Subgroups — #14495536

Order 1920.

2116 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756405	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5647	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65961	C₂	1	1	yes	maximal, characteristic, complemented
4	#11755270	C₂	1	1	yes	maximal, characteristic, complemented
5	#11755260	C₂	1	1	yes	maximal, characteristic, complemented
6	#11755259	C₂	1	1	yes	maximal, characteristic, complemented
7	#11755158	C₂	1	1	yes	maximal, characteristic, complemented
8	#11754686	C₂	1	1	yes	maximal, characteristic, complemented
9	#11754526	C₂	1	1	yes	maximal, characteristic, complemented
10	#11754472	C₂	1	1	yes	maximal, characteristic, complemented
11	#11754316	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753940	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753939	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753862	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753817	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753680	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753643	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753642	C₂	1	1	yes	maximal, characteristic, complemented
19	#11753638	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753517	C₂	1	1	yes	maximal, characteristic, complemented
21	#11753489	C₂	1	1	yes	maximal, characteristic, complemented
22	#11753488	C₂	1	1	yes	maximal, characteristic, complemented
23	#11753476	C₂	1	1	yes	maximal, characteristic, complemented
24	#11753299	C₂	1	1	yes	maximal, characteristic, complemented
25	#11753249	C₂	1	1	yes	maximal, characteristic, complemented
26	#11753163	C₂	1	1	yes	maximal, characteristic, complemented
27	#11753163	C₂	1	1	yes	maximal, characteristic, complemented
28	#11753162	C₂	1	1	yes	maximal, characteristic, complemented
29	#11752896	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752885	C₂	1	1	yes	maximal, characteristic, complemented
31	#11752843	C₂	1	1	yes	maximal, characteristic, complemented
32	#10618994	—	3	1	no	maximal, Hall
33	C₂×C₃×#713	C₂²	1	1	yes	characteristic
34	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
35	C₂×#6782	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic, complemented
37	C₂×#6772	C₂²	1	1	yes	characteristic
38	C₂×#6772	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	#91835	C₂²	1	1	yes	characteristic, complemented
41	#91833	C₂²	1	1	yes	characteristic, complemented
42	#91818	C₂²	1	1	yes	characteristic
43	#91813	C₂²	1	1	yes	characteristic, complemented
44	#91787	C₂²	1	1	yes	characteristic, complemented
45	#91787	C₂²	1	1	yes	characteristic, complemented
46	#91785	C₂²	1	1	yes	characteristic, complemented
47	#91779	C₂²	1	1	yes	characteristic, complemented
48	#91778	C₂²	1	1	yes	characteristic, complemented
49	#91777	C₂²	1	1	yes	characteristic, complemented
50	#91774	C₂²	1	1	yes	characteristic
51	#91772	C₂²	1	1	yes	characteristic
52	#91768	C₂²	1	1	yes	characteristic, complemented
53	#91768	C₂²	1	1	yes	characteristic, complemented
54	C₅×#947	C₂²	1	1	yes	characteristic, complemented
55	C₅×#946	C₂²	1	1	yes	characteristic, complemented
56	C₅×#930	C₂²	1	1	yes	characteristic
57	C₅×#929	C₂²	1	1	yes	characteristic, complemented
58	C₅×#897	C₂²	1	1	yes	characteristic, complemented
59	C₅×#896	C₂²	1	1	yes	characteristic, complemented
60	C₅×#895	C₂²	1	1	yes	characteristic, complemented
61	C₅×#894	C₂²	1	1	yes	characteristic, complemented
62	C₅×#894	C₂²	1	1	yes	characteristic, complemented
63	C₅×#889	C₂²	1	1	yes	characteristic, complemented
64	C₅×#885	C₂²	1	1	yes	characteristic
65	C₅×#884	C₂²	1	1	yes	characteristic
66	C₅×#884	C₂²	1	1	yes	characteristic, complemented
67	C₅×#883	C₂²	1	1	yes	characteristic, complemented
68	C₃×#4092	C₂²	1	1	yes	characteristic, complemented
69	C₃×#4076	C₂²	1	1	yes	characteristic
70	C₃×#4041	C₂²	1	1	yes	characteristic
71	C₃×#4040	C₂²	1	1	yes	characteristic
72	C₃×#4040	C₂²	1	1	yes	characteristic, complemented
73	C₃×#4039	C₂²	1	1	yes	characteristic
74	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
75	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4028	C₂²	1	1	yes	characteristic
77	C₃×#4028	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4027	C₂²	1	1	yes	characteristic
79	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
80	#91577	C₂²	1	1	yes	characteristic
81	#91567	C₂²	1	1	yes	characteristic
82	#91565	C₂²	1	1	yes	characteristic
83	#91565	C₂²	1	1	yes	characteristic, complemented
84	#91564	C₂²	1	1	yes	characteristic
85	#91563	C₂²	1	1	yes	characteristic
86	#91563	C₂²	1	1	yes	characteristic, complemented
87	#91563	C₂²	1	1	yes	characteristic, complemented
88	Dic₅×#67	C₂²	1	1	yes	characteristic
89	Dic₅×#67	C₂²	1	1	yes	characteristic, complemented
90	#91549	C₂²	1	1	yes	characteristic
91	#91549	C₂²	1	1	yes	characteristic
92	#91548	C₂²	1	1	yes	characteristic, complemented
93	#91534	C₂²	1	1	yes	characteristic
94	#91528	C₂²	1	1	yes	characteristic, complemented
95	#91475	C₂²	1	1	yes	characteristic, complemented
96	#91475	C₂²	1	1	yes	characteristic, complemented
97	#91474	C₂²	1	1	yes	characteristic
98	#91474	C₂²	1	1	yes	characteristic
99	#91474	C₂²	1	1	yes	characteristic, complemented
100	#91465	C₂²	1	1	yes	characteristic
101	#91464	C₂²	1	1	yes	characteristic
102	#91464	C₂²	1	1	yes	characteristic, complemented
103	#91463	C₂²	1	1	yes	characteristic
104	#91463	C₂²	1	1	yes	characteristic
105	#91462	C₂²	1	1	yes	characteristic
106	#91462	C₂²	1	1	yes	characteristic, complemented
107	#91461	C₂²	1	1	yes	characteristic
108	#91457	C₂²	1	1	yes	characteristic, complemented
109	#91457	C₂²	1	1	yes	characteristic, complemented
110	#91457	C₂²	1	1	yes	characteristic, complemented
111	#91456	C₂²	1	1	yes	characteristic
112	#91456	C₂²	1	1	yes	characteristic
113	#91456	C₂²	1	1	yes	characteristic, complemented
114	#91455	C₂²	1	1	yes	characteristic
115	#91454	C₂²	1	1	yes	characteristic
116	#91454	C₂²	1	1	yes	characteristic, complemented
117	#91453	C₂²	1	1	yes	characteristic
118	#91453	C₂²	1	1	yes	characteristic, complemented
119	#91453	C₂²	1	1	yes	characteristic, complemented
120	#91452	C₂²	1	1	yes	characteristic
121	#91452	C₂²	1	1	yes	characteristic, complemented
122	#91452	C₂²	1	1	yes	characteristic, complemented
123	#91449	C₂²	1	1	yes	characteristic
124	#91448	C₂²	1	1	yes	characteristic
125	#91448	C₂²	1	1	yes	characteristic
126	#91447	C₂²	1	1	yes	characteristic
127	#91447	C₂²	1	1	yes	characteristic, complemented
128	#91444	C₂²	1	1	yes	characteristic
129	#91444	C₂²	1	1	yes	characteristic
130	#91444	C₂²	1	1	yes	characteristic, complemented
131	#91440	C₂²	1	1	yes	characteristic
132	#91440	C₂²	1	1	yes	characteristic, complemented
133	#91440	C₂²	1	1	yes	characteristic, complemented
134	#91440	C₂²	1	1	yes	characteristic, complemented
135	#91440	C₂²	1	1	yes	characteristic, complemented
136	#91440	C₂²	1	1	yes	characteristic, complemented
137	#91440	C₂²	1	1	yes	characteristic, complemented
138	#91436	C₂²	1	1	yes	characteristic, complemented
139	#91431	C₂²	1	1	yes	characteristic, complemented
140	#91427	C₂²	1	1	yes	characteristic, complemented
141	#91422	C₂²	1	1	yes	characteristic, complemented
142	#91422	C₂²	1	1	yes	characteristic, complemented
143	#91421	C₂²	1	1	yes	characteristic, complemented
144	#91417	C₂²	1	1	yes	characteristic, complemented
145	#91416	C₂²	1	1	yes	characteristic, complemented
146	Dic₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
147	#91414	C₂²	1	1	yes	characteristic, complemented
148	#91413	C₂²	1	1	yes	characteristic, complemented
149	#91409	C₂²	1	1	yes	characteristic
150	#91408	C₂²	1	1	yes	characteristic
151	#91408	C₂²	1	1	yes	characteristic, complemented
152	#91408	C₂²	1	1	yes	characteristic, complemented
153	#91408	C₂²	1	1	yes	characteristic, complemented
154	#91408	C₂²	1	1	yes	characteristic, complemented
155	#91407	C₂²	1	1	yes	characteristic
