Subgroups — #12980741

Order 1280.

1880 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	#10618612	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618528	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3282	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615658	C₂	1	1	yes	maximal, characteristic, complemented
5	Dic₅×#135	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615598	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×SD₁₆×Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615265	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615226	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613545	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613540	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612381	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612380	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612364	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612363	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612311	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612299	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612248	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612235	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611979	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611943	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611925	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611903	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611836	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611799	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611746	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611719	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611145	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈×#711	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#135	C₂²	1	1	yes	characteristic
33	C₂²×C₅×SD₁₆	C₂²	1	1	yes	characteristic
34	C₅×#548	C₂²	1	1	yes	characteristic
35	C₅×#546	C₂²	1	1	yes	characteristic
36	#66168	C₂²	1	1	yes	characteristic, complemented
37	#41×Dic₅	C₂²	1	1	yes	characteristic
38	#41×Dic₅	C₂²	1	1	yes	characteristic, complemented
39	#66158	C₂²	1	1	yes	characteristic
40	#66151	C₂²	1	1	yes	characteristic
41	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic
42	#66140	C₂²	1	1	yes	characteristic
43	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
44	C₂×#4062	C₂²	1	1	yes	characteristic
45	#66015	—	2	1	no	—
46	#66015	C₂²	1	1	yes	characteristic, complemented
47	#66014	—	2	1	no	—
48	#66014	C₂²	1	1	yes	characteristic
49	#66014	C₂²	1	1	yes	characteristic, complemented
50	#66005	C₂²	1	1	yes	characteristic
51	#65984	—	2	1	no	—
52	#65983	—	2	1	no	—
53	#65976	C₂²	1	1	yes	characteristic
54	#65975	—	2	1	no	—
55	#65975	C₂²	1	1	yes	characteristic, complemented
56	#65958	—	2	1	no	—
57	#65958	C₂²	1	1	yes	characteristic, complemented
58	#65956	C₂²	1	1	yes	characteristic
59	#65952	—	2	1	no	—
60	#65952	C₂²	1	1	yes	characteristic
61	#65950	C₂²	1	1	yes	characteristic
62	#65935	—	2	1	no	—
63	#65934	—	2	1	no	—
64	#65934	C₂²	1	1	yes	characteristic
65	#65930	—	2	1	no	—
66	#65930	C₂²	1	1	yes	characteristic
67	#65921	—	2	1	no	—
68	#65920	—	2	1	no	—
69	C₄×#713	C₂²	1	1	yes	characteristic, complemented
70	#65903	C₂²	1	1	yes	characteristic, complemented
71	#65899	—	2	1	no	—
72	#65899	C₂²	1	1	yes	characteristic
73	#65875	C₂²	1	1	yes	characteristic
74	#65873	C₂²	1	1	yes	characteristic
75	C₄×#711	—	2	1	no	—
76	C₄×#711	C₂²	1	1	yes	characteristic
77	C₄×#711	C₂²	1	1	yes	characteristic
78	#65829	—	2	1	no	—
79	C₂×#4023	—	2	1	no	—
80	C₅×#495	C₂²	1	1	yes	characteristic
81	C₅×#465	C₂²	1	1	yes	characteristic
82	C₅×#465	C₂²	1	1	yes	characteristic
83	C₅×#464	C₂²	1	1	yes	characteristic
84	C₅×#463	C₂²	1	1	yes	characteristic
85	C₅×#452	C₂²	1	1	yes	characteristic
86	C₅×#451	C₂²	1	1	yes	characteristic
87	C₅×#449	C₂²	1	1	yes	characteristic
88	C₅×#447	C₂²	1	1	yes	characteristic
89	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
90	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
91	#65528	C₂²	1	1	yes	characteristic, complemented
92	#65527	C₂²	1	1	yes	characteristic
93	#65522	C₂²	1	1	yes	characteristic
94	#65522	C₂²	1	1	yes	characteristic, complemented
95	#65517	C₂²	1	1	yes	characteristic
96	C₂×#3967	C₂²	1	1	yes	characteristic
97	#65506	C₂²	1	1	yes	characteristic
98	C₂×#3964	C₂²	1	1	yes	characteristic
99	#65477	C₂²	1	1	yes	characteristic, complemented
100	#65476	C₂²	1	1	yes	characteristic, complemented
101	#65474	C₂²	1	1	yes	characteristic, complemented
102	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
103	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
104	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	#65471	C₂²	1	1	yes	characteristic, complemented
106	#65471	C₂²	1	1	yes	characteristic, complemented
107	#65464	C₂²	1	1	yes	characteristic, complemented
108	#65462	C₂²	1	1	yes	characteristic
109	#65461	C₂²	1	1	yes	characteristic
110	#65460	C₂²	1	1	yes	characteristic
111	#65460	C₂²	1	1	yes	characteristic, complemented
112	#65457	C₂²	1	1	yes	characteristic
113	#65455	C₂²	1	1	yes	characteristic
114	#65454	C₂²	1	1	yes	characteristic
