Subgroups — D₃×#66044 #14481489

Order 1920.

2264 conjugacy classes of subgroups.

The subgroup lattice has 1996 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756469	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×D₃×#126	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66044	C₂	1	1	yes	maximal, characteristic, complemented
4	D₃×#4044	C₂	1	1	yes	maximal, characteristic, complemented
5	D₃×#4043	C₂	1	1	yes	maximal, characteristic, complemented
6	D₃×#4042	C₂	1	1	yes	maximal, characteristic, complemented
7	D₃×#4040	C₂	1	1	yes	maximal, characteristic, complemented
8	D₃×#4038	C₂	1	1	yes	maximal, characteristic, complemented
9	#11753798	C₂	1	1	yes	maximal, characteristic, complemented
10	#11753790	C₂	1	1	yes	maximal, characteristic, complemented
11	#11753739	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753729	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753628	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753552	C₂	1	1	yes	maximal, characteristic, complemented
15	D₃×#4034	C₂	1	1	yes	maximal, characteristic, complemented
16	D₃×#4032	C₂	1	1	yes	maximal, characteristic, complemented
17	D₃×#4031	C₂	1	1	yes	maximal, characteristic, complemented
18	D₃×#4031	C₂	1	1	yes	maximal, characteristic, complemented
19	D₃×#4030	C₂	1	1	yes	maximal, characteristic
20	D₃×#4027	C₂	1	1	yes	maximal, characteristic, complemented
21	#11753156	C₂	1	1	yes	maximal, characteristic, complemented
22	#11753014	C₂	1	1	yes	maximal, characteristic, complemented
23	#11752965	C₂	1	1	yes	maximal, characteristic, complemented
24	#11752948	C₂	1	1	yes	maximal, characteristic, complemented
25	#11752906	C₂	1	1	yes	maximal, characteristic, complemented
26	D₃×#4024	C₂	1	1	yes	maximal, characteristic, complemented
27	#11752794	C₂	1	1	yes	maximal, characteristic, complemented
28	D₃×#4021	C₂	1	1	yes	maximal, characteristic, complemented
29	#11752621	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752589	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×D₃×Dic₁₀	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#66044	—	3	1	no	maximal, Hall
33	C₂×D₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
34	C₂×D₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
35	C₂²×D₃×Dic₅	C₂²	1	1	yes	characteristic
36	C₂×D₃×D₂₀	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
39	C₂×D₃×Dic₁₀	C₂²	1	1	yes	characteristic
40	C₂×D₃×Dic₁₀	C₂²	1	1	yes	characteristic
41	C₂×D₃×Dic₁₀	C₂²	1	1	yes	characteristic
42	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
43	#91787	C₂²	1	1	yes	characteristic, complemented
44	#91786	C₂²	1	1	yes	characteristic, complemented
45	#91785	C₂²	1	1	yes	characteristic, complemented
46	#91783	C₂²	1	1	yes	characteristic, complemented
47	#91781	C₂²	1	1	yes	characteristic, complemented
48	#91777	C₂²	1	1	yes	characteristic, complemented
49	#91775	C₂²	1	1	yes	characteristic, complemented
50	#91774	C₂²	1	1	yes	characteristic, complemented
51	#91774	C₂²	1	1	yes	characteristic, complemented
52	#91773	C₂²	1	1	yes	characteristic
53	#91770	C₂²	1	1	yes	characteristic, complemented
54	#91767	C₂²	1	1	yes	characteristic, complemented
55	#91764	C₂²	1	1	yes	characteristic, complemented
56	C₄×Dic₃₀	C₂²	1	1	yes	characteristic, complemented
57	C₅×#898	C₂²	1	1	yes	characteristic, complemented
58	C₅×#898	C₂²	1	1	yes	characteristic, complemented
59	C₅×#898	C₂²	1	1	yes	characteristic, complemented
60	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
63	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₅×#879	C₂²	1	1	yes	characteristic, complemented
67	C₅×#879	C₂²	1	1	yes	characteristic, complemented
68	C₅×#879	C₂²	1	1	yes	characteristic, complemented
69	C₅×#876	C₂²	1	1	yes	characteristic, complemented
70	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
71	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
72	C₃×#4043	C₂²	1	1	yes	characteristic, complemented
73	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
74	C₃×#4040	C₂²	1	1	yes	characteristic, complemented
75	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4034	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4032	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
80	C₃×#4030	C₂²	1	1	yes	characteristic
81	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
82	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
83	C₃×#4021	C₂²	1	1	yes	characteristic, complemented
84	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
85	#91576	C₂²	1	1	yes	characteristic, complemented
86	#91574	C₂²	1	1	yes	characteristic, complemented
87	#91559	C₂²	1	1	yes	characteristic, complemented
88	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
89	#91552	C₂²	1	1	yes	characteristic, complemented
90	#91550	C₂²	1	1	yes	characteristic
91	#91546	C₂²	1	1	yes	characteristic, complemented
92	#91537	C₂²	1	1	yes	characteristic, complemented
93	#91534	C₂²	1	1	yes	characteristic, complemented
94	#91534	C₂²	1	1	yes	characteristic, complemented
95	#91533	C₂²	1	1	yes	characteristic
96	#91526	C₂²	1	1	yes	characteristic, complemented
97	#91526	C₂²	1	1	yes	characteristic, complemented
98	D₃×#685	C₂²	1	1	yes	characteristic
99	D₃×#685	C₂²	1	1	yes	characteristic
100	D₃×#685	C₂²	1	1	yes	characteristic
101	D₃×#685	C₂²	1	1	yes	characteristic
102	D₃×#685	C₂²	1	1	yes	characteristic
103	D₃×#685	C₂²	1	1	yes	characteristic
104	D₃×#685	C₂²	1	1	yes	characteristic
105	D₃×#685	C₂²	1	1	yes	characteristic
106	#91470	C₂²	1	1	yes	characteristic, complemented
107	#91468	C₂²	1	1	yes	characteristic, complemented
108	C₄×#1204	C₂²	1	1	yes	characteristic, complemented
109	C₄×#1204	C₂²	1	1	yes	characteristic, complemented
110	#91464	C₂²	1	1	yes	characteristic, complemented
111	#91464	C₂²	1	1	yes	characteristic, complemented
112	#91462	C₂²	1	1	yes	characteristic, complemented
113	#91462	C₂²	1	1	yes	characteristic, complemented
114	#91461	C₂²	1	1	yes	characteristic
115	#91457	C₂²	1	1	yes	characteristic, complemented
116	#91457	C₂²	1	1	yes	characteristic, complemented
117	#91448	C₂²	1	1	yes	characteristic
118	#91442	C₂²	1	1	yes	characteristic, complemented
119	#91440	C₂²	1	1	yes	characteristic, complemented
120	#91436	C₂²	1	1	yes	characteristic, complemented
121	#91433	C₂²	1	1	yes	characteristic, complemented
122	#91432	C₂²	1	1	yes	characteristic, complemented
123	#91431	C₂²	1	1	yes	characteristic, complemented
124	#91430	C₂²	1	1	yes	characteristic, complemented
125	#91429	C₂²	1	1	yes	characteristic, complemented
126	#91429	C₂²	1	1	yes	characteristic, complemented
127	#91427	C₂²	1	1	yes	characteristic, complemented
128	#91427	C₂²	1	1	yes	characteristic, complemented
129	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
130	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
131	D₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
132	#91422	C₂²	1	1	yes	characteristic, complemented
133	#91422	C₂²	1	1	yes	characteristic, complemented
134	#91420	C₂²	1	1	yes	characteristic
135	#91419	C₂²	1	1	yes	characteristic, complemented
136	#91417	C₂²	1	1	yes	characteristic, complemented
137	#91413	C₂²	1	1	yes	characteristic, complemented
138	#91411	C₂²	1	1	yes	characteristic, complemented
139	#91410	C₂²	1	1	yes	characteristic, complemented
140	#91408	C₂²	1	1	yes	characteristic
141	#91407	C₂²	1	1	yes	characteristic, complemented
142	#91406	C₂²	1	1	yes	characteristic, complemented
143	#91405	C₂²	1	1	yes	characteristic, complemented
144	#91402	C₂²	1	1	yes	characteristic, complemented
145	#91402	C₂²	1	1	yes	characteristic, complemented
146	D₃×#683	C₂²	1	1	yes	characteristic
147	D₃×#683	C₂²	1	1	yes	characteristic
148	D₃×#683	C₂²	1	1	yes	characteristic
149	D₃×#683	C₂²	1	1	yes	characteristic
150	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
151	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
152	C₄×D₃×Dic₅	C₂²	1	1	yes	characteristic
153	#91394	C₂²	1	1	yes	characteristic, complemented
154	#91394	C₂²	1	1	yes	characteristic, complemented
155	#91390	C₂²	1	1	yes	characteristic, complemented
156	#91387	C₂²	1	1	yes	characteristic, complemented
157	#91377	C₂²	1	1	yes	characteristic, complemented
158	#91374	C₂²	1	1	yes	characteristic, complemented
159	#91366	C₂²	1	1	yes	characteristic, complemented
160	#91364	C₂²	1	1	yes	characteristic, complemented
