Subgroups — #14480285

Order 1920.

2424 conjugacy classes of subgroups.

The subgroup lattice has 1988 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756465	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5706	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66040	C₂	1	1	yes	maximal, characteristic, complemented
4	#11753866	C₂	1	1	yes	maximal, characteristic, complemented
5	#11753862	C₂	1	1	yes	maximal, characteristic, complemented
6	#11753853	C₂	1	1	yes	maximal, characteristic, complemented
7	#11753536	C₂	1	1	yes	maximal, characteristic, complemented
8	#11753507	C₂	1	1	yes	maximal, characteristic, complemented
9	#11753494	C₂	1	1	yes	maximal, characteristic, complemented
10	#11753467	C₂	1	1	yes	maximal, characteristic, complemented
11	#11753457	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753446	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753408	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753402	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753400	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753250	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753244	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753221	C₂	1	1	yes	maximal, characteristic, complemented
19	#11752937	C₂	1	1	yes	maximal, characteristic, complemented
20	#11752934	C₂	1	1	yes	maximal, characteristic, complemented
21	#11752897	C₂	1	1	yes	maximal, characteristic, complemented
22	#11752855	C₂	1	1	yes	maximal, characteristic, complemented
23	#11752843	C₂	1	1	yes	maximal, characteristic, complemented
24	#11752834	C₂	1	1	yes	maximal, characteristic, complemented
25	#11752823	C₂	1	1	yes	maximal, characteristic, complemented
26	#11752820	C₂	1	1	yes	maximal, characteristic, complemented
27	#11752818	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄²×D₃×D₅	C₂	1	1	yes	maximal, characteristic, complemented
29	#11752702	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752692	C₂	1	1	yes	maximal, characteristic, complemented
31	#11752684	C₂	1	1	yes	maximal, characteristic, complemented
32	#10618020	—	3	1	no	maximal, Hall
33	C₂×#6782	C₂²	1	1	yes	characteristic
34	C₂×#6780	C₂²	1	1	yes	characteristic
35	C₂×#6779	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×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
39	C₂×#6772	C₂²	1	1	yes	characteristic
40	C₂×#6769	C₂²	1	1	yes	characteristic
41	C₂×#6766	C₂²	1	1	yes	characteristic
42	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
43	#91785	C₂²	1	1	yes	characteristic
44	#91783	C₂²	1	1	yes	characteristic
45	#91782	C₂²	1	1	yes	characteristic
46	#91781	C₂²	1	1	yes	characteristic, complemented
47	#91778	C₂²	1	1	yes	characteristic, complemented
48	#91776	C₂²	1	1	yes	characteristic, complemented
49	#91774	C₂²	1	1	yes	characteristic, complemented
50	#91773	C₂²	1	1	yes	characteristic
51	#91772	C₂²	1	1	yes	characteristic
52	#91770	C₂²	1	1	yes	characteristic
53	#91770	C₂²	1	1	yes	characteristic, complemented
54	#91766	C₂²	1	1	yes	characteristic, complemented
55	#91765	C₂²	1	1	yes	characteristic, complemented
56	C₄²×D₁₅	C₂²	1	1	yes	characteristic
57	C₅×#896	C₂²	1	1	yes	characteristic
58	C₅×#894	C₂²	1	1	yes	characteristic
59	C₅×#893	C₂²	1	1	yes	characteristic
60	C₅×#892	C₂²	1	1	yes	characteristic, complemented
61	C₅×#889	C₂²	1	1	yes	characteristic, complemented
62	C₅×#887	C₂²	1	1	yes	characteristic, complemented
63	C₅×#885	C₂²	1	1	yes	characteristic, complemented
64	C₅×#884	C₂²	1	1	yes	characteristic
65	C₅×#883	C₂²	1	1	yes	characteristic
66	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
67	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
68	C₅×#877	C₂²	1	1	yes	characteristic, complemented
69	C₅×#876	C₂²	1	1	yes	characteristic, complemented
70	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
71	C₃×#4042	C₂²	1	1	yes	characteristic
72	C₃×#4040	C₂²	1	1	yes	characteristic
73	C₃×#4039	C₂²	1	1	yes	characteristic
74	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
75	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4030	C₂²	1	1	yes	characteristic
79	C₃×#4029	C₂²	1	1	yes	characteristic
80	C₃×#4027	C₂²	1	1	yes	characteristic
81	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
82	C₃×#4023	C₂²	1	1	yes	characteristic, complemented
83	C₃×#4022	C₂²	1	1	yes	characteristic, complemented
84	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
85	#91577	C₂²	1	1	yes	characteristic
86	#91567	C₂²	1	1	yes	characteristic, complemented
87	#91565	C₂²	1	1	yes	characteristic
88	#67⋊Dic₅	C₂²	1	1	yes	characteristic
89	#91559	C₂²	1	1	yes	characteristic, complemented
90	#91557	C₂²	1	1	yes	characteristic
91	#91556	C₂²	1	1	yes	characteristic, complemented
92	Dic₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
93	#91552	C₂²	1	1	yes	characteristic
94	Dic₅×#67	C₂²	1	1	yes	characteristic, complemented
95	#91550	C₂²	1	1	yes	characteristic
96	#91531	C₂²	1	1	yes	characteristic, complemented
97	C₂×Dic₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
98	#91476	C₂²	1	1	yes	characteristic
99	#91475	C₂²	1	1	yes	characteristic
100	#91474	C₂²	1	1	yes	characteristic
101	#91464	C₂²	1	1	yes	characteristic, complemented
102	#91461	C₂²	1	1	yes	characteristic
103	#91459	C₂²	1	1	yes	characteristic
104	#91454	C₂²	1	1	yes	characteristic
105	#91452	C₂²	1	1	yes	characteristic
106	#91448	C₂²	1	1	yes	characteristic
107	#91447	C₂²	1	1	yes	characteristic
108	#91446	C₂²	1	1	yes	characteristic
109	#91444	C₂²	1	1	yes	characteristic
110	#91444	C₂²	1	1	yes	characteristic
111	#91444	C₂²	1	1	yes	characteristic, complemented
112	#91442	C₂²	1	1	yes	characteristic
113	#91442	C₂²	1	1	yes	characteristic, complemented
114	#91441	C₂²	1	1	yes	characteristic
115	#91441	C₂²	1	1	yes	characteristic
116	#91441	C₂²	1	1	yes	characteristic, complemented
117	#91440	C₂²	1	1	yes	characteristic
118	#91435	C₂²	1	1	yes	characteristic
119	#91431	C₂²	1	1	yes	characteristic
120	#91430	C₂²	1	1	yes	characteristic
121	#91429	C₂²	1	1	yes	characteristic
122	Dic₃×D₂₀	C₂²	1	1	yes	characteristic
123	#91424	C₂²	1	1	yes	characteristic
124	#91418	C₂²	1	1	yes	characteristic
125	#91417	C₂²	1	1	yes	characteristic
126	#91416	C₂²	1	1	yes	characteristic
127	#91410	C₂²	1	1	yes	characteristic
128	#91408	C₂²	1	1	yes	characteristic
129	#91406	C₂²	1	1	yes	characteristic
130	#91406	C₂²	1	1	yes	characteristic
131	#91406	C₂²	1	1	yes	characteristic, complemented
132	#91405	C₂²	1	1	yes	characteristic
133	#91405	C₂²	1	1	yes	characteristic, complemented
134	#91403	C₂²	1	1	yes	characteristic
135	#91403	C₂²	1	1	yes	characteristic
136	#91403	C₂²	1	1	yes	characteristic, complemented
137	#91402	C₂²	1	1	yes	characteristic, complemented
138	C₄×#1200	C₂²	1	1	yes	characteristic
139	C₄×#1200	C₂²	1	1	yes	characteristic
140	C₄×#1200	C₂²	1	1	yes	characteristic
141	C₄×#1200	C₂²	1	1	yes	characteristic, complemented
142	#91400	C₂²	1	1	yes	characteristic, complemented
143	#91398	C₂²	1	1	yes	characteristic
144	#91398	C₂²	1	1	yes	characteristic
145	#91398	C₂²	1	1	yes	characteristic, complemented
146	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
147	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
148	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
149	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
150	#91396	C₂²	1	1	yes	characteristic
151	#91395	C₂²	1	1	yes	characteristic
152	#91395	C₂²	1	1	yes	characteristic, complemented
153	#91394	C₂²	1	1	yes	characteristic
154	#91394	C₂²	1	1	yes	characteristic
155	#91394	C₂²	1	1	yes	characteristic, complemented
156	#91393	C₂²	1	1	yes	characteristic, complemented
157	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
158	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
159	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
160	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
