Subgroups — D₅×#5650 #14483451

Order 1920.

2248 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756409	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5650	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₅×#123	C₂	1	1	yes	maximal, characteristic
4	D₅×#935	C₂	1	1	yes	maximal, characteristic
5	D₄×D₅×Dic₃	C₂	1	1	yes	maximal, characteristic
6	#11754740	C₂	1	1	yes	maximal, characteristic, complemented
7	#11754734	C₂	1	1	yes	maximal, characteristic, complemented
8	#11754446	C₂	1	1	yes	maximal, characteristic, complemented
9	#11754424	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#926	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×D₅×Dic₃⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753504	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753503	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753502	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753501	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#890	C₂	1	1	yes	maximal, characteristic, complemented
17	D₅×#889	C₂	1	1	yes	maximal, characteristic, complemented
18	D₅×#889	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#887	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753023	C₂	1	1	yes	maximal, characteristic, complemented
21	#11752984	C₂	1	1	yes	maximal, characteristic, complemented
22	#11752920	C₂	1	1	yes	maximal, characteristic, complemented
23	#11752918	C₂	1	1	yes	maximal, characteristic, complemented
24	#11752917	C₂	1	1	yes	maximal, characteristic, complemented
25	#11752915	C₂	1	1	yes	maximal, characteristic, complemented
26	D₅×#879	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅×#879	C₂	1	1	yes	maximal, characteristic, complemented
28	D₅×#878	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#878	C₂	1	1	yes	maximal, characteristic, complemented
30	D₅×#877	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#877	C₂	1	1	yes	maximal, characteristic, complemented
32	D₅×#552	—	3	1	no	maximal, Hall
33	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
35	C₂²×D₅×Dic₃	C₂²	1	1	yes	characteristic
36	C₂²×D₅×Dic₃	C₂²	1	1	yes	characteristic
37	C₂²×D₅×Dic₃	C₂²	1	1	yes	characteristic
38	C₂×D₅×Dic₆	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×#935	C₂²	1	1	yes	characteristic
55	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
56	C₅×#926	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₅×#890	C₂²	1	1	yes	characteristic, complemented
59	C₅×#889	C₂²	1	1	yes	characteristic, complemented
60	C₅×#889	C₂²	1	1	yes	characteristic, complemented
61	C₅×#887	C₂²	1	1	yes	characteristic, complemented
62	C₅×#879	C₂²	1	1	yes	characteristic, complemented
63	C₅×#879	C₂²	1	1	yes	characteristic, complemented
64	C₅×#878	C₂²	1	1	yes	characteristic, complemented
65	C₅×#878	C₂²	1	1	yes	characteristic, complemented
66	C₅×#877	C₂²	1	1	yes	characteristic, complemented
67	C₅×#877	C₂²	1	1	yes	characteristic, complemented
68	C₃×#4081	C₂²	1	1	yes	characteristic
69	C₃×#4075	C₂²	1	1	yes	characteristic
70	C₃×#4040	C₂²	1	1	yes	characteristic
71	C₃×#4040	C₂²	1	1	yes	characteristic
72	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
73	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
74	C₃×#4032	C₂²	1	1	yes	characteristic
75	C₃×#4029	C₂²	1	1	yes	characteristic
76	C₃×#4029	C₂²	1	1	yes	characteristic
77	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
78	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
79	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
80	#91576	C₂²	1	1	yes	characteristic, complemented
81	#91576	C₂²	1	1	yes	characteristic, complemented
82	#91575	C₂²	1	1	yes	characteristic, complemented
83	#91575	C₂²	1	1	yes	characteristic, complemented
84	#91559	C₂²	1	1	yes	characteristic
85	#91559	C₂²	1	1	yes	characteristic
86	Dic₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
87	Dic₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
88	#91548	C₂²	1	1	yes	characteristic
89	#91548	C₂²	1	1	yes	characteristic
90	D₅×#217	C₂²	1	1	yes	characteristic
91	D₅×#217	C₂²	1	1	yes	characteristic
92	D₅×#217	C₂²	1	1	yes	characteristic
93	D₅×#217	C₂²	1	1	yes	characteristic
94	D₅×#217	C₂²	1	1	yes	characteristic
95	C₂×Dic₃⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
96	C₂×#6669	C₂²	1	1	yes	characteristic, complemented
97	#91537	C₂²	1	1	yes	characteristic
98	#91536	C₂²	1	1	yes	characteristic
99	#91532	C₂²	1	1	yes	characteristic, complemented
100	#91532	C₂²	1	1	yes	characteristic, complemented
101	#91531	C₂²	1	1	yes	characteristic, complemented
102	#91531	C₂²	1	1	yes	characteristic, complemented
103	#91530	C₂²	1	1	yes	characteristic, complemented
104	#91530	C₂²	1	1	yes	characteristic, complemented
105	#91529	C₂²	1	1	yes	characteristic, complemented
106	#91529	C₂²	1	1	yes	characteristic, complemented
107	#91528	C₂²	1	1	yes	characteristic, complemented
108	#91528	C₂²	1	1	yes	characteristic, complemented
109	#91434	C₂²	1	1	yes	characteristic
110	#91431	C₂²	1	1	yes	characteristic, complemented
111	#91431	C₂²	1	1	yes	characteristic, complemented
112	#91430	C₂²	1	1	yes	characteristic, complemented
113	#91430	C₂²	1	1	yes	characteristic, complemented
114	Dic₃×D₂₀	C₂²	1	1	yes	characteristic
115	#91422	C₂²	1	1	yes	characteristic, complemented
116	#91422	C₂²	1	1	yes	characteristic, complemented
117	#91421	C₂²	1	1	yes	characteristic, complemented
118	#91421	C₂²	1	1	yes	characteristic, complemented
119	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
120	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
121	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
122	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
123	#91407	C₂²	1	1	yes	characteristic
124	#91407	C₂²	1	1	yes	characteristic
125	#91394	C₂²	1	1	yes	characteristic, complemented
126	#91394	C₂²	1	1	yes	characteristic, complemented
127	#91394	C₂²	1	1	yes	characteristic, complemented
128	#91394	C₂²	1	1	yes	characteristic, complemented
129	#91393	C₂²	1	1	yes	characteristic, complemented
130	#91393	C₂²	1	1	yes	characteristic, complemented
131	#91393	C₂²	1	1	yes	characteristic, complemented
132	#91393	C₂²	1	1	yes	characteristic, complemented
133	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
134	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
135	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
136	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
137	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
138	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
139	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
140	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
141	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
142	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
143	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
148	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
149	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
150	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
151	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
152	#91384	C₂²	1	1	yes	characteristic, complemented
153	#91382	C₂²	1	1	yes	characteristic, complemented
154	#91382	C₂²	1	1	yes	characteristic, complemented
155	#91381	C₂²	1	1	yes	characteristic, complemented
156	#91379	C₂²	1	1	yes	characteristic, complemented
157	#91379	C₂²	1	1	yes	characteristic, complemented
158	#91366	C₂²	1	1	yes	characteristic, complemented
159	#91366	C₂²	1	1	yes	characteristic, complemented
160	#91363	C₂²	1	1	yes	characteristic, complemented
161	#91363	C₂²	1	1	yes	characteristic, complemented
162	#91362	C₂²	1	1	yes	characteristic, complemented
