Subgroups — #12978115

Order 1280.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618728	C₂	1	1	yes	maximal, characteristic
3	C₅×#3344	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615356	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615324	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613724	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613707	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613248	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613244	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613207	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613199	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613172	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613166	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613159	C₂	1	1	yes	maximal, characteristic, complemented
15	#10613158	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612987	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612961	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612761	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612743	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612635	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612632	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612490	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612484	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611576	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611560	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611214	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611203	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610969	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#428	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610855	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65150	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#554	C₂²	1	1	yes	characteristic
33	C₅×#552	C₂²	1	1	yes	characteristic
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
36	C₂²×#676	C₂²	1	1	yes	characteristic
37	#66064	C₂²	1	1	yes	characteristic
38	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
39	#66040	—	2	1	no	—
40	#66039	—	2	1	no	—
41	#66029	C₂²	1	1	yes	characteristic
42	#66027	—	2	1	no	—
43	#66025	—	2	1	no	—
44	#66024	—	2	1	no	—
45	#66022	C₂²	1	1	yes	characteristic
46	D₅×#125	—	2	1	no	—
47	#65988	—	2	1	no	—
48	#65983	—	2	1	no	—
49	#65975	C₂²	1	1	yes	characteristic
50	#65970	—	2	1	no	—
51	#65970	—	2	1	no	—
52	#65969	C₂²	1	1	yes	characteristic
53	#65969	C₂²	1	1	yes	characteristic
54	#65969	C₂²	1	1	yes	characteristic
55	#65961	C₂²	1	1	yes	characteristic
56	#65961	C₂²	1	1	yes	characteristic
57	D₅×C₂²⋊Q₈	—	2	1	no	—
58	D₅×C₂²⋊Q₈	—	2	1	no	—
59	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	#65915	C₂²	1	1	yes	characteristic
62	#65913	C₂²	1	1	yes	characteristic
63	C₄×#713	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
65	#65899	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₅	—	2	1	no	—
67	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
68	#65877	C₂²	1	1	yes	characteristic
69	#65873	—	2	1	no	—
70	#65866	C₂²	1	1	yes	characteristic
71	#65861	—	2	1	no	—
72	#65856	—	2	1	no	—
73	D₅×#117	C₂²	1	1	yes	characteristic
74	#65845	C₂²	1	1	yes	characteristic
75	#65845	C₂²	1	1	yes	characteristic
76	#65841	C₂²	1	1	yes	characteristic
77	C₂×#4038	C₂²	1	1	yes	characteristic
78	C₂×D₅×C₄⋊C₄	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×#484	C₂²	1	1	yes	characteristic, complemented
83	C₅×#483	C₂²	1	1	yes	characteristic, complemented
84	C₅×#483	C₂²	1	1	yes	characteristic, complemented
85	C₅×#479	C₂²	1	1	yes	characteristic, complemented
86	C₅×#475	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	C₂×C₅×#106	C₂²	1	1	yes	characteristic, complemented
93	#65478	C₂²	1	1	yes	characteristic, complemented
94	#65477	C₂²	1	1	yes	characteristic, complemented
95	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
96	#65423	C₂²	1	1	yes	characteristic, complemented
97	#65417	C₂²	1	1	yes	characteristic
98	#65410	C₂²	1	1	yes	characteristic, complemented
99	#65403	C₂²	1	1	yes	characteristic, complemented
100	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
101	C₂×#3950	C₂²	1	1	yes	characteristic, complemented
102	#65376	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	#65340	C₂²	1	1	yes	characteristic, complemented
108	#65338	C₂²	1	1	yes	characteristic, complemented
109	#65337	C₂²	1	1	yes	characteristic, complemented
110	#65334	C₂²	1	1	yes	characteristic, complemented
111	#65333	C₂²	1	1	yes	characteristic, complemented
112	#65333	C₂²	1	1	yes	characteristic, complemented
113	#65332	C₂²	1	1	yes	characteristic, complemented
114	#65319	C₂²	1	1	yes	characteristic, complemented
115	#65315	C₂²	1	1	yes	characteristic, complemented
116	#65311	C₂²	1	1	yes	characteristic, complemented
117	#65309	C₂²	1	1	yes	characteristic, complemented
118	#65300	C₂²	1	1	yes	characteristic
119	#65285	C₂²	1	1	yes	characteristic, complemented
120	#65284	C₂²	1	1	yes	characteristic, complemented
