Subgroups — D₃×#66027 #14483432

Order 1920.

2248 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756452	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×D₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66027	C₂	1	1	yes	maximal, characteristic, complemented
4	D₃×#4044	C₂	1	1	yes	maximal, characteristic, complemented
5	D₃×#4044	C₂	1	1	yes	maximal, characteristic, complemented
6	D₃×#4042	C₂	1	1	yes	maximal, characteristic, complemented
7	D₃×#4042	C₂	1	1	yes	maximal, characteristic, complemented
8	D₃×#4040	C₂	1	1	yes	maximal, characteristic
9	D₃×#4040	C₂	1	1	yes	maximal, characteristic
10	D₃×#4039	C₂	1	1	yes	maximal, characteristic
11	D₃×#4038	C₂	1	1	yes	maximal, characteristic, complemented
12	D₃×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753612	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753610	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753602	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753555	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753523	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753503	C₂	1	1	yes	maximal, characteristic, complemented
19	#11753502	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753482	C₂	1	1	yes	maximal, characteristic, complemented
21	#11753480	C₂	1	1	yes	maximal, characteristic, complemented
22	D₃×#4035	C₂	1	1	yes	maximal, characteristic, complemented
23	D₃×#4035	C₂	1	1	yes	maximal, characteristic, complemented
24	D₃×#4033	C₂	1	1	yes	maximal, characteristic, complemented
25	#11753383	C₂	1	1	yes	maximal, characteristic, complemented
26	#11753349	C₂	1	1	yes	maximal, characteristic, complemented
27	#11753345	C₂	1	1	yes	maximal, characteristic, complemented
28	D₃×#4018	C₂	1	1	yes	maximal, characteristic, complemented
29	D₃×#4018	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752571	C₂	1	1	yes	maximal, characteristic, complemented
31	#11752496	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#66027	—	3	1	no	maximal, Hall
33	C₂×D₃×D₂₀	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
38	C₂×D₃×Dic₁₀	C₂²	1	1	yes	characteristic
39	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
40	#91787	C₂²	1	1	yes	characteristic, complemented
41	#91787	C₂²	1	1	yes	characteristic, complemented
42	#91785	C₂²	1	1	yes	characteristic, complemented
43	#91785	C₂²	1	1	yes	characteristic, complemented
44	#91783	C₂²	1	1	yes	characteristic
45	#91783	C₂²	1	1	yes	characteristic
46	#91782	C₂²	1	1	yes	characteristic
47	#91781	C₂²	1	1	yes	characteristic, complemented
48	C₄⋊C₄×D₁₅	C₂²	1	1	yes	characteristic, complemented
49	#91778	C₂²	1	1	yes	characteristic, complemented
50	#91778	C₂²	1	1	yes	characteristic, complemented
51	#91776	C₂²	1	1	yes	characteristic, complemented
52	#91761	C₂²	1	1	yes	characteristic, complemented
53	#91761	C₂²	1	1	yes	characteristic, complemented
54	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
60	C₅×#890	C₂²	1	1	yes	characteristic, complemented
61	C₅×#890	C₂²	1	1	yes	characteristic, complemented
62	C₅×#889	C₂²	1	1	yes	characteristic, complemented
63	C₅×#889	C₂²	1	1	yes	characteristic, complemented
64	C₅×#889	C₂²	1	1	yes	characteristic, complemented
65	C₅×#889	C₂²	1	1	yes	characteristic, complemented
66	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
67	C₅×#870	C₂²	1	1	yes	characteristic, complemented
68	C₃×#4044	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×#4042	C₂²	1	1	yes	characteristic, complemented
72	C₃×#4040	C₂²	1	1	yes	characteristic
73	C₃×#4040	C₂²	1	1	yes	characteristic
74	C₃×#4039	C₂²	1	1	yes	characteristic
75	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
76	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
80	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
81	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
82	D₃×#685	C₂²	1	1	yes	characteristic
83	D₃×#685	C₂²	1	1	yes	characteristic
84	D₃×#685	C₂²	1	1	yes	characteristic
85	D₃×#685	C₂²	1	1	yes	characteristic
86	D₃×#685	C₂²	1	1	yes	characteristic
87	D₃×#685	C₂²	1	1	yes	characteristic
88	D₃×#685	C₂²	1	1	yes	characteristic
89	D₃×#685	C₂²	1	1	yes	characteristic
90	#91444	C₂²	1	1	yes	characteristic
91	#91444	C₂²	1	1	yes	characteristic
92	#91437	C₂²	1	1	yes	characteristic, complemented
93	#91434	C₂²	1	1	yes	characteristic
94	#91433	C₂²	1	1	yes	characteristic
95	#91433	C₂²	1	1	yes	characteristic
96	#91431	C₂²	1	1	yes	characteristic, complemented
97	#91431	C₂²	1	1	yes	characteristic, complemented
98	#91430	C₂²	1	1	yes	characteristic, complemented
99	#91430	C₂²	1	1	yes	characteristic, complemented
100	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
101	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
102	#91419	C₂²	1	1	yes	characteristic, complemented
103	#91419	C₂²	1	1	yes	characteristic, complemented
104	#91418	C₂²	1	1	yes	characteristic
105	#91413	C₂²	1	1	yes	characteristic
106	#91413	C₂²	1	1	yes	characteristic
107	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
108	#91411	C₂²	1	1	yes	characteristic, complemented
109	#91411	C₂²	1	1	yes	characteristic, complemented
110	#91407	C₂²	1	1	yes	characteristic
111	#91407	C₂²	1	1	yes	characteristic
112	#91404	C₂²	1	1	yes	characteristic, complemented
113	#91404	C₂²	1	1	yes	characteristic, complemented
114	#91403	C₂²	1	1	yes	characteristic, complemented
115	#91403	C₂²	1	1	yes	characteristic, complemented
116	#91403	C₂²	1	1	yes	characteristic, complemented
117	#91403	C₂²	1	1	yes	characteristic, complemented
118	#91402	C₂²	1	1	yes	characteristic, complemented
119	#91402	C₂²	1	1	yes	characteristic, complemented
120	D₃×#683	C₂²	1	1	yes	characteristic
121	D₃×#683	C₂²	1	1	yes	characteristic
122	D₃×#683	C₂²	1	1	yes	characteristic
123	D₃×#683	C₂²	1	1	yes	characteristic
124	D₃×#683	C₂²	1	1	yes	characteristic
125	D₃×#683	C₂²	1	1	yes	characteristic
126	D₃×#683	C₂²	1	1	yes	characteristic
127	D₃×#683	C₂²	1	1	yes	characteristic
128	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
129	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
130	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
131	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
132	#91396	C₂²	1	1	yes	characteristic
133	#91396	C₂²	1	1	yes	characteristic
134	#91394	C₂²	1	1	yes	characteristic, complemented
135	#91394	C₂²	1	1	yes	characteristic, complemented
136	#91393	C₂²	1	1	yes	characteristic, complemented
137	#91393	C₂²	1	1	yes	characteristic, complemented
138	#91393	C₂²	1	1	yes	characteristic, complemented
139	#91393	C₂²	1	1	yes	characteristic, complemented
140	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
141	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
142	#91387	C₂²	1	1	yes	characteristic, complemented
143	#91387	C₂²	1	1	yes	characteristic, complemented
144	#91386	C₂²	1	1	yes	characteristic, complemented
145	#91386	C₂²	1	1	yes	characteristic, complemented
146	#91382	C₂²	1	1	yes	characteristic, complemented
147	#91382	C₂²	1	1	yes	characteristic, complemented
148	#91378	C₂²	1	1	yes	characteristic, complemented
149	#91378	C₂²	1	1	yes	characteristic, complemented
150	#91377	C₂²	1	1	yes	characteristic, complemented
151	#91377	C₂²	1	1	yes	characteristic, complemented
152	#91366	C₂²	1	1	yes	characteristic, complemented
153	#91366	C₂²	1	1	yes	characteristic, complemented
154	#91362	C₂²	1	1	yes	characteristic, complemented
155	#91362	C₂²	1	1	yes	characteristic, complemented
156	#91361	C₂²	1	1	yes	characteristic, complemented
157	#91361	C₂²	1	1	yes	characteristic, complemented
