Subgroups — #12979376

Order 1280.

1862 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618906	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3376	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615400	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615369	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613468	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613465	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613411	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613405	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613391	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613369	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612966	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612948	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612897	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612883	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612769	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612745	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612267	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612267	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612252	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612250	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612159	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612150	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611700	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611690	C₂	1	1	yes	maximal, characteristic, complemented
26	D₅×#442	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611582	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611506	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611484	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611378	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611360	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#556	C₂²	1	1	yes	characteristic, complemented
33	C₅×#554	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4060	C₂²	1	1	yes	characteristic
35	C₂×#4060	C₂²	1	1	yes	characteristic
36	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
37	#66066	C₂²	1	1	yes	characteristic, complemented
38	#66063	C₂²	1	1	yes	characteristic
39	#66061	C₂²	1	1	yes	characteristic, complemented
40	#66059	C₂²	1	1	yes	characteristic
41	#66043	—	2	1	no	—
42	#66043	—	2	1	no	—
43	#66038	—	2	1	no	—
44	#66038	—	2	1	no	—
45	#66024	C₂²	1	1	yes	characteristic, complemented
46	#66024	C₂²	1	1	yes	characteristic, complemented
47	#66023	C₂²	1	1	yes	characteristic
48	#66022	C₂²	1	1	yes	characteristic
49	#66015	C₂²	1	1	yes	characteristic, complemented
50	#66015	C₂²	1	1	yes	characteristic, complemented
51	#66008	C₂²	1	1	yes	characteristic
52	#66008	C₂²	1	1	yes	characteristic
53	#65970	—	2	1	no	—
54	#65970	—	2	1	no	—
55	#65968	—	2	1	no	—
56	#65968	—	2	1	no	—
57	#65966	—	2	1	no	—
58	#65965	—	2	1	no	—
59	#65961	—	2	1	no	—
60	D₅×C₂²⋊Q₈	—	2	1	no	—
61	#65919	C₂²	1	1	yes	characteristic, complemented
62	#65919	C₂²	1	1	yes	characteristic, complemented
63	#65913	C₂²	1	1	yes	characteristic, complemented
64	#65912	C₂²	1	1	yes	characteristic
65	#65911	C₂²	1	1	yes	characteristic, complemented
66	#65908	C₂²	1	1	yes	characteristic
67	#65908	C₂²	1	1	yes	characteristic
68	#65887	C₂²	1	1	yes	characteristic, complemented
69	#65879	C₂²	1	1	yes	characteristic
70	#65879	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	#65873	C₂²	1	1	yes	characteristic, complemented
74	#65873	C₂²	1	1	yes	characteristic, complemented
75	D₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
76	#65866	—	2	1	no	—
77	#65858	—	2	1	no	—
78	#65845	—	2	1	no	—
79	C₂×#4042	—	2	1	no	—
80	C₅×#491	C₂²	1	1	yes	characteristic, complemented
81	C₅×#489	C₂²	1	1	yes	characteristic, complemented
82	C₅×#488	C₂²	1	1	yes	characteristic, complemented
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₅×#475	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic
87	C₅×#463	C₂²	1	1	yes	characteristic
88	C₅×#461	C₂²	1	1	yes	characteristic, complemented
89	C₅×#446	C₂²	1	1	yes	characteristic, complemented
90	C₅×#442	C₂²	1	1	yes	characteristic
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	#65454	C₂²	1	1	yes	characteristic
94	#65454	C₂²	1	1	yes	characteristic
95	#65454	C₂²	1	1	yes	characteristic, complemented
96	#65454	C₂²	1	1	yes	characteristic, complemented
97	#65453	C₂²	1	1	yes	characteristic, complemented
98	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
99	#65441	C₂²	1	1	yes	characteristic
100	#65439	C₂²	1	1	yes	characteristic
101	#65439	C₂²	1	1	yes	characteristic
102	#65377	C₂²	1	1	yes	characteristic, complemented
103	#65373	C₂²	1	1	yes	characteristic, complemented
104	#65372	C₂²	1	1	yes	characteristic, complemented
105	#65371	C₂²	1	1	yes	characteristic, complemented
106	#65356	C₂²	1	1	yes	characteristic, complemented
107	#65356	C₂²	1	1	yes	characteristic, complemented
108	#65355	C₂²	1	1	yes	characteristic, complemented
109	#65355	C₂²	1	1	yes	characteristic, complemented
110	#65346	C₂²	1	1	yes	characteristic