121	#65260	C₂²	1	1	yes	characteristic, complemented
122	#65257	C₂²	1	1	yes	characteristic, complemented
123	#65256	C₂²	1	1	yes	characteristic, complemented
124	#65253	C₂²	1	1	yes	characteristic, complemented
125	C₂×#3940	C₂²	1	1	yes	characteristic, complemented
126	C₂×#3939	C₂²	1	1	yes	characteristic, complemented
127	#65175	C₂²	1	1	yes	characteristic, complemented
128	#65173	C₂²	1	1	yes	characteristic, complemented
129	#65171	C₂²	1	1	yes	characteristic, complemented
130	#65171	C₂²	1	1	yes	characteristic, complemented
131	#65170	C₂²	1	1	yes	characteristic
132	#65170	C₂²	1	1	yes	characteristic
133	#65170	C₂²	1	1	yes	characteristic
134	D₅×#107	C₂²	1	1	yes	characteristic, complemented
135	D₅×#107	C₂²	1	1	yes	characteristic, complemented
136	#65164	C₂²	1	1	yes	characteristic, complemented
137	#65163	C₂²	1	1	yes	characteristic, complemented
138	#65163	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65156	C₂²	1	1	yes	characteristic, complemented
142	#65156	C₂²	1	1	yes	characteristic, complemented
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65152	C₂²	1	1	yes	characteristic, complemented
145	#65152	C₂²	1	1	yes	characteristic, complemented
146	#65151	C₂²	1	1	yes	characteristic, complemented
147	#65150	C₂²	1	1	yes	characteristic
148	#65150	C₂²	1	1	yes	characteristic
149	#65150	C₂²	1	1	yes	characteristic
150	#65150	C₂²	1	1	yes	characteristic
151	#65150	C₂²	1	1	yes	characteristic
152	#65150	C₂²	1	1	yes	characteristic
153	#65150	C₂²	1	1	yes	characteristic, complemented
154	#65150	C₂²	1	1	yes	characteristic, complemented
155	#65150	C₂²	1	1	yes	characteristic, complemented
156	#65150	C₂²	1	1	yes	characteristic, complemented
157	D₅×#106	C₂²	1	1	yes	characteristic, complemented
158	D₅×#106	C₂²	1	1	yes	characteristic, complemented
159	#65144	C₂²	1	1	yes	characteristic, complemented
160	#65144	C₂²	1	1	yes	characteristic, complemented
161	#65143	C₂²	1	1	yes	characteristic, complemented
162	#65141	C₂²	1	1	yes	characteristic, complemented
163	#65135	C₂²	1	1	yes	characteristic, complemented
164	#65126	C₂²	1	1	yes	characteristic
165	#65125	C₂²	1	1	yes	characteristic
166	#65118	C₂²	1	1	yes	characteristic, complemented
167	#65105	C₂²	1	1	yes	characteristic, complemented
168	#65103	C₂²	1	1	yes	characteristic, complemented
169	#65103	C₂²	1	1	yes	characteristic, complemented
170	#65102	C₂²	1	1	yes	characteristic, complemented
171	#65101	C₂²	1	1	yes	characteristic, complemented
172	#65098	C₂²	1	1	yes	characteristic, complemented
173	#65098	C₂²	1	1	yes	characteristic, complemented
174	#65098	C₂²	1	1	yes	characteristic, complemented
175	#65096	C₂²	1	1	yes	characteristic, complemented
176	#65094	C₂²	1	1	yes	characteristic, complemented
177	#65094	C₂²	1	1	yes	characteristic, complemented
178	#65094	C₂²	1	1	yes	characteristic, complemented
179	#65092	C₂²	1	1	yes	characteristic
180	#65092	C₂²	1	1	yes	characteristic
181	#65092	C₂²	1	1	yes	characteristic
182	#65091	C₂²	1	1	yes	characteristic
183	#65091	C₂²	1	1	yes	characteristic
184	#65091	C₂²	1	1	yes	characteristic
185	#65083	C₂²	1	1	yes	characteristic, complemented
186	#65083	C₂²	1	1	yes	characteristic, complemented
187	#65083	C₂²	1	1	yes	characteristic, complemented
188	#65080	C₂²	1	1	yes	characteristic, complemented
189	#65079	C₂²	1	1	yes	characteristic, complemented
190	#65077	C₂²	1	1	yes	characteristic, complemented
191	#65025	C₂²	1	1	yes	characteristic, complemented
192	#65024	C₂²	1	1	yes	characteristic, complemented
193	#65018	C₂²	1	1	yes	characteristic
194	#65015	C₂²	1	1	yes	characteristic
195	#65015	C₂²	1	1	yes	characteristic
196	#65014	C₂²	1	1	yes	characteristic
197	#65012	C₂²	1	1	yes	characteristic, complemented
198	#65011	C₂²	1	1	yes	characteristic, complemented
199	#64999	C₂²	1	1	yes	characteristic, complemented
200	#64996	C₂²	1	1	yes	characteristic
201	#64995	C₂²	1	1	yes	characteristic
202	#64991	C₂²	1	1	yes	characteristic, complemented
203	#61254	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅	D₄	1	1	yes	characteristic
208	C₂×#709	—	2	1	no	—
209	C₂²×C₄×D₅	—	2	1	no	—
210	C₂²×C₄×D₅	—	2	1	no	—
211	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
215	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#126	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	—	2	1	no	—
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#123	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	—	2	1	no	—
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₅×#117	—	2	1	no	—
233	C₅×#117	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	#4092	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	C₂×#689	C₂³	1	1	yes	characteristic
247	C₂×#688	C₂³	1	1	yes	characteristic
248	#4085	—	2	1	no	—
249	D₄×Dic₅	—	2	1	no	—
250	D₄×Dic₅	D₄	1	1	yes	characteristic
251	#4076	C₂³	1	1	yes	characteristic
252	#4076	C₂³	1	1	yes	characteristic
253	#4075	—	2	1	no	—
254	C₄×C₂²⋊D₅	—	2	1	no	—
255	C₄×C₂²⋊D₅	—	2	1	no	—
256	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
257	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
258	C₂×#685	—	2	1	no	—
