Subgroups — #14484180

Order 1920.

2264 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756286	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65865	C₂	1	1	yes	maximal, characteristic, complemented
4	#11754656	C₂	1	1	yes	maximal, characteristic, complemented
5	#11754420	C₂	1	1	yes	maximal, characteristic, complemented
6	#11754346	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#91403	C₂	1	1	yes	maximal, characteristic, complemented
8	#11753920	C₂	1	1	yes	maximal, characteristic, complemented
9	#11753866	C₂	1	1	yes	maximal, characteristic, complemented
10	#11753563	C₂	1	1	yes	maximal, characteristic, complemented
11	#11753544	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753537	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753467	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753384	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753348	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753271	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753203	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753110	C₂	1	1	yes	maximal, characteristic, complemented
19	#11752982	C₂	1	1	yes	maximal, characteristic, complemented
20	#11752942	C₂	1	1	yes	maximal, characteristic, complemented
21	#11752849	C₂	1	1	yes	maximal, characteristic, complemented
22	#11752823	C₂	1	1	yes	maximal, characteristic, complemented
23	#11752809	C₂	1	1	yes	maximal, characteristic, complemented
24	#11752767	C₂	1	1	yes	maximal, characteristic, complemented
25	D₃×#4018	C₂	1	1	yes	maximal, characteristic, complemented
26	#11752701	C₂	1	1	yes	maximal, characteristic, complemented
27	#11752692	C₂	1	1	yes	maximal, characteristic, complemented
28	#11752689	C₂	1	1	yes	maximal, characteristic, complemented
29	#11752615	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752582	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#6769	C₂	1	1	yes	maximal, characteristic, complemented
32	#10617742	—	3	1	no	maximal, Hall
33	C₂×C₅×#235	C₂²	1	1	yes	characteristic
34	C₂×#6790	C₂²	1	1	yes	characteristic
35	C₂²×#1200	C₂²	1	1	yes	characteristic
36	C₂×#6782	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
38	C₂×#6769	C₂²	1	1	yes	characteristic
39	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
40	#91818	C₂²	1	1	yes	characteristic, complemented
41	C₂×#6714	C₂²	1	1	yes	characteristic
42	#91787	C₂²	1	1	yes	characteristic, complemented
43	#91785	C₂²	1	1	yes	characteristic
44	#91783	C₂²	1	1	yes	characteristic
45	#91783	C₂²	1	1	yes	characteristic, complemented
46	#91771	C₂²	1	1	yes	characteristic
47	#91770	C₂²	1	1	yes	characteristic, complemented
48	C₂²⋊C₄×D₁₅	C₂²	1	1	yes	characteristic
49	#91767	C₂²	1	1	yes	characteristic, complemented
50	#91765	C₂²	1	1	yes	characteristic, complemented
51	#91764	C₂²	1	1	yes	characteristic, complemented
52	C₄×D₆₀	C₂²	1	1	yes	characteristic
53	#91761	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
55	C₅×#893	C₂²	1	1	yes	characteristic, complemented
56	C₅×#893	C₂²	1	1	yes	characteristic, complemented
57	C₅×#887	C₂²	1	1	yes	characteristic, complemented
58	C₅×#887	C₂²	1	1	yes	characteristic, complemented
59	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
60	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
61	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
63	C₅×#872	C₂²	1	1	yes	characteristic, complemented
64	C₅×#872	C₂²	1	1	yes	characteristic, complemented
65	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
66	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
67	C₃×#4075	C₂²	1	1	yes	characteristic
68	C₂×C₃×#683	C₂²	1	1	yes	characteristic, complemented
69	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
70	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
71	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
72	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
73	C₃×#4032	C₂²	1	1	yes	characteristic
74	C₃×#4027	C₂²	1	1	yes	characteristic
75	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4023	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4022	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4016	C₂²	1	1	yes	characteristic, complemented
80	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
81	#91575	C₂²	1	1	yes	characteristic, complemented
82	#91573	C₂²	1	1	yes	characteristic
83	#91571	C₂²	1	1	yes	characteristic
84	#91569	C₂²	1	1	yes	characteristic
85	#91566	C₂²	1	1	yes	characteristic, complemented
86	#67⋊Dic₅	C₂²	1	1	yes	characteristic
87	#91556	C₂²	1	1	yes	characteristic, complemented
88	Dic₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
89	Dic₅×#67	C₂²	1	1	yes	characteristic
90	C₂×#6668	C₂²	1	1	yes	characteristic, complemented
91	C₂×#6667	C₂²	1	1	yes	characteristic
92	#91539	C₂²	1	1	yes	characteristic, complemented
93	C₂×Dic₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
94	#91476	C₂²	1	1	yes	characteristic
95	#91475	C₂²	1	1	yes	characteristic
96	#91473	C₂²	1	1	yes	characteristic
97	D₃×#685	C₂²	1	1	yes	characteristic
98	D₃×#685	C₂²	1	1	yes	characteristic
99	#91462	C₂²	1	1	yes	characteristic, complemented
100	#91460	C₂²	1	1	yes	characteristic
101	#91459	C₂²	1	1	yes	characteristic
102	#91455	C₂²	1	1	yes	characteristic
103	#91454	C₂²	1	1	yes	characteristic
104	#91452	C₂²	1	1	yes	characteristic, complemented
105	#91448	C₂²	1	1	yes	characteristic, complemented
106	#91446	C₂²	1	1	yes	characteristic
107	#91446	C₂²	1	1	yes	characteristic
108	#91446	C₂²	1	1	yes	characteristic, complemented
109	#91446	C₂²	1	1	yes	characteristic, complemented
110	#91446	C₂²	1	1	yes	characteristic, complemented
111	C₄×#1203	C₂²	1	1	yes	characteristic
112	C₄×#1203	C₂²	1	1	yes	characteristic, complemented
113	#91444	C₂²	1	1	yes	characteristic
114	#91441	C₂²	1	1	yes	characteristic, complemented
115	#91438	C₂²	1	1	yes	characteristic
116	#91433	C₂²	1	1	yes	characteristic
117	#91429	C₂²	1	1	yes	characteristic
118	#91428	C₂²	1	1	yes	characteristic
119	#91428	C₂²	1	1	yes	characteristic, complemented
120	#91427	C₂²	1	1	yes	characteristic
121	#91424	C₂²	1	1	yes	characteristic
122	#91424	C₂²	1	1	yes	characteristic, complemented
123	#91423	C₂²	1	1	yes	characteristic, complemented
124	#91420	C₂²	1	1	yes	characteristic, complemented
125	#91417	C₂²	1	1	yes	characteristic, complemented
126	#91416	C₂²	1	1	yes	characteristic
127	#91416	C₂²	1	1	yes	characteristic, complemented
128	#91411	C₂²	1	1	yes	characteristic, complemented
129	#91410	C₂²	1	1	yes	characteristic, complemented
130	#91406	C₂²	1	1	yes	characteristic, complemented
131	#91405	C₂²	1	1	yes	characteristic
132	#91404	C₂²	1	1	yes	characteristic
133	#91403	C₂²	1	1	yes	characteristic
134	#91403	C₂²	1	1	yes	characteristic
135	#91403	C₂²	1	1	yes	characteristic
136	#91403	C₂²	1	1	yes	characteristic
137	#91403	C₂²	1	1	yes	characteristic
138	#91403	C₂²	1	1	yes	characteristic, complemented
139	#91403	C₂²	1	1	yes	characteristic, complemented
140	#91403	C₂²	1	1	yes	characteristic, complemented
141	#91403	C₂²	1	1	yes	characteristic, complemented
142	#91403	C₂²	1	1	yes	characteristic, complemented
143	#91402	C₂²	1	1	yes	characteristic, complemented
144	C₄×#1200	C₂²	1	1	yes	characteristic
145	C₄×#1200	C₂²	1	1	yes	characteristic, complemented
146	D₃×#683	C₂²	1	1	yes	characteristic, complemented
147	D₃×#683	C₂²	1	1	yes	characteristic, complemented
148	#91398	C₂²	1	1	yes	characteristic, complemented
149	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
150	#91395	C₂²	1	1	yes	characteristic
151	#91395	C₂²	1	1	yes	characteristic, complemented
152	#91393	C₂²	1	1	yes	characteristic, complemented
153	#91393	C₂²	1	1	yes	characteristic, complemented
154	#91387	C₂²	1	1	yes	characteristic, complemented
155	#91386	C₂²	1	1	yes	characteristic
156	#91380	C₂²	1	1	yes	characteristic, complemented
157	#91380	C₂²	1	1	yes	characteristic, complemented
158	#91380	C₂²	1	1	yes	characteristic, complemented
159	#91379	C₂²	1	1	yes	characteristic, complemented
160	#91379	C₂²	1	1	yes	characteristic, complemented
161	#91378	C₂²	1	1	yes	characteristic, complemented
162	#91377	C₂²	1	1	yes	characteristic
