Subgroups — #12974188

Order 1280.

1788 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618270	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618220	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3198	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615156	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615117	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613234	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613229	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613090	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613085	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613050	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613043	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613007	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613003	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612589	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612579	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612529	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612515	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612437	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612432	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612377	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612369	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611872	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611868	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611809	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611809	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611804	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611803	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611728	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611724	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610404	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610380	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#537	C₂²	1	1	yes	characteristic
33	C₅×#535	C₂²	1	1	yes	characteristic
34	#66167	C₂²	1	1	yes	characteristic
35	#66166	C₂²	1	1	yes	characteristic, complemented
36	#66164	C₂²	1	1	yes	characteristic
37	#66161	C₂²	1	1	yes	characteristic, complemented
38	#41×Dic₅	C₂²	1	1	yes	characteristic
39	C₂×#4086	C₂²	1	1	yes	characteristic
40	#66132	C₂²	1	1	yes	characteristic
41	#66052	—	2	1	no	—
42	#66052	—	2	1	no	—
43	#66015	—	2	1	no	—
44	#66015	—	2	1	no	—
45	#65976	—	2	1	no	—
46	#65973	—	2	1	no	—
47	#65959	C₂²	1	1	yes	characteristic
48	#65959	C₂²	1	1	yes	characteristic, complemented
49	#65958	C₂²	1	1	yes	characteristic
50	#65958	C₂²	1	1	yes	characteristic, complemented
51	#65953	C₂²	1	1	yes	characteristic
52	#65953	C₂²	1	1	yes	characteristic
53	#65953	C₂²	1	1	yes	characteristic
54	#65953	C₂²	1	1	yes	characteristic
55	#65953	C₂²	1	1	yes	characteristic
56	#65953	C₂²	1	1	yes	characteristic, complemented
57	#65952	—	2	1	no	—
58	#65952	—	2	1	no	—
59	#65952	—	2	1	no	—
60	#65948	—	2	1	no	—
61	#65935	—	2	1	no	—
62	#65935	—	2	1	no	—
63	#65934	C₂²	1	1	yes	characteristic
64	#65934	C₂²	1	1	yes	characteristic, complemented
65	#65930	C₂²	1	1	yes	characteristic
66	#65930	C₂²	1	1	yes	characteristic
67	#65930	C₂²	1	1	yes	characteristic
68	#65930	C₂²	1	1	yes	characteristic
69	#65925	—	2	1	no	—
70	#65925	—	2	1	no	—
71	#65925	—	2	1	no	—
72	#65925	—	2	1	no	—
73	#65855	C₂²	1	1	yes	characteristic
74	#65851	C₂²	1	1	yes	characteristic
75	#65838	C₂²	1	1	yes	characteristic, complemented
76	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
77	C₅×#485	C₂²	1	1	yes	characteristic
78	C₅×#482	C₂²	1	1	yes	characteristic
79	C₅×#481	C₂²	1	1	yes	characteristic, complemented
80	C₅×#480	C₂²	1	1	yes	characteristic, complemented
81	C₅×#469	C₂²	1	1	yes	characteristic, complemented
82	C₅×#468	C₂²	1	1	yes	characteristic, complemented
83	C₅×#466	C₂²	1	1	yes	characteristic, complemented
84	C₅×#465	C₂²	1	1	yes	characteristic, complemented
85	C₅×#450	C₂²	1	1	yes	characteristic
86	C₅×#449	C₂²	1	1	yes	characteristic, complemented
87	C₅×#449	C₂²	1	1	yes	characteristic, complemented
88	C₅×#447	C₂²	1	1	yes	characteristic
89	C₅×#408	C₂²	1	1	yes	characteristic
90	#65527	C₂²	1	1	yes	characteristic, complemented
91	#65527	C₂²	1	1	yes	characteristic, complemented
92	#65523	C₂²	1	1	yes	characteristic
93	#65507	C₂²	1	1	yes	characteristic
94	#65506	C₂²	1	1	yes	characteristic
95	#65465	C₂²	1	1	yes	characteristic
96	#65465	C₂²	1	1	yes	characteristic
97	#65453	C₂²	1	1	yes	characteristic, complemented
98	#65452	C₂²	1	1	yes	characteristic
99	#65452	C₂²	1	1	yes	characteristic
100	#65451	C₂²	1	1	yes	characteristic, complemented
101	#65451	C₂²	1	1	yes	characteristic, complemented
102	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
103	#65443	C₂²	1	1	yes	characteristic
104	#65443	C₂²	1	1	yes	characteristic
105	#65441	C₂²	1	1	yes	characteristic, complemented
106	#65439	C₂²	1	1	yes	characteristic
107	#65439	C₂²	1	1	yes	characteristic
108	#65439	C₂²	1	1	yes	characteristic, complemented
109	#65439	C₂²	1	1	yes	characteristic, complemented
110	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
111	#65424	C₂²	1	1	yes	characteristic, complemented
112	#65423	C₂²	1	1	yes	characteristic, complemented
113	#65408	C₂²	1	1	yes	characteristic, complemented
114	M₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
115	#65404	C₂²	1	1	yes	characteristic, complemented
116	#65403	C₂²	1	1	yes	characteristic, complemented
117	#65391	C₂²	1	1	yes	characteristic, complemented
118	C₂×#3947	C₂²	1	1	yes	characteristic, complemented
