Subgroups — D₅×#3349 #12977919

Order 1280.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#556	C₂	1	1	yes	maximal, characteristic
2	D₅×#552	C₂	1	1	yes	maximal, characteristic
3	C₅×#3349	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615391	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615326	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613727	C₂	1	1	yes	maximal, characteristic, complemented
7	D₅×#501	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613270	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613269	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#485	C₂	1	1	yes	maximal, characteristic, complemented
11	D₅×#485	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#485	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613239	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613210	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#484	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612988	C₂	1	1	yes	maximal, characteristic, complemented
17	D₅×#479	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612859	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#477	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612651	C₂	1	1	yes	maximal, characteristic, complemented
21	D₅×#470	C₂	1	1	yes	maximal, characteristic, complemented
22	D₅×#467	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612487	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611577	C₂	1	1	yes	maximal, characteristic, complemented
25	D₅×#441	C₂	1	1	yes	maximal, characteristic, complemented
26	D₅×#435	C₂	1	1	yes	maximal, characteristic
27	#10611206	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610960	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#428	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610925	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#427	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#556	C₂²	1	1	yes	characteristic
33	C₅×#552	C₂²	1	1	yes	characteristic
34	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
35	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
36	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
37	#66066	C₂²	1	1	yes	characteristic
38	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
39	#66042	—	2	1	no	—
40	D₅×#126	—	2	1	no	—
41	D₅×#126	—	2	1	no	—
42	D₅×#126	—	2	1	no	—
43	#66036	—	2	1	no	—
44	#66036	—	2	1	no	—
45	#66028	C₂²	1	1	yes	characteristic
46	#66027	—	2	1	no	—
47	D₅×#125	—	2	1	no	—
48	D₅×#125	C₂²	1	1	yes	characteristic
49	D₅×#124	—	2	1	no	—
50	#66005	—	2	1	no	—
51	D₅×#123	—	2	1	no	—
52	#65984	—	2	1	no	—
53	#65976	C₂²	1	1	yes	characteristic
54	#65975	C₂²	1	1	yes	characteristic
55	#65975	C₂²	1	1	yes	characteristic
56	#65973	C₂²	1	1	yes	characteristic
57	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	#65918	C₂²	1	1	yes	characteristic
62	#65915	C₂²	1	1	yes	characteristic
63	C₄×Q₈×D₅	—	2	1	no	—
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
66	#65902	—	2	1	no	—
67	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
68	#65876	C₂²	1	1	yes	characteristic
69	#65875	C₂²	1	1	yes	characteristic
70	#65867	C₂²	1	1	yes	characteristic
71	#65867	C₂²	1	1	yes	characteristic
72	#65865	—	2	1	no	—
73	#65863	C₂²	1	1	yes	characteristic
74	D₅×#117	—	2	1	no	—
75	D₅×#117	C₂²	1	1	yes	characteristic
76	D₅×#117	C₂²	1	1	yes	characteristic
77	D₅×#117	C₂²	1	1	yes	characteristic
78	#65847	C₂²	1	1	yes	characteristic
79	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
80	C₅×#501	C₂²	1	1	yes	characteristic, complemented
81	C₅×#485	C₂²	1	1	yes	characteristic, complemented
82	C₅×#485	C₂²	1	1	yes	characteristic, complemented
83	C₅×#485	C₂²	1	1	yes	characteristic, complemented
84	C₅×#484	C₂²	1	1	yes	characteristic, complemented
85	C₅×#479	C₂²	1	1	yes	characteristic, complemented
86	C₅×#477	C₂²	1	1	yes	characteristic, complemented
87	C₅×#470	C₂²	1	1	yes	characteristic, complemented
88	C₅×#467	C₂²	1	1	yes	characteristic, complemented
89	C₅×#441	C₂²	1	1	yes	characteristic, complemented
90	C₅×#435	C₂²	1	1	yes	characteristic
91	C₅×#428	C₂²	1	1	yes	characteristic, complemented
92	C₅×#427	C₂²	1	1	yes	characteristic, complemented
93	#65478	C₂²	1	1	yes	characteristic, complemented
94	#65477	C₂²	1	1	yes	characteristic, complemented
95	#65473	C₂²	1	1	yes	characteristic, complemented
96	#65426	C₂²	1	1	yes	characteristic, complemented
97	#65416	C₂²	1	1	yes	characteristic
98	#65410	C₂²	1	1	yes	characteristic, complemented
99	#65405	C₂²	1	1	yes	characteristic, complemented
100	#65400	C₂²	1	1	yes	characteristic
101	#65395	C₂²	1	1	yes	characteristic, complemented
102	#65380	C₂²	1	1	yes	characteristic, complemented
103	#65369	C₂²	1	1	yes	characteristic, complemented
104	#65354	C₂²	1	1	yes	characteristic, complemented
105	#65352	C₂²	1	1	yes	characteristic, complemented
106	#65341	C₂²	1	1	yes	characteristic, complemented
107	#65341	C₂²	1	1	yes	characteristic, complemented
108	#65340	C₂²	1	1	yes	characteristic, complemented
109	#65340	C₂²	1	1	yes	characteristic, complemented
110	#65334	C₂²	1	1	yes	characteristic, complemented
111	#65334	C₂²	1	1	yes	characteristic, complemented
112	#65334	C₂²	1	1	yes	characteristic, complemented
113	#65333	C₂²	1	1	yes	characteristic, complemented
114	#65319	C₂²	1	1	yes	characteristic, complemented
