Subgroups — #12969475

Order 1280.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618424	C₂	1	1	yes	maximal, characteristic
2	D₅×#541	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3178	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615189	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615176	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613708	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613691	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613601	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613593	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613372	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613360	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613331	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613325	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612635	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612621	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612537	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612517	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612490	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612474	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612389	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612366	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611560	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611555	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611505	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611498	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611459	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4064	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611398	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4061	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610301	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610279	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#541	C₂²	1	1	yes	characteristic
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×#4064	C₂²	1	1	yes	characteristic
36	C₂×#4061	C₂²	1	1	yes	characteristic
37	C₂×#4061	C₂²	1	1	yes	characteristic
38	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
39	C₂²×#676	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic
41	#66065	C₂²	1	1	yes	characteristic
42	#66062	C₂²	1	1	yes	characteristic
43	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
44	#66041	—	2	1	no	—
45	#66040	—	2	1	no	—
46	D₅×#126	—	2	1	no	—
47	D₅×#126	—	2	1	no	—
48	#66035	—	2	1	no	—
49	#66035	—	2	1	no	—
50	#66031	C₂²	1	1	yes	characteristic
51	#66030	—	2	1	no	—
52	#66030	—	2	1	no	—
53	D₅×#125	—	2	1	no	—
54	D₅×#125	—	2	1	no	—
55	D₅×#125	C₂²	1	1	yes	characteristic
56	#66016	C₂²	1	1	yes	characteristic
57	#66014	—	2	1	no	—
58	#66012	—	2	1	no	—
59	#66002	C₂²	1	1	yes	characteristic
60	#65991	—	2	1	no	—
61	#65983	—	2	1	no	—
62	#65972	—	2	1	no	—
63	#65961	C₂²	1	1	yes	characteristic
64	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	#65959	C₂²	1	1	yes	characteristic
67	#65959	C₂²	1	1	yes	characteristic
68	#65959	C₂²	1	1	yes	characteristic
69	#65958	—	2	1	no	—
70	#65953	C₂²	1	1	yes	characteristic
71	#65940	C₂²	1	1	yes	characteristic
72	#65917	C₂²	1	1	yes	characteristic
73	#65917	C₂²	1	1	yes	characteristic
74	#65917	C₂²	1	1	yes	characteristic
75	C₄×#713	C₂²	1	1	yes	characteristic
76	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
77	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
78	#65896	C₂²	1	1	yes	characteristic
79	C₄×#711	C₂²	1	1	yes	characteristic
80	#65868	C₂²	1	1	yes	characteristic
81	D₅×#117	C₂²	1	1	yes	characteristic
82	#65852	C₂²	1	1	yes	characteristic
83	C₅×#501	C₂²	1	1	yes	characteristic, complemented
84	C₅×#497	C₂²	1	1	yes	characteristic, complemented
85	C₅×#488	C₂²	1	1	yes	characteristic, complemented
86	C₅×#487	C₂²	1	1	yes	characteristic, complemented
87	C₅×#470	C₂²	1	1	yes	characteristic
88	C₅×#468	C₂²	1	1	yes	characteristic
89	C₅×#467	C₂²	1	1	yes	characteristic
90	C₅×#465	C₂²	1	1	yes	characteristic
91	C₅×#441	C₂²	1	1	yes	characteristic, complemented
92	C₅×#440	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₅×#405	C₂²	1	1	yes	characteristic
96	#65478	C₂²	1	1	yes	characteristic
97	#65477	C₂²	1	1	yes	characteristic
98	#65473	C₂²	1	1	yes	characteristic, complemented
99	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
100	#65470	C₂²	1	1	yes	characteristic, complemented
101	#65470	C₂²	1	1	yes	characteristic, complemented
102	#65464	C₂²	1	1	yes	characteristic, complemented
103	#65464	C₂²	1	1	yes	characteristic, complemented
104	#65463	C₂²	1	1	yes	characteristic
105	#65460	C₂²	1	1	yes	characteristic
106	#65453	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65426	C₂²	1	1	yes	characteristic
109	#65423	C₂²	1	1	yes	characteristic
110	#65411	C₂²	1	1	yes	characteristic
111	#65405	C₂²	1	1	yes	characteristic