158	#91358	C₂²	1	1	yes	characteristic, complemented
159	#91357	C₂²	1	1	yes	characteristic, complemented
160	#91357	C₂²	1	1	yes	characteristic, complemented
161	#91356	C₂²	1	1	yes	characteristic
162	#91356	C₂²	1	1	yes	characteristic
163	#91354	C₂²	1	1	yes	characteristic
164	#91354	C₂²	1	1	yes	characteristic
165	#91349	C₂²	1	1	yes	characteristic, complemented
166	#91349	C₂²	1	1	yes	characteristic, complemented
167	#91348	C₂²	1	1	yes	characteristic
168	#91348	C₂²	1	1	yes	characteristic
169	#91347	C₂²	1	1	yes	characteristic, complemented
170	#91345	C₂²	1	1	yes	characteristic, complemented
171	#91345	C₂²	1	1	yes	characteristic, complemented
172	#91339	C₂²	1	1	yes	characteristic, complemented
173	#91339	C₂²	1	1	yes	characteristic, complemented
174	#91337	C₂²	1	1	yes	characteristic, complemented
175	#91337	C₂²	1	1	yes	characteristic, complemented
176	#91336	C₂²	1	1	yes	characteristic, complemented
177	#91336	C₂²	1	1	yes	characteristic, complemented
178	#91335	C₂²	1	1	yes	characteristic, complemented
179	#91335	C₂²	1	1	yes	characteristic, complemented
180	#91334	C₂²	1	1	yes	characteristic, complemented
181	#91334	C₂²	1	1	yes	characteristic, complemented
182	#91333	C₂²	1	1	yes	characteristic, complemented
183	#91331	C₂²	1	1	yes	characteristic, complemented
184	#91325	C₂²	1	1	yes	characteristic, complemented
185	#91325	C₂²	1	1	yes	characteristic, complemented
186	#91323	C₂²	1	1	yes	characteristic, complemented
187	#91323	C₂²	1	1	yes	characteristic, complemented
188	D₃×#552	—	5	1	no	maximal, Hall
189	C₂×C₅×#125	—	3	1	no	—
190	#66027	—	3	1	no	—
191	#66027	—	3	1	no	—
192	#66027	—	3	1	no	—
193	#66027	—	3	1	no	—
194	#66027	—	3	1	no	—
195	#66027	—	3	1	no	—
196	#66027	—	3	1	no	—
197	#66027	—	3	1	no	—
198	#66027	—	3	1	no	—
199	#66027	—	3	1	no	—
200	#66027	—	3	1	no	—
201	#66027	—	3	1	no	—
202	#66027	—	3	1	no	—
203	#66027	—	3	1	no	—
204	#66027	—	3	1	no	—
205	#66027	D₃	1	1	yes	characteristic, direct product factor
206	C₂×#4044	—	3	1	no	—
207	C₂×#4044	—	3	1	no	—
208	C₂×#4042	—	3	1	no	—
209	C₂×#4042	—	3	1	no	—
210	C₂×#4040	—	3	1	no	—
211	C₂×#4040	—	3	1	no	—
212	C₂×#4039	—	3	1	no	—
213	C₂×#4038	—	3	1	no	—
214	C₂×D₅×C₄⋊C₄	—	3	1	no	—
215	C₂×#4035	—	3	1	no	—
216	C₂×#4035	—	3	1	no	—
217	C₂×#4033	—	3	1	no	—
218	C₂×#4018	—	3	1	no	—
219	C₂×#4018	—	3	1	no	—
220	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
221	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
222	C₂×D₆₀	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
227	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
228	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
229	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
230	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
231	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
232	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
233	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
234	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
235	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
240	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
241	C₂×#1204	C₂³	1	1	yes	characteristic
242	C₂×#1204	C₂³	1	1	yes	characteristic
243	C₂×#1202	C₂³	1	1	yes	characteristic
244	C₂×#1202	C₂³	1	1	yes	characteristic
245	C₂×#1200	C₂³	1	1	yes	characteristic
246	C₂×#1200	C₂³	1	1	yes	characteristic
247	C₂×#1200	C₂³	1	1	yes	characteristic
248	C₂×#1200	C₂³	1	1	yes	characteristic
249	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
250	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
251	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
252	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
253	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
254	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
255	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
256	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
257	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
258	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
259	D₃×D₂₀	—	2	4	no	—
260	C₄×D₃×D₅	—	2	4	no	—
261	C₄×D₃×D₅	—	2	4	no	—
262	C₄×D₃×D₅	—	2	4	no	—
263	C₄×D₃×D₅	—	2	4	no	—
264	D₃×Dic₁₀	—	2	4	no	—
265	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
272	#6714	C₂³	1	1	yes	characteristic
273	#6714	C₂³	1	1	yes	characteristic
274	#6714	C₂³	1	1	yes	characteristic
275	#6714	C₂³	1	1	yes	characteristic
276	#6714	C₂³	1	1	yes	characteristic
277	#6714	C₂³	1	1	yes	characteristic
278	#6714	C₂³	1	1	yes	characteristic
279	#6714	C₂³	1	1	yes	characteristic
280	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
281	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
282	#6712	C₂³	1	1	yes	characteristic
283	#6712	C₂³	1	1	yes	characteristic
284	#6712	C₂³	1	1	yes	characteristic
285	#6712	C₂³	1	1	yes	characteristic
286	#6712	C₂³	1	1	yes	characteristic
287	#6712	C₂³	1	1	yes	characteristic
288	#6712	C₂³	1	1	yes	characteristic
289	#6712	C₂³	1	1	yes	characteristic
290	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
291	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
292	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
293	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
294	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
295	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
296	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
297	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
298	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
299	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
300	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
302	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
303	C₅×Dic₃⋊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	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
309	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
310	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
311	C₅×Dic₃⋊C₄	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	C₃×#685	C₂³	1	1	yes	characteristic
316	C₃×#685	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×#685	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×C₄×Dic₅	C₂³	1	1	yes	characteristic
334	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
335	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
336	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
337	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
338	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
339	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
340	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
341	#6669	C₂³	1	1	yes	characteristic
342	#6669	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	#6669	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	#6668	C₂³	1	1	yes	characteristic
356	#6668	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	#6667	C₂³	1	1	yes	characteristic
365	#6665	C₂³	1	1	yes	characteristic
366	#6665	C₂³	1	1	yes	characteristic
367	#6665	C₂³	1	1	yes	characteristic
368	#6665	C₂³	1	1	yes	characteristic
369	#6665	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	#5708	—	5	1	no	—
383	#5708	—	5	1	no	—
384	D₃×#126	—	5	1	no	—
385	D₃×#126	—	5	1	no	—
386	#5694	—	5	1	no	—
387	#5693	—	5	1	no	—
388	#5693	—	5	1	no	—
389	D₃×#125	—	5	1	no	—
390	D₃×#125	—	5	1	no	—
391	D₃×#125	D₅	1	1	yes	characteristic, complemented
392	D₃×#123	—	5	1	no	—
393	D₃×#123	—	5	1	no	—
394	#5650	—	5	1	no	—
395	#5650	—	5	1	no	—
396	#5642	—	5	1	no	—
397	#5639	—	5	1	no	—
398	D₃×C₂²⋊Q₈	—	5	1	no	—
399	D₃×C₂²⋊Q₈	—	5	1	no	—
400	#5581	—	5	1	no	—