156	#91407	C₂²	1	1	yes	characteristic, complemented
157	#91407	C₂²	1	1	yes	characteristic, complemented
158	#91405	C₂²	1	1	yes	characteristic, complemented
159	#91402	C₂²	1	1	yes	characteristic, complemented
160	#91398	C₂²	1	1	yes	characteristic, complemented
161	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
162	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
163	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
164	#91379	C₂²	1	1	yes	characteristic, complemented
165	#91368	C₂²	1	1	yes	characteristic
166	#91367	C₂²	1	1	yes	characteristic, complemented
167	#91366	C₂²	1	1	yes	characteristic, complemented
168	#91366	C₂²	1	1	yes	characteristic, complemented
169	#91366	C₂²	1	1	yes	characteristic, complemented
170	#91364	C₂²	1	1	yes	characteristic
171	#91362	C₂²	1	1	yes	characteristic, complemented
172	#91361	C₂²	1	1	yes	characteristic, complemented
173	#91361	C₂²	1	1	yes	characteristic, complemented
174	#91360	C₂²	1	1	yes	characteristic, complemented
175	#91358	C₂²	1	1	yes	characteristic, complemented
176	#91358	C₂²	1	1	yes	characteristic, complemented
177	#91355	C₂²	1	1	yes	characteristic, complemented
178	#91353	C₂²	1	1	yes	characteristic
179	#91352	C₂²	1	1	yes	characteristic, complemented
180	#91349	C₂²	1	1	yes	characteristic, complemented
181	#91349	C₂²	1	1	yes	characteristic, complemented
182	#91346	C₂²	1	1	yes	characteristic, complemented
183	#91341	C₂²	1	1	yes	characteristic, complemented
184	#91335	C₂²	1	1	yes	characteristic, complemented
185	Dic₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
186	#91328	C₂²	1	1	yes	characteristic, complemented
187	#91323	C₂²	1	1	yes	characteristic, complemented
188	#86048	—	5	1	no	maximal, Hall
189	C₅×#562	—	3	1	no	—
190	#66033	—	3	1	no	—
191	#66025	—	3	1	no	—
192	#66018	—	3	1	no	—
193	#66017	—	3	1	no	—
194	#66014	—	3	1	no	—
195	#66002	—	3	1	no	—
196	#66001	—	3	1	no	—
197	#66001	—	3	1	no	—
198	#66000	—	3	1	no	—
199	#66000	—	3	1	no	—
200	#65990	—	3	1	no	—
201	#65990	—	3	1	no	—
202	#65983	—	3	1	no	—
203	#65983	—	3	1	no	—
204	#65981	—	3	1	no	—
205	#65981	—	3	1	no	—
206	#65980	—	3	1	no	—
207	#65980	—	3	1	no	—
208	#65961	—	3	1	no	—
209	#65961	D₃	1	1	yes	characteristic, complemented
210	#65958	—	3	1	no	—
211	#65958	—	3	1	no	—
212	#65954	—	3	1	no	—
213	#65954	—	3	1	no	—
214	#65954	—	3	1	no	—
215	#65954	—	3	1	no	—
216	#65940	—	3	1	no	—
217	#65940	—	3	1	no	—
218	#65930	—	3	1	no	—
219	#65930	—	3	1	no	—
220	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
221	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
224	C₂×#1220	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
226	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
227	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
228	C₂×C₅×#67	C₂³	1	1	yes	characteristic
229	C₂×C₅×#67	C₂³	1	1	yes	characteristic
230	C₂×C₅×#67	C₂³	1	1	yes	characteristic
231	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
232	C₂×C₅×D₁₂	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×C₅×Dic₆	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
240	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
241	C₃×#713	—	4	2	no	—
242	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
243	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
244	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
245	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
246	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄×D₅	—	4	2	no	—
248	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
254	C₂×#1204	C₂³	1	1	yes	characteristic
255	C₂×#1204	C₂³	1	1	yes	characteristic
256	C₂×#1203	C₂³	1	1	yes	characteristic
257	C₂×#1203	C₂³	1	1	yes	characteristic
258	C₂×#1202	C₂³	1	1	yes	characteristic
259	C₂×#1202	C₂³	1	1	yes	characteristic
260	C₂×#1202	C₂³	1	1	yes	characteristic
261	C₂×#1201	C₂³	1	1	yes	characteristic
262	C₂×#1201	C₂³	1	1	yes	characteristic
263	C₂×#1201	C₂³	1	1	yes	characteristic
264	C₂×#1201	C₂³	1	1	yes	characteristic
265	C₂×#1201	C₂³	1	1	yes	characteristic
266	C₂×#1201	C₂³	1	1	yes	characteristic
267	C₂×#1201	C₂³	1	1	yes	characteristic
268	C₂×#1201	C₂³	1	1	yes	characteristic
269	C₂×#1201	C₂³	1	1	yes	characteristic
270	C₂×#1201	C₂³	1	1	yes	characteristic
271	C₂×#1201	C₂³	1	1	yes	characteristic
272	C₂×#1200	C₂³	1	1	yes	characteristic
273	#6782	—	4	2	no	—
274	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
276	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
280	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
281	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
282	C₄×D₃×D₅	—	4	2	no	—
283	#6772	—	4	2	no	—
284	#6772	—	4	2	no	—
285	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₃×C₅×C₄⋊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	#6719	C₂³	1	1	yes	characteristic
291	#6719	C₂³	1	1	yes	characteristic
292	#6719	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	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
300	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
301	C₄⋊Dic₁₅	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	#6712	C₂³	1	1	yes	characteristic
306	#6712	C₂³	1	1	yes	characteristic
307	#6712	C₂³	1	1	yes	characteristic
308	#6712	C₂³	1	1	yes	characteristic
309	#6712	C₂³	1	1	yes	characteristic
310	#6712	C₂³	1	1	yes	characteristic
311	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
312	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
313	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
314	C₅×#217	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×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
318	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
319	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
320	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
321	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
322	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
323	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
324	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
325	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
326	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
327	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
328	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
329	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
330	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
331	C₄×C₅×Dic₃	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×#685	C₂³	1	1	yes	characteristic
337	C₃×#685	C₂³	1	1	yes	characteristic
338	C₃×#685	C₂³	1	1	yes	characteristic
339	C₃×#685	C₂³	1	1	yes	characteristic
340	C₃×C₄⋊Dic₅	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	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
346	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
347	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
348	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
349	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
350	#6669	C₂³	1	1	yes	characteristic
351	#6668	C₂³	1	1	yes	characteristic
352	#6668	C₂³	1	1	yes	characteristic
353	#6668	C₂³	1	1	yes	characteristic
354	#6668	C₂³	1	1	yes	characteristic
355	#6667	C₂³	1	1	yes	characteristic
356	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
357	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
358	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
359	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
360	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
361	#6665	C₂³	1	1	yes	characteristic
362	#6665	C₂³	1	1	yes	characteristic
363	#6665	C₂³	1	1	yes	characteristic
364	#6665	C₂³	1	1	yes	characteristic
365	#6665	C₂³	1	1	yes	characteristic
366	#6665	C₂³	1	1	yes	characteristic
367	#6665	C₂³	1	1	yes	characteristic
368	#6665	C₂³	1	1	yes	characteristic
369	#6665	C₂³	1	1	yes	characteristic
370	#6665	C₂³	1	1	yes	characteristic
