5	1	no	—
997	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
998	C₂²×C₈	—	5	1	no	—
999	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1000	C₄⋊Q₈	—	2	1	no	—
1001	C₄⋊Q₈	—	5	1	no	—
1002	C₄⋊Q₈	—	5	1	no	—
1003	C₄⋊Q₈	—	5	1	no	—
1004	C₄⋊Q₈	—	5	1	no	—
1005	C₄⋊Q₈	—	5	1	no	—
1006	C₄⋊Q₈	—	5	1	no	—
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	10	1	no	—
1009	C₄⋊Q₈	—	10	1	no	—
1010	C₄⋊Q₈	—	10	1	no	—
1011	#127	—	5	1	no	—
1012	#126	—	10	1	no	—
1013	#126	—	10	1	no	—
1014	#126	—	10	1	no	—
1015	#126	—	10	1	no	—
1016	#126	—	10	1	no	—
1017	#126	—	10	1	no	—
1018	#126	—	10	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#126	—	10	1	no	—
1024	#126	—	10	1	no	—
1025	#126	—	10	1	no	—
1026	#126	—	10	1	no	—
1027	#126	—	10	1	no	—
1028	#125	—	5	1	no	—
1029	#125	—	5	1	no	—
1030	#125	—	5	1	no	—
1031	#125	—	5	1	no	—
1032	#125	—	5	1	no	—
1033	#125	—	5	1	no	—
1034	#125	—	10	1	no	—
1035	#125	—	10	1	no	—
1036	#125	—	10	1	no	—
1037	#125	—	10	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#125	—	10	1	no	—
1041	#125	—	10	1	no	—
1042	#125	—	10	1	no	—
1043	#125	—	10	1	no	—
1044	#125	—	10	1	no	—
1045	#125	—	10	1	no	—
1046	#125	—	10	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#124	—	2	1	no	—
1053	#124	—	5	1	no	—
1054	#124	—	5	1	no	—
1055	#124	—	10	1	no	—
1056	#123	—	2	1	no	—
1057	#123	—	2	1	no	—
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	C₂²⋊Q₈	—	2	1	no	—
1069	C₂²⋊Q₈	—	5	1	no	—
1070	C₂²⋊Q₈	—	5	1	no	—
1071	C₂²⋊Q₈	—	5	1	no	—
1072	C₂²⋊Q₈	—	5	1	no	—
1073	C₂²⋊Q₈	—	5	1	no	—
1074	C₂²⋊Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1083	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1084	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1085	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1086	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1087	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1088	#121	—	2	1	no	—
1089	#121	—	2	1	no	—
1090	#121	—	2	1	no	—
1091	#121	—	5	1	no	—
1092	#121	—	5	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	—	10	1	no	—
1096	#121	—	10	1	no	—
1097	#121	—	10	1	no	—
1098	#121	—	10	1	no	—
1099	#121	—	10	1	no	—
1100	#121	—	10	1	no	—
1101	#121	—	10	1	no	—
1102	#121	C₂²×D₅	1	1	yes	characteristic
1103	#121	C₂²×D₅	1	1	yes	characteristic
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	5	1	no	—
1151	#117	—	5	1	no	—
1152	#117	—	10	1	no	—
1153	#117	—	10	1	no	—
1154	#117	—	10	1	no	—
1155	#117	—	10	1	no	—
1156	#117	—	10	1	no	—
1157	#117	—	10	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	C₂²×D₅	1	1	yes	characteristic
1167	C₂×C₄⋊C₄	—	5	1	no	—
1168	C₂×C₄⋊C₄	—	10	1	no	—
1169	C₂×C₄⋊C₄	—	10	1	no	—
1170	C₂×C₄⋊C₄	—	10	1	no	—
1171	C₂×C₄⋊C₄	—	10	1	no	—