401	C₄×D₃×Q₈	—	5	1	no	—
402	C₄×D₃×D₄	—	5	1	no	—
403	#5541	—	5	1	no	—
404	#5531	—	5	1	no	—
405	#5531	—	5	1	no	—
406	#5529	—	5	1	no	—
407	D₃×#117	—	5	1	no	—
408	D₃×#117	—	5	1	no	—
409	D₃×#117	—	5	1	no	—
410	#5513	—	5	1	no	—
411	C₂×D₃×C₄⋊C₄	—	5	1	no	—
412	C₂²×D₂₀	—	3	1	no	—
413	C₂²×C₄×D₅	—	3	1	no	—
414	C₂²×C₄×D₅	—	3	1	no	—
415	C₂²×C₄×D₅	—	3	1	no	—
416	C₂²×C₄×D₅	—	3	1	no	—
417	C₂²×Dic₁₀	—	3	1	no	—
418	C₅×#125	—	3	1	no	—
419	C₅×#125	—	3	1	no	—
420	C₅×#125	—	3	1	no	—
421	C₅×#125	—	3	1	no	—
422	C₅×#125	—	3	1	no	—
423	C₅×#125	—	3	1	no	—
424	C₅×#125	—	3	1	no	—
425	C₅×#125	C₂×D₃	1	1	yes	characteristic, complemented
426	C₂×C₅×C₄⋊C₄	—	3	1	no	—
427	C₂×C₅×C₄⋊C₄	—	3	1	no	—
428	C₂×C₅×C₄⋊C₄	—	3	1	no	—
429	C₂×C₅×C₄⋊C₄	—	3	1	no	—
430	C₂×C₅×C₄⋊C₄	—	3	1	no	—
431	C₂×C₅×C₄⋊C₄	—	3	1	no	—
432	C₂×C₄²×C₅	—	3	1	no	—
433	C₂×#685	—	3	1	no	—
434	C₂×#685	—	3	1	no	—
435	C₂×#685	—	3	1	no	—
436	C₂×#685	—	3	1	no	—
437	C₂×#685	—	3	1	no	—
438	C₂×#685	—	3	1	no	—
439	C₂×#685	—	3	1	no	—
440	C₂×#685	—	3	1	no	—
441	C₂×C₄⋊Dic₅	—	3	1	no	—
442	C₂×C₄⋊Dic₅	—	3	1	no	—
443	C₂×#683	—	3	1	no	—
444	C₂×#683	—	3	1	no	—
445	C₂×#683	—	3	1	no	—
446	C₂×#683	—	3	1	no	—
447	C₂×#683	—	3	1	no	—
448	C₂×#683	—	3	1	no	—
449	C₂×#683	—	3	1	no	—
450	C₂×#683	—	3	1	no	—
451	C₂×C₄×Dic₅	—	3	1	no	—
452	C₂×C₄×Dic₅	—	3	1	no	—
453	C₂×C₄×Dic₅	—	3	1	no	—
454	C₂×C₄×Dic₅	—	3	1	no	—
455	#4044	—	3	1	no	—
456	#4044	—	3	1	no	—
457	#4044	—	3	1	no	—
458	#4044	—	3	1	no	—
459	#4044	—	3	1	no	—
460	#4044	—	3	1	no	—
461	#4044	—	3	1	no	—
462	#4044	—	3	1	no	—
463	#4044	—	3	1	no	—
464	#4044	—	3	1	no	—
465	#4044	—	3	1	no	—
466	#4044	—	3	1	no	—
467	#4044	—	3	1	no	—
468	#4044	—	3	1	no	—
469	#4044	C₂×D₃	1	1	yes	characteristic, complemented
470	#4044	C₂×D₃	1	1	yes	characteristic, complemented
471	#4042	—	3	1	no	—
472	#4042	—	3	1	no	—
473	#4042	—	3	1	no	—
474	#4042	—	3	1	no	—
475	#4042	—	3	1	no	—
476	#4042	—	3	1	no	—
477	#4042	—	3	1	no	—
478	#4042	—	3	1	no	—
479	#4042	—	3	1	no	—
480	#4042	—	3	1	no	—
481	#4042	—	3	1	no	—
482	#4042	—	3	1	no	—
483	#4042	—	3	1	no	—
484	#4042	—	3	1	no	—
485	#4042	C₂×D₃	1	1	yes	characteristic, complemented
486	#4042	C₂×D₃	1	1	yes	characteristic, complemented
487	#4040	—	3	1	no	—
488	#4040	—	3	1	no	—
489	#4040	—	3	1	no	—
490	#4040	—	3	1	no	—
491	#4040	—	3	1	no	—
492	#4040	—	3	1	no	—
493	#4040	—	3	1	no	—
494	#4040	—	3	1	no	—
495	#4040	—	3	1	no	—
496	#4040	—	3	1	no	—
497	#4040	—	3	1	no	—
498	#4040	—	3	1	no	—
499	#4040	—	3	1	no	—
500	#4040	—	3	1	no	—
501	#4040	C₂×D₃	1	1	yes	characteristic
502	#4040	C₂×D₃	1	1	yes	characteristic
503	#4039	—	3	1	no	—
504	#4039	—	3	1	no	—
505	#4039	—	3	1	no	—
506	#4039	—	3	1	no	—
507	#4039	—	3	1	no	—
508	#4039	—	3	1	no	—
509	#4039	—	3	1	no	—
510	#4039	C₂×D₃	1	1	yes	characteristic
511	#4038	—	3	1	no	—
512	#4038	—	3	1	no	—
513	#4038	—	3	1	no	—
514	#4038	—	3	1	no	—
515	#4038	—	3	1	no	—
516	#4038	—	3	1	no	—
517	#4038	—	3	1	no	—
518	#4038	C₂×D₃	1	1	yes	characteristic, complemented
519	D₅×C₄⋊C₄	—	3	1	no	—
520	D₅×C₄⋊C₄	—	3	1	no	—
521	D₅×C₄⋊C₄	—	3	1	no	—
522	D₅×C₄⋊C₄	—	3	1	no	—
523	D₅×C₄⋊C₄	—	3	1	no	—
524	D₅×C₄⋊C₄	—	3	1	no	—
525	D₅×C₄⋊C₄	—	3	1	no	—
526	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
527	#4035	—	3	1	no	—
528	#4035	—	3	1	no	—
529	#4035	—	3	1	no	—
530	#4035	—	3	1	no	—
531	#4035	—	3	1	no	—
532	#4035	—	3	1	no	—
533	#4035	—	3	1	no	—
534	#4035	—	3	1	no	—
535	#4035	—	3	1	no	—
536	#4035	—	3	1	no	—
537	#4035	—	3	1	no	—
538	#4035	—	3	1	no	—
539	#4035	—	3	1	no	—
540	#4035	—	3	1	no	—
541	#4035	C₂×D₃	1	1	yes	characteristic, complemented
542	#4035	C₂×D₃	1	1	yes	characteristic, complemented
543	#4033	—	3	1	no	—
544	#4033	—	3	1	no	—
545	#4033	—	3	1	no	—
546	#4033	—	3	1	no	—
547	#4033	—	3	1	no	—
548	#4033	—	3	1	no	—
549	#4033	—	3	1	no	—
550	#4033	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
557	#4018	—	3	1	no	—
558	#4018	—	3	1	no	—
559	#4018	—	3	1	no	—
560	#4018	—	3	1	no	—
561	#4018	—	3	1	no	—
562	#4018	—	3	1	no	—
563	#4018	—	3	1	no	—
564	#4018	—	3	1	no	—
565	#4018	C₂×D₃	1	1	yes	characteristic, complemented
566	#4018	C₂×D₃	1	1	yes	characteristic, complemented
567	C₂×#552	—	15	1	no	Sylow
568	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
569	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
572	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
573	C₂×D₃×D₅	—	2	2	no	—
574	C₂×D₃×D₅	—	2	2	no	—
575	C₂×D₃×D₅	—	2	2	no	—
576	C₂×D₃×D₅	—	2	2	no	—
577	C₂×D₃×D₅	—	2	2	no	—
578	C₂×D₃×D₅	#41	1	4	yes	—
579	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
580	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
581	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
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×Dic₁₅	C₂⁴	1	1	yes	characteristic
587	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
590	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
592	D₆₀	—	2	2	no	—
593	C₄×D₁₅	—	2	2	no	—
594	C₄×D₁₅	—	2	2	no	—
595	C₄×D₁₅	—	2	2	no	—
596	C₄×D₁₅	—	2	2	no	—
597	Dic₃₀	—	2	2	no	—
598	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
605	C₄×C₅×D₃	—	2	2	no	—
606	C₄×C₅×D₃	—	2	2	no	—
607	C₄×C₅×D₃	—	2	2	no	—
608	C₄×C₅×D₃	—	2	2	no	—
609	C₄×C₅×D₃	—	2	2	no	—
610	C₄×C₅×D₃	—	2	2	no	—
611	C₄×C₅×D₃	—	2	2	no	—
612	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
613	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
614	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
615	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
616	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
617	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
618	C₃×D₂₀	—	2	2	no	—
619	C₃×C₄×D₅	—	2	2	no	—
620	C₃×C₄×D₅	—	2	2	no	—
621	C₃×C₄×D₅	—	2	2	no	—
622	C₃×C₄×D₅	—	2	2	no	—
623	C₃×Dic₁₀	—	2	2	no	—
624	#1204	—	2	2	no	—
625	#1204	—	2	2	no	—
626	#1202	—	2	2	no	—
627	#1202	—	2	2	no	—
628	#1200	—	2	2	no	—
629	#1200	—	2	2	no	—
630	#1200	—	2	2	no	—
631	#1200	—	2	2	no	—
632	D₃×Dic₅	—	2	2	no	—
633	D₃×Dic₅	—	2	2	no	—
634	D₃×Dic₅	—	2	2	no	—
635	D₃×Dic₅	—	2	2	no	—
636	D₃×Dic₅	—	2	2	no	—
637	D₃×Dic₅	#41	1	4	yes	—
638	D₅×Dic₃	—	2	2	no	—
639	D₅×Dic₃	—	2	2	no	—
640	D₅×Dic₃	—	2	2	no	—
641	D₅×Dic₃	—	2	2	no	—
642	C₂×D₃×Q₈	—	5	1	no	—
643	C₂×D₃×D₄	—	5	1	no	—
644	C₂²×C₄×D₃	—	5	1	no	—
645	C₂²×C₄×D₃	—	5	1	no	—
646	C₂²×C₄×D₃	—	5	1	no	—
647	C₂²×C₄×D₃	—	5	1	no	—
648	C₃×#126	—	5	1	no	—
649	C₃×#126	—	5	1	no	—
650	C₃×#125	—	5	1	no	—
651	C₃×#125	—	5	1	no	—
652	C₃×#125	C₂×D₅	1	1	yes	characteristic, complemented
653	C₃×#123	—	5	1	no	—
654	C₃×#123	—	5	1	no	—
655	C₃×C₂²⋊Q₈	—	5	1	no	—
656	C₃×C₂²⋊Q₈	—	5	1	no	—
657	C₃×C₄×Q₈	—	5	1	no	—
658	C₃×C₄×D₄	—	5	1	no	—
659	C₃×#117	—	5	1	no	—
660	C₃×#117	—	5	1	no	—
661	C₃×#117	—	5	1	no	—
662	C₂×C₃×C₄⋊C₄	—	5	1	no	—
663	#946	—	5	1	no	—
664	#946	—	5	1	no	—
665	Q₈×Dic₃	—	5	1	no	—
666	#935	—	5	1	no	—
667	#935	—	5	1	no	—
668	D₄×Dic₃	—	5	1	no	—
669	#929	—	5	1	no	—
670	#929	—	5	1	no	—
671	C₄×#67	—	5	1	no	—
672	C₄×#67	—	5	1	no	—
673	#926	—	5	1	no	—
674	#926	—	5	1	no	—
675	#926	—	5	1	no	—
676	C₂×C₄⋊Dic₃	—	5	1	no	—
677	#924	—	5	1	no	—
678	#924	—	5	1	no	—
679	C₂×Dic₃⋊C₄	—	5	1	no	—
680	C₂×Dic₃⋊C₄	—	5	1	no	—
681	#898	—	5	1	no	—
682	#898	—	5	1	no	—
683	#898	—	5	1	no	—
684	#898	—	5	1	no	—
685	#898	—	5	1	no	—
686	#898	—	5	1	no	—
687	#897	—	5	1	no	—
688	#897	—	5	1	no	—
689	#896	—	5	1	no	—
690	#896	—	5	1	no	—
691	#896	—	5	1	no	—
692	#896	—	5	1	no	—
693	#894	—	5	1	no	—
694	#894	—	5	1	no	—
695	#894	—	5	1	no	—
696	#894	—	5	1	no	—
697	#893	—	5	1	no	—
698	#892	—	5	1	no	—
699	#892	—	5	1	no	—
700	#892	—	5	1	no	—
701	#892	—	5	1	no	—
702	#892	—	5	1	no	—
703	#892	—	5	1	no	—
704	D₃×C₄⋊C₄	—	5	1	no	—