111	#65346	C₂²	1	1	yes	characteristic
112	#65345	C₂²	1	1	yes	characteristic, complemented
113	#65344	C₂²	1	1	yes	characteristic, complemented
114	#65315	C₂²	1	1	yes	characteristic, complemented
115	C₄×#688	C₂²	1	1	yes	characteristic, complemented
116	#65313	C₂²	1	1	yes	characteristic, complemented
117	#65311	C₂²	1	1	yes	characteristic, complemented
118	#65309	C₂²	1	1	yes	characteristic, complemented
119	#65304	C₂²	1	1	yes	characteristic
120	#65304	C₂²	1	1	yes	characteristic
121	#65304	C₂²	1	1	yes	characteristic, complemented
122	#65303	C₂²	1	1	yes	characteristic
123	#65303	C₂²	1	1	yes	characteristic
124	#65303	C₂²	1	1	yes	characteristic, complemented
125	C₄×#686	C₂²	1	1	yes	characteristic, complemented
126	#65298	C₂²	1	1	yes	characteristic, complemented
127	#65180	C₂²	1	1	yes	characteristic, complemented
128	#65179	C₂²	1	1	yes	characteristic, complemented
129	#65170	C₂²	1	1	yes	characteristic
130	#65161	C₂²	1	1	yes	characteristic, complemented
131	#65160	C₂²	1	1	yes	characteristic, complemented
132	#65159	C₂²	1	1	yes	characteristic, complemented
133	#65159	C₂²	1	1	yes	characteristic, complemented
134	#65159	C₂²	1	1	yes	characteristic, complemented
135	#65158	C₂²	1	1	yes	characteristic
136	#65158	C₂²	1	1	yes	characteristic, complemented
137	#65150	C₂²	1	1	yes	characteristic
138	D₅×#106	C₂²	1	1	yes	characteristic
139	#65136	C₂²	1	1	yes	characteristic, complemented
140	#65136	C₂²	1	1	yes	characteristic, complemented
141	#65132	C₂²	1	1	yes	characteristic
142	#65132	C₂²	1	1	yes	characteristic
143	#65132	C₂²	1	1	yes	characteristic, complemented
144	#65131	C₂²	1	1	yes	characteristic, complemented
145	#65128	C₂²	1	1	yes	characteristic
146	#65128	C₂²	1	1	yes	characteristic
147	#65126	C₂²	1	1	yes	characteristic
148	#65120	C₂²	1	1	yes	characteristic, complemented
149	#65117	C₂²	1	1	yes	characteristic, complemented
150	#65117	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic
152	#65108	C₂²	1	1	yes	characteristic
153	#65108	C₂²	1	1	yes	characteristic, complemented
154	#65108	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic, complemented
156	#65093	C₂²	1	1	yes	characteristic
157	#65093	C₂²	1	1	yes	characteristic
158	#65093	C₂²	1	1	yes	characteristic
159	#65093	C₂²	1	1	yes	characteristic
160	#65092	C₂²	1	1	yes	characteristic
161	#65092	C₂²	1	1	yes	characteristic
162	#65089	C₂²	1	1	yes	characteristic, complemented
163	#65089	C₂²	1	1	yes	characteristic, complemented
164	#65088	C₂²	1	1	yes	characteristic, complemented
165	#65085	C₂²	1	1	yes	characteristic, complemented
166	#65084	C₂²	1	1	yes	characteristic, complemented
167	#65084	C₂²	1	1	yes	characteristic, complemented
168	#65084	C₂²	1	1	yes	characteristic, complemented
169	#65084	C₂²	1	1	yes	characteristic, complemented
170	#65084	C₂²	1	1	yes	characteristic, complemented
171	#65084	C₂²	1	1	yes	characteristic, complemented
172	#65080	C₂²	1	1	yes	characteristic, complemented
173	#65080	C₂²	1	1	yes	characteristic, complemented
174	#65077	C₂²	1	1	yes	characteristic, complemented
175	#65075	C₂²	1	1	yes	characteristic
176	#65075	C₂²	1	1	yes	characteristic
177	#65074	C₂²	1	1	yes	characteristic
178	#65074	C₂²	1	1	yes	characteristic
179	#65074	C₂²	1	1	yes	characteristic, complemented
180	#65059	C₂²	1	1	yes	characteristic
181	#65059	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic
183	D₅×#102	C₂²	1	1	yes	characteristic
184	#65053	C₂²	1	1	yes	characteristic, complemented
185	#65053	C₂²	1	1	yes	characteristic, complemented
186	#65050	C₂²	1	1	yes	characteristic, complemented
187	#65049	C₂²	1	1	yes	characteristic, complemented
188	#65049	C₂²	1	1	yes	characteristic, complemented
189	#65048	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65002	C₂²	1	1	yes	characteristic, complemented
192	#65002	C₂²	1	1	yes	characteristic, complemented
193	#65000	C₂²	1	1	yes	characteristic
194	#65000	C₂²	1	1	yes	characteristic, complemented
195	#64997	C₂²	1	1	yes	characteristic
196	D₅×#97	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64983	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#61332	—	5	1	no	maximal, Sylow
204	C₂×#713	—	2	1	no	—
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	—	2	1	no	—
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×#709	—	2	1	no	—
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂²×Dic₁₀	—	2	1	no	—
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₅×#126	—	2	1	no	—
220	C₅×#126	—	2	1	no	—
221	C₅×#125	C₂³	1	1	yes	characteristic
222	C₅×#125	C₂³	1	1	yes	characteristic
223	C₅×#124	C₂³	1	1	yes	characteristic
224	C₅×#124	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₅×C₂²⋊Q₈	—	2	1	no	—
228	C₅×C₂²⋊Q₈	—	2	1	no	—
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
236	C₅×#117	—	2	1	no	—
237	C₂×C₅×C₄⋊C₄	—	2	1	no	—
238	#4093	C₂³	1	1	yes	characteristic
239	#4093	C₂³	1	1	yes	characteristic
240	#4093	C₂³	1	1	yes	characteristic
241	#4093	C₂³	1	1	yes	characteristic
242	#4092	—	2	1	no	—
243	#4092	—	2	1	no	—
244	#4092	—	2	1	no	—
245	#4092	D₄	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	#4090	—	2	1	no	—
