Subgroups — D₃×#65992 #14483261

Order 1920.

2656 conjugacy classes of subgroups.

The subgroup lattice has 2112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756417	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×D₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65992	C₂	1	1	yes	maximal, characteristic, complemented
4	D₃×#4083	C₂	1	1	yes	maximal, characteristic
5	#11754838	C₂	1	1	yes	maximal, characteristic, complemented
6	D₃×D₄×Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
7	#11754736	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×D₃×#685	C₂	1	1	yes	maximal, characteristic, complemented
9	#11754462	C₂	1	1	yes	maximal, characteristic, complemented
10	D₃×#4072	C₂	1	1	yes	maximal, characteristic, complemented
11	#11754401	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753924	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753923	C₂	1	1	yes	maximal, characteristic, complemented
14	D₃×#4044	C₂	1	1	yes	maximal, characteristic, complemented
15	D₃×#4044	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753911	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753896	C₂	1	1	yes	maximal, characteristic, complemented
18	D₃×#4043	C₂	1	1	yes	maximal, characteristic, complemented
19	D₃×#4038	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753293	C₂	1	1	yes	maximal, characteristic, complemented
21	#11753292	C₂	1	1	yes	maximal, characteristic, complemented
22	#11753283	C₂	1	1	yes	maximal, characteristic, complemented
23	#11753279	C₂	1	1	yes	maximal, characteristic, complemented
24	D₃×#4032	C₂	1	1	yes	maximal, characteristic, complemented
25	D₃×#4031	C₂	1	1	yes	maximal, characteristic, complemented
26	D₃×#4029	C₂	1	1	yes	maximal, characteristic, complemented
27	D₃×#4027	C₂	1	1	yes	maximal, characteristic, complemented
28	D₃×D₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
29	#11753103	C₂	1	1	yes	maximal, characteristic, complemented
30	#11753041	C₂	1	1	yes	maximal, characteristic, complemented
31	D₃×#4024	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#65992	—	3	1	no	maximal, Hall
33	C₂³×D₃×D₅	C₂²	1	1	yes	characteristic
34	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
35	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
36	C₂×D₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	C₂×D₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	C₂²×D₃×Dic₅	C₂²	1	1	yes	characteristic
39	C₂²×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
42	C₂×D₃×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
43	C₃×C₅×#123	C₂²	1	1	yes	characteristic, complemented
44	#91826	C₂²	1	1	yes	characteristic
45	D₄×Dic₁₅	C₂²	1	1	yes	characteristic, complemented
46	C₂×#6714	C₂²	1	1	yes	characteristic, complemented
47	#91815	C₂²	1	1	yes	characteristic, complemented
48	#91787	C₂²	1	1	yes	characteristic, complemented
49	#91787	C₂²	1	1	yes	characteristic, complemented
50	#91786	C₂²	1	1	yes	characteristic, complemented
51	#91781	C₂²	1	1	yes	characteristic, complemented
52	#91775	C₂²	1	1	yes	characteristic, complemented
53	#91774	C₂²	1	1	yes	characteristic, complemented
54	#91772	C₂²	1	1	yes	characteristic, complemented
55	#91770	C₂²	1	1	yes	characteristic, complemented
56	C₂²⋊C₄×D₁₅	C₂²	1	1	yes	characteristic, complemented
57	#91767	C₂²	1	1	yes	characteristic, complemented
58	C₅×#935	C₂²	1	1	yes	characteristic, complemented
59	C₅×#929	C₂²	1	1	yes	characteristic, complemented
60	C₅×#894	C₂²	1	1	yes	characteristic, complemented
61	C₅×#894	C₂²	1	1	yes	characteristic, complemented
62	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
63	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
64	C₅×#886	C₂²	1	1	yes	characteristic, complemented
65	C₅×#883	C₂²	1	1	yes	characteristic, complemented
66	C₅×#883	C₂²	1	1	yes	characteristic, complemented
67	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
68	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
69	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₃×#4083	C₂²	1	1	yes	characteristic
71	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₃×#685	C₂²	1	1	yes	characteristic, complemented
73	C₃×#4072	C₂²	1	1	yes	characteristic, complemented
74	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
75	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4043	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4032	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
80	C₃×#4029	C₂²	1	1	yes	characteristic, complemented
81	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
82	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
83	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
84	#91577	C₂²	1	1	yes	characteristic
85	#91577	C₂²	1	1	yes	characteristic
86	#91576	C₂²	1	1	yes	characteristic, complemented
87	#91574	C₂²	1	1	yes	characteristic, complemented
88	#91573	C₂²	1	1	yes	characteristic
89	#91563	C₂²	1	1	yes	characteristic
90	#91562	C₂²	1	1	yes	characteristic, complemented
91	#91561	C₂²	1	1	yes	characteristic, complemented
92	#67⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
93	#67⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
94	#91559	C₂²	1	1	yes	characteristic, complemented
95	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
96	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
97	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
98	#91552	C₂²	1	1	yes	characteristic, complemented
99	Dic₅×#67	C₂²	1	1	yes	characteristic, complemented
100	Dic₅×#67	C₂²	1	1	yes	characteristic, complemented
101	#91548	C₂²	1	1	yes	characteristic, complemented
102	D₅×#217	C₂²	1	1	yes	characteristic, complemented
103	#91546	C₂²	1	1	yes	characteristic, complemented
104	C₂×#6667	C₂²	1	1	yes	characteristic, complemented
105	#91537	C₂²	1	1	yes	characteristic, complemented
106	C₂×#6665	C₂²	1	1	yes	characteristic, complemented
107	#91534	C₂²	1	1	yes	characteristic, complemented
108	#91529	C₂²	1	1	yes	characteristic, complemented
109	#91529	C₂²	1	1	yes	characteristic, complemented
110	#91526	C₂²	1	1	yes	characteristic, complemented
111	#91475	C₂²	1	1	yes	characteristic
112	#91475	C₂²	1	1	yes	characteristic
113	#91473	C₂²	1	1	yes	characteristic, complemented
114	#91473	C₂²	1	1	yes	characteristic, complemented
115	D₃×#685	C₂²	1	1	yes	characteristic
116	D₃×#685	C₂²	1	1	yes	characteristic
117	D₃×#685	C₂²	1	1	yes	characteristic
118	D₃×#685	C₂²	1	1	yes	characteristic
119	D₃×#685	C₂²	1	1	yes	characteristic
120	D₃×#685	C₂²	1	1	yes	characteristic
121	D₃×#685	C₂²	1	1	yes	characteristic
122	D₃×#685	C₂²	1	1	yes	characteristic
123	D₃×#685	C₂²	1	1	yes	characteristic, complemented
124	D₃×#685	C₂²	1	1	yes	characteristic, complemented
125	D₃×#685	C₂²	1	1	yes	characteristic, complemented
126	D₃×#685	C₂²	1	1	yes	characteristic, complemented
127	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
128	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
129	#91464	C₂²	1	1	yes	characteristic, complemented
130	#91462	C₂²	1	1	yes	characteristic, complemented
131	#91457	C₂²	1	1	yes	characteristic, complemented
132	#91457	C₂²	1	1	yes	characteristic, complemented
133	#91447	C₂²	1	1	yes	characteristic, complemented
134	#91442	C₂²	1	1	yes	characteristic, complemented
135	#91440	C₂²	1	1	yes	characteristic, complemented
136	#91438	C₂²	1	1	yes	characteristic, complemented
137	#91436	C₂²	1	1	yes	characteristic, complemented
138	#91435	C₂²	1	1	yes	characteristic, complemented
139	#91432	C₂²	1	1	yes	characteristic, complemented
140	#91429	C₂²	1	1	yes	characteristic, complemented
141	#91429	C₂²	1	1	yes	characteristic, complemented
142	#91427	C₂²	1	1	yes	characteristic, complemented
143	#91427	C₂²	1	1	yes	characteristic, complemented
144	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
145	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
146	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
147	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
148	#91422	C₂²	1	1	yes	characteristic, complemented
149	#91422	C₂²	1	1	yes	characteristic, complemented
150	#91417	C₂²	1	1	yes	characteristic, complemented
151	Dic₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
152	#91414	C₂²	1	1	yes	characteristic, complemented
153	#91410	C₂²	1	1	yes	characteristic, complemented
154	#91406	C₂²	1	1	yes	characteristic, complemented
155	#91405	C₂²	1	1	yes	characteristic, complemented
156	#91402	C₂²	1	1	yes	characteristic, complemented
157	#91402	C₂²	1	1	yes	characteristic, complemented
158	D₃×#683	C₂²	1	1	yes	characteristic, complemented
159	D₃×#683	C₂²	1	1	yes	characteristic, complemented
160	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
161	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
162	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic, complemented
163	#91394	C₂²	1	1	yes	characteristic, complemented
164	#91394	C₂²	1	1	yes	characteristic, complemented
165	#91390	C₂²	1	1	yes	characteristic, complemented
166	#91387	C₂²	1	1	yes	characteristic, complemented
167	#91387	C₂²	1	1	yes	characteristic, complemented
168	#91371	C₂²	1	1	yes	characteristic, complemented
169	#91371	C₂²	1	1	yes	characteristic, complemented
170	#91366	C₂²	1	1	yes	characteristic, complemented
171	#91366	C₂²	1	1	yes	characteristic, complemented
172	#91362	C₂²	1	1	yes	characteristic, complemented
173	#91362	C₂²	1	1	yes	characteristic, complemented
174	#91361	C₂²	1	1	yes	characteristic, complemented