1172	C₂×C₄⋊C₄	—	10	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1175	C₂×C₄²	—	5	1	no	—
1176	C₂×C₄²	—	5	1	no	—
1177	C₂×C₄²	—	5	1	no	—
1178	#107	—	5	1	no	—
1179	#107	—	5	1	no	—
1180	#107	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	C₂²×D₅	1	1	yes	characteristic
1185	#107	C₂²×D₅	1	1	yes	characteristic
1186	#106	—	5	1	no	—
1187	#106	—	5	1	no	—
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	C₂²×D₅	1	1	yes	characteristic
1193	#106	C₂²×D₅	1	1	yes	characteristic
1194	C₄⋊C₈	—	5	1	no	—
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	—	5	1	no	—
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	#103	—	5	1	no	—
1203	#103	—	5	1	no	—
1204	#103	—	5	1	no	—
1205	#103	—	5	1	no	—
1206	#103	—	5	1	no	—
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	—	5	1	no	—
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	C₂²×D₅	1	1	yes	characteristic
1221	#103	C₂²×D₅	1	1	yes	characteristic
1222	#103	C₂²×D₅	1	1	yes	characteristic
1223	#103	C₂²×D₅	1	1	yes	characteristic
1224	#103	C₂²×D₅	1	1	yes	characteristic
1225	#103	C₂²×D₅	1	1	yes	characteristic
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	C₂²×D₅	1	1	yes	characteristic
1233	#102	C₂²×D₅	1	1	yes	characteristic
1234	C₂²⋊C₈	—	5	1	no	—
1235	C₂²⋊C₈	—	5	1	no	—
1236	C₂²⋊C₈	—	5	1	no	—
1237	C₂²⋊C₈	—	5	1	no	—
1238	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1239	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1240	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1241	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1242	#97	—	5	1	no	—
1243	#97	—	5	1	no	—
1244	#97	—	5	1	no	—
1245	#97	—	5	1	no	—
1246	#97	—	5	1	no	—
1247	#97	—	5	1	no	—
1248	C₄×C₈	—	5	1	no	—
1249	C₄×C₈	—	5	1	no	—
1250	C₂²×C₅	—	2	1	no	—
1251	C₂²×C₅	—	2	1	no	—
1252	C₂²×C₅	—	2	1	no	—
1253	C₂²×C₅	—	2	1	no	—
1254	C₂²×C₅	—	2	1	no	—
1255	C₂²×C₅	—	2	1	no	—
1256	C₂²×C₅	—	2	1	no	—
1257	C₂²×C₅	—	2	1	no	—
1258	C₂²×C₅	—	2	1	no	—
1259	C₂²×C₅	—	4	1	no	—
1260	C₂²×C₅	—	4	1	no	—
1261	C₂²×C₅	—	4	1	no	—
1262	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1263	C₂×D₅	—	4	1	no	—
1264	C₂×D₅	—	4	1	no	—
1265	C₂×D₅	—	4	1	no	—
1266	C₄×C₅	—	2	1	no	—
1267	C₄×C₅	—	2	1	no	—
1268	C₄×C₅	—	2	1	no	—
1269	C₄×C₅	—	4	1	no	—
1270	C₄×C₅	—	4	1	no	—
1271	C₄×C₅	—	4	1	no	—
1272	C₄×C₅	—	4	1	no	—
1273	C₄×C₅	—	4	1	no	—
1274	C₄×C₅	—	4	1	no	—
1275	C₄×C₅	—	4	1	no	—
1276	C₄×C₅	#585	1	1	yes	characteristic
1277	C₄×C₅	#585	1	1	yes	characteristic
1278	Dic₅	—	2	1	no	—
1279	Dic₅	—	2	1	no	—
1280	Dic₅	—	2	1	no	—
1281	Dic₅	—	2	1	no	—
1282	Dic₅	—	2	1	no	—
1283	Dic₅	—	2	1	no	—
1284	Dic₅	—	2	1	no	—
1285	Dic₅	—	2	1	no	—
1286	Dic₅	—	4	1	no	—
1287	Dic₅	—	4	1	no	—
1288	Dic₅	—	4	1	no	—
1289	Dic₅	—	4	1	no	—
1290	Dic₅	—	4	1	no	—
1291	Dic₅	—	4	1	no	—