112	#65403	C₂²	1	1	yes	characteristic
113	#65390	C₂²	1	1	yes	characteristic
114	#65382	C₂²	1	1	yes	characteristic, complemented
115	#65375	C₂²	1	1	yes	characteristic, complemented
116	#65370	C₂²	1	1	yes	characteristic, complemented
117	#65369	C₂²	1	1	yes	characteristic, complemented
118	#65357	C₂²	1	1	yes	characteristic, complemented
119	#65354	C₂²	1	1	yes	characteristic, complemented
120	#65349	C₂²	1	1	yes	characteristic, complemented
121	#65345	C₂²	1	1	yes	characteristic, complemented
122	#65341	C₂²	1	1	yes	characteristic
123	#65341	C₂²	1	1	yes	characteristic
124	#65340	C₂²	1	1	yes	characteristic
125	#65340	C₂²	1	1	yes	characteristic
126	#65338	C₂²	1	1	yes	characteristic
127	#65337	C₂²	1	1	yes	characteristic
128	#65331	C₂²	1	1	yes	characteristic
129	#65330	C₂²	1	1	yes	characteristic
130	#65319	C₂²	1	1	yes	characteristic, complemented
131	#65319	C₂²	1	1	yes	characteristic, complemented
132	C₄×#689	C₂²	1	1	yes	characteristic, complemented
133	C₄×#689	C₂²	1	1	yes	characteristic, complemented
134	#65315	C₂²	1	1	yes	characteristic, complemented
135	C₄×#688	C₂²	1	1	yes	characteristic, complemented
136	#65307	C₂²	1	1	yes	characteristic, complemented
137	C₄×#687	C₂²	1	1	yes	characteristic, complemented
138	#65286	C₂²	1	1	yes	characteristic
139	#65178	C₂²	1	1	yes	characteristic, complemented
140	#65176	C₂²	1	1	yes	characteristic
141	#65175	C₂²	1	1	yes	characteristic
142	#65170	C₂²	1	1	yes	characteristic
143	#65170	C₂²	1	1	yes	characteristic
144	#65167	C₂²	1	1	yes	characteristic, complemented
145	#65167	C₂²	1	1	yes	characteristic, complemented
146	#65162	C₂²	1	1	yes	characteristic, complemented
147	#65157	C₂²	1	1	yes	characteristic
148	#65153	C₂²	1	1	yes	characteristic
149	#65150	C₂²	1	1	yes	characteristic
150	#65150	C₂²	1	1	yes	characteristic
151	#65147	C₂²	1	1	yes	characteristic, complemented
152	#65147	C₂²	1	1	yes	characteristic, complemented
153	#65142	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic, complemented
156	#65105	C₂²	1	1	yes	characteristic
157	#65105	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic
160	#65101	C₂²	1	1	yes	characteristic
161	#65096	C₂²	1	1	yes	characteristic
162	#65092	C₂²	1	1	yes	characteristic
163	#65092	C₂²	1	1	yes	characteristic
164	#65091	C₂²	1	1	yes	characteristic
165	#65091	C₂²	1	1	yes	characteristic
166	#65091	C₂²	1	1	yes	characteristic
167	#65091	C₂²	1	1	yes	characteristic
168	#65086	C₂²	1	1	yes	characteristic, complemented
169	#65086	C₂²	1	1	yes	characteristic, complemented
170	#65086	C₂²	1	1	yes	characteristic, complemented
171	#65086	C₂²	1	1	yes	characteristic, complemented
172	#65086	C₂²	1	1	yes	characteristic, complemented
173	#65086	C₂²	1	1	yes	characteristic, complemented
174	#65079	C₂²	1	1	yes	characteristic, complemented
175	#65079	C₂²	1	1	yes	characteristic, complemented
176	#65078	C₂²	1	1	yes	characteristic, complemented
177	#65078	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65069	C₂²	1	1	yes	characteristic
180	#65067	C₂²	1	1	yes	characteristic
181	#65060	C₂²	1	1	yes	characteristic
182	#65060	C₂²	1	1	yes	characteristic
183	#65053	C₂²	1	1	yes	characteristic, complemented
184	#65053	C₂²	1	1	yes	characteristic, complemented
185	#65047	C₂²	1	1	yes	characteristic, complemented
186	#65046	C₂²	1	1	yes	characteristic, complemented
187	#65005	C₂²	1	1	yes	characteristic, complemented
188	#65004	C₂²	1	1	yes	characteristic, complemented
189	#64999	C₂²	1	1	yes	characteristic, complemented
190	#64997	C₂²	1	1	yes	characteristic
191	#64997	C₂²	1	1	yes	characteristic
192	#64996	C₂²	1	1	yes	characteristic
193	#64996	C₂²	1	1	yes	characteristic
194	#64991	C₂²	1	1	yes	characteristic, complemented
195	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
196	#64986	C₂²	1	1	yes	characteristic, complemented
197	C₄×#677	C₂²	1	1	yes	characteristic, complemented
198	#64978	C₂²	1	1	yes	characteristic
199	#64978	C₂²	1	1	yes	characteristic
200	C₄×#676	C₂²	1	1	yes	characteristic
201	C₄×#676	C₂²	1	1	yes	characteristic
202	#64970	C₂²	1	1	yes	characteristic, complemented
203	#60705	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	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	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#126	—	2	1	no	—
218	C₅×#126	—	2	1	no	—
219	C₅×#126	—	2	1	no	—
220	C₅×#125	—	2	1	no	—
221	C₅×#125	—	2	1	no	—
222	C₅×#125	C₂³	1	1	yes	characteristic
223	C₅×#124	—	2	1	no	—
224	C₅×#124	C₂³	1	1	yes	characteristic
225	C₅×#123	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×#121	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₅×#117	C₂³	1	1	yes	characteristic
236	#4093	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	C₂³	1	1	yes	characteristic
240	#4092	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	—	2	1	no	—
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	#4090	C₂³	1	1	yes	characteristic
247	#4090	C₂³	1	1	yes	characteristic