161	#91362	C₂²	1	1	yes	characteristic, complemented
162	#91361	C₂²	1	1	yes	characteristic, complemented
163	#91360	C₂²	1	1	yes	characteristic, complemented
164	#91358	C₂²	1	1	yes	characteristic, complemented
165	#91356	C₂²	1	1	yes	characteristic, complemented
166	#91354	C₂²	1	1	yes	characteristic, complemented
167	#91353	C₂²	1	1	yes	characteristic, complemented
168	#91353	C₂²	1	1	yes	characteristic, complemented
169	#91353	C₂²	1	1	yes	characteristic, complemented
170	#91353	C₂²	1	1	yes	characteristic, complemented
171	#91350	C₂²	1	1	yes	characteristic, complemented
172	#91350	C₂²	1	1	yes	characteristic, complemented
173	#91349	C₂²	1	1	yes	characteristic, complemented
174	#91348	C₂²	1	1	yes	characteristic, complemented
175	#91347	C₂²	1	1	yes	characteristic, complemented
176	#91345	C₂²	1	1	yes	characteristic, complemented
177	#91340	C₂²	1	1	yes	characteristic, complemented
178	#91337	C₂²	1	1	yes	characteristic, complemented
179	Dic₃×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
180	#91328	C₂²	1	1	yes	characteristic, complemented
181	#91328	C₂²	1	1	yes	characteristic, complemented
182	#91327	C₂²	1	1	yes	characteristic, complemented
183	#91327	C₂²	1	1	yes	characteristic, complemented
184	#91326	C₂²	1	1	yes	characteristic, complemented
185	#91326	C₂²	1	1	yes	characteristic, complemented
186	#91324	C₂²	1	1	yes	characteristic, complemented
187	#91324	C₂²	1	1	yes	characteristic, complemented
188	D₃×#542	—	5	1	no	maximal, Hall
189	C₂×C₅×#126	—	3	1	no	—
190	#66044	—	3	1	no	—
191	#66044	—	3	1	no	—
192	#66044	—	3	1	no	—
193	#66044	—	3	1	no	—
194	#66044	—	3	1	no	—
195	#66044	—	3	1	no	—
196	#66044	—	3	1	no	—
197	#66044	—	3	1	no	—
198	#66044	—	3	1	no	—
199	#66044	—	3	1	no	—
200	#66044	—	3	1	no	—
201	#66044	—	3	1	no	—
202	#66044	—	3	1	no	—
203	#66044	—	3	1	no	—
204	#66044	—	3	1	no	—
205	#66044	D₃	1	1	yes	characteristic, direct product factor
206	C₂×#4044	—	3	1	no	—
207	C₂×#4043	—	3	1	no	—
208	C₂×#4042	—	3	1	no	—
209	C₂×#4040	—	3	1	no	—
210	C₂×#4038	—	3	1	no	—
211	C₂×#4034	—	3	1	no	—
212	C₂×#4032	—	3	1	no	—
213	C₂×#4031	—	3	1	no	—
214	C₂×#4031	—	3	1	no	—
215	C₂×#4030	—	3	1	no	—
216	C₂×#4027	—	3	1	no	—
217	C₂×#4024	—	3	1	no	—
218	C₂×#4021	—	3	1	no	—
219	C₂×C₄×Dic₁₀	—	3	1	no	—
220	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
221	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
222	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
223	C₂×#1220	C₂³	1	1	yes	characteristic
224	C₂×#1220	C₂³	1	1	yes	characteristic
225	C₂²×Dic₁₅	C₂³	1	1	yes	characteristic
226	C₂×D₆₀	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
229	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
230	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
231	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
232	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
233	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
234	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
235	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
236	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
237	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
240	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
241	C₂×C₃×D₂₀	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×Dic₁₀	C₂³	1	1	yes	characteristic
245	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
246	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
247	D₃×C₂²⋊D₅	—	2	4	no	—
248	D₃×C₂²⋊D₅	—	4	2	no	—
249	C₂×#1204	C₂³	1	1	yes	characteristic
250	C₂×#1204	C₂³	1	1	yes	characteristic
251	C₂×#1204	C₂³	1	1	yes	characteristic
252	C₂×#1204	C₂³	1	1	yes	characteristic
253	C₂×#1204	C₂³	1	1	yes	characteristic
254	C₂×#1204	C₂³	1	1	yes	characteristic
255	C₂×#1203	C₂³	1	1	yes	characteristic
256	C₂×#1203	C₂³	1	1	yes	characteristic
257	C₂×#1202	C₂³	1	1	yes	characteristic
258	C₂×#1202	C₂³	1	1	yes	characteristic
259	C₂×#1201	C₂³	1	1	yes	characteristic
260	C₂×#1201	C₂³	1	1	yes	characteristic
261	C₂×#1200	C₂³	1	1	yes	characteristic
262	C₂×#1200	C₂³	1	1	yes	characteristic
263	C₂×D₃×Dic₅	—	4	2	no	—
264	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
265	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
266	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
267	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
268	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
269	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
270	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
271	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
272	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
273	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
274	D₃×D₂₀	—	4	2	no	—
275	C₄×D₃×D₅	—	2	4	no	—
276	C₄×D₃×D₅	—	4	2	no	—
277	D₃×Dic₁₀	—	2	4	no	—
278	D₃×Dic₁₀	—	4	2	no	—
279	D₃×Dic₁₀	—	4	2	no	—
280	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
287	#6719	C₂³	1	1	yes	characteristic
288	#6714	C₂³	1	1	yes	characteristic
289	#6714	C₂³	1	1	yes	characteristic
290	#6714	C₂³	1	1	yes	characteristic
291	#6714	C₂³	1	1	yes	characteristic
292	#6714	C₂³	1	1	yes	characteristic
293	#6714	C₂³	1	1	yes	characteristic
294	#6714	C₂³	1	1	yes	characteristic
295	#6714	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
297	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
299	#6712	C₂³	1	1	yes	characteristic
300	#6712	C₂³	1	1	yes	characteristic
301	#6712	C₂³	1	1	yes	characteristic
302	#6712	C₂³	1	1	yes	characteristic
303	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
305	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
306	C₅×#217	C₂³	1	1	yes	characteristic
307	C₅×#217	C₂³	1	1	yes	characteristic
308	C₅×#217	C₂³	1	1	yes	characteristic
309	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
310	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
311	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
312	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
313	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
314	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
315	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
316	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
317	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
318	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
319	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
320	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
321	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
322	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
323	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
324	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
325	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
326	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
327	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
328	C₃×#685	C₂³	1	1	yes	characteristic
329	C₃×#685	C₂³	1	1	yes	characteristic
330	C₃×#685	C₂³	1	1	yes	characteristic
331	C₃×#685	C₂³	1	1	yes	characteristic
332	C₃×#685	C₂³	1	1	yes	characteristic
333	C₃×#685	C₂³	1	1	yes	characteristic
334	C₃×#685	C₂³	1	1	yes	characteristic
335	C₃×#685	C₂³	1	1	yes	characteristic
336	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
337	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
338	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
339	C₃×#683	C₂³	1	1	yes	characteristic
340	C₃×#683	C₂³	1	1	yes	characteristic
341	C₃×#683	C₂³	1	1	yes	characteristic
342	C₃×#683	C₂³	1	1	yes	characteristic
343	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
344	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
345	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
346	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
347	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
348	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
349	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
350	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
351	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
352	#6669	C₂³	1	1	yes	characteristic
353	#6669	C₂³	1	1	yes	characteristic
354	#6669	C₂³	1	1	yes	characteristic
355	#6669	C₂³	1	1	yes	characteristic
356	#6668	C₂³	1	1	yes	characteristic
357	#6668	C₂³	1	1	yes	characteristic
