Subgroups — #14484159

Order 1920.

2264 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756409	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5654	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65983	C₂	1	1	yes	maximal, characteristic, complemented
4	#11754942	C₂	1	1	yes	maximal, characteristic, complemented
5	#11754893	C₂	1	1	yes	maximal, characteristic, complemented
6	#11754849	C₂	1	1	yes	maximal, characteristic, complemented
7	D₃×D₄×Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
8	#11754580	C₂	1	1	yes	maximal, characteristic, complemented
9	Dic₅×#235	C₂	1	1	yes	maximal, characteristic, complemented
10	#11754343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#91398	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753581	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753572	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753571	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753566	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753535	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753488	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753457	C₂	1	1	yes	maximal, characteristic, complemented
19	#11753402	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753132	C₂	1	1	yes	maximal, characteristic, complemented
21	#11753121	C₂	1	1	yes	maximal, characteristic, complemented
22	#11753031	C₂	1	1	yes	maximal, characteristic, complemented
23	#11753010	C₂	1	1	yes	maximal, characteristic, complemented
24	#11752995	C₂	1	1	yes	maximal, characteristic, complemented
25	#11752990	C₂	1	1	yes	maximal, characteristic, complemented
26	#11752895	C₂	1	1	yes	maximal, characteristic, complemented
27	#11752885	C₂	1	1	yes	maximal, characteristic, complemented
28	#11752840	C₂	1	1	yes	maximal, characteristic, complemented
29	#11752840	C₂	1	1	yes	maximal, characteristic, complemented
30	D₃×#4023	C₂	1	1	yes	maximal, characteristic, complemented
31	#11752820	C₂	1	1	yes	maximal, characteristic, complemented
32	#10618528	—	3	1	no	maximal, Hall
33	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
34	C₂×C₅×#235	C₂²	1	1	yes	characteristic
35	C₂²×D₃×Dic₅	C₂²	1	1	yes	characteristic
36	C₂²×D₃×Dic₅	C₂²	1	1	yes	characteristic
37	C₂×#6780	C₂²	1	1	yes	characteristic
38	C₂×#6772	C₂²	1	1	yes	characteristic
39	C₃×C₅×#123	C₂²	1	1	yes	characteristic
40	#91824	C₂²	1	1	yes	characteristic
41	D₄×Dic₁₅	C₂²	1	1	yes	characteristic
42	#91815	C₂²	1	1	yes	characteristic, complemented
43	C₂×#6712	C₂²	1	1	yes	characteristic, complemented
44	#91779	C₂²	1	1	yes	characteristic, complemented
45	#91778	C₂²	1	1	yes	characteristic, complemented
46	#91778	C₂²	1	1	yes	characteristic, complemented
47	#91776	C₂²	1	1	yes	characteristic, complemented
48	#91768	C₂²	1	1	yes	characteristic, complemented
49	#91768	C₂²	1	1	yes	characteristic, complemented
50	#91767	C₂²	1	1	yes	characteristic, complemented
51	#91767	C₂²	1	1	yes	characteristic, complemented
52	#91766	C₂²	1	1	yes	characteristic, complemented
53	#91766	C₂²	1	1	yes	characteristic, complemented
54	C₅×#939	C₂²	1	1	yes	characteristic
55	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
56	C₅×#896	C₂²	1	1	yes	characteristic
57	C₅×#895	C₂²	1	1	yes	characteristic
58	C₅×#894	C₂²	1	1	yes	characteristic
59	C₅×#893	C₂²	1	1	yes	characteristic
60	C₅×#885	C₂²	1	1	yes	characteristic
61	C₅×#884	C₂²	1	1	yes	characteristic
62	C₅×#882	C₂²	1	1	yes	characteristic
63	C₅×#882	C₂²	1	1	yes	characteristic
64	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
65	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₃×#4085	C₂²	1	1	yes	characteristic
67	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic
68	C₃×#4075	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
70	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
71	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
72	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
73	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
74	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
75	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4025	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4023	C₂²	1	1	yes	characteristic, complemented
80	#91575	C₂²	1	1	yes	characteristic, complemented
81	#91571	C₂²	1	1	yes	characteristic, complemented
82	#91571	C₂²	1	1	yes	characteristic, complemented
83	#91568	C₂²	1	1	yes	characteristic
84	#91568	C₂²	1	1	yes	characteristic
85	#67⋊Dic₅	C₂²	1	1	yes	characteristic
86	#67⋊Dic₅	C₂²	1	1	yes	characteristic
87	#91555	C₂²	1	1	yes	characteristic, complemented
88	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
89	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
90	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
91	Dic₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
92	Dic₅×#67	C₂²	1	1	yes	characteristic
93	Dic₅×#67	C₂²	1	1	yes	characteristic
94	Dic₅×#67	C₂²	1	1	yes	characteristic
95	Dic₅×#67	C₂²	1	1	yes	characteristic, complemented
96	Dic₅×#67	C₂²	1	1	yes	characteristic, complemented
97	Dic₅×#67	C₂²	1	1	yes	characteristic, complemented
98	#91549	C₂²	1	1	yes	characteristic
99	#91548	C₂²	1	1	yes	characteristic, complemented
100	C₂×#6669	C₂²	1	1	yes	characteristic, complemented
101	#91543	C₂²	1	1	yes	characteristic, complemented
102	C₂×(C₂×D₃)⋊Dic₅	C₂²	1	1	yes	characteristic
103	#91532	C₂²	1	1	yes	characteristic, complemented
104	#91530	C₂²	1	1	yes	characteristic, complemented
105	#91528	C₂²	1	1	yes	characteristic, complemented
106	C₂×Dic₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
107	#91525	C₂²	1	1	yes	characteristic
108	#91525	C₂²	1	1	yes	characteristic, complemented
109	#91464	C₂²	1	1	yes	characteristic, complemented
110	#91457	C₂²	1	1	yes	characteristic
111	#91457	C₂²	1	1	yes	characteristic
112	#91453	C₂²	1	1	yes	characteristic
113	#91453	C₂²	1	1	yes	characteristic, complemented
114	#91453	C₂²	1	1	yes	characteristic, complemented
115	#91452	C₂²	1	1	yes	characteristic, complemented
116	#91442	C₂²	1	1	yes	characteristic
117	#91442	C₂²	1	1	yes	characteristic, complemented
118	#91441	C₂²	1	1	yes	characteristic
119	#91441	C₂²	1	1	yes	characteristic, complemented
120	#91441	C₂²	1	1	yes	characteristic, complemented
121	#91440	C₂²	1	1	yes	characteristic, complemented
122	#91440	C₂²	1	1	yes	characteristic, complemented
123	#91436	C₂²	1	1	yes	characteristic, complemented
124	#91435	C₂²	1	1	yes	characteristic
125	#91435	C₂²	1	1	yes	characteristic
126	#91432	C₂²	1	1	yes	characteristic, complemented
127	#91432	C₂²	1	1	yes	characteristic, complemented
128	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
129	#91423	C₂²	1	1	yes	characteristic
130	#91423	C₂²	1	1	yes	characteristic
131	#91423	C₂²	1	1	yes	characteristic
132	#91423	C₂²	1	1	yes	characteristic, complemented
133	#91423	C₂²	1	1	yes	characteristic, complemented
134	#91421	C₂²	1	1	yes	characteristic, complemented
135	#91417	C₂²	1	1	yes	characteristic
136	Dic₅×D₁₂	C₂²	1	1	yes	characteristic
137	Dic₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
138	Dic₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
139	Dic₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
140	#91414	C₂²	1	1	yes	characteristic, complemented
141	#91410	C₂²	1	1	yes	characteristic
142	#91400	C₂²	1	1	yes	characteristic
143	#91400	C₂²	1	1	yes	characteristic
144	#91400	C₂²	1	1	yes	characteristic, complemented
145	D₃×#683	C₂²	1	1	yes	characteristic, complemented
146	D₃×#683	C₂²	1	1	yes	characteristic, complemented
147	#91398	C₂²	1	1	yes	characteristic
148	#91398	C₂²	1	1	yes	characteristic
149	#91398	C₂²	1	1	yes	characteristic
150	#91398	C₂²	1	1	yes	characteristic
151	#91398	C₂²	1	1	yes	characteristic
152	#91398	C₂²	1	1	yes	characteristic, complemented
153	#91398	C₂²	1	1	yes	characteristic, complemented
154	#91398	C₂²	1	1	yes	characteristic, complemented
155	#91398	C₂²	1	1	yes	characteristic, complemented