119	#65338	C₂²	1	1	yes	characteristic, complemented
120	#65337	C₂²	1	1	yes	characteristic, complemented
121	#65335	C₂²	1	1	yes	characteristic
122	#65334	C₂²	1	1	yes	characteristic
123	#65331	C₂²	1	1	yes	characteristic, complemented
124	#65330	C₂²	1	1	yes	characteristic, complemented
125	#65328	C₂²	1	1	yes	characteristic, complemented
126	#65328	C₂²	1	1	yes	characteristic, complemented
127	#65327	C₂²	1	1	yes	characteristic, complemented
128	#65327	C₂²	1	1	yes	characteristic, complemented
129	#65326	C₂²	1	1	yes	characteristic, complemented
130	#65326	C₂²	1	1	yes	characteristic, complemented
131	#65325	C₂²	1	1	yes	characteristic
132	#65324	C₂²	1	1	yes	characteristic
133	#65323	C₂²	1	1	yes	characteristic, complemented
134	#65322	C₂²	1	1	yes	characteristic, complemented
135	#65292	C₂²	1	1	yes	characteristic
136	#65285	C₂²	1	1	yes	characteristic
137	#65257	C₂²	1	1	yes	characteristic, complemented
138	#65256	C₂²	1	1	yes	characteristic, complemented
139	#65180	C₂²	1	1	yes	characteristic, complemented
140	#65180	C₂²	1	1	yes	characteristic, complemented
141	#65180	C₂²	1	1	yes	characteristic, complemented
142	#65178	C₂²	1	1	yes	characteristic, complemented
143	#65166	C₂²	1	1	yes	characteristic, complemented
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65165	C₂²	1	1	yes	characteristic, complemented
146	#65161	C₂²	1	1	yes	characteristic, complemented
147	#65160	C₂²	1	1	yes	characteristic, complemented
148	#65160	C₂²	1	1	yes	characteristic, complemented
149	#65160	C₂²	1	1	yes	characteristic, complemented
150	#65158	C₂²	1	1	yes	characteristic, complemented
151	#65146	C₂²	1	1	yes	characteristic, complemented
152	#65145	C₂²	1	1	yes	characteristic, complemented
153	#65145	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65107	C₂²	1	1	yes	characteristic, complemented
156	#65107	C₂²	1	1	yes	characteristic, complemented
157	#65106	C₂²	1	1	yes	characteristic, complemented
158	#65088	C₂²	1	1	yes	characteristic, complemented
159	#65085	C₂²	1	1	yes	characteristic, complemented
160	#65084	C₂²	1	1	yes	characteristic, complemented
161	#65084	C₂²	1	1	yes	characteristic, complemented
162	#65077	C₂²	1	1	yes	characteristic, complemented
163	#65075	C₂²	1	1	yes	characteristic
164	#65075	C₂²	1	1	yes	characteristic
165	#65075	C₂²	1	1	yes	characteristic, complemented
166	#65075	C₂²	1	1	yes	characteristic, complemented
167	#65074	C₂²	1	1	yes	characteristic, complemented
168	#65074	C₂²	1	1	yes	characteristic, complemented
169	#65055	C₂²	1	1	yes	characteristic, complemented
170	#65055	C₂²	1	1	yes	characteristic, complemented
171	#65055	C₂²	1	1	yes	characteristic, complemented
172	#65054	C₂²	1	1	yes	characteristic, complemented
173	#65054	C₂²	1	1	yes	characteristic, complemented
174	#65053	C₂²	1	1	yes	characteristic
175	#65053	C₂²	1	1	yes	characteristic
176	#65053	C₂²	1	1	yes	characteristic
177	#65053	C₂²	1	1	yes	characteristic
178	#65052	C₂²	1	1	yes	characteristic, complemented
179	#65052	C₂²	1	1	yes	characteristic, complemented
180	#65052	C₂²	1	1	yes	characteristic, complemented
181	#65051	C₂²	1	1	yes	characteristic
182	#65051	C₂²	1	1	yes	characteristic
183	#65047	C₂²	1	1	yes	characteristic, complemented
184	#65046	C₂²	1	1	yes	characteristic, complemented
185	#65045	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic
188	#65025	C₂²	1	1	yes	characteristic, complemented
189	#65024	C₂²	1	1	yes	characteristic, complemented
190	#65023	C₂²	1	1	yes	characteristic, complemented
191	#65023	C₂²	1	1	yes	characteristic, complemented
192	#65021	C₂²	1	1	yes	characteristic
193	#65020	C₂²	1	1	yes	characteristic
194	#65012	C₂²	1	1	yes	characteristic
195	#65009	C₂²	1	1	yes	characteristic
196	#65009	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic, complemented
198	#65009	C₂²	1	1	yes	characteristic, complemented
199	#65008	C₂²	1	1	yes	characteristic
200	#65008	C₂²	1	1	yes	characteristic
201	#65008	C₂²	1	1	yes	characteristic, complemented
202	#65008	C₂²	1	1	yes	characteristic, complemented
203	#61019	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂×#711	—	2	1	no	—
210	C₂×#711	—	2	1	no	—
211	C₂×#711	—	2	1	no	—
212	C₂×#711	—	2	1	no	—
213	C₂×#709	C₂³	1	1	yes	characteristic
214	C₂²×D₂₀	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
218	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
219	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
220	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
221	C₅×#127	—	2	1	no	—
222	C₅×#124	—	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×#121	—	2	1	no	—
227	C₅×#121	—	2	1	no	—
228	C₅×#121	—	2	1	no	—
229	C₅×#121	C₂³	1	1	yes	characteristic
230	C₅×#121	C₂³	1	1	yes	characteristic
231	C₅×#121	C₂³	1	1	yes	characteristic
232	C₅×#121	C₂³	1	1	yes	characteristic
233	C₅×#121	C₂³	1	1	yes	characteristic
234	C₅×#121	C₂³	1	1	yes	characteristic
235	C₅×#120	—	2	1	no	—
236	C₅×#120	—	2	1	no	—
237	C₅×#117	C₂³	1	1	yes	characteristic
238	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₅	—	2	1	no	—
240	C₂×C₂²⋊Dic₅	—	2	1	no	—
241	#4093	—	2	1	no	—
242	#4093	C₂³	1	1	yes	characteristic
243	#4092	—	2	1	no	—
244	Q₈×Dic₅	D₄	1	1	yes	characteristic
245	Q₈×Dic₅	D₄	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	#4090	C₂³	1	1	yes	characteristic
249	C₂×#688	C₂³	1	1	yes	characteristic
250	C₂×#688	C₂³	1	1	yes	characteristic
251	#4086	—	2	1	no	—
252	#4086	—	2	1	no	—
253	#4086	—	2	1	no	—
254	#4086	C₂³	1	1	yes	characteristic
255	#4086	C₂³	1	1	yes	characteristic
256	#4086	C₂³	1	1	yes	characteristic
257	#4086	C₂³	1	1	yes	characteristic
258	#4086	C₂³	1	1	yes	characteristic
