Subgroups — #11029051

Order 768.

1916 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2748	C₂	1	1	yes	maximal, characteristic, complemented
2	#78109	C₂	1	1	yes	maximal, characteristic, complemented
3	#78106	C₂	1	1	yes	maximal, characteristic, complemented
4	#78075	C₂	1	1	yes	maximal, characteristic, complemented
5	#78034	C₂	1	1	yes	maximal, characteristic, complemented
6	#77964	C₂	1	1	yes	maximal, characteristic, complemented
7	#77950	C₂	1	1	yes	maximal, characteristic, complemented
8	#77864	C₂	1	1	yes	maximal, characteristic, complemented
9	#77795	C₂	1	1	yes	maximal, characteristic, complemented
10	#77322	C₂	1	1	yes	maximal, characteristic, complemented
11	#77310	C₂	1	1	yes	maximal, characteristic, complemented
12	#77303	C₂	1	1	yes	maximal, characteristic, complemented
13	#77303	C₂	1	1	yes	maximal, characteristic, complemented
14	#76345	C₂	1	1	yes	maximal, characteristic, complemented
15	#76330	C₂	1	1	yes	maximal, characteristic
16	#75303	C₂	1	1	yes	maximal, characteristic, complemented
17	#75296	C₂	1	1	yes	maximal, characteristic, complemented
18	#75182	C₂	1	1	yes	maximal, characteristic, complemented
19	#75066	C₂	1	1	yes	maximal, characteristic, complemented
20	#74936	C₂	1	1	yes	maximal, characteristic
21	#74892	C₂	1	1	yes	maximal, characteristic
22	#74833	C₂	1	1	yes	maximal, characteristic, complemented
23	#74768	C₂	1	1	yes	maximal, characteristic, complemented
24	#74640	C₂	1	1	yes	maximal, characteristic, complemented
25	#74597	C₂	1	1	yes	maximal, characteristic, complemented
26	#74593	C₂	1	1	yes	maximal, characteristic, complemented
27	#74473	C₂	1	1	yes	maximal, characteristic, complemented
28	D₃×#380	C₂	1	1	yes	maximal, characteristic, complemented
29	#73985	C₂	1	1	yes	maximal, characteristic, complemented
30	#73979	C₂	1	1	yes	maximal, characteristic, complemented
31	#73862	C₂	1	1	yes	maximal, characteristic, complemented
32	#37854	—	3	1	no	maximal, Sylow
33	C₂³×C₄×D₃	C₂²	1	1	yes	characteristic
34	C₂×#937	C₂²	1	1	yes	characteristic
35	C₂×#929	C₂²	1	1	yes	characteristic
36	C₂×C₄×#67	C₂²	1	1	yes	characteristic
37	C₂×#898	C₂²	1	1	yes	characteristic
38	C₂×#898	C₂²	1	1	yes	characteristic
39	C₂×#896	C₂²	1	1	yes	characteristic
40	C₂×#892	C₂²	1	1	yes	characteristic
41	C₂×#892	C₂²	1	1	yes	characteristic
42	C₂×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×#885	C₂²	1	1	yes	characteristic
45	C₂×#883	C₂²	1	1	yes	characteristic
46	C₂×#883	C₂²	1	1	yes	characteristic
47	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₃×#399	C₂²	1	1	yes	characteristic, complemented
50	C₃×#399	C₂²	1	1	yes	characteristic, complemented
51	C₃×#398	C₂²	1	1	yes	characteristic, complemented
52	C₃×#398	C₂²	1	1	yes	characteristic, complemented
53	C₃×#396	C₂²	1	1	yes	characteristic
54	C₃×#396	C₂²	1	1	yes	characteristic
55	C₃×#390	C₂²	1	1	yes	characteristic
56	C₃×#387	C₂²	1	1	yes	characteristic, complemented
57	C₃×#387	C₂²	1	1	yes	characteristic, complemented
58	C₃×#386	C₂²	1	1	yes	characteristic
59	C₃×#386	C₂²	1	1	yes	characteristic
60	C₃×#385	C₂²	1	1	yes	characteristic, complemented
61	C₃×#385	C₂²	1	1	yes	characteristic, complemented
62	C₃×#380	C₂²	1	1	yes	characteristic
63	C₃×#380	C₂²	1	1	yes	characteristic
64	#5222	C₂²	1	1	yes	characteristic
65	#5222	C₂²	1	1	yes	characteristic
66	#5220	C₂²	1	1	yes	characteristic
67	#5212	C₂²	1	1	yes	characteristic
68	#5212	C₂²	1	1	yes	characteristic
69	#5210	C₂²	1	1	yes	characteristic
70	#5210	C₂²	1	1	yes	characteristic, complemented