161	#91382	C₂²	1	1	yes	characteristic, complemented
162	#91379	C₂²	1	1	yes	characteristic, complemented
163	#91378	C₂²	1	1	yes	characteristic, complemented
164	#91377	C₂²	1	1	yes	characteristic
165	#91361	C₂²	1	1	yes	characteristic, complemented
166	#91355	C₂²	1	1	yes	characteristic
167	#91354	C₂²	1	1	yes	characteristic
168	#91353	C₂²	1	1	yes	characteristic, complemented
169	#91352	C₂²	1	1	yes	characteristic
170	#91351	C₂²	1	1	yes	characteristic
171	#91350	C₂²	1	1	yes	characteristic, complemented
172	#91349	C₂²	1	1	yes	characteristic
173	#91348	C₂²	1	1	yes	characteristic
174	#91345	C₂²	1	1	yes	characteristic, complemented
175	#91342	C₂²	1	1	yes	characteristic, complemented
176	#91340	C₂²	1	1	yes	characteristic, complemented
177	Dic₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
178	#91331	C₂²	1	1	yes	characteristic, complemented
179	#91329	C₂²	1	1	yes	characteristic, complemented
180	#91328	C₂²	1	1	yes	characteristic, complemented
181	#91327	C₂²	1	1	yes	characteristic, complemented
182	#91325	C₂²	1	1	yes	characteristic, complemented
183	#91325	C₂²	1	1	yes	characteristic, complemented
184	#91324	C₂²	1	1	yes	characteristic, complemented
185	#91324	C₂²	1	1	yes	characteristic, complemented
186	#91323	C₂²	1	1	yes	characteristic, complemented
187	#91323	C₂²	1	1	yes	characteristic, complemented
188	#86119	—	5	1	no	maximal, Hall
189	C₅×#529	—	3	1	no	—
190	#66040	—	3	1	no	—
191	#66040	—	3	1	no	—
192	#66040	—	3	1	no	—
193	#66040	D₃	1	1	yes	characteristic, complemented
194	#66025	—	3	1	no	—
195	#66022	—	3	1	no	—
196	#66014	—	3	1	no	—
197	#66002	—	3	1	no	—
198	#65990	—	3	1	no	—
199	#65990	—	3	1	no	—
200	#65983	—	3	1	no	—
201	#65983	—	3	1	no	—
202	#65961	—	3	1	no	—
203	#65956	—	3	1	no	—
204	#65940	—	3	1	no	—
205	#65930	—	3	1	no	—
206	#65912	—	3	1	no	—
207	C₄×#713	—	3	1	no	—
208	#65882	—	3	1	no	—
209	#65881	—	3	1	no	—
210	#65881	—	3	1	no	—
211	C₄×#711	—	3	1	no	—
212	C₄×#711	—	3	1	no	—
213	C₄×#711	—	3	1	no	—
214	#65862	—	3	1	no	—
215	#65862	—	3	1	no	—
216	#65856	—	3	1	no	—
217	#65856	—	3	1	no	—
218	#65813	—	3	1	no	—
219	C₂×C₄²×D₅	—	3	1	no	—
220	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
221	C₂×#1220	C₂³	1	1	yes	characteristic
222	C₂×#1220	C₂³	1	1	yes	characteristic
223	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic
224	C₂×D₆₀	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×C₄×D₁₅	C₂³	1	1	yes	characteristic
229	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
230	C₂×C₅×#67	C₂³	1	1	yes	characteristic
231	C₂×C₅×#67	C₂³	1	1	yes	characteristic
232	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
233	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
234	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
235	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
236	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
237	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
238	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
241	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
242	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
247	C₂×C₃×Dic₁₀	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×#1203	C₂³	1	1	yes	characteristic
252	C₂×#1203	C₂³	1	1	yes	characteristic
253	C₂×#1203	C₂³	1	1	yes	characteristic
254	C₂×#1202	C₂³	1	1	yes	characteristic
255	C₂×#1202	C₂³	1	1	yes	characteristic
256	C₂×#1202	C₂³	1	1	yes	characteristic
257	C₂×#1201	C₂³	1	1	yes	characteristic
258	C₂×#1201	C₂³	1	1	yes	characteristic
259	C₂×#1201	C₂³	1	1	yes	characteristic
260	C₂×#1200	C₂³	1	1	yes	characteristic
261	C₂×#1200	C₂³	1	1	yes	characteristic
262	C₂×#1200	C₂³	1	1	yes	characteristic
263	C₂×#1200	C₂³	1	1	yes	characteristic
264	C₂×#1200	C₂³	1	1	yes	characteristic
265	#6782	—	2	4	no	—
266	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
267	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
268	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
269	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
270	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
271	#6780	—	2	4	no	—
272	#6779	—	2	4	no	—
273	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
274	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
275	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
276	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
277	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
278	C₄×D₃×D₅	—	2	4	no	—
279	C₄×D₃×D₅	—	2	4	no	—
280	C₄×D₃×D₅	—	2	4	no	—
281	#6772	—	2	4	no	—
282	#6769	—	2	4	no	—
283	#6766	—	2	4	no	—
284	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
291	#6719	C₂³	1	1	yes	characteristic
292	#6714	C₂³	1	1	yes	characteristic
293	#6714	C₂³	1	1	yes	characteristic
294	#6714	C₂³	1	1	yes	characteristic
295	#6714	C₂³	1	1	yes	characteristic
296	#6714	C₂³	1	1	yes	characteristic
297	#6714	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
299	#6712	C₂³	1	1	yes	characteristic
300	#6712	C₂³	1	1	yes	characteristic
301	#6712	C₂³	1	1	yes	characteristic
302	#6712	C₂³	1	1	yes	characteristic
303	#6712	C₂³	1	1	yes	characteristic
304	#6712	C₂³	1	1	yes	characteristic
305	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
306	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
307	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
308	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
309	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
310	C₅×#217	C₂³	1	1	yes	characteristic
311	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
312	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
313	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
314	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
315	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
316	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
317	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
318	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
319	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
320	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
321	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
322	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
323	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
324	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
325	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
326	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
327	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
328	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
329	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
330	C₃×#685	C₂³	1	1	yes	characteristic
331	C₃×#685	C₂³	1	1	yes	characteristic
332	C₃×#685	C₂³	1	1	yes	characteristic
333	C₃×#685	C₂³	1	1	yes	characteristic
334	C₃×#685	C₂³	1	1	yes	characteristic
335	C₃×#685	C₂³	1	1	yes	characteristic
336	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
337	C₃×#683	C₂³	1	1	yes	characteristic
338	C₃×#683	C₂³	1	1	yes	characteristic
339	C₃×#683	C₂³	1	1	yes	characteristic
340	C₃×#683	C₂³	1	1	yes	characteristic
341	C₃×#683	C₂³	1	1	yes	characteristic
342	C₃×#683	C₂³	1	1	yes	characteristic
343	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
344	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
345	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
346	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
347	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
348	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
349	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
350	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
351	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
352	#6669	C₂³	1	1	yes	characteristic
353	#6669	C₂³	1	1	yes	characteristic
354	#6669	C₂³	1	1	yes	characteristic
355	#6669	C₂³	1	1	yes	characteristic
356	#6668	C₂³	1	1	yes	characteristic
357	#6668	C₂³	1	1	yes	characteristic
