Subgroups — #14484680

Order 1920.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1852 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756395	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5622	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65970	C₂	1	1	yes	maximal, characteristic, complemented
4	#11755266	C₂	1	1	yes	maximal, characteristic, complemented
5	#11755185	C₂	1	1	yes	maximal, characteristic, complemented
6	#11755178	C₂	1	1	yes	maximal, characteristic, complemented
7	#11755173	C₂	1	1	yes	maximal, characteristic, complemented
8	#11754445	C₂	1	1	yes	maximal, characteristic, complemented
9	#11754417	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄×#6779	C₂	1	1	yes	maximal, characteristic
11	C₂×#91324	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753828	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753826	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753714	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753467	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753467	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753453	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753444	C₂	1	1	yes	maximal, characteristic, complemented
19	#11753444	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753431	C₂	1	1	yes	maximal, characteristic, complemented
21	#11753409	C₂	1	1	yes	maximal, characteristic, complemented
22	D₅×#887	C₂	1	1	yes	maximal, characteristic, complemented
23	#11753309	C₂	1	1	yes	maximal, characteristic, complemented
24	#11753000	C₂	1	1	yes	maximal, characteristic, complemented
25	#11752981	C₂	1	1	yes	maximal, characteristic, complemented
26	#11752862	C₂	1	1	yes	maximal, characteristic, complemented
27	#11752860	C₂	1	1	yes	maximal, characteristic, complemented
28	#11752818	C₂	1	1	yes	maximal, characteristic
29	#11752818	C₂	1	1	yes	maximal, characteristic
30	#11752780	C₂	1	1	yes	maximal, characteristic, complemented
31	#11752780	C₂	1	1	yes	maximal, characteristic, complemented
32	#10618178	—	3	1	no	maximal, Hall
33	C₂²×#1204	C₂²	1	1	yes	characteristic
34	C₂×#6779	C₂²	1	1	yes	characteristic
35	C₂×D₁₅⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×D₅×Dic₆	C₂²	1	1	yes	characteristic
37	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	#91835	C₂²	1	1	yes	characteristic
39	#91833	C₂²	1	1	yes	characteristic
40	C₄×#1220	C₂²	1	1	yes	characteristic
41	C₂×#6712	C₂²	1	1	yes	characteristic
42	#91785	C₂²	1	1	yes	characteristic
43	#91785	C₂²	1	1	yes	characteristic
44	C₄⋊C₄×D₁₅	C₂²	1	1	yes	characteristic
45	#91778	C₂²	1	1	yes	characteristic
46	#91778	C₂²	1	1	yes	characteristic
47	#91776	C₂²	1	1	yes	characteristic
48	#91770	C₂²	1	1	yes	characteristic
49	#91770	C₂²	1	1	yes	characteristic
50	#91767	C₂²	1	1	yes	characteristic
51	#91767	C₂²	1	1	yes	characteristic
52	C₅×Q₈×Dic₃	C₂²	1	1	yes	characteristic
53	C₅×#944	C₂²	1	1	yes	characteristic
54	C₅×#924	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
56	C₅×#889	C₂²	1	1	yes	characteristic
57	C₅×#889	C₂²	1	1	yes	characteristic
58	C₅×#888	C₂²	1	1	yes	characteristic
59	C₅×#887	C₂²	1	1	yes	characteristic
60	C₅×#887	C₂²	1	1	yes	characteristic
61	C₅×#887	C₂²	1	1	yes	characteristic
62	C₅×#878	C₂²	1	1	yes	characteristic
63	C₅×#878	C₂²	1	1	yes	characteristic
64	C₅×#877	C₂²	1	1	yes	characteristic
65	C₅×#877	C₂²	1	1	yes	characteristic
66	C₃×#4092	C₂²	1	1	yes	characteristic
67	C₃×#4090	C₂²	1	1	yes	characteristic
68	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
69	C₂×C₃×#683	C₂²	1	1	yes	characteristic
70	C₃×#4042	C₂²	1	1	yes	characteristic
71	C₃×#4042	C₂²	1	1	yes	characteristic
72	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
73	C₃×#4035	C₂²	1	1	yes	characteristic
74	C₃×#4035	C₂²	1	1	yes	characteristic
75	C₃×#4033	C₂²	1	1	yes	characteristic
76	C₃×#4027	C₂²	1	1	yes	characteristic
77	C₃×#4027	C₂²	1	1	yes	characteristic
78	C₃×#4024	C₂²	1	1	yes	characteristic
79	C₃×#4024	C₂²	1	1	yes	characteristic
80	#91576	C₂²	1	1	yes	characteristic
81	#91576	C₂²	1	1	yes	characteristic
82	#91574	C₂²	1	1	yes	characteristic
83	#91574	C₂²	1	1	yes	characteristic
84	#91559	C₂²	1	1	yes	characteristic
85	#91559	C₂²	1	1	yes	characteristic
86	#91556	C₂²	1	1	yes	characteristic
87	Dic₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
88	#91552	C₂²	1	1	yes	characteristic
89	#91552	C₂²	1	1	yes	characteristic
90	C₂×Dic₃⋊Dic₅	C₂²	1	1	yes	characteristic
91	#91529	C₂²	1	1	yes	characteristic
92	C₂×Dic₃×Dic₅	C₂²	1	1	yes	characteristic
93	C₂×Dic₃×Dic₅	C₂²	1	1	yes	characteristic
94	#91470	C₂²	1	1	yes	characteristic
95	#91468	C₂²	1	1	yes	characteristic
96	C₄×#1204	C₂²	1	1	yes	characteristic
97	#91444	C₂²	1	1	yes	characteristic
98	#91444	C₂²	1	1	yes	characteristic
99	C₄×#1202	C₂²	1	1	yes	characteristic
100	#91430	C₂²	1	1	yes	characteristic
101	#91430	C₂²	1	1	yes	characteristic
102	#91429	C₂²	1	1	yes	characteristic
103	#91429	C₂²	1	1	yes	characteristic
104	#91424	C₂²	1	1	yes	characteristic
105	#91424	C₂²	1	1	yes	characteristic
106	#91422	C₂²	1	1	yes	characteristic
107	#91422	C₂²	1	1	yes	characteristic
108	#91421	C₂²	1	1	yes	characteristic
109	#91421	C₂²	1	1	yes	characteristic
110	#91419	C₂²	1	1	yes	characteristic
111	#91419	C₂²	1	1	yes	characteristic
112	#91404	C₂²	1	1	yes	characteristic
113	#91404	C₂²	1	1	yes	characteristic
114	#91403	C₂²	1	1	yes	characteristic
115	#91403	C₂²	1	1	yes	characteristic
116	#91403	C₂²	1	1	yes	characteristic
117	C₄×#1200	C₂²	1	1	yes	characteristic
118	C₄×#1200	C₂²	1	1	yes	characteristic
119	C₄×#1200	C₂²	1	1	yes	characteristic
120	#91396	C₂²	1	1	yes	characteristic
121	#91396	C₂²	1	1	yes	characteristic
122	#91395	C₂²	1	1	yes	characteristic
123	#91393	C₂²	1	1	yes	characteristic
124	#91393	C₂²	1	1	yes	characteristic
125	#91393	C₂²	1	1	yes	characteristic
126	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
127	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
128	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
129	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
130	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
131	#91390	C₂²	1	1	yes	characteristic
132	#91382	C₂²	1	1	yes	characteristic
133	#91382	C₂²	1	1	yes	characteristic
134	#91378	C₂²	1	1	yes	characteristic
135	#91378	C₂²	1	1	yes	characteristic
136	#91377	C₂²	1	1	yes	characteristic
137	#91377	C₂²	1	1	yes	characteristic
138	#91360	C₂²	1	1	yes	characteristic
139	#91349	C₂²	1	1	yes	characteristic
140	#91349	C₂²	1	1	yes	characteristic
141	#91346	C₂²	1	1	yes	characteristic
142	#91346	C₂²	1	1	yes	characteristic
143	#91344	C₂²	1	1	yes	characteristic
144	#91343	C₂²	1	1	yes	characteristic
145	#91343	C₂²	1	1	yes	characteristic
146	#91340	C₂²	1	1	yes	characteristic
147	#91340	C₂²	1	1	yes	characteristic