358	#6668	C₂³	1	1	yes	characteristic
359	#6668	C₂³	1	1	yes	characteristic
360	#6667	C₂³	1	1	yes	characteristic
361	#6667	C₂³	1	1	yes	characteristic
362	#6667	C₂³	1	1	yes	characteristic
363	#6667	C₂³	1	1	yes	characteristic
364	#6667	C₂³	1	1	yes	characteristic
365	#6667	C₂³	1	1	yes	characteristic
366	#6667	C₂³	1	1	yes	characteristic
367	#6667	C₂³	1	1	yes	characteristic
368	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
369	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
370	#6665	C₂³	1	1	yes	characteristic
371	#6665	C₂³	1	1	yes	characteristic
372	#6665	C₂³	1	1	yes	characteristic
373	#6665	C₂³	1	1	yes	characteristic
374	#6665	C₂³	1	1	yes	characteristic
375	#6665	C₂³	1	1	yes	characteristic
376	#6665	C₂³	1	1	yes	characteristic
377	#6665	C₂³	1	1	yes	characteristic
378	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
379	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
380	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
381	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
382	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
383	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
384	C₃×#542	—	5	1	no	—
385	#5733	—	5	1	no	—
386	D₃×C₄⋊Q₈	—	5	1	no	—
387	#5710	—	5	1	no	—
388	#5710	—	5	1	no	—
389	D₃×#126	—	5	1	no	—
390	D₃×#126	D₅	1	1	yes	characteristic, complemented
391	#5682	—	5	1	no	—
392	D₃×#124	—	5	1	no	—
393	D₃×#124	—	5	1	no	—
394	D₃×#124	—	5	1	no	—
395	#5669	—	5	1	no	—
396	#5669	—	5	1	no	—
397	#5662	—	5	1	no	—
398	#5662	—	5	1	no	—
399	D₃×#123	—	5	1	no	—
400	D₃×#123	—	5	1	no	—
401	#5643	—	5	1	no	—
402	#5640	—	5	1	no	—
403	#5640	—	5	1	no	—
404	D₃×C₂²⋊Q₈	—	5	1	no	—
405	D₃×C₂²⋊Q₈	—	5	1	no	—
406	D₃×C₂²⋊Q₈	—	5	1	no	—
407	D₃×#121	—	5	1	no	—
408	#5603	—	5	1	no	—
409	#5582	—	5	1	no	—
410	C₄×D₃×Q₈	—	5	1	no	—
411	#5561	—	5	1	no	—
412	C₄×D₃×D₄	—	5	1	no	—
413	#5534	—	5	1	no	—
414	D₃×#117	—	5	1	no	—
415	C₂²×C₂²⋊D₅	—	3	1	no	—
416	C₂²×C₂²⋊D₅	—	3	1	no	—
417	C₂³×Dic₅	—	3	1	no	—
418	C₂²×D₂₀	—	3	1	no	—
419	C₂²×C₄×D₅	—	3	1	no	—
420	C₂²×C₄×D₅	—	3	1	no	—
421	C₂²×Dic₁₀	—	3	1	no	—
422	C₂²×Dic₁₀	—	3	1	no	—
423	C₂²×Dic₁₀	—	3	1	no	—
424	C₅×#126	—	3	1	no	—
425	C₅×#126	—	3	1	no	—
426	C₅×#126	—	3	1	no	—
427	C₅×#126	—	3	1	no	—
428	C₅×#126	—	3	1	no	—
429	C₅×#126	—	3	1	no	—
430	C₅×#126	—	3	1	no	—
431	C₅×#126	C₂×D₃	1	1	yes	characteristic, complemented
432	C₂×C₅×C₄⋊C₄	—	3	1	no	—
433	C₂×C₅×C₄⋊C₄	—	3	1	no	—
434	C₂×C₅×C₄⋊C₄	—	3	1	no	—
435	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
436	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
437	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
438	C₂×C₄²×C₅	—	3	1	no	—
439	C₂×C₂²⋊Dic₅	—	3	1	no	—
440	C₂×#685	—	3	1	no	—
441	C₂×#685	—	3	1	no	—
442	C₂×#685	—	3	1	no	—
443	C₂×#685	—	3	1	no	—
444	C₂×#685	—	3	1	no	—
445	C₂×#685	—	3	1	no	—
446	C₂×#685	—	3	1	no	—
447	C₂×#685	—	3	1	no	—
448	C₂×C₄⋊Dic₅	—	3	1	no	—
449	C₂×C₄⋊Dic₅	—	3	1	no	—
450	C₂×C₄⋊Dic₅	—	3	1	no	—
451	C₂×#683	—	3	1	no	—
452	C₂×#683	—	3	1	no	—
453	C₂×#683	—	3	1	no	—
454	C₂×#683	—	3	1	no	—
455	C₂×C₄×Dic₅	—	3	1	no	—
456	C₂×C₄×Dic₅	—	3	1	no	—
457	C₂×C₄×Dic₅	—	3	1	no	—
458	#4044	—	3	1	no	—
459	#4044	—	3	1	no	—
460	#4044	—	3	1	no	—
461	#4044	—	3	1	no	—
462	#4044	—	3	1	no	—
463	#4044	—	3	1	no	—
464	#4044	—	3	1	no	—
465	#4044	C₂×D₃	1	1	yes	characteristic, complemented
466	#4043	—	3	1	no	—
467	#4043	—	3	1	no	—
468	#4043	—	3	1	no	—
469	#4043	—	3	1	no	—
470	#4043	—	3	1	no	—
471	#4043	—	3	1	no	—
472	#4043	—	3	1	no	—
473	#4043	C₂×D₃	1	1	yes	characteristic, complemented
474	#4042	—	3	1	no	—
475	#4042	—	3	1	no	—
476	#4042	—	3	1	no	—
477	#4042	—	3	1	no	—
478	#4042	—	3	1	no	—
479	#4042	—	3	1	no	—
480	#4042	—	3	1	no	—
481	#4042	C₂×D₃	1	1	yes	characteristic, complemented
482	#4040	—	3	1	no	—
483	#4040	—	3	1	no	—
484	#4040	—	3	1	no	—
485	#4040	—	3	1	no	—
486	#4040	—	3	1	no	—
487	#4040	—	3	1	no	—
488	#4040	—	3	1	no	—
489	#4040	C₂×D₃	1	1	yes	characteristic, complemented
490	#4038	—	3	1	no	—
491	#4038	—	3	1	no	—
492	#4038	—	3	1	no	—
493	#4038	—	3	1	no	—
494	#4038	—	3	1	no	—
495	#4038	—	3	1	no	—
496	#4038	—	3	1	no	—
497	#4038	C₂×D₃	1	1	yes	characteristic, complemented
498	#4034	—	3	1	no	—
499	#4034	—	3	1	no	—
500	#4034	—	3	1	no	—
501	#4034	—	3	1	no	—
502	#4034	—	3	1	no	—
503	#4034	—	3	1	no	—
504	#4034	—	3	1	no	—
505	#4034	C₂×D₃	1	1	yes	characteristic, complemented
506	#4032	—	3	1	no	—
507	#4032	—	3	1	no	—
508	#4032	—	3	1	no	—
509	#4032	—	3	1	no	—
510	#4032	—	3	1	no	—
511	#4032	—	3	1	no	—
512	#4032	—	3	1	no	—
513	#4032	C₂×D₃	1	1	yes	characteristic, complemented
514	#4031	—	3	1	no	—
515	#4031	—	3	1	no	—
516	#4031	—	3	1	no	—
517	#4031	—	3	1	no	—
518	#4031	—	3	1	no	—
519	#4031	—	3	1	no	—
520	#4031	—	3	1	no	—
521	#4031	—	3	1	no	—
522	#4031	—	3	1	no	—
523	#4031	—	3	1	no	—
524	#4031	—	3	1	no	—
525	#4031	—	3	1	no	—
526	#4031	—	3	1	no	—
527	#4031	—	3	1	no	—
528	#4031	C₂×D₃	1	1	yes	characteristic, complemented
529	#4031	C₂×D₃	1	1	yes	characteristic, complemented
530	#4030	—	3	1	no	—
531	#4030	—	3	1	no	—
532	#4030	—	3	1	no	—
533	#4030	—	3	1	no	—
534	#4030	—	3	1	no	—
535	#4030	—	3	1	no	—
536	#4030	—	3	1	no	—
537	#4030	C₂×D₃	1	1	yes	characteristic
538	#4027	—	3	1	no	—
539	#4027	—	3	1	no	—
540	#4027	—	3	1	no	—
541	#4027	—	3	1	no	—
542	#4027	—	3	1	no	—
543	#4027	—	3	1	no	—
544	#4027	—	3	1	no	—
545	#4027	C₂×D₃	1	1	yes	characteristic, complemented
546	#4024	—	3	1	no	—
547	#4024	—	3	1	no	—
548	#4024	—	3	1	no	—
549	#4024	—	3	1	no	—
550	#4024	—	3	1	no	—
551	#4024	—	3	1	no	—
552	#4024	—	3	1	no	—
553	#4024	C₂×D₃	1	1	yes	characteristic, complemented
554	#4021	—	3	1	no	—
555	#4021	—	3	1	no	—
556	#4021	—	3	1	no	—
557	#4021	—	3	1	no	—
558	#4021	—	3	1	no	—
559	#4021	—	3	1	no	—
560	#4021	—	3	1	no	—
561	#4021	C₂×D₃	1	1	yes	characteristic, complemented
562	C₄×Dic₁₀	—	3	1	no	—
563	C₄×Dic₁₀	—	3	1	no	—
564	C₄×Dic₁₀	—	3	1	no	—
565	C₄×Dic₁₀	—	3	1	no	—
566	C₄×Dic₁₀	—	3	1	no	—
567	C₄×Dic₁₀	—	3	1	no	—
568	C₄×Dic₁₀	—	3	1	no	—
569	C₄×Dic₁₀	C₂×D₃	1	1	yes	characteristic, complemented
570	C₂×#542	—	15	1	no	Sylow
571	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
572	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
573	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
574	C₂²×C₅×D₃	—	2	2	no	—
575	C₂²×C₅×D₃	—	2	2	no	—
576	C₂²×C₅×D₃	—	2	2	no	—
577	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
579	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
580	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
581	C₂×D₃×D₅	—	2	2	no	—
582	C₂×D₃×D₅	—	2	2	no	—
583	C₂×D₃×D₅	—	2	2	no	—
584	C₂×D₃×D₅	—	2	2	no	—
585	C₂×D₃×D₅	—	2	2	no	—
586	C₂×D₃×D₅	—	2	2	no	—
587	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
588	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
589	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
590	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
591	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
592	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
593	#1220	—	2	2	no	—
594	#1220	—	4	1	no	—
595	C₂×Dic₁₅	—	4	1	no	—
596	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
602	D₆₀	—	4	1	no	—
603	C₄×D₁₅	—	2	2	no	—
604	C₄×D₁₅	—	4	1	no	—
605	Dic₃₀	—	2	2	no	—
606	Dic₃₀	—	4	1	no	—
607	Dic₃₀	—	4	1	no	—
608	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
614	C₄×C₅×D₃	—	2	2	no	—
615	C₄×C₅×D₃	—	2	2	no	—
616	C₄×C₅×D₃	—	2	2	no	—
617	C₄×C₅×D₃	—	2	2	no	—
618	C₄×C₅×D₃	—	2	2	no	—
619	C₄×C₅×D₃	—	2	2	no	—
620	C₃×C₂²⋊D₅	—	2	2	no	—
621	C₃×C₂²⋊D₅	—	4	1	no	—
622	C₂×C₃×Dic₅	—	4	1	no	—
623	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
624	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
627	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
628	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
629	C₃×D₂₀	—	4	1	no	—
630	C₃×C₄×D₅	—	2	2	no	—
631	C₃×C₄×D₅	—	4	1	no	—
632	C₃×Dic₁₀	—	2	2	no	—
633	C₃×Dic₁₀	—	4	1	no	—
634	C₃×Dic₁₀	—	4	1	no	—
635	#1204	—	2	2	no	—
636	#1204	—	2	2	no	—
637	#1204	—	4	1	no	—
638	#1204	—	4	1	no	—
639	#1204	—	4	1	no	—
640	#1204	—	4	1	no	—
641	#1203	—	2	2	no	—
642	#1203	—	4	1	no	—
643	#1202	—	4	1	no	—
644	#1202	—	4	1	no	—
645	#1201	—	2	2	no	—
646	#1201	—	4	1	no	—
647	#1200	—	2	2	no	—
648	#1200	—	4	1	no	—
649	D₃×Dic₅	—	2	2	no	—
650	D₃×Dic₅	—	2	2	no	—
651	D₃×Dic₅	—	2	2	no	—
652	D₃×Dic₅	—	2	2	no	—