358	#6668	C₂³	1	1	yes	characteristic
359	#6668	C₂³	1	1	yes	characteristic
360	#6667	C₂³	1	1	yes	characteristic
361	#6667	C₂³	1	1	yes	characteristic
362	#6667	C₂³	1	1	yes	characteristic
363	#6667	C₂³	1	1	yes	characteristic
364	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
365	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
366	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
367	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
368	#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	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	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
380	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
381	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
382	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
383	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
384	C₃×#529	—	5	1	no	—
385	#5706	—	5	1	no	—
386	#5706	—	5	1	no	—
387	#5706	—	5	1	no	—
388	#5706	D₅	1	1	yes	characteristic, complemented
389	#5691	—	5	1	no	—
390	#5688	—	5	1	no	—
391	#5680	—	5	1	no	—
392	#5668	—	5	1	no	—
393	#5656	—	5	1	no	—
394	#5656	—	5	1	no	—
395	#5649	—	5	1	no	—
396	#5649	—	5	1	no	—
397	#5627	—	5	1	no	—
398	#5622	—	5	1	no	—
399	#5606	—	5	1	no	—
400	#5596	—	5	1	no	—
401	#5578	—	5	1	no	—
402	C₄×#239	—	5	1	no	—
403	#5548	—	5	1	no	—
404	#5547	—	5	1	no	—
405	#5547	—	5	1	no	—
406	C₄×#237	—	5	1	no	—
407	C₄×#237	—	5	1	no	—
408	C₄×#237	—	5	1	no	—
409	#5528	—	5	1	no	—
410	#5528	—	5	1	no	—
411	#5522	—	5	1	no	—
412	#5522	—	5	1	no	—
413	#5479	—	5	1	no	—
414	C₂×C₄²×D₃	—	5	1	no	—
415	C₂×#713	—	3	1	no	—
416	C₂×#711	—	3	1	no	—
417	C₂×#711	—	3	1	no	—
418	C₂×#711	—	3	1	no	—
419	C₂×#709	—	3	1	no	—
420	C₂×#709	—	3	1	no	—
421	C₂²×C₄×D₅	—	3	1	no	—
422	C₂²×C₄×D₅	—	3	1	no	—
423	C₂²×C₄×D₅	—	3	1	no	—
424	C₅×#126	—	3	1	no	—
425	C₅×#126	C₂×D₃	1	1	yes	characteristic, complemented
426	C₅×#125	—	3	1	no	—
427	C₅×#124	—	3	1	no	—
428	C₅×#123	—	3	1	no	—
429	C₅×#123	—	3	1	no	—
430	C₅×C₂²⋊Q₈	—	3	1	no	—
431	C₅×#121	—	3	1	no	—
432	C₄×C₅×Q₈	—	3	1	no	—
433	C₄×C₅×D₄	—	3	1	no	—
434	C₄×C₅×D₄	—	3	1	no	—
435	C₄×C₅×D₄	—	3	1	no	—
436	C₅×#117	—	3	1	no	—
437	C₅×#117	—	3	1	no	—
438	C₂×C₄²×C₅	—	3	1	no	—
439	#4092	—	3	1	no	—
440	Q₈×Dic₅	—	3	1	no	—
441	#4090	—	3	1	no	—
442	#4086	—	3	1	no	—
443	#4085	—	3	1	no	—
444	#4085	—	3	1	no	—
445	#4084	—	3	1	no	—
446	#4083	—	3	1	no	—
447	#4083	—	3	1	no	—
448	D₄×Dic₅	—	3	1	no	—
449	D₄×Dic₅	—	3	1	no	—
450	D₄×Dic₅	—	3	1	no	—
451	#4076	—	3	1	no	—
452	#4075	—	3	1	no	—
453	#4075	—	3	1	no	—
454	C₄×C₂²⋊D₅	—	3	1	no	—
455	C₄×C₂²⋊D₅	—	3	1	no	—
456	C₄×C₂²⋊D₅	—	3	1	no	—
457	C₄×C₂²⋊D₅	—	3	1	no	—
458	C₄×C₂²⋊D₅	—	3	1	no	—
459	C₄×C₂²⋊D₅	—	3	1	no	—
460	#4070	—	3	1	no	—
461	C₂×C₄×Dic₅	—	3	1	no	—
462	C₂×C₄×Dic₅	—	3	1	no	—
463	C₂×C₄×Dic₅	—	3	1	no	—
464	C₂×C₄×Dic₅	—	3	1	no	—
465	C₂×C₄×Dic₅	—	3	1	no	—
466	#4044	—	3	1	no	—
467	#4044	—	3	1	no	—
468	#4043	—	3	1	no	—
469	#4042	—	3	1	no	—
470	#4042	—	3	1	no	—
471	#4042	—	3	1	no	—
472	#4042	—	3	1	no	—
473	#4042	—	3	1	no	—
474	#4042	C₂×D₃	1	1	yes	characteristic
475	#4041	—	3	1	no	—
476	#4040	—	3	1	no	—
477	#4040	—	3	1	no	—
478	#4040	—	3	1	no	—
479	#4040	C₂×D₃	1	1	yes	characteristic
480	#4039	—	3	1	no	—
481	#4039	—	3	1	no	—
482	#4039	—	3	1	no	—
483	#4039	—	3	1	no	—
484	#4039	—	3	1	no	—
485	#4039	—	3	1	no	—
486	#4039	C₂×D₃	1	1	yes	characteristic
487	#4038	—	3	1	no	—
488	#4038	—	3	1	no	—
489	#4038	—	3	1	no	—
490	#4038	—	3	1	no	—
491	#4038	—	3	1	no	—
492	#4038	C₂×D₃	1	1	yes	characteristic, complemented
493	#4035	—	3	1	no	—
494	#4035	—	3	1	no	—
495	#4035	—	3	1	no	—
496	#4035	C₂×D₃	1	1	yes	characteristic, complemented
497	#4034	—	3	1	no	—
498	#4034	—	3	1	no	—
499	#4033	—	3	1	no	—
500	#4033	—	3	1	no	—
501	#4033	—	3	1	no	—
502	#4033	—	3	1	no	—
503	#4033	—	3	1	no	—
504	#4033	—	3	1	no	—
505	#4033	C₂×D₃	1	1	yes	characteristic, complemented
506	#4031	—	3	1	no	—
507	#4031	—	3	1	no	—
508	#4031	—	3	1	no	—
509	#4031	C₂×D₃	1	1	yes	characteristic, complemented
510	#4030	—	3	1	no	—
511	#4030	—	3	1	no	—
512	#4030	—	3	1	no	—
513	#4030	—	3	1	no	—
514	#4030	—	3	1	no	—
515	#4030	C₂×D₃	1	1	yes	characteristic
516	#4029	—	3	1	no	—
517	#4029	—	3	1	no	—
518	#4029	—	3	1	no	—
519	#4029	C₂×D₃	1	1	yes	characteristic
520	#4028	—	3	1	no	—
521	#4028	—	3	1	no	—
522	#4027	—	3	1	no	—
523	#4027	—	3	1	no	—
524	#4027	—	3	1	no	—
525	#4027	—	3	1	no	—
526	#4027	—	3	1	no	—
527	#4027	—	3	1	no	—
528	#4027	—	3	1	no	—
529	#4027	—	3	1	no	—
530	#4027	—	3	1	no	—
531	#4027	—	3	1	no	—
532	#4027	—	3	1	no	—
533	#4027	—	3	1	no	—
534	#4027	C₂×D₃	1	1	yes	characteristic
535	#4027	C₂×D₃	1	1	yes	characteristic, complemented
536	#4025	—	3	1	no	—
537	#4025	—	3	1	no	—
538	#4024	—	3	1	no	—
539	#4024	—	3	1	no	—
540	#4023	—	3	1	no	—
541	#4023	—	3	1	no	—
542	#4023	—	3	1	no	—
543	#4023	—	3	1	no	—
544	#4023	—	3	1	no	—
545	#4023	C₂×D₃	1	1	yes	characteristic, complemented
546	#4022	—	3	1	no	—
547	#4022	C₂×D₃	1	1	yes	characteristic, complemented
548	#4021	—	3	1	no	—
549	C₄×D₂₀	—	3	1	no	—
550	C₄×D₂₀	—	3	1	no	—
551	C₄×D₂₀	—	3	1	no	—
552	#4018	—	3	1	no	—
553	#4018	—	3	1	no	—
554	#4018	—	3	1	no	—
555	#4018	—	3	1	no	—
556	C₄²×D₅	—	3	1	no	—
557	C₄²×D₅	—	3	1	no	—
558	C₄²×D₅	—	3	1	no	—
559	C₄²×D₅	—	3	1	no	—
560	C₄²×D₅	—	3	1	no	—
561	C₄²×D₅	—	3	1	no	—
562	C₄²×D₅	—	3	1	no	—
563	C₄²×D₅	—	3	1	no	—
564	C₄²×D₅	—	3	1	no	—
565	C₄²×D₅	C₂×D₃	1	1	yes	characteristic
566	#4016	—	3	1	no	—
567	C₄×Dic₁₀	—	3	1	no	—
568	C₄×Dic₁₀	—	3	1	no	—
569	C₄×Dic₁₀	—	3	1	no	—
570	#3444	—	15	1	no	Sylow
571	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
572	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
573	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
574	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
577	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
578	C₂×D₃×D₅	—	2	2	no	—
579	C₂×D₃×D₅	—	2	2	no	—
580	C₂×D₃×D₅	—	2	2	no	—
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×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	#1220	—	2	2	no	—
588	#1220	—	2	2	no	—
589	C₂×Dic₁₅	—	2	2	no	—
590	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
596	D₆₀	—	2	2	no	—
597	C₄×D₁₅	—	2	2	no	—
598	C₄×D₁₅	—	2	2	no	—
599	C₄×D₁₅	—	2	2	no	—
600	C₄×D₁₅	—	2	2	no	—
601	Dic₃₀	—	2	2	no	—
602	C₅×#67	—	2	2	no	—
603	C₅×#67	—	2	2	no	—
604	C₂×C₅×Dic₃	—	2	2	no	—
605	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
611	C₅×D₁₂	—	2	2	no	—
612	C₄×C₅×D₃	—	2	2	no	—
613	C₄×C₅×D₃	—	2	2	no	—
614	C₄×C₅×D₃	—	2	2	no	—
615	C₄×C₅×D₃	—	2	2	no	—
616	C₅×Dic₆	—	2	2	no	—
617	C₃×C₂²⋊D₅	—	2	2	no	—
618	C₃×C₂²⋊D₅	—	2	2	no	—
619	C₂×C₃×Dic₅	—	2	2	no	—
620	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
621	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
622	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
623	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
624	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
626	C₃×D₂₀	—	2	2	no	—
627	C₃×C₄×D₅	—	2	2	no	—
628	C₃×C₄×D₅	—	2	2	no	—
629	C₃×C₄×D₅	—	2	2	no	—
630	C₃×C₄×D₅	—	2	2	no	—
631	C₃×Dic₁₀	—	2	2	no	—
632	#1204	—	2	2	no	—
633	#1204	—	2	2	no	—
634	#1204	—	2	2	no	—
635	#1203	—	2	2	no	—
636	#1203	—	2	2	no	—
637	#1203	—	2	2	no	—
638	#1202	—	2	2	no	—
639	#1202	—	2	2	no	—
640	#1202	—	2	2	no	—
641	#1201	—	2	2	no	—
642	#1201	—	2	2	no	—
643	#1201	—	2	2	no	—
644	#1200	—	2	2	no	—
645	#1200	—	2	2	no	—
646	#1200	—	2	2	no	—
647	#1200	—	2	2	no	—
648	#1200	#41	1	4	yes	complemented
649	D₃×Dic₅	—	2	2	no	—
650	D₃×Dic₅	—	2	2	no	—
651	D₃×Dic₅	—	2	2	no	—
652	D₃×Dic₅	—	2	2	no	—
653	D₃×Dic₅	#41	1	4	yes	complemented
654	D₅×Dic₃	—	2	2	no	—
655	D₅×Dic₃	—	2	2	no	—
656	D₅×Dic₃	—	2	2	no	—
657	D₅×Dic₃	—	2	2	no	—
658	D₅×Dic₃	#41	1	4	yes	complemented
659	C₂×#239	—	5	1	no	—
660	C₂×#237	—	5	1	no	—
661	C₂×#237	—	5	1	no	—
662	C₂×#237	—	5	1	no	—
663	C₂×#235	—	5	1	no	—
664	C₂×#235	—	5	1	no	—
665	C₂²×C₄×D₃	—	5	1	no	—
666	C₂²×C₄×D₃	—	5	1	no	—
667	C₂²×C₄×D₃	—	5	1	no	—
668	C₃×#126	—	5	1	no	—