156	#91398	C₂²	1	1	yes	characteristic, complemented
157	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
158	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
159	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
160	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
161	#91394	C₂²	1	1	yes	characteristic, complemented
162	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
163	#91382	C₂²	1	1	yes	characteristic, complemented
164	#91379	C₂²	1	1	yes	characteristic, complemented
165	#91371	C₂²	1	1	yes	characteristic, complemented
166	#91371	C₂²	1	1	yes	characteristic, complemented
167	#91370	C₂²	1	1	yes	characteristic, complemented
168	#91369	C₂²	1	1	yes	characteristic, complemented
169	#91367	C₂²	1	1	yes	characteristic, complemented
170	#91367	C₂²	1	1	yes	characteristic, complemented
171	#91362	C₂²	1	1	yes	characteristic, complemented
172	#91352	C₂²	1	1	yes	characteristic
173	#91352	C₂²	1	1	yes	characteristic, complemented
174	#91346	C₂²	1	1	yes	characteristic, complemented
175	#91343	C₂²	1	1	yes	characteristic, complemented
176	#91342	C₂²	1	1	yes	characteristic, complemented
177	#91342	C₂²	1	1	yes	characteristic, complemented
178	#91341	C₂²	1	1	yes	characteristic, complemented
179	#91341	C₂²	1	1	yes	characteristic, complemented
180	#91340	C₂²	1	1	yes	characteristic, complemented
181	Dic₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
182	Dic₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
183	#91329	C₂²	1	1	yes	characteristic, complemented
184	#91327	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	#86150	—	5	1	no	maximal, Hall
189	C₅×#546	—	3	1	no	—
190	#41×Dic₅	—	3	1	no	—
191	#66158	—	3	1	no	—
192	#66140	—	3	1	no	—
193	C₂×D₄×Dic₅	—	3	1	no	—
194	#66014	—	3	1	no	—
195	#66005	—	3	1	no	—
196	#65984	—	3	1	no	—
197	#65984	—	3	1	no	—
198	#65983	—	3	1	no	—
199	#65983	D₃	1	1	yes	characteristic, complemented
200	#65976	—	3	1	no	—
201	#65956	—	3	1	no	—
202	#65950	—	3	1	no	—
203	#65935	—	3	1	no	—
204	#65935	—	3	1	no	—
205	#65934	—	3	1	no	—
206	#65934	—	3	1	no	—
207	#65934	—	3	1	no	—
208	#65921	—	3	1	no	—
209	#65921	—	3	1	no	—
210	#65920	—	3	1	no	—
211	#65920	—	3	1	no	—
212	#65875	—	3	1	no	—
213	#65873	—	3	1	no	—
214	C₄×#711	—	3	1	no	—
215	C₄×#711	—	3	1	no	—
216	#65829	—	3	1	no	—
217	#65829	—	3	1	no	—
218	C₂×#4023	—	3	1	no	—
219	C₂×#4023	—	3	1	no	—
220	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
221	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic
225	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic
226	C₂²×Dic₁₅	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×#67	C₂³	1	1	yes	characteristic
232	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
233	C₅×D₃×D₄	—	2	4	no	—
234	C₅×#235	—	2	4	no	—
235	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
236	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
237	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
238	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
239	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
240	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
241	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
242	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
243	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
246	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
247	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
248	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
250	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
251	C₂×#1204	C₂³	1	1	yes	characteristic
252	C₂×#1204	C₂³	1	1	yes	characteristic
253	C₂×#1201	C₂³	1	1	yes	characteristic
254	C₂×#1201	C₂³	1	1	yes	characteristic
255	C₂×#1201	C₂³	1	1	yes	characteristic
256	C₂×#1201	C₂³	1	1	yes	characteristic
257	C₂×D₃×Dic₅	—	2	4	no	—
258	C₂×D₃×Dic₅	—	2	4	no	—
259	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
260	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
261	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
263	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
265	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
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	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
273	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
274	#6772	—	2	4	no	—
275	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	#6719	C₂³	1	1	yes	characteristic
281	#6719	C₂³	1	1	yes	characteristic
282	#6719	C₂³	1	1	yes	characteristic
283	#6719	C₂³	1	1	yes	characteristic
284	#6719	C₂³	1	1	yes	characteristic
285	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
286	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
287	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
288	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
289	#6712	C₂³	1	1	yes	characteristic
290	#6712	C₂³	1	1	yes	characteristic
291	#6712	C₂³	1	1	yes	characteristic
292	#6712	C₂³	1	1	yes	characteristic
293	#6712	C₂³	1	1	yes	characteristic
294	#6712	C₂³	1	1	yes	characteristic
295	#6712	C₂³	1	1	yes	characteristic
296	#6712	C₂³	1	1	yes	characteristic
297	#6712	C₂³	1	1	yes	characteristic
298	#6712	C₂³	1	1	yes	characteristic
299	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
300	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
301	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
302	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
303	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
304	C₅×#217	C₂³	1	1	yes	characteristic
305	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
306	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
307	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
308	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
309	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
310	C₅×(C₂×D₃)⋊C₄	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×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
314	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
315	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
316	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
317	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
318	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
319	C₃×#685	C₂³	1	1	yes	characteristic
320	C₃×#685	C₂³	1	1	yes	characteristic
321	C₃×#685	C₂³	1	1	yes	characteristic
322	C₃×#685	C₂³	1	1	yes	characteristic
323	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
324	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
325	C₃×#683	C₂³	1	1	yes	characteristic
326	C₃×#683	C₂³	1	1	yes	characteristic
327	C₃×#683	C₂³	1	1	yes	characteristic
328	C₃×#683	C₂³	1	1	yes	characteristic
329	C₃×#683	C₂³	1	1	yes	characteristic
330	C₃×#683	C₂³	1	1	yes	characteristic
331	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
332	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
333	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
334	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
335	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
336	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
337	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
338	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
339	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
340	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
341	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
342	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
343	#6669	C₂³	1	1	yes	characteristic
344	#6669	C₂³	1	1	yes	characteristic
345	#6669	C₂³	1	1	yes	characteristic
346	#6669	C₂³	1	1	yes	characteristic
347	#6669	C₂³	1	1	yes	characteristic
348	#6669	C₂³	1	1	yes	characteristic
349	#6668	C₂³	1	1	yes	characteristic
350	#6668	C₂³	1	1	yes	characteristic
351	#6668	C₂³	1	1	yes	characteristic
352	#6668	C₂³	1	1	yes	characteristic
353	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
354	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