249	#4090	D₄	1	1	yes	characteristic
250	C₂×#688	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	#4086	C₂³	1	1	yes	characteristic
253	#4086	C₂³	1	1	yes	characteristic
254	D₄×Dic₅	C₂³	1	1	yes	characteristic
255	D₄×Dic₅	C₂³	1	1	yes	characteristic
256	D₄×Dic₅	C₂³	1	1	yes	characteristic
257	D₄×Dic₅	C₂³	1	1	yes	characteristic
258	C₂×#686	C₂³	1	1	yes	characteristic
259	C₂×#686	C₂³	1	1	yes	characteristic
260	C₂×#686	C₂³	1	1	yes	characteristic
261	C₂×#686	C₂³	1	1	yes	characteristic
262	#4076	—	2	1	no	—
263	C₄×C₂²⋊D₅	—	2	1	no	—
264	C₄×C₂²⋊D₅	—	2	1	no	—
265	C₄×C₂²⋊D₅	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₂×#685	—	2	1	no	—
268	C₂×#685	—	2	1	no	—
269	#4070	—	2	1	no	—
270	#4070	—	2	1	no	—
271	#4070	—	2	1	no	—
272	C₂×#683	—	2	1	no	—
273	C₂×#683	—	2	1	no	—
274	#4060	—	2	4	no	—
275	#4060	—	2	4	no	—
276	D₅×D₈	—	2	4	no	—
277	C₂×D₄₀	C₂³	1	1	yes	characteristic
278	C₂×D₄₀	C₂³	1	1	yes	characteristic
279	C₂×D₄₀	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	#4043	—	2	1	no	—
287	#4043	—	2	1	no	—
288	#4043	—	2	1	no	—
289	#4043	—	2	1	no	—
290	#4043	D₄	1	1	yes	characteristic
291	#4042	—	2	1	no	—
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	#4042	—	2	1	no	—
302	#4042	—	2	1	no	—
303	#4042	D₄	1	1	yes	characteristic
304	#4042	D₄	1	1	yes	characteristic
305	#4041	—	2	1	no	—
306	#4041	—	2	1	no	—
307	#4041	—	2	1	no	—
308	#4041	—	2	1	no	—
309	#4041	—	2	1	no	—
310	#4040	—	2	1	no	—
311	#4040	—	2	1	no	—
312	#4040	—	2	1	no	—
313	#4040	—	2	1	no	—
314	#4039	—	2	1	no	—
315	#4039	—	2	1	no	—
316	#4039	—	2	1	no	—
317	#4039	—	2	1	no	—
318	#4039	C₂³	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4039	C₂³	1	1	yes	characteristic
322	#4039	C₂³	1	1	yes	characteristic
323	#4039	C₂³	1	1	yes	characteristic
324	#4038	—	2	1	no	—
325	#4038	C₂³	1	1	yes	characteristic
326	#4038	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
333	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	#4036	C₂³	1	1	yes	characteristic
335	#4036	C₂³	1	1	yes	characteristic
336	#4035	—	2	1	no	—
337	#4035	—	2	1	no	—
338	#4035	D₄	1	1	yes	characteristic
339	#4035	D₄	1	1	yes	characteristic
340	#4034	—	2	1	no	—
341	#4034	D₄	1	1	yes	characteristic
342	#4034	C₂³	1	1	yes	characteristic
343	#4034	C₂³	1	1	yes	characteristic
344	#4034	C₂³	1	1	yes	characteristic
345	#4034	C₂³	1	1	yes	characteristic
346	#4033	—	2	1	no	—
347	#4033	—	2	1	no	—
348	#4032	—	2	1	no	—
349	#4032	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4030	—	2	1	no	—
353	#4030	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4028	—	2	1	no	—
361	#4028	—	2	1	no	—
362	#4028	—	2	1	no	—
363	#4028	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	D₅×C₂²⋊C₄	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4021	—	2	1	no	—
381	#4021	—	2	1	no	—
382	#4020	C₂³	1	1	yes	characteristic
383	#4020	C₂³	1	1	yes	characteristic
384	#4020	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	—	2	1	no	—
386	C₄×D₂₀	—	2	1	no	—
387	C₄×D₂₀	—	2	1	no	—
388	C₄×D₂₀	—	2	1	no	—
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	C₄×D₂₀	C₂³	1	1	yes	characteristic
394	C₄×D₂₀	C₂³	1	1	yes	characteristic
395	#4018	—	2	1	no	—
396	#4018	—	2	1	no	—
397	#4018	C₂³	1	1	yes	characteristic
398	#4018	C₂³	1	1	yes	characteristic
399	C₄²×D₅	C₂³	1	1	yes	characteristic
400	#4016	C₂³	1	1	yes	characteristic
401	#4016	C₂³	1	1	yes	characteristic
402	#4015	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#97	C₂³	1	1	yes	characteristic
423	C₅×#97	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	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	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	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	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	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	#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	#3946	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	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3941	C₂³	1	1	yes	characteristic
464	#3941	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	#3940	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	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	#3935	C₂³	1	1	yes	characteristic
480	#3935	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3506	—	5	1	no	—
483	#3501	—	5	1	no	—
484	#3376	—	5	1	no	—
485	#3376	—	5	1	no	—
486	#3376	—	5	1	no	—
487	#3376	D₅	1	1	yes	characteristic, complemented
488	#3373	—	5	1	no	—
489	#3373	—	5	1	no	—
490	#3373	—	5	1	no	—
491	#3373	—	5	1	no	—
492	#3370	—	5	1	no	—
493	#3370	—	5	1	no	—
494	#3370	—	5	1	no	—
495	#3370	—	5	1	no	—
496	#3366	—	5	1	no	—
497	#3366	—	5	1	no	—
498	#3366	—	5	1	no	—
499	#3366	—	5	1	no	—
500	#3136	—	5	1	no	—
501	#3136	—	5	1	no	—
502	#3135	—	5	1	no	—
503	#3084	—	5	1	no	—
504	#3084	—	5	1	no	—
505	#3077	—	5	1	no	—
506	#3041	—	5	1	no	—
507	#3041	—	5	1	no	—
508	#3036	—	5	1	no	—
509	#2961	—	5	1	no	—
510	#2946	—	5	1	no	—
511	#2946	—	5	1	no	—
512	C₂×#442	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂³×D₅	—	2	1	no	—