175	#91361	C₂²	1	1	yes	characteristic, complemented
176	#91360	C₂²	1	1	yes	characteristic, complemented
177	#91358	C₂²	1	1	yes	characteristic, complemented
178	#91355	C₂²	1	1	yes	characteristic, complemented
179	#91350	C₂²	1	1	yes	characteristic, complemented
180	#91347	C₂²	1	1	yes	characteristic, complemented
181	#91345	C₂²	1	1	yes	characteristic, complemented
182	#91345	C₂²	1	1	yes	characteristic, complemented
183	#91338	C₂²	1	1	yes	characteristic, complemented
184	#91338	C₂²	1	1	yes	characteristic, complemented
185	#91337	C₂²	1	1	yes	characteristic, complemented
186	#91337	C₂²	1	1	yes	characteristic, complemented
187	#91326	C₂²	1	1	yes	characteristic, complemented
188	D₃×#551	—	5	1	no	maximal, Hall
189	C₂×C₅×#123	—	3	1	no	—
190	C₂×#4083	—	3	1	no	—
191	C₂×D₄×Dic₅	—	3	1	no	—
192	C₂²×#685	—	3	1	no	—
193	C₂×#4072	—	3	1	no	—
194	#65992	—	3	1	no	—
195	#65992	—	3	1	no	—
196	#65992	—	3	1	no	—
197	#65992	—	3	1	no	—
198	#65992	—	3	1	no	—
199	#65992	—	3	1	no	—
200	#65992	—	3	1	no	—
201	#65992	—	3	1	no	—
202	#65992	—	3	1	no	—
203	#65992	—	3	1	no	—
204	#65992	—	3	1	no	—
205	#65992	—	3	1	no	—
206	#65992	—	3	1	no	—
207	#65992	—	3	1	no	—
208	#65992	—	3	1	no	—
209	#65992	D₃	1	1	yes	characteristic, direct product factor
210	C₂×#4044	—	3	1	no	—
211	C₂×#4044	—	3	1	no	—
212	C₂×#4043	—	3	1	no	—
213	C₂×#4038	—	3	1	no	—
214	C₂×#4032	—	3	1	no	—
215	C₂×#4031	—	3	1	no	—
216	C₂×#4029	—	3	1	no	—
217	C₂×#4027	—	3	1	no	—
218	C₂×D₅×C₂²⋊C₄	—	3	1	no	—
219	C₂×#4024	—	3	1	no	—
220	C₂³×D₁₅	C₂³	1	1	yes	characteristic
221	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
222	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
223	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
224	C₂²×D₃×D₅	—	2	4	no	—
225	C₂²×D₃×D₅	—	2	4	no	—
226	C₂²×D₃×D₅	—	4	2	no	—
227	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
228	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
229	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
230	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
233	C₂×#1220	C₂³	1	1	yes	characteristic
234	C₂×#1220	C₂³	1	1	yes	characteristic
235	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic
236	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic, complemented
237	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
239	C₂×Dic₃₀	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₅×#67	C₂³	1	1	yes	characteristic
241	C₂×C₅×#67	C₂³	1	1	yes	characteristic
242	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
243	C₅×D₃×D₄	—	2	4	no	—
244	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
245	C₂×C₄×C₅×D₃	—	2	4	no	—
246	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
247	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
248	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
249	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
250	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
251	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
252	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
255	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
256	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
257	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
259	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
260	D₃×C₂²⋊D₅	—	2	4	no	—
261	D₃×C₂²⋊D₅	—	4	2	no	—
262	C₂×#1204	C₂³	1	1	yes	characteristic, complemented
263	C₂×#1204	C₂³	1	1	yes	characteristic, complemented
264	C₂×#1203	C₂³	1	1	yes	characteristic
265	C₂×#1203	C₂³	1	1	yes	characteristic
266	C₂×#1201	C₂³	1	1	yes	characteristic
267	C₂×#1201	C₂³	1	1	yes	characteristic
268	C₂×#1200	C₂³	1	1	yes	characteristic
269	C₂×#1200	C₂³	1	1	yes	characteristic
270	C₂×D₃×Dic₅	—	4	2	no	—
271	C₂×D₃×Dic₅	—	4	2	no	—
272	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
276	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
280	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
281	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
282	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
283	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
284	C₄×D₃×D₅	—	2	4	no	—
285	C₄×D₃×D₅	—	4	2	no	—
286	D₃×Dic₁₀	—	4	2	no	—
287	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
288	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
289	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
291	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
292	#6719	C₂³	1	1	yes	characteristic
293	#6719	C₂³	1	1	yes	characteristic
294	#6719	C₂³	1	1	yes	characteristic, complemented
295	#6714	C₂³	1	1	yes	characteristic
296	#6714	C₂³	1	1	yes	characteristic
297	#6714	C₂³	1	1	yes	characteristic
298	#6714	C₂³	1	1	yes	characteristic
299	#6714	C₂³	1	1	yes	characteristic
300	#6714	C₂³	1	1	yes	characteristic
301	#6714	C₂³	1	1	yes	characteristic
302	#6714	C₂³	1	1	yes	characteristic
303	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic, complemented
304	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic, complemented
305	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic, complemented
306	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic, complemented
307	#6712	C₂³	1	1	yes	characteristic, complemented
308	#6712	C₂³	1	1	yes	characteristic, complemented
309	C₄×Dic₁₅	C₂³	1	1	yes	characteristic, complemented
310	C₄×Dic₁₅	C₂³	1	1	yes	characteristic, complemented
311	C₄×Dic₁₅	C₂³	1	1	yes	characteristic, complemented
312	C₅×#217	C₂³	1	1	yes	characteristic
313	C₅×#217	C₂³	1	1	yes	characteristic, complemented
314	C₅×#217	C₂³	1	1	yes	characteristic, complemented
315	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
316	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
317	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
318	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
319	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
320	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
321	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
322	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
323	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
324	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
325	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
326	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
327	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
328	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
329	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
330	C₃×#685	C₂³	1	1	yes	characteristic
331	C₃×#685	C₂³	1	1	yes	characteristic
332	C₃×#685	C₂³	1	1	yes	characteristic
333	C₃×#685	C₂³	1	1	yes	characteristic
334	C₃×#685	C₂³	1	1	yes	characteristic
335	C₃×#685	C₂³	1	1	yes	characteristic
336	C₃×#685	C₂³	1	1	yes	characteristic
337	C₃×#685	C₂³	1	1	yes	characteristic
338	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
339	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
340	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
341	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
342	C₃×#683	C₂³	1	1	yes	characteristic, complemented
343	C₃×#683	C₂³	1	1	yes	characteristic, complemented
344	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
345	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
346	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
347	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
348	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
349	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
350	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
351	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
352	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
353	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
354	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
355	#6669	C₂³	1	1	yes	characteristic, complemented
356	#6669	C₂³	1	1	yes	characteristic, complemented
357	#6668	C₂³	1	1	yes	characteristic, complemented
358	#6668	C₂³	1	1	yes	characteristic, complemented
359	#6667	C₂³	1	1	yes	characteristic
360	#6667	C₂³	1	1	yes	characteristic
361	#6667	C₂³	1	1	yes	characteristic
362	#6667	C₂³	1	1	yes	characteristic
363	#6667	C₂³	1	1	yes	characteristic
364	#6667	C₂³	1	1	yes	characteristic
365	#6667	C₂³	1	1	yes	characteristic
366	#6667	C₂³	1	1	yes	characteristic
367	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
368	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
369	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
370	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
371	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
372	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
373	#6665	C₂³	1	1	yes	characteristic
374	#6665	C₂³	1	1	yes	characteristic
375	#6665	C₂³	1	1	yes	characteristic
376	#6665	C₂³	1	1	yes	characteristic
377	#6665	C₂³	1	1	yes	characteristic
378	#6665	C₂³	1	1	yes	characteristic
379	#6665	C₂³	1	1	yes	characteristic
380	#6665	C₂³	1	1	yes	characteristic
381	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
382	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
383	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
384	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
385	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
386	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
387	C₃×#551	—	5	1	no	—
388	#5705	—	5	1	no	—
389	#5705	—	5	1	no	—
390	D₃×#126	—	5	1	no	—
391	D₃×#126	—	5	1	no	—
392	#5679	—	5	1	no	—
393	D₃×#124	—	5	1	no	—
394	#5659	—	5	1	no	—