355	(C₂×D₃)⋊Dic₅	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	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
362	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
363	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
364	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
365	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
366	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
367	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
368	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
369	#6665	C₂³	1	1	yes	characteristic
370	#6665	C₂³	1	1	yes	characteristic
371	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
372	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
373	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
374	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
375	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
376	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
377	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
378	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
379	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
380	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
381	C₃×#529	—	5	1	no	—
382	#5709	—	5	1	no	—
383	#5708	—	5	1	no	—
384	#5705	—	5	1	no	—
385	#5702	—	5	1	no	—
386	#5693	—	5	1	no	—
387	#5693	—	5	1	no	—
388	#5679	—	5	1	no	—
389	#5670	—	5	1	no	—
390	#5658	—	5	1	no	—
391	#5655	—	5	1	no	—
392	#5654	D₅	1	1	yes	characteristic, complemented
393	#5650	—	5	1	no	—
394	#5637	—	5	1	no	—
395	#5636	—	5	1	no	—
396	#5610	—	5	1	no	—
397	#5601	—	5	1	no	—
398	#5580	—	5	1	no	—
399	#5578	—	5	1	no	—
400	#5547	—	5	1	no	—
401	#5547	—	5	1	no	—
402	C₄×D₃×D₄	—	5	1	no	—
403	#5538	—	5	1	no	—
404	#5538	—	5	1	no	—
405	C₄×#237	—	5	1	no	—
406	#5528	—	5	1	no	—
407	#5528	—	5	1	no	—
408	#5522	—	5	1	no	—
409	D₃×#117	—	5	1	no	—
410	C₄×#235	—	5	1	no	—
411	C₂×#872	—	5	1	no	—
412	C₂×C₅×#41	—	3	1	no	—
413	C₂²×C₅×D₄	—	3	1	no	—
414	C₂³×Dic₅	—	3	1	no	—
415	C₂³×Dic₅	—	3	1	no	—
416	C₂×#711	—	3	1	no	—
417	C₂×#711	—	3	1	no	—
418	C₅×#124	—	3	1	no	—
419	C₅×#123	—	3	1	no	—
420	C₅×#123	C₂×D₃	1	1	yes	characteristic
421	C₅×C₂²⋊Q₈	—	3	1	no	—
422	C₅×#121	—	3	1	no	—
423	C₅×#121	—	3	1	no	—
424	C₅×#121	—	3	1	no	—
425	C₅×#120	—	3	1	no	—
426	C₅×#120	—	3	1	no	—
427	C₄×C₅×D₄	—	3	1	no	—
428	C₄×C₅×D₄	—	3	1	no	—
429	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
430	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
431	#4099	—	3	1	no	—
432	#4099	—	3	1	no	—
433	C₂×C₂²⋊Dic₅	—	3	1	no	—
434	C₂×C₂²⋊Dic₅	—	3	1	no	—
435	C₂×C₂²⋊Dic₅	—	3	1	no	—
436	C₂×C₂²⋊Dic₅	—	3	1	no	—
437	#4092	—	3	1	no	—
438	Q₈×Dic₅	—	3	1	no	—
439	Q₈×Dic₅	—	3	1	no	—
440	#4090	—	3	1	no	—
441	#4085	—	3	1	no	—
442	#4085	—	3	1	no	—
443	#4085	—	3	1	no	—
444	#4085	—	3	1	no	—
445	#4085	—	3	1	no	—
446	#4085	C₂×D₃	1	1	yes	characteristic
447	#4084	—	3	1	no	—
448	#4082	—	3	1	no	—
449	#4082	—	3	1	no	—
450	#4082	—	3	1	no	—
451	#4081	—	3	1	no	—
452	#4081	—	3	1	no	—
453	#4081	—	3	1	no	—
454	#4081	—	3	1	no	—
455	#4081	—	3	1	no	—
456	#4081	—	3	1	no	—
457	#4081	—	3	1	no	—
458	#4081	—	3	1	no	—
459	D₄×Dic₅	—	3	1	no	—
460	D₄×Dic₅	—	3	1	no	—
461	D₄×Dic₅	—	3	1	no	—
462	D₄×Dic₅	—	3	1	no	—
463	D₄×Dic₅	—	3	1	no	—
464	D₄×Dic₅	—	3	1	no	—
465	D₄×Dic₅	—	3	1	no	—
466	D₄×Dic₅	—	3	1	no	—
467	D₄×Dic₅	—	3	1	no	—
468	D₄×Dic₅	—	3	1	no	—
469	D₄×Dic₅	—	3	1	no	—
470	D₄×Dic₅	—	3	1	no	—
471	D₄×Dic₅	—	3	1	no	—
472	D₄×Dic₅	—	3	1	no	—
473	D₄×Dic₅	—	3	1	no	—
474	D₄×Dic₅	C₂×D₃	1	1	yes	characteristic
475	#4075	—	3	1	no	—
476	#4075	C₂×D₃	1	1	yes	characteristic, complemented
477	C₄×C₂²⋊D₅	—	3	1	no	—
478	C₄×C₂²⋊D₅	—	3	1	no	—
479	C₄×C₂²⋊D₅	—	3	1	no	—
480	C₄×C₂²⋊D₅	—	3	1	no	—
481	#4072	—	3	1	no	—
482	#4072	—	3	1	no	—
483	#4072	—	3	1	no	—
484	C₂×C₄⋊Dic₅	—	3	1	no	—
485	#4070	—	3	1	no	—
486	#4070	—	3	1	no	—
487	#4070	—	3	1	no	—
488	#4070	—	3	1	no	—
489	C₂×#683	—	3	1	no	—
490	C₂×#683	—	3	1	no	—
491	C₂×#683	—	3	1	no	—
492	C₂×#683	—	3	1	no	—
493	C₂×C₄×Dic₅	—	3	1	no	—
494	C₂×C₄×Dic₅	—	3	1	no	—
495	C₂×C₄×Dic₅	—	3	1	no	—
496	C₂×C₄×Dic₅	—	3	1	no	—
497	C₂×C₄×Dic₅	—	3	1	no	—
498	C₂×C₄×Dic₅	C₂×D₃	1	1	yes	characteristic, complemented
499	#4044	—	3	1	no	—
500	#4044	C₂×D₃	1	1	yes	characteristic, complemented
501	#4038	—	3	1	no	—
502	#4038	C₂×D₃	1	1	yes	characteristic, complemented
503	#4036	—	3	1	no	—
504	#4036	—	3	1	no	—
505	#4036	—	3	1	no	—
506	#4035	—	3	1	no	—
507	#4035	—	3	1	no	—
508	#4035	—	3	1	no	—
509	#4035	C₂×D₃	1	1	yes	characteristic, complemented
510	#4034	—	3	1	no	—
511	#4033	—	3	1	no	—
512	#4033	—	3	1	no	—
513	#4033	—	3	1	no	—
514	#4033	C₂×D₃	1	1	yes	characteristic, complemented
515	#4032	—	3	1	no	—
516	#4032	—	3	1	no	—
517	#4031	—	3	1	no	—
518	#4031	C₂×D₃	1	1	yes	characteristic, complemented
519	#4029	—	3	1	no	—
520	#4029	—	3	1	no	—
521	#4027	—	3	1	no	—
522	#4027	—	3	1	no	—
523	#4027	—	3	1	no	—
524	#4027	—	3	1	no	—
525	#4027	C₂×D₃	1	1	yes	characteristic, complemented
526	#4027	C₂×D₃	1	1	yes	characteristic, complemented
527	#4025	—	3	1	no	—
528	#4025	—	3	1	no	—
529	#4025	—	3	1	no	—
530	#4025	—	3	1	no	—
531	#4025	—	3	1	no	—
532	#4025	—	3	1	no	—
533	#4025	—	3	1	no	—
534	#4025	—	3	1	no	—
535	#4025	—	3	1	no	—
536	#4025	C₂×D₃	1	1	yes	characteristic, complemented
537	#4024	—	3	1	no	—
538	#4024	—	3	1	no	—
539	#4024	—	3	1	no	—
540	#4024	—	3	1	no	—
541	#4024	—	3	1	no	—
542	#4024	—	3	1	no	—
543	#4024	—	3	1	no	—
544	#4024	C₂×D₃	1	1	yes	characteristic, complemented
545	#4023	—	3	1	no	—
546	#4023	—	3	1	no	—
547	#4023	—	3	1	no	—
548	#4023	—	3	1	no	—
549	#4023	—	3	1	no	—
550	#4023	—	3	1	no	—
551	#4023	—	3	1	no	—
552	#4023	—	3	1	no	—
553	#4023	—	3	1	no	—
554	#4023	—	3	1	no	—
555	#4023	—	3	1	no	—
556	#4023	—	3	1	no	—
557	#4023	—	3	1	no	—
558	#4023	—	3	1	no	—
559	#4023	—	3	1	no	—
560	#4023	—	3	1	no	—
561	#4023	—	3	1	no	—
562	#4023	C₂×D₃	1	1	yes	characteristic, complemented
563	C₄²×D₅	—	3	1	no	—
564	#4016	—	3	1	no	—
565	C₄×Dic₁₀	—	3	1	no	—
566	C₄×Dic₁₀	—	3	1	no	—
567	#3475	—	15	1	no	Sylow
568	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
569	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₅×D₃	—	2	2	no	—
571	C₂²×C₅×D₃	—	2	2	no	—
572	C₂²×C₅×D₃	—	2	2	no	—
573	C₂²×C₅×D₃	—	2	2	no	—
574	C₂²×C₅×D₃	—	4	1	no	—
575	C₂²×C₅×D₃	—	4	1	no	—
576	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
577	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
579	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
581	C₃×C₅×D₄	—	2	2	no	—
582	C₂×C₃×C₄×C₅	—	2	2	no	—
583	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
584	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
585	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
586	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₁₅	—	2	2	no	—
589	C₂×Dic₁₅	—	2	2	no	—
590	C₂×Dic₁₅	—	2	2	no	—
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	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
599	Dic₃₀	—	2	2	no	—
600	C₅×#67	—	2	2	no	—
601	C₅×#67	—	2	2	no	—
602	C₅×#67	—	4	1	no	—
603	C₅×#67	#41	1	4	yes	complemented
604	C₂×C₅×Dic₃	—	4	1	no	—
605	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₅×D₁₂	—	2	2	no	—
610	C₅×D₁₂	—	2	2	no	—
611	C₅×D₁₂	—	2	2	no	—
612	C₅×D₁₂	—	4	1	no	—
613	C₄×C₅×D₃	—	2	2	no	—
614	C₄×C₅×D₃	—	2	2	no	—
615	C₄×C₅×D₃	—	2	2	no	—
616	C₄×C₅×D₃	—	4	1	no	—
617	C₅×Dic₆	—	2	2	no	—
618	C₃×C₂²⋊D₅	—	2	2	no	—
619	C₃×C₂²⋊D₅	—	4	1	no	—
620	C₂×C₃×Dic₅	—	2	2	no	—
621	C₂×C₃×Dic₅	—	2	2	no	—
622	C₂×C₃×Dic₅	—	4	1	no	—
623	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
624	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
627	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
628	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
629	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
630	C₃×C₄×D₅	—	2	2	no	—
631	C₃×Dic₁₀	—	4	1	no	—
632	#1204	—	2	2	no	—
633	#1204	—	4	1	no	—
634	#1201	—	2	2	no	—
635	#1201	—	2	2	no	—
636	#1201	—	2	2	no	—
637	#1201	—	4	1	no	—
638	D₃×Dic₅	—	2	2	no	—
639	D₃×Dic₅	—	2	2	no	—