371	#6665	C₂³	1	1	yes	characteristic
372	#6665	C₂³	1	1	yes	characteristic
373	#6665	C₂³	1	1	yes	characteristic
374	#6665	C₂³	1	1	yes	characteristic
375	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
376	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
377	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
378	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
379	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
380	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
381	C₃×#525	—	5	1	no	—
382	#5832	—	5	1	no	—
383	#5828	—	5	1	no	—
384	#5791	—	5	1	no	—
385	#5791	—	5	1	no	—
386	#5667	—	5	1	no	—
387	#5667	—	5	1	no	—
388	#5666	—	5	1	no	—
389	#5651	—	5	1	no	—
390	#5647	—	5	1	no	—
391	#5647	D₅	1	1	yes	characteristic, complemented
392	#5646	—	5	1	no	—
393	#5646	—	5	1	no	—
394	#5621	—	5	1	no	—
395	#5621	—	5	1	no	—
396	#5620	—	5	1	no	—
397	#5620	—	5	1	no	—
398	#5595	—	5	1	no	—
399	#5595	—	5	1	no	—
400	#5595	—	5	1	no	—
401	#5594	—	5	1	no	—
402	#5557	—	5	1	no	—
403	#5557	—	5	1	no	—
404	#5548	—	5	1	no	—
405	#5548	—	5	1	no	—
406	#5547	—	5	1	no	—
407	#5547	—	5	1	no	—
408	#5538	—	5	1	no	—
409	#5538	—	5	1	no	—
410	#5528	—	5	1	no	—
411	#5528	—	5	1	no	—
412	C₂×#713	C₂×D₃	1	1	yes	characteristic
413	C₂×#711	—	3	1	no	—
414	C₂×#711	—	3	1	no	—
415	C₂×#711	—	3	1	no	—
416	C₂²×C₄×D₅	—	3	1	no	—
417	C₂²×C₄×D₅	C₂×D₃	1	1	yes	characteristic, complemented
418	C₅×#125	—	3	1	no	—
419	C₅×#124	—	3	1	no	—
420	C₅×#124	—	3	1	no	—
421	C₅×#123	—	3	1	no	—
422	C₅×#123	—	3	1	no	—
423	C₅×#123	—	3	1	no	—
424	C₅×#123	—	3	1	no	—
425	C₅×C₂²⋊Q₈	—	3	1	no	—
426	C₅×C₂²⋊Q₈	—	3	1	no	—
427	C₅×C₂²⋊Q₈	—	3	1	no	—
428	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
429	C₅×#121	—	3	1	no	—
430	C₅×#121	—	3	1	no	—
431	C₅×#121	—	3	1	no	—
432	C₅×#121	—	3	1	no	—
433	#4093	—	3	1	no	—
434	#4093	—	3	1	no	—
435	#4092	—	3	1	no	—
436	#4092	—	3	1	no	—
437	#4092	C₂×D₃	1	1	yes	characteristic, complemented
438	Q₈×Dic₅	—	3	1	no	—
439	#4090	—	3	1	no	—
440	#4086	—	3	1	no	—
441	#4086	—	3	1	no	—
442	#4086	—	3	1	no	—
443	#4085	—	3	1	no	—
444	#4085	—	3	1	no	—
445	#4085	—	3	1	no	—
446	#4085	—	3	1	no	—
447	#4085	—	3	1	no	—
448	#4085	—	3	1	no	—
449	#4084	—	3	1	no	—
450	#4084	—	3	1	no	—
451	#4084	—	3	1	no	—
452	#4083	—	3	1	no	—
453	#4083	—	3	1	no	—
454	#4083	—	3	1	no	—
455	#4083	—	3	1	no	—
456	#4083	—	3	1	no	—
457	#4083	—	3	1	no	—
458	D₄×Dic₅	—	3	1	no	—
459	D₄×Dic₅	—	3	1	no	—
460	D₄×Dic₅	—	3	1	no	—
461	#4076	—	3	1	no	—
462	#4076	—	3	1	no	—
463	#4076	—	3	1	no	—
464	#4076	—	3	1	no	—
465	#4076	—	3	1	no	—
466	#4076	C₂×D₃	1	1	yes	characteristic
467	#4075	—	3	1	no	—
468	#4075	—	3	1	no	—
469	#4075	—	3	1	no	—
470	#4075	—	3	1	no	—
471	#4070	—	3	1	no	—
472	#4070	—	3	1	no	—
473	C₂×C₄×Dic₅	—	3	1	no	—
474	C₂×C₄×Dic₅	—	3	1	no	—
475	#4044	—	3	1	no	—
476	#4044	—	3	1	no	—
477	#4044	—	3	1	no	—
478	#4044	—	3	1	no	—
479	#4044	—	3	1	no	—
480	#4044	—	3	1	no	—
481	#4044	—	3	1	no	—
482	#4044	—	3	1	no	—
483	#4043	—	3	1	no	—
484	#4043	—	3	1	no	—
485	#4043	—	3	1	no	—
486	#4042	—	3	1	no	—
487	#4042	—	3	1	no	—
488	#4042	—	3	1	no	—
489	#4042	—	3	1	no	—
490	#4041	—	3	1	no	—
491	#4041	—	3	1	no	—
492	#4041	C₂×D₃	1	1	yes	characteristic
493	#4040	—	3	1	no	—
494	#4040	—	3	1	no	—
495	#4040	—	3	1	no	—
496	#4040	—	3	1	no	—
497	#4040	C₂×D₃	1	1	yes	characteristic
498	#4040	C₂×D₃	1	1	yes	characteristic, complemented
499	#4039	—	3	1	no	—
500	#4039	—	3	1	no	—
501	#4039	—	3	1	no	—
502	#4039	C₂×D₃	1	1	yes	characteristic
503	#4039	C₂×D₃	1	1	yes	characteristic, complemented
504	#4038	—	3	1	no	—
505	#4038	—	3	1	no	—
506	#4038	—	3	1	no	—
507	#4038	C₂×D₃	1	1	yes	characteristic, complemented
508	#4036	—	3	1	no	—
509	#4036	—	3	1	no	—
510	#4035	—	3	1	no	—
511	#4035	—	3	1	no	—
512	#4034	—	3	1	no	—
513	#4034	—	3	1	no	—
514	#4033	—	3	1	no	—
515	#4032	—	3	1	no	—
516	#4032	—	3	1	no	—
517	#4032	—	3	1	no	—
518	#4032	—	3	1	no	—
519	#4031	—	3	1	no	—
520	#4031	—	3	1	no	—
521	#4031	—	3	1	no	—
522	#4031	—	3	1	no	—
523	#4031	—	3	1	no	—
524	#4031	—	3	1	no	—
525	#4030	—	3	1	no	—
526	#4030	—	3	1	no	—
527	#4030	—	3	1	no	—
528	#4030	—	3	1	no	—
529	#4030	—	3	1	no	—
530	#4030	—	3	1	no	—
531	#4030	—	3	1	no	—
532	#4030	—	3	1	no	—
533	#4029	—	3	1	no	—
534	#4029	—	3	1	no	—
535	#4029	—	3	1	no	—
536	#4029	—	3	1	no	—
537	#4029	—	3	1	no	—
538	#4029	—	3	1	no	—
539	#4028	—	3	1	no	—
540	#4028	—	3	1	no	—
541	#4028	—	3	1	no	—
542	#4028	—	3	1	no	—
543	#4028	C₂×D₃	1	1	yes	characteristic
544	#4028	C₂×D₃	1	1	yes	characteristic, complemented
545	#4027	—	3	1	no	—
546	#4027	—	3	1	no	—
547	#4027	—	3	1	no	—
548	#4027	—	3	1	no	—
549	#4027	—	3	1	no	—
550	#4027	—	3	1	no	—
551	#4027	—	3	1	no	—
552	#4027	—	3	1	no	—
553	#4027	C₂×D₃	1	1	yes	characteristic
554	#4027	C₂×D₃	1	1	yes	characteristic, complemented
555	#4025	—	3	1	no	—
556	#4025	—	3	1	no	—
557	#4025	—	3	1	no	—
558	#4025	—	3	1	no	—
559	#4024	—	3	1	no	—
560	#4024	—	3	1	no	—
561	#4023	—	3	1	no	—
562	#4023	—	3	1	no	—
563	#4021	—	3	1	no	—
564	#4021	—	3	1	no	—
565	C₄²×D₅	—	3	1	no	—
566	#4016	—	3	1	no	—
567	#3529	—	15	1	no	Sylow
568	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
569	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
572	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₃×D₅	—	4	1	no	—
574	C₂²×C₃×D₅	—	4	1	no	—
575	C₂²×C₃×D₅	—	4	1	no	—
576	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
577	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
578	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
579	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
580	C₂×D₃×D₅	—	4	1	no	—
581	C₂×D₃×D₅	—	4	1	no	—
582	C₂×D₃×D₅	—	4	1	no	—
583	C₃×C₅×Q₈	—	4	1	no	—
584	C₂×C₃×C₄×C₅	—	4	1	no	—
585	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
586	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
588	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
589	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
590	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
591	#1220	—	4	1	no	—
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	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
599	C₄×D₁₅	—	4	1	no	—
600	Dic₃₀	—	4	1	no	—
601	Dic₃₀	—	4	1	no	—
602	C₅×#67	—	4	1	no	—
603	C₅×#67	—	4	1	no	—
604	C₅×#67	—	4	1	no	—
605	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₅×D₁₂	—	4	1	no	—
611	C₅×D₁₂	—	4	1	no	—
612	C₅×D₁₂	—	4	1	no	—
613	C₄×C₅×D₃	—	4	1	no	—
614	C₄×C₅×D₃	—	4	1	no	—
615	C₄×C₅×D₃	—	4	1	no	—
616	C₅×Dic₆	—	4	1	no	—
617	C₃×C₂²⋊D₅	—	4	1	no	—
618	C₃×C₂²⋊D₅	—	4	1	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	C₃×D₂₀	—	4	1	no	—
625	C₃×D₂₀	—	4	1	no	—
626	C₃×D₂₀	—	4	1	no	—
627	C₃×D₂₀	—	4	1	no	—
628	C₃×D₂₀	—	4	1	no	—
629	C₃×C₄×D₅	—	2	2	no	—
630	C₃×C₄×D₅	—	2	2	no	—
631	C₃×C₄×D₅	—	2	2	no	—
632	C₃×C₄×D₅	—	2	2	no	—
633	C₃×C₄×D₅	—	4	1	no	—
634	C₃×C₄×D₅	—	4	1	no	—
635	#1204	—	4	1	no	—
636	#1204	—	4	1	no	—
637	#1203	—	4	1	no	—
638	#1203	—	4	1	no	—
639	#1202	—	4	1	no	—
640	#1202	—	4	1	no	—
641	#1202	—	4	1	no	—
642	#1201	—	4	1	no	—
643	#1201	—	4	1	no	—
644	#1201	—	4	1	no	—
645	#1201	—	4	1	no	—
646	#1201	—	4	1	no	—
647	#1201	—	4	1	no	—
648	#1201	—	4	1	no	—
649	#1201	—	4	1	no	—
650	#1201	—	4	1	no	—
651	#1201	—	4	1	no	—
652	#1201	—	4	1	no	—
653	#1200	—	2	2	no	—
654	D₃×Dic₅	—	2	2	no	—
655	D₃×Dic₅	—	2	2	no	—
656	D₃×Dic₅	—	2	2	no	—
657	D₃×Dic₅	—	4	1	no	—
658	D₃×Dic₅	—	4	1	no	—
659	D₅×Dic₃	—	4	1	no	—
660	D₅×Dic₃	—	4	1	no	—
661	D₅×Dic₃	—	4	1	no	—
662	C₂×C₃×#41	—	5	1	no	—
663	C₂³×C₃×C₄	—	5	1	no	—
664	C₂×#235	—	5	1	no	—
665	C₂×#235	—	5	1	no	—
666	C₂×#235	—	5	1	no	—
667	C₂²×C₄×D₃	—	5	1	no	—
668	C₃×#123	—	5	1	no	—
669	C₃×#123	—	5	1	no	—
670	C₃×C₂²⋊Q₈	—	5	1	no	—
671	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
672	C₃×#121	—	5	1	no	—
673	C₃×#121	—	5	1	no	—
674	C₃×#120	—	5	1	no	—
675	C₃×#120	—	5	1	no	—
676	C₃×C₄×D₄	—	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	#953	—	5	1	no	—
682	#953	—	5	1	no	—