115	#65319	C₂²	1	1	yes	characteristic, complemented
116	#65311	C₂²	1	1	yes	characteristic, complemented
117	#65310	C₂²	1	1	yes	characteristic, complemented
118	#65300	C₂²	1	1	yes	characteristic
119	#65287	C₂²	1	1	yes	characteristic, complemented
120	#65287	C₂²	1	1	yes	characteristic, complemented
121	#65285	C₂²	1	1	yes	characteristic, complemented
122	#65285	C₂²	1	1	yes	characteristic, complemented
123	#65285	C₂²	1	1	yes	characteristic, complemented
124	#65284	C₂²	1	1	yes	characteristic, complemented
125	#65259	C₂²	1	1	yes	characteristic, complemented
126	#65253	C₂²	1	1	yes	characteristic, complemented
127	#65177	C₂²	1	1	yes	characteristic, complemented
128	#65177	C₂²	1	1	yes	characteristic, complemented
129	#65177	C₂²	1	1	yes	characteristic, complemented
130	#65176	C₂²	1	1	yes	characteristic, complemented
131	#65173	C₂²	1	1	yes	characteristic, complemented
132	#65173	C₂²	1	1	yes	characteristic, complemented
133	#65170	C₂²	1	1	yes	characteristic, complemented
134	#65170	C₂²	1	1	yes	characteristic, complemented
135	#65169	C₂²	1	1	yes	characteristic, complemented
136	#65169	C₂²	1	1	yes	characteristic, complemented
137	D₅×#107	C₂²	1	1	yes	characteristic
138	D₅×#107	C₂²	1	1	yes	characteristic
139	D₅×#107	C₂²	1	1	yes	characteristic
140	D₅×#107	C₂²	1	1	yes	characteristic
141	D₅×#107	C₂²	1	1	yes	characteristic
142	#65166	C₂²	1	1	yes	characteristic, complemented
143	#65165	C₂²	1	1	yes	characteristic, complemented
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65164	C₂²	1	1	yes	characteristic, complemented
146	#65164	C₂²	1	1	yes	characteristic, complemented
147	#65157	C₂²	1	1	yes	characteristic, complemented
148	#65156	C₂²	1	1	yes	characteristic, complemented
149	#65156	C₂²	1	1	yes	characteristic, complemented
150	#65156	C₂²	1	1	yes	characteristic, complemented
151	#65150	C₂²	1	1	yes	characteristic, complemented
152	#65150	C₂²	1	1	yes	characteristic, complemented
153	#65149	C₂²	1	1	yes	characteristic, complemented
154	#65149	C₂²	1	1	yes	characteristic, complemented
155	D₅×#106	C₂²	1	1	yes	characteristic
156	D₅×#106	C₂²	1	1	yes	characteristic
157	D₅×#106	C₂²	1	1	yes	characteristic
158	D₅×#106	C₂²	1	1	yes	characteristic
159	#65146	C₂²	1	1	yes	characteristic, complemented
160	#65145	C₂²	1	1	yes	characteristic, complemented
161	#65145	C₂²	1	1	yes	characteristic, complemented
162	#65142	C₂²	1	1	yes	characteristic, complemented
163	#65139	C₂²	1	1	yes	characteristic, complemented
164	#65125	C₂²	1	1	yes	characteristic
165	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
166	#65118	C₂²	1	1	yes	characteristic, complemented
167	#65105	C₂²	1	1	yes	characteristic, complemented
168	#65105	C₂²	1	1	yes	characteristic, complemented
169	#65104	C₂²	1	1	yes	characteristic, complemented
170	#65104	C₂²	1	1	yes	characteristic, complemented
171	#65104	C₂²	1	1	yes	characteristic, complemented
172	#65103	C₂²	1	1	yes	characteristic, complemented
173	#65103	C₂²	1	1	yes	characteristic, complemented
174	#65103	C₂²	1	1	yes	characteristic, complemented
175	#65102	C₂²	1	1	yes	characteristic, complemented
176	#65102	C₂²	1	1	yes	characteristic, complemented
177	#65098	C₂²	1	1	yes	characteristic, complemented
178	#65098	C₂²	1	1	yes	characteristic, complemented
179	D₅×#103	C₂²	1	1	yes	characteristic
180	D₅×#103	C₂²	1	1	yes	characteristic
181	D₅×#103	C₂²	1	1	yes	characteristic
182	D₅×#103	C₂²	1	1	yes	characteristic
183	D₅×#103	C₂²	1	1	yes	characteristic
184	D₅×#103	C₂²	1	1	yes	characteristic
185	#65088	C₂²	1	1	yes	characteristic, complemented
186	#65085	C₂²	1	1	yes	characteristic, complemented
187	#65083	C₂²	1	1	yes	characteristic, complemented
188	#65083	C₂²	1	1	yes	characteristic, complemented
189	#65078	C₂²	1	1	yes	characteristic, complemented
190	#65078	C₂²	1	1	yes	characteristic, complemented
191	#65019	C₂²	1	1	yes	characteristic
192	#65017	C₂²	1	1	yes	characteristic
193	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
194	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
195	#65012	C₂²	1	1	yes	characteristic, complemented
196	#65012	C₂²	1	1	yes	characteristic, complemented
197	#65012	C₂²	1	1	yes	characteristic, complemented
198	#65011	C₂²	1	1	yes	characteristic, complemented
199	#65005	C₂²	1	1	yes	characteristic, complemented
200	#64995	C₂²	1	1	yes	characteristic
201	D₅×#97	C₂²	1	1	yes	characteristic
202	#64991	C₂²	1	1	yes	characteristic, complemented
203	C₂×#3349	—	5	1	no	maximal, Sylow
204	C₂×Q₈×D₅	—	2	1	no	—
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅	D₄	1	1	yes	characteristic
208	C₂²×C₄×D₅	—	2	1	no	—
209	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
213	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×#126	—	2	1	no	—
216	C₅×#126	—	2	1	no	—
217	C₅×#126	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#124	—	2	1	no	—
221	C₅×#123	—	2	1	no	—
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	C₄×C₅×Q₈	—	2	1	no	—
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₅×#117	—	2	1	no	—
231	C₅×#117	C₂³	1	1	yes	characteristic
232	C₅×#117	C₂³	1	1	yes	characteristic
233	C₅×#117	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	#4093	—	2	1	no	—
236	#4092	C₂³	1	1	yes	characteristic
237	#4092	C₂³	1	1	yes	characteristic
238	#4092	C₂³	1	1	yes	characteristic
239	#4092	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	—	2	1	no	—