1292	Dic₅	—	4	1	no	—
1293	#41	—	4	1	no	—
1294	#41	—	4	1	no	—
1295	#41	—	4	1	no	—
1296	#41	—	4	1	no	—
1297	#41	—	20	1	no	—
1298	#41	—	20	1	no	—
1299	C₂×Q₈	—	2	1	no	—
1300	C₂×Q₈	—	4	1	no	—
1301	C₂×Q₈	—	4	1	no	—
1302	C₂×Q₈	—	5	1	no	—
1303	C₂×Q₈	—	5	1	no	—
1304	C₂×Q₈	—	5	1	no	—
1305	C₂×Q₈	—	10	1	no	—
1306	C₂×Q₈	—	10	1	no	—
1307	C₂×Q₈	—	10	1	no	—
1308	C₂×Q₈	—	20	1	no	—
1309	C₂×Q₈	—	20	1	no	—
1310	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1311	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1312	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1313	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1314	C₂×D₄	—	2	1	no	—
1315	C₂×D₄	—	2	1	no	—
1316	C₂×D₄	—	2	1	no	—
1317	C₂×D₄	—	5	1	no	—
1318	C₂×D₄	—	10	1	no	—
1319	C₂×D₄	—	10	1	no	—
1320	C₂×D₄	—	10	1	no	—
1321	C₂×D₄	—	10	1	no	—
1322	C₂×D₄	—	10	1	no	—
1323	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1324	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1325	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1326	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	5	1	no	—
1331	C₂²×C₄	—	5	1	no	—
1332	C₂²×C₄	—	5	1	no	—
1333	C₂²×C₄	—	5	1	no	—
1334	C₂²×C₄	—	5	1	no	—
1335	C₂²×C₄	—	5	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	—	10	1	no	—
1342	C₂²×C₄	—	10	1	no	—
1343	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1344	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1345	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1346	Q₁₆	—	4	1	no	—
1347	Q₁₆	—	4	1	no	—
1348	Q₁₆	—	20	1	no	—
1349	Q₁₆	—	20	1	no	—
1350	Q₁₆	—	20	1	no	—
1351	Q₁₆	—	20	1	no	—
1352	Q₁₆	—	20	1	no	—
1353	Q₁₆	—	20	1	no	—
1354	SD₁₆	—	4	1	no	—
1355	SD₁₆	—	4	1	no	—
1356	SD₁₆	—	20	1	no	—
1357	SD₁₆	—	20	1	no	—
1358	SD₁₆	—	20	1	no	—
1359	SD₁₆	—	20	1	no	—
1360	SD₁₆	—	20	1	no	—
1361	SD₁₆	—	20	1	no	—
1362	M₁₆	—	4	1	no	—
1363	M₁₆	—	20	1	no	—
1364	C₂×C₈	—	4	1	no	—
1365	C₂×C₈	—	5	1	no	—
1366	C₂×C₈	—	5	1	no	—
1367	C₂×C₈	—	5	1	no	—
1368	C₂×C₈	—	5	1	no	—
1369	C₂×C₈	—	20	1	no	—
1370	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1371	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1372	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1373	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	5	1	no	—
1382	C₄⋊C₄	—	5	1	no	—
1383	C₄⋊C₄	—	5	1	no	—
1384	C₄⋊C₄	—	5	1	no	—
1385	C₄⋊C₄	—	5	1	no	—
1386	C₄⋊C₄	—	5	1	no	—
1387	C₄⋊C₄	—	5	1	no	—
1388	C₄⋊C₄	—	5	1	no	—
1389	C₄⋊C₄	—	5	1	no	—
1390	C₄⋊C₄	—	5	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	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1435	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1436	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1437	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	5	1	no	—
