Subgroups — #11301540

Order 768.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#5731	C₂	1	1	yes	maximal, characteristic, complemented
3	#83267	C₂	1	1	yes	maximal, characteristic, complemented
4	#83267	C₂	1	1	yes	maximal, characteristic, complemented
5	#83248	C₂	1	1	yes	maximal, characteristic, complemented
6	#83247	C₂	1	1	yes	maximal, characteristic, complemented
7	#83234	C₂	1	1	yes	maximal, characteristic, complemented
8	#83234	C₂	1	1	yes	maximal, characteristic, complemented
9	#83228	C₂	1	1	yes	maximal, characteristic, complemented
10	#83064	C₂	1	1	yes	maximal, characteristic, complemented
11	#83055	C₂	1	1	yes	maximal, characteristic, complemented
12	#83054	C₂	1	1	yes	maximal, characteristic, complemented
13	#83053	C₂	1	1	yes	maximal, characteristic, complemented
14	#83052	C₂	1	1	yes	maximal, characteristic, complemented
15	#83050	C₂	1	1	yes	maximal, characteristic, complemented
16	#83035	C₂	1	1	yes	maximal, characteristic, complemented
17	#83034	C₂	1	1	yes	maximal, characteristic, complemented
18	#82831	C₂	1	1	yes	maximal, characteristic
19	#82807	C₂	1	1	yes	maximal, characteristic
20	#82802	C₂	1	1	yes	maximal, characteristic, complemented
21	#82801	C₂	1	1	yes	maximal, characteristic
22	#82783	C₂	1	1	yes	maximal, characteristic
23	#82782	C₂	1	1	yes	maximal, characteristic, complemented
24	#82754	C₂	1	1	yes	maximal, characteristic, complemented
25	#82753	C₂	1	1	yes	maximal, characteristic, complemented
26	#82285	C₂	1	1	yes	maximal, characteristic
27	#82261	C₂	1	1	yes	maximal, characteristic, complemented
28	#82253	C₂	1	1	yes	maximal, characteristic
29	#82251	C₂	1	1	yes	maximal, characteristic, complemented
30	#82175	C₂	1	1	yes	maximal, characteristic
31	#82174	C₂	1	1	yes	maximal, characteristic, complemented
32	#47822	—	3	1	no	maximal, Sylow
33	C₃×#544	—	2	8	no	—
34	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₃×#125	C₂²	1	1	yes	characteristic
39	C₂×C₃×#125	C₂²	1	1	yes	characteristic
40	C₂×C₃×#125	C₂²	1	1	yes	characteristic
41	C₂×C₃×#125	C₂²	1	1	yes	characteristic
42	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₃×#117	C₂²	1	1	yes	characteristic
47	C₂×C₃×#117	C₂²	1	1	yes	characteristic
48	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×#946	C₂²	1	1	yes	characteristic
50	C₂×#946	C₂²	1	1	yes	characteristic
51	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic
52	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic
53	#5731	—	2	8	no	—
54	C₂×#898	C₂²	1	1	yes	characteristic
55	C₂×#898	C₂²	1	1	yes	characteristic
56	C₂×#898	C₂²	1	1	yes	characteristic
57	C₂×#898	C₂²	1	1	yes	characteristic
58	C₂×#889	C₂²	1	1	yes	characteristic
59	C₂×#889	C₂²	1	1	yes	characteristic
60	C₂×#889	C₂²	1	1	yes	characteristic
61	C₂×#889	C₂²	1	1	yes	characteristic
62	C₂×#872	C₂²	1	1	yes	characteristic
63	C₂×#870	C₂²	1	1	yes	characteristic
64	#5231	C₂²	1	1	yes	characteristic
65	#5231	C₂²	1	1	yes	characteristic
66	#5230	C₂²	1	1	yes	characteristic
67	#5230	C₂²	1	1	yes	characteristic
68	#5229	C₂²	1	1	yes	characteristic
69	#5229	C₂²	1	1	yes	characteristic
70	#5229	C₂²	1	1	yes	characteristic
71	#5229	C₂²	1	1	yes	characteristic
72	#5229	C₂²	1	1	yes	characteristic
73	#5229	C₂²	1	1	yes	characteristic
74	#5229	C₂²	1	1	yes	characteristic
75	#5229	C₂²	1	1	yes	characteristic
76	#5213	C₂²	1	1	yes	characteristic
77	#5213	C₂²	1	1	yes	characteristic
78	#5213	C₂²	1	1	yes	characteristic
79	#5212	C₂²	1	1	yes	characteristic
80	#5212	C₂²	1	1	yes	characteristic
81	#5210	C₂²	1	1	yes	characteristic
82	#5210	C₂²	1	1	yes	characteristic
83	#5210	C₂²	1	1	yes	characteristic
84	#5210	C₂²	1	1	yes	characteristic
85	#5210	C₂²	1	1	yes	characteristic
86	C₄×#217	C₂²	1	1	yes	characteristic
87	C₄×#217	C₂²	1	1	yes	characteristic
88	#4994	C₂²	1	1	yes	characteristic
89	#4994	C₂²	1	1	yes	characteristic
90	#4994	C₂²	1	1	yes	characteristic
91	#4994	C₂²	1	1	yes	characteristic
92	#4993	C₂²	1	1	yes	characteristic
93	#4993	C₂²	1	1	yes	characteristic