705	D₃×C₄⋊C₄	—	5	1	no	—
706	D₃×C₄⋊C₄	—	5	1	no	—
707	D₃×C₄⋊C₄	—	5	1	no	—
708	D₃×C₄⋊C₄	—	5	1	no	—
709	D₃×C₄⋊C₄	—	5	1	no	—
710	D₃×C₄⋊C₄	—	5	1	no	—
711	D₃×C₄⋊C₄	—	5	1	no	—
712	D₃×C₄⋊C₄	—	5	1	no	—
713	D₃×C₄⋊C₄	—	5	1	no	—
714	D₃×C₄⋊C₄	—	5	1	no	—
715	D₃×C₄⋊C₄	—	5	1	no	—
716	D₃×C₄⋊C₄	—	5	1	no	—
717	D₃×C₄⋊C₄	—	5	1	no	—
718	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
719	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
720	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
721	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
722	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
723	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
724	#890	—	5	1	no	—
725	#890	—	5	1	no	—
726	#890	—	5	1	no	—
727	#890	—	5	1	no	—
728	#890	C₂×D₅	1	1	yes	characteristic, complemented
729	#890	C₂×D₅	1	1	yes	characteristic, complemented
730	#889	—	5	1	no	—
731	#889	—	5	1	no	—
732	#889	—	5	1	no	—
733	#889	—	5	1	no	—
734	#889	—	5	1	no	—
735	#889	—	5	1	no	—
736	#889	—	5	1	no	—
737	#889	—	5	1	no	—
738	#889	C₂×D₅	1	1	yes	characteristic, complemented
739	#889	C₂×D₅	1	1	yes	characteristic, complemented
740	#889	C₂×D₅	1	1	yes	characteristic, complemented
741	#889	C₂×D₅	1	1	yes	characteristic, complemented
742	#887	—	5	1	no	—
743	#887	—	5	1	no	—
744	#887	—	5	1	no	—
745	#886	—	5	1	no	—
746	#886	—	5	1	no	—
747	#883	—	5	1	no	—
748	#883	—	5	1	no	—
749	#883	—	5	1	no	—
750	#883	—	5	1	no	—
751	#67⋊C₄	—	5	1	no	—
752	#67⋊C₄	—	5	1	no	—
753	D₃×C₂²⋊C₄	—	5	1	no	—
754	D₃×C₂²⋊C₄	—	5	1	no	—
755	D₃×C₂²⋊C₄	—	5	1	no	—
756	D₃×C₂²⋊C₄	—	5	1	no	—
757	D₃×C₂²⋊C₄	—	5	1	no	—
758	D₃×C₂²⋊C₄	—	5	1	no	—
759	D₃×C₂²⋊C₄	—	5	1	no	—
760	D₃×C₂²⋊C₄	—	5	1	no	—
761	#879	—	5	1	no	—
762	#879	—	5	1	no	—
763	#879	—	5	1	no	—
764	#879	—	5	1	no	—
765	#879	—	5	1	no	—
766	#879	—	5	1	no	—
767	#878	—	5	1	no	—
768	#878	—	5	1	no	—
769	#878	—	5	1	no	—
770	#878	—	5	1	no	—
771	#877	—	5	1	no	—
772	#877	—	5	1	no	—
773	#877	—	5	1	no	—
774	#877	—	5	1	no	—
775	#877	—	5	1	no	—
776	#877	—	5	1	no	—
777	#876	—	5	1	no	—
778	#876	—	5	1	no	—
779	C₄×D₁₂	—	5	1	no	—
780	#872	—	5	1	no	—
781	#872	—	5	1	no	—
782	#872	—	5	1	no	—
783	#872	—	5	1	no	—
784	#872	—	5	1	no	—
785	#872	—	5	1	no	—
786	C₄²×D₃	—	5	1	no	—
787	C₄²×D₃	—	5	1	no	—
788	C₄²×D₃	—	5	1	no	—
789	C₄²×D₃	—	5	1	no	—
790	C₄²×D₃	C₂×D₅	1	1	yes	characteristic
791	#870	—	5	1	no	—
792	#870	—	5	1	no	—
793	#870	C₂×D₅	1	1	yes	characteristic, complemented
794	C₄×Dic₆	—	5	1	no	—
795	C₄×Dic₆	—	5	1	no	—
796	C₄×Dic₆	—	5	1	no	—
797	C₂³×D₅	—	3	1	no	—
798	C₂³×D₅	—	3	1	no	—
799	C₂²×C₄×C₅	—	3	1	no	—
800	C₂²×C₄×C₅	—	3	1	no	—
801	C₂²×C₄×C₅	—	3	1	no	—
802	C₂²×C₄×C₅	—	3	1	no	—
803	C₂²×C₄×C₅	—	3	1	no	—
804	C₂²×C₄×C₅	—	3	1	no	—
805	C₂²×C₄×C₅	—	3	1	no	—
806	C₂²×Dic₅	—	3	1	no	—
807	C₂²×Dic₅	—	3	1	no	—
808	C₂²×Dic₅	—	3	1	no	—
809	C₂²×Dic₅	—	3	1	no	—
810	C₂²×Dic₅	—	3	1	no	—
811	C₂²×Dic₅	—	3	1	no	—
812	C₂×D₂₀	—	3	1	no	—
813	C₂×D₂₀	—	3	1	no	—
814	C₂×D₂₀	—	3	1	no	—
815	C₂×D₂₀	—	6	4	no	—
816	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
817	C₂×C₄×D₅	—	3	1	no	—
818	C₂×C₄×D₅	—	3	1	no	—
819	C₂×C₄×D₅	—	3	1	no	—
820	C₂×C₄×D₅	—	3	1	no	—
821	C₂×C₄×D₅	—	3	1	no	—
822	C₂×C₄×D₅	—	3	1	no	—
823	C₂×C₄×D₅	—	3	1	no	—
824	C₂×C₄×D₅	—	3	1	no	—
825	C₂×C₄×D₅	—	3	1	no	—
826	C₂×C₄×D₅	—	3	1	no	—
827	C₂×C₄×D₅	—	3	1	no	—
828	C₂×C₄×D₅	—	3	1	no	—
829	C₂×C₄×D₅	—	6	4	no	—
830	C₂×C₄×D₅	—	6	4	no	—
831	C₂×C₄×D₅	—	6	4	no	—
832	C₂×C₄×D₅	—	6	4	no	—
833	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
834	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
835	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
836	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
837	C₂×Dic₁₀	—	3	1	no	—
838	C₂×Dic₁₀	—	3	1	no	—
839	C₂×Dic₁₀	—	3	1	no	—
840	C₂×Dic₁₀	—	6	4	no	—
841	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
842	C₅×C₄⋊C₄	—	3	1	no	—
843	C₅×C₄⋊C₄	—	3	1	no	—
844	C₅×C₄⋊C₄	—	3	1	no	—
845	C₅×C₄⋊C₄	—	3	1	no	—
846	C₅×C₄⋊C₄	—	3	1	no	—
847	C₅×C₄⋊C₄	—	3	1	no	—
848	C₅×C₄⋊C₄	—	3	1	no	—
849	C₅×C₄⋊C₄	—	3	1	no	—
850	C₅×C₄⋊C₄	—	3	1	no	—
851	C₅×C₄⋊C₄	—	3	1	no	—
852	C₅×C₄⋊C₄	—	3	1	no	—
853	C₅×C₄⋊C₄	—	3	1	no	—
854	C₅×C₄⋊C₄	—	3	1	no	—
855	C₅×C₄⋊C₄	—	3	1	no	—
856	C₅×C₄⋊C₄	—	3	1	no	—
857	C₅×C₄⋊C₄	—	3	1	no	—
858	C₅×C₄⋊C₄	—	3	1	no	—
859	C₅×C₄⋊C₄	—	3	1	no	—
860	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
861	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
862	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
863	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
864	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
865	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
866	C₄²×C₅	—	3	1	no	—
867	C₄²×C₅	—	3	1	no	—
868	C₄²×C₅	—	3	1	no	—
869	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
870	#685	—	3	1	no	—
871	#685	—	3	1	no	—
872	#685	—	3	1	no	—
873	#685	—	3	1	no	—
874	#685	—	3	1	no	—
875	#685	—	3	1	no	—
876	#685	—	3	1	no	—
877	#685	—	3	1	no	—
878	#685	—	3	1	no	—
879	#685	—	3	1	no	—
880	#685	—	3	1	no	—
881	#685	—	3	1	no	—
882	#685	—	3	1	no	—
883	#685	—	3	1	no	—
884	#685	—	3	1	no	—
885	#685	—	3	1	no	—
886	#685	—	3	1	no	—
887	#685	—	3	1	no	—
888	#685	—	3	1	no	—
889	#685	—	3	1	no	—
890	#685	—	3	1	no	—
891	#685	—	3	1	no	—
892	#685	—	3	1	no	—
893	#685	—	3	1	no	—
894	#685	C₂²×D₃	1	1	yes	characteristic
895	#685	C₂²×D₃	1	1	yes	characteristic
896	#685	C₂²×D₃	1	1	yes	characteristic
897	#685	C₂²×D₃	1	1	yes	characteristic
898	#685	C₂²×D₃	1	1	yes	characteristic
899	#685	C₂²×D₃	1	1	yes	characteristic
900	#685	C₂²×D₃	1	1	yes	characteristic
901	#685	C₂²×D₃	1	1	yes	characteristic
902	C₄⋊Dic₅	—	3	1	no	—
903	C₄⋊Dic₅	—	3	1	no	—
904	C₄⋊Dic₅	—	3	1	no	—
905	C₄⋊Dic₅	—	3	1	no	—
906	C₄⋊Dic₅	—	3	1	no	—
907	C₄⋊Dic₅	—	3	1	no	—
908	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
909	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
910	#683	—	3	1	no	—
911	#683	—	3	1	no	—
912	#683	—	3	1	no	—
913	#683	—	3	1	no	—
914	#683	—	3	1	no	—
915	#683	—	3	1	no	—
916	#683	—	3	1	no	—
917	#683	—	3	1	no	—
918	#683	—	3	1	no	—
919	#683	—	3	1	no	—
920	#683	—	3	1	no	—
921	#683	—	3	1	no	—
922	#683	—	3	1	no	—
923	#683	—	3	1	no	—
924	#683	—	3	1	no	—
925	#683	—	3	1	no	—
926	#683	—	3	1	no	—
927	#683	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
935	#683	C₂²×D₃	1	1	yes	characteristic
936	#683	C₂²×D₃	1	1	yes	characteristic
937	#683	C₂²×D₃	1	1	yes	characteristic
938	#683	C₂²×D₃	1	1	yes	characteristic
939	#683	C₂²×D₃	1	1	yes	characteristic
940	#683	C₂²×D₃	1	1	yes	characteristic
941	#683	C₂²×D₃	1	1	yes	characteristic
942	C₄×Dic₅	—	3	1	no	—
943	C₄×Dic₅	—	3	1	no	—
944	C₄×Dic₅	—	3	1	no	—
945	C₄×Dic₅	—	3	1	no	—
946	C₄×Dic₅	—	3	1	no	—
947	C₄×Dic₅	—	3	1	no	—
948	C₄×Dic₅	—	3	1	no	—
949	C₄×Dic₅	—	3	1	no	—
950	C₄×Dic₅	—	3	1	no	—
951	C₄×Dic₅	—	3	1	no	—
952	C₄×Dic₅	—	3	1	no	—
953	C₄×Dic₅	—	3	1	no	—
954	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
955	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
956	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
957	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
958	#552	—	5	1	no	—
959	#552	—	15	1	no	—
960	#552	—	15	1	no	—
961	#552	—	15	1	no	—
962	#552	—	15	1	no	—
963	#552	—	15	1	no	—
964	#552	—	15	1	no	—
965	#552	—	15	1	no	—
966	#552	—	15	1	no	—
967	#552	—	15	1	no	—
968	#552	—	15	1	no	—
969	#552	—	15	1	no	—
970	#552	—	15	1	no	—
971	#552	—	15	1	no	—
972	#552	—	15	1	no	—
973	#552	—	15	1	no	—
974	C₂×#126	—	15	1	no	—
975	C₂×#126	—	15	1	no	—
976	C₂×#125	—	3	1	no	—
977	C₂×#125	—	15	1	no	—
978	C₂×#125	—	15	1	no	—
979	C₂×#123	—	15	1	no	—
980	C₂×#123	—	15	1	no	—
981	C₂×C₂²⋊Q₈	—	15	1	no	—