669	C₃×#126	C₂×D₅	1	1	yes	characteristic, complemented
670	C₃×#125	—	5	1	no	—
671	C₃×#124	—	5	1	no	—
672	C₃×#123	—	5	1	no	—
673	C₃×#123	—	5	1	no	—
674	C₃×C₂²⋊Q₈	—	5	1	no	—
675	C₃×#121	—	5	1	no	—
676	C₃×C₄×Q₈	—	5	1	no	—
677	C₃×C₄×D₄	—	5	1	no	—
678	C₃×C₄×D₄	—	5	1	no	—
679	C₃×C₄×D₄	—	5	1	no	—
680	C₃×#117	—	5	1	no	—
681	C₃×#117	—	5	1	no	—
682	C₂×C₃×C₄²	—	5	1	no	—
683	#946	—	5	1	no	—
684	Q₈×Dic₃	—	5	1	no	—
685	#944	—	5	1	no	—
686	#940	—	5	1	no	—
687	#939	—	5	1	no	—
688	#939	—	5	1	no	—
689	#938	—	5	1	no	—
690	#937	—	5	1	no	—
691	#937	—	5	1	no	—
692	D₄×Dic₃	—	5	1	no	—
693	D₄×Dic₃	—	5	1	no	—
694	D₄×Dic₃	—	5	1	no	—
695	#930	—	5	1	no	—
696	#929	—	5	1	no	—
697	#929	—	5	1	no	—
698	C₄×#67	—	5	1	no	—
699	C₄×#67	—	5	1	no	—
700	C₄×#67	—	5	1	no	—
701	C₄×#67	—	5	1	no	—
702	C₄×#67	—	5	1	no	—
703	C₄×#67	—	5	1	no	—
704	#924	—	5	1	no	—
705	C₂×C₄×Dic₃	—	5	1	no	—
706	C₂×C₄×Dic₃	—	5	1	no	—
707	C₂×C₄×Dic₃	—	5	1	no	—
708	C₂×C₄×Dic₃	—	5	1	no	—
709	C₂×C₄×Dic₃	—	5	1	no	—
710	#898	—	5	1	no	—
711	#898	—	5	1	no	—
712	#897	—	5	1	no	—
713	#896	—	5	1	no	—
714	#896	—	5	1	no	—
715	#896	—	5	1	no	—
716	#896	—	5	1	no	—
717	#896	—	5	1	no	—
718	#896	C₂×D₅	1	1	yes	characteristic
719	#895	—	5	1	no	—
720	#894	—	5	1	no	—
721	#894	—	5	1	no	—
722	#894	—	5	1	no	—
723	#894	C₂×D₅	1	1	yes	characteristic
724	#893	—	5	1	no	—
725	#893	—	5	1	no	—
726	#893	—	5	1	no	—
727	#893	—	5	1	no	—
728	#893	—	5	1	no	—
729	#893	—	5	1	no	—
730	#893	C₂×D₅	1	1	yes	characteristic
731	#892	—	5	1	no	—
732	#892	—	5	1	no	—
733	#892	—	5	1	no	—
734	#892	—	5	1	no	—
735	#892	—	5	1	no	—
736	#892	C₂×D₅	1	1	yes	characteristic, complemented
737	#889	—	5	1	no	—
738	#889	—	5	1	no	—
739	#889	—	5	1	no	—
740	#889	C₂×D₅	1	1	yes	characteristic, complemented
741	#888	—	5	1	no	—
742	#888	—	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	C₂×D₅	1	1	yes	characteristic, complemented
750	#885	—	5	1	no	—
751	#885	—	5	1	no	—
752	#885	—	5	1	no	—
753	#885	C₂×D₅	1	1	yes	characteristic, complemented
754	#884	—	5	1	no	—
755	#884	—	5	1	no	—
756	#884	—	5	1	no	—
757	#884	—	5	1	no	—
758	#884	—	5	1	no	—
759	#884	C₂×D₅	1	1	yes	characteristic
760	#883	—	5	1	no	—
761	#883	—	5	1	no	—
762	#883	—	5	1	no	—
763	#883	C₂×D₅	1	1	yes	characteristic
764	#882	—	5	1	no	—
765	#882	—	5	1	no	—
766	#67⋊C₄	—	5	1	no	—
767	#67⋊C₄	—	5	1	no	—
768	#67⋊C₄	—	5	1	no	—
769	#67⋊C₄	—	5	1	no	—
770	#67⋊C₄	—	5	1	no	—
771	#67⋊C₄	—	5	1	no	—
772	#67⋊C₄	—	5	1	no	—
773	#67⋊C₄	—	5	1	no	—
774	#67⋊C₄	—	5	1	no	—
775	#67⋊C₄	—	5	1	no	—
776	#67⋊C₄	—	5	1	no	—
777	#67⋊C₄	—	5	1	no	—
778	#67⋊C₄	C₂×D₅	1	1	yes	characteristic
779	#67⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
780	#879	—	5	1	no	—
781	#879	—	5	1	no	—
782	#878	—	5	1	no	—
783	#878	—	5	1	no	—
784	#877	—	5	1	no	—
785	#877	—	5	1	no	—
786	#877	—	5	1	no	—
787	#877	—	5	1	no	—
788	#877	—	5	1	no	—
789	#877	C₂×D₅	1	1	yes	characteristic, complemented
790	#876	—	5	1	no	—
791	#876	C₂×D₅	1	1	yes	characteristic, complemented
792	#875	—	5	1	no	—
793	C₄×D₁₂	—	5	1	no	—
794	C₄×D₁₂	—	5	1	no	—
795	C₄×D₁₂	—	5	1	no	—
796	#872	—	5	1	no	—
797	#872	—	5	1	no	—
798	#872	—	5	1	no	—
799	#872	—	5	1	no	—
800	C₄²×D₃	—	5	1	no	—
801	C₄²×D₃	—	5	1	no	—
802	C₄²×D₃	—	5	1	no	—
803	C₄²×D₃	—	5	1	no	—
804	C₄²×D₃	—	5	1	no	—
805	C₄²×D₃	—	5	1	no	—
806	C₄²×D₃	—	5	1	no	—
807	C₄²×D₃	—	5	1	no	—
808	C₄²×D₃	—	5	1	no	—
809	C₄²×D₃	C₂×D₅	1	1	yes	characteristic
810	#870	—	5	1	no	—
811	C₄×Dic₆	—	5	1	no	—
812	C₄×Dic₆	—	5	1	no	—
813	C₄×Dic₆	—	5	1	no	—
814	C₂³×D₅	—	3	1	no	—
815	C₂×C₅×Q₈	—	3	1	no	—
816	C₂×C₅×D₄	—	3	1	no	—
817	C₂×C₅×D₄	—	3	1	no	—
818	C₂×C₅×D₄	—	3	1	no	—
819	C₂²×C₄×C₅	—	3	1	no	—
820	C₂²×C₄×C₅	—	3	1	no	—
821	C₂²×C₄×C₅	—	3	1	no	—
822	C₂²×C₄×C₅	—	3	1	no	—
823	C₂²×C₄×C₅	—	3	1	no	—
824	C₂×C₂²⋊D₅	—	3	1	no	—
825	C₂×C₂²⋊D₅	—	3	1	no	—
826	C₂×C₂²⋊D₅	—	3	1	no	—
827	C₂×C₂²⋊D₅	—	3	1	no	—
828	C₂×C₂²⋊D₅	—	3	1	no	—
829	C₂×C₂²⋊D₅	—	3	1	no	—
830	C₂×C₂²⋊D₅	—	3	1	no	—
831	C₂×C₂²⋊D₅	—	3	1	no	—
832	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
833	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
834	C₂²×Dic₅	—	3	1	no	—
835	C₂²×Dic₅	—	3	1	no	—
836	C₂²×Dic₅	—	3	1	no	—
837	C₂²×Dic₅	—	3	1	no	—
838	C₂²×Dic₅	—	3	1	no	—
839	C₂²×Dic₅	—	3	1	no	—
840	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
841	#713	—	6	4	no	—
842	#711	—	6	4	no	—
843	#711	—	6	4	no	—
844	#711	—	6	4	no	—
845	#709	—	6	4	no	—
846	#709	—	6	4	no	—
847	C₂×D₂₀	—	3	1	no	—
848	C₂×D₂₀	—	3	1	no	—
849	C₂×D₂₀	—	3	1	no	—
850	C₂×D₂₀	—	3	1	no	—
851	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
852	C₂×C₄×D₅	—	3	1	no	—
853	C₂×C₄×D₅	—	3	1	no	—
854	C₂×C₄×D₅	—	3	1	no	—
855	C₂×C₄×D₅	—	3	1	no	—
856	C₂×C₄×D₅	—	3	1	no	—
857	C₂×C₄×D₅	—	3	1	no	—
858	C₂×C₄×D₅	—	3	1	no	—
859	C₂×C₄×D₅	—	3	1	no	—
860	C₂×C₄×D₅	—	3	1	no	—
861	C₂×C₄×D₅	—	3	1	no	—
862	C₂×C₄×D₅	—	3	1	no	—
863	C₂×C₄×D₅	—	3	1	no	—
864	C₂×C₄×D₅	—	3	1	no	—
865	C₂×C₄×D₅	—	3	1	no	—
866	C₂×C₄×D₅	—	6	4	no	—
867	C₂×C₄×D₅	—	6	4	no	—
868	C₂×C₄×D₅	—	6	4	no	—
869	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
870	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
871	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
872	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
873	C₂×Dic₁₀	—	3	1	no	—
874	C₂×Dic₁₀	—	3	1	no	—
875	C₂×Dic₁₀	—	3	1	no	—
876	C₂×Dic₁₀	—	3	1	no	—
877	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
878	C₅×C₄⋊C₄	—	3	1	no	—
879	C₅×C₄⋊C₄	—	3	1	no	—
880	C₅×C₄⋊C₄	—	3	1	no	—
881	C₅×C₄⋊C₄	—	3	1	no	—
882	C₅×C₄⋊C₄	—	3	1	no	—
883	C₅×C₄⋊C₄	—	3	1	no	—
884	C₅×C₄⋊C₄	—	3	1	no	—
885	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
886	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
887	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
888	C₅×C₂²⋊C₄	—	3	1	no	—
889	C₅×C₂²⋊C₄	—	3	1	no	—
890	C₅×C₂²⋊C₄	—	3	1	no	—
891	C₅×C₂²⋊C₄	—	3	1	no	—
892	C₅×C₂²⋊C₄	—	3	1	no	—
893	C₅×C₂²⋊C₄	—	3	1	no	—
894	C₅×C₂²⋊C₄	—	3	1	no	—
895	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
896	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
897	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
898	C₄²×C₅	—	3	1	no	—
899	C₄²×C₅	—	3	1	no	—
900	C₄²×C₅	—	3	1	no	—
901	C₄²×C₅	—	3	1	no	—
902	C₄²×C₅	—	3	1	no	—
903	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
904	C₂²⋊Dic₅	—	3	1	no	—
905	C₂²⋊Dic₅	—	3	1	no	—
906	C₂²⋊Dic₅	—	3	1	no	—
907	C₂²⋊Dic₅	—	3	1	no	—
908	C₂²⋊Dic₅	—	3	1	no	—
909	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
910	#685	—	3	1	no	—
911	#685	—	3	1	no	—
912	#685	—	3	1	no	—
913	#685	—	3	1	no	—
914	#685	—	3	1	no	—
915	#685	—	3	1	no	—
916	#685	—	3	1	no	—
917	#685	—	3	1	no	—
918	#685	—	3	1	no	—
919	#685	—	3	1	no	—
920	#685	—	3	1	no	—
921	#685	—	3	1	no	—
922	#685	—	3	1	no	—
923	#685	—	3	1	no	—
924	#685	C₂²×D₃	1	1	yes	characteristic
925	#685	C₂²×D₃	1	1	yes	characteristic
926	#685	C₂²×D₃	1	1	yes	characteristic
927	#685	C₂²×D₃	1	1	yes	characteristic
928	#685	C₂²×D₃	1	1	yes	characteristic
929	#685	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	C₂²×D₃	1	1	yes	characteristic
936	#683	—	3	1	no	—
937	#683	—	3	1	no	—
938	#683	—	3	1	no	—
939	#683	—	3	1	no	—
940	#683	—	3	1	no	—
941	#683	—	3	1	no	—
942	#683	—	3	1	no	—
943	#683	—	3	1	no	—
944	#683	—	3	1	no	—
945	#683	—	3	1	no	—
946	#683	—	3	1	no	—
947	#683	—	3	1	no	—
948	#683	—	3	1	no	—
949	#683	—	3	1	no	—
950	#683	C₂²×D₃	1	1	yes	characteristic
951	#683	C₂²×D₃	1	1	yes	characteristic
952	#683	C₂²×D₃	1	1	yes	characteristic
953	#683	C₂²×D₃	1	1	yes	characteristic
954	#683	C₂²×D₃	1	1	yes	characteristic
955	#683	C₂²×D₃	1	1	yes	characteristic
956	C₄×Dic₅	—	3	1	no	—
957	C₄×Dic₅	—	3	1	no	—
958	C₄×Dic₅	—	3	1	no	—
959	C₄×Dic₅	—	3	1	no	—
960	C₄×Dic₅	—	3	1	no	—
961	C₄×Dic₅	—	3	1	no	—
962	C₄×Dic₅	—	3	1	no	—
963	C₄×Dic₅	—	3	1	no	—
964	C₄×Dic₅	—	3	1	no	—
965	C₄×Dic₅	—	3	1	no	—
966	C₄×Dic₅	—	3	1	no	—
967	C₄×Dic₅	—	3	1	no	—
968	C₄×Dic₅	—	3	1	no	—
969	C₄×Dic₅	—	3	1	no	—
970	C₄×Dic₅	—	3	1	no	—
971	C₄×Dic₅	—	3	1	no	—