248	#4090	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#689	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#688	C₂³	1	1	yes	characteristic
254	C₂×#688	C₂³	1	1	yes	characteristic
255	#4086	C₂³	1	1	yes	characteristic
256	#4085	—	2	1	no	—
257	#4084	—	2	1	no	—
258	#4084	C₂³	1	1	yes	characteristic
259	#4083	—	2	1	no	—
260	D₄×Dic₅	—	2	1	no	—
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×#687	C₂³	1	1	yes	characteristic
263	C₂×#687	C₂³	1	1	yes	characteristic
264	#4076	—	2	1	no	—
265	#4076	C₂³	1	1	yes	characteristic
266	#4075	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	#4072	C₂³	1	1	yes	characteristic
269	#4070	C₂³	1	1	yes	characteristic
270	#4070	C₂³	1	1	yes	characteristic
271	#4070	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅	—	2	1	no	—
273	C₂×#681	C₂³	1	1	yes	characteristic
274	C₂²×#168	C₂³	1	1	yes	characteristic
275	#4064	—	2	4	no	—
276	#4064	—	2	4	no	—
277	#4061	—	2	4	no	—
278	#4061	—	2	4	no	—
279	D₅×M₁₆	—	2	4	no	—
280	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
281	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
282	C₂×#677	C₂³	1	1	yes	characteristic
283	C₂×#677	C₂³	1	1	yes	characteristic
284	C₂×#676	—	2	4	no	—
285	C₂×#676	C₂³	1	1	yes	characteristic
286	C₂×#676	C₂³	1	1	yes	characteristic
287	C₂×#676	C₂³	1	1	yes	characteristic
288	C₂×#676	C₂³	1	1	yes	characteristic
289	C₂×#676	C₂³	1	1	yes	characteristic
290	C₂×#676	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
293	#4044	—	2	1	no	—
294	#4044	—	2	1	no	—
295	#4044	—	2	1	no	—
296	#4044	—	2	1	no	—
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4044	—	2	1	no	—
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4043	—	2	1	no	—
303	#4043	C₂³	1	1	yes	characteristic
304	#4043	C₂³	1	1	yes	characteristic
305	#4043	C₂³	1	1	yes	characteristic
306	#4042	—	2	1	no	—
307	#4042	—	2	1	no	—
308	#4042	—	2	1	no	—
309	#4041	C₂³	1	1	yes	characteristic
310	#4040	—	2	1	no	—
311	#4040	—	2	1	no	—
312	#4039	—	2	1	no	—
313	#4039	—	2	1	no	—
314	#4039	C₂³	1	1	yes	characteristic
315	#4038	—	2	1	no	—
316	#4038	D₄	1	1	yes	characteristic
317	#4038	D₄	1	1	yes	characteristic
318	#4038	C₂³	1	1	yes	characteristic
319	#4038	C₂³	1	1	yes	characteristic
320	D₅×C₄⋊C₄	—	2	1	no	—
321	D₅×C₄⋊C₄	—	2	1	no	—
322	D₅×C₄⋊C₄	—	2	1	no	—
323	D₅×C₄⋊C₄	—	2	1	no	—
324	D₅×C₄⋊C₄	—	2	1	no	—
325	D₅×C₄⋊C₄	—	2	1	no	—
326	D₅×C₄⋊C₄	—	2	1	no	—
327	D₅×C₄⋊C₄	—	2	1	no	—
328	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
329	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
338	#4036	C₂³	1	1	yes	characteristic
339	#4036	C₂³	1	1	yes	characteristic
340	#4036	C₂³	1	1	yes	characteristic
341	#4035	—	2	1	no	—
342	#4035	—	2	1	no	—
343	#4035	—	2	1	no	—
344	#4035	—	2	1	no	—
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	#4034	—	2	1	no	—
354	#4034	—	2	1	no	—
355	#4033	—	2	1	no	—
356	#4033	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	C₂³	1	1	yes	characteristic
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4030	—	2	1	no	—
366	#4030	—	2	1	no	—
367	#4030	—	2	1	no	—
368	#4029	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4028	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	#4027	—	2	1	no	—
378	D₅×C₂²⋊C₄	—	2	1	no	—
379	D₅×C₂²⋊C₄	—	2	1	no	—
380	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
381	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
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	#4025	—	2	1	no	—
390	#4025	—	2	1	no	—
391	#4024	—	2	1	no	—
392	#4024	—	2	1	no	—
393	#4024	—	2	1	no	—
394	#4023	—	2	1	no	—
395	#4023	D₄	1	1	yes	characteristic
396	#4023	D₄	1	1	yes	characteristic
397	#4022	—	2	1	no	—
398	#4022	—	2	1	no	—
399	#4022	—	2	1	no	—
400	#4021	C₂³	1	1	yes	characteristic
401	C₄×D₂₀	—	2	1	no	—
402	C₄×D₂₀	C₂³	1	1	yes	characteristic
403	#4018	C₂³	1	1	yes	characteristic
404	#4018	C₂³	1	1	yes	characteristic
405	C₄²×D₅	—	2	1	no	—
406	C₄²×D₅	—	2	1	no	—
407	C₄²×D₅	—	2	1	no	—
408	C₄²×D₅	C₂³	1	1	yes	characteristic
409	C₄²×D₅	C₂³	1	1	yes	characteristic
410	#4016	—	2	1	no	—
411	#4016	—	2	1	no	—
412	#4016	—	2	1	no	—
413	#4016	C₂³	1	1	yes	characteristic
414	#4015	C₂³	1	1	yes	characteristic
415	#4015	C₂³	1	1	yes	characteristic
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#107	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	C₅×#97	C₂³	1	1	yes	characteristic
435	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3949	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3947	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	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	#3942	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3935	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3455	—	5	1	no	—
486	C₂×#541	—	5	1	no	—
487	#3178	—	5	1	no	—
488	#3178	—	5	1	no	—
489	#3178	—	5	1	no	—
490	#3178	—	5	1	no	—
491	#3178	—	5	1	no	—
492	#3178	—	5	1	no	—
493	#3178	—	5	1	no	—
