Subgroups — C₃×#36157 #10654764

Order 768.

3032 conjugacy classes of subgroups.

The subgroup lattice has 1306 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×C₄×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2851	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2847	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2847	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2562	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2535	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2487	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2485	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2481	C₂	1	2	yes	maximal, complemented
11	C₃×#2467	C₂	1	2	yes	maximal, complemented
12	C₃×#2457	C₂	1	2	yes	maximal, complemented
13	C₃×#2444	C₂	1	2	yes	maximal, complemented
14	C₃×#2418	C₂	1	2	yes	maximal, complemented
15	C₃×#2416	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2414	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2410	C₂	1	2	yes	maximal, complemented
18	C₃×#2364	C₂	1	2	yes	maximal, complemented
19	C₃×#2358	C₂	1	2	yes	maximal, complemented
20	C₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2280	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#380	C₂	1	1	yes	maximal, characteristic, complemented
24	#36157	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
26	C₂⁴×C₃×C₄	C₂²	1	1	yes	characteristic
27	C₂⁴×C₃×C₄	C₂²	1	1	yes	characteristic
28	C₃×#553	—	2	8	no	—
29	C₂×C₃×#126	C₂²	1	2	yes	complemented
30	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×#123	C₂²	1	2	yes	complemented
32	C₂×C₃×#121	C₂²	1	2	yes	—
33	C₂×C₃×#121	C₂²	1	2	yes	—
34	C₂×C₃×#121	C₂²	1	1	yes	characteristic
35	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×#120	C₂²	1	2	yes	—
40	C₂×C₃×#120	C₂²	1	2	yes	—
41	C₂×C₃×C₄×D₄	—	2	8	no	—
42	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
48	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
50	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
51	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
52	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
61	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
62	C₃×#400	C₂²	1	2	yes	complemented
63	C₃×#400	C₂²	1	2	yes	complemented
64	C₃×#399	C₂²	1	2	yes	complemented
65	C₃×#397	C₂²	1	2	yes	complemented
66	C₃×#397	C₂²	1	2	yes	complemented
67	C₃×#396	C₂²	1	2	yes	complemented
68	C₃×#394	C₂²	1	2	yes	—
69	C₃×#394	C₂²	1	2	yes	—
70	C₃×#394	C₂²	1	2	yes	complemented
71	C₃×#394	C₂²	1	2	yes	complemented
72	C₃×#392	C₂²	1	2	yes	—
73	C₃×#392	C₂²	1	2	yes	—
74	C₃×#390	C₂²	1	1	yes	characteristic, complemented
75	C₃×#390	C₂²	1	2	yes	complemented
76	C₃×#389	C₂²	1	1	yes	characteristic, complemented
77	C₃×#389	C₂²	1	1	yes	characteristic, complemented
78	C₃×#389	C₂²	1	1	yes	characteristic, complemented
79	C₃×#388	C₂²	1	2	yes	complemented
80	C₃×#388	C₂²	1	2	yes	complemented
81	C₃×#388	C₂²	1	2	yes	complemented
82	C₃×#388	C₂²	1	2	yes	complemented
83	C₃×#388	C₂²	1	2	yes	complemented
84	C₃×#388	C₂²	1	2	yes	complemented
85	C₃×#387	C₂²	1	2	yes	complemented
86	C₃×#387	C₂²	1	2	yes	complemented
87	C₃×#387	C₂²	1	2	yes	complemented
88	C₃×#387	C₂²	1	2	yes	complemented
89	C₃×#386	C₂²	1	2	yes	—
90	C₃×#386	C₂²	1	2	yes	—
91	C₃×#386	C₂²	1	2	yes	—
92	C₃×#386	C₂²	1	2	yes	—
93	C₃×#386	C₂²	1	2	yes	—
94	C₃×#386	C₂²	1	2	yes	complemented
95	C₃×#386	C₂²	1	2	yes	complemented
96	C₃×#386	C₂²	1	2	yes	complemented
97	C₃×#386	C₂²	1	2	yes	complemented
98	C₃×#386	C₂²	1	2	yes	complemented
99	C₃×#386	C₂²	1	2	yes	complemented
100	C₃×#386	C₂²	1	2	yes	complemented
101	C₃×#385	C₂²	1	2	yes	—
102	C₃×#385	C₂²	1	2	yes	—
103	C₃×#385	C₂²	1	2	yes	complemented
104	C₃×#382	C₂²	1	1	yes	characteristic, complemented
105	C₃×#381	C₂²	1	2	yes	complemented
106	C₃×#380	C₂²	1	2	yes	—
107	C₃×#380	C₂²	1	1	yes	characteristic
108	C₃×#380	C₂²	1	1	yes	characteristic
109	C₃×#380	C₂²	1	1	yes	characteristic
110	C₃×#380	C₂²	1	1	yes	characteristic, complemented
111	C₃×#380	C₂²	1	1	yes	characteristic, complemented
112	C₃×#380	C₂²	1	2	yes	complemented
113	C₃×#380	C₂²	1	1	yes	characteristic, complemented
114	C₃×#380	C₂²	1	1	yes	characteristic, complemented
115	C₃×#380	C₂²	1	1	yes	characteristic, complemented
116	C₃×#380	C₂²	1	1	yes	characteristic, complemented
117	C₃×#380	C₂²	1	1	yes	characteristic, complemented
118	C₃×#380	C₂²	1	1	yes	characteristic, complemented
119	C₃×#379	C₂²	1	2	yes	—
120	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
123	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
124	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
125	C₂×C₃×#95	C₂²	1	2	yes	complemented
126	C₂×#553	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂²×C₄×D₄	C₂×C₃	1	1	yes	characteristic, complemented
128	#2851	C₂×C₃	1	1	yes	characteristic, complemented
129	#2847	C₂×C₃	1	1	yes	characteristic, complemented
130	#2847	C₂×C₃	1	1	yes	characteristic, complemented
131	#2562	C₂×C₃	1	1	yes	characteristic, complemented
132	#2535	C₂×C₃	1	1	yes	characteristic, complemented
133	#2487	C₂×C₃	1	1	yes	characteristic, complemented
134	#2485	C₂×C₃	1	1	yes	characteristic, complemented
135	#2481	C₂×C₃	1	2	yes	complemented
136	#2467	C₂×C₃	1	2	yes	complemented
137	#2457	C₂×C₃	1	2	yes	complemented
138	#2444	C₂×C₃	1	2	yes	complemented
139	#2418	C₂×C₃	1	2	yes	complemented
140	#2416	C₂×C₃	1	1	yes	characteristic, complemented