163	#91367	C₂²	1	1	yes	characteristic, complemented
164	#91365	C₂²	1	1	yes	characteristic, complemented
165	#91363	C₂²	1	1	yes	characteristic, complemented
166	#91362	C₂²	1	1	yes	characteristic, complemented
167	#91357	C₂²	1	1	yes	characteristic, complemented
168	#91355	C₂²	1	1	yes	characteristic
169	#91354	C₂²	1	1	yes	characteristic, complemented
170	#91353	C₂²	1	1	yes	characteristic
171	#91353	C₂²	1	1	yes	characteristic, complemented
172	#91352	C₂²	1	1	yes	characteristic, complemented
173	#91351	C₂²	1	1	yes	characteristic
174	#91351	C₂²	1	1	yes	characteristic, complemented
175	#91351	C₂²	1	1	yes	characteristic, complemented
176	#91350	C₂²	1	1	yes	characteristic, complemented
177	#91346	C₂²	1	1	yes	characteristic, complemented
178	#91341	C₂²	1	1	yes	characteristic, complemented
179	#91340	C₂²	1	1	yes	characteristic, complemented
180	#91339	C₂²	1	1	yes	characteristic, complemented
181	#91338	C₂²	1	1	yes	characteristic, complemented
182	Dic₃×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
183	#91329	C₂²	1	1	yes	characteristic, complemented
184	#91328	C₂²	1	1	yes	characteristic, complemented
185	#91325	C₂²	1	1	yes	characteristic, complemented
186	#91324	C₂²	1	1	yes	characteristic, complemented
187	#91324	C₂²	1	1	yes	characteristic, complemented
188	#86827	—	5	1	no	maximal, Hall
189	C₄×C₅×#41	—	3	1	no	—
190	#66163	—	3	1	no	—
191	#66158	—	3	1	no	—
192	#65915	—	3	1	no	—
193	#65914	—	3	1	no	—
194	#65912	—	3	1	no	—
195	#65902	—	3	1	no	—
196	#65890	—	3	1	no	—
197	#65890	—	3	1	no	—
198	#65888	—	3	1	no	—
199	#65881	—	3	1	no	—
200	#65881	—	3	1	no	—
201	C₄×D₄×D₅	—	3	1	no	—
202	#65874	—	3	1	no	—
203	#65874	—	3	1	no	—
204	#65873	—	3	1	no	—
205	#65872	—	3	1	no	—
206	#65872	—	3	1	no	—
207	C₄×#711	—	3	1	no	—
208	#65866	—	3	1	no	—
209	#65865	—	3	1	no	—
210	#65865	D₃	1	1	yes	characteristic, complemented
211	#65863	—	3	1	no	—
212	#65861	—	3	1	no	—
213	#65861	—	3	1	no	—
214	#65813	—	3	1	no	—
215	#65813	—	3	1	no	—
216	#65813	—	3	1	no	—
217	C₄×#709	—	3	1	no	—
218	C₂×#4018	—	3	1	no	—
219	C₂×#4018	—	3	1	no	—
220	C₂³×D₁₅	C₂³	1	1	yes	characteristic
221	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
222	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
223	C₂×#1220	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic
225	C₂×D₆₀	C₂³	1	1	yes	characteristic
226	C₂×D₆₀	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
230	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
231	C₂×C₅×#67	C₂³	1	1	yes	characteristic
232	C₂×C₅×#67	C₂³	1	1	yes	characteristic
233	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
234	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
235	C₅×#235	—	2	4	no	—
236	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
237	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
238	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
239	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
240	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
241	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
242	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
243	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
245	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
246	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
248	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
249	#6790	—	2	4	no	—
250	C₂×#1204	C₂³	1	1	yes	characteristic
251	C₂×#1204	C₂³	1	1	yes	characteristic
252	C₂×#1203	C₂³	1	1	yes	characteristic
253	C₂×#1203	C₂³	1	1	yes	characteristic
254	C₂×#1203	C₂³	1	1	yes	characteristic
255	C₂×#1203	C₂³	1	1	yes	characteristic
256	C₂×#1203	C₂³	1	1	yes	characteristic
257	C₂×#1202	C₂³	1	1	yes	characteristic
258	C₂×#1202	C₂³	1	1	yes	characteristic
259	C₂×#1201	C₂³	1	1	yes	characteristic
260	C₂×#1200	—	2	4	no	—
261	C₂×#1200	C₂³	1	1	yes	characteristic
262	C₂×#1200	C₂³	1	1	yes	characteristic
263	C₂×#1200	C₂³	1	1	yes	characteristic
264	C₂×#1200	C₂³	1	1	yes	characteristic
265	C₂×#1200	C₂³	1	1	yes	characteristic
266	C₂×#1200	C₂³	1	1	yes	characteristic
267	C₂×#1200	C₂³	1	1	yes	characteristic
268	#6782	—	2	4	no	—
269	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
270	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
271	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
272	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
273	C₄×D₃×D₅	—	2	4	no	—
274	#6769	—	2	4	no	—
275	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
280	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
281	#6719	C₂³	1	1	yes	characteristic
282	#6714	C₂³	1	1	yes	characteristic
283	#6714	C₂³	1	1	yes	characteristic
284	#6714	C₂³	1	1	yes	characteristic
285	#6714	C₂³	1	1	yes	characteristic
286	#6714	C₂³	1	1	yes	characteristic
287	#6714	C₂³	1	1	yes	characteristic
288	#6714	C₂³	1	1	yes	characteristic
289	#6714	C₂³	1	1	yes	characteristic
290	#6714	C₂³	1	1	yes	characteristic
291	#6714	C₂³	1	1	yes	characteristic
292	#6714	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
294	#6712	C₂³	1	1	yes	characteristic
295	#6712	C₂³	1	1	yes	characteristic
296	#6712	C₂³	1	1	yes	characteristic
297	#6712	C₂³	1	1	yes	characteristic
298	#6712	C₂³	1	1	yes	characteristic
299	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
300	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
301	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
302	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
303	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
304	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
305	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
306	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
307	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
308	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
309	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
310	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
311	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
312	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
313	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
314	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
315	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
316	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
317	C₃×#685	C₂³	1	1	yes	characteristic
318	C₃×#685	C₂³	1	1	yes	characteristic
319	C₃×#685	C₂³	1	1	yes	characteristic
320	C₃×#685	C₂³	1	1	yes	characteristic
321	C₃×#685	C₂³	1	1	yes	characteristic
322	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
323	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
324	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
325	C₃×#683	C₂³	1	1	yes	characteristic
326	C₃×#683	C₂³	1	1	yes	characteristic
327	C₃×#683	C₂³	1	1	yes	characteristic
328	C₃×#683	C₂³	1	1	yes	characteristic
329	C₃×#683	C₂³	1	1	yes	characteristic
330	C₃×#683	C₂³	1	1	yes	characteristic
331	C₃×#683	C₂³	1	1	yes	characteristic
332	C₃×#683	C₂³	1	1	yes	characteristic
333	C₃×#683	C₂³	1	1	yes	characteristic
334	C₃×#683	C₂³	1	1	yes	characteristic
335	C₃×#683	C₂³	1	1	yes	characteristic
336	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
337	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
338	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
339	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
340	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
341	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
342	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
343	#6669	C₂³	1	1	yes	characteristic
344	#6669	C₂³	1	1	yes	characteristic
345	#6669	C₂³	1	1	yes	characteristic
346	#6669	C₂³	1	1	yes	characteristic
347	#6669	C₂³	1	1	yes	characteristic
348	#6668	C₂³	1	1	yes	characteristic
349	#6668	C₂³	1	1	yes	characteristic
350	#6668	C₂³	1	1	yes	characteristic
351	#6668	C₂³	1	1	yes	characteristic
352	#6668	C₂³	1	1	yes	characteristic
353	#6668	C₂³	1	1	yes	characteristic
354	#6668	C₂³	1	1	yes	characteristic
355	#6667	C₂³	1	1	yes	characteristic
356	#6667	C₂³	1	1	yes	characteristic
357	#6667	C₂³	1	1	yes	characteristic
358	#6667	C₂³	1	1	yes	characteristic
359	#6667	C₂³	1	1	yes	characteristic