115	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
116	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
117	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
118	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
119	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
120	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
121	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
122	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
123	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
124	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
125	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
126	#65447	C₂²	1	1	yes	characteristic
127	#65446	C₂²	1	1	yes	characteristic
128	#65442	C₂²	1	1	yes	characteristic
129	#65439	C₂²	1	1	yes	characteristic
130	#65439	C₂²	1	1	yes	characteristic
131	D₈×Dic₅	C₂²	1	1	yes	characteristic
132	D₈×Dic₅	C₂²	1	1	yes	characteristic
133	D₈×Dic₅	C₂²	1	1	yes	characteristic
134	#65403	C₂²	1	1	yes	characteristic
135	#65403	C₂²	1	1	yes	characteristic, complemented
136	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
137	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
138	#65395	C₂²	1	1	yes	characteristic, complemented
139	C₂×#3949	C₂²	1	1	yes	characteristic
140	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
141	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
142	#65346	C₂²	1	1	yes	characteristic
143	#65345	C₂²	1	1	yes	characteristic
144	#65345	C₂²	1	1	yes	characteristic, complemented
145	#65343	C₂²	1	1	yes	characteristic, complemented
146	#65340	C₂²	1	1	yes	characteristic, complemented
147	#65337	C₂²	1	1	yes	characteristic
148	#65334	C₂²	1	1	yes	characteristic, complemented
149	#65333	C₂²	1	1	yes	characteristic
150	#65330	C₂²	1	1	yes	characteristic
151	#65327	C₂²	1	1	yes	characteristic
152	#65324	C₂²	1	1	yes	characteristic
153	#65322	C₂²	1	1	yes	characteristic
154	C₄×#689	C₂²	1	1	yes	characteristic, complemented
155	#65311	C₂²	1	1	yes	characteristic, complemented
156	C₄×#686	C₂²	1	1	yes	characteristic
157	D₄×#168	C₂²	1	1	yes	characteristic
158	#65298	C₂²	1	1	yes	characteristic
159	#65149	C₂²	1	1	yes	characteristic, complemented
160	#65147	C₂²	1	1	yes	characteristic, complemented
161	#65144	C₂²	1	1	yes	characteristic, complemented
162	#65141	C₂²	1	1	yes	characteristic, complemented
163	#65136	C₂²	1	1	yes	characteristic, complemented
164	#65122	C₂²	1	1	yes	characteristic, complemented
165	#65119	C₂²	1	1	yes	characteristic, complemented
166	#65118	C₂²	1	1	yes	characteristic, complemented
167	#65104	C₂²	1	1	yes	characteristic, complemented
168	#65103	C₂²	1	1	yes	characteristic, complemented
169	#65093	C₂²	1	1	yes	characteristic, complemented
170	#65089	C₂²	1	1	yes	characteristic, complemented
171	#65088	C₂²	1	1	yes	characteristic, complemented
172	#65085	C₂²	1	1	yes	characteristic, complemented
173	#65083	C₂²	1	1	yes	characteristic, complemented
174	#65083	C₂²	1	1	yes	characteristic, complemented
175	#65081	C₂²	1	1	yes	characteristic, complemented
176	#65079	C₂²	1	1	yes	characteristic, complemented
177	#65079	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65073	C₂²	1	1	yes	characteristic
180	#65068	C₂²	1	1	yes	characteristic, complemented
181	#65061	C₂²	1	1	yes	characteristic
182	#65057	C₂²	1	1	yes	characteristic
183	#65055	C₂²	1	1	yes	characteristic
184	#65052	C₂²	1	1	yes	characteristic, complemented
185	#65049	C₂²	1	1	yes	characteristic, complemented
186	#65048	C₂²	1	1	yes	characteristic
187	#65048	C₂²	1	1	yes	characteristic
188	#65047	C₂²	1	1	yes	characteristic, complemented
189	#65045	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65025	C₂²	1	1	yes	characteristic
193	#65014	C₂²	1	1	yes	characteristic
194	#65014	C₂²	1	1	yes	characteristic, complemented
195	#65012	C₂²	1	1	yes	characteristic, complemented
196	#65011	C₂²	1	1	yes	characteristic
197	#65007	C₂²	1	1	yes	characteristic
198	#65007	C₂²	1	1	yes	characteristic, complemented
199	C₄×#677	C₂²	1	1	yes	characteristic, complemented
200	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
201	#64972	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61428	—	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×Q₈	C₂³	1	1	yes	characteristic
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂³×Dic₅	—	2	1	no	—
209	C₂×#713	C₂³	1	1	yes	characteristic
210	C₂×#711	—	2	1	no	—
211	C₂×#711	D₄	1	1	yes	characteristic
212	C₂×#711	C₂³	1	1	yes	characteristic
213	C₅×#135	—	2	4	no	—
214	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	—	2	4	no	—
217	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
224	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
225	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
226	C₅×#124	—	2	1	no	—
227	C₅×#124	C₂³	1	1	yes	characteristic
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#123	—	2	1	no	—
230	C₅×C₂²⋊Q₈	—	2	1	no	—
231	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₅×#121	—	2	1	no	—
234	C₅×#121	—	2	1	no	—
235	C₅×#121	C₂³	1	1	yes	characteristic
236	C₅×#121	C₂³	1	1	yes	characteristic
237	C₅×#120	—	2	1	no	—
238	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₅×D₄	—	2	1	no	—
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