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	#4090	—	2	1	no	—
244	C₂×#689	C₂³	1	1	yes	characteristic
245	C₂×#689	C₂³	1	1	yes	characteristic
246	#4082	—	2	1	no	—
247	#4081	—	2	1	no	—
248	D₄×Dic₅	D₄	1	1	yes	characteristic
249	#4075	—	2	1	no	—
250	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
251	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
252	#4072	—	2	1	no	—
253	#4072	C₂³	1	1	yes	characteristic
254	#4072	C₂³	1	1	yes	characteristic
255	#4072	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
257	#4070	C₂³	1	1	yes	characteristic
258	#4070	C₂³	1	1	yes	characteristic
259	#4070	C₂³	1	1	yes	characteristic
260	#4070	C₂³	1	1	yes	characteristic
261	C₂×#683	—	2	1	no	—
262	C₂×#681	C₂³	1	1	yes	characteristic
263	C₂²×#168	C₂³	1	1	yes	characteristic
264	D₅×Q₁₆	—	2	4	no	—
265	D₅×M₁₆	—	2	4	no	—
266	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
267	C₂×#676	C₂³	1	1	yes	characteristic
268	C₂×#676	C₂³	1	1	yes	characteristic
269	C₂×C₈×D₅	—	2	4	no	—
270	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
271	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
272	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
273	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
274	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
276	#4044	—	2	1	no	—
277	#4044	—	2	1	no	—
278	#4044	—	2	1	no	—
279	#4044	—	2	1	no	—
280	#4044	—	2	1	no	—
281	#4044	—	2	1	no	—
282	#4044	—	2	1	no	—
283	#4044	—	2	1	no	—
284	#4044	—	2	1	no	—
285	#4043	C₂³	1	1	yes	characteristic
286	#4043	C₂³	1	1	yes	characteristic
287	#4043	C₂³	1	1	yes	characteristic
288	#4043	C₂³	1	1	yes	characteristic
289	#4042	—	2	1	no	—
290	#4042	—	2	1	no	—
291	#4042	—	2	1	no	—
292	#4042	—	2	1	no	—
293	#4040	—	2	1	no	—
294	#4040	—	2	1	no	—
295	#4039	D₄	1	1	yes	characteristic
296	#4038	—	2	1	no	—
297	#4038	—	2	1	no	—
298	#4038	C₂³	1	1	yes	characteristic
299	#4038	C₂³	1	1	yes	characteristic
300	#4038	C₂³	1	1	yes	characteristic
301	#4038	C₂³	1	1	yes	characteristic
302	#4038	C₂³	1	1	yes	characteristic
303	#4038	C₂³	1	1	yes	characteristic
304	D₅×C₄⋊C₄	—	2	1	no	—
305	D₅×C₄⋊C₄	—	2	1	no	—
306	D₅×C₄⋊C₄	—	2	1	no	—
307	D₅×C₄⋊C₄	—	2	1	no	—
308	D₅×C₄⋊C₄	—	2	1	no	—
309	D₅×C₄⋊C₄	—	2	1	no	—
310	D₅×C₄⋊C₄	—	2	1	no	—
311	D₅×C₄⋊C₄	—	2	1	no	—
312	D₅×C₄⋊C₄	—	2	1	no	—
313	D₅×C₄⋊C₄	—	2	1	no	—
314	D₅×C₄⋊C₄	—	2	1	no	—
315	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
316	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	#4036	—	2	1	no	—
325	#4036	—	2	1	no	—
326	#4036	C₂³	1	1	yes	characteristic
327	#4036	C₂³	1	1	yes	characteristic
328	#4035	—	2	1	no	—
329	#4035	—	2	1	no	—
330	#4035	—	2	1	no	—
331	#4035	—	2	1	no	—
332	#4035	—	2	1	no	—
333	#4035	—	2	1	no	—
334	#4034	—	2	1	no	—
335	#4034	C₂³	1	1	yes	characteristic
336	#4034	C₂³	1	1	yes	characteristic
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	C₂³	1	1	yes	characteristic
343	#4033	C₂³	1	1	yes	characteristic
344	#4032	—	2	1	no	—
345	#4031	—	2	1	no	—
346	#4031	—	2	1	no	—
347	#4031	—	2	1	no	—
348	#4031	—	2	1	no	—
349	#4029	—	2	1	no	—
350	#4029	—	2	1	no	—
351	#4027	D₄	1	1	yes	characteristic
352	#4027	D₄	1	1	yes	characteristic
353	D₅×C₂²⋊C₄	—	2	1	no	—
354	D₅×C₂²⋊C₄	—	2	1	no	—
355	D₅×C₂²⋊C₄	—	2	1	no	—
356	D₅×C₂²⋊C₄	—	2	1	no	—
357	D₅×C₂²⋊C₄	—	2	1	no	—
358	D₅×C₂²⋊C₄	—	2	1	no	—
359	D₅×C₂²⋊C₄	—	2	1	no	—
360	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
361	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
362	#4025	—	2	1	no	—
363	#4025	—	2	1	no	—
364	#4025	—	2	1	no	—
365	#4025	—	2	1	no	—
366	#4025	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4025	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4023	—	2	1	no	—
376	#4023	—	2	1	no	—
377	#4023	—	2	1	no	—
378	#4023	—	2	1	no	—
379	#4023	—	2	1	no	—
380	#4022	—	2	1	no	—
381	#4022	—	2	1	no	—
382	#4022	—	2	1	no	—
383	#4021	—	2	1	no	—
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	#4018	—	2	1	no	—
386	#4018	—	2	1	no	—
387	#4018	—	2	1	no	—
388	#4018	—	2	1	no	—
389	#4018	—	2	1	no	—
390	C₄²×D₅	—	2	1	no	—
391	C₄²×D₅	—	2	1	no	—
392	C₄²×D₅	—	2	1	no	—
393	C₄²×D₅	—	2	1	no	—
394	C₄²×D₅	—	2	1	no	—
395	C₄²×D₅	C₂³	1	1	yes	characteristic
396	#4016	—	2	1	no	—
397	#4016	C₂³	1	1	yes	characteristic
398	#4015	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	—	2	1	no	—
400	C₄×Dic₁₀	—	2	1	no	—
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#107	C₂³	1	1	yes	characteristic
410	C₅×#107	C₂³	1	1	yes	characteristic
411	C₅×#106	C₂³	1	1	yes	characteristic
412	C₅×#106	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#97	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	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3952	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3950	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3949	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3942	C₂³	1	1	yes	characteristic
457	#3942	C₂³	1	1	yes	characteristic
458	#3942	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#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	#3939	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	C₂×#556	—	5	1	no	—
483	C₂×#552	—	5	1	no	—
484	#3349	—	5	1	no	—
485	#3349	—	5	1	no	—
486	#3349	—	5	1	no	—
487	#3349	—	5	1	no	—
488	#3349	—	5	1	no	—
489	#3349	—	5	1	no	—
490	#3349	—	5	1	no	—