1448	C₂²⋊C₄	—	5	1	no	—
1449	C₂²⋊C₄	—	5	1	no	—
1450	C₂²⋊C₄	—	5	1	no	—
1451	C₂²⋊C₄	—	5	1	no	—
1452	C₂²⋊C₄	—	5	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₂²⋊C₄	—	10	1	no	—
1456	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	5	1	no	—
1472	C₄²	—	5	1	no	—
1473	C₄²	—	5	1	no	—
1474	C₄²	—	5	1	no	—
1475	C₄²	—	5	1	no	—
1476	C₄²	—	5	1	no	—
1477	C₄²	—	5	1	no	—
1478	C₄²	—	5	1	no	—
1479	C₄²	—	5	1	no	—
1480	C₄²	—	5	1	no	—
1481	C₄²	—	10	1	no	—
1482	C₄²	—	10	1	no	—
1483	C₄²	—	10	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	—	10	1	no	—
1494	C₂×C₅	—	4	1	no	—
1495	C₂×C₅	—	4	1	no	—
1496	C₂×C₅	—	4	1	no	—
1497	C₂×C₅	—	8	1	no	—
1498	C₂×C₅	#3449	1	1	yes	characteristic
1499	C₂×C₅	#3586	1	1	yes	characteristic
1500	C₂×C₅	#3586	1	1	yes	characteristic
1501	D₅	—	8	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	10	1	no	—
1504	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1505	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1506	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1507	Q₈	—	2	1	no	—
1508	Q₈	—	2	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	2	1	no	—
1511	Q₈	—	2	1	no	—
1512	Q₈	—	2	1	no	—
1513	Q₈	—	4	1	no	—
1514	Q₈	—	4	2	no	—
1515	Q₈	—	10	1	no	—
1516	Q₈	—	10	1	no	—
1517	Q₈	—	10	1	no	—
1518	Q₈	—	10	1	no	—
1519	Q₈	—	10	1	no	—
1520	Q₈	—	10	1	no	—
1521	Q₈	—	20	2	no	—
1522	Q₈	—	20	2	no	—
1523	Q₈	—	20	2	no	—
1524	D₄	—	2	1	no	—
1525	D₄	—	2	1	no	—
1526	D₄	—	4	1	no	—
1527	D₄	—	4	1	no	—
1528	D₄	—	4	1	no	—
1529	D₄	—	4	2	no	—
1530	D₄	—	8	1	no	—
1531	D₄	—	8	1	no	—
1532	D₄	—	10	1	no	—
1533	D₄	—	10	1	no	—
1534	D₄	—	20	2	no	—
1535	D₄	—	40	1	no	—
1536	D₄	—	40	1	no	—
1537	D₄	—	40	1	no	—
1538	D₄	—	40	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	4	2	no	—
1553	C₂×C₄	—	4	2	no	—
1554	C₂×C₄	—	5	1	no	—
1555	C₂×C₄	—	5	1	no	—
1556	C₂×C₄	—	5	1	no	—
1557	C₂×C₄	—	5	1	no	—
1558	C₂×C₄	—	5	1	no	—
1559	C₂×C₄	—	5	1	no	—
1560	C₂×C₄	—	5	1	no	—
1561	C₂×C₄	—	5	1	no	—
1562	C₂×C₄	—	8	1	no	—
1563	C₂×C₄	—	10	1	no	—
1564	C₂×C₄	—	10	1	no	—
1565	C₂×C₄	—	10	1	no	—
1566	C₂×C₄	—	10	1	no	—
1567	C₂×C₄	—	10	1	no	—
1568	C₂×C₄	—	10	1	no	—
1569	C₂×C₄	—	10	1	no	—
1570	C₂×C₄	—	20	2	no	—
1571	C₂×C₄	—	20	1	no	—
1572	C₂×C₄	—	20	1	no	—
1573	C₂×C₄	—	20	1	no	—
1574	C₂×C₄	—	20	1	no	—
1575	C₂×C₄	—	20	1	no	—
1576	C₂×C₄	—	20	1	no	—
1577	C₂×C₄	—	20	2	no	—
1578	C₂×C₄	—	40	1	no	—
1579	C₂×C₄	—	40	1	no	—
1580	C₂×C₄	—	40	1	no	—
1581	C₂×C₄	—	40	1	no	—
1582	C₂×C₄	—	40	1	no	—
1583	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1584	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1585	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1586	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	10	1	no	—
1592	C₈	—	10	1	no	—