360	#6667	C₂³	1	1	yes	characteristic
361	#6667	C₂³	1	1	yes	characteristic
362	#6667	C₂³	1	1	yes	characteristic
363	#6667	C₂³	1	1	yes	characteristic
364	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
365	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
366	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
367	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
368	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
369	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
370	#6665	C₂³	1	1	yes	characteristic
371	#6665	C₂³	1	1	yes	characteristic
372	#6665	C₂³	1	1	yes	characteristic
373	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
374	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
375	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
376	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
377	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
378	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
379	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
380	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
381	C₃×#552	—	5	1	no	—
382	#5706	—	5	1	no	—
383	#5706	—	5	1	no	—
384	#5705	—	5	1	no	—
385	#5705	—	5	1	no	—
386	#5695	—	5	1	no	—
387	#5693	—	5	1	no	—
388	#5693	—	5	1	no	—
389	#5691	—	5	1	no	—
390	#5691	—	5	1	no	—
391	#5688	—	5	1	no	—
392	#5654	—	5	1	no	—
393	#5654	—	5	1	no	—
394	#5649	—	5	1	no	—
395	#5649	—	5	1	no	—
396	#5641	—	5	1	no	—
397	#5635	—	5	1	no	—
398	#5627	—	5	1	no	—
399	#5627	—	5	1	no	—
400	#5581	—	5	1	no	—
401	C₄×#239	—	5	1	no	—
402	#5565	—	5	1	no	—
403	C₄×D₃×D₄	—	5	1	no	—
404	#5532	—	5	1	no	—
405	#5527	—	5	1	no	—
406	#5527	—	5	1	no	—
407	#5522	—	5	1	no	—
408	#5522	D₅	1	1	yes	characteristic, complemented
409	D₃×#117	—	5	1	no	—
410	#5507	—	5	1	no	—
411	C₂×#892	—	5	1	no	—
412	C₂×C₅×#41	—	3	1	no	—
413	C₂×#711	—	3	1	no	—
414	C₂×D₄×D₅	—	3	1	no	—
415	C₂×#709	—	3	1	no	—
416	C₂²×C₄×D₅	—	3	1	no	—
417	C₂²×C₄×D₅	—	3	1	no	—
418	C₄×C₅×Q₈	—	3	1	no	—
419	C₄×C₅×Q₈	—	3	1	no	—
420	C₄×C₅×D₄	—	3	1	no	—
421	C₄×C₅×D₄	—	3	1	no	—
422	C₄×C₅×D₄	—	3	1	no	—
423	C₄×C₅×D₄	—	3	1	no	—
424	C₄×C₅×D₄	—	3	1	no	—
425	C₄×C₅×D₄	—	3	1	no	—
426	C₅×#117	—	3	1	no	—
427	C₅×#117	—	3	1	no	—
428	C₅×#117	C₂×D₃	1	1	yes	characteristic, complemented
429	C₂×C₄²×C₅	—	3	1	no	—
430	C₂×C₄²×C₅	—	3	1	no	—
431	C₂×C₄²×C₅	—	3	1	no	—
432	#4093	—	3	1	no	—
433	#4092	—	3	1	no	—
434	#4092	—	3	1	no	—
435	#4090	—	3	1	no	—
436	#4085	—	3	1	no	—
437	#4085	—	3	1	no	—
438	#4085	—	3	1	no	—
439	#4085	—	3	1	no	—
440	#4083	—	3	1	no	—
441	#4083	—	3	1	no	—
442	#4081	—	3	1	no	—
443	#4081	—	3	1	no	—
444	D₄×Dic₅	—	3	1	no	—
445	D₄×Dic₅	—	3	1	no	—
446	#4076	—	3	1	no	—
447	#4076	—	3	1	no	—
448	#4076	—	3	1	no	—
449	#4075	—	3	1	no	—
450	#4075	—	3	1	no	—
451	#4075	—	3	1	no	—
452	#4075	—	3	1	no	—
453	#4075	—	3	1	no	—
454	#4075	C₂×D₃	1	1	yes	characteristic
455	C₄×C₂²⋊D₅	—	3	1	no	—
456	C₄×C₂²⋊D₅	—	3	1	no	—
457	C₄×C₂²⋊D₅	—	3	1	no	—
458	C₄×C₂²⋊D₅	—	3	1	no	—
459	C₄×C₂²⋊D₅	—	3	1	no	—
460	C₄×C₂²⋊D₅	—	3	1	no	—
461	C₄×C₂²⋊D₅	—	3	1	no	—
462	C₄×C₂²⋊D₅	—	3	1	no	—
463	C₄×C₂²⋊D₅	—	3	1	no	—
464	C₄×C₂²⋊D₅	—	3	1	no	—
465	C₂×#685	—	3	1	no	—
466	C₂×#685	—	3	1	no	—
467	C₂×#685	—	3	1	no	—
468	C₂×#685	—	3	1	no	—
469	#4072	—	3	1	no	—
470	#4070	—	3	1	no	—
471	#4070	—	3	1	no	—
472	#4070	—	3	1	no	—
473	C₂×#683	—	3	1	no	—
474	C₂×#683	—	3	1	no	—
475	C₂×#683	—	3	1	no	—
476	C₂×#683	C₂×D₃	1	1	yes	characteristic, complemented
477	C₂×C₄×Dic₅	—	3	1	no	—
478	C₂×C₄×Dic₅	—	3	1	no	—
479	#4044	—	3	1	no	—
480	#4044	—	3	1	no	—
481	#4044	—	3	1	no	—
482	#4044	C₂×D₃	1	1	yes	characteristic, complemented
483	#4043	—	3	1	no	—
484	#4042	—	3	1	no	—
485	#4042	—	3	1	no	—
486	#4042	—	3	1	no	—
487	#4042	C₂×D₃	1	1	yes	characteristic, complemented
488	#4041	—	3	1	no	—
489	#4040	—	3	1	no	—
490	#4040	—	3	1	no	—
491	#4040	—	3	1	no	—
492	#4040	—	3	1	no	—
493	#4039	—	3	1	no	—
494	#4038	—	3	1	no	—
495	D₅×C₄⋊C₄	—	3	1	no	—
496	#4036	—	3	1	no	—
497	#4035	—	3	1	no	—
498	#4035	—	3	1	no	—
499	#4035	C₂×D₃	1	1	yes	characteristic, complemented
500	#4035	C₂×D₃	1	1	yes	characteristic, complemented
501	#4034	—	3	1	no	—
502	#4033	—	3	1	no	—
503	#4032	—	3	1	no	—
504	#4032	C₂×D₃	1	1	yes	characteristic
505	#4031	—	3	1	no	—
506	#4031	—	3	1	no	—
507	#4030	—	3	1	no	—
508	#4030	—	3	1	no	—
509	#4029	—	3	1	no	—
510	#4029	—	3	1	no	—
511	#4028	—	3	1	no	—
512	#4028	—	3	1	no	—
513	#4027	—	3	1	no	—
514	#4027	—	3	1	no	—
515	#4027	—	3	1	no	—
516	#4027	C₂×D₃	1	1	yes	characteristic
517	D₅×C₂²⋊C₄	—	3	1	no	—
518	D₅×C₂²⋊C₄	—	3	1	no	—
519	#4025	—	3	1	no	—
520	#4025	—	3	1	no	—
521	#4024	—	3	1	no	—
522	#4024	—	3	1	no	—
523	#4024	—	3	1	no	—
524	#4024	C₂×D₃	1	1	yes	characteristic, complemented
525	#4023	—	3	1	no	—
526	#4023	C₂×D₃	1	1	yes	characteristic, complemented
527	#4022	—	3	1	no	—
528	#4022	—	3	1	no	—
529	#4022	—	3	1	no	—
530	#4022	—	3	1	no	—
531	#4022	—	3	1	no	—
532	#4022	C₂×D₃	1	1	yes	characteristic, complemented
533	#4021	—	3	1	no	—
534	#4021	—	3	1	no	—
535	#4021	—	3	1	no	—
536	C₄×D₂₀	—	3	1	no	—
537	C₄×D₂₀	—	3	1	no	—
538	C₄×D₂₀	—	3	1	no	—
539	C₄×D₂₀	—	3	1	no	—
540	C₄×D₂₀	—	3	1	no	—
541	#4018	—	3	1	no	—
542	#4018	—	3	1	no	—
543	#4018	—	3	1	no	—
544	#4018	—	3	1	no	—
545	#4018	—	3	1	no	—
546	#4018	—	3	1	no	—
547	#4018	—	3	1	no	—
548	#4018	—	3	1	no	—
549	#4018	—	3	1	no	—
550	#4018	—	3	1	no	—
551	#4018	—	3	1	no	—
552	#4018	—	3	1	no	—
553	#4018	—	3	1	no	—
554	#4018	—	3	1	no	—
555	#4018	—	3	1	no	—
556	#4018	C₂×D₃	1	1	yes	characteristic, complemented
557	C₄²×D₅	—	3	1	no	—
558	C₄²×D₅	—	3	1	no	—
559	#4016	—	3	1	no	—
560	#4016	—	3	1	no	—
561	#4016	C₂×D₃	1	1	yes	characteristic, complemented
562	C₄×Dic₁₀	—	3	1	no	—
563	C₄×Dic₁₀	—	3	1	no	—
564	C₄×Dic₁₀	—	3	1	no	—
565	C₄×Dic₁₀	—	3	1	no	—
566	C₄×Dic₁₀	C₂×D₃	1	1	yes	characteristic, complemented
567	#3475	—	15	1	no	Sylow
568	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
569	C₂²×D₁₅	—	2	2	no	—
570	C₂²×D₁₅	—	2	2	no	—
571	C₂²×D₁₅	—	4	1	no	—
572	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
573	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
574	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
575	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
577	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
578	C₂×D₃×D₅	—	2	2	no	—
579	C₂×D₃×D₅	—	2	2	no	—
580	C₂×D₃×D₅	—	4	1	no	—
581	C₂×C₃×C₄×C₅	—	2	2	no	—
582	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
583	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
584	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
585	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
586	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
588	#1220	—	2	2	no	—
589	C₂×Dic₁₅	—	4	1	no	—
590	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
595	D₆₀	—	2	2	no	—
596	D₆₀	—	4	1	no	—
597	C₄×D₁₅	—	2	2	no	—
598	C₄×D₁₅	—	4	1	no	—
599	C₄×D₁₅	—	4	1	no	—
600	Dic₃₀	—	4	1	no	—
601	C₅×#67	—	2	2	no	—
602	C₅×#67	#41	1	4	yes	complemented
603	C₂×C₅×Dic₃	—	2	2	no	—
604	C₂×C₅×Dic₃	—	4	1	no	—
605	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
611	C₅×D₁₂	—	2	2	no	—
612	C₄×C₅×D₃	—	2	2	no	—
613	C₄×C₅×D₃	—	2	2	no	—
614	C₄×C₅×D₃	—	2	2	no	—
615	C₄×C₅×D₃	—	2	2	no	—
616	C₄×C₅×D₃	—	4	1	no	—
617	C₄×C₅×D₃	—	4	1	no	—
618	C₅×Dic₆	—	2	2	no	—
619	C₃×C₂²⋊D₅	—	2	2	no	—
620	C₂×C₃×Dic₅	—	2	2	no	—
621	C₂×C₃×Dic₅	—	2	2	no	—
622	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
623	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
624	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
627	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
628	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
629	C₃×C₄×D₅	—	2	2	no	—
630	C₃×Dic₁₀	—	2	2	no	—
631	#1204	—	2	2	no	—
632	#1204	—	4	1	no	—
633	#1203	—	2	2	no	—
634	#1203	—	2	2	no	—
635	#1203	—	2	2	no	—
636	#1203	—	2	2	no	—
637	#1203	—	4	1	no	—
638	#1202	—	2	2	no	—
639	#1202	—	4	1	no	—
640	#1201	—	4	1	no	—
641	#1200	—	2	2	no	—
642	#1200	—	2	2	no	—
643	#1200	—	2	2	no	—
644	#1200	—	2	2	no	—
645	#1200	—	2	2	no	—
646	#1200	—	2	2	no	—
647	#1200	#41	1	4	yes	complemented
648	D₃×Dic₅	—	2	2	no	—
649	D₃×Dic₅	—	2	2	no	—
650	D₃×Dic₅	—	4	1	no	—
651	D₅×Dic₃	—	2	2	no	—