491	#3349	—	5	1	no	—
492	#3349	—	5	1	no	—
493	#3349	—	5	1	no	—
494	#3349	—	5	1	no	—
495	#3349	—	5	1	no	—
496	#3349	—	5	1	no	—
497	#3349	—	5	1	no	—
498	#3349	—	5	1	no	—
499	#3349	D₅	1	1	yes	characteristic, direct product factor
500	C₂×#501	—	5	1	no	—
501	C₂×#484	—	5	1	no	—
502	C₂×#485	—	5	1	no	—
503	C₂×#485	—	5	1	no	—
504	C₂×#485	—	5	1	no	—
505	C₂×#479	—	5	1	no	—
506	C₂×#477	—	5	1	no	—
507	C₂×#470	—	5	1	no	—
508	C₂×#467	—	5	1	no	—
509	C₂×#441	—	5	1	no	—
510	C₂×#435	—	5	1	no	—
511	C₂×#428	—	5	1	no	—
512	C₂×#427	—	5	1	no	—
513	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
514	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
522	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
524	C₂²×Dic₅	—	2	1	no	—
525	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
526	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
527	Q₈×D₅	—	2	2	no	—
528	Q₈×D₅	—	2	2	no	—
529	Q₈×D₅	—	2	2	no	—
530	Q₈×D₅	—	2	2	no	—
531	Q₈×D₅	—	4	4	no	—
532	D₄×D₅	—	4	2	no	—
533	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
534	C₂×C₄×D₅	—	2	2	no	—
535	C₂×C₄×D₅	—	2	2	no	—
536	C₂×C₄×D₅	—	2	2	no	—
537	C₂×C₄×D₅	—	2	2	no	—
538	C₂×C₄×D₅	—	2	1	no	—
539	C₂×C₄×D₅	—	2	1	no	—
540	C₂×C₄×D₅	—	2	1	no	—
541	C₂×C₄×D₅	—	2	1	no	—
542	C₂×C₄×D₅	—	2	1	no	—
543	C₂×C₄×D₅	—	2	1	no	—
544	C₂×C₄×D₅	—	2	1	no	—
545	C₂×C₄×D₅	—	2	1	no	—
546	C₂×C₄×D₅	—	2	1	no	—
547	C₂×C₄×D₅	—	2	1	no	—
548	C₂×C₄×D₅	—	4	4	no	—
549	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
550	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
558	C₂×Dic₁₀	—	2	1	no	—
559	C₂×Dic₁₀	—	2	1	no	—
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
564	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
565	C₅×Q₁₆	—	2	2	no	—
566	C₅×M₁₆	—	2	2	no	—
567	C₂×C₅×C₈	—	2	2	no	—
568	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
572	C₅×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₅×C₂²⋊C₄	—	2	1	no	—
590	C₅×C₂²⋊C₄	—	2	1	no	—
591	C₅×C₂²⋊C₄	—	2	1	no	—
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₄²×C₅	—	2	1	no	—
599	C₄²×C₅	—	2	1	no	—
600	C₄²×C₅	—	2	1	no	—
601	C₄²×C₅	—	2	1	no	—
602	C₄²×C₅	—	2	1	no	—
603	C₄²×C₅	C₂⁴	1	1	yes	characteristic
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
612	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
613	#689	—	2	2	no	—
614	#689	—	2	2	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	C₂×D₄	1	1	yes	characteristic
630	#685	C₂×D₄	1	1	yes	characteristic
631	#685	C₂×D₄	1	1	yes	characteristic
632	#685	C₂×D₄	1	1	yes	characteristic
633	C₄⋊Dic₅	—	2	1	no	—
634	C₄⋊Dic₅	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	—	2	1	no	—
639	C₄⋊Dic₅	—	2	1	no	—
640	C₄⋊Dic₅	—	2	1	no	—
641	C₄⋊Dic₅	—	2	1	no	—
642	C₄⋊Dic₅	—	2	1	no	—
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	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
649	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
696	#681	—	2	2	no	—
697	C₂×#168	—	2	2	no	—
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	Dic₂₀	—	2	2	no	—
703	#676	—	2	2	no	—
704	#676	—	2	2	no	—
705	C₈×D₅	—	2	2	no	—
706	C₈×D₅	—	2	2	no	—
707	C₈×D₅	—	2	2	no	—
708	C₈×D₅	—	2	2	no	—
709	C₈×D₅	—	2	2	no	—
710	C₈×D₅	#41	1	4	yes	—
711	C₂²×Q₁₆	—	5	1	no	—
712	C₂²×M₁₆	—	5	1	no	—
713	C₂³×C₈	—	5	1	no	—
714	#556	—	5	1	no	—
715	#556	—	5	1	no	—
716	#556	—	5	1	no	—
717	#556	—	5	1	no	—
718	#556	—	5	1	no	—
719	#556	—	5	1	no	—
720	#556	—	5	1	no	—
721	#556	—	10	1	no	—
722	#556	—	10	1	no	—
723	#556	—	10	1	no	—
724	#556	—	10	1	no	—
725	#556	C₂×D₅	1	1	yes	characteristic
726	#552	—	5	1	no	—
727	#552	—	5	1	no	—
728	#552	—	5	1	no	—
729	#552	—	5	1	no	—
730	#552	—	5	1	no	—
731	#552	—	5	1	no	—
732	#552	—	5	1	no	—
733	#552	—	10	1	no	—
734	#552	—	10	1	no	—
735	#552	—	10	1	no	—
736	#552	—	10	1	no	—
737	#552	C₂×D₅	1	1	yes	characteristic
738	C₂×C₄⋊Q₈	—	5	1	no	—
739	C₂×#126	—	10	1	no	—
740	C₂×#126	—	10	1	no	—
741	C₂×#126	—	10	1	no	—
742	C₂×#125	—	5	1	no	—
743	C₂×#125	—	10	1	no	—
744	C₂×#124	—	10	1	no	—
745	C₂×#123	—	10	1	no	—
746	C₂×C₂²⋊Q₈	—	5	1	no	—
747	C₂×C₂²⋊Q₈	—	5	1	no	—
748	C₂×C₂²⋊Q₈	—	5	1	no	—
749	C₂×C₂²⋊Q₈	—	5	1	no	—
750	C₂×C₄×Q₈	—	5	1	no	—
751	C₂×C₄×Q₈	—	5	1	no	—
752	C₂×C₄×Q₈	—	10	1	no	—
753	C₂×C₄×D₄	—	5	1	no	—
754	C₂×#117	—	5	1	no	—
755	C₂×#117	—	5	1	no	—
756	C₂×#117	—	5	1	no	—
757	C₂×#117	—	10	1	no	—
758	C₂²×C₄⋊C₄	—	5	1	no	—
759	#501	—	5	1	no	—
760	#501	—	5	1	no	—
761	#501	—	5	1	no	—
762	#501	—	5	1	no	—
763	#501	—	5	1	no	—
764	#501	—	5	1	no	—
765	#501	—	5	1	no	—
766	#501	C₂×D₅	1	1	yes	characteristic, complemented
767	#485	—	5	1	no	—
768	#485	—	5	1	no	—
769	#485	—	5	1	no	—
770	#485	—	5	1	no	—
771	#485	—	5	1	no	—
772	#485	—	5	1	no	—
773	#485	—	5	1	no	—
774	#485	—	5	1	no	—
775	#485	—	5	1	no	—
776	#485	—	5	1	no	—
777	#485	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#485	—	5	1	no	—
785	#485	—	5	1	no	—
786	#485	—	5	1	no	—
787	#485	—	5	1	no	—
788	#485	C₂×D₅	1	1	yes	characteristic, complemented
789	#485	C₂×D₅	1	1	yes	characteristic, complemented
790	#485	C₂×D₅	1	1	yes	characteristic, complemented
791	#484	—	5	1	no	—
792	#484	—	5	1	no	—
793	#484	—	5	1	no	—
794	#484	—	5	1	no	—
795	#484	—	5	1	no	—
796	#484	—	5	1	no	—
797	#484	—	5	1	no	—
798	#484	C₂×D₅	1	1	yes	characteristic, complemented
799	#479	—	5	1	no	—
800	#479	—	5	1	no	—
801	#479	—	5	1	no	—
802	#479	—	5	1	no	—
803	#479	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	—	5	1	no	—