640	D₃×Dic₅	—	2	2	no	—
641	D₃×Dic₅	—	2	2	no	—
642	D₃×Dic₅	—	2	2	no	—
643	D₃×Dic₅	—	2	2	no	—
644	D₃×Dic₅	—	2	2	no	—
645	D₃×Dic₅	—	2	2	no	—
646	D₃×Dic₅	—	4	1	no	—
647	D₃×Dic₅	—	4	1	no	—
648	D₃×Dic₅	—	4	1	no	—
649	D₃×Dic₅	#41	1	4	yes	complemented
650	D₅×Dic₃	—	2	2	no	—
651	D₅×Dic₃	—	4	1	no	—
652	C₂×#237	—	5	1	no	—
653	C₂×D₃×D₄	C₂×D₅	1	1	yes	characteristic
654	C₂×#235	—	5	1	no	—
655	C₂×#235	C₂×D₅	1	1	yes	characteristic
656	C₂²×C₄×D₃	—	5	1	no	—
657	C₂²×C₄×D₃	—	5	1	no	—
658	C₃×#126	—	5	1	no	—
659	C₃×#126	—	5	1	no	—
660	C₃×#125	—	5	1	no	—
661	C₃×#124	—	5	1	no	—
662	C₃×#123	—	5	1	no	—
663	C₃×#123	C₂×D₅	1	1	yes	characteristic
664	C₃×C₂²⋊Q₈	—	5	1	no	—
665	C₃×#121	—	5	1	no	—
666	C₃×C₄×Q₈	—	5	1	no	—
667	C₃×C₄×D₄	—	5	1	no	—
668	C₃×C₄×D₄	—	5	1	no	—
669	C₃×C₄×D₄	—	5	1	no	—
670	C₃×#117	—	5	1	no	—
671	C₃×#117	—	5	1	no	—
672	C₂×C₃×C₄²	—	5	1	no	—
673	#947	—	5	1	no	—
674	#946	—	5	1	no	—
675	#946	—	5	1	no	—
676	#944	—	5	1	no	—
677	#939	—	5	1	no	—
678	#939	—	5	1	no	—
679	#939	—	5	1	no	—
680	#939	C₂×D₅	1	1	yes	characteristic
681	#937	—	5	1	no	—
682	#937	—	5	1	no	—
683	#935	—	5	1	no	—
684	#935	—	5	1	no	—
685	D₄×Dic₃	—	5	1	no	—
686	D₄×Dic₃	—	5	1	no	—
687	C₄×#67	—	5	1	no	—
688	C₄×#67	—	5	1	no	—
689	C₄×#67	—	5	1	no	—
690	C₄×#67	—	5	1	no	—
691	C₄×#67	—	5	1	no	—
692	C₄×#67	—	5	1	no	—
693	C₄×#67	—	5	1	no	—
694	C₄×#67	—	5	1	no	—
695	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
696	C₂×(C₂×D₃)⋊C₄	C₂×D₅	1	1	yes	characteristic
697	#926	—	5	1	no	—
698	#926	—	5	1	no	—
699	C₂×Dic₃⋊C₄	—	5	1	no	—
700	C₂×Dic₃⋊C₄	—	5	1	no	—
701	C₂×C₄×Dic₃	—	5	1	no	—
702	C₂×C₄×Dic₃	—	5	1	no	—
703	#898	—	5	1	no	—
704	#898	—	5	1	no	—
705	#898	—	5	1	no	—
706	#898	—	5	1	no	—
707	#898	—	5	1	no	—
708	#898	—	5	1	no	—
709	#897	—	5	1	no	—
710	#896	—	5	1	no	—
711	#896	—	5	1	no	—
712	#896	—	5	1	no	—
713	#896	—	5	1	no	—
714	#896	—	5	1	no	—
715	#896	C₂×D₅	1	1	yes	characteristic
716	#895	C₂×D₅	1	1	yes	characteristic
717	#894	—	5	1	no	—
718	#894	—	5	1	no	—
719	#894	—	5	1	no	—
720	#894	—	5	1	no	—
721	#894	—	5	1	no	—
722	#894	C₂×D₅	1	1	yes	characteristic
723	#893	—	5	1	no	—
724	#893	—	5	1	no	—
725	#893	C₂×D₅	1	1	yes	characteristic
726	#892	—	5	1	no	—
727	#892	—	5	1	no	—
728	#892	—	5	1	no	—
729	D₃×C₄⋊C₄	—	5	1	no	—
730	D₃×C₄⋊C₄	—	5	1	no	—
731	D₃×C₄⋊C₄	—	5	1	no	—
732	#890	—	5	1	no	—
733	#889	—	5	1	no	—
734	#889	—	5	1	no	—
735	#889	—	5	1	no	—
736	#889	—	5	1	no	—
737	#889	—	5	1	no	—
738	#889	—	5	1	no	—
739	#888	—	5	1	no	—
740	#887	—	5	1	no	—
741	#887	—	5	1	no	—
742	#887	—	5	1	no	—
743	#886	—	5	1	no	—
744	#886	—	5	1	no	—
745	#885	—	5	1	no	—
746	#885	—	5	1	no	—
747	#885	—	5	1	no	—
748	#885	C₂×D₅	1	1	yes	characteristic
749	#884	—	5	1	no	—
750	#884	—	5	1	no	—
751	#884	—	5	1	no	—
752	#884	C₂×D₅	1	1	yes	characteristic
753	#883	—	5	1	no	—
754	#883	—	5	1	no	—
755	#883	—	5	1	no	—
756	#883	—	5	1	no	—
757	#882	C₂×D₅	1	1	yes	characteristic
758	#882	C₂×D₅	1	1	yes	characteristic
759	#67⋊C₄	—	5	1	no	—
760	#67⋊C₄	—	5	1	no	—
761	#67⋊C₄	—	5	1	no	—
762	#67⋊C₄	—	5	1	no	—
763	#67⋊C₄	—	5	1	no	—
764	#67⋊C₄	—	5	1	no	—
765	#67⋊C₄	—	5	1	no	—
766	#67⋊C₄	C₂×D₅	1	1	yes	characteristic
767	D₃×C₂²⋊C₄	—	5	1	no	—
768	D₃×C₂²⋊C₄	—	5	1	no	—
769	D₃×C₂²⋊C₄	—	5	1	no	—
770	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
771	#879	—	5	1	no	—
772	#879	—	5	1	no	—
773	#879	—	5	1	no	—
774	#879	—	5	1	no	—
775	#878	—	5	1	no	—
776	#878	—	5	1	no	—
777	#878	—	5	1	no	—
778	#878	—	5	1	no	—
779	#877	—	5	1	no	—
780	#877	—	5	1	no	—
781	#877	—	5	1	no	—
782	#877	—	5	1	no	—
783	C₄×D₁₂	—	5	1	no	—
784	C₄×D₁₂	—	5	1	no	—
785	C₄×D₁₂	—	5	1	no	—
786	C₄×D₁₂	—	5	1	no	—
787	#872	—	5	1	no	—
788	#872	—	5	1	no	—
789	#872	—	5	1	no	—
790	#872	—	5	1	no	—
791	#872	—	5	1	no	—
792	#872	—	5	1	no	—
793	#872	—	5	1	no	—
794	#872	—	5	1	no	—
795	#872	—	5	1	no	—
796	#872	—	5	1	no	—
797	#872	—	5	1	no	—
798	#872	—	5	1	no	—
799	C₄²×D₃	—	5	1	no	—
800	C₄²×D₃	—	5	1	no	—
801	C₄²×D₃	—	5	1	no	—
802	C₄²×D₃	—	5	1	no	—
803	C₄×Dic₆	—	5	1	no	—
804	C₄×Dic₆	—	5	1	no	—
805	C₄×Dic₆	—	5	1	no	—
806	C₄×Dic₆	—	5	1	no	—
807	C₂⁴×C₅	—	3	1	no	—
808	C₂⁴×C₅	—	3	1	no	—
809	C₅×#41	—	6	4	no	—
810	C₂×C₅×Q₈	—	3	1	no	—
811	C₂×C₅×D₄	—	3	1	no	—
812	C₂×C₅×D₄	—	3	1	no	—
813	C₂×C₅×D₄	—	3	1	no	—
814	C₂×C₅×D₄	—	3	1	no	—
815	C₂×C₅×D₄	—	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	C₂×C₅×D₄	—	6	4	no	—
820	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
821	C₂²×C₄×C₅	—	3	1	no	—
822	C₂²×C₄×C₅	—	3	1	no	—
823	C₂²×C₄×C₅	—	3	1	no	—
824	C₂²×C₄×C₅	—	3	1	no	—
825	C₂²×C₄×C₅	—	3	1	no	—
826	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
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	C₂²×D₃	1	1	yes	characteristic
832	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
833	C₂²×Dic₅	—	3	1	no	—
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	—	3	1	no	—
841	C₂²×Dic₅	—	3	1	no	—
842	C₂²×Dic₅	—	3	1	no	—
843	C₂²×Dic₅	—	3	1	no	—
844	C₂²×Dic₅	—	3	1	no	—
845	C₂²×Dic₅	—	3	1	no	—
846	C₂²×Dic₅	—	3	1	no	—
847	C₂²×Dic₅	—	3	1	no	—
848	C₂²×Dic₅	—	6	4	no	—
849	C₂²×Dic₅	—	6	4	no	—
850	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
851	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
852	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
853	#711	—	6	4	no	—
854	#711	—	6	4	no	—
855	C₂×C₄×D₅	—	3	1	no	—
856	C₂×C₄×D₅	—	3	1	no	—
857	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
858	C₂×Dic₁₀	—	3	1	no	—
859	C₂×Dic₁₀	—	3	1	no	—
860	C₂×Dic₁₀	—	3	1	no	—
861	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
862	C₅×C₄⋊C₄	—	3	1	no	—
863	C₅×C₄⋊C₄	—	3	1	no	—
864	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
865	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
866	C₅×C₂²⋊C₄	—	3	1	no	—
867	C₅×C₂²⋊C₄	—	3	1	no	—
868	C₅×C₂²⋊C₄	—	3	1	no	—
869	C₅×C₂²⋊C₄	—	3	1	no	—
870	C₅×C₂²⋊C₄	—	3	1	no	—
871	C₅×C₂²⋊C₄	—	3	1	no	—
872	C₅×C₂²⋊C₄	—	3	1	no	—
873	C₅×C₂²⋊C₄	—	3	1	no	—
874	C₅×C₂²⋊C₄	—	3	1	no	—
875	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
876	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
877	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
878	C₄²×C₅	—	3	1	no	—
879	C₂²⋊Dic₅	—	3	1	no	—
880	C₂²⋊Dic₅	—	3	1	no	—
881	C₂²⋊Dic₅	—	3	1	no	—
882	C₂²⋊Dic₅	—	3	1	no	—
883	C₂²⋊Dic₅	—	3	1	no	—
884	C₂²⋊Dic₅	—	3	1	no	—
885	C₂²⋊Dic₅	—	3	1	no	—
886	C₂²⋊Dic₅	—	3	1	no	—
887	C₂²⋊Dic₅	—	3	1	no	—
888	C₂²⋊Dic₅	—	3	1	no	—
889	C₂²⋊Dic₅	—	3	1	no	—
890	C₂²⋊Dic₅	—	3	1	no	—
891	C₂²⋊Dic₅	—	3	1	no	—
892	C₂²⋊Dic₅	—	3	1	no	—
893	C₂²⋊Dic₅	—	3	1	no	—
894	C₂²⋊Dic₅	—	3	1	no	—
895	C₂²⋊Dic₅	—	3	1	no	—
896	C₂²⋊Dic₅	—	3	1	no	—
897	C₂²⋊Dic₅	—	3	1	no	—
898	C₂²⋊Dic₅	—	3	1	no	—
899	C₂²⋊Dic₅	—	3	1	no	—
900	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
901	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
902	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
903	#685	—	3	1	no	—
904	#685	—	3	1	no	—
905	#685	C₂²×D₃	1	1	yes	characteristic
906	#685	C₂²×D₃	1	1	yes	characteristic
907	#685	C₂²×D₃	1	1	yes	characteristic
908	#685	C₂²×D₃	1	1	yes	characteristic
909	C₄⋊Dic₅	—	3	1	no	—
910	C₄⋊Dic₅	—	3	1	no	—
911	C₄⋊Dic₅	—	3	1	no	—
912	C₄⋊Dic₅	—	3	1	no	—
913	C₄⋊Dic₅	—	3	1	no	—
914	C₄⋊Dic₅	—	3	1	no	—
915	C₄⋊Dic₅	—	3	1	no	—
916	C₄⋊Dic₅	—	3	1	no	—
917	C₄⋊Dic₅	—	3	1	no	—
918	C₄⋊Dic₅	—	3	1	no	—
919	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
920	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
921	#683	—	3	1	no	—
922	#683	—	3	1	no	—
923	#683	—	3	1	no	—
924	#683	—	3	1	no	—
925	#683	—	3	1	no	—
926	#683	—	3	1	no	—
927	#683	—	3	1	no	—
928	#683	—	3	1	no	—
929	#683	—	3	1	no	—
930	#683	—	3	1	no	—
931	#683	—	3	1	no	—
932	#683	—	3	1	no	—
933	#683	—	3	1	no	—
934	#683	—	3	1	no	—
935	#683	—	3	1	no	—
936	#683	—	3	1	no	—
937	#683	—	3	1	no	—
938	#683	—	3	1	no	—
939	#683	—	3	1	no	—
940	#683	—	3	1	no	—
941	#683	C₂²×D₃	1	1	yes	characteristic
942	#683	C₂²×D₃	1	1	yes	characteristic
943	#683	C₂²×D₃	1	1	yes	characteristic
944	#683	C₂²×D₃	1	1	yes	characteristic
945	#683	C₂²×D₃	1	1	yes	characteristic
946	#683	C₂²×D₃	1	1	yes	characteristic