163	#91362	C₂²	1	1	yes	characteristic, complemented
164	#91361	C₂²	1	1	yes	characteristic, complemented
165	#91361	C₂²	1	1	yes	characteristic, complemented
166	#91358	C₂²	1	1	yes	characteristic, complemented
167	#91358	C₂²	1	1	yes	characteristic, complemented
168	#91357	C₂²	1	1	yes	characteristic, complemented
169	#91357	C₂²	1	1	yes	characteristic, complemented
170	#91346	C₂²	1	1	yes	characteristic, complemented
171	#91346	C₂²	1	1	yes	characteristic, complemented
172	#91344	C₂²	1	1	yes	characteristic, complemented
173	#91343	C₂²	1	1	yes	characteristic, complemented
174	#91343	C₂²	1	1	yes	characteristic, complemented
175	#91340	C₂²	1	1	yes	characteristic, complemented
176	#91339	C₂²	1	1	yes	characteristic, complemented
177	#91339	C₂²	1	1	yes	characteristic, complemented
178	#91336	C₂²	1	1	yes	characteristic, complemented
179	#91336	C₂²	1	1	yes	characteristic, complemented
180	#91335	C₂²	1	1	yes	characteristic, complemented
181	#91335	C₂²	1	1	yes	characteristic, complemented
182	#91334	C₂²	1	1	yes	characteristic, complemented
183	#91334	C₂²	1	1	yes	characteristic, complemented
184	#91325	C₂²	1	1	yes	characteristic, complemented
185	#91325	C₂²	1	1	yes	characteristic, complemented
186	#91324	C₂²	1	1	yes	characteristic, complemented
187	#91324	C₂²	1	1	yes	characteristic, complemented
188	C₂×#5650	—	5	1	no	maximal, Hall
189	C₅×#552	—	3	1	no	—
190	#66042	—	3	1	no	—
191	#66042	—	3	1	no	—
192	D₅×#126	—	3	1	no	—
193	D₅×#126	—	3	1	no	—
194	#66028	—	3	1	no	—
195	#66027	—	3	1	no	—
196	#66027	—	3	1	no	—
197	D₅×#125	—	3	1	no	—
198	D₅×#125	—	3	1	no	—
199	D₅×#125	—	3	1	no	—
200	D₅×#123	—	3	1	no	—
201	D₅×#123	D₃	1	1	yes	characteristic
202	#65984	—	3	1	no	—
203	#65984	—	3	1	no	—
204	#65976	—	3	1	no	—
205	#65973	—	3	1	no	—
206	D₅×C₂²⋊Q₈	—	3	1	no	—
207	D₅×C₂²⋊Q₈	—	3	1	no	—
208	#65915	—	3	1	no	—
209	C₄×Q₈×D₅	—	3	1	no	—
210	C₄×D₄×D₅	—	3	1	no	—
211	#65875	—	3	1	no	—
212	#65865	—	3	1	no	—
213	#65865	—	3	1	no	—
214	#65863	—	3	1	no	—
215	D₅×#117	—	3	1	no	—
216	D₅×#117	—	3	1	no	—
217	D₅×#117	—	3	1	no	—
218	#65847	—	3	1	no	—
219	C₂×D₅×C₄⋊C₄	—	3	1	no	—
220	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
221	C₂³×C₃×D₅	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	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
229	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
230	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
231	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
234	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
235	C₃×D₄×D₅	—	2	4	no	—
236	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄×D₅	—	2	4	no	—
238	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
245	C₂×#1204	C₂³	1	1	yes	characteristic
246	C₂×#1204	C₂³	1	1	yes	characteristic
247	C₂×D₅×Dic₃	—	2	4	no	—
248	C₂×D₅×Dic₃	—	2	4	no	—
249	C₂×D₅×Dic₃	—	2	4	no	—
250	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
251	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
252	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
253	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
254	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
255	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
256	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
257	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
258	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
259	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
260	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
261	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
262	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
263	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
264	D₅×Dic₆	—	2	4	no	—
265	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	#6719	C₂³	1	1	yes	characteristic
271	#6719	C₂³	1	1	yes	characteristic
272	#6719	C₂³	1	1	yes	characteristic
273	#6719	C₂³	1	1	yes	characteristic
274	#6719	C₂³	1	1	yes	characteristic
275	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
276	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
277	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
278	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
279	#6712	C₂³	1	1	yes	characteristic
280	#6712	C₂³	1	1	yes	characteristic
281	#6712	C₂³	1	1	yes	characteristic
282	#6712	C₂³	1	1	yes	characteristic
283	#6712	C₂³	1	1	yes	characteristic
284	#6712	C₂³	1	1	yes	characteristic
285	#6712	C₂³	1	1	yes	characteristic
286	#6712	C₂³	1	1	yes	characteristic
287	#6712	C₂³	1	1	yes	characteristic
288	#6712	C₂³	1	1	yes	characteristic
289	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
290	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
291	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
292	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
293	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
294	C₅×#217	C₂³	1	1	yes	characteristic
295	C₅×#217	C₂³	1	1	yes	characteristic
296	C₅×#217	C₂³	1	1	yes	characteristic
297	C₅×#217	C₂³	1	1	yes	characteristic
298	C₅×#217	C₂³	1	1	yes	characteristic
299	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
300	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
301	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
302	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
303	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
304	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
305	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
306	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
307	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
308	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
309	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
310	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
311	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
312	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
313	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
314	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
315	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
316	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
317	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
318	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
319	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
320	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
321	C₃×#685	C₂³	1	1	yes	characteristic
322	C₃×#685	C₂³	1	1	yes	characteristic
323	C₃×#685	C₂³	1	1	yes	characteristic
324	C₃×#685	C₂³	1	1	yes	characteristic
325	C₃×#685	C₂³	1	1	yes	characteristic
326	C₃×#685	C₂³	1	1	yes	characteristic
327	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
328	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
329	C₃×#683	C₂³	1	1	yes	characteristic
330	C₃×#683	C₂³	1	1	yes	characteristic
331	C₃×#683	C₂³	1	1	yes	characteristic
332	C₃×#683	C₂³	1	1	yes	characteristic
333	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
334	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
335	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
336	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
337	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
338	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
339	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
340	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
341	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
342	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
343	#6669	C₂³	1	1	yes	characteristic
344	#6669	C₂³	1	1	yes	characteristic
345	#6669	C₂³	1	1	yes	characteristic
346	#6669	C₂³	1	1	yes	characteristic
347	#6669	C₂³	1	1	yes	characteristic