148	#91336	C₂²	1	1	yes	characteristic
149	#91336	C₂²	1	1	yes	characteristic
150	#91335	C₂²	1	1	yes	characteristic
151	#91335	C₂²	1	1	yes	characteristic
152	Dic₅×Dic₆	C₂²	1	1	yes	characteristic
153	Dic₃×Dic₁₀	C₂²	1	1	yes	characteristic
154	Dic₃×Dic₁₀	C₂²	1	1	yes	characteristic
155	#91329	C₂²	1	1	yes	characteristic
156	#91329	C₂²	1	1	yes	characteristic
157	#91329	C₂²	1	1	yes	characteristic
158	#91329	C₂²	1	1	yes	characteristic
159	#91328	C₂²	1	1	yes	characteristic
160	#91328	C₂²	1	1	yes	characteristic
161	#91328	C₂²	1	1	yes	characteristic
162	#91328	C₂²	1	1	yes	characteristic
163	#91327	C₂²	1	1	yes	characteristic
164	#91327	C₂²	1	1	yes	characteristic
165	#91327	C₂²	1	1	yes	characteristic
166	#91327	C₂²	1	1	yes	characteristic
167	#91325	C₂²	1	1	yes	characteristic
168	#91325	C₂²	1	1	yes	characteristic
169	#91325	C₂²	1	1	yes	characteristic
170	#91325	C₂²	1	1	yes	characteristic
171	#91324	C₂²	1	1	yes	characteristic
172	#91324	C₂²	1	1	yes	characteristic
173	#91324	C₂²	1	1	yes	characteristic
174	#91324	C₂²	1	1	yes	characteristic
175	#91324	C₂²	1	1	yes	characteristic
176	#91324	C₂²	1	1	yes	characteristic
177	#91324	C₂²	1	1	yes	characteristic
178	#91324	C₂²	1	1	yes	characteristic
179	#91324	C₂²	1	1	yes	characteristic
180	#91324	C₂²	1	1	yes	characteristic
181	#91324	C₂²	1	1	yes	characteristic
182	#91324	C₂²	1	1	yes	characteristic
183	#91324	C₂²	1	1	yes	characteristic
184	#91323	C₂²	1	1	yes	characteristic
185	#91323	C₂²	1	1	yes	characteristic
186	#91323	C₂²	1	1	yes	characteristic
187	#91323	C₂²	1	1	yes	characteristic
188	#86923	—	5	1	no	maximal, Hall
189	C₅×#533	—	3	1	no	—
190	#66064	—	3	1	no	—
191	#66061	—	3	1	no	—
192	#66056	—	3	1	no	—
193	#66055	—	3	1	no	—
194	#66024	—	3	1	no	—
195	#66024	—	3	1	no	—
196	#66019	—	3	1	no	—
197	#66019	—	3	1	no	—
198	#65970	—	3	1	no	—
199	#65970	—	3	1	no	—
200	#65970	—	3	1	no	—
201	#65970	D₃	1	1	yes	characteristic, complemented
202	#65969	—	3	1	no	—
203	#65969	—	3	1	no	—
204	#65966	—	3	1	no	—
205	#65966	—	3	1	no	—
206	#65912	—	3	1	no	—
207	#65912	—	3	1	no	—
208	#65912	—	3	1	no	—
209	#65912	—	3	1	no	—
210	#65912	—	3	1	no	—
211	#65912	—	3	1	no	—
212	C₄×Q₈×D₅	—	3	1	no	—
213	C₄×Q₈×D₅	—	3	1	no	—
214	#65856	—	3	1	no	—
215	#65856	—	3	1	no	—
216	#65851	—	3	1	no	—
217	#65851	—	3	1	no	—
218	C₄×#709	—	3	1	no	—
219	C₂×C₄×Dic₁₀	—	3	1	no	—
220	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
222	C₂×#1220	C₂³	1	1	yes	characteristic
223	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₅	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×C₄×D₁₅	C₂³	1	1	yes	characteristic
228	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
229	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
230	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
231	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
232	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
233	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
234	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
236	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
237	C₂²×C₃×Dic₅	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×C₄×D₅	C₂³	1	1	yes	characteristic
241	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
242	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
243	C₂×#1204	—	2	4	no	—
244	C₂×#1204	C₂³	1	1	yes	characteristic
245	C₂×#1204	C₂³	1	1	yes	characteristic
246	C₂×#1204	C₂³	1	1	yes	characteristic
247	C₂×#1204	C₂³	1	1	yes	characteristic
248	C₂×#1204	C₂³	1	1	yes	characteristic
249	C₂×#1204	C₂³	1	1	yes	characteristic
250	C₂×#1204	C₂³	1	1	yes	characteristic
251	C₂×#1204	C₂³	1	1	yes	characteristic
252	C₂×#1204	C₂³	1	1	yes	characteristic
253	C₂×#1202	C₂³	1	1	yes	characteristic
254	C₂×#1200	C₂³	1	1	yes	characteristic
255	C₂×#1200	C₂³	1	1	yes	characteristic
256	C₂×#1200	C₂³	1	1	yes	characteristic
257	C₂×#1200	C₂³	1	1	yes	characteristic
258	#6779	Q₈	1	8	yes	complemented
259	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
260	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
261	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
262	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
263	D₁₅⋊Q₈	—	2	4	no	—
264	D₅×Dic₆	—	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	#6719	C₂³	1	1	yes	characteristic
271	#6714	C₂³	1	1	yes	characteristic
272	#6714	C₂³	1	1	yes	characteristic
273	#6714	C₂³	1	1	yes	characteristic
274	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
275	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
276	#6712	C₂³	1	1	yes	characteristic
277	#6712	C₂³	1	1	yes	characteristic
278	#6712	C₂³	1	1	yes	characteristic
279	#6712	C₂³	1	1	yes	characteristic
280	#6712	C₂³	1	1	yes	characteristic
281	#6712	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	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
288	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
289	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
290	C₅×#217	C₂³	1	1	yes	characteristic
291	C₅×#217	C₂³	1	1	yes	characteristic
292	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
293	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
294	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
295	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₅×Dic₃⋊C₄	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	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
306	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
307	C₄×C₅×Dic₃	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	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
314	C₃×#685	C₂³	1	1	yes	characteristic
315	C₃×#685	C₂³	1	1	yes	characteristic
316	C₃×#685	C₂³	1	1	yes	characteristic
317	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
318	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
319	C₃×#683	C₂³	1	1	yes	characteristic
320	C₃×#683	C₂³	1	1	yes	characteristic
321	C₃×#683	C₂³	1	1	yes	characteristic
322	C₃×#683	C₂³	1	1	yes	characteristic
323	C₃×#683	C₂³	1	1	yes	characteristic
324	C₃×#683	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×C₄×Dic₅	C₂³	1	1	yes	characteristic
331	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
332	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
333	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
334	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
335	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
336	Dic₃⋊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	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	#6669	C₂³	1	1	yes	characteristic
349	#6669	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	#6665	C₂³	1	1	yes	characteristic
361	#6665	C₂³	1	1	yes	characteristic
362	#6665	C₂³	1	1	yes	characteristic