806	#479	C₂×D₅	1	1	yes	characteristic, complemented
807	#477	—	5	1	no	—
808	#477	—	5	1	no	—
809	#477	—	5	1	no	—
810	#477	—	5	1	no	—
811	#477	—	5	1	no	—
812	#477	—	5	1	no	—
813	#477	—	5	1	no	—
814	#477	C₂×D₅	1	1	yes	characteristic, complemented
815	#470	—	5	1	no	—
816	#470	—	5	1	no	—
817	#470	—	5	1	no	—
818	#470	—	5	1	no	—
819	#470	—	5	1	no	—
820	#470	—	5	1	no	—
821	#470	—	5	1	no	—
822	#470	C₂×D₅	1	1	yes	characteristic, complemented
823	#467	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
831	#441	—	5	1	no	—
832	#441	—	5	1	no	—
833	#441	—	5	1	no	—
834	#441	—	5	1	no	—
835	#441	—	5	1	no	—
836	#441	—	5	1	no	—
837	#441	—	5	1	no	—
838	#441	C₂×D₅	1	1	yes	characteristic, complemented
839	#435	—	5	1	no	—
840	#435	—	5	1	no	—
841	#435	—	5	1	no	—
842	#435	—	5	1	no	—
843	#435	—	5	1	no	—
844	#435	—	5	1	no	—
845	#435	—	5	1	no	—
846	#435	C₂×D₅	1	1	yes	characteristic
847	#428	—	5	1	no	—
848	#428	—	5	1	no	—
849	#428	—	5	1	no	—
850	#428	—	5	1	no	—
851	#428	—	5	1	no	—
852	#428	—	5	1	no	—
853	#428	—	5	1	no	—
854	#428	C₂×D₅	1	1	yes	characteristic, complemented
855	#427	—	5	1	no	—
856	#427	—	5	1	no	—
857	#427	—	5	1	no	—
858	#427	—	5	1	no	—
859	#427	—	5	1	no	—
860	#427	—	5	1	no	—
861	#427	—	5	1	no	—
862	#427	C₂×D₅	1	1	yes	characteristic, complemented
863	C₂×#107	—	5	1	no	—
864	C₂×#107	—	5	1	no	—
865	C₂×#107	—	5	1	no	—
866	C₂×#107	—	5	1	no	—
867	C₂×#107	—	5	1	no	—
868	C₂×#106	—	5	1	no	—
869	C₂×#106	—	5	1	no	—
870	C₂×#106	—	5	1	no	—
871	C₂×#106	—	5	1	no	—
872	C₂×C₄⋊C₈	—	5	1	no	—
873	C₂×#103	—	5	1	no	—
874	C₂×#103	—	5	1	no	—
875	C₂×#103	—	5	1	no	—
876	C₂×#103	—	5	1	no	—
877	C₂×#103	—	5	1	no	—
878	C₂×#103	—	5	1	no	—
879	C₂×C₂²⋊C₈	—	5	1	no	—
880	C₂×C₂²⋊C₈	—	5	1	no	—
881	C₂×#97	—	5	1	no	—
882	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
883	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
884	C₂²×D₅	—	2	2	no	—
885	C₂²×D₅	—	2	2	no	—
886	C₂²×D₅	—	2	2	no	—
887	C₂²×D₅	—	2	2	no	—
888	C₂²×D₅	—	2	2	no	—
889	C₂²×D₅	—	2	2	no	—
890	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
891	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
892	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
893	C₅×Q₈	—	2	1	no	—
894	C₅×Q₈	—	2	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	4	2	no	—
898	C₅×D₄	—	4	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	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	—	4	2	no	—
912	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
917	C₂²⋊D₅	—	4	1	no	—
918	C₂²⋊D₅	—	4	1	no	—
919	C₂×Dic₅	—	2	2	no	—
920	C₂×Dic₅	—	2	2	no	—
921	C₂×Dic₅	—	2	1	no	—
922	C₂×Dic₅	—	2	1	no	—
923	C₂×Dic₅	—	2	1	no	—
924	C₂×Dic₅	—	2	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	2	1	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	4	2	no	—
930	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
933	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
935	D₂₀	—	4	1	no	—
936	C₄×D₅	—	2	2	no	—
937	C₄×D₅	—	2	2	no	—
938	C₄×D₅	—	2	2	no	—
939	C₄×D₅	—	2	2	no	—
940	C₄×D₅	—	2	1	no	—
941	C₄×D₅	—	2	1	no	—
942	C₄×D₅	—	2	1	no	—
943	C₄×D₅	—	2	1	no	—
944	C₄×D₅	—	2	2	no	—
945	C₄×D₅	—	2	2	no	—
946	C₄×D₅	—	4	2	no	—
947	C₄×D₅	—	4	2	no	—
948	C₄×D₅	—	4	2	no	—
949	C₄×D₅	—	4	2	no	—
950	C₄×D₅	—	4	2	no	—
951	C₄×D₅	—	4	2	no	—
952	C₄×D₅	—	4	2	no	—
953	C₄×D₅	—	4	2	no	—
954	C₄×D₅	—	4	2	no	—
955	C₄×D₅	—	4	2	no	—
956	C₄×D₅	C₂×#41	1	2	yes	—
957	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
958	Dic₁₀	—	2	1	no	—
959	Dic₁₀	—	2	1	no	—
960	Dic₁₀	—	2	1	no	—
961	Dic₁₀	—	2	1	no	—
962	Dic₁₀	—	4	2	no	—
963	Dic₁₀	—	4	2	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	C₂×#41	1	2	yes	—
971	#168	—	2	1	no	—
972	#168	—	2	1	no	—
973	#168	—	2	1	no	—
974	#168	C₂×#41	1	2	yes	—
975	C₂²×Q₈	—	5	1	no	—
976	C₂²×Q₈	—	5	1	no	—
977	C₂²×Q₈	—	10	1	no	—
978	C₂²×D₄	—	5	1	no	—
979	C₂³×C₄	—	5	1	no	—
980	C₂³×C₄	—	5	1	no	—
981	C₂³×C₄	—	10	1	no	—
982	C₂×Q₁₆	—	5	1	no	—
983	C₂×Q₁₆	—	5	1	no	—
984	C₂×Q₁₆	—	5	1	no	—
985	C₂×Q₁₆	—	10	4	no	—
986	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
987	C₂×M₁₆	—	5	1	no	—
988	C₂×M₁₆	—	5	1	no	—
989	C₂×M₁₆	—	5	1	no	—
990	C₂×M₁₆	—	10	4	no	—
991	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
992	C₂²×C₈	—	5	1	no	—
993	C₂²×C₈	—	5	1	no	—
994	C₂²×C₈	—	5	1	no	—
995	C₂²×C₈	—	5	1	no	—
996	C₂²×C₈	—	5	1	no	—
997	C₂²×C₈	—	5	1	no	—
998	C₂²×C₈	—	5	1	no	—
999	C₂²×C₈	—	10	4	no	—
1000	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1001	C₄⋊Q₈	—	5	1	no	—
1002	C₄⋊Q₈	—	5	1	no	—
1003	C₄⋊Q₈	—	5	1	no	—
1004	C₄⋊Q₈	—	10	1	no	—
1005	C₄⋊Q₈	—	10	1	no	—
1006	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1007	#126	—	2	1	no	—
1008	#126	—	2	1	no	—
1009	#126	—	2	1	no	—
1010	#126	—	10	1	no	—
1011	#126	—	10	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	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#125	—	2	1	no	—
1032	#125	—	5	1	no	—
1033	#125	—	5	1	no	—
1034	#125	—	5	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	C₂²×D₅	1	1	yes	characteristic
1045	#124	—	2	1	no	—
1046	#124	—	10	1	no	—
1047	#124	—	10	1	no	—
1048	#124	—	10	1	no	—
1049	#124	—	10	1	no	—
1050	#124	—	10	1	no	—
1051	#124	—	10	1	no	—
1052	#124	—	10	1	no	—
1053	#123	—	2	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	#123	—	10	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	C₂²⋊Q₈	—	5	1	no	—