259	#4085	—	2	1	no	—
260	#4085	—	2	1	no	—
261	#4085	—	2	1	no	—
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4085	—	2	1	no	—
265	#4085	—	2	1	no	—
266	#4085	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4085	—	2	1	no	—
273	#4084	—	2	1	no	—
274	#4084	—	2	1	no	—
275	#4084	—	2	1	no	—
276	#4084	—	2	1	no	—
277	#4084	—	2	1	no	—
278	#4084	—	2	1	no	—
279	#4084	—	2	1	no	—
280	#4083	—	2	1	no	—
281	#4083	—	2	1	no	—
282	#4082	C₂³	1	1	yes	characteristic
283	#4081	—	2	1	no	—
284	#4081	—	2	1	no	—
285	D₄×Dic₅	—	2	1	no	—
286	D₄×Dic₅	—	2	1	no	—
287	D₄×Dic₅	—	2	1	no	—
288	D₄×Dic₅	—	2	1	no	—
289	D₄×Dic₅	—	2	1	no	—
290	D₄×Dic₅	—	2	1	no	—
291	D₄×Dic₅	D₄	1	1	yes	characteristic
292	D₄×Dic₅	D₄	1	1	yes	characteristic
293	D₄×Dic₅	D₄	1	1	yes	characteristic
294	D₄×Dic₅	D₄	1	1	yes	characteristic
295	D₄×Dic₅	D₄	1	1	yes	characteristic
296	D₄×Dic₅	D₄	1	1	yes	characteristic
297	D₄×Dic₅	C₂³	1	1	yes	characteristic
298	D₄×Dic₅	C₂³	1	1	yes	characteristic
299	D₄×Dic₅	C₂³	1	1	yes	characteristic
300	D₄×Dic₅	C₂³	1	1	yes	characteristic
301	D₄×Dic₅	C₂³	1	1	yes	characteristic
302	D₄×Dic₅	C₂³	1	1	yes	characteristic
303	C₂×#687	C₂³	1	1	yes	characteristic
304	C₂×#687	C₂³	1	1	yes	characteristic
305	C₂×#686	C₂³	1	1	yes	characteristic
306	C₂×#686	C₂³	1	1	yes	characteristic
307	C₂×#686	C₂³	1	1	yes	characteristic
308	C₂×#686	C₂³	1	1	yes	characteristic
309	#4076	C₂³	1	1	yes	characteristic
310	#4076	C₂³	1	1	yes	characteristic
311	#4076	C₂³	1	1	yes	characteristic
312	#4076	C₂³	1	1	yes	characteristic
313	#4076	C₂³	1	1	yes	characteristic
314	#4076	C₂³	1	1	yes	characteristic
315	C₄×C₂²⋊D₅	—	2	1	no	—
316	C₄×C₂²⋊D₅	—	2	1	no	—
317	C₄×C₂²⋊D₅	—	2	1	no	—
318	C₄×C₂²⋊D₅	—	2	1	no	—
319	#4072	—	2	1	no	—
320	#4072	C₂³	1	1	yes	characteristic
321	#4072	C₂³	1	1	yes	characteristic
322	#4072	C₂³	1	1	yes	characteristic
323	#4072	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊Dic₅	—	2	1	no	—
325	C₂×C₄⋊Dic₅	—	2	1	no	—
326	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
327	#4070	C₂³	1	1	yes	characteristic
328	#4070	C₂³	1	1	yes	characteristic
329	C₂×#683	—	2	1	no	—
330	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
331	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
332	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
333	C₂×#681	C₂³	1	1	yes	characteristic
334	C₂²×#168	C₂³	1	1	yes	characteristic
335	C₂×D₄₀	C₂³	1	1	yes	characteristic
336	C₂×D₄₀	C₂³	1	1	yes	characteristic
337	C₂×#677	C₂³	1	1	yes	characteristic
338	C₂×#677	C₂³	1	1	yes	characteristic
339	#4044	—	2	1	no	—
340	#4044	—	2	1	no	—
341	#4039	C₂³	1	1	yes	characteristic
342	#4039	C₂³	1	1	yes	characteristic
343	#4039	C₂³	1	1	yes	characteristic
344	#4039	C₂³	1	1	yes	characteristic
345	#4039	C₂³	1	1	yes	characteristic
346	#4039	C₂³	1	1	yes	characteristic
347	#4038	—	2	1	no	—
348	#4038	—	2	1	no	—
349	#4038	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	#4036	—	2	1	no	—
352	#4036	—	2	1	no	—
353	#4036	—	2	1	no	—
354	#4036	—	2	1	no	—
355	#4036	C₂³	1	1	yes	characteristic
356	#4036	C₂³	1	1	yes	characteristic
357	#4036	C₂³	1	1	yes	characteristic
358	#4036	C₂³	1	1	yes	characteristic
359	#4036	C₂³	1	1	yes	characteristic
360	#4036	C₂³	1	1	yes	characteristic
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4034	C₂³	1	1	yes	characteristic
364	#4034	C₂³	1	1	yes	characteristic
365	#4033	C₂³	1	1	yes	characteristic
366	#4033	C₂³	1	1	yes	characteristic
367	#4032	—	2	1	no	—
368	#4032	—	2	1	no	—
369	#4032	—	2	1	no	—
370	#4032	—	2	1	no	—
371	#4032	—	2	1	no	—
372	#4032	—	2	1	no	—
373	#4032	—	2	1	no	—
374	#4032	—	2	1	no	—
375	#4031	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4025	—	2	1	no	—
398	#4025	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4023	—	2	1	no	—
403	C₄×D₂₀	—	2	1	no	—
404	C₄×D₂₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#106	C₂³	1	1	yes	characteristic
410	C₅×#106	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	C₂²⋊#168	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3947	C₂³	1	1	yes	characteristic
448	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3947	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3512	—	5	1	no	—
480	#3508	—	5	1	no	—
481	#3260	—	5	1	no	—
482	#3260	—	5	1	no	—
483	#3259	—	5	1	no	—
484	#3259	—	5	1	no	—
485	#3240	—	5	1	no	—
486	#3240	—	5	1	no	—
487	#3234	—	5	1	no	—
488	#3234	—	5	1	no	—
489	#3217	—	5	1	no	—
490	#3217	—	5	1	no	—
491	#3214	—	5	1	no	—
492	#3214	—	5	1	no	—
493	#3198	—	5	1	no	—
494	#3198	—	5	1	no	—
495	#3198	—	5	1	no	—
496	#3198	D₅	1	1	yes	characteristic, complemented
497	#3180	—	5	1	no	—
498	#3180	—	5	1	no	—
499	#3171	—	5	1	no	—
500	#3171	—	5	1	no	—
501	#3123	—	5	1	no	—
502	#3123	—	5	1	no	—
503	#3122	—	5	1	no	—
504	#3122	—	5	1	no	—
505	#3119	—	5	1	no	—
506	#3119	—	5	1	no	—
507	#3119	—	5	1	no	—
508	#3119	—	5	1	no	—
509	#2923	—	5	1	no	—
510	C₂⁴×C₅	—	2	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₅×#41	—	4	1	no	—
513	C₅×#41	—	4	1	no	—
514	C₅×#41	—	4	1	no	—
515	C₅×#41	—	4	1	no	—
516	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	4	1	no	—
527	C₂×C₅×D₄	—	4	1	no	—
528	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
529	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
530	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
531	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	8	2	no	—
557	C₂×C₂²⋊D₅	—	8	2	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	C₂²×Dic₅	—	2	1	no	—
563	C₂²×Dic₅	—	2	1	no	—
564	C₂²×Dic₅	—	2	1	no	—
565	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
566	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