363	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
364	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
365	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
366	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
367	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
368	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
369	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
370	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
371	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
372	Dic₃×Dic₅	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	C₃×#554	—	5	1	no	—
380	#5728	—	5	1	no	—
381	#5722	—	5	1	no	—
382	#5688	—	5	1	no	—
383	#5688	—	5	1	no	—
384	#5685	—	5	1	no	—
385	#5685	—	5	1	no	—
386	#5636	—	5	1	no	—
387	#5636	—	5	1	no	—
388	#5636	—	5	1	no	—
389	#5636	—	5	1	no	—
390	#5632	—	5	1	no	—
391	#5632	—	5	1	no	—
392	#5622	—	5	1	no	—
393	#5622	—	5	1	no	—
394	#5622	—	5	1	no	—
395	#5622	—	5	1	no	—
396	#5622	—	5	1	no	—
397	#5622	D₅	1	1	yes	characteristic, complemented
398	C₄×D₃×Q₈	—	5	1	no	—
399	#5567	—	5	1	no	—
400	#5539	—	5	1	no	—
401	#5539	—	5	1	no	—
402	D₄×Dic₆	—	5	1	no	—
403	C₄×#237	—	5	1	no	—
404	C₄×#237	—	5	1	no	—
405	C₄×#237	—	5	1	no	—
406	#5511	—	5	1	no	—
407	#5511	—	5	1	no	—
408	C₂×#887	—	5	1	no	—
409	C₂×#887	—	5	1	no	—
410	C₂×Q₈×D₅	—	3	1	no	—
411	C₂×Q₈×D₅	—	3	1	no	—
412	C₂×#709	—	3	1	no	—
413	C₂²×Dic₁₀	—	3	1	no	—
414	C₅×C₄⋊Q₈	—	3	1	no	—
415	C₅×C₄⋊Q₈	—	3	1	no	—
416	C₅×#125	—	3	1	no	—
417	C₅×#125	—	3	1	no	—
418	C₅×C₂²⋊Q₈	—	3	1	no	—
419	C₅×C₂²⋊Q₈	—	3	1	no	—
420	C₅×C₂²⋊Q₈	—	3	1	no	—
421	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
422	C₄×C₅×Q₈	—	3	1	no	—
423	C₄×C₅×Q₈	—	3	1	no	—
424	C₄×C₅×Q₈	—	3	1	no	—
425	C₄×C₅×Q₈	—	3	1	no	—
426	C₅×#117	—	3	1	no	—
427	C₅×#117	—	3	1	no	—
428	C₂×C₄²×C₅	—	3	1	no	—
429	#4092	—	3	1	no	—
430	#4092	—	3	1	no	—
431	#4092	—	3	1	no	—
432	#4092	—	3	1	no	—
433	#4092	—	3	1	no	—
434	#4092	C₂×D₃	1	1	yes	characteristic
435	Q₈×Dic₅	—	3	1	no	—
436	Q₈×Dic₅	—	3	1	no	—
437	#4090	—	3	1	no	—
438	#4090	—	3	1	no	—
439	#4090	—	3	1	no	—
440	#4090	—	3	1	no	—
441	#4090	—	3	1	no	—
442	#4090	C₂×D₃	1	1	yes	characteristic
443	C₄×C₂²⋊D₅	—	3	1	no	—
444	C₄×C₂²⋊D₅	—	3	1	no	—
445	C₄×C₂²⋊D₅	—	3	1	no	—
446	C₄×C₂²⋊D₅	C₂×D₃	1	1	yes	characteristic
447	#4072	—	3	1	no	—
448	C₂×C₄⋊Dic₅	—	3	1	no	—
449	C₂×#683	—	3	1	no	—
450	C₂×#683	C₂×D₃	1	1	yes	characteristic
451	C₂×C₄×Dic₅	—	3	1	no	—
452	C₂×C₄×Dic₅	—	3	1	no	—
453	#4043	—	3	1	no	—
454	#4043	—	3	1	no	—
455	#4043	—	3	1	no	—
456	#4043	—	3	1	no	—
457	#4043	—	3	1	no	—
458	#4043	—	3	1	no	—
459	#4042	—	3	1	no	—
460	#4042	—	3	1	no	—
461	#4042	—	3	1	no	—
462	#4042	—	3	1	no	—
463	#4042	—	3	1	no	—
464	#4042	—	3	1	no	—
465	#4042	—	3	1	no	—
466	#4042	—	3	1	no	—
467	#4042	—	3	1	no	—
468	#4042	—	3	1	no	—
469	#4042	C₂×D₃	1	1	yes	characteristic
470	#4042	C₂×D₃	1	1	yes	characteristic
471	#4039	—	3	1	no	—
472	#4039	—	3	1	no	—
473	#4039	—	3	1	no	—
474	#4039	—	3	1	no	—
475	D₅×C₄⋊C₄	—	3	1	no	—
476	D₅×C₄⋊C₄	—	3	1	no	—
477	D₅×C₄⋊C₄	—	3	1	no	—
478	D₅×C₄⋊C₄	—	3	1	no	—
479	D₅×C₄⋊C₄	—	3	1	no	—
480	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
481	#4036	—	3	1	no	—
482	#4036	—	3	1	no	—
483	#4036	—	3	1	no	—
484	#4036	—	3	1	no	—
485	#4035	—	3	1	no	—
486	#4035	—	3	1	no	—
487	#4035	—	3	1	no	—
488	#4035	—	3	1	no	—
489	#4035	—	3	1	no	—
490	#4035	—	3	1	no	—
491	#4035	—	3	1	no	—
492	#4035	—	3	1	no	—
493	#4035	—	3	1	no	—
494	#4035	—	3	1	no	—
495	#4035	C₂×D₃	1	1	yes	characteristic
496	#4035	C₂×D₃	1	1	yes	characteristic
497	#4034	—	3	1	no	—
498	#4034	—	3	1	no	—
499	#4034	—	3	1	no	—
500	#4034	—	3	1	no	—
501	#4034	—	3	1	no	—
502	#4034	—	3	1	no	—
503	#4034	—	3	1	no	—
504	#4034	—	3	1	no	—
505	#4034	—	3	1	no	—
506	#4034	—	3	1	no	—
507	#4033	—	3	1	no	—
508	#4033	—	3	1	no	—
509	#4033	—	3	1	no	—
510	#4033	—	3	1	no	—
511	#4033	—	3	1	no	—
512	#4033	—	3	1	no	—
513	#4033	—	3	1	no	—
514	#4033	—	3	1	no	—
515	#4033	—	3	1	no	—
516	#4033	C₂×D₃	1	1	yes	characteristic
517	#4027	—	3	1	no	—
518	#4027	—	3	1	no	—
519	#4027	—	3	1	no	—
520	#4027	—	3	1	no	—
521	#4027	—	3	1	no	—
522	#4027	—	3	1	no	—
523	#4027	C₂×D₃	1	1	yes	characteristic
524	#4027	C₂×D₃	1	1	yes	characteristic
525	#4024	—	3	1	no	—
526	#4024	—	3	1	no	—
527	#4024	—	3	1	no	—
528	#4024	—	3	1	no	—
529	#4024	—	3	1	no	—
530	#4024	—	3	1	no	—
531	#4024	C₂×D₃	1	1	yes	characteristic
532	#4024	C₂×D₃	1	1	yes	characteristic
533	C₄×D₂₀	—	3	1	no	—
534	C₄×D₂₀	—	3	1	no	—
535	#4018	—	3	1	no	—
536	#4018	—	3	1	no	—
537	#4018	—	3	1	no	—
538	#4018	—	3	1	no	—
539	#4018	—	3	1	no	—
540	#4018	—	3	1	no	—
541	C₄²×D₅	—	3	1	no	—
542	C₄²×D₅	—	3	1	no	—
543	C₄²×D₅	—	3	1	no	—
544	C₄²×D₅	—	3	1	no	—
545	C₄²×D₅	—	3	1	no	—
546	C₄²×D₅	—	3	1	no	—
547	C₄×Dic₁₀	—	3	1	no	—
548	C₄×Dic₁₀	—	3	1	no	—
549	C₄×Dic₁₀	—	3	1	no	—
550	C₄×Dic₁₀	—	3	1	no	—
551	C₄×Dic₁₀	—	3	1	no	—
552	C₄×Dic₁₀	—	3	1	no	—
553	C₄×Dic₁₀	—	3	1	no	—
554	C₄×Dic₁₀	—	3	1	no	—
555	C₄×Dic₁₀	—	3	1	no	—
556	C₄×Dic₁₀	—	3	1	no	—
557	C₄×Dic₁₀	—	3	1	no	—
558	C₄×Dic₁₀	—	3	1	no	—
559	C₄×Dic₁₀	—	3	1	no	—
560	C₄×Dic₁₀	—	3	1	no	—
561	C₄×Dic₁₀	—	3	1	no	—
562	C₄×Dic₁₀	—	3	1	no	—
563	C₄×Dic₁₀	—	3	1	no	—
564	C₄×Dic₁₀	—	3	1	no	—
565	Q₈×#41	—	15	1	no	Sylow
566	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
567	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
569	C₃×C₅×Q₈	—	4	1	no	—
570	C₂×C₃×C₄×C₅	—	4	1	no	—
571	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
573	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
574	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
575	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
576	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
577	#1220	C₂×Q₈	1	4	yes	complemented
578	C₂×Dic₁₅	—	2	2	no	—
579	C₂×Dic₁₅	—	4	1	no	—
580	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
581	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
582	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
583	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
584	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
587	C₄×D₁₅	—	2	2	no	—
588	C₄×D₁₅	—	4	1	no	—
589	C₄×D₁₅	—	4	1	no	—
590	Dic₃₀	—	2	2	no	—
591	Dic₃₀	—	4	1	no	—
592	C₂×C₅×Dic₃	—	2	2	no	—
593	C₂×C₅×Dic₃	C₂×Q₈	1	4	yes	complemented
594	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₅×Dic₆	—	2	2	no	—
603	C₅×Dic₆	—	2	2	no	—
604	C₅×Dic₆	—	4	1	no	—
605	C₃×C₂²⋊D₅	C₂×Q₈	1	4	yes	complemented
606	C₂×C₃×Dic₅	—	2	2	no	—
607	C₂×C₃×Dic₅	—	4	1	no	—
608	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
609	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
610	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
611	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
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	C₃×C₄×D₅	—	2	2	no	—