348	#6669	C₂³	1	1	yes	characteristic
349	#6669	C₂³	1	1	yes	characteristic
350	#6669	C₂³	1	1	yes	characteristic
351	#6669	C₂³	1	1	yes	characteristic
352	#6669	C₂³	1	1	yes	characteristic
353	#6668	C₂³	1	1	yes	characteristic
354	#6668	C₂³	1	1	yes	characteristic
355	#6668	C₂³	1	1	yes	characteristic
356	#6668	C₂³	1	1	yes	characteristic
357	#6668	C₂³	1	1	yes	characteristic
358	#6668	C₂³	1	1	yes	characteristic
359	#6668	C₂³	1	1	yes	characteristic
360	#6668	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	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	C₂×C₃×#123	—	5	1	no	—
382	C₂×#935	—	5	1	no	—
383	C₂×D₄×Dic₃	—	5	1	no	—
384	C₂×#926	—	5	1	no	—
385	C₂²×Dic₃⋊C₄	—	5	1	no	—
386	#5650	—	5	1	no	—
387	#5650	—	5	1	no	—
388	#5650	—	5	1	no	—
389	#5650	—	5	1	no	—
390	#5650	—	5	1	no	—
391	#5650	—	5	1	no	—
392	#5650	—	5	1	no	—
393	#5650	—	5	1	no	—
394	#5650	—	5	1	no	—
395	#5650	—	5	1	no	—
396	#5650	—	5	1	no	—
397	#5650	—	5	1	no	—
398	#5650	—	5	1	no	—
399	#5650	—	5	1	no	—
400	#5650	—	5	1	no	—
401	#5650	D₅	1	1	yes	characteristic, direct product factor
402	C₂×#890	—	5	1	no	—
403	C₂×#889	—	5	1	no	—
404	C₂×#889	—	5	1	no	—
405	C₂×#887	—	5	1	no	—
406	C₂×#879	—	5	1	no	—
407	C₂×#879	—	5	1	no	—
408	C₂×#878	—	5	1	no	—
409	C₂×#878	—	5	1	no	—
410	C₂×#877	—	5	1	no	—
411	C₂×#877	—	5	1	no	—
412	C₂×Q₈×D₅	—	3	1	no	—
413	C₂×D₄×D₅	C₂×D₃	1	1	yes	characteristic
414	C₂²×C₄×D₅	—	3	1	no	—
415	C₂²×C₄×D₅	—	3	1	no	—
416	C₂²×C₄×D₅	—	3	1	no	—
417	C₂²×C₄×D₅	C₂×D₃	1	1	yes	characteristic
418	C₅×#126	—	3	1	no	—
419	C₅×#126	—	3	1	no	—
420	C₅×#125	—	3	1	no	—
421	C₅×#125	—	3	1	no	—
422	C₅×#125	—	3	1	no	—
423	C₅×#123	—	3	1	no	—
424	C₅×#123	C₂×D₃	1	1	yes	characteristic
425	C₅×C₂²⋊Q₈	—	3	1	no	—
426	C₅×C₂²⋊Q₈	—	3	1	no	—
427	C₄×C₅×Q₈	—	3	1	no	—
428	C₄×C₅×D₄	—	3	1	no	—
429	C₅×#117	—	3	1	no	—
430	C₅×#117	—	3	1	no	—
431	C₅×#117	—	3	1	no	—
432	C₂×C₅×C₄⋊C₄	—	3	1	no	—
433	#4092	—	3	1	no	—
434	#4092	—	3	1	no	—
435	Q₈×Dic₅	—	3	1	no	—
436	#4081	—	3	1	no	—
437	#4081	C₂×D₃	1	1	yes	characteristic
438	D₄×Dic₅	—	3	1	no	—
439	#4075	—	3	1	no	—
440	#4075	C₂×D₃	1	1	yes	characteristic
441	C₄×C₂²⋊D₅	—	3	1	no	—
442	C₄×C₂²⋊D₅	—	3	1	no	—
443	#4072	—	3	1	no	—
444	#4072	—	3	1	no	—
445	#4072	—	3	1	no	—
446	C₂×C₄⋊Dic₅	—	3	1	no	—
447	#4070	—	3	1	no	—
448	#4070	—	3	1	no	—
449	C₂×#683	—	3	1	no	—
450	C₂×#683	—	3	1	no	—
451	#4044	—	3	1	no	—
452	#4044	—	3	1	no	—
453	#4044	—	3	1	no	—
454	#4044	—	3	1	no	—
455	#4044	—	3	1	no	—
456	#4044	—	3	1	no	—
457	#4043	—	3	1	no	—
458	#4043	—	3	1	no	—
459	#4042	—	3	1	no	—
460	#4042	—	3	1	no	—
461	#4042	—	3	1	no	—
462	#4042	—	3	1	no	—
463	#4040	—	3	1	no	—
464	#4040	—	3	1	no	—
465	#4040	C₂×D₃	1	1	yes	characteristic
466	#4040	C₂×D₃	1	1	yes	characteristic
467	#4039	—	3	1	no	—
468	#4038	—	3	1	no	—
469	#4038	—	3	1	no	—
470	#4038	—	3	1	no	—
471	#4038	—	3	1	no	—
472	#4038	—	3	1	no	—
473	#4038	—	3	1	no	—
474	D₅×C₄⋊C₄	—	3	1	no	—
475	D₅×C₄⋊C₄	—	3	1	no	—
476	D₅×C₄⋊C₄	—	3	1	no	—
477	D₅×C₄⋊C₄	—	3	1	no	—
478	D₅×C₄⋊C₄	—	3	1	no	—
479	D₅×C₄⋊C₄	—	3	1	no	—
480	D₅×C₄⋊C₄	—	3	1	no	—
481	D₅×C₄⋊C₄	—	3	1	no	—
482	D₅×C₄⋊C₄	—	3	1	no	—
483	D₅×C₄⋊C₄	—	3	1	no	—
484	D₅×C₄⋊C₄	—	3	1	no	—
485	D₅×C₄⋊C₄	—	3	1	no	—
486	D₅×C₄⋊C₄	—	3	1	no	—
487	D₅×C₄⋊C₄	—	3	1	no	—
488	D₅×C₄⋊C₄	—	3	1	no	—
489	D₅×C₄⋊C₄	—	3	1	no	—
490	D₅×C₄⋊C₄	—	3	1	no	—
491	D₅×C₄⋊C₄	—	3	1	no	—
492	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
493	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
494	#4036	—	3	1	no	—
495	#4036	—	3	1	no	—
496	#4036	—	3	1	no	—
497	#4036	—	3	1	no	—
498	#4036	—	3	1	no	—
499	#4036	—	3	1	no	—
500	#4035	—	3	1	no	—
501	#4035	—	3	1	no	—
502	#4035	—	3	1	no	—
503	#4035	—	3	1	no	—
504	#4035	—	3	1	no	—
505	#4035	—	3	1	no	—
506	#4035	—	3	1	no	—
507	#4035	—	3	1	no	—
508	#4035	—	3	1	no	—
509	#4035	—	3	1	no	—
510	#4035	—	3	1	no	—
511	#4035	—	3	1	no	—
512	#4033	—	3	1	no	—
513	#4033	—	3	1	no	—
514	#4033	—	3	1	no	—
515	#4032	—	3	1	no	—
516	#4032	C₂×D₃	1	1	yes	characteristic
517	#4029	—	3	1	no	—
518	#4029	—	3	1	no	—
519	#4029	C₂×D₃	1	1	yes	characteristic
520	#4029	C₂×D₃	1	1	yes	characteristic
521	#4027	—	3	1	no	—
522	#4027	—	3	1	no	—
523	D₅×C₂²⋊C₄	—	3	1	no	—
524	D₅×C₂²⋊C₄	—	3	1	no	—
525	D₅×C₂²⋊C₄	—	3	1	no	—
526	D₅×C₂²⋊C₄	—	3	1	no	—
527	D₅×C₂²⋊C₄	—	3	1	no	—
528	D₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
529	D₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
530	D₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
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	—	3	1	no	—
537	#4024	—	3	1	no	—
538	#4024	—	3	1	no	—
539	#4024	—	3	1	no	—
540	#4024	—	3	1	no	—
541	#4023	—	3	1	no	—
542	#4023	—	3	1	no	—
543	#4023	—	3	1	no	—
544	#4023	—	3	1	no	—
545	#4023	—	3	1	no	—
546	#4023	—	3	1	no	—
547	#4022	—	3	1	no	—
548	#4022	—	3	1	no	—
549	C₄×D₂₀	—	3	1	no	—
550	#4018	—	3	1	no	—
551	#4018	—	3	1	no	—
552	#4018	—	3	1	no	—
553	#4018	—	3	1	no	—
554	#4018	—	3	1	no	—
555	#4018	—	3	1	no	—
556	C₄²×D₅	—	3	1	no	—
557	C₄²×D₅	—	3	1	no	—
558	C₄²×D₅	—	3	1	no	—
559	C₄²×D₅	—	3	1	no	—
560	C₄²×D₅	—	3	1	no	—
561	#4016	—	3	1	no	—
562	#4016	—	3	1	no	—
563	#4016	—	3	1	no	—
564	C₄×Dic₁₀	—	3	1	no	—
565	C₄×Dic₁₀	—	3	1	no	—
566	C₄×Dic₁₀	—	3	1	no	—
567	C₂×#552	—	15	1	no	Sylow
568	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
569	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₃×D₅	—	2	2	no	—
571	C₂²×C₃×D₅	—	2	2	no	—
572	C₂²×C₃×D₅	—	2	2	no	—
573	C₂²×C₃×D₅	—	2	2	no	—
574	C₂²×C₃×D₅	—	2	2	no	—
575	C₂²×C₃×D₅	#41	1	4	yes	—
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	C₃×C₅×D₄	—	2	2	no	—
580	C₂×C₃×C₄×C₅	—	2	2	no	—
581	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
582	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
583	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
584	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
585	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₁₅	—	2	2	no	—
587	C₂×Dic₁₅	—	2	2	no	—
588	C₂×Dic₁₅	—	2	2	no	—
589	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
590	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
592	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	Dic₃₀	—	2	2	no	—
598	C₂×C₅×Dic₃	—	2	2	no	—
599	C₂×C₅×Dic₃	—	2	2	no	—
600	C₂×C₅×Dic₃	—	2	2	no	—
601	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
605	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×Dic₆	—	2	2	no	—
610	C₃×C₂²⋊D₅	—	2	2	no	—
611	C₃×C₂²⋊D₅	—	2	2	no	—
612	C₂×C₃×Dic₅	—	2	2	no	—
613	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
614	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
615	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
616	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
617	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
618	C₃×D₂₀	—	2	2	no	—
619	C₃×C₄×D₅	—	2	2	no	—
620	C₃×C₄×D₅	—	2	2	no	—
621	C₃×C₄×D₅	—	2	2	no	—
622	C₃×C₄×D₅	—	2	2	no	—
623	C₃×C₄×D₅	—	2	2	no	—
624	C₃×C₄×D₅	—	2	2	no	—
625	C₃×C₄×D₅	—	2	2	no	—
626	#1204	—	2	2	no	—
627	#1204	—	2	2	no	—
628	D₅×Dic₃	—	2	2	no	—
629	D₅×Dic₃	—	2	2	no	—
630	D₅×Dic₃	—	2	2	no	—
631	D₅×Dic₃	—	2	2	no	—
632	D₅×Dic₃	—	2	2	no	—
633	D₅×Dic₃	—	2	2	no	—
634	D₅×Dic₃	—	2	2	no	—
635	D₅×Dic₃	—	2	2	no	—
636	D₅×Dic₃	—	2	2	no	—
637	D₅×Dic₃	—	2	2	no	—
638	D₅×Dic₃	—	2	2	no	—
639	D₅×Dic₃	—	2	2	no	—
640	D₅×Dic₃	—	2	2	no	—
641	D₅×Dic₃	#41	1	4	yes	—
642	C₂²×C₃×D₄	—	5	1	no	—
643	C₂³×C₃×C₄	—	5	1	no	—
644	C₂³×Dic₃	—	5	1	no	—
645	C₂³×Dic₃	—	5	1	no	—
646	C₂³×Dic₃	—	5	1	no	—
647	C₂²×Dic₆	—	5	1	no	—
648	C₃×#123	—	5	1	no	—
649	C₃×#123	—	5	1	no	—
650	C₃×#123	—	5	1	no	—
651	C₃×#123	—	5	1	no	—
652	C₃×#123	—	5	1	no	—
653	C₃×#123	—	5	1	no	—
654	C₃×#123	—	5	1	no	—
655	C₃×#123	C₂×D₅	1	1	yes	characteristic
656	C₂×C₃×C₄⋊C₄	—	5	1	no	—
