Subgroups — #11025696

Order 768.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₃×#126	C₂	1	1	yes	maximal, characteristic
3	#83248	C₂	1	1	yes	maximal, characteristic, complemented
4	#83233	C₂	1	1	yes	maximal, characteristic, complemented
5	#83099	C₂	1	1	yes	maximal, characteristic, complemented
6	#83099	C₂	1	1	yes	maximal, characteristic, complemented
7	#83083	C₂	1	1	yes	maximal, characteristic, complemented
8	#83081	C₂	1	1	yes	maximal, characteristic
9	#83081	C₂	1	1	yes	maximal, characteristic
10	#83081	C₂	1	1	yes	maximal, characteristic
11	#83074	C₂	1	1	yes	maximal, characteristic, complemented
12	#83072	C₂	1	1	yes	maximal, characteristic, complemented
13	#83053	C₂	1	1	yes	maximal, characteristic, complemented
14	#83053	C₂	1	1	yes	maximal, characteristic, complemented
15	#83052	C₂	1	1	yes	maximal, characteristic, complemented
16	#83045	C₂	1	1	yes	maximal, characteristic, complemented
17	#83035	C₂	1	1	yes	maximal, characteristic, complemented
18	#83032	C₂	1	1	yes	maximal, characteristic, complemented
19	#83032	C₂	1	1	yes	maximal, characteristic, complemented
20	#83032	C₂	1	1	yes	maximal, characteristic, complemented
21	#83028	C₂	1	1	yes	maximal, characteristic, complemented
22	#82816	C₂	1	1	yes	maximal, characteristic
23	#82816	C₂	1	1	yes	maximal, characteristic
24	#82799	C₂	1	1	yes	maximal, characteristic, complemented
25	#82795	C₂	1	1	yes	maximal, characteristic, complemented
26	#82504	C₂	1	1	yes	maximal, characteristic, complemented
27	#82490	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#946	C₂	1	1	yes	maximal, characteristic, complemented
29	#82473	C₂	1	1	yes	maximal, characteristic, complemented
30	#82271	C₂	1	1	yes	maximal, characteristic
31	#82252	C₂	1	1	yes	maximal, characteristic, complemented
32	#37727	—	3	1	no	maximal, Sylow
33	C₃×#541	—	2	8	no	—
34	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#126	C₂²	1	1	yes	characteristic
37	C₂×C₃×#126	C₂²	1	1	yes	characteristic
38	C₂×C₃×#126	C₂²	1	1	yes	characteristic
39	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃×#117	C₂²	1	1	yes	characteristic
49	C₂×#946	C₂²	1	1	yes	characteristic
50	C₂×#946	C₂²	1	1	yes	characteristic
51	C₂²×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
52	D₃×#126	—	2	8	no	—
53	C₂×#898	C₂²	1	1	yes	characteristic
54	C₂×#898	C₂²	1	1	yes	characteristic
55	C₂×#898	C₂²	1	1	yes	characteristic
56	C₂×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₂×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₂×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	C₂×#879	C₂²	1	1	yes	characteristic
63	C₂×#879	C₂²	1	1	yes	characteristic
64	C₂×#879	C₂²	1	1	yes	characteristic
65	C₂×#876	C₂²	1	1	yes	characteristic
66	C₂×C₄²×D₃	C₂²	1	1	yes	characteristic
67	#5231	C₂²	1	1	yes	characteristic
68	#5231	C₂²	1	1	yes	characteristic
69	#5230	C₂²	1	1	yes	characteristic, complemented
70	#5230	C₂²	1	1	yes	characteristic, complemented
71	#5229	C₂²	1	1	yes	characteristic, complemented
72	#5229	C₂²	1	1	yes	characteristic, complemented
73	#5211	C₂²	1	1	yes	characteristic
74	#5210	C₂²	1	1	yes	characteristic
75	#5210	C₂²	1	1	yes	characteristic
76	#4994	C₂²	1	1	yes	characteristic
77	#4994	C₂²	1	1	yes	characteristic
78	#4994	C₂²	1	1	yes	characteristic
79	#4994	C₂²	1	1	yes	characteristic
80	#4994	C₂²	1	1	yes	characteristic
81	#4994	C₂²	1	1	yes	characteristic
82	#4994	C₂²	1	1	yes	characteristic
83	#4993	C₂²	1	1	yes	characteristic
84	#4993	C₂²	1	1	yes	characteristic
85	#4992	C₂²	1	1	yes	characteristic
86	#4992	C₂²	1	1	yes	characteristic
87	#4992	C₂²	1	1	yes	characteristic
88	#4990	C₂²	1	1	yes	characteristic
89	#4990	C₂²	1	1	yes	characteristic
90	#4990	C₂²	1	1	yes	characteristic
91	#4990	C₂²	1	1	yes	characteristic
92	#4990	C₂²	1	1	yes	characteristic
93	#4989	C₂²	1	1	yes	characteristic
94	#4989	C₂²	1	1	yes	characteristic
95	#4989	C₂²	1	1	yes	characteristic
96	#4989	C₂²	1	1	yes	characteristic
97	#4989	C₂²	1	1	yes	characteristic
98	#4989	C₂²	1	1	yes	characteristic
99	#4989	C₂²	1	1	yes	characteristic
100	#4989	C₂²	1	1	yes	characteristic
101	#4989	C₂²	1	1	yes	characteristic
102	#4989	C₂²	1	1	yes	characteristic
103	#4989	C₂²	1	1	yes	characteristic
104	#4989	C₂²	1	1	yes	characteristic
105	#4987	C₂²	1	1	yes	characteristic
106	#4987	C₂²	1	1	yes	characteristic
107	#4987	C₂²	1	1	yes	characteristic
108	#4987	C₂²	1	1	yes	characteristic
109	#4987	C₂²	1	1	yes	characteristic
110	#4986	C₂²	1	1	yes	characteristic, complemented
111	#4986	C₂²	1	1	yes	characteristic, complemented
112	#4986	C₂²	1	1	yes	characteristic, complemented
113	#4985	C₂²	1	1	yes	characteristic, complemented
114	#4985	C₂²	1	1	yes	characteristic, complemented
115	#4984	C₂²	1	1	yes	characteristic, complemented
116	#4984	C₂²	1	1	yes	characteristic, complemented
117	#4983	C₂²	1	1	yes	characteristic, complemented
118	#4983	C₂²	1	1	yes	characteristic, complemented
119	#4983	C₂²	1	1	yes	characteristic, complemented
120	#4982	C₂²	1	1	yes	characteristic, complemented
121	#4982	C₂²	1	1	yes	characteristic, complemented