71	C₄×#217	C₂²	1	1	yes	characteristic, complemented
72	#4992	C₂²	1	1	yes	characteristic
73	#4992	C₂²	1	1	yes	characteristic
74	#4992	C₂²	1	1	yes	characteristic
75	#4990	C₂²	1	1	yes	characteristic
76	#4990	C₂²	1	1	yes	characteristic
77	#4989	C₂²	1	1	yes	characteristic
78	#4989	C₂²	1	1	yes	characteristic
79	#4989	C₂²	1	1	yes	characteristic
80	#4989	C₂²	1	1	yes	characteristic
81	#4987	C₂²	1	1	yes	characteristic
82	#4987	C₂²	1	1	yes	characteristic
83	#4987	C₂²	1	1	yes	characteristic
84	#4987	C₂²	1	1	yes	characteristic
85	#4987	C₂²	1	1	yes	characteristic
86	#4987	C₂²	1	1	yes	characteristic
87	#4985	C₂²	1	1	yes	characteristic, complemented
88	#4985	C₂²	1	1	yes	characteristic, complemented
89	#4982	C₂²	1	1	yes	characteristic, complemented
90	#4982	C₂²	1	1	yes	characteristic, complemented
91	#4982	C₂²	1	1	yes	characteristic, complemented
92	#4982	C₂²	1	1	yes	characteristic, complemented
93	#4981	C₂²	1	1	yes	characteristic, complemented
94	#4980	C₂²	1	1	yes	characteristic, complemented
95	#4980	C₂²	1	1	yes	characteristic, complemented
96	#4980	C₂²	1	1	yes	characteristic, complemented
97	#4980	C₂²	1	1	yes	characteristic, complemented
98	#4979	C₂²	1	1	yes	characteristic, complemented
99	#4979	C₂²	1	1	yes	characteristic, complemented
100	#4978	C₂²	1	1	yes	characteristic, complemented
101	#4978	C₂²	1	1	yes	characteristic, complemented
102	#4978	C₂²	1	1	yes	characteristic, complemented
103	#4976	C₂²	1	1	yes	characteristic, complemented
104	#4976	C₂²	1	1	yes	characteristic, complemented
105	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
106	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
107	#4973	C₂²	1	1	yes	characteristic, complemented
108	#4972	C₂²	1	1	yes	characteristic, complemented
109	#4961	C₂²	1	1	yes	characteristic
110	#4959	C₂²	1	1	yes	characteristic
111	#4956	C₂²	1	1	yes	characteristic
112	#4956	C₂²	1	1	yes	characteristic
113	#4956	C₂²	1	1	yes	characteristic
114	#4956	C₂²	1	1	yes	characteristic
115	#4956	C₂²	1	1	yes	characteristic
116	#4955	C₂²	1	1	yes	characteristic
117	#4955	C₂²	1	1	yes	characteristic
118	#4955	C₂²	1	1	yes	characteristic
119	#4953	C₂²	1	1	yes	characteristic
120	#4953	C₂²	1	1	yes	characteristic
121	#4953	C₂²	1	1	yes	characteristic, complemented
122	#4952	C₂²	1	1	yes	characteristic, complemented
123	#4952	C₂²	1	1	yes	characteristic, complemented
124	#4951	C₂²	1	1	yes	characteristic, complemented
125	#4951	C₂²	1	1	yes	characteristic, complemented
126	#4951	C₂²	1	1	yes	characteristic, complemented
127	#4951	C₂²	1	1	yes	characteristic, complemented
128	#4950	C₂²	1	1	yes	characteristic
129	#4949	C₂²	1	1	yes	characteristic
130	#4949	C₂²	1	1	yes	characteristic, complemented
131	#4947	C₂²	1	1	yes	characteristic
132	#4945	C₂²	1	1	yes	characteristic
133	#4945	C₂²	1	1	yes	characteristic
134	#4945	C₂²	1	1	yes	characteristic
135	#4945	C₂²	1	1	yes	characteristic, complemented
136	#4944	C₂²	1	1	yes	characteristic
137	#4944	C₂²	1	1	yes	characteristic
138	#4944	C₂²	1	1	yes	characteristic
139	#4944	C₂²	1	1	yes	characteristic, complemented
140	#4942	C₂²	1	1	yes	characteristic
141	#4942	C₂²	1	1	yes	characteristic
142	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
143	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
144	#4940	C₂²	1	1	yes	characteristic
145	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
146	#4933	C₂²	1	1	yes	characteristic, complemented
147	#4932	C₂²	1	1	yes	characteristic, complemented
148	#4675	C₂²	1	1	yes	characteristic