94	#4992	C₂²	1	1	yes	characteristic
95	#4992	C₂²	1	1	yes	characteristic
96	#4990	C₂²	1	1	yes	characteristic
97	#4990	C₂²	1	1	yes	characteristic
98	#4990	C₂²	1	1	yes	characteristic
99	#4990	C₂²	1	1	yes	characteristic
100	#4990	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	#4986	C₂²	1	1	yes	characteristic
105	#4986	C₂²	1	1	yes	characteristic
106	#4986	C₂²	1	1	yes	characteristic
107	#4986	C₂²	1	1	yes	characteristic
108	#4986	C₂²	1	1	yes	characteristic
109	#4986	C₂²	1	1	yes	characteristic
110	#4985	C₂²	1	1	yes	characteristic
111	#4985	C₂²	1	1	yes	characteristic
112	#4985	C₂²	1	1	yes	characteristic
113	#4985	C₂²	1	1	yes	characteristic
114	#4984	C₂²	1	1	yes	characteristic
115	#4984	C₂²	1	1	yes	characteristic
116	#4983	C₂²	1	1	yes	characteristic
117	#4983	C₂²	1	1	yes	characteristic
118	#4983	C₂²	1	1	yes	characteristic
119	#4983	C₂²	1	1	yes	characteristic
120	#4982	C₂²	1	1	yes	characteristic
121	#4982	C₂²	1	1	yes	characteristic
122	#4982	C₂²	1	1	yes	characteristic
123	#4982	C₂²	1	1	yes	characteristic
124	#4982	C₂²	1	1	yes	characteristic
125	#4982	C₂²	1	1	yes	characteristic
126	#4982	C₂²	1	1	yes	characteristic
127	#4982	C₂²	1	1	yes	characteristic
128	#4981	C₂²	1	1	yes	characteristic
129	#4981	C₂²	1	1	yes	characteristic
130	#4981	C₂²	1	1	yes	characteristic
131	#4981	C₂²	1	1	yes	characteristic
132	#4981	C₂²	1	1	yes	characteristic
133	#4981	C₂²	1	1	yes	characteristic
134	#4980	C₂²	1	1	yes	characteristic
135	#4980	C₂²	1	1	yes	characteristic
136	#4980	C₂²	1	1	yes	characteristic
137	#4980	C₂²	1	1	yes	characteristic
138	#4978	C₂²	1	1	yes	characteristic
139	#4978	C₂²	1	1	yes	characteristic
140	#4978	C₂²	1	1	yes	characteristic
141	#4978	C₂²	1	1	yes	characteristic
142	#4978	C₂²	1	1	yes	characteristic
143	#4978	C₂²	1	1	yes	characteristic
144	#4978	C₂²	1	1	yes	characteristic
145	#4978	C₂²	1	1	yes	characteristic
146	#4978	C₂²	1	1	yes	characteristic
147	#4977	C₂²	1	1	yes	characteristic
148	#4976	C₂²	1	1	yes	characteristic
149	#4976	C₂²	1	1	yes	characteristic
150	#4976	C₂²	1	1	yes	characteristic
151	#4976	C₂²	1	1	yes	characteristic
152	#4976	C₂²	1	1	yes	characteristic
153	#4976	C₂²	1	1	yes	characteristic
154	#4976	C₂²	1	1	yes	characteristic
155	#4975	C₂²	1	1	yes	characteristic
156	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
157	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
158	#4972	C₂²	1	1	yes	characteristic
159	#4972	C₂²	1	1	yes	characteristic
160	#4961	C₂²	1	1	yes	characteristic
161	#4961	C₂²	1	1	yes	characteristic
162	#4957	C₂²	1	1	yes	characteristic
163	#4956	C₂²	1	1	yes	characteristic
164	#4953	C₂²	1	1	yes	characteristic
165	#4953	C₂²	1	1	yes	characteristic
166	#4949	C₂²	1	1	yes	characteristic
167	#4949	C₂²	1	1	yes	characteristic
168	#4948	C₂²	1	1	yes	characteristic
169	#4948	C₂²	1	1	yes	characteristic
170	#4945	C₂²	1	1	yes	characteristic
171	#4945	C₂²	1	1	yes	characteristic
172	#4945	C₂²	1	1	yes	characteristic
173	#4944	C₂²	1	1	yes	characteristic
174	#4944	C₂²	1	1	yes	characteristic
175	#4944	C₂²	1	1	yes	characteristic
176	#4940	C₂²	1	1	yes	characteristic
177	#4940	C₂²	1	1	yes	characteristic
178	#4940	C₂²	1	1	yes	characteristic
179	#4936	C₂²	1	1	yes	characteristic
180	#4933	C₂²	1	1	yes	characteristic
181	#4933	C₂²	1	1	yes	characteristic
182	#4933	C₂²	1	1	yes	characteristic
183	#4933	C₂²	1	1	yes	characteristic
184	#4933	C₂²	1	1	yes	characteristic
185	#4932	C₂²	1	1	yes	characteristic
186	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
187	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
188	#4928	C₂²	1	1	yes	characteristic
189	#4928	C₂²	1	1	yes	characteristic
190	C₂×#544	D₃	1	1	yes	characteristic, complemented
191	C₂×#541	—	3	1	no	—
192	#2822	—	3	1	no	—
193	#2732	—	3	1	no	—
194	#2729	—	3	1	no	—
195	#2729	—	3	1	no	—
196	#2728	—	3	1	no	—
197	#2726	—	3	1	no	—
198	#2725	—	3	1	no	—
199	#2721	—	3	1	no	—
200	#2719	—	3	1	no	—
201	#2716	—	3	1	no	—
202	#2713	—	3	1	no	—
203	#2704	—	3	1	no	—
204	#2702	—	3	1	no	—