122	#4982	C₂²	1	1	yes	characteristic, complemented
123	#4982	C₂²	1	1	yes	characteristic, complemented
124	#4982	C₂²	1	1	yes	characteristic, complemented
125	#4982	C₂²	1	1	yes	characteristic, complemented
126	#4982	C₂²	1	1	yes	characteristic, complemented
127	#4981	C₂²	1	1	yes	characteristic, complemented
128	#4981	C₂²	1	1	yes	characteristic, complemented
129	#4981	C₂²	1	1	yes	characteristic, complemented
130	#4980	C₂²	1	1	yes	characteristic, complemented
131	#4980	C₂²	1	1	yes	characteristic, complemented
132	#4980	C₂²	1	1	yes	characteristic, complemented
133	#4978	C₂²	1	1	yes	characteristic, complemented
134	#4978	C₂²	1	1	yes	characteristic, complemented
135	#4978	C₂²	1	1	yes	characteristic, complemented
136	#4978	C₂²	1	1	yes	characteristic, complemented
137	#4978	C₂²	1	1	yes	characteristic, complemented
138	#4978	C₂²	1	1	yes	characteristic, complemented
139	#4977	C₂²	1	1	yes	characteristic, complemented
140	#4976	C₂²	1	1	yes	characteristic, complemented
141	#4976	C₂²	1	1	yes	characteristic, complemented
142	#4976	C₂²	1	1	yes	characteristic, complemented
143	#4976	C₂²	1	1	yes	characteristic, complemented
144	#4976	C₂²	1	1	yes	characteristic, complemented
145	#4975	C₂²	1	1	yes	characteristic, complemented
146	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	#4972	C₂²	1	1	yes	characteristic, complemented
148	#4972	C₂²	1	1	yes	characteristic, complemented
149	#4972	C₂²	1	1	yes	characteristic, complemented
150	#4955	C₂²	1	1	yes	characteristic
151	#4955	C₂²	1	1	yes	characteristic
152	#4955	C₂²	1	1	yes	characteristic
153	#4952	C₂²	1	1	yes	characteristic
154	#4952	C₂²	1	1	yes	characteristic
155	#4952	C₂²	1	1	yes	characteristic
156	#4952	C₂²	1	1	yes	characteristic
157	#4952	C₂²	1	1	yes	characteristic
158	#4952	C₂²	1	1	yes	characteristic
159	#4951	C₂²	1	1	yes	characteristic
160	#4951	C₂²	1	1	yes	characteristic
161	#4951	C₂²	1	1	yes	characteristic
162	#4950	C₂²	1	1	yes	characteristic
163	#4950	C₂²	1	1	yes	characteristic
164	#4942	C₂²	1	1	yes	characteristic
165	#4942	C₂²	1	1	yes	characteristic
166	#4942	C₂²	1	1	yes	characteristic
167	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	#4940	C₂²	1	1	yes	characteristic
169	#4940	C₂²	1	1	yes	characteristic
170	#4940	C₂²	1	1	yes	characteristic
171	#4940	C₂²	1	1	yes	characteristic
172	#4940	C₂²	1	1	yes	characteristic
173	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
178	#4936	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
180	#4933	C₂²	1	1	yes	characteristic, complemented
181	#4933	C₂²	1	1	yes	characteristic, complemented
182	#4933	C₂²	1	1	yes	characteristic, complemented
183	#4933	C₂²	1	1	yes	characteristic, complemented
184	#4933	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	#4928	C₂²	1	1	yes	characteristic, complemented
188	#4928	C₂²	1	1	yes	characteristic, complemented
189	#4928	C₂²	1	1	yes	characteristic, complemented
190	C₂×#541	D₃	1	1	yes	characteristic, complemented
191	C₂²×#126	—	3	1	no	—
192	#2851	—	3	1	no	—
193	#2725	—	3	1	no	—
194	#2725	—	3	1	no	—
195	#2722	—	3	1	no	—
196	#2722	—	3	1	no	—
197	#2721	—	3	1	no	—
198	#2716	—	3	1	no	—
199	#2698	—	3	1	no	—
200	#2689	—	3	1	no	—
201	#2664	—	3	1	no	—
202	#2637	—	3	1	no	—
203	#2519	—	3	1	no	—
204	#2496	—	3	1	no	—
205	#2480	—	3	1	no	—
206	#2480	—	3	1	no	—
207	#2480	—	3	1	no	—
208	#2478	—	3	1	no	—
209	#2473	—	3	1	no	—
210	#2473	—	3	1	no	—
211	#2473	—	3	1	no	—
212	#2469	—	3	1	no	—
213	#2442	—	3	1	no	—
214	#2440	—	3	1	no	—
215	#2437	—	3	1	no	—
216	#2437	—	3	1	no	—
217	#2360	—	3	1	no	—
218	#2342	—	3	1	no	—
219	#2334	—	3	1	no	—
220	C₄×C₂²⋊Q₈	—	3	1	no	—
221	C₂⁴×D₃	C₂³	1	1	yes	characteristic
222	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
224	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
225	C₂³×Dic₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
232	C₃×C₄⋊Q₈	—	2	4	no	—
233	C₃×#126	—	2	4	no	—
234	C₃×#126	—	2	4	no	—
235	C₃×#126	—	2	4	no	—
236	C₃×#126	D₄	1	8	yes	—
237	C₃×#125	—	2	4	no	—
238	C₃×#125	—	2	4	no	—
239	C₃×#125	—	2	4	no	—
240	C₃×#125	—	2	4	no	—
241	C₃×#125	—	2	4	no	—
242	C₃×C₂²⋊Q₈	—	2	4	no	—
243	C₃×C₂²⋊Q₈	—	2	4	no	—
244	C₃×C₄×Q₈	—	2	4	no	—
245	C₃×C₄×Q₈	—	2	4	no	—
246	C₃×#117	—	2	4	no	—
247	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
279	C₂×#217	C₂³	1	1	yes	characteristic
280	C₂×#217	C₂³	1	1	yes	characteristic
281	C₂×#217	C₂³	1	1	yes	characteristic
282	C₂×#217	C₂³	1	1	yes	characteristic
283	C₂×#217	C₂³	1	1	yes	characteristic
284	C₂×#217	C₂³	1	1	yes	characteristic
285	#946	—	2	4	no	—
286	#946	—	2	4	no	—
287	C₂×(C₂×D₃)⋊C₄	—	2	4	no	—
288	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
320	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
343	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
344	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
345	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
346	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
347	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
348	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