141	#2414	C₂×C₃	1	1	yes	characteristic, complemented
142	#2410	C₂×C₃	1	2	yes	complemented
143	#2364	C₂×C₃	1	2	yes	complemented
144	#2358	C₂×C₃	1	2	yes	complemented
145	#2352	C₂×C₃	1	1	yes	characteristic, complemented
146	C₄×#121	C₂×C₃	1	1	yes	characteristic, complemented
147	#2280	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂×#380	C₂×C₃	1	1	yes	characteristic, complemented
149	C₂⁵×C₃	C₂³	1	1	yes	characteristic
150	C₂⁵×C₃	C₂³	1	1	yes	characteristic
151	C₂²×C₃×D₄	—	2	4	no	—
152	C₂²×C₃×D₄	—	2	4	no	—
153	C₂²×C₃×D₄	—	2	4	no	—
154	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
155	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
156	C₂²×C₃×D₄	C₂³	1	2	yes	—
157	C₂²×C₃×D₄	C₂³	1	2	yes	—
158	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
159	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
160	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
161	C₂²×C₃×D₄	C₂³	1	2	yes	—
162	C₂²×C₃×D₄	C₂³	1	2	yes	—
163	C₂²×C₃×D₄	C₂³	1	2	yes	—
164	C₂³×C₃×C₄	—	2	4	no	—
165	C₂³×C₃×C₄	—	2	4	no	—
166	C₂³×C₃×C₄	—	2	4	no	—
167	C₂³×C₃×C₄	—	2	4	no	—
168	C₂³×C₃×C₄	—	4	2	no	—
169	C₂³×C₃×C₄	—	4	2	no	—
170	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
171	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
172	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
173	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
174	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
175	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
176	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
177	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
178	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
179	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
180	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
181	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
182	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
183	C₂³×C₃×C₄	C₂³	1	2	yes	—
184	C₂³×C₃×C₄	C₂³	1	2	yes	—
185	C₂³×C₃×C₄	C₂³	1	2	yes	—
186	C₃×#126	—	2	8	no	—
187	C₃×#125	—	2	4	no	—
188	C₃×#123	—	2	8	no	—
189	C₃×#121	—	2	8	no	—
190	C₃×#121	—	2	8	no	—
191	C₃×#121	—	2	4	no	—
192	C₃×#121	—	2	4	no	—
193	C₃×#121	—	2	4	no	—
194	C₃×#121	—	4	2	no	—
195	C₃×#121	—	4	2	no	—
196	C₃×#120	—	2	8	no	—
197	C₃×#120	—	4	4	no	—
198	C₃×C₄×D₄	—	2	4	no	—
199	C₃×C₄×D₄	—	2	4	no	—
200	C₃×C₄×D₄	—	2	4	no	—
201	C₃×C₄×D₄	—	2	4	no	—
202	C₃×C₄×D₄	—	2	4	no	—
203	C₃×C₄×D₄	—	2	4	no	—
204	C₃×C₄×D₄	—	2	8	no	—
205	C₃×C₄×D₄	—	2	4	no	—
206	C₃×C₄×D₄	—	2	4	no	—
207	C₃×C₄×D₄	—	4	4	no	—
208	C₃×C₄×D₄	D₄	1	8	yes	complemented
209	C₃×#117	—	2	4	no	—
210	C₃×#117	—	4	2	no	—
211	C₂×C₃×C₄⋊C₄	—	2	4	no	—
212	C₂×C₃×C₄⋊C₄	—	2	4	no	—
213	C₂×C₃×C₄⋊C₄	—	4	2	no	—
214	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
222	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
223	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
224	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
225	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
229	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
230	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
233	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
234	C₂×C₃×C₂²⋊C₄	—	4	4	no	—
235	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
239	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
240	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
243	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
244	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
246	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
247	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
248	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
254	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
255	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
256	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
257	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
258	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
259	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
260	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
261	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
262	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄²	—	2	4	no	—
265	C₂×C₃×C₄²	C₂³	1	2	yes	—
266	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄²	C₂³	1	2	yes	—
270	C₂×C₃×C₄²	C₂³	1	2	yes	—
271	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
272	C₃×#95	C₂³	1	2	yes	—
273	C₃×#95	C₂³	1	2	yes	—
274	C₃×#95	C₂³	1	2	yes	—
275	C₃×#95	C₂³	1	2	yes	—
276	C₃×#95	C₂³	1	2	yes	—
277	C₃×#95	C₂³	1	2	yes	—
278	C₃×#95	C₂³	1	2	yes	—
279	C₃×#95	C₂³	1	2	yes	—
280	C₃×#95	C₂³	1	2	yes	—
281	C₃×#95	C₂³	1	2	yes	—
282	C₃×#95	C₂³	1	2	yes	—
283	C₃×#95	C₂³	1	2	yes	—
284	C₃×#95	C₂³	1	2	yes	—
285	C₃×#95	C₂³	1	2	yes	—
286	C₃×#95	C₂³	1	2	yes	—
287	C₃×#95	C₂³	1	2	yes	—
288	C₃×#95	C₂³	1	2	yes	—
289	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
290	C₂⁴×C₄	C₂²×C₃	1	1	yes	characteristic
291	C₂⁴×C₄	C₂²×C₃	1	1	yes	characteristic
292	#553	—	2	8	no	—
293	C₂×#126	C₂²×C₃	1	2	yes	complemented
294	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
295	C₂×#123	C₂²×C₃	1	2	yes	complemented
296	C₂×#121	C₂²×C₃	1	1	yes	characteristic
297	C₂×#121	C₂²×C₃	1	2	yes	—
298	C₂×#121	C₂²×C₃	1	2	yes	—
299	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
300	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