947	C₄×Dic₅	—	3	1	no	—
948	C₄×Dic₅	—	3	1	no	—
949	C₄×Dic₅	—	3	1	no	—
950	C₄×Dic₅	—	3	1	no	—
951	C₄×Dic₅	—	3	1	no	—
952	C₄×Dic₅	—	3	1	no	—
953	C₄×Dic₅	—	3	1	no	—
954	C₄×Dic₅	—	3	1	no	—
955	C₄×Dic₅	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
963	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
964	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
965	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
966	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
967	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
968	#556	—	15	1	no	—
969	#555	—	15	1	no	—
970	#554	—	15	1	no	—
971	#553	—	15	1	no	—
972	#553	—	15	1	no	—
973	#552	—	15	1	no	—
974	#552	—	15	1	no	—
975	#552	—	15	1	no	—
976	#552	—	15	1	no	—
977	#551	—	15	1	no	—
978	#551	—	15	1	no	—
979	#551	—	15	1	no	—
980	#551	—	15	1	no	—
981	#547	—	15	1	no	—
982	#546	—	3	1	no	—
983	#546	—	15	1	no	—
984	#533	—	15	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	#525	—	15	1	no	—
992	#525	—	15	1	no	—
993	C₄×#41	—	15	1	no	—
994	C₄×#41	—	15	1	no	—
995	C₄×#41	—	15	1	no	—
996	C₂×C₄×D₄	—	15	1	no	—
997	C₂×#117	—	15	1	no	—
998	C₂×#117	—	15	1	no	—
999	C₂²×C₃×C₅	—	2	1	no	—
1000	C₂²×C₃×C₅	—	2	1	no	—
1001	C₂²×C₃×C₅	—	2	1	no	—
1002	C₂²×C₃×C₅	—	2	1	no	—
1003	C₂²×C₃×C₅	—	2	1	no	—
1004	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
1005	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1006	C₂×C₅×D₃	—	2	1	no	—
1007	C₂×C₅×D₃	—	2	1	no	—
1008	C₂×C₅×D₃	—	2	1	no	—
1009	C₂×C₅×D₃	—	2	1	no	—
1010	C₂×C₅×D₃	—	2	1	no	—
1011	C₂×C₅×D₃	—	2	1	no	—
1012	C₂×C₅×D₃	—	2	1	no	—
1013	C₂×C₅×D₃	—	2	1	no	—
1014	C₂×C₅×D₃	—	2	1	no	—
1015	C₂×C₅×D₃	—	2	1	no	—
1016	C₂×C₅×D₃	—	4	4	no	—
1017	C₂×C₅×D₃	—	4	4	no	—
1018	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1019	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1020	C₂×C₃×D₅	—	2	1	no	—
1021	C₂×C₃×D₅	—	2	1	no	—
1022	C₂×C₃×D₅	—	2	1	no	—
1023	C₃×C₄×C₅	—	2	1	no	—
1024	C₃×C₄×C₅	—	2	1	no	—
1025	C₃×C₄×C₅	—	2	1	no	—
1026	C₃×C₄×C₅	—	2	1	no	—
1027	C₃×C₄×C₅	—	2	1	no	—
1028	Dic₁₅	—	2	1	no	—
1029	Dic₁₅	—	2	1	no	—
1030	Dic₁₅	—	2	1	no	—
1031	Dic₁₅	—	2	1	no	—
1032	Dic₁₅	—	2	1	no	—
1033	Dic₁₅	—	2	1	no	—
1034	Dic₁₅	—	2	1	no	—
1035	Dic₁₅	C₂×#41	1	2	yes	—
1036	C₃×Dic₅	—	2	1	no	—
1037	C₃×Dic₅	—	2	1	no	—
1038	C₃×Dic₅	—	2	1	no	—
1039	C₃×Dic₅	—	2	1	no	—
1040	C₃×Dic₅	—	2	1	no	—
1041	C₃×Dic₅	—	2	1	no	—
1042	C₃×Dic₅	C₂×#41	1	2	yes	—
1043	C₅×Dic₃	—	2	1	no	—
1044	C₅×Dic₃	—	2	1	no	—
1045	C₅×Dic₃	—	2	1	no	—
1046	C₅×Dic₃	C₂×#41	1	2	yes	—
1047	C₂³×D₃	C₂²×D₅	1	1	yes	characteristic
1048	C₂³×D₃	C₂²×D₅	1	1	yes	characteristic
1049	C₂×C₃×Q₈	—	5	1	no	—
1050	C₂×C₃×D₄	—	5	1	no	—
1051	C₂×C₃×D₄	—	5	1	no	—
1052	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1053	C₂²×C₃×C₄	—	5	1	no	—
1054	C₂²×C₃×C₄	—	5	1	no	—
1055	C₂²×C₃×C₄	—	5	1	no	—
1056	C₂²×C₃×C₄	—	5	1	no	—
1057	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1058	C₂×#67	—	5	1	no	—
1059	C₂×#67	—	5	1	no	—
1060	C₂×#67	—	5	1	no	—
1061	C₂×#67	—	5	1	no	—
1062	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1063	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1064	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1065	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1066	C₂²×Dic₃	—	5	1	no	—
1067	C₂²×Dic₃	—	5	1	no	—
1068	C₂²×Dic₃	—	5	1	no	—
1069	C₂²×Dic₃	—	5	1	no	—
1070	C₂²×Dic₃	—	5	1	no	—
1071	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1072	#237	—	10	4	no	—
1073	D₃×D₄	—	2	4	no	—
1074	#235	—	2	4	no	—
1075	#235	—	10	4	no	—
1076	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1077	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1078	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1079	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1080	C₂×C₄×D₃	—	5	1	no	—
1081	C₂×C₄×D₃	—	5	1	no	—
1082	C₂×C₄×D₃	—	5	1	no	—
1083	C₂×C₄×D₃	—	5	1	no	—
1084	C₂×C₄×D₃	—	5	1	no	—
1085	C₂×C₄×D₃	—	5	1	no	—
1086	C₂×C₄×D₃	—	5	1	no	—
1087	C₂×C₄×D₃	—	5	1	no	—
1088	C₂×C₄×D₃	—	5	1	no	—
1089	C₂×C₄×D₃	—	5	1	no	—
1090	C₂×C₄×D₃	—	5	1	no	—
1091	C₂×C₄×D₃	—	5	1	no	—
1092	C₂×C₄×D₃	—	10	4	no	—
1093	C₂×C₄×D₃	—	10	4	no	—
1094	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1095	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1096	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1097	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1098	C₂×Dic₆	—	5	1	no	—
1099	C₂×Dic₆	—	5	1	no	—
1100	C₂×Dic₆	—	5	1	no	—
1101	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1102	C₃×C₄⋊C₄	—	5	1	no	—
1103	C₃×C₄⋊C₄	—	5	1	no	—
1104	C₃×C₄⋊C₄	—	5	1	no	—
1105	C₃×C₄⋊C₄	—	5	1	no	—
1106	C₃×C₄⋊C₄	—	5	1	no	—
1107	C₃×C₄⋊C₄	—	5	1	no	—
1108	C₃×C₄⋊C₄	—	5	1	no	—
1109	C₃×C₄⋊C₄	—	5	1	no	—
1110	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1111	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1112	C₃×C₂²⋊C₄	—	5	1	no	—
1113	C₃×C₂²⋊C₄	—	5	1	no	—
1114	C₃×C₂²⋊C₄	—	5	1	no	—
1115	C₃×C₂²⋊C₄	—	5	1	no	—
1116	C₃×C₂²⋊C₄	—	5	1	no	—
1117	C₃×C₂²⋊C₄	—	5	1	no	—
1118	C₃×C₂²⋊C₄	—	5	1	no	—
1119	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1120	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1121	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1122	C₃×C₄²	—	5	1	no	—
1123	C₃×C₄²	—	5	1	no	—
1124	C₃×C₄²	—	5	1	no	—
1125	C₃×C₄²	—	5	1	no	—
1126	C₃×C₄²	—	5	1	no	—
1127	C₃×C₄²	—	5	1	no	—
1128	#217	—	5	1	no	—
1129	#217	—	5	1	no	—
1130	#217	—	5	1	no	—
1131	#217	—	5	1	no	—
1132	#217	—	5	1	no	—
1133	#217	—	5	1	no	—
1134	#217	—	5	1	no	—
1135	#217	C₂²×D₅	1	1	yes	characteristic
1136	(C₂×D₃)⋊C₄	—	5	1	no	—
1137	(C₂×D₃)⋊C₄	—	5	1	no	—
1138	(C₂×D₃)⋊C₄	—	5	1	no	—
1139	(C₂×D₃)⋊C₄	—	5	1	no	—
1140	(C₂×D₃)⋊C₄	—	5	1	no	—
1141	(C₂×D₃)⋊C₄	—	5	1	no	—
1142	(C₂×D₃)⋊C₄	—	5	1	no	—
1143	(C₂×D₃)⋊C₄	—	5	1	no	—
1144	(C₂×D₃)⋊C₄	—	5	1	no	—
1145	(C₂×D₃)⋊C₄	—	5	1	no	—
1146	(C₂×D₃)⋊C₄	—	5	1	no	—
1147	(C₂×D₃)⋊C₄	—	5	1	no	—
1148	(C₂×D₃)⋊C₄	—	5	1	no	—
1149	(C₂×D₃)⋊C₄	—	5	1	no	—
1150	(C₂×D₃)⋊C₄	—	5	1	no	—
1151	(C₂×D₃)⋊C₄	—	5	1	no	—
1152	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1153	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1154	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1155	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1156	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1157	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1158	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1159	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1160	C₄⋊Dic₃	—	5	1	no	—
1161	C₄⋊Dic₃	—	5	1	no	—
1162	C₄⋊Dic₃	—	5	1	no	—
1163	C₄⋊Dic₃	—	5	1	no	—
1164	C₄⋊Dic₃	—	5	1	no	—
1165	C₄⋊Dic₃	—	5	1	no	—
1166	C₄⋊Dic₃	—	5	1	no	—
1167	C₄⋊Dic₃	—	5	1	no	—
1168	Dic₃⋊C₄	—	5	1	no	—
1169	Dic₃⋊C₄	—	5	1	no	—
1170	Dic₃⋊C₄	—	5	1	no	—
1171	Dic₃⋊C₄	—	5	1	no	—
1172	Dic₃⋊C₄	—	5	1	no	—
1173	Dic₃⋊C₄	—	5	1	no	—
1174	Dic₃⋊C₄	—	5	1	no	—
1175	Dic₃⋊C₄	—	5	1	no	—
1176	Dic₃⋊C₄	—	5	1	no	—
1177	Dic₃⋊C₄	—	5	1	no	—
1178	Dic₃⋊C₄	—	5	1	no	—
1179	Dic₃⋊C₄	—	5	1	no	—
1180	Dic₃⋊C₄	—	5	1	no	—
1181	Dic₃⋊C₄	—	5	1	no	—
1182	Dic₃⋊C₄	—	5	1	no	—
1183	Dic₃⋊C₄	—	5	1	no	—
1184	Dic₃⋊C₄	—	5	1	no	—
1185	Dic₃⋊C₄	—	5	1	no	—
1186	Dic₃⋊C₄	—	5	1	no	—
1187	Dic₃⋊C₄	—	5	1	no	—
1188	Dic₃⋊C₄	—	5	1	no	—
1189	Dic₃⋊C₄	—	5	1	no	—
1190	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1191	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1192	C₄×Dic₃	—	5	1	no	—
1193	C₄×Dic₃	—	5	1	no	—
1194	C₄×Dic₃	—	5	1	no	—
1195	C₄×Dic₃	—	5	1	no	—
1196	C₄×Dic₃	—	5	1	no	—
1197	C₄×Dic₃	—	5	1	no	—
1198	C₄×Dic₃	—	5	1	no	—
1199	C₄×Dic₃	—	5	1	no	—
1200	C₄×Dic₃	—	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	C₂²×D₅	1	1	yes	characteristic
1208	C₂³×C₅	—	3	1	no	—
1209	C₂³×C₅	—	3	1	no	—
1210	C₂³×C₅	—	3	1	no	—
1211	C₂³×C₅	—	3	1	no	—
1212	C₂³×C₅	—	6	2	no	—
1213	C₂³×C₅	—	6	2	no	—
1214	C₂³×C₅	—	6	2	no	—
1215	C₂³×C₅	—	6	2	no	—
1216	C₂³×C₅	—	12	1	no	—
1217	C₂³×C₅	—	12	1	no	—
1218	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1219	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1220	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1221	C₅×Q₈	—	6	2	no	—