653	D₃×Dic₅	—	2	2	no	—
654	D₃×Dic₅	—	4	1	no	—
655	D₃×Dic₅	—	4	1	no	—
656	D₃×Dic₅	#41	1	4	yes	—
657	D₅×Dic₃	—	2	2	no	—
658	D₅×Dic₃	—	4	1	no	—
659	C₂×D₃×Q₈	—	5	1	no	—
660	C₂×D₃×Q₈	—	5	1	no	—
661	C₂×D₃×Q₈	—	5	1	no	—
662	C₂×D₃×D₄	—	5	1	no	—
663	C₂×D₃×D₄	—	5	1	no	—
664	C₂×D₃×D₄	—	5	1	no	—
665	C₂²×C₄×D₃	—	5	1	no	—
666	C₂²×C₄×D₃	—	5	1	no	—
667	C₂²×C₄×D₃	—	5	1	no	—
668	C₃×C₄⋊Q₈	—	5	1	no	—
669	C₃×#126	—	5	1	no	—
670	C₃×#126	C₂×D₅	1	1	yes	characteristic, complemented
671	C₃×#124	—	5	1	no	—
672	C₃×#124	—	5	1	no	—
673	C₃×#124	—	5	1	no	—
674	C₃×#123	—	5	1	no	—
675	C₃×#123	—	5	1	no	—
676	C₃×C₂²⋊Q₈	—	5	1	no	—
677	C₃×C₂²⋊Q₈	—	5	1	no	—
678	C₃×C₂²⋊Q₈	—	5	1	no	—
679	C₃×#121	—	5	1	no	—
680	C₃×C₄×Q₈	—	5	1	no	—
681	C₃×C₄×D₄	—	5	1	no	—
682	C₃×#117	—	5	1	no	—
683	#947	—	5	1	no	—
684	#947	—	5	1	no	—
685	#947	—	5	1	no	—
686	#946	—	5	1	no	—
687	#946	—	5	1	no	—
688	#946	—	5	1	no	—
689	Q₈×Dic₃	—	5	1	no	—
690	#944	—	5	1	no	—
691	#944	—	5	1	no	—
692	#939	—	5	1	no	—
693	#939	—	5	1	no	—
694	#938	—	5	1	no	—
695	#936	—	5	1	no	—
696	#936	—	5	1	no	—
697	#936	—	5	1	no	—
698	#935	—	5	1	no	—
699	#935	—	5	1	no	—
700	D₄×Dic₃	—	5	1	no	—
701	#930	—	5	1	no	—
702	#929	—	5	1	no	—
703	#929	—	5	1	no	—
704	C₄×#67	—	5	1	no	—
705	C₄×#67	—	5	1	no	—
706	#926	—	5	1	no	—
707	#924	—	5	1	no	—
708	#924	—	5	1	no	—
709	#924	—	5	1	no	—
710	#898	—	5	1	no	—
711	#898	—	5	1	no	—
712	#898	—	5	1	no	—
713	#898	C₂×D₅	1	1	yes	characteristic, complemented
714	#898	C₂×D₅	1	1	yes	characteristic, complemented
715	#898	C₂×D₅	1	1	yes	characteristic, complemented
716	#897	—	5	1	no	—
717	#897	—	5	1	no	—
718	#897	—	5	1	no	—
719	#896	—	5	1	no	—
720	#896	—	5	1	no	—
721	#896	—	5	1	no	—
722	#896	—	5	1	no	—
723	#896	—	5	1	no	—
724	#896	—	5	1	no	—
725	#895	—	5	1	no	—
726	#894	—	5	1	no	—
727	#894	—	5	1	no	—
728	#894	—	5	1	no	—
729	#894	—	5	1	no	—
730	#893	—	5	1	no	—
731	#892	—	5	1	no	—
732	#892	—	5	1	no	—
733	D₃×C₄⋊C₄	—	5	1	no	—
734	D₃×C₄⋊C₄	—	5	1	no	—
735	D₃×C₄⋊C₄	—	5	1	no	—
736	D₃×C₄⋊C₄	—	5	1	no	—
737	D₃×C₄⋊C₄	—	5	1	no	—
738	D₃×C₄⋊C₄	—	5	1	no	—
739	D₃×C₄⋊C₄	—	5	1	no	—
740	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
741	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
742	D₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
743	#888	—	5	1	no	—
744	#888	—	5	1	no	—
745	#888	—	5	1	no	—
746	#888	—	5	1	no	—
747	#887	—	5	1	no	—
748	#887	—	5	1	no	—
749	#887	—	5	1	no	—
750	#886	—	5	1	no	—
751	#886	—	5	1	no	—
752	#885	—	5	1	no	—
753	#885	—	5	1	no	—
754	#885	—	5	1	no	—
755	#885	—	5	1	no	—
756	#885	—	5	1	no	—
757	#885	—	5	1	no	—
758	#885	—	5	1	no	—
759	#885	—	5	1	no	—
760	#885	—	5	1	no	—
761	#885	—	5	1	no	—
762	#885	—	5	1	no	—
763	#885	—	5	1	no	—
764	#884	—	5	1	no	—
765	#884	—	5	1	no	—
766	#883	—	5	1	no	—
767	#883	—	5	1	no	—
768	#883	—	5	1	no	—
769	#883	—	5	1	no	—
770	#67⋊C₄	—	5	1	no	—
771	#67⋊C₄	—	5	1	no	—
772	D₃×C₂²⋊C₄	—	5	1	no	—
773	D₃×C₂²⋊C₄	—	5	1	no	—
774	D₃×C₂²⋊C₄	—	5	1	no	—
775	D₃×C₂²⋊C₄	—	5	1	no	—
776	D₃×C₂²⋊C₄	—	5	1	no	—
777	D₃×C₂²⋊C₄	—	5	1	no	—
778	D₃×C₂²⋊C₄	—	5	1	no	—
779	D₃×C₂²⋊C₄	—	5	1	no	—
780	D₃×C₂²⋊C₄	—	5	1	no	—
781	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
782	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
783	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
784	#879	—	5	1	no	—
785	#879	—	5	1	no	—
786	#879	—	5	1	no	—
787	#879	C₂×D₅	1	1	yes	characteristic, complemented
788	#879	C₂×D₅	1	1	yes	characteristic, complemented
789	#879	C₂×D₅	1	1	yes	characteristic, complemented
790	#878	—	5	1	no	—
791	#878	—	5	1	no	—
792	#878	—	5	1	no	—
793	#878	—	5	1	no	—
794	#878	—	5	1	no	—
795	#878	—	5	1	no	—
796	#877	—	5	1	no	—
797	#877	—	5	1	no	—
798	#876	—	5	1	no	—
799	#876	C₂×D₅	1	1	yes	characteristic, complemented
800	#875	—	5	1	no	—
801	#875	—	5	1	no	—
802	#875	—	5	1	no	—
803	C₄×D₁₂	—	5	1	no	—
804	#872	—	5	1	no	—
805	#872	—	5	1	no	—
806	C₄²×D₃	—	5	1	no	—
807	C₄²×D₃	—	5	1	no	—
808	C₄²×D₃	—	5	1	no	—
809	C₄²×D₃	C₂×D₅	1	1	yes	characteristic
810	#869	—	5	1	no	—
811	C₄×Dic₆	—	5	1	no	—
812	C₄×Dic₆	—	5	1	no	—
813	C₄×Dic₆	—	5	1	no	—
814	C₂⁴×C₅	—	3	1	no	—
815	C₂³×D₅	—	3	1	no	—
816	C₂³×D₅	—	3	1	no	—
817	C₂²×C₄×C₅	—	3	1	no	—
818	C₂²×C₄×C₅	—	3	1	no	—
819	C₂²×C₄×C₅	—	3	1	no	—
820	C₂²×C₄×C₅	—	3	1	no	—
821	C₂²×C₄×C₅	—	3	1	no	—
822	C₂²×C₄×C₅	—	3	1	no	—
823	C₂×C₂²⋊D₅	—	3	1	no	—
824	C₂×C₂²⋊D₅	—	3	1	no	—
825	C₂×C₂²⋊D₅	—	3	1	no	—
826	C₂×C₂²⋊D₅	—	3	1	no	—
827	C₂×C₂²⋊D₅	—	3	1	no	—
828	C₂×C₂²⋊D₅	—	3	1	no	—
829	C₂×C₂²⋊D₅	—	6	4	no	—
830	C₂×C₂²⋊D₅	—	12	2	no	—
831	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
832	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
833	C₂²×Dic₅	—	3	1	no	—
834	C₂²×Dic₅	—	3	1	no	—
835	C₂²×Dic₅	—	3	1	no	—
836	C₂²×Dic₅	—	3	1	no	—
837	C₂²×Dic₅	—	3	1	no	—
838	C₂²×Dic₅	—	3	1	no	—
839	C₂²×Dic₅	—	3	1	no	—
840	C₂²×Dic₅	—	3	1	no	—
841	C₂²×Dic₅	—	3	1	no	—
842	C₂²×Dic₅	—	12	2	no	—
843	C₂²×Dic₅	C₂²×D₃	1	1	yes	characteristic
844	C₂×D₂₀	—	3	1	no	—
845	C₂×D₂₀	—	3	1	no	—
846	C₂×D₂₀	—	3	1	no	—
847	C₂×D₂₀	—	12	2	no	—
848	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
849	C₂×C₄×D₅	—	3	1	no	—
850	C₂×C₄×D₅	—	3	1	no	—
851	C₂×C₄×D₅	—	3	1	no	—
852	C₂×C₄×D₅	—	3	1	no	—
853	C₂×C₄×D₅	—	3	1	no	—
854	C₂×C₄×D₅	—	3	1	no	—
855	C₂×C₄×D₅	—	6	4	no	—
856	C₂×C₄×D₅	—	12	2	no	—
857	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
858	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
859	C₂×Dic₁₀	—	3	1	no	—
860	C₂×Dic₁₀	—	3	1	no	—
861	C₂×Dic₁₀	—	3	1	no	—
862	C₂×Dic₁₀	—	3	1	no	—
863	C₂×Dic₁₀	—	3	1	no	—
864	C₂×Dic₁₀	—	3	1	no	—
865	C₂×Dic₁₀	—	3	1	no	—
866	C₂×Dic₁₀	—	3	1	no	—
867	C₂×Dic₁₀	—	3	1	no	—
868	C₂×Dic₁₀	—	6	4	no	—
869	C₂×Dic₁₀	—	12	2	no	—
870	C₂×Dic₁₀	—	12	2	no	—
871	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
872	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
873	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic
874	C₅×C₄⋊C₄	—	3	1	no	—
875	C₅×C₄⋊C₄	—	3	1	no	—
876	C₅×C₄⋊C₄	—	3	1	no	—
877	C₅×C₄⋊C₄	—	3	1	no	—
878	C₅×C₄⋊C₄	—	3	1	no	—
879	C₅×C₄⋊C₄	—	3	1	no	—
880	C₅×C₄⋊C₄	—	3	1	no	—
881	C₅×C₄⋊C₄	—	3	1	no	—
882	C₅×C₄⋊C₄	—	3	1	no	—
883	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
884	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
885	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
886	C₅×C₂²⋊C₄	—	3	1	no	—
887	C₅×C₂²⋊C₄	—	3	1	no	—
888	C₅×C₂²⋊C₄	—	3	1	no	—
889	C₅×C₂²⋊C₄	—	3	1	no	—
890	C₅×C₂²⋊C₄	—	3	1	no	—
891	C₅×C₂²⋊C₄	—	3	1	no	—
892	C₅×C₂²⋊C₄	—	3	1	no	—
893	C₅×C₂²⋊C₄	—	3	1	no	—
894	C₅×C₂²⋊C₄	—	3	1	no	—
895	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
896	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
897	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
898	C₄²×C₅	—	3	1	no	—
899	C₄²×C₅	—	3	1	no	—
900	C₄²×C₅	—	3	1	no	—
901	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
902	C₂²⋊Dic₅	—	3	1	no	—
903	C₂²⋊Dic₅	—	3	1	no	—
904	C₂²⋊Dic₅	—	3	1	no	—
905	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
906	#685	—	3	1	no	—
907	#685	—	3	1	no	—
908	#685	—	3	1	no	—
909	#685	—	3	1	no	—
910	#685	—	3	1	no	—
911	#685	—	3	1	no	—
912	#685	—	3	1	no	—
913	#685	—	3	1	no	—
914	#685	—	3	1	no	—
915	#685	—	3	1	no	—
916	#685	—	3	1	no	—
917	#685	—	3	1	no	—
918	#685	—	3	1	no	—
919	#685	—	3	1	no	—
920	#685	—	3	1	no	—
921	#685	—	3	1	no	—
922	#685	—	3	1	no	—
923	#685	—	3	1	no	—
924	#685	—	3	1	no	—
925	#685	—	3	1	no	—
926	#685	—	3	1	no	—
927	#685	—	3	1	no	—
928	#685	—	3	1	no	—
929	#685	—	3	1	no	—
930	#685	C₂²×D₃	1	1	yes	characteristic
931	#685	C₂²×D₃	1	1	yes	characteristic
932	#685	C₂²×D₃	1	1	yes	characteristic
933	#685	C₂²×D₃	1	1	yes	characteristic
934	#685	C₂²×D₃	1	1	yes	characteristic
935	#685	C₂²×D₃	1	1	yes	characteristic
936	#685	C₂²×D₃	1	1	yes	characteristic
937	#685	C₂²×D₃	1	1	yes	characteristic
938	C₄⋊Dic₅	—	3	1	no	—
939	C₄⋊Dic₅	—	3	1	no	—
940	C₄⋊Dic₅	—	3	1	no	—
941	C₄⋊Dic₅	—	3	1	no	—
942	C₄⋊Dic₅	—	3	1	no	—
943	C₄⋊Dic₅	—	3	1	no	—
944	C₄⋊Dic₅	—	3	1	no	—
945	C₄⋊Dic₅	—	3	1	no	—
946	C₄⋊Dic₅	—	3	1	no	—
947	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
948	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
949	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
950	#683	—	3	1	no	—
951	#683	—	3	1	no	—
952	#683	—	3	1	no	—
953	#683	—	3	1	no	—
954	#683	—	3	1	no	—
955	#683	—	3	1	no	—
956	#683	—	3	1	no	—
957	#683	—	3	1	no	—
958	#683	—	3	1	no	—