683	#953	—	5	1	no	—
684	#953	—	5	1	no	—
685	#947	C₂×D₅	1	1	yes	characteristic, complemented
686	#946	—	5	1	no	—
687	#946	C₂×D₅	1	1	yes	characteristic, complemented
688	#944	—	5	1	no	—
689	#940	—	5	1	no	—
690	#940	—	5	1	no	—
691	#940	—	5	1	no	—
692	#939	—	5	1	no	—
693	#939	—	5	1	no	—
694	#939	—	5	1	no	—
695	#939	—	5	1	no	—
696	#939	—	5	1	no	—
697	#939	—	5	1	no	—
698	#939	—	5	1	no	—
699	#939	—	5	1	no	—
700	#938	—	5	1	no	—
701	#938	—	5	1	no	—
702	#938	—	5	1	no	—
703	#938	—	5	1	no	—
704	#938	—	5	1	no	—
705	#938	—	5	1	no	—
706	#937	—	5	1	no	—
707	#937	—	5	1	no	—
708	#937	—	5	1	no	—
709	#937	—	5	1	no	—
710	#936	—	5	1	no	—
711	#936	—	5	1	no	—
712	#936	—	5	1	no	—
713	#935	—	5	1	no	—
714	#935	—	5	1	no	—
715	#935	—	5	1	no	—
716	#935	—	5	1	no	—
717	#930	—	5	1	no	—
718	#930	—	5	1	no	—
719	#930	—	5	1	no	—
720	#930	C₂×D₅	1	1	yes	characteristic
721	#929	—	5	1	no	—
722	#929	—	5	1	no	—
723	#929	—	5	1	no	—
724	#929	C₂×D₅	1	1	yes	characteristic, complemented
725	C₄×#67	—	5	1	no	—
726	C₄×#67	—	5	1	no	—
727	C₄×#67	—	5	1	no	—
728	C₄×#67	—	5	1	no	—
729	C₄×#67	—	5	1	no	—
730	C₄×#67	—	5	1	no	—
731	C₄×#67	—	5	1	no	—
732	C₄×#67	—	5	1	no	—
733	C₄×#67	—	5	1	no	—
734	C₄×#67	—	5	1	no	—
735	C₄×#67	—	5	1	no	—
736	C₄×#67	—	5	1	no	—
737	#926	—	5	1	no	—
738	#926	—	5	1	no	—
739	#926	—	5	1	no	—
740	#924	—	5	1	no	—
741	#924	—	5	1	no	—
742	#924	—	5	1	no	—
743	#924	—	5	1	no	—
744	C₂×C₄×Dic₃	—	5	1	no	—
745	#898	—	5	1	no	—
746	#898	—	5	1	no	—
747	#898	—	5	1	no	—
748	#898	—	5	1	no	—
749	#897	—	5	1	no	—
750	#897	C₂×D₅	1	1	yes	characteristic, complemented
751	#896	—	5	1	no	—
752	#896	—	5	1	no	—
753	#896	—	5	1	no	—
754	#896	C₂×D₅	1	1	yes	characteristic, complemented
755	#895	—	5	1	no	—
756	#895	C₂×D₅	1	1	yes	characteristic, complemented
757	#894	—	5	1	no	—
758	#894	—	5	1	no	—
759	#894	C₂×D₅	1	1	yes	characteristic, complemented
760	#894	C₂×D₅	1	1	yes	characteristic, complemented
761	#890	—	5	1	no	—
762	#890	—	5	1	no	—
763	#889	—	5	1	no	—
764	#889	—	5	1	no	—
765	#889	—	5	1	no	—
766	#889	C₂×D₅	1	1	yes	characteristic, complemented
767	#888	—	5	1	no	—
768	#888	—	5	1	no	—
769	#886	—	5	1	no	—
770	#886	—	5	1	no	—
771	#885	—	5	1	no	—
772	#885	—	5	1	no	—
773	#885	—	5	1	no	—
774	#885	—	5	1	no	—
775	#885	—	5	1	no	—
776	#885	—	5	1	no	—
777	#885	—	5	1	no	—
778	#885	C₂×D₅	1	1	yes	characteristic
779	#884	—	5	1	no	—
780	#884	—	5	1	no	—
781	#884	—	5	1	no	—
782	#884	—	5	1	no	—
783	#884	—	5	1	no	—
784	#884	—	5	1	no	—
785	#884	C₂×D₅	1	1	yes	characteristic
786	#884	C₂×D₅	1	1	yes	characteristic, complemented
787	#883	—	5	1	no	—
788	#883	—	5	1	no	—
789	#883	—	5	1	no	—
790	#883	—	5	1	no	—
791	#883	—	5	1	no	—
792	#883	—	5	1	no	—
793	#883	—	5	1	no	—
794	#883	C₂×D₅	1	1	yes	characteristic, complemented
795	#882	—	5	1	no	—
796	#882	—	5	1	no	—
797	#879	—	5	1	no	—
798	#879	—	5	1	no	—
799	#879	—	5	1	no	—
800	#879	—	5	1	no	—
801	#879	—	5	1	no	—
802	#879	—	5	1	no	—
803	#879	—	5	1	no	—
804	#879	—	5	1	no	—
805	#878	—	5	1	no	—
806	#878	—	5	1	no	—
807	#878	—	5	1	no	—
808	#878	—	5	1	no	—
809	C₄×D₁₂	—	5	1	no	—
810	C₄×D₁₂	—	5	1	no	—
811	#872	—	5	1	no	—
812	#872	—	5	1	no	—
813	C₄²×D₃	—	5	1	no	—
814	C₄²×D₃	—	5	1	no	—
815	C₄×Dic₆	—	5	1	no	—
816	C₄×Dic₆	—	5	1	no	—
817	C₂³×D₅	—	3	1	no	—
818	C₂³×D₅	C₂²×D₃	1	1	yes	characteristic
819	C₂×C₅×Q₈	—	3	1	no	—
820	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
821	C₂×C₅×D₄	—	3	1	no	—
822	C₂×C₅×D₄	—	3	1	no	—
823	C₂×C₅×D₄	—	3	1	no	—
824	C₂×C₅×D₄	—	3	1	no	—
825	C₂×C₅×D₄	—	3	1	no	—
826	C₂×C₅×D₄	—	3	1	no	—
827	C₂²×C₄×C₅	—	3	1	no	—
828	C₂²×C₄×C₅	—	3	1	no	—
829	C₂²×C₄×C₅	—	3	1	no	—
830	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
831	C₂×C₂²⋊D₅	—	3	1	no	—
832	C₂×C₂²⋊D₅	—	3	1	no	—
833	C₂×C₂²⋊D₅	—	3	1	no	—
834	C₂×C₂²⋊D₅	—	3	1	no	—
835	C₂×C₂²⋊D₅	—	3	1	no	—
836	C₂×C₂²⋊D₅	—	3	1	no	—
837	C₂×C₂²⋊D₅	—	3	1	no	—
838	C₂×C₂²⋊D₅	—	3	1	no	—
839	C₂×C₂²⋊D₅	—	3	1	no	—
840	C₂×C₂²⋊D₅	—	3	1	no	—
841	C₂×C₂²⋊D₅	—	3	1	no	—
842	C₂×C₂²⋊D₅	—	3	1	no	—
843	C₂×C₂²⋊D₅	—	3	1	no	—
844	C₂×C₂²⋊D₅	—	3	1	no	—
845	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
846	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
847	C₂²×Dic₅	—	3	1	no	—
848	C₂²×Dic₅	—	3	1	no	—
849	C₂²×Dic₅	—	3	1	no	—
850	C₂²×Dic₅	—	3	1	no	—
851	C₂²×Dic₅	—	3	1	no	—
852	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
853	#713	—	4	2	no	—
854	#711	—	12	2	no	—
855	#711	—	12	2	no	—
856	#711	—	12	2	no	—
857	C₂×D₂₀	—	3	1	no	—
858	C₂×D₂₀	—	3	1	no	—
859	C₂×D₂₀	—	3	1	no	—
860	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
861	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
862	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
863	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
864	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
865	C₂×C₄×D₅	—	3	1	no	—
866	C₂×C₄×D₅	—	3	1	no	—
867	C₂×C₄×D₅	—	3	1	no	—
868	C₂×C₄×D₅	—	3	1	no	—
869	C₂×C₄×D₅	—	3	1	no	—
870	C₂×C₄×D₅	—	4	2	no	—
871	C₂×C₄×D₅	—	12	2	no	—
872	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
873	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
874	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
875	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
876	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
877	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
878	C₂×Dic₁₀	—	3	1	no	—
879	C₂×Dic₁₀	—	3	1	no	—
880	C₂×Dic₁₀	—	3	1	no	—
881	C₂×Dic₁₀	—	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	—	3	1	no	—
886	C₅×C₄⋊C₄	—	3	1	no	—
887	C₅×C₄⋊C₄	—	3	1	no	—
888	C₅×C₄⋊C₄	—	3	1	no	—
889	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
890	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
891	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
896	C₅×C₂²⋊C₄	—	3	1	no	—
897	C₅×C₂²⋊C₄	—	3	1	no	—
898	C₅×C₂²⋊C₄	—	3	1	no	—
899	C₅×C₂²⋊C₄	—	3	1	no	—
900	C₅×C₂²⋊C₄	—	3	1	no	—
901	C₅×C₂²⋊C₄	—	3	1	no	—
902	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
903	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
904	C₄²×C₅	—	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	—	3	1	no	—
910	C₂²⋊Dic₅	—	3	1	no	—
911	C₂²⋊Dic₅	—	3	1	no	—
912	C₂²⋊Dic₅	—	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	—	3	1	no	—
925	#685	—	3	1	no	—
926	#685	—	3	1	no	—
927	#685	—	3	1	no	—
928	#685	—	3	1	no	—
929	#685	—	3	1	no	—
930	#685	—	3	1	no	—
931	#685	—	3	1	no	—
932	#685	—	3	1	no	—
933	#685	C₂²×D₃	1	1	yes	characteristic
934	#685	C₂²×D₃	1	1	yes	characteristic
935	#685	C₂²×D₃	1	1	yes	characteristic
936	#685	C₂²×D₃	1	1	yes	characteristic
937	#685	C₂²×D₃	1	1	yes	characteristic
938	#685	C₂²×D₃	1	1	yes	characteristic
939	#685	C₂²×D₃	1	1	yes	characteristic
940	#685	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
950	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
951	#683	—	3	1	no	—
952	#683	—	3	1	no	—
953	#683	—	3	1	no	—
954	#683	—	3	1	no	—
955	#683	—	3	1	no	—
956	#683	—	3	1	no	—
957	#683	—	3	1	no	—
958	#683	—	3	1	no	—
959	#683	—	3	1	no	—
960	#683	—	3	1	no	—
961	#683	—	3	1	no	—
962	#683	—	3	1	no	—
963	#683	—	3	1	no	—
964	#683	—	3	1	no	—
965	#683	C₂²×D₃	1	1	yes	characteristic
966	#683	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
974	C₄×Dic₅	—	3	1	no	—
975	C₄×Dic₅	—	3	1	no	—
976	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
977	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
978	#563	—	15	1	no	—
979	#563	—	15	1	no	—
980	#563	—	15	1	no	—
981	#562	—	3	1	no	—
982	#562	—	15	1	no	—
983	#562	—	15	1	no	—
984	#562	—	15	1	no	—
985	#562	—	15	1	no	—
986	#562	—	15	1	no	—
987	H(3,𝔽₄)	—	15	1	no	—
988	#560	—	15	1	no	—
989	#560	—	15	1	no	—
990	#560	—	15	1	no	—
991	#560	—	15	1	no	—
992	#560	—	15	1	no	—
993	#560	—	15	1	no	—
994	#532	—	15	1	no	—
995	#532	—	15	1	no	—
996	#532	—	15	1	no	—
997	#529	—	15	1	no	—
998	#529	—	15	1	no	—
999	#529	—	15	1	no	—
1000	#529	—	15	1	no	—
1001	#529	—	15	1	no	—
1002	#529	—	15	1	no	—
1003	#525	—	5	1	no	—
1004	#525	—	15	1	no	—