259	#4072	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
263	#4070	—	2	1	no	—
264	#4070	—	2	1	no	—
265	#4070	C₂³	1	1	yes	characteristic
266	#4070	C₂³	1	1	yes	characteristic
267	C₂×#683	—	2	1	no	—
268	C₂×#683	—	2	1	no	—
269	C₂×C₄×Dic₅	—	2	1	no	—
270	C₂×#681	C₂³	1	1	yes	characteristic
271	C₂²×#168	C₂³	1	1	yes	characteristic
272	#4064	—	2	4	no	—
273	D₅×M₁₆	—	2	4	no	—
274	C₂×#677	C₂³	1	1	yes	characteristic
275	C₂×#676	—	2	4	no	—
276	C₂×#676	C₂³	1	1	yes	characteristic
277	C₂×#676	C₂³	1	1	yes	characteristic
278	C₂×#676	C₂³	1	1	yes	characteristic
279	C₂×#676	C₂³	1	1	yes	characteristic
280	C₂×#676	C₂³	1	1	yes	characteristic
281	C₂×#676	C₂³	1	1	yes	characteristic
282	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
283	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
284	#4044	—	2	1	no	—
285	#4044	—	2	1	no	—
286	#4044	—	2	1	no	—
287	#4043	—	2	1	no	—
288	#4043	—	2	1	no	—
289	#4043	—	2	1	no	—
290	#4043	C₂³	1	1	yes	characteristic
291	#4043	C₂³	1	1	yes	characteristic
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	—	2	1	no	—
301	#4041	—	2	1	no	—
302	#4041	C₂³	1	1	yes	characteristic
303	#4041	C₂³	1	1	yes	characteristic
304	#4040	—	2	1	no	—
305	#4040	—	2	1	no	—
306	#4040	—	2	1	no	—
307	#4040	—	2	1	no	—
308	#4040	—	2	1	no	—
309	#4039	—	2	1	no	—
310	#4039	—	2	1	no	—
311	#4039	—	2	1	no	—
312	#4039	—	2	1	no	—
313	#4039	—	2	1	no	—
314	#4039	D₄	1	1	yes	characteristic
315	#4039	C₂³	1	1	yes	characteristic
316	#4038	—	2	1	no	—
317	#4038	—	2	1	no	—
318	#4038	—	2	1	no	—
319	#4038	C₂³	1	1	yes	characteristic
320	#4038	C₂³	1	1	yes	characteristic
321	#4038	C₂³	1	1	yes	characteristic
322	#4038	C₂³	1	1	yes	characteristic
323	#4038	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	—	2	1	no	—
331	D₅×C₄⋊C₄	—	2	1	no	—
332	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
333	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
335	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
336	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
340	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
342	#4036	—	2	1	no	—
343	#4036	—	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	#4034	—	2	1	no	—
351	#4034	C₂³	1	1	yes	characteristic
352	#4034	C₂³	1	1	yes	characteristic
353	#4034	C₂³	1	1	yes	characteristic
354	#4034	C₂³	1	1	yes	characteristic
355	#4033	—	2	1	no	—
356	#4033	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	—	2	1	no	—
359	#4033	C₂³	1	1	yes	characteristic
360	#4031	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4030	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4028	—	2	1	no	—
365	#4028	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	#4027	D₄	1	1	yes	characteristic
373	#4027	D₄	1	1	yes	characteristic
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
378	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
379	#4025	—	2	1	no	—
380	#4024	—	2	1	no	—
381	#4024	—	2	1	no	—
382	#4024	—	2	1	no	—
383	#4024	—	2	1	no	—
384	#4024	—	2	1	no	—
385	#4024	—	2	1	no	—
386	#4024	—	2	1	no	—
387	#4023	—	2	1	no	—
388	#4022	—	2	1	no	—
389	#4021	—	2	1	no	—
390	C₄×D₂₀	—	2	1	no	—
391	C₄×D₂₀	—	2	1	no	—
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	C₄×D₂₀	C₂³	1	1	yes	characteristic
394	#4018	—	2	1	no	—
395	#4018	—	2	1	no	—
396	#4018	—	2	1	no	—
397	C₄²×D₅	—	2	1	no	—
398	C₄²×D₅	—	2	1	no	—
399	C₄²×D₅	—	2	1	no	—
400	C₄²×D₅	C₂³	1	1	yes	characteristic
401	#4016	—	2	1	no	—
402	#4016	C₂³	1	1	yes	characteristic
403	#4015	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	—	2	1	no	—
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×#106	C₂³	1	1	yes	characteristic
410	C₅×#106	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	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3952	C₂³	1	1	yes	characteristic
438	#3952	C₂³	1	1	yes	characteristic
439	#3952	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3950	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3949	C₂³	1	1	yes	characteristic
448	#3949	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	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	C₈×Dic₅	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	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	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3941	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	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#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	#3475	—	5	1	no	—
483	C₂×#554	—	5	1	no	—
484	#3357	—	5	1	no	—
485	#3357	—	5	1	no	—
486	#3356	—	5	1	no	—
487	#3356	—	5	1	no	—
488	#3346	—	5	1	no	—
489	#3346	—	5	1	no	—
490	#3346	—	5	1	no	—
491	#3346	—	5	1	no	—
492	#3344	—	5	1	no	—
493	#3344	—	5	1	no	—
494	#3344	—	5	1	no	—
495	#3344	D₅	1	1	yes	characteristic, complemented
496	#3338	—	5	1	no	—
497	#3338	—	5	1	no	—
498	#3335	—	5	1	no	—
499	#3335	—	5	1	no	—
500	#3165	—	5	1	no	—
501	#3095	—	5	1	no	—
502	#3095	—	5	1	no	—
503	#3092	—	5	1	no	—
504	#3092	—	5	1	no	—
505	#3079	—	5	1	no	—
506	#3078	—	5	1	no	—
507	#3056	—	5	1	no	—
508	#3056	—	5	1	no	—
509	C₄×#137	—	5	1	no	—
510	D₄×M₁₆	—	5	1	no	—
511	C₂×#428	—	5	1	no	—