395	#5658	—	5	1	no	—
396	#5658	—	5	1	no	—
397	D₃×#123	—	5	1	no	—
398	D₃×#123	—	5	1	no	—
399	D₃×#123	D₅	1	1	yes	characteristic, complemented
400	#5637	—	5	1	no	—
401	#5637	—	5	1	no	—
402	D₃×C₂²⋊Q₈	—	5	1	no	—
403	D₃×C₂²⋊Q₈	—	5	1	no	—
404	D₃×#120	—	5	1	no	—
405	#5587	—	5	1	no	—
406	#5556	—	5	1	no	—
407	#5556	—	5	1	no	—
408	C₄×D₃×D₄	—	5	1	no	—
409	C₄×D₃×D₄	—	5	1	no	—
410	#5527	—	5	1	no	—
411	#5527	—	5	1	no	—
412	D₃×#117	—	5	1	no	—
413	D₃×#117	—	5	1	no	—
414	#5495	—	5	1	no	—
415	#5495	—	5	1	no	—
416	C₂×D₃×C₂²⋊C₄	—	5	1	no	—
417	C₂×D₃×C₂²⋊C₄	—	5	1	no	—
418	C₂⁴×D₅	—	3	1	no	—
419	C₂²×C₅×D₄	—	3	1	no	—
420	C₂³×C₄×C₅	—	3	1	no	—
421	C₂²×C₂²⋊D₅	—	3	1	no	—
422	C₂²×C₂²⋊D₅	—	3	1	no	—
423	C₂³×Dic₅	—	3	1	no	—
424	C₂³×Dic₅	—	3	1	no	—
425	C₂²×C₄×D₅	—	3	1	no	—
426	C₂²×C₄×D₅	—	3	1	no	—
427	C₂²×Dic₁₀	—	3	1	no	—
428	C₅×#123	—	3	1	no	—
429	C₅×#123	—	3	1	no	—
430	C₅×#123	—	3	1	no	—
431	C₅×#123	—	3	1	no	—
432	C₅×#123	—	3	1	no	—
433	C₅×#123	—	3	1	no	—
434	C₅×#123	—	3	1	no	—
435	C₅×#123	C₂×D₃	1	1	yes	characteristic, complemented
436	C₂×C₅×C₄⋊C₄	—	3	1	no	—
437	C₂×C₅×C₄⋊C₄	—	3	1	no	—
438	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
439	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
440	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
441	C₂×C₂²⋊Dic₅	—	3	1	no	—
442	C₂×C₂²⋊Dic₅	—	3	1	no	—
443	C₂×C₂²⋊Dic₅	—	3	1	no	—
444	#4083	—	3	1	no	—
445	#4083	—	3	1	no	—
446	#4083	—	3	1	no	—
447	#4083	—	3	1	no	—
448	#4083	—	3	1	no	—
449	#4083	—	3	1	no	—
450	#4083	—	3	1	no	—
451	#4083	C₂×D₃	1	1	yes	characteristic
452	D₄×Dic₅	—	3	1	no	—
453	D₄×Dic₅	—	3	1	no	—
454	D₄×Dic₅	—	3	1	no	—
455	D₄×Dic₅	—	3	1	no	—
456	D₄×Dic₅	—	3	1	no	—
457	D₄×Dic₅	—	3	1	no	—
458	D₄×Dic₅	—	3	1	no	—
459	D₄×Dic₅	C₂×D₃	1	1	yes	characteristic, complemented
460	C₂×#685	—	3	1	no	—
461	C₂×#685	—	3	1	no	—
462	C₂×#685	—	3	1	no	—
463	C₂×#685	—	3	1	no	—
464	C₂×#685	—	3	1	no	—
465	C₂×#685	—	3	1	no	—
466	C₂×#685	—	3	1	no	—
467	C₂×#685	—	3	1	no	—
468	C₂×#685	—	3	1	no	—
469	C₂×#685	—	3	1	no	—
470	C₂×#685	—	3	1	no	—
471	C₂×#685	—	3	1	no	—
472	C₂×#685	—	3	1	no	—
473	C₂×#685	—	3	1	no	—
474	C₂×#685	—	3	1	no	—
475	C₂×#685	C₂×D₃	1	1	yes	characteristic, complemented
476	#4072	—	3	1	no	—
477	#4072	—	3	1	no	—
478	#4072	—	3	1	no	—
479	#4072	—	3	1	no	—
480	#4072	—	3	1	no	—
481	#4072	—	3	1	no	—
482	#4072	—	3	1	no	—
483	#4072	C₂×D₃	1	1	yes	characteristic, complemented
484	C₂×C₄⋊Dic₅	—	3	1	no	—
485	C₂×C₄⋊Dic₅	—	3	1	no	—
486	C₂×C₄⋊Dic₅	—	3	1	no	—
487	C₂×C₄⋊Dic₅	—	3	1	no	—
488	C₂×#683	—	3	1	no	—
489	C₂×#683	—	3	1	no	—
490	C₂×C₄×Dic₅	—	3	1	no	—
491	C₂×C₄×Dic₅	—	3	1	no	—
492	C₂×C₄×Dic₅	—	3	1	no	—
493	#4044	—	3	1	no	—
494	#4044	—	3	1	no	—
495	#4044	—	3	1	no	—
496	#4044	—	3	1	no	—
497	#4044	—	3	1	no	—
498	#4044	—	3	1	no	—
499	#4044	—	3	1	no	—
500	#4044	—	3	1	no	—
501	#4044	—	3	1	no	—
502	#4044	—	3	1	no	—
503	#4044	—	3	1	no	—
504	#4044	—	3	1	no	—
505	#4044	—	3	1	no	—
506	#4044	—	3	1	no	—
507	#4044	C₂×D₃	1	1	yes	characteristic, complemented
508	#4044	C₂×D₃	1	1	yes	characteristic, complemented
509	#4043	—	3	1	no	—
510	#4043	—	3	1	no	—
511	#4043	—	3	1	no	—
512	#4043	—	3	1	no	—
513	#4043	—	3	1	no	—
514	#4043	—	3	1	no	—
515	#4043	—	3	1	no	—
516	#4043	C₂×D₃	1	1	yes	characteristic, complemented
517	#4038	—	3	1	no	—
518	#4038	—	3	1	no	—
519	#4038	—	3	1	no	—
520	#4038	—	3	1	no	—
521	#4038	—	3	1	no	—
522	#4038	—	3	1	no	—
523	#4038	—	3	1	no	—
524	#4038	C₂×D₃	1	1	yes	characteristic, complemented
525	#4032	—	3	1	no	—
526	#4032	—	3	1	no	—
527	#4032	—	3	1	no	—
528	#4032	—	3	1	no	—
529	#4032	—	3	1	no	—
530	#4032	—	3	1	no	—
531	#4032	—	3	1	no	—
532	#4032	C₂×D₃	1	1	yes	characteristic, complemented
533	#4031	—	3	1	no	—
534	#4031	—	3	1	no	—
535	#4031	—	3	1	no	—
536	#4031	—	3	1	no	—
537	#4031	—	3	1	no	—
538	#4031	—	3	1	no	—
539	#4031	—	3	1	no	—
540	#4031	C₂×D₃	1	1	yes	characteristic, complemented
541	#4029	—	3	1	no	—
542	#4029	—	3	1	no	—
543	#4029	—	3	1	no	—
544	#4029	—	3	1	no	—
545	#4029	—	3	1	no	—
546	#4029	—	3	1	no	—
547	#4029	—	3	1	no	—
548	#4029	C₂×D₃	1	1	yes	characteristic, complemented
549	#4027	—	3	1	no	—
550	#4027	—	3	1	no	—
551	#4027	—	3	1	no	—
552	#4027	—	3	1	no	—
553	#4027	—	3	1	no	—
554	#4027	—	3	1	no	—
555	#4027	—	3	1	no	—
556	#4027	C₂×D₃	1	1	yes	characteristic, complemented
557	D₅×C₂²⋊C₄	—	3	1	no	—
558	D₅×C₂²⋊C₄	—	3	1	no	—
559	D₅×C₂²⋊C₄	—	3	1	no	—
560	D₅×C₂²⋊C₄	—	3	1	no	—
561	D₅×C₂²⋊C₄	—	3	1	no	—
562	D₅×C₂²⋊C₄	—	3	1	no	—
563	D₅×C₂²⋊C₄	—	3	1	no	—
564	D₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
565	#4024	—	3	1	no	—
566	#4024	—	3	1	no	—
567	#4024	—	3	1	no	—
568	#4024	—	3	1	no	—
569	#4024	—	3	1	no	—
570	#4024	—	3	1	no	—
571	#4024	—	3	1	no	—
572	#4024	C₂×D₃	1	1	yes	characteristic, complemented
573	C₂×#551	—	15	1	no	Sylow
574	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
575	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
576	C₂²×D₁₅	—	2	2	no	—
577	C₂²×D₁₅	—	2	2	no	—
578	C₂²×D₁₅	—	4	1	no	—
579	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
580	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
581	C₂²×C₅×D₃	—	2	2	no	—
582	C₂²×C₅×D₃	—	2	2	no	—
583	C₂²×C₅×D₃	—	2	2	no	—
584	C₂²×C₅×D₃	—	2	2	no	—
585	C₂²×C₅×D₃	—	2	2	no	—
586	C₂²×C₅×D₃	#41	1	4	yes	—
587	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
588	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
589	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
590	C₂²×C₃×D₅	—	2	2	no	—
591	C₂²×C₃×D₅	—	2	2	no	—
592	C₂²×C₃×D₅	—	4	1	no	—
593	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
594	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
595	C₂×D₃×D₅	—	2	2	no	—
596	C₂×D₃×D₅	—	2	2	no	—
597	C₂×D₃×D₅	—	2	2	no	—
598	C₂×D₃×D₅	—	2	2	no	—
599	C₂×D₃×D₅	—	2	2	no	—
600	C₂×D₃×D₅	—	2	2	no	—
601	C₂×D₃×D₅	—	2	2	no	—
602	C₂×D₃×D₅	—	2	2	no	—
603	C₂×D₃×D₅	—	2	2	no	—
604	C₂×D₃×D₅	—	4	16	no	—
605	C₂×D₃×D₅	—	4	1	no	—
606	C₂×D₃×D₅	—	4	1	no	—
607	C₂×D₃×D₅	#41	1	4	yes	—
608	C₃×C₅×D₄	—	2	2	no	—
609	C₂×C₃×C₄×C₅	—	2	2	no	—
610	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
611	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
612	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
613	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
614	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
615	#1220	—	2	2	no	—
616	#1220	—	4	1	no	—
617	C₂×Dic₁₅	—	4	1	no	—
618	C₂×Dic₁₅	—	4	1	no	—
619	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
620	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
621	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
623	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
624	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
625	C₄×D₁₅	—	2	2	no	—
626	C₄×D₁₅	—	4	1	no	—
627	Dic₃₀	—	4	1	no	—
628	C₅×#67	—	2	2	no	—
629	C₅×#67	—	2	2	no	—
630	C₂×C₅×Dic₃	—	2	2	no	—
631	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
632	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
636	C₅×D₁₂	—	2	2	no	—
637	C₄×C₅×D₃	—	2	2	no	—
638	C₄×C₅×D₃	—	2	2	no	—
639	C₄×C₅×D₃	—	2	2	no	—
640	C₄×C₅×D₃	—	2	2	no	—
641	C₄×C₅×D₃	—	2	2	no	—
642	C₄×C₅×D₃	—	2	2	no	—
643	C₄×C₅×D₃	—	2	2	no	—
644	C₃×C₂²⋊D₅	—	2	2	no	—
645	C₃×C₂²⋊D₅	—	4	1	no	—
646	C₂×C₃×Dic₅	—	4	1	no	—
647	C₂×C₃×Dic₅	—	4	1	no	—
648	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
649	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
650	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
651	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
652	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
653	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
654	C₃×C₄×D₅	—	2	2	no	—
655	C₃×C₄×D₅	—	4	1	no	—
656	C₃×Dic₁₀	—	4	1	no	—
657	#1204	—	4	1	no	—
658	#1204	—	4	1	no	—
659	#1203	—	2	2	no	—
660	#1203	—	4	1	no	—
661	#1201	—	2	2	no	—
662	#1201	—	4	1	no	—
663	#1200	—	2	2	no	—
664	#1200	—	4	1	no	—
665	D₃×Dic₅	—	2	2	no	—
666	D₃×Dic₅	—	2	2	no	—
667	D₃×Dic₅	—	2	2	no	—
668	D₃×Dic₅	—	2	2	no	—
669	D₃×Dic₅	—	2	2	no	—
670	D₃×Dic₅	—	2	2	no	—
671	D₃×Dic₅	—	4	1	no	—
672	D₃×Dic₅	—	4	1	no	—
673	D₃×Dic₅	—	4	1	no	—
674	D₃×Dic₅	—	4	1	no	—
675	D₅×Dic₃	—	2	2	no	—
676	D₅×Dic₃	—	4	1	no	—
677	C₂⁴×D₃	—	5	1	no	—
678	C₂×D₃×Q₈	—	5	1	no	—
679	C₂×D₃×D₄	—	5	1	no	—
680	C₂×D₃×D₄	—	5	1	no	—
681	C₂×D₃×D₄	C₂×D₅	1	1	yes	characteristic
682	C₂²×C₄×D₃	—	5	1	no	—
683	C₂²×C₄×D₃	—	5	1	no	—
684	C₂²×C₄×D₃	—	5	1	no	—
685	C₂²×C₄×D₃	—	5	1	no	—
686	C₂²×C₄×D₃	C₂×D₅	1	1	yes	characteristic
687	C₃×#126	—	5	1	no	—
688	C₃×#126	—	5	1	no	—
689	C₃×#124	—	5	1	no	—
690	C₃×#123	—	5	1	no	—
691	C₃×#123	—	5	1	no	—
692	C₃×#123	C₂×D₅	1	1	yes	characteristic, complemented
693	C₃×C₂²⋊Q₈	—	5	1	no	—
694	C₃×C₂²⋊Q₈	—	5	1	no	—
695	C₃×#120	—	5	1	no	—
696	C₃×C₄×D₄	—	5	1	no	—
697	C₃×C₄×D₄	—	5	1	no	—
698	C₃×#117	—	5	1	no	—
699	C₃×#117	—	5	1	no	—
700	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
701	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
702	#953	—	5	1	no	—
703	C₂×#217	—	5	1	no	—
704	C₂×#217	—	5	1	no	—
705	#947	—	5	1	no	—
706	#946	—	5	1	no	—
707	#946	—	5	1	no	—
708	#937	—	5	1	no	—
709	#937	—	5	1	no	—
710	#937	—	5	1	no	—
711	#936	—	5	1	no	—
712	#935	—	5	1	no	—
713	#935	—	5	1	no	—
714	#935	C₂×D₅	1	1	yes	characteristic, complemented
715	D₄×Dic₃	—	5	1	no	—
716	D₄×Dic₃	—	5	1	no	—
717	#929	—	5	1	no	—
718	#929	—	5	1	no	—
719	#929	C₂×D₅	1	1	yes	characteristic, complemented
720	C₄×#67	—	5	1	no	—
721	C₄×#67	—	5	1	no	—
722	C₄×#67	—	5	1	no	—
723	C₄×#67	—	5	1	no	—
724	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
725	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