1222	C₅×D₄	—	2	2	no	—
1223	C₅×D₄	—	3	4	no	—
1224	C₅×D₄	—	6	2	no	—
1225	C₅×D₄	—	6	2	no	—
1226	C₅×D₄	—	6	2	no	—
1227	C₅×D₄	—	6	2	no	—
1228	C₅×D₄	—	6	2	no	—
1229	C₅×D₄	—	12	1	no	—
1230	C₅×D₄	—	12	1	no	—
1231	C₂×C₄×C₅	—	2	2	no	—
1232	C₂×C₄×C₅	—	3	1	no	—
1233	C₂×C₄×C₅	—	3	1	no	—
1234	C₂×C₄×C₅	—	3	1	no	—
1235	C₂×C₄×C₅	—	3	1	no	—
1236	C₂×C₄×C₅	—	6	2	no	—
1237	C₂×C₄×C₅	—	6	2	no	—
1238	C₂×C₄×C₅	—	6	2	no	—
1239	C₂×C₄×C₅	—	12	1	no	—
1240	C₂×C₄×C₅	—	12	1	no	—
1241	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1242	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1243	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1244	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1245	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1246	C₂²⋊D₅	—	2	2	no	—
1247	C₂²⋊D₅	—	4	1	no	—
1248	C₂²⋊D₅	—	6	2	no	—
1249	C₂²⋊D₅	—	6	2	no	—
1250	C₂²⋊D₅	—	6	2	no	—
1251	C₂²⋊D₅	—	12	1	no	—
1252	C₂×Dic₅	—	2	2	no	—
1253	C₂×Dic₅	—	2	2	no	—
1254	C₂×Dic₅	—	3	1	no	—
1255	C₂×Dic₅	—	3	4	no	—
1256	C₂×Dic₅	—	3	1	no	—
1257	C₂×Dic₅	—	3	1	no	—
1258	C₂×Dic₅	—	3	1	no	—
1259	C₂×Dic₅	—	3	1	no	—
1260	C₂×Dic₅	—	3	1	no	—
1261	C₂×Dic₅	—	3	1	no	—
1262	C₂×Dic₅	—	3	1	no	—
1263	C₂×Dic₅	—	4	1	no	—
1264	C₂×Dic₅	—	6	2	no	—
1265	C₂×Dic₅	—	6	2	no	—
1266	C₂×Dic₅	—	6	2	no	—
1267	C₂×Dic₅	—	6	2	no	—
1268	C₂×Dic₅	—	6	2	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	—	6	2	no	—
1275	C₂×Dic₅	—	12	1	no	—
1276	C₂×Dic₅	—	12	1	no	—
1277	C₂×Dic₅	—	12	1	no	—
1278	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1279	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1280	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1281	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1282	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1283	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1284	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1285	C₄×D₅	—	2	2	no	—
1286	C₄×D₅	—	6	2	no	—
1287	C₄×D₅	—	12	1	no	—
1288	Dic₁₀	—	4	1	no	—
1289	Dic₁₀	—	6	2	no	—
1290	Dic₁₀	—	6	2	no	—
1291	Dic₁₀	—	12	1	no	—
1292	C₂×#41	—	3	1	no	—
1293	C₂×#41	—	15	1	no	—
1294	C₂×#41	—	15	1	no	—
1295	C₂²×D₄	—	3	1	no	—
1296	C₂³×C₄	—	15	1	no	—
1297	C₂³×C₄	—	15	1	no	—
1298	C₄⋊Q₈	—	15	1	no	—
1299	C₄⋊Q₈	—	15	1	no	—
1300	#126	—	5	1	no	—
1301	#126	—	5	1	no	—
1302	#126	—	15	1	no	—
1303	#126	—	15	1	no	—
1304	#126	—	15	1	no	—
1305	#126	—	15	1	no	—
1306	#126	—	15	1	no	—
1307	#126	—	15	1	no	—
1308	#126	—	15	1	no	—
1309	#126	—	15	1	no	—
1310	#126	—	15	1	no	—
1311	#126	—	15	1	no	—
1312	#125	—	5	1	no	—
1313	#125	—	15	1	no	—
1314	#125	—	15	1	no	—
1315	#125	—	15	1	no	—
1316	#125	—	15	1	no	—
1317	#125	—	15	1	no	—
1318	#125	—	15	1	no	—
1319	#125	—	15	1	no	—
1320	#124	—	3	1	no	—
1321	#124	—	5	1	no	—
1322	#124	—	15	1	no	—
1323	#124	—	15	1	no	—
1324	#124	—	15	1	no	—
1325	#124	—	15	1	no	—
1326	#123	—	3	1	no	—
1327	#123	—	5	1	no	—
1328	#123	—	15	1	no	—
1329	#123	—	15	1	no	—
1330	#123	—	15	1	no	—
1331	#123	—	15	1	no	—
1332	#123	—	15	1	no	—
1333	#123	—	15	1	no	—
1334	#123	—	15	1	no	—
1335	#123	—	15	1	no	—
1336	#123	—	15	1	no	—
1337	#123	—	15	1	no	—
1338	#123	—	15	1	no	—
1339	#123	—	15	1	no	—
1340	#123	—	15	1	no	—
1341	#123	D₃×D₅	1	1	yes	characteristic
1342	C₂²⋊Q₈	—	3	1	no	—
1343	C₂²⋊Q₈	—	5	1	no	—
1344	C₂²⋊Q₈	—	15	1	no	—
1345	C₂²⋊Q₈	—	15	1	no	—
1346	C₂²⋊Q₈	—	15	1	no	—
1347	C₂²⋊Q₈	—	15	1	no	—
1348	C₂²⋊Q₈	—	15	1	no	—
1349	C₂²⋊Q₈	—	15	1	no	—
1350	C₂²⋊Q₈	—	15	1	no	—
1351	C₂²⋊Q₈	—	15	1	no	—
1352	C₂²⋊Q₈	—	15	1	no	—
1353	C₂²⋊Q₈	—	15	1	no	—
1354	C₂²⋊Q₈	—	15	1	no	—
1355	C₂²⋊Q₈	—	15	1	no	—
1356	#121	—	3	1	no	—
1357	#121	—	3	1	no	—
1358	#121	—	3	1	no	—
1359	#121	—	5	1	no	—
1360	#121	—	15	1	no	—
1361	#121	—	15	1	no	—
1362	#121	—	15	1	no	—
1363	#121	—	15	1	no	—
1364	#121	—	15	1	no	—
1365	#121	—	15	1	no	—
1366	#120	—	3	1	no	—
1367	#120	—	3	1	no	—
1368	#120	—	15	1	no	—
1369	#120	—	15	1	no	—
1370	C₄×Q₈	—	5	1	no	—
1371	C₄×Q₈	—	15	1	no	—
1372	C₄×Q₈	—	15	1	no	—
1373	C₄×Q₈	—	15	1	no	—
1374	C₄×Q₈	—	15	1	no	—
1375	C₄×Q₈	—	15	1	no	—
1376	C₄×Q₈	—	15	1	no	—
1377	C₄×Q₈	—	15	1	no	—
1378	C₄×D₄	—	3	1	no	—
1379	C₄×D₄	—	3	1	no	—
1380	C₄×D₄	—	5	1	no	—
1381	C₄×D₄	—	5	1	no	—
1382	C₄×D₄	—	5	1	no	—
1383	C₄×D₄	—	15	1	no	—
1384	C₄×D₄	—	15	1	no	—
1385	C₄×D₄	—	15	1	no	—
1386	C₄×D₄	—	15	1	no	—
1387	C₄×D₄	—	15	1	no	—
1388	C₄×D₄	—	15	1	no	—
1389	C₄×D₄	—	15	1	no	—
1390	C₄×D₄	—	15	1	no	—
1391	C₄×D₄	—	15	1	no	—
1392	C₄×D₄	—	15	1	no	—
1393	C₄×D₄	—	15	1	no	—
1394	C₄×D₄	—	15	1	no	—
1395	C₄×D₄	—	15	1	no	—
1396	C₄×D₄	—	15	1	no	—
1397	C₄×D₄	—	15	1	no	—
1398	C₄×D₄	—	15	1	no	—
1399	C₄×D₄	—	15	1	no	—
1400	C₄×D₄	—	15	1	no	—
1401	C₄×D₄	—	15	1	no	—
1402	C₄×D₄	—	15	1	no	—
1403	C₄×D₄	—	15	1	no	—
1404	C₄×D₄	—	15	1	no	—
1405	C₄×D₄	—	15	1	no	—
1406	#117	—	5	1	no	—
1407	#117	—	5	1	no	—
1408	#117	—	15	1	no	—
1409	#117	—	15	1	no	—
1410	#117	—	15	1	no	—
1411	#117	—	15	1	no	—
1412	#117	—	15	1	no	—
1413	#117	—	15	1	no	—
1414	#117	—	15	1	no	—
1415	#117	—	15	1	no	—
1416	#117	—	15	1	no	—
1417	#117	—	15	1	no	—
1418	#117	—	15	1	no	—
1419	#117	—	15	1	no	—
1420	#117	—	15	1	no	—
1421	#117	—	15	1	no	—
1422	#117	—	15	1	no	—
1423	#117	—	15	1	no	—
1424	#117	—	15	1	no	—
1425	#117	—	15	1	no	—
1426	#117	—	15	1	no	—
1427	#117	—	15	1	no	—
1428	#117	—	15	1	no	—
1429	C₂×C₄⋊C₄	—	15	1	no	—
1430	C₂×C₄⋊C₄	—	15	1	no	—
1431	C₂×C₄⋊C₄	—	15	1	no	—
1432	C₂×C₄⋊C₄	—	15	1	no	—
1433	C₂×C₄⋊C₄	—	15	1	no	—
1434	C₂×C₂²⋊C₄	—	3	1	no	—
1435	C₂×C₂²⋊C₄	—	3	1	no	—
1436	C₂×C₂²⋊C₄	—	15	1	no	—
1437	C₂×C₂²⋊C₄	—	15	1	no	—
1438	C₂×C₂²⋊C₄	—	15	1	no	—
1439	C₂×C₂²⋊C₄	—	15	1	no	—
1440	C₂×C₄²	—	5	1	no	—
1441	C₂×C₄²	—	15	1	no	—
1442	C₂×C₄²	—	15	1	no	—
1443	C₂×C₄²	—	15	1	no	—
1444	C₂×C₄²	—	15	1	no	—
1445	C₂×C₄²	—	15	1	no	—
1446	C₂×C₄²	—	15	1	no	—
1447	C₂×C₃×C₅	—	2	2	no	—
1448	C₂×C₃×C₅	—	4	1	no	—
1449	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1450	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1451	C₂×C₃×C₅	#585	1	1	yes	characteristic
1452	C₃×D₅	—	4	1	no	—
1453	C₅×D₃	—	2	2	no	—
1454	C₅×D₃	—	2	2	no	—
1455	C₅×D₃	—	4	1	no	—
1456	C₅×D₃	—	4	1	no	—
1457	C₂³×C₃	—	5	1	no	—
1458	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1459	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1460	C₂²×D₃	—	2	2	no	—
1461	C₂²×D₃	—	2	2	no	—
1462	C₂²×D₃	—	2	2	no	—
1463	C₂²×D₃	—	2	2	no	—
1464	C₂²×D₃	—	4	1	no	—
1465	C₂²×D₃	—	4	1	no	—
1466	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1467	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1468	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1469	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1470	C₃×Q₈	—	20	1	no	—
1471	C₃×D₄	—	2	2	no	—
1472	C₃×D₄	—	10	2	no	—
1473	C₃×D₄	—	20	1	no	—
1474	C₂×C₃×C₄	—	2	2	no	—
1475	C₂×C₃×C₄	—	5	1	no	—
1476	C₂×C₃×C₄	—	5	1	no	—
1477	C₂×C₃×C₄	—	5	1	no	—
1478	C₂×C₃×C₄	—	5	1	no	—
1479	C₂×C₃×C₄	—	5	1	no	—
1480	C₂×C₃×C₄	—	5	1	no	—
1481	C₂×C₃×C₄	—	5	1	no	—
1482	C₂×C₃×C₄	—	10	2	no	—
1483	C₂×C₃×C₄	—	10	2	no	—
1484	C₂×C₃×C₄	—	10	2	no	—
1485	C₂×C₃×C₄	—	20	1	no	—
1486	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1488	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1489	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1490	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1491	#67	—	2	2	no	—
1492	#67	—	2	2	no	—
1493	#67	—	4	1	no	—
1494	#67	—	10	2	no	—
1495	#67	—	10	2	no	—
1496	#67	—	10	2	no	—
1497	#67	—	20	1	no	—
1498	#67	#711	1	4	yes	complemented
1499	C₂×Dic₃	—	4	1	no	—
1500	C₂×Dic₃	—	5	1	no	—
1501	C₂×Dic₃	—	5	1	no	—
1502	C₂×Dic₃	—	5	1	no	—
1503	C₂×Dic₃	—	5	1	no	—
1504	C₂×Dic₃	—	5	1	no	—
1505	C₂×Dic₃	—	5	1	no	—
1506	C₂×Dic₃	—	5	1	no	—
1507	C₂×Dic₃	—	5	1	no	—
1508	C₂×Dic₃	—	10	2	no	—
1509	C₂×Dic₃	—	10	2	no	—
1510	C₂×Dic₃	—	10	2	no	—
1511	C₂×Dic₃	—	10	2	no	—
1512	C₂×Dic₃	—	20	1	no	—
1513	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1514	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1515	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1516	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1517	D₁₂	—	2	2	no	—