301	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
302	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
303	C₂×#120	C₂²×C₃	1	2	yes	—
304	C₂×#120	C₂²×C₃	1	2	yes	—
305	C₂×C₄×D₄	—	2	8	no	—
306	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
307	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
308	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
309	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
310	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
311	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
312	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
313	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
314	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
315	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
316	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
317	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
318	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
319	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
320	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
321	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
322	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
323	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
324	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
325	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
326	#400	C₂²×C₃	1	2	yes	complemented
327	#400	C₂²×C₃	1	2	yes	complemented
328	#399	C₂²×C₃	1	2	yes	complemented
329	#397	C₂²×C₃	1	2	yes	complemented
330	#397	C₂²×C₃	1	2	yes	complemented
331	#396	C₂²×C₃	1	2	yes	complemented
332	#394	C₂²×C₃	1	2	yes	—
333	#394	C₂²×C₃	1	2	yes	—
334	#394	C₂²×C₃	1	2	yes	complemented
335	#394	C₂²×C₃	1	2	yes	complemented
336	#392	C₂²×C₃	1	2	yes	—
337	#392	C₂²×C₃	1	2	yes	—
338	#390	C₂²×C₃	1	2	yes	complemented
339	#390	C₂²×C₃	1	1	yes	characteristic, complemented
340	#389	C₂²×C₃	1	1	yes	characteristic, complemented
341	#389	C₂²×C₃	1	1	yes	characteristic, complemented
342	#389	C₂²×C₃	1	1	yes	characteristic, complemented
343	#388	C₂²×C₃	1	2	yes	complemented
344	#388	C₂²×C₃	1	2	yes	complemented
345	#388	C₂²×C₃	1	2	yes	complemented
346	#388	C₂²×C₃	1	2	yes	complemented
347	#388	C₂²×C₃	1	2	yes	complemented
348	#388	C₂²×C₃	1	2	yes	complemented
349	#387	C₂²×C₃	1	2	yes	complemented
350	#387	C₂²×C₃	1	2	yes	complemented
351	#387	C₂²×C₃	1	2	yes	complemented
352	#387	C₂²×C₃	1	2	yes	complemented
353	#386	C₂²×C₃	1	2	yes	—
354	#386	C₂²×C₃	1	2	yes	—
355	#386	C₂²×C₃	1	2	yes	—
356	#386	C₂²×C₃	1	2	yes	—
357	#386	C₂²×C₃	1	2	yes	—
358	#386	C₂²×C₃	1	2	yes	complemented
359	#386	C₂²×C₃	1	2	yes	complemented
360	#386	C₂²×C₃	1	2	yes	complemented
361	#386	C₂²×C₃	1	2	yes	complemented
362	#386	C₂²×C₃	1	2	yes	complemented
363	#386	C₂²×C₃	1	2	yes	complemented
364	#386	C₂²×C₃	1	2	yes	complemented
365	#385	C₂²×C₃	1	2	yes	—
366	#385	C₂²×C₃	1	2	yes	—
367	#385	C₂²×C₃	1	2	yes	complemented
368	#382	C₂²×C₃	1	1	yes	characteristic, complemented
369	#381	C₂²×C₃	1	2	yes	complemented
370	#380	C₂²×C₃	1	1	yes	characteristic
371	#380	C₂²×C₃	1	1	yes	characteristic
372	#380	C₂²×C₃	1	2	yes	—
373	#380	C₂²×C₃	1	1	yes	characteristic
374	#380	C₂²×C₃	1	1	yes	characteristic, complemented
375	#380	C₂²×C₃	1	1	yes	characteristic, complemented
376	#380	C₂²×C₃	1	1	yes	characteristic, complemented
377	#380	C₂²×C₃	1	1	yes	characteristic, complemented
378	#380	C₂²×C₃	1	1	yes	characteristic, complemented
379	#380	C₂²×C₃	1	1	yes	characteristic, complemented
380	#380	C₂²×C₃	1	2	yes	complemented
381	#380	C₂²×C₃	1	1	yes	characteristic, complemented
382	#380	C₂²×C₃	1	1	yes	characteristic, complemented
383	#379	C₂²×C₃	1	2	yes	—
384	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
385	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
386	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
387	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
388	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
389	C₂×#95	C₂²×C₃	1	2	yes	complemented
390	C₂⁴×C₃	—	2	2	no	—
391	C₂⁴×C₃	—	2	2	no	—
392	C₂⁴×C₃	—	2	2	no	—
393	C₂⁴×C₃	—	2	2	no	—
394	C₂⁴×C₃	—	2	2	no	—
395	C₂⁴×C₃	—	2	2	no	—
396	C₂⁴×C₃	—	2	2	no	—
397	C₂⁴×C₃	—	2	2	no	—
398	C₂⁴×C₃	—	2	2	no	—
399	C₂⁴×C₃	—	4	1	no	—
400	C₂⁴×C₃	—	4	1	no	—
401	C₂⁴×C₃	—	4	1	no	—
402	C₂⁴×C₃	—	4	1	no	—
403	C₂⁴×C₃	#41	1	4	yes	—
404	C₂⁴×C₃	C₂⁴	1	2	yes	—
405	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
407	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
408	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
409	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
410	C₂×C₃×D₄	—	2	32	no	—
411	C₂×C₃×D₄	—	2	2	no	—
412	C₂×C₃×D₄	—	2	2	no	—
413	C₂×C₃×D₄	—	2	2	no	—
414	C₂×C₃×D₄	—	2	2	no	—
415	C₂×C₃×D₄	—	2	2	no	—
416	C₂×C₃×D₄	—	2	2	no	—
417	C₂×C₃×D₄	—	2	2	no	—
418	C₂×C₃×D₄	—	2	2	no	—
419	C₂×C₃×D₄	—	2	4	no	—
420	C₂×C₃×D₄	—	2	4	no	—
421	C₂×C₃×D₄	—	2	4	no	—
422	C₂×C₃×D₄	—	2	4	no	—
423	C₂×C₃×D₄	—	2	4	no	—
424	C₂×C₃×D₄	—	2	4	no	—
425	C₂×C₃×D₄	—	2	4	no	—
426	C₂×C₃×D₄	—	2	4	no	—
427	C₂×C₃×D₄	—	2	4	no	—
428	C₂×C₃×D₄	—	2	2	no	—
429	C₂×C₃×D₄	—	2	2	no	—
430	C₂×C₃×D₄	—	2	2	no	—
431	C₂×C₃×D₄	—	2	2	no	—
432	C₂×C₃×D₄	—	2	2	no	—
433	C₂×C₃×D₄	—	4	2	no	—
434	C₂×C₃×D₄	—	4	2	no	—
435	C₂×C₃×D₄	—	4	2	no	—
436	C₂×C₃×D₄	—	4	2	no	—
437	C₂×C₃×D₄	—	4	2	no	—
438	C₂×C₃×D₄	—	4	2	no	—
439	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