205	#2611	—	3	1	no	—
206	#2611	—	3	1	no	—
207	#2609	—	3	1	no	—
208	#2560	—	3	1	no	—
209	#2556	—	3	1	no	—
210	#2519	—	3	1	no	—
211	#2506	—	3	1	no	—
212	#2481	—	3	1	no	—
213	#2479	—	3	1	no	—
214	#2475	—	3	1	no	—
215	#2473	—	3	1	no	—
216	#2446	—	3	1	no	—
217	#2446	—	3	1	no	—
218	#2423	—	3	1	no	—
219	#2421	—	3	1	no	—
220	#2331	—	3	1	no	—
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
224	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
225	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂²×#67	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
230	C₃×C₄⋊Q₈	—	2	4	no	—
231	C₃×C₄⋊Q₈	—	2	4	no	—
232	C₃×C₄⋊Q₈	—	2	4	no	—
233	C₃×C₄⋊Q₈	D₄	1	8	yes	complemented
234	C₃×#125	—	2	4	no	—
235	C₃×#125	—	2	4	no	—
236	C₃×#125	—	2	4	no	—
237	C₃×#125	—	2	4	no	—
238	C₃×C₂²⋊Q₈	—	2	4	no	—
239	C₃×C₂²⋊Q₈	—	2	4	no	—
240	C₃×C₂²⋊Q₈	—	2	4	no	—
241	C₃×C₂²⋊Q₈	—	2	4	no	—
242	C₃×#117	—	2	4	no	—
243	C₃×#117	—	2	4	no	—
244	C₂×C₃×C₄⋊C₄	—	2	4	no	—
245	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₂²⋊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×C₄²	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
273	C₂×#217	C₂³	1	1	yes	characteristic
274	C₂×#217	C₂³	1	1	yes	characteristic
275	C₂×#217	C₂³	1	1	yes	characteristic
276	C₂×#217	C₂³	1	1	yes	characteristic
277	C₂×#217	C₂³	1	1	yes	characteristic
278	C₂×#217	C₂³	1	1	yes	characteristic
279	C₂×#217	C₂³	1	1	yes	characteristic
280	#946	—	2	4	no	—
281	#946	—	2	4	no	—
282	Q₈×Dic₃	—	2	4	no	—
283	Q₈×Dic₃	—	2	4	no	—
284	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
309	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×Dic₃⋊C₄	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×C₄×Dic₃	C₂³	1	1	yes	characteristic
335	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
336	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
337	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
338	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
339	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
340	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
341	C₂×C₄×Dic₃	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	#898	—	2	4	no	—
346	#898	—	2	4	no	—
347	#898	—	2	4	no	—
348	#898	—	2	4	no	—
349	#889	—	2	4	no	—
350	#889	—	2	4	no	—
351	#889	—	2	4	no	—
352	#889	—	2	4	no	—
353	#872	—	2	4	no	—
354	#870	—	2	4	no	—
355	C₃⋊#95	C₂³	1	1	yes	characteristic
356	C₃⋊#95	C₂³	1	1	yes	characteristic
357	C₃⋊#95	C₂³	1	1	yes	characteristic
358	C₃⋊#95	C₂³	1	1	yes	characteristic
359	C₃⋊#95	C₂³	1	1	yes	characteristic
360	C₃⋊#95	C₂³	1	1	yes	characteristic
361	C₃⋊#95	C₂³	1	1	yes	characteristic
362	C₃⋊#95	C₂³	1	1	yes	characteristic
363	C₃⋊#95	C₂³	1	1	yes	characteristic
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	#544	—	2	8	no	—
406	#541	—	6	8	no	—
407	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
408	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
409	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
410	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
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×#125	—	3	1	no	—
416	C₂×#125	—	3	1	no	—
417	C₂×#125	—	3	1	no	—
418	C₂×#125	—	3	1	no	—
419	C₂×#125	—	3	1	no	—
420	C₂×#125	C₂×D₃	1	1	yes	characteristic
421	C₂×#125	C₂×D₃	1	1	yes	characteristic
422	C₂×#125	C₂×D₃	1	1	yes	characteristic
423	C₂×#125	C₂×D₃	1	1	yes	characteristic
424	C₂×C₂²⋊Q₈	—	3	1	no	—
425	C₂×C₂²⋊Q₈	—	3	1	no	—
426	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
427	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
428	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
429	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
430	C₂×C₄×Q₈	—	3	1	no	—
431	C₂×C₄×Q₈	—	3	1	no	—
432	C₂×#117	—	3	1	no	—
433	C₂×#117	C₂×D₃	1	1	yes	characteristic
434	C₂×#117	C₂×D₃	1	1	yes	characteristic
435	C₂²×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
436	#400	—	3	1	no	—
437	#400	—	3	1	no	—
438	#400	—	3	1	no	—
439	#400	—	3	1	no	—
440	#400	—	3	1	no	—