652	C₂×#239	—	5	1	no	—
653	C₂×D₃×D₄	—	5	1	no	—
654	C₂×#235	—	5	1	no	—
655	C₂×#235	C₂×D₅	1	1	yes	characteristic
656	C₂²×C₄×D₃	—	5	1	no	—
657	C₂²×C₄×D₃	—	5	1	no	—
658	C₃×#126	—	5	1	no	—
659	C₃×#126	—	5	1	no	—
660	C₃×#125	—	5	1	no	—
661	C₃×#125	—	5	1	no	—
662	C₃×#125	—	5	1	no	—
663	C₃×#123	—	5	1	no	—
664	C₃×#123	—	5	1	no	—
665	C₃×C₂²⋊Q₈	—	5	1	no	—
666	C₃×C₂²⋊Q₈	—	5	1	no	—
667	C₃×C₄×Q₈	—	5	1	no	—
668	C₃×C₄×D₄	—	5	1	no	—
669	C₃×#117	—	5	1	no	—
670	C₃×#117	—	5	1	no	—
671	C₃×#117	C₂×D₅	1	1	yes	characteristic, complemented
672	C₂×C₃×C₄⋊C₄	—	5	1	no	—
673	#946	—	5	1	no	—
674	#946	—	5	1	no	—
675	Q₈×Dic₃	—	5	1	no	—
676	#939	—	5	1	no	—
677	#939	—	5	1	no	—
678	D₄×Dic₃	—	5	1	no	—
679	#930	—	5	1	no	—
680	#930	—	5	1	no	—
681	#929	—	5	1	no	—
682	#929	—	5	1	no	—
683	C₄×#67	—	5	1	no	—
684	C₄×#67	—	5	1	no	—
685	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
686	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
687	#926	—	5	1	no	—
688	C₂×C₄⋊Dic₃	—	5	1	no	—
689	C₂×C₄×Dic₃	—	5	1	no	—
690	C₂×C₄×Dic₃	C₂×D₅	1	1	yes	characteristic, complemented
691	#898	—	5	1	no	—
692	#898	—	5	1	no	—
693	#898	—	5	1	no	—
694	#898	—	5	1	no	—
695	#898	—	5	1	no	—
696	#898	—	5	1	no	—
697	#897	—	5	1	no	—
698	#897	—	5	1	no	—
699	#896	—	5	1	no	—
700	#896	—	5	1	no	—
701	#896	—	5	1	no	—
702	#896	—	5	1	no	—
703	#896	—	5	1	no	—
704	#896	—	5	1	no	—
705	#895	—	5	1	no	—
706	#895	—	5	1	no	—
707	#895	—	5	1	no	—
708	#895	—	5	1	no	—
709	#894	—	5	1	no	—
710	#894	—	5	1	no	—
711	#894	—	5	1	no	—
712	#894	—	5	1	no	—
713	#894	—	5	1	no	—
714	#894	—	5	1	no	—
715	#894	—	5	1	no	—
716	#894	—	5	1	no	—
717	#894	—	5	1	no	—
718	#894	—	5	1	no	—
719	#893	—	5	1	no	—
720	#893	—	5	1	no	—
721	#893	—	5	1	no	—
722	#893	—	5	1	no	—
723	#893	—	5	1	no	—
724	#893	—	5	1	no	—
725	#893	—	5	1	no	—
726	#893	—	5	1	no	—
727	#893	C₂×D₅	1	1	yes	characteristic, complemented
728	#893	C₂×D₅	1	1	yes	characteristic, complemented
729	#892	—	5	1	no	—
730	#892	—	5	1	no	—
731	#892	—	5	1	no	—
732	#892	—	5	1	no	—
733	#892	—	5	1	no	—
734	#892	—	5	1	no	—
735	#892	—	5	1	no	—
736	#892	—	5	1	no	—
737	#892	—	5	1	no	—
738	#892	—	5	1	no	—
739	#892	—	5	1	no	—
740	D₃×C₄⋊C₄	—	5	1	no	—
741	D₃×C₄⋊C₄	—	5	1	no	—
742	D₃×C₄⋊C₄	—	5	1	no	—
743	#889	—	5	1	no	—
744	#889	—	5	1	no	—
745	#889	—	5	1	no	—
746	#889	—	5	1	no	—
747	#888	—	5	1	no	—
748	#888	—	5	1	no	—
749	#887	—	5	1	no	—
750	#887	—	5	1	no	—
751	#887	—	5	1	no	—
752	#887	—	5	1	no	—
753	#887	C₂×D₅	1	1	yes	characteristic, complemented
754	#887	C₂×D₅	1	1	yes	characteristic, complemented
755	#885	—	5	1	no	—
756	#885	—	5	1	no	—
757	#885	—	5	1	no	—
758	#885	—	5	1	no	—
759	#884	—	5	1	no	—
760	#884	—	5	1	no	—
761	#883	—	5	1	no	—
762	#883	—	5	1	no	—
763	#882	—	5	1	no	—
764	#882	—	5	1	no	—
765	#882	—	5	1	no	—
766	#882	—	5	1	no	—
767	#67⋊C₄	—	5	1	no	—
768	#67⋊C₄	—	5	1	no	—
769	#67⋊C₄	—	5	1	no	—
770	#67⋊C₄	—	5	1	no	—
771	#67⋊C₄	—	5	1	no	—
772	#67⋊C₄	—	5	1	no	—
773	#67⋊C₄	C₂×D₅	1	1	yes	characteristic
774	#67⋊C₄	C₂×D₅	1	1	yes	characteristic
775	#67⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
776	#67⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
777	D₃×C₂²⋊C₄	—	5	1	no	—
778	D₃×C₂²⋊C₄	—	5	1	no	—
779	D₃×C₂²⋊C₄	—	5	1	no	—
780	D₃×C₂²⋊C₄	—	5	1	no	—
781	#879	—	5	1	no	—
782	#879	—	5	1	no	—
783	#878	—	5	1	no	—
784	#878	—	5	1	no	—
785	#877	—	5	1	no	—
786	#877	—	5	1	no	—
787	#876	—	5	1	no	—
788	#876	—	5	1	no	—
789	#875	—	5	1	no	—
790	#875	—	5	1	no	—
791	C₄×D₁₂	—	5	1	no	—
792	C₄×D₁₂	—	5	1	no	—
793	C₄×D₁₂	—	5	1	no	—
794	C₄×D₁₂	—	5	1	no	—
795	#872	—	5	1	no	—
796	#872	—	5	1	no	—
797	#872	—	5	1	no	—
798	#872	—	5	1	no	—
799	#872	C₂×D₅	1	1	yes	characteristic, complemented
800	#872	C₂×D₅	1	1	yes	characteristic, complemented
801	C₄²×D₃	—	5	1	no	—
802	C₄²×D₃	—	5	1	no	—
803	C₄²×D₃	—	5	1	no	—
804	C₄²×D₃	C₂×D₅	1	1	yes	characteristic, complemented
805	C₄²×D₃	C₂×D₅	1	1	yes	characteristic, complemented
806	#870	—	5	1	no	—
807	C₂³×D₅	—	3	1	no	—
808	C₂³×D₅	—	3	1	no	—
809	C₅×#41	—	6	4	no	—
810	C₂×C₅×Q₈	—	3	1	no	—
811	C₂×C₅×D₄	—	3	1	no	—
812	C₂×C₅×D₄	—	3	1	no	—
813	C₂×C₅×D₄	—	3	1	no	—
814	C₂²×C₄×C₅	—	3	1	no	—
815	C₂²×C₄×C₅	—	3	1	no	—
816	C₂²×C₄×C₅	—	3	1	no	—
817	C₂²×C₄×C₅	—	3	1	no	—
818	C₂²×C₄×C₅	—	3	1	no	—
819	C₂²×C₄×C₅	—	3	1	no	—
820	C₂²×C₄×C₅	—	3	1	no	—
821	C₂²×C₄×C₅	—	3	1	no	—
822	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
823	C₂×C₂²⋊D₅	—	3	1	no	—
824	C₂×C₂²⋊D₅	—	3	1	no	—
825	C₂×C₂²⋊D₅	—	3	1	no	—
826	C₂×C₂²⋊D₅	—	3	1	no	—
827	C₂×C₂²⋊D₅	—	3	1	no	—
828	C₂×C₂²⋊D₅	—	3	1	no	—
829	C₂×C₂²⋊D₅	—	3	1	no	—
830	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
831	C₂²×Dic₅	—	3	1	no	—
832	C₂²×Dic₅	—	3	1	no	—
833	C₂²×Dic₅	—	3	1	no	—
834	C₂²×Dic₅	—	3	1	no	—
835	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
836	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
837	#711	—	6	4	no	—
838	D₄×D₅	—	6	4	no	—
839	#709	—	6	4	no	—
840	C₂×D₂₀	—	3	1	no	—
841	C₂×D₂₀	—	3	1	no	—
842	C₂×D₂₀	—	3	1	no	—
843	C₂×D₂₀	—	3	1	no	—
844	C₂×C₄×D₅	—	3	1	no	—
845	C₂×C₄×D₅	—	3	1	no	—
846	C₂×C₄×D₅	—	3	1	no	—
847	C₂×C₄×D₅	—	3	1	no	—
848	C₂×C₄×D₅	—	3	1	no	—
849	C₂×C₄×D₅	—	3	1	no	—
850	C₂×C₄×D₅	—	3	1	no	—
851	C₂×C₄×D₅	—	3	1	no	—
852	C₂×C₄×D₅	—	3	1	no	—
853	C₂×C₄×D₅	—	3	1	no	—
854	C₂×C₄×D₅	—	3	1	no	—
855	C₂×C₄×D₅	—	6	4	no	—
856	C₂×C₄×D₅	—	6	4	no	—
857	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
858	C₂×Dic₁₀	—	3	1	no	—
859	C₂×Dic₁₀	—	3	1	no	—
860	C₂×Dic₁₀	—	3	1	no	—
861	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
862	C₅×C₄⋊C₄	—	3	1	no	—
863	C₅×C₄⋊C₄	—	3	1	no	—
864	C₅×C₄⋊C₄	—	3	1	no	—
865	C₅×C₄⋊C₄	—	3	1	no	—
866	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
867	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
868	C₅×C₂²⋊C₄	—	3	1	no	—
869	C₅×C₂²⋊C₄	—	3	1	no	—
870	C₅×C₂²⋊C₄	—	3	1	no	—
871	C₅×C₂²⋊C₄	—	3	1	no	—
872	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
873	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
874	C₄²×C₅	—	3	1	no	—
875	C₄²×C₅	—	3	1	no	—
876	C₄²×C₅	—	3	1	no	—
877	C₄²×C₅	—	3	1	no	—
878	C₄²×C₅	—	3	1	no	—
879	C₄²×C₅	—	3	1	no	—
880	C₄²×C₅	—	3	1	no	—
881	C₄²×C₅	—	3	1	no	—
882	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
883	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
884	C₂²⋊Dic₅	—	3	1	no	—
885	C₂²⋊Dic₅	—	3	1	no	—
886	C₂²⋊Dic₅	—	3	1	no	—
887	C₂²⋊Dic₅	—	3	1	no	—
888	C₂²⋊Dic₅	—	3	1	no	—
889	C₂²⋊Dic₅	—	3	1	no	—
890	C₂²⋊Dic₅	—	3	1	no	—
891	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
892	#685	—	3	1	no	—
893	#685	—	3	1	no	—
894	#685	—	3	1	no	—
895	#685	—	3	1	no	—
896	#685	—	3	1	no	—
897	#685	—	3	1	no	—
898	#685	—	3	1	no	—
899	#685	—	3	1	no	—
900	#685	—	3	1	no	—
901	#685	—	3	1	no	—
902	#685	—	3	1	no	—
903	#685	—	3	1	no	—
904	#685	—	3	1	no	—
905	#685	—	3	1	no	—
906	#685	—	3	1	no	—
907	#685	—	3	1	no	—
908	#685	—	3	1	no	—
909	#685	—	3	1	no	—
910	#685	—	3	1	no	—
911	#685	—	3	1	no	—
912	#685	—	3	1	no	—
913	#685	—	3	1	no	—
914	#685	—	3	1	no	—
915	#685	C₂²×D₃	1	1	yes	characteristic
916	#685	C₂²×D₃	1	1	yes	characteristic
917	#685	C₂²×D₃	1	1	yes	characteristic
918	#685	C₂²×D₃	1	1	yes	characteristic
919	#685	C₂²×D₃	1	1	yes	characteristic
920	C₄⋊Dic₅	—	3	1	no	—
921	C₄⋊Dic₅	—	3	1	no	—
922	C₄⋊Dic₅	—	3	1	no	—
923	C₄⋊Dic₅	—	3	1	no	—
924	C₄⋊Dic₅	—	3	1	no	—
925	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
926	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
927	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
928	#683	—	3	1	no	—
929	#683	—	3	1	no	—
930	#683	—	3	1	no	—
931	#683	—	3	1	no	—
932	#683	—	3	1	no	—
933	#683	—	3	1	no	—
934	#683	—	3	1	no	—
935	#683	—	3	1	no	—
936	#683	—	3	1	no	—
937	#683	—	3	1	no	—
938	#683	—	3	1	no	—
939	#683	—	3	1	no	—
940	#683	—	3	1	no	—
941	#683	—	3	1	no	—
942	#683	—	3	1	no	—
943	#683	—	3	1	no	—
944	#683	—	3	1	no	—
945	#683	C₂²×D₃	1	1	yes	characteristic
946	#683	C₂²×D₃	1	1	yes	characteristic
947	#683	C₂²×D₃	1	1	yes	characteristic
948	#683	C₂²×D₃	1	1	yes	characteristic
949	#683	C₂²×D₃	1	1	yes	characteristic
950	#683	C₂²×D₃	1	1	yes	characteristic
951	#683	C₂²×D₃	1	1	yes	characteristic
952	#683	C₂²×D₃	1	1	yes	characteristic
953	#683	C₂²×D₃	1	1	yes	characteristic
954	#683	C₂²×D₃	1	1	yes	characteristic