243	#4099	—	2	1	no	—
244	C₂×C₂²⋊Dic₅	—	2	1	no	—
245	C₂×C₂²⋊Dic₅	—	2	1	no	—
246	#4093	—	2	1	no	—
247	#4093	C₂³	1	1	yes	characteristic
248	#4092	—	2	1	no	—
249	#4092	C₂³	1	1	yes	characteristic
250	#4092	C₂³	1	1	yes	characteristic
251	Q₈×Dic₅	—	2	1	no	—
252	Q₈×Dic₅	—	2	1	no	—
253	Q₈×Dic₅	C₂³	1	1	yes	characteristic
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic
255	Q₈×Dic₅	C₂³	1	1	yes	characteristic
256	Q₈×Dic₅	C₂³	1	1	yes	characteristic
257	Q₈×Dic₅	C₂³	1	1	yes	characteristic
258	Q₈×Dic₅	C₂³	1	1	yes	characteristic
259	Q₈×Dic₅	C₂³	1	1	yes	characteristic
260	#4090	C₂³	1	1	yes	characteristic
261	C₂×#689	C₂³	1	1	yes	characteristic
262	C₂×#689	C₂³	1	1	yes	characteristic
263	C₂×#688	C₂³	1	1	yes	characteristic
264	#4086	—	2	1	no	—
265	#4086	C₂³	1	1	yes	characteristic
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	#4084	—	2	1	no	—
273	#4084	C₂³	1	1	yes	characteristic
274	#4084	C₂³	1	1	yes	characteristic
275	#4082	—	2	1	no	—
276	#4082	C₂³	1	1	yes	characteristic
277	#4081	—	2	1	no	—
278	#4081	—	2	1	no	—
279	#4081	—	2	1	no	—
280	#4081	—	2	1	no	—
281	D₄×Dic₅	—	2	1	no	—
282	D₄×Dic₅	—	2	1	no	—
283	D₄×Dic₅	—	2	1	no	—
284	D₄×Dic₅	—	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	D₄	1	1	yes	characteristic
290	D₄×Dic₅	C₂³	1	1	yes	characteristic
291	D₄×Dic₅	C₂³	1	1	yes	characteristic
292	D₄×Dic₅	C₂³	1	1	yes	characteristic
293	D₄×Dic₅	C₂³	1	1	yes	characteristic
294	D₄×Dic₅	C₂³	1	1	yes	characteristic
295	D₄×Dic₅	C₂³	1	1	yes	characteristic
296	D₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×#687	C₂³	1	1	yes	characteristic
298	C₂×#686	C₂³	1	1	yes	characteristic
299	C₂×#686	C₂³	1	1	yes	characteristic
300	#4076	—	2	1	no	—
301	#4076	—	2	1	no	—
302	#4076	C₂³	1	1	yes	characteristic
303	#4076	C₂³	1	1	yes	characteristic
304	#4075	—	2	1	no	—
305	C₄×C₂²⋊D₅	—	2	1	no	—
306	C₄×C₂²⋊D₅	—	2	1	no	—
307	C₄×C₂²⋊D₅	—	2	1	no	—
308	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
309	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
310	#4072	—	2	1	no	—
311	#4072	—	2	1	no	—
312	#4072	C₂³	1	1	yes	characteristic
313	#4072	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊Dic₅	—	2	1	no	—
315	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
317	#4070	—	2	1	no	—
318	#4070	C₂³	1	1	yes	characteristic
319	#4070	C₂³	1	1	yes	characteristic
320	C₂×#683	—	2	1	no	—
321	C₂×#683	—	2	1	no	—
322	C₂×C₄×Dic₅	—	2	1	no	—
323	C₂×C₄×Dic₅	—	2	1	no	—
324	C₂×C₄×Dic₅	—	2	1	no	—
325	C₂×C₄×Dic₅	—	2	1	no	—
326	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
328	C₂²×#168	C₂³	1	1	yes	characteristic
329	C₂²×#168	C₂³	1	1	yes	characteristic
330	#4062	—	2	4	no	—
331	C₂×#677	C₂³	1	1	yes	characteristic
332	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
334	#4044	—	2	1	no	—
335	#4044	—	2	1	no	—
336	#4044	—	2	1	no	—
337	#4044	—	2	1	no	—
338	#4039	—	2	1	no	—
339	#4039	C₂³	1	1	yes	characteristic
340	#4038	—	2	1	no	—
341	#4038	—	2	1	no	—
342	#4038	D₄	1	1	yes	characteristic
343	#4038	C₂³	1	1	yes	characteristic
344	#4038	C₂³	1	1	yes	characteristic
345	#4036	—	2	1	no	—
346	#4036	—	2	1	no	—
347	#4036	C₂³	1	1	yes	characteristic
348	#4036	C₂³	1	1	yes	characteristic
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4034	—	2	1	no	—
352	#4034	C₂³	1	1	yes	characteristic
353	#4034	C₂³	1	1	yes	characteristic
354	#4033	—	2	1	no	—
355	#4033	—	2	1	no	—
356	#4033	D₄	1	1	yes	characteristic
357	#4033	C₂³	1	1	yes	characteristic
358	#4032	—	2	1	no	—
359	#4032	—	2	1	no	—
360	#4032	—	2	1	no	—
361	#4032	—	2	1	no	—
362	#4031	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4029	—	2	1	no	—
367	#4029	—	2	1	no	—
368	#4029	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	#4027	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	#4027	D₄	1	1	yes	characteristic
378	#4027	D₄	1	1	yes	characteristic
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	—	2	1	no	—
382	#4025	—	2	1	no	—
383	#4025	—	2	1	no	—
384	#4025	—	2	1	no	—
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4024	—	2	1	no	—
388	#4024	—	2	1	no	—
389	#4024	—	2	1	no	—
390	#4024	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4023	—	2	1	no	—
393	#4023	—	2	1	no	—
394	#4023	—	2	1	no	—
395	#4023	—	2	1	no	—
396	#4023	—	2	1	no	—
397	#4023	—	2	1	no	—
398	#4023	—	2	1	no	—
399	#4023	—	2	1	no	—
400	#4023	D₄	1	1	yes	characteristic
401	#4023	D₄	1	1	yes	characteristic
402	C₄×D₂₀	—	2	1	no	—
403	C₄×D₂₀	C₂³	1	1	yes	characteristic
404	C₄²×D₅	—	2	1	no	—
405	C₄²×D₅	C₂³	1	1	yes	characteristic
406	#4016	—	2	1	no	—
407	#4016	C₂³	1	1	yes	characteristic
408	#4016	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	—	2	1	no	—
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₅×#106	C₂³	1	1	yes	characteristic
413	C₅×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	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	#3967	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	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	#3964	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	C₂²⋊#168	C₂³	1	1	yes	characteristic
442	C₂²⋊#168	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3949	C₂³	1	1	yes	characteristic
453	#3949	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3949	C₂³	1	1	yes	characteristic