972	C₄×Dic₅	—	3	1	no	—
973	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
974	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
975	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
976	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
977	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
978	#533	—	15	1	no	—
979	#533	—	15	1	no	—
980	#533	—	15	1	no	—
981	#532	—	15	1	no	—
982	#532	—	15	1	no	—
983	#532	—	15	1	no	—
984	#529	—	3	1	no	—
985	#529	—	5	1	no	—
986	#529	—	15	1	no	—
987	#529	—	15	1	no	—
988	#529	—	15	1	no	—
989	#529	—	15	1	no	—
990	#529	—	15	1	no	—
991	#529	—	15	1	no	—
992	#529	—	15	1	no	—
993	#529	—	15	1	no	—
994	#529	—	15	1	no	—
995	#529	—	15	1	no	—
996	#525	—	15	1	no	—
997	#525	—	15	1	no	—
998	#525	—	15	1	no	—
999	#525	—	15	1	no	—
1000	#525	—	15	1	no	—
1001	#525	—	15	1	no	—
1002	C₄×#41	—	15	1	no	—
1003	C₄×#41	—	15	1	no	—
1004	C₄×#41	—	15	1	no	—
1005	C₄×#41	—	15	1	no	—
1006	C₄×#41	—	15	1	no	—
1007	C₄×#41	—	15	1	no	—
1008	C₂²×C₄²	—	15	1	no	—
1009	C₂²×C₃×C₅	—	2	1	no	—
1010	C₂²×C₃×C₅	—	2	1	no	—
1011	C₂²×C₃×C₅	—	2	1	no	—
1012	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1013	C₂×D₁₅	—	2	1	no	—
1014	C₂×D₁₅	—	2	1	no	—
1015	C₂×D₁₅	—	2	1	no	—
1016	C₂×D₁₅	—	2	1	no	—
1017	C₂×D₁₅	—	2	1	no	—
1018	C₂×D₁₅	C₂×#41	1	2	yes	—
1019	C₂×C₅×D₃	—	2	1	no	—
1020	C₂×C₅×D₃	—	2	1	no	—
1021	C₂×C₅×D₃	—	2	1	no	—
1022	C₂×C₅×D₃	—	2	1	no	—
1023	C₂×C₅×D₃	—	2	1	no	—
1024	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1025	C₂×C₃×D₅	—	2	1	no	—
1026	C₂×C₃×D₅	—	2	1	no	—
1027	C₂×C₃×D₅	—	2	1	no	—
1028	C₂×C₃×D₅	—	2	1	no	—
1029	C₂×C₃×D₅	—	2	1	no	—
1030	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1031	D₃×D₅	—	2	8	no	—
1032	C₃×C₄×C₅	—	2	1	no	—
1033	C₃×C₄×C₅	—	2	1	no	—
1034	C₃×C₄×C₅	—	2	1	no	—
1035	C₃×C₄×C₅	—	2	1	no	—
1036	C₃×C₄×C₅	—	2	1	no	—
1037	C₃×C₄×C₅	—	2	1	no	—
1038	Dic₁₅	—	2	1	no	—
1039	Dic₁₅	—	2	1	no	—
1040	Dic₁₅	—	2	1	no	—
1041	Dic₁₅	—	2	1	no	—
1042	Dic₁₅	C₂×#41	1	2	yes	—
1043	Dic₁₅	C₂×#41	1	2	yes	—
1044	C₃×Dic₅	—	2	1	no	—
1045	C₃×Dic₅	—	2	1	no	—
1046	C₃×Dic₅	—	2	1	no	—
1047	C₃×Dic₅	—	2	1	no	—
1048	C₃×Dic₅	C₂×#41	1	2	yes	—
1049	C₃×Dic₅	C₂×#41	1	2	yes	—
1050	C₅×Dic₃	—	2	1	no	—
1051	C₅×Dic₃	—	2	1	no	—
1052	C₅×Dic₃	—	2	1	no	—
1053	C₅×Dic₃	—	2	1	no	—
1054	C₅×Dic₃	C₂×#41	1	2	yes	—
1055	C₅×Dic₃	C₂×#41	1	2	yes	—
1056	C₂³×D₃	—	5	1	no	—
1057	C₂×C₃×Q₈	—	5	1	no	—
1058	C₂×C₃×D₄	—	5	1	no	—
1059	C₂×C₃×D₄	—	5	1	no	—
1060	C₂×C₃×D₄	—	5	1	no	—
1061	C₂²×C₃×C₄	—	5	1	no	—
1062	C₂²×C₃×C₄	—	5	1	no	—
1063	C₂²×C₃×C₄	—	5	1	no	—
1064	C₂²×C₃×C₄	—	5	1	no	—
1065	C₂²×C₃×C₄	—	5	1	no	—
1066	C₂×#67	—	5	1	no	—
1067	C₂×#67	—	5	1	no	—
1068	C₂×#67	—	5	1	no	—
1069	C₂×#67	—	5	1	no	—
1070	C₂×#67	—	5	1	no	—
1071	C₂×#67	—	5	1	no	—
1072	C₂×#67	—	5	1	no	—
1073	C₂×#67	—	5	1	no	—
1074	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1075	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1076	C₂²×Dic₃	—	5	1	no	—
1077	C₂²×Dic₃	—	5	1	no	—
1078	C₂²×Dic₃	—	5	1	no	—
1079	C₂²×Dic₃	—	5	1	no	—
1080	C₂²×Dic₃	—	5	1	no	—
1081	C₂²×Dic₃	—	5	1	no	—
1082	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1083	#239	—	10	4	no	—
1084	#237	—	10	4	no	—
1085	#237	—	10	4	no	—
1086	#237	—	10	4	no	—
1087	#235	—	10	4	no	—
1088	#235	—	10	4	no	—
1089	C₂×D₁₂	—	5	1	no	—
1090	C₂×D₁₂	—	5	1	no	—
1091	C₂×D₁₂	—	5	1	no	—
1092	C₂×D₁₂	—	5	1	no	—
1093	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1094	C₂×C₄×D₃	—	5	1	no	—
1095	C₂×C₄×D₃	—	5	1	no	—
1096	C₂×C₄×D₃	—	5	1	no	—
1097	C₂×C₄×D₃	—	5	1	no	—
1098	C₂×C₄×D₃	—	5	1	no	—
1099	C₂×C₄×D₃	—	5	1	no	—
1100	C₂×C₄×D₃	—	5	1	no	—
1101	C₂×C₄×D₃	—	5	1	no	—
1102	C₂×C₄×D₃	—	5	1	no	—
1103	C₂×C₄×D₃	—	5	1	no	—
1104	C₂×C₄×D₃	—	5	1	no	—
1105	C₂×C₄×D₃	—	5	1	no	—
1106	C₂×C₄×D₃	—	5	1	no	—
1107	C₂×C₄×D₃	—	5	1	no	—
1108	C₂×C₄×D₃	—	10	4	no	—
1109	C₂×C₄×D₃	—	10	4	no	—
1110	C₂×C₄×D₃	—	10	4	no	—
1111	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1112	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1113	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1114	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1115	C₂×Dic₆	—	5	1	no	—
1116	C₂×Dic₆	—	5	1	no	—
1117	C₂×Dic₆	—	5	1	no	—
1118	C₂×Dic₆	—	5	1	no	—
1119	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1120	C₃×C₄⋊C₄	—	5	1	no	—
1121	C₃×C₄⋊C₄	—	5	1	no	—
1122	C₃×C₄⋊C₄	—	5	1	no	—
1123	C₃×C₄⋊C₄	—	5	1	no	—
1124	C₃×C₄⋊C₄	—	5	1	no	—
1125	C₃×C₄⋊C₄	—	5	1	no	—
1126	C₃×C₄⋊C₄	—	5	1	no	—
1127	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1128	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1129	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1130	C₃×C₂²⋊C₄	—	5	1	no	—
1131	C₃×C₂²⋊C₄	—	5	1	no	—
1132	C₃×C₂²⋊C₄	—	5	1	no	—
1133	C₃×C₂²⋊C₄	—	5	1	no	—
1134	C₃×C₂²⋊C₄	—	5	1	no	—
1135	C₃×C₂²⋊C₄	—	5	1	no	—
1136	C₃×C₂²⋊C₄	—	5	1	no	—
1137	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1138	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1139	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1140	C₃×C₄²	—	5	1	no	—
1141	C₃×C₄²	—	5	1	no	—
1142	C₃×C₄²	—	5	1	no	—
1143	C₃×C₄²	—	5	1	no	—
1144	C₃×C₄²	—	5	1	no	—
1145	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1146	#217	—	5	1	no	—
1147	#217	—	5	1	no	—
1148	#217	—	5	1	no	—
1149	#217	—	5	1	no	—
1150	#217	—	5	1	no	—
1151	#217	C₂²×D₅	1	1	yes	characteristic
1152	(C₂×D₃)⋊C₄	—	5	1	no	—
1153	(C₂×D₃)⋊C₄	—	5	1	no	—
1154	(C₂×D₃)⋊C₄	—	5	1	no	—
1155	(C₂×D₃)⋊C₄	—	5	1	no	—
1156	(C₂×D₃)⋊C₄	—	5	1	no	—
1157	(C₂×D₃)⋊C₄	—	5	1	no	—
1158	(C₂×D₃)⋊C₄	—	5	1	no	—
1159	(C₂×D₃)⋊C₄	—	5	1	no	—
1160	(C₂×D₃)⋊C₄	—	5	1	no	—
1161	(C₂×D₃)⋊C₄	—	5	1	no	—
1162	(C₂×D₃)⋊C₄	—	5	1	no	—
1163	(C₂×D₃)⋊C₄	—	5	1	no	—
1164	(C₂×D₃)⋊C₄	—	5	1	no	—
1165	(C₂×D₃)⋊C₄	—	5	1	no	—
1166	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1167	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1168	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1169	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1170	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1171	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1172	C₄⋊Dic₃	—	5	1	no	—
1173	C₄⋊Dic₃	—	5	1	no	—
1174	C₄⋊Dic₃	—	5	1	no	—
1175	C₄⋊Dic₃	—	5	1	no	—
1176	C₄⋊Dic₃	—	5	1	no	—
1177	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1178	Dic₃⋊C₄	—	5	1	no	—
1179	Dic₃⋊C₄	—	5	1	no	—
1180	Dic₃⋊C₄	—	5	1	no	—
1181	Dic₃⋊C₄	—	5	1	no	—
1182	Dic₃⋊C₄	—	5	1	no	—
1183	Dic₃⋊C₄	—	5	1	no	—
1184	Dic₃⋊C₄	—	5	1	no	—
1185	Dic₃⋊C₄	—	5	1	no	—
1186	Dic₃⋊C₄	—	5	1	no	—
1187	Dic₃⋊C₄	—	5	1	no	—
1188	Dic₃⋊C₄	—	5	1	no	—
1189	Dic₃⋊C₄	—	5	1	no	—
1190	Dic₃⋊C₄	—	5	1	no	—
1191	Dic₃⋊C₄	—	5	1	no	—
1192	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1193	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1194	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1195	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1196	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1197	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1198	C₄×Dic₃	—	5	1	no	—
1199	C₄×Dic₃	—	5	1	no	—
1200	C₄×Dic₃	—	5	1	no	—
1201	C₄×Dic₃	—	5	1	no	—
1202	C₄×Dic₃	—	5	1	no	—
1203	C₄×Dic₃	—	5	1	no	—
1204	C₄×Dic₃	—	5	1	no	—
1205	C₄×Dic₃	—	5	1	no	—
1206	C₄×Dic₃	—	5	1	no	—
1207	C₄×Dic₃	—	5	1	no	—
1208	C₄×Dic₃	—	5	1	no	—
1209	C₄×Dic₃	—	5	1	no	—
1210	C₄×Dic₃	—	5	1	no	—
1211	C₄×Dic₃	—	5	1	no	—
1212	C₄×Dic₃	—	5	1	no	—
1213	C₄×Dic₃	—	5	1	no	—
1214	C₄×Dic₃	—	5	1	no	—
1215	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1216	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1217	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1218	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1219	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1220	C₂³×C₅	—	3	1	no	—
1221	C₂³×C₅	—	3	1	no	—
1222	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1223	C₂²×D₅	—	3	1	no	—
1224	C₂²×D₅	—	3	1	no	—
1225	C₂²×D₅	—	6	2	no	—
1226	C₂²×D₅	—	6	2	no	—
1227	C₂²×D₅	—	6	2	no	—