440	C₂×C₃×D₄	#41	1	4	yes	—
441	C₂²×C₃×C₄	—	2	2	no	—
442	C₂²×C₃×C₄	—	2	2	no	—
443	C₂²×C₃×C₄	—	2	2	no	—
444	C₂²×C₃×C₄	—	2	2	no	—
445	C₂²×C₃×C₄	—	2	2	no	—
446	C₂²×C₃×C₄	—	2	2	no	—
447	C₂²×C₃×C₄	—	2	2	no	—
448	C₂²×C₃×C₄	—	2	2	no	—
449	C₂²×C₃×C₄	—	2	2	no	—
450	C₂²×C₃×C₄	—	2	2	no	—
451	C₂²×C₃×C₄	—	2	2	no	—
452	C₂²×C₃×C₄	—	2	2	no	—
453	C₂²×C₃×C₄	—	2	2	no	—
454	C₂²×C₃×C₄	—	2	2	no	—
455	C₂²×C₃×C₄	—	2	4	no	—
456	C₂²×C₃×C₄	—	2	4	no	—
457	C₂²×C₃×C₄	—	2	2	no	—
458	C₂²×C₃×C₄	—	2	2	no	—
459	C₂²×C₃×C₄	—	2	2	no	—
460	C₂²×C₃×C₄	—	2	2	no	—
461	C₂²×C₃×C₄	—	2	2	no	—
462	C₂²×C₃×C₄	—	2	2	no	—
463	C₂²×C₃×C₄	—	2	2	no	—
464	C₂²×C₃×C₄	—	2	2	no	—
465	C₂²×C₃×C₄	—	2	2	no	—
466	C₂²×C₃×C₄	—	2	2	no	—
467	C₂²×C₃×C₄	—	2	2	no	—
468	C₂²×C₃×C₄	—	2	2	no	—
469	C₂²×C₃×C₄	—	2	2	no	—
470	C₂²×C₃×C₄	—	2	2	no	—
471	C₂²×C₃×C₄	—	2	2	no	—
472	C₂²×C₃×C₄	—	2	4	no	—
473	C₂²×C₃×C₄	—	4	1	no	—
474	C₂²×C₃×C₄	—	4	1	no	—
475	C₂²×C₃×C₄	—	4	1	no	—
476	C₂²×C₃×C₄	—	4	1	no	—
477	C₂²×C₃×C₄	—	4	1	no	—
478	C₂²×C₃×C₄	—	4	1	no	—
479	C₂²×C₃×C₄	—	4	1	no	—
480	C₂²×C₃×C₄	—	4	16	no	—
481	C₂²×C₃×C₄	—	4	16	no	—
482	C₂²×C₃×C₄	—	4	2	no	—
483	C₂²×C₃×C₄	—	4	2	no	—
484	C₂²×C₃×C₄	—	4	2	no	—
485	C₂²×C₃×C₄	—	4	2	no	—
486	C₂²×C₃×C₄	—	4	2	no	—
487	C₂²×C₃×C₄	—	4	2	no	—
488	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
489	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
490	C₂²×C₃×C₄	#41	1	4	yes	—
491	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
492	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
493	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
494	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
495	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
496	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
497	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
498	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
499	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
500	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
501	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
502	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
503	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
504	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
505	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
506	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
507	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
508	C₃×C₄⋊C₄	—	2	2	no	—
509	C₃×C₄⋊C₄	—	2	2	no	—
510	C₃×C₄⋊C₄	—	2	2	no	—
511	C₃×C₄⋊C₄	—	2	2	no	—
512	C₃×C₄⋊C₄	—	2	2	no	—
513	C₃×C₄⋊C₄	—	2	4	no	—
514	C₃×C₄⋊C₄	—	2	2	no	—
515	C₃×C₄⋊C₄	—	2	4	no	—
516	C₃×C₄⋊C₄	—	2	4	no	—
517	C₃×C₄⋊C₄	—	2	2	no	—
518	C₃×C₄⋊C₄	—	2	4	no	—
519	C₃×C₄⋊C₄	—	2	2	no	—
520	C₃×C₄⋊C₄	—	2	2	no	—
521	C₃×C₄⋊C₄	—	2	2	no	—
522	C₃×C₄⋊C₄	—	4	2	no	—
523	C₃×C₄⋊C₄	—	4	2	no	—
524	C₃×C₄⋊C₄	—	4	2	no	—
525	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
526	C₃×C₂²⋊C₄	—	2	2	no	—
527	C₃×C₂²⋊C₄	—	2	2	no	—
528	C₃×C₂²⋊C₄	—	2	4	no	—
529	C₃×C₂²⋊C₄	—	2	4	no	—
530	C₃×C₂²⋊C₄	—	2	4	no	—
531	C₃×C₂²⋊C₄	—	2	4	no	—
532	C₃×C₂²⋊C₄	—	2	4	no	—
533	C₃×C₂²⋊C₄	—	2	4	no	—
534	C₃×C₂²⋊C₄	—	2	4	no	—
535	C₃×C₂²⋊C₄	—	2	2	no	—
536	C₃×C₂²⋊C₄	—	2	2	no	—
537	C₃×C₂²⋊C₄	—	2	2	no	—
538	C₃×C₂²⋊C₄	—	2	2	no	—
539	C₃×C₂²⋊C₄	—	2	4	no	—
540	C₃×C₂²⋊C₄	—	2	4	no	—
541	C₃×C₂²⋊C₄	—	2	4	no	—
542	C₃×C₂²⋊C₄	—	2	4	no	—
543	C₃×C₂²⋊C₄	—	2	4	no	—
544	C₃×C₂²⋊C₄	—	4	2	no	—
545	C₃×C₂²⋊C₄	—	4	2	no	—
546	C₃×C₂²⋊C₄	—	4	2	no	—
547	C₃×C₂²⋊C₄	—	4	2	no	—
548	C₃×C₂²⋊C₄	—	4	2	no	—
549	C₃×C₂²⋊C₄	—	4	2	no	—
550	C₃×C₂²⋊C₄	—	4	2	no	—
551	C₃×C₂²⋊C₄	—	4	2	no	—
552	C₃×C₂²⋊C₄	—	4	2	no	—
553	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
554	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
555	C₃×C₄²	—	2	2	no	—
556	C₃×C₄²	—	2	2	no	—
557	C₃×C₄²	—	2	2	no	—
558	C₃×C₄²	—	2	4	no	—
559	C₃×C₄²	—	4	2	no	—
560	C₃×C₄²	—	4	2	no	—
561	C₃×C₄²	C₂×D₄	1	4	yes	—
562	C₂⁵	C₂³×C₃	1	1	yes	characteristic
563	C₂⁵	C₂³×C₃	1	1	yes	characteristic
564	C₂²×D₄	—	2	4	no	—
565	C₂²×D₄	—	2	4	no	—
566	C₂²×D₄	—	2	4	no	—
567	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
568	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
569	C₂²×D₄	C₂³×C₃	1	2	yes	—
570	C₂²×D₄	C₂³×C₃	1	2	yes	—
571	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
572	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
573	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
574	C₂²×D₄	C₂³×C₃	1	2	yes	—
575	C₂²×D₄	C₂³×C₃	1	2	yes	—
576	C₂²×D₄	C₂³×C₃	1	2	yes	—
577	C₂³×C₄	—	2	4	no	—
578	C₂³×C₄	—	2	4	no	—
579	C₂³×C₄	—	2	4	no	—
580	C₂³×C₄	—	2	4	no	—
581	C₂³×C₄	—	4	2	no	—
582	C₂³×C₄	—	4	2	no	—
583	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
584	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
585	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
586	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
587	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
588	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
589	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
590	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
591	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
592	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
593	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
594	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
595	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
596	C₂³×C₄	C₂³×C₃	1	2	yes	—
597	C₂³×C₄	C₂³×C₃	1	2	yes	—