1062	C₂²⋊Q₈	—	5	1	no	—
1063	C₂²⋊Q₈	—	5	1	no	—
1064	C₂²⋊Q₈	—	5	1	no	—
1065	C₂²⋊Q₈	—	5	1	no	—
1066	C₂²⋊Q₈	—	5	1	no	—
1067	C₂²⋊Q₈	—	5	1	no	—
1068	C₂²⋊Q₈	—	5	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	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
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	C₄×Q₈	—	2	1	no	—
1086	C₄×Q₈	—	5	1	no	—
1087	C₄×Q₈	—	5	1	no	—
1088	C₄×Q₈	—	5	1	no	—
1089	C₄×Q₈	—	5	1	no	—
1090	C₄×Q₈	—	5	1	no	—
1091	C₄×Q₈	—	5	1	no	—
1092	C₄×Q₈	—	10	1	no	—
1093	C₄×Q₈	—	10	1	no	—
1094	C₄×Q₈	—	10	1	no	—
1095	C₄×Q₈	—	10	1	no	—
1096	C₄×Q₈	—	10	1	no	—
1097	C₄×Q₈	—	10	1	no	—
1098	C₄×Q₈	—	10	1	no	—
1099	C₄×Q₈	—	10	1	no	—
1100	C₄×Q₈	—	10	1	no	—
1101	C₄×Q₈	—	10	1	no	—
1102	C₄×Q₈	—	10	1	no	—
1103	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1104	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1105	C₄×D₄	—	5	1	no	—
1106	C₄×D₄	—	5	1	no	—
1107	C₄×D₄	—	5	1	no	—
1108	C₄×D₄	—	5	1	no	—
1109	C₄×D₄	—	5	1	no	—
1110	C₄×D₄	—	5	1	no	—
1111	C₄×D₄	—	5	1	no	—
1112	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1113	#117	—	2	1	no	—
1114	#117	—	5	1	no	—
1115	#117	—	5	1	no	—
1116	#117	—	5	1	no	—
1117	#117	—	5	1	no	—
1118	#117	—	5	1	no	—
1119	#117	—	5	1	no	—
1120	#117	—	5	1	no	—
1121	#117	—	5	1	no	—
1122	#117	—	5	1	no	—
1123	#117	—	10	1	no	—
1124	#117	—	10	1	no	—
1125	#117	—	10	1	no	—
1126	#117	—	10	1	no	—
1127	#117	—	10	1	no	—
1128	#117	—	10	1	no	—
1129	#117	—	10	1	no	—
1130	#117	—	10	1	no	—
1131	#117	—	10	1	no	—
1132	#117	—	10	1	no	—
1133	#117	—	10	1	no	—
1134	#117	—	10	1	no	—
1135	#117	—	10	1	no	—
1136	#117	C₂²×D₅	1	1	yes	characteristic
1137	#117	C₂²×D₅	1	1	yes	characteristic
1138	#117	C₂²×D₅	1	1	yes	characteristic
1139	C₂×C₄⋊C₄	—	5	1	no	—
1140	C₂×C₄⋊C₄	—	5	1	no	—
1141	C₂×C₄⋊C₄	—	5	1	no	—
1142	C₂×C₄⋊C₄	—	5	1	no	—
1143	C₂×C₄⋊C₄	—	5	1	no	—
1144	C₂×C₄⋊C₄	—	5	1	no	—
1145	C₂×C₄⋊C₄	—	5	1	no	—
1146	C₂×C₄⋊C₄	—	5	1	no	—
1147	C₂×C₄⋊C₄	—	5	1	no	—
1148	C₂×C₄⋊C₄	—	5	1	no	—
1149	C₂×C₄⋊C₄	—	10	1	no	—
1150	C₂×C₄⋊C₄	—	10	1	no	—
1151	C₂×C₄⋊C₄	—	10	1	no	—
1152	C₂×C₄⋊C₄	—	10	1	no	—
1153	C₂×C₄⋊C₄	—	10	1	no	—
1154	C₂×C₄⋊C₄	—	10	1	no	—
1155	C₂×C₄⋊C₄	—	10	1	no	—
1156	C₂×C₄⋊C₄	—	10	1	no	—
1157	C₂×C₄⋊C₄	—	10	1	no	—
1158	C₂×C₄⋊C₄	—	10	1	no	—
1159	C₂×C₄⋊C₄	—	10	1	no	—
1160	C₂×C₄⋊C₄	—	10	1	no	—
1161	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	—	5	1	no	—
1163	C₂×C₂²⋊C₄	—	5	1	no	—
1164	C₂×C₂²⋊C₄	—	10	1	no	—
1165	C₂×C₂²⋊C₄	—	10	1	no	—
1166	C₂×C₂²⋊C₄	—	10	1	no	—
1167	C₂×C₂²⋊C₄	—	10	1	no	—
1168	C₂×C₂²⋊C₄	—	10	1	no	—
1169	C₂×C₂²⋊C₄	—	10	1	no	—
1170	C₂×C₂²⋊C₄	—	10	1	no	—
1171	C₂×C₄²	—	5	1	no	—
1172	C₂×C₄²	—	10	1	no	—
1173	C₂×C₄²	—	10	1	no	—
1174	C₂×C₄²	—	10	1	no	—
1175	C₂×C₄²	—	10	1	no	—
1176	C₂×C₄²	—	10	1	no	—
1177	#107	—	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	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	—	5	1	no	—
1188	#107	—	5	1	no	—
1189	#107	—	5	1	no	—
1190	#107	—	5	1	no	—
1191	#107	—	5	1	no	—
1192	#107	C₂²×D₅	1	1	yes	characteristic
1193	#107	C₂²×D₅	1	1	yes	characteristic
1194	#107	C₂²×D₅	1	1	yes	characteristic
1195	#107	C₂²×D₅	1	1	yes	characteristic
1196	#107	C₂²×D₅	1	1	yes	characteristic
1197	#106	—	5	1	no	—
1198	#106	—	5	1	no	—
1199	#106	—	5	1	no	—
1200	#106	—	5	1	no	—
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	—	5	1	no	—
1204	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	#106	—	5	1	no	—
1207	#106	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	C₂²×D₅	1	1	yes	characteristic
1210	#106	C₂²×D₅	1	1	yes	characteristic
1211	#106	C₂²×D₅	1	1	yes	characteristic
1212	#106	C₂²×D₅	1	1	yes	characteristic
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#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	C₂²×D₅	1	1	yes	characteristic
1236	#103	C₂²×D₅	1	1	yes	characteristic
1237	#103	C₂²×D₅	1	1	yes	characteristic
1238	#103	C₂²×D₅	1	1	yes	characteristic
1239	#103	C₂²×D₅	1	1	yes	characteristic
1240	#103	C₂²×D₅	1	1	yes	characteristic
1241	C₂²⋊C₈	—	5	1	no	—
1242	C₂²⋊C₈	—	5	1	no	—
1243	C₂²⋊C₈	—	5	1	no	—
1244	C₂²⋊C₈	—	5	1	no	—
1245	C₂²⋊C₈	—	5	1	no	—
1246	C₂²⋊C₈	—	5	1	no	—
1247	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1248	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1249	#97	—	5	1	no	—
1250	#97	—	5	1	no	—
1251	#97	—	5	1	no	—
1252	#97	C₂²×D₅	1	1	yes	characteristic
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	C₂³×D₄	1	1	yes	characteristic
1260	C₂×D₅	—	2	1	no	—
1261	C₂×D₅	—	2	1	no	—
1262	C₂×D₅	—	2	1	no	—
1263	C₂×D₅	—	2	1	no	—
1264	C₂×D₅	—	2	1	no	—
1265	C₂×D₅	—	2	1	no	—
1266	C₂×D₅	—	4	4	no	—
1267	C₂×D₅	—	4	4	no	—
1268	C₂×D₅	#547	1	2	yes	—
1269	C₂×D₅	#575	1	2	yes	—
1270	C₂×D₅	#578	1	2	yes	—
1271	C₄×C₅	—	2	1	no	—
1272	C₄×C₅	—	2	1	no	—
1273	C₄×C₅	—	2	1	no	—
1274	C₄×C₅	—	2	1	no	—
1275	C₄×C₅	—	4	1	no	—
1276	C₄×C₅	—	4	1	no	—
1277	C₄×C₅	—	4	1	no	—
1278	C₄×C₅	—	4	1	no	—
1279	C₄×C₅	—	4	1	no	—
1280	C₄×C₅	—	4	1	no	—
1281	C₄×C₅	—	4	1	no	—
1282	C₄×C₅	—	4	1	no	—
1283	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1284	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1285	Dic₅	—	2	1	no	—
1286	Dic₅	—	2	1	no	—
1287	Dic₅	—	2	1	no	—
1288	Dic₅	—	2	1	no	—
1289	Dic₅	—	4	1	no	—
1290	Dic₅	—	4	1	no	—
1291	Dic₅	—	4	1	no	—
1292	Dic₅	—	4	1	no	—
1293	Dic₅	—	4	1	no	—
1294	Dic₅	—	4	1	no	—
1295	Dic₅	—	4	1	no	—
1296	Dic₅	—	4	1	no	—
1297	Dic₅	#547	1	2	yes	—
1298	C₂⁴	—	5	1	no	—