1005	#525	—	15	1	no	—
1006	#525	—	15	1	no	—
1007	#525	—	15	1	no	—
1008	#525	—	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×C₅×D₃	—	2	1	no	—
1017	C₂×C₅×D₃	—	2	1	no	—
1018	C₂×C₅×D₃	—	2	1	no	—
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	—	2	1	no	—
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	—	2	1	no	—
1031	C₂×C₃×D₅	—	2	1	no	—
1032	C₂×C₃×D₅	—	2	1	no	—
1033	C₂×C₃×D₅	—	2	1	no	—
1034	C₂×C₃×D₅	—	2	1	no	—
1035	C₂×C₃×D₅	—	2	1	no	—
1036	C₂×C₃×D₅	—	2	1	no	—
1037	C₂×C₃×D₅	—	4	4	no	—
1038	D₃×D₅	—	4	4	no	—
1039	C₃×C₄×C₅	—	2	1	no	—
1040	C₃×C₄×C₅	—	2	1	no	—
1041	C₃×C₄×C₅	—	2	1	no	—
1042	C₃×C₄×C₅	—	2	1	no	—
1043	C₃×C₄×C₅	—	2	1	no	—
1044	C₃×C₄×C₅	—	2	1	no	—
1045	Dic₁₅	—	2	1	no	—
1046	Dic₁₅	—	2	1	no	—
1047	Dic₁₅	—	2	1	no	—
1048	Dic₁₅	—	2	1	no	—
1049	Dic₁₅	—	2	1	no	—
1050	Dic₁₅	—	2	1	no	—
1051	Dic₁₅	—	2	1	no	—
1052	C₃×Dic₅	—	2	1	no	—
1053	C₃×Dic₅	—	2	1	no	—
1054	C₃×Dic₅	—	2	1	no	—
1055	C₃×Dic₅	H(5,𝔽₂)	1	2	yes	—
1056	C₅×Dic₃	—	2	1	no	—
1057	C₅×Dic₃	—	2	1	no	—
1058	C₅×Dic₃	—	2	1	no	—
1059	C₅×Dic₃	—	2	1	no	—
1060	C₅×Dic₃	—	2	1	no	—
1061	C₂⁴×C₃	—	5	1	no	—
1062	C₂³×D₃	—	5	1	no	—
1063	C₃×#41	—	20	2	no	—
1064	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
1065	C₂×C₃×D₄	—	5	1	no	—
1066	C₂×C₃×D₄	—	5	1	no	—
1067	C₂×C₃×D₄	—	5	1	no	—
1068	C₂×C₃×D₄	—	5	1	no	—
1069	C₂×C₃×D₄	—	5	1	no	—
1070	C₂×C₃×D₄	—	5	1	no	—
1071	C₂×C₃×D₄	—	5	1	no	—
1072	C₂²×C₃×C₄	—	5	1	no	—
1073	C₂²×C₃×C₄	—	5	1	no	—
1074	C₂²×C₃×C₄	—	5	1	no	—
1075	C₂²×C₃×C₄	—	5	1	no	—
1076	C₂²×C₃×C₄	—	5	1	no	—
1077	C₂²×C₃×C₄	—	5	1	no	—
1078	C₂²×C₃×C₄	—	5	1	no	—
1079	C₂²×C₃×C₄	—	20	2	no	—
1080	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1081	C₂×#67	—	5	1	no	—
1082	C₂×#67	—	5	1	no	—
1083	C₂×#67	—	5	1	no	—
1084	C₂×#67	—	5	1	no	—
1085	C₂×#67	—	5	1	no	—
1086	C₂×#67	—	5	1	no	—
1087	C₂×#67	—	5	1	no	—
1088	C₂×#67	—	5	1	no	—
1089	C₂×#67	—	5	1	no	—
1090	C₂×#67	—	5	1	no	—
1091	C₂×#67	—	5	1	no	—
1092	C₂×#67	—	5	1	no	—
1093	C₂×#67	—	5	1	no	—
1094	C₂×#67	—	5	1	no	—
1095	C₂×#67	—	5	1	no	—
1096	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1097	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1098	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1099	C₂²×Dic₃	—	5	1	no	—
1100	C₂²×Dic₃	—	5	1	no	—
1101	C₂²×Dic₃	—	5	1	no	—
1102	#235	—	20	2	no	—
1103	#235	—	20	2	no	—
1104	#235	—	20	2	no	—
1105	C₂×D₁₂	—	5	1	no	—
1106	C₂×D₁₂	—	5	1	no	—
1107	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1108	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1109	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1110	C₂×C₄×D₃	—	5	1	no	—
1111	C₂×C₄×D₃	—	5	1	no	—
1112	C₂×C₄×D₃	—	5	1	no	—
1113	C₂×C₄×D₃	—	5	1	no	—
1114	C₂×C₄×D₃	—	5	1	no	—
1115	C₂×C₄×D₃	—	5	1	no	—
1116	C₂×C₄×D₃	—	5	1	no	—
1117	C₂×C₄×D₃	—	20	2	no	—
1118	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1119	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1120	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1121	C₂×Dic₆	—	5	1	no	—
1122	C₂×Dic₆	—	5	1	no	—
1123	C₂×Dic₆	—	5	1	no	—
1124	C₂×Dic₆	—	5	1	no	—
1125	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1126	C₃×C₄⋊C₄	—	5	1	no	—
1127	C₃×C₄⋊C₄	—	5	1	no	—
1128	C₃×C₄⋊C₄	—	5	1	no	—
1129	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1130	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1131	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1138	C₃×C₂²⋊C₄	—	5	1	no	—
1139	C₃×C₂²⋊C₄	—	5	1	no	—
1140	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1141	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1142	C₃×C₄²	—	5	1	no	—
1143	C₃×C₄²	—	5	1	no	—
1144	#217	—	5	1	no	—
1145	#217	—	5	1	no	—
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	—	5	1	no	—
1152	#217	—	5	1	no	—
1153	#217	—	5	1	no	—
1154	#217	—	5	1	no	—
1155	#217	—	5	1	no	—
1156	#217	—	5	1	no	—
1157	#217	—	5	1	no	—
1158	#217	—	5	1	no	—
1159	#217	—	5	1	no	—
1160	#217	—	5	1	no	—
1161	#217	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1167	(C₂×D₃)⋊C₄	—	5	1	no	—
1168	(C₂×D₃)⋊C₄	—	5	1	no	—
1169	(C₂×D₃)⋊C₄	—	5	1	no	—
1170	(C₂×D₃)⋊C₄	—	5	1	no	—
1171	(C₂×D₃)⋊C₄	—	5	1	no	—
1172	(C₂×D₃)⋊C₄	—	5	1	no	—
1173	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1174	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1175	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1176	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1177	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1178	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1179	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1180	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1181	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1182	C₄⋊Dic₃	—	5	1	no	—
1183	C₄⋊Dic₃	—	5	1	no	—
1184	C₄⋊Dic₃	—	5	1	no	—
1185	C₄⋊Dic₃	—	5	1	no	—
1186	C₄⋊Dic₃	—	5	1	no	—
1187	C₄⋊Dic₃	—	5	1	no	—
1188	C₄⋊Dic₃	—	5	1	no	—
1189	C₄⋊Dic₃	—	5	1	no	—
1190	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1191	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1192	Dic₃⋊C₄	—	5	1	no	—
1193	Dic₃⋊C₄	—	5	1	no	—
1194	Dic₃⋊C₄	—	5	1	no	—
1195	Dic₃⋊C₄	—	5	1	no	—
1196	Dic₃⋊C₄	—	5	1	no	—
1197	Dic₃⋊C₄	—	5	1	no	—
1198	Dic₃⋊C₄	—	5	1	no	—
1199	Dic₃⋊C₄	—	5	1	no	—
1200	Dic₃⋊C₄	—	5	1	no	—
1201	Dic₃⋊C₄	—	5	1	no	—
1202	Dic₃⋊C₄	—	5	1	no	—
1203	Dic₃⋊C₄	—	5	1	no	—
1204	Dic₃⋊C₄	—	5	1	no	—
1205	Dic₃⋊C₄	—	5	1	no	—
1206	Dic₃⋊C₄	—	5	1	no	—
1207	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1208	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1209	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1210	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1211	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1212	C₄×Dic₃	—	5	1	no	—
1213	C₄×Dic₃	—	5	1	no	—
1214	C₄×Dic₃	—	5	1	no	—
1215	C₄×Dic₃	—	5	1	no	—
1216	C₄×Dic₃	—	5	1	no	—
1217	C₄×Dic₃	—	5	1	no	—
1218	C₄×Dic₃	—	5	1	no	—
1219	C₄×Dic₃	—	5	1	no	—
1220	C₄×Dic₃	—	5	1	no	—
1221	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1222	C₂³×C₅	—	3	1	no	—
1223	C₂³×C₅	—	3	1	no	—
1224	C₂³×C₅	—	3	1	no	—
1225	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1226	C₂²×D₅	—	3	1	no	—
1227	C₂²×D₅	—	4	1	no	—
1228	C₂²×D₅	—	4	1	no	—
1229	C₂²×D₅	—	4	1	no	—
1230	C₂²×D₅	—	12	1	no	—
1231	C₂²×D₅	—	12	1	no	—
1232	C₂²×D₅	—	12	1	no	—
1233	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1234	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1235	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1236	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1237	C₅×Q₈	—	4	1	no	—
1238	C₅×Q₈	—	12	1	no	—
1239	C₅×D₄	—	12	1	no	—
1240	C₅×D₄	—	12	1	no	—
1241	C₅×D₄	—	12	1	no	—
1242	C₅×D₄	—	12	1	no	—
1243	C₅×D₄	—	12	1	no	—
1244	C₅×D₄	—	12	1	no	—
1245	C₂×C₄×C₅	—	3	1	no	—
1246	C₂×C₄×C₅	—	3	1	no	—
1247	C₂×C₄×C₅	—	3	1	no	—
1248	C₂×C₄×C₅	—	3	1	no	—
1249	C₂×C₄×C₅	—	3	1	no	—
1250	C₂×C₄×C₅	—	4	1	no	—
1251	C₂×C₄×C₅	—	12	1	no	—
1252	C₂×C₄×C₅	—	12	1	no	—
1253	C₂×C₄×C₅	—	12	1	no	—
1254	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1255	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1256	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1257	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1258	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1259	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1260	C₂²⋊D₅	—	4	1	no	—
1261	C₂²⋊D₅	—	4	1	no	—
1262	C₂²⋊D₅	—	12	1	no	—
1263	C₂²⋊D₅	—	12	1	no	—
1264	C₂²⋊D₅	—	12	1	no	—
1265	C₂²⋊D₅	—	12	1	no	—
1266	C₂²⋊D₅	—	12	1	no	—
1267	C₂²⋊D₅	—	12	1	no	—
1268	C₂²⋊D₅	—	12	1	no	—
1269	C₂²⋊D₅	—	12	1	no	—
1270	C₂²⋊D₅	—	12	1	no	—
1271	C₂²⋊D₅	—	12	1	no	—
1272	C₂²⋊D₅	—	12	1	no	—
1273	C₂²⋊D₅	—	12	1	no	—
1274	C₂²⋊D₅	—	12	1	no	—
1275	C₂²⋊D₅	—	12	1	no	—
1276	C₂×Dic₅	—	2	2	no	—
1277	C₂×Dic₅	—	3	1	no	—
1278	C₂×Dic₅	—	3	1	no	—
1279	C₂×Dic₅	—	3	1	no	—
1280	C₂×Dic₅	—	3	1	no	—
1281	C₂×Dic₅	—	3	1	no	—
1282	C₂×Dic₅	—	3	1	no	—
1283	C₂×Dic₅	—	3	1	no	—
1284	C₂×Dic₅	—	6	2	no	—
1285	C₂×Dic₅	—	6	2	no	—