512	C₂×#428	—	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	—	2	1	no	—
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₅	—	2	1	no	—
529	C₂²×Dic₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
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	—	8	2	no	—
538	D₄×D₅	—	2	4	no	—
539	#709	—	4	4	no	—
540	C₂×D₂₀	—	2	1	no	—
541	C₂×D₂₀	—	2	1	no	—
542	C₂×D₂₀	—	2	1	no	—
543	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
544	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
545	C₂×C₄×D₅	—	2	2	no	—
546	C₂×C₄×D₅	—	2	2	no	—
547	C₂×C₄×D₅	—	2	2	no	—
548	C₂×C₄×D₅	—	2	2	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	—	2	1	no	—
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	8	2	no	—
563	C₂×C₄×D₅	—	8	2	no	—
564	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	—	2	1	no	—
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	2	1	no	—
578	C₂×Dic₁₀	—	2	1	no	—
579	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
580	C₅×Q₁₆	—	2	2	no	—
581	C₅×M₁₆	—	2	2	no	—
582	C₂×C₅×C₈	—	2	2	no	—
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₄²×C₅	—	2	1	no	—
614	C₄²×C₅	—	2	1	no	—
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
621	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
622	#689	—	2	2	no	—
623	#688	—	2	2	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	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	C₂×D₄	1	1	yes	characteristic
642	#685	C₂×D₄	1	1	yes	characteristic
643	#685	C₂×D₄	1	1	yes	characteristic
644	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂⁴	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	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	#681	—	2	2	no	—
699	C₂×#168	—	2	2	no	—
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	#677	—	2	2	no	—
705	#676	—	2	2	no	—
706	#676	—	2	2	no	—
707	#676	—	2	2	no	—
708	#676	—	2	2	no	—
709	#676	—	2	2	no	—
710	#676	#41	1	4	yes	complemented
711	C₈×D₅	—	2	2	no	—
712	C₈×D₅	—	2	2	no	—
713	C₂×#137	—	5	1	no	—
714	C₂²×M₁₆	—	5	1	no	—
715	C₂²×M₁₆	—	5	1	no	—
716	#556	—	5	1	no	—
717	#555	—	5	1	no	—
718	#554	—	5	1	no	—
719	#554	—	5	1	no	—
720	#554	—	5	1	no	—
721	#554	—	5	1	no	—
722	#554	—	5	1	no	—
723	#554	—	5	1	no	—
724	#554	—	5	1	no	—
725	#554	—	5	1	no	—
726	#554	—	10	1	no	—
727	#554	—	10	1	no	—
728	#554	—	10	1	no	—
729	#554	—	10	1	no	—
730	#554	C₂×D₅	1	1	yes	characteristic
731	#553	—	5	1	no	—
732	#553	—	5	1	no	—
733	#552	—	5	1	no	—
734	#552	—	10	1	no	—
735	#552	C₂×D₅	1	1	yes	characteristic
736	#551	—	10	1	no	—
737	#551	—	10	1	no	—
738	#547	—	5	1	no	—
739	#546	—	10	1	no	—
740	#533	—	5	1	no	—
741	C₂×C₄⋊Q₈	—	5	1	no	—
742	#529	—	10	1	no	—
743	#529	—	10	1	no	—
744	#529	—	10	1	no	—
745	C₂×#125	—	10	1	no	—
746	#525	—	5	1	no	—
747	#525	—	5	1	no	—
748	C₂×C₂²⋊Q₈	—	5	1	no	—
749	C₂×C₂²⋊Q₈	—	5	1	no	—
750	C₂×C₂²⋊Q₈	—	10	1	no	—
751	C₂×C₂²⋊Q₈	—	10	1	no	—
752	C₄×#41	—	5	1	no	—
753	C₄×#41	—	10	1	no	—
754	C₂×C₄×Q₈	—	5	1	no	—
755	C₂×C₄×D₄	—	5	1	no	—
756	C₂×C₄×D₄	—	10	1	no	—
757	C₂×#117	—	5	1	no	—
758	C₂×#117	—	5	1	no	—
759	C₂²×C₄⋊C₄	—	5	1	no	—
760	C₂²×C₄⋊C₄	—	5	1	no	—
761	#501	—	5	1	no	—
762	#501	—	5	1	no	—
763	#501	—	5	1	no	—
764	#501	C₂×D₅	1	1	yes	characteristic, complemented
765	#500	—	5	1	no	—
766	#500	—	5	1	no	—
767	#498	—	5	1	no	—
768	#498	—	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	C₂×D₅	1	1	yes	characteristic, complemented
777	#484	—	5	1	no	—
778	#484	—	5	1	no	—
779	#484	—	5	1	no	—
780	#484	—	5	1	no	—
781	#484	—	5	1	no	—
782	#484	—	5	1	no	—
783	#484	—	5	1	no	—
784	#484	C₂×D₅	1	1	yes	characteristic, complemented
785	#483	—	5	1	no	—
786	#483	—	5	1	no	—
787	#483	—	5	1	no	—
788	#483	—	5	1	no	—
789	#483	—	5	1	no	—
790	#483	—	5	1	no	—
791	#483	C₂×D₅	1	1	yes	characteristic, complemented
792	#483	C₂×D₅	1	1	yes	characteristic, complemented
793	#481	—	5	1	no	—
794	#481	—	5	1	no	—
795	#481	—	5	1	no	—
796	#481	—	5	1	no	—
797	#480	—	5	1	no	—
798	#480	—	5	1	no	—
799	#480	—	5	1	no	—
800	#480	—	5	1	no	—
801	#479	—	5	1	no	—
802	#479	—	5	1	no	—
803	#479	—	5	1	no	—
804	#479	C₂×D₅	1	1	yes	characteristic, complemented
805	#477	—	5	1	no	—
806	#477	—	5	1	no	—
807	#477	—	5	1	no	—
808	#477	—	5	1	no	—
809	#476	—	5	1	no	—
810	#476	—	5	1	no	—
811	#475	—	5	1	no	—
812	#475	—	5	1	no	—
813	#475	—	5	1	no	—
814	#475	C₂×D₅	1	1	yes	characteristic, complemented
815	#474	—	5	1	no	—
816	#474	—	5	1	no	—
817	#470	—	5	1	no	—
818	#470	—	5	1	no	—
819	#470	—	5	1	no	—
820	#470	C₂×D₅	1	1	yes	characteristic, complemented
821	#468	—	5	1	no	—
822	#468	—	5	1	no	—
823	#468	—	5	1	no	—
824	#468	—	5	1	no	—
825	#467	—	5	1	no	—
826	#467	—	5	1	no	—
827	#467	—	5	1	no	—
828	#467	C₂×D₅	1	1	yes	characteristic, complemented
829	#465	—	5	1	no	—
830	#465	—	5	1	no	—
831	#465	—	5	1	no	—
832	#465	—	5	1	no	—
833	#441	—	5	1	no	—
834	#441	C₂×D₅	1	1	yes	characteristic, complemented
835	#440	—	5	1	no	—
836	#440	—	5	1	no	—
837	C₄×Q₁₆	—	5	1	no	—
838	C₄×Q₁₆	—	5	1	no	—
839	C₄×SD₁₆	—	5	1	no	—
840	C₄×SD₁₆	—	5	1	no	—
841	#436	—	5	1	no	—
842	#436	—	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	C₈×D₄	—	5	1	no	—