494	#3178	D₅	1	1	yes	characteristic, complemented
495	#3177	—	5	1	no	—
496	#3177	—	5	1	no	—
497	#3177	—	5	1	no	—
498	#3177	—	5	1	no	—
499	#3174	—	5	1	no	—
500	#3174	—	5	1	no	—
501	#3174	—	5	1	no	—
502	#3174	—	5	1	no	—
503	#3166	—	5	1	no	—
504	#3152	—	5	1	no	—
505	#3142	—	5	1	no	—
506	#3139	—	5	1	no	—
507	#3056	—	5	1	no	—
508	#3056	—	5	1	no	—
509	#3056	—	5	1	no	—
510	#3056	—	5	1	no	—
511	C₄×#137	—	5	1	no	—
512	C₄×#137	—	5	1	no	—
513	C₄×#137	—	5	1	no	—
514	C₄×#137	—	5	1	no	—
515	#2873	—	5	1	no	—
516	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
533	#713	—	2	2	no	—
534	#713	—	2	2	no	—
535	Q₈×D₅	—	2	2	no	—
536	Q₈×D₅	—	2	2	no	—
537	Q₈×D₅	—	2	2	no	—
538	Q₈×D₅	—	2	2	no	—
539	#711	—	2	2	no	—
540	#711	—	2	2	no	—
541	C₂×D₂₀	—	2	1	no	—
542	C₂×D₂₀	—	2	1	no	—
543	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₅	—	2	2	no	—
545	C₂×C₄×D₅	—	2	2	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	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
558	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
565	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
567	C₅×Q₁₆	—	2	2	no	—
568	C₅×Q₁₆	—	2	2	no	—
569	C₅×SD₁₆	—	2	2	no	—
570	C₅×SD₁₆	—	2	2	no	—
571	C₅×M₁₆	—	2	2	no	—
572	C₂×C₅×C₈	—	2	2	no	—
573	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₄²×C₅	—	2	1	no	—
604	C₄²×C₅	—	2	1	no	—
605	C₄²×C₅	—	2	1	no	—
606	C₄²×C₅	C₂⁴	1	1	yes	characteristic
607	C₄²×C₅	C₂⁴	1	1	yes	characteristic
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
615	#689	—	2	2	no	—
616	#689	—	2	2	no	—
617	#689	—	2	2	no	—
618	#689	—	2	2	no	—
619	#688	—	2	2	no	—
620	#688	—	2	2	no	—
621	#687	—	2	2	no	—
622	#687	—	2	2	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	C₂×D₄	1	1	yes	characteristic
638	#685	C₂×D₄	1	1	yes	characteristic
639	#685	C₂×D₄	1	1	yes	characteristic
640	#685	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	—	2	1	no	—
642	C₄⋊Dic₅	—	2	1	no	—
643	C₄⋊Dic₅	—	2	1	no	—
644	C₄⋊Dic₅	—	2	1	no	—
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	#681	—	2	2	no	—
708	C₂×#168	—	2	2	no	—
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	Dic₂₀	—	2	2	no	—
714	Dic₂₀	—	2	2	no	—
715	#677	—	2	2	no	—
716	#677	—	2	2	no	—
717	#676	—	2	2	no	—
718	#676	—	2	2	no	—
719	#676	—	2	2	no	—
720	#676	—	2	2	no	—
721	#676	#41	1	4	yes	—
722	#676	#41	1	4	yes	—
723	C₈×D₅	—	2	2	no	—
724	C₈×D₅	—	2	2	no	—
725	C₂×#137	—	5	1	no	—
726	C₂×#137	—	5	1	no	—
727	C₂×#137	—	5	1	no	—
728	C₂×#137	—	5	1	no	—
729	C₂²×M₁₆	—	5	1	no	—
730	C₂²×M₁₆	—	5	1	no	—
731	#542	—	5	1	no	—
732	#542	—	5	1	no	—
733	#542	—	5	1	no	—
734	#542	C₂×D₅	1	1	yes	characteristic
735	#541	—	5	1	no	—
736	#541	—	5	1	no	—
737	#541	—	5	1	no	—
738	#541	—	5	1	no	—
739	#541	—	5	1	no	—
740	#541	—	5	1	no	—
741	#541	—	5	1	no	—
742	#541	—	5	1	no	—
743	#541	—	5	1	no	—
744	#541	—	10	1	no	—
745	#541	—	10	1	no	—
746	#541	—	10	1	no	—
747	#541	—	10	1	no	—
748	#541	C₂×D₅	1	1	yes	characteristic
749	#540	—	5	1	no	—
750	#540	—	5	1	no	—
751	#539	—	10	1	no	—
752	#539	—	10	1	no	—
753	#538	—	10	1	no	—
754	#538	—	10	1	no	—
755	#533	—	5	1	no	—
756	#532	—	5	1	no	—
757	C₂×C₄⋊Q₈	—	5	1	no	—
758	#529	—	10	1	no	—
759	#529	—	10	1	no	—
760	#529	—	10	1	no	—
761	#529	—	10	1	no	—
762	C₂×#126	—	10	1	no	—
763	C₂×#126	—	10	1	no	—
764	C₂×#125	—	5	1	no	—
765	C₂×#125	—	10	1	no	—
766	C₂×#125	—	10	1	no	—
767	#525	—	5	1	no	—
768	#525	—	5	1	no	—
769	C₂×C₂²⋊Q₈	—	5	1	no	—
770	C₂×C₂²⋊Q₈	—	5	1	no	—
771	C₄×#41	—	5	1	no	—
772	C₄×#41	—	5	1	no	—
773	C₂×C₄×Q₈	—	5	1	no	—
774	C₂×C₄×Q₈	—	5	1	no	—
775	C₂×#117	—	5	1	no	—
776	#501	—	5	1	no	—
777	#501	—	5	1	no	—
778	#501	—	5	1	no	—
779	#501	C₂×D₅	1	1	yes	characteristic, complemented
780	#499	—	5	1	no	—
781	#499	—	5	1	no	—
782	#499	—	5	1	no	—
783	#499	—	5	1	no	—
784	#497	—	5	1	no	—
785	#497	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	C₂×D₅	1	1	yes	characteristic, complemented
788	#494	—	5	1	no	—
789	#494	—	5	1	no	—
790	#492	—	5	1	no	—
791	#492	—	5	1	no	—
792	#491	—	5	1	no	—
793	#491	—	5	1	no	—
794	#491	—	5	1	no	—
795	#491	—	5	1	no	—
796	#491	—	5	1	no	—
797	#491	—	5	1	no	—
798	#490	—	5	1	no	—
799	#490	—	5	1	no	—
800	#488	—	5	1	no	—
801	#488	—	5	1	no	—
802	#488	—	5	1	no	—
803	#488	C₂×D₅	1	1	yes	characteristic, complemented
804	#487	—	5	1	no	—
805	#487	—	5	1	no	—
806	#487	—	5	1	no	—
807	#487	C₂×D₅	1	1	yes	characteristic, complemented
808	#470	—	5	1	no	—
809	#470	—	5	1	no	—
810	#470	—	5	1	no	—
811	#470	—	5	1	no	—
812	#470	—	5	1	no	—
813	#470	—	5	1	no	—
814	#470	—	5	1	no	—
815	#470	C₂×D₅	1	1	yes	characteristic
816	#468	—	5	1	no	—
817	#468	—	5	1	no	—
818	#468	—	5	1	no	—
819	#468	—	5	1	no	—
820	#468	—	5	1	no	—
821	#468	—	5	1	no	—
822	#468	—	5	1	no	—
823	#468	C₂×D₅	1	1	yes	characteristic
824	#467	—	5	1	no	—
825	#467	—	5	1	no	—
826	#467	—	5	1	no	—
827	#467	—	5	1	no	—
828	#467	—	5	1	no	—
829	#467	—	5	1	no	—
830	#467	—	5	1	no	—
831	#467	C₂×D₅	1	1	yes	characteristic
832	#465	—	5	1	no	—
833	#465	—	5	1	no	—