567	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
568	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
569	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
570	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
571	#711	—	8	2	no	—
572	#711	—	8	2	no	—
573	#711	—	8	2	no	—
574	#711	—	8	2	no	—
575	#709	—	4	1	no	—
576	#709	—	4	1	no	—
577	C₂×D₂₀	—	2	1	no	—
578	C₂×D₂₀	—	4	1	no	—
579	C₂×D₂₀	—	4	1	no	—
580	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
581	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
582	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₅	—	2	1	no	—
584	C₂×C₄×D₅	—	2	1	no	—
585	C₂×C₄×D₅	—	2	1	no	—
586	C₂×C₄×D₅	—	2	1	no	—
587	C₂×C₄×D₅	—	2	1	no	—
588	C₂×C₄×D₅	—	2	1	no	—
589	C₂×C₄×D₅	—	2	1	no	—
590	C₂×Dic₁₀	—	2	1	no	—
591	C₂×Dic₁₀	—	2	1	no	—
592	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
593	C₅×SD₁₆	—	4	1	no	—
594	C₅×SD₁₆	—	4	1	no	—
595	C₅×D₈	—	4	1	no	—
596	C₅×D₈	—	4	1	no	—
597	C₅×M₁₆	—	4	1	no	—
598	C₂×C₅×C₈	—	4	1	no	—
599	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
600	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
601	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
602	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₄²×C₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	—	2	1	no	—
628	C₂²⋊Dic₅	—	2	1	no	—
629	C₂²⋊Dic₅	—	2	1	no	—
630	C₂²⋊Dic₅	—	2	1	no	—
631	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
632	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
633	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
634	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
635	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
636	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
637	#688	—	4	1	no	—
638	#688	—	4	1	no	—
639	#687	—	4	1	no	—
640	#687	—	4	1	no	—
641	#686	—	4	1	no	—
642	#686	—	4	1	no	—
643	#686	—	4	1	no	—
644	#686	—	4	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
701	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
704	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
705	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	#681	—	4	1	no	—
708	C₂×#168	—	4	1	no	—
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	D₄₀	—	4	1	no	—
714	D₄₀	—	4	1	no	—
715	#677	—	4	1	no	—
716	#677	—	4	1	no	—
717	#559	—	10	1	no	—
718	#559	—	10	1	no	—
719	#553	—	10	1	no	—
720	#553	—	10	1	no	—
721	#553	—	10	1	no	—
722	#553	—	10	1	no	—
723	#553	—	10	1	no	—
724	#553	—	10	1	no	—
725	#552	—	10	1	no	—
726	#552	—	10	1	no	—
727	#550	—	10	1	no	—
728	#550	—	10	1	no	—
729	#546	—	10	1	no	—
730	#546	—	10	1	no	—
731	#546	—	10	1	no	—
732	#546	—	10	1	no	—
733	#541	—	5	1	no	—
734	#541	—	5	1	no	—
735	#540	—	5	1	no	—
736	#540	—	5	1	no	—
737	#540	—	5	1	no	—
738	#540	—	5	1	no	—
739	#540	—	5	1	no	—
740	#540	—	5	1	no	—
741	#537	—	5	1	no	—
742	#537	C₂×D₅	1	1	yes	characteristic
743	#535	—	5	1	no	—
744	#535	C₂×D₅	1	1	yes	characteristic
745	#533	—	5	1	no	—
746	#532	—	5	1	no	—
747	#532	—	5	1	no	—
748	#532	—	5	1	no	—
749	#532	—	5	1	no	—
750	#532	—	5	1	no	—
751	C₂×#127	—	5	1	no	—
752	#529	—	5	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	5	1	no	—
756	C₂×#125	—	5	1	no	—
757	#520	—	5	1	no	—
758	#520	—	5	1	no	—
759	#518	—	5	1	no	—
760	#518	—	5	1	no	—
761	C₄×#41	—	5	1	no	—
762	#501	—	5	1	no	—
763	#501	—	5	1	no	—
764	#501	—	5	1	no	—
765	#501	—	5	1	no	—
766	#496	—	5	1	no	—
767	#496	—	5	1	no	—
768	#496	—	5	1	no	—
769	#496	—	5	1	no	—
770	#490	—	5	1	no	—
771	#490	—	5	1	no	—
772	#490	—	5	1	no	—
773	#490	—	5	1	no	—
774	#489	—	5	1	no	—
775	#489	—	5	1	no	—
776	#489	—	5	1	no	—
777	#489	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	C₂×D₅	1	1	yes	characteristic
782	#482	—	5	1	no	—
783	#482	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	C₂×D₅	1	1	yes	characteristic
786	#481	—	5	1	no	—
787	#481	—	5	1	no	—
788	#481	—	5	1	no	—
789	#481	C₂×D₅	1	1	yes	characteristic, complemented
790	#480	—	5	1	no	—
791	#480	—	5	1	no	—
792	#480	—	5	1	no	—
793	#480	C₂×D₅	1	1	yes	characteristic, complemented
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	—	5	1	no	—
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#478	—	5	1	no	—
803	#478	—	5	1	no	—
804	#478	—	5	1	no	—
805	#478	—	5	1	no	—
806	#478	—	5	1	no	—
807	#478	—	5	1	no	—
808	#478	—	5	1	no	—
809	#478	—	5	1	no	—
810	#469	—	5	1	no	—
811	#469	—	5	1	no	—
812	#469	—	5	1	no	—
813	#469	C₂×D₅	1	1	yes	characteristic, complemented
814	#468	—	5	1	no	—
815	#468	—	5	1	no	—
816	#468	—	5	1	no	—
817	#468	C₂×D₅	1	1	yes	characteristic, complemented
818	#466	—	5	1	no	—
819	#466	—	5	1	no	—
820	#466	—	5	1	no	—
821	#466	C₂×D₅	1	1	yes	characteristic, complemented
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	C₂×D₅	1	1	yes	characteristic, complemented
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#461	—	5	1	no	—
829	#461	—	5	1	no	—
830	#460	—	5	1	no	—
831	#460	—	5	1	no	—
832	#460	—	5	1	no	—
833	#460	—	5	1	no	—
834	#459	—	5	1	no	—
835	#459	—	5	1	no	—
836	#459	—	5	1	no	—
837	#459	—	5	1	no	—
838	#459	—	5	1	no	—
839	#459	—	5	1	no	—
840	#459	—	5	1	no	—
841	#459	—	5	1	no	—
842	#450	—	5	1	no	—
843	#450	—	5	1	no	—
844	#450	—	5	1	no	—
845	#450	C₂×D₅	1	1	yes	characteristic
846	#449	—	5	1	no	—
847	#449	—	5	1	no	—
848	#449	—	5	1	no	—
849	#449	—	5	1	no	—
850	#449	—	5	1	no	—
851	#449	—	5	1	no	—
852	#449	C₂×D₅	1	1	yes	characteristic, complemented
853	#449	C₂×D₅	1	1	yes	characteristic, complemented
854	#447	—	5	1	no	—
855	#447	—	5	1	no	—
856	#447	—	5	1	no	—
857	#447	C₂×D₅	1	1	yes	characteristic
858	#442	—	5	1	no	—
859	#442	—	5	1	no	—
860	#442	—	5	1	no	—