456	#3949	C₂³	1	1	yes	characteristic
457	#3948	C₂³	1	1	yes	characteristic
458	#3948	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	#3946	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	C₈×Dic₅	C₂³	1	1	yes	characteristic
466	C₈×Dic₅	C₂³	1	1	yes	characteristic
467	C₈×Dic₅	C₂³	1	1	yes	characteristic
468	C₈×Dic₅	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	C₂³	1	1	yes	characteristic
470	C₈×Dic₅	C₂³	1	1	yes	characteristic
471	C₈×Dic₅	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3941	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3480	—	5	1	no	—
483	#3475	—	5	1	no	—
484	#3394	—	5	1	no	—
485	#3381	—	5	1	no	—
486	#3364	—	5	1	no	—
487	#3361	—	5	1	no	—
488	#3340	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3337	—	5	1	no	—
491	#3305	—	5	1	no	—
492	#3302	—	5	1	no	—
493	#3300	—	5	1	no	—
494	#3300	—	5	1	no	—
495	#3297	—	5	1	no	—
496	#3297	—	5	1	no	—
497	#3284	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3282	D₅	1	1	yes	characteristic, complemented
500	#3168	—	5	1	no	—
501	#3168	—	5	1	no	—
502	#3167	—	5	1	no	—
503	#3104	—	5	1	no	—
504	#3102	—	5	1	no	—
505	#3102	—	5	1	no	—
506	#3102	—	5	1	no	—
507	#3102	—	5	1	no	—
508	#3100	—	5	1	no	—
509	C₈×#41	—	5	1	no	—
510	C₄×#135	—	5	1	no	—
511	C₄×#135	—	5	1	no	—
512	C₂×C₄×SD₁₆	—	5	1	no	—
513	C₂⁴×C₅	—	2	1	no	—
514	C₅×#41	—	2	2	no	—
515	C₅×#41	—	2	2	no	—
516	C₅×#41	—	4	1	no	—
517	C₅×#41	—	4	1	no	—
518	C₂×C₅×Q₈	—	2	1	no	—
519	C₂×C₅×Q₈	—	2	2	no	—
520	C₂×C₅×Q₈	—	4	1	no	—
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×D₄	—	2	2	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	—	2	1	no	—
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	4	1	no	—
531	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
550	C₂²×Dic₅	—	2	1	no	—
551	C₂²×Dic₅	—	2	1	no	—
552	C₂²×Dic₅	—	2	1	no	—
553	C₂²×Dic₅	—	2	1	no	—
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	4	4	no	—
561	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
562	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
563	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
564	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
565	#713	—	2	2	no	—
566	#713	—	4	1	no	—
567	#711	—	2	4	no	—
568	#711	—	2	2	no	—
569	#711	—	4	1	no	—
570	#711	—	4	4	no	—
571	C₂×D₂₀	—	2	1	no	—
572	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	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	C₂×D₄	1	1	yes	characteristic
582	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
583	C₅×Q₁₆	—	2	2	no	—
584	C₅×Q₁₆	—	4	1	no	—
585	C₅×SD₁₆	—	2	2	no	—
586	C₅×SD₁₆	—	2	2	no	—
587	C₅×SD₁₆	—	2	2	no	—
588	C₅×SD₁₆	—	2	2	no	—
589	C₅×SD₁₆	#41	1	4	yes	complemented
590	C₅×D₈	—	2	2	no	—
591	C₅×D₈	—	4	1	no	—
592	C₂×C₅×C₈	—	2	2	no	—
593	C₂×C₅×C₈	—	2	2	no	—
594	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
597	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	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	—	2	1	no	—
632	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
633	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
634	#689	—	2	2	no	—
635	#689	—	4	1	no	—
636	#688	—	4	1	no	—
637	#687	—	4	1	no	—
638	#686	—	2	2	no	—
639	#686	—	4	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	C₂×D₄	1	1	yes	characteristic
651	#685	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	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	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
708	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
709	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
710	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
711	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
712	C₂×#168	—	4	1	no	—
713	C₂×#168	—	4	1	no	—
714	C₂×#168	C₂⁴	1	1	yes	characteristic
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	C₂×#168	C₂⁴	1	1	yes	characteristic
717	C₂×#168	C₂⁴	1	1	yes	characteristic
718	#677	—	2	2	no	—
719	C₈×D₅	—	2	2	no	—
720	C₈×D₅	—	4	1	no	—
721	C₂×#135	—	5	1	no	—
722	C₂×#135	C₂×D₅	1	1	yes	characteristic
723	C₂²×SD₁₆	C₂×D₅	1	1	yes	characteristic
724	#559	—	5	1	no	—
725	#559	—	10	1	no	—
726	#557	—	5	1	no	—
727	#556	—	5	1	no	—
728	#556	—	5	1	no	—
729	#556	—	10	1	no	—
730	#555	—	5	1	no	—
731	#554	—	5	1	no	—
732	#553	—	5	1	no	—
733	#553	—	5	1	no	—
734	#553	—	10	1	no	—
735	#553	—	10	1	no	—
736	#553	—	10	1	no	—
737	#552	—	5	1	no	—
738	#552	—	5	1	no	—
739	#552	—	10	1	no	—
740	#551	—	10	1	no	—
741	#551	—	10	1	no	—
742	#550	—	5	1	no	—
743	#548	—	5	1	no	—
744	#548	C₂×D₅	1	1	yes	characteristic
745	#547	—	5	1	no	—
746	#546	—	5	1	no	—
747	#546	C₂×D₅	1	1	yes	characteristic
748	#533	—	5	1	no	—
749	#532	—	5	1	no	—
750	#532	—	10	1	no	—
751	#529	—	5	1	no	—
752	#529	—	5	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	10	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#529	—	10	1	no	—
759	#525	—	10	1	no	—
760	C₄×#41	—	5	1	no	—
761	C₄×#41	—	5	1	no	—
762	C₄×#41	—	5	1	no	—
763	C₄×#41	—	5	1	no	—
764	C₄×#41	—	5	1	no	—
765	C₄×#41	—	10	1	no	—
766	C₂×C₄×Q₈	—	5	1	no	—
767	C₂×C₄×D₄	—	5	1	no	—
768	C₂×#117	—	10	1	no	—
769	#499	—	5	1	no	—
770	#499	—	5	1	no	—
771	#498	—	5	1	no	—
772	#495	—	5	1	no	—
773	#495	C₂×D₅	1	1	yes	characteristic