726	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
727	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
728	#926	—	5	1	no	—
729	#926	—	5	1	no	—
730	#924	—	5	1	no	—
731	#924	—	5	1	no	—
732	#898	—	5	1	no	—
733	#898	—	5	1	no	—
734	#898	—	5	1	no	—
735	#898	—	5	1	no	—
736	#898	—	5	1	no	—
737	#898	—	5	1	no	—
738	#897	—	5	1	no	—
739	#897	—	5	1	no	—
740	#896	—	5	1	no	—
741	#896	—	5	1	no	—
742	#896	—	5	1	no	—
743	#896	—	5	1	no	—
744	#894	—	5	1	no	—
745	#894	—	5	1	no	—
746	#894	—	5	1	no	—
747	#894	—	5	1	no	—
748	#894	C₂×D₅	1	1	yes	characteristic, complemented
749	#894	C₂×D₅	1	1	yes	characteristic, complemented
750	#893	—	5	1	no	—
751	#893	—	5	1	no	—
752	#892	—	5	1	no	—
753	#892	—	5	1	no	—
754	#892	—	5	1	no	—
755	#892	—	5	1	no	—
756	D₃×C₄⋊C₄	—	5	1	no	—
757	D₃×C₄⋊C₄	—	5	1	no	—
758	D₃×C₄⋊C₄	—	5	1	no	—
759	D₃×C₄⋊C₄	—	5	1	no	—
760	D₃×C₄⋊C₄	—	5	1	no	—
761	D₃×C₄⋊C₄	—	5	1	no	—
762	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
763	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
764	#886	—	5	1	no	—
765	#886	—	5	1	no	—
766	#886	C₂×D₅	1	1	yes	characteristic, complemented
767	#885	—	5	1	no	—
768	#885	—	5	1	no	—
769	#885	—	5	1	no	—
770	#885	—	5	1	no	—
771	#883	—	5	1	no	—
772	#883	—	5	1	no	—
773	#883	—	5	1	no	—
774	#883	—	5	1	no	—
775	#883	C₂×D₅	1	1	yes	characteristic, complemented
776	#883	C₂×D₅	1	1	yes	characteristic, complemented
777	#882	—	5	1	no	—
778	#882	—	5	1	no	—
779	#882	—	5	1	no	—
780	#67⋊C₄	—	5	1	no	—
781	#67⋊C₄	—	5	1	no	—
782	#67⋊C₄	—	5	1	no	—
783	#67⋊C₄	—	5	1	no	—
784	D₃×C₂²⋊C₄	—	5	1	no	—
785	D₃×C₂²⋊C₄	—	5	1	no	—
786	D₃×C₂²⋊C₄	—	5	1	no	—
787	D₃×C₂²⋊C₄	—	5	1	no	—
788	D₃×C₂²⋊C₄	—	5	1	no	—
789	D₃×C₂²⋊C₄	—	5	1	no	—
790	D₃×C₂²⋊C₄	—	5	1	no	—
791	D₃×C₂²⋊C₄	—	5	1	no	—
792	D₃×C₂²⋊C₄	—	5	1	no	—
793	D₃×C₂²⋊C₄	—	5	1	no	—
794	D₃×C₂²⋊C₄	—	5	1	no	—
795	D₃×C₂²⋊C₄	—	5	1	no	—
796	D₃×C₂²⋊C₄	—	5	1	no	—
797	D₃×C₂²⋊C₄	—	5	1	no	—
798	D₃×C₂²⋊C₄	—	5	1	no	—
799	D₃×C₂²⋊C₄	—	5	1	no	—
800	D₃×C₂²⋊C₄	—	5	1	no	—
801	D₃×C₂²⋊C₄	—	5	1	no	—
802	D₃×C₂²⋊C₄	—	5	1	no	—
803	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
804	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
805	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
806	#879	—	5	1	no	—
807	#879	—	5	1	no	—
808	#879	—	5	1	no	—
809	#879	—	5	1	no	—
810	#879	—	5	1	no	—
811	#879	—	5	1	no	—
812	#878	—	5	1	no	—
813	#878	—	5	1	no	—
814	#878	—	5	1	no	—
815	#878	—	5	1	no	—
816	#877	—	5	1	no	—
817	#877	—	5	1	no	—
818	#877	—	5	1	no	—
819	#877	—	5	1	no	—
820	#876	—	5	1	no	—
821	#876	—	5	1	no	—
822	#875	—	5	1	no	—
823	C₄×D₁₂	—	5	1	no	—
824	C₄×D₁₂	—	5	1	no	—
825	#872	—	5	1	no	—
826	#872	—	5	1	no	—
827	#872	—	5	1	no	—
828	#872	—	5	1	no	—
829	C₄²×D₃	—	5	1	no	—
830	C₄²×D₃	—	5	1	no	—
831	C₄²×D₃	—	5	1	no	—
832	C₂⁴×C₅	—	3	1	no	—
833	C₂⁴×C₅	—	3	1	no	—
834	C₂³×D₅	—	3	1	no	—
835	C₂³×D₅	—	3	1	no	—
836	C₂³×D₅	—	3	1	no	—
837	C₂³×D₅	—	3	1	no	—
838	C₂³×D₅	—	3	1	no	—
839	C₂³×D₅	—	6	4	no	—
840	C₂³×D₅	—	6	4	no	—
841	C₂³×D₅	—	12	2	no	—
842	C₂³×D₅	C₂²×D₃	1	1	yes	characteristic
843	C₂×C₅×D₄	—	3	1	no	—
844	C₂×C₅×D₄	—	3	1	no	—
845	C₂×C₅×D₄	—	3	1	no	—
846	C₂×C₅×D₄	—	6	4	no	—
847	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
848	C₂²×C₄×C₅	—	3	1	no	—
849	C₂²×C₄×C₅	—	3	1	no	—
850	C₂²×C₄×C₅	—	3	1	no	—
851	C₂²×C₄×C₅	—	3	1	no	—
852	C₂²×C₄×C₅	—	3	1	no	—
853	C₂²×C₄×C₅	—	3	1	no	—
854	C₂²×C₄×C₅	—	3	1	no	—
855	C₂²×C₄×C₅	—	3	1	no	—
856	C₂²×C₄×C₅	—	6	4	no	—
857	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
858	C₂×C₂²⋊D₅	—	3	1	no	—
859	C₂×C₂²⋊D₅	—	3	1	no	—
860	C₂×C₂²⋊D₅	—	3	1	no	—
861	C₂×C₂²⋊D₅	—	3	1	no	—
862	C₂×C₂²⋊D₅	—	3	1	no	—
863	C₂×C₂²⋊D₅	—	3	1	no	—
864	C₂×C₂²⋊D₅	—	6	4	no	—
865	C₂×C₂²⋊D₅	—	12	2	no	—
866	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
867	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
868	C₂²×Dic₅	—	3	1	no	—
869	C₂²×Dic₅	—	3	1	no	—
870	C₂²×Dic₅	—	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	—	3	1	no	—
877	C₂²×Dic₅	—	3	1	no	—
878	C₂²×Dic₅	—	3	1	no	—
879	C₂²×Dic₅	—	3	1	no	—
880	C₂²×Dic₅	—	12	2	no	—
881	C₂²×Dic₅	—	12	2	no	—
882	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
883	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
884	C₂×C₄×D₅	—	3	1	no	—
885	C₂×C₄×D₅	—	3	1	no	—
886	C₂×C₄×D₅	—	3	1	no	—
887	C₂×C₄×D₅	—	3	1	no	—
888	C₂×C₄×D₅	—	3	1	no	—
889	C₂×C₄×D₅	—	3	1	no	—
890	C₂×C₄×D₅	—	6	4	no	—
891	C₂×C₄×D₅	—	12	2	no	—
892	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
893	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
894	C₂×Dic₁₀	—	3	1	no	—
895	C₂×Dic₁₀	—	3	1	no	—
896	C₂×Dic₁₀	—	3	1	no	—
897	C₂×Dic₁₀	—	12	2	no	—
898	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic, complemented
899	C₅×C₄⋊C₄	—	3	1	no	—
900	C₅×C₄⋊C₄	—	3	1	no	—
901	C₅×C₄⋊C₄	—	3	1	no	—
902	C₅×C₄⋊C₄	—	3	1	no	—
903	C₅×C₄⋊C₄	—	3	1	no	—
904	C₅×C₄⋊C₄	—	3	1	no	—
905	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
906	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
907	C₅×C₂²⋊C₄	—	3	1	no	—
908	C₅×C₂²⋊C₄	—	3	1	no	—
909	C₅×C₂²⋊C₄	—	3	1	no	—
910	C₅×C₂²⋊C₄	—	3	1	no	—
911	C₅×C₂²⋊C₄	—	3	1	no	—
912	C₅×C₂²⋊C₄	—	3	1	no	—
913	C₅×C₂²⋊C₄	—	3	1	no	—
914	C₅×C₂²⋊C₄	—	3	1	no	—
915	C₅×C₂²⋊C₄	—	3	1	no	—
916	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
917	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
918	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
919	C₂²⋊Dic₅	—	3	1	no	—
920	C₂²⋊Dic₅	—	3	1	no	—
921	C₂²⋊Dic₅	—	3	1	no	—
922	C₂²⋊Dic₅	—	3	1	no	—
923	C₂²⋊Dic₅	—	3	1	no	—
924	C₂²⋊Dic₅	—	3	1	no	—
925	C₂²⋊Dic₅	—	3	1	no	—
926	C₂²⋊Dic₅	—	3	1	no	—
927	C₂²⋊Dic₅	—	3	1	no	—
928	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
929	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
930	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
931	#685	—	3	1	no	—
932	#685	—	3	1	no	—
933	#685	—	3	1	no	—
934	#685	—	3	1	no	—
935	#685	—	3	1	no	—
936	#685	—	3	1	no	—
937	#685	—	3	1	no	—
938	#685	—	3	1	no	—
939	#685	—	3	1	no	—
940	#685	—	3	1	no	—
941	#685	—	3	1	no	—
942	#685	—	3	1	no	—
943	#685	—	3	1	no	—
944	#685	—	3	1	no	—
945	#685	—	3	1	no	—
946	#685	—	3	1	no	—
947	#685	—	3	1	no	—
948	#685	—	3	1	no	—
949	#685	—	3	1	no	—
950	#685	—	3	1	no	—
951	#685	—	3	1	no	—
952	#685	—	3	1	no	—
953	#685	—	3	1	no	—
954	#685	—	3	1	no	—
955	#685	C₂²×D₃	1	1	yes	characteristic
956	#685	C₂²×D₃	1	1	yes	characteristic
957	#685	C₂²×D₃	1	1	yes	characteristic
958	#685	C₂²×D₃	1	1	yes	characteristic
959	#685	C₂²×D₃	1	1	yes	characteristic
960	#685	C₂²×D₃	1	1	yes	characteristic
961	#685	C₂²×D₃	1	1	yes	characteristic
962	#685	C₂²×D₃	1	1	yes	characteristic
963	C₄⋊Dic₅	—	3	1	no	—
964	C₄⋊Dic₅	—	3	1	no	—
965	C₄⋊Dic₅	—	3	1	no	—
966	C₄⋊Dic₅	—	3	1	no	—
967	C₄⋊Dic₅	—	3	1	no	—
968	C₄⋊Dic₅	—	3	1	no	—
969	C₄⋊Dic₅	—	3	1	no	—
970	C₄⋊Dic₅	—	3	1	no	—
971	C₄⋊Dic₅	—	3	1	no	—
972	C₄⋊Dic₅	—	3	1	no	—
973	C₄⋊Dic₅	—	3	1	no	—
974	C₄⋊Dic₅	—	3	1	no	—
975	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
976	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
977	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
978	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
979	#683	—	3	1	no	—
980	#683	—	3	1	no	—
981	#683	—	3	1	no	—
982	#683	—	3	1	no	—
983	#683	—	3	1	no	—
984	#683	—	3	1	no	—
985	#683	C₂²×D₃	1	1	yes	characteristic, complemented
986	#683	C₂²×D₃	1	1	yes	characteristic, complemented
987	C₄×Dic₅	—	3	1	no	—
988	C₄×Dic₅	—	3	1	no	—
989	C₄×Dic₅	—	3	1	no	—
990	C₄×Dic₅	—	3	1	no	—
991	C₄×Dic₅	—	3	1	no	—
992	C₄×Dic₅	—	3	1	no	—
993	C₄×Dic₅	—	3	1	no	—
994	C₄×Dic₅	—	3	1	no	—
995	C₄×Dic₅	—	3	1	no	—
996	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
997	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
998	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
999	#551	—	5	1	no	—
1000	#551	—	15	1	no	—
1001	#551	—	15	1	no	—
1002	#551	—	15	1	no	—
1003	#551	—	15	1	no	—
1004	#551	—	15	1	no	—
1005	#551	—	15	1	no	—
1006	#551	—	15	1	no	—
1007	#551	—	15	1	no	—
1008	#551	—	15	1	no	—
1009	#551	—	15	1	no	—
1010	#551	—	15	1	no	—
1011	#551	—	15	1	no	—
1012	#551	—	15	1	no	—
1013	#551	—	15	1	no	—
1014	#551	—	15	1	no	—
1015	C₂×#126	—	15	1	no	—
1016	C₂×#126	—	15	1	no	—
1017	C₂×#124	—	15	1	no	—
1018	C₂×#123	—	3	1	no	—
1019	C₂×#123	—	15	1	no	—
1020	C₂×#123	—	15	1	no	—
1021	C₂×C₂²⋊Q₈	—	15	1	no	—
1022	C₂×C₂²⋊Q₈	—	15	1	no	—
1023	C₂×#120	—	15	1	no	—
1024	C₂×C₄×D₄	—	15	1	no	—
1025	C₂×C₄×D₄	—	15	1	no	—
1026	C₂×#117	—	15	1	no	—
1027	C₂×#117	—	15	1	no	—
1028	C₂²×C₂²⋊C₄	—	15	1	no	—
1029	C₂²×C₂²⋊C₄	—	15	1	no	—
1030	C₂²×C₃×C₅	—	2	1	no	—
1031	C₂²×C₃×C₅	—	2	1	no	—
1032	C₂²×C₃×C₅	—	2	1	no	—
1033	C₂²×C₃×C₅	—	2	1	no	—
1034	C₂²×C₃×C₅	—	2	1	no	—
1035	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
1036	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1037	C₂×D₁₅	—	2	1	no	—
1038	C₂×D₁₅	—	2	1	no	—
1039	C₂×D₁₅	—	2	1	no	—
1040	C₂×D₁₅	—	2	1	no	—
1041	C₂×D₁₅	—	2	1	no	—
1042	C₂×D₁₅	—	4	4	no	—
1043	C₂×D₁₅	C₂×#41	1	2	yes	—
1044	C₂×C₅×D₃	—	2	1	no	—
1045	C₂×C₅×D₃	—	2	1	no	—
1046	C₂×C₅×D₃	—	2	8	no	—
1047	C₂×C₅×D₃	—	2	1	no	—
1048	C₂×C₅×D₃	—	2	1	no	—
1049	C₂×C₅×D₃	—	2	1	no	—
1050	C₂×C₅×D₃	—	4	4	no	—
1051	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1052	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1053	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1054	C₂×C₅×D₃	H(5,𝔽₂)	1	2	yes	—
1055	C₂×C₃×D₅	—	2	1	no	—
1056	C₂×C₃×D₅	—	2	1	no	—
1057	C₂×C₃×D₅	—	2	1	no	—
1058	C₂×C₃×D₅	—	2	1	no	—
1059	C₂×C₃×D₅	—	2	1	no	—
1060	C₂×C₃×D₅	—	4	4	no	—
1061	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1062	D₃×D₅	—	2	8	no	—