441	#400	—	3	1	no	—
442	#400	—	3	1	no	—
443	#400	—	3	1	no	—
444	#400	—	3	1	no	—
445	#400	—	3	1	no	—
446	#399	—	3	1	no	—
447	#399	—	3	1	no	—
448	#399	—	3	1	no	—
449	#399	—	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	#398	—	3	1	no	—
463	#398	—	3	1	no	—
464	#398	—	3	1	no	—
465	#398	—	3	1	no	—
466	#398	—	3	1	no	—
467	#398	—	3	1	no	—
468	#397	—	3	1	no	—
469	#397	—	3	1	no	—
470	#397	—	3	1	no	—
471	#397	—	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	#394	—	3	1	no	—
481	#394	—	3	1	no	—
482	#393	—	3	1	no	—
483	#393	—	3	1	no	—
484	#391	—	3	1	no	—
485	#391	—	3	1	no	—
486	#391	—	3	1	no	—
487	#391	—	3	1	no	—
488	#391	—	3	1	no	—
489	#391	—	3	1	no	—
490	#391	—	3	1	no	—
491	#391	—	3	1	no	—
492	#390	—	3	1	no	—
493	#389	—	3	1	no	—
494	#389	—	3	1	no	—
495	#389	—	3	1	no	—
496	#389	—	3	1	no	—
497	#389	—	3	1	no	—
498	#389	—	3	1	no	—
499	#389	—	3	1	no	—
500	#389	—	3	1	no	—
501	#389	—	3	1	no	—
502	#389	—	3	1	no	—
503	#389	—	3	1	no	—
504	#389	—	3	1	no	—
505	#389	—	3	1	no	—
506	#388	—	3	1	no	—
507	#388	—	3	1	no	—
508	#388	—	3	1	no	—
509	#388	—	3	1	no	—
510	#388	—	3	1	no	—
511	#388	—	3	1	no	—
512	#388	—	3	1	no	—
513	#388	—	3	1	no	—
514	#388	—	3	1	no	—
515	#388	—	3	1	no	—
516	#388	—	3	1	no	—
517	#388	—	3	1	no	—
518	#388	—	3	1	no	—
519	#388	—	3	1	no	—
520	#387	—	3	1	no	—
521	#387	—	3	1	no	—
522	#387	—	3	1	no	—
523	#387	—	3	1	no	—
524	#387	—	3	1	no	—
525	#387	—	3	1	no	—
526	#387	—	3	1	no	—
527	#387	—	3	1	no	—
528	#387	—	3	1	no	—
529	#387	—	3	1	no	—
530	#387	—	3	1	no	—
531	#387	—	3	1	no	—
532	#387	—	3	1	no	—
533	#387	—	3	1	no	—
534	#387	—	3	1	no	—
535	#387	—	3	1	no	—
536	#387	—	3	1	no	—
537	#387	—	3	1	no	—
538	#386	—	3	1	no	—
539	#386	—	3	1	no	—
540	#386	—	3	1	no	—
541	#386	—	3	1	no	—
542	#385	—	3	1	no	—
543	#385	—	3	1	no	—
544	#385	—	3	1	no	—
545	#385	—	3	1	no	—
546	#385	—	3	1	no	—
547	#385	—	3	1	no	—
548	#385	—	3	1	no	—
549	#385	—	3	1	no	—
550	#384	—	3	1	no	—
551	#382	—	3	1	no	—
552	#382	—	3	1	no	—
553	#380	—	3	1	no	—
554	#380	—	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	#376	—	3	1	no	—
562	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
563	C₂³×D₃	C₂⁴	1	1	yes	characteristic
564	C₂×C₃×Q₈	—	2	2	no	—
565	C₂×C₃×Q₈	—	2	2	no	—
566	C₂×C₃×Q₈	—	4	1	no	—
567	C₂×C₃×Q₈	—	4	1	no	—
568	C₂×C₃×Q₈	—	4	1	no	—
569	C₂×C₃×Q₈	—	4	1	no	—
570	C₂×C₃×Q₈	—	4	1	no	—
571	C₂×C₃×Q₈	—	4	1	no	—
572	C₂×C₃×Q₈	—	4	1	no	—
573	C₂×C₃×Q₈	—	4	1	no	—
574	C₂×C₃×Q₈	C₂×D₄	1	4	yes	—
575	C₂×C₃×Q₈	C₂×D₄	1	4	yes	—
576	C₂²×C₃×C₄	—	2	2	no	—
577	C₂²×C₃×C₄	—	2	2	no	—
578	C₂²×C₃×C₄	—	2	2	no	—
579	C₂²×C₃×C₄	—	2	2	no	—
580	C₂²×C₃×C₄	—	2	2	no	—
581	C₂²×C₃×C₄	—	4	1	no	—
582	C₂²×C₃×C₄	—	4	1	no	—
583	C₂²×C₃×C₄	—	4	1	no	—
584	C₂²×C₃×C₄	—	4	1	no	—
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×C₃×C₄	C₂⁴	1	1	yes	characteristic
599	C₂×#67	—	2	2	no	—
600	C₂×#67	—	4	1	no	—
601	C₂×#67	—	4	1	no	—
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	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₃	—	2	2	no	—
618	C₂×C₄×D₃	—	4	1	no	—
619	C₂×C₄×D₃	—	4	1	no	—
620	C₃×C₄⋊C₄	—	2	2	no	—
621	C₃×C₄⋊C₄	—	2	2	no	—
622	C₃×C₄⋊C₄	—	2	2	no	—
623	C₃×C₄⋊C₄	—	2	2	no	—
624	C₃×C₄⋊C₄	—	2	2	no	—
625	C₃×C₄⋊C₄	—	2	2	no	—
626	C₃×C₄⋊C₄	—	2	2	no	—
627	C₃×C₄⋊C₄	—	2	2	no	—
628	C₃×C₄⋊C₄	—	2	2	no	—
629	C₃×C₄⋊C₄	—	2	2	no	—
630	C₃×C₄⋊C₄	—	2	2	no	—
631	C₃×C₄⋊C₄	—	2	2	no	—
632	C₃×C₄⋊C₄	—	2	2	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	C₂×D₄	1	4	yes	—
637	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
638	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
639	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
640	C₃×C₂²⋊C₄	—	2	2	no	—
641	C₃×C₂²⋊C₄	—	2	2	no	—
642	C₃×C₂²⋊C₄	—	2	2	no	—
643	C₃×C₂²⋊C₄	—	2	2	no	—
644	C₃×C₄²	—	2	2	no	—
645	C₃×C₄²	—	2	2	no	—
646	C₃×C₄²	—	2	2	no	—
647	C₃×C₄²	C₂×D₄	1	4	yes	—
648	#217	—	2	2	no	—
649	#217	—	2	2	no	—
650	#217	—	2	2	no	—
651	#217	—	2	2	no	—
652	#217	—	4	1	no	—
653	#217	—	4	1	no	—
654	#217	—	4	1	no	—
655	(C₂×D₃)⋊C₄	—	2	2	no	—