1286	C₂×Dic₅	—	6	2	no	—
1287	C₂×Dic₅	—	12	1	no	—
1288	C₂×Dic₅	—	12	1	no	—
1289	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1290	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1291	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1292	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1293	D₂₀	—	4	1	no	—
1294	D₂₀	—	4	1	no	—
1295	D₂₀	—	4	1	no	—
1296	D₂₀	—	4	1	no	—
1297	D₂₀	—	4	1	no	—
1298	D₂₀	—	12	1	no	—
1299	D₂₀	—	12	1	no	—
1300	D₂₀	—	12	1	no	—
1301	C₄×D₅	—	2	2	no	—
1302	C₄×D₅	—	2	2	no	—
1303	C₄×D₅	—	2	2	no	—
1304	C₄×D₅	—	2	2	no	—
1305	C₄×D₅	—	4	1	no	—
1306	C₄×D₅	—	4	1	no	—
1307	C₄×D₅	—	6	2	no	—
1308	C₄×D₅	—	12	1	no	—
1309	C₄×D₅	—	12	1	no	—
1310	C₄×D₅	—	12	1	no	—
1311	C₄×D₅	—	12	1	no	—
1312	Dic₁₀	—	12	1	no	—
1313	Dic₁₀	—	12	1	no	—
1314	Dic₁₀	—	12	1	no	—
1315	Dic₁₀	—	12	1	no	—
1316	C₂×#41	—	5	1	no	—
1317	C₂×#41	—	15	1	no	—
1318	C₂×#41	—	15	1	no	—
1319	C₂×#41	—	15	1	no	—
1320	C₂³×C₄	—	5	1	no	—
1321	C₂³×C₄	—	15	1	no	—
1322	C₄⋊Q₈	—	15	1	no	—
1323	C₄⋊Q₈	—	15	1	no	—
1324	C₄⋊Q₈	—	15	1	no	—
1325	#127	—	15	1	no	—
1326	#127	—	15	1	no	—
1327	#127	—	15	1	no	—
1328	#126	—	15	1	no	—
1329	#126	—	15	1	no	—
1330	#126	—	15	1	no	—
1331	#126	—	15	1	no	—
1332	#126	—	15	1	no	—
1333	#126	—	15	1	no	—
1334	#126	—	15	1	no	—
1335	#126	—	15	1	no	—
1336	#126	—	15	1	no	—
1337	#126	—	15	1	no	—
1338	#126	—	15	1	no	—
1339	#126	—	15	1	no	—
1340	#125	—	3	1	no	—
1341	#125	—	15	1	no	—
1342	#125	—	15	1	no	—
1343	#125	—	15	1	no	—
1344	#125	—	15	1	no	—
1345	#125	—	15	1	no	—
1346	#124	—	3	1	no	—
1347	#124	—	3	1	no	—
1348	#124	—	15	1	no	—
1349	#124	—	15	1	no	—
1350	#124	—	15	1	no	—
1351	#124	—	15	1	no	—
1352	#124	—	15	1	no	—
1353	#124	—	15	1	no	—
1354	#124	—	15	1	no	—
1355	#124	—	15	1	no	—
1356	#124	—	15	1	no	—
1357	#124	—	15	1	no	—
1358	#123	—	3	1	no	—
1359	#123	—	3	1	no	—
1360	#123	—	3	1	no	—
1361	#123	—	3	1	no	—
1362	#123	—	5	1	no	—
1363	#123	—	5	1	no	—
1364	#123	—	15	1	no	—
1365	#123	—	15	1	no	—
1366	#123	—	15	1	no	—
1367	#123	—	15	1	no	—
1368	#123	—	15	1	no	—
1369	#123	—	15	1	no	—
1370	#123	—	15	1	no	—
1371	#123	—	15	1	no	—
1372	#123	—	15	1	no	—
1373	#123	—	15	1	no	—
1374	#123	—	15	1	no	—
1375	#123	—	15	1	no	—
1376	#123	—	15	1	no	—
1377	#123	—	15	1	no	—
1378	#123	—	15	1	no	—
1379	#123	—	15	1	no	—
1380	#123	—	15	1	no	—
1381	#123	—	15	1	no	—
1382	C₂²⋊Q₈	—	3	1	no	—
1383	C₂²⋊Q₈	—	3	1	no	—
1384	C₂²⋊Q₈	—	3	1	no	—
1385	C₂²⋊Q₈	—	5	1	no	—
1386	C₂²⋊Q₈	—	15	1	no	—
1387	C₂²⋊Q₈	—	15	1	no	—
1388	C₂²⋊Q₈	—	15	1	no	—
1389	C₂²⋊Q₈	—	15	1	no	—
1390	C₂²⋊Q₈	—	15	1	no	—
1391	C₂²⋊Q₈	—	15	1	no	—
1392	C₂²⋊Q₈	—	15	1	no	—
1393	C₂²⋊Q₈	—	15	1	no	—
1394	C₂²⋊Q₈	—	15	1	no	—
1395	C₂²⋊Q₈	—	15	1	no	—
1396	C₂²⋊Q₈	—	15	1	no	—
1397	C₂²⋊Q₈	—	15	1	no	—
1398	C₂²⋊Q₈	—	15	1	no	—
1399	C₂²⋊Q₈	D₃×D₅	1	1	yes	characteristic, complemented
1400	#121	—	3	1	no	—
1401	#121	—	3	1	no	—
1402	#121	—	3	1	no	—
1403	#121	—	3	1	no	—
1404	#121	—	5	1	no	—
1405	#121	—	5	1	no	—
1406	#121	—	15	1	no	—
1407	#121	—	15	1	no	—
1408	#121	—	15	1	no	—
1409	#121	—	15	1	no	—
1410	#121	—	15	1	no	—
1411	#121	—	15	1	no	—
1412	#121	—	15	1	no	—
1413	#121	—	15	1	no	—
1414	#121	—	15	1	no	—
1415	#121	—	15	1	no	—
1416	#121	—	15	1	no	—
1417	#121	—	15	1	no	—
1418	#121	—	15	1	no	—
1419	#121	—	15	1	no	—
1420	#121	—	15	1	no	—
1421	#121	—	15	1	no	—
1422	#121	—	15	1	no	—
1423	#121	—	15	1	no	—
1424	#121	—	15	1	no	—
1425	#121	—	15	1	no	—
1426	#121	—	15	1	no	—
1427	#121	—	15	1	no	—
1428	#121	—	15	1	no	—
1429	#121	—	15	1	no	—
1430	#120	—	5	1	no	—
1431	#120	—	5	1	no	—
1432	#120	—	15	1	no	—
1433	#120	—	15	1	no	—
1434	#120	—	15	1	no	—
1435	#120	—	15	1	no	—
1436	#120	—	15	1	no	—
1437	#120	—	15	1	no	—
1438	#120	—	15	1	no	—
1439	#120	—	15	1	no	—
1440	#120	—	15	1	no	—
1441	#120	—	15	1	no	—
1442	C₄×Q₈	—	15	1	no	—
1443	C₄×Q₈	—	15	1	no	—
1444	C₄×D₄	—	5	1	no	—
1445	C₄×D₄	—	5	1	no	—
1446	C₄×D₄	—	5	1	no	—
1447	C₄×D₄	—	5	1	no	—
1448	C₄×D₄	—	15	1	no	—
1449	C₄×D₄	—	15	1	no	—
1450	C₄×D₄	—	15	1	no	—
1451	C₄×D₄	—	15	1	no	—
1452	C₄×D₄	—	15	1	no	—
1453	C₄×D₄	—	15	1	no	—
1454	C₄×D₄	—	15	1	no	—
1455	C₄×D₄	—	15	1	no	—
1456	C₄×D₄	—	15	1	no	—
1457	C₄×D₄	—	15	1	no	—
1458	C₄×D₄	—	15	1	no	—
1459	C₄×D₄	—	15	1	no	—
1460	C₄×D₄	—	15	1	no	—
1461	C₄×D₄	—	15	1	no	—
1462	#117	—	5	1	no	—
1463	#117	—	15	1	no	—
1464	#117	—	15	1	no	—
1465	#117	—	15	1	no	—
1466	#117	—	15	1	no	—
1467	#117	—	15	1	no	—
1468	C₂×C₄²	—	15	1	no	—
1469	C₂×C₄²	—	15	1	no	—
1470	C₂×C₄²	—	15	1	no	—
1471	C₂×C₃×C₅	—	4	1	no	—
1472	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1473	C₂×C₃×C₅	#585	1	1	yes	characteristic
1474	C₂×C₃×C₅	#585	1	1	yes	characteristic
1475	D₁₅	—	4	1	no	—
1476	C₃×D₅	—	4	1	no	—
1477	C₃×D₅	—	4	1	no	—
1478	C₃×D₅	—	4	1	no	—
1479	C₃×D₅	—	4	1	no	—
1480	C₅×D₃	—	4	1	no	—
1481	C₅×D₃	—	4	1	no	—
1482	C₅×D₃	—	4	1	no	—
1483	C₂³×C₃	—	5	1	no	—
1484	C₂³×C₃	—	5	1	no	—
1485	C₂³×C₃	—	5	1	no	—
1486	C₂³×C₃	—	5	1	no	—
1487	C₂³×C₃	—	20	1	no	—
1488	C₂³×C₃	—	20	1	no	—
1489	C₂³×C₃	—	20	1	no	—
1490	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1491	C₂²×D₃	—	5	1	no	—
1492	C₂²×D₃	—	20	1	no	—
1493	C₂²×D₃	—	20	1	no	—
1494	C₂²×D₃	—	20	1	no	—
1495	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1496	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1497	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1498	C₃×Q₈	—	4	1	no	—
1499	C₃×D₄	—	20	1	no	—
1500	C₃×D₄	—	20	1	no	—
1501	C₃×D₄	—	20	1	no	—
1502	C₃×D₄	—	20	1	no	—
1503	C₃×D₄	—	20	1	no	—
1504	C₃×D₄	—	20	1	no	—
1505	C₃×D₄	—	20	1	no	—
1506	C₂×C₃×C₄	—	4	1	no	—
1507	C₂×C₃×C₄	—	5	1	no	—
1508	C₂×C₃×C₄	—	5	1	no	—
1509	C₂×C₃×C₄	—	5	1	no	—
1510	C₂×C₃×C₄	—	5	1	no	—
1511	C₂×C₃×C₄	—	10	2	no	—
1512	C₂×C₃×C₄	—	10	2	no	—
1513	C₂×C₃×C₄	—	10	2	no	—
1514	C₂×C₃×C₄	—	10	2	no	—
1515	C₂×C₃×C₄	—	10	2	no	—
1516	C₂×C₃×C₄	—	20	1	no	—
1517	C₂×C₃×C₄	—	20	1	no	—
1518	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1519	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1520	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1521	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1522	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1523	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1524	#67	—	4	1	no	—
1525	#67	—	4	1	no	—
1526	#67	—	4	1	no	—
1527	#67	—	20	1	no	—
1528	#67	—	20	1	no	—
1529	#67	—	20	1	no	—
1530	#67	—	20	1	no	—
1531	#67	—	20	1	no	—
1532	#67	—	20	1	no	—
1533	#67	—	20	1	no	—
1534	#67	—	20	1	no	—
1535	#67	—	20	1	no	—
1536	#67	—	20	1	no	—
1537	#67	—	20	1	no	—
1538	#67	—	20	1	no	—
1539	#67	—	20	1	no	—
1540	#67	—	20	1	no	—
1541	#67	—	20	1	no	—
1542	C₂×Dic₃	—	5	1	no	—
1543	C₂×Dic₃	—	5	1	no	—
1544	C₂×Dic₃	—	5	1	no	—
1545	C₂×Dic₃	—	5	1	no	—
1546	C₂×Dic₃	—	5	1	no	—
1547	C₂×Dic₃	—	5	1	no	—
1548	C₂×Dic₃	—	5	1	no	—
1549	C₂×Dic₃	—	20	1	no	—
1550	C₂×Dic₃	—	20	1	no	—
1551	C₂×Dic₃	—	20	1	no	—
1552	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1553	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1554	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1555	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1556	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1557	D₁₂	—	4	1	no	—
1558	D₁₂	—	4	1	no	—
1559	D₁₂	—	4	1	no	—
1560	D₁₂	—	20	1	no	—
1561	D₁₂	—	20	1	no	—
1562	C₄×D₃	—	4	1	no	—
1563	C₄×D₃	—	4	1	no	—
1564	C₄×D₃	—	4	1	no	—
1565	C₄×D₃	—	10	2	no	—
1566	C₄×D₃	—	10	2	no	—
1567	C₄×D₃	—	10	2	no	—
1568	C₄×D₃	—	10	2	no	—
1569	C₄×D₃	—	20	1	no	—
1570	C₄×D₃	—	20	1	no	—
1571	C₄×D₃	—	20	1	no	—
1572	Dic₆	—	4	1	no	—
1573	Dic₆	—	20	1	no	—
1574	Dic₆	—	20	1	no	—
1575	Dic₆	—	20	1	no	—
1576	Dic₆	—	20	1	no	—
1577	C₂²×C₅	—	2	1	no	—
1578	C₂²×C₅	—	2	1	no	—
1579	C₂²×C₅	—	2	1	no	—
1580	C₂²×C₅	—	6	1	no	—
1581	C₂²×C₅	—	6	1	no	—
1582	C₂²×C₅	—	6	1	no	—
1583	C₂²×C₅	—	6	1	no	—
1584	C₂²×C₅	—	6	1	no	—
1585	C₂²×C₅	—	6	1	no	—
1586	C₂²×C₅	—	6	1	no	—
1587	C₂²×C₅	—	6	1	no	—
1588	C₂²×C₅	—	6	1	no	—
1589	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1590	C₂×D₅	—	2	1	no	—
1591	C₂×D₅	—	2	1	no	—