598	C₂³×C₄	C₂³×C₃	1	2	yes	—
599	#126	—	2	8	no	—
600	#125	—	2	4	no	—
601	#123	—	2	8	no	—
602	#121	—	2	8	no	—
603	#121	—	2	8	no	—
604	#121	—	2	4	no	—
605	#121	—	2	4	no	—
606	#121	—	2	4	no	—
607	#121	—	4	2	no	—
608	#121	—	4	2	no	—
609	#120	—	2	8	no	—
610	#120	—	4	4	no	—
611	C₄×D₄	—	2	4	no	—
612	C₄×D₄	—	2	4	no	—
613	C₄×D₄	—	2	4	no	—
614	C₄×D₄	—	2	4	no	—
615	C₄×D₄	—	2	4	no	—
616	C₄×D₄	—	2	4	no	—
617	C₄×D₄	—	2	8	no	—
618	C₄×D₄	—	2	4	no	—
619	C₄×D₄	—	2	4	no	—
620	C₄×D₄	—	4	4	no	—
621	C₄×D₄	C₃×D₄	1	8	yes	complemented
622	#117	—	2	4	no	—
623	#117	—	4	2	no	—
624	C₂×C₄⋊C₄	—	2	4	no	—
625	C₂×C₄⋊C₄	—	2	4	no	—
626	C₂×C₄⋊C₄	—	4	2	no	—
627	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
638	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
639	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
641	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
642	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
643	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
644	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
645	C₂×C₂²⋊C₄	—	2	4	no	—
646	C₂×C₂²⋊C₄	—	2	4	no	—
647	C₂×C₂²⋊C₄	—	4	4	no	—
648	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
649	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
652	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
653	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
654	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
657	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
677	C₂×C₄²	—	2	4	no	—
678	C₂×C₄²	C₂³×C₃	1	2	yes	—
679	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
680	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
681	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
682	C₂×C₄²	C₂³×C₃	1	2	yes	—
683	C₂×C₄²	C₂³×C₃	1	2	yes	—
684	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
685	#95	C₂³×C₃	1	2	yes	—
686	#95	C₂³×C₃	1	2	yes	—
687	#95	C₂³×C₃	1	2	yes	—
688	#95	C₂³×C₃	1	2	yes	—
689	#95	C₂³×C₃	1	2	yes	—
690	#95	C₂³×C₃	1	2	yes	—
691	#95	C₂³×C₃	1	2	yes	—
692	#95	C₂³×C₃	1	2	yes	—
693	#95	C₂³×C₃	1	2	yes	—
694	#95	C₂³×C₃	1	2	yes	—
695	#95	C₂³×C₃	1	2	yes	—
696	#95	C₂³×C₃	1	2	yes	—
697	#95	C₂³×C₃	1	2	yes	—
698	#95	C₂³×C₃	1	2	yes	—
699	#95	C₂³×C₃	1	2	yes	—
700	#95	C₂³×C₃	1	2	yes	—
701	#95	C₂³×C₃	1	2	yes	—
702	C₂³×C₃	—	2	1	no	—
703	C₂³×C₃	—	2	1	no	—
704	C₂³×C₃	—	2	1	no	—
705	C₂³×C₃	—	2	1	no	—
706	C₂³×C₃	—	2	1	no	—
707	C₂³×C₃	—	2	1	no	—
708	C₂³×C₃	—	2	1	no	—
709	C₂³×C₃	—	2	1	no	—
710	C₂³×C₃	—	2	8	no	—
711	C₂³×C₃	—	2	8	no	—
712	C₂³×C₃	—	2	8	no	—
713	C₂³×C₃	—	2	1	no	—
714	C₂³×C₃	—	2	1	no	—
715	C₂³×C₃	—	2	1	no	—
716	C₂³×C₃	—	2	1	no	—
717	C₂³×C₃	—	2	1	no	—
718	C₂³×C₃	—	2	1	no	—
719	C₂³×C₃	—	2	1	no	—
720	C₂³×C₃	—	2	1	no	—
721	C₂³×C₃	—	2	1	no	—
722	C₂³×C₃	—	2	1	no	—
723	C₂³×C₃	—	2	1	no	—
724	C₂³×C₃	—	2	1	no	—
725	C₂³×C₃	—	2	1	no	—
726	C₂³×C₃	—	2	1	no	—
727	C₂³×C₃	—	2	1	no	—
728	C₂³×C₃	—	2	1	no	—
729	C₂³×C₃	—	2	1	no	—
730	C₂³×C₃	—	2	1	no	—
731	C₂³×C₃	—	2	2	no	—
732	C₂³×C₃	—	2	2	no	—
733	C₂³×C₃	—	2	2	no	—
734	C₂³×C₃	—	2	2	no	—
735	C₂³×C₃	—	2	2	no	—
736	C₂³×C₃	—	2	2	no	—
737	C₂³×C₃	—	2	2	no	—
738	C₂³×C₃	—	4	4	no	—
739	C₂³×C₃	—	4	4	no	—
740	C₂³×C₃	—	4	4	no	—
741	C₂³×C₃	—	4	4	no	—
742	C₂³×C₃	—	4	4	no	—
743	C₂³×C₃	—	4	4	no	—
744	C₂³×C₃	—	4	4	no	—
745	C₂³×C₃	—	4	4	no	—
746	C₂³×C₃	—	4	4	no	—
747	C₂³×C₃	—	4	4	no	—
748	C₂³×C₃	—	4	4	no	—
749	C₂³×C₃	C₂²×D₄	1	2	yes	—
750	C₂³×C₃	C₂²×D₄	1	2	yes	—
751	C₂³×C₃	C₂×#41	1	2	yes	—
752	C₂³×C₃	C₂×#41	1	2	yes	—
753	C₂³×C₃	C₂×#41	1	2	yes	—
754	C₂³×C₃	C₂×#41	1	2	yes	—
755	C₂³×C₃	C₂×#41	1	2	yes	—
756	C₂³×C₃	C₂×#41	1	2	yes	—
757	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
758	C₂³×C₃	C₂⁵	1	1	yes	characteristic
759	C₃×D₄	—	2	8	no	—
760	C₃×D₄	—	2	8	no	—
761	C₃×D₄	—	2	8	no	—
762	C₃×D₄	—	2	8	no	—
763	C₃×D₄	—	4	8	no	—
764	C₃×D₄	—	4	8	no	—
765	C₃×D₄	—	4	4	no	—
766	C₃×D₄	—	8	4	no	—
767	C₃×D₄	—	8	4	no	—
768	C₃×D₄	—	8	4	no	—
769	C₂×C₃×C₄	—	2	8	no	—
770	C₂×C₃×C₄	—	2	1	no	—
771	C₂×C₃×C₄	—	2	1	no	—
772	C₂×C₃×C₄	—	2	1	no	—
773	C₂×C₃×C₄	—	2	1	no	—
774	C₂×C₃×C₄	—	2	1	no	—
775	C₂×C₃×C₄	—	2	1	no	—
776	C₂×C₃×C₄	—	2	1	no	—
777	C₂×C₃×C₄	—	2	1	no	—
778	C₂×C₃×C₄	—	2	1	no	—
779	C₂×C₃×C₄	—	2	1	no	—
780	C₂×C₃×C₄	—	2	1	no	—
781	C₂×C₃×C₄	—	2	1	no	—
782	C₂×C₃×C₄	—	2	8	no	—
783	C₂×C₃×C₄	—	2	8	no	—
784	C₂×C₃×C₄	—	2	8	no	—
785	C₂×C₃×C₄	—	2	1	no	—
786	C₂×C₃×C₄	—	2	2	no	—
787	C₂×C₃×C₄	—	2	2	no	—
788	C₂×C₃×C₄	—	2	1	no	—
789	C₂×C₃×C₄	—	2	1	no	—
790	C₂×C₃×C₄	—	2	2	no	—
791	C₂×C₃×C₄	—	2	2	no	—
792	C₂×C₃×C₄	—	2	2	no	—
793	C₂×C₃×C₄	—	2	2	no	—
794	C₂×C₃×C₄	—	2	2	no	—
795	C₂×C₃×C₄	—	2	2	no	—
796	C₂×C₃×C₄	—	2	2	no	—
797	C₂×C₃×C₄	—	2	2	no	—
798	C₂×C₃×C₄	—	2	1	no	—
799	C₂×C₃×C₄	—	2	1	no	—
800	C₂×C₃×C₄	—	2	2	no	—
801	C₂×C₃×C₄	—	2	2	no	—
802	C₂×C₃×C₄	—	2	2	no	—
803	C₂×C₃×C₄	—	2	2	no	—
804	C₂×C₃×C₄	—	2	2	no	—
805	C₂×C₃×C₄	—	2	2	no	—
806	C₂×C₃×C₄	—	2	2	no	—
807	C₂×C₃×C₄	—	2	1	no	—
808	C₂×C₃×C₄	—	2	1	no	—
809	C₂×C₃×C₄	—	2	1	no	—
810	C₂×C₃×C₄	—	2	2	no	—
811	C₂×C₃×C₄	—	2	2	no	—
812	C₂×C₃×C₄	—	2	2	no	—
813	C₂×C₃×C₄	—	2	1	no	—
814	C₂×C₃×C₄	—	2	2	no	—
815	C₂×C₃×C₄	—	4	4	no	—
816	C₂×C₃×C₄	—	4	4	no	—
817	C₂×C₃×C₄	—	4	4	no	—
818	C₂×C₃×C₄	—	4	4	no	—
819	C₂×C₃×C₄	—	4	4	no	—
820	C₂×C₃×C₄	—	4	4	no	—
821	C₂×C₃×C₄	—	4	4	no	—
822	C₂×C₃×C₄	—	4	4	no	—
823	C₂×C₃×C₄	—	4	4	no	—
824	C₂×C₃×C₄	—	8	4	no	—
825	C₂×C₃×C₄	—	8	4	no	—
826	C₂×C₃×C₄	—	8	4	no	—
827	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