848	C₈×D₄	—	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	—	5	1	no	—
855	#428	—	5	1	no	—
856	#428	—	5	1	no	—
857	#428	—	5	1	no	—
858	#428	—	5	1	no	—
859	#428	—	5	1	no	—
860	#428	—	5	1	no	—
861	#428	—	5	1	no	—
862	#428	—	5	1	no	—
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	#428	C₂×D₅	1	1	yes	characteristic, complemented
866	C₂×#107	—	5	1	no	—
867	C₂×#107	—	5	1	no	—
868	C₂×#107	—	5	1	no	—
869	C₂×#107	—	5	1	no	—
870	C₂×#106	—	5	1	no	—
871	C₂×#106	—	5	1	no	—
872	C₂×#106	—	5	1	no	—
873	C₂×#106	C₂×D₅	1	1	yes	characteristic, complemented
874	#423	—	5	1	no	—
875	#419	—	5	1	no	—
876	#419	—	5	1	no	—
877	#419	—	5	1	no	—
878	#417	—	5	1	no	—
879	#417	—	5	1	no	—
880	#417	—	5	1	no	—
881	#407	—	5	1	no	—
882	#407	—	5	1	no	—
883	C₄×M₁₆	—	5	1	no	—
884	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
885	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
891	C₂²×D₅	—	4	1	no	—
892	C₂²×D₅	—	4	1	no	—
893	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
894	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
895	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	2	1	no	—
900	C₅×Q₈	—	8	1	no	—
901	C₅×D₄	—	2	2	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	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	4	2	no	—
915	C₂×C₄×C₅	—	8	1	no	—
916	C₂×C₄×C₅	—	8	1	no	—
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
922	C₂²⋊D₅	—	2	2	no	—
923	C₂²⋊D₅	—	4	2	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂²⋊D₅	#137	1	4	yes	complemented
926	C₂×Dic₅	—	2	2	no	—
927	C₂×Dic₅	—	2	2	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	8	1	no	—
936	C₂×Dic₅	—	8	1	no	—
937	C₂×Dic₅	—	8	1	no	—
938	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
943	D₂₀	—	2	2	no	—
944	D₂₀	—	2	1	no	—
945	D₂₀	—	2	1	no	—
946	D₂₀	—	4	2	no	—
947	D₂₀	—	4	2	no	—
948	D₂₀	—	8	1	no	—
949	C₄×D₅	—	2	2	no	—
950	C₄×D₅	—	2	2	no	—
951	C₄×D₅	—	2	1	no	—
952	C₄×D₅	—	2	1	no	—
953	C₄×D₅	—	2	1	no	—
954	C₄×D₅	—	2	1	no	—
955	C₄×D₅	—	2	2	no	—
956	C₄×D₅	—	2	2	no	—
957	C₄×D₅	—	2	2	no	—
958	C₄×D₅	—	4	1	no	—
959	C₄×D₅	—	4	2	no	—
960	C₄×D₅	—	4	2	no	—
961	C₄×D₅	—	4	2	no	—
962	C₄×D₅	—	4	2	no	—
963	C₄×D₅	—	4	2	no	—
964	C₄×D₅	—	4	2	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	C₂×#41	1	2	yes	—
973	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
974	Dic₁₀	—	2	1	no	—
975	Dic₁₀	—	2	1	no	—
976	Dic₁₀	—	4	2	no	—
977	Dic₁₀	—	4	2	no	—
978	Dic₁₀	—	8	1	no	—
979	Dic₁₀	—	8	1	no	—
980	Dic₁₀	—	8	1	no	—
981	Dic₁₀	—	8	1	no	—
982	C₅×C₈	—	2	1	no	—
983	C₅×C₈	—	2	1	no	—
984	C₅×C₈	—	2	1	no	—
985	C₅×C₈	C₂×#41	1	2	yes	—
986	#168	—	2	1	no	—
987	#168	—	2	1	no	—
988	#168	—	2	1	no	—
989	#168	C₂×#41	1	2	yes	—
990	C₂×#41	—	5	1	no	—
991	C₂×#41	—	10	1	no	—
992	C₂²×Q₈	—	5	1	no	—
993	C₂²×Q₈	—	10	1	no	—
994	C₂²×D₄	—	5	1	no	—
995	C₂³×C₄	—	5	1	no	—
996	C₂³×C₄	—	5	1	no	—
997	C₂³×C₄	—	10	1	no	—
998	C₂³×C₄	—	10	1	no	—
999	#137	—	10	4	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1002	C₂×SD₁₆	—	5	1	no	—
1003	C₂×SD₁₆	—	5	1	no	—
1004	C₂×M₁₆	—	5	1	no	—
1005	C₂×M₁₆	—	5	1	no	—
1006	C₂×M₁₆	—	5	1	no	—
1007	C₂×M₁₆	—	5	1	no	—
1008	C₂×M₁₆	—	5	1	no	—
1009	C₂×M₁₆	—	5	1	no	—
1010	C₂×M₁₆	—	5	1	no	—
1011	C₂×M₁₆	—	10	4	no	—
1012	C₂×M₁₆	—	10	4	no	—
1013	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1014	C₂²×C₈	—	5	1	no	—
1015	C₂²×C₈	—	5	1	no	—
1016	C₂²×C₈	—	5	1	no	—
1017	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1018	C₄⋊Q₈	—	5	1	no	—
1019	C₄⋊Q₈	—	5	1	no	—
1020	C₄⋊Q₈	—	5	1	no	—
1021	C₄⋊Q₈	—	5	1	no	—
1022	C₄⋊Q₈	—	5	1	no	—
1023	C₄⋊Q₈	—	10	1	no	—
1024	C₄⋊Q₈	—	10	1	no	—
1025	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1026	#126	—	2	1	no	—
1027	#126	—	10	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	—	10	1	no	—
1032	#125	—	2	1	no	—
1033	#125	—	2	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	—	10	1	no	—
1046	#124	—	10	1	no	—
1047	#124	—	10	1	no	—
1048	#123	—	2	1	no	—
1049	#123	—	10	1	no	—
1050	#123	—	10	1	no	—
1051	#123	—	10	1	no	—
1052	#123	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	C₂²⋊Q₈	—	2	1	no	—
1057	C₂²⋊Q₈	—	2	1	no	—
1058	C₂²⋊Q₈	—	5	1	no	—
1059	C₂²⋊Q₈	—	5	1	no	—
1060	C₂²⋊Q₈	—	5	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	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1090	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1091	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1092	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1093	#121	—	5	1	no	—
1094	#121	—	5	1	no	—
1095	#121	—	5	1	no	—
1096	#121	—	5	1	no	—
1097	#121	—	10	1	no	—
1098	#121	—	10	1	no	—
1099	#121	—	10	1	no	—
1100	#120	—	10	1	no	—
1101	#120	—	10	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	10	1	no	—
1107	C₄×Q₈	—	10	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1112	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1113	C₄×D₄	—	2	1	no	—
1114	C₄×D₄	—	5	1	no	—
1115	C₄×D₄	—	5	1	no	—
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	5	1	no	—
1118	C₄×D₄	—	5	1	no	—
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	10	1	no	—
1124	C₄×D₄	—	10	1	no	—
1125	C₄×D₄	—	10	1	no	—
1126	C₄×D₄	—	10	1	no	—
1127	C₄×D₄	—	10	1	no	—