349	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
350	#898	—	2	4	no	—
351	#898	—	2	4	no	—
352	#898	—	2	4	no	—
353	D₃×C₄⋊C₄	—	2	4	no	—
354	D₃×C₄⋊C₄	—	2	4	no	—
355	D₃×C₄⋊C₄	—	2	4	no	—
356	D₃×C₂²⋊C₄	—	2	4	no	—
357	D₃×C₂²⋊C₄	—	2	4	no	—
358	D₃×C₂²⋊C₄	—	2	4	no	—
359	#879	—	2	4	no	—
360	#879	—	2	4	no	—
361	#879	—	2	4	no	—
362	#876	—	2	4	no	—
363	C₄²×D₃	—	2	4	no	—
364	C₃⋊#95	C₂³	1	1	yes	characteristic
365	C₃⋊#95	C₂³	1	1	yes	characteristic
366	C₃⋊#95	C₂³	1	1	yes	characteristic
367	C₃⋊#95	C₂³	1	1	yes	characteristic
368	C₃⋊#95	C₂³	1	1	yes	characteristic
369	C₃⋊#95	C₂³	1	1	yes	characteristic
370	C₃⋊#95	C₂³	1	1	yes	characteristic
371	C₃⋊#95	C₂³	1	1	yes	characteristic
372	C₃⋊#95	C₂³	1	1	yes	characteristic
373	C₃⋊#95	C₂³	1	1	yes	characteristic
374	C₃⋊#95	C₂³	1	1	yes	characteristic
375	C₃⋊#95	C₂³	1	1	yes	characteristic
376	C₃⋊#95	C₂³	1	1	yes	characteristic
377	C₃⋊#95	C₂³	1	1	yes	characteristic
378	C₃⋊#95	C₂³	1	1	yes	characteristic
379	C₃⋊#95	C₂³	1	1	yes	characteristic
380	C₃⋊#95	C₂³	1	1	yes	characteristic
381	C₃⋊#95	C₂³	1	1	yes	characteristic
382	C₃⋊#95	C₂³	1	1	yes	characteristic
383	C₃⋊#95	C₂³	1	1	yes	characteristic
384	C₃⋊#95	C₂³	1	1	yes	characteristic
385	C₃⋊#95	C₂³	1	1	yes	characteristic
386	C₃⋊#95	C₂³	1	1	yes	characteristic
387	C₃⋊#95	C₂³	1	1	yes	characteristic
388	C₃⋊#95	C₂³	1	1	yes	characteristic
389	C₃⋊#95	C₂³	1	1	yes	characteristic
390	C₃⋊#95	C₂³	1	1	yes	characteristic
391	C₃⋊#95	C₂³	1	1	yes	characteristic
392	C₃⋊#95	C₂³	1	1	yes	characteristic
393	C₃⋊#95	C₂³	1	1	yes	characteristic
394	C₃⋊#95	C₂³	1	1	yes	characteristic
395	C₃⋊#95	C₂³	1	1	yes	characteristic
396	C₃⋊#95	C₂³	1	1	yes	characteristic
397	C₃⋊#95	C₂³	1	1	yes	characteristic
398	C₃⋊#95	C₂³	1	1	yes	characteristic
399	C₃⋊#95	C₂³	1	1	yes	characteristic
400	C₃⋊#95	C₂³	1	1	yes	characteristic
401	C₃⋊#95	C₂³	1	1	yes	characteristic
402	C₃⋊#95	C₂³	1	1	yes	characteristic
403	C₃⋊#95	C₂³	1	1	yes	characteristic
404	C₃⋊#95	C₂³	1	1	yes	characteristic
405	C₃⋊#95	C₂³	1	1	yes	characteristic
406	C₃⋊#95	C₂³	1	1	yes	characteristic
407	C₃⋊#95	C₂³	1	1	yes	characteristic
408	#541	—	2	8	no	—
409	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
410	C₂×#126	—	3	1	no	—
411	C₂×#126	—	3	1	no	—
412	C₂×#126	—	3	1	no	—
413	C₂×#126	—	3	1	no	—
414	C₂×#126	—	3	1	no	—
415	C₂×#126	—	3	1	no	—
416	C₂×#126	—	3	1	no	—
417	C₂×#126	—	6	8	no	—
418	C₂×#126	C₂×D₃	1	1	yes	characteristic
419	C₂×#126	C₂×D₃	1	1	yes	characteristic
420	C₂×#126	C₂×D₃	1	1	yes	characteristic
421	C₂×#126	C₂×D₃	1	1	yes	characteristic
422	C₂×#125	C₂×D₃	1	1	yes	characteristic, complemented
423	C₂×#125	C₂×D₃	1	1	yes	characteristic, complemented
424	C₂×#125	C₂×D₃	1	1	yes	characteristic, complemented
425	C₂×#125	C₂×D₃	1	1	yes	characteristic, complemented
426	C₂×#125	C₂×D₃	1	1	yes	characteristic, complemented
427	C₂×C₂²⋊Q₈	—	3	1	no	—
428	C₂×C₂²⋊Q₈	—	3	1	no	—
429	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
430	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
431	C₂×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
432	C₂×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
433	C₂×#117	C₂×D₃	1	1	yes	characteristic
434	C₂²×C₄⋊C₄	—	3	1	no	—
435	C₂²×C₄⋊C₄	—	3	1	no	—
436	C₂²×C₄⋊C₄	—	3	1	no	—
437	C₂²×C₂²⋊C₄	—	3	1	no	—
438	C₂²×C₂²⋊C₄	—	3	1	no	—
439	C₂²×C₂²⋊C₄	—	3	1	no	—
440	C₂²×C₂²⋊C₄	—	3	1	no	—
441	C₂²×C₄²	—	3	1	no	—
442	#400	—	3	1	no	—
443	#400	—	3	1	no	—
444	#400	—	3	1	no	—
445	#400	—	3	1	no	—
446	#400	—	3	1	no	—
447	#399	—	3	1	no	—
448	#399	—	3	1	no	—
449	#398	—	3	1	no	—
450	#398	—	3	1	no	—
451	#398	—	3	1	no	—
452	#398	—	3	1	no	—
453	#398	—	3	1	no	—
454	#398	—	3	1	no	—
455	#398	—	3	1	no	—
456	#398	—	3	1	no	—
457	#398	—	3	1	no	—
458	#398	—	3	1	no	—
459	#398	—	3	1	no	—
460	#398	—	3	1	no	—
461	#398	—	3	1	no	—
462	#397	—	3	1	no	—
463	#397	—	3	1	no	—
464	#397	—	3	1	no	—
465	#397	—	3	1	no	—
466	#397	—	3	1	no	—
467	#397	—	3	1	no	—
468	#397	—	3	1	no	—
469	#397	—	3	1	no	—
470	#397	—	3	1	no	—
471	#396	—	3	1	no	—
472	#396	—	3	1	no	—
473	#396	—	3	1	no	—
474	#396	—	3	1	no	—
475	#396	—	3	1	no	—
476	#396	—	3	1	no	—
477	#396	—	3	1	no	—
478	#395	—	3	1	no	—
479	#395	—	3	1	no	—
480	#393	—	3	1	no	—
481	#393	—	3	1	no	—
482	#391	—	3	1	no	—
483	#391	—	3	1	no	—
484	#389	—	3	1	no	—
485	#389	—	3	1	no	—
486	#389	—	3	1	no	—
487	#389	—	3	1	no	—
488	#389	—	3	1	no	—
489	#389	—	3	1	no	—
490	#389	—	3	1	no	—
491	#389	—	3	1	no	—
492	#389	—	3	1	no	—
493	#389	—	3	1	no	—
494	#389	—	3	1	no	—
495	#389	—	3	1	no	—
496	#389	—	3	1	no	—
497	#388	—	3	1	no	—
498	#388	—	3	1	no	—
499	#388	—	3	1	no	—
500	#388	—	3	1	no	—
501	#388	—	3	1	no	—
502	#388	—	3	1	no	—
503	#388	—	3	1	no	—
504	#388	—	3	1	no	—
505	#388	—	3	1	no	—
506	#388	—	3	1	no	—
507	#388	—	3	1	no	—
508	#388	—	3	1	no	—
509	#388	—	3	1	no	—
510	#387	—	3	1	no	—
511	#387	—	3	1	no	—
512	#387	—	3	1	no	—
513	#387	—	3	1	no	—
514	#387	—	3	1	no	—
515	#387	—	3	1	no	—
516	#387	—	3	1	no	—
517	#387	—	3	1	no	—
518	#387	—	3	1	no	—
519	#387	—	3	1	no	—
520	#387	—	3	1	no	—
521	#387	—	3	1	no	—
522	#387	—	3	1	no	—
523	#387	—	3	1	no	—
524	#385	—	3	1	no	—
525	#385	—	3	1	no	—