982	C₂×C₂²⋊Q₈	—	15	1	no	—
983	C₂×C₄×Q₈	—	15	1	no	—
984	C₂×C₄×D₄	—	15	1	no	—
985	C₂×#117	—	15	1	no	—
986	C₂×#117	—	15	1	no	—
987	C₂×#117	—	15	1	no	—
988	C₂²×C₄⋊C₄	—	15	1	no	—
989	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
990	C₂×D₁₅	—	2	1	no	—
991	C₂×D₁₅	—	2	1	no	—
992	C₂×D₁₅	—	2	1	no	—
993	C₂×D₁₅	—	2	1	no	—
994	C₂×D₁₅	—	2	1	no	—
995	C₂×D₁₅	C₂×#41	1	2	yes	—
996	C₂×C₅×D₃	C₂×#41	1	2	yes	—
997	C₂×C₅×D₃	C₂×#41	1	2	yes	—
998	C₂×C₅×D₃	2₋¹⁺⁴	1	2	yes	—
999	C₂×C₃×D₅	—	2	1	no	—
1000	C₂×C₃×D₅	—	2	1	no	—
1001	C₂×C₃×D₅	—	2	1	no	—
1002	C₂×C₃×D₅	—	2	1	no	—
1003	C₂×C₃×D₅	—	2	1	no	—
1004	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1005	D₃×D₅	—	2	8	no	—
1006	D₃×D₅	—	4	4	no	—
1007	C₃×C₄×C₅	—	2	1	no	—
1008	C₃×C₄×C₅	—	2	1	no	—
1009	C₃×C₄×C₅	—	2	1	no	—
1010	C₃×C₄×C₅	—	2	1	no	—
1011	C₃×C₄×C₅	—	2	1	no	—
1012	C₃×C₄×C₅	—	2	1	no	—
1013	C₃×C₄×C₅	—	2	1	no	—
1014	Dic₁₅	—	2	1	no	—
1015	Dic₁₅	—	2	1	no	—
1016	Dic₁₅	—	2	1	no	—
1017	Dic₁₅	—	2	1	no	—
1018	Dic₁₅	—	2	1	no	—
1019	Dic₁₅	C₂×#41	1	2	yes	—
1020	C₃×Dic₅	—	2	1	no	—
1021	C₃×Dic₅	—	2	1	no	—
1022	C₃×Dic₅	—	2	1	no	—
1023	C₃×Dic₅	—	2	1	no	—
1024	C₃×Dic₅	—	2	1	no	—
1025	C₃×Dic₅	C₂×#41	1	2	yes	—
1026	C₅×Dic₃	—	2	1	no	—
1027	C₅×Dic₃	—	2	1	no	—
1028	C₅×Dic₃	—	2	1	no	—
1029	C₅×Dic₃	—	2	1	no	—
1030	C₅×Dic₃	—	2	1	no	—
1031	C₅×Dic₃	—	2	1	no	—
1032	C₅×Dic₃	—	2	1	no	—
1033	C₂³×D₃	—	5	1	no	—
1034	C₂³×D₃	—	5	1	no	—
1035	C₂×C₃×Q₈	—	5	1	no	—
1036	C₂×C₃×D₄	—	5	1	no	—
1037	C₂²×C₃×C₄	—	5	1	no	—
1038	C₂²×C₃×C₄	—	5	1	no	—
1039	C₂²×C₃×C₄	—	5	1	no	—
1040	C₂²×C₃×C₄	—	5	1	no	—
1041	C₂×#67	—	5	1	no	—
1042	C₂×#67	—	5	1	no	—
1043	C₂²×Dic₃	—	5	1	no	—
1044	C₂²×Dic₃	—	5	1	no	—
1045	C₂²×Dic₃	—	5	1	no	—
1046	C₂²×Dic₃	—	5	1	no	—
1047	D₃×Q₈	—	10	4	no	—
1048	D₃×D₄	—	10	4	no	—
1049	C₂×D₁₂	—	5	1	no	—
1050	C₂×C₄×D₃	—	5	1	no	—
1051	C₂×C₄×D₃	—	5	1	no	—
1052	C₂×C₄×D₃	—	5	1	no	—
1053	C₂×C₄×D₃	—	5	1	no	—
1054	C₂×C₄×D₃	—	5	1	no	—
1055	C₂×C₄×D₃	—	5	1	no	—
1056	C₂×C₄×D₃	—	5	1	no	—
1057	C₂×C₄×D₃	—	5	1	no	—
1058	C₂×C₄×D₃	—	5	1	no	—
1059	C₂×C₄×D₃	—	5	1	no	—
1060	C₂×C₄×D₃	—	5	1	no	—
1061	C₂×C₄×D₃	—	5	1	no	—
1062	C₂×C₄×D₃	—	5	1	no	—
1063	C₂×C₄×D₃	—	5	1	no	—
1064	C₂×C₄×D₃	—	10	4	no	—
1065	C₂×C₄×D₃	—	10	4	no	—
1066	C₂×C₄×D₃	—	10	4	no	—
1067	C₂×C₄×D₃	—	10	4	no	—
1068	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1069	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1070	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1071	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1072	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1073	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1074	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1075	C₂×Dic₆	—	5	1	no	—
1076	C₂×Dic₆	—	5	1	no	—
1077	C₂×Dic₆	—	5	1	no	—
1078	C₃×C₄⋊C₄	—	5	1	no	—
1079	C₃×C₄⋊C₄	—	5	1	no	—
1080	C₃×C₄⋊C₄	—	5	1	no	—
1081	C₃×C₄⋊C₄	—	5	1	no	—
1082	C₃×C₄⋊C₄	—	5	1	no	—
1083	C₃×C₄⋊C₄	—	5	1	no	—
1084	C₃×C₄⋊C₄	—	5	1	no	—
1085	C₃×C₄⋊C₄	—	5	1	no	—
1086	C₃×C₄⋊C₄	—	5	1	no	—
1087	C₃×C₄⋊C₄	—	5	1	no	—
1088	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1089	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1090	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1091	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1092	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1093	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1094	C₃×C₂²⋊C₄	—	5	1	no	—
1095	C₃×C₂²⋊C₄	—	5	1	no	—
1096	C₃×C₂²⋊C₄	—	5	1	no	—
1097	C₃×C₂²⋊C₄	—	5	1	no	—
1098	C₃×C₂²⋊C₄	—	5	1	no	—
1099	C₃×C₂²⋊C₄	—	5	1	no	—
1100	C₃×C₂²⋊C₄	—	5	1	no	—
1101	C₃×C₂²⋊C₄	—	5	1	no	—
1102	C₃×C₄²	—	5	1	no	—
1103	C₃×C₄²	—	5	1	no	—
1104	C₃×C₄²	—	5	1	no	—
1105	C₃×C₄²	—	5	1	no	—
1106	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1107	#217	—	5	1	no	—
1108	#217	—	5	1	no	—
1109	#217	—	5	1	no	—
1110	#217	—	5	1	no	—
1111	#217	—	5	1	no	—
1112	#217	—	5	1	no	—
1113	#217	—	5	1	no	—
1114	#217	—	5	1	no	—
1115	(C₂×D₃)⋊C₄	—	5	1	no	—
1116	(C₂×D₃)⋊C₄	—	5	1	no	—
1117	(C₂×D₃)⋊C₄	—	5	1	no	—
1118	(C₂×D₃)⋊C₄	—	5	1	no	—
1119	(C₂×D₃)⋊C₄	—	5	1	no	—
1120	(C₂×D₃)⋊C₄	—	5	1	no	—
1121	(C₂×D₃)⋊C₄	—	5	1	no	—
1122	(C₂×D₃)⋊C₄	—	5	1	no	—
1123	(C₂×D₃)⋊C₄	—	5	1	no	—
1124	(C₂×D₃)⋊C₄	—	5	1	no	—
1125	(C₂×D₃)⋊C₄	—	5	1	no	—
1126	(C₂×D₃)⋊C₄	—	5	1	no	—
1127	(C₂×D₃)⋊C₄	—	5	1	no	—
1128	(C₂×D₃)⋊C₄	—	5	1	no	—
1129	(C₂×D₃)⋊C₄	—	5	1	no	—
1130	(C₂×D₃)⋊C₄	—	5	1	no	—
1131	C₄⋊Dic₃	—	5	1	no	—
1132	C₄⋊Dic₃	—	5	1	no	—
1133	C₄⋊Dic₃	—	5	1	no	—
1134	C₄⋊Dic₃	—	5	1	no	—
1135	C₄⋊Dic₃	—	5	1	no	—
1136	C₄⋊Dic₃	—	5	1	no	—
1137	C₄⋊Dic₃	—	5	1	no	—
1138	C₄⋊Dic₃	—	5	1	no	—
1139	C₄⋊Dic₃	—	5	1	no	—
1140	C₄⋊Dic₃	—	5	1	no	—
1141	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1142	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1143	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1144	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1145	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1146	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1147	Dic₃⋊C₄	—	5	1	no	—
1148	Dic₃⋊C₄	—	5	1	no	—
1149	Dic₃⋊C₄	—	5	1	no	—
1150	Dic₃⋊C₄	—	5	1	no	—
1151	Dic₃⋊C₄	—	5	1	no	—
1152	Dic₃⋊C₄	—	5	1	no	—
1153	Dic₃⋊C₄	—	5	1	no	—
1154	Dic₃⋊C₄	—	5	1	no	—
1155	Dic₃⋊C₄	—	5	1	no	—
1156	Dic₃⋊C₄	—	5	1	no	—
1157	Dic₃⋊C₄	—	5	1	no	—
1158	Dic₃⋊C₄	—	5	1	no	—
1159	Dic₃⋊C₄	—	5	1	no	—
1160	Dic₃⋊C₄	—	5	1	no	—
1161	Dic₃⋊C₄	—	5	1	no	—
1162	Dic₃⋊C₄	—	5	1	no	—
1163	Dic₃⋊C₄	—	5	1	no	—
1164	Dic₃⋊C₄	—	5	1	no	—
1165	Dic₃⋊C₄	—	5	1	no	—
1166	Dic₃⋊C₄	—	5	1	no	—
1167	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1168	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1169	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1170	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1171	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1172	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1173	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1174	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1175	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1176	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1177	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1178	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1179	C₄×Dic₃	—	5	1	no	—
1180	C₄×Dic₃	—	5	1	no	—
1181	C₄×Dic₃	—	5	1	no	—
1182	C₄×Dic₃	—	5	1	no	—
1183	C₄×Dic₃	—	5	1	no	—
1184	C₄×Dic₃	—	5	1	no	—
1185	C₄×Dic₃	—	5	1	no	—
1186	C₄×Dic₃	—	5	1	no	—
1187	C₄×Dic₃	—	5	1	no	—
1188	C₄×Dic₃	—	5	1	no	—
1189	C₄×Dic₃	—	5	1	no	—
1190	C₄×Dic₃	—	5	1	no	—
1191	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1192	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1193	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1194	C₂³×C₅	—	3	1	no	—
1195	C₂²×D₅	—	3	1	no	—
1196	C₂²×D₅	—	3	4	no	—
1197	C₂²×D₅	—	3	1	no	—
1198	C₂²×D₅	—	6	2	no	—
1199	C₂²×D₅	—	6	2	no	—
1200	C₂²×D₅	—	6	2	no	—
1201	C₂²×D₅	—	6	2	no	—
1202	C₂²×D₅	—	6	2	no	—
1203	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1204	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1205	C₂×C₄×C₅	—	3	1	no	—
1206	C₂×C₄×C₅	—	3	1	no	—
1207	C₂×C₄×C₅	—	3	1	no	—
1208	C₂×C₄×C₅	—	3	1	no	—
1209	C₂×C₄×C₅	—	3	1	no	—
1210	C₂×C₄×C₅	—	3	1	no	—
1211	C₂×C₄×C₅	—	3	1	no	—
1212	C₂×C₄×C₅	—	6	2	no	—
1213	C₂×C₄×C₅	—	6	2	no	—
1214	C₂×C₄×C₅	—	6	2	no	—
1215	C₂×C₄×C₅	—	6	2	no	—
1216	C₂×C₄×C₅	—	6	2	no	—
1217	C₂×C₄×C₅	—	6	2	no	—
1218	C₂×C₄×C₅	—	6	2	no	—
1219	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1220	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1221	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1222	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1223	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1224	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1225	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1226	C₂×Dic₅	—	3	1	no	—