1128	C₄×D₄	—	10	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	—	10	1	no	—
1135	C₄×D₄	—	10	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	—	10	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1140	#117	—	2	1	no	—
1141	#117	—	5	1	no	—
1142	#117	—	5	1	no	—
1143	#117	—	5	1	no	—
1144	#117	—	5	1	no	—
1145	#117	—	5	1	no	—
1146	#117	—	5	1	no	—
1147	#117	—	10	1	no	—
1148	#117	—	10	1	no	—
1149	#117	—	10	1	no	—
1150	#117	—	10	1	no	—
1151	#117	—	10	1	no	—
1152	#117	—	10	1	no	—
1153	#117	—	10	1	no	—
1154	#117	C₂²×D₅	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	—	5	1	no	—
1156	C₂×C₄⋊C₄	—	5	1	no	—
1157	C₂×C₄⋊C₄	—	5	1	no	—
1158	C₂×C₄⋊C₄	—	5	1	no	—
1159	C₂×C₄⋊C₄	—	5	1	no	—
1160	C₂×C₄⋊C₄	—	5	1	no	—
1161	C₂×C₄⋊C₄	—	5	1	no	—
1162	C₂×C₄⋊C₄	—	5	1	no	—
1163	C₂×C₄⋊C₄	—	5	1	no	—
1164	C₂×C₄⋊C₄	—	5	1	no	—
1165	C₂×C₄⋊C₄	—	5	1	no	—
1166	C₂×C₄⋊C₄	—	5	1	no	—
1167	C₂×C₄⋊C₄	—	5	1	no	—
1168	C₂×C₄⋊C₄	—	10	1	no	—
1169	C₂×C₄⋊C₄	—	10	1	no	—
1170	C₂×C₄⋊C₄	—	10	1	no	—
1171	C₂×C₄⋊C₄	—	10	1	no	—
1172	C₂×C₄⋊C₄	—	10	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄⋊C₄	—	10	1	no	—
1175	C₂×C₄⋊C₄	—	10	1	no	—
1176	C₂×C₄⋊C₄	—	10	1	no	—
1177	C₂×C₄⋊C₄	—	10	1	no	—
1178	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1179	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1180	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	—	5	1	no	—
1182	C₂×C₂²⋊C₄	—	5	1	no	—
1183	C₂×C₂²⋊C₄	—	10	1	no	—
1184	C₂×C₂²⋊C₄	—	10	1	no	—
1185	C₂×C₂²⋊C₄	—	10	1	no	—
1186	C₂×C₂²⋊C₄	—	10	1	no	—
1187	C₂×C₄²	—	5	1	no	—
1188	C₂×C₄²	—	10	1	no	—
1189	C₂×C₄²	—	10	1	no	—
1190	C₂×C₄²	—	10	1	no	—
1191	C₂×C₄²	—	10	1	no	—
1192	#107	—	5	1	no	—
1193	#107	—	5	1	no	—
1194	#107	—	5	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
1197	#107	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	—	5	1	no	—
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	—	5	1	no	—
1204	#107	—	5	1	no	—
1205	#107	—	5	1	no	—
1206	#107	—	5	1	no	—
1207	#107	C₂²×D₅	1	1	yes	characteristic
1208	#107	C₂²×D₅	1	1	yes	characteristic
1209	#107	C₂²×D₅	1	1	yes	characteristic
1210	#106	—	5	1	no	—
1211	#106	—	5	1	no	—
1212	#106	—	5	1	no	—
1213	#106	—	5	1	no	—
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	—	5	1	no	—
1221	#106	—	5	1	no	—
1222	#106	C₂²×D₅	1	1	yes	characteristic
1223	#106	C₂²×D₅	1	1	yes	characteristic
1224	#106	C₂²×D₅	1	1	yes	characteristic
1225	#106	C₂²×D₅	1	1	yes	characteristic
1226	#106	C₂²×D₅	1	1	yes	characteristic
1227	#106	C₂²×D₅	1	1	yes	characteristic
1228	C₄⋊C₈	—	5	1	no	—
1229	C₄⋊C₈	—	5	1	no	—
1230	C₄⋊C₈	—	5	1	no	—
1231	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#103	C₂²×D₅	1	1	yes	characteristic
1246	#103	C₂²×D₅	1	1	yes	characteristic
1247	#103	C₂²×D₅	1	1	yes	characteristic
1248	#103	C₂²×D₅	1	1	yes	characteristic
1249	#103	C₂²×D₅	1	1	yes	characteristic
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	—	5	1	no	—
1256	C₂²⋊C₈	—	5	1	no	—
1257	C₂²⋊C₈	—	5	1	no	—
1258	C₂²⋊C₈	—	5	1	no	—
1259	C₂²⋊C₈	—	5	1	no	—
1260	C₂²⋊C₈	—	5	1	no	—
1261	C₂²⋊C₈	—	5	1	no	—
1262	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1263	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1264	#97	—	5	1	no	—
1265	#97	C₂²×D₅	1	1	yes	characteristic
1266	C₄×C₈	—	5	1	no	—
1267	C₄×C₈	—	5	1	no	—
1268	C₂²×C₅	—	2	1	no	—
1269	C₂²×C₅	—	2	1	no	—
1270	C₂²×C₅	—	2	1	no	—
1271	C₂²×C₅	—	2	1	no	—
1272	C₂²×C₅	—	2	1	no	—
1273	C₂²×C₅	C₂×#137	1	2	yes	—
1274	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1275	C₂×D₅	—	2	1	no	—
1276	C₂×D₅	—	2	1	no	—
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	4	no	—
1283	C₂×D₅	—	4	4	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	4	1	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	#547	1	2	yes	—
1288	C₂×D₅	C₂×#137	1	2	yes	—
1289	C₄×C₅	—	2	1	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	2	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	—	4	1	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1302	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
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	#547	1	2	yes	—
1314	Dic₅	C₂×#137	1	2	yes	—
1315	C₂⁴	—	5	1	no	—
1316	C₂⁴	—	5	1	no	—
1317	#41	—	10	2	no	—
1318	#41	—	10	2	no	—
1319	#41	—	20	4	no	—
1320	C₂×Q₈	—	2	1	no	—
1321	C₂×Q₈	—	5	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	—	10	1	no	—
1325	C₂×Q₈	—	10	1	no	—
1326	C₂×Q₈	—	10	1	no	—
1327	C₂×Q₈	—	10	2	no	—
1328	C₂×Q₈	—	10	2	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	—	40	2	no	—
1331	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1332	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1333	C₂×D₄	—	5	1	no	—
1334	C₂×D₄	—	5	1	no	—
1335	C₂×D₄	—	5	1	no	—
1336	C₂×D₄	—	5	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	4	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	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	—	5	1	no	—
1354	C₂²×C₄	—	5	1	no	—
1355	C₂²×C₄	—	5	1	no	—
1356	C₂²×C₄	—	5	1	no	—
1357	C₂²×C₄	—	5	1	no	—
1358	C₂²×C₄	—	10	2	no	—
1359	C₂²×C₄	—	10	2	no	—
1360	C₂²×C₄	—	10	2	no	—
1361	C₂²×C₄	—	10	2	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	40	2	no	—