616	C₃×C₄×D₅	—	4	1	no	—
617	C₃×C₄×D₅	—	4	1	no	—
618	C₃×Dic₁₀	—	2	2	no	—
619	C₃×Dic₁₀	—	4	1	no	—
620	#1204	—	2	2	no	—
621	#1204	—	2	2	no	—
622	#1204	—	2	2	no	—
623	#1204	—	2	2	no	—
624	#1204	—	2	2	no	—
625	#1204	—	4	1	no	—
626	#1204	—	4	1	no	—
627	#1204	C₂×Q₈	1	4	yes	complemented
628	#1204	#41	1	4	yes	complemented
629	#1202	C₂×Q₈	1	4	yes	complemented
630	#1200	—	2	2	no	—
631	#1200	—	2	2	no	—
632	#1200	—	4	1	no	—
633	#1200	C₂×Q₈	1	4	yes	complemented
634	D₅×Dic₃	—	2	2	no	—
635	D₅×Dic₃	—	2	2	no	—
636	D₅×Dic₃	—	4	1	no	—
637	D₅×Dic₃	C₂×Q₈	1	4	yes	complemented
638	C₂×D₃×Q₈	—	5	1	no	—
639	C₂×#237	—	5	1	no	—
640	C₂²×Dic₆	—	5	1	no	—
641	C₂²×Dic₆	—	5	1	no	—
642	C₃×C₄⋊Q₈	—	5	1	no	—
643	C₃×#125	—	5	1	no	—
644	C₃×#125	—	5	1	no	—
645	C₃×C₂²⋊Q₈	—	5	1	no	—
646	C₃×C₂²⋊Q₈	—	5	1	no	—
647	C₃×C₂²⋊Q₈	—	5	1	no	—
648	C₃×C₂²⋊Q₈	—	5	1	no	—
649	C₃×C₂²⋊Q₈	—	5	1	no	—
650	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
651	C₃×C₄×Q₈	—	5	1	no	—
652	C₃×C₄×D₄	—	5	1	no	—
653	C₃×C₄×D₄	—	5	1	no	—
654	C₃×C₄×D₄	—	5	1	no	—
655	C₂×C₃×C₄⋊C₄	—	5	1	no	—
656	C₂×C₃×C₄⋊C₄	—	5	1	no	—
657	#946	—	5	1	no	—
658	#946	—	5	1	no	—
659	Q₈×Dic₃	—	5	1	no	—
660	Q₈×Dic₃	—	5	1	no	—
661	Q₈×Dic₃	C₂×D₅	1	1	yes	characteristic
662	#944	—	5	1	no	—
663	#944	—	5	1	no	—
664	#944	—	5	1	no	—
665	#944	—	5	1	no	—
666	#944	—	5	1	no	—
667	#944	C₂×D₅	1	1	yes	characteristic
668	D₄×Dic₃	—	5	1	no	—
669	D₄×Dic₃	—	5	1	no	—
670	D₄×Dic₃	—	5	1	no	—
671	C₄×#67	—	5	1	no	—
672	C₄×#67	—	5	1	no	—
673	C₄×#67	—	5	1	no	—
674	C₄×#67	—	5	1	no	—
675	C₄×#67	—	5	1	no	—
676	C₄×#67	—	5	1	no	—
677	#924	—	5	1	no	—
678	#924	—	5	1	no	—
679	#924	—	5	1	no	—
680	#924	—	5	1	no	—
681	#924	—	5	1	no	—
682	#924	C₂×D₅	1	1	yes	characteristic
683	C₂×Dic₃⋊C₄	—	5	1	no	—
684	C₂×Dic₃⋊C₄	—	5	1	no	—
685	C₂×Dic₃⋊C₄	—	5	1	no	—
686	C₂×Dic₃⋊C₄	—	5	1	no	—
687	C₂×C₄×Dic₃	—	5	1	no	—
688	C₂×C₄×Dic₃	—	5	1	no	—
689	C₂×C₄×Dic₃	—	5	1	no	—
690	C₂×C₄×Dic₃	—	5	1	no	—
691	C₂×C₄×Dic₃	—	5	1	no	—
692	C₂×C₄×Dic₃	C₂×D₅	1	1	yes	characteristic
693	#897	—	5	1	no	—
694	#897	—	5	1	no	—
695	#896	—	5	1	no	—
696	#896	—	5	1	no	—
697	#896	—	5	1	no	—
698	#896	—	5	1	no	—
699	#896	—	5	1	no	—
700	#896	—	5	1	no	—
701	#896	—	5	1	no	—
702	#896	—	5	1	no	—
703	#892	—	5	1	no	—
704	#892	—	5	1	no	—
705	#892	—	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	#890	—	5	1	no	—
710	#890	—	5	1	no	—
711	#889	—	5	1	no	—
712	#889	—	5	1	no	—
713	#889	—	5	1	no	—
714	#889	—	5	1	no	—
715	#889	—	5	1	no	—
716	#889	—	5	1	no	—
717	#889	—	5	1	no	—
718	#889	—	5	1	no	—
719	#889	—	5	1	no	—
720	#889	—	5	1	no	—
721	#889	C₂×D₅	1	1	yes	characteristic
722	#889	C₂×D₅	1	1	yes	characteristic
723	#888	—	5	1	no	—
724	#888	—	5	1	no	—
725	#888	—	5	1	no	—
726	#888	—	5	1	no	—
727	#888	—	5	1	no	—
728	#888	—	5	1	no	—
729	#888	—	5	1	no	—
730	#888	—	5	1	no	—
731	#888	—	5	1	no	—
732	#888	C₂×D₅	1	1	yes	characteristic
733	#887	—	5	1	no	—
734	#887	—	5	1	no	—
735	#887	—	5	1	no	—
736	#887	—	5	1	no	—
737	#887	—	5	1	no	—
738	#887	—	5	1	no	—
739	#887	—	5	1	no	—
740	#887	—	5	1	no	—
741	#887	—	5	1	no	—
742	#887	—	5	1	no	—
743	#887	—	5	1	no	—
744	#887	—	5	1	no	—
745	#887	—	5	1	no	—
746	#887	—	5	1	no	—
747	#887	—	5	1	no	—
748	#887	—	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	—	5	1	no	—
754	#887	C₂×D₅	1	1	yes	characteristic
755	#887	C₂×D₅	1	1	yes	characteristic
756	#887	C₂×D₅	1	1	yes	characteristic
757	#67⋊C₄	—	5	1	no	—
758	#67⋊C₄	—	5	1	no	—
759	#67⋊C₄	—	5	1	no	—
760	#67⋊C₄	—	5	1	no	—
761	#67⋊C₄	—	5	1	no	—
762	#67⋊C₄	—	5	1	no	—
763	#878	—	5	1	no	—
764	#878	—	5	1	no	—
765	#878	—	5	1	no	—
766	#878	—	5	1	no	—
767	#878	—	5	1	no	—
768	#878	—	5	1	no	—
769	#878	—	5	1	no	—
770	#878	—	5	1	no	—
771	#878	—	5	1	no	—
772	#878	—	5	1	no	—
773	#878	C₂×D₅	1	1	yes	characteristic
774	#878	C₂×D₅	1	1	yes	characteristic
775	#877	—	5	1	no	—
776	#877	—	5	1	no	—
777	#877	—	5	1	no	—
778	#877	—	5	1	no	—
779	#877	C₂×D₅	1	1	yes	characteristic
780	#877	C₂×D₅	1	1	yes	characteristic
781	C₄²×D₃	—	5	1	no	—
782	C₄²×D₃	—	5	1	no	—
783	C₄²×D₃	—	5	1	no	—
784	#870	—	5	1	no	—
785	#870	—	5	1	no	—
786	#869	—	5	1	no	—
787	C₄×Dic₆	—	5	1	no	—
788	C₄×Dic₆	—	5	1	no	—
789	C₄×Dic₆	—	5	1	no	—
790	C₄×Dic₆	—	5	1	no	—
791	C₄×Dic₆	—	5	1	no	—
792	C₄×Dic₆	—	5	1	no	—
793	C₂×C₅×Q₈	—	3	1	no	—
794	C₂×C₅×Q₈	—	3	1	no	—
795	C₂×C₅×Q₈	—	3	1	no	—
796	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
797	C₂²×C₄×C₅	—	3	1	no	—
798	C₂²×C₄×C₅	—	3	1	no	—
799	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
800	C₂×C₂²⋊D₅	—	3	1	no	—
801	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
802	C₂²×Dic₅	—	3	1	no	—
803	C₂²×Dic₅	—	3	1	no	—
804	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
805	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
806	Q₈×D₅	—	6	4	no	—
807	Q₈×D₅	—	6	4	no	—
808	#709	—	3	8	no	—
809	C₂×D₂₀	—	3	1	no	—
810	C₂×C₄×D₅	—	3	1	no	—
811	C₂×C₄×D₅	—	3	1	no	—
812	C₂×C₄×D₅	—	3	1	no	—
813	C₂×C₄×D₅	—	3	1	no	—
814	C₂×C₄×D₅	—	3	1	no	—
815	C₂×C₄×D₅	—	3	1	no	—
816	C₂×C₄×D₅	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
822	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
823	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
824	C₂×Dic₁₀	—	3	1	no	—
825	C₂×Dic₁₀	—	3	1	no	—
826	C₂×Dic₁₀	—	3	1	no	—
827	C₂×Dic₁₀	—	3	1	no	—
828	C₂×Dic₁₀	—	3	1	no	—
829	C₂×Dic₁₀	—	3	1	no	—
830	C₂×Dic₁₀	—	3	1	no	—
831	C₂×Dic₁₀	—	3	1	no	—
832	C₂×Dic₁₀	—	3	1	no	—
833	C₂×Dic₁₀	—	3	1	no	—
834	C₂×Dic₁₀	—	3	1	no	—
835	C₂×Dic₁₀	—	6	4	no	—
836	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
837	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
838	C₅×C₄⋊C₄	—	3	1	no	—
839	C₅×C₄⋊C₄	—	3	1	no	—
840	C₅×C₄⋊C₄	—	3	1	no	—
841	C₅×C₄⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
852	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
853	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
854	C₅×C₂²⋊C₄	—	3	1	no	—
855	C₅×C₂²⋊C₄	—	3	1	no	—
856	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
857	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
858	C₄²×C₅	—	3	1	no	—
859	C₄²×C₅	—	3	1	no	—
860	C₄²×C₅	—	3	1	no	—
861	C₄²×C₅	—	3	1	no	—
862	C₄²×C₅	—	3	1	no	—
863	C₄²×C₅	—	3	1	no	—
864	C₄²×C₅	—	3	1	no	—
865	C₄²×C₅	—	3	1	no	—
866	C₂²⋊Dic₅	—	3	1	no	—
867	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
868	#685	—	3	1	no	—
869	#685	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
878	#685	C₂²×D₃	1	1	yes	characteristic
879	#685	C₂²×D₃	1	1	yes	characteristic
880	C₄⋊Dic₅	—	3	1	no	—
881	C₄⋊Dic₅	—	3	1	no	—
882	C₄⋊Dic₅	—	3	1	no	—
883	C₄⋊Dic₅	—	3	1	no	—
884	C₄⋊Dic₅	—	3	1	no	—
885	C₄⋊Dic₅	—	3	1	no	—
886	C₄⋊Dic₅	—	3	1	no	—
887	C₄⋊Dic₅	—	3	1	no	—
888	C₄⋊Dic₅	—	3	1	no	—
889	C₄⋊Dic₅	—	3	1	no	—
890	C₄⋊Dic₅	—	3	1	no	—
891	C₄⋊Dic₅	—	3	1	no	—
892	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
893	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