149	#4675	C₂²	1	1	yes	characteristic
150	#4675	C₂²	1	1	yes	characteristic
151	#4669	C₂²	1	1	yes	characteristic
152	#4668	C₂²	1	1	yes	characteristic
153	#4668	C₂²	1	1	yes	characteristic
154	#4668	C₂²	1	1	yes	characteristic
155	#4667	C₂²	1	1	yes	characteristic
156	#4667	C₂²	1	1	yes	characteristic
157	#4667	C₂²	1	1	yes	characteristic
158	#4666	C₂²	1	1	yes	characteristic
159	#4666	C₂²	1	1	yes	characteristic
160	#4666	C₂²	1	1	yes	characteristic
161	#4666	C₂²	1	1	yes	characteristic
162	#4664	C₂²	1	1	yes	characteristic
163	#4664	C₂²	1	1	yes	characteristic
164	#4664	C₂²	1	1	yes	characteristic
165	#4664	C₂²	1	1	yes	characteristic
166	D₃×#95	C₂²	1	1	yes	characteristic
167	D₃×#95	C₂²	1	1	yes	characteristic
168	#4661	C₂²	1	1	yes	characteristic, complemented
169	#4660	C₂²	1	1	yes	characteristic, complemented
170	#4660	C₂²	1	1	yes	characteristic, complemented
171	#4659	C₂²	1	1	yes	characteristic, complemented
172	#4658	C₂²	1	1	yes	characteristic, complemented
173	#4657	C₂²	1	1	yes	characteristic, complemented
174	#4656	C₂²	1	1	yes	characteristic, complemented
175	#4655	C₂²	1	1	yes	characteristic, complemented
176	#4655	C₂²	1	1	yes	characteristic, complemented
177	#4654	C₂²	1	1	yes	characteristic, complemented
178	#4654	C₂²	1	1	yes	characteristic, complemented
179	#4653	C₂²	1	1	yes	characteristic, complemented
180	#4653	C₂²	1	1	yes	characteristic, complemented
181	#4653	C₂²	1	1	yes	characteristic, complemented
182	#4653	C₂²	1	1	yes	characteristic, complemented
183	#4652	C₂²	1	1	yes	characteristic, complemented
184	#4652	C₂²	1	1	yes	characteristic, complemented
185	#4651	C₂²	1	1	yes	characteristic, complemented
186	#4650	C₂²	1	1	yes	characteristic, complemented
187	#4647	C₂²	1	1	yes	characteristic, complemented
188	#2849	—	3	1	no	—
189	#2748	D₃	1	1	yes	characteristic, complemented
190	#2747	—	3	1	no	—
191	#2747	—	3	1	no	—
192	#2742	—	3	1	no	—
193	#2741	—	3	1	no	—
194	#2741	—	3	1	no	—
195	#2722	—	3	1	no	—
196	#2717	—	3	1	no	—
197	#2627	—	3	1	no	—
198	#2623	—	3	1	no	—
199	#2578	—	3	1	no	—
200	#2577	—	3	1	no	—
201	#2574	—	3	1	no	—
202	#2553	—	3	1	no	—
203	#2531	—	3	1	no	—
204	#2530	—	3	1	no	—
205	#2522	—	3	1	no	—
206	#2521	—	3	1	no	—
207	#2498	—	3	1	no	—
208	#2480	—	3	1	no	—
209	#2480	—	3	1	no	—
210	#2472	—	3	1	no	—
211	#2438	—	3	1	no	—
212	#2418	—	3	1	no	—
213	#2359	—	3	1	no	—
214	#2343	—	3	1	no	—
215	#2322	—	3	1	no	—
216	#2313	—	3	1	no	—
217	#2280	—	3	1	no	—
218	C₂×#380	—	3	1	no	—
219	C₂⁴×D₃	C₂³	1	1	yes	characteristic
220	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
223	C₂²×#67	C₂³	1	1	yes	characteristic
224	C₂²×#67	C₂³	1	1	yes	characteristic
225	C₂³×Dic₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₃	—	2	4	no	—
227	C₂²×C₄×D₃	—	2	4	no	—
228	C₂²×C₄×D₃	—	4	2	no	—
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	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
237	C₂²×Dic₆	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×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	1	yes	characteristic
254	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
260	C₂×#217	C₂³	1	1	yes	characteristic
261	C₂×#217	C₂³	1	1	yes	characteristic
262	C₂×#217	C₂³	1	1	yes	characteristic
263	C₂×#217	C₂³	1	1	yes	characteristic
264	C₂×#217	C₂³	1	1	yes	characteristic
265	C₂×#217	C₂³	1	1	yes	characteristic
266	C₂×#217	C₂³	1	1	yes	characteristic
267	C₂×#217	C₂³	1	1	yes	characteristic
268	C₂×#217	C₂³	1	1	yes	characteristic
269	C₂×#217	C₂³	1	1	yes	characteristic