1379	C₂²×C₄	—	40	2	no	—
1380	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1381	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1382	Q₁₆	—	2	2	no	—
1383	Q₁₆	—	10	2	no	—
1384	SD₁₆	—	10	2	no	—
1385	SD₁₆	—	10	2	no	—
1386	M₁₆	—	2	2	no	—
1387	M₁₆	—	5	4	no	—
1388	M₁₆	—	10	2	no	—
1389	M₁₆	—	10	2	no	—
1390	M₁₆	—	10	2	no	—
1391	M₁₆	—	10	2	no	—
1392	M₁₆	—	10	2	no	—
1393	M₁₆	—	10	2	no	—
1394	C₂×C₈	—	2	2	no	—
1395	C₂×C₈	—	5	1	no	—
1396	C₂×C₈	—	5	1	no	—
1397	C₂×C₈	—	5	1	no	—
1398	C₂×C₈	—	5	1	no	—
1399	C₂×C₈	—	10	2	no	—
1400	C₂×C₈	—	10	2	no	—
1401	C₂×C₈	—	10	2	no	—
1402	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1403	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1404	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1405	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	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	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	5	1	no	—
1425	C₄⋊C₄	—	5	1	no	—
1426	C₄⋊C₄	—	5	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	D₄×D₅	1	1	yes	characteristic
1459	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1460	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1461	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1462	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1463	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1464	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	5	1	no	—
1471	C₂²⋊C₄	—	5	1	no	—
1472	C₂²⋊C₄	—	5	1	no	—
1473	C₂²⋊C₄	—	5	1	no	—
1474	C₂²⋊C₄	—	5	1	no	—
1475	C₂²⋊C₄	—	5	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1497	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	5	1	no	—
1502	C₄²	—	5	1	no	—
1503	C₄²	—	5	1	no	—
1504	C₄²	—	10	1	no	—
1505	C₄²	—	10	1	no	—
1506	C₄²	—	10	1	no	—
1507	C₄²	—	10	1	no	—
1508	C₄²	—	10	1	no	—
1509	C₄²	—	10	1	no	—
1510	C₄²	—	10	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	C₂³×D₅	1	1	yes	characteristic
1515	C₂×C₅	—	2	2	no	—
1516	C₂×C₅	—	4	1	no	—
1517	C₂×C₅	C₂×#547	1	1	yes	characteristic
1518	C₂×C₅	C₂²×#137	1	1	yes	characteristic
1519	C₂×C₅	#3585	1	1	yes	characteristic
1520	D₅	—	2	2	no	—
1521	D₅	—	2	2	no	—
1522	D₅	—	4	1	no	—
1523	D₅	—	8	1	no	—
1524	C₂³	—	5	1	no	—
1525	C₂³	—	5	1	no	—
1526	C₂³	—	5	1	no	—
1527	C₂³	—	10	2	no	—
1528	C₂³	—	10	2	no	—
1529	C₂³	—	10	2	no	—
1530	C₂³	—	10	2	no	—
1531	C₂³	—	10	1	no	—
1532	C₂³	—	20	1	no	—
1533	C₂³	—	20	1	no	—
1534	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1535	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1536	Q₈	—	2	1	no	—
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	2	1	no	—
1540	Q₈	—	8	1	no	—
1541	Q₈	—	10	1	no	—
1542	Q₈	—	10	1	no	—
1543	Q₈	—	20	2	no	—
1544	Q₈	—	20	2	no	—
1545	Q₈	—	40	1	no	—
1546	Q₈	—	40	1	no	—
1547	Q₈	—	40	1	no	—
1548	Q₈	—	40	1	no	—
1549	D₄	—	2	2	no	—
1550	D₄	—	5	4	no	—
1551	D₄	—	10	2	no	—
1552	D₄	—	10	2	no	—
1553	D₄	—	10	1	no	—
1554	D₄	—	10	1	no	—
1555	D₄	—	20	2	no	—
1556	D₄	—	20	2	no	—
1557	D₄	—	20	2	no	—
1558	D₄	—	40	1	no	—
1559	D₄	—	40	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	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	—	4	2	no	—
1573	C₂×C₄	—	5	1	no	—
1574	C₂×C₄	—	5	1	no	—
1575	C₂×C₄	—	5	2	no	—
1576	C₂×C₄	—	5	2	no	—
1577	C₂×C₄	—	5	1	no	—
1578	C₂×C₄	—	5	1	no	—
1579	C₂×C₄	—	5	1	no	—
1580	C₂×C₄	—	8	1	no	—
1581	C₂×C₄	—	8	1	no	—
1582	C₂×C₄	—	10	2	no	—
1583	C₂×C₄	—	10	2	no	—
1584	C₂×C₄	—	10	2	no	—
1585	C₂×C₄	—	10	2	no	—
1586	C₂×C₄	—	10	2	no	—
1587	C₂×C₄	—	10	2	no	—
1588	C₂×C₄	—	10	2	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	—	10	1	no	—
1598	C₂×C₄	—	10	1	no	—
1599	C₂×C₄	—	10	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	—	20	2	no	—
1608	C₂×C₄	—	40	1	no	—
1609	C₂×C₄	—	40	1	no	—
1610	C₂×C₄	—	40	1	no	—
1611	C₂×C₄	—	40	1	no	—
1612	C₂×C₄	—	40	1	no	—
1613	C₂×C₄	—	40	1	no	—
1614	C₂×C₄	—	40	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	—	40	1	no	—
1617	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1618	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1619	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1620	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1621	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1622	C₈	—	2	1	no	—
1623	C₈	—	2	1	no	—
1624	C₈	—	2	1	no	—
1625	C₈	—	5	2	no	—
1626	C₈	—	10	1	no	—
1627	C₈	—	10	1	no	—
1628	C₈	—	10	1	no	—
1629	C₈	D₅×#41	1	2	yes	—
1630	C₅	#61254	1	1	yes	characteristic, complemented, Sylow
1631	C₂²	—	2	1	no	—
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	5	2	no	—
1637	C₂²	—	5	2	no	—
1638	C₂²	—	10	1	no	—
1639	C₂²	—	10	1	no	—
1640	C₂²	—	10	1	no	—
1641	C₂²	—	10	1	no	—
1642	C₂²	—	10	1	no	—
1643	C₂²	—	10	1	no	—
1644	C₂²	—	10	1	no	—
1645	C₂²	—	20	4	no	—
1646	C₂²	—	20	4	no	—
1647	C₂²	—	20	1	no	—
1648	C₂²	—	20	1	no	—
1649	C₂²	—	20	1	no	—
1650	C₂²	D₅×#137	1	2	yes	—
1651	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	5	2	no	—
1665	C₄	—	5	2	no	—
1666	C₄	—	10	1	no	—
1667	C₄	—	10	1	no	—
1668	C₄	—	10	1	no	—
1669	C₄	—	20	1	no	—
1670	C₄	—	20	1	no	—
1671	C₄	—	20	1	no	—
1672	C₄	—	20	1	no	—
1673	C₄	—	20	1	no	—
1674	C₄	—	20	1	no	—