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	#713	—	2	2	no	—
536	#713	—	2	2	no	—
537	#713	—	2	2	no	—
538	#713	—	2	2	no	—
539	#713	—	8	2	no	—
540	Q₈×D₅	—	8	2	no	—
541	D₄×D₅	—	2	2	no	—
542	D₄×D₅	—	2	2	no	—
543	D₄×D₅	—	2	2	no	—
544	D₄×D₅	#41	1	4	yes	complemented
545	#709	—	8	2	no	—
546	C₂×D₂₀	—	2	1	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
557	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	—	8	2	no	—
575	C₂×C₄×D₅	—	8	2	no	—
576	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
579	C₂×Dic₁₀	—	2	1	no	—
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	—	2	1	no	—
582	C₂×Dic₁₀	—	2	1	no	—
583	C₂×Dic₁₀	—	2	1	no	—
584	C₂×Dic₁₀	—	8	2	no	—
585	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
586	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
587	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
588	C₅×SD₁₆	—	2	2	no	—
589	C₅×SD₁₆	—	2	2	no	—
590	C₅×D₈	—	2	2	no	—
591	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
592	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
593	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
594	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₄²×C₅	—	2	1	no	—
621	C₄²×C₅	C₂⁴	1	1	yes	characteristic
622	C₄²×C₅	C₂⁴	1	1	yes	characteristic
623	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	#688	—	2	2	no	—
629	#688	—	2	2	no	—
630	#686	—	2	2	no	—
631	#686	—	2	2	no	—
632	#686	—	2	2	no	—
633	#686	—	2	2	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	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	#685	C₂×D₄	1	1	yes	characteristic
659	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
692	#683	C₂×D₄	1	1	yes	characteristic
693	#683	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
702	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	D₄₀	—	2	2	no	—
708	D₄₀	—	2	2	no	—
709	D₄₀	—	2	2	no	—
710	#676	—	2	2	no	—
711	#676	—	2	2	no	—
712	C₈×D₅	—	2	2	no	—
713	C₈×D₅	—	2	2	no	—
714	C₂×AGL(1,ℤ/8)	—	5	1	no	—
715	C₂×AGL(1,ℤ/8)	—	5	1	no	—
716	C₂²×D₈	—	5	1	no	—
717	#559	—	5	1	no	—
718	#559	—	5	1	no	—
719	#559	—	5	1	no	—
720	#559	—	5	1	no	—
721	#556	—	5	1	no	—
722	#556	C₂×D₅	1	1	yes	characteristic, complemented
723	#555	—	10	1	no	—
724	#554	—	5	1	no	—
725	#554	—	5	1	no	—
726	#554	—	5	1	no	—
727	#554	—	5	1	no	—
728	#554	—	5	1	no	—
729	#554	—	10	1	no	—
730	#554	—	10	1	no	—
731	#554	—	10	1	no	—
732	#554	C₂×D₅	1	1	yes	characteristic, complemented
733	#553	—	10	1	no	—
734	#553	—	10	1	no	—
735	#550	—	5	1	no	—
736	#550	—	5	1	no	—
737	D₄×Q₈	—	5	1	no	—
738	D₄×Q₈	—	5	1	no	—
739	D₄×Q₈	—	10	1	no	—
740	#547	—	10	1	no	—
741	#544	—	5	1	no	—
742	#544	—	5	1	no	—
743	#543	—	10	1	no	—
744	#543	—	10	1	no	—
745	#538	—	10	1	no	—
746	#538	—	10	1	no	—
747	#535	—	5	1	no	—
748	#535	—	5	1	no	—
749	#533	—	5	1	no	—
750	#533	—	5	1	no	—
751	#532	—	5	1	no	—
752	#525	—	10	1	no	—
753	#525	—	10	1	no	—
754	C₂×C₂²⋊Q₈	—	10	1	no	—
755	C₂×C₂²⋊Q₈	—	10	1	no	—
756	#520	—	5	1	no	—
757	#520	—	5	1	no	—
758	#518	—	5	1	no	—
759	#518	—	5	1	no	—
760	C₂×C₄×D₄	—	5	1	no	—
761	C₂×C₄×D₄	—	5	1	no	—
762	#491	—	5	1	no	—
763	#491	C₂×D₅	1	1	yes	characteristic, complemented
764	#490	—	5	1	no	—
765	#490	—	5	1	no	—
766	#490	—	5	1	no	—
767	#490	—	5	1	no	—
768	#490	—	5	1	no	—
769	#490	—	5	1	no	—
770	#489	—	5	1	no	—
771	#489	—	5	1	no	—
772	#489	—	5	1	no	—
773	#489	—	5	1	no	—
774	#489	—	5	1	no	—
775	#489	—	5	1	no	—
776	#489	—	5	1	no	—
777	#489	C₂×D₅	1	1	yes	characteristic, complemented
778	#488	—	5	1	no	—
779	#488	—	5	1	no	—
780	#488	—	5	1	no	—
781	#488	C₂×D₅	1	1	yes	characteristic, complemented
782	#486	—	5	1	no	—
783	#486	—	5	1	no	—
784	#486	—	5	1	no	—
785	#486	—	5	1	no	—
786	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	C₂×D₅	1	1	yes	characteristic, complemented
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	C₂×D₅	1	1	yes	characteristic, complemented
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	C₂×D₅	1	1	yes	characteristic, complemented
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#463	—	5	1	no	—
811	#463	—	5	1	no	—
812	#463	—	5	1	no	—
813	#463	—	5	1	no	—
814	#463	—	5	1	no	—
815	#463	—	5	1	no	—
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	C₂×D₅	1	1	yes	characteristic
821	#463	C₂×D₅	1	1	yes	characteristic
822	#461	—	5	1	no	—
823	#461	C₂×D₅	1	1	yes	characteristic, complemented
824	#459	—	5	1	no	—
825	#459	—	5	1	no	—
826	#459	—	5	1	no	—
827	#459	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#459	—	5	1	no	—
833	#459	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#446	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#446	—	5	1	no	—
840	#446	—	5	1	no	—
841	#446	C₂×D₅	1	1	yes	characteristic, complemented
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#442	—	5	1	no	—
846	#442	—	5	1	no	—
847	#442	—	5	1	no	—
848	#442	—	5	1	no	—
849	#442	—	5	1	no	—
850	#442	—	5	1	no	—
851	#442	—	5	1	no	—
852	#442	—	5	1	no	—
853	#442	C₂×D₅	1	1	yes	characteristic
854	#440	—	5	1	no	—
855	#440	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	C₂×D₅	1	1	yes	characteristic, complemented
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