656	(C₂×D₃)⋊C₄	—	2	2	no	—
657	(C₂×D₃)⋊C₄	—	2	2	no	—
658	(C₂×D₃)⋊C₄	—	2	2	no	—
659	(C₂×D₃)⋊C₄	—	2	2	no	—
660	(C₂×D₃)⋊C₄	—	2	2	no	—
661	(C₂×D₃)⋊C₄	—	2	2	no	—
662	(C₂×D₃)⋊C₄	—	2	2	no	—
663	(C₂×D₃)⋊C₄	—	4	1	no	—
664	(C₂×D₃)⋊C₄	—	4	1	no	—
665	(C₂×D₃)⋊C₄	—	4	1	no	—
666	(C₂×D₃)⋊C₄	—	4	1	no	—
667	(C₂×D₃)⋊C₄	—	4	1	no	—
668	C₄⋊Dic₃	—	2	2	no	—
669	C₄⋊Dic₃	—	2	2	no	—
670	C₄⋊Dic₃	—	2	2	no	—
671	C₄⋊Dic₃	—	2	2	no	—
672	C₄⋊Dic₃	—	2	2	no	—
673	C₄⋊Dic₃	—	2	2	no	—
674	C₄⋊Dic₃	—	4	1	no	—
675	C₄⋊Dic₃	—	4	1	no	—
676	C₄⋊Dic₃	—	4	1	no	—
677	C₄⋊Dic₃	—	4	1	no	—
678	C₄⋊Dic₃	—	4	1	no	—
679	C₄⋊Dic₃	—	4	1	no	—
680	Dic₃⋊C₄	—	2	2	no	—
681	Dic₃⋊C₄	—	2	2	no	—
682	Dic₃⋊C₄	—	2	2	no	—
683	Dic₃⋊C₄	—	2	2	no	—
684	Dic₃⋊C₄	—	2	2	no	—
685	Dic₃⋊C₄	—	2	2	no	—
686	Dic₃⋊C₄	—	2	2	no	—
687	Dic₃⋊C₄	—	2	2	no	—
688	Dic₃⋊C₄	—	2	2	no	—
689	Dic₃⋊C₄	—	2	2	no	—
690	Dic₃⋊C₄	—	2	2	no	—
691	Dic₃⋊C₄	—	2	2	no	—
692	Dic₃⋊C₄	—	2	2	no	—
693	Dic₃⋊C₄	—	2	2	no	—
694	Dic₃⋊C₄	—	2	2	no	—
695	Dic₃⋊C₄	—	4	1	no	—
696	Dic₃⋊C₄	—	4	1	no	—
697	Dic₃⋊C₄	—	4	1	no	—
698	Dic₃⋊C₄	—	4	1	no	—
699	Dic₃⋊C₄	—	4	1	no	—
700	Dic₃⋊C₄	—	4	1	no	—
701	Dic₃⋊C₄	—	4	1	no	—
702	Dic₃⋊C₄	—	4	1	no	—
703	Dic₃⋊C₄	—	4	1	no	—
704	Dic₃⋊C₄	—	4	1	no	—
705	C₄×Dic₃	—	2	2	no	—
706	C₄×Dic₃	—	2	2	no	—
707	C₄×Dic₃	—	2	2	no	—
708	C₄×Dic₃	—	2	2	no	—
709	C₄×Dic₃	—	2	2	no	—
710	C₄×Dic₃	—	2	2	no	—
711	C₄×Dic₃	—	4	1	no	—
712	C₄×Dic₃	—	4	1	no	—
713	C₄×Dic₃	—	4	1	no	—
714	C₄×Dic₃	—	4	1	no	—
715	C₄×Dic₃	—	4	1	no	—
716	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
717	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
718	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
719	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
720	C₂²×D₄	—	3	1	no	—
721	C₂³×C₄	—	3	1	no	—
722	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
723	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
724	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
725	C₄⋊Q₈	—	2	4	no	—
726	C₄⋊Q₈	—	2	4	no	—
727	C₄⋊Q₈	—	2	4	no	—
728	C₄⋊Q₈	#67	1	8	yes	complemented
729	#126	—	6	4	no	—
730	#126	—	6	4	no	—
731	#126	—	6	4	no	—
732	#126	—	6	4	no	—
733	#125	—	2	4	no	—
734	#125	—	2	4	no	—
735	#125	—	2	4	no	—
736	#125	—	2	4	no	—
737	#125	—	6	4	no	—
738	#125	—	6	4	no	—
739	#125	—	6	4	no	—
740	#125	—	6	4	no	—
741	#125	—	6	4	no	—
742	C₂²⋊Q₈	—	2	4	no	—
743	C₂²⋊Q₈	—	2	4	no	—
744	C₂²⋊Q₈	—	2	4	no	—
745	C₂²⋊Q₈	—	2	4	no	—
746	C₂²⋊Q₈	—	6	4	no	—
747	C₂²⋊Q₈	—	6	4	no	—
748	C₄×Q₈	—	6	4	no	—
749	C₄×Q₈	—	6	4	no	—
750	#117	—	2	4	no	—
751	#117	—	2	4	no	—
752	#117	—	6	4	no	—
753	C₂×C₄⋊C₄	—	2	4	no	—
754	C₂×C₄⋊C₄	—	3	1	no	—
755	C₂×C₄⋊C₄	—	3	1	no	—
756	C₂×C₄⋊C₄	—	3	1	no	—
757	C₂×C₄⋊C₄	—	3	1	no	—
758	C₂×C₄⋊C₄	—	3	1	no	—
759	C₂×C₄⋊C₄	—	3	1	no	—
760	C₂×C₄⋊C₄	—	3	1	no	—
761	C₂×C₄⋊C₄	—	3	1	no	—
762	C₂×C₄⋊C₄	—	3	1	no	—
763	C₂×C₄⋊C₄	—	3	1	no	—
764	C₂×C₄⋊C₄	—	3	1	no	—
765	C₂×C₄⋊C₄	—	3	1	no	—
766	C₂×C₄⋊C₄	—	3	1	no	—
767	C₂×C₄⋊C₄	—	3	1	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	C₂²×D₃	1	1	yes	characteristic
792	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
793	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
795	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
798	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
799	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
800	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
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×C₂²⋊C₄	—	3	1	no	—
812	C₂×C₂²⋊C₄	—	3	1	no	—
813	C₂×C₂²⋊C₄	—	3	1	no	—
814	C₂×C₂²⋊C₄	—	3	1	no	—
815	C₂×C₂²⋊C₄	—	3	1	no	—
816	C₂×C₂²⋊C₄	—	3	1	no	—
817	C₂×C₂²⋊C₄	—	3	1	no	—
818	C₂×C₂²⋊C₄	—	3	1	no	—
819	C₂×C₂²⋊C₄	—	3	1	no	—
820	C₂×C₂²⋊C₄	—	3	1	no	—
821	C₂×C₂²⋊C₄	—	3	1	no	—
822	C₂×C₂²⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
832	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
833	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
835	C₂×C₄²	—	3	1	no	—
836	C₂×C₄²	—	3	1	no	—
837	C₂×C₄²	—	3	1	no	—
838	C₂×C₄²	—	3	1	no	—
839	C₂×C₄²	—	3	1	no	—
840	C₂×C₄²	—	3	1	no	—
841	C₂×C₄²	—	3	1	no	—