955	#683	C₂²×D₃	1	1	yes	characteristic
956	C₄×Dic₅	—	3	1	no	—
957	C₄×Dic₅	—	3	1	no	—
958	C₄×Dic₅	—	3	1	no	—
959	C₄×Dic₅	—	3	1	no	—
960	C₄×Dic₅	—	3	1	no	—
961	C₄×Dic₅	—	3	1	no	—
962	C₄×Dic₅	—	3	1	no	—
963	C₄×Dic₅	—	3	1	no	—
964	C₄×Dic₅	—	3	1	no	—
965	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
966	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
967	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
968	#556	—	15	1	no	—
969	#555	—	15	1	no	—
970	#554	—	15	1	no	—
971	#553	—	15	1	no	—
972	#553	—	15	1	no	—
973	#552	—	5	1	no	—
974	#552	—	15	1	no	—
975	#552	—	15	1	no	—
976	#552	—	15	1	no	—
977	#551	—	15	1	no	—
978	#551	—	15	1	no	—
979	#551	—	15	1	no	—
980	#551	—	15	1	no	—
981	#547	—	15	1	no	—
982	#546	—	15	1	no	—
983	#546	—	15	1	no	—
984	#533	—	15	1	no	—
985	#529	—	15	1	no	—
986	#529	—	15	1	no	—
987	#529	—	15	1	no	—
988	#529	—	15	1	no	—
989	#529	—	15	1	no	—
990	#529	—	15	1	no	—
991	#525	—	15	1	no	—
992	#525	—	15	1	no	—
993	C₄×#41	—	3	1	no	—
994	C₄×#41	—	15	1	no	—
995	C₄×#41	—	15	1	no	—
996	C₂×C₄×D₄	—	15	1	no	—
997	C₂×#117	—	15	1	no	—
998	C₂×#117	—	15	1	no	—
999	C₂²×C₃×C₅	—	2	1	no	—
1000	C₂²×C₃×C₅	—	2	1	no	—
1001	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
1002	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1003	C₂×D₁₅	—	2	1	no	—
1004	C₂×D₁₅	—	2	1	no	—
1005	C₂×D₁₅	—	2	1	no	—
1006	C₂×D₁₅	—	2	1	no	—
1007	C₂×D₁₅	—	2	1	no	—
1008	C₂×D₁₅	—	2	1	no	—
1009	C₂×D₁₅	—	2	1	no	—
1010	C₂×D₁₅	—	2	1	no	—
1011	C₂×D₁₅	—	4	4	no	—
1012	C₂×D₁₅	C₂×#41	1	2	yes	—
1013	C₂×C₅×D₃	—	2	1	no	—
1014	C₂×C₅×D₃	—	2	1	no	—
1015	C₂×C₅×D₃	—	2	1	no	—
1016	C₂×C₅×D₃	—	2	1	no	—
1017	C₂×C₅×D₃	—	2	1	no	—
1018	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1019	C₂×C₃×D₅	—	2	1	no	—
1020	C₂×C₃×D₅	—	2	1	no	—
1021	C₂×C₃×D₅	—	2	1	no	—
1022	D₃×D₅	—	4	4	no	—
1023	C₃×C₄×C₅	—	2	1	no	—
1024	C₃×C₄×C₅	—	2	1	no	—
1025	C₃×C₄×C₅	—	2	1	no	—
1026	C₃×C₄×C₅	—	2	1	no	—
1027	C₃×C₄×C₅	—	2	1	no	—
1028	C₃×C₄×C₅	—	2	1	no	—
1029	Dic₁₅	—	2	1	no	—
1030	Dic₁₅	—	2	1	no	—
1031	Dic₁₅	—	2	1	no	—
1032	Dic₁₅	—	2	1	no	—
1033	Dic₁₅	—	2	1	no	—
1034	C₃×Dic₅	—	2	1	no	—
1035	C₃×Dic₅	—	2	1	no	—
1036	C₃×Dic₅	—	2	1	no	—
1037	C₃×Dic₅	—	2	1	no	—
1038	C₃×Dic₅	—	2	1	no	—
1039	C₃×Dic₅	—	2	1	no	—
1040	C₃×Dic₅	C₂×#41	1	2	yes	—
1041	C₅×Dic₃	—	2	1	no	—
1042	C₅×Dic₃	—	2	1	no	—
1043	C₅×Dic₃	—	2	1	no	—
1044	C₅×Dic₃	—	2	1	no	—
1045	C₅×Dic₃	C₂×#41	1	2	yes	—
1046	C₅×Dic₃	C₂×#41	1	2	yes	—
1047	C₂³×D₃	—	5	1	no	—
1048	C₂³×D₃	—	5	1	no	—
1049	C₂×C₃×Q₈	—	5	1	no	—
1050	C₂×C₃×D₄	—	5	1	no	—
1051	C₂²×C₃×C₄	—	5	1	no	—
1052	C₂²×C₃×C₄	—	5	1	no	—
1053	C₂²×C₃×C₄	—	5	1	no	—
1054	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1055	C₂×#67	—	5	1	no	—
1056	C₂×#67	—	5	1	no	—
1057	C₂×#67	—	5	1	no	—
1058	C₂×#67	—	5	1	no	—
1059	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1060	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1061	C₂²×Dic₃	—	5	1	no	—
1062	C₂²×Dic₃	—	5	1	no	—
1063	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1064	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1065	#239	—	10	4	no	—
1066	D₃×D₄	—	10	4	no	—
1067	#235	—	2	4	no	—
1068	#235	—	10	4	no	—
1069	C₂×D₁₂	—	5	1	no	—
1070	C₂×D₁₂	—	5	1	no	—
1071	C₂×D₁₂	—	5	1	no	—
1072	C₂×D₁₂	—	5	1	no	—
1073	C₂×D₁₂	—	5	1	no	—
1074	C₂×D₁₂	—	5	1	no	—
1075	C₂×D₁₂	—	5	1	no	—
1076	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1077	C₂×C₄×D₃	—	5	1	no	—
1078	C₂×C₄×D₃	—	5	1	no	—
1079	C₂×C₄×D₃	—	5	1	no	—
1080	C₂×C₄×D₃	—	5	1	no	—
1081	C₂×C₄×D₃	—	5	1	no	—
1082	C₂×C₄×D₃	—	5	1	no	—
1083	C₂×C₄×D₃	—	5	1	no	—
1084	C₂×C₄×D₃	—	5	1	no	—
1085	C₂×C₄×D₃	—	5	1	no	—
1086	C₂×C₄×D₃	—	5	1	no	—
1087	C₂×C₄×D₃	—	5	1	no	—
1088	C₂×C₄×D₃	—	5	1	no	—
1089	C₂×C₄×D₃	—	5	1	no	—
1090	C₂×C₄×D₃	—	10	4	no	—
1091	C₂×C₄×D₃	—	10	4	no	—
1092	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1093	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1094	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1095	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1096	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1097	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1098	C₂×Dic₆	—	5	1	no	—
1099	C₂×Dic₆	—	5	1	no	—
1100	C₂×Dic₆	—	5	1	no	—
1101	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1102	C₃×C₄⋊C₄	—	5	1	no	—
1103	C₃×C₄⋊C₄	—	5	1	no	—
1104	C₃×C₄⋊C₄	—	5	1	no	—
1105	C₃×C₄⋊C₄	—	5	1	no	—
1106	C₃×C₄⋊C₄	—	5	1	no	—
1107	C₃×C₄⋊C₄	—	5	1	no	—
1108	C₃×C₄⋊C₄	—	5	1	no	—
1109	C₃×C₄⋊C₄	—	5	1	no	—
1110	C₃×C₄⋊C₄	—	5	1	no	—
1111	C₃×C₄⋊C₄	—	5	1	no	—
1112	C₃×C₄⋊C₄	—	5	1	no	—
1113	C₃×C₄⋊C₄	—	5	1	no	—
1114	C₃×C₄⋊C₄	—	5	1	no	—
1115	C₃×C₄⋊C₄	—	5	1	no	—
1116	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1117	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1118	C₃×C₂²⋊C₄	—	5	1	no	—
1119	C₃×C₂²⋊C₄	—	5	1	no	—
1120	C₃×C₂²⋊C₄	—	5	1	no	—
1121	C₃×C₂²⋊C₄	—	5	1	no	—
1122	C₃×C₂²⋊C₄	—	5	1	no	—
1123	C₃×C₂²⋊C₄	—	5	1	no	—
1124	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1125	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1126	C₃×C₄²	—	5	1	no	—
1127	C₃×C₄²	—	5	1	no	—
1128	C₃×C₄²	—	5	1	no	—
1129	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1130	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1131	#217	—	5	1	no	—
1132	#217	—	5	1	no	—
1133	#217	—	5	1	no	—
1134	#217	—	5	1	no	—
1135	(C₂×D₃)⋊C₄	—	5	1	no	—
1136	(C₂×D₃)⋊C₄	—	5	1	no	—
1137	(C₂×D₃)⋊C₄	—	5	1	no	—
1138	(C₂×D₃)⋊C₄	—	5	1	no	—
1139	(C₂×D₃)⋊C₄	—	5	1	no	—
1140	(C₂×D₃)⋊C₄	—	5	1	no	—
1141	(C₂×D₃)⋊C₄	—	5	1	no	—
1142	(C₂×D₃)⋊C₄	—	5	1	no	—
1143	(C₂×D₃)⋊C₄	—	5	1	no	—
1144	(C₂×D₃)⋊C₄	—	5	1	no	—
1145	(C₂×D₃)⋊C₄	—	5	1	no	—
1146	(C₂×D₃)⋊C₄	—	5	1	no	—
1147	(C₂×D₃)⋊C₄	—	5	1	no	—
1148	(C₂×D₃)⋊C₄	—	5	1	no	—
1149	(C₂×D₃)⋊C₄	—	5	1	no	—
1150	(C₂×D₃)⋊C₄	—	5	1	no	—
1151	(C₂×D₃)⋊C₄	—	5	1	no	—
1152	(C₂×D₃)⋊C₄	—	5	1	no	—
1153	(C₂×D₃)⋊C₄	—	5	1	no	—
1154	(C₂×D₃)⋊C₄	—	5	1	no	—
1155	(C₂×D₃)⋊C₄	—	5	1	no	—
1156	(C₂×D₃)⋊C₄	—	5	1	no	—
1157	(C₂×D₃)⋊C₄	—	5	1	no	—
1158	(C₂×D₃)⋊C₄	—	5	1	no	—
1159	(C₂×D₃)⋊C₄	—	5	1	no	—
1160	(C₂×D₃)⋊C₄	—	5	1	no	—
1161	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1162	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1163	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1164	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1165	C₄⋊Dic₃	—	5	1	no	—
1166	C₄⋊Dic₃	—	5	1	no	—
1167	C₄⋊Dic₃	—	5	1	no	—
1168	C₄⋊Dic₃	—	5	1	no	—
1169	C₄⋊Dic₃	—	5	1	no	—
1170	C₄⋊Dic₃	—	5	1	no	—
1171	C₄⋊Dic₃	—	5	1	no	—
1172	C₄⋊Dic₃	—	5	1	no	—
1173	Dic₃⋊C₄	—	5	1	no	—
1174	Dic₃⋊C₄	—	5	1	no	—
1175	Dic₃⋊C₄	—	5	1	no	—
1176	Dic₃⋊C₄	—	5	1	no	—
1177	Dic₃⋊C₄	—	5	1	no	—
1178	Dic₃⋊C₄	—	5	1	no	—
1179	Dic₃⋊C₄	—	5	1	no	—
1180	Dic₃⋊C₄	—	5	1	no	—
1181	Dic₃⋊C₄	—	5	1	no	—
1182	Dic₃⋊C₄	—	5	1	no	—
1183	Dic₃⋊C₄	—	5	1	no	—
1184	Dic₃⋊C₄	—	5	1	no	—
1185	Dic₃⋊C₄	—	5	1	no	—
1186	Dic₃⋊C₄	—	5	1	no	—
1187	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1188	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1189	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1190	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1191	C₄×Dic₃	—	5	1	no	—
1192	C₄×Dic₃	—	5	1	no	—
1193	C₄×Dic₃	—	5	1	no	—
1194	C₄×Dic₃	—	5	1	no	—
1195	C₄×Dic₃	—	5	1	no	—
1196	C₄×Dic₃	—	5	1	no	—
1197	C₄×Dic₃	—	5	1	no	—
1198	C₄×Dic₃	—	5	1	no	—
1199	C₄×Dic₃	—	5	1	no	—
1200	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1201	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1202	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1203	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1204	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1205	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1206	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1207	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1208	C₂³×C₅	—	3	1	no	—
1209	C₂³×C₅	—	3	1	no	—
1210	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1211	C₂²×D₅	—	3	1	no	—
1212	C₂²×D₅	—	3	1	no	—
1213	C₂²×D₅	—	3	1	no	—
1214	C₂²×D₅	—	6	2	no	—
1215	C₂²×D₅	—	6	2	no	—
1216	C₂²×D₅	—	6	2	no	—
1217	C₂²×D₅	—	6	2	no	—
1218	C₂²×D₅	—	12	1	no	—
1219	C₂²×D₅	—	12	1	no	—
1220	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1221	C₅×Q₈	—	6	2	no	—
1222	C₅×D₄	—	3	4	no	—