657	C₂×C₃×C₄⋊C₄	—	5	1	no	—
658	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
659	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
660	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
661	C₂×#217	—	5	1	no	—
662	C₂×#217	—	5	1	no	—
663	C₂×#217	—	5	1	no	—
664	C₂×#217	—	5	1	no	—
665	C₂×#217	—	5	1	no	—
666	#935	—	5	1	no	—
667	#935	—	5	1	no	—
668	#935	—	5	1	no	—
669	#935	—	5	1	no	—
670	#935	—	5	1	no	—
671	#935	—	5	1	no	—
672	#935	—	5	1	no	—
673	#935	C₂×D₅	1	1	yes	characteristic
674	D₄×Dic₃	—	5	1	no	—
675	D₄×Dic₃	—	5	1	no	—
676	D₄×Dic₃	—	5	1	no	—
677	D₄×Dic₃	—	5	1	no	—
678	D₄×Dic₃	—	5	1	no	—
679	D₄×Dic₃	—	5	1	no	—
680	D₄×Dic₃	—	5	1	no	—
681	D₄×Dic₃	C₂×D₅	1	1	yes	characteristic
682	#926	—	5	1	no	—
683	#926	—	5	1	no	—
684	#926	—	5	1	no	—
685	#926	—	5	1	no	—
686	#926	—	5	1	no	—
687	#926	—	5	1	no	—
688	#926	—	5	1	no	—
689	#926	C₂×D₅	1	1	yes	characteristic, complemented
690	C₂×C₄⋊Dic₃	—	5	1	no	—
691	C₂×C₄⋊Dic₃	—	5	1	no	—
692	C₂×C₄⋊Dic₃	—	5	1	no	—
693	C₂×C₄⋊Dic₃	—	5	1	no	—
694	C₂×Dic₃⋊C₄	—	5	1	no	—
695	C₂×Dic₃⋊C₄	—	5	1	no	—
696	C₂×Dic₃⋊C₄	—	5	1	no	—
697	C₂×Dic₃⋊C₄	—	5	1	no	—
698	C₂×Dic₃⋊C₄	—	5	1	no	—
699	C₂×Dic₃⋊C₄	—	5	1	no	—
700	C₂×Dic₃⋊C₄	—	5	1	no	—
701	C₂×Dic₃⋊C₄	—	5	1	no	—
702	C₂×Dic₃⋊C₄	—	5	1	no	—
703	C₂×Dic₃⋊C₄	—	5	1	no	—
704	C₂×Dic₃⋊C₄	—	5	1	no	—
705	C₂×Dic₃⋊C₄	—	5	1	no	—
706	C₂×Dic₃⋊C₄	—	5	1	no	—
707	C₂×Dic₃⋊C₄	—	5	1	no	—
708	C₂×Dic₃⋊C₄	—	5	1	no	—
709	C₂×Dic₃⋊C₄	—	5	1	no	—
710	C₂×Dic₃⋊C₄	—	5	1	no	—
711	C₂×Dic₃⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
712	C₂×C₄×Dic₃	—	5	1	no	—
713	C₂×C₄×Dic₃	—	5	1	no	—
714	C₂×C₄×Dic₃	—	5	1	no	—
715	C₂×C₄×Dic₃	—	5	1	no	—
716	C₂×C₄×Dic₃	—	5	1	no	—
717	#890	—	5	1	no	—
718	#890	—	5	1	no	—
719	#890	—	5	1	no	—
720	#890	—	5	1	no	—
721	#890	—	5	1	no	—
722	#890	—	5	1	no	—
723	#890	—	5	1	no	—
724	#890	C₂×D₅	1	1	yes	characteristic, complemented
725	#889	—	5	1	no	—
726	#889	—	5	1	no	—
727	#889	—	5	1	no	—
728	#889	—	5	1	no	—
729	#889	—	5	1	no	—
730	#889	—	5	1	no	—
731	#889	—	5	1	no	—
732	#889	—	5	1	no	—
733	#889	—	5	1	no	—
734	#889	—	5	1	no	—
735	#889	—	5	1	no	—
736	#889	—	5	1	no	—
737	#889	—	5	1	no	—
738	#889	—	5	1	no	—
739	#889	C₂×D₅	1	1	yes	characteristic, complemented
740	#889	C₂×D₅	1	1	yes	characteristic, complemented
741	#887	—	5	1	no	—
742	#887	—	5	1	no	—
743	#887	—	5	1	no	—
744	#887	—	5	1	no	—
745	#887	—	5	1	no	—
746	#887	—	5	1	no	—
747	#887	—	5	1	no	—
748	#887	C₂×D₅	1	1	yes	characteristic, complemented
749	#879	—	5	1	no	—
750	#879	—	5	1	no	—
751	#879	—	5	1	no	—
752	#879	—	5	1	no	—
753	#879	—	5	1	no	—
754	#879	—	5	1	no	—
755	#879	—	5	1	no	—
756	#879	—	5	1	no	—
757	#879	—	5	1	no	—
758	#879	—	5	1	no	—
759	#879	—	5	1	no	—
760	#879	—	5	1	no	—
761	#879	—	5	1	no	—
762	#879	—	5	1	no	—
763	#879	C₂×D₅	1	1	yes	characteristic, complemented
764	#879	C₂×D₅	1	1	yes	characteristic, complemented
765	#878	—	5	1	no	—
766	#878	—	5	1	no	—
767	#878	—	5	1	no	—
768	#878	—	5	1	no	—
769	#878	—	5	1	no	—
770	#878	—	5	1	no	—
771	#878	—	5	1	no	—
772	#878	—	5	1	no	—
773	#878	—	5	1	no	—
774	#878	—	5	1	no	—
775	#878	—	5	1	no	—
776	#878	—	5	1	no	—
777	#878	—	5	1	no	—
778	#878	—	5	1	no	—
779	#878	C₂×D₅	1	1	yes	characteristic, complemented
780	#878	C₂×D₅	1	1	yes	characteristic, complemented
781	#877	—	5	1	no	—
782	#877	—	5	1	no	—
783	#877	—	5	1	no	—
784	#877	—	5	1	no	—
785	#877	—	5	1	no	—
786	#877	—	5	1	no	—
787	#877	—	5	1	no	—
788	#877	—	5	1	no	—
789	#877	—	5	1	no	—
790	#877	—	5	1	no	—
791	#877	—	5	1	no	—
792	#877	—	5	1	no	—
793	#877	—	5	1	no	—
794	#877	—	5	1	no	—
795	#877	C₂×D₅	1	1	yes	characteristic, complemented
796	#877	C₂×D₅	1	1	yes	characteristic, complemented
797	C₂³×D₅	C₂²×D₃	1	1	yes	characteristic
798	C₂³×D₅	C₂²×D₃	1	1	yes	characteristic
799	C₂×C₅×Q₈	—	3	1	no	—
800	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
801	C₂²×C₄×C₅	—	3	1	no	—
802	C₂²×C₄×C₅	—	3	1	no	—
803	C₂²×C₄×C₅	—	3	1	no	—
804	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
805	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
806	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
807	C₂²×Dic₅	—	3	1	no	—
808	C₂²×Dic₅	—	3	1	no	—
809	C₂²×Dic₅	—	3	1	no	—
810	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
811	Q₈×D₅	—	6	4	no	—
812	D₄×D₅	—	2	4	no	—
813	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
814	C₂×C₄×D₅	—	2	4	no	—
815	C₂×C₄×D₅	—	3	1	no	—
816	C₂×C₄×D₅	—	3	1	no	—
817	C₂×C₄×D₅	—	3	1	no	—
818	C₂×C₄×D₅	—	3	1	no	—
819	C₂×C₄×D₅	—	3	1	no	—
820	C₂×C₄×D₅	—	3	1	no	—
821	C₂×C₄×D₅	—	3	1	no	—
822	C₂×C₄×D₅	—	3	1	no	—
823	C₂×C₄×D₅	—	3	1	no	—
824	C₂×C₄×D₅	—	3	1	no	—
825	C₂×C₄×D₅	—	3	1	no	—
826	C₂×C₄×D₅	—	3	1	no	—
827	C₂×C₄×D₅	—	3	1	no	—
828	C₂×C₄×D₅	—	3	1	no	—
829	C₂×C₄×D₅	—	6	4	no	—
830	C₂×C₄×D₅	—	6	4	no	—
831	C₂×C₄×D₅	—	6	4	no	—
832	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
833	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
834	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
835	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
836	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
837	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
838	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
839	C₂×Dic₁₀	—	3	1	no	—
840	C₂×Dic₁₀	—	3	1	no	—
841	C₂×Dic₁₀	—	3	1	no	—
842	C₅×C₄⋊C₄	—	3	1	no	—
843	C₅×C₄⋊C₄	—	3	1	no	—
844	C₅×C₄⋊C₄	—	3	1	no	—
845	C₅×C₄⋊C₄	—	3	1	no	—
846	C₅×C₄⋊C₄	—	3	1	no	—
847	C₅×C₄⋊C₄	—	3	1	no	—
848	C₅×C₄⋊C₄	—	3	1	no	—
849	C₅×C₄⋊C₄	—	3	1	no	—
850	C₅×C₄⋊C₄	—	3	1	no	—
851	C₅×C₄⋊C₄	—	3	1	no	—
852	C₅×C₄⋊C₄	—	3	1	no	—
853	C₅×C₄⋊C₄	—	3	1	no	—
854	C₅×C₄⋊C₄	—	3	1	no	—
855	C₅×C₄⋊C₄	—	3	1	no	—
856	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
857	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
858	C₅×C₂²⋊C₄	—	3	1	no	—
859	C₅×C₂²⋊C₄	—	3	1	no	—
860	C₅×C₂²⋊C₄	—	3	1	no	—
861	C₅×C₂²⋊C₄	—	3	1	no	—
862	C₅×C₂²⋊C₄	—	3	1	no	—
863	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
864	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
865	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
866	C₄²×C₅	—	3	1	no	—
867	C₄²×C₅	—	3	1	no	—
868	C₄²×C₅	—	3	1	no	—
869	C₄²×C₅	—	3	1	no	—
870	C₄²×C₅	—	3	1	no	—
871	C₂²⋊Dic₅	—	3	1	no	—
872	C₂²⋊Dic₅	—	3	1	no	—
873	C₂²⋊Dic₅	—	3	1	no	—
874	C₂²⋊Dic₅	—	3	1	no	—
875	C₂²⋊Dic₅	—	3	1	no	—
876	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
877	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
878	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
879	#685	—	3	1	no	—
880	#685	—	3	1	no	—
881	#685	—	3	1	no	—
882	#685	—	3	1	no	—
883	#685	—	3	1	no	—
884	#685	—	3	1	no	—
885	#685	—	3	1	no	—
886	#685	—	3	1	no	—
887	#685	—	3	1	no	—
888	#685	—	3	1	no	—
889	#685	C₂²×D₃	1	1	yes	characteristic
890	#685	C₂²×D₃	1	1	yes	characteristic
891	#685	C₂²×D₃	1	1	yes	characteristic
892	#685	C₂²×D₃	1	1	yes	characteristic
893	#685	C₂²×D₃	1	1	yes	characteristic
894	#685	C₂²×D₃	1	1	yes	characteristic
895	C₄⋊Dic₅	—	3	1	no	—
896	C₄⋊Dic₅	—	3	1	no	—
897	C₄⋊Dic₅	—	3	1	no	—
898	C₄⋊Dic₅	—	3	1	no	—
899	C₄⋊Dic₅	—	3	1	no	—
900	C₄⋊Dic₅	—	3	1	no	—
901	C₄⋊Dic₅	—	3	1	no	—
902	C₄⋊Dic₅	—	3	1	no	—
903	C₄⋊Dic₅	—	3	1	no	—
904	C₄⋊Dic₅	—	3	1	no	—
905	C₄⋊Dic₅	—	3	1	no	—
906	C₄⋊Dic₅	—	3	1	no	—
907	C₄⋊Dic₅	—	3	1	no	—
908	C₄⋊Dic₅	—	3	1	no	—
909	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
910	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
911	#683	—	3	1	no	—
912	#683	—	3	1	no	—
913	#683	—	3	1	no	—
914	#683	—	3	1	no	—
915	#683	—	3	1	no	—
916	#683	—	3	1	no	—
917	#683	—	3	1	no	—
918	#683	—	3	1	no	—
919	#683	—	3	1	no	—
920	#683	—	3	1	no	—
921	#683	—	3	1	no	—
922	#683	—	3	1	no	—
923	#683	—	3	1	no	—
924	#683	—	3	1	no	—
925	#683	—	3	1	no	—
926	#683	—	3	1	no	—
927	#683	—	3	1	no	—