842	C₂×C₄²	—	3	1	no	—
843	C₂×C₄²	—	3	1	no	—
844	C₂×C₄²	—	3	1	no	—
845	C₂×C₄²	—	3	1	no	—
846	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
847	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
848	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
849	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
850	#95	—	3	1	no	—
851	#95	—	3	1	no	—
852	#95	—	3	1	no	—
853	#95	—	3	1	no	—
854	#95	—	3	1	no	—
855	#95	—	3	1	no	—
856	#95	—	3	1	no	—
857	#95	—	3	1	no	—
858	#95	—	3	1	no	—
859	#95	—	3	1	no	—
860	#95	—	3	1	no	—
861	#95	—	3	1	no	—
862	#95	—	3	1	no	—
863	#95	—	3	1	no	—
864	#95	—	3	1	no	—
865	#95	—	3	1	no	—
866	#95	—	3	1	no	—
867	#95	—	3	1	no	—
868	#95	—	3	1	no	—
869	#95	—	3	1	no	—
870	#95	—	3	1	no	—
871	#95	—	3	1	no	—
872	#95	—	3	1	no	—
873	#95	—	3	1	no	—
874	#95	—	3	1	no	—
875	#95	—	3	1	no	—
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	C₂³×C₃	—	2	1	no	—
901	C₂³×C₃	—	2	1	no	—
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	2	1	no	—
905	C₂³×C₃	—	2	1	no	—
906	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
907	C₂³×C₃	C₂⁵	1	1	yes	characteristic
908	C₂²×D₃	—	2	1	no	—
909	C₂²×D₃	—	2	1	no	—
910	C₂²×D₃	—	2	1	no	—
911	C₂²×D₃	—	2	1	no	—
912	C₂²×D₃	—	2	1	no	—
913	C₂²×D₃	—	2	1	no	—
914	C₂²×D₃	—	2	1	no	—
915	C₃×Q₈	—	4	4	no	—
916	C₃×Q₈	—	4	4	no	—
917	C₃×Q₈	—	8	2	no	—
918	C₃×Q₈	—	8	2	no	—
919	C₂×C₃×C₄	—	2	8	no	—
920	C₂×C₃×C₄	—	2	1	no	—
921	C₂×C₃×C₄	—	2	1	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	1	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	1	no	—
946	C₂×C₃×C₄	—	2	1	no	—
947	C₂×C₃×C₄	—	2	1	no	—
948	C₂×C₃×C₄	—	2	1	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	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	—	8	2	no	—
955	C₂×C₃×C₄	—	8	2	no	—
956	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
957	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
958	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
959	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
960	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
961	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
962	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
963	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
964	#67	—	8	2	no	—
965	C₂×Dic₃	—	2	1	no	—
966	C₂×Dic₃	—	2	1	no	—
967	C₂×Dic₃	—	2	1	no	—
968	C₂×Dic₃	—	2	1	no	—
969	C₂×Dic₃	—	2	1	no	—
970	C₂×Dic₃	—	2	1	no	—
971	C₂×Dic₃	—	2	1	no	—
972	C₂×Dic₃	—	2	1	no	—
973	C₂×Dic₃	—	2	1	no	—
974	C₂×Dic₃	—	2	1	no	—
975	C₂×Dic₃	—	2	1	no	—
976	C₂×Dic₃	—	2	1	no	—
977	C₂×Dic₃	—	2	1	no	—
978	C₂×Dic₃	—	2	1	no	—
979	C₂×Dic₃	—	2	1	no	—
980	C₂×Dic₃	—	2	1	no	—
981	C₂×Dic₃	—	2	1	no	—
982	C₂×Dic₃	—	2	1	no	—
983	C₂×Dic₃	—	2	1	no	—
984	C₂×Dic₃	—	2	1	no	—
985	C₂×Dic₃	—	2	1	no	—
986	C₂×Dic₃	—	2	1	no	—
987	C₂×Dic₃	—	2	1	no	—
988	C₂×Dic₃	—	2	1	no	—
989	C₂×Dic₃	—	2	1	no	—
990	C₂×Dic₃	—	2	1	no	—
991	C₂×Dic₃	—	2	1	no	—
992	C₂×Dic₃	—	2	1	no	—
993	C₂×Dic₃	—	2	1	no	—
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⁺⁴	1	2	yes	—
1010	C₄×D₃	—	4	4	no	—
1011	C₂⁴	—	3	1	no	—
1012	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1013	C₂×Q₈	—	2	2	no	—
1014	C₂×Q₈	—	2	2	no	—
1015	C₂×Q₈	—	4	1	no	—
1016	C₂×Q₈	—	4	1	no	—
1017	C₂×Q₈	—	4	1	no	—
1018	C₂×Q₈	—	4	1	no	—
1019	C₂×Q₈	—	4	1	no	—
1020	C₂×Q₈	—	4	1	no	—
1021	C₂×Q₈	—	4	1	no	—
1022	C₂×Q₈	—	4	1	no	—
1023	C₂×Q₈	C₂×#67	1	4	yes	—
1024	C₂×Q₈	C₂×#67	1	4	yes	—
1025	C₂×D₄	—	6	2	no	—
1026	C₂×D₄	—	12	1	no	—
1027	C₂×D₄	—	12	1	no	—
1028	C₂²×C₄	—	2	2	no	—
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	3	1	no	—
1034	C₂²×C₄	—	3	1	no	—
1035	C₂²×C₄	—	3	1	no	—
1036	C₂²×C₄	—	3	1	no	—
1037	C₂²×C₄	—	3	1	no	—
1038	C₂²×C₄	—	3	1	no	—
1039	C₂²×C₄	—	3	1	no	—
1040	C₂²×C₄	—	3	1	no	—
1041	C₂²×C₄	—	3	1	no	—
1042	C₂²×C₄	—	3	1	no	—
1043	C₂²×C₄	—	3	1	no	—
1044	C₂²×C₄	—	3	1	no	—
1045	C₂²×C₄	—	3	1	no	—
1046	C₂²×C₄	—	3	1	no	—
1047	C₂²×C₄	—	3	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	6	2	no	—
1053	C₂²×C₄	—	12	1	no	—