1592	C₂×D₅	—	2	1	no	—
1593	C₂×D₅	—	2	1	no	—
1594	C₂×D₅	—	2	1	no	—
1595	C₂×D₅	—	2	1	no	—
1596	C₂×D₅	—	2	1	no	—
1597	C₂×D₅	—	2	1	no	—
1598	C₂×D₅	—	2	1	no	—
1599	C₂×D₅	—	2	1	no	—
1600	C₂×D₅	—	2	1	no	—
1601	C₂×D₅	—	2	1	no	—
1602	C₂×D₅	—	4	4	no	—
1603	C₂×D₅	—	6	1	no	—
1604	C₂×D₅	—	6	1	no	—
1605	C₂×D₅	—	6	1	no	—
1606	C₂×D₅	—	12	4	no	—
1607	C₄×C₅	—	2	1	no	—
1608	C₄×C₅	—	2	1	no	—
1609	C₄×C₅	—	2	1	no	—
1610	C₄×C₅	—	2	1	no	—
1611	C₄×C₅	—	2	1	no	—
1612	C₄×C₅	—	2	1	no	—
1613	C₄×C₅	—	6	1	no	—
1614	C₄×C₅	—	6	1	no	—
1615	C₄×C₅	—	6	1	no	—
1616	C₄×C₅	—	6	1	no	—
1617	C₄×C₅	—	6	1	no	—
1618	Dic₅	—	2	1	no	—
1619	Dic₅	—	2	1	no	—
1620	Dic₅	—	2	1	no	—
1621	Dic₅	—	6	1	no	—
1622	Dic₅	—	6	1	no	—
1623	Dic₅	—	6	1	no	—
1624	Dic₅	—	6	1	no	—
1625	Dic₅	—	6	1	no	—
1626	Dic₅	—	6	1	no	—
1627	Dic₅	—	6	1	no	—
1628	Dic₅	#1004	1	2	yes	—
1629	C₂⁴	—	5	1	no	—
1630	C₂⁴	—	15	1	no	—
1631	#41	—	20	2	no	—
1632	#41	—	60	2	no	—
1633	#41	—	60	2	no	—
1634	#41	—	60	2	no	—
1635	C₂×Q₈	—	3	1	no	—
1636	C₂×Q₈	—	15	1	no	—
1637	C₂×Q₈	—	15	1	no	—
1638	C₂×Q₈	—	15	1	no	—
1639	C₂×Q₈	—	15	1	no	—
1640	C₂×Q₈	C₂×D₃×D₅	1	1	yes	characteristic
1641	C₂×D₄	—	3	1	no	—
1642	C₂×D₄	—	3	1	no	—
1643	C₂×D₄	—	3	1	no	—
1644	C₂×D₄	—	3	1	no	—
1645	C₂×D₄	—	3	1	no	—
1646	C₂×D₄	—	3	1	no	—
1647	C₂×D₄	—	5	1	no	—
1648	C₂×D₄	—	5	1	no	—
1649	C₂×D₄	—	5	1	no	—
1650	C₂×D₄	—	5	1	no	—
1651	C₂×D₄	—	5	1	no	—
1652	C₂×D₄	—	5	1	no	—
1653	C₂×D₄	—	5	1	no	—
1654	C₂×D₄	—	15	1	no	—
1655	C₂×D₄	—	15	1	no	—
1656	C₂×D₄	—	15	1	no	—
1657	C₂×D₄	—	15	1	no	—
1658	C₂×D₄	—	15	1	no	—
1659	C₂×D₄	—	15	1	no	—
1660	C₂×D₄	—	15	1	no	—
1661	C₂×D₄	—	15	1	no	—
1662	C₂×D₄	—	15	1	no	—
1663	C₂×D₄	—	15	1	no	—
1664	C₂×D₄	—	15	1	no	—
1665	C₂×D₄	—	15	1	no	—
1666	C₂×D₄	—	15	1	no	—
1667	C₂×D₄	—	15	1	no	—
1668	C₂×D₄	—	15	1	no	—
1669	C₂×D₄	—	15	1	no	—
1670	C₂×D₄	—	15	1	no	—
1671	C₂²×C₄	—	3	1	no	—
1672	C₂²×C₄	—	3	1	no	—
1673	C₂²×C₄	—	3	1	no	—
1674	C₂²×C₄	—	5	1	no	—
1675	C₂²×C₄	—	5	1	no	—
1676	C₂²×C₄	—	5	1	no	—
1677	C₂²×C₄	—	5	1	no	—
1678	C₂²×C₄	—	5	1	no	—
1679	C₂²×C₄	—	5	1	no	—
1680	C₂²×C₄	—	5	1	no	—
1681	C₂²×C₄	—	15	1	no	—
1682	C₂²×C₄	—	15	1	no	—
1683	C₂²×C₄	—	15	1	no	—
1684	C₂²×C₄	—	15	1	no	—
1685	C₂²×C₄	—	15	1	no	—
1686	C₂²×C₄	—	15	1	no	—
1687	C₂²×C₄	—	15	1	no	—
1688	C₂²×C₄	—	15	1	no	—
1689	C₂²×C₄	—	15	1	no	—
1690	C₂²×C₄	—	15	1	no	—
1691	C₂²×C₄	—	20	2	no	—
1692	C₂²×C₄	—	60	2	no	—
1693	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
1694	C₄⋊C₄	—	3	1	no	—
1695	C₄⋊C₄	—	3	1	no	—
1696	C₄⋊C₄	—	3	1	no	—
1697	C₄⋊C₄	—	3	1	no	—
1698	C₄⋊C₄	—	3	1	no	—
1699	C₄⋊C₄	—	3	1	no	—
1700	C₄⋊C₄	—	3	1	no	—
1701	C₄⋊C₄	—	5	1	no	—
1702	C₄⋊C₄	—	5	1	no	—
1703	C₄⋊C₄	—	5	1	no	—
1704	C₄⋊C₄	—	15	1	no	—
1705	C₄⋊C₄	—	15	1	no	—
1706	C₄⋊C₄	—	15	1	no	—
1707	C₄⋊C₄	—	15	1	no	—
1708	C₄⋊C₄	—	15	1	no	—
1709	C₄⋊C₄	—	15	1	no	—
1710	C₄⋊C₄	—	15	1	no	—
1711	C₄⋊C₄	—	15	1	no	—
1712	C₄⋊C₄	—	15	1	no	—
1713	C₄⋊C₄	—	15	1	no	—
1714	C₄⋊C₄	—	15	1	no	—
1715	C₄⋊C₄	—	15	1	no	—
1716	C₄⋊C₄	—	15	1	no	—
1717	C₄⋊C₄	—	15	1	no	—
1718	C₄⋊C₄	—	15	1	no	—
1719	C₄⋊C₄	—	15	1	no	—
1720	C₄⋊C₄	—	15	1	no	—
1721	C₄⋊C₄	—	15	1	no	—
1722	C₄⋊C₄	—	15	1	no	—
1723	C₄⋊C₄	—	15	1	no	—
1724	C₄⋊C₄	—	15	1	no	—
1725	C₄⋊C₄	—	15	1	no	—
1726	C₄⋊C₄	—	15	1	no	—
1727	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1728	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1729	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1730	C₂²⋊C₄	—	3	1	no	—
1731	C₂²⋊C₄	—	3	1	no	—
1732	C₂²⋊C₄	—	3	1	no	—
1733	C₂²⋊C₄	—	3	1	no	—
1734	C₂²⋊C₄	—	3	1	no	—
1735	C₂²⋊C₄	—	3	1	no	—
1736	C₂²⋊C₄	—	3	1	no	—
1737	C₂²⋊C₄	—	3	1	no	—
1738	C₂²⋊C₄	—	3	1	no	—
1739	C₂²⋊C₄	—	3	1	no	—
1740	C₂²⋊C₄	—	5	1	no	—
1741	C₂²⋊C₄	—	5	1	no	—
1742	C₂²⋊C₄	—	5	1	no	—
1743	C₂²⋊C₄	—	5	1	no	—
1744	C₂²⋊C₄	—	5	1	no	—
1745	C₂²⋊C₄	—	5	1	no	—
1746	C₂²⋊C₄	—	5	1	no	—
1747	C₂²⋊C₄	—	5	1	no	—
1748	C₂²⋊C₄	—	15	1	no	—
1749	C₂²⋊C₄	—	15	1	no	—
1750	C₂²⋊C₄	—	15	1	no	—
1751	C₂²⋊C₄	—	15	1	no	—
1752	C₂²⋊C₄	—	15	1	no	—
1753	C₂²⋊C₄	—	15	1	no	—
1754	C₂²⋊C₄	—	15	1	no	—
1755	C₂²⋊C₄	—	15	1	no	—
1756	C₂²⋊C₄	—	15	1	no	—
1757	C₂²⋊C₄	—	15	1	no	—
1758	C₂²⋊C₄	—	15	1	no	—
1759	C₂²⋊C₄	—	15	1	no	—
1760	C₂²⋊C₄	—	15	1	no	—
1761	C₂²⋊C₄	—	15	1	no	—
1762	C₂²⋊C₄	—	15	1	no	—
1763	C₂²⋊C₄	—	15	1	no	—
1764	C₂²⋊C₄	—	15	1	no	—
1765	C₂²⋊C₄	—	15	1	no	—
1766	C₂²⋊C₄	—	15	1	no	—
1767	C₂²⋊C₄	—	15	1	no	—
1768	C₂²⋊C₄	—	15	1	no	—
1769	C₂²⋊C₄	—	15	1	no	—
1770	C₂²⋊C₄	—	15	1	no	—
1771	C₂²⋊C₄	—	15	1	no	—
1772	C₂²⋊C₄	—	15	1	no	—
1773	C₂²⋊C₄	—	15	1	no	—
1774	C₂²⋊C₄	—	15	1	no	—
1775	C₂²⋊C₄	—	15	1	no	—
1776	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1777	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1778	C₄²	—	3	1	no	—
1779	C₄²	—	5	1	no	—
1780	C₄²	—	5	1	no	—
1781	C₄²	—	15	1	no	—
1782	C₄²	—	15	1	no	—
1783	C₄²	—	15	1	no	—
1784	C₄²	—	15	1	no	—
1785	C₄²	—	15	1	no	—
1786	C₄²	—	15	1	no	—
1787	C₄²	—	15	1	no	—
1788	C₄²	—	15	1	no	—
1789	C₄²	—	15	1	no	—
1790	C₃×C₅	#3529	1	1	yes	characteristic, complemented, Hall
1791	C₂²×C₃	—	2	1	no	—
1792	C₂²×C₃	—	2	1	no	—
1793	C₂²×C₃	—	2	1	no	—
1794	C₂²×C₃	—	10	1	no	—
1795	C₂²×C₃	—	10	1	no	—
1796	C₂²×C₃	—	10	1	no	—
1797	C₂²×C₃	—	10	1	no	—
1798	C₂²×C₃	—	10	1	no	—
1799	C₂²×C₃	—	10	1	no	—
1800	C₂²×C₃	—	10	1	no	—
1801	C₂²×C₃	—	10	1	no	—
1802	C₂²×C₃	—	10	1	no	—
1803	C₂²×C₃	—	10	1	no	—
1804	C₂²×C₃	—	10	1	no	—
1805	C₂²×C₃	—	10	1	no	—
1806	C₂²×C₃	—	20	4	no	—
1807	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1808	C₂×D₃	—	2	1	no	—
1809	C₂×D₃	—	2	1	no	—
1810	C₂×D₃	—	2	1	no	—
1811	C₂×D₃	—	2	1	no	—
1812	C₂×D₃	—	2	1	no	—
1813	C₂×D₃	—	2	1	no	—
1814	C₂×D₃	—	2	1	no	—
1815	C₂×D₃	—	2	1	no	—
1816	C₂×D₃	—	2	1	no	—
1817	C₂×D₃	—	10	1	no	—
1818	C₂×D₃	—	10	1	no	—
1819	C₂×D₃	—	10	1	no	—
1820	C₂×D₃	—	20	4	no	—
1821	C₃×C₄	—	2	1	no	—
1822	C₃×C₄	—	2	1	no	—
1823	C₃×C₄	—	2	1	no	—
1824	C₃×C₄	—	2	1	no	—
1825	C₃×C₄	—	2	1	no	—
1826	C₃×C₄	—	2	1	no	—
1827	C₃×C₄	—	5	2	no	—
1828	C₃×C₄	—	10	1	no	—
1829	C₃×C₄	—	10	1	no	—
1830	C₃×C₄	—	10	1	no	—
1831	Dic₃	—	2	1	no	—
1832	Dic₃	—	2	1	no	—
1833	Dic₃	—	2	1	no	—
1834	Dic₃	—	2	1	no	—
1835	Dic₃	—	2	1	no	—
1836	Dic₃	—	10	1	no	—
1837	Dic₃	—	10	1	no	—
1838	Dic₃	—	10	1	no	—
1839	Dic₃	—	10	1	no	—
1840	Dic₃	—	10	1	no	—
1841	Dic₃	—	10	1	no	—
1842	Dic₃	—	10	1	no	—
1843	C₂×C₅	—	4	1	no	—
1844	C₂×C₅	—	12	1	no	—
1845	C₂×C₅	—	12	1	no	—
1846	C₂×C₅	—	12	1	no	—
1847	C₂×C₅	C₂×#1004	1	1	yes	characteristic
1848	C₂×C₅	#5964	1	1	yes	characteristic
1849	C₂×C₅	#5964	1	1	yes	characteristic
1850	D₅	—	4	1	no	—
1851	D₅	—	4	1	no	—
1852	D₅	—	4	1	no	—
1853	D₅	—	4	1	no	—
1854	D₅	—	12	1	no	—
1855	C₂³	—	3	1	no	—
1856	C₂³	—	3	1	no	—
1857	C₂³	—	3	1	no	—
1858	C₂³	—	5	1	no	—
1859	C₂³	—	5	1	no	—
1860	C₂³	—	5	1	no	—
1861	C₂³	—	5	1	no	—
1862	C₂³	—	15	1	no	—
1863	C₂³	—	20	1	no	—
1864	C₂³	—	20	1	no	—
1865	C₂³	—	20	1	no	—
1866	C₂³	—	60	1	no	—
1867	C₂³	—	60	1	no	—
1868	C₂³	—	60	1	no	—
1869	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1870	Q₈	—	4	1	no	—
1871	Q₈	—	12	1	no	—
1872	Q₈	—	60	1	no	—
1873	Q₈	—	60	1	no	—
1874	Q₈	—	60	1	no	—
1875	Q₈	—	60	1	no	—
1876	D₄	—	12	1	no	—
1877	D₄	—	12	1	no	—
1878	D₄	—	12	1	no	—
1879	D₄	—	12	1	no	—
1880	D₄	—	12	1	no	—
1881	D₄	—	12	1	no	—
1882	D₄	—	20	1	no	—
1883	D₄	—	20	1	no	—
1884	D₄	—	20	1	no	—
1885	D₄	—	20	1	no	—
1886	D₄	—	20	1	no	—
1887	D₄	—	20	1	no	—
1888	D₄	—	20	1	no	—
1889	D₄	—	60	1	no	—
1890	D₄	—	60	1	no	—
1891	D₄	—	60	1	no	—
1892	D₄	—	60	1	no	—
1893	D₄	—	60	1	no	—
1894	D₄	—	60	1	no	—
1895	D₄	—	60	1	no	—
1896	D₄	—	60	1	no	—
1897	D₄	—	60	1	no	—
1898	D₄	—	60	1	no	—
1899	D₄	—	60	1	no	—
1900	D₄	—	60	1	no	—
1901	D₄	—	60	1	no	—
1902	D₄	—	60	1	no	—
1903	D₄	—	60	1	no	—
1904	D₄	—	60	1	no	—
1905	D₄	—	60	1	no	—
1906	C₂×C₄	—	3	1	no	—
1907	C₂×C₄	—	3	1	no	—
1908	C₂×C₄	—	3	1	no	—
1909	C₂×C₄	—	3	1	no	—
1910	C₂×C₄	—	3	1	no	—
1911	C₂×C₄	—	4	1	no	—
1912	C₂×C₄	—	5	1	no	—
1913	C₂×C₄	—	5	1	no	—
1914	C₂×C₄	—	5	1	no	—
1915	C₂×C₄	—	5	1	no	—
1916	C₂×C₄	—	10	2	no	—
1917	C₂×C₄	—	10	2	no	—
1918	C₂×C₄	—	10	2	no	—
1919	C₂×C₄	—	10	2	no	—