1063	D₃×D₅	—	4	4	no	—
1064	D₃×D₅	—	4	4	no	—
1065	D₃×D₅	—	4	4	no	—
1066	C₃×C₄×C₅	—	2	1	no	—
1067	C₃×C₄×C₅	—	2	1	no	—
1068	C₃×C₄×C₅	—	2	1	no	—
1069	C₃×C₄×C₅	—	2	1	no	—
1070	C₃×C₄×C₅	—	2	1	no	—
1071	Dic₁₅	—	2	1	no	—
1072	Dic₁₅	—	2	1	no	—
1073	Dic₁₅	—	2	1	no	—
1074	Dic₁₅	—	2	1	no	—
1075	Dic₁₅	—	2	1	no	—
1076	Dic₁₅	—	2	1	no	—
1077	C₃×Dic₅	—	2	1	no	—
1078	C₃×Dic₅	—	2	1	no	—
1079	C₃×Dic₅	—	2	1	no	—
1080	C₃×Dic₅	—	2	1	no	—
1081	C₃×Dic₅	—	2	1	no	—
1082	C₃×Dic₅	—	2	1	no	—
1083	C₅×Dic₃	—	2	1	no	—
1084	C₅×Dic₃	—	2	1	no	—
1085	C₅×Dic₃	—	2	1	no	—
1086	C₅×Dic₃	—	2	1	no	—
1087	C₅×Dic₃	—	2	1	no	—
1088	C₂⁴×C₃	—	5	1	no	—
1089	C₂³×D₃	—	5	1	no	—
1090	C₂³×D₃	—	5	1	no	—
1091	C₂³×D₃	—	5	1	no	—
1092	C₂³×D₃	—	5	1	no	—
1093	C₂³×D₃	—	5	1	no	—
1094	C₂³×D₃	—	10	4	no	—
1095	C₂³×D₃	—	10	4	no	—
1096	C₂³×D₃	—	20	2	no	—
1097	C₂³×D₃	C₂²×D₅	1	1	yes	characteristic
1098	C₂³×D₃	C₂²×D₅	1	1	yes	characteristic
1099	C₂×C₃×Q₈	—	5	1	no	—
1100	C₂×C₃×D₄	—	5	1	no	—
1101	C₂×C₃×D₄	—	5	1	no	—
1102	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1103	C₂²×C₃×C₄	—	5	1	no	—
1104	C₂²×C₃×C₄	—	5	1	no	—
1105	C₂²×C₃×C₄	—	5	1	no	—
1106	C₂²×C₃×C₄	—	5	1	no	—
1107	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1108	C₂×#67	—	5	1	no	—
1109	C₂×#67	—	5	1	no	—
1110	C₂×#67	—	5	1	no	—
1111	C₂×#67	—	5	1	no	—
1112	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1113	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1114	C₂²×Dic₃	—	5	1	no	—
1115	C₂²×Dic₃	—	5	1	no	—
1116	C₂²×Dic₃	—	5	1	no	—
1117	C₂²×Dic₃	—	5	1	no	—
1118	C₂²×Dic₃	C₂²×D₅	1	1	yes	characteristic
1119	D₃×Q₈	—	20	2	no	—
1120	D₃×D₄	—	2	4	no	—
1121	D₃×D₄	—	10	4	no	—
1122	D₃×D₄	—	20	2	no	—
1123	C₂×D₁₂	—	5	1	no	—
1124	C₂×D₁₂	—	5	1	no	—
1125	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1126	C₂×C₄×D₃	—	2	4	no	—
1127	C₂×C₄×D₃	—	5	1	no	—
1128	C₂×C₄×D₃	—	5	1	no	—
1129	C₂×C₄×D₃	—	5	1	no	—
1130	C₂×C₄×D₃	—	5	1	no	—
1131	C₂×C₄×D₃	—	5	1	no	—
1132	C₂×C₄×D₃	—	5	1	no	—
1133	C₂×C₄×D₃	—	5	1	no	—
1134	C₂×C₄×D₃	—	5	1	no	—
1135	C₂×C₄×D₃	—	5	1	no	—
1136	C₂×C₄×D₃	—	5	1	no	—
1137	C₂×C₄×D₃	—	5	1	no	—
1138	C₂×C₄×D₃	—	5	1	no	—
1139	C₂×C₄×D₃	—	5	1	no	—
1140	C₂×C₄×D₃	—	5	1	no	—
1141	C₂×C₄×D₃	—	10	4	no	—
1142	C₂×C₄×D₃	—	20	2	no	—
1143	C₂×C₄×D₃	—	20	2	no	—
1144	C₂×C₄×D₃	—	20	2	no	—
1145	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1146	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1147	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1148	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1149	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1150	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1151	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1152	C₂×Dic₆	—	5	1	no	—
1153	C₂×Dic₆	—	5	1	no	—
1154	C₂×Dic₆	—	5	1	no	—
1155	C₃×C₄⋊C₄	—	5	1	no	—
1156	C₃×C₄⋊C₄	—	5	1	no	—
1157	C₃×C₄⋊C₄	—	5	1	no	—
1158	C₃×C₄⋊C₄	—	5	1	no	—
1159	C₃×C₄⋊C₄	—	5	1	no	—
1160	C₃×C₄⋊C₄	—	5	1	no	—
1161	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1162	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1163	C₃×C₂²⋊C₄	—	5	1	no	—
1164	C₃×C₂²⋊C₄	—	5	1	no	—
1165	C₃×C₂²⋊C₄	—	5	1	no	—
1166	C₃×C₂²⋊C₄	—	5	1	no	—
1167	C₃×C₂²⋊C₄	—	5	1	no	—
1168	C₃×C₂²⋊C₄	—	5	1	no	—
1169	C₃×C₂²⋊C₄	—	5	1	no	—
1170	C₃×C₂²⋊C₄	—	5	1	no	—
1171	C₃×C₂²⋊C₄	—	5	1	no	—
1172	C₃×C₂²⋊C₄	—	5	1	no	—
1173	C₃×C₂²⋊C₄	—	5	1	no	—
1174	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1175	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1176	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1177	C₃×C₄²	—	5	1	no	—
1178	C₃×C₄²	—	5	1	no	—
1179	C₃×C₄²	—	5	1	no	—
1180	#217	—	5	1	no	—
1181	#217	—	5	1	no	—
1182	#217	—	5	1	no	—
1183	#217	—	5	1	no	—
1184	#217	—	5	1	no	—
1185	#217	—	5	1	no	—
1186	#217	—	5	1	no	—
1187	#217	—	5	1	no	—
1188	#217	—	5	1	no	—
1189	#217	—	5	1	no	—
1190	#217	—	5	1	no	—
1191	#217	C₂²×D₅	1	1	yes	characteristic
1192	#217	C₂²×D₅	1	1	yes	characteristic, complemented
1193	#217	C₂²×D₅	1	1	yes	characteristic, complemented
1194	(C₂×D₃)⋊C₄	—	5	1	no	—
1195	(C₂×D₃)⋊C₄	—	5	1	no	—
1196	(C₂×D₃)⋊C₄	—	5	1	no	—
1197	(C₂×D₃)⋊C₄	—	5	1	no	—
1198	(C₂×D₃)⋊C₄	—	5	1	no	—
1199	(C₂×D₃)⋊C₄	—	5	1	no	—
1200	(C₂×D₃)⋊C₄	—	5	1	no	—
1201	(C₂×D₃)⋊C₄	—	5	1	no	—
1202	(C₂×D₃)⋊C₄	—	5	1	no	—
1203	(C₂×D₃)⋊C₄	—	5	1	no	—
1204	(C₂×D₃)⋊C₄	—	5	1	no	—
1205	(C₂×D₃)⋊C₄	—	5	1	no	—
1206	(C₂×D₃)⋊C₄	—	5	1	no	—
1207	(C₂×D₃)⋊C₄	—	5	1	no	—
1208	(C₂×D₃)⋊C₄	—	5	1	no	—
1209	(C₂×D₃)⋊C₄	—	5	1	no	—
1210	(C₂×D₃)⋊C₄	—	5	1	no	—
1211	(C₂×D₃)⋊C₄	—	5	1	no	—
1212	(C₂×D₃)⋊C₄	—	5	1	no	—
1213	(C₂×D₃)⋊C₄	—	5	1	no	—
1214	(C₂×D₃)⋊C₄	—	5	1	no	—
1215	(C₂×D₃)⋊C₄	—	5	1	no	—
1216	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1217	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1218	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1219	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1220	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1221	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1222	C₄⋊Dic₃	—	5	1	no	—
1223	C₄⋊Dic₃	—	5	1	no	—
1224	C₄⋊Dic₃	—	5	1	no	—
1225	C₄⋊Dic₃	—	5	1	no	—
1226	C₄⋊Dic₃	—	5	1	no	—
1227	C₄⋊Dic₃	—	5	1	no	—
1228	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic, complemented
1229	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic, complemented
1230	Dic₃⋊C₄	—	5	1	no	—
1231	Dic₃⋊C₄	—	5	1	no	—
1232	Dic₃⋊C₄	—	5	1	no	—
1233	Dic₃⋊C₄	—	5	1	no	—
1234	Dic₃⋊C₄	—	5	1	no	—
1235	Dic₃⋊C₄	—	5	1	no	—
1236	Dic₃⋊C₄	—	5	1	no	—
1237	Dic₃⋊C₄	—	5	1	no	—
1238	Dic₃⋊C₄	—	5	1	no	—
1239	Dic₃⋊C₄	—	5	1	no	—
1240	Dic₃⋊C₄	—	5	1	no	—
1241	Dic₃⋊C₄	—	5	1	no	—
1242	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1243	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1244	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1245	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1246	C₄×Dic₃	—	5	1	no	—
1247	C₄×Dic₃	—	5	1	no	—
1248	C₄×Dic₃	—	5	1	no	—
1249	C₄×Dic₃	—	5	1	no	—
1250	C₄×Dic₃	—	5	1	no	—
1251	C₄×Dic₃	—	5	1	no	—
1252	C₄×Dic₃	—	5	1	no	—
1253	C₄×Dic₃	—	5	1	no	—
1254	C₄×Dic₃	—	5	1	no	—
1255	C₂³×C₅	—	3	1	no	—
1256	C₂³×C₅	—	3	4	no	—
1257	C₂³×C₅	—	3	1	no	—
1258	C₂³×C₅	—	3	1	no	—
1259	C₂³×C₅	—	6	2	no	—
1260	C₂³×C₅	—	6	2	no	—
1261	C₂³×C₅	—	6	2	no	—
1262	C₂³×C₅	—	6	2	no	—
1263	C₂³×C₅	—	6	2	no	—
1264	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1265	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1266	C₂²×D₅	—	2	2	no	—
1267	C₂²×D₅	—	2	2	no	—
1268	C₂²×D₅	—	3	1	no	—
1269	C₂²×D₅	—	3	4	no	—
1270	C₂²×D₅	—	3	1	no	—
1271	C₂²×D₅	—	4	1	no	—
1272	C₂²×D₅	—	6	2	no	—
1273	C₂²×D₅	—	6	2	no	—
1274	C₂²×D₅	—	6	2	no	—
1275	C₂²×D₅	—	6	2	no	—
1276	C₂²×D₅	—	6	2	no	—
1277	C₂²×D₅	—	6	2	no	—
1278	C₂²×D₅	—	6	2	no	—
1279	C₂²×D₅	—	6	2	no	—
1280	C₂²×D₅	—	6	2	no	—
1281	C₂²×D₅	—	6	2	no	—
1282	C₂²×D₅	—	6	2	no	—
1283	C₂²×D₅	—	12	1	no	—
1284	C₂²×D₅	—	12	1	no	—
1285	C₂²×D₅	—	12	16	no	—
1286	C₂²×D₅	—	12	1	no	—
1287	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1288	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1289	C₅×D₄	—	2	2	no	—
1290	C₅×D₄	—	6	2	no	—
1291	C₅×D₄	—	6	2	no	—
1292	C₅×D₄	—	6	2	no	—
1293	C₂×C₄×C₅	—	2	2	no	—
1294	C₂×C₄×C₅	—	3	1	no	—
1295	C₂×C₄×C₅	—	3	1	no	—
1296	C₂×C₄×C₅	—	3	1	no	—
1297	C₂×C₄×C₅	—	3	1	no	—
1298	C₂×C₄×C₅	—	3	1	no	—
1299	C₂×C₄×C₅	—	6	2	no	—
1300	C₂×C₄×C₅	—	6	2	no	—
1301	C₂×C₄×C₅	—	6	2	no	—
1302	C₂×C₄×C₅	—	6	2	no	—
1303	C₂×C₄×C₅	—	6	2	no	—
1304	C₂×C₄×C₅	—	6	2	no	—
1305	C₂×C₄×C₅	—	6	2	no	—
1306	C₂×C₄×C₅	—	6	2	no	—
1307	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1308	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1309	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1310	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1311	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1312	C₂²⋊D₅	—	2	2	no	—
1313	C₂²⋊D₅	—	4	1	no	—
1314	C₂²⋊D₅	—	6	2	no	—
1315	C₂²⋊D₅	—	6	2	no	—
1316	C₂²⋊D₅	—	6	2	no	—
1317	C₂²⋊D₅	—	12	1	no	—
1318	C₂²⋊D₅	—	12	1	no	—
1319	C₂²⋊D₅	—	12	1	no	—
1320	C₂×Dic₅	—	3	1	no	—
1321	C₂×Dic₅	—	3	1	no	—
1322	C₂×Dic₅	—	3	1	no	—
1323	C₂×Dic₅	—	3	1	no	—
1324	C₂×Dic₅	—	3	1	no	—
1325	C₂×Dic₅	—	3	1	no	—
1326	C₂×Dic₅	—	4	1	no	—
1327	C₂×Dic₅	—	4	1	no	—
1328	C₂×Dic₅	—	6	2	no	—
1329	C₂×Dic₅	—	6	2	no	—
1330	C₂×Dic₅	—	6	2	no	—
1331	C₂×Dic₅	—	6	2	no	—
1332	C₂×Dic₅	—	6	2	no	—
1333	C₂×Dic₅	—	6	2	no	—
1334	C₂×Dic₅	—	12	1	no	—
1335	C₂×Dic₅	—	12	1	no	—
1336	C₂×Dic₅	—	12	1	no	—
1337	C₂×Dic₅	—	12	1	no	—
1338	C₂×Dic₅	—	12	1	no	—
1339	C₂×Dic₅	—	12	1	no	—
1340	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1341	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1342	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1343	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1344	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1345	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1346	C₄×D₅	—	2	2	no	—
1347	C₄×D₅	—	4	1	no	—
1348	C₄×D₅	—	6	2	no	—
1349	C₄×D₅	—	6	2	no	—
1350	C₄×D₅	—	6	2	no	—
1351	C₄×D₅	—	12	1	no	—
1352	C₄×D₅	—	12	1	no	—
1353	C₄×D₅	—	12	1	no	—
1354	Dic₁₀	—	4	1	no	—
1355	Dic₁₀	—	12	1	no	—
1356	Dic₁₀	—	12	1	no	—
1357	Dic₁₀	—	12	1	no	—
1358	C₂⁵	—	15	1	no	—
1359	C₂²×Q₈	—	15	1	no	—
1360	C₂²×D₄	—	3	1	no	—
1361	C₂²×D₄	—	15	1	no	—
1362	C₂²×D₄	—	15	1	no	—
1363	C₂³×C₄	—	3	1	no	—
1364	C₂³×C₄	—	15	1	no	—
1365	C₂³×C₄	—	15	1	no	—
1366	C₂³×C₄	—	15	1	no	—
1367	C₂³×C₄	—	15	1	no	—
1368	#126	—	5	1	no	—
1369	#126	—	5	1	no	—
1370	#126	—	15	1	no	—
1371	#126	—	15	1	no	—
1372	#126	—	15	1	no	—
1373	#126	—	15	1	no	—
1374	#126	—	15	1	no	—
1375	#126	—	15	1	no	—
1376	#126	—	15	1	no	—