894	#683	—	3	1	no	—
895	#683	—	3	1	no	—
896	#683	—	3	1	no	—
897	#683	—	3	1	no	—
898	#683	—	3	1	no	—
899	#683	—	3	1	no	—
900	#683	—	3	1	no	—
901	#683	—	3	1	no	—
902	#683	—	3	1	no	—
903	#683	—	3	1	no	—
904	#683	—	3	1	no	—
905	#683	—	3	1	no	—
906	#683	—	3	1	no	—
907	#683	—	3	1	no	—
908	#683	—	3	1	no	—
909	#683	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
920	#683	C₂²×D₃	1	1	yes	characteristic
921	#683	C₂²×D₃	1	1	yes	characteristic
922	#683	C₂²×D₃	1	1	yes	characteristic
923	#683	C₂²×D₃	1	1	yes	characteristic
924	#683	C₂²×D₃	1	1	yes	characteristic
925	#683	C₂²×D₃	1	1	yes	characteristic
926	#683	C₂²×D₃	1	1	yes	characteristic
927	#683	C₂²×D₃	1	1	yes	characteristic
928	#683	C₂²×D₃	1	1	yes	characteristic
929	#683	C₂²×D₃	1	1	yes	characteristic
930	C₄×Dic₅	—	3	1	no	—
931	C₄×Dic₅	—	3	1	no	—
932	C₄×Dic₅	—	3	1	no	—
933	C₄×Dic₅	—	3	1	no	—
934	C₄×Dic₅	—	3	1	no	—
935	C₄×Dic₅	—	3	1	no	—
936	C₄×Dic₅	—	3	1	no	—
937	C₄×Dic₅	—	3	1	no	—
938	C₄×Dic₅	—	3	1	no	—
939	C₄×Dic₅	—	3	1	no	—
940	C₄×Dic₅	—	3	1	no	—
941	C₄×Dic₅	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
950	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
951	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
952	Q₈²	—	15	1	no	—
953	#557	—	15	1	no	—
954	#557	—	15	1	no	—
955	#557	—	15	1	no	—
956	#554	—	5	1	no	—
957	#554	—	15	1	no	—
958	#554	—	15	1	no	—
959	#554	—	15	1	no	—
960	#554	—	15	1	no	—
961	#554	—	15	1	no	—
962	#554	—	15	1	no	—
963	#554	—	15	1	no	—
964	#554	—	15	1	no	—
965	D₄×Q₈	—	15	1	no	—
966	D₄×Q₈	—	15	1	no	—
967	D₄×Q₈	—	15	1	no	—
968	#533	—	3	1	no	—
969	#533	—	15	1	no	—
970	#533	—	15	1	no	—
971	#533	—	15	1	no	—
972	#533	—	15	1	no	—
973	#533	—	15	1	no	—
974	#533	—	15	1	no	—
975	#533	—	15	1	no	—
976	#533	—	15	1	no	—
977	C₄×#41	—	15	1	no	—
978	C₄×#41	—	15	1	no	—
979	C₄×#41	—	15	1	no	—
980	C₂×C₄×Q₈	—	15	1	no	—
981	C₂×C₄×Q₈	—	15	1	no	—
982	C₂×C₄×Q₈	—	15	1	no	—
983	C₂²×C₃×C₅	—	2	1	no	—
984	C₂²×C₃×C₅	—	2	1	no	—
985	C₂²×C₃×C₅	C₂²×Q₈	1	2	yes	—
986	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
987	C₂×D₁₅	—	2	1	no	—
988	C₂×D₁₅	—	2	1	no	—
989	C₂×D₁₅	C₂²×Q₈	1	2	yes	—
990	C₂×C₃×D₅	—	2	1	no	—
991	C₂×C₃×D₅	—	2	1	no	—
992	C₂×C₃×D₅	C₂²×Q₈	1	2	yes	—
993	C₃×C₄×C₅	—	2	1	no	—
994	C₃×C₄×C₅	—	2	1	no	—
995	C₃×C₄×C₅	—	2	1	no	—
996	C₃×C₄×C₅	—	2	1	no	—
997	C₃×C₄×C₅	—	2	1	no	—
998	C₃×C₄×C₅	—	2	1	no	—
999	Dic₁₅	—	2	1	no	—
1000	Dic₁₅	—	2	1	no	—
1001	Dic₁₅	—	2	1	no	—
1002	Dic₁₅	—	2	1	no	—
1003	Dic₁₅	—	2	1	no	—
1004	Dic₁₅	C₂²×Q₈	1	2	yes	—
1005	Dic₁₅	C₂×#41	1	2	yes	—
1006	C₃×Dic₅	—	2	1	no	—
1007	C₃×Dic₅	—	2	1	no	—
1008	C₃×Dic₅	—	2	1	no	—
1009	C₃×Dic₅	—	2	1	no	—
1010	C₃×Dic₅	—	2	1	no	—
1011	C₃×Dic₅	C₂²×Q₈	1	2	yes	—
1012	C₃×Dic₅	C₂×#41	1	2	yes	—
1013	C₅×Dic₃	—	2	1	no	—
1014	C₅×Dic₃	—	2	1	no	—
1015	C₅×Dic₃	—	2	1	no	—
1016	C₅×Dic₃	—	2	1	no	—
1017	C₅×Dic₃	—	2	1	no	—
1018	C₅×Dic₃	C₂²×Q₈	1	2	yes	—
1019	C₅×Dic₃	C₂²×Q₈	1	2	yes	—
1020	C₅×Dic₃	C₂×#41	1	2	yes	—
1021	C₂×C₃×Q₈	—	5	1	no	—
1022	C₂×C₃×Q₈	—	5	1	no	—
1023	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
1024	C₂×C₃×D₄	—	5	1	no	—
1025	C₂²×C₃×C₄	—	5	1	no	—
1026	C₂²×C₃×C₄	—	5	1	no	—
1027	C₂²×C₃×C₄	—	5	1	no	—
1028	C₂²×C₃×C₄	—	5	1	no	—
1029	C₂²×C₃×C₄	—	5	1	no	—
1030	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1031	C₂×#67	—	5	1	no	—
1032	C₂×#67	—	5	1	no	—
1033	C₂²×Dic₃	—	5	1	no	—
1034	C₂²×Dic₃	—	5	1	no	—
1035	C₂²×Dic₃	—	5	1	no	—
1036	C₂²×Dic₃	—	5	1	no	—
1037	C₂²×Dic₃	—	5	1	no	—
1038	C₂²×Dic₃	—	5	1	no	—
1039	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1040	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1041	D₃×Q₈	—	10	4	no	—
1042	#237	—	5	8	no	—
1043	C₂×C₄×D₃	—	5	1	no	—
1044	C₂×C₄×D₃	—	5	1	no	—
1045	C₂×C₄×D₃	—	5	1	no	—
1046	C₂×C₄×D₃	—	5	1	no	—
1047	C₂×C₄×D₃	—	5	1	no	—
1048	C₂×C₄×D₃	—	5	1	no	—
1049	C₂×C₄×D₃	—	5	1	no	—
1050	C₂×Dic₆	—	5	1	no	—
1051	C₂×Dic₆	—	5	1	no	—
1052	C₂×Dic₆	—	5	1	no	—
1053	C₂×Dic₆	—	5	1	no	—
1054	C₂×Dic₆	—	5	1	no	—
1055	C₂×Dic₆	—	5	1	no	—
1056	C₂×Dic₆	—	5	1	no	—
1057	C₂×Dic₆	—	5	1	no	—
1058	C₂×Dic₆	—	5	1	no	—
1059	C₂×Dic₆	—	5	1	no	—
1060	C₂×Dic₆	—	5	1	no	—
1061	C₂×Dic₆	—	10	4	no	—
1062	C₂×Dic₆	—	10	4	no	—
1063	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1064	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1065	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1066	C₃×C₄⋊C₄	—	5	1	no	—
1067	C₃×C₄⋊C₄	—	5	1	no	—
1068	C₃×C₄⋊C₄	—	5	1	no	—
1069	C₃×C₄⋊C₄	—	5	1	no	—
1070	C₃×C₄⋊C₄	—	5	1	no	—
1071	C₃×C₄⋊C₄	—	5	1	no	—
1072	C₃×C₄⋊C₄	—	5	1	no	—
1073	C₃×C₄⋊C₄	—	5	1	no	—
1074	C₃×C₄⋊C₄	—	5	1	no	—
1075	C₃×C₄⋊C₄	—	5	1	no	—
1076	C₃×C₄⋊C₄	—	5	1	no	—
1077	C₃×C₄⋊C₄	—	5	1	no	—
1078	C₃×C₄⋊C₄	—	5	1	no	—
1079	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1080	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1081	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1082	C₃×C₂²⋊C₄	—	5	1	no	—
1083	C₃×C₂²⋊C₄	—	5	1	no	—
1084	C₃×C₂²⋊C₄	—	5	1	no	—
1085	C₃×C₂²⋊C₄	—	5	1	no	—
1086	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1087	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1088	C₃×C₄²	—	5	1	no	—
1089	C₃×C₄²	—	5	1	no	—
1090	C₃×C₄²	—	5	1	no	—
1091	#217	—	5	1	no	—
1092	#217	—	5	1	no	—
1093	#217	—	5	1	no	—
1094	#217	—	5	1	no	—
1095	#217	C₂²×D₅	1	1	yes	characteristic
1096	#217	C₂²×D₅	1	1	yes	characteristic
1097	(C₂×D₃)⋊C₄	—	5	1	no	—
1098	(C₂×D₃)⋊C₄	—	5	1	no	—
1099	(C₂×D₃)⋊C₄	—	5	1	no	—
1100	(C₂×D₃)⋊C₄	—	5	1	no	—
1101	(C₂×D₃)⋊C₄	—	5	1	no	—
1102	(C₂×D₃)⋊C₄	—	5	1	no	—
1103	C₄⋊Dic₃	—	5	1	no	—
1104	C₄⋊Dic₃	—	5	1	no	—
1105	C₄⋊Dic₃	—	5	1	no	—
1106	C₄⋊Dic₃	—	5	1	no	—
1107	C₄⋊Dic₃	—	5	1	no	—
1108	C₄⋊Dic₃	—	5	1	no	—
1109	C₄⋊Dic₃	—	5	1	no	—
1110	C₄⋊Dic₃	—	5	1	no	—
1111	C₄⋊Dic₃	—	5	1	no	—
1112	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1113	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1114	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1115	Dic₃⋊C₄	—	5	1	no	—
1116	Dic₃⋊C₄	—	5	1	no	—
1117	Dic₃⋊C₄	—	5	1	no	—
1118	Dic₃⋊C₄	—	5	1	no	—
1119	Dic₃⋊C₄	—	5	1	no	—
1120	Dic₃⋊C₄	—	5	1	no	—
1121	Dic₃⋊C₄	—	5	1	no	—
1122	Dic₃⋊C₄	—	5	1	no	—
1123	Dic₃⋊C₄	—	5	1	no	—
1124	Dic₃⋊C₄	—	5	1	no	—
1125	Dic₃⋊C₄	—	5	1	no	—
1126	Dic₃⋊C₄	—	5	1	no	—
1127	Dic₃⋊C₄	—	5	1	no	—
1128	Dic₃⋊C₄	—	5	1	no	—
1129	Dic₃⋊C₄	—	5	1	no	—
1130	Dic₃⋊C₄	—	5	1	no	—
1131	Dic₃⋊C₄	—	5	1	no	—
1132	Dic₃⋊C₄	—	5	1	no	—
1133	Dic₃⋊C₄	—	5	1	no	—
1134	Dic₃⋊C₄	—	5	1	no	—
1135	Dic₃⋊C₄	—	5	1	no	—
1136	Dic₃⋊C₄	—	5	1	no	—
1137	Dic₃⋊C₄	—	5	1	no	—
1138	Dic₃⋊C₄	—	5	1	no	—
1139	Dic₃⋊C₄	—	5	1	no	—
1140	Dic₃⋊C₄	—	5	1	no	—
1141	Dic₃⋊C₄	—	5	1	no	—
1142	Dic₃⋊C₄	—	5	1	no	—