928	#683	—	3	1	no	—
929	#683	—	3	1	no	—
930	#683	—	3	1	no	—
931	#683	—	3	1	no	—
932	#683	—	3	1	no	—
933	#683	—	3	1	no	—
934	#683	—	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	C₂²×D₃	1	1	yes	characteristic
940	#683	C₂²×D₃	1	1	yes	characteristic
941	#683	C₂²×D₃	1	1	yes	characteristic
942	#683	C₂²×D₃	1	1	yes	characteristic
943	C₄×Dic₅	—	3	1	no	—
944	C₄×Dic₅	—	3	1	no	—
945	C₄×Dic₅	—	3	1	no	—
946	C₄×Dic₅	—	3	1	no	—
947	C₄×Dic₅	—	3	1	no	—
948	C₄×Dic₅	—	3	1	no	—
949	C₄×Dic₅	—	3	1	no	—
950	C₄×Dic₅	—	3	1	no	—
951	C₄×Dic₅	—	3	1	no	—
952	C₄×Dic₅	—	3	1	no	—
953	C₄×Dic₅	—	3	1	no	—
954	C₄×Dic₅	—	3	1	no	—
955	C₄×Dic₅	—	3	1	no	—
956	C₄×Dic₅	—	3	1	no	—
957	C₄×Dic₅	—	3	1	no	—
958	#552	—	3	1	no	—
959	#552	—	15	1	no	—
960	#552	—	15	1	no	—
961	#552	—	15	1	no	—
962	#552	—	15	1	no	—
963	#552	—	15	1	no	—
964	#552	—	15	1	no	—
965	#552	—	15	1	no	—
966	#552	—	15	1	no	—
967	#552	—	15	1	no	—
968	#552	—	15	1	no	—
969	#552	—	15	1	no	—
970	#552	—	15	1	no	—
971	#552	—	15	1	no	—
972	#552	—	15	1	no	—
973	#552	—	15	1	no	—
974	C₂×#126	—	15	1	no	—
975	C₂×#126	—	15	1	no	—
976	C₂×#125	—	15	1	no	—
977	C₂×#125	—	15	1	no	—
978	C₂×#125	—	15	1	no	—
979	C₂×#123	—	5	1	no	—
980	C₂×#123	—	15	1	no	—
981	C₂×C₂²⋊Q₈	—	15	1	no	—
982	C₂×C₂²⋊Q₈	—	15	1	no	—
983	C₂×C₄×Q₈	—	15	1	no	—
984	C₂×C₄×D₄	—	15	1	no	—
985	C₂×#117	—	15	1	no	—
986	C₂×#117	—	15	1	no	—
987	C₂×#117	—	15	1	no	—
988	C₂²×C₄⋊C₄	—	15	1	no	—
989	C₂²×C₃×C₅	—	2	1	no	—
990	C₂²×C₃×C₅	—	2	1	no	—
991	C₂²×C₃×C₅	—	2	1	no	—
992	C₂²×C₃×C₅	—	2	1	no	—
993	C₂²×C₃×C₅	—	2	1	no	—
994	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
995	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
996	C₂×C₃×D₅	—	2	1	no	—
997	C₂×C₃×D₅	—	2	1	no	—
998	C₂×C₃×D₅	—	2	8	no	—
999	C₂×C₃×D₅	—	2	1	no	—
1000	C₂×C₃×D₅	—	2	1	no	—
1001	C₂×C₃×D₅	—	2	1	no	—
1002	C₂×C₃×D₅	—	4	4	no	—
1003	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1004	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1005	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1006	C₂×C₃×D₅	2₋¹⁺⁴	1	2	yes	—
1007	C₃×C₄×C₅	—	2	1	no	—
1008	C₃×C₄×C₅	—	2	1	no	—
1009	C₃×C₄×C₅	—	2	1	no	—
1010	C₃×C₄×C₅	—	2	1	no	—
1011	C₃×C₄×C₅	—	2	1	no	—
1012	Dic₁₅	—	2	1	no	—
1013	Dic₁₅	—	2	1	no	—
1014	Dic₁₅	—	2	1	no	—
1015	Dic₁₅	—	2	1	no	—
1016	Dic₁₅	—	2	1	no	—
1017	Dic₁₅	—	2	1	no	—
1018	Dic₁₅	—	2	1	no	—
1019	Dic₁₅	C₂×#41	1	2	yes	—
1020	C₃×Dic₅	—	2	1	no	—
1021	C₃×Dic₅	—	2	1	no	—
1022	C₃×Dic₅	—	2	1	no	—
1023	C₃×Dic₅	—	2	1	no	—
1024	C₃×Dic₅	—	2	1	no	—
1025	C₅×Dic₃	—	2	1	no	—
1026	C₅×Dic₃	—	2	1	no	—
1027	C₅×Dic₃	—	2	1	no	—
1028	C₅×Dic₃	—	2	1	no	—
1029	C₅×Dic₃	—	2	1	no	—
1030	C₅×Dic₃	—	2	1	no	—
1031	C₅×Dic₃	—	2	1	no	—
1032	C₅×Dic₃	C₂×#41	1	2	yes	—
1033	C₂⁴×C₃	—	5	1	no	—
1034	C₂⁴×C₃	—	5	1	no	—
1035	C₂×C₃×D₄	—	5	1	no	—
1036	C₂×C₃×D₄	—	5	1	no	—
1037	C₂×C₃×D₄	—	5	1	no	—
1038	C₂×C₃×D₄	—	10	4	no	—
1039	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1040	C₂²×C₃×C₄	—	5	1	no	—
1041	C₂²×C₃×C₄	—	5	1	no	—
1042	C₂²×C₃×C₄	—	5	1	no	—
1043	C₂²×C₃×C₄	—	5	1	no	—
1044	C₂²×C₃×C₄	—	5	1	no	—
1045	C₂²×C₃×C₄	—	5	1	no	—
1046	C₂²×C₃×C₄	—	5	1	no	—
1047	C₂²×C₃×C₄	—	5	1	no	—
1048	C₂²×C₃×C₄	—	10	4	no	—
1049	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1050	C₂²×Dic₃	—	5	1	no	—
1051	C₂²×Dic₃	—	5	1	no	—
1052	C₂²×Dic₃	—	5	1	no	—
1053	C₂²×Dic₃	—	5	1	no	—
1054	C₂²×Dic₃	—	5	1	no	—
1055	C₂²×Dic₃	—	5	1	no	—
1056	C₂²×Dic₃	—	5	1	no	—
1057	C₂²×Dic₃	—	5	1	no	—
1058	C₂²×Dic₃	—	5	1	no	—
1059	C₂²×Dic₃	—	5	1	no	—
1060	C₂²×Dic₃	—	5	1	no	—
1061	C₂²×Dic₃	—	5	1	no	—
1062	C₂²×Dic₃	—	5	1	no	—
1063	C₂²×Dic₃	—	5	1	no	—
1064	C₂²×Dic₃	—	5	1	no	—
1065	C₂²×Dic₃	—	5	1	no	—
1066	C₂²×Dic₃	—	5	1	no	—
1067	C₂²×Dic₃	—	10	4	no	—
1068	C₂²×Dic₃	—	10	4	no	—
1069	C₂²×Dic₃	—	10	4	no	—
1070	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1071	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1072	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1073	C₂×Dic₆	—	5	1	no	—
1074	C₂×Dic₆	—	5	1	no	—
1075	C₂×Dic₆	—	5	1	no	—
1076	C₂×Dic₆	—	10	4	no	—
1077	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1078	C₃×C₄⋊C₄	—	5	1	no	—
1079	C₃×C₄⋊C₄	—	5	1	no	—
1080	C₃×C₄⋊C₄	—	5	1	no	—
1081	C₃×C₄⋊C₄	—	5	1	no	—
1082	C₃×C₄⋊C₄	—	5	1	no	—
1083	C₃×C₄⋊C₄	—	5	1	no	—
1084	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1085	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1086	C₃×C₂²⋊C₄	—	5	1	no	—
1087	C₃×C₂²⋊C₄	—	5	1	no	—
1088	C₃×C₂²⋊C₄	—	5	1	no	—
1089	C₃×C₂²⋊C₄	—	5	1	no	—
1090	C₃×C₂²⋊C₄	—	5	1	no	—
1091	C₃×C₂²⋊C₄	—	5	1	no	—
1092	C₃×C₂²⋊C₄	—	5	1	no	—
1093	C₃×C₂²⋊C₄	—	5	1	no	—
1094	C₃×C₂²⋊C₄	—	5	1	no	—
1095	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1096	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1097	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1098	#217	—	5	1	no	—
1099	#217	—	5	1	no	—
1100	#217	—	5	1	no	—
1101	#217	—	5	1	no	—
1102	#217	—	5	1	no	—
1103	#217	—	5	1	no	—
1104	#217	—	5	1	no	—
1105	#217	—	5	1	no	—
1106	#217	—	5	1	no	—
1107	#217	—	5	1	no	—
1108	#217	—	5	1	no	—
1109	#217	—	5	1	no	—
1110	#217	—	5	1	no	—
1111	#217	—	5	1	no	—
1112	#217	—	5	1	no	—
1113	#217	C₂²×D₅	1	1	yes	characteristic
1114	#217	C₂²×D₅	1	1	yes	characteristic
1115	#217	C₂²×D₅	1	1	yes	characteristic
1116	#217	C₂²×D₅	1	1	yes	characteristic
1117	#217	C₂²×D₅	1	1	yes	characteristic
1118	C₄⋊Dic₃	—	5	1	no	—
1119	C₄⋊Dic₃	—	5	1	no	—
1120	C₄⋊Dic₃	—	5	1	no	—
1121	C₄⋊Dic₃	—	5	1	no	—
1122	C₄⋊Dic₃	—	5	1	no	—
1123	C₄⋊Dic₃	—	5	1	no	—
1124	C₄⋊Dic₃	—	5	1	no	—
1125	C₄⋊Dic₃	—	5	1	no	—
1126	C₄⋊Dic₃	—	5	1	no	—
1127	C₄⋊Dic₃	—	5	1	no	—
1128	C₄⋊Dic₃	—	5	1	no	—
1129	C₄⋊Dic₃	—	5	1	no	—
1130	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1131	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1132	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1133	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1134	Dic₃⋊C₄	—	5	1	no	—
1135	Dic₃⋊C₄	—	5	1	no	—
1136	Dic₃⋊C₄	—	5	1	no	—
1137	Dic₃⋊C₄	—	5	1	no	—
1138	Dic₃⋊C₄	—	5	1	no	—
1139	Dic₃⋊C₄	—	5	1	no	—
1140	Dic₃⋊C₄	—	5	1	no	—
1141	Dic₃⋊C₄	—	5	1	no	—
1142	Dic₃⋊C₄	—	5	1	no	—
1143	Dic₃⋊C₄	—	5	1	no	—
1144	Dic₃⋊C₄	—	5	1	no	—
1145	Dic₃⋊C₄	—	5	1	no	—
1146	Dic₃⋊C₄	—	5	1	no	—
1147	Dic₃⋊C₄	—	5	1	no	—
1148	Dic₃⋊C₄	—	5	1	no	—
1149	Dic₃⋊C₄	—	5	1	no	—
1150	Dic₃⋊C₄	—	5	1	no	—
1151	Dic₃⋊C₄	—	5	1	no	—
1152	Dic₃⋊C₄	—	5	1	no	—
1153	Dic₃⋊C₄	—	5	1	no	—
1154	Dic₃⋊C₄	—	5	1	no	—
1155	Dic₃⋊C₄	—	5	1	no	—
1156	Dic₃⋊C₄	—	5	1	no	—
1157	Dic₃⋊C₄	—	5	1	no	—
1158	Dic₃⋊C₄	—	5	1	no	—
1159	Dic₃⋊C₄	—	5	1	no	—
1160	Dic₃⋊C₄	—	5	1	no	—
1161	Dic₃⋊C₄	—	5	1	no	—
1162	Dic₃⋊C₄	—	5	1	no	—
1163	Dic₃⋊C₄	—	5	1	no	—
1164	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1165	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1166	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1167	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1168	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1169	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1170	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1171	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1172	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1173	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1174	C₄×Dic₃	—	5	1	no	—
1175	C₄×Dic₃	—	5	1	no	—
1176	C₄×Dic₃	—	5	1	no	—
1177	C₄×Dic₃	—	5	1	no	—
1178	C₄×Dic₃	—	5	1	no	—
1179	C₄×Dic₃	—	5	1	no	—
1180	C₄×Dic₃	—	5	1	no	—
1181	C₄×Dic₃	—	5	1	no	—
1182	C₄×Dic₃	—	5	1	no	—
1183	C₄×Dic₃	—	5	1	no	—
1184	C₄×Dic₃	—	5	1	no	—
1185	C₄×Dic₃	—	5	1	no	—
1186	C₄×Dic₃	—	5	1	no	—
1187	C₄×Dic₃	—	5	1	no	—
1188	C₄×Dic₃	—	5	1	no	—