526	#385	—	3	1	no	—
527	#385	—	3	1	no	—
528	#385	—	3	1	no	—
529	#385	—	3	1	no	—
530	#385	—	3	1	no	—
531	#385	—	3	1	no	—
532	#385	—	3	1	no	—
533	#385	—	3	1	no	—
534	#385	—	3	1	no	—
535	#385	—	3	1	no	—
536	#385	—	3	1	no	—
537	#385	—	3	1	no	—
538	#385	—	3	1	no	—
539	#385	—	3	1	no	—
540	#384	—	3	1	no	—
541	#382	—	3	1	no	—
542	#382	—	3	1	no	—
543	#381	—	3	1	no	—
544	#380	—	3	1	no	—
545	#380	—	3	1	no	—
546	#380	—	3	1	no	—
547	#380	—	3	1	no	—
548	#380	—	3	1	no	—
549	#380	—	3	1	no	—
550	#380	—	3	1	no	—
551	#380	—	3	1	no	—
552	#379	—	3	1	no	—
553	#379	—	3	1	no	—
554	#379	—	3	1	no	—
555	C₄×C₄⋊C₄	—	3	1	no	—
556	C₄×C₄⋊C₄	—	3	1	no	—
557	C₄×C₄⋊C₄	—	3	1	no	—
558	C₄×C₄⋊C₄	—	3	1	no	—
559	C₄×C₂²⋊C₄	—	3	1	no	—
560	C₄×C₂²⋊C₄	—	3	1	no	—
561	C₄×C₂²⋊C₄	—	3	1	no	—
562	C₄×C₂²⋊C₄	—	3	1	no	—
563	C₄×C₂²⋊C₄	—	3	1	no	—
564	C₄×C₂²⋊C₄	—	3	1	no	—
565	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
566	C₂³×D₃	—	2	2	no	—
567	C₂³×D₃	—	2	2	no	—
568	C₂³×D₃	—	2	2	no	—
569	C₂³×D₃	—	2	2	no	—
570	C₂³×D₃	—	4	1	no	—
571	C₂³×D₃	—	4	1	no	—
572	C₂³×D₃	—	4	1	no	—
573	C₂³×D₃	C₂⁴	1	1	yes	characteristic
574	C₂³×D₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₃×Q₈	—	2	2	no	—
576	C₂×C₃×Q₈	—	2	2	no	—
577	C₂×C₃×Q₈	—	2	2	no	—
578	C₂×C₃×Q₈	—	2	2	no	—
579	C₂×C₃×Q₈	—	4	1	no	—
580	C₂×C₃×Q₈	—	4	1	no	—
581	C₂²×C₃×C₄	—	2	2	no	—
582	C₂²×C₃×C₄	—	2	2	no	—
583	C₂²×C₃×C₄	—	4	1	no	—
584	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
585	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
586	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
587	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
588	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
589	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
590	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
591	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
592	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
593	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
594	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
595	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
596	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×Dic₃	—	2	2	no	—
599	C₂²×Dic₃	—	4	1	no	—
600	C₂²×Dic₃	—	4	1	no	—
601	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
602	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
603	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
604	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
605	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
606	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
612	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
614	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
615	C₂×C₄×D₃	—	2	2	no	—
616	C₂×C₄×D₃	—	2	2	no	—
617	C₂×C₄×D₃	—	2	2	no	—
618	C₂×C₄×D₃	—	2	2	no	—
619	C₂×C₄×D₃	—	2	2	no	—
620	C₂×C₄×D₃	—	2	2	no	—
621	C₂×C₄×D₃	—	2	2	no	—
622	C₂×C₄×D₃	—	2	2	no	—
623	C₂×C₄×D₃	—	2	2	no	—
624	C₂×C₄×D₃	—	2	2	no	—
625	C₂×C₄×D₃	—	2	2	no	—
626	C₂×C₄×D₃	—	2	2	no	—
627	C₂×C₄×D₃	—	4	1	no	—
628	C₂×C₄×D₃	—	4	1	no	—
629	C₂×C₄×D₃	—	4	1	no	—
630	C₂×C₄×D₃	—	4	1	no	—
631	C₂×C₄×D₃	—	4	1	no	—
632	C₂×C₄×D₃	—	4	1	no	—
633	C₃×C₄⋊C₄	—	2	2	no	—
634	C₃×C₄⋊C₄	—	2	2	no	—
635	C₃×C₄⋊C₄	—	2	2	no	—
636	C₃×C₄⋊C₄	—	2	2	no	—
637	C₃×C₄⋊C₄	—	2	2	no	—
638	C₃×C₄⋊C₄	—	2	2	no	—
639	C₃×C₄⋊C₄	—	2	2	no	—
640	C₃×C₄⋊C₄	—	2	2	no	—
641	C₃×C₄⋊C₄	—	2	2	no	—
642	C₃×C₄⋊C₄	—	2	2	no	—
643	C₃×C₄⋊C₄	—	2	2	no	—
644	C₃×C₄⋊C₄	—	2	2	no	—
645	C₃×C₄⋊C₄	—	2	2	no	—
646	C₃×C₄⋊C₄	—	2	2	no	—
647	C₃×C₄⋊C₄	—	2	2	no	—
648	C₃×C₄⋊C₄	—	2	2	no	—
649	C₃×C₄⋊C₄	—	2	2	no	—
650	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
651	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
652	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
653	C₃×C₂²⋊C₄	—	2	2	no	—
654	C₃×C₂²⋊C₄	—	2	2	no	—
655	C₃×C₂²⋊C₄	—	2	2	no	—
656	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
657	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
658	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
659	C₃×C₄²	—	2	2	no	—
660	C₃×C₄²	—	2	2	no	—
661	C₃×C₄²	—	2	2	no	—
662	C₃×C₄²	—	2	2	no	—
663	C₃×C₄²	—	2	2	no	—
664	C₃×C₄²	C₂×D₄	1	4	yes	—
665	#217	—	2	2	no	—
666	#217	—	2	2	no	—
667	#217	—	2	2	no	—
668	#217	—	4	1	no	—
669	#217	—	4	1	no	—
670	#217	—	4	1	no	—
671	(C₂×D₃)⋊C₄	—	2	2	no	—
672	(C₂×D₃)⋊C₄	—	2	2	no	—
673	(C₂×D₃)⋊C₄	—	2	2	no	—
674	(C₂×D₃)⋊C₄	—	2	2	no	—
675	(C₂×D₃)⋊C₄	—	2	2	no	—
676	(C₂×D₃)⋊C₄	—	2	2	no	—
677	(C₂×D₃)⋊C₄	—	2	2	no	—
678	(C₂×D₃)⋊C₄	—	2	2	no	—
679	(C₂×D₃)⋊C₄	—	2	2	no	—
680	(C₂×D₃)⋊C₄	—	2	2	no	—
681	(C₂×D₃)⋊C₄	—	2	2	no	—
682	(C₂×D₃)⋊C₄	—	2	2	no	—
683	(C₂×D₃)⋊C₄	—	2	2	no	—
684	(C₂×D₃)⋊C₄	—	2	2	no	—
685	(C₂×D₃)⋊C₄	—	2	2	no	—
686	(C₂×D₃)⋊C₄	—	4	1	no	—
687	(C₂×D₃)⋊C₄	—	4	1	no	—
688	(C₂×D₃)⋊C₄	—	4	1	no	—
689	(C₂×D₃)⋊C₄	—	4	1	no	—
690	(C₂×D₃)⋊C₄	—	4	1	no	—
691	(C₂×D₃)⋊C₄	—	4	1	no	—
692	(C₂×D₃)⋊C₄	#41	1	4	yes	—
693	C₄⋊Dic₃	—	2	2	no	—
694	C₄⋊Dic₃	—	2	2	no	—
695	C₄⋊Dic₃	—	2	2	no	—
696	C₄⋊Dic₃	—	2	2	no	—
697	C₄⋊Dic₃	—	2	2	no	—
698	C₄⋊Dic₃	—	4	1	no	—
699	C₄⋊Dic₃	—	4	1	no	—
700	C₄⋊Dic₃	—	4	1	no	—
701	C₄⋊Dic₃	—	4	1	no	—