774	#492	—	5	1	no	—
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#488	—	5	1	no	—
779	#487	—	5	1	no	—
780	#486	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#485	—	5	1	no	—
785	#484	—	5	1	no	—
786	#484	—	5	1	no	—
787	#482	—	5	1	no	—
788	#482	—	5	1	no	—
789	#482	—	5	1	no	—
790	#482	—	5	1	no	—
791	#480	—	5	1	no	—
792	#480	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	—	5	1	no	—
801	#477	—	5	1	no	—
802	#477	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#467	—	5	1	no	—
806	#467	—	5	1	no	—
807	#466	—	5	1	no	—
808	#466	—	5	1	no	—
809	#465	—	5	1	no	—
810	#465	—	5	1	no	—
811	#465	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#465	—	5	1	no	—
815	#465	C₂×D₅	1	1	yes	characteristic
816	#465	C₂×D₅	1	1	yes	characteristic
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	C₂×D₅	1	1	yes	characteristic
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	—	5	1	no	—
824	#463	C₂×D₅	1	1	yes	characteristic
825	#462	—	5	1	no	—
826	#462	—	5	1	no	—
827	#459	—	5	1	no	—
828	#459	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#452	—	5	1	no	—
832	#452	C₂×D₅	1	1	yes	characteristic
833	#451	—	5	1	no	—
834	#451	C₂×D₅	1	1	yes	characteristic
835	#449	—	5	1	no	—
836	#449	—	5	1	no	—
837	#449	—	5	1	no	—
838	#449	C₂×D₅	1	1	yes	characteristic
839	#447	—	5	1	no	—
840	#447	C₂×D₅	1	1	yes	characteristic
841	C₈×Q₈	—	5	1	no	—
842	C₈×Q₈	—	5	1	no	—
843	C₄×Q₁₆	—	5	1	no	—
844	C₄×Q₁₆	—	5	1	no	—
845	C₄×Q₁₆	—	5	1	no	—
846	C₄×Q₁₆	—	5	1	no	—
847	C₄×Q₁₆	—	5	1	no	—
848	C₄×Q₁₆	—	5	1	no	—
849	C₄×SD₁₆	—	5	1	no	—
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	—	5	1	no	—
854	C₄×SD₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
865	C₄×D₈	—	5	1	no	—
866	C₄×D₈	—	5	1	no	—
867	C₄×D₈	—	5	1	no	—
868	C₄×D₈	—	5	1	no	—
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	C₈×D₄	—	5	1	no	—
875	C₈×D₄	—	5	1	no	—
876	C₈×D₄	C₂×D₅	1	1	yes	characteristic
877	#431	—	5	1	no	—
878	#431	—	5	1	no	—
879	#431	—	5	1	no	—
880	#427	—	5	1	no	—
881	#427	—	5	1	no	—
882	C₂×#106	—	5	1	no	—
883	#416	—	5	1	no	—
884	#416	—	5	1	no	—
885	#416	—	5	1	no	—
886	#416	—	5	1	no	—
887	C₂×#103	—	5	1	no	—
888	C₂×#102	—	5	1	no	—
889	C₂×C₄×C₈	—	5	1	no	—
890	C₂×C₄×C₈	—	5	1	no	—
891	C₂×C₄×C₈	—	5	1	no	—
892	C₂³×C₅	—	2	1	no	—
893	C₂³×C₅	—	2	1	no	—
894	C₂³×C₅	—	2	1	no	—
895	C₂³×C₅	—	4	2	no	—
896	C₂³×C₅	—	4	2	no	—
897	C₂³×C₅	—	8	1	no	—
898	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
899	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
900	C₂²×D₅	—	2	1	no	—
901	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
902	C₅×Q₈	—	2	1	no	—
903	C₅×Q₈	—	2	1	no	—
904	C₅×Q₈	—	2	1	no	—
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	4	2	no	—
908	C₅×Q₈	C₂×#41	1	2	yes	—
909	C₅×D₄	—	2	2	no	—
910	C₅×D₄	—	2	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	2	1	no	—
914	C₅×D₄	—	2	1	no	—
915	C₅×D₄	—	4	2	no	—
916	C₅×D₄	—	4	2	no	—
917	C₅×D₄	—	4	2	no	—
918	C₅×D₄	—	4	2	no	—
919	C₅×D₄	—	8	1	no	—
920	C₅×D₄	C₂×#41	1	2	yes	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	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	—	4	2	no	—
931	C₂×C₄×C₅	—	4	2	no	—
932	C₂×C₄×C₅	—	4	2	no	—
933	C₂×C₄×C₅	—	8	1	no	—
934	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
939	C₂²⋊D₅	—	2	2	no	—
940	C₂²⋊D₅	—	2	2	no	—
941	C₂²⋊D₅	—	4	2	no	—
942	C₂²⋊D₅	—	4	2	no	—
943	C₂²⋊D₅	—	4	2	no	—
944	C₂²⋊D₅	—	8	1	no	—
945	C₂²⋊D₅	—	8	1	no	—
946	C₂²⋊D₅	—	8	1	no	—
947	C₂²⋊D₅	—	8	1	no	—
948	C₂×Dic₅	—	2	2	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	2	1	no	—
951	C₂×Dic₅	—	2	1	no	—
952	C₂×Dic₅	—	2	1	no	—
953	C₂×Dic₅	—	2	1	no	—
954	C₂×Dic₅	—	2	1	no	—
955	C₂×Dic₅	—	2	1	no	—
956	C₂×Dic₅	—	4	1	no	—
957	C₂×Dic₅	—	4	1	no	—
958	C₂×Dic₅	—	4	2	no	—
959	C₂×Dic₅	—	4	2	no	—
960	C₂×Dic₅	—	4	2	no	—
961	C₂×Dic₅	—	4	2	no	—
962	C₂×Dic₅	—	4	2	no	—
963	C₂×Dic₅	—	4	2	no	—
964	C₂×Dic₅	—	4	2	no	—
965	C₂×Dic₅	—	8	1	no	—
966	C₂×Dic₅	—	8	1	no	—
967	C₂×Dic₅	—	8	1	no	—
968	C₂×Dic₅	#135	1	4	yes	complemented
969	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	D₂₀	—	2	1	no	—
977	D₂₀	—	2	1	no	—
978	D₂₀	—	4	2	no	—
979	C₄×D₅	—	2	1	no	—
980	C₄×D₅	—	2	1	no	—
981	C₄×D₅	—	2	2	no	—
982	C₄×D₅	—	4	1	no	—
983	C₄×D₅	—	4	2	no	—
984	C₄×D₅	—	4	2	no	—
985	C₄×D₅	—	8	1	no	—
986	Dic₁₀	—	2	2	no	—
987	Dic₁₀	—	2	1	no	—
988	Dic₁₀	—	2	1	no	—
989	Dic₁₀	—	4	2	no	—
990	Dic₁₀	—	8	1	no	—
991	C₅×C₈	—	2	1	no	—
992	C₅×C₈	—	2	1	no	—
993	C₅×C₈	—	2	1	no	—
994	C₅×C₈	C₂×#41	1	2	yes	—
995	#168	—	2	1	no	—
996	#168	—	2	1	no	—
997	#168	—	2	1	no	—
998	#168	—	2	1	no	—
999	C₂×#41	—	5	1	no	—
1000	C₂×#41	—	5	1	no	—
1001	C₂×#41	—	5	1	no	—
1002	C₂×#41	—	10	1	no	—
1003	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1004	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1005	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1006	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1007	C₂³×C₄	—	10	1	no	—
1008	#135	—	2	4	no	—
1009	#135	—	10	4	no	—
1010	C₂×Q₁₆	—	5	1	no	—
1011	C₂×Q₁₆	—	5	1	no	—
1012	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1013	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1014	C₂×SD₁₆	—	2	4	no	—
1015	C₂×SD₁₆	—	5	1	no	—
1016	C₂×SD₁₆	—	5	1	no	—
1017	C₂×SD₁₆	—	5	1	no	—