862	C₄×D₈	—	5	1	no	—
863	C₄×D₈	—	5	1	no	—
864	C₄×D₈	—	5	1	no	—
865	C₄×D₈	—	5	1	no	—
866	#428	—	5	1	no	—
867	#428	—	5	1	no	—
868	C₂×#106	—	5	1	no	—
869	#424	—	5	1	no	—
870	#424	—	5	1	no	—
871	#423	—	5	1	no	—
872	#418	—	5	1	no	—
873	#418	—	5	1	no	—
874	#417	—	5	1	no	—
875	#417	—	5	1	no	—
876	#416	—	5	1	no	—
877	#416	—	5	1	no	—
878	#416	—	5	1	no	—
879	#416	—	5	1	no	—
880	C₂×#102	—	5	1	no	—
881	C₂×#102	—	5	1	no	—
882	#405	—	5	1	no	—
883	#405	—	5	1	no	—
884	C₂×#97	—	5	1	no	—
885	C₂³×C₅	—	2	1	no	—
886	C₂³×C₅	—	2	1	no	—
887	C₂²×D₅	—	2	1	no	—
888	C₂²×D₅	—	2	4	no	—
889	C₂²×D₅	—	2	1	no	—
890	C₂²×D₅	—	2	1	no	—
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	—	4	2	no	—
893	C₂²×D₅	—	8	1	no	—
894	C₂²×D₅	—	8	1	no	—
895	C₂²×D₅	—	8	1	no	—
896	C₂²×D₅	—	8	1	no	—
897	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	2	1	no	—
900	C₅×Q₈	—	2	1	no	—
901	C₅×Q₈	—	2	1	no	—
902	C₅×Q₈	—	4	1	no	—
903	C₅×Q₈	—	8	1	no	—
904	C₅×D₄	—	2	1	no	—
905	C₅×D₄	—	2	1	no	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	C₂×#41	1	2	yes	—
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	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
924	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
925	C₂²⋊D₅	—	2	4	no	—
926	C₂²⋊D₅	—	4	2	no	—
927	C₂²⋊D₅	—	8	1	no	—
928	C₂²⋊D₅	—	8	1	no	—
929	C₂²⋊D₅	—	8	1	no	—
930	C₂²⋊D₅	—	8	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	4	2	no	—
936	C₂×Dic₅	—	8	1	no	—
937	C₂×Dic₅	—	8	1	no	—
938	C₂×Dic₅	—	8	1	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	D₂₀	—	2	1	no	—
947	D₂₀	—	2	1	no	—
948	D₂₀	—	2	1	no	—
949	D₂₀	—	2	1	no	—
950	D₂₀	—	2	1	no	—
951	D₂₀	—	2	1	no	—
952	D₂₀	—	2	1	no	—
953	D₂₀	—	4	2	no	—
954	D₂₀	—	4	2	no	—
955	D₂₀	—	4	2	no	—
956	D₂₀	—	8	1	no	—
957	D₂₀	—	8	1	no	—
958	D₂₀	—	8	1	no	—
959	D₂₀	—	8	1	no	—
960	D₂₀	—	8	1	no	—
961	D₂₀	C₂×#41	1	2	yes	—
962	C₄×D₅	—	4	1	no	—
963	C₄×D₅	—	4	1	no	—
964	C₄×D₅	—	4	2	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	4	2	no	—
967	C₄×D₅	—	4	2	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	—	8	1	no	—
973	C₄×D₅	—	8	1	no	—
974	C₄×D₅	—	8	1	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	—	8	1	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	—	8	1	no	—
980	C₄×D₅	C₂×#41	1	2	yes	—
981	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
982	Dic₁₀	—	4	1	no	—
983	Dic₁₀	—	4	1	no	—
984	Dic₁₀	—	4	1	no	—
985	Dic₁₀	—	4	2	no	—
986	Dic₁₀	—	8	1	no	—
987	Dic₁₀	—	8	1	no	—
988	Dic₁₀	—	8	1	no	—
989	Dic₁₀	—	8	1	no	—
990	C₅×C₈	—	2	1	no	—
991	C₅×C₈	—	2	1	no	—
992	C₅×C₈	—	2	1	no	—
993	C₅×C₈	—	2	1	no	—
994	#168	—	2	1	no	—
995	#168	—	2	1	no	—
996	#168	—	2	1	no	—
997	#168	—	2	1	no	—
998	C₂×#41	—	5	1	no	—
999	C₂×#41	—	5	1	no	—
1000	C₂×#41	—	10	1	no	—
1001	C₂×#41	—	10	1	no	—
1002	C₂²×Q₈	—	10	1	no	—
1003	C₂²×Q₈	—	10	1	no	—
1004	C₂²×D₄	—	5	1	no	—
1005	C₂²×D₄	—	5	1	no	—
1006	C₂³×C₄	—	10	1	no	—
1007	C₂³×C₄	—	10	1	no	—
1008	AGL(1,ℤ/8)	—	10	4	no	—
1009	AGL(1,ℤ/8)	—	10	4	no	—
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	—	5	1	no	—
1012	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1013	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	5	1	no	—
1016	C₂×D₈	—	5	1	no	—
1017	C₂×D₈	—	5	1	no	—
1018	C₂×D₈	—	5	1	no	—
1019	C₂×D₈	—	5	1	no	—
1020	C₂×D₈	—	5	1	no	—
1021	C₂×D₈	—	10	4	no	—
1022	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1023	C₂×M₁₆	—	5	1	no	—
1024	C₂×M₁₆	—	5	1	no	—
1025	C₂²×C₈	—	5	1	no	—
1026	C₂²×C₈	—	5	1	no	—
1027	C₄⋊Q₈	—	5	1	no	—
1028	C₄⋊Q₈	—	5	1	no	—
1029	C₄⋊Q₈	—	5	1	no	—
1030	C₄⋊Q₈	—	5	1	no	—
1031	C₄⋊Q₈	—	5	1	no	—
1032	C₄⋊Q₈	—	5	1	no	—
1033	C₄⋊Q₈	—	5	1	no	—
1034	C₄⋊Q₈	—	10	1	no	—
1035	C₄⋊Q₈	—	10	1	no	—
1036	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1037	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1038	#127	—	5	1	no	—
1039	#127	—	5	1	no	—
1040	#127	—	5	1	no	—
1041	#127	—	5	1	no	—
1042	#127	—	5	1	no	—
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	10	1	no	—
1046	#126	—	10	1	no	—
1047	#125	—	5	1	no	—
1048	#125	—	5	1	no	—
1049	#125	—	5	1	no	—
1050	#125	—	5	1	no	—
1051	#125	—	5	1	no	—
1052	#125	—	5	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	C₂²×D₅	1	1	yes	characteristic
1056	#125	C₂²×D₅	1	1	yes	characteristic
1057	#124	—	5	1	no	—
1058	#124	—	5	1	no	—
1059	#124	—	5	1	no	—
1060	#124	—	5	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	C₂²×D₅	1	1	yes	characteristic
1066	#124	C₂²×D₅	1	1	yes	characteristic
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	C₂²⋊Q₈	—	2	1	no	—
1076	C₂²⋊Q₈	—	2	1	no	—
1077	C₂²⋊Q₈	—	2	1	no	—
1078	C₂²⋊Q₈	—	2	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	5	1	no	—
1082	C₂²⋊Q₈	—	5	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	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	—	10	1	no	—
1103	C₂²⋊Q₈	—	10	1	no	—
1104	C₂²⋊Q₈	—	10	1	no	—
1105	C₂²⋊Q₈	—	10	1	no	—
1106	C₂²⋊Q₈	—	10	1	no	—
1107	C₂²⋊Q₈	—	10	1	no	—
1108	C₂²⋊Q₈	—	10	1	no	—
1109	C₂²⋊Q₈	—	10	1	no	—
1110	C₂²⋊Q₈	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	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	#120	—	10	1	no	—
1124	#120	—	10	1	no	—
1125	#120	—	10	1	no	—