959	#683	—	3	1	no	—
960	#683	—	3	1	no	—
961	#683	—	3	1	no	—
962	#683	C₂²×D₃	1	1	yes	characteristic
963	#683	C₂²×D₃	1	1	yes	characteristic
964	#683	C₂²×D₃	1	1	yes	characteristic
965	#683	C₂²×D₃	1	1	yes	characteristic
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
976	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
977	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
978	#542	—	5	1	no	—
979	#542	—	15	1	no	—
980	#542	—	15	1	no	—
981	#542	—	15	1	no	—
982	#542	—	15	1	no	—
983	#542	—	15	1	no	—
984	#542	—	15	1	no	—
985	#542	—	15	1	no	—
986	#542	—	15	1	no	—
987	#542	—	15	1	no	—
988	#542	—	15	1	no	—
989	#542	—	15	1	no	—
990	#542	—	15	1	no	—
991	#542	—	15	1	no	—
992	#542	—	15	1	no	—
993	#542	—	15	1	no	—
994	C₂×C₄⋊Q₈	—	15	1	no	—
995	C₂×#126	—	3	1	no	—
996	C₂×#126	—	15	1	no	—
997	C₂×#124	—	15	1	no	—
998	C₂×#124	—	15	1	no	—
999	C₂×#124	—	15	1	no	—
1000	C₂×#123	—	15	1	no	—
1001	C₂×#123	—	15	1	no	—
1002	C₂×C₂²⋊Q₈	—	15	1	no	—
1003	C₂×C₂²⋊Q₈	—	15	1	no	—
1004	C₂×C₂²⋊Q₈	—	15	1	no	—
1005	C₂×#121	—	15	1	no	—
1006	C₂×C₄×Q₈	—	15	1	no	—
1007	C₂×C₄×D₄	—	15	1	no	—
1008	C₂×#117	—	15	1	no	—
1009	C₂²×C₃×C₅	—	2	1	no	—
1010	C₂²×C₃×C₅	—	2	1	no	—
1011	C₂²×C₃×C₅	—	2	1	no	—
1012	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1013	C₂×D₁₅	—	2	1	no	—
1014	C₂×D₁₅	—	2	1	no	—
1015	C₂×D₁₅	—	2	1	no	—
1016	C₂×D₁₅	—	2	1	no	—
1017	C₂×D₁₅	—	2	1	no	—
1018	C₂×D₁₅	—	2	1	no	—
1019	C₂×C₅×D₃	—	2	1	no	—
1020	C₂×C₅×D₃	—	2	1	no	—
1021	C₂×C₅×D₃	—	2	1	no	—
1022	C₂×C₅×D₃	—	4	4	no	—
1023	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1024	C₂×C₅×D₃	H(5,𝔽₂)	1	2	yes	—
1025	C₂×C₅×D₃	2₋¹⁺⁴	1	2	yes	—
1026	C₂×C₃×D₅	—	2	1	no	—
1027	C₂×C₃×D₅	—	2	1	no	—
1028	C₂×C₃×D₅	—	2	1	no	—
1029	C₂×C₃×D₅	—	2	1	no	—
1030	C₂×C₃×D₅	—	2	1	no	—
1031	C₂×C₃×D₅	—	2	1	no	—
1032	D₃×D₅	—	4	4	no	—
1033	D₃×D₅	—	4	4	no	—
1034	C₃×C₄×C₅	—	2	1	no	—
1035	C₃×C₄×C₅	—	2	1	no	—
1036	C₃×C₄×C₅	—	2	1	no	—
1037	C₃×C₄×C₅	—	2	1	no	—
1038	C₃×C₄×C₅	—	2	1	no	—
1039	C₃×C₄×C₅	—	2	1	no	—
1040	Dic₁₅	—	2	1	no	—
1041	Dic₁₅	—	2	1	no	—
1042	Dic₁₅	—	2	1	no	—
1043	Dic₁₅	—	2	1	no	—
1044	Dic₁₅	—	2	1	no	—
1045	Dic₁₅	C₂×#41	1	2	yes	—
1046	C₃×Dic₅	—	2	1	no	—
1047	C₃×Dic₅	—	2	1	no	—
1048	C₃×Dic₅	—	2	1	no	—
1049	C₃×Dic₅	—	2	1	no	—
1050	C₃×Dic₅	—	2	1	no	—
1051	C₃×Dic₅	C₂×#41	1	2	yes	—
1052	C₅×Dic₃	—	2	1	no	—
1053	C₅×Dic₃	—	2	1	no	—
1054	C₅×Dic₃	—	2	1	no	—
1055	C₅×Dic₃	—	2	1	no	—
1056	C₅×Dic₃	—	2	1	no	—
1057	C₅×Dic₃	—	2	1	no	—
1058	C₂³×D₃	—	5	1	no	—
1059	C₂³×D₃	—	5	1	no	—
1060	C₂³×D₃	C₂²×D₅	1	1	yes	characteristic
1061	C₂×C₃×Q₈	—	5	1	no	—
1062	C₂×C₃×Q₈	—	5	1	no	—
1063	C₂×C₃×Q₈	—	5	1	no	—
1064	C₂×C₃×D₄	—	5	1	no	—
1065	C₂×C₃×D₄	—	5	1	no	—
1066	C₂×C₃×D₄	—	5	1	no	—
1067	C₂²×C₃×C₄	—	5	1	no	—
1068	C₂²×C₃×C₄	—	5	1	no	—
1069	C₂²×C₃×C₄	—	5	1	no	—
1070	C₂×#67	—	5	1	no	—
1071	C₂×#67	—	5	1	no	—
1072	C₂×#67	—	5	1	no	—
1073	C₂×#67	—	5	1	no	—
1074	C₂×#67	—	5	1	no	—
1075	C₂×#67	—	5	1	no	—
1076	C₂²×Dic₃	—	5	1	no	—
1077	C₂²×Dic₃	—	5	1	no	—
1078	C₂²×Dic₃	—	5	1	no	—
1079	D₃×Q₈	—	10	4	no	—
1080	D₃×Q₈	—	20	2	no	—
1081	D₃×Q₈	—	20	2	no	—
1082	D₃×D₄	—	10	4	no	—
1083	D₃×D₄	—	20	2	no	—
1084	D₃×D₄	—	20	2	no	—
1085	C₂×D₁₂	—	5	1	no	—
1086	C₂×D₁₂	—	5	1	no	—
1087	C₂×D₁₂	—	5	1	no	—
1088	C₂×C₄×D₃	—	5	1	no	—
1089	C₂×C₄×D₃	—	5	1	no	—
1090	C₂×C₄×D₃	—	5	1	no	—
1091	C₂×C₄×D₃	—	5	1	no	—
1092	C₂×C₄×D₃	—	5	1	no	—
1093	C₂×C₄×D₃	—	5	1	no	—
1094	C₂×C₄×D₃	—	5	1	no	—
1095	C₂×C₄×D₃	—	5	1	no	—
1096	C₂×C₄×D₃	—	5	1	no	—
1097	C₂×C₄×D₃	—	5	1	no	—
1098	C₂×C₄×D₃	—	5	1	no	—
1099	C₂×C₄×D₃	—	5	1	no	—
1100	C₂×C₄×D₃	—	10	4	no	—
1101	C₂×C₄×D₃	—	20	2	no	—
1102	C₂×C₄×D₃	—	20	2	no	—
1103	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1104	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1105	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1106	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1107	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1108	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1109	C₂×Dic₆	—	5	1	no	—
1110	C₂×Dic₆	—	5	1	no	—
1111	C₂×Dic₆	—	5	1	no	—
1112	C₂×Dic₆	—	5	1	no	—
1113	C₂×Dic₆	—	5	1	no	—
1114	C₂×Dic₆	—	5	1	no	—
1115	C₂×Dic₆	—	5	1	no	—
1116	C₂×Dic₆	—	5	1	no	—
1117	C₂×Dic₆	—	5	1	no	—
1118	C₃×C₄⋊C₄	—	5	1	no	—
1119	C₃×C₄⋊C₄	—	5	1	no	—
1120	C₃×C₄⋊C₄	—	5	1	no	—
1121	C₃×C₄⋊C₄	—	5	1	no	—
1122	C₃×C₄⋊C₄	—	5	1	no	—
1123	C₃×C₄⋊C₄	—	5	1	no	—
1124	C₃×C₄⋊C₄	—	5	1	no	—
1125	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1126	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1127	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1128	C₃×C₂²⋊C₄	—	5	1	no	—
1129	C₃×C₂²⋊C₄	—	5	1	no	—
1130	C₃×C₂²⋊C₄	—	5	1	no	—
1131	C₃×C₂²⋊C₄	—	5	1	no	—
1132	C₃×C₂²⋊C₄	—	5	1	no	—
1133	C₃×C₂²⋊C₄	—	5	1	no	—
1134	C₃×C₂²⋊C₄	—	5	1	no	—
1135	C₃×C₂²⋊C₄	—	5	1	no	—
1136	C₃×C₂²⋊C₄	—	5	1	no	—
1137	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1138	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1139	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1140	C₃×C₄²	—	5	1	no	—
1141	C₃×C₄²	—	5	1	no	—
1142	C₃×C₄²	—	5	1	no	—
1143	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1144	#217	—	5	1	no	—
1145	#217	—	5	1	no	—
1146	#217	—	5	1	no	—
1147	#217	—	5	1	no	—
1148	#217	—	5	1	no	—
1149	#217	—	5	1	no	—
1150	#217	—	5	1	no	—
1151	#217	—	5	1	no	—
1152	#217	—	5	1	no	—
1153	#217	C₂²×D₅	1	1	yes	characteristic
1154	#217	C₂²×D₅	1	1	yes	characteristic
1155	#217	C₂²×D₅	1	1	yes	characteristic
1156	(C₂×D₃)⋊C₄	—	5	1	no	—
1157	(C₂×D₃)⋊C₄	—	5	1	no	—
1158	(C₂×D₃)⋊C₄	—	5	1	no	—
1159	(C₂×D₃)⋊C₄	—	5	1	no	—
1160	(C₂×D₃)⋊C₄	—	5	1	no	—
1161	(C₂×D₃)⋊C₄	—	5	1	no	—
1162	(C₂×D₃)⋊C₄	—	5	1	no	—
1163	(C₂×D₃)⋊C₄	—	5	1	no	—
1164	(C₂×D₃)⋊C₄	—	5	1	no	—
1165	(C₂×D₃)⋊C₄	—	5	1	no	—
1166	(C₂×D₃)⋊C₄	—	5	1	no	—
1167	(C₂×D₃)⋊C₄	—	5	1	no	—
1168	(C₂×D₃)⋊C₄	—	5	1	no	—
1169	(C₂×D₃)⋊C₄	—	5	1	no	—
1170	(C₂×D₃)⋊C₄	—	5	1	no	—
1171	(C₂×D₃)⋊C₄	—	5	1	no	—
1172	(C₂×D₃)⋊C₄	—	5	1	no	—
1173	(C₂×D₃)⋊C₄	—	5	1	no	—
1174	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1175	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1176	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1177	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1178	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1179	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1180	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	C₂²×D₅	1	1	yes	characteristic
1188	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1189	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1190	Dic₃⋊C₄	—	5	1	no	—
1191	Dic₃⋊C₄	—	5	1	no	—
1192	Dic₃⋊C₄	—	5	1	no	—
1193	Dic₃⋊C₄	—	5	1	no	—
1194	Dic₃⋊C₄	—	5	1	no	—
1195	Dic₃⋊C₄	—	5	1	no	—
1196	Dic₃⋊C₄	—	5	1	no	—
1197	Dic₃⋊C₄	—	5	1	no	—
1198	Dic₃⋊C₄	—	5	1	no	—
1199	Dic₃⋊C₄	—	5	1	no	—
1200	Dic₃⋊C₄	—	5	1	no	—
1201	Dic₃⋊C₄	—	5	1	no	—
1202	Dic₃⋊C₄	—	5	1	no	—
1203	Dic₃⋊C₄	—	5	1	no	—
1204	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1205	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1206	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1207	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1208	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1209	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1210	C₄×Dic₃	—	5	1	no	—
1211	C₄×Dic₃	—	5	1	no	—
1212	C₄×Dic₃	—	5	1	no	—
1213	C₄×Dic₃	—	5	1	no	—
1214	C₄×Dic₃	—	5	1	no	—
1215	C₄×Dic₃	—	5	1	no	—
1216	C₄×Dic₃	—	5	1	no	—
1217	C₄×Dic₃	—	5	1	no	—
1218	C₄×Dic₃	—	5	1	no	—
1219	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1220	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1221	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1222	C₂³×C₅	—	3	1	no	—
1223	C₂³×C₅	—	3	1	no	—
1224	C₂³×C₅	—	6	2	no	—
1225	C₂³×C₅	—	6	2	no	—
1226	C₂³×C₅	—	6	2	no	—
1227	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1228	C₂²×D₅	—	3	1	no	—
1229	C₂²×D₅	—	3	1	no	—
1230	C₂²×D₅	—	6	2	no	—
1231	C₂²×D₅	—	6	2	no	—
1232	C₂²×D₅	—	6	2	no	—
1233	C₂²×D₅	—	6	2	no	—
1234	C₂²×D₅	—	6	2	no	—
1235	C₂²×D₅	—	6	2	no	—
1236	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1237	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1238	C₂×C₄×C₅	—	3	1	no	—
1239	C₂×C₄×C₅	—	3	1	no	—
1240	C₂×C₄×C₅	—	3	1	no	—
1241	C₂×C₄×C₅	—	3	1	no	—
1242	C₂×C₄×C₅	—	3	1	no	—
1243	C₂×C₄×C₅	—	3	1	no	—
1244	C₂×C₄×C₅	—	6	2	no	—
1245	C₂×C₄×C₅	—	6	2	no	—
1246	C₂×C₄×C₅	—	6	2	no	—
1247	C₂×C₄×C₅	—	6	2	no	—