1054	C₂²×C₄	—	12	1	no	—
1055	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	6	2	no	—
1086	C₄⋊C₄	—	6	2	no	—
1087	C₄⋊C₄	—	6	2	no	—
1088	C₄⋊C₄	—	6	2	no	—
1089	C₄⋊C₄	—	6	2	no	—
1090	C₄⋊C₄	—	6	2	no	—
1091	C₄⋊C₄	—	6	2	no	—
1092	C₄⋊C₄	—	6	2	no	—
1093	C₄⋊C₄	—	6	2	no	—
1094	C₄⋊C₄	—	6	2	no	—
1095	C₄⋊C₄	—	6	2	no	—
1096	C₄⋊C₄	—	6	2	no	—
1097	C₄⋊C₄	—	6	2	no	—
1098	C₄⋊C₄	—	6	2	no	—
1099	C₄⋊C₄	—	6	2	no	—
1100	C₄⋊C₄	—	6	2	no	—
1101	C₄⋊C₄	—	6	2	no	—
1102	C₄⋊C₄	—	6	2	no	—
1103	C₄⋊C₄	—	6	2	no	—
1104	C₄⋊C₄	—	6	2	no	—
1105	C₄⋊C₄	—	6	2	no	—
1106	C₄⋊C₄	—	12	1	no	—
1107	C₄⋊C₄	—	12	1	no	—
1108	C₄⋊C₄	—	12	1	no	—
1109	C₄⋊C₄	—	12	1	no	—
1110	C₄⋊C₄	—	12	1	no	—
1111	C₄⋊C₄	—	12	1	no	—
1112	C₄⋊C₄	—	12	1	no	—
1113	C₄⋊C₄	—	12	1	no	—
1114	C₄⋊C₄	—	12	1	no	—
1115	C₄⋊C₄	—	12	1	no	—
1116	C₄⋊C₄	—	12	1	no	—
1117	C₄⋊C₄	—	12	1	no	—
1118	C₄⋊C₄	—	12	1	no	—
1119	C₄⋊C₄	—	12	1	no	—
1120	C₄⋊C₄	—	12	1	no	—
1121	C₄⋊C₄	—	12	1	no	—
1122	C₄⋊C₄	C₂×#67	1	4	yes	—
1123	C₄⋊C₄	C₂×#67	1	4	yes	—
1124	C₄⋊C₄	C₂×#67	1	4	yes	—
1125	C₄⋊C₄	C₂×#67	1	4	yes	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	6	2	no	—
1131	C₂²⋊C₄	—	6	2	no	—
1132	C₂²⋊C₄	—	6	2	no	—
1133	C₂²⋊C₄	—	6	2	no	—
1134	C₂²⋊C₄	—	6	2	no	—
1135	C₂²⋊C₄	—	6	2	no	—
1136	C₂²⋊C₄	—	6	2	no	—
1137	C₂²⋊C₄	—	6	2	no	—
1138	C₂²⋊C₄	—	6	2	no	—
1139	C₂²⋊C₄	—	6	2	no	—
1140	C₂²⋊C₄	—	6	2	no	—
1141	C₂²⋊C₄	—	6	2	no	—
1142	C₂²⋊C₄	—	12	1	no	—
1143	C₂²⋊C₄	—	12	1	no	—
1144	C₂²⋊C₄	—	12	1	no	—
1145	C₂²⋊C₄	—	12	1	no	—
1146	C₂²⋊C₄	—	12	1	no	—
1147	C₂²⋊C₄	—	12	1	no	—
1148	C₂²⋊C₄	—	12	1	no	—
1149	C₂²⋊C₄	—	12	1	no	—
1150	C₄²	—	2	2	no	—
1151	C₄²	—	2	2	no	—
1152	C₄²	—	2	2	no	—
1153	C₄²	—	6	2	no	—
1154	C₄²	—	6	2	no	—
1155	C₄²	—	6	2	no	—
1156	C₄²	—	6	2	no	—
1157	C₄²	—	6	2	no	—
1158	C₄²	—	6	2	no	—
1159	C₄²	—	12	1	no	—
1160	C₄²	—	12	1	no	—
1161	C₄²	—	12	1	no	—
1162	C₄²	—	12	1	no	—
1163	C₄²	—	12	1	no	—
1164	C₄²	C₂×#67	1	4	yes	—
1165	C₂²×C₃	—	2	2	no	—
1166	C₂²×C₃	—	2	2	no	—
1167	C₂²×C₃	—	2	2	no	—
1168	C₂²×C₃	—	4	1	no	—
1169	C₂²×C₃	—	4	1	no	—
1170	C₂²×C₃	—	4	1	no	—
1171	C₂²×C₃	—	4	1	no	—
1172	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1173	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1174	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1175	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1176	C₂²×C₃	#585	1	1	yes	characteristic
1177	C₂²×C₃	#585	1	1	yes	characteristic
1178	C₂²×C₃	#585	1	1	yes	characteristic
1179	C₂×D₃	—	4	1	no	—
1180	C₂×D₃	—	4	1	no	—
1181	C₂×D₃	—	4	1	no	—
1182	C₂×D₃	—	4	1	no	—
1183	C₂×D₃	—	4	1	no	—
1184	C₂×D₃	—	4	1	no	—
1185	C₂×D₃	—	4	1	no	—
1186	C₃×C₄	—	2	2	no	—
1187	C₃×C₄	—	2	2	no	—
1188	C₃×C₄	—	2	2	no	—
1189	C₃×C₄	—	2	2	no	—
1190	C₃×C₄	—	2	2	no	—
1191	C₃×C₄	—	2	2	no	—
1192	C₃×C₄	—	2	2	no	—
1193	C₃×C₄	—	2	2	no	—
1194	C₃×C₄	—	4	1	no	—
1195	C₃×C₄	—	4	1	no	—
1196	C₃×C₄	—	4	1	no	—
1197	C₃×C₄	—	4	1	no	—
1198	C₃×C₄	—	4	1	no	—
1199	C₃×C₄	—	4	1	no	—
1200	Dic₃	—	2	2	no	—
1201	Dic₃	—	4	1	no	—
1202	Dic₃	—	4	1	no	—
1203	Dic₃	—	4	1	no	—
1204	Dic₃	—	4	1	no	—
1205	Dic₃	—	4	1	no	—
1206	Dic₃	—	4	1	no	—
1207	Dic₃	—	4	1	no	—
1208	Dic₃	—	4	1	no	—
1209	Dic₃	—	4	1	no	—
1210	Dic₃	—	4	1	no	—
1211	Dic₃	—	4	1	no	—
1212	Dic₃	—	4	1	no	—
1213	Dic₃	—	4	1	no	—
1214	Dic₃	—	4	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	6	1	no	—
1222	C₂³	—	6	1	no	—
1223	C₂³	—	6	1	no	—
1224	C₂³	—	6	1	no	—
1225	C₂³	—	6	1	no	—
1226	C₂³	—	6	1	no	—
1227	C₂³	—	6	1	no	—
1228	C₂³	#1007	1	2	yes	—
1229	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1230	Q₈	—	4	4	no	—
1231	Q₈	—	4	4	no	—
1232	Q₈	—	8	2	no	—
1233	Q₈	—	8	2	no	—
1234	D₄	—	24	2	no	—
1235	C₂×C₄	—	2	8	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	3	2	no	—
1271	C₂×C₄	—	6	1	no	—
1272	C₂×C₄	—	6	1	no	—
1273	C₂×C₄	—	6	1	no	—
1274	C₂×C₄	—	6	1	no	—
1275	C₂×C₄	—	6	1	no	—
1276	C₂×C₄	—	6	1	no	—
1277	C₂×C₄	—	6	1	no	—
1278	C₂×C₄	—	6	1	no	—
1279	C₂×C₄	—	6	1	no	—
1280	C₂×C₄	—	6	1	no	—
1281	C₂×C₄	—	6	1	no	—
1282	C₂×C₄	—	6	1	no	—
1283	C₂×C₄	—	6	1	no	—
1284	C₂×C₄	—	6	1	no	—
1285	C₂×C₄	—	6	1	no	—