861	#442	—	5	1	no	—
862	#440	—	5	1	no	—
863	#440	—	5	1	no	—
864	#440	—	5	1	no	—
865	#440	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	C₄×D₈	—	5	1	no	—
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#433	—	5	1	no	—
877	#433	—	5	1	no	—
878	#432	—	5	1	no	—
879	#432	—	5	1	no	—
880	#432	—	5	1	no	—
881	#432	—	5	1	no	—
882	#424	—	5	1	no	—
883	#424	—	5	1	no	—
884	#408	—	5	1	no	—
885	#408	C₂×D₅	1	1	yes	characteristic
886	C₄×M₁₆	—	5	1	no	—
887	C₂×#97	—	5	1	no	—
888	C₂³×C₅	—	2	1	no	—
889	C₂³×C₅	—	2	1	no	—
890	C₂³×C₅	—	2	1	no	—
891	C₂³×C₅	—	4	2	no	—
892	C₂³×C₅	—	8	1	no	—
893	C₂³×C₅	—	8	1	no	—
894	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
895	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
896	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
897	C₂²×D₅	—	2	1	no	—
898	C₂²×D₅	—	2	1	no	—
899	C₂²×D₅	—	2	1	no	—
900	C₂²×D₅	—	4	2	no	—
901	C₂²×D₅	—	8	1	no	—
902	C₂²×D₅	—	8	1	no	—
903	C₅×Q₈	—	2	1	no	—
904	C₅×Q₈	—	2	1	no	—
905	C₅×Q₈	—	4	1	no	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	2	1	no	—
908	C₅×D₄	—	2	1	no	—
909	C₅×D₄	—	2	1	no	—
910	C₅×D₄	—	2	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	4	1	no	—
913	C₅×D₄	—	4	1	no	—
914	C₅×D₄	—	4	1	no	—
915	C₅×D₄	—	4	2	no	—
916	C₅×D₄	—	4	2	no	—
917	C₅×D₄	—	8	1	no	—
918	C₅×D₄	—	8	1	no	—
919	C₅×D₄	—	8	1	no	—
920	C₅×D₄	—	8	1	no	—
921	C₅×D₄	—	8	1	no	—
922	C₅×D₄	—	8	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	2	1	no	—
927	C₂×C₄×C₅	—	2	1	no	—
928	C₂×C₄×C₅	—	2	1	no	—
929	C₂×C₄×C₅	—	2	1	no	—
930	C₂×C₄×C₅	—	2	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	2	1	no	—
934	C₂×C₄×C₅	—	4	2	no	—
935	C₂×C₄×C₅	—	8	1	no	—
936	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
940	C₂²⋊D₅	—	4	2	no	—
941	C₂²⋊D₅	—	4	2	no	—
942	C₂²⋊D₅	—	4	2	no	—
943	C₂²⋊D₅	—	4	2	no	—
944	C₂²⋊D₅	—	4	2	no	—
945	C₂²⋊D₅	—	8	1	no	—
946	C₂²⋊D₅	—	8	1	no	—
947	C₂²⋊D₅	—	8	1	no	—
948	C₂²⋊D₅	—	8	1	no	—
949	C₂²⋊D₅	—	8	1	no	—
950	C₂²⋊D₅	—	8	1	no	—
951	C₂²⋊D₅	—	8	1	no	—
952	C₂²⋊D₅	—	8	1	no	—
953	C₂²⋊D₅	—	8	1	no	—
954	C₂²⋊D₅	—	8	1	no	—
955	C₂²⋊D₅	—	8	1	no	—
956	C₂²⋊D₅	—	8	1	no	—
957	C₂×Dic₅	—	2	1	no	—
958	C₂×Dic₅	—	2	1	no	—
959	C₂×Dic₅	—	2	1	no	—
960	C₂×Dic₅	—	2	1	no	—
961	C₂×Dic₅	—	2	1	no	—
962	C₂×Dic₅	—	4	1	no	—
963	C₂×Dic₅	—	4	1	no	—
964	C₂×Dic₅	—	4	1	no	—
965	C₂×Dic₅	—	4	1	no	—
966	C₂×Dic₅	—	4	1	no	—
967	C₂×Dic₅	—	4	1	no	—
968	C₂×Dic₅	—	8	1	no	—
969	C₂×Dic₅	—	8	1	no	—
970	C₂×Dic₅	—	8	1	no	—
971	C₂×Dic₅	—	8	1	no	—
972	C₂×Dic₅	—	8	1	no	—
973	C₂×Dic₅	—	8	1	no	—
974	C₂×Dic₅	—	8	1	no	—
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
979	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
980	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
983	D₂₀	—	2	1	no	—
984	D₂₀	—	2	1	no	—
985	D₂₀	—	2	1	no	—
986	D₂₀	—	2	1	no	—
987	D₂₀	—	2	1	no	—
988	D₂₀	—	2	1	no	—
989	D₂₀	—	4	2	no	—
990	C₄×D₅	—	4	2	no	—
991	C₄×D₅	—	8	1	no	—
992	C₄×D₅	—	8	1	no	—
993	C₄×D₅	—	8	1	no	—
994	C₄×D₅	—	8	1	no	—
995	C₄×D₅	—	8	1	no	—
996	C₄×D₅	—	8	1	no	—
997	Dic₁₀	—	2	1	no	—
998	Dic₁₀	—	2	1	no	—
999	Dic₁₀	—	4	2	no	—
1000	Dic₁₀	—	4	2	no	—
1001	C₅×C₈	—	2	1	no	—
1002	C₅×C₈	—	2	1	no	—
1003	C₅×C₈	—	2	1	no	—
1004	C₅×C₈	—	2	1	no	—
1005	#168	—	2	1	no	—
1006	#168	—	2	1	no	—
1007	#168	—	2	1	no	—
1008	#168	—	2	1	no	—
1009	C₂×#41	—	5	1	no	—
1010	C₂×#41	—	10	1	no	—
1011	C₂×#41	—	10	1	no	—
1012	C₂×#41	—	10	1	no	—
1013	C₂×#41	—	10	1	no	—
1014	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1015	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1016	C₂²×D₄	—	5	1	no	—
1017	C₂²×D₄	—	10	1	no	—
1018	C₂²×D₄	—	10	1	no	—
1019	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1020	C₂×SD₁₆	—	5	1	no	—
1021	C₂×SD₁₆	—	5	1	no	—
1022	C₂×SD₁₆	—	5	1	no	—
1023	C₂×SD₁₆	—	5	1	no	—
1024	C₂×SD₁₆	—	5	1	no	—
1025	C₂×SD₁₆	—	5	1	no	—
1026	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1027	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1028	C₂×D₈	—	5	1	no	—
1029	C₂×D₈	—	5	1	no	—
1030	C₂×D₈	—	5	1	no	—
1031	C₂×D₈	—	5	1	no	—
1032	C₂×D₈	—	5	1	no	—
1033	C₂×D₈	—	5	1	no	—
1034	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1035	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1036	C₂×M₁₆	—	5	1	no	—
1037	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1038	C₂²×C₈	—	5	1	no	—
1039	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1040	C₄⋊Q₈	—	5	1	no	—
1041	C₄⋊Q₈	—	5	1	no	—
1042	C₄⋊Q₈	—	5	1	no	—
1043	#127	—	2	1	no	—
1044	#127	—	5	1	no	—
1045	#127	—	5	1	no	—
1046	#127	—	5	1	no	—
1047	#127	—	5	1	no	—
1048	#127	—	5	1	no	—
1049	#127	—	10	1	no	—
1050	#127	—	10	1	no	—
1051	#127	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#126	—	10	1	no	—
1055	#126	—	10	1	no	—
1056	#126	—	10	1	no	—
1057	#126	—	10	1	no	—
1058	#126	—	10	1	no	—
1059	#126	—	10	1	no	—
1060	#125	—	5	1	no	—
1061	#125	—	5	1	no	—
1062	#125	—	5	1	no	—
1063	#125	—	5	1	no	—
1064	#125	—	5	1	no	—
1065	#125	—	5	1	no	—
1066	#125	—	10	1	no	—
1067	#125	—	10	1	no	—
1068	#125	—	10	1	no	—
1069	#125	—	10	1	no	—
1070	#125	—	10	1	no	—
1071	#125	—	10	1	no	—
1072	#124	—	2	1	no	—
1073	#124	—	5	1	no	—
1074	#124	—	5	1	no	—
1075	#124	—	10	1	no	—
1076	#124	—	10	1	no	—
1077	#124	—	10	1	no	—
1078	#124	—	10	1	no	—
1079	#124	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	#123	—	10	1	no	—
1083	#123	—	10	1	no	—
1084	#123	—	10	1	no	—
1085	#123	—	10	1	no	—
1086	#123	—	10	1	no	—
1087	#123	—	10	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	#123	—	10	1	no	—
1093	#123	—	10	1	no	—
1094	#123	—	10	1	no	—
1095	#123	—	10	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	5	1	no	—