1248	C₂×C₄×C₅	—	6	2	no	—
1249	C₂×C₄×C₅	—	6	2	no	—
1250	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1251	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1252	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1253	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1254	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1255	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1256	C₂²⋊D₅	—	2	2	no	—
1257	C₂²⋊D₅	—	4	1	no	—
1258	C₂²⋊D₅	—	6	2	no	—
1259	C₂²⋊D₅	—	6	2	no	—
1260	C₂²⋊D₅	—	6	2	no	—
1261	C₂²⋊D₅	—	12	1	no	—
1262	C₂²⋊D₅	—	12	1	no	—
1263	C₂²⋊D₅	—	12	1	no	—
1264	C₂×Dic₅	—	3	1	no	—
1265	C₂×Dic₅	—	3	4	no	—
1266	C₂×Dic₅	—	3	1	no	—
1267	C₂×Dic₅	—	3	1	no	—
1268	C₂×Dic₅	—	3	1	no	—
1269	C₂×Dic₅	—	3	1	no	—
1270	C₂×Dic₅	—	3	1	no	—
1271	C₂×Dic₅	—	4	1	no	—
1272	C₂×Dic₅	—	6	2	no	—
1273	C₂×Dic₅	—	6	2	no	—
1274	C₂×Dic₅	—	6	2	no	—
1275	C₂×Dic₅	—	6	2	no	—
1276	C₂×Dic₅	—	6	2	no	—
1277	C₂×Dic₅	—	12	1	no	—
1278	C₂×Dic₅	—	12	1	no	—
1279	C₂×Dic₅	—	12	1	no	—
1280	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1281	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1282	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1283	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1284	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1285	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1286	D₂₀	—	4	1	no	—
1287	D₂₀	—	12	1	no	—
1288	D₂₀	—	12	1	no	—
1289	D₂₀	—	12	1	no	—
1290	C₄×D₅	—	2	2	no	—
1291	C₄×D₅	—	4	1	no	—
1292	C₄×D₅	—	6	2	no	—
1293	C₄×D₅	—	6	2	no	—
1294	C₄×D₅	—	6	2	no	—
1295	C₄×D₅	—	12	1	no	—
1296	C₄×D₅	—	12	1	no	—
1297	C₄×D₅	—	12	1	no	—
1298	Dic₁₀	—	2	2	no	—
1299	Dic₁₀	—	4	1	no	—
1300	Dic₁₀	—	4	1	no	—
1301	Dic₁₀	—	6	2	no	—
1302	Dic₁₀	—	6	2	no	—
1303	Dic₁₀	—	6	2	no	—
1304	Dic₁₀	—	12	1	no	—
1305	Dic₁₀	—	12	1	no	—
1306	Dic₁₀	—	12	1	no	—
1307	Dic₁₀	—	12	1	no	—
1308	Dic₁₀	—	12	1	no	—
1309	Dic₁₀	—	12	1	no	—
1310	C₂²×Q₈	—	15	1	no	—
1311	C₂²×Q₈	—	15	1	no	—
1312	C₂²×Q₈	—	15	1	no	—
1313	C₂²×D₄	—	15	1	no	—
1314	C₂²×D₄	—	15	1	no	—
1315	C₂²×D₄	—	15	1	no	—
1316	C₂³×C₄	—	15	1	no	—
1317	C₂³×C₄	—	15	1	no	—
1318	C₂³×C₄	—	15	1	no	—
1319	C₄⋊Q₈	—	5	1	no	—
1320	C₄⋊Q₈	—	15	1	no	—
1321	C₄⋊Q₈	—	15	1	no	—
1322	C₄⋊Q₈	—	15	1	no	—
1323	C₄⋊Q₈	—	15	1	no	—
1324	C₄⋊Q₈	—	15	1	no	—
1325	C₄⋊Q₈	—	15	1	no	—
1326	C₄⋊Q₈	—	15	1	no	—
1327	#126	—	3	1	no	—
1328	#126	—	3	1	no	—
1329	#126	—	3	1	no	—
1330	#126	—	3	1	no	—
1331	#126	—	3	1	no	—
1332	#126	—	3	1	no	—
1333	#126	—	3	1	no	—
1334	#126	—	5	1	no	—
1335	#126	—	15	1	no	—
1336	#126	—	15	1	no	—
1337	#126	—	15	1	no	—
1338	#126	—	15	1	no	—
1339	#126	—	15	1	no	—
1340	#126	—	15	1	no	—
1341	#126	—	15	1	no	—
1342	#126	D₃×D₅	1	1	yes	characteristic, complemented
1343	#124	—	5	1	no	—
1344	#124	—	5	1	no	—
1345	#124	—	5	1	no	—
1346	#124	—	15	1	no	—
1347	#124	—	15	1	no	—
1348	#124	—	15	1	no	—
1349	#124	—	15	1	no	—
1350	#124	—	15	1	no	—
1351	#124	—	15	1	no	—
1352	#124	—	15	1	no	—
1353	#124	—	15	1	no	—
1354	#124	—	15	1	no	—
1355	#124	—	15	1	no	—
1356	#124	—	15	1	no	—
1357	#124	—	15	1	no	—
1358	#124	—	15	1	no	—
1359	#124	—	15	1	no	—
1360	#124	—	15	1	no	—
1361	#124	—	15	1	no	—
1362	#124	—	15	1	no	—
1363	#124	—	15	1	no	—
1364	#124	—	15	1	no	—
1365	#124	—	15	1	no	—
1366	#124	—	15	1	no	—
1367	#123	—	5	1	no	—
1368	#123	—	5	1	no	—
1369	#123	—	15	1	no	—
1370	#123	—	15	1	no	—
1371	#123	—	15	1	no	—
1372	#123	—	15	1	no	—
1373	#123	—	15	1	no	—
1374	#123	—	15	1	no	—
1375	#123	—	15	1	no	—
1376	#123	—	15	1	no	—
1377	#123	—	15	1	no	—
1378	#123	—	15	1	no	—
1379	#123	—	15	1	no	—
1380	#123	—	15	1	no	—
1381	#123	—	15	1	no	—
1382	#123	—	15	1	no	—
1383	C₂²⋊Q₈	—	5	1	no	—
1384	C₂²⋊Q₈	—	5	1	no	—
1385	C₂²⋊Q₈	—	5	1	no	—
1386	C₂²⋊Q₈	—	15	1	no	—
1387	C₂²⋊Q₈	—	15	1	no	—
1388	C₂²⋊Q₈	—	15	1	no	—
1389	C₂²⋊Q₈	—	15	1	no	—
1390	C₂²⋊Q₈	—	15	1	no	—
1391	C₂²⋊Q₈	—	15	1	no	—
1392	C₂²⋊Q₈	—	15	1	no	—
1393	C₂²⋊Q₈	—	15	1	no	—
1394	C₂²⋊Q₈	—	15	1	no	—
1395	C₂²⋊Q₈	—	15	1	no	—
1396	C₂²⋊Q₈	—	15	1	no	—
1397	C₂²⋊Q₈	—	15	1	no	—
1398	C₂²⋊Q₈	—	15	1	no	—
1399	C₂²⋊Q₈	—	15	1	no	—
1400	C₂²⋊Q₈	—	15	1	no	—
1401	C₂²⋊Q₈	—	15	1	no	—
1402	C₂²⋊Q₈	—	15	1	no	—
1403	C₂²⋊Q₈	—	15	1	no	—
1404	C₂²⋊Q₈	—	15	1	no	—
1405	C₂²⋊Q₈	—	15	1	no	—
1406	C₂²⋊Q₈	—	15	1	no	—
1407	#121	—	5	1	no	—
1408	#121	—	15	1	no	—
1409	#121	—	15	1	no	—
1410	#121	—	15	1	no	—
1411	#121	—	15	1	no	—
1412	#121	—	15	1	no	—
1413	#121	—	15	1	no	—
1414	#121	—	15	1	no	—
1415	C₄×Q₈	—	5	1	no	—
1416	C₄×Q₈	—	15	1	no	—
1417	C₄×Q₈	—	15	1	no	—
1418	C₄×Q₈	—	15	1	no	—
1419	C₄×Q₈	—	15	1	no	—
1420	C₄×Q₈	—	15	1	no	—
1421	C₄×Q₈	—	15	1	no	—
1422	C₄×Q₈	—	15	1	no	—
1423	C₄×D₄	—	5	1	no	—
1424	C₄×D₄	—	15	1	no	—
1425	C₄×D₄	—	15	1	no	—
1426	C₄×D₄	—	15	1	no	—
1427	C₄×D₄	—	15	1	no	—
1428	C₄×D₄	—	15	1	no	—
1429	C₄×D₄	—	15	1	no	—
1430	C₄×D₄	—	15	1	no	—
1431	#117	—	5	1	no	—
1432	#117	—	15	1	no	—
1433	#117	—	15	1	no	—
1434	#117	—	15	1	no	—
1435	#117	—	15	1	no	—
1436	#117	—	15	1	no	—
1437	#117	—	15	1	no	—
1438	#117	—	15	1	no	—
1439	C₂×C₄⋊C₄	—	3	1	no	—
1440	C₂×C₄⋊C₄	—	3	1	no	—
1441	C₂×C₄⋊C₄	—	3	1	no	—
1442	C₂×C₄⋊C₄	—	15	1	no	—
1443	C₂×C₄⋊C₄	—	15	1	no	—
1444	C₂×C₄⋊C₄	—	15	1	no	—
1445	C₂×C₄⋊C₄	—	15	1	no	—
1446	C₂×C₄⋊C₄	—	15	1	no	—
1447	C₂×C₄⋊C₄	—	15	1	no	—
1448	C₂×C₄⋊C₄	—	15	1	no	—
1449	C₂×C₂²⋊C₄	—	3	1	no	—
1450	C₂×C₂²⋊C₄	—	3	1	no	—
1451	C₂×C₂²⋊C₄	—	3	1	no	—
1452	C₂×C₂²⋊C₄	—	15	1	no	—
1453	C₂×C₂²⋊C₄	—	15	1	no	—
1454	C₂×C₂²⋊C₄	—	15	1	no	—
1455	C₂×C₂²⋊C₄	—	15	1	no	—
1456	C₂×C₂²⋊C₄	—	15	1	no	—
1457	C₂×C₂²⋊C₄	—	15	1	no	—
1458	C₂×C₂²⋊C₄	—	15	1	no	—
1459	C₂×C₂²⋊C₄	—	15	1	no	—
1460	C₂×C₂²⋊C₄	—	15	1	no	—
1461	C₂×C₄²	—	3	1	no	—
1462	C₂×C₄²	—	15	1	no	—
1463	C₂×C₄²	—	15	1	no	—
1464	C₂×C₄²	—	15	1	no	—
1465	C₂×C₃×C₅	—	4	1	no	—
1466	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1467	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1468	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1469	D₁₅	—	4	1	no	—
1470	D₁₅	—	4	1	no	—
1471	C₃×D₅	—	4	1	no	—
1472	C₃×D₅	—	4	1	no	—
1473	C₅×D₃	—	4	1	no	—
1474	C₅×D₃	#542	1	4	yes	complemented
1475	C₂³×C₃	—	5	1	no	—
1476	C₂³×C₃	—	5	1	no	—
1477	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1478	C₂²×D₃	—	2	2	no	—
1479	C₂²×D₃	—	2	2	no	—
1480	C₂²×D₃	—	2	2	no	—
1481	C₂²×D₃	—	5	1	no	—
1482	C₂²×D₃	—	5	1	no	—
1483	C₂²×D₃	—	10	2	no	—
1484	C₂²×D₃	—	10	2	no	—
1485	C₂²×D₃	—	10	2	no	—
1486	C₂²×D₃	—	10	2	no	—
1487	C₂²×D₃	—	10	2	no	—
1488	C₂²×D₃	—	10	2	no	—
1489	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1490	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1491	C₃×Q₈	—	10	2	no	—
1492	C₃×Q₈	—	20	1	no	—
1493	C₃×Q₈	—	20	1	no	—
1494	C₃×D₄	—	10	2	no	—
1495	C₃×D₄	—	20	1	no	—
1496	C₃×D₄	—	20	1	no	—
1497	C₂×C₃×C₄	—	5	1	no	—
1498	C₂×C₃×C₄	—	5	1	no	—
1499	C₂×C₃×C₄	—	5	1	no	—
1500	C₂×C₃×C₄	—	5	1	no	—
1501	C₂×C₃×C₄	—	5	1	no	—
1502	C₂×C₃×C₄	—	5	1	no	—
1503	C₂×C₃×C₄	—	10	2	no	—
1504	C₂×C₃×C₄	—	20	1	no	—
1505	C₂×C₃×C₄	—	20	1	no	—
1506	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1507	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1508	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1509	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1510	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1511	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1512	#67	—	10	2	no	—
1513	#67	—	10	2	no	—
1514	#67	—	20	1	no	—
1515	#67	—	20	1	no	—
1516	#67	—	20	1	no	—
1517	#67	—	20	1	no	—
1518	C₂×Dic₃	—	5	1	no	—
1519	C₂×Dic₃	—	5	1	no	—
1520	C₂×Dic₃	—	5	1	no	—
1521	C₂×Dic₃	—	5	1	no	—
1522	C₂×Dic₃	—	5	1	no	—
1523	C₂×Dic₃	—	5	1	no	—
1524	C₂×Dic₃	—	10	2	no	—
1525	C₂×Dic₃	—	20	1	no	—
1526	C₂×Dic₃	—	20	1	no	—
1527	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1528	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1529	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1530	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1531	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1532	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1533	D₁₂	—	10	2	no	—
1534	D₁₂	—	20	1	no	—
1535	D₁₂	—	20	1	no	—
1536	C₄×D₃	—	2	2	no	—
1537	C₄×D₃	—	2	2	no	—
1538	C₄×D₃	—	2	2	no	—
1539	C₄×D₃	—	2	2	no	—
1540	C₄×D₃	—	2	2	no	—
1541	C₄×D₃	—	2	2	no	—
1542	C₄×D₃	—	5	4	no	—
1543	C₄×D₃	—	10	2	no	—
1544	C₄×D₃	—	10	2	no	—
1545	C₄×D₃	—	10	2	no	—
1546	C₄×D₃	—	10	2	no	—
1547	C₄×D₃	—	10	2	no	—
1548	C₄×D₃	—	10	2	no	—
1549	C₄×D₃	—	10	2	no	—
1550	C₄×D₃	—	20	1	no	—