1228	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1229	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1230	C₅×Q₈	—	6	2	no	—
1231	C₅×D₄	—	6	2	no	—
1232	C₅×D₄	—	6	2	no	—
1233	C₅×D₄	—	6	2	no	—
1234	C₂×C₄×C₅	—	3	1	no	—
1235	C₂×C₄×C₅	—	3	1	no	—
1236	C₂×C₄×C₅	—	3	1	no	—
1237	C₂×C₄×C₅	—	3	1	no	—
1238	C₂×C₄×C₅	—	3	1	no	—
1239	C₂×C₄×C₅	—	3	1	no	—
1240	C₂×C₄×C₅	—	6	2	no	—
1241	C₂×C₄×C₅	—	6	2	no	—
1242	C₂×C₄×C₅	—	6	2	no	—
1243	C₂×C₄×C₅	—	6	2	no	—
1244	C₂×C₄×C₅	—	6	2	no	—
1245	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1246	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1247	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1248	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1249	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1250	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1251	C₂²⋊D₅	—	2	2	no	—
1252	C₂²⋊D₅	—	2	2	no	—
1253	C₂²⋊D₅	—	6	2	no	—
1254	C₂²⋊D₅	—	6	2	no	—
1255	C₂²⋊D₅	—	6	2	no	—
1256	C₂²⋊D₅	—	6	2	no	—
1257	C₂²⋊D₅	—	6	2	no	—
1258	C₂²⋊D₅	—	6	2	no	—
1259	C₂²⋊D₅	—	6	2	no	—
1260	C₂²⋊D₅	—	6	2	no	—
1261	C₂×Dic₅	—	2	2	no	—
1262	C₂×Dic₅	—	3	1	no	—
1263	C₂×Dic₅	—	3	1	no	—
1264	C₂×Dic₅	—	3	4	no	—
1265	C₂×Dic₅	—	3	1	no	—
1266	C₂×Dic₅	—	3	1	no	—
1267	C₂×Dic₅	—	3	1	no	—
1268	C₂×Dic₅	—	3	1	no	—
1269	C₂×Dic₅	—	6	2	no	—
1270	C₂×Dic₅	—	6	2	no	—
1271	C₂×Dic₅	—	6	2	no	—
1272	C₂×Dic₅	—	6	2	no	—
1273	C₂×Dic₅	—	6	2	no	—
1274	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1275	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1276	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1277	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1278	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1279	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1280	D₂₀	—	2	2	no	—
1281	D₂₀	—	6	2	no	—
1282	D₂₀	—	6	2	no	—
1283	D₂₀	—	6	2	no	—
1284	D₂₀	—	6	2	no	—
1285	C₄×D₅	—	2	2	no	—
1286	C₄×D₅	—	2	2	no	—
1287	C₄×D₅	—	2	2	no	—
1288	C₄×D₅	—	2	2	no	—
1289	C₄×D₅	—	3	4	no	—
1290	C₄×D₅	—	3	4	no	—
1291	C₄×D₅	—	6	2	no	—
1292	C₄×D₅	—	6	2	no	—
1293	C₄×D₅	—	6	2	no	—
1294	C₄×D₅	—	6	2	no	—
1295	C₄×D₅	—	6	2	no	—
1296	C₄×D₅	—	6	2	no	—
1297	C₄×D₅	—	6	2	no	—
1298	C₄×D₅	—	6	2	no	—
1299	C₄×D₅	—	6	2	no	—
1300	C₄×D₅	—	6	2	no	—
1301	C₄×D₅	—	6	2	no	—
1302	C₄×D₅	—	6	2	no	—
1303	Dic₁₀	—	2	2	no	—
1304	Dic₁₀	—	6	2	no	—
1305	Dic₁₀	—	6	2	no	—
1306	Dic₁₀	—	6	2	no	—
1307	Dic₁₀	—	6	2	no	—
1308	C₂×#41	—	15	1	no	—
1309	C₂×#41	—	15	1	no	—
1310	C₂×#41	—	15	1	no	—
1311	C₂×#41	—	15	1	no	—
1312	C₂×#41	—	15	1	no	—
1313	C₂×#41	—	15	1	no	—
1314	C₂³×C₄	—	15	1	no	—
1315	C₂³×C₄	—	15	1	no	—
1316	C₂³×C₄	—	15	1	no	—
1317	C₄⋊Q₈	—	15	1	no	—
1318	C₄⋊Q₈	—	15	1	no	—
1319	C₄⋊Q₈	—	15	1	no	—
1320	#127	—	15	1	no	—
1321	#126	—	3	1	no	—
1322	#126	—	5	1	no	—
1323	#126	—	15	1	no	—
1324	#126	—	15	1	no	—
1325	#126	—	15	1	no	—
1326	#126	—	15	1	no	—
1327	#126	—	15	1	no	—
1328	#126	D₃×D₅	1	1	yes	characteristic, complemented
1329	#125	—	3	1	no	—
1330	#125	—	5	1	no	—
1331	#125	—	15	1	no	—
1332	#125	—	15	1	no	—
1333	#125	—	15	1	no	—
1334	#125	—	15	1	no	—
1335	#124	—	3	1	no	—
1336	#124	—	5	1	no	—
1337	#124	—	15	1	no	—
1338	#124	—	15	1	no	—
1339	#124	—	15	1	no	—
1340	#124	—	15	1	no	—
1341	#123	—	3	1	no	—
1342	#123	—	3	1	no	—
1343	#123	—	5	1	no	—
1344	#123	—	5	1	no	—
1345	#123	—	15	1	no	—
1346	#123	—	15	1	no	—
1347	#123	—	15	1	no	—
1348	#123	—	15	1	no	—
1349	#123	—	15	1	no	—
1350	#123	—	15	1	no	—
1351	#123	—	15	1	no	—
1352	#123	—	15	1	no	—
1353	C₂²⋊Q₈	—	3	1	no	—
1354	C₂²⋊Q₈	—	5	1	no	—
1355	C₂²⋊Q₈	—	15	1	no	—
1356	C₂²⋊Q₈	—	15	1	no	—
1357	C₂²⋊Q₈	—	15	1	no	—
1358	C₂²⋊Q₈	—	15	1	no	—
1359	C₂²⋊Q₈	—	15	1	no	—
1360	C₂²⋊Q₈	—	15	1	no	—
1361	C₂²⋊Q₈	—	15	1	no	—
1362	C₂²⋊Q₈	—	15	1	no	—
1363	C₂²⋊Q₈	—	15	1	no	—
1364	C₂²⋊Q₈	—	15	1	no	—
1365	#121	—	3	1	no	—
1366	#121	—	5	1	no	—
1367	#121	—	15	1	no	—
1368	#121	—	15	1	no	—
1369	#121	—	15	1	no	—
1370	#121	—	15	1	no	—
1371	#121	—	15	1	no	—
1372	#121	—	15	1	no	—
1373	#121	—	15	1	no	—
1374	#121	—	15	1	no	—
1375	#121	—	15	1	no	—
1376	#121	—	15	1	no	—
1377	#120	—	15	1	no	—
1378	#120	—	15	1	no	—
1379	#120	—	15	1	no	—
1380	#120	—	15	1	no	—
1381	C₄×Q₈	—	3	1	no	—
1382	C₄×Q₈	—	5	1	no	—
1383	C₄×Q₈	—	15	1	no	—
1384	C₄×Q₈	—	15	1	no	—
1385	C₄×Q₈	—	15	1	no	—
1386	C₄×Q₈	—	15	1	no	—
1387	C₄×Q₈	—	15	1	no	—
1388	C₄×Q₈	—	15	1	no	—
1389	C₄×Q₈	—	15	1	no	—
1390	C₄×Q₈	—	15	1	no	—
1391	C₄×Q₈	—	15	1	no	—
1392	C₄×Q₈	—	15	1	no	—
1393	C₄×D₄	—	3	1	no	—
1394	C₄×D₄	—	3	1	no	—
1395	C₄×D₄	—	3	1	no	—
1396	C₄×D₄	—	5	1	no	—
1397	C₄×D₄	—	5	1	no	—
1398	C₄×D₄	—	5	1	no	—
1399	C₄×D₄	—	15	1	no	—
1400	C₄×D₄	—	15	1	no	—
1401	C₄×D₄	—	15	1	no	—
1402	C₄×D₄	—	15	1	no	—
1403	C₄×D₄	—	15	1	no	—
1404	C₄×D₄	—	15	1	no	—
1405	C₄×D₄	—	15	1	no	—
1406	C₄×D₄	—	15	1	no	—
1407	C₄×D₄	—	15	1	no	—
1408	C₄×D₄	—	15	1	no	—
1409	C₄×D₄	—	15	1	no	—
1410	C₄×D₄	—	15	1	no	—
1411	C₄×D₄	—	15	1	no	—
1412	C₄×D₄	—	15	1	no	—
1413	C₄×D₄	—	15	1	no	—
1414	C₄×D₄	—	15	1	no	—
1415	C₄×D₄	—	15	1	no	—
1416	C₄×D₄	—	15	1	no	—
1417	C₄×D₄	—	15	1	no	—
1418	C₄×D₄	—	15	1	no	—
1419	C₄×D₄	—	15	1	no	—
1420	C₄×D₄	—	15	1	no	—
1421	C₄×D₄	—	15	1	no	—
1422	C₄×D₄	—	15	1	no	—
1423	C₄×D₄	—	15	1	no	—
1424	C₄×D₄	—	15	1	no	—
1425	C₄×D₄	—	15	1	no	—
1426	C₄×D₄	—	15	1	no	—
1427	C₄×D₄	—	15	1	no	—
1428	C₄×D₄	—	15	1	no	—
1429	#117	—	3	1	no	—
1430	#117	—	3	1	no	—
1431	#117	—	5	1	no	—
1432	#117	—	5	1	no	—
1433	#117	—	15	1	no	—
1434	#117	—	15	1	no	—
1435	#117	—	15	1	no	—
1436	#117	—	15	1	no	—
1437	#117	—	15	1	no	—
1438	#117	—	15	1	no	—
1439	#117	—	15	1	no	—
1440	#117	—	15	1	no	—
1441	#117	—	15	1	no	—
1442	#117	—	15	1	no	—
1443	#117	—	15	1	no	—
1444	#117	—	15	1	no	—
1445	#117	—	15	1	no	—
1446	#117	—	15	1	no	—
1447	C₂×C₄²	—	3	1	no	—
1448	C₂×C₄²	—	5	1	no	—
1449	C₂×C₄²	—	15	1	no	—
1450	C₂×C₄²	—	15	1	no	—
1451	C₂×C₄²	—	15	1	no	—
1452	C₂×C₄²	—	15	1	no	—
1453	C₂×C₄²	—	15	1	no	—
1454	C₂×C₄²	—	15	1	no	—
1455	C₂×C₄²	—	15	1	no	—
1456	C₂×C₄²	—	15	1	no	—
1457	C₂×C₄²	—	15	1	no	—
1458	C₂×C₄²	—	15	1	no	—
1459	C₂×C₄²	—	15	1	no	—
1460	C₂×C₄²	—	15	1	no	—
1461	C₂×C₄²	—	15	1	no	—
1462	C₂×C₄²	—	15	1	no	—
1463	C₂×C₃×C₅	—	4	1	no	—
1464	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1465	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1466	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1467	D₁₅	—	2	2	no	—
1468	D₁₅	—	4	1	no	—
1469	C₃×D₅	—	2	2	no	—
1470	C₃×D₅	—	4	1	no	—
1471	C₅×D₃	—	2	2	no	—
1472	C₅×D₃	—	4	1	no	—
1473	C₂³×C₃	—	5	1	no	—
1474	C₂³×C₃	—	5	1	no	—
1475	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1476	C₂²×D₃	—	5	1	no	—
1477	C₂²×D₃	—	5	1	no	—
1478	C₂²×D₃	—	10	2	no	—
1479	C₂²×D₃	—	10	2	no	—
1480	C₂²×D₃	—	10	2	no	—
1481	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1482	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1483	C₃×Q₈	—	10	2	no	—
1484	C₃×D₄	—	10	2	no	—
1485	C₃×D₄	—	10	2	no	—
1486	C₃×D₄	—	10	2	no	—
1487	C₂×C₃×C₄	—	5	1	no	—
1488	C₂×C₃×C₄	—	5	1	no	—
1489	C₂×C₃×C₄	—	5	1	no	—
1490	C₂×C₃×C₄	—	5	1	no	—
1491	C₂×C₃×C₄	—	5	1	no	—
1492	C₂×C₃×C₄	—	5	1	no	—
1493	C₂×C₃×C₄	—	10	2	no	—
1494	C₂×C₃×C₄	—	10	2	no	—
1495	C₂×C₃×C₄	—	10	2	no	—
1496	C₂×C₃×C₄	—	10	2	no	—
1497	C₂×C₃×C₄	—	10	2	no	—
1498	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1499	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1500	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1501	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1502	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1503	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1504	#67	—	2	2	no	—
1505	#67	—	2	2	no	—
1506	#67	—	10	2	no	—
1507	#67	—	10	2	no	—
1508	#67	—	10	2	no	—
1509	#67	—	10	2	no	—
1510	#67	—	10	2	no	—
1511	#67	—	10	2	no	—
1512	#67	—	10	2	no	—
1513	#67	—	10	2	no	—
1514	C₂×Dic₃	—	2	2	no	—
1515	C₂×Dic₃	—	5	1	no	—
1516	C₂×Dic₃	—	5	1	no	—
1517	C₂×Dic₃	—	5	4	no	—
1518	C₂×Dic₃	—	5	1	no	—
1519	C₂×Dic₃	—	5	1	no	—
1520	C₂×Dic₃	—	5	1	no	—
1521	C₂×Dic₃	—	5	1	no	—
1522	C₂×Dic₃	—	10	2	no	—
1523	C₂×Dic₃	—	10	2	no	—
1524	C₂×Dic₃	—	10	2	no	—