834	#465	—	5	1	no	—
835	#465	—	5	1	no	—
836	#465	—	5	1	no	—
837	#465	—	5	1	no	—
838	#465	—	5	1	no	—
839	#465	C₂×D₅	1	1	yes	characteristic
840	#441	—	5	1	no	—
841	#441	—	5	1	no	—
842	#441	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#441	C₂×D₅	1	1	yes	characteristic, complemented
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	#440	C₂×D₅	1	1	yes	characteristic, complemented
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	—	5	1	no	—
863	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
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	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
872	#428	—	5	1	no	—
873	#428	—	5	1	no	—
874	#428	—	5	1	no	—
875	#428	—	5	1	no	—
876	#419	—	5	1	no	—
877	#419	—	5	1	no	—
878	#419	—	5	1	no	—
879	#419	—	5	1	no	—
880	#417	—	5	1	no	—
881	#417	—	5	1	no	—
882	#417	—	5	1	no	—
883	#417	—	5	1	no	—
884	#405	—	5	1	no	—
885	#405	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	#405	—	5	1	no	—
889	#405	—	5	1	no	—
890	#405	—	5	1	no	—
891	#405	C₂×D₅	1	1	yes	characteristic
892	C₄×M₁₆	—	5	1	no	—
893	C₄×M₁₆	—	5	1	no	—
894	C₄×M₁₆	—	5	1	no	—
895	C₄×M₁₆	—	5	1	no	—
896	C₂³×C₅	—	2	1	no	—
897	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂²×D₅	—	2	2	no	—
899	C₂²×D₅	—	2	1	no	—
900	C₂²×D₅	—	4	1	no	—
901	C₂²×D₅	—	4	1	no	—
902	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
903	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
904	C₅×Q₈	—	2	1	no	—
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	8	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	8	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	8	1	no	—
924	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
930	C₂²⋊D₅	—	4	2	no	—
931	C₂²⋊D₅	—	8	1	no	—
932	C₂²⋊D₅	—	8	1	no	—
933	C₂²⋊D₅	—	8	1	no	—
934	C₂²⋊D₅	—	8	1	no	—
935	C₂×Dic₅	—	2	2	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	2	1	no	—
938	C₂×Dic₅	—	2	1	no	—
939	C₂×Dic₅	—	2	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	4	2	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	D₂₀	—	2	1	no	—
952	D₂₀	—	2	1	no	—
953	D₂₀	—	4	2	no	—
954	D₂₀	—	8	1	no	—
955	C₄×D₅	—	2	2	no	—
956	C₄×D₅	—	2	1	no	—
957	C₄×D₅	—	2	1	no	—
958	C₄×D₅	—	2	2	no	—
959	C₄×D₅	—	4	1	no	—
960	C₄×D₅	—	4	1	no	—
961	C₄×D₅	—	4	1	no	—
962	C₄×D₅	—	4	1	no	—
963	C₄×D₅	—	4	2	no	—
964	C₄×D₅	—	4	2	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	4	2	no	—
967	C₄×D₅	—	4	2	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	C₂×#41	1	2	yes	—
971	C₄×D₅	C₂×#41	1	2	yes	—
972	Dic₁₀	—	2	1	no	—
973	Dic₁₀	—	2	1	no	—
974	Dic₁₀	—	2	1	no	—
975	Dic₁₀	—	2	1	no	—
976	Dic₁₀	—	2	1	no	—
977	Dic₁₀	—	2	1	no	—
978	Dic₁₀	—	4	2	no	—
979	Dic₁₀	—	4	2	no	—
980	Dic₁₀	—	8	1	no	—
981	C₅×C₈	—	2	1	no	—
982	C₅×C₈	—	2	1	no	—
983	C₅×C₈	C₂×#41	1	2	yes	—
984	C₅×C₈	C₂×#41	1	2	yes	—
985	#168	—	2	1	no	—
986	#168	—	2	1	no	—
987	#168	C₂×#41	1	2	yes	—
988	#168	C₂×#41	1	2	yes	—
989	C₂×#41	—	5	1	no	—
990	C₂×#41	—	5	1	no	—
991	C₂²×Q₈	—	5	1	no	—
992	C₂²×Q₈	—	5	1	no	—
993	C₂³×C₄	—	5	1	no	—
994	#137	—	10	4	no	—
995	#137	—	10	4	no	—
996	#137	—	10	4	no	—
997	#137	—	10	4	no	—
998	C₂×Q₁₆	—	5	1	no	—
999	C₂×Q₁₆	—	5	1	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	—	5	1	no	—
1002	C₂×Q₁₆	—	5	1	no	—
1003	C₂×Q₁₆	—	5	1	no	—
1004	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1005	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1006	C₂×SD₁₆	—	5	1	no	—
1007	C₂×SD₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	—	5	1	no	—
1012	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1013	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1014	C₂×M₁₆	—	5	1	no	—
1015	C₂×M₁₆	—	5	1	no	—
1016	C₂×M₁₆	—	5	1	no	—
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂×M₁₆	—	5	1	no	—
1020	C₂×M₁₆	—	5	1	no	—
1021	C₂×M₁₆	—	10	4	no	—
1022	C₂×M₁₆	—	10	4	no	—
1023	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1024	C₂²×C₈	—	5	1	no	—
1025	C₂²×C₈	—	5	1	no	—
1026	C₂²×C₈	—	5	1	no	—
1027	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1028	C₄⋊Q₈	—	5	1	no	—
1029	C₄⋊Q₈	—	5	1	no	—
1030	C₄⋊Q₈	—	5	1	no	—
1031	C₄⋊Q₈	—	5	1	no	—
1032	C₄⋊Q₈	—	5	1	no	—
1033	C₄⋊Q₈	—	10	1	no	—
1034	C₄⋊Q₈	—	10	1	no	—
1035	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1036	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1037	#127	—	5	1	no	—
1038	#126	—	2	1	no	—
1039	#126	—	2	1	no	—
1040	#126	—	2	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#126	—	10	1	no	—
1046	#126	—	10	1	no	—
1047	#126	—	10	1	no	—
1048	#126	—	10	1	no	—
1049	#126	—	10	1	no	—
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#126	—	10	1	no	—
1055	#126	—	10	1	no	—
1056	#126	—	10	1	no	—
1057	#126	—	10	1	no	—
1058	#126	—	10	1	no	—
1059	#126	—	10	1	no	—
1060	#126	—	10	1	no	—
1061	#126	—	10	1	no	—
1062	#125	—	2	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	5	1	no	—
1065	#125	—	5	1	no	—
1066	#125	—	5	1	no	—
1067	#125	—	5	1	no	—