1018	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1019	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1020	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1021	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1022	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1023	C₂×D₈	—	5	1	no	—
1024	C₂×D₈	—	5	1	no	—
1025	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1026	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1027	C₂²×C₈	—	5	1	no	—
1028	C₂²×C₈	—	5	1	no	—
1029	C₂²×C₈	—	5	1	no	—
1030	C₂²×C₈	—	5	1	no	—
1031	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1032	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1033	C₄⋊Q₈	—	5	1	no	—
1034	C₄⋊Q₈	—	5	1	no	—
1035	C₄⋊Q₈	—	5	1	no	—
1036	C₄⋊Q₈	—	10	1	no	—
1037	#127	—	5	1	no	—
1038	#127	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#126	—	10	1	no	—
1046	#126	—	10	1	no	—
1047	#126	—	10	1	no	—
1048	#126	—	10	1	no	—
1049	#126	—	10	1	no	—
1050	#126	—	10	1	no	—
1051	#125	—	5	1	no	—
1052	#125	—	5	1	no	—
1053	#125	—	5	1	no	—
1054	#125	—	5	1	no	—
1055	#125	—	10	1	no	—
1056	#125	—	10	1	no	—
1057	#125	—	10	1	no	—
1058	#125	—	10	1	no	—
1059	#125	—	10	1	no	—
1060	#124	—	2	1	no	—
1061	#124	—	5	1	no	—
1062	#124	—	5	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	—	10	1	no	—
1068	#124	—	10	1	no	—
1069	#124	C₂²×D₅	1	1	yes	characteristic
1070	#124	C₂²×D₅	1	1	yes	characteristic
1071	#123	—	2	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	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	C₂²⋊Q₈	—	2	1	no	—
1086	C₂²⋊Q₈	—	5	1	no	—
1087	C₂²⋊Q₈	—	5	1	no	—
1088	C₂²⋊Q₈	—	5	1	no	—
1089	C₂²⋊Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1097	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1098	#121	—	2	1	no	—
1099	#121	—	2	1	no	—
1100	#121	—	5	1	no	—
1101	#121	—	5	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	C₂²×D₅	1	1	yes	characteristic
1114	#121	C₂²×D₅	1	1	yes	characteristic
1115	#120	—	2	1	no	—
1116	#120	—	10	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	5	1	no	—
1120	C₄×Q₈	—	5	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	—	10	1	no	—
1132	C₄×Q₈	—	10	1	no	—
1133	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1134	C₄×D₄	—	2	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
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	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1170	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1171	#117	—	5	1	no	—
1172	#117	—	5	1	no	—
1173	#117	—	5	1	no	—
1174	#117	—	5	1	no	—
1175	#117	—	5	1	no	—
1176	#117	—	5	1	no	—
1177	#117	—	5	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	#117	—	10	1	no	—
1184	#117	—	10	1	no	—
1185	#117	—	10	1	no	—
1186	#117	—	10	1	no	—
1187	#117	—	10	1	no	—
1188	#117	—	10	1	no	—
1189	#117	—	10	1	no	—
1190	#117	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	5	1	no	—
1192	C₂×C₄⋊C₄	—	5	1	no	—
1193	C₂×C₄⋊C₄	—	10	1	no	—
1194	C₂×C₄⋊C₄	—	10	1	no	—
1195	C₂×C₄⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	2	1	no	—
1197	C₂×C₂²⋊C₄	—	10	1	no	—
1198	C₂×C₂²⋊C₄	—	10	1	no	—
1199	C₂×C₄²	—	5	1	no	—
1200	C₂×C₄²	—	5	1	no	—
1201	C₂×C₄²	—	5	1	no	—
1202	C₂×C₄²	—	10	1	no	—
1203	C₂×C₄²	—	10	1	no	—
1204	C₂×C₄²	—	10	1	no	—
1205	C₂×C₄²	—	10	1	no	—
1206	C₂×C₄²	—	10	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	—	5	1	no	—
1210	#107	—	5	1	no	—
1211	#107	—	5	1	no	—
1212	#107	—	5	1	no	—
1213	#107	—	5	1	no	—
1214	#107	—	5	1	no	—
1215	#106	—	5	1	no	—
1216	#106	—	5	1	no	—
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	—	5	1	no	—
1220	#106	—	5	1	no	—
1221	#106	—	5	1	no	—
1222	#106	C₂²×D₅	1	1	yes	characteristic
1223	C₄⋊C₈	—	5	1	no	—
1224	C₄⋊C₈	—	5	1	no	—
1225	C₄⋊C₈	—	5	1	no	—
1226	C₄⋊C₈	—	5	1	no	—
1227	C₄⋊C₈	—	5	1	no	—
1228	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	—	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	#103	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1259	#102	C₂²×D₅	1	1	yes	characteristic
1260	#102	C₂²×D₅	1	1	yes	characteristic
1261	C₂²⋊C₈	—	5	1	no	—
1262	C₂²⋊C₈	—	5	1	no	—
1263	C₂²⋊C₈	—	5	1	no	—
1264	C₂²⋊C₈	—	5	1	no	—
1265	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1266	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	—	5	1	no	—
1270	C₄×C₈	—	5	1	no	—
1271	C₄×C₈	—	5	1	no	—
1272	C₄×C₈	—	5	1	no	—
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	—	5	1	no	—
1276	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1277	C₂²×C₅	—	2	1	no	—
1278	C₂²×C₅	—	2	1	no	—
1279	C₂²×C₅	—	2	1	no	—
1280	C₂²×C₅	—	2	2	no	—
1281	C₂²×C₅	—	2	1	no	—
1282	C₂²×C₅	—	2	1	no	—
1283	C₂²×C₅	—	4	1	no	—
1284	C₂²×C₅	—	4	1	no	—
1285	C₂²×C₅	—	4	1	no	—
1286	C₂²×C₅	—	4	1	no	—
1287	C₂²×C₅	—	4	1	no	—
1288	C₂²×C₅	—	4	1	no	—
1289	C₂²×C₅	—	4	1	no	—
1290	C₂²×C₅	—	4	1	no	—
1291	C₂²×C₅	—	8	4	no	—
1292	C₂²×C₅	C₂×#135	1	2	yes	—
1293	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	2	1	no	—
1296	C₂×D₅	—	2	1	no	—
1297	C₂×D₅	—	4	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₄×C₅	—	2	1	no	—
1301	C₄×C₅	—	2	2	no	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	4	1	no	—
1306	C₄×C₅	—	4	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1310	C₄×C₅	#585	1	1	yes	characteristic
1311	Dic₅	—	2	1	no	—
1312	Dic₅	—	2	1	no	—