1223	C₅×D₄	—	6	2	no	—
1224	C₅×D₄	—	6	2	no	—
1225	C₂×C₄×C₅	—	2	2	no	—
1226	C₂×C₄×C₅	—	3	1	no	—
1227	C₂×C₄×C₅	—	3	1	no	—
1228	C₂×C₄×C₅	—	3	1	no	—
1229	C₂×C₄×C₅	—	3	1	no	—
1230	C₂×C₄×C₅	—	3	1	no	—
1231	C₂×C₄×C₅	—	3	1	no	—
1232	C₂×C₄×C₅	—	6	2	no	—
1233	C₂×C₄×C₅	—	6	2	no	—
1234	C₂×C₄×C₅	—	6	2	no	—
1235	C₂×C₄×C₅	—	6	2	no	—
1236	C₂×C₄×C₅	—	6	2	no	—
1237	C₂×C₄×C₅	—	12	1	no	—
1238	C₂×C₄×C₅	—	12	1	no	—
1239	C₂×C₄×C₅	—	12	1	no	—
1240	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1241	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1242	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1243	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1244	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1245	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1246	C₂²⋊D₅	—	2	2	no	—
1247	C₂²⋊D₅	—	6	2	no	—
1248	C₂²⋊D₅	—	6	2	no	—
1249	C₂²⋊D₅	—	6	2	no	—
1250	C₂²⋊D₅	—	6	2	no	—
1251	C₂²⋊D₅	—	6	2	no	—
1252	C₂²⋊D₅	—	12	1	no	—
1253	C₂²⋊D₅	—	12	1	no	—
1254	C₂×Dic₅	—	2	2	no	—
1255	C₂×Dic₅	—	2	2	no	—
1256	C₂×Dic₅	—	3	1	no	—
1257	C₂×Dic₅	—	3	1	no	—
1258	C₂×Dic₅	—	3	1	no	—
1259	C₂×Dic₅	—	3	1	no	—
1260	C₂×Dic₅	—	3	1	no	—
1261	C₂×Dic₅	—	6	2	no	—
1262	C₂×Dic₅	—	6	2	no	—
1263	C₂×Dic₅	—	12	1	no	—
1264	C₂×Dic₅	—	12	1	no	—
1265	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1266	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1267	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1268	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1269	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1270	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1271	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1272	D₂₀	—	6	2	no	—
1273	D₂₀	—	6	2	no	—
1274	D₂₀	—	12	1	no	—
1275	D₂₀	—	12	1	no	—
1276	C₄×D₅	—	2	2	no	—
1277	C₄×D₅	—	3	4	no	—
1278	C₄×D₅	—	6	2	no	—
1279	C₄×D₅	—	6	2	no	—
1280	C₄×D₅	—	6	2	no	—
1281	C₄×D₅	—	6	2	no	—
1282	C₄×D₅	—	6	2	no	—
1283	C₄×D₅	—	6	2	no	—
1284	C₄×D₅	—	6	2	no	—
1285	C₄×D₅	—	6	2	no	—
1286	C₄×D₅	—	12	1	no	—
1287	C₄×D₅	—	12	1	no	—
1288	Dic₁₀	—	2	2	no	—
1289	Dic₁₀	—	6	2	no	—
1290	Dic₁₀	—	12	1	no	—
1291	Dic₁₀	—	12	1	no	—
1292	C₂×#41	—	3	1	no	—
1293	C₂×#41	—	15	1	no	—
1294	C₂×#41	—	15	1	no	—
1295	C₂²×D₄	—	15	1	no	—
1296	C₂³×C₄	—	15	1	no	—
1297	C₂³×C₄	—	15	1	no	—
1298	C₄⋊Q₈	—	15	1	no	—
1299	C₄⋊Q₈	—	15	1	no	—
1300	#126	—	5	1	no	—
1301	#126	—	5	1	no	—
1302	#126	—	15	1	no	—
1303	#126	—	15	1	no	—
1304	#126	—	15	1	no	—
1305	#126	—	15	1	no	—
1306	#126	—	15	1	no	—
1307	#126	—	15	1	no	—
1308	#126	—	15	1	no	—
1309	#126	—	15	1	no	—
1310	#126	—	15	1	no	—
1311	#126	—	15	1	no	—
1312	#125	—	5	1	no	—
1313	#125	—	5	1	no	—
1314	#125	—	5	1	no	—
1315	#125	—	15	1	no	—
1316	#125	—	15	1	no	—
1317	#125	—	15	1	no	—
1318	#125	—	15	1	no	—
1319	#125	—	15	1	no	—
1320	#124	—	15	1	no	—
1321	#124	—	15	1	no	—
1322	#124	—	15	1	no	—
1323	#124	—	15	1	no	—
1324	#124	—	15	1	no	—
1325	#124	—	15	1	no	—
1326	#123	—	5	1	no	—
1327	#123	—	5	1	no	—
1328	#123	—	15	1	no	—
1329	#123	—	15	1	no	—
1330	#123	—	15	1	no	—
1331	#123	—	15	1	no	—
1332	#123	—	15	1	no	—
1333	#123	—	15	1	no	—
1334	#123	—	15	1	no	—
1335	#123	—	15	1	no	—
1336	#123	—	15	1	no	—
1337	#123	—	15	1	no	—
1338	#123	—	15	1	no	—
1339	#123	—	15	1	no	—
1340	#123	—	15	1	no	—
1341	#123	—	15	1	no	—
1342	C₂²⋊Q₈	—	5	1	no	—
1343	C₂²⋊Q₈	—	5	1	no	—
1344	C₂²⋊Q₈	—	15	1	no	—
1345	C₂²⋊Q₈	—	15	1	no	—
1346	C₂²⋊Q₈	—	15	1	no	—
1347	C₂²⋊Q₈	—	15	1	no	—
1348	C₂²⋊Q₈	—	15	1	no	—
1349	C₂²⋊Q₈	—	15	1	no	—
1350	C₂²⋊Q₈	—	15	1	no	—
1351	C₂²⋊Q₈	—	15	1	no	—
1352	C₂²⋊Q₈	—	15	1	no	—
1353	C₂²⋊Q₈	—	15	1	no	—
1354	C₂²⋊Q₈	—	15	1	no	—
1355	C₂²⋊Q₈	—	15	1	no	—
1356	#121	—	15	1	no	—
1357	#121	—	15	1	no	—
1358	#121	—	15	1	no	—
1359	#121	—	15	1	no	—
1360	#121	—	15	1	no	—
1361	#121	—	15	1	no	—
1362	#121	—	15	1	no	—
1363	#121	—	15	1	no	—
1364	#121	—	15	1	no	—
1365	#121	—	15	1	no	—
1366	#120	—	15	1	no	—
1367	#120	—	15	1	no	—
1368	#120	—	15	1	no	—
1369	#120	—	15	1	no	—
1370	C₄×Q₈	—	3	1	no	—
1371	C₄×Q₈	—	3	1	no	—
1372	C₄×Q₈	—	5	1	no	—
1373	C₄×Q₈	—	15	1	no	—
1374	C₄×Q₈	—	15	1	no	—
1375	C₄×Q₈	—	15	1	no	—
1376	C₄×Q₈	—	15	1	no	—
1377	C₄×Q₈	—	15	1	no	—
1378	C₄×D₄	—	3	1	no	—
1379	C₄×D₄	—	3	1	no	—
1380	C₄×D₄	—	3	1	no	—
1381	C₄×D₄	—	3	1	no	—
1382	C₄×D₄	—	3	1	no	—
1383	C₄×D₄	—	3	1	no	—
1384	C₄×D₄	—	5	1	no	—
1385	C₄×D₄	—	15	1	no	—
1386	C₄×D₄	—	15	1	no	—
1387	C₄×D₄	—	15	1	no	—
1388	C₄×D₄	—	15	1	no	—
1389	C₄×D₄	—	15	1	no	—
1390	C₄×D₄	—	15	1	no	—
1391	C₄×D₄	—	15	1	no	—
1392	C₄×D₄	—	15	1	no	—
1393	C₄×D₄	—	15	1	no	—
1394	C₄×D₄	—	15	1	no	—
1395	C₄×D₄	—	15	1	no	—
1396	C₄×D₄	—	15	1	no	—
1397	C₄×D₄	—	15	1	no	—
1398	C₄×D₄	—	15	1	no	—
1399	C₄×D₄	—	15	1	no	—
1400	C₄×D₄	—	15	1	no	—
1401	C₄×D₄	—	15	1	no	—
1402	C₄×D₄	—	15	1	no	—
1403	C₄×D₄	—	15	1	no	—
1404	C₄×D₄	—	15	1	no	—
1405	C₄×D₄	—	15	1	no	—
1406	#117	—	3	1	no	—
1407	#117	—	3	1	no	—
1408	#117	—	5	1	no	—
1409	#117	—	5	1	no	—
1410	#117	—	15	1	no	—
1411	#117	—	15	1	no	—
1412	#117	—	15	1	no	—
1413	#117	—	15	1	no	—
1414	#117	—	15	1	no	—
1415	#117	—	15	1	no	—
1416	#117	—	15	1	no	—
1417	#117	—	15	1	no	—
1418	#117	—	15	1	no	—
1419	#117	—	15	1	no	—
1420	#117	—	15	1	no	—
1421	#117	—	15	1	no	—
1422	#117	—	15	1	no	—
1423	#117	—	15	1	no	—
1424	#117	—	15	1	no	—
1425	#117	—	15	1	no	—
1426	#117	—	15	1	no	—
1427	#117	—	15	1	no	—
1428	#117	D₃×D₅	1	1	yes	characteristic, complemented
1429	C₂×C₄⋊C₄	—	5	1	no	—
1430	C₂×C₄⋊C₄	—	15	1	no	—
1431	C₂×C₄⋊C₄	—	15	1	no	—
1432	C₂×C₄⋊C₄	—	15	1	no	—
1433	C₂×C₄⋊C₄	—	15	1	no	—
1434	C₂×C₂²⋊C₄	—	15	1	no	—
1435	C₂×C₂²⋊C₄	—	15	1	no	—
1436	C₂×C₂²⋊C₄	—	15	1	no	—
1437	C₂×C₂²⋊C₄	—	15	1	no	—
1438	C₂×C₂²⋊C₄	—	15	1	no	—
1439	C₂×C₂²⋊C₄	—	15	1	no	—
1440	C₂×C₄²	—	3	1	no	—
1441	C₂×C₄²	—	3	1	no	—
1442	C₂×C₄²	—	3	1	no	—
1443	C₂×C₄²	—	15	1	no	—
1444	C₂×C₄²	—	15	1	no	—
1445	C₂×C₄²	—	15	1	no	—
1446	C₂×C₄²	—	15	1	no	—
1447	C₂×C₃×C₅	—	2	2	no	—
1448	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1449	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1450	C₂×C₃×C₅	#585	1	1	yes	characteristic
1451	D₁₅	—	2	2	no	—
1452	D₁₅	—	4	1	no	—
1453	D₁₅	—	4	1	no	—
1454	C₃×D₅	—	4	1	no	—
1455	C₅×D₃	—	2	2	no	—
1456	C₅×D₃	—	4	1	no	—
1457	C₂³×C₃	—	5	1	no	—
1458	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1459	C₂²×D₃	—	5	1	no	—
1460	C₂²×D₃	—	5	1	no	—
1461	C₂²×D₃	—	5	1	no	—
1462	C₂²×D₃	—	10	2	no	—
1463	C₂²×D₃	—	10	2	no	—
1464	C₂²×D₃	—	10	2	no	—
1465	C₂²×D₃	—	10	2	no	—
1466	C₂²×D₃	—	20	1	no	—
1467	C₂²×D₃	—	20	1	no	—
1468	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1469	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1470	C₃×Q₈	—	10	2	no	—
1471	C₃×D₄	—	10	2	no	—
1472	C₂×C₃×C₄	—	2	2	no	—
1473	C₂×C₃×C₄	—	5	1	no	—
1474	C₂×C₃×C₄	—	5	1	no	—
1475	C₂×C₃×C₄	—	5	1	no	—
1476	C₂×C₃×C₄	—	5	1	no	—
1477	C₂×C₃×C₄	—	5	1	no	—
1478	C₂×C₃×C₄	—	5	1	no	—
1479	C₂×C₃×C₄	—	5	1	no	—
1480	C₂×C₃×C₄	—	10	2	no	—
1481	C₂×C₃×C₄	—	10	2	no	—
1482	C₂×C₃×C₄	—	10	2	no	—
1483	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1484	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1485	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1486	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1488	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1489	#67	—	2	2	no	—
1490	#67	—	10	2	no	—
1491	#67	—	10	2	no	—
1492	#67	—	20	1	no	—
1493	#67	—	20	1	no	—
1494	#67	#709	1	4	yes	complemented
1495	C₂×Dic₃	—	2	2	no	—
1496	C₂×Dic₃	—	4	1	no	—
1497	C₂×Dic₃	—	5	1	no	—
1498	C₂×Dic₃	—	5	1	no	—
1499	C₂×Dic₃	—	5	1	no	—
1500	C₂×Dic₃	—	5	1	no	—
1501	C₂×Dic₃	—	5	1	no	—
1502	C₂×Dic₃	—	10	2	no	—
1503	C₂×Dic₃	—	20	1	no	—
1504	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1505	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1506	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1507	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1508	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1509	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1510	D₁₂	—	2	2	no	—
1511	D₁₂	—	10	2	no	—
1512	D₁₂	—	10	2	no	—
1513	D₁₂	—	10	2	no	—
1514	D₁₂	—	10	2	no	—
1515	D₁₂	—	10	2	no	—
1516	D₁₂	—	20	1	no	—
1517	D₁₂	—	20	1	no	—
1518	C₄×D₃	—	2	2	no	—
1519	C₄×D₃	—	2	2	no	—
1520	C₄×D₃	—	2	2	no	—
1521	C₄×D₃	—	2	2	no	—
1522	C₄×D₃	—	4	1	no	—