702	C₄⋊Dic₃	—	4	1	no	—
703	Dic₃⋊C₄	—	2	2	no	—
704	Dic₃⋊C₄	—	2	2	no	—
705	Dic₃⋊C₄	—	2	2	no	—
706	Dic₃⋊C₄	—	2	2	no	—
707	Dic₃⋊C₄	—	2	2	no	—
708	Dic₃⋊C₄	—	2	2	no	—
709	Dic₃⋊C₄	—	2	2	no	—
710	Dic₃⋊C₄	—	2	2	no	—
711	Dic₃⋊C₄	—	2	2	no	—
712	Dic₃⋊C₄	—	2	2	no	—
713	Dic₃⋊C₄	—	4	1	no	—
714	Dic₃⋊C₄	—	4	1	no	—
715	Dic₃⋊C₄	—	4	1	no	—
716	Dic₃⋊C₄	—	4	1	no	—
717	Dic₃⋊C₄	—	4	1	no	—
718	Dic₃⋊C₄	—	4	1	no	—
719	Dic₃⋊C₄	—	4	1	no	—
720	Dic₃⋊C₄	—	4	1	no	—
721	Dic₃⋊C₄	—	4	1	no	—
722	Dic₃⋊C₄	—	4	1	no	—
723	Dic₃⋊C₄	—	4	1	no	—
724	Dic₃⋊C₄	—	4	1	no	—
725	C₄×Dic₃	—	2	2	no	—
726	C₄×Dic₃	—	2	2	no	—
727	C₄×Dic₃	—	2	2	no	—
728	C₄×Dic₃	—	4	1	no	—
729	C₄×Dic₃	—	4	1	no	—
730	C₄×Dic₃	—	4	1	no	—
731	C₄×Dic₃	—	4	1	no	—
732	C₄×Dic₃	—	4	1	no	—
733	C₂⁵	—	3	1	no	—
734	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
735	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
736	C₂³×C₄	—	3	1	no	—
737	C₂³×C₄	—	3	1	no	—
738	C₂³×C₄	—	3	1	no	—
739	C₂³×C₄	—	3	1	no	—
740	C₂³×C₄	—	3	1	no	—
741	C₂³×C₄	—	3	1	no	—
742	C₂³×C₄	—	3	1	no	—
743	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
744	C₄⋊Q₈	—	2	4	no	—
745	#126	—	2	4	no	—
746	#126	—	2	4	no	—
747	#126	—	2	4	no	—
748	#126	—	6	4	no	—
749	#126	—	6	4	no	—
750	#126	—	6	4	no	—
751	#126	—	6	4	no	—
752	#126	—	6	4	no	—
753	#126	—	6	4	no	—
754	#126	—	6	4	no	—
755	#126	#67	1	8	yes	—
756	#125	—	2	4	no	—
757	#125	—	2	4	no	—
758	#125	—	2	4	no	—
759	#125	—	2	4	no	—
760	#125	—	2	4	no	—
761	C₂²⋊Q₈	—	2	4	no	—
762	C₂²⋊Q₈	—	2	4	no	—
763	C₂²⋊Q₈	—	6	4	no	—
764	C₂²⋊Q₈	—	6	4	no	—
765	C₄×Q₈	—	2	4	no	—
766	C₄×Q₈	—	2	4	no	—
767	#117	—	2	4	no	—
768	C₂×C₄⋊C₄	—	3	1	no	—
769	C₂×C₄⋊C₄	—	3	1	no	—
770	C₂×C₄⋊C₄	—	3	1	no	—
771	C₂×C₄⋊C₄	—	3	1	no	—
772	C₂×C₄⋊C₄	—	3	1	no	—
773	C₂×C₄⋊C₄	—	3	1	no	—
774	C₂×C₄⋊C₄	—	3	1	no	—
775	C₂×C₄⋊C₄	—	3	1	no	—
776	C₂×C₄⋊C₄	—	3	1	no	—
777	C₂×C₄⋊C₄	—	3	1	no	—
778	C₂×C₄⋊C₄	—	3	1	no	—
779	C₂×C₄⋊C₄	—	3	1	no	—
780	C₂×C₄⋊C₄	—	3	1	no	—
781	C₂×C₄⋊C₄	—	3	1	no	—
782	C₂×C₄⋊C₄	—	3	1	no	—
783	C₂×C₄⋊C₄	—	3	1	no	—
784	C₂×C₄⋊C₄	—	3	1	no	—
785	C₂×C₄⋊C₄	—	3	1	no	—
786	C₂×C₄⋊C₄	—	3	1	no	—
787	C₂×C₄⋊C₄	—	3	1	no	—
788	C₂×C₄⋊C₄	—	3	1	no	—
789	C₂×C₄⋊C₄	—	3	1	no	—
790	C₂×C₄⋊C₄	—	3	1	no	—
791	C₂×C₄⋊C₄	—	3	1	no	—
792	C₂×C₄⋊C₄	—	3	1	no	—
793	C₂×C₄⋊C₄	—	3	1	no	—
794	C₂×C₄⋊C₄	—	3	1	no	—
795	C₂×C₄⋊C₄	—	3	1	no	—
796	C₂×C₄⋊C₄	—	3	1	no	—
797	C₂×C₄⋊C₄	—	3	1	no	—
798	C₂×C₄⋊C₄	—	3	1	no	—
799	C₂×C₄⋊C₄	—	3	1	no	—
800	C₂×C₄⋊C₄	—	6	4	no	—
801	C₂×C₄⋊C₄	—	6	4	no	—
802	C₂×C₄⋊C₄	—	6	4	no	—
803	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	—	3	1	no	—
824	C₂×C₂²⋊C₄	—	3	1	no	—
825	C₂×C₂²⋊C₄	—	3	1	no	—
826	C₂×C₂²⋊C₄	—	3	1	no	—
827	C₂×C₂²⋊C₄	—	3	1	no	—
828	C₂×C₂²⋊C₄	—	3	1	no	—
829	C₂×C₂²⋊C₄	—	3	1	no	—
830	C₂×C₂²⋊C₄	—	3	1	no	—
831	C₂×C₂²⋊C₄	—	3	1	no	—
832	C₂×C₂²⋊C₄	—	3	1	no	—
833	C₂×C₂²⋊C₄	—	3	1	no	—
834	C₂×C₂²⋊C₄	—	3	1	no	—
835	C₂×C₂²⋊C₄	—	3	1	no	—
836	C₂×C₂²⋊C₄	—	3	1	no	—
837	C₂×C₂²⋊C₄	—	3	1	no	—
838	C₂×C₂²⋊C₄	—	3	1	no	—
839	C₂×C₂²⋊C₄	—	3	1	no	—
840	C₂×C₂²⋊C₄	—	3	1	no	—
841	C₂×C₂²⋊C₄	—	3	1	no	—
842	C₂×C₂²⋊C₄	—	3	1	no	—
843	C₂×C₂²⋊C₄	—	3	1	no	—
844	C₂×C₂²⋊C₄	—	3	1	no	—
845	C₂×C₂²⋊C₄	—	3	1	no	—
846	C₂×C₂²⋊C₄	—	3	1	no	—
847	C₂×C₂²⋊C₄	—	3	1	no	—
848	C₂×C₂²⋊C₄	—	3	1	no	—
849	C₂×C₂²⋊C₄	—	3	1	no	—
850	C₂×C₂²⋊C₄	—	3	1	no	—
851	C₂×C₂²⋊C₄	—	6	4	no	—
852	C₂×C₂²⋊C₄	—	6	4	no	—
853	C₂×C₂²⋊C₄	—	6	4	no	—
854	C₂×C₂²⋊C₄	—	6	4	no	—
855	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
856	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
861	C₂×C₄²	—	3	1	no	—
862	C₂×C₄²	—	3	1	no	—
863	C₂×C₄²	—	3	1	no	—
864	C₂×C₄²	—	3	1	no	—
865	C₂×C₄²	—	3	1	no	—
866	C₂×C₄²	—	3	1	no	—
867	C₂×C₄²	—	3	1	no	—
868	C₂×C₄²	—	3	1	no	—
869	C₂×C₄²	—	6	4	no	—
870	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
871	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
872	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
873	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
874	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
875	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
876	#95	—	3	1	no	—
877	#95	—	3	1	no	—
878	#95	—	3	1	no	—
879	#95	—	3	1	no	—
880	#95	—	3	1	no	—
881	#95	—	3	1	no	—
882	#95	—	3	1	no	—
883	#95	—	3	1	no	—
884	#95	—	3	1	no	—
885	#95	—	3	1	no	—
886	#95	—	3	1	no	—
887	#95	—	3	1	no	—
888	#95	—	3	1	no	—
889	#95	—	3	1	no	—
890	#95	—	3	1	no	—
891	#95	—	3	1	no	—
892	#95	—	3	1	no	—
893	#95	—	3	1	no	—
894	#95	—	3	1	no	—
895	#95	—	3	1	no	—
896	#95	—	3	1	no	—
897	#95	—	3	1	no	—
898	#95	—	3	1	no	—
899	#95	—	3	1	no	—
900	#95	—	3	1	no	—
901	#95	—	3	1	no	—
902	#95	—	3	1	no	—
903	#95	—	3	1	no	—
904	#95	—	3	1	no	—
905	#95	—	3	1	no	—
906	#95	—	3	1	no	—
907	#95	—	3	1	no	—
908	#95	—	3	1	no	—
909	#95	—	3	1	no	—
910	#95	—	3	1	no	—
911	#95	—	3	1	no	—
912	#95	—	3	1	no	—
913	#95	—	3	1	no	—
914	#95	—	3	1	no	—
915	#95	—	3	1	no	—
916	#95	—	3	1	no	—
917	#95	—	3	1	no	—
918	#95	—	3	1	no	—
919	#95	—	3	1	no	—
920	C₂³×C₃	—	2	1	no	—
921	C₂³×C₃	—	2	1	no	—
922	C₂³×C₃	—	2	1	no	—
923	C₂³×C₃	—	2	1	no	—
924	C₂³×C₃	—	2	1	no	—
925	C₂³×C₃	—	2	1	no	—
926	C₂³×C₃	C₂²×D₄	1	2	yes	—
927	C₂³×C₃	C₂⁵	1	1	yes	characteristic