1189	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1190	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1191	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1192	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1193	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1194	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1195	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1196	C₂²×D₅	—	2	2	no	—
1197	C₂²×D₅	—	2	2	no	—
1198	C₂²×D₅	—	2	2	no	—
1199	C₂²×D₅	—	2	2	no	—
1200	C₂²×D₅	—	2	2	no	—
1201	C₂²×D₅	#237	1	4	yes	—
1202	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1203	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1204	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1205	C₅×Q₈	—	6	2	no	—
1206	C₅×D₄	—	2	2	no	—
1207	C₂×C₄×C₅	—	2	2	no	—
1208	C₂×C₄×C₅	—	3	1	no	—
1209	C₂×C₄×C₅	—	3	1	no	—
1210	C₂×C₄×C₅	—	3	1	no	—
1211	C₂×C₄×C₅	—	3	1	no	—
1212	C₂×C₄×C₅	—	3	1	no	—
1213	C₂×C₄×C₅	—	3	1	no	—
1214	C₂×C₄×C₅	—	3	1	no	—
1215	C₂×C₄×C₅	—	3	1	no	—
1216	C₂×C₄×C₅	—	6	2	no	—
1217	C₂×C₄×C₅	—	6	2	no	—
1218	C₂×C₄×C₅	—	6	2	no	—
1219	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1220	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1221	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1222	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1223	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1224	C₂²⋊D₅	—	2	2	no	—
1225	C₂²⋊D₅	—	2	2	no	—
1226	C₂×Dic₅	—	2	2	no	—
1227	C₂×Dic₅	—	3	1	no	—
1228	C₂×Dic₅	—	3	1	no	—
1229	C₂×Dic₅	—	3	1	no	—
1230	C₂×Dic₅	—	3	1	no	—
1231	C₂×Dic₅	—	3	1	no	—
1232	C₂×Dic₅	—	3	1	no	—
1233	C₂×Dic₅	—	3	1	no	—
1234	C₂×Dic₅	—	3	1	no	—
1235	C₂×Dic₅	—	6	2	no	—
1236	C₂×Dic₅	—	6	2	no	—
1237	C₂×Dic₅	—	6	2	no	—
1238	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1239	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1240	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1241	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1242	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1243	D₂₀	—	2	2	no	—
1244	C₄×D₅	—	2	2	no	—
1245	C₄×D₅	—	2	2	no	—
1246	C₄×D₅	—	2	2	no	—
1247	C₄×D₅	—	2	2	no	—
1248	C₄×D₅	—	2	2	no	—
1249	C₄×D₅	—	2	2	no	—
1250	C₄×D₅	—	2	2	no	—
1251	C₄×D₅	—	3	4	no	—
1252	C₄×D₅	—	6	2	no	—
1253	C₄×D₅	—	6	2	no	—
1254	C₄×D₅	—	6	2	no	—
1255	C₄×D₅	—	6	2	no	—
1256	C₄×D₅	—	6	2	no	—
1257	C₄×D₅	—	6	2	no	—
1258	C₄×D₅	—	6	2	no	—
1259	C₄×D₅	—	6	2	no	—
1260	C₄×D₅	—	6	2	no	—
1261	C₄×D₅	—	6	2	no	—
1262	C₄×D₅	—	6	2	no	—
1263	C₄×D₅	—	6	2	no	—
1264	C₄×D₅	—	6	2	no	—
1265	Dic₁₀	—	6	2	no	—
1266	Dic₁₀	—	6	2	no	—
1267	Dic₁₀	—	6	2	no	—
1268	C₂²×Q₈	—	15	1	no	—
1269	C₂²×D₄	—	5	1	no	—
1270	C₂³×C₄	—	5	1	no	—
1271	C₂³×C₄	—	15	1	no	—
1272	C₂³×C₄	—	15	1	no	—
1273	C₂³×C₄	—	15	1	no	—
1274	#126	—	3	1	no	—
1275	#126	—	3	1	no	—
1276	#126	—	15	1	no	—
1277	#126	—	15	1	no	—
1278	#126	—	15	1	no	—
1279	#126	—	15	1	no	—
1280	#126	—	15	1	no	—
1281	#126	—	15	1	no	—
1282	#126	—	15	1	no	—
1283	#126	—	15	1	no	—
1284	#126	—	15	1	no	—
1285	#126	—	15	1	no	—
1286	#126	—	15	1	no	—
1287	#126	—	15	1	no	—
1288	#126	—	15	1	no	—
1289	#126	—	15	1	no	—
1290	#125	—	3	1	no	—
1291	#125	—	3	1	no	—
1292	#125	—	3	1	no	—
1293	#125	—	15	1	no	—
1294	#125	—	15	1	no	—
1295	#125	—	15	1	no	—
1296	#125	—	15	1	no	—
1297	#125	—	15	1	no	—
1298	#125	—	15	1	no	—
1299	#125	—	15	1	no	—
1300	#125	—	15	1	no	—
1301	#125	—	15	1	no	—
1302	#125	—	15	1	no	—
1303	#125	—	15	1	no	—
1304	#125	—	15	1	no	—
1305	#125	—	15	1	no	—
1306	#125	—	15	1	no	—
1307	#125	—	15	1	no	—
1308	#125	—	15	1	no	—
1309	#125	—	15	1	no	—
1310	#125	—	15	1	no	—
1311	#125	—	15	1	no	—
1312	#125	—	15	1	no	—
1313	#125	—	15	1	no	—
1314	#123	—	3	1	no	—
1315	#123	—	5	1	no	—
1316	#123	—	5	1	no	—
1317	#123	—	5	1	no	—
1318	#123	—	5	1	no	—
1319	#123	—	5	1	no	—
1320	#123	—	5	1	no	—
1321	#123	—	5	1	no	—
1322	#123	—	15	1	no	—
1323	#123	—	15	1	no	—
1324	#123	—	15	1	no	—
1325	#123	—	15	1	no	—
1326	#123	—	15	1	no	—
1327	#123	—	15	1	no	—
1328	#123	—	15	1	no	—
1329	#123	D₃×D₅	1	1	yes	characteristic
1330	C₂²⋊Q₈	—	3	1	no	—
1331	C₂²⋊Q₈	—	3	1	no	—
1332	C₂²⋊Q₈	—	15	1	no	—
1333	C₂²⋊Q₈	—	15	1	no	—
1334	C₂²⋊Q₈	—	15	1	no	—
1335	C₂²⋊Q₈	—	15	1	no	—
1336	C₂²⋊Q₈	—	15	1	no	—
1337	C₂²⋊Q₈	—	15	1	no	—
1338	C₂²⋊Q₈	—	15	1	no	—
1339	C₂²⋊Q₈	—	15	1	no	—
1340	C₂²⋊Q₈	—	15	1	no	—
1341	C₂²⋊Q₈	—	15	1	no	—
1342	C₂²⋊Q₈	—	15	1	no	—
1343	C₂²⋊Q₈	—	15	1	no	—
1344	C₂²⋊Q₈	—	15	1	no	—
1345	C₂²⋊Q₈	—	15	1	no	—
1346	C₄×Q₈	—	3	1	no	—
1347	C₄×Q₈	—	15	1	no	—
1348	C₄×Q₈	—	15	1	no	—
1349	C₄×Q₈	—	15	1	no	—
1350	C₄×Q₈	—	15	1	no	—
1351	C₄×Q₈	—	15	1	no	—
1352	C₄×Q₈	—	15	1	no	—
1353	C₄×Q₈	—	15	1	no	—
1354	C₄×D₄	—	3	1	no	—
1355	C₄×D₄	—	15	1	no	—
1356	C₄×D₄	—	15	1	no	—
1357	C₄×D₄	—	15	1	no	—
1358	C₄×D₄	—	15	1	no	—
1359	C₄×D₄	—	15	1	no	—
1360	C₄×D₄	—	15	1	no	—
1361	C₄×D₄	—	15	1	no	—
1362	#117	—	3	1	no	—
1363	#117	—	3	1	no	—
1364	#117	—	3	1	no	—
1365	#117	—	15	1	no	—
1366	#117	—	15	1	no	—
1367	#117	—	15	1	no	—
1368	#117	—	15	1	no	—
1369	#117	—	15	1	no	—
1370	#117	—	15	1	no	—
1371	#117	—	15	1	no	—
1372	#117	—	15	1	no	—
1373	#117	—	15	1	no	—
1374	#117	—	15	1	no	—
1375	#117	—	15	1	no	—
1376	#117	—	15	1	no	—
1377	#117	—	15	1	no	—
1378	#117	—	15	1	no	—
1379	#117	—	15	1	no	—
1380	#117	—	15	1	no	—
1381	#117	—	15	1	no	—
1382	#117	—	15	1	no	—
1383	#117	—	15	1	no	—
1384	#117	—	15	1	no	—
1385	#117	—	15	1	no	—
1386	C₂×C₄⋊C₄	—	3	1	no	—
1387	C₂×C₄⋊C₄	—	5	1	no	—
1388	C₂×C₄⋊C₄	—	5	1	no	—
1389	C₂×C₄⋊C₄	—	15	1	no	—
1390	C₂×C₄⋊C₄	—	15	1	no	—
1391	C₂×C₄⋊C₄	—	15	1	no	—
1392	C₂×C₄⋊C₄	—	15	1	no	—
1393	C₂×C₄⋊C₄	—	15	1	no	—
1394	C₂×C₄⋊C₄	—	15	1	no	—
1395	C₂×C₄⋊C₄	—	15	1	no	—
1396	C₂×C₄⋊C₄	—	15	1	no	—
1397	C₂×C₄⋊C₄	—	15	1	no	—
1398	C₂×C₄⋊C₄	—	15	1	no	—
1399	C₂×C₄⋊C₄	—	15	1	no	—
1400	C₂×C₄⋊C₄	—	15	1	no	—
1401	C₂×C₄⋊C₄	—	15	1	no	—
1402	C₂×C₄⋊C₄	—	15	1	no	—
1403	C₂×C₄⋊C₄	—	15	1	no	—
1404	C₂×C₄⋊C₄	—	15	1	no	—
1405	C₂×C₄⋊C₄	—	15	1	no	—
1406	C₂×C₄⋊C₄	—	15	1	no	—
1407	C₂×C₄⋊C₄	—	15	1	no	—
1408	C₂×C₄⋊C₄	—	15	1	no	—
1409	C₂×C₄⋊C₄	—	15	1	no	—
1410	C₂×C₂²⋊C₄	—	5	1	no	—
1411	C₂×C₂²⋊C₄	—	5	1	no	—
1412	C₂×C₂²⋊C₄	—	5	1	no	—
1413	C₂×C₂²⋊C₄	—	15	1	no	—
1414	C₂×C₂²⋊C₄	—	15	1	no	—
1415	C₂×C₂²⋊C₄	—	15	1	no	—
1416	C₂×C₂²⋊C₄	—	15	1	no	—
1417	C₂×C₂²⋊C₄	—	15	1	no	—
1418	C₂×C₄²	—	15	1	no	—
1419	C₂×C₄²	—	15	1	no	—
1420	C₂×C₄²	—	15	1	no	—
1421	C₂×C₄²	—	15	1	no	—
1422	C₂×C₄²	—	15	1	no	—
1423	C₂×C₃×C₅	—	2	2	no	—
1424	C₂×C₃×C₅	—	4	1	no	—
1425	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1426	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1427	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1428	C₃×D₅	—	2	2	no	—
1429	C₃×D₅	—	4	1	no	—
1430	C₃×D₅	#552	1	4	yes	complemented
1431	C₂³×C₃	—	5	1	no	—
1432	C₂³×C₃	—	5	4	no	—
1433	C₂³×C₃	—	5	1	no	—
1434	C₂³×C₃	—	5	1	no	—
1435	C₂³×C₃	—	10	2	no	—
1436	C₂³×C₃	—	10	2	no	—
1437	C₂³×C₃	—	10	2	no	—
1438	C₂³×C₃	—	10	2	no	—
1439	C₂³×C₃	—	10	2	no	—
1440	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1441	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1442	C₃×D₄	—	2	2	no	—
1443	C₃×D₄	—	10	2	no	—
1444	C₃×D₄	—	10	2	no	—
1445	C₃×D₄	—	10	2	no	—
1446	C₂×C₃×C₄	—	2	2	no	—
1447	C₂×C₃×C₄	—	5	1	no	—
1448	C₂×C₃×C₄	—	5	1	no	—
1449	C₂×C₃×C₄	—	5	1	no	—
1450	C₂×C₃×C₄	—	5	1	no	—
1451	C₂×C₃×C₄	—	5	1	no	—
1452	C₂×C₃×C₄	—	10	2	no	—
1453	C₂×C₃×C₄	—	10	2	no	—
1454	C₂×C₃×C₄	—	10	2	no	—
1455	C₂×C₃×C₄	—	10	2	no	—
1456	C₂×C₃×C₄	—	10	2	no	—
1457	C₂×C₃×C₄	—	10	2	no	—
1458	C₂×C₃×C₄	—	10	2	no	—
1459	C₂×C₃×C₄	—	10	2	no	—
1460	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1461	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1462	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1463	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1464	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1465	C₂×Dic₃	—	2	2	no	—
1466	C₂×Dic₃	—	2	2	no	—
1467	C₂×Dic₃	—	2	2	no	—
1468	C₂×Dic₃	—	5	1	no	—
1469	C₂×Dic₃	—	5	4	no	—