828	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
829	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
830	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
831	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
832	C₂×C₃×C₄	C₂×#41	1	2	yes	—
833	C₂×C₃×C₄	C₂×#41	1	2	yes	—
834	C₂×C₃×C₄	C₂×#41	1	2	yes	—
835	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
836	C₂⁴	—	2	2	no	—
837	C₂⁴	—	2	2	no	—
838	C₂⁴	—	2	2	no	—
839	C₂⁴	—	2	2	no	—
840	C₂⁴	—	2	2	no	—
841	C₂⁴	—	2	2	no	—
842	C₂⁴	—	2	2	no	—
843	C₂⁴	—	2	2	no	—
844	C₂⁴	—	2	2	no	—
845	C₂⁴	—	4	1	no	—
846	C₂⁴	—	4	1	no	—
847	C₂⁴	—	4	1	no	—
848	C₂⁴	—	4	1	no	—
849	C₂⁴	C₃×#41	1	4	yes	—
850	C₂⁴	C₂⁴×C₃	1	2	yes	—
851	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
852	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
853	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
854	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
855	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
856	C₂×D₄	—	2	32	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	2	2	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	—	2	4	no	—
866	C₂×D₄	—	2	4	no	—
867	C₂×D₄	—	2	4	no	—
868	C₂×D₄	—	2	4	no	—
869	C₂×D₄	—	2	4	no	—
870	C₂×D₄	—	2	4	no	—
871	C₂×D₄	—	2	4	no	—
872	C₂×D₄	—	2	4	no	—
873	C₂×D₄	—	2	4	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	2	no	—
881	C₂×D₄	—	4	2	no	—
882	C₂×D₄	—	4	2	no	—
883	C₂×D₄	—	4	2	no	—
884	C₂×D₄	—	4	2	no	—
885	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
886	C₂×D₄	C₃×#41	1	4	yes	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	4	no	—
902	C₂²×C₄	—	2	4	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	4	no	—
919	C₂²×C₄	—	4	1	no	—
920	C₂²×C₄	—	4	1	no	—
921	C₂²×C₄	—	4	1	no	—
922	C₂²×C₄	—	4	1	no	—
923	C₂²×C₄	—	4	1	no	—
924	C₂²×C₄	—	4	1	no	—
925	C₂²×C₄	—	4	1	no	—
926	C₂²×C₄	—	4	16	no	—
927	C₂²×C₄	—	4	16	no	—
928	C₂²×C₄	—	4	2	no	—
929	C₂²×C₄	—	4	2	no	—
930	C₂²×C₄	—	4	2	no	—
931	C₂²×C₄	—	4	2	no	—
932	C₂²×C₄	—	4	2	no	—
933	C₂²×C₄	—	4	2	no	—
934	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
935	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
936	C₂²×C₄	C₃×#41	1	4	yes	—
937	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
938	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
939	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
940	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
941	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
942	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
943	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
944	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
945	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
946	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
952	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	4	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	4	no	—
962	C₄⋊C₄	—	2	4	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	4	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	4	2	no	—
969	C₄⋊C₄	—	4	2	no	—
970	C₄⋊C₄	—	4	2	no	—
971	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	4	no	—
975	C₂²⋊C₄	—	2	4	no	—
976	C₂²⋊C₄	—	2	4	no	—
977	C₂²⋊C₄	—	2	4	no	—
978	C₂²⋊C₄	—	2	4	no	—
979	C₂²⋊C₄	—	2	4	no	—
980	C₂²⋊C₄	—	2	4	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	4	no	—
986	C₂²⋊C₄	—	2	4	no	—
987	C₂²⋊C₄	—	2	4	no	—
988	C₂²⋊C₄	—	2	4	no	—
989	C₂²⋊C₄	—	2	4	no	—
990	C₂²⋊C₄	—	4	2	no	—
991	C₂²⋊C₄	—	4	2	no	—
992	C₂²⋊C₄	—	4	2	no	—
993	C₂²⋊C₄	—	4	2	no	—
994	C₂²⋊C₄	—	4	2	no	—
995	C₂²⋊C₄	—	4	2	no	—
996	C₂²⋊C₄	—	4	2	no	—
997	C₂²⋊C₄	—	4	2	no	—
998	C₂²⋊C₄	—	4	2	no	—
999	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1000	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1001	C₄²	—	2	2	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	4	no	—
1005	C₄²	—	4	2	no	—
1006	C₄²	—	4	2	no	—
1007	C₄²	C₂×C₃×D₄	1	4	yes	—
1008	C₂²×C₃	—	2	2	no	—
1009	C₂²×C₃	—	2	2	no	—
1010	C₂²×C₃	—	2	2	no	—
1011	C₂²×C₃	—	2	2	no	—
1012	C₂²×C₃	—	2	2	no	—
1013	C₂²×C₃	—	2	2	no	—
1014	C₂²×C₃	—	2	2	no	—
1015	C₂²×C₃	—	2	2	no	—
1016	C₂²×C₃	—	2	2	no	—
1017	C₂²×C₃	—	2	2	no	—
1018	C₂²×C₃	—	2	2	no	—
1019	C₂²×C₃	—	2	2	no	—
1020	C₂²×C₃	—	2	2	no	—
1021	C₂²×C₃	—	2	2	no	—
1022	C₂²×C₃	—	2	2	no	—
1023	C₂²×C₃	—	2	2	no	—
1024	C₂²×C₃	—	2	2	no	—
1025	C₂²×C₃	—	2	2	no	—
1026	C₂²×C₃	—	2	2	no	—
1027	C₂²×C₃	—	2	2	no	—
1028	C₂²×C₃	—	2	2	no	—
1029	C₂²×C₃	—	4	16	no	—
1030	C₂²×C₃	—	4	16	no	—
1031	C₂²×C₃	—	4	1	no	—
1032	C₂²×C₃	—	4	1	no	—
1033	C₂²×C₃	—	4	1	no	—
1034	C₂²×C₃	—	4	1	no	—
1035	C₂²×C₃	—	4	1	no	—
1036	C₂²×C₃	—	4	1	no	—
1037	C₂²×C₃	—	4	1	no	—
1038	C₂²×C₃	—	4	1	no	—
1039	C₂²×C₃	—	4	1	no	—
1040	C₂²×C₃	—	4	1	no	—
1041	C₂²×C₃	—	4	1	no	—
1042	C₂²×C₃	—	4	1	no	—
1043	C₂²×C₃	—	4	2	no	—
1044	C₂²×C₃	—	4	2	no	—
1045	C₂²×C₃	—	4	2	no	—
1046	C₂²×C₃	—	4	2	no	—
1047	C₂²×C₃	—	4	2	no	—
1048	C₂²×C₃	—	4	2	no	—
1049	C₂²×C₃	—	4	2	no	—
1050	C₂²×C₃	#525	1	4	yes	—
1051	C₂²×C₃	#553	1	4	yes	complemented
1052	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1053	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1054	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1055	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1056	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1057	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1058	C₂²×C₃	#585	1	1	yes	characteristic
1059	C₃×C₄	—	2	2	no	—