1518	D₁₂	—	2	2	no	—
1519	D₁₂	—	2	2	no	—
1520	D₁₂	—	4	1	no	—
1521	C₄×D₃	—	2	2	no	—
1522	C₄×D₃	—	2	2	no	—
1523	C₄×D₃	—	2	2	no	—
1524	C₄×D₃	—	4	1	no	—
1525	C₄×D₃	—	5	4	no	—
1526	C₄×D₃	—	10	2	no	—
1527	C₄×D₃	—	10	2	no	—
1528	C₄×D₃	—	10	2	no	—
1529	C₄×D₃	—	10	2	no	—
1530	C₄×D₃	—	10	2	no	—
1531	C₄×D₃	—	10	2	no	—
1532	C₄×D₃	—	10	2	no	—
1533	C₄×D₃	—	10	2	no	—
1534	C₄×D₃	—	20	1	no	—
1535	C₄×D₃	—	20	1	no	—
1536	C₄×D₃	—	20	1	no	—
1537	Dic₆	—	2	2	no	—
1538	Dic₆	—	10	2	no	—
1539	Dic₆	—	10	2	no	—
1540	Dic₆	—	20	1	no	—
1541	C₂²×C₅	—	2	1	no	—
1542	C₂²×C₅	—	2	1	no	—
1543	C₂²×C₅	—	2	1	no	—
1544	C₂²×C₅	—	2	1	no	—
1545	C₂²×C₅	—	2	1	no	—
1546	C₂²×C₅	—	3	2	no	—
1547	C₂²×C₅	—	3	2	no	—
1548	C₂²×C₅	—	6	1	no	—
1549	C₂²×C₅	—	6	1	no	—
1550	C₂²×C₅	—	6	1	no	—
1551	C₂²×C₅	—	6	1	no	—
1552	C₂²×C₅	—	6	1	no	—
1553	C₂²×C₅	—	6	1	no	—
1554	C₂²×C₅	—	6	1	no	—
1555	C₂²×C₅	—	6	1	no	—
1556	C₂²×C₅	—	6	1	no	—
1557	C₂²×C₅	—	6	1	no	—
1558	C₂²×C₅	—	12	4	no	—
1559	C₂²×C₅	—	12	4	no	—
1560	C₂²×C₅	D₃×#41	1	2	yes	—
1561	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1562	C₂×D₅	—	2	1	no	—
1563	C₂×D₅	—	2	1	no	—
1564	C₂×D₅	—	2	1	no	—
1565	C₄×C₅	—	2	1	no	—
1566	C₄×C₅	—	2	1	no	—
1567	C₄×C₅	—	2	1	no	—
1568	C₄×C₅	—	2	1	no	—
1569	C₄×C₅	—	2	1	no	—
1570	C₄×C₅	—	3	2	no	—
1571	C₄×C₅	—	6	1	no	—
1572	C₄×C₅	—	6	1	no	—
1573	C₄×C₅	—	6	1	no	—
1574	Dic₅	—	2	1	no	—
1575	Dic₅	—	2	1	no	—
1576	Dic₅	—	2	1	no	—
1577	Dic₅	—	2	1	no	—
1578	Dic₅	—	2	1	no	—
1579	Dic₅	—	2	1	no	—
1580	Dic₅	—	3	2	no	—
1581	Dic₅	—	6	1	no	—
1582	Dic₅	—	6	1	no	—
1583	Dic₅	—	6	1	no	—
1584	Dic₅	—	6	1	no	—
1585	Dic₅	—	6	1	no	—
1586	Dic₅	—	6	1	no	—
1587	Dic₅	—	6	1	no	—
1588	Dic₅	D₃×#41	1	2	yes	—
1589	C₂⁴	—	3	1	no	—
1590	C₂⁴	—	3	1	no	—
1591	#41	—	6	4	no	—
1592	#41	—	30	4	no	—
1593	#41	—	30	4	no	—
1594	C₂×Q₈	—	3	1	no	—
1595	C₂×Q₈	—	5	1	no	—
1596	C₂×Q₈	—	15	1	no	—
1597	C₂×Q₈	—	15	1	no	—
1598	C₂×Q₈	—	15	1	no	—
1599	C₂×D₄	—	3	1	no	—
1600	C₂×D₄	—	3	1	no	—
1601	C₂×D₄	—	3	1	no	—
1602	C₂×D₄	—	3	1	no	—
1603	C₂×D₄	—	3	1	no	—
1604	C₂×D₄	—	3	1	no	—
1605	C₂×D₄	—	3	1	no	—
1606	C₂×D₄	—	3	1	no	—
1607	C₂×D₄	—	5	1	no	—
1608	C₂×D₄	—	5	1	no	—
1609	C₂×D₄	—	6	4	no	—
1610	C₂×D₄	—	15	1	no	—
1611	C₂×D₄	—	15	1	no	—
1612	C₂×D₄	—	15	1	no	—
1613	C₂×D₄	—	15	1	no	—
1614	C₂×D₄	C₂×D₃×D₅	1	1	yes	characteristic
1615	C₂²×C₄	—	3	1	no	—
1616	C₂²×C₄	—	3	1	no	—
1617	C₂²×C₄	—	3	1	no	—
1618	C₂²×C₄	—	3	1	no	—
1619	C₂²×C₄	—	3	1	no	—
1620	C₂²×C₄	—	5	1	no	—
1621	C₂²×C₄	—	5	1	no	—
1622	C₂²×C₄	—	5	1	no	—
1623	C₂²×C₄	—	5	1	no	—
1624	C₂²×C₄	—	15	1	no	—
1625	C₂²×C₄	—	15	1	no	—
1626	C₂²×C₄	—	15	1	no	—
1627	C₂²×C₄	—	15	1	no	—
1628	C₂²×C₄	—	15	1	no	—
1629	C₂²×C₄	—	15	1	no	—
1630	C₂²×C₄	—	15	1	no	—
1631	C₂²×C₄	—	15	1	no	—
1632	C₂²×C₄	—	15	1	no	—
1633	C₂²×C₄	—	15	1	no	—
1634	C₂²×C₄	—	15	1	no	—
1635	C₂²×C₄	—	15	1	no	—
1636	C₂²×C₄	—	15	1	no	—
1637	C₂²×C₄	—	15	1	no	—
1638	C₂²×C₄	—	15	1	no	—
1639	C₂²×C₄	—	15	1	no	—
1640	C₂²×C₄	—	15	1	no	—
1641	C₂²×C₄	—	30	4	no	—
1642	C₂²×C₄	—	30	4	no	—
1643	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
1644	C₄⋊C₄	—	3	1	no	—
1645	C₄⋊C₄	—	3	1	no	—
1646	C₄⋊C₄	—	5	1	no	—
1647	C₄⋊C₄	—	5	1	no	—
1648	C₄⋊C₄	—	5	1	no	—
1649	C₄⋊C₄	—	5	1	no	—
1650	C₄⋊C₄	—	5	1	no	—
1651	C₄⋊C₄	—	5	1	no	—
1652	C₄⋊C₄	—	5	1	no	—
1653	C₄⋊C₄	—	5	1	no	—
1654	C₄⋊C₄	—	15	1	no	—
1655	C₄⋊C₄	—	15	1	no	—
1656	C₄⋊C₄	—	15	1	no	—
1657	C₄⋊C₄	—	15	1	no	—
1658	C₄⋊C₄	—	15	1	no	—
1659	C₄⋊C₄	—	15	1	no	—
1660	C₄⋊C₄	—	15	1	no	—
1661	C₄⋊C₄	—	15	1	no	—
1662	C₄⋊C₄	—	15	1	no	—
1663	C₄⋊C₄	—	15	1	no	—
1664	C₄⋊C₄	—	15	1	no	—
1665	C₄⋊C₄	—	15	1	no	—
1666	C₄⋊C₄	—	15	1	no	—
1667	C₄⋊C₄	—	15	1	no	—
1668	C₄⋊C₄	—	15	1	no	—
1669	C₄⋊C₄	—	15	1	no	—
1670	C₄⋊C₄	—	15	1	no	—
1671	C₄⋊C₄	—	15	1	no	—
1672	C₄⋊C₄	—	15	1	no	—
1673	C₄⋊C₄	—	15	1	no	—
1674	C₄⋊C₄	—	15	1	no	—
1675	C₄⋊C₄	—	15	1	no	—
1676	C₄⋊C₄	—	15	1	no	—
1677	C₄⋊C₄	—	15	1	no	—
1678	C₄⋊C₄	—	15	1	no	—
1679	C₄⋊C₄	—	15	1	no	—
1680	C₄⋊C₄	—	15	1	no	—
1681	C₄⋊C₄	—	15	1	no	—
1682	C₄⋊C₄	—	15	1	no	—
1683	C₄⋊C₄	—	15	1	no	—
1684	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1685	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1686	C₂²⋊C₄	—	3	1	no	—
1687	C₂²⋊C₄	—	3	1	no	—
1688	C₂²⋊C₄	—	3	1	no	—
1689	C₂²⋊C₄	—	3	1	no	—
1690	C₂²⋊C₄	—	3	1	no	—
1691	C₂²⋊C₄	—	3	1	no	—
1692	C₂²⋊C₄	—	3	1	no	—
1693	C₂²⋊C₄	—	3	1	no	—
1694	C₂²⋊C₄	—	3	1	no	—
1695	C₂²⋊C₄	—	5	1	no	—
1696	C₂²⋊C₄	—	5	1	no	—
1697	C₂²⋊C₄	—	5	1	no	—
1698	C₂²⋊C₄	—	5	1	no	—
1699	C₂²⋊C₄	—	5	1	no	—
1700	C₂²⋊C₄	—	5	1	no	—
1701	C₂²⋊C₄	—	5	1	no	—
1702	C₂²⋊C₄	—	15	1	no	—
1703	C₂²⋊C₄	—	15	1	no	—
1704	C₂²⋊C₄	—	15	1	no	—
1705	C₂²⋊C₄	—	15	1	no	—
1706	C₂²⋊C₄	—	15	1	no	—
1707	C₂²⋊C₄	—	15	1	no	—
1708	C₂²⋊C₄	—	15	1	no	—
1709	C₂²⋊C₄	—	15	1	no	—
1710	C₂²⋊C₄	—	15	1	no	—
1711	C₂²⋊C₄	—	15	1	no	—
1712	C₂²⋊C₄	—	15	1	no	—
1713	C₂²⋊C₄	—	15	1	no	—
1714	C₂²⋊C₄	—	15	1	no	—
1715	C₂²⋊C₄	—	15	1	no	—
1716	C₂²⋊C₄	—	15	1	no	—
1717	C₂²⋊C₄	—	15	1	no	—
1718	C₂²⋊C₄	—	15	1	no	—
1719	C₂²⋊C₄	—	15	1	no	—
1720	C₂²⋊C₄	—	15	1	no	—
1721	C₂²⋊C₄	—	15	1	no	—
1722	C₂²⋊C₄	—	15	1	no	—
1723	C₂²⋊C₄	—	15	1	no	—
1724	C₂²⋊C₄	—	15	1	no	—
1725	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1726	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1727	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1728	C₄²	—	3	1	no	—
1729	C₄²	—	5	1	no	—
1730	C₄²	—	5	1	no	—
1731	C₄²	—	5	1	no	—
1732	C₄²	—	5	1	no	—
1733	C₄²	—	5	1	no	—
1734	C₄²	—	5	1	no	—
1735	C₄²	—	15	1	no	—
1736	C₄²	—	15	1	no	—
1737	C₄²	—	15	1	no	—
1738	C₄²	—	15	1	no	—
1739	C₄²	—	15	1	no	—
1740	C₄²	—	15	1	no	—
1741	C₄²	—	15	1	no	—
1742	C₄²	—	15	1	no	—
1743	C₄²	—	15	1	no	—
1744	C₄²	—	15	1	no	—
1745	C₄²	—	15	1	no	—
1746	C₄²	—	15	1	no	—
1747	C₄²	—	15	1	no	—
1748	C₄²	—	15	1	no	—
1749	C₄²	—	15	1	no	—
1750	C₃×C₅	#3475	1	1	yes	characteristic, complemented, Hall
1751	C₂²×C₃	—	2	1	no	—
1752	C₂²×C₃	—	2	1	no	—
1753	C₂²×C₃	—	2	1	no	—
1754	C₂²×C₃	—	2	1	no	—
1755	C₂²×C₃	—	2	1	no	—
1756	C₂²×C₃	—	10	1	no	—
1757	C₂²×C₃	—	10	1	no	—
1758	C₂²×C₃	—	10	1	no	—
1759	C₂²×C₃	C₂×#711	1	2	yes	—
1760	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1761	C₂×D₃	—	2	1	no	—
1762	C₂×D₃	—	2	1	no	—
1763	C₂×D₃	—	2	1	no	—
1764	C₂×D₃	—	2	1	no	—
1765	C₂×D₃	—	2	1	no	—
1766	C₂×D₃	—	2	1	no	—
1767	C₂×D₃	—	2	1	no	—
1768	C₂×D₃	—	2	1	no	—
1769	C₂×D₃	—	2	1	no	—
1770	C₂×D₃	—	2	1	no	—
1771	C₂×D₃	—	4	4	no	—
1772	C₂×D₃	—	4	4	no	—
1773	C₂×D₃	C₂×#711	1	2	yes	—
1774	C₂×D₃	D₅×#41	1	2	yes	—
1775	C₃×C₄	—	2	1	no	—
1776	C₃×C₄	—	2	1	no	—
1777	C₃×C₄	—	2	1	no	—
1778	C₃×C₄	—	2	1	no	—
1779	C₃×C₄	—	2	1	no	—
1780	C₃×C₄	—	5	2	no	—
1781	C₃×C₄	—	10	1	no	—
1782	C₃×C₄	—	10	1	no	—
1783	C₃×C₄	—	10	1	no	—
1784	C₃×C₄	—	10	1	no	—
1785	C₃×C₄	—	10	1	no	—
1786	C₃×C₄	—	10	1	no	—
1787	Dic₃	—	2	1	no	—
1788	Dic₃	—	2	1	no	—
1789	Dic₃	—	2	1	no	—
1790	Dic₃	—	5	2	no	—
1791	Dic₃	—	10	1	no	—
1792	Dic₃	—	10	1	no	—
1793	Dic₃	—	10	1	no	—
1794	Dic₃	—	10	1	no	—
1795	Dic₃	—	10	1	no	—
1796	Dic₃	—	10	1	no	—
1797	Dic₃	—	10	1	no	—
1798	Dic₃	C₂×#711	1	2	yes	—
1799	C₂×C₅	—	2	2	no	—
1800	C₂×C₅	—	4	1	no	—
1801	C₂×C₅	—	6	2	no	—
1802	C₂×C₅	—	6	2	no	—
1803	C₂×C₅	—	12	1	no	—
1804	C₂×C₅	—	12	1	no	—
1805	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1806	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1807	C₂×C₅	#5964	1	1	yes	characteristic
1808	D₅	—	4	1	no	—
1809	C₂³	—	3	1	no	—
1810	C₂³	—	3	1	no	—
1811	C₂³	—	3	1	no	—
1812	C₂³	—	3	1	no	—
1813	C₂³	—	5	1	no	—
1814	C₂³	—	6	2	no	—
1815	C₂³	—	6	2	no	—
1816	C₂³	—	6	2	no	—
1817	C₂³	—	6	2	no	—
1818	C₂³	—	12	1	no	—
1819	C₂³	—	12	1	no	—
1820	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1821	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1822	Q₈	—	6	2	no	—
1823	Q₈	—	20	1	no	—
1824	Q₈	—	30	2	no	—
1825	Q₈	—	30	2	no	—
1826	Q₈	—	60	1	no	—
1827	D₄	—	2	2	no	—
1828	D₄	—	3	4	no	—
1829	D₄	—	6	2	no	—
1830	D₄	—	6	2	no	—
1831	D₄	—	6	2	no	—
1832	D₄	—	6	2	no	—
1833	D₄	—	6	2	no	—
1834	D₄	—	10	2	no	—
1835	D₄	—	12	1	no	—
1836	D₄	—	12	1	no	—
1837	D₄	—	20	1	no	—
1838	D₄	—	30	2	no	—
1839	D₄	—	30	2	no	—
1840	D₄	—	30	2	no	—