1470	C₂×Dic₃	—	5	1	no	—
1471	C₂×Dic₃	—	5	1	no	—
1472	C₂×Dic₃	—	5	1	no	—
1473	C₂×Dic₃	—	5	1	no	—
1474	C₂×Dic₃	—	5	1	no	—
1475	C₂×Dic₃	—	5	1	no	—
1476	C₂×Dic₃	—	5	1	no	—
1477	C₂×Dic₃	—	10	2	no	—
1478	C₂×Dic₃	—	10	2	no	—
1479	C₂×Dic₃	—	10	2	no	—
1480	C₂×Dic₃	—	10	2	no	—
1481	C₂×Dic₃	—	10	2	no	—
1482	C₂×Dic₃	—	10	2	no	—
1483	C₂×Dic₃	—	10	2	no	—
1484	C₂×Dic₃	—	10	2	no	—
1485	C₂×Dic₃	—	10	2	no	—
1486	C₂×Dic₃	—	10	2	no	—
1487	C₂×Dic₃	—	10	2	no	—
1488	C₂×Dic₃	—	10	2	no	—
1489	C₂×Dic₃	—	10	2	no	—
1490	C₂×Dic₃	—	10	2	no	—
1491	C₂×Dic₃	—	10	2	no	—
1492	C₂×Dic₃	—	10	2	no	—
1493	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1494	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1495	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1496	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1497	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1498	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1499	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1500	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1501	Dic₆	—	2	2	no	—
1502	Dic₆	—	10	2	no	—
1503	Dic₆	—	10	2	no	—
1504	Dic₆	—	10	2	no	—
1505	C₂²×C₅	—	2	1	no	—
1506	C₂²×C₅	—	2	1	no	—
1507	C₂²×C₅	—	2	1	no	—
1508	C₂²×C₅	—	2	1	no	—
1509	C₂²×C₅	—	2	1	no	—
1510	C₂²×C₅	C₂×#237	1	2	yes	—
1511	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1512	C₂×D₅	—	2	1	no	—
1513	C₂×D₅	—	2	1	no	—
1514	C₂×D₅	—	2	8	no	—
1515	C₂×D₅	—	2	1	no	—
1516	C₂×D₅	—	2	1	no	—
1517	C₂×D₅	—	2	1	no	—
1518	C₂×D₅	—	4	4	no	—
1519	C₂×D₅	C₂×#237	1	2	yes	—
1520	C₂×D₅	C₂×#237	1	2	yes	—
1521	C₂×D₅	D₃×#41	1	2	yes	—
1522	C₂×D₅	#1010	1	2	yes	—
1523	C₄×C₅	—	2	1	no	—
1524	C₄×C₅	—	2	1	no	—
1525	C₄×C₅	—	2	1	no	—
1526	C₄×C₅	—	2	1	no	—
1527	C₄×C₅	—	2	1	no	—
1528	C₄×C₅	—	3	2	no	—
1529	C₄×C₅	—	6	1	no	—
1530	C₄×C₅	—	6	1	no	—
1531	C₄×C₅	—	6	1	no	—
1532	C₄×C₅	—	6	1	no	—
1533	C₄×C₅	—	6	1	no	—
1534	C₄×C₅	—	6	1	no	—
1535	C₄×C₅	—	6	1	no	—
1536	Dic₅	—	2	1	no	—
1537	Dic₅	—	2	1	no	—
1538	Dic₅	—	2	1	no	—
1539	Dic₅	—	2	1	no	—
1540	Dic₅	—	2	1	no	—
1541	Dic₅	—	3	2	no	—
1542	Dic₅	—	6	1	no	—
1543	Dic₅	—	6	1	no	—
1544	Dic₅	—	6	1	no	—
1545	Dic₅	—	6	1	no	—
1546	Dic₅	—	6	1	no	—
1547	Dic₅	—	6	1	no	—
1548	Dic₅	—	6	1	no	—
1549	C₂⁴	—	5	1	no	—
1550	C₂⁴	—	5	1	no	—
1551	C₂×Q₈	—	3	1	no	—
1552	C₂×Q₈	—	15	1	no	—
1553	C₂×Q₈	—	15	1	no	—
1554	C₂×Q₈	—	15	1	no	—
1555	C₂×Q₈	—	30	4	no	—
1556	C₂×D₄	—	5	1	no	—
1557	C₂×D₄	—	5	1	no	—
1558	C₂×D₄	—	5	1	no	—
1559	C₂×D₄	—	10	4	no	—
1560	C₂×D₄	C₂×D₃×D₅	1	1	yes	characteristic
1561	C₂²×C₄	—	3	1	no	—
1562	C₂²×C₄	—	3	1	no	—
1563	C₂²×C₄	—	3	1	no	—
1564	C₂²×C₄	—	5	1	no	—
1565	C₂²×C₄	—	5	1	no	—
1566	C₂²×C₄	—	5	1	no	—
1567	C₂²×C₄	—	5	1	no	—
1568	C₂²×C₄	—	5	1	no	—
1569	C₂²×C₄	—	5	1	no	—
1570	C₂²×C₄	—	5	1	no	—
1571	C₂²×C₄	—	5	1	no	—
1572	C₂²×C₄	—	10	4	no	—
1573	C₂²×C₄	—	15	1	no	—
1574	C₂²×C₄	—	15	1	no	—
1575	C₂²×C₄	—	15	1	no	—
1576	C₂²×C₄	—	15	1	no	—
1577	C₂²×C₄	—	15	1	no	—
1578	C₂²×C₄	—	15	1	no	—
1579	C₂²×C₄	—	15	1	no	—
1580	C₂²×C₄	—	15	1	no	—
1581	C₂²×C₄	—	15	1	no	—
1582	C₂²×C₄	—	15	1	no	—
1583	C₂²×C₄	—	15	1	no	—
1584	C₂²×C₄	—	15	1	no	—
1585	C₂²×C₄	—	15	1	no	—
1586	C₂²×C₄	—	15	1	no	—
1587	C₂²×C₄	—	15	1	no	—
1588	C₂²×C₄	—	15	1	no	—
1589	C₂²×C₄	—	15	1	no	—
1590	C₂²×C₄	—	30	4	no	—
1591	C₂²×C₄	—	30	4	no	—
1592	C₂²×C₄	—	30	4	no	—
1593	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
1594	C₄⋊C₄	—	3	1	no	—
1595	C₄⋊C₄	—	3	1	no	—
1596	C₄⋊C₄	—	3	1	no	—
1597	C₄⋊C₄	—	3	1	no	—
1598	C₄⋊C₄	—	3	1	no	—
1599	C₄⋊C₄	—	3	1	no	—
1600	C₄⋊C₄	—	3	1	no	—
1601	C₄⋊C₄	—	3	1	no	—
1602	C₄⋊C₄	—	3	1	no	—
1603	C₄⋊C₄	—	3	1	no	—
1604	C₄⋊C₄	—	3	1	no	—
1605	C₄⋊C₄	—	3	1	no	—
1606	C₄⋊C₄	—	3	1	no	—
1607	C₄⋊C₄	—	3	1	no	—
1608	C₄⋊C₄	—	5	1	no	—
1609	C₄⋊C₄	—	5	1	no	—
1610	C₄⋊C₄	—	5	1	no	—
1611	C₄⋊C₄	—	5	1	no	—
1612	C₄⋊C₄	—	5	1	no	—
1613	C₄⋊C₄	—	5	1	no	—
1614	C₄⋊C₄	—	15	1	no	—
1615	C₄⋊C₄	—	15	1	no	—
1616	C₄⋊C₄	—	15	1	no	—
1617	C₄⋊C₄	—	15	1	no	—
1618	C₄⋊C₄	—	15	1	no	—
1619	C₄⋊C₄	—	15	1	no	—
1620	C₄⋊C₄	—	15	1	no	—
1621	C₄⋊C₄	—	15	1	no	—
1622	C₄⋊C₄	—	15	1	no	—
1623	C₄⋊C₄	—	15	1	no	—
1624	C₄⋊C₄	—	15	1	no	—
1625	C₄⋊C₄	—	15	1	no	—
1626	C₄⋊C₄	—	15	1	no	—
1627	C₄⋊C₄	—	15	1	no	—
1628	C₄⋊C₄	—	15	1	no	—
1629	C₄⋊C₄	—	15	1	no	—
1630	C₄⋊C₄	—	15	1	no	—
1631	C₄⋊C₄	—	15	1	no	—
1632	C₄⋊C₄	—	15	1	no	—
1633	C₄⋊C₄	—	15	1	no	—
1634	C₄⋊C₄	—	15	1	no	—
1635	C₄⋊C₄	—	15	1	no	—
1636	C₄⋊C₄	—	15	1	no	—
1637	C₄⋊C₄	—	15	1	no	—
1638	C₄⋊C₄	—	15	1	no	—
1639	C₄⋊C₄	—	15	1	no	—
1640	C₄⋊C₄	—	15	1	no	—
1641	C₄⋊C₄	—	15	1	no	—
1642	C₄⋊C₄	—	15	1	no	—
1643	C₄⋊C₄	—	15	1	no	—
1644	C₄⋊C₄	—	15	1	no	—
1645	C₄⋊C₄	—	15	1	no	—
1646	C₄⋊C₄	—	15	1	no	—
1647	C₄⋊C₄	—	15	1	no	—
1648	C₄⋊C₄	—	15	1	no	—
1649	C₄⋊C₄	—	15	1	no	—
1650	C₄⋊C₄	—	15	1	no	—
1651	C₄⋊C₄	—	15	1	no	—
1652	C₄⋊C₄	—	15	1	no	—
1653	C₄⋊C₄	—	15	1	no	—
1654	C₄⋊C₄	—	15	1	no	—
1655	C₄⋊C₄	—	15	1	no	—
1656	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1657	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1658	C₂²⋊C₄	—	3	1	no	—
1659	C₂²⋊C₄	—	3	1	no	—
1660	C₂²⋊C₄	—	3	1	no	—
1661	C₂²⋊C₄	—	3	1	no	—
1662	C₂²⋊C₄	—	3	1	no	—
1663	C₂²⋊C₄	—	5	1	no	—
1664	C₂²⋊C₄	—	5	1	no	—
1665	C₂²⋊C₄	—	5	1	no	—
1666	C₂²⋊C₄	—	5	1	no	—
1667	C₂²⋊C₄	—	5	1	no	—
1668	C₂²⋊C₄	—	5	1	no	—
1669	C₂²⋊C₄	—	5	1	no	—
1670	C₂²⋊C₄	—	5	1	no	—
1671	C₂²⋊C₄	—	5	1	no	—
1672	C₂²⋊C₄	—	15	1	no	—
1673	C₂²⋊C₄	—	15	1	no	—
1674	C₂²⋊C₄	—	15	1	no	—
1675	C₂²⋊C₄	—	15	1	no	—
1676	C₂²⋊C₄	—	15	1	no	—
1677	C₂²⋊C₄	—	15	1	no	—
1678	C₂²⋊C₄	—	15	1	no	—
1679	C₂²⋊C₄	—	15	1	no	—
1680	C₂²⋊C₄	—	15	1	no	—
1681	C₂²⋊C₄	—	15	1	no	—
1682	C₂²⋊C₄	—	15	1	no	—
1683	C₂²⋊C₄	—	15	1	no	—
1684	C₂²⋊C₄	—	15	1	no	—
1685	C₂²⋊C₄	—	15	1	no	—
1686	C₂²⋊C₄	—	15	1	no	—
1687	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1688	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1689	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1690	C₄²	—	3	1	no	—
1691	C₄²	—	3	1	no	—
1692	C₄²	—	3	1	no	—
1693	C₄²	—	3	1	no	—
1694	C₄²	—	3	1	no	—
1695	C₄²	—	15	1	no	—
1696	C₄²	—	15	1	no	—
1697	C₄²	—	15	1	no	—
1698	C₄²	—	15	1	no	—
1699	C₄²	—	15	1	no	—
1700	C₄²	—	15	1	no	—
1701	C₄²	—	15	1	no	—
1702	C₄²	—	15	1	no	—
1703	C₄²	—	15	1	no	—
1704	C₄²	—	15	1	no	—
1705	C₄²	—	15	1	no	—
1706	C₄²	—	15	1	no	—
1707	C₄²	—	15	1	no	—
1708	C₄²	—	15	1	no	—
1709	C₄²	—	15	1	no	—
1710	C₃×C₅	C₂×#552	1	1	yes	characteristic, complemented, Hall
1711	C₂²×C₃	—	2	1	no	—
1712	C₂²×C₃	—	2	1	no	—
1713	C₂²×C₃	—	2	1	no	—
1714	C₂²×C₃	—	2	1	no	—
1715	C₂²×C₃	—	2	1	no	—
1716	C₂²×C₃	—	5	2	no	—
1717	C₂²×C₃	—	5	2	no	—
1718	C₂²×C₃	—	5	2	no	—
1719	C₂²×C₃	—	5	2	no	—
1720	C₂²×C₃	—	10	8	no	—
1721	C₂²×C₃	—	10	1	no	—
1722	C₂²×C₃	—	10	1	no	—
1723	C₂²×C₃	—	10	1	no	—
1724	C₂²×C₃	—	10	1	no	—
1725	C₂²×C₃	—	10	1	no	—
1726	C₂²×C₃	—	20	4	no	—
1727	C₂²×C₃	D₅×#41	1	2	yes	—
1728	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1729	C₃×C₄	—	2	1	no	—
1730	C₃×C₄	—	2	1	no	—
1731	C₃×C₄	—	2	1	no	—
1732	C₃×C₄	—	2	1	no	—
1733	C₃×C₄	—	2	1	no	—
1734	C₃×C₄	—	10	1	no	—
1735	C₃×C₄	—	10	1	no	—
1736	C₃×C₄	—	10	1	no	—
1737	C₃×C₄	—	10	1	no	—
1738	C₃×C₄	—	10	1	no	—
1739	Dic₃	—	2	1	no	—
1740	Dic₃	—	2	1	no	—
1741	Dic₃	—	2	1	no	—
1742	Dic₃	—	2	1	no	—
1743	Dic₃	—	2	1	no	—
1744	Dic₃	—	2	1	no	—
1745	Dic₃	—	2	1	no	—
1746	Dic₃	—	5	2	no	—
1747	Dic₃	—	10	1	no	—
1748	Dic₃	—	10	1	no	—
1749	Dic₃	—	10	1	no	—
1750	Dic₃	—	10	1	no	—
1751	Dic₃	—	10	1	no	—
1752	Dic₃	—	10	1	no	—
1753	Dic₃	—	10	1	no	—
1754	Dic₃	D₅×#41	1	2	yes	—
1755	C₂×C₅	—	2	2	no	—
1756	C₂×C₅	—	4	1	no	—
1757	C₂×C₅	C₂²×#237	1	1	yes	characteristic
1758	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1759	C₂×C₅	C₂×#1010	1	1	yes	characteristic
1760	D₅	—	2	2	no	—
1761	D₅	—	4	1	no	—
1762	D₅	#5650	1	4	yes	direct product factor
1763	C₂³	—	5	1	no	—
1764	C₂³	—	5	4	no	—
1765	C₂³	—	5	1	no	—