1227	C₂×Dic₅	—	3	4	no	—
1228	C₂×Dic₅	—	3	1	no	—
1229	C₂×Dic₅	—	3	1	no	—
1230	C₂×Dic₅	—	3	1	no	—
1231	C₂×Dic₅	—	3	1	no	—
1232	C₂×Dic₅	—	3	1	no	—
1233	C₂×Dic₅	—	6	2	no	—
1234	C₂×Dic₅	—	6	2	no	—
1235	C₂×Dic₅	—	6	2	no	—
1236	C₂×Dic₅	—	6	2	no	—
1237	C₂×Dic₅	—	6	2	no	—
1238	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1239	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1240	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1241	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1242	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1243	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1244	D₂₀	—	2	2	no	—
1245	D₂₀	—	6	2	no	—
1246	D₂₀	—	6	2	no	—
1247	D₂₀	—	6	2	no	—
1248	C₄×D₅	—	2	2	no	—
1249	C₄×D₅	—	2	2	no	—
1250	C₄×D₅	—	2	2	no	—
1251	C₄×D₅	—	2	2	no	—
1252	C₄×D₅	—	6	2	no	—
1253	C₄×D₅	—	6	2	no	—
1254	C₄×D₅	—	6	2	no	—
1255	C₄×D₅	—	6	2	no	—
1256	C₄×D₅	—	6	2	no	—
1257	C₄×D₅	—	6	2	no	—
1258	C₄×D₅	—	6	2	no	—
1259	C₄×D₅	—	6	2	no	—
1260	C₄×D₅	—	6	2	no	—
1261	C₄×D₅	—	6	2	no	—
1262	C₄×D₅	—	6	2	no	—
1263	C₄×D₅	—	6	2	no	—
1264	Dic₁₀	—	2	2	no	—
1265	Dic₁₀	—	6	2	no	—
1266	Dic₁₀	—	6	2	no	—
1267	Dic₁₀	—	6	2	no	—
1268	C₂²×Q₈	—	15	1	no	—
1269	C₂²×D₄	—	15	1	no	—
1270	C₂³×C₄	—	15	1	no	—
1271	C₂³×C₄	—	15	1	no	—
1272	C₂³×C₄	—	15	1	no	—
1273	C₂³×C₄	—	15	1	no	—
1274	#126	—	5	1	no	—
1275	#126	—	5	1	no	—
1276	#126	—	15	1	no	—
1277	#126	—	15	1	no	—
1278	#126	—	15	1	no	—
1279	#126	—	15	1	no	—
1280	#126	—	15	1	no	—
1281	#126	—	15	1	no	—
1282	#126	—	15	1	no	—
1283	#126	—	15	1	no	—
1284	#126	—	15	1	no	—
1285	#126	—	15	1	no	—
1286	#126	—	15	1	no	—
1287	#126	—	15	1	no	—
1288	#126	—	15	1	no	—
1289	#126	—	15	1	no	—
1290	#125	—	3	1	no	—
1291	#125	—	3	1	no	—
1292	#125	—	3	1	no	—
1293	#125	—	3	1	no	—
1294	#125	—	3	1	no	—
1295	#125	—	3	1	no	—
1296	#125	—	3	1	no	—
1297	#125	—	5	1	no	—
1298	#125	—	5	1	no	—
1299	#125	—	15	1	no	—
1300	#125	—	15	1	no	—
1301	#125	—	15	1	no	—
1302	#125	—	15	1	no	—
1303	#125	—	15	1	no	—
1304	#125	—	15	1	no	—
1305	#125	—	15	1	no	—
1306	#125	—	15	1	no	—
1307	#125	—	15	1	no	—
1308	#125	—	15	1	no	—
1309	#125	—	15	1	no	—
1310	#125	—	15	1	no	—
1311	#125	—	15	1	no	—
1312	#125	—	15	1	no	—
1313	#125	D₃×D₅	1	1	yes	characteristic, complemented
1314	#123	—	5	1	no	—
1315	#123	—	5	1	no	—
1316	#123	—	15	1	no	—
1317	#123	—	15	1	no	—
1318	#123	—	15	1	no	—
1319	#123	—	15	1	no	—
1320	#123	—	15	1	no	—
1321	#123	—	15	1	no	—
1322	#123	—	15	1	no	—
1323	#123	—	15	1	no	—
1324	#123	—	15	1	no	—
1325	#123	—	15	1	no	—
1326	#123	—	15	1	no	—
1327	#123	—	15	1	no	—
1328	#123	—	15	1	no	—
1329	#123	—	15	1	no	—
1330	C₂²⋊Q₈	—	5	1	no	—
1331	C₂²⋊Q₈	—	5	1	no	—
1332	C₂²⋊Q₈	—	15	1	no	—
1333	C₂²⋊Q₈	—	15	1	no	—
1334	C₂²⋊Q₈	—	15	1	no	—
1335	C₂²⋊Q₈	—	15	1	no	—
1336	C₂²⋊Q₈	—	15	1	no	—
1337	C₂²⋊Q₈	—	15	1	no	—
1338	C₂²⋊Q₈	—	15	1	no	—
1339	C₂²⋊Q₈	—	15	1	no	—
1340	C₂²⋊Q₈	—	15	1	no	—
1341	C₂²⋊Q₈	—	15	1	no	—
1342	C₂²⋊Q₈	—	15	1	no	—
1343	C₂²⋊Q₈	—	15	1	no	—
1344	C₂²⋊Q₈	—	15	1	no	—
1345	C₂²⋊Q₈	—	15	1	no	—
1346	C₄×Q₈	—	5	1	no	—
1347	C₄×Q₈	—	15	1	no	—
1348	C₄×Q₈	—	15	1	no	—
1349	C₄×Q₈	—	15	1	no	—
1350	C₄×Q₈	—	15	1	no	—
1351	C₄×Q₈	—	15	1	no	—
1352	C₄×Q₈	—	15	1	no	—
1353	C₄×Q₈	—	15	1	no	—
1354	C₄×D₄	—	5	1	no	—
1355	C₄×D₄	—	15	1	no	—
1356	C₄×D₄	—	15	1	no	—
1357	C₄×D₄	—	15	1	no	—
1358	C₄×D₄	—	15	1	no	—
1359	C₄×D₄	—	15	1	no	—
1360	C₄×D₄	—	15	1	no	—
1361	C₄×D₄	—	15	1	no	—
1362	#117	—	5	1	no	—
1363	#117	—	5	1	no	—
1364	#117	—	5	1	no	—
1365	#117	—	15	1	no	—
1366	#117	—	15	1	no	—
1367	#117	—	15	1	no	—
1368	#117	—	15	1	no	—
1369	#117	—	15	1	no	—
1370	#117	—	15	1	no	—
1371	#117	—	15	1	no	—
1372	#117	—	15	1	no	—
1373	#117	—	15	1	no	—
1374	#117	—	15	1	no	—
1375	#117	—	15	1	no	—
1376	#117	—	15	1	no	—
1377	#117	—	15	1	no	—
1378	#117	—	15	1	no	—
1379	#117	—	15	1	no	—
1380	#117	—	15	1	no	—
1381	#117	—	15	1	no	—
1382	#117	—	15	1	no	—
1383	#117	—	15	1	no	—
1384	#117	—	15	1	no	—
1385	#117	—	15	1	no	—
1386	C₂×C₄⋊C₄	—	3	1	no	—
1387	C₂×C₄⋊C₄	—	3	1	no	—
1388	C₂×C₄⋊C₄	—	3	1	no	—
1389	C₂×C₄⋊C₄	—	3	1	no	—
1390	C₂×C₄⋊C₄	—	3	1	no	—
1391	C₂×C₄⋊C₄	—	3	1	no	—
1392	C₂×C₄⋊C₄	—	5	1	no	—
1393	C₂×C₄⋊C₄	—	15	1	no	—
1394	C₂×C₄⋊C₄	—	15	1	no	—
1395	C₂×C₄⋊C₄	—	15	1	no	—
1396	C₂×C₄⋊C₄	—	15	1	no	—
1397	C₂×C₄⋊C₄	—	15	1	no	—
1398	C₂×C₄⋊C₄	—	15	1	no	—
1399	C₂×C₄⋊C₄	—	15	1	no	—
1400	C₂×C₄⋊C₄	—	15	1	no	—
1401	C₂×C₄⋊C₄	—	15	1	no	—
1402	C₂×C₄⋊C₄	—	15	1	no	—
1403	C₂×C₄⋊C₄	—	15	1	no	—
1404	C₂×C₄⋊C₄	—	15	1	no	—
1405	C₂×C₄⋊C₄	—	15	1	no	—
1406	C₂×C₄⋊C₄	—	15	1	no	—
1407	C₂×C₄⋊C₄	—	15	1	no	—
1408	C₂×C₄⋊C₄	—	15	1	no	—
1409	C₂×C₄⋊C₄	—	15	1	no	—
1410	C₂×C₂²⋊C₄	—	15	1	no	—
1411	C₂×C₂²⋊C₄	—	15	1	no	—
1412	C₂×C₂²⋊C₄	—	15	1	no	—
1413	C₂×C₂²⋊C₄	—	15	1	no	—
1414	C₂×C₂²⋊C₄	—	15	1	no	—
1415	C₂×C₂²⋊C₄	—	15	1	no	—
1416	C₂×C₂²⋊C₄	—	15	1	no	—
1417	C₂×C₂²⋊C₄	—	15	1	no	—
1418	C₂×C₄²	—	3	1	no	—
1419	C₂×C₄²	—	15	1	no	—
1420	C₂×C₄²	—	15	1	no	—
1421	C₂×C₄²	—	15	1	no	—
1422	C₂×C₄²	—	15	1	no	—
1423	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1424	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1425	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1426	D₁₅	—	2	2	no	—
1427	D₁₅	—	4	1	no	—
1428	C₃×D₅	—	2	2	no	—
1429	C₃×D₅	—	4	1	no	—
1430	C₅×D₃	#552	1	4	yes	complemented
1431	C₂³×C₃	—	5	1	no	—
1432	C₂³×C₃	—	5	1	no	—
1433	C₂²×D₃	—	5	1	no	—
1434	C₂²×D₃	—	5	4	no	—
1435	C₂²×D₃	—	5	1	no	—
1436	C₂²×D₃	—	10	2	no	—
1437	C₂²×D₃	—	10	2	no	—
1438	C₂²×D₃	—	10	2	no	—
1439	C₂²×D₃	—	10	2	no	—
1440	C₂²×D₃	—	10	2	no	—
1441	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1442	C₃×Q₈	—	10	2	no	—
1443	C₃×D₄	—	10	2	no	—
1444	C₂×C₃×C₄	—	5	1	no	—
1445	C₂×C₃×C₄	—	5	1	no	—
1446	C₂×C₃×C₄	—	5	1	no	—
1447	C₂×C₃×C₄	—	5	1	no	—
1448	C₂×C₃×C₄	—	5	1	no	—
1449	C₂×C₃×C₄	—	5	1	no	—
1450	C₂×C₃×C₄	—	10	2	no	—
1451	C₂×C₃×C₄	—	10	2	no	—
1452	C₂×C₃×C₄	—	10	2	no	—
1453	C₂×C₃×C₄	—	10	2	no	—
1454	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1455	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1456	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1457	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1458	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1459	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1460	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1461	#67	—	10	2	no	—
1462	#67	—	10	2	no	—
1463	C₂×Dic₃	—	5	1	no	—
1464	C₂×Dic₃	—	5	1	no	—
1465	C₂×Dic₃	—	5	1	no	—
1466	C₂×Dic₃	—	5	1	no	—
1467	C₂×Dic₃	—	5	1	no	—
1468	C₂×Dic₃	—	5	1	no	—
1469	C₂×Dic₃	—	10	2	no	—
1470	C₂×Dic₃	—	10	2	no	—
1471	C₂×Dic₃	—	10	2	no	—
1472	C₂×Dic₃	—	10	2	no	—
1473	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1474	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1475	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1476	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1477	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1478	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1479	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1480	D₁₂	—	10	2	no	—
1481	C₄×D₃	—	2	2	no	—
1482	C₄×D₃	—	2	2	no	—
1483	C₄×D₃	—	2	2	no	—
1484	C₄×D₃	—	2	2	no	—
1485	C₄×D₃	—	2	2	no	—
1486	C₄×D₃	—	2	2	no	—
1487	C₄×D₃	—	2	2	no	—
1488	C₄×D₃	—	5	4	no	—
1489	C₄×D₃	—	10	2	no	—
1490	C₄×D₃	—	10	2	no	—
1491	C₄×D₃	—	10	2	no	—
1492	C₄×D₃	—	10	2	no	—
1493	C₄×D₃	—	10	2	no	—
1494	C₄×D₃	—	10	2	no	—
1495	C₄×D₃	—	10	2	no	—
1496	C₄×D₃	—	10	2	no	—
1497	C₄×D₃	—	10	2	no	—
1498	C₄×D₃	—	10	2	no	—
1499	C₄×D₃	—	10	2	no	—
1500	C₄×D₃	—	10	2	no	—