1313	Dic₅	—	2	1	no	—
1314	Dic₅	—	2	1	no	—
1315	Dic₅	—	2	1	no	—
1316	Dic₅	—	4	1	no	—
1317	Dic₅	—	4	1	no	—
1318	Dic₅	—	4	1	no	—
1319	Dic₅	—	4	1	no	—
1320	Dic₅	—	4	1	no	—
1321	Dic₅	—	4	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	C₂×#135	1	2	yes	—
1324	Dic₅	C₂×#135	1	2	yes	—
1325	C₂⁴	—	2	1	no	—
1326	#41	—	2	2	no	—
1327	#41	—	2	2	no	—
1328	#41	—	4	1	no	—
1329	#41	—	4	1	no	—
1330	#41	—	10	4	no	—
1331	#41	—	10	2	no	—
1332	#41	—	10	2	no	—
1333	#41	—	20	4	no	—
1334	#41	—	20	1	no	—
1335	#41	—	20	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	2	no	—
1338	C₂×Q₈	—	4	1	no	—
1339	C₂×Q₈	—	5	1	no	—
1340	C₂×Q₈	—	5	1	no	—
1341	C₂×Q₈	—	10	1	no	—
1342	C₂×Q₈	—	10	1	no	—
1343	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1344	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1345	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1346	C₂×D₄	—	2	2	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	4	1	no	—
1353	C₂×D₄	—	5	1	no	—
1354	C₂×D₄	—	5	1	no	—
1355	C₂×D₄	—	5	1	no	—
1356	C₂×D₄	—	10	1	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	D₄×D₅	1	1	yes	characteristic
1365	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1366	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1367	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	5	1	no	—
1373	C₂²×C₄	—	5	1	no	—
1374	C₂²×C₄	—	5	1	no	—
1375	C₂²×C₄	—	5	1	no	—
1376	C₂²×C₄	—	5	1	no	—
1377	C₂²×C₄	—	5	1	no	—
1378	C₂²×C₄	—	5	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	—	20	4	no	—
1393	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1394	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1395	Q₁₆	—	2	2	no	—
1396	Q₁₆	—	4	1	no	—
1397	Q₁₆	—	10	2	no	—
1398	Q₁₆	—	20	1	no	—
1399	SD₁₆	—	2	2	no	—
1400	SD₁₆	—	2	2	no	—
1401	SD₁₆	—	2	2	no	—
1402	SD₁₆	—	2	2	no	—
1403	SD₁₆	—	10	2	no	—
1404	SD₁₆	—	20	1	no	—
1405	SD₁₆	—	20	1	no	—
1406	SD₁₆	#711	1	4	yes	complemented
1407	D₈	—	2	2	no	—
1408	D₈	—	4	1	no	—
1409	D₈	—	10	2	no	—
1410	D₈	—	20	1	no	—
1411	C₂×C₈	—	2	2	no	—
1412	C₂×C₈	—	2	2	no	—
1413	C₂×C₈	—	5	1	no	—
1414	C₂×C₈	—	5	1	no	—
1415	C₂×C₈	—	5	1	no	—
1416	C₂×C₈	—	5	1	no	—
1417	C₂×C₈	—	10	2	no	—
1418	C₂×C₈	—	20	1	no	—
1419	C₂×C₈	—	20	1	no	—
1420	C₂×C₈	—	20	1	no	—
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	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	5	1	no	—
1429	C₄⋊C₄	—	5	1	no	—
1430	C₄⋊C₄	—	5	1	no	—
1431	C₄⋊C₄	—	5	1	no	—
1432	C₄⋊C₄	—	5	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	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	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	D₄×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1468	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	5	1	no	—
1479	C₂²⋊C₄	—	5	1	no	—
1480	C₂²⋊C₄	—	5	1	no	—
1481	C₂²⋊C₄	—	5	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	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	D₄×D₅	1	1	yes	characteristic
1508	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1509	C₄²	—	2	1	no	—
1510	C₄²	—	5	1	no	—
1511	C₄²	—	5	1	no	—
1512	C₄²	—	5	1	no	—
1513	C₄²	—	5	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	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	—	10	1	no	—
1528	C₄²	—	10	1	no	—
1529	C₄²	—	10	1	no	—
1530	C₄²	—	10	1	no	—
1531	C₄²	—	10	1	no	—
1532	C₄²	C₂³×D₅	1	1	yes	characteristic
1533	C₂×C₅	—	2	2	no	—
1534	C₂×C₅	—	4	1	no	—
1535	C₂×C₅	—	4	2	no	—
1536	C₂×C₅	—	8	1	no	—
1537	C₂×C₅	—	8	1	no	—
1538	C₂×C₅	D₄×#41	1	1	yes	characteristic
1539	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1540	C₂×C₅	#3584	1	1	yes	characteristic
1541	D₅	—	4	1	no	—
1542	D₅	—	8	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	4	2	no	—
1547	C₂³	—	4	2	no	—
1548	C₂³	—	5	1	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	—	10	1	no	—
1551	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1552	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	2	1	no	—
1557	Q₈	—	2	1	no	—
1558	Q₈	—	4	2	no	—
1559	Q₈	—	10	2	no	—
1560	Q₈	—	10	1	no	—
1561	Q₈	—	10	1	no	—
1562	Q₈	—	20	2	no	—
1563	Q₈	—	40	1	no	—
1564	Q₈	C₂×#711	1	2	yes	—
1565	D₄	—	2	2	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	4	2	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	4	2	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	10	2	no	—
1577	D₄	—	10	2	no	—
1578	D₄	—	10	1	no	—
1579	D₄	—	10	1	no	—
1580	D₄	—	20	2	no	—
1581	D₄	—	20	2	no	—
1582	D₄	—	20	2	no	—
1583	D₄	—	20	2	no	—
1584	D₄	—	40	1	no	—
1585	D₄	—	40	1	no	—
1586	D₄	—	40	1	no	—
1587	D₄	—	40	1	no	—
1588	D₄	C₂×#711	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	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	4	2	no	—
1599	C₂×C₄	—	4	2	no	—
1600	C₂×C₄	—	4	2	no	—
1601	C₂×C₄	—	5	4	no	—
1602	C₂×C₄	—	5	1	no	—
1603	C₂×C₄	—	5	1	no	—
1604	C₂×C₄	—	5	1	no	—
1605	C₂×C₄	—	5	1	no	—
1606	C₂×C₄	—	5	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	10	2	no	—
1611	C₂×C₄	—	10	2	no	—
1612	C₂×C₄	—	10	1	no	—
1613	C₂×C₄	—	10	1	no	—
1614	C₂×C₄	—	10	1	no	—
1615	C₂×C₄	—	10	1	no	—
1616	C₂×C₄	—	10	1	no	—
1617	C₂×C₄	—	10	1	no	—
1618	C₂×C₄	—	10	1	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	10	1	no	—
1621	C₂×C₄	—	20	1	no	—
1622	C₂×C₄	—	20	2	no	—
1623	C₂×C₄	—	20	2	no	—