1098	C₂²⋊Q₈	—	5	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1103	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1104	#121	—	2	1	no	—
1105	#121	—	2	1	no	—
1106	#121	—	2	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	5	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#121	—	10	1	no	—
1119	#121	—	10	1	no	—
1120	#121	—	10	1	no	—
1121	#121	—	10	1	no	—
1122	#121	—	10	1	no	—
1123	#121	—	10	1	no	—
1124	#121	—	10	1	no	—
1125	#121	—	10	1	no	—
1126	#121	—	10	1	no	—
1127	#121	—	10	1	no	—
1128	#121	—	10	1	no	—
1129	#121	—	10	1	no	—
1130	#121	—	10	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	C₂²×D₅	1	1	yes	characteristic
1135	#121	C₂²×D₅	1	1	yes	characteristic
1136	#121	C₂²×D₅	1	1	yes	characteristic
1137	#121	C₂²×D₅	1	1	yes	characteristic
1138	#121	C₂²×D₅	1	1	yes	characteristic
1139	#121	C₂²×D₅	1	1	yes	characteristic
1140	#120	—	2	1	no	—
1141	#120	—	2	1	no	—
1142	#120	—	10	1	no	—
1143	#120	—	10	1	no	—
1144	C₄×Q₈	—	5	1	no	—
1145	C₄×Q₈	—	5	1	no	—
1146	C₄×Q₈	—	5	1	no	—
1147	C₄×Q₈	—	5	1	no	—
1148	C₄×Q₈	—	5	1	no	—
1149	C₄×Q₈	—	5	1	no	—
1150	C₄×Q₈	—	10	1	no	—
1151	C₄×Q₈	—	10	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	5	1	no	—
1156	C₄×D₄	—	5	1	no	—
1157	C₄×D₄	—	5	1	no	—
1158	C₄×D₄	—	5	1	no	—
1159	C₄×D₄	—	5	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	5	1	no	—
1162	C₄×D₄	—	5	1	no	—
1163	C₄×D₄	—	5	1	no	—
1164	C₄×D₄	—	5	1	no	—
1165	C₄×D₄	—	5	1	no	—
1166	C₄×D₄	—	5	1	no	—
1167	C₄×D₄	—	5	1	no	—
1168	C₄×D₄	—	5	1	no	—
1169	C₄×D₄	—	5	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	—	10	1	no	—
1185	C₄×D₄	—	10	1	no	—
1186	C₄×D₄	—	10	1	no	—
1187	C₄×D₄	—	10	1	no	—
1188	#117	—	5	1	no	—
1189	#117	—	5	1	no	—
1190	#117	—	5	1	no	—
1191	#117	—	5	1	no	—
1192	#117	—	10	1	no	—
1193	#117	—	10	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	#117	—	10	1	no	—
1198	#117	C₂²×D₅	1	1	yes	characteristic
1199	C₂×C₄⋊C₄	—	5	1	no	—
1200	C₂×C₄⋊C₄	—	10	1	no	—
1201	C₂×C₄⋊C₄	—	10	1	no	—
1202	C₂×C₄⋊C₄	—	10	1	no	—
1203	C₂×C₄⋊C₄	—	10	1	no	—
1204	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1205	C₂×C₂²⋊C₄	—	10	1	no	—
1206	C₂×C₂²⋊C₄	—	10	1	no	—
1207	C₂×C₂²⋊C₄	—	10	1	no	—
1208	C₂×C₂²⋊C₄	—	10	1	no	—
1209	C₂×C₄²	—	5	1	no	—
1210	C₂×C₄²	—	5	1	no	—
1211	C₂×C₄²	—	5	1	no	—
1212	#107	—	5	1	no	—
1213	#107	—	5	1	no	—
1214	#107	—	5	1	no	—
1215	#107	—	5	1	no	—
1216	#107	—	5	1	no	—
1217	#107	—	5	1	no	—
1218	#107	C₂²×D₅	1	1	yes	characteristic
1219	#107	C₂²×D₅	1	1	yes	characteristic
1220	#106	—	5	1	no	—
1221	#106	—	5	1	no	—
1222	#106	—	5	1	no	—
1223	#106	—	5	1	no	—
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
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	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	—	5	1	no	—
1234	C₄⋊C₈	—	5	1	no	—
1235	C₄⋊C₈	—	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	C₂²×D₅	1	1	yes	characteristic
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	C₂²×D₅	1	1	yes	characteristic
1263	#102	C₂²×D₅	1	1	yes	characteristic
1264	#102	C₂²×D₅	1	1	yes	characteristic
1265	#102	C₂²×D₅	1	1	yes	characteristic
1266	#102	C₂²×D₅	1	1	yes	characteristic
1267	#102	C₂²×D₅	1	1	yes	characteristic
1268	C₂²⋊C₈	—	5	1	no	—
1269	C₂²⋊C₈	—	5	1	no	—
1270	C₂²⋊C₈	—	5	1	no	—
1271	C₂²⋊C₈	—	5	1	no	—
1272	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1273	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1274	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1275	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1276	#97	—	5	1	no	—
1277	#97	—	5	1	no	—
1278	#97	—	5	1	no	—
1279	#97	—	5	1	no	—
1280	#97	—	5	1	no	—
1281	#97	—	5	1	no	—
1282	C₄×C₈	—	5	1	no	—
1283	C₄×C₈	—	5	1	no	—
1284	C₂²×C₅	—	2	1	no	—
1285	C₂²×C₅	—	2	1	no	—
1286	C₂²×C₅	—	2	1	no	—
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	2	1	no	—
1290	C₂²×C₅	—	2	1	no	—
1291	C₂²×C₅	—	2	1	no	—
1292	C₂²×C₅	—	2	1	no	—
1293	C₂²×C₅	—	4	1	no	—
1294	C₂²×C₅	—	4	1	no	—
1295	C₂²×C₅	—	4	1	no	—
1296	C₂²×C₅	—	4	1	no	—
1297	C₂²×C₅	—	4	1	no	—
1298	C₂²×C₅	—	4	1	no	—
1299	C₂²×C₅	—	4	1	no	—
1300	C₂²×C₅	—	4	1	no	—
1301	C₂²×C₅	—	4	1	no	—
1302	C₂²×C₅	—	16	2	no	—
1303	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	4	1	no	—
1306	C₂×D₅	—	4	1	no	—
1307	C₂×D₅	—	4	1	no	—
1308	C₂×D₅	—	4	1	no	—
1309	C₂×D₅	—	4	1	no	—
1310	C₂×D₅	—	4	1	no	—
1311	C₂×D₅	—	4	1	no	—
1312	C₂×D₅	—	4	1	no	—
1313	C₂×D₅	—	16	2	no	—
1314	C₄×C₅	—	2	1	no	—
1315	C₄×C₅	—	2	1	no	—
1316	C₄×C₅	—	2	1	no	—
1317	C₄×C₅	—	4	1	no	—
1318	C₄×C₅	—	4	1	no	—
1319	C₄×C₅	—	4	1	no	—
1320	C₄×C₅	—	4	1	no	—
1321	C₄×C₅	—	4	1	no	—
1322	C₄×C₅	#585	1	1	yes	characteristic
1323	C₄×C₅	#585	1	1	yes	characteristic
1324	Dic₅	—	2	1	no	—
1325	Dic₅	—	2	1	no	—
1326	Dic₅	—	2	1	no	—
1327	Dic₅	—	2	1	no	—
1328	Dic₅	—	2	1	no	—
1329	Dic₅	—	2	1	no	—
1330	Dic₅	—	2	1	no	—
1331	Dic₅	—	2	1	no	—
1332	Dic₅	—	4	1	no	—
1333	Dic₅	—	4	1	no	—
1334	Dic₅	—	4	1	no	—
1335	Dic₅	—	4	1	no	—
1336	Dic₅	—	4	1	no	—
1337	C₂⁴	—	2	1	no	—
1338	C₂⁴	—	10	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	#41	—	20	1	no	—
1344	#41	—	20	1	no	—
1345	#41	—	40	2	no	—
1346	#41	—	40	2	no	—
1347	#41	—	40	2	no	—
1348	#41	—	40	2	no	—
1349	C₂×Q₈	—	5	1	no	—
1350	C₂×Q₈	—	10	1	no	—
1351	C₂×Q₈	—	10	1	no	—
1352	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1353	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	—	4	1	no	—
1364	C₂×D₄	—	5	1	no	—
1365	C₂×D₄	—	5	1	no	—
1366	C₂×D₄	—	5	1	no	—
1367	C₂×D₄	—	10	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	1	no	—
1370	C₂×D₄	—	10	1	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	1	no	—
1375	C₂×D₄	—	10	1	no	—
1376	C₂×D₄	—	10	1	no	—
1377	C₂×D₄	—	10	1	no	—
1378	C₂×D₄	—	10	1	no	—