1501	C₄×D₃	—	10	2	no	—
1502	Dic₆	—	10	2	no	—
1503	Dic₆	—	10	2	no	—
1504	Dic₆	—	10	2	no	—
1505	C₂²×C₅	—	3	2	no	—
1506	C₂²×C₅	—	3	2	no	—
1507	C₂²×C₅	—	3	2	no	—
1508	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1509	C₂×D₅	—	2	1	no	—
1510	C₂×D₅	—	2	1	no	—
1511	C₂×D₅	—	2	1	no	—
1512	C₂×D₅	—	2	1	no	—
1513	C₂×D₅	—	2	1	no	—
1514	C₂×D₅	—	3	2	no	—
1515	C₂×D₅	—	6	8	no	—
1516	C₂×D₅	—	6	1	no	—
1517	C₂×D₅	—	6	1	no	—
1518	C₂×D₅	—	6	1	no	—
1519	C₂×D₅	—	6	1	no	—
1520	C₂×D₅	—	6	1	no	—
1521	C₂×D₅	—	12	4	no	—
1522	C₂×D₅	D₃×#41	1	2	yes	—
1523	C₄×C₅	—	2	1	no	—
1524	C₄×C₅	—	2	1	no	—
1525	C₄×C₅	—	2	1	no	—
1526	C₄×C₅	—	2	1	no	—
1527	C₄×C₅	—	2	1	no	—
1528	C₄×C₅	—	2	1	no	—
1529	C₄×C₅	—	2	1	no	—
1530	C₄×C₅	—	6	1	no	—
1531	C₄×C₅	—	6	1	no	—
1532	C₄×C₅	—	6	1	no	—
1533	C₄×C₅	—	6	1	no	—
1534	C₄×C₅	—	6	1	no	—
1535	C₄×C₅	—	6	1	no	—
1536	C₄×C₅	—	6	1	no	—
1537	Dic₅	—	2	1	no	—
1538	Dic₅	—	2	1	no	—
1539	Dic₅	—	2	1	no	—
1540	Dic₅	—	2	1	no	—
1541	Dic₅	—	2	1	no	—
1542	Dic₅	—	3	2	no	—
1543	Dic₅	—	6	1	no	—
1544	Dic₅	—	6	1	no	—
1545	Dic₅	—	6	1	no	—
1546	Dic₅	—	6	1	no	—
1547	Dic₅	—	6	1	no	—
1548	Dic₅	D₃×#41	1	2	yes	—
1549	C₂⁴	—	15	1	no	—
1550	C₂⁴	—	15	1	no	—
1551	C₂×Q₈	—	5	1	no	—
1552	C₂×Q₈	—	15	1	no	—
1553	C₂×Q₈	—	15	1	no	—
1554	C₂×Q₈	—	15	1	no	—
1555	C₂×Q₈	—	30	4	no	—
1556	C₂×D₄	—	5	1	no	—
1557	C₂×D₄	—	15	1	no	—
1558	C₂×D₄	—	15	1	no	—
1559	C₂×D₄	—	15	1	no	—
1560	C₂×D₄	—	30	4	no	—
1561	C₂²×C₄	—	3	1	no	—
1562	C₂²×C₄	—	3	1	no	—
1563	C₂²×C₄	—	3	1	no	—
1564	C₂²×C₄	—	3	1	no	—
1565	C₂²×C₄	—	3	1	no	—
1566	C₂²×C₄	—	3	1	no	—
1567	C₂²×C₄	—	3	1	no	—
1568	C₂²×C₄	—	5	1	no	—
1569	C₂²×C₄	—	5	1	no	—
1570	C₂²×C₄	—	5	1	no	—
1571	C₂²×C₄	—	5	1	no	—
1572	C₂²×C₄	—	15	1	no	—
1573	C₂²×C₄	—	15	1	no	—
1574	C₂²×C₄	—	15	1	no	—
1575	C₂²×C₄	—	15	1	no	—
1576	C₂²×C₄	—	15	1	no	—
1577	C₂²×C₄	—	15	1	no	—
1578	C₂²×C₄	—	15	1	no	—
1579	C₂²×C₄	—	15	1	no	—
1580	C₂²×C₄	—	15	1	no	—
1581	C₂²×C₄	—	15	1	no	—
1582	C₂²×C₄	—	15	1	no	—
1583	C₂²×C₄	—	15	1	no	—
1584	C₂²×C₄	—	15	1	no	—
1585	C₂²×C₄	—	15	1	no	—
1586	C₂²×C₄	—	15	1	no	—
1587	C₂²×C₄	—	15	1	no	—
1588	C₂²×C₄	—	15	1	no	—
1589	C₂²×C₄	—	15	1	no	—
1590	C₂²×C₄	—	30	4	no	—
1591	C₂²×C₄	—	30	4	no	—
1592	C₂²×C₄	—	30	4	no	—
1593	C₂²×C₄	—	30	4	no	—
1594	C₄⋊C₄	—	3	1	no	—
1595	C₄⋊C₄	—	3	1	no	—
1596	C₄⋊C₄	—	3	1	no	—
1597	C₄⋊C₄	—	3	1	no	—
1598	C₄⋊C₄	—	3	1	no	—
1599	C₄⋊C₄	—	3	1	no	—
1600	C₄⋊C₄	—	3	1	no	—
1601	C₄⋊C₄	—	3	1	no	—
1602	C₄⋊C₄	—	3	1	no	—
1603	C₄⋊C₄	—	3	1	no	—
1604	C₄⋊C₄	—	3	1	no	—
1605	C₄⋊C₄	—	3	1	no	—
1606	C₄⋊C₄	—	3	1	no	—
1607	C₄⋊C₄	—	3	1	no	—
1608	C₄⋊C₄	—	3	1	no	—
1609	C₄⋊C₄	—	3	1	no	—
1610	C₄⋊C₄	—	3	1	no	—
1611	C₄⋊C₄	—	3	1	no	—
1612	C₄⋊C₄	—	5	1	no	—
1613	C₄⋊C₄	—	5	1	no	—
1614	C₄⋊C₄	—	5	1	no	—
1615	C₄⋊C₄	—	5	1	no	—
1616	C₄⋊C₄	—	5	1	no	—
1617	C₄⋊C₄	—	5	1	no	—
1618	C₄⋊C₄	—	5	1	no	—
1619	C₄⋊C₄	—	5	1	no	—
1620	C₄⋊C₄	—	5	1	no	—
1621	C₄⋊C₄	—	5	1	no	—
1622	C₄⋊C₄	—	15	1	no	—
1623	C₄⋊C₄	—	15	1	no	—
1624	C₄⋊C₄	—	15	1	no	—
1625	C₄⋊C₄	—	15	1	no	—
1626	C₄⋊C₄	—	15	1	no	—
1627	C₄⋊C₄	—	15	1	no	—
1628	C₄⋊C₄	—	15	1	no	—
1629	C₄⋊C₄	—	15	1	no	—
1630	C₄⋊C₄	—	15	1	no	—
1631	C₄⋊C₄	—	15	1	no	—
1632	C₄⋊C₄	—	15	1	no	—
1633	C₄⋊C₄	—	15	1	no	—
1634	C₄⋊C₄	—	15	1	no	—
1635	C₄⋊C₄	—	15	1	no	—
1636	C₄⋊C₄	—	15	1	no	—
1637	C₄⋊C₄	—	15	1	no	—
1638	C₄⋊C₄	—	15	1	no	—
1639	C₄⋊C₄	—	15	1	no	—
1640	C₄⋊C₄	—	15	1	no	—
1641	C₄⋊C₄	—	15	1	no	—
1642	C₄⋊C₄	—	15	1	no	—
1643	C₄⋊C₄	—	15	1	no	—
1644	C₄⋊C₄	—	15	1	no	—
1645	C₄⋊C₄	—	15	1	no	—
1646	C₄⋊C₄	—	15	1	no	—
1647	C₄⋊C₄	—	15	1	no	—
1648	C₄⋊C₄	—	15	1	no	—
1649	C₄⋊C₄	—	15	1	no	—
1650	C₄⋊C₄	—	15	1	no	—
1651	C₄⋊C₄	—	15	1	no	—
1652	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1653	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1654	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1655	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1656	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1657	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1658	C₂²⋊C₄	—	5	1	no	—
1659	C₂²⋊C₄	—	5	1	no	—
1660	C₂²⋊C₄	—	5	1	no	—
1661	C₂²⋊C₄	—	5	1	no	—
1662	C₂²⋊C₄	—	5	1	no	—
1663	C₂²⋊C₄	—	5	1	no	—
1664	C₂²⋊C₄	—	5	1	no	—
1665	C₂²⋊C₄	—	5	1	no	—
1666	C₂²⋊C₄	—	15	1	no	—
1667	C₂²⋊C₄	—	15	1	no	—
1668	C₂²⋊C₄	—	15	1	no	—
1669	C₂²⋊C₄	—	15	1	no	—
1670	C₂²⋊C₄	—	15	1	no	—
1671	C₂²⋊C₄	—	15	1	no	—
1672	C₂²⋊C₄	—	15	1	no	—
1673	C₂²⋊C₄	—	15	1	no	—
1674	C₂²⋊C₄	—	15	1	no	—
1675	C₂²⋊C₄	—	15	1	no	—
1676	C₂²⋊C₄	—	15	1	no	—
1677	C₂²⋊C₄	—	15	1	no	—
1678	C₂²⋊C₄	—	15	1	no	—
1679	C₂²⋊C₄	—	15	1	no	—
1680	C₂²⋊C₄	—	15	1	no	—
1681	C₂²⋊C₄	—	15	1	no	—
1682	C₂²⋊C₄	—	15	1	no	—
1683	C₂²⋊C₄	—	15	1	no	—
1684	C₂²⋊C₄	—	15	1	no	—
1685	C₂²⋊C₄	—	15	1	no	—
1686	C₂²⋊C₄	—	15	1	no	—
1687	C₂²⋊C₄	—	15	1	no	—
1688	C₂²⋊C₄	—	15	1	no	—
1689	C₂²⋊C₄	—	15	1	no	—
1690	C₄²	—	3	1	no	—
1691	C₄²	—	3	1	no	—
1692	C₄²	—	3	1	no	—
1693	C₄²	—	5	1	no	—
1694	C₄²	—	5	1	no	—
1695	C₄²	—	5	1	no	—
1696	C₄²	—	5	1	no	—
1697	C₄²	—	15	1	no	—
1698	C₄²	—	15	1	no	—
1699	C₄²	—	15	1	no	—
1700	C₄²	—	15	1	no	—
1701	C₄²	—	15	1	no	—
1702	C₄²	—	15	1	no	—
1703	C₄²	—	15	1	no	—
1704	C₄²	—	15	1	no	—
1705	C₄²	—	15	1	no	—
1706	C₄²	—	15	1	no	—
1707	C₄²	—	15	1	no	—
1708	C₄²	—	15	1	no	—
1709	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1710	C₃×C₅	C₂×#552	1	1	yes	characteristic, complemented, Hall
1711	C₂²×C₃	—	5	2	no	—
1712	C₂²×C₃	—	10	1	no	—
1713	C₂²×C₃	—	10	1	no	—
1714	C₂²×C₃	—	10	1	no	—
1715	C₂²×C₃	—	10	1	no	—
1716	C₂²×C₃	—	10	1	no	—
1717	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1718	C₂×D₃	—	5	2	no	—
1719	C₂×D₃	—	10	1	no	—
1720	C₂×D₃	—	10	1	no	—
1721	C₂×D₃	—	10	8	no	—
1722	C₂×D₃	—	10	1	no	—
1723	C₂×D₃	—	10	1	no	—
1724	C₂×D₃	—	10	1	no	—
1725	C₂×D₃	—	20	4	no	—
1726	C₂×D₃	#4147	1	2	yes	—
1727	C₂×D₃	D₅×#41	1	2	yes	—
1728	C₂×D₃	D₅×#41	1	2	yes	—
1729	C₃×C₄	—	2	1	no	—
1730	C₃×C₄	—	2	1	no	—
1731	C₃×C₄	—	2	1	no	—
1732	C₃×C₄	—	2	1	no	—
1733	C₃×C₄	—	2	1	no	—
1734	C₃×C₄	—	2	1	no	—
1735	C₃×C₄	—	2	1	no	—
1736	C₃×C₄	—	5	2	no	—
1737	C₃×C₄	—	10	1	no	—
1738	C₃×C₄	—	10	1	no	—
1739	C₃×C₄	—	10	1	no	—
1740	C₃×C₄	—	10	1	no	—
1741	C₃×C₄	—	10	1	no	—
1742	Dic₃	—	2	1	no	—
1743	Dic₃	—	2	1	no	—
1744	Dic₃	—	2	1	no	—
1745	Dic₃	—	2	1	no	—
1746	Dic₃	—	2	1	no	—
1747	Dic₃	—	2	1	no	—
1748	Dic₃	—	2	1	no	—
1749	Dic₃	—	5	2	no	—
1750	Dic₃	—	10	1	no	—
1751	Dic₃	—	10	1	no	—
1752	Dic₃	—	10	1	no	—
1753	Dic₃	—	10	1	no	—
1754	Dic₃	—	10	1	no	—
1755	C₂×C₅	—	3	4	no	—
1756	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1757	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1758	C₂×C₅	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1759	D₅	—	2	2	no	—
1760	D₅	—	4	1	no	—
1761	D₅	—	6	2	no	—
1762	D₅	—	12	1	no	—
1763	C₂³	—	3	1	no	—
1764	C₂³	—	5	1	no	—
1765	C₂³	—	5	1	no	—
1766	C₂³	—	15	4	no	—
1767	C₂³	—	15	1	no	—
1768	C₂³	—	15	1	no	—
1769	C₂³	—	30	2	no	—
1770	C₂³	—	30	2	no	—
1771	C₂³	—	30	2	no	—
1772	C₂³	—	30	2	no	—
1773	C₂³	—	30	2	no	—
1774	Q₈	—	10	2	no	—
1775	Q₈	—	30	2	no	—
1776	Q₈	—	30	2	no	—
1777	Q₈	—	30	2	no	—
1778	D₄	—	10	2	no	—
1779	D₄	—	30	2	no	—
1780	D₄	—	30	2	no	—
1781	D₄	—	30	2	no	—
1782	C₂×C₄	—	3	1	no	—
1783	C₂×C₄	—	3	1	no	—
1784	C₂×C₄	—	3	1	no	—
1785	C₂×C₄	—	3	1	no	—
1786	C₂×C₄	—	3	1	no	—
1787	C₂×C₄	—	3	1	no	—
1788	C₂×C₄	—	3	1	no	—
1789	C₂×C₄	—	5	1	no	—
1790	C₂×C₄	—	5	1	no	—
1791	C₂×C₄	—	5	1	no	—
1792	C₂×C₄	—	5	1	no	—
1793	C₂×C₄	—	5	1	no	—
1794	C₂×C₄	—	5	1	no	—
1795	C₂×C₄	—	6	2	no	—
1796	C₂×C₄	—	6	2	no	—
1797	C₂×C₄	—	6	2	no	—
1798	C₂×C₄	—	6	2	no	—
1799	C₂×C₄	—	6	2	no	—
1800	C₂×C₄	—	6	2	no	—
1801	C₂×C₄	—	6	2	no	—
1802	C₂×C₄	—	10	2	no	—
1803	C₂×C₄	—	10	2	no	—
1804	C₂×C₄	—	10	2	no	—
1805	C₂×C₄	—	10	2	no	—
1806	C₂×C₄	—	15	4	no	—
1807	C₂×C₄	—	15	1	no	—
1808	C₂×C₄	—	15	1	no	—