1060	C₃×C₄	—	2	2	no	—
1061	C₃×C₄	—	2	2	no	—
1062	C₃×C₄	—	2	2	no	—
1063	C₃×C₄	—	2	2	no	—
1064	C₃×C₄	—	2	2	no	—
1065	C₃×C₄	—	4	2	no	—
1066	C₃×C₄	—	4	1	no	—
1067	C₃×C₄	—	4	1	no	—
1068	C₃×C₄	—	4	2	no	—
1069	C₃×C₄	—	4	1	no	—
1070	C₃×C₄	—	4	2	no	—
1071	C₃×C₄	—	4	2	no	—
1072	C₃×C₄	—	4	2	no	—
1073	C₃×C₄	—	4	2	no	—
1074	C₃×C₄	—	4	2	no	—
1075	C₃×C₄	#546	1	4	yes	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	8	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	1	no	—
1094	C₂³	—	2	1	no	—
1095	C₂³	—	2	1	no	—
1096	C₂³	—	2	1	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	1	no	—
1103	C₂³	—	2	8	no	—
1104	C₂³	—	2	8	no	—
1105	C₂³	—	2	2	no	—
1106	C₂³	—	2	2	no	—
1107	C₂³	—	2	2	no	—
1108	C₂³	—	2	2	no	—
1109	C₂³	—	2	2	no	—
1110	C₂³	—	2	2	no	—
1111	C₂³	—	2	2	no	—
1112	C₂³	—	4	4	no	—
1113	C₂³	—	4	4	no	—
1114	C₂³	—	4	4	no	—
1115	C₂³	—	4	4	no	—
1116	C₂³	—	4	4	no	—
1117	C₂³	—	4	4	no	—
1118	C₂³	—	4	4	no	—
1119	C₂³	—	4	4	no	—
1120	C₂³	—	4	4	no	—
1121	C₂³	—	4	4	no	—
1122	C₂³	—	4	4	no	—
1123	C₂³	C₂²×C₃×D₄	1	2	yes	—
1124	C₂³	C₂²×C₃×D₄	1	2	yes	—
1125	C₂³	C₂×C₃×#41	1	2	yes	—
1126	C₂³	C₂×C₃×#41	1	2	yes	—
1127	C₂³	C₂×C₃×#41	1	2	yes	—
1128	C₂³	C₂×C₃×#41	1	2	yes	—
1129	C₂³	C₂×C₃×#41	1	2	yes	—
1130	C₂³	C₂×C₃×#41	1	2	yes	—
1131	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
1132	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1133	D₄	—	2	8	no	—
1134	D₄	—	2	8	no	—
1135	D₄	—	2	8	no	—
1136	D₄	—	2	8	no	—
1137	D₄	—	4	8	no	—
1138	D₄	—	4	8	no	—
1139	D₄	—	4	4	no	—
1140	D₄	—	8	4	no	—
1141	D₄	—	8	4	no	—
1142	D₄	—	8	4	no	—
1143	C₂×C₄	—	2	8	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	8	no	—
1157	C₂×C₄	—	2	8	no	—
1158	C₂×C₄	—	2	8	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	2	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	2	no	—
1189	C₂×C₄	—	4	4	no	—
1190	C₂×C₄	—	4	4	no	—
1191	C₂×C₄	—	4	4	no	—
1192	C₂×C₄	—	4	4	no	—
1193	C₂×C₄	—	4	4	no	—
1194	C₂×C₄	—	4	4	no	—
1195	C₂×C₄	—	4	4	no	—
1196	C₂×C₄	—	4	4	no	—
1197	C₂×C₄	—	4	4	no	—
1198	C₂×C₄	—	8	4	no	—
1199	C₂×C₄	—	8	4	no	—
1200	C₂×C₄	—	8	4	no	—
1201	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1202	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1203	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1204	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1205	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1206	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1207	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1208	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1209	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1210	C₂×C₃	—	2	4	no	—
1211	C₂×C₃	—	2	4	no	—
1212	C₂×C₃	—	4	2	no	—
1213	C₂×C₃	—	4	2	no	—
1214	C₂×C₃	—	4	2	no	—
1215	C₂×C₃	—	8	2	no	—
1216	C₂×C₃	C₂×#525	1	1	yes	characteristic
1217	C₂×C₃	C₂×#546	1	1	yes	characteristic
1218	C₂×C₃	C₂×#553	1	1	yes	characteristic
1219	C₂×C₃	#3475	1	1	yes	characteristic
1220	C₂×C₃	#3488	1	1	yes	characteristic
1221	C₂×C₃	#3505	1	1	yes	characteristic
1222	C₂×C₃	#3519	1	1	yes	characteristic
1223	C₂²	—	2	2	no	—
1224	C₂²	—	2	2	no	—
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	2	no	—
1229	C₂²	—	2	2	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	2	no	—
1233	C₂²	—	2	2	no	—
1234	C₂²	—	2	2	no	—
1235	C₂²	—	2	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	2	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	4	16	no	—
1245	C₂²	—	4	16	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	4	1	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	4	1	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	1	no	—
1258	C₂²	—	4	2	no	—
1259	C₂²	—	4	2	no	—
1260	C₂²	—	4	2	no	—
1261	C₂²	—	4	2	no	—
1262	C₂²	—	4	2	no	—
1263	C₂²	—	4	2	no	—
1264	C₂²	—	4	2	no	—
1265	C₂²	C₃×#525	1	4	yes	—
1266	C₂²	C₃×#553	1	4	yes	complemented
1267	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1268	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1269	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1270	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1271	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1272	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1273	C₂²	C₃×#585	1	1	yes	characteristic
1274	C₄	—	2	2	no	—
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	2	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	2	no	—
1280	C₄	—	4	2	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	2	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	2	no	—
1286	C₄	—	4	2	no	—
1287	C₄	—	4	2	no	—
1288	C₄	—	4	2	no	—
1289	C₄	—	4	2	no	—
1290	C₄	C₃×#546	1	4	yes	—
1291	C₃	#36157	1	1	yes	characteristic, direct product factor, Sylow
1292	C₂	—	2	4	no	—
1293	C₂	—	2	4	no	—
1294	C₂	—	4	2	no	—
1295	C₂	—	4	2	no	—
1296	C₂	—	4	2	no	—
1297	C₂	—	8	2	no	—
1298	C₂	C₂×C₃×#525	1	1	yes	characteristic
1299	C₂	C₂×C₃×#546	1	1	yes	characteristic
1300	C₂	C₂×C₃×#553	1	1	yes	characteristic
1301	C₂	C₃×#3475	1	1	yes	characteristic
1302	C₂	C₃×#3488	1	1	yes	characteristic
1303	C₂	C₃×#3505	1	1	yes	characteristic
1304	C₂	C₃×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#553	C₂	semidirect
2. C₂²×C₃×C₄×D₄	C₂	semidirect
3. C₃×#2851	C₂	semidirect
4. C₃×#2847	C₂	semidirect
5. C₃×#2847	C₂	semidirect
6. C₃×#2562	C₂	semidirect
7. C₃×#2535	C₂	semidirect
8. C₃×#2487	C₂	semidirect
9. C₃×#2485	C₂	semidirect
10. C₃×#2481	C₂	semidirect
11. C₃×#2467	C₂	semidirect