1379	C₂×D₄	—	10	1	no	—
1380	C₂×D₄	—	10	1	no	—
1381	C₂×D₄	—	10	1	no	—
1382	C₂×D₄	—	10	1	no	—
1383	C₂×D₄	—	10	1	no	—
1384	C₂×D₄	—	10	1	no	—
1385	C₂×D₄	—	20	1	no	—
1386	C₂×D₄	—	20	1	no	—
1387	C₂×D₄	—	40	2	no	—
1388	C₂×D₄	—	40	2	no	—
1389	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1390	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1391	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1392	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1393	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1394	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	5	1	no	—
1398	C₂²×C₄	—	5	1	no	—
1399	C₂²×C₄	—	5	1	no	—
1400	C₂²×C₄	—	5	1	no	—
1401	C₂²×C₄	—	5	1	no	—
1402	C₂²×C₄	—	5	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	10	1	no	—
1407	C₂²×C₄	—	10	1	no	—
1408	C₂²×C₄	—	10	1	no	—
1409	C₂²×C₄	—	10	1	no	—
1410	C₂²×C₄	—	10	1	no	—
1411	C₂²×C₄	—	10	1	no	—
1412	C₂²×C₄	—	10	1	no	—
1413	C₂²×C₄	—	10	1	no	—
1414	C₂²×C₄	—	10	1	no	—
1415	C₂²×C₄	—	10	1	no	—
1416	C₂²×C₄	—	10	1	no	—
1417	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1418	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1419	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1420	SD₁₆	—	4	1	no	—
1421	SD₁₆	—	4	1	no	—
1422	SD₁₆	—	20	1	no	—
1423	SD₁₆	—	20	1	no	—
1424	SD₁₆	—	20	1	no	—
1425	SD₁₆	—	20	1	no	—
1426	SD₁₆	—	20	1	no	—
1427	SD₁₆	—	20	1	no	—
1428	D₈	—	4	1	no	—
1429	D₈	—	4	1	no	—
1430	D₈	—	20	1	no	—
1431	D₈	—	20	1	no	—
1432	D₈	—	20	1	no	—
1433	D₈	—	20	1	no	—
1434	D₈	—	20	1	no	—
1435	D₈	—	20	1	no	—
1436	M₁₆	—	4	1	no	—
1437	M₁₆	—	20	1	no	—
1438	C₂×C₈	—	4	1	no	—
1439	C₂×C₈	—	5	1	no	—
1440	C₂×C₈	—	5	1	no	—
1441	C₂×C₈	—	5	1	no	—
1442	C₂×C₈	—	5	1	no	—
1443	C₂×C₈	—	20	1	no	—
1444	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1445	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1446	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1447	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	5	1	no	—
1460	C₄⋊C₄	—	5	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1485	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1486	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	5	1	no	—
1498	C₂²⋊C₄	—	5	1	no	—
1499	C₂²⋊C₄	—	5	1	no	—
1500	C₂²⋊C₄	—	5	1	no	—
1501	C₂²⋊C₄	—	5	1	no	—
1502	C₂²⋊C₄	—	5	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	5	1	no	—
1530	C₄²	—	5	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	5	1	no	—
1534	C₄²	—	5	1	no	—
1535	C₄²	—	5	1	no	—
1536	C₄²	—	5	1	no	—
1537	C₄²	—	5	1	no	—
1538	C₄²	—	5	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	—	10	1	no	—
1543	C₄²	—	10	1	no	—
1544	C₂×C₅	—	4	1	no	—
1545	C₂×C₅	—	4	1	no	—
1546	C₂×C₅	—	4	1	no	—
1547	C₂×C₅	—	8	1	no	—
1548	C₂×C₅	—	8	1	no	—
1549	C₂×C₅	—	8	1	no	—
1550	C₂×C₅	#3449	1	1	yes	characteristic
1551	C₂×C₅	#3585	1	1	yes	characteristic
1552	C₂×C₅	#3585	1	1	yes	characteristic
1553	D₅	—	8	1	no	—
1554	D₅	—	8	1	no	—
1555	D₅	—	8	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	—	2	1	no	—
1559	C₂³	—	4	2	no	—
1560	C₂³	—	8	1	no	—
1561	C₂³	—	8	1	no	—
1562	C₂³	—	10	1	no	—
1563	C₂³	—	10	1	no	—
1564	C₂³	—	10	1	no	—
1565	C₂³	—	20	2	no	—
1566	C₂³	—	40	1	no	—
1567	C₂³	—	40	1	no	—
1568	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1569	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1570	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	4	1	no	—
1574	Q₈	—	10	1	no	—
1575	Q₈	—	10	1	no	—
1576	Q₈	—	20	2	no	—
1577	Q₈	—	20	2	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	2	1	no	—
1580	D₄	—	2	1	no	—
1581	D₄	—	2	1	no	—
1582	D₄	—	2	1	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	4	1	no	—
1585	D₄	—	4	1	no	—
1586	D₄	—	4	1	no	—
1587	D₄	—	4	2	no	—
1588	D₄	—	4	2	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	10	1	no	—
1596	D₄	—	10	1	no	—
1597	D₄	—	10	1	no	—
1598	D₄	—	10	1	no	—
1599	D₄	—	10	1	no	—
1600	D₄	—	10	1	no	—
1601	D₄	—	20	2	no	—
1602	D₄	—	20	2	no	—
1603	D₄	—	20	2	no	—
1604	D₄	—	20	2	no	—
1605	D₄	—	20	2	no	—
1606	D₄	—	20	2	no	—
1607	D₄	—	40	1	no	—
1608	D₄	—	40	1	no	—
1609	D₄	—	40	1	no	—
1610	D₄	—	40	1	no	—
1611	D₄	—	40	1	no	—
1612	D₄	—	40	1	no	—
1613	D₄	—	40	1	no	—
1614	D₄	—	40	1	no	—
1615	D₄	—	40	1	no	—
1616	D₄	—	40	1	no	—
1617	D₄	—	40	1	no	—
1618	D₄	—	40	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	4	2	no	—
1631	C₂×C₄	—	5	1	no	—
1632	C₂×C₄	—	5	1	no	—
1633	C₂×C₄	—	5	1	no	—
1634	C₂×C₄	—	5	1	no	—
1635	C₂×C₄	—	5	1	no	—
1636	C₂×C₄	—	5	1	no	—
1637	C₂×C₄	—	5	1	no	—
1638	C₂×C₄	—	5	1	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	10	1	no	—
1641	C₂×C₄	—	10	1	no	—
1642	C₂×C₄	—	10	1	no	—
1643	C₂×C₄	—	10	1	no	—
1644	C₂×C₄	—	10	1	no	—
1645	C₂×C₄	—	20	2	no	—
1646	C₂×C₄	—	20	1	no	—
1647	C₂×C₄	—	20	1	no	—
1648	C₂×C₄	—	20	1	no	—
1649	C₂×C₄	—	20	1	no	—
1650	C₂×C₄	—	20	1	no	—
1651	C₂×C₄	—	20	1	no	—
1652	C₂×C₄	—	40	1	no	—
1653	C₂×C₄	—	40	1	no	—
1654	C₂×C₄	—	40	1	no	—
1655	C₂×C₄	—	40	1	no	—
1656	C₂×C₄	—	40	1	no	—
1657	C₂×C₄	—	40	1	no	—
1658	C₂×C₄	—	40	1	no	—
1659	C₂×C₄	—	40	1	no	—
1660	C₂×C₄	—	40	1	no	—
1661	C₂×C₄	—	40	1	no	—
1662	C₂×C₄	—	40	1	no	—
1663	C₂×C₄	—	40	1	no	—
1664	C₂×C₄	—	40	1	no	—
1665	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1666	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1667	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1668	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1669	C₈	—	2	1	no	—
1670	C₈	—	2	1	no	—
1671	C₈	—	2	1	no	—
1672	C₈	—	2	1	no	—
1673	C₈	—	10	1	no	—
1674	C₈	—	10	1	no	—
1675	C₈	—	10	1	no	—
1676	C₈	—	10	1	no	—
1677	C₅	#61019	1	1	yes	characteristic, complemented, Sylow
1678	C₂²	—	2	1	no	—