1143	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1144	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1145	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1146	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1147	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1148	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1149	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1150	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1151	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1152	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1153	C₄×Dic₃	—	5	1	no	—
1154	C₄×Dic₃	—	5	1	no	—
1155	C₄×Dic₃	—	5	1	no	—
1156	C₄×Dic₃	—	5	1	no	—
1157	C₄×Dic₃	—	5	1	no	—
1158	C₄×Dic₃	—	5	1	no	—
1159	C₄×Dic₃	—	5	1	no	—
1160	C₄×Dic₃	—	5	1	no	—
1161	C₄×Dic₃	—	5	1	no	—
1162	C₄×Dic₃	—	5	1	no	—
1163	C₄×Dic₃	—	5	1	no	—
1164	C₄×Dic₃	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1173	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1174	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1175	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1176	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1177	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1178	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1179	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1180	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1181	C₂²×D₅	—	3	1	no	—
1182	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1183	C₅×Q₈	—	4	1	no	—
1184	C₅×Q₈	—	6	2	no	—
1185	C₅×Q₈	—	6	2	no	—
1186	C₅×Q₈	—	12	1	no	—
1187	C₂×C₄×C₅	—	3	4	no	—
1188	C₂×C₄×C₅	—	3	1	no	—
1189	C₂×C₄×C₅	—	3	1	no	—
1190	C₂×C₄×C₅	—	3	1	no	—
1191	C₂×C₄×C₅	—	3	1	no	—
1192	C₂×C₄×C₅	—	3	1	no	—
1193	C₂×C₄×C₅	—	3	1	no	—
1194	C₂×C₄×C₅	—	3	1	no	—
1195	C₂×C₄×C₅	—	3	1	no	—
1196	C₂×C₄×C₅	—	4	1	no	—
1197	C₂×C₄×C₅	—	6	2	no	—
1198	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1199	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1200	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1201	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1202	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1203	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1204	C₂²⋊D₅	—	3	4	no	—
1205	C₂²⋊D₅	D₃×Q₈	1	4	yes	complemented
1206	C₂×Dic₅	—	2	2	no	—
1207	C₂×Dic₅	—	3	1	no	—
1208	C₂×Dic₅	—	3	1	no	—
1209	C₂×Dic₅	—	3	1	no	—
1210	C₂×Dic₅	—	3	1	no	—
1211	C₂×Dic₅	—	3	1	no	—
1212	C₂×Dic₅	—	3	1	no	—
1213	C₂×Dic₅	—	3	1	no	—
1214	C₂×Dic₅	—	4	1	no	—
1215	C₂×Dic₅	—	6	2	no	—
1216	C₂×Dic₅	—	12	1	no	—
1217	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1218	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1219	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1220	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1221	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1222	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1223	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1224	D₂₀	—	3	4	no	—
1225	C₄×D₅	—	2	2	no	—
1226	C₄×D₅	—	3	4	no	—
1227	C₄×D₅	—	3	4	no	—
1228	C₄×D₅	—	4	1	no	—
1229	C₄×D₅	—	4	1	no	—
1230	C₄×D₅	—	6	2	no	—
1231	C₄×D₅	—	6	2	no	—
1232	C₄×D₅	—	6	2	no	—
1233	C₄×D₅	—	6	2	no	—
1234	C₄×D₅	—	6	2	no	—
1235	C₄×D₅	—	12	1	no	—
1236	C₄×D₅	—	12	1	no	—
1237	C₄×D₅	—	12	1	no	—
1238	C₄×D₅	—	12	1	no	—
1239	Dic₁₀	—	2	2	no	—
1240	Dic₁₀	—	3	4	no	—
1241	Dic₁₀	—	3	4	no	—
1242	Dic₁₀	—	4	1	no	—
1243	Dic₁₀	—	6	2	no	—
1244	Dic₁₀	—	6	2	no	—
1245	Dic₁₀	—	6	2	no	—
1246	Dic₁₀	—	6	2	no	—
1247	Dic₁₀	—	6	2	no	—
1248	Dic₁₀	—	6	2	no	—
1249	Dic₁₀	—	12	1	no	—
1250	Dic₁₀	—	12	1	no	—
1251	Dic₁₀	—	12	1	no	—
1252	C₂×#41	—	15	1	no	—
1253	C₂²×Q₈	—	15	1	no	—
1254	C₂²×Q₈	—	15	1	no	—
1255	C₂²×Q₈	—	15	1	no	—
1256	C₄⋊Q₈	—	3	1	no	—
1257	C₄⋊Q₈	—	3	1	no	—
1258	C₄⋊Q₈	—	5	1	no	—
1259	C₄⋊Q₈	—	15	1	no	—
1260	C₄⋊Q₈	—	15	1	no	—
1261	C₄⋊Q₈	—	15	1	no	—
1262	C₄⋊Q₈	—	15	1	no	—
1263	C₄⋊Q₈	—	15	1	no	—
1264	C₄⋊Q₈	—	15	1	no	—
1265	C₄⋊Q₈	—	15	1	no	—
1266	C₄⋊Q₈	—	15	1	no	—
1267	C₄⋊Q₈	—	15	1	no	—
1268	C₄⋊Q₈	—	15	1	no	—
1269	C₄⋊Q₈	—	15	1	no	—
1270	C₄⋊Q₈	—	15	1	no	—
1271	C₄⋊Q₈	—	15	1	no	—
1272	C₄⋊Q₈	—	15	1	no	—
1273	C₄⋊Q₈	—	15	1	no	—
1274	#125	—	3	1	no	—
1275	#125	—	3	1	no	—
1276	#125	—	5	1	no	—
1277	#125	—	5	1	no	—
1278	#125	—	15	1	no	—
1279	#125	—	15	1	no	—
1280	#125	—	15	1	no	—
1281	#125	—	15	1	no	—
1282	#125	—	15	1	no	—
1283	#125	—	15	1	no	—
1284	#125	—	15	1	no	—
1285	#125	—	15	1	no	—
1286	#125	—	15	1	no	—
1287	#125	—	15	1	no	—
1288	#125	—	15	1	no	—
1289	#125	—	15	1	no	—
1290	#125	—	15	1	no	—
1291	#125	—	15	1	no	—
1292	C₂²⋊Q₈	—	3	1	no	—
1293	C₂²⋊Q₈	—	3	1	no	—
1294	C₂²⋊Q₈	—	3	1	no	—
1295	C₂²⋊Q₈	—	5	1	no	—
1296	C₂²⋊Q₈	—	5	1	no	—
1297	C₂²⋊Q₈	—	5	1	no	—
1298	C₂²⋊Q₈	—	5	1	no	—
1299	C₂²⋊Q₈	—	5	1	no	—
1300	C₂²⋊Q₈	—	15	1	no	—
1301	C₂²⋊Q₈	—	15	1	no	—
1302	C₂²⋊Q₈	—	15	1	no	—
1303	C₂²⋊Q₈	—	15	1	no	—
1304	C₂²⋊Q₈	—	15	1	no	—
1305	C₂²⋊Q₈	—	15	1	no	—
1306	C₂²⋊Q₈	—	15	1	no	—
1307	C₂²⋊Q₈	—	15	1	no	—
1308	C₂²⋊Q₈	—	15	1	no	—
1309	C₂²⋊Q₈	—	15	1	no	—
1310	C₂²⋊Q₈	—	15	1	no	—
1311	C₂²⋊Q₈	—	15	1	no	—
1312	C₂²⋊Q₈	—	15	1	no	—
1313	C₂²⋊Q₈	—	15	1	no	—
1314	C₂²⋊Q₈	—	15	1	no	—
1315	C₂²⋊Q₈	—	15	1	no	—
1316	C₂²⋊Q₈	—	15	1	no	—
1317	C₂²⋊Q₈	—	15	1	no	—
1318	C₂²⋊Q₈	—	15	1	no	—
1319	C₂²⋊Q₈	—	15	1	no	—
1320	C₂²⋊Q₈	—	15	1	no	—
1321	C₂²⋊Q₈	—	15	1	no	—
1322	C₂²⋊Q₈	—	15	1	no	—
1323	C₂²⋊Q₈	—	15	1	no	—
1324	C₂²⋊Q₈	—	15	1	no	—
1325	C₂²⋊Q₈	—	15	1	no	—
1326	C₂²⋊Q₈	—	15	1	no	—
1327	C₂²⋊Q₈	D₃×D₅	1	1	yes	characteristic
1328	C₄×Q₈	—	3	1	no	—
1329	C₄×Q₈	—	3	1	no	—
1330	C₄×Q₈	—	3	1	no	—
1331	C₄×Q₈	—	3	1	no	—
1332	C₄×Q₈	—	5	1	no	—
1333	C₄×Q₈	—	15	1	no	—
1334	C₄×Q₈	—	15	1	no	—
1335	C₄×Q₈	—	15	1	no	—
1336	C₄×Q₈	—	15	1	no	—
1337	C₄×Q₈	—	15	1	no	—
1338	C₄×Q₈	—	15	1	no	—
1339	C₄×Q₈	—	15	1	no	—
1340	C₄×Q₈	—	15	1	no	—
1341	C₄×Q₈	—	15	1	no	—
1342	C₄×Q₈	—	15	1	no	—
1343	C₄×Q₈	—	15	1	no	—
1344	C₄×Q₈	—	15	1	no	—
1345	C₄×Q₈	—	15	1	no	—
1346	C₄×Q₈	—	15	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×Q₈	—	15	1	no	—
1355	C₄×Q₈	—	15	1	no	—
1356	C₄×Q₈	—	15	1	no	—
1357	C₄×Q₈	—	15	1	no	—
1358	C₄×Q₈	—	15	1	no	—
1359	C₄×Q₈	—	15	1	no	—
1360	C₄×Q₈	—	15	1	no	—
1361	C₄×Q₈	—	15	1	no	—
1362	C₄×D₄	—	5	1	no	—
1363	C₄×D₄	—	5	1	no	—
1364	C₄×D₄	—	5	1	no	—
1365	C₄×D₄	—	15	1	no	—
1366	C₄×D₄	—	15	1	no	—
1367	C₄×D₄	—	15	1	no	—
1368	C₄×D₄	—	15	1	no	—
1369	C₄×D₄	—	15	1	no	—
1370	C₄×D₄	—	15	1	no	—
1371	C₄×D₄	—	15	1	no	—
1372	C₄×D₄	—	15	1	no	—
1373	C₄×D₄	—	15	1	no	—
1374	C₄×D₄	—	15	1	no	—
1375	C₄×D₄	—	15	1	no	—
1376	C₄×D₄	—	15	1	no	—
1377	C₄×D₄	—	15	1	no	—
1378	C₄×D₄	—	15	1	no	—
1379	C₄×D₄	—	15	1	no	—
1380	#117	—	3	1	no	—
1381	#117	—	3	1	no	—
1382	#117	—	15	1	no	—
1383	#117	—	15	1	no	—
1384	#117	—	15	1	no	—
1385	#117	—	15	1	no	—
1386	#117	—	15	1	no	—
1387	#117	—	15	1	no	—
1388	#117	—	15	1	no	—
1389	C₂×C₄⋊C₄	—	5	1	no	—
1390	C₂×C₄⋊C₄	—	5	1	no	—
1391	C₂×C₄⋊C₄	—	15	1	no	—
1392	C₂×C₄⋊C₄	—	15	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×C₄²	—	3	1	no	—
1399	C₂×C₄²	—	15	1	no	—
1400	C₂×C₄²	—	15	1	no	—
1401	C₂×C₄²	—	15	1	no	—