1523	C₄×D₃	—	4	1	no	—
1524	C₄×D₃	—	5	4	no	—
1525	C₄×D₃	—	10	2	no	—
1526	C₄×D₃	—	10	2	no	—
1527	C₄×D₃	—	10	2	no	—
1528	C₄×D₃	—	10	2	no	—
1529	C₄×D₃	—	10	2	no	—
1530	C₄×D₃	—	10	2	no	—
1531	C₄×D₃	—	10	2	no	—
1532	C₄×D₃	—	10	2	no	—
1533	C₄×D₃	—	10	2	no	—
1534	C₄×D₃	—	20	1	no	—
1535	C₄×D₃	—	20	1	no	—
1536	C₄×D₃	—	20	1	no	—
1537	Dic₆	—	2	2	no	—
1538	Dic₆	—	10	2	no	—
1539	Dic₆	—	20	1	no	—
1540	Dic₆	—	20	1	no	—
1541	C₂²×C₅	—	2	1	no	—
1542	C₂²×C₅	—	2	1	no	—
1543	C₂²×C₅	—	3	2	no	—
1544	C₂²×C₅	—	6	1	no	—
1545	C₂²×C₅	—	6	1	no	—
1546	C₂²×C₅	—	6	1	no	—
1547	C₂²×C₅	—	6	1	no	—
1548	C₂²×C₅	—	6	1	no	—
1549	C₂²×C₅	D₃×#41	1	2	yes	—
1550	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1551	C₂×D₅	—	2	1	no	—
1552	C₂×D₅	—	2	1	no	—
1553	C₂×D₅	—	2	1	no	—
1554	C₂×D₅	—	3	2	no	—
1555	C₂×D₅	—	6	1	no	—
1556	C₂×D₅	—	6	1	no	—
1557	C₂×D₅	—	6	1	no	—
1558	C₂×D₅	—	6	1	no	—
1559	C₂×D₅	—	6	1	no	—
1560	C₂×D₅	—	6	1	no	—
1561	C₂×D₅	—	6	1	no	—
1562	C₂×D₅	—	6	1	no	—
1563	C₂×D₅	—	12	4	no	—
1564	C₂×D₅	—	12	4	no	—
1565	C₄×C₅	—	2	1	no	—
1566	C₄×C₅	—	2	1	no	—
1567	C₄×C₅	—	2	1	no	—
1568	C₄×C₅	—	2	1	no	—
1569	C₄×C₅	—	2	1	no	—
1570	C₄×C₅	—	2	1	no	—
1571	C₄×C₅	—	3	2	no	—
1572	C₄×C₅	—	3	2	no	—
1573	C₄×C₅	—	6	1	no	—
1574	C₄×C₅	—	6	1	no	—
1575	C₄×C₅	—	6	1	no	—
1576	C₄×C₅	—	6	1	no	—
1577	Dic₅	—	2	1	no	—
1578	Dic₅	—	2	1	no	—
1579	Dic₅	—	2	1	no	—
1580	Dic₅	—	2	1	no	—
1581	Dic₅	—	2	1	no	—
1582	Dic₅	—	2	1	no	—
1583	Dic₅	—	6	1	no	—
1584	Dic₅	—	6	1	no	—
1585	Dic₅	—	6	1	no	—
1586	Dic₅	—	6	1	no	—
1587	Dic₅	—	6	1	no	—
1588	Dic₅	D₃×#41	1	2	yes	—
1589	C₂⁴	—	15	1	no	—
1590	C₂⁴	—	15	1	no	—
1591	#41	—	6	4	no	—
1592	#41	—	30	4	no	—
1593	#41	—	30	4	no	—
1594	C₂×Q₈	—	3	1	no	—
1595	C₂×Q₈	—	5	1	no	—
1596	C₂×Q₈	—	15	1	no	—
1597	C₂×Q₈	—	15	1	no	—
1598	C₂×Q₈	—	15	1	no	—
1599	C₂×D₄	—	3	1	no	—
1600	C₂×D₄	—	3	1	no	—
1601	C₂×D₄	—	3	1	no	—
1602	C₂×D₄	—	5	1	no	—
1603	C₂×D₄	—	15	1	no	—
1604	C₂×D₄	—	15	1	no	—
1605	C₂×D₄	—	15	1	no	—
1606	C₂×D₄	—	15	1	no	—
1607	C₂×D₄	—	15	1	no	—
1608	C₂×D₄	—	15	1	no	—
1609	C₂×D₄	—	15	1	no	—
1610	C₂×D₄	—	15	1	no	—
1611	C₂×D₄	—	15	1	no	—
1612	C₂×D₄	—	15	1	no	—
1613	C₂×D₄	—	15	1	no	—
1614	C₂×D₄	—	30	4	no	—
1615	C₂²×C₄	—	3	1	no	—
1616	C₂²×C₄	—	3	1	no	—
1617	C₂²×C₄	—	3	1	no	—
1618	C₂²×C₄	—	3	1	no	—
1619	C₂²×C₄	—	3	1	no	—
1620	C₂²×C₄	—	3	1	no	—
1621	C₂²×C₄	—	3	1	no	—
1622	C₂²×C₄	—	3	1	no	—
1623	C₂²×C₄	—	5	1	no	—
1624	C₂²×C₄	—	5	1	no	—
1625	C₂²×C₄	—	5	1	no	—
1626	C₂²×C₄	—	15	1	no	—
1627	C₂²×C₄	—	15	1	no	—
1628	C₂²×C₄	—	15	1	no	—
1629	C₂²×C₄	—	15	1	no	—
1630	C₂²×C₄	—	15	1	no	—
1631	C₂²×C₄	—	15	1	no	—
1632	C₂²×C₄	—	15	1	no	—
1633	C₂²×C₄	—	15	1	no	—
1634	C₂²×C₄	—	15	1	no	—
1635	C₂²×C₄	—	15	1	no	—
1636	C₂²×C₄	—	15	1	no	—
1637	C₂²×C₄	—	15	1	no	—
1638	C₂²×C₄	—	15	1	no	—
1639	C₂²×C₄	—	15	1	no	—
1640	C₂²×C₄	—	15	1	no	—
1641	C₂²×C₄	—	30	4	no	—
1642	C₂²×C₄	—	30	4	no	—
1643	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
1644	C₄⋊C₄	—	3	1	no	—
1645	C₄⋊C₄	—	3	1	no	—
1646	C₄⋊C₄	—	3	1	no	—
1647	C₄⋊C₄	—	3	1	no	—
1648	C₄⋊C₄	—	5	1	no	—
1649	C₄⋊C₄	—	5	1	no	—
1650	C₄⋊C₄	—	5	1	no	—
1651	C₄⋊C₄	—	5	1	no	—
1652	C₄⋊C₄	—	5	1	no	—
1653	C₄⋊C₄	—	5	1	no	—
1654	C₄⋊C₄	—	5	1	no	—
1655	C₄⋊C₄	—	5	1	no	—
1656	C₄⋊C₄	—	5	1	no	—
1657	C₄⋊C₄	—	5	1	no	—
1658	C₄⋊C₄	—	5	1	no	—
1659	C₄⋊C₄	—	5	1	no	—
1660	C₄⋊C₄	—	5	1	no	—
1661	C₄⋊C₄	—	5	1	no	—
1662	C₄⋊C₄	—	15	1	no	—
1663	C₄⋊C₄	—	15	1	no	—
1664	C₄⋊C₄	—	15	1	no	—
1665	C₄⋊C₄	—	15	1	no	—
1666	C₄⋊C₄	—	15	1	no	—
1667	C₄⋊C₄	—	15	1	no	—
1668	C₄⋊C₄	—	15	1	no	—
1669	C₄⋊C₄	—	15	1	no	—
1670	C₄⋊C₄	—	15	1	no	—
1671	C₄⋊C₄	—	15	1	no	—
1672	C₄⋊C₄	—	15	1	no	—
1673	C₄⋊C₄	—	15	1	no	—
1674	C₄⋊C₄	—	15	1	no	—
1675	C₄⋊C₄	—	15	1	no	—
1676	C₄⋊C₄	—	15	1	no	—
1677	C₄⋊C₄	—	15	1	no	—
1678	C₄⋊C₄	—	15	1	no	—
1679	C₄⋊C₄	—	15	1	no	—
1680	C₄⋊C₄	—	15	1	no	—
1681	C₄⋊C₄	—	15	1	no	—
1682	C₄⋊C₄	—	15	1	no	—
1683	C₄⋊C₄	—	15	1	no	—
1684	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1685	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1686	C₂²⋊C₄	—	3	1	no	—
1687	C₂²⋊C₄	—	3	1	no	—
1688	C₂²⋊C₄	—	3	1	no	—
1689	C₂²⋊C₄	—	3	1	no	—
1690	C₂²⋊C₄	—	5	1	no	—
1691	C₂²⋊C₄	—	5	1	no	—
1692	C₂²⋊C₄	—	5	1	no	—
1693	C₂²⋊C₄	—	5	1	no	—
1694	C₂²⋊C₄	—	5	1	no	—
1695	C₂²⋊C₄	—	5	1	no	—
1696	C₂²⋊C₄	—	15	1	no	—
1697	C₂²⋊C₄	—	15	1	no	—
1698	C₂²⋊C₄	—	15	1	no	—
1699	C₂²⋊C₄	—	15	1	no	—
1700	C₂²⋊C₄	—	15	1	no	—
1701	C₂²⋊C₄	—	15	1	no	—
1702	C₂²⋊C₄	—	15	1	no	—
1703	C₂²⋊C₄	—	15	1	no	—
1704	C₂²⋊C₄	—	15	1	no	—
1705	C₂²⋊C₄	—	15	1	no	—
1706	C₂²⋊C₄	—	15	1	no	—
1707	C₂²⋊C₄	—	15	1	no	—
1708	C₂²⋊C₄	—	15	1	no	—
1709	C₂²⋊C₄	—	15	1	no	—
1710	C₂²⋊C₄	—	15	1	no	—
1711	C₂²⋊C₄	—	15	1	no	—
1712	C₂²⋊C₄	—	15	1	no	—
1713	C₂²⋊C₄	—	15	1	no	—
1714	C₂²⋊C₄	—	15	1	no	—
1715	C₂²⋊C₄	—	15	1	no	—
1716	C₂²⋊C₄	—	15	1	no	—
1717	C₂²⋊C₄	—	15	1	no	—
1718	C₂²⋊C₄	—	15	1	no	—
1719	C₂²⋊C₄	—	15	1	no	—
1720	C₂²⋊C₄	—	15	1	no	—
1721	C₂²⋊C₄	—	15	1	no	—
1722	C₂²⋊C₄	—	15	1	no	—
1723	C₂²⋊C₄	—	15	1	no	—
1724	C₂²⋊C₄	—	15	1	no	—
1725	C₂²⋊C₄	—	15	1	no	—
1726	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1727	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1728	C₄²	—	3	1	no	—
1729	C₄²	—	3	1	no	—
1730	C₄²	—	3	1	no	—
1731	C₄²	—	3	1	no	—
1732	C₄²	—	3	1	no	—
1733	C₄²	—	3	1	no	—
1734	C₄²	—	3	1	no	—
1735	C₄²	—	3	1	no	—
1736	C₄²	—	5	1	no	—
1737	C₄²	—	5	1	no	—
1738	C₄²	—	5	1	no	—
1739	C₄²	—	15	1	no	—
1740	C₄²	—	15	1	no	—
1741	C₄²	—	15	1	no	—
1742	C₄²	—	15	1	no	—
1743	C₄²	—	15	1	no	—
1744	C₄²	—	15	1	no	—
1745	C₄²	—	15	1	no	—
1746	C₄²	—	15	1	no	—
1747	C₄²	—	15	1	no	—
1748	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1749	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1750	C₃×C₅	#3475	1	1	yes	characteristic, complemented, Hall
1751	C₂²×C₃	—	2	1	no	—
1752	C₂²×C₃	—	2	1	no	—
1753	C₂²×C₃	—	10	1	no	—
1754	C₂²×C₃	—	10	1	no	—
1755	C₂²×C₃	—	10	1	no	—
1756	C₂²×C₃	C₂×#709	1	2	yes	—
1757	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1758	C₂×D₃	—	2	1	no	—
1759	C₂×D₃	—	2	1	no	—
1760	C₂×D₃	—	2	1	no	—
1761	C₂×D₃	—	2	1	no	—
1762	C₂×D₃	—	2	1	no	—
1763	C₂×D₃	—	5	2	no	—
1764	C₂×D₃	—	10	1	no	—
1765	C₂×D₃	—	10	1	no	—
1766	C₂×D₃	—	10	1	no	—
1767	C₂×D₃	—	10	1	no	—
1768	C₂×D₃	—	10	1	no	—
1769	C₂×D₃	—	10	1	no	—
1770	C₂×D₃	—	10	1	no	—
1771	C₂×D₃	—	10	1	no	—
1772	C₂×D₃	—	20	4	no	—
1773	C₂×D₃	—	20	4	no	—
1774	C₂×D₃	C₂×#709	1	2	yes	—
1775	C₃×C₄	—	2	1	no	—
1776	C₃×C₄	—	2	1	no	—
1777	C₃×C₄	—	2	1	no	—
1778	C₃×C₄	—	2	1	no	—
1779	C₃×C₄	—	2	1	no	—
1780	C₃×C₄	—	2	1	no	—
1781	C₃×C₄	—	5	2	no	—
1782	C₃×C₄	—	10	1	no	—
1783	C₃×C₄	—	10	1	no	—
1784	C₃×C₄	—	10	1	no	—
1785	C₃×C₄	—	10	1	no	—
1786	C₃×C₄	—	10	1	no	—
1787	C₃×C₄	—	10	1	no	—
1788	Dic₃	—	2	1	no	—
1789	Dic₃	—	2	1	no	—
1790	Dic₃	—	2	1	no	—
1791	Dic₃	—	2	1	no	—
1792	Dic₃	—	10	1	no	—
1793	Dic₃	—	10	1	no	—
1794	Dic₃	—	10	1	no	—
1795	Dic₃	—	10	1	no	—
1796	Dic₃	—	10	1	no	—
1797	Dic₃	C₂×#709	1	2	yes	—
1798	Dic₃	D₅×#41	1	2	yes	—
1799	C₂×C₅	—	2	2	no	—
1800	C₂×C₅	—	6	2	no	—
1801	C₂×C₅	—	12	1	no	—
1802	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1803	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1804	C₂×C₅	#5968	1	1	yes	characteristic
1805	D₅	—	4	1	no	—
1806	D₅	—	6	2	no	—
1807	D₅	—	12	1	no	—
1808	D₅	—	12	1	no	—
1809	C₂³	—	3	1	no	—
1810	C₂³	—	3	1	no	—
1811	C₂³	—	5	1	no	—
1812	C₂³	—	15	1	no	—
1813	C₂³	—	15	1	no	—
1814	C₂³	—	15	1	no	—
1815	C₂³	—	30	2	no	—
1816	C₂³	—	30	2	no	—
1817	C₂³	—	30	2	no	—
1818	C₂³	—	30	2	no	—
1819	C₂³	—	60	1	no	—
1820	C₂³	—	60	1	no	—
1821	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1822	Q₈	—	6	2	no	—
1823	Q₈	—	10	2	no	—
1824	Q₈	—	30	2	no	—
1825	Q₈	—	60	1	no	—
1826	Q₈	—	60	1	no	—
1827	D₄	—	3	4	no	—
1828	D₄	—	6	2	no	—
1829	D₄	—	6	2	no	—
1830	D₄	—	10	2	no	—
1831	D₄	—	30	2	no	—
1832	D₄	—	30	2	no	—
1833	D₄	—	30	2	no	—
1834	D₄	—	30	2	no	—
1835	D₄	—	30	2	no	—
1836	D₄	—	30	2	no	—
1837	D₄	—	30	2	no	—
1838	D₄	—	60	1	no	—
1839	D₄	—	60	1	no	—
1840	D₄	—	60	1	no	—
1841	D₄	—	60	1	no	—
1842	C₂×C₄	—	2	2	no	—
1843	C₂×C₄	—	3	1	no	—
1844	C₂×C₄	—	3	1	no	—
1845	C₂×C₄	—	3	1	no	—
1846	C₂×C₄	—	3	1	no	—
1847	C₂×C₄	—	3	1	no	—
1848	C₂×C₄	—	3	1	no	—
1849	C₂×C₄	—	5	1	no	—
1850	C₂×C₄	—	5	1	no	—
1851	C₂×C₄	—	5	1	no	—
1852	C₂×C₄	—	5	1	no	—
1853	C₂×C₄	—	5	1	no	—
1854	C₂×C₄	—	5	1	no	—
1855	C₂×C₄	—	5	1	no	—