1525	C₂×Dic₃	—	10	2	no	—
1526	C₂×Dic₃	—	10	2	no	—
1527	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1528	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1529	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1530	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1531	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1532	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1533	D₁₂	—	2	2	no	—
1534	D₁₂	—	10	2	no	—
1535	D₁₂	—	10	2	no	—
1536	D₁₂	—	10	2	no	—
1537	D₁₂	—	10	2	no	—
1538	C₄×D₃	—	2	2	no	—
1539	C₄×D₃	—	2	2	no	—
1540	C₄×D₃	—	2	2	no	—
1541	C₄×D₃	—	2	2	no	—
1542	C₄×D₃	—	5	4	no	—
1543	C₄×D₃	—	5	4	no	—
1544	C₄×D₃	—	10	2	no	—
1545	C₄×D₃	—	10	2	no	—
1546	C₄×D₃	—	10	2	no	—
1547	C₄×D₃	—	10	2	no	—
1548	C₄×D₃	—	10	2	no	—
1549	C₄×D₃	—	10	2	no	—
1550	C₄×D₃	—	10	2	no	—
1551	C₄×D₃	—	10	2	no	—
1552	C₄×D₃	—	10	2	no	—
1553	C₄×D₃	—	10	2	no	—
1554	C₄×D₃	—	10	2	no	—
1555	C₄×D₃	—	10	2	no	—
1556	Dic₆	—	2	2	no	—
1557	Dic₆	—	10	2	no	—
1558	Dic₆	—	10	2	no	—
1559	Dic₆	—	10	2	no	—
1560	Dic₆	—	10	2	no	—
1561	C₂²×C₅	—	2	1	no	—
1562	C₂²×C₅	—	2	1	no	—
1563	C₂²×C₅	—	2	1	no	—
1564	C₂²×C₅	—	3	2	no	—
1565	C₂²×C₅	—	6	1	no	—
1566	C₂²×C₅	—	6	1	no	—
1567	C₂²×C₅	—	6	1	no	—
1568	C₂²×C₅	—	6	1	no	—
1569	C₂²×C₅	—	6	1	no	—
1570	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1571	C₂×D₅	—	2	1	no	—
1572	C₂×D₅	—	2	1	no	—
1573	C₂×D₅	—	2	1	no	—
1574	C₂×D₅	—	2	1	no	—
1575	C₂×D₅	—	2	1	no	—
1576	C₂×D₅	—	3	2	no	—
1577	C₂×D₅	—	6	8	no	—
1578	C₂×D₅	—	6	1	no	—
1579	C₂×D₅	—	6	1	no	—
1580	C₂×D₅	—	6	1	no	—
1581	C₂×D₅	—	6	1	no	—
1582	C₂×D₅	—	6	1	no	—
1583	C₂×D₅	D₃×#41	1	2	yes	—
1584	C₄×C₅	—	2	1	no	—
1585	C₄×C₅	—	2	1	no	—
1586	C₄×C₅	—	2	1	no	—
1587	C₄×C₅	—	2	1	no	—
1588	C₄×C₅	—	2	1	no	—
1589	C₄×C₅	—	2	1	no	—
1590	C₄×C₅	—	3	2	no	—
1591	C₄×C₅	—	3	2	no	—
1592	C₄×C₅	—	6	1	no	—
1593	C₄×C₅	—	6	1	no	—
1594	C₄×C₅	—	6	1	no	—
1595	C₄×C₅	—	6	1	no	—
1596	Dic₅	—	2	1	no	—
1597	Dic₅	—	2	1	no	—
1598	Dic₅	—	2	1	no	—
1599	Dic₅	—	2	1	no	—
1600	Dic₅	—	3	2	no	—
1601	Dic₅	—	3	2	no	—
1602	Dic₅	—	6	1	no	—
1603	Dic₅	—	6	1	no	—
1604	Dic₅	—	6	1	no	—
1605	Dic₅	—	6	1	no	—
1606	Dic₅	D₃×#41	1	2	yes	—
1607	Dic₅	D₃×#41	1	2	yes	—
1608	C₂⁴	—	15	1	no	—
1609	#41	—	30	4	no	—
1610	#41	—	30	4	no	—
1611	#41	—	30	4	no	—
1612	#41	—	30	4	no	—
1613	#41	—	30	4	no	—
1614	#41	—	30	4	no	—
1615	C₂×Q₈	—	3	1	no	—
1616	C₂×Q₈	—	5	1	no	—
1617	C₂×Q₈	—	15	1	no	—
1618	C₂×Q₈	—	15	1	no	—
1619	C₂×Q₈	—	15	1	no	—
1620	C₂×Q₈	—	15	1	no	—
1621	C₂×D₄	—	3	1	no	—
1622	C₂×D₄	—	3	1	no	—
1623	C₂×D₄	—	3	1	no	—
1624	C₂×D₄	—	5	1	no	—
1625	C₂×D₄	—	5	1	no	—
1626	C₂×D₄	—	5	1	no	—
1627	C₂×D₄	—	15	1	no	—
1628	C₂×D₄	—	15	1	no	—
1629	C₂×D₄	—	15	1	no	—
1630	C₂×D₄	—	15	1	no	—
1631	C₂×D₄	—	15	1	no	—
1632	C₂×D₄	—	15	1	no	—
1633	C₂×D₄	—	15	1	no	—
1634	C₂×D₄	—	15	1	no	—
1635	C₂×D₄	—	15	1	no	—
1636	C₂×D₄	—	15	1	no	—
1637	C₂×D₄	—	15	1	no	—
1638	C₂×D₄	—	15	1	no	—
1639	C₂²×C₄	—	3	1	no	—
1640	C₂²×C₄	—	3	1	no	—
1641	C₂²×C₄	—	3	1	no	—
1642	C₂²×C₄	—	3	1	no	—
1643	C₂²×C₄	—	3	1	no	—
1644	C₂²×C₄	—	5	1	no	—
1645	C₂²×C₄	—	5	1	no	—
1646	C₂²×C₄	—	5	1	no	—
1647	C₂²×C₄	—	5	1	no	—
1648	C₂²×C₄	—	5	1	no	—
1649	C₂²×C₄	—	15	1	no	—
1650	C₂²×C₄	—	15	1	no	—
1651	C₂²×C₄	—	15	1	no	—
1652	C₂²×C₄	—	15	1	no	—
1653	C₂²×C₄	—	15	1	no	—
1654	C₂²×C₄	—	15	1	no	—
1655	C₂²×C₄	—	15	1	no	—
1656	C₂²×C₄	—	15	1	no	—
1657	C₂²×C₄	—	15	1	no	—
1658	C₂²×C₄	—	15	1	no	—
1659	C₂²×C₄	—	15	1	no	—
1660	C₂²×C₄	—	15	1	no	—
1661	C₂²×C₄	—	15	1	no	—
1662	C₂²×C₄	—	15	1	no	—
1663	C₂²×C₄	—	15	1	no	—
1664	C₂²×C₄	—	15	1	no	—
1665	C₂²×C₄	—	15	1	no	—
1666	C₂²×C₄	—	15	1	no	—
1667	C₂²×C₄	—	15	1	no	—
1668	C₂²×C₄	—	15	1	no	—
1669	C₂²×C₄	—	30	4	no	—
1670	C₂²×C₄	—	30	4	no	—
1671	C₂²×C₄	—	30	4	no	—
1672	C₄⋊C₄	—	3	1	no	—
1673	C₄⋊C₄	—	3	1	no	—
1674	C₄⋊C₄	—	3	1	no	—
1675	C₄⋊C₄	—	3	1	no	—
1676	C₄⋊C₄	—	3	1	no	—
1677	C₄⋊C₄	—	3	1	no	—
1678	C₄⋊C₄	—	3	1	no	—
1679	C₄⋊C₄	—	5	1	no	—
1680	C₄⋊C₄	—	5	1	no	—
1681	C₄⋊C₄	—	5	1	no	—
1682	C₄⋊C₄	—	5	1	no	—
1683	C₄⋊C₄	—	5	1	no	—
1684	C₄⋊C₄	—	5	1	no	—
1685	C₄⋊C₄	—	5	1	no	—
1686	C₄⋊C₄	—	15	1	no	—
1687	C₄⋊C₄	—	15	1	no	—
1688	C₄⋊C₄	—	15	1	no	—
1689	C₄⋊C₄	—	15	1	no	—
1690	C₄⋊C₄	—	15	1	no	—
1691	C₄⋊C₄	—	15	1	no	—
1692	C₄⋊C₄	—	15	1	no	—
1693	C₄⋊C₄	—	15	1	no	—
1694	C₄⋊C₄	—	15	1	no	—
1695	C₄⋊C₄	—	15	1	no	—
1696	C₄⋊C₄	—	15	1	no	—
1697	C₄⋊C₄	—	15	1	no	—
1698	C₄⋊C₄	—	15	1	no	—
1699	C₄⋊C₄	—	15	1	no	—
1700	C₄⋊C₄	—	15	1	no	—
1701	C₄⋊C₄	—	15	1	no	—
1702	C₄⋊C₄	—	15	1	no	—
1703	C₄⋊C₄	—	15	1	no	—
1704	C₄⋊C₄	—	15	1	no	—
1705	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1706	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1707	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1708	C₂²⋊C₄	—	3	1	no	—
1709	C₂²⋊C₄	—	3	1	no	—
1710	C₂²⋊C₄	—	3	1	no	—
1711	C₂²⋊C₄	—	3	1	no	—
1712	C₂²⋊C₄	—	3	1	no	—
1713	C₂²⋊C₄	—	3	1	no	—
1714	C₂²⋊C₄	—	3	1	no	—
1715	C₂²⋊C₄	—	5	1	no	—
1716	C₂²⋊C₄	—	5	1	no	—
1717	C₂²⋊C₄	—	5	1	no	—
1718	C₂²⋊C₄	—	5	1	no	—
1719	C₂²⋊C₄	—	5	1	no	—
1720	C₂²⋊C₄	—	5	1	no	—
1721	C₂²⋊C₄	—	5	1	no	—
1722	C₂²⋊C₄	—	15	1	no	—
1723	C₂²⋊C₄	—	15	1	no	—
1724	C₂²⋊C₄	—	15	1	no	—
1725	C₂²⋊C₄	—	15	1	no	—
1726	C₂²⋊C₄	—	15	1	no	—
1727	C₂²⋊C₄	—	15	1	no	—
1728	C₂²⋊C₄	—	15	1	no	—
1729	C₂²⋊C₄	—	15	1	no	—
1730	C₂²⋊C₄	—	15	1	no	—
1731	C₂²⋊C₄	—	15	1	no	—
1732	C₂²⋊C₄	—	15	1	no	—
1733	C₂²⋊C₄	—	15	1	no	—
1734	C₂²⋊C₄	—	15	1	no	—
1735	C₂²⋊C₄	—	15	1	no	—
1736	C₂²⋊C₄	—	15	1	no	—
1737	C₂²⋊C₄	—	15	1	no	—
1738	C₂²⋊C₄	—	15	1	no	—
1739	C₂²⋊C₄	—	15	1	no	—
1740	C₂²⋊C₄	—	15	1	no	—
1741	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1742	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1743	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1744	C₄²	—	3	1	no	—
1745	C₄²	—	3	1	no	—
1746	C₄²	—	3	1	no	—
1747	C₄²	—	3	1	no	—
1748	C₄²	—	3	1	no	—
1749	C₄²	—	5	1	no	—
1750	C₄²	—	5	1	no	—
1751	C₄²	—	5	1	no	—
1752	C₄²	—	5	1	no	—
1753	C₄²	—	5	1	no	—
1754	C₄²	—	15	1	no	—
1755	C₄²	—	15	1	no	—
1756	C₄²	—	15	1	no	—
1757	C₄²	—	15	1	no	—
1758	C₄²	—	15	1	no	—
1759	C₄²	—	15	1	no	—
1760	C₄²	—	15	1	no	—
1761	C₄²	—	15	1	no	—
1762	C₄²	—	15	1	no	—
1763	C₄²	—	15	1	no	—
1764	C₄²	—	15	1	no	—
1765	C₄²	—	15	1	no	—
1766	C₄²	—	15	1	no	—
1767	C₄²	—	15	1	no	—
1768	C₄²	—	15	1	no	—
1769	C₄²	—	15	1	no	—
1770	C₄²	—	15	1	no	—
1771	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1772	C₃×C₅	#3444	1	1	yes	characteristic, complemented, Hall
1773	C₂²×C₃	—	2	1	no	—
1774	C₂²×C₃	—	2	1	no	—
1775	C₂²×C₃	—	2	1	no	—
1776	C₂²×C₃	—	5	2	no	—
1777	C₂²×C₃	—	10	1	no	—
1778	C₂²×C₃	—	10	1	no	—
1779	C₂²×C₃	—	10	1	no	—
1780	C₂²×C₃	—	10	1	no	—
1781	C₂²×C₃	—	10	1	no	—
1782	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1783	C₂×D₃	—	2	1	no	—
1784	C₂×D₃	—	2	1	no	—
1785	C₂×D₃	—	2	1	no	—
1786	C₂×D₃	—	2	1	no	—
1787	C₂×D₃	—	2	1	no	—
1788	C₂×D₃	—	5	2	no	—
1789	C₂×D₃	—	10	8	no	—
1790	C₂×D₃	—	10	1	no	—
1791	C₂×D₃	—	10	1	no	—
1792	C₂×D₃	—	10	1	no	—
1793	C₂×D₃	—	10	1	no	—
1794	C₂×D₃	—	10	1	no	—
1795	C₂×D₃	D₅×#41	1	2	yes	—
1796	C₃×C₄	—	2	1	no	—
1797	C₃×C₄	—	2	1	no	—
1798	C₃×C₄	—	2	1	no	—
1799	C₃×C₄	—	2	1	no	—
1800	C₃×C₄	—	2	1	no	—
1801	C₃×C₄	—	2	1	no	—
1802	C₃×C₄	—	5	2	no	—
1803	C₃×C₄	—	5	2	no	—
1804	C₃×C₄	—	10	1	no	—
1805	C₃×C₄	—	10	1	no	—
1806	C₃×C₄	—	10	1	no	—
1807	C₃×C₄	—	10	1	no	—
1808	Dic₃	—	2	1	no	—
1809	Dic₃	—	2	1	no	—
1810	Dic₃	—	2	1	no	—
1811	Dic₃	—	2	1	no	—
1812	Dic₃	—	5	2	no	—
1813	Dic₃	—	5	2	no	—
1814	Dic₃	—	10	1	no	—
1815	Dic₃	—	10	1	no	—
1816	Dic₃	—	10	1	no	—
1817	Dic₃	—	10	1	no	—
1818	Dic₃	D₅×#41	1	2	yes	—
1819	Dic₃	D₅×#41	1	2	yes	—
1820	C₂×C₅	—	4	1	no	—
1821	C₂×C₅	—	6	2	no	—
1822	C₂×C₅	—	12	1	no	—
1823	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1824	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1825	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1826	D₅	—	2	2	no	—
1827	D₅	—	4	1	no	—
1828	D₅	—	6	2	no	—
1829	D₅	—	12	1	no	—
1830	C₂³	—	3	1	no	—
1831	C₂³	—	3	1	no	—
1832	C₂³	—	5	1	no	—
1833	C₂³	—	5	1	no	—
1834	C₂³	—	15	1	no	—
1835	C₂³	—	15	1	no	—
1836	C₂³	—	30	2	no	—