1402	C₂×C₄²	—	15	1	no	—
1403	C₂×C₄²	—	15	1	no	—
1404	C₂×C₄²	—	15	1	no	—
1405	C₂×C₄²	—	15	1	no	—
1406	C₂×C₄²	—	15	1	no	—
1407	C₂×C₃×C₅	—	2	2	no	—
1408	C₂×C₃×C₅	C₂³×Q₈	1	1	yes	characteristic
1409	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1410	C₂×C₃×C₅	#585	1	1	yes	characteristic
1411	D₁₅	—	2	2	no	—
1412	C₃×D₅	—	2	2	no	—
1413	C₂³×C₃	—	5	1	no	—
1414	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1415	C₂²×D₃	—	5	1	no	—
1416	C₃×Q₈	—	4	1	no	—
1417	C₃×Q₈	—	10	2	no	—
1418	C₃×Q₈	—	20	1	no	—
1419	C₃×D₄	—	5	4	no	—
1420	C₂×C₃×C₄	—	4	1	no	—
1421	C₂×C₃×C₄	—	5	1	no	—
1422	C₂×C₃×C₄	—	5	1	no	—
1423	C₂×C₃×C₄	—	5	1	no	—
1424	C₂×C₃×C₄	—	5	1	no	—
1425	C₂×C₃×C₄	—	5	1	no	—
1426	C₂×C₃×C₄	—	5	1	no	—
1427	C₂×C₃×C₄	—	5	1	no	—
1428	C₂×C₃×C₄	—	10	2	no	—
1429	C₂×C₃×C₄	—	10	2	no	—
1430	C₂×C₃×C₄	—	20	1	no	—
1431	C₂×C₃×C₄	—	20	1	no	—
1432	C₂×C₃×C₄	—	20	1	no	—
1433	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1434	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1435	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1436	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1437	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1438	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1439	#67	—	5	4	no	—
1440	#67	—	5	4	no	—
1441	C₂×Dic₃	—	2	2	no	—
1442	C₂×Dic₃	—	5	1	no	—
1443	C₂×Dic₃	—	5	1	no	—
1444	C₂×Dic₃	—	5	4	no	—
1445	C₂×Dic₃	—	5	1	no	—
1446	C₂×Dic₃	—	5	1	no	—
1447	C₂×Dic₃	—	5	1	no	—
1448	C₂×Dic₃	—	5	1	no	—
1449	C₂×Dic₃	—	5	1	no	—
1450	C₂×Dic₃	—	10	2	no	—
1451	C₂×Dic₃	—	10	2	no	—
1452	C₂×Dic₃	—	10	2	no	—
1453	C₂×Dic₃	—	20	1	no	—
1454	C₂×Dic₃	—	20	1	no	—
1455	C₂×Dic₃	Q₈×D₅	1	4	yes	complemented
1456	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1457	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1458	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1459	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1460	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1461	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1462	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1463	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1464	C₄×D₃	—	5	4	no	—
1465	C₄×D₃	—	10	2	no	—
1466	C₄×D₃	—	10	2	no	—
1467	C₄×D₃	—	10	2	no	—
1468	C₄×D₃	—	20	1	no	—
1469	C₄×D₃	—	20	1	no	—
1470	C₄×D₃	—	20	1	no	—
1471	Dic₆	—	2	2	no	—
1472	Dic₆	—	2	2	no	—
1473	Dic₆	—	4	1	no	—
1474	Dic₆	—	5	4	no	—
1475	Dic₆	—	5	4	no	—
1476	Dic₆	—	10	2	no	—
1477	Dic₆	—	10	2	no	—
1478	Dic₆	—	10	2	no	—
1479	Dic₆	—	10	2	no	—
1480	Dic₆	—	10	2	no	—
1481	Dic₆	—	10	2	no	—
1482	Dic₆	—	20	1	no	—
1483	Dic₆	—	20	1	no	—
1484	Dic₆	—	20	1	no	—
1485	C₂²×C₅	—	2	1	no	—
1486	C₂²×C₅	—	2	1	no	—
1487	C₂²×C₅	C₂×D₃×Q₈	1	2	yes	—
1488	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1489	C₂×D₅	—	2	1	no	—
1490	C₂×D₅	—	2	1	no	—
1491	C₂×D₅	—	3	2	no	—
1492	C₂×D₅	—	6	1	no	—
1493	C₂×D₅	—	6	1	no	—
1494	C₂×D₅	C₂×D₃×Q₈	1	2	yes	—
1495	C₄×C₅	—	2	1	no	—
1496	C₄×C₅	—	2	1	no	—
1497	C₄×C₅	—	2	1	no	—
1498	C₄×C₅	—	2	1	no	—
1499	C₄×C₅	—	2	1	no	—
1500	C₄×C₅	—	2	1	no	—
1501	C₄×C₅	—	3	2	no	—
1502	C₄×C₅	—	3	2	no	—
1503	C₄×C₅	—	3	2	no	—
1504	C₄×C₅	—	6	1	no	—
1505	C₄×C₅	—	6	1	no	—
1506	C₄×C₅	—	6	1	no	—
1507	C₄×C₅	—	6	1	no	—
1508	C₄×C₅	—	6	1	no	—
1509	Dic₅	—	2	1	no	—
1510	Dic₅	—	2	1	no	—
1511	Dic₅	—	2	1	no	—
1512	Dic₅	—	2	1	no	—
1513	Dic₅	—	2	1	no	—
1514	Dic₅	—	3	2	no	—
1515	Dic₅	—	3	2	no	—
1516	Dic₅	—	6	1	no	—
1517	Dic₅	—	6	1	no	—
1518	Dic₅	—	6	1	no	—
1519	Dic₅	—	6	1	no	—
1520	Dic₅	—	6	1	no	—
1521	Dic₅	C₂×D₃×Q₈	1	2	yes	—
1522	Dic₅	D₃×#41	1	2	yes	—
1523	#41	—	15	8	no	—
1524	C₂×Q₈	—	3	1	no	—
1525	C₂×Q₈	—	3	1	no	—
1526	C₂×Q₈	—	3	1	no	—
1527	C₂×Q₈	—	5	1	no	—
1528	C₂×Q₈	—	5	1	no	—
1529	C₂×Q₈	—	15	1	no	—
1530	C₂×Q₈	—	15	1	no	—
1531	C₂×Q₈	—	15	1	no	—
1532	C₂×Q₈	—	15	1	no	—
1533	C₂×Q₈	—	15	1	no	—
1534	C₂×Q₈	—	15	1	no	—
1535	C₂×Q₈	—	15	1	no	—
1536	C₂×Q₈	—	15	1	no	—
1537	C₂×Q₈	—	15	1	no	—
1538	C₂×Q₈	—	15	1	no	—
1539	C₂×Q₈	—	15	1	no	—
1540	C₂×Q₈	—	30	4	no	—
1541	C₂×Q₈	—	30	4	no	—
1542	C₂×Q₈	—	30	4	no	—
1543	C₂×Q₈	C₂×D₃×D₅	1	1	yes	characteristic
1544	C₂×D₄	—	5	1	no	—
1545	C₂×D₄	—	15	1	no	—
1546	C₂×D₄	—	15	1	no	—
1547	C₂²×C₄	—	3	1	no	—
1548	C₂²×C₄	—	3	1	no	—
1549	C₂²×C₄	—	5	1	no	—
1550	C₂²×C₄	—	5	1	no	—
1551	C₂²×C₄	—	5	1	no	—
1552	C₂²×C₄	—	5	1	no	—
1553	C₂²×C₄	—	5	1	no	—
1554	C₂²×C₄	—	15	1	no	—
1555	C₂²×C₄	—	15	1	no	—
1556	C₂²×C₄	—	15	1	no	—
1557	C₂²×C₄	—	15	1	no	—
1558	C₂²×C₄	—	15	1	no	—
1559	C₂²×C₄	—	15	1	no	—
1560	C₂²×C₄	—	15	1	no	—
1561	C₂²×C₄	—	15	1	no	—
1562	C₂²×C₄	—	15	1	no	—
1563	C₂²×C₄	—	15	1	no	—
1564	C₂²×C₄	—	15	1	no	—
1565	C₂²×C₄	—	15	1	no	—
1566	C₂²×C₄	—	15	1	no	—
1567	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
1568	C₄⋊C₄	—	3	1	no	—
1569	C₄⋊C₄	—	3	1	no	—
1570	C₄⋊C₄	—	3	1	no	—
1571	C₄⋊C₄	—	3	1	no	—
1572	C₄⋊C₄	—	3	1	no	—
1573	C₄⋊C₄	—	3	1	no	—
1574	C₄⋊C₄	—	3	1	no	—
1575	C₄⋊C₄	—	3	1	no	—
1576	C₄⋊C₄	—	3	1	no	—
1577	C₄⋊C₄	—	3	1	no	—
1578	C₄⋊C₄	—	3	1	no	—
1579	C₄⋊C₄	—	3	1	no	—
1580	C₄⋊C₄	—	3	1	no	—
1581	C₄⋊C₄	—	5	1	no	—
1582	C₄⋊C₄	—	5	1	no	—
1583	C₄⋊C₄	—	5	1	no	—
1584	C₄⋊C₄	—	5	1	no	—
1585	C₄⋊C₄	—	5	1	no	—
1586	C₄⋊C₄	—	5	1	no	—
1587	C₄⋊C₄	—	5	1	no	—
1588	C₄⋊C₄	—	5	1	no	—
1589	C₄⋊C₄	—	5	1	no	—
1590	C₄⋊C₄	—	5	1	no	—
1591	C₄⋊C₄	—	5	1	no	—
1592	C₄⋊C₄	—	5	1	no	—
1593	C₄⋊C₄	—	5	1	no	—
1594	C₄⋊C₄	—	15	1	no	—
1595	C₄⋊C₄	—	15	1	no	—
1596	C₄⋊C₄	—	15	1	no	—
1597	C₄⋊C₄	—	15	1	no	—
1598	C₄⋊C₄	—	15	1	no	—
1599	C₄⋊C₄	—	15	1	no	—
1600	C₄⋊C₄	—	15	1	no	—
1601	C₄⋊C₄	—	15	1	no	—
1602	C₄⋊C₄	—	15	1	no	—
1603	C₄⋊C₄	—	15	1	no	—
1604	C₄⋊C₄	—	15	1	no	—
1605	C₄⋊C₄	—	15	1	no	—
1606	C₄⋊C₄	—	15	1	no	—
1607	C₄⋊C₄	—	15	1	no	—
1608	C₄⋊C₄	—	15	1	no	—
1609	C₄⋊C₄	—	15	1	no	—
1610	C₄⋊C₄	—	15	1	no	—
1611	C₄⋊C₄	—	15	1	no	—
1612	C₄⋊C₄	—	15	1	no	—
1613	C₄⋊C₄	—	15	1	no	—
1614	C₄⋊C₄	—	15	1	no	—
1615	C₄⋊C₄	—	15	1	no	—
1616	C₄⋊C₄	—	15	1	no	—
1617	C₄⋊C₄	—	15	1	no	—
1618	C₄⋊C₄	—	15	1	no	—
1619	C₄⋊C₄	—	15	1	no	—
1620	C₄⋊C₄	—	15	1	no	—
1621	C₄⋊C₄	—	15	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	C₂×D₃×D₅	1	1	yes	characteristic
1632	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1633	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1634	C₂²⋊C₄	—	3	1	no	—
1635	C₂²⋊C₄	—	3	1	no	—
1636	C₂²⋊C₄	—	5	1	no	—
1637	C₂²⋊C₄	—	5	1	no	—
1638	C₂²⋊C₄	—	5	1	no	—
1639	C₂²⋊C₄	—	5	1	no	—
1640	C₂²⋊C₄	—	15	1	no	—
1641	C₂²⋊C₄	—	15	1	no	—
1642	C₂²⋊C₄	—	15	1	no	—
1643	C₂²⋊C₄	—	15	1	no	—
1644	C₂²⋊C₄	—	15	1	no	—
1645	C₂²⋊C₄	—	15	1	no	—
1646	C₂²⋊C₄	—	15	1	no	—
1647	C₂²⋊C₄	—	15	1	no	—
1648	C₂²⋊C₄	—	15	1	no	—
1649	C₂²⋊C₄	—	15	1	no	—
1650	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1651	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1652	C₄²	—	3	1	no	—
1653	C₄²	—	3	1	no	—
1654	C₄²	—	3	1	no	—
1655	C₄²	—	3	1	no	—
1656	C₄²	—	3	1	no	—
1657	C₄²	—	3	1	no	—
1658	C₄²	—	3	1	no	—