1377	#126	—	15	1	no	—
1378	#126	—	15	1	no	—
1379	#126	—	15	1	no	—
1380	#126	—	15	1	no	—
1381	#126	—	15	1	no	—
1382	#126	—	15	1	no	—
1383	#126	—	15	1	no	—
1384	#124	—	5	1	no	—
1385	#124	—	15	1	no	—
1386	#124	—	15	1	no	—
1387	#124	—	15	1	no	—
1388	#124	—	15	1	no	—
1389	#124	—	15	1	no	—
1390	#124	—	15	1	no	—
1391	#124	—	15	1	no	—
1392	#123	—	3	1	no	—
1393	#123	—	3	1	no	—
1394	#123	—	3	1	no	—
1395	#123	—	3	1	no	—
1396	#123	—	3	1	no	—
1397	#123	—	3	1	no	—
1398	#123	—	3	1	no	—
1399	#123	—	5	1	no	—
1400	#123	—	5	1	no	—
1401	#123	—	15	1	no	—
1402	#123	—	15	1	no	—
1403	#123	—	15	1	no	—
1404	#123	—	15	1	no	—
1405	#123	—	15	1	no	—
1406	#123	—	15	1	no	—
1407	#123	—	15	1	no	—
1408	#123	—	15	1	no	—
1409	#123	—	15	1	no	—
1410	#123	—	15	1	no	—
1411	#123	—	15	1	no	—
1412	#123	—	15	1	no	—
1413	#123	—	15	1	no	—
1414	#123	—	15	1	no	—
1415	#123	D₃×D₅	1	1	yes	characteristic, complemented
1416	C₂²⋊Q₈	—	5	1	no	—
1417	C₂²⋊Q₈	—	5	1	no	—
1418	C₂²⋊Q₈	—	15	1	no	—
1419	C₂²⋊Q₈	—	15	1	no	—
1420	C₂²⋊Q₈	—	15	1	no	—
1421	C₂²⋊Q₈	—	15	1	no	—
1422	C₂²⋊Q₈	—	15	1	no	—
1423	C₂²⋊Q₈	—	15	1	no	—
1424	C₂²⋊Q₈	—	15	1	no	—
1425	C₂²⋊Q₈	—	15	1	no	—
1426	C₂²⋊Q₈	—	15	1	no	—
1427	C₂²⋊Q₈	—	15	1	no	—
1428	C₂²⋊Q₈	—	15	1	no	—
1429	C₂²⋊Q₈	—	15	1	no	—
1430	C₂²⋊Q₈	—	15	1	no	—
1431	C₂²⋊Q₈	—	15	1	no	—
1432	#120	—	5	1	no	—
1433	#120	—	15	1	no	—
1434	#120	—	15	1	no	—
1435	#120	—	15	1	no	—
1436	#120	—	15	1	no	—
1437	#120	—	15	1	no	—
1438	#120	—	15	1	no	—
1439	#120	—	15	1	no	—
1440	C₄×D₄	—	5	1	no	—
1441	C₄×D₄	—	5	1	no	—
1442	C₄×D₄	—	15	1	no	—
1443	C₄×D₄	—	15	1	no	—
1444	C₄×D₄	—	15	1	no	—
1445	C₄×D₄	—	15	1	no	—
1446	C₄×D₄	—	15	1	no	—
1447	C₄×D₄	—	15	1	no	—
1448	C₄×D₄	—	15	1	no	—
1449	C₄×D₄	—	15	1	no	—
1450	C₄×D₄	—	15	1	no	—
1451	C₄×D₄	—	15	1	no	—
1452	C₄×D₄	—	15	1	no	—
1453	C₄×D₄	—	15	1	no	—
1454	C₄×D₄	—	15	1	no	—
1455	C₄×D₄	—	15	1	no	—
1456	#117	—	5	1	no	—
1457	#117	—	5	1	no	—
1458	#117	—	15	1	no	—
1459	#117	—	15	1	no	—
1460	#117	—	15	1	no	—
1461	#117	—	15	1	no	—
1462	#117	—	15	1	no	—
1463	#117	—	15	1	no	—
1464	#117	—	15	1	no	—
1465	#117	—	15	1	no	—
1466	#117	—	15	1	no	—
1467	#117	—	15	1	no	—
1468	#117	—	15	1	no	—
1469	#117	—	15	1	no	—
1470	#117	—	15	1	no	—
1471	#117	—	15	1	no	—
1472	C₂×C₄⋊C₄	—	3	1	no	—
1473	C₂×C₄⋊C₄	—	3	1	no	—
1474	C₂×C₄⋊C₄	—	15	1	no	—
1475	C₂×C₄⋊C₄	—	15	1	no	—
1476	C₂×C₄⋊C₄	—	15	1	no	—
1477	C₂×C₄⋊C₄	—	15	1	no	—
1478	C₂×C₄⋊C₄	—	15	1	no	—
1479	C₂×C₄⋊C₄	—	15	1	no	—
1480	C₂×C₂²⋊C₄	—	3	1	no	—
1481	C₂×C₂²⋊C₄	—	3	1	no	—
1482	C₂×C₂²⋊C₄	—	3	1	no	—
1483	C₂×C₂²⋊C₄	—	5	1	no	—
1484	C₂×C₂²⋊C₄	—	5	1	no	—
1485	C₂×C₂²⋊C₄	—	15	1	no	—
1486	C₂×C₂²⋊C₄	—	15	1	no	—
1487	C₂×C₂²⋊C₄	—	15	1	no	—
1488	C₂×C₂²⋊C₄	—	15	1	no	—
1489	C₂×C₂²⋊C₄	—	15	1	no	—
1490	C₂×C₂²⋊C₄	—	15	1	no	—
1491	C₂×C₂²⋊C₄	—	15	1	no	—
1492	C₂×C₂²⋊C₄	—	15	1	no	—
1493	C₂×C₂²⋊C₄	—	15	1	no	—
1494	C₂×C₂²⋊C₄	—	15	1	no	—
1495	C₂×C₂²⋊C₄	—	15	1	no	—
1496	C₂×C₂²⋊C₄	—	15	1	no	—
1497	C₂×C₂²⋊C₄	—	15	1	no	—
1498	C₂×C₂²⋊C₄	—	15	1	no	—
1499	C₂×C₂²⋊C₄	—	15	1	no	—
1500	C₂×C₂²⋊C₄	—	15	1	no	—
1501	C₂×C₂²⋊C₄	—	15	1	no	—
1502	C₂×C₂²⋊C₄	—	15	1	no	—
1503	C₂×C₂²⋊C₄	—	15	1	no	—
1504	C₂×C₂²⋊C₄	—	15	1	no	—
1505	C₂×C₂²⋊C₄	—	15	1	no	—
1506	C₂×C₂²⋊C₄	—	15	1	no	—
1507	C₂×C₂²⋊C₄	—	15	1	no	—
1508	C₂×C₂²⋊C₄	—	15	1	no	—
1509	C₂×C₂²⋊C₄	—	15	1	no	—
1510	C₂×C₄²	—	15	1	no	—
1511	C₂×C₄²	—	15	1	no	—
1512	C₂×C₄²	—	15	1	no	—
1513	C₂×C₃×C₅	—	2	2	no	—
1514	C₂×C₃×C₅	—	4	1	no	—
1515	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1516	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1517	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1518	D₁₅	—	2	2	no	—
1519	D₁₅	—	4	1	no	—
1520	C₃×D₅	—	2	2	no	—
1521	C₃×D₅	—	4	1	no	—
1522	C₅×D₃	—	2	2	no	—
1523	C₅×D₃	—	4	1	no	—
1524	C₅×D₃	#551	1	4	yes	complemented
1525	C₂³×C₃	—	5	1	no	—
1526	C₂³×C₃	—	5	1	no	—
1527	C₂³×C₃	—	10	2	no	—
1528	C₂³×C₃	—	10	2	no	—
1529	C₂³×C₃	—	20	1	no	—
1530	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1531	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1532	C₂²×D₃	—	2	2	no	—
1533	C₂²×D₃	—	2	2	no	—
1534	C₂²×D₃	—	2	2	no	—
1535	C₂²×D₃	—	2	2	no	—
1536	C₂²×D₃	—	2	2	no	—
1537	C₂²×D₃	—	5	1	no	—
1538	C₂²×D₃	—	5	4	no	—
1539	C₂²×D₃	—	5	1	no	—
1540	C₂²×D₃	—	10	2	no	—
1541	C₂²×D₃	—	10	2	no	—
1542	C₂²×D₃	—	10	2	no	—
1543	C₂²×D₃	—	10	2	no	—
1544	C₂²×D₃	—	10	2	no	—
1545	C₂²×D₃	—	10	2	no	—
1546	C₂²×D₃	—	10	2	no	—
1547	C₂²×D₃	—	10	2	no	—
1548	C₂²×D₃	—	10	2	no	—
1549	C₂²×D₃	—	10	2	no	—
1550	C₂²×D₃	—	10	2	no	—
1551	C₂²×D₃	—	20	1	no	—
1552	C₂²×D₃	—	20	1	no	—
1553	C₂²×D₃	—	20	16	no	—
1554	C₂²×D₃	—	20	1	no	—
1555	C₂²×D₃	#711	1	4	yes	—
1556	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1557	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1558	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1559	C₃×Q₈	—	20	1	no	—
1560	C₃×D₄	—	2	2	no	—
1561	C₃×D₄	—	10	2	no	—
1562	C₃×D₄	—	20	1	no	—
1563	C₂×C₃×C₄	—	2	2	no	—
1564	C₂×C₃×C₄	—	5	1	no	—
1565	C₂×C₃×C₄	—	5	1	no	—
1566	C₂×C₃×C₄	—	5	1	no	—
1567	C₂×C₃×C₄	—	5	1	no	—
1568	C₂×C₃×C₄	—	5	1	no	—
1569	C₂×C₃×C₄	—	5	1	no	—
1570	C₂×C₃×C₄	—	10	2	no	—
1571	C₂×C₃×C₄	—	20	1	no	—
1572	C₂×C₃×C₄	—	20	1	no	—
1573	C₂×C₃×C₄	—	20	1	no	—
1574	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1575	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1576	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1577	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1578	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1579	#67	—	2	2	no	—
1580	#67	—	2	2	no	—
1581	#67	—	10	2	no	—
1582	#67	—	10	2	no	—
1583	#67	—	20	1	no	—
1584	#67	—	20	1	no	—
1585	C₂×Dic₃	—	2	2	no	—
1586	C₂×Dic₃	—	5	1	no	—
1587	C₂×Dic₃	—	5	1	no	—
1588	C₂×Dic₃	—	5	1	no	—
1589	C₂×Dic₃	—	5	1	no	—
1590	C₂×Dic₃	—	5	1	no	—
1591	C₂×Dic₃	—	5	1	no	—
1592	C₂×Dic₃	—	10	2	no	—
1593	C₂×Dic₃	—	20	1	no	—
1594	C₂×Dic₃	—	20	1	no	—
1595	C₂×Dic₃	—	20	1	no	—
1596	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1597	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1598	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1599	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1600	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1601	D₁₂	—	2	2	no	—
1602	D₁₂	—	10	2	no	—
1603	D₁₂	—	20	1	no	—
1604	C₄×D₃	—	2	2	no	—
1605	C₄×D₃	—	2	2	no	—
1606	C₄×D₃	—	2	2	no	—
1607	C₄×D₃	—	2	2	no	—
1608	C₄×D₃	—	2	2	no	—
1609	C₄×D₃	—	2	2	no	—
1610	C₄×D₃	—	2	2	no	—
1611	C₄×D₃	—	10	2	no	—
1612	C₄×D₃	—	10	2	no	—
1613	C₄×D₃	—	10	2	no	—
1614	C₄×D₃	—	10	2	no	—
1615	C₄×D₃	—	10	2	no	—
1616	C₄×D₃	—	10	2	no	—
1617	C₄×D₃	—	10	2	no	—
1618	C₄×D₃	—	10	2	no	—
1619	C₄×D₃	—	20	1	no	—
1620	C₄×D₃	—	20	1	no	—
1621	C₄×D₃	—	20	1	no	—
1622	C₄×D₃	—	20	1	no	—
1623	C₄×D₃	—	20	1	no	—
1624	C₄×D₃	—	20	1	no	—
1625	Dic₆	—	20	1	no	—
1626	Dic₆	—	20	1	no	—
1627	Dic₆	—	20	1	no	—
1628	C₂²×C₅	—	2	1	no	—
1629	C₂²×C₅	—	2	1	no	—
1630	C₂²×C₅	—	2	1	no	—
1631	C₂²×C₅	—	2	1	no	—
1632	C₂²×C₅	—	2	1	no	—
1633	C₂²×C₅	—	3	2	no	—
1634	C₂²×C₅	—	3	2	no	—
1635	C₂²×C₅	—	3	2	no	—
1636	C₂²×C₅	—	3	2	no	—
1637	C₂²×C₅	—	6	8	no	—
1638	C₂²×C₅	—	6	1	no	—
1639	C₂²×C₅	—	6	1	no	—
1640	C₂²×C₅	—	6	1	no	—
1641	C₂²×C₅	—	6	1	no	—
1642	C₂²×C₅	—	6	1	no	—
1643	C₂²×C₅	—	12	4	no	—
1644	C₂²×C₅	D₃×#41	1	2	yes	—
1645	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1646	C₂×D₅	—	2	1	no	—
1647	C₂×D₅	—	2	1	no	—
1648	C₂×D₅	—	2	1	no	—
1649	C₂×D₅	—	2	1	no	—
1650	C₂×D₅	—	2	1	no	—
1651	C₂×D₅	—	3	2	no	—
1652	C₂×D₅	—	4	4	no	—
1653	C₂×D₅	—	6	8	no	—
1654	C₂×D₅	—	6	1	no	—
1655	C₂×D₅	—	6	1	no	—
1656	C₂×D₅	—	6	1	no	—
1657	C₂×D₅	—	6	1	no	—
1658	C₂×D₅	—	6	1	no	—
1659	C₂×D₅	—	12	4	no	—
1660	C₂×D₅	—	12	4	no	—
1661	C₂×D₅	—	12	4	no	—
1662	C₂×D₅	—	12	4	no	—
1663	C₂×D₅	D₃×#41	1	2	yes	—
1664	C₄×C₅	—	2	1	no	—
1665	C₄×C₅	—	2	1	no	—
1666	C₄×C₅	—	2	1	no	—
1667	C₄×C₅	—	2	1	no	—
1668	C₄×C₅	—	2	1	no	—
1669	C₄×C₅	—	6	1	no	—
1670	C₄×C₅	—	6	1	no	—
1671	C₄×C₅	—	6	1	no	—
1672	C₄×C₅	—	6	1	no	—
1673	C₄×C₅	—	6	1	no	—
1674	Dic₅	—	2	1	no	—
1675	Dic₅	—	2	1	no	—
1676	Dic₅	—	2	1	no	—
1677	Dic₅	—	2	1	no	—
1678	Dic₅	—	2	1	no	—
1679	Dic₅	—	2	1	no	—
1680	Dic₅	—	6	1	no	—
1681	Dic₅	—	6	1	no	—
1682	Dic₅	—	6	1	no	—
1683	Dic₅	—	6	1	no	—
1684	Dic₅	—	6	1	no	—
1685	Dic₅	—	6	1	no	—
1686	C₂⁴	—	3	1	no	—
1687	C₂⁴	—	3	1	no	—
1688	C₂⁴	—	5	1	no	—
1689	C₂⁴	—	15	1	no	—
1690	C₂⁴	—	15	1	no	—
1691	C₂⁴	—	15	1	no	—
1692	C₂⁴	—	15	1	no	—
1693	C₂⁴	—	15	1	no	—
1694	C₂⁴	—	30	4	no	—
1695	C₂⁴	—	30	4	no	—
1696	C₂⁴	—	60	2	no	—
1697	C₂×Q₈	—	5	1	no	—
1698	C₂×Q₈	—	15	1	no	—
1699	C₂×Q₈	—	15	1	no	—
1700	C₂×Q₈	—	15	1	no	—
1701	C₂×Q₈	—	60	2	no	—
1702	C₂×D₄	—	3	1	no	—
1703	C₂×D₄	—	3	1	no	—
1704	C₂×D₄	—	3	1	no	—
1705	C₂×D₄	—	5	1	no	—
1706	C₂×D₄	—	5	1	no	—
1707	C₂×D₄	—	6	4	no	—
1708	C₂×D₄	—	15	1	no	—
1709	C₂×D₄	—	15	1	no	—
1710	C₂×D₄	—	15	1	no	—
1711	C₂×D₄	—	15	1	no	—
1712	C₂×D₄	—	15	1	no	—
1713	C₂×D₄	—	15	1	no	—
1714	C₂×D₄	—	30	4	no	—
1715	C₂×D₄	—	60	2	no	—
1716	C₂×D₄	C₂×D₃×D₅	1	1	yes	characteristic
1717	C₂²×C₄	—	3	1	no	—
1718	C₂²×C₄	—	3	1	no	—
1719	C₂²×C₄	—	3	1	no	—
1720	C₂²×C₄	—	3	1	no	—
1721	C₂²×C₄	—	3	1	no	—
1722	C₂²×C₄	—	3	1	no	—
1723	C₂²×C₄	—	3	1	no	—
1724	C₂²×C₄	—	3	1	no	—
1725	C₂²×C₄	—	5	1	no	—
1726	C₂²×C₄	—	5	1	no	—
1727	C₂²×C₄	—	5	1	no	—
1728	C₂²×C₄	—	5	1	no	—
1729	C₂²×C₄	—	6	4	no	—
1730	C₂²×C₄	—	15	1	no	—
1731	C₂²×C₄	—	15	1	no	—
1732	C₂²×C₄	—	15	1	no	—
1733	C₂²×C₄	—	15	1	no	—
1734	C₂²×C₄	—	15	1	no	—
1735	C₂²×C₄	—	15	1	no	—
1736	C₂²×C₄	—	15	1	no	—
1737	C₂²×C₄	—	15	1	no	—
1738	C₂²×C₄	—	15	1	no	—
1739	C₂²×C₄	—	15	1	no	—
1740	C₂²×C₄	—	15	1	no	—
1741	C₂²×C₄	—	15	1	no	—
1742	C₂²×C₄	—	15	1	no	—
1743	C₂²×C₄	—	15	1	no	—
1744	C₂²×C₄	—	15	1	no	—