1837	C₂³	—	30	2	no	—
1838	C₂³	—	30	2	no	—
1839	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1840	Q₈	—	6	2	no	—
1841	Q₈	—	10	2	no	—
1842	Q₈	—	30	2	no	—
1843	Q₈	—	30	2	no	—
1844	Q₈	—	30	2	no	—
1845	Q₈	—	30	2	no	—
1846	D₄	—	6	2	no	—
1847	D₄	—	6	2	no	—
1848	D₄	—	6	2	no	—
1849	D₄	—	10	2	no	—
1850	D₄	—	10	2	no	—
1851	D₄	—	10	2	no	—
1852	D₄	—	30	2	no	—
1853	D₄	—	30	2	no	—
1854	D₄	—	30	2	no	—
1855	D₄	—	30	2	no	—
1856	D₄	—	30	2	no	—
1857	D₄	—	30	2	no	—
1858	D₄	—	30	2	no	—
1859	D₄	—	30	2	no	—
1860	D₄	—	30	2	no	—
1861	D₄	—	30	2	no	—
1862	D₄	—	30	2	no	—
1863	D₄	—	30	2	no	—
1864	C₂×C₄	—	3	1	no	—
1865	C₂×C₄	—	3	1	no	—
1866	C₂×C₄	—	3	1	no	—
1867	C₂×C₄	—	3	1	no	—
1868	C₂×C₄	—	3	1	no	—
1869	C₂×C₄	—	3	1	no	—
1870	C₂×C₄	—	5	1	no	—
1871	C₂×C₄	—	5	1	no	—
1872	C₂×C₄	—	5	1	no	—
1873	C₂×C₄	—	5	1	no	—
1874	C₂×C₄	—	5	1	no	—
1875	C₂×C₄	—	5	1	no	—
1876	C₂×C₄	—	6	2	no	—
1877	C₂×C₄	—	6	2	no	—
1878	C₂×C₄	—	6	2	no	—
1879	C₂×C₄	—	6	2	no	—
1880	C₂×C₄	—	6	2	no	—
1881	C₂×C₄	—	10	2	no	—
1882	C₂×C₄	—	10	2	no	—
1883	C₂×C₄	—	10	2	no	—
1884	C₂×C₄	—	10	2	no	—
1885	C₂×C₄	—	10	2	no	—
1886	C₂×C₄	—	15	4	no	—
1887	C₂×C₄	—	15	4	no	—
1888	C₂×C₄	—	15	4	no	—
1889	C₂×C₄	—	15	1	no	—
1890	C₂×C₄	—	15	1	no	—
1891	C₂×C₄	—	15	1	no	—
1892	C₂×C₄	—	15	1	no	—
1893	C₂×C₄	—	15	1	no	—
1894	C₂×C₄	—	15	1	no	—
1895	C₂×C₄	—	30	2	no	—
1896	C₂×C₄	—	30	2	no	—
1897	C₂×C₄	—	30	2	no	—
1898	C₂×C₄	—	30	2	no	—
1899	C₂×C₄	—	30	2	no	—
1900	C₂×C₄	—	30	2	no	—
1901	C₂×C₄	—	30	2	no	—
1902	C₂×C₄	—	30	2	no	—
1903	C₂×C₄	—	30	2	no	—
1904	C₂×C₄	—	30	2	no	—
1905	C₂×C₄	—	30	2	no	—
1906	C₂×C₄	—	30	2	no	—
1907	C₂×C₄	—	30	2	no	—
1908	C₂×C₄	—	30	2	no	—
1909	C₂×C₄	—	30	2	no	—
1910	C₂×C₄	—	30	2	no	—
1911	C₂×C₄	—	30	2	no	—
1912	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1913	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1914	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1915	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1916	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1917	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1918	C₂×C₃	—	4	1	no	—
1919	C₂×C₃	—	10	2	no	—
1920	C₂×C₃	—	20	1	no	—
1921	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1922	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1923	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1924	D₃	—	2	2	no	—
1925	D₃	—	4	1	no	—
1926	D₃	—	10	2	no	—
1927	D₃	—	20	1	no	—
1928	C₅	#86119	1	1	yes	characteristic, complemented, Sylow
1929	C₂²	—	2	1	no	—
1930	C₂²	—	2	1	no	—
1931	C₂²	—	2	1	no	—
1932	C₂²	—	3	2	no	—
1933	C₂²	—	5	2	no	—
1934	C₂²	—	6	1	no	—
1935	C₂²	—	6	1	no	—
1936	C₂²	—	6	1	no	—
1937	C₂²	—	6	1	no	—
1938	C₂²	—	6	1	no	—
1939	C₂²	—	10	1	no	—
1940	C₂²	—	10	1	no	—
1941	C₂²	—	10	1	no	—
1942	C₂²	—	10	1	no	—
1943	C₂²	—	10	1	no	—
1944	C₂²	—	15	2	no	—
1945	C₂²	—	30	8	no	—
1946	C₂²	—	30	1	no	—
1947	C₂²	—	30	1	no	—
1948	C₂²	—	30	1	no	—
1949	C₂²	—	30	1	no	—
1950	C₂²	—	30	1	no	—
1951	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1952	C₄	—	2	1	no	—
1953	C₄	—	2	1	no	—
1954	C₄	—	2	1	no	—
1955	C₄	—	2	1	no	—
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	3	2	no	—
1959	C₄	—	3	2	no	—
1960	C₄	—	5	2	no	—
1961	C₄	—	5	2	no	—
1962	C₄	—	6	1	no	—
1963	C₄	—	6	1	no	—
1964	C₄	—	6	1	no	—
1965	C₄	—	6	1	no	—
1966	C₄	—	10	1	no	—
1967	C₄	—	10	1	no	—
1968	C₄	—	10	1	no	—
1969	C₄	—	10	1	no	—
1970	C₄	—	15	2	no	—
1971	C₄	—	15	2	no	—
1972	C₄	—	30	1	no	—
1973	C₄	—	30	1	no	—
1974	C₄	—	30	1	no	—
1975	C₄	—	30	1	no	—
1976	C₃	#10618020	1	1	yes	characteristic, complemented, Sylow
1977	C₂	—	4	1	no	—
1978	C₂	—	6	2	no	—
1979	C₂	—	10	2	no	—
1980	C₂	—	12	1	no	—
1981	C₂	—	20	1	no	—
1982	C₂	—	30	2	no	—
1983	C₂	—	60	1	no	—
1984	C₂	D₃×D₅×#41	1	1	yes	characteristic
1985	C₂	D₃×D₅×#41	1	1	yes	characteristic
1986	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×#126	C₂²
hypercenter	#126	D₃×D₅
hypocenter	C₃×C₅	#3444
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #126

Complements

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

N	H ≅ G/N	type
1. #11756465	C₂	semidirect
2. C₅×#5706	C₂	semidirect
3. C₃×#66040	C₂	semidirect
4. #11753866	C₂	semidirect
5. #11753862	C₂	semidirect
6. #11753853	C₂	semidirect
7. #11753536	C₂	semidirect
8. #11753507	C₂	semidirect
9. #11753494	C₂	semidirect
10. #11753467	C₂	semidirect
11. #11753457	C₂	semidirect
12. #11753446	C₂	semidirect
13. #11753408	C₂	semidirect
14. #11753402	C₂	semidirect
15. #11753400	C₂	semidirect
16. #11753250	C₂	semidirect
17. #11753244	C₂	semidirect
18. #11753221	C₂	semidirect
19. #11752937	C₂	semidirect
20. #11752934	C₂	semidirect
21. #11752897	C₂	semidirect
22. #11752855	C₂	semidirect
23. #11752843	C₂	semidirect
24. #11752834	C₂	semidirect
25. #11752823	C₂	semidirect
26. #11752820	C₂	semidirect
27. #11752818	C₂	semidirect
28. C₄²×D₃×D₅	C₂	semidirect
29. #11752702	C₂	semidirect
30. #11752692	C₂	semidirect
31. #11752684	C₂	semidirect
42. C₃×C₅×#126	C₂²	semidirect
46. #91781	C₂²	semidirect
47. #91778	C₂²	semidirect
48. #91776	C₂²	semidirect
49. #91774	C₂²	semidirect
53. #91770	C₂²	semidirect
54. #91766	C₂²	semidirect
55. #91765	C₂²	semidirect
60. C₅×#892	C₂²	semidirect
61. C₅×#889	C₂²	semidirect
62. C₅×#887	C₂²	semidirect
63. C₅×#885	C₂²	semidirect
67. C₅×#67⋊C₄	C₂²	semidirect
68. C₅×#877	C₂²	semidirect
69. C₅×#876	C₂²	semidirect
74. C₃×#4038	C₂²	semidirect
75. C₃×#4035	C₂²	semidirect
76. C₃×#4033	C₂²	semidirect
77. C₃×#4031	C₂²	semidirect
81. C₃×#4027	C₂²	semidirect
82. C₃×#4023	C₂²	semidirect
83. C₃×#4022	C₂²	semidirect
86. #91567	C₂²	semidirect
89. #91559	C₂²	semidirect
91. #91556	C₂²	semidirect
94. Dic₅×#67	C₂²	semidirect
96. #91531	C₂²	semidirect
97. C₂×Dic₃×Dic₅	C₂²	semidirect
101. #91464	C₂²	semidirect
111. #91444	C₂²	semidirect
113. #91442	C₂²	semidirect
116. #91441	C₂²	semidirect
131. #91406	C₂²	semidirect
133. #91405	C₂²	semidirect
136. #91403	C₂²	semidirect
137. #91402	C₂²	semidirect
141. C₄×#1200	C₂²	semidirect
142. #91400	C₂²	semidirect
145. #91398	C₂²	semidirect
149. C₄×D₃×Dic₅	C₂²	semidirect
152. #91395	C₂²	semidirect
155. #91394	C₂²	semidirect
156. #91393	C₂²	semidirect
160. C₄×D₅×Dic₃	C₂²	semidirect
161. #91382	C₂²	semidirect
162. #91379	C₂²	semidirect
163. #91378	C₂²	semidirect
165. #91361	C₂²	semidirect
168. #91353	C₂²	semidirect
171. #91350	C₂²	semidirect
174. #91345	C₂²	semidirect
175. #91342	C₂²	semidirect
176. #91340	C₂²	semidirect
177. Dic₅×Dic₆	C₂²	semidirect
178. #91331	C₂²	semidirect
179. #91329	C₂²	semidirect
180. #91328	C₂²	semidirect
181. #91327	C₂²	semidirect
182. #91325	C₂²	semidirect
183. #91325	C₂²	semidirect
184. #91324	C₂²	semidirect
185. #91324	C₂²	semidirect
186. #91323	C₂²	semidirect
187. #91323	C₂²	semidirect
193. #66040	D₃	semidirect
388. #5706	D₅	semidirect
425. C₅×#126	C₂×D₃	semidirect
492. #4038	C₂×D₃	semidirect
496. #4035	C₂×D₃	semidirect
505. #4033	C₂×D₃	semidirect
509. #4031	C₂×D₃	semidirect
535. #4027	C₂×D₃	semidirect
545. #4023	C₂×D₃	semidirect
547. #4022	C₂×D₃	semidirect
648. #1200	#41	semidirect
653. D₃×Dic₅	#41	semidirect
658. D₅×Dic₃	#41	semidirect
669. C₃×#126	C₂×D₅	semidirect
736. #892	C₂×D₅	semidirect
740. #889	C₂×D₅	semidirect
749. #887	C₂×D₅	semidirect
753. #885	C₂×D₅	semidirect
779. #67⋊C₄	C₂×D₅	semidirect
789. #877	C₂×D₅	semidirect
791. #876	C₂×D₅	semidirect
1328. #126	D₃×D₅	semidirect
1772. C₃×C₅	#3444	semidirect
1928. C₅	#86119	semidirect
1976. C₃	#10618020	semidirect

Maximal subgroups

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

subgroup	index
#11756465	2
C₅×#5706	2
C₃×#66040	2
#11753866	2
#11753862	2
#11753853	2
#11753536	2
#11753507	2
#11753494	2
#11753467	2
#11753457	2
#11753446	2
#11753408	2
#11753402	2
#11753400	2
#11753250	2
#11753244	2
#11753221	2
#11752937	2
#11752934	2
#11752897	2
#11752855	2
#11752843	2
#11752834	2
#11752823	2
#11752820	2
#11752818	2
C₄²×D₃×D₅	2
#11752702	2
#11752692	2
#11752684	2
#10618020	3
#86119	5