1286	C₂×C₄	—	6	1	no	—
1287	C₂×C₄	—	6	1	no	—
1288	C₂×C₄	—	6	1	no	—
1289	C₂×C₄	—	6	1	no	—
1290	C₂×C₄	—	6	1	no	—
1291	C₂×C₄	—	6	1	no	—
1292	C₂×C₄	—	6	1	no	—
1293	C₂×C₄	—	6	1	no	—
1294	C₂×C₄	—	6	1	no	—
1295	C₂×C₄	—	6	1	no	—
1296	C₂×C₄	—	6	1	no	—
1297	C₂×C₄	—	6	1	no	—
1298	C₂×C₄	—	6	1	no	—
1299	C₂×C₄	—	6	1	no	—
1300	C₂×C₄	—	6	1	no	—
1301	C₂×C₄	—	6	1	no	—
1302	C₂×C₄	—	6	1	no	—
1303	C₂×C₄	—	6	1	no	—
1304	C₂×C₄	—	6	1	no	—
1305	C₂×C₄	—	6	1	no	—
1306	C₂×C₄	—	6	1	no	—
1307	C₂×C₄	—	6	1	no	—
1308	C₂×C₄	—	6	1	no	—
1309	C₂×C₄	—	6	1	no	—
1310	C₂×C₄	—	6	1	no	—
1311	C₂×C₄	—	6	1	no	—
1312	C₂×C₄	—	6	1	no	—
1313	C₂×C₄	—	6	1	no	—
1314	C₂×C₄	—	6	1	no	—
1315	C₂×C₄	—	8	2	no	—
1316	C₂×C₄	—	8	2	no	—
1317	C₂×C₄	—	12	4	no	—
1318	C₂×C₄	#1007	1	2	yes	—
1319	C₂×C₄	C₂²×#67	1	2	yes	—
1320	C₂×C₄	C₂²×#67	1	2	yes	—
1321	C₂×C₄	C₂²×#67	1	2	yes	—
1322	C₂×C₄	C₂²×#67	1	2	yes	—
1323	C₂×C₄	C₂²×#67	1	2	yes	—
1324	C₂×C₄	C₂²×#67	1	2	yes	—
1325	C₂×C₄	C₂²×#67	1	2	yes	—
1326	C₂×C₃	—	4	2	no	—
1327	C₂×C₃	#3485	1	1	yes	characteristic
1328	C₂×C₃	#3486	1	1	yes	characteristic
1329	C₂×C₃	#3497	1	1	yes	characteristic
1330	C₂×C₃	#3563	1	1	yes	characteristic
1331	C₂×C₃	#3563	1	1	yes	characteristic
1332	C₂×C₃	#3564	1	1	yes	characteristic
1333	C₂×C₃	#3565	1	1	yes	characteristic
1334	D₃	—	8	1	no	—
1335	C₂²	—	2	2	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	2	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	12	1	no	—
1343	C₂²	—	12	1	no	—
1344	C₂²	—	12	1	no	—
1345	C₂²	—	12	1	no	—
1346	C₂²	—	12	1	no	—
1347	C₂²	—	12	1	no	—
1348	C₂²	—	12	1	no	—
1349	C₂²	C₂×#1007	1	1	yes	characteristic
1350	C₂²	C₂×#1007	1	1	yes	characteristic
1351	C₂²	#5966	1	1	yes	characteristic
1352	C₂²	#5966	1	1	yes	characteristic
1353	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1354	C₂²	#5968	1	1	yes	characteristic
1355	C₂²	C₂³×#67	1	1	yes	characteristic
1356	C₄	—	2	2	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	2	2	no	—
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	2	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	6	2	no	—
1371	C₄	—	12	1	no	—
1372	C₄	—	12	1	no	—
1373	C₄	—	12	1	no	—
1374	C₄	—	12	1	no	—
1375	C₄	—	12	1	no	—
1376	C₄	—	12	1	no	—
1377	C₄	—	12	1	no	—
1378	C₄	—	12	1	no	—
1379	C₄	—	12	1	no	—
1380	C₄	—	12	1	no	—
1381	C₄	—	12	1	no	—
1382	C₄	—	12	1	no	—
1383	C₄	—	12	1	no	—
1384	C₄	—	12	1	no	—
1385	C₃	#47822	1	1	yes	characteristic, complemented, Sylow
1386	C₂	—	4	2	no	—
1387	C₂	—	24	1	no	—
1388	C₂	#86591	1	1	yes	characteristic
1389	C₂	#86592	1	1	yes	characteristic
1390	C₂	#86594	1	1	yes	characteristic
1391	C₂	#86604	1	1	yes	characteristic
1392	C₂	#87251	1	1	yes	characteristic
1393	C₂	#87280	1	1	yes	characteristic
1394	C₂	#87291	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₂×C₃×#544	C₂
prime radical	C₂²×#67	C₂³
hypercenter	C₂×#544	D₃
hypocenter	C₃	#47822
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ C₂×#544

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#544	C₂	semidirect
2. C₂×#5731	C₂	semidirect
3. #83267	C₂	semidirect
4. #83267	C₂	semidirect
5. #83248	C₂	semidirect
6. #83247	C₂	semidirect
7. #83234	C₂	semidirect
8. #83234	C₂	semidirect
9. #83228	C₂	semidirect
10. #83064	C₂	semidirect
11. #83055	C₂	semidirect
12. #83054	C₂	semidirect
13. #83053	C₂	semidirect
14. #83052	C₂	semidirect
15. #83050	C₂	semidirect
16. #83035	C₂	semidirect
17. #83034	C₂	semidirect
20. #82802	C₂	semidirect
23. #82782	C₂	semidirect
24. #82754	C₂	semidirect
25. #82753	C₂	semidirect
27. #82261	C₂	semidirect
29. #82251	C₂	semidirect
31. #82174	C₂	semidirect
190. C₂×#544	D₃	semidirect
233. C₃×C₄⋊Q₈	D₄	semidirect
728. C₄⋊Q₈	#67	semidirect
1385. C₃	#47822	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#544	2
C₂×#5731	2
#83267	2
#83248	2
#83247	2
#83234	2
#83228	2
#83064	2
#83055	2
#83054	2
#83053	2
#83052	2
#83050	2
#83035	2
#83034	2
#82831	2
#82807	2
#82802	2
#82801	2
#82783	2
#82782	2
#82754	2
#82753	2
#82285	2
#82261	2
#82253	2
#82251	2
#82175	2
#82174	2
#47822	3