1745	C₂²×C₄	—	15	1	no	—
1746	C₂²×C₄	—	15	1	no	—
1747	C₂²×C₄	—	15	1	no	—
1748	C₂²×C₄	—	30	4	no	—
1749	C₂²×C₄	—	60	2	no	—
1750	C₂²×C₄	—	60	2	no	—
1751	C₂²×C₄	—	60	2	no	—
1752	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
1753	C₄⋊C₄	—	3	1	no	—
1754	C₄⋊C₄	—	3	1	no	—
1755	C₄⋊C₄	—	3	1	no	—
1756	C₄⋊C₄	—	3	1	no	—
1757	C₄⋊C₄	—	3	1	no	—
1758	C₄⋊C₄	—	3	1	no	—
1759	C₄⋊C₄	—	5	1	no	—
1760	C₄⋊C₄	—	5	1	no	—
1761	C₄⋊C₄	—	5	1	no	—
1762	C₄⋊C₄	—	5	1	no	—
1763	C₄⋊C₄	—	5	1	no	—
1764	C₄⋊C₄	—	5	1	no	—
1765	C₄⋊C₄	—	15	1	no	—
1766	C₄⋊C₄	—	15	1	no	—
1767	C₄⋊C₄	—	15	1	no	—
1768	C₄⋊C₄	—	15	1	no	—
1769	C₄⋊C₄	—	15	1	no	—
1770	C₄⋊C₄	—	15	1	no	—
1771	C₄⋊C₄	—	15	1	no	—
1772	C₄⋊C₄	—	15	1	no	—
1773	C₄⋊C₄	—	15	1	no	—
1774	C₄⋊C₄	—	15	1	no	—
1775	C₄⋊C₄	—	15	1	no	—
1776	C₄⋊C₄	—	15	1	no	—
1777	C₄⋊C₄	—	15	1	no	—
1778	C₄⋊C₄	—	15	1	no	—
1779	C₄⋊C₄	—	15	1	no	—
1780	C₄⋊C₄	—	15	1	no	—
1781	C₄⋊C₄	—	15	1	no	—
1782	C₄⋊C₄	—	15	1	no	—
1783	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1784	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1785	C₂²⋊C₄	—	3	1	no	—
1786	C₂²⋊C₄	—	3	1	no	—
1787	C₂²⋊C₄	—	3	1	no	—
1788	C₂²⋊C₄	—	3	1	no	—
1789	C₂²⋊C₄	—	3	1	no	—
1790	C₂²⋊C₄	—	3	1	no	—
1791	C₂²⋊C₄	—	3	1	no	—
1792	C₂²⋊C₄	—	3	1	no	—
1793	C₂²⋊C₄	—	3	1	no	—
1794	C₂²⋊C₄	—	5	1	no	—
1795	C₂²⋊C₄	—	5	1	no	—
1796	C₂²⋊C₄	—	5	1	no	—
1797	C₂²⋊C₄	—	5	1	no	—
1798	C₂²⋊C₄	—	5	1	no	—
1799	C₂²⋊C₄	—	5	1	no	—
1800	C₂²⋊C₄	—	5	1	no	—
1801	C₂²⋊C₄	—	5	1	no	—
1802	C₂²⋊C₄	—	5	1	no	—
1803	C₂²⋊C₄	—	5	1	no	—
1804	C₂²⋊C₄	—	5	1	no	—
1805	C₂²⋊C₄	—	15	1	no	—
1806	C₂²⋊C₄	—	15	1	no	—
1807	C₂²⋊C₄	—	15	1	no	—
1808	C₂²⋊C₄	—	15	1	no	—
1809	C₂²⋊C₄	—	15	1	no	—
1810	C₂²⋊C₄	—	15	1	no	—
1811	C₂²⋊C₄	—	15	1	no	—
1812	C₂²⋊C₄	—	15	1	no	—
1813	C₂²⋊C₄	—	15	1	no	—
1814	C₂²⋊C₄	—	15	1	no	—
1815	C₂²⋊C₄	—	15	1	no	—
1816	C₂²⋊C₄	—	15	1	no	—
1817	C₂²⋊C₄	—	15	1	no	—
1818	C₂²⋊C₄	—	15	1	no	—
1819	C₂²⋊C₄	—	15	1	no	—
1820	C₂²⋊C₄	—	15	1	no	—
1821	C₂²⋊C₄	—	15	1	no	—
1822	C₂²⋊C₄	—	15	1	no	—
1823	C₂²⋊C₄	—	15	1	no	—
1824	C₂²⋊C₄	—	15	1	no	—
1825	C₂²⋊C₄	—	15	1	no	—
1826	C₂²⋊C₄	—	15	1	no	—
1827	C₂²⋊C₄	—	15	1	no	—
1828	C₂²⋊C₄	—	15	1	no	—
1829	C₂²⋊C₄	—	15	1	no	—
1830	C₂²⋊C₄	—	15	1	no	—
1831	C₂²⋊C₄	—	15	1	no	—
1832	C₂²⋊C₄	—	15	1	no	—
1833	C₂²⋊C₄	—	15	1	no	—
1834	C₂²⋊C₄	—	15	1	no	—
1835	C₂²⋊C₄	—	15	1	no	—
1836	C₂²⋊C₄	—	15	1	no	—
1837	C₂²⋊C₄	—	15	1	no	—
1838	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1839	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1840	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1841	C₄²	—	5	1	no	—
1842	C₄²	—	5	1	no	—
1843	C₄²	—	5	1	no	—
1844	C₄²	—	15	1	no	—
1845	C₄²	—	15	1	no	—
1846	C₄²	—	15	1	no	—
1847	C₄²	—	15	1	no	—
1848	C₄²	—	15	1	no	—
1849	C₄²	—	15	1	no	—
1850	C₄²	—	15	1	no	—
1851	C₄²	—	15	1	no	—
1852	C₄²	—	15	1	no	—
1853	C₃×C₅	C₂×#551	1	1	yes	characteristic, complemented, Hall
1854	C₂²×C₃	—	2	1	no	—
1855	C₂²×C₃	—	2	1	no	—
1856	C₂²×C₃	—	2	1	no	—
1857	C₂²×C₃	—	2	1	no	—
1858	C₂²×C₃	—	2	1	no	—
1859	C₂²×C₃	—	5	2	no	—
1860	C₂²×C₃	—	10	1	no	—
1861	C₂²×C₃	—	10	1	no	—
1862	C₂²×C₃	—	10	1	no	—
1863	C₂²×C₃	—	10	1	no	—
1864	C₂²×C₃	—	10	1	no	—
1865	C₂²×C₃	—	20	4	no	—
1866	C₂²×C₃	C₂×#711	1	2	yes	—
1867	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1868	C₂×D₃	—	2	1	no	—
1869	C₂×D₃	—	2	1	no	—
1870	C₂×D₃	—	2	8	no	—
1871	C₂×D₃	—	2	1	no	—
1872	C₂×D₃	—	2	1	no	—
1873	C₂×D₃	—	2	1	no	—
1874	C₂×D₃	—	4	4	no	—
1875	C₂×D₃	—	5	2	no	—
1876	C₂×D₃	—	10	1	no	—
1877	C₂×D₃	—	10	1	no	—
1878	C₂×D₃	—	10	8	no	—
1879	C₂×D₃	—	10	1	no	—
1880	C₂×D₃	—	10	1	no	—
1881	C₂×D₃	—	10	1	no	—
1882	C₂×D₃	—	20	4	no	—
1883	C₂×D₃	—	20	4	no	—
1884	C₂×D₃	—	20	4	no	—
1885	C₂×D₃	—	20	4	no	—
1886	C₂×D₃	C₂×#711	1	2	yes	—
1887	C₂×D₃	C₂×#711	1	2	yes	—
1888	C₂×D₃	D₅×#41	1	2	yes	—
1889	C₂×D₃	#4149	1	2	yes	—
1890	C₃×C₄	—	2	1	no	—
1891	C₃×C₄	—	2	1	no	—
1892	C₃×C₄	—	2	1	no	—
1893	C₃×C₄	—	2	1	no	—
1894	C₃×C₄	—	2	1	no	—
1895	C₃×C₄	—	10	1	no	—
1896	C₃×C₄	—	10	1	no	—
1897	C₃×C₄	—	10	1	no	—
1898	C₃×C₄	—	10	1	no	—
1899	C₃×C₄	—	10	1	no	—
1900	C₃×C₄	—	10	1	no	—
1901	Dic₃	—	2	1	no	—
1902	Dic₃	—	2	1	no	—
1903	Dic₃	—	2	1	no	—
1904	Dic₃	—	2	1	no	—
1905	Dic₃	—	2	1	no	—
1906	Dic₃	—	10	1	no	—
1907	Dic₃	—	10	1	no	—
1908	Dic₃	—	10	1	no	—
1909	Dic₃	—	10	1	no	—
1910	Dic₃	—	10	1	no	—
1911	Dic₃	—	10	1	no	—
1912	C₂×C₅	—	2	2	no	—
1913	C₂×C₅	—	3	4	no	—
1914	C₂×C₅	—	4	1	no	—
1915	C₂×C₅	—	6	2	no	—
1916	C₂×C₅	—	12	1	no	—
1917	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1918	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1919	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1920	D₅	—	2	2	no	—
1921	D₅	—	4	1	no	—
1922	D₅	—	6	2	no	—
1923	D₅	—	12	1	no	—
1924	C₂³	—	3	1	no	—
1925	C₂³	—	3	4	no	—
1926	C₂³	—	3	1	no	—
1927	C₂³	—	3	1	no	—
1928	C₂³	—	5	1	no	—
1929	C₂³	—	5	1	no	—
1930	C₂³	—	6	2	no	—
1931	C₂³	—	6	2	no	—
1932	C₂³	—	6	2	no	—
1933	C₂³	—	6	2	no	—
1934	C₂³	—	6	2	no	—
1935	C₂³	—	10	2	no	—
1936	C₂³	—	10	2	no	—
1937	C₂³	—	15	4	no	—
1938	C₂³	—	15	1	no	—
1939	C₂³	—	15	1	no	—
1940	C₂³	—	20	1	no	—
1941	C₂³	—	30	2	no	—
1942	C₂³	—	30	2	no	—
1943	C₂³	—	30	2	no	—
1944	C₂³	—	30	2	no	—
1945	C₂³	—	30	2	no	—
1946	C₂³	—	30	2	no	—
1947	C₂³	—	30	2	no	—
1948	C₂³	—	30	2	no	—
1949	C₂³	—	30	2	no	—
1950	C₂³	—	30	2	no	—
1951	C₂³	—	30	2	no	—
1952	C₂³	—	60	1	no	—
1953	C₂³	—	60	1	no	—
1954	C₂³	—	60	1	no	—
1955	C₂³	—	60	16	no	—
1956	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1957	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1958	Q₈	—	20	1	no	—
1959	Q₈	—	60	1	no	—
1960	Q₈	—	60	1	no	—
1961	Q₈	—	60	1	no	—
1962	D₄	—	2	2	no	—
1963	D₄	—	6	2	no	—
1964	D₄	—	6	2	no	—
1965	D₄	—	6	2	no	—
1966	D₄	—	10	2	no	—
1967	D₄	—	20	1	no	—
1968	D₄	—	30	2	no	—
1969	D₄	—	30	2	no	—
1970	D₄	—	30	2	no	—
1971	D₄	—	60	1	no	—
1972	D₄	—	60	1	no	—
1973	D₄	—	60	1	no	—
1974	C₂×C₄	—	2	2	no	—
1975	C₂×C₄	—	3	1	no	—
1976	C₂×C₄	—	3	1	no	—
1977	C₂×C₄	—	3	1	no	—
1978	C₂×C₄	—	3	1	no	—
1979	C₂×C₄	—	3	1	no	—
1980	C₂×C₄	—	5	1	no	—
1981	C₂×C₄	—	5	1	no	—
1982	C₂×C₄	—	5	1	no	—
1983	C₂×C₄	—	5	1	no	—
1984	C₂×C₄	—	5	1	no	—
1985	C₂×C₄	—	5	1	no	—
1986	C₂×C₄	—	6	2	no	—
1987	C₂×C₄	—	6	2	no	—
1988	C₂×C₄	—	6	2	no	—
1989	C₂×C₄	—	6	2	no	—
1990	C₂×C₄	—	6	2	no	—
1991	C₂×C₄	—	6	2	no	—
1992	C₂×C₄	—	6	2	no	—
1993	C₂×C₄	—	6	2	no	—
1994	C₂×C₄	—	10	2	no	—
1995	C₂×C₄	—	15	1	no	—
1996	C₂×C₄	—	15	1	no	—
1997	C₂×C₄	—	15	1	no	—
1998	C₂×C₄	—	15	1	no	—
1999	C₂×C₄	—	15	1	no	—
2000	C₂×C₄	—	15	1	no	—
2001	C₂×C₄	—	20	1	no	—
2002	C₂×C₄	—	20	1	no	—
2003	C₂×C₄	—	20	1	no	—
2004	C₂×C₄	—	30	2	no	—
2005	C₂×C₄	—	30	2	no	—
2006	C₂×C₄	—	30	2	no	—
2007	C₂×C₄	—	30	2	no	—
2008	C₂×C₄	—	30	2	no	—
2009	C₂×C₄	—	30	2	no	—
2010	C₂×C₄	—	30	2	no	—
2011	C₂×C₄	—	30	2	no	—
2012	C₂×C₄	—	30	2	no	—
2013	C₂×C₄	—	60	1	no	—
2014	C₂×C₄	—	60	1	no	—
2015	C₂×C₄	—	60	1	no	—
2016	C₂×C₄	—	60	1	no	—
2017	C₂×C₄	—	60	1	no	—
2018	C₂×C₄	—	60	1	no	—
2019	C₂×C₄	—	60	1	no	—
2020	C₂×C₄	—	60	1	no	—
2021	C₂×C₄	—	60	1	no	—
2022	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2023	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2024	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2025	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2026	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2027	C₂×C₃	—	2	2	no	—
2028	C₂×C₃	—	4	1	no	—
2029	C₂×C₃	—	10	2	no	—
2030	C₂×C₃	—	20	1	no	—
2031	C₂×C₃	C₂²×#711	1	1	yes	characteristic
2032	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
2033	C₂×C₃	C₂×#4149	1	1	yes	characteristic
2034	D₃	—	2	2	no	—
2035	D₃	—	4	1	no	—
2036	D₃	—	10	2	no	—
2037	D₃	—	20	1	no	—
2038	D₃	#65992	1	4	yes	direct product factor
2039	C₅	D₃×#551	1	1	yes	characteristic, complemented, Sylow
2040	C₂²	—	2	1	no	—
2041	C₂²	—	2	1	no	—
2042	C₂²	—	2	1	no	—
2043	C₂²	—	2	1	no	—
2044	C₂²	—	2	1	no	—
2045	C₂²	—	3	2	no	—
2046	C₂²	—	3	2	no	—
2047	C₂²	—	3	2	no	—
2048	C₂²	—	3	2	no	—
2049	C₂²	—	5	2	no	—
2050	C₂²	—	6	8	no	—
2051	C₂²	—	6	1	no	—
2052	C₂²	—	6	1	no	—
2053	C₂²	—	6	1	no	—
2054	C₂²	—	6	1	no	—
2055	C₂²	—	6	1	no	—
2056	C₂²	—	10	1	no	—
2057	C₂²	—	10	1	no	—
2058	C₂²	—	10	1	no	—
2059	C₂²	—	10	1	no	—
2060	C₂²	—	10	1	no	—
2061	C₂²	—	12	4	no	—
2062	C₂²	—	15	2	no	—
2063	C₂²	—	20	4	no	—
2064	C₂²	—	30	8	no	—
2065	C₂²	—	30	1	no	—
2066	C₂²	—	30	1	no	—
2067	C₂²	—	30	1	no	—
2068	C₂²	—	30	1	no	—
2069	C₂²	—	30	1	no	—
2070	C₂²	—	60	4	no	—
2071	C₂²	—	60	4	no	—
2072	C₂²	—	60	4	no	—
2073	C₂²	—	60	4	no	—
2074	C₂²	D₃×#711	1	2	yes	—
2075	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
2076	C₄	—	2	1	no	—
2077	C₄	—	2	1	no	—
2078	C₄	—	2	1	no	—
2079	C₄	—	2	1	no	—
2080	C₄	—	2	1	no	—
2081	C₄	—	6	1	no	—
2082	C₄	—	6	1	no	—
2083	C₄	—	6	1	no	—
2084	C₄	—	6	1	no	—
2085	C₄	—	6	1	no	—
2086	C₄	—	10	1	no	—
2087	C₄	—	10	1	no	—
2088	C₄	—	10	1	no	—
2089	C₄	—	10	1	no	—
2090	C₄	—	10	1	no	—
2091	C₄	—	10	1	no	—
2092	C₄	—	30	1	no	—
2093	C₄	—	30	1	no	—
2094	C₄	—	30	1	no	—
2095	C₄	—	30	1	no	—
2096	C₄	—	30	1	no	—
2097	C₄	—	30	1	no	—
2098	C₃	C₂×#65992	1	1	yes	characteristic, complemented, Sylow
2099	C₂	—	2	2	no	—
2100	C₂	—	3	4	no	—
2101	C₂	—	4	1	no	—
2102	C₂	—	6	2	no	—
2103	C₂	—	10	2	no	—
2104	C₂	—	12	1	no	—
2105	C₂	—	20	1	no	—
2106	C₂	—	30	2	no	—
2107	C₂	—	60	1	no	—
2108	C₂	C₂×D₃×#711	1	1	yes	characteristic
2109	C₂	D₃×D₅×#41	1	1	yes	characteristic
2110	C₂	D₃×#4149	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	D₃×#4083	C₂
hypercenter	#123	D₃×D₅
hypocenter	C₃×C₅	C₂×#551
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. #11756417	C₂	semidirect
2. C₅×D₃×#123	C₂	semidirect
3. C₃×#65992	C₂	semidirect
5. #11754838	C₂	semidirect
6. D₃×D₄×Dic₅	C₂	semidirect