1126	#120	—	10	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×Q₈	—	5	1	no	—
1131	C₄×Q₈	—	5	1	no	—
1132	C₄×Q₈	—	10	1	no	—
1133	C₄×Q₈	—	10	1	no	—
1134	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1172	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1173	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1174	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1175	#117	—	2	1	no	—
1176	#117	—	5	1	no	—
1177	#117	—	5	1	no	—
1178	#117	—	5	1	no	—
1179	#117	—	5	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	C₂×C₄⋊C₄	—	2	1	no	—
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	5	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄⋊C₄	—	10	1	no	—
1188	C₂×C₄⋊C₄	—	10	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	10	1	no	—
1192	C₂×C₄⋊C₄	—	10	1	no	—
1193	C₂×C₂²⋊C₄	—	10	1	no	—
1194	C₂×C₂²⋊C₄	—	10	1	no	—
1195	C₂×C₂²⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	10	1	no	—
1197	C₂×C₂²⋊C₄	—	10	1	no	—
1198	C₂×C₂²⋊C₄	—	10	1	no	—
1199	C₂×C₄²	—	5	1	no	—
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	C₂²×D₅	1	1	yes	characteristic
1204	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	#106	—	5	1	no	—
1207	#106	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	C₂²×D₅	1	1	yes	characteristic
1211	#106	C₂²×D₅	1	1	yes	characteristic
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	C₄⋊C₈	—	5	1	no	—
1220	C₄⋊C₈	—	5	1	no	—
1221	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1222	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1223	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	C₂²×D₅	1	1	yes	characteristic
1231	#103	C₂²×D₅	1	1	yes	characteristic
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#103	C₂²×D₅	1	1	yes	characteristic
1234	#103	C₂²×D₅	1	1	yes	characteristic
1235	#103	C₂²×D₅	1	1	yes	characteristic
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1261	#102	C₂²×D₅	1	1	yes	characteristic
1262	#102	C₂²×D₅	1	1	yes	characteristic
1263	#102	C₂²×D₅	1	1	yes	characteristic
1264	#97	—	5	1	no	—
1265	#97	—	5	1	no	—
1266	#97	—	5	1	no	—
1267	#97	—	5	1	no	—
1268	#97	—	5	1	no	—
1269	#97	—	5	1	no	—
1270	#97	C₂²×D₅	1	1	yes	characteristic
1271	#97	C₂²×D₅	1	1	yes	characteristic
1272	C₄×C₈	—	5	1	no	—
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1276	C₂²×C₅	—	2	2	no	—
1277	C₂²×C₅	—	4	1	no	—
1278	C₂²×C₅	—	4	1	no	—
1279	C₂²×C₅	—	4	1	no	—
1280	C₂²×C₅	—	4	1	no	—
1281	C₂²×C₅	—	4	1	no	—
1282	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1283	C₂×D₅	—	2	1	no	—
1284	C₂×D₅	—	2	1	no	—
1285	C₂×D₅	—	2	2	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	4	1	no	—
1290	C₂×D₅	—	4	1	no	—
1291	C₂×D₅	—	4	1	no	—
1292	C₂×D₅	—	4	1	no	—
1293	C₂×D₅	—	4	1	no	—
1294	C₂×D₅	—	4	1	no	—
1295	C₂×D₅	—	4	1	no	—
1296	C₂×D₅	—	4	1	no	—
1297	C₂×D₅	—	8	4	no	—
1298	C₂×D₅	—	8	4	no	—
1299	C₂×D₅	#548	1	2	yes	—
1300	C₄×C₅	—	2	1	no	—
1301	C₄×C₅	—	2	1	no	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	2	1	no	—
1306	C₄×C₅	—	4	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	—	4	1	no	—
1311	C₄×C₅	—	4	1	no	—
1312	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1313	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1314	Dic₅	—	2	1	no	—
1315	Dic₅	—	2	1	no	—
1316	Dic₅	—	2	1	no	—
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	2	1	no	—
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	4	1	no	—
1321	Dic₅	—	4	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	#548	1	2	yes	—
1325	C₂⁴	—	10	1	no	—
1326	C₂⁴	—	10	1	no	—
1327	#41	—	10	2	no	—
1328	#41	—	10	2	no	—
1329	#41	—	10	2	no	—
1330	#41	—	10	2	no	—
1331	#41	—	40	2	no	—
1332	#41	—	40	2	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	5	1	no	—
1335	C₂×Q₈	—	5	1	no	—
1336	C₂×Q₈	—	5	1	no	—
1337	C₂×Q₈	—	10	1	no	—
1338	C₂×Q₈	—	10	1	no	—
1339	C₂×Q₈	—	10	1	no	—
1340	C₂×Q₈	—	10	1	no	—
1341	C₂×Q₈	—	10	1	no	—
1342	C₂×Q₈	—	40	2	no	—
1343	C₂×Q₈	—	40	2	no	—
1344	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1345	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1346	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1347	C₂×D₄	—	5	4	no	—
1348	C₂×D₄	—	5	1	no	—
1349	C₂×D₄	—	5	1	no	—
1350	C₂×D₄	—	5	1	no	—
1351	C₂×D₄	—	5	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	2	no	—
1355	C₂×D₄	—	10	2	no	—
1356	C₂×D₄	—	10	2	no	—
1357	C₂×D₄	—	10	1	no	—
1358	C₂×D₄	—	10	1	no	—
1359	C₂×D₄	—	10	1	no	—
1360	C₂×D₄	—	10	1	no	—
1361	C₂×D₄	—	10	1	no	—
1362	C₂×D₄	—	10	1	no	—
1363	C₂×D₄	—	10	1	no	—
1364	C₂×D₄	—	10	1	no	—
1365	C₂×D₄	—	10	1	no	—
1366	C₂×D₄	—	10	1	no	—
1367	C₂×D₄	—	10	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1370	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	5	1	no	—
1376	C₂²×C₄	—	5	1	no	—
1377	C₂²×C₄	—	5	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	1	no	—
1398	C₂²×C₄	—	40	2	no	—
1399	C₂²×C₄	—	40	2	no	—
1400	SD₁₆	—	2	2	no	—
1401	SD₁₆	—	2	2	no	—
1402	SD₁₆	—	10	2	no	—
1403	SD₁₆	—	10	2	no	—
1404	D₈	—	2	2	no	—
1405	D₈	—	10	2	no	—
1406	D₈	—	10	2	no	—
1407	D₈	—	10	2	no	—
1408	D₈	—	10	2	no	—
1409	D₈	—	10	2	no	—
1410	D₈	—	10	2	no	—
1411	D₈	—	10	2	no	—
1412	M₁₆	—	10	2	no	—