1679	C₂²	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	16	2	no	—
1697	C₂²	—	20	1	no	—
1698	C₂²	—	20	1	no	—
1699	C₂²	—	20	1	no	—
1700	C₂²	—	20	1	no	—
1701	C₂²	—	20	1	no	—
1702	C₂²	—	20	1	no	—
1703	C₂²	—	20	1	no	—
1704	C₂²	—	20	1	no	—
1705	C₂²	—	20	1	no	—
1706	C₂²	—	80	2	no	—
1707	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	—	4	1	no	—
1713	C₄	—	4	1	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	4	1	no	—
1716	C₄	—	10	1	no	—
1717	C₄	—	10	1	no	—
1718	C₄	—	10	1	no	—
1719	C₄	—	10	1	no	—
1720	C₄	—	10	1	no	—
1721	C₄	—	10	1	no	—
1722	C₄	—	10	1	no	—
1723	C₄	—	10	1	no	—
1724	C₄	—	20	1	no	—
1725	C₄	—	20	1	no	—
1726	C₄	—	20	1	no	—
1727	C₄	—	20	1	no	—
1728	C₄	—	20	1	no	—
1729	C₄	#66285	1	1	yes	characteristic
1730	C₄	#66285	1	1	yes	characteristic
1731	C₂	—	4	1	no	—
1732	C₂	—	4	1	no	—
1733	C₂	—	4	1	no	—
1734	C₂	—	8	1	no	—
1735	C₂	—	8	1	no	—
1736	C₂	—	8	1	no	—
1737	C₂	—	40	1	no	—
1738	C₂	—	40	1	no	—
1739	C₂	—	40	1	no	—
1740	C₂	#10618195	1	1	yes	characteristic
1741	C₂	#10619105	1	1	yes	characteristic
1742	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×#3198	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3198	D₅
hypocenter	C₅	#61019
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3198

Complements

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

N	H ≅ G/N	type
1. #10618270	C₂	semidirect
2. #10618220	C₂	semidirect
3. C₅×#3198	C₂	semidirect
4. #10615156	C₂	semidirect
5. #10615117	C₂	semidirect
6. #10613234	C₂	semidirect
7. #10613229	C₂	semidirect
8. #10613090	C₂	semidirect
9. #10613085	C₂	semidirect
10. #10613050	C₂	semidirect
11. #10613043	C₂	semidirect
12. #10613007	C₂	semidirect
13. #10613003	C₂	semidirect
14. #10612589	C₂	semidirect
15. #10612579	C₂	semidirect
16. #10612529	C₂	semidirect
17. #10612515	C₂	semidirect
18. #10612437	C₂	semidirect
19. #10612432	C₂	semidirect
20. #10612377	C₂	semidirect
21. #10612369	C₂	semidirect
22. #10611872	C₂	semidirect
23. #10611868	C₂	semidirect
24. #10611809	C₂	semidirect
25. #10611809	C₂	semidirect
26. #10611804	C₂	semidirect
27. #10611803	C₂	semidirect
28. #10611728	C₂	semidirect
29. #10611724	C₂	semidirect
30. #10610404	C₂	semidirect
31. #10610380	C₂	semidirect
35. #66166	C₂²	semidirect
37. #66161	C₂²	semidirect
48. #65959	C₂²	semidirect
50. #65958	C₂²	semidirect
56. #65953	C₂²	semidirect
64. #65934	C₂²	semidirect
75. #65838	C₂²	semidirect
76. C₂×#4036	C₂²	semidirect
79. C₅×#481	C₂²	semidirect
80. C₅×#480	C₂²	semidirect
81. C₅×#469	C₂²	semidirect
82. C₅×#468	C₂²	semidirect
83. C₅×#466	C₂²	semidirect
84. C₅×#465	C₂²	semidirect
86. C₅×#449	C₂²	semidirect
87. C₅×#449	C₂²	semidirect
90. #65527	C₂²	semidirect
91. #65527	C₂²	semidirect
97. #65453	C₂²	semidirect
100. #65451	C₂²	semidirect
101. #65451	C₂²	semidirect
102. SD₁₆×Dic₅	C₂²	semidirect
105. #65441	C₂²	semidirect
108. #65439	C₂²	semidirect
109. #65439	C₂²	semidirect
110. D₈×Dic₅	C₂²	semidirect
111. #65424	C₂²	semidirect
112. #65423	C₂²	semidirect
113. #65408	C₂²	semidirect
114. M₁₆×Dic₅	C₂²	semidirect
115. #65404	C₂²	semidirect
116. #65403	C₂²	semidirect
117. #65391	C₂²	semidirect
118. C₂×#3947	C₂²	semidirect
119. #65338	C₂²	semidirect
120. #65337	C₂²	semidirect
123. #65331	C₂²	semidirect
124. #65330	C₂²	semidirect
125. #65328	C₂²	semidirect
126. #65328	C₂²	semidirect
127. #65327	C₂²	semidirect
128. #65327	C₂²	semidirect
129. #65326	C₂²	semidirect
130. #65326	C₂²	semidirect
133. #65323	C₂²	semidirect
134. #65322	C₂²	semidirect
137. #65257	C₂²	semidirect
138. #65256	C₂²	semidirect
139. #65180	C₂²	semidirect
140. #65180	C₂²	semidirect
141. #65180	C₂²	semidirect
142. #65178	C₂²	semidirect
143. #65166	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65165	C₂²	semidirect
146. #65161	C₂²	semidirect
147. #65160	C₂²	semidirect
148. #65160	C₂²	semidirect
149. #65160	C₂²	semidirect
150. #65158	C₂²	semidirect
151. #65146	C₂²	semidirect
152. #65145	C₂²	semidirect
153. #65145	C₂²	semidirect
154. #65141	C₂²	semidirect
155. #65107	C₂²	semidirect
156. #65107	C₂²	semidirect
157. #65106	C₂²	semidirect
158. #65088	C₂²	semidirect
159. #65085	C₂²	semidirect
160. #65084	C₂²	semidirect
161. #65084	C₂²	semidirect
162. #65077	C₂²	semidirect
165. #65075	C₂²	semidirect
166. #65075	C₂²	semidirect
167. #65074	C₂²	semidirect
168. #65074	C₂²	semidirect
169. #65055	C₂²	semidirect
170. #65055	C₂²	semidirect
171. #65055	C₂²	semidirect
172. #65054	C₂²	semidirect
173. #65054	C₂²	semidirect
178. #65052	C₂²	semidirect
179. #65052	C₂²	semidirect
180. #65052	C₂²	semidirect
183. #65047	C₂²	semidirect
184. #65046	C₂²	semidirect
185. #65045	C₂²	semidirect
186. #65045	C₂²	semidirect
188. #65025	C₂²	semidirect
189. #65024	C₂²	semidirect
190. #65023	C₂²	semidirect
191. #65023	C₂²	semidirect
197. #65009	C₂²	semidirect
198. #65009	C₂²	semidirect
201. #65008	C₂²	semidirect
202. #65008	C₂²	semidirect
496. #3198	D₅	semidirect
789. #481	C₂×D₅	semidirect
793. #480	C₂×D₅	semidirect
813. #469	C₂×D₅	semidirect
817. #468	C₂×D₅	semidirect
821. #466	C₂×D₅	semidirect
825. #465	C₂×D₅	semidirect
852. #449	C₂×D₅	semidirect
853. #449	C₂×D₅	semidirect
1677. C₅	#61019	semidirect

Maximal subgroups

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

subgroup	index
#10618270	2
#10618220	2
C₅×#3198	2
#10615156	2
#10615117	2
#10613234	2
#10613229	2
#10613090	2
#10613085	2
#10613050	2
#10613043	2
#10613007	2
#10613003	2
#10612589	2
#10612579	2
#10612529	2
#10612515	2
#10612437	2
#10612432	2
#10612377	2
#10612369	2
#10611872	2
#10611868	2
#10611809	2
#10611804	2
#10611803	2
#10611728	2
#10611724	2
#10610404	2
#10610380	2
#61019	5