7. #11754736	C₂	semidirect
8. C₂×D₃×#685	C₂	semidirect
9. #11754462	C₂	semidirect
10. D₃×#4072	C₂	semidirect
11. #11754401	C₂	semidirect
12. #11753924	C₂	semidirect
13. #11753923	C₂	semidirect
14. D₃×#4044	C₂	semidirect
15. D₃×#4044	C₂	semidirect
16. #11753911	C₂	semidirect
17. #11753896	C₂	semidirect
18. D₃×#4043	C₂	semidirect
19. D₃×#4038	C₂	semidirect
20. #11753293	C₂	semidirect
21. #11753292	C₂	semidirect
22. #11753283	C₂	semidirect
23. #11753279	C₂	semidirect
24. D₃×#4032	C₂	semidirect
25. D₃×#4031	C₂	semidirect
26. D₃×#4029	C₂	semidirect
27. D₃×#4027	C₂	semidirect
28. D₃×D₅×C₂²⋊C₄	C₂	semidirect
29. #11753103	C₂	semidirect
30. #11753041	C₂	semidirect
31. D₃×#4024	C₂	semidirect
39. C₂²×D₃×Dic₅	C₂²	semidirect
42. C₂×D₃×Dic₁₀	C₂²	semidirect
43. C₃×C₅×#123	C₂²	semidirect
45. D₄×Dic₁₅	C₂²	semidirect
46. C₂×#6714	C₂²	semidirect
47. #91815	C₂²	semidirect
48. #91787	C₂²	semidirect
49. #91787	C₂²	semidirect
50. #91786	C₂²	semidirect
51. #91781	C₂²	semidirect
52. #91775	C₂²	semidirect
53. #91774	C₂²	semidirect
54. #91772	C₂²	semidirect
55. #91770	C₂²	semidirect
56. C₂²⋊C₄×D₁₅	C₂²	semidirect
57. #91767	C₂²	semidirect
58. C₅×#935	C₂²	semidirect
59. C₅×#929	C₂²	semidirect
60. C₅×#894	C₂²	semidirect
61. C₅×#894	C₂²	semidirect
62. C₅×D₃×C₄⋊C₄	C₂²	semidirect
63. C₅×D₃×C₄⋊C₄	C₂²	semidirect
64. C₅×#886	C₂²	semidirect
65. C₅×#883	C₂²	semidirect
66. C₅×#883	C₂²	semidirect
68. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
69. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
71. C₃×D₄×Dic₅	C₂²	semidirect
72. C₂×C₃×#685	C₂²	semidirect
73. C₃×#4072	C₂²	semidirect
74. C₃×#4044	C₂²	semidirect
75. C₃×#4044	C₂²	semidirect
76. C₃×#4043	C₂²	semidirect
77. C₃×#4038	C₂²	semidirect
78. C₃×#4032	C₂²	semidirect
79. C₃×#4031	C₂²	semidirect
80. C₃×#4029	C₂²	semidirect
81. C₃×#4027	C₂²	semidirect
82. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
83. C₃×#4024	C₂²	semidirect
86. #91576	C₂²	semidirect
87. #91574	C₂²	semidirect
90. #91562	C₂²	semidirect
91. #91561	C₂²	semidirect
92. #67⋊Dic₅	C₂²	semidirect
93. #67⋊Dic₅	C₂²	semidirect
94. #91559	C₂²	semidirect
97. D₃×C₂²⋊Dic₅	C₂²	semidirect
98. #91552	C₂²	semidirect
99. Dic₅×#67	C₂²	semidirect
100. Dic₅×#67	C₂²	semidirect
101. #91548	C₂²	semidirect
102. D₅×#217	C₂²	semidirect
103. #91546	C₂²	semidirect
104. C₂×#6667	C₂²	semidirect
105. #91537	C₂²	semidirect
106. C₂×#6665	C₂²	semidirect
107. #91534	C₂²	semidirect
108. #91529	C₂²	semidirect
109. #91529	C₂²	semidirect
110. #91526	C₂²	semidirect
113. #91473	C₂²	semidirect
114. #91473	C₂²	semidirect
123. D₃×#685	C₂²	semidirect
124. D₃×#685	C₂²	semidirect
125. D₃×#685	C₂²	semidirect
126. D₃×#685	C₂²	semidirect
127. D₅×(C₂×D₃)⋊C₄	C₂²	semidirect
128. D₅×(C₂×D₃)⋊C₄	C₂²	semidirect
129. #91464	C₂²	semidirect
130. #91462	C₂²	semidirect
131. #91457	C₂²	semidirect
132. #91457	C₂²	semidirect
133. #91447	C₂²	semidirect
134. #91442	C₂²	semidirect
135. #91440	C₂²	semidirect
136. #91438	C₂²	semidirect
137. #91436	C₂²	semidirect
138. #91435	C₂²	semidirect
139. #91432	C₂²	semidirect
140. #91429	C₂²	semidirect
141. #91429	C₂²	semidirect
142. #91427	C₂²	semidirect
143. #91427	C₂²	semidirect
144. D₃×C₄⋊Dic₅	C₂²	semidirect
145. D₃×C₄⋊Dic₅	C₂²	semidirect
146. D₃×C₄⋊Dic₅	C₂²	semidirect
147. D₃×C₄⋊Dic₅	C₂²	semidirect
148. #91422	C₂²	semidirect
149. #91422	C₂²	semidirect
150. #91417	C₂²	semidirect
151. Dic₅×D₁₂	C₂²	semidirect
152. #91414	C₂²	semidirect
153. #91410	C₂²	semidirect
154. #91406	C₂²	semidirect
155. #91405	C₂²	semidirect
156. #91402	C₂²	semidirect
157. #91402	C₂²	semidirect
158. D₃×#683	C₂²	semidirect
159. D₃×#683	C₂²	semidirect
160. C₄×D₃×Dic₅	C₂²	semidirect
161. C₄×D₃×Dic₅	C₂²	semidirect
162. C₄×D₃×Dic₅	C₂²	semidirect
163. #91394	C₂²	semidirect
164. #91394	C₂²	semidirect
165. #91390	C₂²	semidirect
166. #91387	C₂²	semidirect
167. #91387	C₂²	semidirect
168. #91371	C₂²	semidirect
169. #91371	C₂²	semidirect
170. #91366	C₂²	semidirect
171. #91366	C₂²	semidirect
172. #91362	C₂²	semidirect
173. #91362	C₂²	semidirect
174. #91361	C₂²	semidirect
175. #91361	C₂²	semidirect
176. #91360	C₂²	semidirect
177. #91358	C₂²	semidirect
178. #91355	C₂²	semidirect
179. #91350	C₂²	semidirect
180. #91347	C₂²	semidirect
181. #91345	C₂²	semidirect
182. #91345	C₂²	semidirect
183. #91338	C₂²	semidirect
184. #91338	C₂²	semidirect
185. #91337	C₂²	semidirect
186. #91337	C₂²	semidirect
187. #91326	C₂²	semidirect
209. #65992	D₃	direct (N × H)
236. C₂²×Dic₁₅	C₂³	semidirect
239. C₂×Dic₃₀	C₂³	semidirect
256. C₂²×C₃×Dic₅	C₂³	semidirect
259. C₂×C₃×Dic₁₀	C₂³	semidirect
262. C₂×#1204	C₂³	semidirect
263. C₂×#1204	C₂³	semidirect
280. C₂×D₃×Dic₅	C₂³	semidirect
281. C₂×D₃×Dic₅	C₂³	semidirect
287. C₃×C₅×C₄⋊C₄	C₂³	semidirect
288. C₃×C₅×C₄⋊C₄	C₂³	semidirect
290. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
291. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
294. #6719	C₂³	semidirect
303. C₄⋊Dic₁₅	C₂³	semidirect
304. C₄⋊Dic₁₅	C₂³	semidirect
305. C₄⋊Dic₁₅	C₂³	semidirect
306. C₄⋊Dic₁₅	C₂³	semidirect
307. #6712	C₂³	semidirect
308. #6712	C₂³	semidirect
309. C₄×Dic₁₅	C₂³	semidirect
310. C₄×Dic₁₅	C₂³	semidirect
311. C₄×Dic₁₅	C₂³	semidirect
313. C₅×#217	C₂³	semidirect
314. C₅×#217	C₂³	semidirect
317. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
318. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
319. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
320. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
321. C₅×C₄⋊Dic₃	C₂³	semidirect
322. C₅×C₄⋊Dic₃	C₂³	semidirect
323. C₅×Dic₃⋊C₄	C₂³	semidirect
324. C₅×Dic₃⋊C₄	C₂³	semidirect
325. C₅×Dic₃⋊C₄	C₂³	semidirect
326. C₅×Dic₃⋊C₄	C₂³	semidirect
329. C₃×C₂²⋊Dic₅	C₂³	semidirect
338. C₃×C₄⋊Dic₅	C₂³	semidirect
339. C₃×C₄⋊Dic₅	C₂³	semidirect
340. C₃×C₄⋊Dic₅	C₂³	semidirect
341. C₃×C₄⋊Dic₅	C₂³	semidirect
342. C₃×#683	C₂³	semidirect
343. C₃×#683	C₂³	semidirect
344. C₃×C₄×Dic₅	C₂³	semidirect
345. C₃×C₄×Dic₅	C₂³	semidirect
346. C₃×C₄×Dic₅	C₂³	semidirect
347. Dic₃⋊Dic₅	C₂³	semidirect
348. Dic₃⋊Dic₅	C₂³	semidirect
349. Dic₃⋊Dic₅	C₂³	semidirect
350. Dic₃⋊Dic₅	C₂³	semidirect
351. Dic₃⋊Dic₅	C₂³	semidirect
352. Dic₃⋊Dic₅	C₂³	semidirect
353. Dic₃⋊Dic₅	C₂³	semidirect
354. Dic₃⋊Dic₅	C₂³	semidirect
355. #6669	C₂³	semidirect
356. #6669	C₂³	semidirect
357. #6668	C₂³	semidirect
358. #6668	C₂³	semidirect
371. (C₂×D₃)⋊Dic₅	C₂³	semidirect
372. (C₂×D₃)⋊Dic₅	C₂³	semidirect
381. Dic₃×Dic₅	C₂³	semidirect
382. Dic₃×Dic₅	C₂³	semidirect
383. Dic₃×Dic₅	C₂³	semidirect
384. Dic₃×Dic₅	C₂³	semidirect
385. Dic₃×Dic₅	C₂³	semidirect
386. Dic₃×Dic₅	C₂³	semidirect
399. D₃×#123	D₅	semidirect
435. C₅×#123	C₂×D₃	semidirect
459. D₄×Dic₅	C₂×D₃	semidirect
475. C₂×#685	C₂×D₃	semidirect
483. #4072	C₂×D₃	semidirect
507. #4044	C₂×D₃	semidirect
508. #4044	C₂×D₃	semidirect
516. #4043	C₂×D₃	semidirect
524. #4038	C₂×D₃	semidirect
532. #4032	C₂×D₃	semidirect
540. #4031	C₂×D₃	semidirect
548. #4029	C₂×D₃	semidirect
556. #4027	C₂×D₃	semidirect
564. D₅×C₂²⋊C₄	C₂×D₃	semidirect
572. #4024	C₂×D₃	semidirect
692. C₃×#123	C₂×D₅	semidirect
714. #935	C₂×D₅	semidirect
719. #929	C₂×D₅	semidirect
748. #894	C₂×D₅	semidirect
749. #894	C₂×D₅	semidirect
762. D₃×C₄⋊C₄	C₂×D₅	semidirect
763. D₃×C₄⋊C₄	C₂×D₅	semidirect
766. #886	C₂×D₅	semidirect
775. #883	C₂×D₅	semidirect
776. #883	C₂×D₅	semidirect
804. D₃×C₂²⋊C₄	C₂×D₅	semidirect
805. D₃×C₂²⋊C₄	C₂×D₅	semidirect
883. C₂²×Dic₅	C₂²×D₃	semidirect
898. C₂×Dic₁₀	C₂²×D₃	semidirect
905. C₅×C₄⋊C₄	C₂²×D₃	semidirect
906. C₅×C₄⋊C₄	C₂²×D₃	semidirect
917. C₅×C₂²⋊C₄	C₂²×D₃	semidirect
918. C₅×C₂²⋊C₄	C₂²×D₃	semidirect
930. C₂²⋊Dic₅	C₂²×D₃	semidirect
975. C₄⋊Dic₅	C₂²×D₃	semidirect
976. C₄⋊Dic₅	C₂²×D₃	semidirect
977. C₄⋊Dic₅	C₂²×D₃	semidirect
978. C₄⋊Dic₅	C₂²×D₃	semidirect
985. #683	C₂²×D₃	semidirect
986. #683	C₂²×D₃	semidirect
996. C₄×Dic₅	C₂²×D₃	semidirect
997. C₄×Dic₅	C₂²×D₃	semidirect
998. C₄×Dic₅	C₂²×D₃	semidirect
1161. C₃×C₄⋊C₄	C₂²×D₅	semidirect
1162. C₃×C₄⋊C₄	C₂²×D₅	semidirect
1175. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
1176. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
1192. #217	C₂²×D₅	semidirect
1193. #217	C₂²×D₅	semidirect
1218. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1219. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1220. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1221. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1228. C₄⋊Dic₃	C₂²×D₅	semidirect
1229. C₄⋊Dic₃	C₂²×D₅	semidirect
1242. Dic₃⋊C₄	C₂²×D₅	semidirect
1243. Dic₃⋊C₄	C₂²×D₅	semidirect
1244. Dic₃⋊C₄	C₂²×D₅	semidirect
1245. Dic₃⋊C₄	C₂²×D₅	semidirect
1415. #123	D₃×D₅	semidirect
1524. C₅×D₃	#551	semidirect
1783. C₄⋊C₄	C₂×D₃×D₅	semidirect
1784. C₄⋊C₄	C₂×D₃×D₅	semidirect
1839. C₂²⋊C₄	C₂×D₃×D₅	semidirect
1840. C₂²⋊C₄	C₂×D₃×D₅	semidirect
1853. C₃×C₅	C₂×#551	semidirect
2038. D₃	#65992	direct (N × H)
2039. C₅	D₃×#551	semidirect
2098. C₃	C₂×#65992	semidirect

Maximal subgroups

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

subgroup	index
#11756417	2
C₅×D₃×#123	2
C₃×#65992	2
D₃×#4083	2
#11754838	2
D₃×D₄×Dic₅	2
#11754736	2
C₂×D₃×#685	2
#11754462	2
D₃×#4072	2
#11754401	2
#11753924	2
#11753923	2
D₃×#4044	2
#11753911	2
#11753896	2
D₃×#4043	2
D₃×#4038	2
#11753293	2
#11753292	2
#11753283	2
#11753279	2
D₃×#4032	2
D₃×#4031	2
D₃×#4029	2
D₃×#4027	2
D₃×D₅×C₂²⋊C₄	2
#11753103	2
#11753041	2
D₃×#4024	2
C₂×#65992	3
D₃×#551	5

Subgroups — D3×#65992 #14483261

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₃×#65992 #14483261