12. C₃×#2457	C₂	semidirect
13. C₃×#2444	C₂	semidirect
14. C₃×#2418	C₂	semidirect
15. C₃×#2416	C₂	semidirect
16. C₃×#2414	C₂	semidirect
17. C₃×#2410	C₂	semidirect
18. C₃×#2364	C₂	semidirect
19. C₃×#2358	C₂	semidirect
20. C₃×#2352	C₂	semidirect
21. C₃×C₄×#121	C₂	semidirect
22. C₃×#2280	C₂	semidirect
23. C₂×C₃×#380	C₂	semidirect
24. #36157	C₃	direct (N × H)
29. C₂×C₃×#126	C₂²	semidirect
30. C₂×C₃×#125	C₂²	semidirect
31. C₂×C₃×#123	C₂²	semidirect
35. C₂×C₃×#121	C₂²	semidirect
36. C₂×C₃×#121	C₂²	semidirect
37. C₂×C₃×#121	C₂²	semidirect
38. C₂×C₃×#121	C₂²	semidirect
51. C₂×C₃×C₄×D₄	C₂²	semidirect
52. C₂×C₃×C₄×D₄	C₂²	semidirect
53. C₂×C₃×#117	C₂²	semidirect
54. C₂×C₃×#117	C₂²	semidirect
56. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
57. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
62. C₃×#400	C₂²	semidirect
63. C₃×#400	C₂²	semidirect
64. C₃×#399	C₂²	semidirect
65. C₃×#397	C₂²	semidirect
66. C₃×#397	C₂²	semidirect
67. C₃×#396	C₂²	semidirect
70. C₃×#394	C₂²	semidirect
71. C₃×#394	C₂²	semidirect
74. C₃×#390	C₂²	semidirect
75. C₃×#390	C₂²	semidirect
76. C₃×#389	C₂²	semidirect
77. C₃×#389	C₂²	semidirect
78. C₃×#389	C₂²	semidirect
79. C₃×#388	C₂²	semidirect
80. C₃×#388	C₂²	semidirect
81. C₃×#388	C₂²	semidirect
82. C₃×#388	C₂²	semidirect
83. C₃×#388	C₂²	semidirect
84. C₃×#388	C₂²	semidirect
85. C₃×#387	C₂²	semidirect
86. C₃×#387	C₂²	semidirect
87. C₃×#387	C₂²	semidirect
88. C₃×#387	C₂²	semidirect
94. C₃×#386	C₂²	semidirect
95. C₃×#386	C₂²	semidirect
96. C₃×#386	C₂²	semidirect
97. C₃×#386	C₂²	semidirect
98. C₃×#386	C₂²	semidirect
99. C₃×#386	C₂²	semidirect
100. C₃×#386	C₂²	semidirect
103. C₃×#385	C₂²	semidirect
104. C₃×#382	C₂²	semidirect
105. C₃×#381	C₂²	semidirect
110. C₃×#380	C₂²	semidirect
111. C₃×#380	C₂²	semidirect
112. C₃×#380	C₂²	semidirect
113. C₃×#380	C₂²	semidirect
114. C₃×#380	C₂²	semidirect
115. C₃×#380	C₂²	semidirect
116. C₃×#380	C₂²	semidirect
117. C₃×#380	C₂²	semidirect
118. C₃×#380	C₂²	semidirect
120. C₃×C₄×C₄⋊C₄	C₂²	semidirect
122. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
123. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
124. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
125. C₂×C₃×#95	C₂²	semidirect
126. C₂×#553	C₂×C₃	semidirect
127. C₂²×C₄×D₄	C₂×C₃	semidirect
128. #2851	C₂×C₃	semidirect
129. #2847	C₂×C₃	semidirect
130. #2847	C₂×C₃	semidirect
131. #2562	C₂×C₃	semidirect
132. #2535	C₂×C₃	semidirect
133. #2487	C₂×C₃	semidirect
134. #2485	C₂×C₃	semidirect
135. #2481	C₂×C₃	semidirect
136. #2467	C₂×C₃	semidirect
137. #2457	C₂×C₃	semidirect
138. #2444	C₂×C₃	semidirect
139. #2418	C₂×C₃	semidirect
140. #2416	C₂×C₃	semidirect
141. #2414	C₂×C₃	semidirect
142. #2410	C₂×C₃	semidirect
143. #2364	C₂×C₃	semidirect
144. #2358	C₂×C₃	semidirect
145. #2352	C₂×C₃	semidirect
146. C₄×#121	C₂×C₃	semidirect
147. #2280	C₂×C₃	semidirect
148. C₂×#380	C₂×C₃	semidirect
208. C₃×C₄×D₄	D₄	semidirect
293. C₂×#126	C₂²×C₃	semidirect
294. C₂×#125	C₂²×C₃	semidirect
295. C₂×#123	C₂²×C₃	semidirect
299. C₂×#121	C₂²×C₃	semidirect
300. C₂×#121	C₂²×C₃	semidirect
301. C₂×#121	C₂²×C₃	semidirect
302. C₂×#121	C₂²×C₃	semidirect
315. C₂×C₄×D₄	C₂²×C₃	semidirect
316. C₂×C₄×D₄	C₂²×C₃	semidirect
317. C₂×#117	C₂²×C₃	semidirect
318. C₂×#117	C₂²×C₃	semidirect
320. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
321. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
326. #400	C₂²×C₃	semidirect
327. #400	C₂²×C₃	semidirect
328. #399	C₂²×C₃	semidirect
329. #397	C₂²×C₃	semidirect
330. #397	C₂²×C₃	semidirect
331. #396	C₂²×C₃	semidirect
334. #394	C₂²×C₃	semidirect
335. #394	C₂²×C₃	semidirect
338. #390	C₂²×C₃	semidirect
339. #390	C₂²×C₃	semidirect
340. #389	C₂²×C₃	semidirect
341. #389	C₂²×C₃	semidirect
342. #389	C₂²×C₃	semidirect
343. #388	C₂²×C₃	semidirect
344. #388	C₂²×C₃	semidirect
345. #388	C₂²×C₃	semidirect
346. #388	C₂²×C₃	semidirect
347. #388	C₂²×C₃	semidirect
348. #388	C₂²×C₃	semidirect
349. #387	C₂²×C₃	semidirect
350. #387	C₂²×C₃	semidirect
351. #387	C₂²×C₃	semidirect
352. #387	C₂²×C₃	semidirect
358. #386	C₂²×C₃	semidirect
359. #386	C₂²×C₃	semidirect
360. #386	C₂²×C₃	semidirect
361. #386	C₂²×C₃	semidirect
362. #386	C₂²×C₃	semidirect
363. #386	C₂²×C₃	semidirect
364. #386	C₂²×C₃	semidirect
367. #385	C₂²×C₃	semidirect
368. #382	C₂²×C₃	semidirect
369. #381	C₂²×C₃	semidirect
374. #380	C₂²×C₃	semidirect
375. #380	C₂²×C₃	semidirect
376. #380	C₂²×C₃	semidirect
377. #380	C₂²×C₃	semidirect
378. #380	C₂²×C₃	semidirect
379. #380	C₂²×C₃	semidirect
380. #380	C₂²×C₃	semidirect
381. #380	C₂²×C₃	semidirect
382. #380	C₂²×C₃	semidirect
384. C₄×C₄⋊C₄	C₂²×C₃	semidirect
386. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
387. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
388. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
389. C₂×#95	C₂²×C₃	semidirect
621. C₄×D₄	C₃×D₄	semidirect
1051. C₂²×C₃	#553	semidirect
1266. C₂²	C₃×#553	semidirect
1291. C₃	#36157	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#553	2
C₂²×C₃×C₄×D₄	2
C₃×#2851	2
C₃×#2847	2
C₃×#2562	2
C₃×#2535	2
C₃×#2487	2
C₃×#2485	2
C₃×#2481	2
C₃×#2467	2
C₃×#2457	2
C₃×#2444	2
C₃×#2418	2
C₃×#2416	2
C₃×#2414	2
C₃×#2410	2
C₃×#2364	2
C₃×#2358	2
C₃×#2352	2
C₃×C₄×#121	2
C₃×#2280	2
C₂×C₃×#380	2
#36157	3

Subgroups — C3×#36157 #10654764

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#36157 #10654764