1551	C₄×D₃	—	20	1	no	—
1552	C₄×D₃	—	20	1	no	—
1553	C₄×D₃	—	20	1	no	—
1554	Dic₆	—	10	2	no	—
1555	Dic₆	—	10	2	no	—
1556	Dic₆	—	10	2	no	—
1557	Dic₆	—	20	1	no	—
1558	Dic₆	—	20	1	no	—
1559	Dic₆	—	20	1	no	—
1560	Dic₆	—	20	1	no	—
1561	Dic₆	—	20	1	no	—
1562	Dic₆	—	20	1	no	—
1563	C₂²×C₅	—	2	1	no	—
1564	C₂²×C₅	—	2	1	no	—
1565	C₂²×C₅	—	2	1	no	—
1566	C₂²×C₅	—	3	2	no	—
1567	C₂²×C₅	—	3	2	no	—
1568	C₂²×C₅	—	3	2	no	—
1569	C₂²×C₅	—	6	1	no	—
1570	C₂²×C₅	—	6	1	no	—
1571	C₂²×C₅	—	6	1	no	—
1572	C₂²×C₅	—	12	4	no	—
1573	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1574	C₂×D₅	—	2	1	no	—
1575	C₂×D₅	—	2	1	no	—
1576	C₂×D₅	—	2	1	no	—
1577	C₂×D₅	—	2	1	no	—
1578	C₂×D₅	—	2	1	no	—
1579	C₂×D₅	—	2	1	no	—
1580	C₂×D₅	—	6	1	no	—
1581	C₂×D₅	—	6	1	no	—
1582	C₂×D₅	—	6	1	no	—
1583	C₂×D₅	—	6	1	no	—
1584	C₂×D₅	—	6	1	no	—
1585	C₂×D₅	—	6	1	no	—
1586	C₂×D₅	—	12	4	no	—
1587	C₂×D₅	—	12	4	no	—
1588	C₄×C₅	—	2	1	no	—
1589	C₄×C₅	—	2	1	no	—
1590	C₄×C₅	—	2	1	no	—
1591	C₄×C₅	—	2	1	no	—
1592	C₄×C₅	—	2	1	no	—
1593	C₄×C₅	—	2	1	no	—
1594	C₄×C₅	—	6	1	no	—
1595	C₄×C₅	—	6	1	no	—
1596	C₄×C₅	—	6	1	no	—
1597	C₄×C₅	—	6	1	no	—
1598	C₄×C₅	—	6	1	no	—
1599	C₄×C₅	—	6	1	no	—
1600	Dic₅	—	2	1	no	—
1601	Dic₅	—	2	1	no	—
1602	Dic₅	—	2	1	no	—
1603	Dic₅	—	2	1	no	—
1604	Dic₅	—	2	1	no	—
1605	Dic₅	—	3	2	no	—
1606	Dic₅	—	6	1	no	—
1607	Dic₅	—	6	1	no	—
1608	Dic₅	—	6	1	no	—
1609	Dic₅	—	6	1	no	—
1610	Dic₅	—	6	1	no	—
1611	Dic₅	D₃×#41	1	2	yes	—
1612	C₂⁴	—	3	1	no	—
1613	C₂⁴	—	15	1	no	—
1614	C₂⁴	—	15	1	no	—
1615	C₂×Q₈	—	5	1	no	—
1616	C₂×Q₈	—	5	1	no	—
1617	C₂×Q₈	—	5	1	no	—
1618	C₂×Q₈	—	15	1	no	—
1619	C₂×Q₈	—	15	1	no	—
1620	C₂×Q₈	—	15	1	no	—
1621	C₂×Q₈	—	15	1	no	—
1622	C₂×Q₈	—	15	1	no	—
1623	C₂×Q₈	—	15	1	no	—
1624	C₂×Q₈	—	15	1	no	—
1625	C₂×Q₈	—	15	1	no	—
1626	C₂×Q₈	—	15	1	no	—
1627	C₂×Q₈	—	30	4	no	—
1628	C₂×Q₈	—	60	2	no	—
1629	C₂×Q₈	—	60	2	no	—
1630	C₂×D₄	—	5	1	no	—
1631	C₂×D₄	—	5	1	no	—
1632	C₂×D₄	—	5	1	no	—
1633	C₂×D₄	—	15	1	no	—
1634	C₂×D₄	—	15	1	no	—
1635	C₂×D₄	—	15	1	no	—
1636	C₂×D₄	—	15	1	no	—
1637	C₂×D₄	—	15	1	no	—
1638	C₂×D₄	—	15	1	no	—
1639	C₂×D₄	—	15	1	no	—
1640	C₂×D₄	—	15	1	no	—
1641	C₂×D₄	—	15	1	no	—
1642	C₂×D₄	—	30	4	no	—
1643	C₂×D₄	—	60	2	no	—
1644	C₂×D₄	—	60	2	no	—
1645	C₂²×C₄	—	3	1	no	—
1646	C₂²×C₄	—	3	1	no	—
1647	C₂²×C₄	—	3	1	no	—
1648	C₂²×C₄	—	3	1	no	—
1649	C₂²×C₄	—	3	1	no	—
1650	C₂²×C₄	—	3	1	no	—
1651	C₂²×C₄	—	5	1	no	—
1652	C₂²×C₄	—	5	1	no	—
1653	C₂²×C₄	—	5	1	no	—
1654	C₂²×C₄	—	15	1	no	—
1655	C₂²×C₄	—	15	1	no	—
1656	C₂²×C₄	—	15	1	no	—
1657	C₂²×C₄	—	15	1	no	—
1658	C₂²×C₄	—	15	1	no	—
1659	C₂²×C₄	—	15	1	no	—
1660	C₂²×C₄	—	15	1	no	—
1661	C₂²×C₄	—	15	1	no	—
1662	C₂²×C₄	—	15	1	no	—
1663	C₂²×C₄	—	15	1	no	—
1664	C₂²×C₄	—	15	1	no	—
1665	C₂²×C₄	—	15	1	no	—
1666	C₂²×C₄	—	15	1	no	—
1667	C₂²×C₄	—	15	1	no	—
1668	C₂²×C₄	—	15	1	no	—
1669	C₂²×C₄	—	30	4	no	—
1670	C₂²×C₄	—	60	2	no	—
1671	C₂²×C₄	—	60	2	no	—
1672	C₄⋊C₄	—	3	1	no	—
1673	C₄⋊C₄	—	3	1	no	—
1674	C₄⋊C₄	—	3	1	no	—
1675	C₄⋊C₄	—	3	1	no	—
1676	C₄⋊C₄	—	3	1	no	—
1677	C₄⋊C₄	—	3	1	no	—
1678	C₄⋊C₄	—	3	1	no	—
1679	C₄⋊C₄	—	3	1	no	—
1680	C₄⋊C₄	—	3	1	no	—
1681	C₄⋊C₄	—	5	1	no	—
1682	C₄⋊C₄	—	5	1	no	—
1683	C₄⋊C₄	—	5	1	no	—
1684	C₄⋊C₄	—	5	1	no	—
1685	C₄⋊C₄	—	5	1	no	—
1686	C₄⋊C₄	—	5	1	no	—
1687	C₄⋊C₄	—	5	1	no	—
1688	C₄⋊C₄	—	15	1	no	—
1689	C₄⋊C₄	—	15	1	no	—
1690	C₄⋊C₄	—	15	1	no	—
1691	C₄⋊C₄	—	15	1	no	—
1692	C₄⋊C₄	—	15	1	no	—
1693	C₄⋊C₄	—	15	1	no	—
1694	C₄⋊C₄	—	15	1	no	—
1695	C₄⋊C₄	—	15	1	no	—
1696	C₄⋊C₄	—	15	1	no	—
1697	C₄⋊C₄	—	15	1	no	—
1698	C₄⋊C₄	—	15	1	no	—
1699	C₄⋊C₄	—	15	1	no	—
1700	C₄⋊C₄	—	15	1	no	—
1701	C₄⋊C₄	—	15	1	no	—
1702	C₄⋊C₄	—	15	1	no	—
1703	C₄⋊C₄	—	15	1	no	—
1704	C₄⋊C₄	—	15	1	no	—
1705	C₄⋊C₄	—	15	1	no	—
1706	C₄⋊C₄	—	15	1	no	—
1707	C₄⋊C₄	—	15	1	no	—
1708	C₄⋊C₄	—	15	1	no	—
1709	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1710	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1711	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1712	C₂²⋊C₄	—	3	1	no	—
1713	C₂²⋊C₄	—	3	1	no	—
1714	C₂²⋊C₄	—	3	1	no	—
1715	C₂²⋊C₄	—	3	1	no	—
1716	C₂²⋊C₄	—	3	1	no	—
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	—	5	1	no	—
1722	C₂²⋊C₄	—	5	1	no	—
1723	C₂²⋊C₄	—	5	1	no	—
1724	C₂²⋊C₄	—	5	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	—	5	1	no	—
1730	C₂²⋊C₄	—	15	1	no	—
1731	C₂²⋊C₄	—	15	1	no	—
1732	C₂²⋊C₄	—	15	1	no	—
1733	C₂²⋊C₄	—	15	1	no	—
1734	C₂²⋊C₄	—	15	1	no	—
1735	C₂²⋊C₄	—	15	1	no	—
1736	C₂²⋊C₄	—	15	1	no	—
1737	C₂²⋊C₄	—	15	1	no	—
1738	C₂²⋊C₄	—	15	1	no	—
1739	C₂²⋊C₄	—	15	1	no	—
1740	C₂²⋊C₄	—	15	1	no	—
1741	C₂²⋊C₄	—	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	—	15	1	no	—
1749	C₂²⋊C₄	—	15	1	no	—
1750	C₂²⋊C₄	—	15	1	no	—
1751	C₂²⋊C₄	—	15	1	no	—
1752	C₂²⋊C₄	—	15	1	no	—
1753	C₂²⋊C₄	—	15	1	no	—
1754	C₂²⋊C₄	—	15	1	no	—
1755	C₂²⋊C₄	—	15	1	no	—
1756	C₂²⋊C₄	—	15	1	no	—
1757	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1758	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1759	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1760	C₄²	—	3	1	no	—
1761	C₄²	—	3	1	no	—
1762	C₄²	—	3	1	no	—
1763	C₄²	—	5	1	no	—
1764	C₄²	—	5	1	no	—
1765	C₄²	—	5	1	no	—
1766	C₄²	—	15	1	no	—
1767	C₄²	—	15	1	no	—
1768	C₄²	—	15	1	no	—
1769	C₄²	—	15	1	no	—
1770	C₄²	—	15	1	no	—
1771	C₄²	—	15	1	no	—
1772	C₄²	—	15	1	no	—
1773	C₄²	—	15	1	no	—
1774	C₄²	—	15	1	no	—
1775	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1776	C₃×C₅	C₂×#542	1	1	yes	characteristic, complemented, Hall
1777	C₂²×C₃	—	2	1	no	—
1778	C₂²×C₃	—	2	1	no	—
1779	C₂²×C₃	—	2	1	no	—
1780	C₂²×C₃	—	10	1	no	—
1781	C₂²×C₃	—	10	1	no	—
1782	C₂²×C₃	—	10	1	no	—
1783	C₂²×C₃	—	10	1	no	—
1784	C₂²×C₃	—	10	1	no	—
1785	C₂²×C₃	—	10	1	no	—
1786	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1787	C₂×D₃	—	2	1	no	—
1788	C₂×D₃	—	2	1	no	—
1789	C₂×D₃	—	2	1	no	—
1790	C₂×D₃	—	4	4	no	—
1791	C₂×D₃	—	10	1	no	—
1792	C₂×D₃	—	10	1	no	—
1793	C₂×D₃	—	10	1	no	—
1794	C₂×D₃	—	10	1	no	—
1795	C₂×D₃	—	10	1	no	—
1796	C₂×D₃	—	10	1	no	—
1797	C₂×D₃	—	20	4	no	—
1798	C₂×D₃	—	20	4	no	—
1799	C₂×D₃	D₅×#41	1	2	yes	—
1800	C₂×D₃	#4149	1	2	yes	—
1801	C₂×D₃	#4150	1	2	yes	—
1802	C₃×C₄	—	2	1	no	—
1803	C₃×C₄	—	2	1	no	—
1804	C₃×C₄	—	2	1	no	—
1805	C₃×C₄	—	2	1	no	—
1806	C₃×C₄	—	2	1	no	—
1807	C₃×C₄	—	2	1	no	—
1808	C₃×C₄	—	5	2	no	—
1809	C₃×C₄	—	10	1	no	—
1810	C₃×C₄	—	10	1	no	—
1811	C₃×C₄	—	10	1	no	—
1812	C₃×C₄	—	10	1	no	—
1813	C₃×C₄	—	10	1	no	—
1814	Dic₃	—	2	1	no	—
1815	Dic₃	—	2	1	no	—
1816	Dic₃	—	2	1	no	—
1817	Dic₃	—	2	1	no	—
1818	Dic₃	—	2	1	no	—
1819	Dic₃	—	2	1	no	—
1820	Dic₃	—	5	2	no	—
1821	Dic₃	—	10	1	no	—
1822	Dic₃	—	10	1	no	—
1823	Dic₃	—	10	1	no	—
1824	Dic₃	—	10	1	no	—
1825	Dic₃	—	10	1	no	—
1826	C₂×C₅	—	3	4	no	—
1827	C₂×C₅	—	4	1	no	—
1828	C₂×C₅	—	12	1	no	—
1829	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1830	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1831	C₂×C₅	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1832	D₅	—	4	1	no	—
1833	D₅	—	4	1	no	—
1834	D₅	—	12	1	no	—
1835	D₅	—	12	1	no	—
1836	C₂³	—	3	1	no	—
1837	C₂³	—	3	1	no	—
1838	C₂³	—	5	1	no	—
1839	C₂³	—	5	1	no	—
1840	C₂³	—	6	2	no	—
1841	C₂³	—	6	2	no	—
1842	C₂³	—	6	2	no	—
1843	C₂³	—	15	1	no	—
1844	C₂³	—	15	1	no	—
1845	C₂³	—	30	2	no	—
1846	C₂³	—	30	2	no	—
1847	C₂³	—	30	2	no	—
1848	C₂³	—	30	2	no	—
1849	C₂³	—	30	2	no	—
1850	C₂³	—	30	2	no	—
1851	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
1852	Q₈	—	10	2	no	—
1853	Q₈	—	20	1	no	—
1854	Q₈	—	20	1	no	—
1855	Q₈	—	30	2	no	—
1856	Q₈	—	30	2	no	—
1857	Q₈	—	30	2	no	—
1858	Q₈	—	60	1	no	—
1859	Q₈	—	60	1	no	—
1860	Q₈	—	60	1	no	—
1861	Q₈	—	60	1	no	—
1862	Q₈	—	60	1	no	—
1863	Q₈	—	60	1	no	—
1864	D₄	—	10	2	no	—
1865	D₄	—	20	1	no	—
1866	D₄	—	20	1	no	—
1867	D₄	—	30	2	no	—
1868	D₄	—	30	2	no	—
1869	D₄	—	30	2	no	—
1870	D₄	—	60	1	no	—
1871	D₄	—	60	1	no	—
1872	D₄	—	60	1	no	—
1873	D₄	—	60	1	no	—
1874	D₄	—	60	1	no	—
1875	D₄	—	60	1	no	—
1876	C₂×C₄	—	3	1	no	—
1877	C₂×C₄	—	3	1	no	—
1878	C₂×C₄	—	3	1	no	—
1879	C₂×C₄	—	3	1	no	—
1880	C₂×C₄	—	3	1	no	—
1881	C₂×C₄	—	3	1	no	—
1882	C₂×C₄	—	5	1	no	—
1883	C₂×C₄	—	5	1	no	—
1884	C₂×C₄	—	5	1	no	—
1885	C₂×C₄	—	5	1	no	—
1886	C₂×C₄	—	5	1	no	—
1887	C₂×C₄	—	5	1	no	—
1888	C₂×C₄	—	6	2	no	—
1889	C₂×C₄	—	6	2	no	—
1890	C₂×C₄	—	6	2	no	—
1891	C₂×C₄	—	6	2	no	—
1892	C₂×C₄	—	6	2	no	—
1893	C₂×C₄	—	6	2	no	—
1894	C₂×C₄	—	10	2	no	—
1895	C₂×C₄	—	15	4	no	—
1896	C₂×C₄	—	15	1	no	—
1897	C₂×C₄	—	15	1	no	—
1898	C₂×C₄	—	15	1	no	—
1899	C₂×C₄	—	15	1	no	—