1766	C₂³	—	5	1	no	—
1767	C₂³	—	10	2	no	—
1768	C₂³	—	10	2	no	—
1769	C₂³	—	10	2	no	—
1770	C₂³	—	10	2	no	—
1771	C₂³	—	10	2	no	—
1772	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1773	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1774	Q₈	—	6	2	no	—
1775	Q₈	—	30	2	no	—
1776	Q₈	—	30	2	no	—
1777	Q₈	—	30	2	no	—
1778	D₄	—	2	2	no	—
1779	D₄	—	10	2	no	—
1780	D₄	—	10	2	no	—
1781	D₄	—	10	2	no	—
1782	C₂×C₄	—	2	2	no	—
1783	C₂×C₄	—	3	1	no	—
1784	C₂×C₄	—	3	1	no	—
1785	C₂×C₄	—	3	1	no	—
1786	C₂×C₄	—	3	1	no	—
1787	C₂×C₄	—	3	1	no	—
1788	C₂×C₄	—	3	1	no	—
1789	C₂×C₄	—	3	1	no	—
1790	C₂×C₄	—	3	1	no	—
1791	C₂×C₄	—	5	1	no	—
1792	C₂×C₄	—	5	1	no	—
1793	C₂×C₄	—	5	1	no	—
1794	C₂×C₄	—	5	1	no	—
1795	C₂×C₄	—	5	1	no	—
1796	C₂×C₄	—	6	2	no	—
1797	C₂×C₄	—	6	2	no	—
1798	C₂×C₄	—	6	2	no	—
1799	C₂×C₄	—	10	2	no	—
1800	C₂×C₄	—	10	2	no	—
1801	C₂×C₄	—	10	2	no	—
1802	C₂×C₄	—	10	2	no	—
1803	C₂×C₄	—	10	2	no	—
1804	C₂×C₄	—	10	2	no	—
1805	C₂×C₄	—	10	2	no	—
1806	C₂×C₄	—	10	2	no	—
1807	C₂×C₄	—	15	4	no	—
1808	C₂×C₄	—	15	1	no	—
1809	C₂×C₄	—	15	1	no	—
1810	C₂×C₄	—	15	1	no	—
1811	C₂×C₄	—	15	1	no	—
1812	C₂×C₄	—	15	1	no	—
1813	C₂×C₄	—	15	1	no	—
1814	C₂×C₄	—	15	1	no	—
1815	C₂×C₄	—	15	1	no	—
1816	C₂×C₄	—	30	2	no	—
1817	C₂×C₄	—	30	2	no	—
1818	C₂×C₄	—	30	2	no	—
1819	C₂×C₄	—	30	2	no	—
1820	C₂×C₄	—	30	2	no	—
1821	C₂×C₄	—	30	2	no	—
1822	C₂×C₄	—	30	2	no	—
1823	C₂×C₄	—	30	2	no	—
1824	C₂×C₄	—	30	2	no	—
1825	C₂×C₄	—	30	2	no	—
1826	C₂×C₄	—	30	2	no	—
1827	C₂×C₄	—	30	2	no	—
1828	C₂×C₄	—	30	2	no	—
1829	C₂×C₄	—	30	2	no	—
1830	C₂×C₄	—	30	2	no	—
1831	C₂×C₄	—	30	2	no	—
1832	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1833	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1834	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1835	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1836	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1837	C₂×C₃	—	2	2	no	—
1838	C₂×C₃	—	4	1	no	—
1839	C₂×C₃	—	5	4	no	—
1840	C₂×C₃	—	10	2	no	—
1841	C₂×C₃	—	20	1	no	—
1842	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1843	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1844	C₂×C₃	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1845	C₅	C₂×#5650	1	1	yes	characteristic, complemented, Sylow
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	1	no	—
1850	C₂²	—	2	1	no	—
1851	C₂²	—	5	2	no	—
1852	C₂²	—	5	2	no	—
1853	C₂²	—	5	2	no	—
1854	C₂²	—	5	2	no	—
1855	C₂²	—	10	8	no	—
1856	C₂²	—	10	1	no	—
1857	C₂²	—	10	1	no	—
1858	C₂²	—	10	1	no	—
1859	C₂²	—	10	1	no	—
1860	C₂²	—	10	1	no	—
1861	C₂²	—	20	4	no	—
1862	C₂²	D₅×#237	1	2	yes	—
1863	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	3	2	no	—
1870	C₄	—	6	1	no	—
1871	C₄	—	6	1	no	—
1872	C₄	—	6	1	no	—
1873	C₄	—	6	1	no	—
1874	C₄	—	6	1	no	—
1875	C₄	—	6	1	no	—
1876	C₄	—	6	1	no	—
1877	C₄	—	10	1	no	—
1878	C₄	—	10	1	no	—
1879	C₄	—	10	1	no	—
1880	C₄	—	10	1	no	—
1881	C₄	—	10	1	no	—
1882	C₄	—	15	2	no	—
1883	C₄	—	30	1	no	—
1884	C₄	—	30	1	no	—
1885	C₄	—	30	1	no	—
1886	C₄	—	30	1	no	—
1887	C₄	—	30	1	no	—
1888	C₄	—	30	1	no	—
1889	C₄	—	30	1	no	—
1890	C₃	D₅×#552	1	1	yes	characteristic, complemented, Sylow
1891	C₂	—	2	2	no	—
1892	C₂	—	4	1	no	—
1893	C₂	—	5	4	no	—
1894	C₂	—	10	2	no	—
1895	C₂	—	20	1	no	—
1896	C₂	C₂×D₅×#237	1	1	yes	characteristic
1897	C₂	D₃×D₅×#41	1	1	yes	characteristic
1898	C₂	D₅×#1010	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
prime radical	C₂×C₃×D₄×D₅	C₂²
hypercenter	#123	D₃×D₅
hypocenter	C₃×C₅	C₂×#552
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×#5650	C₂	semidirect
6. #11754740	C₂	semidirect
7. #11754734	C₂	semidirect
8. #11754446	C₂	semidirect
9. #11754424	C₂	semidirect
10. D₅×#926	C₂	semidirect
11. C₂×D₅×Dic₃⋊C₄	C₂	semidirect
12. #11753504	C₂	semidirect
13. #11753503	C₂	semidirect
14. #11753502	C₂	semidirect
15. #11753501	C₂	semidirect
16. D₅×#890	C₂	semidirect
17. D₅×#889	C₂	semidirect
18. D₅×#889	C₂	semidirect
19. D₅×#887	C₂	semidirect
20. #11753023	C₂	semidirect
21. #11752984	C₂	semidirect
22. #11752920	C₂	semidirect
23. #11752918	C₂	semidirect
24. #11752917	C₂	semidirect
25. #11752915	C₂	semidirect
26. D₅×#879	C₂	semidirect
27. D₅×#879	C₂	semidirect
28. D₅×#878	C₂	semidirect
29. D₅×#878	C₂	semidirect
30. D₅×#877	C₂	semidirect
31. D₅×#877	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
56. C₅×#926	C₂²	semidirect
57. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
58. C₅×#890	C₂²	semidirect
59. C₅×#889	C₂²	semidirect
60. C₅×#889	C₂²	semidirect
61. C₅×#887	C₂²	semidirect
62. C₅×#879	C₂²	semidirect
63. C₅×#879	C₂²	semidirect
64. C₅×#878	C₂²	semidirect
65. C₅×#878	C₂²	semidirect
66. C₅×#877	C₂²	semidirect
67. C₅×#877	C₂²	semidirect
80. #91576	C₂²	semidirect
81. #91576	C₂²	semidirect
82. #91575	C₂²	semidirect
83. #91575	C₂²	semidirect
95. C₂×Dic₃⋊Dic₅	C₂²	semidirect
96. C₂×#6669	C₂²	semidirect
99. #91532	C₂²	semidirect
100. #91532	C₂²	semidirect
101. #91531	C₂²	semidirect
102. #91531	C₂²	semidirect
103. #91530	C₂²	semidirect
104. #91530	C₂²	semidirect
105. #91529	C₂²	semidirect
106. #91529	C₂²	semidirect
107. #91528	C₂²	semidirect
108. #91528	C₂²	semidirect
110. #91431	C₂²	semidirect
111. #91431	C₂²	semidirect
112. #91430	C₂²	semidirect
113. #91430	C₂²	semidirect
115. #91422	C₂²	semidirect
116. #91422	C₂²	semidirect
117. #91421	C₂²	semidirect
118. #91421	C₂²	semidirect
125. #91394	C₂²	semidirect
126. #91394	C₂²	semidirect
127. #91394	C₂²	semidirect
128. #91394	C₂²	semidirect
129. #91393	C₂²	semidirect
130. #91393	C₂²	semidirect
131. #91393	C₂²	semidirect
132. #91393	C₂²	semidirect
143. D₅×Dic₃⋊C₄	C₂²	semidirect
144. D₅×Dic₃⋊C₄	C₂²	semidirect
145. D₅×Dic₃⋊C₄	C₂²	semidirect
146. D₅×Dic₃⋊C₄	C₂²	semidirect
152. #91384	C₂²	semidirect
153. #91382	C₂²	semidirect
154. #91382	C₂²	semidirect
155. #91381	C₂²	semidirect
156. #91379	C₂²	semidirect
157. #91379	C₂²	semidirect
158. #91366	C₂²	semidirect
159. #91366	C₂²	semidirect
160. #91363	C₂²	semidirect
161. #91363	C₂²	semidirect
162. #91362	C₂²	semidirect
163. #91362	C₂²	semidirect
164. #91361	C₂²	semidirect
165. #91361	C₂²	semidirect
166. #91358	C₂²	semidirect
167. #91358	C₂²	semidirect
168. #91357	C₂²	semidirect
169. #91357	C₂²	semidirect
170. #91346	C₂²	semidirect
171. #91346	C₂²	semidirect
172. #91344	C₂²	semidirect
173. #91343	C₂²	semidirect
174. #91343	C₂²	semidirect
175. #91340	C₂²	semidirect
176. #91339	C₂²	semidirect
177. #91339	C₂²	semidirect
178. #91336	C₂²	semidirect
179. #91336	C₂²	semidirect
180. #91335	C₂²	semidirect
181. #91335	C₂²	semidirect
182. #91334	C₂²	semidirect
183. #91334	C₂²	semidirect
184. #91325	C₂²	semidirect
185. #91325	C₂²	semidirect
186. #91324	C₂²	semidirect
187. #91324	C₂²	semidirect
401. #5650	D₅	direct (N × H)
689. #926	C₂×D₅	semidirect
711. C₂×Dic₃⋊C₄	C₂×D₅	semidirect
724. #890	C₂×D₅	semidirect
739. #889	C₂×D₅	semidirect
740. #889	C₂×D₅	semidirect
748. #887	C₂×D₅	semidirect
763. #879	C₂×D₅	semidirect
764. #879	C₂×D₅	semidirect
779. #878	C₂×D₅	semidirect
780. #878	C₂×D₅	semidirect
795. #877	C₂×D₅	semidirect
796. #877	C₂×D₅	semidirect
1430. C₃×D₅	#552	semidirect
1710. C₃×C₅	C₂×#552	semidirect
1762. D₅	#5650	direct (N × H)
1845. C₅	C₂×#5650	semidirect
1890. C₃	D₅×#552	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×#5650	2
C₃×D₅×#123	2
D₅×#935	2
D₄×D₅×Dic₃	2
#11754740	2
#11754734	2
#11754446	2
#11754424	2
D₅×#926	2
C₂×D₅×Dic₃⋊C₄	2
#11753504	2
#11753503	2
#11753502	2
#11753501	2
D₅×#890	2
D₅×#889	2
D₅×#887	2
#11753023	2
#11752984	2
#11752920	2
#11752918	2
#11752917	2
#11752915	2
D₅×#879	2
D₅×#878	2
D₅×#877	2
D₅×#552	3
C₂×#5650	5

Subgroups — D5×#5650 #14483451

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#5650 #14483451