1413	M₁₆	—	10	2	no	—
1414	C₂×C₈	—	5	1	no	—
1415	C₂×C₈	—	5	1	no	—
1416	C₂×C₈	—	5	1	no	—
1417	C₂×C₈	—	5	1	no	—
1418	C₂×C₈	—	10	2	no	—
1419	C₂×C₈	—	10	2	no	—
1420	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1421	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1422	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1423	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	5	1	no	—
1434	C₄⋊C₄	—	5	1	no	—
1435	C₄⋊C₄	—	5	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	5	1	no	—
1438	C₄⋊C₄	—	5	1	no	—
1439	C₄⋊C₄	—	5	1	no	—
1440	C₄⋊C₄	—	5	1	no	—
1441	C₄⋊C₄	—	5	1	no	—
1442	C₄⋊C₄	—	5	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	5	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	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	D₄×D₅	1	1	yes	characteristic
1468	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1469	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1471	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1473	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	5	1	no	—
1483	C₂²⋊C₄	—	5	1	no	—
1484	C₂²⋊C₄	—	5	1	no	—
1485	C₂²⋊C₄	—	5	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	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	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	5	1	no	—
1515	C₄²	—	5	1	no	—
1516	C₄²	—	5	1	no	—
1517	C₄²	—	5	1	no	—
1518	C₄²	—	5	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	—	10	1	no	—
1522	C₄²	—	10	1	no	—
1523	C₄²	C₂³×D₅	1	1	yes	characteristic
1524	C₄²	C₂³×D₅	1	1	yes	characteristic
1525	C₄²	C₂³×D₅	1	1	yes	characteristic
1526	C₂×C₅	—	4	2	no	—
1527	C₂×C₅	—	8	1	no	—
1528	C₂×C₅	C₂×#548	1	1	yes	characteristic
1529	C₂×C₅	#3585	1	1	yes	characteristic
1530	C₂×C₅	#3585	1	1	yes	characteristic
1531	D₅	—	2	2	no	—
1532	D₅	—	4	2	no	—
1533	D₅	—	8	1	no	—
1534	D₅	—	8	1	no	—
1535	D₅	—	8	1	no	—
1536	C₂³	—	2	1	no	—
1537	C₂³	—	2	1	no	—
1538	C₂³	—	5	1	no	—
1539	C₂³	—	10	4	no	—
1540	C₂³	—	10	1	no	—
1541	C₂³	—	10	1	no	—
1542	C₂³	—	10	1	no	—
1543	C₂³	—	10	1	no	—
1544	C₂³	—	20	2	no	—
1545	C₂³	—	40	1	no	—
1546	C₂³	—	40	1	no	—
1547	C₂³	—	40	1	no	—
1548	C₂³	—	40	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	4	1	no	—
1554	Q₈	—	8	1	no	—
1555	Q₈	—	20	1	no	—
1556	Q₈	—	20	1	no	—
1557	Q₈	—	20	1	no	—
1558	Q₈	—	20	2	no	—
1559	Q₈	—	40	1	no	—
1560	Q₈	—	40	1	no	—
1561	Q₈	—	40	1	no	—
1562	Q₈	—	40	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	5	2	no	—
1567	D₄	—	10	4	no	—
1568	D₄	—	10	1	no	—
1569	D₄	—	10	1	no	—
1570	D₄	—	10	1	no	—
1571	D₄	—	10	1	no	—
1572	D₄	—	10	1	no	—
1573	D₄	—	10	1	no	—
1574	D₄	—	10	1	no	—
1575	D₄	—	20	2	no	—
1576	D₄	—	20	2	no	—
1577	D₄	—	20	2	no	—
1578	D₄	—	20	2	no	—
1579	D₄	—	40	1	no	—
1580	D₄	—	40	1	no	—
1581	D₄	—	40	1	no	—
1582	D₄	—	40	1	no	—
1583	D₄	—	40	1	no	—
1584	D₄	—	40	1	no	—
1585	D₄	—	40	1	no	—
1586	D₄	—	40	1	no	—
1587	D₄	—	40	1	no	—
1588	D₄	D₅×#41	1	2	yes	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	4	2	no	—
1596	C₂×C₄	—	5	1	no	—
1597	C₂×C₄	—	5	2	no	—
1598	C₂×C₄	—	5	2	no	—
1599	C₂×C₄	—	5	1	no	—
1600	C₂×C₄	—	5	1	no	—
1601	C₂×C₄	—	5	1	no	—
1602	C₂×C₄	—	5	1	no	—
1603	C₂×C₄	—	5	1	no	—
1604	C₂×C₄	—	5	1	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	—	10	1	no	—
1609	C₂×C₄	—	10	1	no	—
1610	C₂×C₄	—	10	1	no	—
1611	C₂×C₄	—	10	1	no	—
1612	C₂×C₄	—	20	1	no	—
1613	C₂×C₄	—	20	1	no	—
1614	C₂×C₄	—	20	2	no	—
1615	C₂×C₄	—	20	2	no	—
1616	C₂×C₄	—	20	2	no	—
1617	C₂×C₄	—	20	2	no	—
1618	C₂×C₄	—	20	2	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
1621	C₂×C₄	—	40	1	no	—
1622	C₂×C₄	—	40	1	no	—
1623	C₂×C₄	—	40	1	no	—
1624	C₂×C₄	—	40	1	no	—
1625	C₂×C₄	—	40	1	no	—
1626	C₂×C₄	—	40	1	no	—
1627	C₂×C₄	—	40	1	no	—
1628	C₂×C₄	—	40	1	no	—
1629	C₂×C₄	—	40	1	no	—
1630	C₂×C₄	—	40	1	no	—
1631	C₂×C₄	—	40	1	no	—
1632	C₂×C₄	—	40	1	no	—
1633	C₂×C₄	—	40	1	no	—
1634	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1635	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1636	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1637	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1638	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1639	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1640	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1641	C₈	—	2	1	no	—
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	10	1	no	—
1646	C₈	—	10	1	no	—
1647	C₈	—	10	1	no	—
1648	C₈	—	10	1	no	—
1649	C₅	#61332	1	1	yes	characteristic, complemented, Sylow
1650	C₂²	—	2	2	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	5	2	no	—
1657	C₂²	—	10	1	no	—
1658	C₂²	—	10	1	no	—
1659	C₂²	—	10	2	no	—
1660	C₂²	—	20	1	no	—
1661	C₂²	—	20	1	no	—
1662	C₂²	—	20	1	no	—
1663	C₂²	—	20	1	no	—
1664	C₂²	—	20	1	no	—
1665	C₂²	—	20	1	no	—
1666	C₂²	—	20	1	no	—
1667	C₂²	—	20	1	no	—
1668	C₂²	—	20	1	no	—
1669	C₂²	—	20	1	no	—
1670	C₂²	—	20	1	no	—
1671	C₂²	—	40	4	no	—
1672	C₂²	—	40	4	no	—
1673	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	5	2	no	—
1687	C₄	—	10	1	no	—
1688	C₄	—	10	1	no	—
1689	C₄	—	10	1	no	—
1690	C₄	—	10	1	no	—
1691	C₄	—	10	1	no	—
1692	C₄	—	10	1	no	—
1693	C₄	—	20	1	no	—
1694	C₄	—	20	1	no	—