928	C₂²×D₃	—	2	1	no	—
929	C₂²×D₃	—	2	1	no	—
930	C₂²×D₃	—	2	1	no	—
931	C₂²×D₃	—	2	1	no	—
932	C₂²×D₃	—	2	1	no	—
933	C₂²×D₃	—	2	1	no	—
934	C₂²×D₃	—	2	1	no	—
935	C₂²×D₃	—	2	1	no	—
936	C₂²×D₃	—	2	1	no	—
937	C₂²×D₃	—	2	1	no	—
938	C₂²×D₃	—	2	1	no	—
939	C₂²×D₃	—	4	4	no	—
940	C₂²×D₃	—	4	4	no	—
941	C₂²×D₃	—	4	4	no	—
942	C₂²×D₃	—	4	4	no	—
943	C₂²×D₃	—	8	2	no	—
944	C₂²×D₃	—	8	2	no	—
945	C₂²×D₃	—	8	2	no	—
946	C₂²×D₃	C₂×#41	1	2	yes	—
947	C₂²×D₃	2₋¹⁺⁴	1	2	yes	—
948	C₂²×D₃	2₋¹⁺⁴	1	2	yes	—
949	C₃×Q₈	—	4	4	no	—
950	C₃×Q₈	—	4	4	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	2	1	no	—
959	C₂×C₃×C₄	—	2	1	no	—
960	C₂×C₃×C₄	—	2	1	no	—
961	C₂×C₃×C₄	—	2	1	no	—
962	C₂×C₃×C₄	—	2	1	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	1	no	—
967	C₂×C₃×C₄	—	2	1	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	1	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	1	no	—
973	C₂×C₃×C₄	—	2	1	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	1	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	1	no	—
979	C₂×C₃×C₄	—	2	1	no	—
980	C₂×C₃×C₄	—	2	1	no	—
981	C₂×C₃×C₄	—	2	1	no	—
982	C₂×C₃×C₄	—	2	1	no	—
983	C₂×C₃×C₄	—	2	1	no	—
984	C₂×C₃×C₄	—	2	1	no	—
985	C₂×C₃×C₄	—	2	1	no	—
986	C₂×C₃×C₄	—	4	4	no	—
987	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
988	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
989	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
990	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
991	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
992	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
993	C₂×C₃×C₄	C₂×#41	1	2	yes	—
994	C₂×Dic₃	—	2	1	no	—
995	C₂×Dic₃	—	2	1	no	—
996	C₂×Dic₃	—	2	1	no	—
997	C₂×Dic₃	—	2	1	no	—
998	C₂×Dic₃	—	2	1	no	—
999	C₂×Dic₃	—	2	1	no	—
1000	C₂×Dic₃	—	2	1	no	—
1001	C₂×Dic₃	—	2	1	no	—
1002	C₂×Dic₃	—	2	1	no	—
1003	C₂×Dic₃	—	2	1	no	—
1004	C₂×Dic₃	—	2	1	no	—
1005	C₂×Dic₃	—	2	1	no	—
1006	C₂×Dic₃	—	2	1	no	—
1007	C₂×Dic₃	—	2	1	no	—
1008	C₂×Dic₃	—	2	1	no	—
1009	C₂×Dic₃	—	2	1	no	—
1010	C₂×Dic₃	—	2	1	no	—
1011	C₂×Dic₃	—	2	1	no	—
1012	C₂×Dic₃	—	2	1	no	—
1013	C₂×Dic₃	—	2	1	no	—
1014	C₂×Dic₃	—	2	1	no	—
1015	C₂×Dic₃	—	2	1	no	—
1016	C₂×Dic₃	—	2	1	no	—
1017	C₂×Dic₃	—	2	1	no	—
1018	C₂×Dic₃	—	2	1	no	—
1019	C₂×Dic₃	—	2	1	no	—
1020	C₂×Dic₃	—	2	1	no	—
1021	C₂×Dic₃	—	2	1	no	—
1022	C₂×Dic₃	—	2	1	no	—
1023	C₂×Dic₃	—	2	1	no	—
1024	C₂×Dic₃	—	2	1	no	—
1025	C₂×Dic₃	—	2	1	no	—
1026	C₂×Dic₃	—	2	1	no	—
1027	C₂×Dic₃	—	2	1	no	—
1028	C₂×Dic₃	—	2	1	no	—
1029	C₂×Dic₃	—	2	1	no	—
1030	C₂×Dic₃	—	2	1	no	—
1031	C₂×Dic₃	—	2	1	no	—
1032	C₂×Dic₃	—	2	1	no	—
1033	C₂×Dic₃	—	2	1	no	—
1034	C₂×Dic₃	—	2	1	no	—
1035	C₂×Dic₃	—	8	2	no	—
1036	C₂×Dic₃	C₂×#41	1	2	yes	—
1037	C₄×D₃	—	4	4	no	—
1038	C₄×D₃	—	4	4	no	—
1039	C₄×D₃	—	4	4	no	—
1040	C₄×D₃	—	4	4	no	—
1041	C₄×D₃	—	4	4	no	—
1042	C₄×D₃	—	4	4	no	—
1043	C₂⁴	—	3	1	no	—
1044	C₂⁴	—	3	1	no	—
1045	C₂⁴	—	6	2	no	—
1046	C₂⁴	—	6	2	no	—
1047	C₂⁴	—	6	2	no	—
1048	C₂⁴	—	6	2	no	—
1049	C₂⁴	—	12	1	no	—
1050	C₂⁴	—	12	1	no	—
1051	C₂⁴	—	12	1	no	—
1052	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1053	C₂×Q₈	—	2	2	no	—
1054	C₂×Q₈	—	2	2	no	—
1055	C₂×Q₈	—	2	2	no	—
1056	C₂×Q₈	—	2	2	no	—
1057	C₂×Q₈	—	4	1	no	—
1058	C₂×Q₈	—	4	1	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	3	1	no	—
1062	C₂²×C₄	—	3	1	no	—
1063	C₂²×C₄	—	3	1	no	—
1064	C₂²×C₄	—	3	1	no	—
1065	C₂²×C₄	—	3	1	no	—
1066	C₂²×C₄	—	3	1	no	—
1067	C₂²×C₄	—	3	1	no	—
1068	C₂²×C₄	—	3	1	no	—
1069	C₂²×C₄	—	3	1	no	—
1070	C₂²×C₄	—	3	1	no	—
1071	C₂²×C₄	—	3	1	no	—
1072	C₂²×C₄	—	3	1	no	—
1073	C₂²×C₄	—	3	1	no	—
1074	C₂²×C₄	—	3	1	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	6	2	no	—
1077	C₂²×C₄	—	6	2	no	—
1078	C₂²×C₄	—	6	2	no	—
1079	C₂²×C₄	—	6	2	no	—
1080	C₂²×C₄	—	6	2	no	—
1081	C₂²×C₄	—	6	2	no	—
1082	C₂²×C₄	—	6	2	no	—
1083	C₂²×C₄	—	6	2	no	—
1084	C₂²×C₄	—	6	2	no	—
1085	C₂²×C₄	—	6	2	no	—
1086	C₂²×C₄	—	6	2	no	—
1087	C₂²×C₄	—	6	2	no	—
1088	C₂²×C₄	—	6	2	no	—
1089	C₂²×C₄	—	12	1	no	—
1090	C₂²×C₄	—	12	1	no	—
1091	C₂²×C₄	—	12	1	no	—
1092	C₂²×C₄	—	12	1	no	—
1093	C₂²×C₄	—	12	1	no	—
1094	C₂²×C₄	—	12	1	no	—
1095	C₂²×C₄	—	12	1	no	—
1096	C₂²×C₄	—	12	1	no	—
1097	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1098	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1111	C₄⋊C₄	—	2	2	no	—
1112	C₄⋊C₄	—	2	2	no	—
1113	C₄⋊C₄	—	2	2	no	—
1114	C₄⋊C₄	—	2	2	no	—
1115	C₄⋊C₄	—	2	2	no	—
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	2	2	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	—	6	2	no	—
1129	C₄⋊C₄	—	6	2	no	—
1130	C₄⋊C₄	—	6	2	no	—
1131	C₄⋊C₄	—	6	2	no	—
1132	C₄⋊C₄	—	6	2	no	—
1133	C₄⋊C₄	—	6	2	no	—
1134	C₄⋊C₄	—	6	2	no	—
1135	C₄⋊C₄	—	6	2	no	—
1136	C₄⋊C₄	—	6	2	no	—
1137	C₄⋊C₄	—	6	2	no	—
1138	C₄⋊C₄	—	6	2	no	—
1139	C₄⋊C₄	—	6	2	no	—
1140	C₄⋊C₄	—	6	2	no	—
1141	C₄⋊C₄	—	6	2	no	—
1142	C₄⋊C₄	—	6	2	no	—
1143	C₄⋊C₄	—	12	1	no	—
1144	C₄⋊C₄	—	12	1	no	—
1145	C₄⋊C₄	—	12	1	no	—
1146	C₄⋊C₄	—	12	1	no	—
1147	C₄⋊C₄	—	12	1	no	—
1148	C₄⋊C₄	—	12	1	no	—
1149	C₄⋊C₄	—	12	1	no	—
1150	C₄⋊C₄	—	12	1	no	—
1151	C₄⋊C₄	—	12	1	no	—
1152	C₄⋊C₄	—	12	1	no	—
1153	C₄⋊C₄	—	12	1	no	—
1154	C₄⋊C₄	—	12	1	no	—