1809	C₂×C₄	—	15	1	no	—
1810	C₂×C₄	—	15	1	no	—
1811	C₂×C₄	—	15	1	no	—
1812	C₂×C₄	—	15	1	no	—
1813	C₂×C₄	—	30	2	no	—
1814	C₂×C₄	—	30	2	no	—
1815	C₂×C₄	—	30	2	no	—
1816	C₂×C₄	—	30	2	no	—
1817	C₂×C₄	—	30	2	no	—
1818	C₂×C₄	—	30	2	no	—
1819	C₂×C₄	—	30	2	no	—
1820	C₂×C₄	—	30	2	no	—
1821	C₂×C₄	—	30	2	no	—
1822	C₂×C₄	—	30	2	no	—
1823	C₂×C₄	—	30	2	no	—
1824	C₂×C₄	—	30	2	no	—
1825	C₂×C₄	—	30	2	no	—
1826	C₂×C₄	—	30	2	no	—
1827	C₂×C₄	—	30	2	no	—
1828	C₂×C₄	—	30	2	no	—
1829	C₂×C₄	—	30	2	no	—
1830	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1831	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1832	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1833	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1834	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1835	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1836	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1837	C₂×C₃	—	10	2	no	—
1838	C₂×C₃	—	20	1	no	—
1839	C₂×C₃	C₂×#4147	1	1	yes	characteristic
1840	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1841	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1842	D₃	—	10	2	no	—
1843	D₃	—	20	1	no	—
1844	D₃	#66027	1	4	yes	direct product factor
1845	C₅	D₃×#552	1	1	yes	characteristic, complemented, Sylow
1846	C₂²	—	3	2	no	—
1847	C₂²	—	3	2	no	—
1848	C₂²	—	3	2	no	—
1849	C₂²	—	5	2	no	—
1850	C₂²	—	10	1	no	—
1851	C₂²	—	10	1	no	—
1852	C₂²	—	10	1	no	—
1853	C₂²	—	10	1	no	—
1854	C₂²	—	10	1	no	—
1855	C₂²	—	15	2	no	—
1856	C₂²	—	30	8	no	—
1857	C₂²	—	30	1	no	—
1858	C₂²	—	30	1	no	—
1859	C₂²	—	30	1	no	—
1860	C₂²	—	30	1	no	—
1861	C₂²	—	30	1	no	—
1862	C₂²	—	60	4	no	—
1863	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	2	1	no	—
1870	C₄	—	2	1	no	—
1871	C₄	—	5	2	no	—
1872	C₄	—	6	1	no	—
1873	C₄	—	6	1	no	—
1874	C₄	—	6	1	no	—
1875	C₄	—	6	1	no	—
1876	C₄	—	6	1	no	—
1877	C₄	—	6	1	no	—
1878	C₄	—	6	1	no	—
1879	C₄	—	10	1	no	—
1880	C₄	—	10	1	no	—
1881	C₄	—	10	1	no	—
1882	C₄	—	10	1	no	—
1883	C₄	—	10	1	no	—
1884	C₄	—	15	2	no	—
1885	C₄	—	30	1	no	—
1886	C₄	—	30	1	no	—
1887	C₄	—	30	1	no	—
1888	C₄	—	30	1	no	—
1889	C₄	—	30	1	no	—
1890	C₃	C₂×#66027	1	1	yes	characteristic, complemented, Sylow
1891	C₂	—	3	4	no	—
1892	C₂	—	10	2	no	—
1893	C₂	—	20	1	no	—
1894	C₂	—	30	2	no	—
1895	C₂	—	60	1	no	—
1896	C₂	D₃×#4147	1	1	yes	characteristic
1897	C₂	D₃×D₅×#41	1	1	yes	characteristic
1898	C₂	D₃×D₅×#41	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×D₃×D₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁵
Fitting	C₃×C₅×#125	C₂²
prime radical	C₂×D₃×D₂₀	C₂²
hypercenter	#125	D₃×D₅
hypocenter	C₃×C₅	C₂×#552
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #125

Complements

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

N	H ≅ G/N	type
1. #11756452	C₂	semidirect
2. C₅×D₃×#125	C₂	semidirect
3. C₃×#66027	C₂	semidirect
4. D₃×#4044	C₂	semidirect
5. D₃×#4044	C₂	semidirect
6. D₃×#4042	C₂	semidirect
7. D₃×#4042	C₂	semidirect
11. D₃×#4038	C₂	semidirect
12. D₃×D₅×C₄⋊C₄	C₂	semidirect
13. #11753612	C₂	semidirect
14. #11753610	C₂	semidirect
15. #11753602	C₂	semidirect
16. #11753555	C₂	semidirect
17. #11753523	C₂	semidirect
18. #11753503	C₂	semidirect
19. #11753502	C₂	semidirect
20. #11753482	C₂	semidirect
21. #11753480	C₂	semidirect
22. D₃×#4035	C₂	semidirect
23. D₃×#4035	C₂	semidirect
24. D₃×#4033	C₂	semidirect
25. #11753383	C₂	semidirect
26. #11753349	C₂	semidirect
27. #11753345	C₂	semidirect
28. D₃×#4018	C₂	semidirect
29. D₃×#4018	C₂	semidirect
30. #11752571	C₂	semidirect
31. #11752496	C₂	semidirect
39. C₃×C₅×#125	C₂²	semidirect
40. #91787	C₂²	semidirect
41. #91787	C₂²	semidirect
42. #91785	C₂²	semidirect
43. #91785	C₂²	semidirect
47. #91781	C₂²	semidirect
48. C₄⋊C₄×D₁₅	C₂²	semidirect
49. #91778	C₂²	semidirect
50. #91778	C₂²	semidirect
51. #91776	C₂²	semidirect
52. #91761	C₂²	semidirect
53. #91761	C₂²	semidirect
60. C₅×#890	C₂²	semidirect
61. C₅×#890	C₂²	semidirect
62. C₅×#889	C₂²	semidirect
63. C₅×#889	C₂²	semidirect
64. C₅×#889	C₂²	semidirect
65. C₅×#889	C₂²	semidirect
67. C₅×#870	C₂²	semidirect
68. C₃×#4044	C₂²	semidirect
69. C₃×#4044	C₂²	semidirect
70. C₃×#4042	C₂²	semidirect
71. C₃×#4042	C₂²	semidirect
75. C₃×#4038	C₂²	semidirect
76. C₃×D₅×C₄⋊C₄	C₂²	semidirect
77. C₃×#4035	C₂²	semidirect
78. C₃×#4035	C₂²	semidirect
79. C₃×#4033	C₂²	semidirect
80. C₃×#4018	C₂²	semidirect
81. C₃×#4018	C₂²	semidirect
92. #91437	C₂²	semidirect
96. #91431	C₂²	semidirect
97. #91431	C₂²	semidirect
98. #91430	C₂²	semidirect
99. #91430	C₂²	semidirect
102. #91419	C₂²	semidirect
103. #91419	C₂²	semidirect
107. D₅×C₄⋊Dic₃	C₂²	semidirect
108. #91411	C₂²	semidirect
109. #91411	C₂²	semidirect
112. #91404	C₂²	semidirect
113. #91404	C₂²	semidirect
114. #91403	C₂²	semidirect
115. #91403	C₂²	semidirect
116. #91403	C₂²	semidirect
117. #91403	C₂²	semidirect
118. #91402	C₂²	semidirect
119. #91402	C₂²	semidirect
134. #91394	C₂²	semidirect
135. #91394	C₂²	semidirect
136. #91393	C₂²	semidirect
137. #91393	C₂²	semidirect
138. #91393	C₂²	semidirect
139. #91393	C₂²	semidirect
140. D₅×Dic₃⋊C₄	C₂²	semidirect
141. D₅×Dic₃⋊C₄	C₂²	semidirect
142. #91387	C₂²	semidirect
143. #91387	C₂²	semidirect
144. #91386	C₂²	semidirect
145. #91386	C₂²	semidirect
146. #91382	C₂²	semidirect
147. #91382	C₂²	semidirect
148. #91378	C₂²	semidirect
149. #91378	C₂²	semidirect
150. #91377	C₂²	semidirect
151. #91377	C₂²	semidirect
152. #91366	C₂²	semidirect
153. #91366	C₂²	semidirect
154. #91362	C₂²	semidirect
155. #91362	C₂²	semidirect
156. #91361	C₂²	semidirect
157. #91361	C₂²	semidirect
158. #91358	C₂²	semidirect
159. #91357	C₂²	semidirect
160. #91357	C₂²	semidirect
165. #91349	C₂²	semidirect
166. #91349	C₂²	semidirect
169. #91347	C₂²	semidirect
170. #91345	C₂²	semidirect
171. #91345	C₂²	semidirect
172. #91339	C₂²	semidirect
173. #91339	C₂²	semidirect
174. #91337	C₂²	semidirect
175. #91337	C₂²	semidirect
176. #91336	C₂²	semidirect
177. #91336	C₂²	semidirect
178. #91335	C₂²	semidirect
179. #91335	C₂²	semidirect
180. #91334	C₂²	semidirect
181. #91334	C₂²	semidirect
182. #91333	C₂²	semidirect
183. #91331	C₂²	semidirect
184. #91325	C₂²	semidirect
185. #91325	C₂²	semidirect
186. #91323	C₂²	semidirect
187. #91323	C₂²	semidirect
205. #66027	D₃	direct (N × H)
391. D₃×#125	D₅	semidirect
425. C₅×#125	C₂×D₃	semidirect
469. #4044	C₂×D₃	semidirect
470. #4044	C₂×D₃	semidirect
485. #4042	C₂×D₃	semidirect
486. #4042	C₂×D₃	semidirect
518. #4038	C₂×D₃	semidirect
526. D₅×C₄⋊C₄	C₂×D₃	semidirect
541. #4035	C₂×D₃	semidirect
542. #4035	C₂×D₃	semidirect
550. #4033	C₂×D₃	semidirect
565. #4018	C₂×D₃	semidirect
566. #4018	C₂×D₃	semidirect
652. C₃×#125	C₂×D₅	semidirect
728. #890	C₂×D₅	semidirect
729. #890	C₂×D₅	semidirect
738. #889	C₂×D₅	semidirect
739. #889	C₂×D₅	semidirect
740. #889	C₂×D₅	semidirect
741. #889	C₂×D₅	semidirect
793. #870	C₂×D₅	semidirect
1313. #125	D₃×D₅	semidirect
1430. C₅×D₃	#552	semidirect
1710. C₃×C₅	C₂×#552	semidirect
1844. D₃	#66027	direct (N × H)
1845. C₅	D₃×#552	semidirect
1890. C₃	C₂×#66027	semidirect

Maximal subgroups

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

subgroup	index
#11756452	2
C₅×D₃×#125	2
C₃×#66027	2
D₃×#4044	2
D₃×#4042	2
D₃×#4040	2
D₃×#4039	2
D₃×#4038	2
D₃×D₅×C₄⋊C₄	2
#11753612	2
#11753610	2
#11753602	2
#11753555	2
#11753523	2
#11753503	2
#11753502	2
#11753482	2
#11753480	2
D₃×#4035	2
D₃×#4033	2
#11753383	2
#11753349	2
#11753345	2
D₃×#4018	2
#11752571	2
#11752496	2
C₂×#66027	3
D₃×#552	5

Subgroups — D3×#66027 #14483432

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₃×#66027 #14483432