270	C₂×#217	C₂³	1	1	yes	characteristic
271	C₂×#217	C₂³	1	1	yes	characteristic
272	#937	—	4	2	no	—
273	#929	—	4	2	no	—
274	C₄×#67	—	4	2	no	—
275	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊Dic₃	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×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×Dic₃⋊C₄	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×C₄×Dic₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
328	#898	—	4	2	no	—
329	#898	—	4	2	no	—
330	#896	—	4	2	no	—
331	#892	—	2	4	no	—
332	#892	—	4	2	no	—
333	D₃×C₄⋊C₄	—	2	4	no	—
334	D₃×C₄⋊C₄	—	4	2	no	—
335	#885	—	4	2	no	—
336	#883	—	2	4	no	—
337	#883	—	2	4	no	—
338	D₃×C₂²⋊C₄	—	4	2	no	—
339	D₃×C₂²⋊C₄	—	4	2	no	—
340	C₃×#95	C₂³	1	1	yes	characteristic
341	C₃×#95	C₂³	1	1	yes	characteristic
342	C₃×#95	C₂³	1	1	yes	characteristic
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃×#95	C₂³	1	1	yes	characteristic
347	C₃×#95	C₂³	1	1	yes	characteristic
348	C₃×#95	C₂³	1	1	yes	characteristic
349	C₃×#95	C₂³	1	1	yes	characteristic
350	C₃⋊#95	C₂³	1	1	yes	characteristic
351	C₃⋊#95	C₂³	1	1	yes	characteristic
352	C₃⋊#95	C₂³	1	1	yes	characteristic
353	C₃⋊#95	C₂³	1	1	yes	characteristic
354	C₃⋊#95	C₂³	1	1	yes	characteristic
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	C₂⁴×C₄	—	3	1	no	—
393	C₂×#126	—	3	1	no	—
394	C₂×#126	—	3	1	no	—
395	C₂×#124	—	3	1	no	—
396	C₂×#123	—	3	1	no	—
397	C₂×#123	—	3	1	no	—
398	C₂×#123	—	3	1	no	—
399	C₂×C₂²⋊Q₈	—	3	1	no	—
400	C₂×#120	—	3	1	no	—
401	C₂×C₄×D₄	—	3	1	no	—
402	C₂×#117	—	3	1	no	—
403	C₂×#117	—	3	1	no	—
404	C₂²×C₄⋊C₄	—	3	1	no	—
405	C₂²×C₄⋊C₄	—	3	1	no	—
406	C₂²×C₂²⋊C₄	—	3	1	no	—
407	C₂²×C₂²⋊C₄	—	3	1	no	—
408	#400	—	3	1	no	—
409	#400	—	3	1	no	—
410	#400	—	3	1	no	—
411	#400	—	3	1	no	—
412	#400	—	3	1	no	—
413	#400	—	3	1	no	—
414	#399	—	3	1	no	—
415	#399	—	3	1	no	—
416	#399	C₂×D₃	1	1	yes	characteristic, complemented
417	#399	C₂×D₃	1	1	yes	characteristic, complemented
418	#398	—	3	1	no	—
419	#398	—	3	1	no	—
420	#398	—	3	1	no	—
421	#398	—	3	1	no	—
422	#398	—	3	1	no	—
423	#398	—	3	1	no	—
424	#398	—	3	1	no	—
425	#398	C₂×D₃	1	1	yes	characteristic, complemented
426	#398	C₂×D₃	1	1	yes	characteristic, complemented
427	#397	—	3	1	no	—
428	#397	—	3	1	no	—
429	#397	—	3	1	no	—
430	#397	—	3	1	no	—
431	#397	—	3	1	no	—
432	#397	—	3	1	no	—
433	#397	—	3	1	no	—
434	#397	—	3	1	no	—
435	#397	—	3	1	no	—
436	#397	—	3	1	no	—
437	#397	—	3	1	no	—
438	#396	C₂×D₃	1	1	yes	characteristic
439	#396	C₂×D₃	1	1	yes	characteristic
440	#395	—	3	1	no	—
441	#395	—	3	1	no	—
442	#395	—	3	1	no	—
443	#394	—	3	1	no	—
444	#394	—	3	1	no	—
445	#394	—	3	1	no	—
446	#394	—	3	1	no	—
447	#393	—	3	1	no	—
448	#391	—	3	1	no	—
449	#390	C₂×D₃	1	1	yes	characteristic
450	#389	—	3	1	no	—
451	#389	—	3	1	no	—
452	#389	—	3	1	no	—
453	#389	—	3	1	no	—
454	#388	—	3	1	no	—
455	#388	—	3	1	no	—
456	#388	—	3	1	no	—
457	#388	—	3	1	no	—
458	#388	—	3	1	no	—
459	#388	—	3	1	no	—
460	#388	—	3	1	no	—
461	#388	—	3	1	no	—
462	#388	—	3	1	no	—
463	#388	—	3	1	no	—
464	#388	—	3	1	no	—
465	#388	—	3	1	no	—
466	#388	—	3	1	no	—
467	#388	—	3	1	no	—
468	#388	—	3	1	no	—
469	#388	—	3	1	no	—
470	#387	—	3	1	no	—
471	#387	—	3	1	no	—
472	#387	—	3	1	no	—
473	#387	—	3	1	no	—
474	#387	—	3	1	no	—
475	#387	—	3	1	no	—
476	#387	—	3	1	no	—
477	#387	—	3	1	no	—
478	#387	—	3	1	no	—
479	#387	—	3	1	no	—
480	#387	—	3	1	no	—
481	#387	—	3	1	no	—
482	#387	—	3	1	no	—
483	#387	—	3	1	no	—
484	#387	—	3	1	no	—
485	#387	—	3	1	no	—
486	#387	—	3	1	no	—
487	#387	—	3	1	no	—