1695	C₄	—	20	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	C₂×D₅×#41	1	1	yes	characteristic
1698	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1699	C₂	—	4	2	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	10	2	no	—
1702	C₂	—	20	2	no	—
1703	C₂	—	40	1	no	—
1704	C₂	—	40	1	no	—
1705	C₂	—	40	1	no	—
1706	C₂	D₅×#548	1	1	yes	characteristic
1707	C₂	#10619101	1	1	yes	characteristic
1708	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×#3376	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3376	D₅
hypocenter	C₅	#61332
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3376

Complements

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

N	H ≅ G/N	type
1. #10618906	C₂	semidirect
2. #10618850	C₂	semidirect
3. C₅×#3376	C₂	semidirect
4. #10615400	C₂	semidirect
5. #10615369	C₂	semidirect
6. #10613468	C₂	semidirect
7. #10613465	C₂	semidirect
8. #10613411	C₂	semidirect
9. #10613405	C₂	semidirect
10. #10613391	C₂	semidirect
11. #10613369	C₂	semidirect
12. #10612966	C₂	semidirect
13. #10612948	C₂	semidirect
14. #10612897	C₂	semidirect
15. #10612883	C₂	semidirect
16. #10612769	C₂	semidirect
17. #10612745	C₂	semidirect
18. #10612267	C₂	semidirect
19. #10612267	C₂	semidirect
20. #10612252	C₂	semidirect
21. #10612250	C₂	semidirect
22. #10612159	C₂	semidirect
23. #10612150	C₂	semidirect
24. #10611700	C₂	semidirect
25. #10611690	C₂	semidirect
26. D₅×#442	C₂	semidirect
27. #10611582	C₂	semidirect
28. #10611506	C₂	semidirect
29. #10611484	C₂	semidirect
30. #10611378	C₂	semidirect
31. #10611360	C₂	semidirect
32. C₅×#556	C₂²	semidirect
33. C₅×#554	C₂²	semidirect
37. #66066	C₂²	semidirect
39. #66061	C₂²	semidirect
45. #66024	C₂²	semidirect
46. #66024	C₂²	semidirect
49. #66015	C₂²	semidirect
50. #66015	C₂²	semidirect
61. #65919	C₂²	semidirect
62. #65919	C₂²	semidirect
63. #65913	C₂²	semidirect
65. #65911	C₂²	semidirect
68. #65887	C₂²	semidirect
73. #65873	C₂²	semidirect
74. #65873	C₂²	semidirect
75. D₄×Dic₁₀	C₂²	semidirect
80. C₅×#491	C₂²	semidirect
81. C₅×#489	C₂²	semidirect
82. C₅×#488	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#475	C₂²	semidirect
88. C₅×#461	C₂²	semidirect
89. C₅×#446	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
92. C₄×C₅×SD₁₆	C₂²	semidirect
95. #65454	C₂²	semidirect
96. #65454	C₂²	semidirect
97. #65453	C₂²	semidirect
98. SD₁₆×Dic₅	C₂²	semidirect
102. #65377	C₂²	semidirect
103. #65373	C₂²	semidirect
104. #65372	C₂²	semidirect
105. #65371	C₂²	semidirect
106. #65356	C₂²	semidirect
107. #65356	C₂²	semidirect
108. #65355	C₂²	semidirect
109. #65355	C₂²	semidirect
112. #65345	C₂²	semidirect
113. #65344	C₂²	semidirect
114. #65315	C₂²	semidirect
115. C₄×#688	C₂²	semidirect
116. #65313	C₂²	semidirect
117. #65311	C₂²	semidirect
118. #65309	C₂²	semidirect
121. #65304	C₂²	semidirect
124. #65303	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. #65298	C₂²	semidirect
127. #65180	C₂²	semidirect
128. #65179	C₂²	semidirect
130. #65161	C₂²	semidirect
131. #65160	C₂²	semidirect
132. #65159	C₂²	semidirect
133. #65159	C₂²	semidirect
134. #65159	C₂²	semidirect
136. #65158	C₂²	semidirect
139. #65136	C₂²	semidirect
140. #65136	C₂²	semidirect
143. #65132	C₂²	semidirect
144. #65131	C₂²	semidirect
148. #65120	C₂²	semidirect
149. #65117	C₂²	semidirect
150. #65117	C₂²	semidirect
153. #65108	C₂²	semidirect
154. #65108	C₂²	semidirect
155. #65106	C₂²	semidirect
162. #65089	C₂²	semidirect
163. #65089	C₂²	semidirect
164. #65088	C₂²	semidirect
165. #65085	C₂²	semidirect
166. #65084	C₂²	semidirect
167. #65084	C₂²	semidirect
168. #65084	C₂²	semidirect
169. #65084	C₂²	semidirect
170. #65084	C₂²	semidirect
171. #65084	C₂²	semidirect
172. #65080	C₂²	semidirect
173. #65080	C₂²	semidirect
174. #65077	C₂²	semidirect
179. #65074	C₂²	semidirect
184. #65053	C₂²	semidirect
185. #65053	C₂²	semidirect
186. #65050	C₂²	semidirect
187. #65049	C₂²	semidirect
188. #65049	C₂²	semidirect
189. #65048	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65002	C₂²	semidirect
192. #65002	C₂²	semidirect
194. #65000	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
199. #64983	C₂²	semidirect
200. C₄×D₄₀	C₂²	semidirect
202. #64968	C₂²	semidirect
487. #3376	D₅	semidirect
544. D₄×D₅	#41	semidirect
722. #556	C₂×D₅	semidirect
732. #554	C₂×D₅	semidirect
763. #491	C₂×D₅	semidirect
777. #489	C₂×D₅	semidirect
781. #488	C₂×D₅	semidirect
789. #479	C₂×D₅	semidirect
797. #478	C₂×D₅	semidirect
807. #475	C₂×D₅	semidirect
823. #461	C₂×D₅	semidirect
841. #446	C₂×D₅	semidirect
857. #440	C₂×D₅	semidirect
861. C₄×SD₁₆	C₂×D₅	semidirect
1649. C₅	#61332	semidirect

Maximal subgroups

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

subgroup	index
#10618906	2
#10618850	2
C₅×#3376	2
#10615400	2
#10615369	2
#10613468	2
#10613465	2
#10613411	2
#10613405	2
#10613391	2
#10613369	2
#10612966	2
#10612948	2
#10612897	2
#10612883	2
#10612769	2
#10612745	2
#10612267	2
#10612252	2
#10612250	2
#10612159	2
#10612150	2
#10611700	2
#10611690	2
D₅×#442	2
#10611582	2
#10611506	2
#10611484	2
#10611378	2
#10611360	2
#61332	5