1155	C₄⋊C₄	—	12	1	no	—
1156	C₄⋊C₄	—	12	1	no	—
1157	C₄⋊C₄	—	12	1	no	—
1158	C₄⋊C₄	—	12	1	no	—
1159	C₄⋊C₄	—	12	1	no	—
1160	C₄⋊C₄	C₂×#67	1	4	yes	—
1161	C₄⋊C₄	C₂×#67	1	4	yes	—
1162	C₄⋊C₄	C₂×#67	1	4	yes	—
1163	C₂²⋊C₄	—	2	2	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	3	4	no	—
1167	C₂²⋊C₄	—	6	2	no	—
1168	C₂²⋊C₄	—	6	2	no	—
1169	C₂²⋊C₄	—	6	2	no	—
1170	C₂²⋊C₄	—	6	2	no	—
1171	C₂²⋊C₄	—	6	2	no	—
1172	C₂²⋊C₄	—	6	2	no	—
1173	C₂²⋊C₄	—	6	2	no	—
1174	C₂²⋊C₄	—	6	2	no	—
1175	C₂²⋊C₄	—	6	2	no	—
1176	C₂²⋊C₄	—	6	2	no	—
1177	C₂²⋊C₄	—	6	2	no	—
1178	C₂²⋊C₄	—	6	2	no	—
1179	C₂²⋊C₄	—	6	2	no	—
1180	C₂²⋊C₄	—	6	2	no	—
1181	C₂²⋊C₄	—	6	2	no	—
1182	C₂²⋊C₄	—	6	2	no	—
1183	C₂²⋊C₄	—	6	2	no	—
1184	C₂²⋊C₄	—	6	2	no	—
1185	C₂²⋊C₄	—	12	1	no	—
1186	C₂²⋊C₄	—	12	1	no	—
1187	C₂²⋊C₄	—	12	1	no	—
1188	C₂²⋊C₄	—	12	1	no	—
1189	C₂²⋊C₄	—	12	1	no	—
1190	C₂²⋊C₄	—	12	1	no	—
1191	C₂²⋊C₄	—	12	1	no	—
1192	C₂²⋊C₄	—	12	1	no	—
1193	C₂²⋊C₄	—	12	1	no	—
1194	C₂²⋊C₄	C₂×#67	1	4	yes	—
1195	C₂²⋊C₄	C₂×#67	1	4	yes	—
1196	C₂²⋊C₄	C₂×#67	1	4	yes	—
1197	C₄²	—	2	2	no	—
1198	C₄²	—	2	2	no	—
1199	C₄²	—	2	2	no	—
1200	C₄²	—	2	2	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	6	2	no	—
1203	C₄²	—	6	2	no	—
1204	C₄²	—	6	2	no	—
1205	C₄²	—	12	1	no	—
1206	C₄²	—	12	1	no	—
1207	C₄²	—	12	1	no	—
1208	C₄²	—	12	1	no	—
1209	C₄²	—	12	1	no	—
1210	C₄²	C₂×#67	1	4	yes	—
1211	C₂²×C₃	—	2	2	no	—
1212	C₂²×C₃	—	2	2	no	—
1213	C₂²×C₃	—	2	2	no	—
1214	C₂²×C₃	—	4	1	no	—
1215	C₂²×C₃	—	4	1	no	—
1216	C₂²×C₃	—	4	1	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1219	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1220	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1221	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1222	C₂²×C₃	#585	1	1	yes	characteristic
1223	C₂²×C₃	#585	1	1	yes	characteristic
1224	C₂²×C₃	#585	1	1	yes	characteristic
1225	C₂×D₃	—	2	2	no	—
1226	C₂×D₃	—	2	2	no	—
1227	C₂×D₃	—	2	2	no	—
1228	C₂×D₃	—	2	2	no	—
1229	C₂×D₃	—	2	2	no	—
1230	C₂×D₃	—	2	2	no	—
1231	C₂×D₃	—	4	1	no	—
1232	C₂×D₃	—	4	1	no	—
1233	C₂×D₃	—	4	1	no	—
1234	C₂×D₃	—	4	1	no	—
1235	C₂×D₃	—	4	1	no	—
1236	C₂×D₃	—	4	1	no	—
1237	C₂×D₃	—	4	1	no	—
1238	C₂×D₃	—	8	8	no	—
1239	C₂×D₃	#541	1	4	yes	complemented
1240	C₃×C₄	—	2	2	no	—
1241	C₃×C₄	—	2	2	no	—
1242	C₃×C₄	—	2	2	no	—
1243	C₃×C₄	—	2	2	no	—
1244	C₃×C₄	—	2	2	no	—
1245	C₃×C₄	—	2	2	no	—
1246	C₃×C₄	—	2	2	no	—
1247	C₃×C₄	—	4	1	no	—
1248	C₃×C₄	—	4	1	no	—
1249	C₃×C₄	—	4	1	no	—
1250	C₃×C₄	—	4	1	no	—
1251	C₃×C₄	—	4	1	no	—
1252	C₃×C₄	—	4	1	no	—
1253	C₃×C₄	—	4	1	no	—
1254	Dic₃	—	2	2	no	—
1255	Dic₃	—	4	1	no	—
1256	Dic₃	—	4	1	no	—
1257	Dic₃	—	4	1	no	—
1258	Dic₃	—	4	1	no	—
1259	Dic₃	—	4	1	no	—
1260	Dic₃	—	4	1	no	—
1261	Dic₃	—	4	1	no	—
1262	Dic₃	—	4	1	no	—
1263	Dic₃	—	4	1	no	—
1264	Dic₃	—	4	1	no	—
1265	Dic₃	—	4	1	no	—
1266	Dic₃	—	4	1	no	—
1267	Dic₃	—	4	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	3	2	no	—
1275	C₂³	—	3	2	no	—
1276	C₂³	—	3	2	no	—
1277	C₂³	—	6	1	no	—
1278	C₂³	—	6	1	no	—
1279	C₂³	—	6	1	no	—
1280	C₂³	—	6	1	no	—
1281	C₂³	—	6	1	no	—
1282	C₂³	—	6	1	no	—
1283	C₂³	—	6	1	no	—
1284	C₂³	—	6	1	no	—
1285	C₂³	—	6	1	no	—
1286	C₂³	—	6	1	no	—
1287	C₂³	—	6	1	no	—
1288	C₂³	—	12	4	no	—
1289	C₂³	—	12	4	no	—
1290	C₂³	—	12	4	no	—
1291	C₂³	—	12	4	no	—
1292	C₂³	—	24	2	no	—
1293	C₂³	—	24	2	no	—
1294	C₂³	—	24	2	no	—
1295	C₂³	C₂²×#67	1	2	yes	—
1296	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1297	Q₈	—	4	4	no	—
1298	Q₈	—	4	4	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	3	2	no	—
1335	C₂×C₄	—	4	4	no	—
1336	C₂×C₄	—	6	1	no	—
1337	C₂×C₄	—	6	1	no	—
1338	C₂×C₄	—	6	1	no	—
1339	C₂×C₄	—	6	1	no	—
1340	C₂×C₄	—	6	1	no	—
1341	C₂×C₄	—	6	1	no	—
1342	C₂×C₄	—	6	1	no	—
1343	C₂×C₄	—	6	1	no	—
1344	C₂×C₄	—	6	1	no	—
1345	C₂×C₄	—	6	1	no	—
1346	C₂×C₄	—	6	1	no	—
1347	C₂×C₄	—	6	1	no	—
1348	C₂×C₄	—	6	1	no	—
1349	C₂×C₄	—	6	1	no	—
1350	C₂×C₄	—	6	1	no	—
1351	C₂×C₄	—	6	1	no	—
1352	C₂×C₄	—	6	1	no	—
1353	C₂×C₄	—	6	1	no	—
1354	C₂×C₄	—	6	1	no	—
1355	C₂×C₄	—	6	1	no	—
1356	C₂×C₄	—	6	1	no	—
1357	C₂×C₄	—	6	1	no	—
1358	C₂×C₄	—	6	1	no	—
1359	C₂×C₄	—	6	1	no	—
1360	C₂×C₄	—	6	1	no	—
1361	C₂×C₄	—	6	1	no	—
1362	C₂×C₄	—	6	1	no	—
1363	C₂×C₄	—	6	1	no	—
1364	C₂×C₄	—	6	1	no	—
1365	C₂×C₄	—	6	1	no	—
1366	C₂×C₄	—	6	1	no	—
1367	C₂×C₄	—	6	1	no	—
1368	C₂×C₄	—	6	1	no	—
1369	C₂×C₄	—	6	1	no	—
1370	C₂×C₄	—	6	1	no	—
1371	C₂×C₄	—	6	1	no	—
1372	C₂×C₄	—	6	1	no	—
1373	C₂×C₄	—	6	1	no	—
1374	C₂×C₄	—	6	1	no	—
1375	C₂×C₄	—	6	1	no	—
1376	C₂×C₄	—	6	1	no	—
1377	C₂×C₄	—	12	4	no	—
1378	C₂×C₄	—	12	4	no	—
1379	C₂×C₄	—	12	4	no	—
1380	C₂×C₄	—	12	4	no	—
1381	C₂×C₄	—	12	4	no	—
1382	C₂×C₄	—	12	4	no	—
1383	C₂×C₄	—	24	2	no	—
1384	C₂×C₄	D₃×#41	1	2	yes	—
1385	C₂×C₄	C₂²×#67	1	2	yes	—
1386	C₂×C₄	C₂²×#67	1	2	yes	—
1387	C₂×C₄	C₂²×#67	1	2	yes	—
1388	C₂×C₄	C₂²×#67	1	2	yes	—
1389	C₂×C₄	C₂²×#67	1	2	yes	—
1390	C₂×C₄	C₂²×#67	1	2	yes	—
1391	C₂×C₃	—	4	2	no	—
1392	C₂×C₃	C₂×#541	1	1	yes	characteristic
1393	C₂×C₃	D₄×#41	1	1	yes	characteristic
1394	C₂×C₃	#3489	1	1	yes	characteristic
1395	C₂×C₃	#3489	1	1	yes	characteristic
1396	C₂×C₃	#3521	1	1	yes	characteristic
1397	C₂×C₃	#3564	1	1	yes	characteristic