1841	D₄	—	60	1	no	—
1842	C₂×C₄	—	2	2	no	—
1843	C₂×C₄	—	3	1	no	—
1844	C₂×C₄	—	3	1	no	—
1845	C₂×C₄	—	3	1	no	—
1846	C₂×C₄	—	3	1	no	—
1847	C₂×C₄	—	5	1	no	—
1848	C₂×C₄	—	5	1	no	—
1849	C₂×C₄	—	5	1	no	—
1850	C₂×C₄	—	5	1	no	—
1851	C₂×C₄	—	5	1	no	—
1852	C₂×C₄	—	5	1	no	—
1853	C₂×C₄	—	5	1	no	—
1854	C₂×C₄	—	6	2	no	—
1855	C₂×C₄	—	6	2	no	—
1856	C₂×C₄	—	6	2	no	—
1857	C₂×C₄	—	10	2	no	—
1858	C₂×C₄	—	10	2	no	—
1859	C₂×C₄	—	10	2	no	—
1860	C₂×C₄	—	12	1	no	—
1861	C₂×C₄	—	12	1	no	—
1862	C₂×C₄	—	15	4	no	—
1863	C₂×C₄	—	15	1	no	—
1864	C₂×C₄	—	15	1	no	—
1865	C₂×C₄	—	15	1	no	—
1866	C₂×C₄	—	15	1	no	—
1867	C₂×C₄	—	15	1	no	—
1868	C₂×C₄	—	15	1	no	—
1869	C₂×C₄	—	15	1	no	—
1870	C₂×C₄	—	15	1	no	—
1871	C₂×C₄	—	20	1	no	—
1872	C₂×C₄	—	30	2	no	—
1873	C₂×C₄	—	30	2	no	—
1874	C₂×C₄	—	30	2	no	—
1875	C₂×C₄	—	30	2	no	—
1876	C₂×C₄	—	30	2	no	—
1877	C₂×C₄	—	30	2	no	—
1878	C₂×C₄	—	30	2	no	—
1879	C₂×C₄	—	30	2	no	—
1880	C₂×C₄	—	30	2	no	—
1881	C₂×C₄	—	30	2	no	—
1882	C₂×C₄	—	30	2	no	—
1883	C₂×C₄	—	30	2	no	—
1884	C₂×C₄	—	60	1	no	—
1885	C₂×C₄	—	60	1	no	—
1886	C₂×C₄	—	60	1	no	—
1887	C₂×C₄	—	60	1	no	—
1888	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1889	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1890	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1891	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1892	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1893	C₂×C₃	—	2	2	no	—
1894	C₂×C₃	—	4	1	no	—
1895	C₂×C₃	—	20	1	no	—
1896	C₂×C₃	C₂²×#711	1	1	yes	characteristic
1897	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1898	C₂×C₃	#66285	1	1	yes	characteristic
1899	D₃	—	2	2	no	—
1900	D₃	—	2	2	no	—
1901	D₃	—	4	1	no	—
1902	D₃	—	4	1	no	—
1903	C₅	#86150	1	1	yes	characteristic, complemented, Sylow
1904	C₂²	—	2	1	no	—
1905	C₂²	—	2	1	no	—
1906	C₂²	—	2	1	no	—
1907	C₂²	—	2	1	no	—
1908	C₂²	—	2	1	no	—
1909	C₂²	—	3	2	no	—
1910	C₂²	—	3	2	no	—
1911	C₂²	—	6	1	no	—
1912	C₂²	—	6	1	no	—
1913	C₂²	—	6	1	no	—
1914	C₂²	—	6	1	no	—
1915	C₂²	—	6	1	no	—
1916	C₂²	—	6	1	no	—
1917	C₂²	—	6	1	no	—
1918	C₂²	—	6	1	no	—
1919	C₂²	—	6	1	no	—
1920	C₂²	—	6	1	no	—
1921	C₂²	—	10	1	no	—
1922	C₂²	—	10	1	no	—
1923	C₂²	—	10	1	no	—
1924	C₂²	—	12	4	no	—
1925	C₂²	—	12	4	no	—
1926	C₂²	D₃×#711	1	2	yes	—
1927	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1928	C₄	—	2	1	no	—
1929	C₄	—	2	1	no	—
1930	C₄	—	2	1	no	—
1931	C₄	—	2	1	no	—
1932	C₄	—	2	1	no	—
1933	C₄	—	3	2	no	—
1934	C₄	—	5	2	no	—
1935	C₄	—	6	1	no	—
1936	C₄	—	6	1	no	—
1937	C₄	—	6	1	no	—
1938	C₄	—	10	1	no	—
1939	C₄	—	10	1	no	—
1940	C₄	—	10	1	no	—
1941	C₄	—	10	1	no	—
1942	C₄	—	10	1	no	—
1943	C₄	—	10	1	no	—
1944	C₄	—	15	2	no	—
1945	C₄	—	30	1	no	—
1946	C₄	—	30	1	no	—
1947	C₄	—	30	1	no	—
1948	C₄	—	30	1	no	—
1949	C₄	—	30	1	no	—
1950	C₄	—	30	1	no	—
1951	C₄	—	30	1	no	—
1952	C₃	#10618528	1	1	yes	characteristic, complemented, Sylow
1953	C₂	—	2	2	no	—
1954	C₂	—	4	1	no	—
1955	C₂	—	6	2	no	—
1956	C₂	—	6	2	no	—
1957	C₂	—	12	1	no	—
1958	C₂	—	12	1	no	—
1959	C₂	—	20	1	no	—
1960	C₂	C₂×D₃×#711	1	1	yes	characteristic
1961	C₂	D₃×D₅×#41	1	1	yes	characteristic
1962	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×#123	C₂²
hypercenter	#123	D₃×D₅
hypocenter	C₃×C₅	#3475
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #123

Complements

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

N	H ≅ G/N	type
1. #11756409	C₂	semidirect
2. C₅×#5654	C₂	semidirect
3. C₃×#65983	C₂	semidirect
4. #11754942	C₂	semidirect
5. #11754893	C₂	semidirect
6. #11754849	C₂	semidirect
7. D₃×D₄×Dic₅	C₂	semidirect
8. #11754580	C₂	semidirect
9. Dic₅×#235	C₂	semidirect
10. #11754343	C₂	semidirect
11. C₂×#91398	C₂	semidirect
12. #11753581	C₂	semidirect
13. #11753572	C₂	semidirect
14. #11753571	C₂	semidirect
15. #11753566	C₂	semidirect
16. #11753535	C₂	semidirect
17. #11753488	C₂	semidirect
18. #11753457	C₂	semidirect
19. #11753402	C₂	semidirect
20. #11753132	C₂	semidirect
21. #11753121	C₂	semidirect
22. #11753031	C₂	semidirect
23. #11753010	C₂	semidirect
24. #11752995	C₂	semidirect
25. #11752990	C₂	semidirect
26. #11752895	C₂	semidirect
27. #11752885	C₂	semidirect
28. #11752840	C₂	semidirect
29. #11752840	C₂	semidirect
30. D₃×#4023	C₂	semidirect
31. #11752820	C₂	semidirect
42. #91815	C₂²	semidirect
43. C₂×#6712	C₂²	semidirect
44. #91779	C₂²	semidirect
45. #91778	C₂²	semidirect
46. #91778	C₂²	semidirect
47. #91776	C₂²	semidirect
48. #91768	C₂²	semidirect
49. #91768	C₂²	semidirect
50. #91767	C₂²	semidirect
51. #91767	C₂²	semidirect
52. #91766	C₂²	semidirect
53. #91766	C₂²	semidirect
68. C₃×#4075	C₂²	semidirect
69. C₂×C₃×C₄×Dic₅	C₂²	semidirect
70. C₃×#4044	C₂²	semidirect
71. C₃×#4038	C₂²	semidirect
72. C₃×#4035	C₂²	semidirect
73. C₃×#4033	C₂²	semidirect
74. C₃×#4031	C₂²	semidirect
75. C₃×#4027	C₂²	semidirect
76. C₃×#4027	C₂²	semidirect
77. C₃×#4025	C₂²	semidirect
78. C₃×#4024	C₂²	semidirect
79. C₃×#4023	C₂²	semidirect
80. #91575	C₂²	semidirect
81. #91571	C₂²	semidirect
82. #91571	C₂²	semidirect
87. #91555	C₂²	semidirect
91. Dic₃×C₂²⋊D₅	C₂²	semidirect
95. Dic₅×#67	C₂²	semidirect
96. Dic₅×#67	C₂²	semidirect
97. Dic₅×#67	C₂²	semidirect
99. #91548	C₂²	semidirect
100. C₂×#6669	C₂²	semidirect
101. #91543	C₂²	semidirect
103. #91532	C₂²	semidirect
104. #91530	C₂²	semidirect
105. #91528	C₂²	semidirect
106. C₂×Dic₃×Dic₅	C₂²	semidirect
108. #91525	C₂²	semidirect
109. #91464	C₂²	semidirect
113. #91453	C₂²	semidirect
114. #91453	C₂²	semidirect
115. #91452	C₂²	semidirect
117. #91442	C₂²	semidirect
119. #91441	C₂²	semidirect
120. #91441	C₂²	semidirect
121. #91440	C₂²	semidirect
122. #91440	C₂²	semidirect
123. #91436	C₂²	semidirect
126. #91432	C₂²	semidirect
127. #91432	C₂²	semidirect
132. #91423	C₂²	semidirect
133. #91423	C₂²	semidirect
134. #91421	C₂²	semidirect
137. Dic₅×D₁₂	C₂²	semidirect
138. Dic₅×D₁₂	C₂²	semidirect
139. Dic₅×D₁₂	C₂²	semidirect
140. #91414	C₂²	semidirect
144. #91400	C₂²	semidirect
145. D₃×#683	C₂²	semidirect
146. D₃×#683	C₂²	semidirect
152. #91398	C₂²	semidirect
153. #91398	C₂²	semidirect
154. #91398	C₂²	semidirect
155. #91398	C₂²	semidirect
156. #91398	C₂²	semidirect
158. C₄×D₃×Dic₅	C₂²	semidirect
159. C₄×D₃×Dic₅	C₂²	semidirect
160. C₄×D₃×Dic₅	C₂²	semidirect
161. #91394	C₂²	semidirect
162. C₄×D₅×Dic₃	C₂²	semidirect
163. #91382	C₂²	semidirect
164. #91379	C₂²	semidirect
165. #91371	C₂²	semidirect
166. #91371	C₂²	semidirect
167. #91370	C₂²	semidirect
168. #91369	C₂²	semidirect
169. #91367	C₂²	semidirect
170. #91367	C₂²	semidirect
171. #91362	C₂²	semidirect
173. #91352	C₂²	semidirect
174. #91346	C₂²	semidirect
175. #91343	C₂²	semidirect
176. #91342	C₂²	semidirect
177. #91342	C₂²	semidirect
178. #91341	C₂²	semidirect
179. #91341	C₂²	semidirect
180. #91340	C₂²	semidirect
181. Dic₅×Dic₆	C₂²	semidirect
182. Dic₅×Dic₆	C₂²	semidirect
183. #91329	C₂²	semidirect
184. #91327	C₂²	semidirect
185. #91324	C₂²	semidirect
186. #91323	C₂²	semidirect
187. #91323	C₂²	semidirect
199. #65983	D₃	semidirect
392. #5654	D₅	semidirect
476. #4075	C₂×D₃	semidirect
498. C₂×C₄×Dic₅	C₂×D₃	semidirect
500. #4044	C₂×D₃	semidirect
502. #4038	C₂×D₃	semidirect
509. #4035	C₂×D₃	semidirect
514. #4033	C₂×D₃	semidirect
518. #4031	C₂×D₃	semidirect
525. #4027	C₂×D₃	semidirect
526. #4027	C₂×D₃	semidirect
536. #4025	C₂×D₃	semidirect
544. #4024	C₂×D₃	semidirect
562. #4023	C₂×D₃	semidirect
603. C₅×#67	#41	semidirect
649. D₃×Dic₅	#41	semidirect
1498. #67	#711	semidirect
1750. C₃×C₅	#3475	semidirect
1903. C₅	#86150	semidirect
1952. C₃	#10618528	semidirect

Maximal subgroups

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

subgroup	index
#11756409	2
C₅×#5654	2
C₃×#65983	2
#11754942	2
#11754893	2
#11754849	2
D₃×D₄×Dic₅	2
#11754580	2
Dic₅×#235	2
#11754343	2
C₂×#91398	2
#11753581	2
#11753572	2
#11753571	2
#11753566	2
#11753535	2
#11753488	2
#11753457	2
#11753402	2
#11753132	2
#11753121	2
#11753031	2
#11753010	2
#11752995	2
#11752990	2
#11752895	2
#11752885	2
#11752840	2
D₃×#4023	2
#11752820	2
#10618528	3
#86150	5