1900	C₂×C₄	—	15	1	no	—
1901	C₂×C₄	—	15	1	no	—
1902	C₂×C₄	—	20	1	no	—
1903	C₂×C₄	—	20	1	no	—
1904	C₂×C₄	—	30	2	no	—
1905	C₂×C₄	—	30	2	no	—
1906	C₂×C₄	—	30	2	no	—
1907	C₂×C₄	—	30	2	no	—
1908	C₂×C₄	—	30	2	no	—
1909	C₂×C₄	—	30	2	no	—
1910	C₂×C₄	—	30	2	no	—
1911	C₂×C₄	—	30	2	no	—
1912	C₂×C₄	—	60	1	no	—
1913	C₂×C₄	—	60	1	no	—
1914	C₂×C₄	—	60	1	no	—
1915	C₂×C₄	—	60	1	no	—
1916	C₂×C₄	—	60	1	no	—
1917	C₂×C₄	—	60	1	no	—
1918	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1919	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1920	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1921	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1922	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1923	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1924	C₂×C₃	—	4	1	no	—
1925	C₂×C₃	—	20	1	no	—
1926	C₂×C₃	—	20	1	no	—
1927	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1928	C₂×C₃	C₂×#4149	1	1	yes	characteristic
1929	C₂×C₃	C₂×#4150	1	1	yes	characteristic
1930	D₃	—	4	1	no	—
1931	D₃	—	20	1	no	—
1932	D₃	—	20	1	no	—
1933	D₃	#66044	1	4	yes	direct product factor
1934	C₅	D₃×#542	1	1	yes	characteristic, complemented, Sylow
1935	C₂²	—	2	1	no	—
1936	C₂²	—	2	1	no	—
1937	C₂²	—	2	1	no	—
1938	C₂²	—	3	2	no	—
1939	C₂²	—	3	2	no	—
1940	C₂²	—	3	2	no	—
1941	C₂²	—	6	1	no	—
1942	C₂²	—	6	1	no	—
1943	C₂²	—	6	1	no	—
1944	C₂²	—	10	1	no	—
1945	C₂²	—	10	1	no	—
1946	C₂²	—	10	1	no	—
1947	C₂²	—	10	1	no	—
1948	C₂²	—	10	1	no	—
1949	C₂²	—	10	1	no	—
1950	C₂²	—	12	4	no	—
1951	C₂²	—	30	1	no	—
1952	C₂²	—	30	1	no	—
1953	C₂²	—	30	1	no	—
1954	C₂²	—	30	1	no	—
1955	C₂²	—	30	1	no	—
1956	C₂²	—	30	1	no	—
1957	C₂²	—	60	4	no	—
1958	C₂²	—	60	4	no	—
1959	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1960	C₄	—	2	1	no	—
1961	C₄	—	2	1	no	—
1962	C₄	—	2	1	no	—
1963	C₄	—	2	1	no	—
1964	C₄	—	2	1	no	—
1965	C₄	—	2	1	no	—
1966	C₄	—	5	2	no	—
1967	C₄	—	6	1	no	—
1968	C₄	—	6	1	no	—
1969	C₄	—	6	1	no	—
1970	C₄	—	6	1	no	—
1971	C₄	—	6	1	no	—
1972	C₄	—	6	1	no	—
1973	C₄	—	10	1	no	—
1974	C₄	—	10	1	no	—
1975	C₄	—	10	1	no	—
1976	C₄	—	10	1	no	—
1977	C₄	—	10	1	no	—
1978	C₄	—	15	2	no	—
1979	C₄	—	30	1	no	—
1980	C₄	—	30	1	no	—
1981	C₄	—	30	1	no	—
1982	C₄	—	30	1	no	—
1983	C₄	—	30	1	no	—
1984	C₃	C₂×#66044	1	1	yes	characteristic, complemented, Sylow
1985	C₂	—	3	4	no	—
1986	C₂	—	4	1	no	—
1987	C₂	—	12	1	no	—
1988	C₂	—	20	1	no	—
1989	C₂	—	20	1	no	—
1990	C₂	—	60	1	no	—
1991	C₂	—	60	1	no	—
1992	C₂	D₃×D₅×#41	1	1	yes	characteristic
1993	C₂	D₃×#4149	1	1	yes	characteristic
1994	C₂	D₃×#4150	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×D₃×D₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁵
Fitting	C₃×C₅×#126	C₂²
prime radical	D₃×#4030	C₂
hypercenter	#126	D₃×D₅
hypocenter	C₃×C₅	C₂×#542
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #126

Complements

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

N	H ≅ G/N	type
1. #11756469	C₂	semidirect
2. C₅×D₃×#126	C₂	semidirect
3. C₃×#66044	C₂	semidirect
4. D₃×#4044	C₂	semidirect
5. D₃×#4043	C₂	semidirect
6. D₃×#4042	C₂	semidirect
7. D₃×#4040	C₂	semidirect
8. D₃×#4038	C₂	semidirect
9. #11753798	C₂	semidirect
10. #11753790	C₂	semidirect
11. #11753739	C₂	semidirect
12. #11753729	C₂	semidirect
13. #11753628	C₂	semidirect
14. #11753552	C₂	semidirect
15. D₃×#4034	C₂	semidirect
16. D₃×#4032	C₂	semidirect
17. D₃×#4031	C₂	semidirect
18. D₃×#4031	C₂	semidirect
20. D₃×#4027	C₂	semidirect
21. #11753156	C₂	semidirect
22. #11753014	C₂	semidirect
23. #11752965	C₂	semidirect
24. #11752948	C₂	semidirect
25. #11752906	C₂	semidirect
26. D₃×#4024	C₂	semidirect
27. #11752794	C₂	semidirect
28. D₃×#4021	C₂	semidirect
29. #11752621	C₂	semidirect
30. #11752589	C₂	semidirect
31. C₄×D₃×Dic₁₀	C₂	semidirect
42. C₃×C₅×#126	C₂²	semidirect
43. #91787	C₂²	semidirect
44. #91786	C₂²	semidirect
45. #91785	C₂²	semidirect
46. #91783	C₂²	semidirect
47. #91781	C₂²	semidirect
48. #91777	C₂²	semidirect
49. #91775	C₂²	semidirect
50. #91774	C₂²	semidirect
51. #91774	C₂²	semidirect
53. #91770	C₂²	semidirect
54. #91767	C₂²	semidirect
55. #91764	C₂²	semidirect
56. C₄×Dic₃₀	C₂²	semidirect
57. C₅×#898	C₂²	semidirect
58. C₅×#898	C₂²	semidirect
59. C₅×#898	C₂²	semidirect
66. C₅×#879	C₂²	semidirect
67. C₅×#879	C₂²	semidirect
68. C₅×#879	C₂²	semidirect
69. C₅×#876	C₂²	semidirect
71. C₃×#4044	C₂²	semidirect
72. C₃×#4043	C₂²	semidirect
73. C₃×#4042	C₂²	semidirect
74. C₃×#4040	C₂²	semidirect
75. C₃×#4038	C₂²	semidirect
76. C₃×#4034	C₂²	semidirect
77. C₃×#4032	C₂²	semidirect
78. C₃×#4031	C₂²	semidirect
79. C₃×#4031	C₂²	semidirect
81. C₃×#4027	C₂²	semidirect
82. C₃×#4024	C₂²	semidirect
83. C₃×#4021	C₂²	semidirect
84. C₃×C₄×Dic₁₀	C₂²	semidirect
85. #91576	C₂²	semidirect
86. #91574	C₂²	semidirect
87. #91559	C₂²	semidirect
89. #91552	C₂²	semidirect
91. #91546	C₂²	semidirect
92. #91537	C₂²	semidirect
93. #91534	C₂²	semidirect
94. #91534	C₂²	semidirect
96. #91526	C₂²	semidirect
97. #91526	C₂²	semidirect
106. #91470	C₂²	semidirect
107. #91468	C₂²	semidirect
108. C₄×#1204	C₂²	semidirect
109. C₄×#1204	C₂²	semidirect
110. #91464	C₂²	semidirect
111. #91464	C₂²	semidirect
112. #91462	C₂²	semidirect
113. #91462	C₂²	semidirect
115. #91457	C₂²	semidirect
116. #91457	C₂²	semidirect
118. #91442	C₂²	semidirect
119. #91440	C₂²	semidirect
120. #91436	C₂²	semidirect
121. #91433	C₂²	semidirect
122. #91432	C₂²	semidirect
123. #91431	C₂²	semidirect
124. #91430	C₂²	semidirect
125. #91429	C₂²	semidirect
126. #91429	C₂²	semidirect
127. #91427	C₂²	semidirect
128. #91427	C₂²	semidirect
132. #91422	C₂²	semidirect
133. #91422	C₂²	semidirect
135. #91419	C₂²	semidirect
136. #91417	C₂²	semidirect
137. #91413	C₂²	semidirect
138. #91411	C₂²	semidirect
139. #91410	C₂²	semidirect
141. #91407	C₂²	semidirect
142. #91406	C₂²	semidirect
143. #91405	C₂²	semidirect
144. #91402	C₂²	semidirect
145. #91402	C₂²	semidirect
153. #91394	C₂²	semidirect
154. #91394	C₂²	semidirect
155. #91390	C₂²	semidirect
156. #91387	C₂²	semidirect
157. #91377	C₂²	semidirect
158. #91374	C₂²	semidirect
159. #91366	C₂²	semidirect
160. #91364	C₂²	semidirect
161. #91362	C₂²	semidirect
162. #91361	C₂²	semidirect
163. #91360	C₂²	semidirect
164. #91358	C₂²	semidirect
165. #91356	C₂²	semidirect
166. #91354	C₂²	semidirect
167. #91353	C₂²	semidirect
168. #91353	C₂²	semidirect
169. #91353	C₂²	semidirect
170. #91353	C₂²	semidirect
171. #91350	C₂²	semidirect
172. #91350	C₂²	semidirect
173. #91349	C₂²	semidirect
174. #91348	C₂²	semidirect
175. #91347	C₂²	semidirect
176. #91345	C₂²	semidirect
177. #91340	C₂²	semidirect
178. #91337	C₂²	semidirect
179. Dic₃×Dic₁₀	C₂²	semidirect
180. #91328	C₂²	semidirect
181. #91328	C₂²	semidirect
182. #91327	C₂²	semidirect
183. #91327	C₂²	semidirect
184. #91326	C₂²	semidirect
185. #91326	C₂²	semidirect
186. #91324	C₂²	semidirect
187. #91324	C₂²	semidirect
205. #66044	D₃	direct (N × H)
390. D₃×#126	D₅	semidirect
431. C₅×#126	C₂×D₃	semidirect
465. #4044	C₂×D₃	semidirect
473. #4043	C₂×D₃	semidirect
481. #4042	C₂×D₃	semidirect
489. #4040	C₂×D₃	semidirect
497. #4038	C₂×D₃	semidirect
505. #4034	C₂×D₃	semidirect
513. #4032	C₂×D₃	semidirect
528. #4031	C₂×D₃	semidirect
529. #4031	C₂×D₃	semidirect
545. #4027	C₂×D₃	semidirect
553. #4024	C₂×D₃	semidirect
561. #4021	C₂×D₃	semidirect
569. C₄×Dic₁₀	C₂×D₃	semidirect
670. C₃×#126	C₂×D₅	semidirect
713. #898	C₂×D₅	semidirect
714. #898	C₂×D₅	semidirect
715. #898	C₂×D₅	semidirect
787. #879	C₂×D₅	semidirect
788. #879	C₂×D₅	semidirect
789. #879	C₂×D₅	semidirect
799. #876	C₂×D₅	semidirect
1342. #126	D₃×D₅	semidirect
1474. C₅×D₃	#542	semidirect
1776. C₃×C₅	C₂×#542	semidirect
1933. D₃	#66044	direct (N × H)
1934. C₅	D₃×#542	semidirect
1984. C₃	C₂×#66044	semidirect

Maximal subgroups

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

subgroup	index
#11756469	2
C₅×D₃×#126	2
C₃×#66044	2
D₃×#4044	2
D₃×#4043	2
D₃×#4042	2
D₃×#4040	2
D₃×#4038	2
#11753798	2
#11753790	2
#11753739	2
#11753729	2
#11753628	2
#11753552	2
D₃×#4034	2
D₃×#4032	2
D₃×#4031	2
D₃×#4030	2
D₃×#4027	2
#11753156	2
#11753014	2
#11752965	2
#11752948	2
#11752906	2
D₃×#4024	2
#11752794	2
D₃×#4021	2
#11752621	2
#11752589	2
C₄×D₃×Dic₁₀	2
C₂×#66044	3
D₃×#542	5

Subgroups — D3×#66044 #14481489

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₃×#66044 #14481489