1593	C₈	—	10	1	no	—
1594	C₈	—	10	1	no	—
1595	C₅	#61020	1	1	yes	characteristic, complemented, Sylow
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	1	no	—
1603	C₂²	—	2	1	no	—
1604	C₂²	—	2	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	20	1	no	—
1609	C₂²	—	20	1	no	—
1610	C₂²	—	20	1	no	—
1611	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₄	—	4	1	no	—
1618	C₄	—	4	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	—	4	1	no	—
1622	C₄	—	10	1	no	—
1623	C₄	—	10	1	no	—
1624	C₄	—	10	1	no	—
1625	C₄	—	10	1	no	—
1626	C₄	—	10	1	no	—
1627	C₄	—	10	1	no	—
1628	C₄	—	10	1	no	—
1629	C₄	—	10	1	no	—
1630	C₄	—	20	1	no	—
1631	C₄	—	20	1	no	—
1632	C₄	—	20	1	no	—
1633	C₄	—	20	1	no	—
1634	C₄	—	20	1	no	—
1635	C₄	—	20	1	no	—
1636	C₄	—	20	1	no	—
1637	C₄	#66285	1	1	yes	characteristic
1638	C₄	#66285	1	1	yes	characteristic
1639	C₂	—	4	1	no	—
1640	C₂	—	4	1	no	—
1641	C₂	—	4	1	no	—
1642	C₂	—	8	1	no	—
1643	C₂	—	40	1	no	—
1644	C₂	#10618195	1	1	yes	characteristic
1645	C₂	#10619109	1	1	yes	characteristic
1646	C₂	#10619112	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×#3201	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618270	C₂
hypercenter	#3201	D₅
hypocenter	C₅	#61020
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3201

Complements

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

N	H ≅ G/N	type
2. #10618244	C₂	semidirect
3. C₅×#3201	C₂	semidirect
4. #10615159	C₂	semidirect
5. #10615139	C₂	semidirect
6. #10613234	C₂	semidirect
7. #10613230	C₂	semidirect
8. #10613194	C₂	semidirect
9. #10613187	C₂	semidirect
10. #10613151	C₂	semidirect
11. #10613147	C₂	semidirect
12. #10613090	C₂	semidirect
13. #10613086	C₂	semidirect
14. #10612629	C₂	semidirect
15. #10612619	C₂	semidirect
16. #10612529	C₂	semidirect
17. #10612516	C₂	semidirect
18. #10612481	C₂	semidirect
19. #10612476	C₂	semidirect
20. #10612377	C₂	semidirect
21. #10612370	C₂	semidirect
22. #10611953	C₂	semidirect
23. #10611953	C₂	semidirect
24. #10611948	C₂	semidirect
25. #10611947	C₂	semidirect
26. #10611910	C₂	semidirect
27. #10611908	C₂	semidirect
28. #10611766	C₂	semidirect
29. #10611764	C₂	semidirect
30. #10610412	C₂	semidirect
31. #10610380	C₂	semidirect
496. #3201	D₅	semidirect
1595. C₅	#61020	semidirect

Maximal subgroups

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

subgroup	index
#10618270	2
#10618244	2
C₅×#3201	2
#10615159	2
#10615139	2
#10613234	2
#10613230	2
#10613194	2
#10613187	2
#10613151	2
#10613147	2
#10613090	2
#10613086	2
#10612629	2
#10612619	2
#10612529	2
#10612516	2
#10612481	2
#10612476	2
#10612377	2
#10612370	2
#10611953	2
#10611948	2
#10611947	2
#10611910	2
#10611908	2
#10611766	2
#10611764	2
#10610412	2
#10610380	2
#61020	5