1624	C₂×C₄	—	20	2	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	20	2	no	—
1627	C₂×C₄	—	20	2	no	—
1628	C₂×C₄	—	20	2	no	—
1629	C₂×C₄	—	20	1	no	—
1630	C₂×C₄	—	20	1	no	—
1631	C₂×C₄	—	20	2	no	—
1632	C₂×C₄	—	20	2	no	—
1633	C₂×C₄	—	40	1	no	—
1634	C₂×C₄	—	40	1	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	—	40	1	no	—
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	C₂×D₄×D₅	1	1	yes	characteristic
1641	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
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	C₈	C₂×#711	1	2	yes	—
1650	C₅	#61428	1	1	yes	characteristic, complemented, Sylow
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	2	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	8	4	no	—
1666	C₂²	—	10	1	no	—
1667	C₂²	—	10	1	no	—
1668	C₂²	—	10	1	no	—
1669	C₂²	—	20	1	no	—
1670	C₂²	—	20	1	no	—
1671	C₂²	—	20	1	no	—
1672	C₂²	D₅×#135	1	2	yes	—
1673	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	2	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	5	2	no	—
1684	C₄	—	5	2	no	—
1685	C₄	—	10	1	no	—
1686	C₄	—	10	1	no	—
1687	C₄	—	10	1	no	—
1688	C₄	—	10	1	no	—
1689	C₄	—	10	1	no	—
1690	C₄	—	20	1	no	—
1691	C₄	—	20	1	no	—
1692	C₄	—	20	1	no	—
1693	C₄	—	20	1	no	—
1694	C₄	—	20	1	no	—
1695	C₄	—	20	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	C₂²×#711	1	1	yes	characteristic
1698	C₄	#66285	1	1	yes	characteristic
1699	C₂	—	2	2	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	4	2	no	—
1702	C₂	—	8	1	no	—
1703	C₂	—	8	1	no	—
1704	C₂	—	20	1	no	—
1705	C₂	—	40	1	no	—
1706	C₂	D₄×#711	1	1	yes	characteristic
1707	C₂	C₂×D₅×#135	1	1	yes	characteristic
1708	C₂	#10619107	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×#3282	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3282	D₅
hypocenter	C₅	#61428
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3282

Complements

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

N	H ≅ G/N	type
1. #10618612	C₂	semidirect
2. #10618528	C₂	semidirect
3. C₅×#3282	C₂	semidirect
4. #10615658	C₂	semidirect
5. Dic₅×#135	C₂	semidirect
6. #10615598	C₂	semidirect
7. C₂×SD₁₆×Dic₅	C₂	semidirect
8. #10615265	C₂	semidirect
9. #10615226	C₂	semidirect
10. #10613545	C₂	semidirect
11. #10613540	C₂	semidirect
12. #10612381	C₂	semidirect
13. #10612380	C₂	semidirect
14. #10612364	C₂	semidirect
15. #10612363	C₂	semidirect
16. #10612311	C₂	semidirect
17. #10612299	C₂	semidirect
18. #10612248	C₂	semidirect
19. #10612235	C₂	semidirect
20. #10611979	C₂	semidirect
21. #10611943	C₂	semidirect
22. #10611925	C₂	semidirect
23. #10611903	C₂	semidirect
24. #10611836	C₂	semidirect
25. #10611799	C₂	semidirect
26. #10611746	C₂	semidirect
27. #10611719	C₂	semidirect
28. C₄×#4062	C₂	semidirect
29. #10611364	C₂	semidirect
30. #10611145	C₂	semidirect
31. C₈×#711	C₂	semidirect
36. #66168	C₂²	semidirect
38. #41×Dic₅	C₂²	semidirect
46. #66015	C₂²	semidirect
49. #66014	C₂²	semidirect
55. #65975	C₂²	semidirect
57. #65958	C₂²	semidirect
69. C₄×#713	C₂²	semidirect
70. #65903	C₂²	semidirect
91. #65528	C₂²	semidirect
94. #65522	C₂²	semidirect
99. #65477	C₂²	semidirect
100. #65476	C₂²	semidirect
101. #65474	C₂²	semidirect
102. Q₁₆×Dic₅	C₂²	semidirect
103. Q₁₆×Dic₅	C₂²	semidirect
104. Q₁₆×Dic₅	C₂²	semidirect
105. #65471	C₂²	semidirect
106. #65471	C₂²	semidirect
107. #65464	C₂²	semidirect
111. #65460	C₂²	semidirect
124. SD₁₆×Dic₅	C₂²	semidirect
125. SD₁₆×Dic₅	C₂²	semidirect
135. #65403	C₂²	semidirect
137. C₈×C₂²⋊D₅	C₂²	semidirect
138. #65395	C₂²	semidirect
141. C₂×C₈×Dic₅	C₂²	semidirect
144. #65345	C₂²	semidirect
145. #65343	C₂²	semidirect
146. #65340	C₂²	semidirect
148. #65334	C₂²	semidirect
154. C₄×#689	C₂²	semidirect
155. #65311	C₂²	semidirect
159. #65149	C₂²	semidirect
160. #65147	C₂²	semidirect
161. #65144	C₂²	semidirect
162. #65141	C₂²	semidirect
163. #65136	C₂²	semidirect
164. #65122	C₂²	semidirect
165. #65119	C₂²	semidirect
166. #65118	C₂²	semidirect
167. #65104	C₂²	semidirect
168. #65103	C₂²	semidirect
169. #65093	C₂²	semidirect
170. #65089	C₂²	semidirect
171. #65088	C₂²	semidirect
172. #65085	C₂²	semidirect
173. #65083	C₂²	semidirect
174. #65083	C₂²	semidirect
175. #65081	C₂²	semidirect
176. #65079	C₂²	semidirect
177. #65079	C₂²	semidirect
178. #65077	C₂²	semidirect
180. #65068	C₂²	semidirect
184. #65052	C₂²	semidirect
185. #65049	C₂²	semidirect
188. #65047	C₂²	semidirect
191. #65026	C₂²	semidirect
194. #65014	C₂²	semidirect
195. #65012	C₂²	semidirect
198. #65007	C₂²	semidirect
199. C₄×#677	C₂²	semidirect
200. C₄×C₈×D₅	C₂²	semidirect
201. #64972	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
499. #3282	D₅	semidirect
589. C₅×SD₁₆	#41	semidirect
968. C₂×Dic₅	#135	semidirect
1406. SD₁₆	#711	semidirect
1650. C₅	#61428	semidirect

Maximal subgroups

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

subgroup	index
#10618612	2
#10618528	2
C₅×#3282	2
#10615658	2
Dic₅×#135	2
#10615598	2
C₂×SD₁₆×Dic₅	2
#10615265	2
#10615226	2
#10613545	2
#10613540	2
#10612381	2
#10612380	2
#10612364	2
#10612363	2
#10612311	2
#10612299	2
#10612248	2
#10612235	2
#10611979	2
#10611943	2
#10611925	2
#10611903	2
#10611836	2
#10611799	2
#10611746	2
#10611719	2
C₄×#4062	2
#10611364	2
#10611145	2
C₈×#711	2
#61428	5