1675	C₄	—	20	1	no	—
1676	C₄	C₂×D₅×#41	1	1	yes	characteristic
1677	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1678	C₂	—	2	2	no	—
1679	C₂	—	4	1	no	—
1680	C₂	—	10	2	no	—
1681	C₂	—	10	2	no	—
1682	C₂	—	20	1	no	—
1683	C₂	—	40	1	no	—
1684	C₂	D₅×#547	1	1	yes	characteristic
1685	C₂	C₂×D₅×#137	1	1	yes	characteristic
1686	C₂	#10619108	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×#3344	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618728	C₂
hypercenter	#3344	D₅
hypocenter	C₅	#61254
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3344

Complements

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

N	H ≅ G/N	type
1. D₅×#554	C₂	semidirect
3. C₅×#3344	C₂	semidirect
4. #10615356	C₂	semidirect
5. #10615324	C₂	semidirect
6. #10613724	C₂	semidirect
7. #10613707	C₂	semidirect
8. #10613248	C₂	semidirect
9. #10613244	C₂	semidirect
10. #10613207	C₂	semidirect
11. #10613199	C₂	semidirect
12. #10613172	C₂	semidirect
13. #10613166	C₂	semidirect
14. #10613159	C₂	semidirect
15. #10613158	C₂	semidirect
16. #10612987	C₂	semidirect
17. #10612961	C₂	semidirect
18. #10612761	C₂	semidirect
19. #10612743	C₂	semidirect
20. #10612635	C₂	semidirect
21. #10612632	C₂	semidirect
22. #10612490	C₂	semidirect
23. #10612484	C₂	semidirect
24. #10611576	C₂	semidirect
25. #10611560	C₂	semidirect
26. #10611214	C₂	semidirect
27. #10611203	C₂	semidirect
28. #10610969	C₂	semidirect
29. D₅×#428	C₂	semidirect
30. #10610855	C₂	semidirect
31. C₂×#65150	C₂	semidirect
80. C₅×#501	C₂²	semidirect
81. C₅×#485	C₂²	semidirect
82. C₅×#484	C₂²	semidirect
83. C₅×#483	C₂²	semidirect
84. C₅×#483	C₂²	semidirect
85. C₅×#479	C₂²	semidirect
86. C₅×#475	C₂²	semidirect
87. C₅×#470	C₂²	semidirect
88. C₅×#467	C₂²	semidirect
89. C₅×#441	C₂²	semidirect
91. C₅×#428	C₂²	semidirect
92. C₂×C₅×#106	C₂²	semidirect
93. #65478	C₂²	semidirect
94. #65477	C₂²	semidirect
95. Q₁₆×Dic₅	C₂²	semidirect
96. #65423	C₂²	semidirect
98. #65410	C₂²	semidirect
99. #65403	C₂²	semidirect
101. C₂×#3950	C₂²	semidirect
102. #65376	C₂²	semidirect
103. #65369	C₂²	semidirect
104. #65354	C₂²	semidirect
105. #65352	C₂²	semidirect
106. #65341	C₂²	semidirect
107. #65340	C₂²	semidirect
108. #65338	C₂²	semidirect
109. #65337	C₂²	semidirect
110. #65334	C₂²	semidirect
111. #65333	C₂²	semidirect
112. #65333	C₂²	semidirect
113. #65332	C₂²	semidirect
114. #65319	C₂²	semidirect
115. #65315	C₂²	semidirect
116. #65311	C₂²	semidirect
117. #65309	C₂²	semidirect
119. #65285	C₂²	semidirect
120. #65284	C₂²	semidirect
121. #65260	C₂²	semidirect
122. #65257	C₂²	semidirect
123. #65256	C₂²	semidirect
124. #65253	C₂²	semidirect
125. C₂×#3940	C₂²	semidirect
126. C₂×#3939	C₂²	semidirect
127. #65175	C₂²	semidirect
128. #65173	C₂²	semidirect
129. #65171	C₂²	semidirect
130. #65171	C₂²	semidirect
134. D₅×#107	C₂²	semidirect
135. D₅×#107	C₂²	semidirect
136. #65164	C₂²	semidirect
137. #65163	C₂²	semidirect
138. #65163	C₂²	semidirect
139. #65159	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65156	C₂²	semidirect
142. #65156	C₂²	semidirect
143. #65153	C₂²	semidirect
144. #65152	C₂²	semidirect
145. #65152	C₂²	semidirect
146. #65151	C₂²	semidirect
153. #65150	C₂²	semidirect
154. #65150	C₂²	semidirect
155. #65150	C₂²	semidirect
156. #65150	C₂²	semidirect
157. D₅×#106	C₂²	semidirect
158. D₅×#106	C₂²	semidirect
159. #65144	C₂²	semidirect
160. #65144	C₂²	semidirect
161. #65143	C₂²	semidirect
162. #65141	C₂²	semidirect
163. #65135	C₂²	semidirect
166. #65118	C₂²	semidirect
167. #65105	C₂²	semidirect
168. #65103	C₂²	semidirect
169. #65103	C₂²	semidirect
170. #65102	C₂²	semidirect
171. #65101	C₂²	semidirect
172. #65098	C₂²	semidirect
173. #65098	C₂²	semidirect
174. #65098	C₂²	semidirect
175. #65096	C₂²	semidirect
176. #65094	C₂²	semidirect
177. #65094	C₂²	semidirect
178. #65094	C₂²	semidirect
185. #65083	C₂²	semidirect
186. #65083	C₂²	semidirect
187. #65083	C₂²	semidirect
188. #65080	C₂²	semidirect
189. #65079	C₂²	semidirect
190. #65077	C₂²	semidirect
191. #65025	C₂²	semidirect
192. #65024	C₂²	semidirect
197. #65012	C₂²	semidirect
198. #65011	C₂²	semidirect
199. #64999	C₂²	semidirect
202. #64991	C₂²	semidirect
495. #3344	D₅	semidirect
710. #676	#41	semidirect
764. #501	C₂×D₅	semidirect
776. #485	C₂×D₅	semidirect
784. #484	C₂×D₅	semidirect
791. #483	C₂×D₅	semidirect
792. #483	C₂×D₅	semidirect
804. #479	C₂×D₅	semidirect
814. #475	C₂×D₅	semidirect
820. #470	C₂×D₅	semidirect
828. #467	C₂×D₅	semidirect
834. #441	C₂×D₅	semidirect
865. #428	C₂×D₅	semidirect
873. C₂×#106	C₂×D₅	semidirect
925. C₂²⋊D₅	#137	semidirect
1630. C₅	#61254	semidirect

Maximal subgroups

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

subgroup	index
D₅×#554	2
#10618728	2
C₅×#3344	2
#10615356	2
#10615324	2
#10613724	2
#10613707	2
#10613248	2
#10613244	2
#10613207	2
#10613199	2
#10613172	2
#10613166	2
#10613159	2
#10613158	2
#10612987	2
#10612961	2
#10612761	2
#10612743	2
#10612635	2
#10612632	2
#10612490	2
#10612484	2
#10611576	2
#10611560	2
#10611214	2
#10611203	2
#10610969	2
D₅×#428	2
#10610855	2
C₂×#65150	2
#61254	5