1920	C₂×C₄	—	10	2	no	—
1921	C₂×C₄	—	12	1	no	—
1922	C₂×C₄	—	12	1	no	—
1923	C₂×C₄	—	12	1	no	—
1924	C₂×C₄	—	15	1	no	—
1925	C₂×C₄	—	15	1	no	—
1926	C₂×C₄	—	15	1	no	—
1927	C₂×C₄	—	15	1	no	—
1928	C₂×C₄	—	15	1	no	—
1929	C₂×C₄	—	15	1	no	—
1930	C₂×C₄	—	15	1	no	—
1931	C₂×C₄	—	20	1	no	—
1932	C₂×C₄	—	20	1	no	—
1933	C₂×C₄	—	30	2	no	—
1934	C₂×C₄	—	30	2	no	—
1935	C₂×C₄	—	30	2	no	—
1936	C₂×C₄	—	30	2	no	—
1937	C₂×C₄	—	60	1	no	—
1938	C₂×C₄	—	60	1	no	—
1939	C₂×C₄	—	60	1	no	—
1940	C₂×C₄	—	60	1	no	—
1941	C₂×C₄	—	60	1	no	—
1942	C₂×C₄	—	60	1	no	—
1943	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1944	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1945	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1946	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1947	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1948	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1949	C₂×C₃	—	4	1	no	—
1950	C₂×C₃	—	20	1	no	—
1951	C₂×C₃	—	20	1	no	—
1952	C₂×C₃	—	20	1	no	—
1953	C₂×C₃	—	20	1	no	—
1954	C₂×C₃	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1955	C₂×C₃	#66285	1	1	yes	characteristic
1956	C₂×C₃	#66287	1	1	yes	characteristic
1957	D₃	—	4	1	no	—
1958	D₃	—	4	1	no	—
1959	D₃	—	4	1	no	—
1960	D₃	—	20	1	no	—
1961	C₅	#86048	1	1	yes	characteristic, complemented, Sylow
1962	C₂²	—	2	1	no	—
1963	C₂²	—	2	1	no	—
1964	C₂²	—	2	1	no	—
1965	C₂²	—	6	1	no	—
1966	C₂²	—	6	1	no	—
1967	C₂²	—	6	1	no	—
1968	C₂²	—	6	1	no	—
1969	C₂²	—	6	1	no	—
1970	C₂²	—	6	1	no	—
1971	C₂²	—	6	1	no	—
1972	C₂²	—	6	1	no	—
1973	C₂²	—	6	1	no	—
1974	C₂²	—	10	1	no	—
1975	C₂²	—	10	1	no	—
1976	C₂²	—	10	1	no	—
1977	C₂²	—	10	1	no	—
1978	C₂²	—	10	1	no	—
1979	C₂²	—	10	1	no	—
1980	C₂²	—	10	1	no	—
1981	C₂²	—	10	1	no	—
1982	C₂²	—	10	1	no	—
1983	C₂²	—	10	1	no	—
1984	C₂²	—	10	1	no	—
1985	C₂²	—	10	1	no	—
1986	C₂²	—	20	4	no	—
1987	C₂²	—	30	1	no	—
1988	C₂²	—	30	1	no	—
1989	C₂²	—	30	1	no	—
1990	C₂²	—	60	4	no	—
1991	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1992	C₄	—	2	1	no	—
1993	C₄	—	2	1	no	—
1994	C₄	—	2	1	no	—
1995	C₄	—	2	1	no	—
1996	C₄	—	2	1	no	—
1997	C₄	—	2	1	no	—
1998	C₄	—	5	2	no	—
1999	C₄	—	6	1	no	—
2000	C₄	—	6	1	no	—
2001	C₄	—	6	1	no	—
2002	C₄	—	6	1	no	—
2003	C₄	—	6	1	no	—
2004	C₄	—	10	1	no	—
2005	C₄	—	10	1	no	—
2006	C₄	—	10	1	no	—
2007	C₄	—	30	1	no	—
2008	C₄	—	30	1	no	—
2009	C₄	—	30	1	no	—
2010	C₄	—	30	1	no	—
2011	C₄	—	30	1	no	—
2012	C₄	—	30	1	no	—
2013	C₄	—	30	1	no	—
2014	C₃	#10618994	1	1	yes	characteristic, complemented, Sylow
2015	C₂	—	4	1	no	—
2016	C₂	—	12	1	no	—
2017	C₂	—	12	1	no	—
2018	C₂	—	12	1	no	—
2019	C₂	—	20	1	no	—
2020	C₂	—	20	1	no	—
2021	C₂	—	20	1	no	—
2022	C₂	—	20	1	no	—
2023	C₂	—	60	1	no	—
2024	C₂	D₅×#1004	1	1	yes	characteristic
2025	C₂	#11757048	1	1	yes	characteristic
2026	C₂	#11757059	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
hypercenter	C₂²⋊Q₈	D₃×D₅
hypocenter	C₃×C₅	#3529
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. #11756405	C₂	semidirect
2. C₅×#5647	C₂	semidirect
3. C₃×#65961	C₂	semidirect
4. #11755270	C₂	semidirect
5. #11755260	C₂	semidirect
6. #11755259	C₂	semidirect
7. #11755158	C₂	semidirect
8. #11754686	C₂	semidirect
9. #11754526	C₂	semidirect
10. #11754472	C₂	semidirect
11. #11754316	C₂	semidirect
12. #11753940	C₂	semidirect
13. #11753939	C₂	semidirect
14. #11753862	C₂	semidirect
15. #11753817	C₂	semidirect
16. #11753680	C₂	semidirect
17. #11753643	C₂	semidirect
18. #11753642	C₂	semidirect
19. #11753638	C₂	semidirect
20. #11753517	C₂	semidirect
21. #11753489	C₂	semidirect
22. #11753488	C₂	semidirect
23. #11753476	C₂	semidirect
24. #11753299	C₂	semidirect
25. #11753249	C₂	semidirect
26. #11753163	C₂	semidirect
27. #11753163	C₂	semidirect
28. #11753162	C₂	semidirect
29. #11752896	C₂	semidirect
30. #11752885	C₂	semidirect
31. #11752843	C₂	semidirect
34. C₂²×C₃×C₄×D₅	C₂²	semidirect
36. C₂×C₄×D₃×D₅	C₂²	semidirect
38. C₂×#6772	C₂²	semidirect
39. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
40. #91835	C₂²	semidirect
41. #91833	C₂²	semidirect
43. #91813	C₂²	semidirect
44. #91787	C₂²	semidirect
45. #91787	C₂²	semidirect
46. #91785	C₂²	semidirect
47. #91779	C₂²	semidirect
48. #91778	C₂²	semidirect
49. #91777	C₂²	semidirect
52. #91768	C₂²	semidirect
53. #91768	C₂²	semidirect
54. C₅×#947	C₂²	semidirect
55. C₅×#946	C₂²	semidirect
57. C₅×#929	C₂²	semidirect
58. C₅×#897	C₂²	semidirect
59. C₅×#896	C₂²	semidirect
60. C₅×#895	C₂²	semidirect
61. C₅×#894	C₂²	semidirect
62. C₅×#894	C₂²	semidirect
63. C₅×#889	C₂²	semidirect
66. C₅×#884	C₂²	semidirect
67. C₅×#883	C₂²	semidirect
68. C₃×#4092	C₂²	semidirect
72. C₃×#4040	C₂²	semidirect
74. C₃×#4039	C₂²	semidirect
75. C₃×#4038	C₂²	semidirect
77. C₃×#4028	C₂²	semidirect
79. C₃×#4027	C₂²	semidirect
83. #91565	C₂²	semidirect
86. #91563	C₂²	semidirect
87. #91563	C₂²	semidirect
89. Dic₅×#67	C₂²	semidirect
92. #91548	C₂²	semidirect
94. #91528	C₂²	semidirect
95. #91475	C₂²	semidirect
96. #91475	C₂²	semidirect
99. #91474	C₂²	semidirect
102. #91464	C₂²	semidirect
106. #91462	C₂²	semidirect
108. #91457	C₂²	semidirect
109. #91457	C₂²	semidirect
110. #91457	C₂²	semidirect
113. #91456	C₂²	semidirect
116. #91454	C₂²	semidirect
118. #91453	C₂²	semidirect
119. #91453	C₂²	semidirect
121. #91452	C₂²	semidirect
122. #91452	C₂²	semidirect
127. #91447	C₂²	semidirect
130. #91444	C₂²	semidirect
132. #91440	C₂²	semidirect
133. #91440	C₂²	semidirect
134. #91440	C₂²	semidirect
135. #91440	C₂²	semidirect
136. #91440	C₂²	semidirect
137. #91440	C₂²	semidirect
138. #91436	C₂²	semidirect
139. #91431	C₂²	semidirect
140. #91427	C₂²	semidirect
141. #91422	C₂²	semidirect
142. #91422	C₂²	semidirect
143. #91421	C₂²	semidirect
144. #91417	C₂²	semidirect
145. #91416	C₂²	semidirect
146. Dic₅×D₁₂	C₂²	semidirect
147. #91414	C₂²	semidirect
148. #91413	C₂²	semidirect
151. #91408	C₂²	semidirect
152. #91408	C₂²	semidirect
153. #91408	C₂²	semidirect
154. #91408	C₂²	semidirect
156. #91407	C₂²	semidirect
157. #91407	C₂²	semidirect
158. #91405	C₂²	semidirect
159. #91402	C₂²	semidirect
160. #91398	C₂²	semidirect
161. C₄×D₃×Dic₅	C₂²	semidirect
162. C₄×D₃×Dic₅	C₂²	semidirect
163. C₄×D₅×Dic₃	C₂²	semidirect
164. #91379	C₂²	semidirect
166. #91367	C₂²	semidirect
167. #91366	C₂²	semidirect
168. #91366	C₂²	semidirect
169. #91366	C₂²	semidirect
171. #91362	C₂²	semidirect
172. #91361	C₂²	semidirect
173. #91361	C₂²	semidirect
174. #91360	C₂²	semidirect
175. #91358	C₂²	semidirect
176. #91358	C₂²	semidirect
177. #91355	C₂²	semidirect
179. #91352	C₂²	semidirect
180. #91349	C₂²	semidirect
181. #91349	C₂²	semidirect
182. #91346	C₂²	semidirect
183. #91341	C₂²	semidirect
184. #91335	C₂²	semidirect
185. Dic₅×Dic₆	C₂²	semidirect
186. #91328	C₂²	semidirect
187. #91323	C₂²	semidirect
209. #65961	D₃	semidirect
391. #5647	D₅	semidirect
417. C₂²×C₄×D₅	C₂×D₃	semidirect
428. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
437. #4092	C₂×D₃	semidirect
498. #4040	C₂×D₃	semidirect
503. #4039	C₂×D₃	semidirect
507. #4038	C₂×D₃	semidirect
544. #4028	C₂×D₃	semidirect
554. #4027	C₂×D₃	semidirect
671. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
685. #947	C₂×D₅	semidirect
687. #946	C₂×D₅	semidirect
724. #929	C₂×D₅	semidirect
750. #897	C₂×D₅	semidirect
754. #896	C₂×D₅	semidirect
756. #895	C₂×D₅	semidirect
759. #894	C₂×D₅	semidirect
760. #894	C₂×D₅	semidirect
766. #889	C₂×D₅	semidirect
786. #884	C₂×D₅	semidirect
794. #883	C₂×D₅	semidirect
1399. C₂²⋊Q₈	D₃×D₅	semidirect
1790. C₃×C₅	#3529	semidirect
1961. C₅	#86048	semidirect
2014. C₃	#10618994	semidirect

Maximal subgroups

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

subgroup	index
#11756405	2
C₅×#5647	2
C₃×#65961	2
#11755270	2
#11755260	2
#11755259	2
#11755158	2
#11754686	2
#11754526	2
#11754472	2
#11754316	2
#11753940	2
#11753939	2
#11753862	2
#11753817	2
#11753680	2
#11753643	2
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