1659	C₄²	—	3	1	no	—
1660	C₄²	—	5	1	no	—
1661	C₄²	—	5	1	no	—
1662	C₄²	—	5	1	no	—
1663	C₄²	—	15	1	no	—
1664	C₄²	—	15	1	no	—
1665	C₄²	—	15	1	no	—
1666	C₄²	—	15	1	no	—
1667	C₄²	—	15	1	no	—
1668	C₄²	—	15	1	no	—
1669	C₄²	—	15	1	no	—
1670	C₄²	—	15	1	no	—
1671	C₄²	—	15	1	no	—
1672	C₄²	—	15	1	no	—
1673	C₄²	—	15	1	no	—
1674	C₄²	—	15	1	no	—
1675	C₄²	—	15	1	no	—
1676	C₄²	—	15	1	no	—
1677	C₄²	—	15	1	no	—
1678	C₄²	—	15	1	no	—
1679	C₄²	—	15	1	no	—
1680	C₄²	—	15	1	no	—
1681	C₄²	—	15	1	no	—
1682	C₃×C₅	Q₈×#41	1	1	yes	characteristic, complemented, Hall
1683	C₂²×C₃	—	2	1	no	—
1684	C₂²×C₃	—	2	1	no	—
1685	C₂²×C₃	—	5	2	no	—
1686	C₂²×C₃	—	10	1	no	—
1687	C₂²×C₃	—	10	1	no	—
1688	C₂²×C₃	C₂×Q₈×D₅	1	2	yes	—
1689	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1690	C₂×D₃	—	5	2	no	—
1691	C₂×D₃	—	10	1	no	—
1692	C₂×D₃	—	10	1	no	—
1693	C₃×C₄	—	2	1	no	—
1694	C₃×C₄	—	2	1	no	—
1695	C₃×C₄	—	2	1	no	—
1696	C₃×C₄	—	2	1	no	—
1697	C₃×C₄	—	2	1	no	—
1698	C₃×C₄	—	2	1	no	—
1699	C₃×C₄	—	5	2	no	—
1700	C₃×C₄	—	5	2	no	—
1701	C₃×C₄	—	10	1	no	—
1702	C₃×C₄	—	10	1	no	—
1703	C₃×C₄	—	10	1	no	—
1704	C₃×C₄	—	10	1	no	—
1705	C₃×C₄	—	10	1	no	—
1706	Dic₃	—	2	1	no	—
1707	Dic₃	—	2	1	no	—
1708	Dic₃	—	2	1	no	—
1709	Dic₃	—	2	1	no	—
1710	Dic₃	—	2	1	no	—
1711	Dic₃	—	5	2	no	—
1712	Dic₃	—	5	2	no	—
1713	Dic₃	—	10	1	no	—
1714	Dic₃	—	10	1	no	—
1715	Dic₃	—	10	1	no	—
1716	Dic₃	—	10	1	no	—
1717	Dic₃	—	10	1	no	—
1718	Dic₃	C₂×Q₈×D₅	1	2	yes	—
1719	Dic₃	C₂×Q₈×D₅	1	2	yes	—
1720	Dic₃	D₅×#41	1	2	yes	—
1721	C₂×C₅	—	2	2	no	—
1722	C₂×C₅	C₂²×D₃×Q₈	1	1	yes	characteristic
1723	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1724	C₂×C₅	#5966	1	1	yes	characteristic
1725	D₅	—	2	2	no	—
1726	D₅	—	6	2	no	—
1727	C₂³	—	5	1	no	—
1728	C₂³	—	15	1	no	—
1729	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1730	Q₈	—	4	1	no	—
1731	Q₈	—	6	2	no	—
1732	Q₈	—	6	2	no	—
1733	Q₈	—	10	2	no	—
1734	Q₈	—	12	1	no	—
1735	Q₈	—	15	4	no	—
1736	Q₈	—	15	4	no	—
1737	Q₈	—	20	1	no	—
1738	Q₈	—	30	2	no	—
1739	Q₈	—	30	2	no	—
1740	Q₈	—	30	2	no	—
1741	Q₈	—	30	2	no	—
1742	Q₈	—	30	2	no	—
1743	Q₈	—	30	2	no	—
1744	Q₈	—	60	1	no	—
1745	Q₈	—	60	1	no	—
1746	Q₈	—	60	1	no	—
1747	D₄	—	5	4	no	—
1748	D₄	—	15	4	no	—
1749	D₄	—	15	4	no	—
1750	C₂×C₄	—	3	4	no	—
1751	C₂×C₄	—	3	1	no	—
1752	C₂×C₄	—	3	1	no	—
1753	C₂×C₄	—	3	1	no	—
1754	C₂×C₄	—	3	1	no	—
1755	C₂×C₄	—	3	1	no	—
1756	C₂×C₄	—	3	1	no	—
1757	C₂×C₄	—	3	1	no	—
1758	C₂×C₄	—	3	1	no	—
1759	C₂×C₄	—	4	1	no	—
1760	C₂×C₄	—	5	1	no	—
1761	C₂×C₄	—	5	1	no	—
1762	C₂×C₄	—	5	1	no	—
1763	C₂×C₄	—	5	1	no	—
1764	C₂×C₄	—	5	1	no	—
1765	C₂×C₄	—	5	1	no	—
1766	C₂×C₄	—	5	1	no	—
1767	C₂×C₄	—	6	2	no	—
1768	C₂×C₄	—	10	2	no	—
1769	C₂×C₄	—	10	2	no	—
1770	C₂×C₄	—	15	4	no	—
1771	C₂×C₄	—	15	4	no	—
1772	C₂×C₄	—	15	1	no	—
1773	C₂×C₄	—	15	1	no	—
1774	C₂×C₄	—	15	1	no	—
1775	C₂×C₄	—	15	1	no	—
1776	C₂×C₄	—	15	1	no	—
1777	C₂×C₄	—	15	1	no	—
1778	C₂×C₄	—	15	1	no	—
1779	C₂×C₄	—	20	1	no	—
1780	C₂×C₄	—	20	1	no	—
1781	C₂×C₄	—	20	1	no	—
1782	C₂×C₄	—	30	2	no	—
1783	C₂×C₄	—	30	2	no	—
1784	C₂×C₄	—	30	2	no	—
1785	C₂×C₄	—	30	2	no	—
1786	C₂×C₄	—	30	2	no	—
1787	C₂×C₄	—	30	2	no	—
1788	C₂×C₄	—	60	1	no	—
1789	C₂×C₄	—	60	1	no	—
1790	C₂×C₄	—	60	1	no	—
1791	C₂×C₄	—	60	1	no	—
1792	C₂×C₄	—	60	1	no	—
1793	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1794	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1795	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1796	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1797	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1798	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1799	C₂×C₃	—	2	2	no	—
1800	C₂×C₃	—	10	2	no	—
1801	C₂×C₃	C₂²×Q₈×D₅	1	1	yes	characteristic
1802	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1803	C₂×C₃	#66283	1	1	yes	characteristic
1804	D₃	—	10	2	no	—
1805	C₅	#86923	1	1	yes	characteristic, complemented, Sylow
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	5	2	no	—
1809	C₂²	—	10	1	no	—
1810	C₂²	—	10	1	no	—
1811	C₂²	—	15	2	no	—
1812	C₂²	—	30	1	no	—
1813	C₂²	—	30	1	no	—
1814	C₂²	D₃×Q₈×D₅	1	2	yes	—
1815	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1816	C₄	—	2	1	no	—
1817	C₄	—	2	1	no	—
1818	C₄	—	2	1	no	—
1819	C₄	—	2	1	no	—
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	3	2	no	—
1823	C₄	—	3	2	no	—
1824	C₄	—	3	2	no	—
1825	C₄	—	5	2	no	—
1826	C₄	—	5	2	no	—
1827	C₄	—	6	1	no	—
1828	C₄	—	6	1	no	—
1829	C₄	—	6	1	no	—
1830	C₄	—	6	1	no	—
1831	C₄	—	6	1	no	—
1832	C₄	—	10	1	no	—
1833	C₄	—	10	1	no	—
1834	C₄	—	10	1	no	—
1835	C₄	—	10	1	no	—
1836	C₄	—	10	1	no	—
1837	C₄	—	15	2	no	—
1838	C₄	—	15	2	no	—
1839	C₄	—	30	1	no	—
1840	C₄	—	30	1	no	—
1841	C₄	—	30	1	no	—
1842	C₄	—	30	1	no	—
1843	C₄	—	30	1	no	—
1844	C₃	#10618178	1	1	yes	characteristic, complemented, Sylow
1845	C₂	—	2	2	no	—
1846	C₂	—	10	2	no	—
1847	C₂	—	30	2	no	—
1848	C₂	#11757035	1	1	yes	characteristic
1849	C₂	C₂×D₃×Q₈×D₅	1	1	yes	characteristic
1850	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×C₂²⋊Q₈	C₂²
prime radical	C₂×#6779	C₂²
hypercenter	C₂²⋊Q₈	D₃×D₅
hypocenter	C₃×C₅	Q₈×#41
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. #11756395	C₂	semidirect
2. C₅×#5622	C₂	semidirect
3. C₃×#65970	C₂	semidirect
4. #11755266	C₂	semidirect
5. #11755185	C₂	semidirect
6. #11755178	C₂	semidirect
7. #11755173	C₂	semidirect
8. #11754445	C₂	semidirect
9. #11754417	C₂	semidirect
11. C₂×#91324	C₂	semidirect
12. #11753828	C₂	semidirect
13. #11753826	C₂	semidirect
14. #11753714	C₂	semidirect
15. #11753467	C₂	semidirect
16. #11753467	C₂	semidirect
17. #11753453	C₂	semidirect
18. #11753444	C₂	semidirect
19. #11753444	C₂	semidirect
20. #11753431	C₂	semidirect
21. #11753409	C₂	semidirect
22. D₅×#887	C₂	semidirect
23. #11753309	C₂	semidirect
24. #11753000	C₂	semidirect
25. #11752981	C₂	semidirect
26. #11752862	C₂	semidirect
27. #11752860	C₂	semidirect
30. #11752780	C₂	semidirect
31. #11752780	C₂	semidirect
201. #65970	D₃	semidirect
258. #6779	Q₈	semidirect
397. #5622	D₅	semidirect
577. #1220	C₂×Q₈	semidirect
593. C₂×C₅×Dic₃	C₂×Q₈	semidirect
605. C₃×C₂²⋊D₅	C₂×Q₈	semidirect
627. #1204	C₂×Q₈	semidirect
628. #1204	#41	semidirect
629. #1202	C₂×Q₈	semidirect
633. #1200	C₂×Q₈	semidirect
637. D₅×Dic₃	C₂×Q₈	semidirect
1205. C₂²⋊D₅	D₃×Q₈	semidirect
1455. C₂×Dic₃	Q₈×D₅	semidirect
1682. C₃×C₅	Q₈×#41	semidirect
1805. C₅	#86923	semidirect
1844. C₃	#10618178	semidirect

Maximal subgroups

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

subgroup	index
#11756395	2
C₅×#5622	2
C₃×#65970	2
#11755266	2
#11755185	2
#11755178	2
#11755173	2
#11754445	2
#11754417	2
C₄×#6779	2
C₂×#91324	2
#11753828	2
#11753826	2
#11753714	2
#11753467	2
#11753453	2
#11753444	2
#11753431	2
#11753409	2
D₅×#887	2
#11753309	2
#11753000	2
#11752981	2
#11752862	2
#11752860	2
#11752818	2
#11752780	2
#10618178	3
#86923	5