1068	#125	—	5	1	no	—
1069	#125	—	10	1	no	—
1070	#125	—	10	1	no	—
1071	#125	—	10	1	no	—
1072	#125	—	10	1	no	—
1073	#125	—	10	1	no	—
1074	#125	—	10	1	no	—
1075	#125	—	10	1	no	—
1076	#125	—	10	1	no	—
1077	#125	—	10	1	no	—
1078	#125	—	10	1	no	—
1079	#125	—	10	1	no	—
1080	#125	—	10	1	no	—
1081	#125	—	10	1	no	—
1082	#125	—	10	1	no	—
1083	#125	—	10	1	no	—
1084	#125	—	10	1	no	—
1085	#125	—	10	1	no	—
1086	#125	—	10	1	no	—
1087	#125	—	10	1	no	—
1088	#125	—	10	1	no	—
1089	#125	C₂²×D₅	1	1	yes	characteristic
1090	#124	—	2	1	no	—
1091	#124	—	5	1	no	—
1092	#124	—	10	1	no	—
1093	#124	—	10	1	no	—
1094	#124	—	10	1	no	—
1095	#124	C₂²×D₅	1	1	yes	characteristic
1096	#123	—	2	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	#123	—	10	1	no	—
1103	#123	—	10	1	no	—
1104	#123	—	10	1	no	—
1105	#123	—	10	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	5	1	no	—
1108	C₂²⋊Q₈	—	5	1	no	—
1109	C₂²⋊Q₈	—	5	1	no	—
1110	C₂²⋊Q₈	—	5	1	no	—
1111	C₂²⋊Q₈	—	5	1	no	—
1112	C₂²⋊Q₈	—	5	1	no	—
1113	C₂²⋊Q₈	—	5	1	no	—
1114	C₂²⋊Q₈	—	5	1	no	—
1115	C₂²⋊Q₈	—	5	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	—	10	1	no	—
1120	C₂²⋊Q₈	—	10	1	no	—
1121	C₂²⋊Q₈	—	10	1	no	—
1122	C₂²⋊Q₈	—	10	1	no	—
1123	C₂²⋊Q₈	—	10	1	no	—
1124	C₂²⋊Q₈	—	10	1	no	—
1125	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1126	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1128	#121	—	5	1	no	—
1129	#121	—	5	1	no	—
1130	#121	—	5	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	C₂²×D₅	1	1	yes	characteristic
1138	#120	—	10	1	no	—
1139	#120	—	10	1	no	—
1140	C₄×Q₈	—	5	1	no	—
1141	C₄×Q₈	—	5	1	no	—
1142	C₄×Q₈	—	5	1	no	—
1143	C₄×Q₈	—	5	1	no	—
1144	C₄×Q₈	—	5	1	no	—
1145	C₄×Q₈	—	5	1	no	—
1146	C₄×Q₈	—	5	1	no	—
1147	C₄×Q₈	—	5	1	no	—
1148	C₄×Q₈	—	5	1	no	—
1149	C₄×Q₈	—	10	1	no	—
1150	C₄×Q₈	—	10	1	no	—
1151	C₄×Q₈	—	10	1	no	—
1152	C₄×Q₈	—	10	1	no	—
1153	C₄×Q₈	—	10	1	no	—
1154	C₄×Q₈	—	10	1	no	—
1155	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1156	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1157	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1158	C₄×D₄	—	5	1	no	—
1159	C₄×D₄	—	5	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1172	#117	—	5	1	no	—
1173	#117	—	5	1	no	—
1174	#117	—	5	1	no	—
1175	#117	—	5	1	no	—
1176	#117	—	5	1	no	—
1177	#117	—	5	1	no	—
1178	#117	—	5	1	no	—
1179	#117	—	5	1	no	—
1180	#117	—	5	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	#117	C₂²×D₅	1	1	yes	characteristic
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	5	1	no	—
1186	C₂×C₄⋊C₄	—	5	1	no	—
1187	C₂×C₄⋊C₄	—	5	1	no	—
1188	C₂×C₄⋊C₄	—	10	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	10	1	no	—
1192	C₂×C₄⋊C₄	—	10	1	no	—
1193	C₂×C₄⋊C₄	—	10	1	no	—
1194	C₂×C₄⋊C₄	—	10	1	no	—
1195	C₂×C₄⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	5	1	no	—
1197	C₂×C₂²⋊C₄	—	5	1	no	—
1198	C₂×C₂²⋊C₄	—	10	1	no	—
1199	C₂×C₂²⋊C₄	—	10	1	no	—
1200	C₂×C₄²	—	5	1	no	—
1201	C₂×C₄²	—	5	1	no	—
1202	C₂×C₄²	—	10	1	no	—
1203	C₂×C₄²	—	10	1	no	—
1204	C₂×C₄²	—	10	1	no	—
1205	C₂×C₄²	—	10	1	no	—
1206	#107	—	5	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	—	5	1	no	—
1210	#107	—	5	1	no	—
1211	#107	—	5	1	no	—
1212	#107	C₂²×D₅	1	1	yes	characteristic
1213	#107	C₂²×D₅	1	1	yes	characteristic
1214	#106	—	5	1	no	—
1215	#106	—	5	1	no	—
1216	#106	—	5	1	no	—
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	—	5	1	no	—
1220	#106	C₂²×D₅	1	1	yes	characteristic
1221	#106	C₂²×D₅	1	1	yes	characteristic
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	C₂²×D₅	1	1	yes	characteristic
1241	#103	C₂²×D₅	1	1	yes	characteristic
1242	#103	C₂²×D₅	1	1	yes	characteristic
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#103	C₂²×D₅	1	1	yes	characteristic
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	C₂²×D₅	1	1	yes	characteristic
1253	#102	C₂²×D₅	1	1	yes	characteristic
1254	#97	—	5	1	no	—
1255	#97	—	5	1	no	—
1256	#97	—	5	1	no	—
1257	#97	—	5	1	no	—
1258	#97	—	5	1	no	—
1259	#97	—	5	1	no	—
1260	#97	C₂²×D₅	1	1	yes	characteristic
1261	#97	C₂²×D₅	1	1	yes	characteristic
1262	C₄×C₈	—	5	1	no	—
1263	C₄×C₈	—	5	1	no	—
1264	C₄×C₈	—	5	1	no	—
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	—	5	1	no	—
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1269	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1270	C₂²×C₅	—	2	1	no	—
1271	C₂²×C₅	—	2	1	no	—
1272	C₂²×C₅	—	2	1	no	—
1273	C₂²×C₅	—	4	1	no	—
1274	C₂²×C₅	—	4	1	no	—
1275	C₂²×C₅	—	4	1	no	—
1276	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1277	C₂×D₅	—	2	1	no	—
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	2	1	no	—
1280	C₂×D₅	—	2	1	no	—
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	4	1	no	—
1283	C₂×D₅	—	4	1	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	8	2	no	—
1286	C₂×D₅	#532	1	2	yes	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	2	1	no	—