1299	C₂⁴	—	5	1	no	—
1300	C₂×Q₈	—	2	1	no	—
1301	C₂×Q₈	—	5	1	no	—
1302	C₂×Q₈	—	5	1	no	—
1303	C₂×Q₈	—	10	1	no	—
1304	C₂×Q₈	—	10	1	no	—
1305	C₂×Q₈	—	10	1	no	—
1306	C₂×Q₈	—	10	1	no	—
1307	C₂×Q₈	—	10	2	no	—
1308	C₂×Q₈	—	10	2	no	—
1309	C₂×Q₈	—	10	2	no	—
1310	C₂×Q₈	—	10	2	no	—
1311	C₂×Q₈	—	10	1	no	—
1312	C₂×Q₈	—	20	4	no	—
1313	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1314	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1315	C₂×D₄	—	5	1	no	—
1316	C₂×D₄	—	5	1	no	—
1317	C₂×D₄	—	5	1	no	—
1318	C₂×D₄	—	20	2	no	—
1319	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	5	1	no	—
1322	C₂²×C₄	—	5	1	no	—
1323	C₂²×C₄	—	5	1	no	—
1324	C₂²×C₄	—	5	1	no	—
1325	C₂²×C₄	—	5	1	no	—
1326	C₂²×C₄	—	5	1	no	—
1327	C₂²×C₄	—	5	1	no	—
1328	C₂²×C₄	—	5	1	no	—
1329	C₂²×C₄	—	5	1	no	—
1330	C₂²×C₄	—	5	1	no	—
1331	C₂²×C₄	—	5	1	no	—
1332	C₂²×C₄	—	10	2	no	—
1333	C₂²×C₄	—	10	2	no	—
1334	C₂²×C₄	—	10	2	no	—
1335	C₂²×C₄	—	10	2	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	—	10	1	no	—
1344	C₂²×C₄	—	10	1	no	—
1345	C₂²×C₄	—	10	1	no	—
1346	C₂²×C₄	—	10	1	no	—
1347	C₂²×C₄	—	20	4	no	—
1348	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1349	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1350	Q₁₆	—	2	2	no	—
1351	Q₁₆	—	10	2	no	—
1352	Q₁₆	—	10	2	no	—
1353	Q₁₆	—	10	2	no	—
1354	M₁₆	—	2	2	no	—
1355	M₁₆	—	10	2	no	—
1356	M₁₆	—	10	2	no	—
1357	M₁₆	—	10	2	no	—
1358	C₂×C₈	—	2	2	no	—
1359	C₂×C₈	—	5	1	no	—
1360	C₂×C₈	—	5	4	no	—
1361	C₂×C₈	—	5	1	no	—
1362	C₂×C₈	—	5	1	no	—
1363	C₂×C₈	—	5	1	no	—
1364	C₂×C₈	—	10	2	no	—
1365	C₂×C₈	—	10	2	no	—
1366	C₂×C₈	—	10	2	no	—
1367	C₂×C₈	—	10	2	no	—
1368	C₂×C₈	—	10	2	no	—
1369	C₂×C₈	—	10	2	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	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	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	—	5	1	no	—
1392	C₄⋊C₄	—	5	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	D₄×D₅	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1432	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1433	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1434	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1435	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
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	—	5	1	no	—
1444	C₂²⋊C₄	—	5	1	no	—
1445	C₂²⋊C₄	—	5	1	no	—
1446	C₂²⋊C₄	—	5	1	no	—
1447	C₂²⋊C₄	—	5	1	no	—
1448	C₂²⋊C₄	—	5	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	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	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1471	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	5	1	no	—
1478	C₄²	—	5	1	no	—
1479	C₄²	—	5	1	no	—
1480	C₄²	—	10	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	C₄²	—	10	1	no	—
1495	C₄²	C₂³×D₅	1	1	yes	characteristic
1496	C₂×C₅	—	4	1	no	—
1497	C₂×C₅	—	4	1	no	—
1498	C₂×C₅	C₂×#547	1	1	yes	characteristic
1499	C₂×C₅	C₂×#575	1	1	yes	characteristic
1500	C₂×C₅	C₂×#578	1	1	yes	characteristic
1501	D₅	—	4	1	no	—
1502	D₅	—	4	1	no	—
1503	D₅	#3349	1	4	yes	direct product factor
1504	C₂³	—	5	1	no	—
1505	C₂³	—	5	1	no	—
1506	C₂³	—	5	1	no	—
1507	C₂³	—	10	2	no	—
1508	C₂³	—	10	2	no	—
1509	C₂³	—	10	2	no	—
1510	C₂³	—	10	2	no	—
1511	C₂³	—	10	2	no	—
1512	C₂³	—	10	2	no	—
1513	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1514	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	4	2	no	—
1520	Q₈	—	10	1	no	—
1521	Q₈	—	10	1	no	—
1522	Q₈	—	10	1	no	—
1523	Q₈	—	10	1	no	—
1524	Q₈	—	20	2	no	—
1525	Q₈	—	20	2	no	—
1526	Q₈	—	20	2	no	—
1527	Q₈	—	20	2	no	—
1528	Q₈	—	20	2	no	—
1529	D₄	—	4	1	no	—
1530	D₄	—	20	1	no	—
1531	D₄	—	20	1	no	—
1532	D₄	—	20	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	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	—	4	2	no	—
1546	C₂×C₄	—	5	1	no	—
1547	C₂×C₄	—	5	2	no	—
1548	C₂×C₄	—	5	2	no	—
1549	C₂×C₄	—	5	1	no	—
1550	C₂×C₄	—	5	1	no	—
1551	C₂×C₄	—	5	1	no	—
1552	C₂×C₄	—	5	1	no	—
1553	C₂×C₄	—	10	2	no	—
1554	C₂×C₄	—	10	2	no	—
1555	C₂×C₄	—	10	2	no	—
1556	C₂×C₄	—	10	2	no	—
1557	C₂×C₄	—	10	2	no	—
1558	C₂×C₄	—	10	2	no	—
1559	C₂×C₄	—	10	2	no	—
1560	C₂×C₄	—	10	2	no	—
1561	C₂×C₄	—	10	1	no	—
1562	C₂×C₄	—	10	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	—	10	1	no	—
1571	C₂×C₄	—	10	1	no	—
1572	C₂×C₄	—	10	1	no	—
1573	C₂×C₄	—	20	2	no	—
1574	C₂×C₄	—	20	2	no	—
1575	C₂×C₄	—	20	2	no	—
1576	C₂×C₄	—	20	2	no	—
1577	C₂×C₄	—	20	2	no	—
1578	C₂×C₄	—	20	2	no	—
1579	C₂×C₄	—	20	2	no	—
1580	C₂×C₄	—	20	2	no	—
1581	C₂×C₄	—	20	2	no	—
1582	C₂×C₄	—	20	2	no	—
1583	C₂×C₄	—	20	2	no	—
1584	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1585	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1586	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1587	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1588	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	5	2	no	—
1593	C₈	—	10	1	no	—
1594	C₈	—	10	1	no	—
1595	C₈	—	10	1	no	—
1596	C₈	D₅×#41	1	2	yes	—
1597	C₅	C₂×#3349	1	1	yes	characteristic, complemented, Sylow
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	—	5	2	no	—
1605	C₂²	—	5	2	no	—
1606	C₂²	—	5	2	no	—
1607	C₂²	—	10	1	no	—
1608	C₂²	—	10	1	no	—
1609	C₂²	—	10	1	no	—
1610	C₂²	—	10	1	no	—
1611	C₂²	—	10	1	no	—
1612	C₂²	—	10	1	no	—
1613	C₂²	—	20	4	no	—
1614	C₂²	—	20	4	no	—
1615	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	—	4	1	no	—
1622	C₄	—	4	1	no	—