488	#387	C₂×D₃	1	1	yes	characteristic, complemented
489	#387	C₂×D₃	1	1	yes	characteristic, complemented
490	#386	—	3	1	no	—
491	#386	—	3	1	no	—
492	#386	—	3	1	no	—
493	#386	—	3	1	no	—
494	#386	—	3	1	no	—
495	#386	—	3	1	no	—
496	#386	C₂×D₃	1	1	yes	characteristic
497	#386	C₂×D₃	1	1	yes	characteristic
498	#385	—	3	1	no	—
499	#385	—	3	1	no	—
500	#385	—	3	1	no	—
501	#385	—	3	1	no	—
502	#385	—	3	1	no	—
503	#385	—	3	1	no	—
504	#385	—	3	1	no	—
505	#385	—	3	1	no	—
506	#385	—	3	1	no	—
507	#385	—	3	1	no	—
508	#385	C₂×D₃	1	1	yes	characteristic, complemented
509	#385	C₂×D₃	1	1	yes	characteristic, complemented
510	#383	—	3	1	no	—
511	#382	—	3	1	no	—
512	#381	—	3	1	no	—
513	#381	—	3	1	no	—
514	#381	—	3	1	no	—
515	#381	—	3	1	no	—
516	#380	—	3	1	no	—
517	#380	—	3	1	no	—
518	#380	—	3	1	no	—
519	#380	—	3	1	no	—
520	#380	—	3	1	no	—
521	#380	—	3	1	no	—
522	#380	—	3	1	no	—
523	#380	—	3	1	no	—
524	#380	—	3	1	no	—
525	#380	—	3	1	no	—
526	#380	—	3	1	no	—
527	#380	—	3	1	no	—
528	#380	—	3	1	no	—
529	#380	C₂×D₃	1	1	yes	characteristic
530	#380	C₂×D₃	1	1	yes	characteristic
531	#379	—	3	1	no	—
532	#379	—	3	1	no	—
533	#379	—	3	1	no	—
534	C₄×C₄⋊C₄	—	3	1	no	—
535	C₄×C₄⋊C₄	—	3	1	no	—
536	C₄×C₂²⋊C₄	—	3	1	no	—
537	C₄×C₂²⋊C₄	—	3	1	no	—
538	C₄×C₂²⋊C₄	—	3	1	no	—
539	C₄×C₂²⋊C₄	—	3	1	no	—
540	C₄×C₂²⋊C₄	—	3	1	no	—
541	C₄×C₂²⋊C₄	—	3	1	no	—
542	C₄×C₂²⋊C₄	—	3	1	no	—
543	C₄×C₂²⋊C₄	—	3	1	no	—
544	#376	—	3	1	no	—
545	C₂×#95	—	3	1	no	—
546	C₂×#95	—	3	1	no	—
547	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
548	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
549	C₂³×D₃	—	2	2	no	—
550	C₂³×D₃	—	2	2	no	—
551	C₂³×D₃	—	2	2	no	—
552	C₂³×D₃	—	2	2	no	—
553	C₂³×D₃	—	2	2	no	—
554	C₂³×D₃	—	4	1	no	—
555	C₂³×D₃	—	4	1	no	—
556	C₂³×D₃	C₂⁴	1	1	yes	characteristic
557	C₂³×D₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₃×D₄	—	2	2	no	—
559	C₂×C₃×D₄	—	4	1	no	—
560	C₂×C₃×D₄	—	4	1	no	—
561	C₂²×C₃×C₄	—	2	2	no	—
562	C₂²×C₃×C₄	—	2	2	no	—
563	C₂²×C₃×C₄	—	4	1	no	—
564	C₂²×C₃×C₄	—	4	1	no	—
565	C₂²×C₃×C₄	—	4	1	no	—
566	C₂²×C₃×C₄	—	4	1	no	—
567	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
569	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
572	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
577	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
578	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
579	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
580	C₂×#67	—	2	2	no	—
581	C₂×#67	—	2	2	no	—
582	C₂×#67	—	2	2	no	—
583	C₂×#67	—	2	2	no	—
584	C₂×#67	—	4	1	no	—
585	C₂×#67	—	4	1	no	—
586	C₂²×Dic₃	—	2	2	no	—
587	C₂²×Dic₃	—	2	2	no	—
588	C₂²×Dic₃	—	4	1	no	—
589	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
592	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
595	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
596	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
597	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
598	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
599	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
600	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
601	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
602	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₃	—	2	2	no	—
604	C₂×C₄×D₃	—	2	2	no	—
605	C₂×C₄×D₃	—	2	2	no	—
606	C₂×C₄×D₃	—	2	2	no	—
607	C₂×C₄×D₃	—	2	2	no	—
608	C₂×C₄×D₃	—	2	2	no	—
609	C₂×C₄×D₃	—	2	2	no	—
610	C₂×C₄×D₃	—	2	2	no	—
611	C₂×C₄×D₃	—	2	2	no	—
612	C₂×C₄×D₃	—	2	2	no	—
613	C₂×C₄×D₃	—	2	2	no	—
614	C₂×C₄×D₃	—	2	2	no	—