1398	C₂×C₃	#3564	1	1	yes	characteristic
1399	D₃	—	2	4	no	—
1400	D₃	—	8	1	no	—
1401	C₂²	—	2	2	no	—
1402	C₂²	—	2	2	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	3	4	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	6	2	no	—
1410	C₂²	—	6	2	no	—
1411	C₂²	—	6	2	no	—
1412	C₂²	—	6	2	no	—
1413	C₂²	—	6	2	no	—
1414	C₂²	—	6	2	no	—
1415	C₂²	—	12	1	no	—
1416	C₂²	—	12	1	no	—
1417	C₂²	—	12	1	no	—
1418	C₂²	—	12	1	no	—
1419	C₂²	—	12	1	no	—
1420	C₂²	—	12	1	no	—
1421	C₂²	—	12	1	no	—
1422	C₂²	—	24	8	no	—
1423	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1424	C₂²	#5964	1	1	yes	characteristic
1425	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1426	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1427	C₂²	#5968	1	1	yes	characteristic
1428	C₂²	#5968	1	1	yes	characteristic
1429	C₂²	C₂³×#67	1	1	yes	characteristic
1430	C₄	—	2	2	no	—
1431	C₄	—	2	2	no	—
1432	C₄	—	2	2	no	—
1433	C₄	—	2	2	no	—
1434	C₄	—	2	2	no	—
1435	C₄	—	2	2	no	—
1436	C₄	—	2	2	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	4	1	no	—
1440	C₄	—	4	1	no	—
1441	C₄	—	4	1	no	—
1442	C₄	—	4	1	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	6	2	no	—
1445	C₄	—	12	1	no	—
1446	C₄	—	12	1	no	—
1447	C₄	—	12	1	no	—
1448	C₄	—	12	1	no	—
1449	C₄	—	12	1	no	—
1450	C₄	—	12	1	no	—
1451	C₄	—	12	1	no	—
1452	C₄	—	12	1	no	—
1453	C₄	—	12	1	no	—
1454	C₄	—	12	1	no	—
1455	C₄	—	12	1	no	—
1456	C₄	—	12	1	no	—
1457	C₄	—	12	1	no	—
1458	C₃	#37727	1	1	yes	characteristic, complemented, Sylow
1459	C₂	—	4	2	no	—
1460	C₂	—	6	4	no	—
1461	C₂	—	24	1	no	—
1462	C₂	D₃×#541	1	1	yes	characteristic
1463	C₂	#86513	1	1	yes	characteristic
1464	C₂	#86521	1	1	yes	characteristic
1465	C₂	#86522	1	1	yes	characteristic
1466	C₂	#41×#67	1	1	yes	characteristic
1467	C₂	#87295	1	1	yes	characteristic
1468	C₂	#87295	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₂×C₃×#541	C₂
prime radical	C₂⁴×D₃	C₂³
hypercenter	C₂×#541	D₃
hypocenter	C₃	#37727
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ C₂×#541

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#541	C₂	semidirect
3. #83248	C₂	semidirect
4. #83233	C₂	semidirect
5. #83099	C₂	semidirect
6. #83099	C₂	semidirect
7. #83083	C₂	semidirect
11. #83074	C₂	semidirect
12. #83072	C₂	semidirect
13. #83053	C₂	semidirect
14. #83053	C₂	semidirect
15. #83052	C₂	semidirect
16. #83045	C₂	semidirect
17. #83035	C₂	semidirect
18. #83032	C₂	semidirect
19. #83032	C₂	semidirect
20. #83032	C₂	semidirect
21. #83028	C₂	semidirect
24. #82799	C₂	semidirect
25. #82795	C₂	semidirect
26. #82504	C₂	semidirect
27. #82490	C₂	semidirect
28. C₄×#946	C₂	semidirect
29. #82473	C₂	semidirect
31. #82252	C₂	semidirect
34. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
39. C₂×C₃×#125	C₂²	semidirect
40. C₂×C₃×#125	C₂²	semidirect
41. C₂×C₃×#125	C₂²	semidirect
42. C₂×C₃×#125	C₂²	semidirect
43. C₂×C₃×#125	C₂²	semidirect
46. C₂×C₃×C₄×Q₈	C₂²	semidirect
47. C₂×C₃×C₄×Q₈	C₂²	semidirect
69. #5230	C₂²	semidirect
70. #5230	C₂²	semidirect
71. #5229	C₂²	semidirect
72. #5229	C₂²	semidirect
110. #4986	C₂²	semidirect
111. #4986	C₂²	semidirect
112. #4986	C₂²	semidirect
113. #4985	C₂²	semidirect
114. #4985	C₂²	semidirect
115. #4984	C₂²	semidirect
116. #4984	C₂²	semidirect
117. #4983	C₂²	semidirect
118. #4983	C₂²	semidirect
119. #4983	C₂²	semidirect
120. #4982	C₂²	semidirect
121. #4982	C₂²	semidirect
122. #4982	C₂²	semidirect
123. #4982	C₂²	semidirect
124. #4982	C₂²	semidirect
125. #4982	C₂²	semidirect
126. #4982	C₂²	semidirect
127. #4981	C₂²	semidirect
128. #4981	C₂²	semidirect
129. #4981	C₂²	semidirect
130. #4980	C₂²	semidirect
131. #4980	C₂²	semidirect
132. #4980	C₂²	semidirect
133. #4978	C₂²	semidirect
134. #4978	C₂²	semidirect
135. #4978	C₂²	semidirect
136. #4978	C₂²	semidirect
137. #4978	C₂²	semidirect
138. #4978	C₂²	semidirect
139. #4977	C₂²	semidirect
140. #4976	C₂²	semidirect
141. #4976	C₂²	semidirect
142. #4976	C₂²	semidirect
143. #4976	C₂²	semidirect
144. #4976	C₂²	semidirect
145. #4975	C₂²	semidirect
146. Dic₃×C₄⋊C₄	C₂²	semidirect
147. #4972	C₂²	semidirect
148. #4972	C₂²	semidirect
149. #4972	C₂²	semidirect
178. #4936	C₂²	semidirect
179. C₄×C₄⋊Dic₃	C₂²	semidirect
180. #4933	C₂²	semidirect
181. #4933	C₂²	semidirect
182. #4933	C₂²	semidirect
183. #4933	C₂²	semidirect
184. #4933	C₂²	semidirect
185. C₄×Dic₃⋊C₄	C₂²	semidirect
186. C₄×Dic₃⋊C₄	C₂²	semidirect
187. #4928	C₂²	semidirect
188. #4928	C₂²	semidirect
189. #4928	C₂²	semidirect
190. C₂×#541	D₃	semidirect
409. C₂×C₄⋊Q₈	C₂×D₃	semidirect
422. C₂×#125	C₂×D₃	semidirect
423. C₂×#125	C₂×D₃	semidirect
424. C₂×#125	C₂×D₃	semidirect
425. C₂×#125	C₂×D₃	semidirect
426. C₂×#125	C₂×D₃	semidirect
431. C₂×C₄×Q₈	C₂×D₃	semidirect
432. C₂×C₄×Q₈	C₂×D₃	semidirect
1239. C₂×D₃	#541	semidirect
1458. C₃	#37727	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#541	2
C₂×D₃×#126	2
#83248	2
#83233	2
#83099	2
#83083	2
#83081	2
#83074	2
#83072	2
#83053	2
#83052	2
#83045	2
#83035	2
#83032	2
#83028	2
#82816	2
#82799	2
#82795	2
#82504	2
#82490	2
C₄×#946	2
#82473	2
#82271	2
#82252	2
#37727	3