1623	C₄	—	4	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	5	2	no	—
1629	C₄	—	10	1	no	—
1630	C₄	—	10	1	no	—
1631	C₄	—	10	1	no	—
1632	C₄	—	10	1	no	—
1633	C₄	—	20	1	no	—
1634	C₄	—	20	1	no	—
1635	C₄	—	20	1	no	—
1636	C₄	—	20	1	no	—
1637	C₄	—	20	1	no	—
1638	C₄	—	20	1	no	—
1639	C₄	—	20	1	no	—
1640	C₄	—	20	1	no	—
1641	C₄	C₂×D₅×#41	1	1	yes	characteristic
1642	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1643	C₂	—	4	1	no	—
1644	C₂	—	4	1	no	—
1645	C₂	—	5	4	no	—
1646	C₂	—	20	1	no	—
1647	C₂	—	20	1	no	—
1648	C₂	D₅×#547	1	1	yes	characteristic
1649	C₂	D₅×#575	1	1	yes	characteristic
1650	C₂	D₅×#578	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×#3349	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	C₂×D₄×D₅	D₄
hypercenter	#3349	D₅
hypocenter	C₅	C₂×#3349
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3349

Complements

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

N	H ≅ G/N	type
3. C₅×#3349	C₂	semidirect
4. #10615391	C₂	semidirect
5. #10615326	C₂	semidirect
6. #10613727	C₂	semidirect
7. D₅×#501	C₂	semidirect
8. #10613270	C₂	semidirect
9. #10613269	C₂	semidirect
10. D₅×#485	C₂	semidirect
11. D₅×#485	C₂	semidirect
12. D₅×#485	C₂	semidirect
13. #10613239	C₂	semidirect
14. #10613210	C₂	semidirect
15. D₅×#484	C₂	semidirect
16. #10612988	C₂	semidirect
17. D₅×#479	C₂	semidirect
18. #10612859	C₂	semidirect
19. D₅×#477	C₂	semidirect
20. #10612651	C₂	semidirect
21. D₅×#470	C₂	semidirect
22. D₅×#467	C₂	semidirect
23. #10612487	C₂	semidirect
24. #10611577	C₂	semidirect
25. D₅×#441	C₂	semidirect
27. #10611206	C₂	semidirect
28. #10610960	C₂	semidirect
29. D₅×#428	C₂	semidirect
30. #10610925	C₂	semidirect
31. D₅×#427	C₂	semidirect
80. C₅×#501	C₂²	semidirect
81. C₅×#485	C₂²	semidirect
82. C₅×#485	C₂²	semidirect
83. C₅×#485	C₂²	semidirect
84. C₅×#484	C₂²	semidirect
85. C₅×#479	C₂²	semidirect
86. C₅×#477	C₂²	semidirect
87. C₅×#470	C₂²	semidirect
88. C₅×#467	C₂²	semidirect
89. C₅×#441	C₂²	semidirect
91. C₅×#428	C₂²	semidirect
92. C₅×#427	C₂²	semidirect
93. #65478	C₂²	semidirect
94. #65477	C₂²	semidirect
95. #65473	C₂²	semidirect
96. #65426	C₂²	semidirect
98. #65410	C₂²	semidirect
99. #65405	C₂²	semidirect
101. #65395	C₂²	semidirect
102. #65380	C₂²	semidirect
103. #65369	C₂²	semidirect
104. #65354	C₂²	semidirect
105. #65352	C₂²	semidirect
106. #65341	C₂²	semidirect
107. #65341	C₂²	semidirect
108. #65340	C₂²	semidirect
109. #65340	C₂²	semidirect
110. #65334	C₂²	semidirect
111. #65334	C₂²	semidirect
112. #65334	C₂²	semidirect
113. #65333	C₂²	semidirect
114. #65319	C₂²	semidirect
115. #65319	C₂²	semidirect
116. #65311	C₂²	semidirect
117. #65310	C₂²	semidirect
119. #65287	C₂²	semidirect
120. #65287	C₂²	semidirect
121. #65285	C₂²	semidirect
122. #65285	C₂²	semidirect
123. #65285	C₂²	semidirect
124. #65284	C₂²	semidirect
125. #65259	C₂²	semidirect
126. #65253	C₂²	semidirect
127. #65177	C₂²	semidirect
128. #65177	C₂²	semidirect
129. #65177	C₂²	semidirect
130. #65176	C₂²	semidirect
131. #65173	C₂²	semidirect
132. #65173	C₂²	semidirect
133. #65170	C₂²	semidirect
134. #65170	C₂²	semidirect
135. #65169	C₂²	semidirect
136. #65169	C₂²	semidirect
142. #65166	C₂²	semidirect
143. #65165	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65164	C₂²	semidirect
146. #65164	C₂²	semidirect
147. #65157	C₂²	semidirect
148. #65156	C₂²	semidirect
149. #65156	C₂²	semidirect
150. #65156	C₂²	semidirect
151. #65150	C₂²	semidirect
152. #65150	C₂²	semidirect
153. #65149	C₂²	semidirect
154. #65149	C₂²	semidirect
159. #65146	C₂²	semidirect
160. #65145	C₂²	semidirect
161. #65145	C₂²	semidirect
162. #65142	C₂²	semidirect
163. #65139	C₂²	semidirect
166. #65118	C₂²	semidirect
167. #65105	C₂²	semidirect
168. #65105	C₂²	semidirect
169. #65104	C₂²	semidirect
170. #65104	C₂²	semidirect
171. #65104	C₂²	semidirect
172. #65103	C₂²	semidirect
173. #65103	C₂²	semidirect
174. #65103	C₂²	semidirect
175. #65102	C₂²	semidirect
176. #65102	C₂²	semidirect
177. #65098	C₂²	semidirect
178. #65098	C₂²	semidirect
185. #65088	C₂²	semidirect
186. #65085	C₂²	semidirect
187. #65083	C₂²	semidirect
188. #65083	C₂²	semidirect
189. #65078	C₂²	semidirect
190. #65078	C₂²	semidirect
195. #65012	C₂²	semidirect
196. #65012	C₂²	semidirect
197. #65012	C₂²	semidirect
198. #65011	C₂²	semidirect
199. #65005	C₂²	semidirect
202. #64991	C₂²	semidirect
499. #3349	D₅	direct (N × H)
766. #501	C₂×D₅	semidirect
788. #485	C₂×D₅	semidirect
789. #485	C₂×D₅	semidirect
790. #485	C₂×D₅	semidirect
798. #484	C₂×D₅	semidirect
806. #479	C₂×D₅	semidirect
814. #477	C₂×D₅	semidirect
822. #470	C₂×D₅	semidirect
830. #467	C₂×D₅	semidirect
838. #441	C₂×D₅	semidirect
854. #428	C₂×D₅	semidirect
862. #427	C₂×D₅	semidirect
1503. D₅	#3349	direct (N × H)
1597. C₅	C₂×#3349	semidirect

Maximal subgroups

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

subgroup	index
D₅×#556	2
D₅×#552	2
C₅×#3349	2
#10615391	2
#10615326	2
#10613727	2
D₅×#501	2
#10613270	2
#10613269	2
D₅×#485	2
#10613239	2
#10613210	2
D₅×#484	2
#10612988	2
D₅×#479	2
#10612859	2
D₅×#477	2
#10612651	2
D₅×#470	2
D₅×#467	2
#10612487	2
#10611577	2
D₅×#441	2
D₅×#435	2
#10611206	2
#10610960	2
D₅×#428	2
#10610925	2
D₅×#427	2
C₂×#3349	5

Subgroups — D5×#3349 #12977919

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3349 #12977919