1289	C₄×C₅	—	2	1	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	—	4	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	—	4	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1300	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1301	Dic₅	—	2	1	no	—
1302	Dic₅	—	2	1	no	—
1303	Dic₅	—	2	1	no	—
1304	Dic₅	—	2	1	no	—
1305	Dic₅	—	2	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	Dic₅	—	4	1	no	—
1309	Dic₅	—	4	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	#532	1	2	yes	—
1314	C₂⁴	—	5	1	no	—
1315	#41	—	10	2	no	—
1316	#41	—	10	2	no	—
1317	#41	—	10	2	no	—
1318	#41	—	10	2	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	5	1	no	—
1321	C₂×Q₈	—	5	1	no	—
1322	C₂×Q₈	—	5	1	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	—	10	1	no	—
1325	C₂×Q₈	—	10	2	no	—
1326	C₂×Q₈	—	10	2	no	—
1327	C₂×Q₈	—	10	2	no	—
1328	C₂×Q₈	—	10	2	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1331	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1332	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1333	C₂×D₄	—	2	1	no	—
1334	C₂×D₄	—	5	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	1	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	5	1	no	—
1347	C₂²×C₄	—	5	1	no	—
1348	C₂²×C₄	—	5	1	no	—
1349	C₂²×C₄	—	5	1	no	—
1350	C₂²×C₄	—	5	1	no	—
1351	C₂²×C₄	—	5	1	no	—
1352	C₂²×C₄	—	5	1	no	—
1353	C₂²×C₄	—	10	2	no	—
1354	C₂²×C₄	—	10	2	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1365	Q₁₆	—	2	2	no	—
1366	Q₁₆	—	2	2	no	—
1367	Q₁₆	—	10	2	no	—
1368	Q₁₆	—	10	2	no	—
1369	Q₁₆	—	10	2	no	—
1370	Q₁₆	—	10	2	no	—
1371	Q₁₆	—	10	2	no	—
1372	Q₁₆	—	10	2	no	—
1373	SD₁₆	—	2	2	no	—
1374	SD₁₆	—	2	2	no	—
1375	SD₁₆	—	10	2	no	—
1376	SD₁₆	—	10	2	no	—
1377	SD₁₆	—	10	2	no	—
1378	SD₁₆	—	10	2	no	—
1379	SD₁₆	—	10	2	no	—
1380	SD₁₆	—	10	2	no	—
1381	M₁₆	—	2	2	no	—
1382	M₁₆	—	5	4	no	—
1383	M₁₆	—	5	4	no	—
1384	M₁₆	—	10	2	no	—
1385	M₁₆	—	10	2	no	—
1386	M₁₆	—	10	2	no	—
1387	M₁₆	—	10	2	no	—
1388	M₁₆	—	10	2	no	—
1389	C₂×C₈	—	2	2	no	—
1390	C₂×C₈	—	5	1	no	—
1391	C₂×C₈	—	5	1	no	—
1392	C₂×C₈	—	5	1	no	—
1393	C₂×C₈	—	5	1	no	—
1394	C₂×C₈	—	10	2	no	—
1395	C₂×C₈	—	10	2	no	—
1396	C₂×C₈	—	10	2	no	—
1397	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1398	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1399	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1400	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	5	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1462	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1463	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1464	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1465	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1466	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	5	1	no	—
1475	C₂²⋊C₄	—	5	1	no	—
1476	C₂²⋊C₄	—	5	1	no	—
1477	C₂²⋊C₄	—	5	1	no	—
1478	C₂²⋊C₄	—	5	1	no	—
1479	C₂²⋊C₄	—	5	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1500	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	5	1	no	—
1505	C₄²	—	5	1	no	—
1506	C₄²	—	5	1	no	—
1507	C₄²	—	5	1	no	—
1508	C₄²	—	5	1	no	—
1509	C₄²	—	5	1	no	—
1510	C₄²	—	10	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	C₂³×D₅	1	1	yes	characteristic
1522	C₄²	C₂³×D₅	1	1	yes	characteristic
1523	C₂×C₅	—	4	1	no	—
1524	C₂×C₅	—	8	1	no	—
1525	C₂×C₅	C₂×#532	1	1	yes	characteristic
1526	C₂×C₅	#3586	1	1	yes	characteristic
1527	C₂×C₅	#3586	1	1	yes	characteristic
1528	D₅	—	2	2	no	—
1529	D₅	—	4	1	no	—
1530	D₅	—	8	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	5	1	no	—
1533	C₂³	—	5	1	no	—
1534	C₂³	—	10	2	no	—
1535	C₂³	—	10	1	no	—
1536	C₂³	—	20	1	no	—
1537	C₂³	—	20	1	no	—
1538	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	8	1	no	—
1546	Q₈	—	10	1	no	—
1547	Q₈	—	10	1	no	—
1548	Q₈	—	10	1	no	—
1549	Q₈	—	10	1	no	—
1550	Q₈	—	10	1	no	—
1551	Q₈	—	10	1	no	—
1552	Q₈	—	20	2	no	—
1553	Q₈	—	20	2	no	—
1554	Q₈	—	40	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	8	1	no	—
1558	D₄	—	10	1	no	—
1559	D₄	—	10	1	no	—
1560	D₄	—	20	2	no	—
1561	D₄	—	20	2	no	—
1562	D₄	—	40	1	no	—
1563	D₄	—	40	1	no	—
1564	D₄	—	40	1	no	—
1565	D₄	—	40	1	no	—
1566	D₄	—	40	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	5	1	no	—
1577	C₂×C₄	—	5	2	no	—
1578	C₂×C₄	—	5	2	no	—
1579	C₂×C₄	—	5	1	no	—
1580	C₂×C₄	—	5	1	no	—
1581	C₂×C₄	—	5	1	no	—
1582	C₂×C₄	—	5	1	no	—
1583	C₂×C₄	—	5	1	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	10	2	no	—
1586	C₂×C₄	—	10	2	no	—
1587	C₂×C₄	—	10	2	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	10	1	no	—
1591	C₂×C₄	—	10	1	no	—
1592	C₂×C₄	—	10	1	no	—
1593	C₂×C₄	—	10	1	no	—
1594	C₂×C₄	—	10	1	no	—
1595	C₂×C₄	—	10	1	no	—
1596	C₂×C₄	—	10	1	no	—
1597	C₂×C₄	—	20	1	no	—
1598	C₂×C₄	—	20	1	no	—
1599	C₂×C₄	—	20	1	no	—
1600	C₂×C₄	—	20	1	no	—
1601	C₂×C₄	—	20	2	no	—
1602	C₂×C₄	—	20	2	no	—
1603	C₂×C₄	—	20	2	no	—
1604	C₂×C₄	—	20	2	no	—
1605	C₂×C₄	—	20	2	no	—
1606	C₂×C₄	—	20	2	no	—
1607	C₂×C₄	—	40	1	no	—
1608	C₂×C₄	—	40	1	no	—
1609	C₂×C₄	—	40	1	no	—