615	C₂×C₄×D₃	—	4	16	no	—
616	C₂×C₄×D₃	—	4	1	no	—
617	C₂×C₄×D₃	—	4	1	no	—
618	C₂×C₄×D₃	—	4	1	no	—
619	C₂×C₄×D₃	—	4	1	no	—
620	C₂×C₄×D₃	—	4	1	no	—
621	C₂×C₄×D₃	—	4	1	no	—
622	C₂×C₄×D₃	—	4	1	no	—
623	C₂×C₄×D₃	—	4	1	no	—
624	C₂×C₄×D₃	—	4	1	no	—
625	C₂×C₄×D₃	—	4	1	no	—
626	C₂×C₄×D₃	#41	1	4	yes	—
627	C₂×C₄×D₃	#41	1	4	yes	—
628	C₂×Dic₆	—	4	1	no	—
629	C₂×Dic₆	—	4	1	no	—
630	C₂×Dic₆	—	4	1	no	—
631	C₃×C₄⋊C₄	—	2	2	no	—
632	C₃×C₄⋊C₄	—	2	2	no	—
633	C₃×C₄⋊C₄	—	4	1	no	—
634	C₃×C₄⋊C₄	—	4	1	no	—
635	C₃×C₄⋊C₄	—	4	1	no	—
636	C₃×C₄⋊C₄	—	4	1	no	—
637	C₃×C₄⋊C₄	—	4	1	no	—
638	C₃×C₄⋊C₄	—	4	1	no	—
639	C₃×C₄⋊C₄	—	4	1	no	—
640	C₃×C₄⋊C₄	—	4	1	no	—
641	C₃×C₄⋊C₄	—	4	1	no	—
642	C₃×C₂²⋊C₄	—	2	2	no	—
643	C₃×C₂²⋊C₄	—	2	2	no	—
644	C₃×C₂²⋊C₄	—	4	1	no	—
645	C₃×C₂²⋊C₄	—	4	1	no	—
646	C₃×C₂²⋊C₄	—	4	1	no	—
647	C₃×C₂²⋊C₄	—	4	1	no	—
648	C₃×C₂²⋊C₄	—	4	1	no	—
649	C₃×C₂²⋊C₄	—	4	1	no	—
650	C₃×C₂²⋊C₄	—	4	1	no	—
651	C₃×C₂²⋊C₄	—	4	1	no	—
652	C₃×C₄²	—	4	1	no	—
653	#217	—	2	2	no	—
654	#217	—	2	2	no	—
655	#217	—	2	2	no	—
656	#217	—	2	2	no	—
657	#217	—	2	2	no	—
658	#217	—	4	1	no	—
659	#217	—	4	1	no	—
660	#217	—	4	1	no	—
661	#217	—	4	1	no	—
662	#217	—	4	1	no	—
663	#217	—	4	1	no	—
664	#217	—	4	1	no	—
665	(C₂×D₃)⋊C₄	—	2	2	no	—
666	(C₂×D₃)⋊C₄	—	2	2	no	—
667	(C₂×D₃)⋊C₄	—	2	2	no	—
668	(C₂×D₃)⋊C₄	—	2	2	no	—
669	(C₂×D₃)⋊C₄	—	2	2	no	—
670	(C₂×D₃)⋊C₄	—	2	2	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	—	4	1	no	—
680	(C₂×D₃)⋊C₄	—	4	1	no	—
681	(C₂×D₃)⋊C₄	—	4	1	no	—
682	(C₂×D₃)⋊C₄	—	4	1	no	—
683	C₄⋊Dic₃	—	2	2	no	—
684	C₄⋊Dic₃	—	2	2	no	—
685	C₄⋊Dic₃	—	2	2	no	—
686	C₄⋊Dic₃	—	2	2	no	—
687	C₄⋊Dic₃	—	4	1	no	—
688	C₄⋊Dic₃	—	4	1	no	—
689	C₄⋊Dic₃	—	4	1	no	—
690	C₄⋊Dic₃	—	4	1	no	—
691	C₄⋊Dic₃	—	4	1	no	—
692	Dic₃⋊C₄	—	2	2	no	—
693	Dic₃⋊C₄	—	2	2	no	—
694	Dic₃⋊C₄	—	2	2	no	—
695	Dic₃⋊C₄	—	2	2	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	Dic₃⋊C₄	—	4	1	no	—
706	Dic₃⋊C₄	—	4	1	no	—
707	Dic₃⋊C₄	—	4	1	no	—
708	C₄×Dic₃	—	2	2	no	—
709	C₄×Dic₃	—	2	2	no	—
710	C₄×Dic₃	—	4	1	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	C₄×Dic₃	—	4	1	no	—
717	C₄×Dic₃	—	4	1	no	—
718	C₂⁵	—	3	1	no	—
719	C₂²×Q₈	—	3	1	no	—
720	C₂²×D₄	—	3	1	no	—
721	C₂²×D₄	—	3	1	no	—
722	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
723	C₂³×C₄	—	3	1	no	—
724	C₂³×C₄	—	3	1	no	—
725	C₂³×C₄	—	3	1	no	—
726	C₂³×C₄	—	3	1	no	—
727	C₂³×C₄	—	3	1	no	—
728	C₂³×C₄	—	3	1	no	—
729	C₂³×C₄	—	3	1	no	—
730	C₂³×C₄	—	3	1	no	—
731	C₂³×C₄	—	3	1	no	—
732	C₂³×C₄	—	6	4	no	—
733	C₂³×C₄	—	6	4	no	—
734	C₂³×C₄	—	12	2	no	—
735	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
736	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
737	#126	—	12	2	no	—
738	#126	—	12	2	no	—
739	#124	—	12	2	no	—
740	#123	—	6	4	no	—
741	#123	—	6	4	no	—
742	#123	—	12	2	no	—
743	C₂²⋊Q₈	—	12	2	no	—
744	#120	—	12	2	no	—
745	C₄×D₄	—	12	2	no	—
746	#117	—	6	4	no	—
747	#117	—	12	2	no	—
748	C₂×C₄⋊C₄	—	3	1	no	—
749	C₂×C₄⋊C₄	—	3	1	no	—
750	C₂×C₄⋊C₄	—	3	1	no	—
751	C₂×C₄⋊C₄	—	3	1	no	—
752	C₂×C₄⋊C₄	—	3	1	no	—
753	C₂×C₄⋊C₄	—	3	1	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	—	6	4	no	—
774	C₂×C₄⋊C₄	—	12	2	no	—
775	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	—	3	1	no	—
787	C₂×C₂²⋊C₄	—	3	1	no	—
788	C₂×C₂²⋊C₄	—	3	1	no	—
789	C₂×C₂²⋊C₄	—	3	1	no	—
790	C₂×C₂²⋊C₄	—	3	1	no	—
791	C₂×C₂²⋊C₄	—	3	1	no	—
792	C₂×C₂²⋊C₄	—	3	1	no	—
793	C₂×C₂²⋊C₄	—	3	1	no	—
794	C₂×C₂²⋊C₄	—	3	1	no	—
795	C₂×C₂²⋊C₄	—	3	1	no	—
796	C₂×C₂²⋊C₄	—	3	1	no	—
797	C₂×C₂²⋊C₄	—	3	1	no	—
798	C₂×C₂²⋊C₄	—	3	1	no	—
799	C₂×C₂²⋊C₄	—	3	1	no	—