1856	C₂×C₄	—	6	2	no	—
1857	C₂×C₄	—	6	2	no	—
1858	C₂×C₄	—	6	2	no	—
1859	C₂×C₄	—	6	2	no	—
1860	C₂×C₄	—	6	2	no	—
1861	C₂×C₄	—	10	2	no	—
1862	C₂×C₄	—	10	2	no	—
1863	C₂×C₄	—	10	2	no	—
1864	C₂×C₄	—	12	1	no	—
1865	C₂×C₄	—	12	1	no	—
1866	C₂×C₄	—	12	1	no	—
1867	C₂×C₄	—	15	4	no	—
1868	C₂×C₄	—	15	1	no	—
1869	C₂×C₄	—	15	1	no	—
1870	C₂×C₄	—	15	1	no	—
1871	C₂×C₄	—	15	1	no	—
1872	C₂×C₄	—	15	1	no	—
1873	C₂×C₄	—	30	2	no	—
1874	C₂×C₄	—	30	2	no	—
1875	C₂×C₄	—	30	2	no	—
1876	C₂×C₄	—	30	2	no	—
1877	C₂×C₄	—	30	2	no	—
1878	C₂×C₄	—	30	2	no	—
1879	C₂×C₄	—	30	2	no	—
1880	C₂×C₄	—	30	2	no	—
1881	C₂×C₄	—	30	2	no	—
1882	C₂×C₄	—	30	2	no	—
1883	C₂×C₄	—	60	1	no	—
1884	C₂×C₄	—	60	1	no	—
1885	C₂×C₄	—	60	1	no	—
1886	C₂×C₄	—	60	1	no	—
1887	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1888	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1889	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1890	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1891	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1892	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1893	C₂×C₃	—	2	2	no	—
1894	C₂×C₃	—	20	1	no	—
1895	C₂×C₃	C₂²×#709	1	1	yes	characteristic
1896	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1897	C₂×C₃	#66283	1	1	yes	characteristic
1898	D₃	—	2	2	no	—
1899	D₃	—	4	1	no	—
1900	D₃	—	10	2	no	—
1901	D₃	—	20	1	no	—
1902	D₃	—	20	1	no	—
1903	C₅	#86827	1	1	yes	characteristic, complemented, Sylow
1904	C₂²	—	2	1	no	—
1905	C₂²	—	2	1	no	—
1906	C₂²	—	3	2	no	—
1907	C₂²	—	6	1	no	—
1908	C₂²	—	6	1	no	—
1909	C₂²	—	6	1	no	—
1910	C₂²	—	6	1	no	—
1911	C₂²	—	6	1	no	—
1912	C₂²	—	10	1	no	—
1913	C₂²	—	10	1	no	—
1914	C₂²	—	10	1	no	—
1915	C₂²	—	15	2	no	—
1916	C₂²	—	30	1	no	—
1917	C₂²	—	30	1	no	—
1918	C₂²	—	30	1	no	—
1919	C₂²	—	30	1	no	—
1920	C₂²	—	30	1	no	—
1921	C₂²	—	30	1	no	—
1922	C₂²	—	30	1	no	—
1923	C₂²	—	30	1	no	—
1924	C₂²	—	60	4	no	—
1925	C₂²	—	60	4	no	—
1926	C₂²	D₃×#709	1	2	yes	—
1927	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1928	C₄	—	2	1	no	—
1929	C₄	—	2	1	no	—
1930	C₄	—	2	1	no	—
1931	C₄	—	2	1	no	—
1932	C₄	—	2	1	no	—
1933	C₄	—	2	1	no	—
1934	C₄	—	3	2	no	—
1935	C₄	—	3	2	no	—
1936	C₄	—	5	2	no	—
1937	C₄	—	6	1	no	—
1938	C₄	—	6	1	no	—
1939	C₄	—	6	1	no	—
1940	C₄	—	6	1	no	—
1941	C₄	—	10	1	no	—
1942	C₄	—	10	1	no	—
1943	C₄	—	10	1	no	—
1944	C₄	—	10	1	no	—
1945	C₄	—	10	1	no	—
1946	C₄	—	10	1	no	—
1947	C₄	—	30	1	no	—
1948	C₄	—	30	1	no	—
1949	C₄	—	30	1	no	—
1950	C₄	—	30	1	no	—
1951	C₄	—	30	1	no	—
1952	C₃	#10617742	1	1	yes	characteristic, complemented, Sylow
1953	C₂	—	2	2	no	—
1954	C₂	—	6	2	no	—
1955	C₂	—	12	1	no	—
1956	C₂	—	20	1	no	—
1957	C₂	—	30	2	no	—
1958	C₂	—	60	1	no	—
1959	C₂	—	60	1	no	—
1960	C₂	C₂×D₃×#709	1	1	yes	characteristic
1961	C₂	D₃×D₅×#41	1	1	yes	characteristic
1962	C₂	#11757063	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×D₃×D₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁵
Fitting	C₃×C₅×#117	C₂²
hypercenter	#117	D₃×D₅
hypocenter	C₃×C₅	#3475
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #117

Complements

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

N	H ≅ G/N	type
1. #11756286	C₂	semidirect
2. C₅×#5522	C₂	semidirect
3. C₃×#65865	C₂	semidirect
4. #11754656	C₂	semidirect
5. #11754420	C₂	semidirect
6. #11754346	C₂	semidirect
7. C₂×#91403	C₂	semidirect
8. #11753920	C₂	semidirect
9. #11753866	C₂	semidirect
10. #11753563	C₂	semidirect
11. #11753544	C₂	semidirect
12. #11753537	C₂	semidirect
13. #11753467	C₂	semidirect
14. #11753384	C₂	semidirect
15. #11753348	C₂	semidirect
16. #11753271	C₂	semidirect
17. #11753203	C₂	semidirect
18. #11753110	C₂	semidirect
19. #11752982	C₂	semidirect
20. #11752942	C₂	semidirect
21. #11752849	C₂	semidirect
22. #11752823	C₂	semidirect
23. #11752809	C₂	semidirect
24. #11752767	C₂	semidirect
25. D₃×#4018	C₂	semidirect
26. #11752701	C₂	semidirect
27. #11752692	C₂	semidirect
28. #11752689	C₂	semidirect
29. #11752615	C₂	semidirect
30. #11752582	C₂	semidirect
31. C₄×#6769	C₂	semidirect
39. C₃×C₅×#117	C₂²	semidirect
40. #91818	C₂²	semidirect
42. #91787	C₂²	semidirect
45. #91783	C₂²	semidirect
47. #91770	C₂²	semidirect
49. #91767	C₂²	semidirect
50. #91765	C₂²	semidirect
51. #91764	C₂²	semidirect
54. C₂×C₄×C₅×Dic₃	C₂²	semidirect
55. C₅×#893	C₂²	semidirect
56. C₅×#893	C₂²	semidirect
57. C₅×#887	C₂²	semidirect
58. C₅×#887	C₂²	semidirect
61. C₅×#67⋊C₄	C₂²	semidirect
62. C₅×#67⋊C₄	C₂²	semidirect
63. C₅×#872	C₂²	semidirect
64. C₅×#872	C₂²	semidirect
65. C₄²×C₅×D₃	C₂²	semidirect
66. C₄²×C₅×D₃	C₂²	semidirect
68. C₂×C₃×#683	C₂²	semidirect
69. C₃×#4044	C₂²	semidirect
70. C₃×#4042	C₂²	semidirect
71. C₃×#4035	C₂²	semidirect
72. C₃×#4035	C₂²	semidirect
75. C₃×#4024	C₂²	semidirect
76. C₃×#4023	C₂²	semidirect
77. C₃×#4022	C₂²	semidirect
78. C₃×#4018	C₂²	semidirect
79. C₃×#4016	C₂²	semidirect
80. C₃×C₄×Dic₁₀	C₂²	semidirect
81. #91575	C₂²	semidirect
85. #91566	C₂²	semidirect
87. #91556	C₂²	semidirect
90. C₂×#6668	C₂²	semidirect
92. #91539	C₂²	semidirect
93. C₂×Dic₃×Dic₅	C₂²	semidirect
99. #91462	C₂²	semidirect
104. #91452	C₂²	semidirect
105. #91448	C₂²	semidirect
108. #91446	C₂²	semidirect
109. #91446	C₂²	semidirect
110. #91446	C₂²	semidirect
112. C₄×#1203	C₂²	semidirect
114. #91441	C₂²	semidirect
119. #91428	C₂²	semidirect
122. #91424	C₂²	semidirect
123. #91423	C₂²	semidirect
124. #91420	C₂²	semidirect
125. #91417	C₂²	semidirect
127. #91416	C₂²	semidirect
128. #91411	C₂²	semidirect
129. #91410	C₂²	semidirect
130. #91406	C₂²	semidirect
138. #91403	C₂²	semidirect
139. #91403	C₂²	semidirect
140. #91403	C₂²	semidirect
141. #91403	C₂²	semidirect
142. #91403	C₂²	semidirect
143. #91402	C₂²	semidirect
145. C₄×#1200	C₂²	semidirect
146. D₃×#683	C₂²	semidirect
147. D₃×#683	C₂²	semidirect
148. #91398	C₂²	semidirect
149. C₄×D₃×Dic₅	C₂²	semidirect
151. #91395	C₂²	semidirect
152. #91393	C₂²	semidirect
153. #91393	C₂²	semidirect
154. #91387	C₂²	semidirect
156. #91380	C₂²	semidirect
157. #91380	C₂²	semidirect
158. #91380	C₂²	semidirect
159. #91379	C₂²	semidirect
160. #91379	C₂²	semidirect
161. #91378	C₂²	semidirect
163. #91367	C₂²	semidirect
164. #91365	C₂²	semidirect
165. #91363	C₂²	semidirect
166. #91362	C₂²	semidirect
167. #91357	C₂²	semidirect
169. #91354	C₂²	semidirect
171. #91353	C₂²	semidirect
172. #91352	C₂²	semidirect
174. #91351	C₂²	semidirect
175. #91351	C₂²	semidirect
176. #91350	C₂²	semidirect
177. #91346	C₂²	semidirect
178. #91341	C₂²	semidirect
179. #91340	C₂²	semidirect
180. #91339	C₂²	semidirect
181. #91338	C₂²	semidirect
182. Dic₃×Dic₁₀	C₂²	semidirect
183. #91329	C₂²	semidirect
184. #91328	C₂²	semidirect
185. #91325	C₂²	semidirect
186. #91324	C₂²	semidirect
187. #91324	C₂²	semidirect
210. #65865	D₃	semidirect
408. #5522	D₅	semidirect
428. C₅×#117	C₂×D₃	semidirect
476. C₂×#683	C₂×D₃	semidirect
482. #4044	C₂×D₃	semidirect
487. #4042	C₂×D₃	semidirect
499. #4035	C₂×D₃	semidirect
500. #4035	C₂×D₃	semidirect
524. #4024	C₂×D₃	semidirect
526. #4023	C₂×D₃	semidirect
532. #4022	C₂×D₃	semidirect
556. #4018	C₂×D₃	semidirect
561. #4016	C₂×D₃	semidirect
566. C₄×Dic₁₀	C₂×D₃	semidirect
602. C₅×#67	#41	semidirect
647. #1200	#41	semidirect
671. C₃×#117	C₂×D₅	semidirect
690. C₂×C₄×Dic₃	C₂×D₅	semidirect
727. #893	C₂×D₅	semidirect
728. #893	C₂×D₅	semidirect
753. #887	C₂×D₅	semidirect
754. #887	C₂×D₅	semidirect
775. #67⋊C₄	C₂×D₅	semidirect
776. #67⋊C₄	C₂×D₅	semidirect
799. #872	C₂×D₅	semidirect
800. #872	C₂×D₅	semidirect
804. C₄²×D₃	C₂×D₅	semidirect
805. C₄²×D₃	C₂×D₅	semidirect
1428. #117	D₃×D₅	semidirect
1494. #67	#709	semidirect
1750. C₃×C₅	#3475	semidirect
1903. C₅	#86827	semidirect
1952. C₃	#10617742	semidirect

Maximal subgroups

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

subgroup	index
#11756286	2
C₅×#5522	2
C₃×#65865	2
#11754656	2
#11754420	2
#11754346	2
C₂×#91403	2
#11753920	2
#11753866	2
#11753563	2
#11753544	2
#11753537	2
#11753467	2
#11753384	2
#11753348	2
#11753271	2
#11753203	2
#11753110	2
#11752982	2
#11752942	2
#11752849	2
#11752823	2
#11752809	2
#11752767	2
D₃×#4018	2
#11752701	2
#11752692	2
#11752689	2
#11752615	2
#11752582	2
C₄×#6769	2
#10617742	3
#86827	5