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1613	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1614	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1615	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	5	2	no	—
1619	C₈	—	5	2	no	—
1620	C₈	—	10	1	no	—
1621	C₈	—	10	1	no	—
1622	C₈	D₅×#41	1	2	yes	—
1623	C₈	D₅×#41	1	2	yes	—
1624	C₅	#60705	1	1	yes	characteristic, complemented, Sylow
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	5	2	no	—
1632	C₂²	—	10	1	no	—
1633	C₂²	—	10	1	no	—
1634	C₂²	—	10	1	no	—
1635	C₂²	—	10	1	no	—
1636	C₂²	—	10	1	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	—	20	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	40	2	no	—
1641	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	5	2	no	—
1655	C₄	—	10	1	no	—
1656	C₄	—	10	1	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	20	1	no	—
1661	C₄	—	20	1	no	—
1662	C₄	—	20	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	C₂×D₅×#41	1	1	yes	characteristic
1668	C₄	C₂×D₅×#41	1	1	yes	characteristic
1669	C₂	—	4	1	no	—
1670	C₂	—	8	1	no	—
1671	C₂	—	10	2	no	—
1672	C₂	—	20	1	no	—
1673	C₂	—	40	1	no	—
1674	C₂	D₅×#532	1	1	yes	characteristic
1675	C₂	#10619109	1	1	yes	characteristic
1676	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×#3178	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618424	C₂
hypercenter	#3178	D₅
hypocenter	C₅	#60705
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3178

Complements

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

N	H ≅ G/N	type
2. D₅×#541	C₂	semidirect
3. C₅×#3178	C₂	semidirect
4. #10615189	C₂	semidirect
5. #10615176	C₂	semidirect
6. #10613708	C₂	semidirect
7. #10613691	C₂	semidirect
8. #10613601	C₂	semidirect
9. #10613593	C₂	semidirect
10. #10613372	C₂	semidirect
11. #10613360	C₂	semidirect
12. #10613331	C₂	semidirect
13. #10613325	C₂	semidirect
14. #10612635	C₂	semidirect
15. #10612621	C₂	semidirect
16. #10612537	C₂	semidirect
17. #10612517	C₂	semidirect
18. #10612490	C₂	semidirect
19. #10612474	C₂	semidirect
20. #10612389	C₂	semidirect
21. #10612366	C₂	semidirect
22. #10611560	C₂	semidirect
23. #10611555	C₂	semidirect
24. #10611505	C₂	semidirect
25. #10611498	C₂	semidirect
26. #10611459	C₂	semidirect
27. C₄×#4064	C₂	semidirect
28. #10611398	C₂	semidirect
29. C₄×#4061	C₂	semidirect
30. #10610301	C₂	semidirect
31. #10610279	C₂	semidirect
83. C₅×#501	C₂²	semidirect
84. C₅×#497	C₂²	semidirect
85. C₅×#488	C₂²	semidirect
86. C₅×#487	C₂²	semidirect
91. C₅×#441	C₂²	semidirect
92. C₅×#440	C₂²	semidirect
93. C₄×C₅×Q₁₆	C₂²	semidirect
94. C₄×C₅×SD₁₆	C₂²	semidirect
98. #65473	C₂²	semidirect
99. Q₁₆×Dic₅	C₂²	semidirect
100. #65470	C₂²	semidirect
101. #65470	C₂²	semidirect
102. #65464	C₂²	semidirect
103. #65464	C₂²	semidirect
106. #65453	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
114. #65382	C₂²	semidirect
115. #65375	C₂²	semidirect
116. #65370	C₂²	semidirect
117. #65369	C₂²	semidirect
118. #65357	C₂²	semidirect
119. #65354	C₂²	semidirect
120. #65349	C₂²	semidirect
121. #65345	C₂²	semidirect
130. #65319	C₂²	semidirect
131. #65319	C₂²	semidirect
132. C₄×#689	C₂²	semidirect
133. C₄×#689	C₂²	semidirect
134. #65315	C₂²	semidirect
135. C₄×#688	C₂²	semidirect
136. #65307	C₂²	semidirect
137. C₄×#687	C₂²	semidirect
139. #65178	C₂²	semidirect
144. #65167	C₂²	semidirect
145. #65167	C₂²	semidirect
146. #65162	C₂²	semidirect
151. #65147	C₂²	semidirect
152. #65147	C₂²	semidirect
153. #65142	C₂²	semidirect
154. #65141	C₂²	semidirect
155. #65106	C₂²	semidirect
168. #65086	C₂²	semidirect
169. #65086	C₂²	semidirect
170. #65086	C₂²	semidirect
171. #65086	C₂²	semidirect
172. #65086	C₂²	semidirect
173. #65086	C₂²	semidirect
174. #65079	C₂²	semidirect
175. #65079	C₂²	semidirect
176. #65078	C₂²	semidirect
177. #65078	C₂²	semidirect
178. #65077	C₂²	semidirect
183. #65053	C₂²	semidirect
184. #65053	C₂²	semidirect
185. #65047	C₂²	semidirect
186. #65046	C₂²	semidirect
187. #65005	C₂²	semidirect
188. #65004	C₂²	semidirect
189. #64999	C₂²	semidirect
194. #64991	C₂²	semidirect
195. C₄×Dic₂₀	C₂²	semidirect
196. #64986	C₂²	semidirect
197. C₄×#677	C₂²	semidirect
202. #64970	C₂²	semidirect
494. #3178	D₅	semidirect
779. #501	C₂×D₅	semidirect
787. #497	C₂×D₅	semidirect
803. #488	C₂×D₅	semidirect
807. #487	C₂×D₅	semidirect
847. #441	C₂×D₅	semidirect
855. #440	C₂×D₅	semidirect
863. C₄×Q₁₆	C₂×D₅	semidirect
871. C₄×SD₁₆	C₂×D₅	semidirect
1624. C₅	#60705	semidirect

Maximal subgroups

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

subgroup	index
#10618424	2
D₅×#541	2
C₅×#3178	2
#10615189	2
#10615176	2
#10613708	2
#10613691	2
#10613601	2
#10613593	2
#10613372	2
#10613360	2
#10613331	2
#10613325	2
#10612635	2
#10612621	2
#10612537	2
#10612517	2
#10612490	2
#10612474	2
#10612389	2
#10612366	2
#10611560	2
#10611555	2
#10611505	2
#10611498	2
#10611459	2
C₄×#4064	2
#10611398	2
C₄×#4061	2
#10610301	2
#10610279	2
#60705	5