800	C₂×C₂²⋊C₄	—	3	1	no	—
801	C₂×C₂²⋊C₄	—	3	1	no	—
802	C₂×C₂²⋊C₄	—	3	1	no	—
803	C₂×C₂²⋊C₄	—	3	1	no	—
804	C₂×C₂²⋊C₄	—	3	1	no	—
805	C₂×C₂²⋊C₄	—	3	1	no	—
806	C₂×C₂²⋊C₄	—	3	1	no	—
807	C₂×C₂²⋊C₄	—	3	1	no	—
808	C₂×C₂²⋊C₄	—	3	1	no	—
809	C₂×C₂²⋊C₄	—	3	1	no	—
810	C₂×C₂²⋊C₄	—	3	1	no	—
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	—	12	2	no	—
817	C₂×C₂²⋊C₄	—	12	2	no	—
818	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
828	C₂×C₄²	—	3	1	no	—
829	C₂×C₄²	—	3	1	no	—
830	C₂×C₄²	—	3	1	no	—
831	C₂×C₄²	—	3	1	no	—
832	C₂×C₄²	—	3	1	no	—
833	C₂×C₄²	—	3	1	no	—
834	C₂×C₄²	—	3	1	no	—
835	C₂×C₄²	—	3	1	no	—
836	C₂×C₄²	—	3	1	no	—
837	C₂×C₄²	—	3	1	no	—
838	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
839	#95	—	3	1	no	—
840	#95	—	3	1	no	—
841	#95	—	3	1	no	—
842	#95	—	3	1	no	—
843	#95	—	3	1	no	—
844	#95	—	3	1	no	—
845	#95	—	3	1	no	—
846	#95	—	3	1	no	—
847	#95	—	3	1	no	—
848	#95	—	3	1	no	—
849	#95	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
882	#95	C₂²×D₃	1	1	yes	characteristic
883	#95	C₂²×D₃	1	1	yes	characteristic
884	#95	C₂²×D₃	1	1	yes	characteristic
885	#95	C₂²×D₃	1	1	yes	characteristic
886	#95	C₂²×D₃	1	1	yes	characteristic
887	#95	C₂²×D₃	1	1	yes	characteristic
888	#95	C₂²×D₃	1	1	yes	characteristic
889	#95	C₂²×D₃	1	1	yes	characteristic
890	#95	C₂²×D₃	1	1	yes	characteristic
891	C₂³×C₃	—	2	1	no	—
892	C₂³×C₃	—	2	1	no	—
893	C₂³×C₃	—	2	1	no	—
894	C₂³×C₃	—	2	1	no	—
895	C₂³×C₃	—	2	1	no	—
896	C₂³×C₃	—	2	1	no	—
897	C₂³×C₃	—	2	1	no	—
898	C₂³×C₃	—	2	1	no	—
899	C₂³×C₃	—	2	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⁺⁴	1	2	yes	—
905	C₂³×C₃	C₂⁵	1	1	yes	characteristic
906	C₂²×D₃	—	2	1	no	—
907	C₂²×D₃	—	2	1	no	—
908	C₂²×D₃	—	2	1	no	—
909	C₂²×D₃	—	2	1	no	—
910	C₂²×D₃	—	2	8	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	C₂²×D₃	—	2	1	no	—
916	C₂²×D₃	—	2	1	no	—
917	C₂²×D₃	—	4	4	no	—
918	C₂²×D₃	—	4	4	no	—
919	C₂²×D₃	—	4	4	no	—
920	C₂²×D₃	—	4	4	no	—
921	C₂²×D₃	—	4	4	no	—
922	C₂²×D₃	—	4	4	no	—
923	C₂²×D₃	C₂×#41	1	2	yes	—
924	C₂²×D₃	C₂×#41	1	2	yes	—
925	C₂²×D₃	H(5,𝔽₂)	1	2	yes	—
926	C₂²×D₃	H(5,𝔽₂)	1	2	yes	—
927	C₃×D₄	—	8	2	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	—	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	—	4	4	no	—
966	C₂×C₃×C₄	—	8	2	no	—
967	C₂×C₃×C₄	C₂×#41	1	2	yes	—
968	C₂×C₃×C₄	C₂×#41	1	2	yes	—
969	#67	—	4	4	no	—
970	#67	—	8	2	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	no	—
1010	C₂×Dic₃	—	2	1	no	—
1011	C₂×Dic₃	—	4	4	no	—
1012	C₂×Dic₃	C₂×#41	1	2	yes	—
1013	C₂×Dic₃	C₂×#41	1	2	yes	—
1014	C₄×D₃	—	2	8	no	—
1015	C₄×D₃	—	2	8	no	—
1016	C₄×D₃	—	4	4	no	—
1017	C₄×D₃	—	4	4	no	—
1018	C₄×D₃	—	8	2	no	—
1019	C₄×D₃	—	8	2	no	—
1020	C₄×D₃	—	8	2	no	—
1021	C₄×D₃	—	8	2	no	—
1022	Dic₆	—	8	2	no	—
1023	C₂⁴	—	3	1	no	—
1024	C₂⁴	—	3	1	no	—
1025	C₂⁴	—	6	2	no	—
1026	C₂⁴	—	6	2	no	—
1027	C₂⁴	—	6	2	no	—
1028	C₂⁴	—	6	2	no	—
1029	C₂⁴	—	6	2	no	—
1030	C₂⁴	—	12	1	no	—
1031	C₂⁴	—	12	1	no	—
1032	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1034	C₂×Q₈	—	12	1	no	—
1035	C₂×Q₈	—	12	1	no	—
1036	C₂×Q₈	—	12	1	no	—
1037	C₂×D₄	—	2	2	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	—	4	1	no	—
1040	C₂×D₄	—	6	2	no	—
1041	C₂×D₄	—	6	2	no	—
1042	C₂×D₄	—	6	2	no	—
1043	C₂×D₄	—	6	2	no	—
1044	C₂×D₄	—	12	1	no	—
1045	C₂×D₄	—	12	1	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	3	1	no	—
1049	C₂²×C₄	—	3	1	no	—
1050	C₂²×C₄	—	3	4	no	—
1051	C₂²×C₄	—	3	4	no	—
1052	C₂²×C₄	—	3	1	no	—
1053	C₂²×C₄	—	3	1	no	—
1054	C₂²×C₄	—	3	1	no	—
1055	C₂²×C₄	—	3	1	no	—
1056	C₂²×C₄	—	3	1	no	—
1057	C₂²×C₄	—	3	1	no	—
1058	C₂²×C₄	—	3	1	no	—
1059	C₂²×C₄	—	3	1	no	—
1060	C₂²×C₄	—	3	1	no	—
1061	C₂²×C₄	—	3	1	no	—
1062	C₂²×C₄	—	3	1	no	—
1063	C₂²×C₄	—	3	1	no	—
1064	C₂²×C₄	—	4	1	no	—
1065	C₂²×C₄	—	4	1	no	—
1066	C₂²×C₄	—	4	1	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	6	2	no	—
1069	C₂²×C₄	—	6	2	no	—
1070	C₂²×C₄	—	6	2	no	—
1071	C₂²×C₄	—	6	2	no	—
1072	C₂²×C₄	—	6	2	no	—
1073	C₂²×C₄	—	6	2	no	—
1074	C₂²×C₄	—	6	2	no	—
1075	C₂²×C₄	—	6	2	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	—	12	1	no	—
1083	C₂²×C₄	—	12	1	no	—
1084	C₂²×C₄	—	12	1	no	—
1085	C₂²×C₄	—	12	1	no	—
1086	C₂²×C₄	—	12	1	no	—
1087	C₂²×C₄	—	12	1	no	—
1088	C₂²×C₄	—	12	1	no	—
1089	C₂²×C₄	—	12	1	no	—
1090	C₂²×C₄	—	12	1	no	—
1091	C₂²×C₄	—	12	1	no	—
1092	C₂²×C₄	—	12	16	no	—
1093	C₂²×C₄	—	12	1	no	—
1094	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1108	C₄⋊C₄	—	2	2	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	6	2	no	—
1119	C₄⋊C₄	—	6	2	no	—
1120	C₄⋊C₄	—	6	2	no	—
1121	C₄⋊C₄	—	6	2	no	—
1122	C₄⋊C₄	—	6	2	no	—
1123	C₄⋊C₄	—	6	2	no	—
1124	C₄⋊C₄	—	6	2	no	—
1125	C₄⋊C₄	—	6	2	no	—
1126	C₄⋊C₄	—	12	1	no	—
1127	C₄⋊C₄	—	12	1	no	—
1128	C₄⋊C₄	—	12	1	no	—
1129	C₄⋊C₄	—	12	1	no	—
1130	C₄⋊C₄	—	12	1	no	—
1131	C₄⋊C₄	—	12	1	no	—
1132	C₄⋊C₄	—	12	1	no	—
1133	C₄⋊C₄	—	12	1	no	—
1134	C₄⋊C₄	—	12	1	no	—
1135	C₄⋊C₄	—	12	1	no	—
1136	C₄⋊C₄	—	12	1	no	—
1137	C₄⋊C₄	—	12	1	no	—
1138	C₄⋊C₄	—	12	1	no	—
1139	C₄⋊C₄	—	12	1	no	—
1140	C₄⋊C₄	—	12	1	no	—
1141	C₄⋊C₄	—	12	1	no	—
1142	C₄⋊C₄	—	12	1	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	2	no	—
1145	C₂²⋊C₄	—	4	1	no	—
1146	C₂²⋊C₄	—	4	1	no	—
1147	C₂²⋊C₄	—	4	1	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	6	2	no	—
1154	C₂²⋊C₄	—	6	2	no	—
1155	C₂²⋊C₄	—	6	2	no	—
1156	C₂²⋊C₄	—	6	2	no	—
1157	C₂²⋊C₄	—	6	2	no	—
1158	C₂²⋊C₄	—	6	2	no	—
1159	C₂²⋊C₄	—	6	2	no	—
1160	C₂²⋊C₄	—	6	2	no	—
1161	C₂²⋊C₄	—	6	2	no	—
1162	C₂²⋊C₄	—	6	2	no	—
1163	C₂²⋊C₄	—	6	2	no	—
1164	C₂²⋊C₄	—	6	2	no	—
1165	C₂²⋊C₄	—	6	2	no	—
1166	C₂²⋊C₄	—	6	2	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	—	12	1	no	—
1173	C₂²⋊C₄	—	12	1	no	—
1174	C₂²⋊C₄	—	12	1	no	—
1175	C₂²⋊C₄	—	12	1	no	—
1176	C₂²⋊C₄	—	12	1	no	—
1177	C₂²⋊C₄	—	12	1	no	—
1178	C₂²⋊C₄	—	12	1	no	—
1179	C₂²⋊C₄	—	12	1	no	—
1180	C₂²⋊C₄	—	12	1	no	—
1181	C₂²⋊C₄	—	12	1	no	—
1182	C₂²⋊C₄	—	12	1	no	—
1183	C₄²	—	4	1	no	—
1184	C₄²	—	6	2	no	—
1185	C₄²	—	6	2	no	—
1186	C₄²	—	12	1	no	—
1187	C₄²	—	12	1	no	—
1188	C₄²	—	12	1	no	—
1189	C₄²	—	12	1	no	—
1190	C₄²	—	12	1	no	—
1191	C₄²	—	12	1	no	—
1192	C₄²	—	12	1	no	—
1193	C₄²	—	12	1	no	—
1194	C₂²×C₃	—	2	2	no	—
1195	C₂²×C₃	—	2	2	no	—
1196	C₂²×C₃	—	2	2	no	—
1197	C₂²×C₃	—	4	1	no	—
1198	C₂²×C₃	—	4	1	no	—
1199	C₂²×C₃	—	4	1	no	—
1200	C₂²×C₃	—	4	1	no	—
1201	C₂²×C₃	—	4	1	no	—
1202	C₂²×C₃	—	4	1	no	—
1203	C₂²×C₃	—	4	1	no	—
1204	C₂²×C₃	—	4	1	no	—
1205	C₂²×C₃	—	4	1	no	—
1206	C₂²×C₃	—	4	1	no	—
1207	C₂²×C₃	—	4	1	no	—
1208	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1209	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1210	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1211	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1212	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1213	C₂²×C₃	#585	1	1	yes	characteristic
1214	C₂²×C₃	#585	1	1	yes	characteristic
1215	C₂×D₃	—	2	2	no	—
1216	C₂×D₃	—	2	2	no	—
1217	C₂×D₃	—	2	2	no	—
1218	C₂×D₃	—	2	2	no	—
1219	C₂×D₃	—	2	2	no	—
1220	C₂×D₃	—	2	2	no	—
1221	C₂×D₃	—	2	2	no	—
1222	C₂×D₃	—	2	2	no	—
1223	C₂×D₃	—	2	2	no	—
1224	C₂×D₃	—	4	16	no	—
1225	C₂×D₃	—	4	1	no	—
1226	C₂×D₃	—	4	1	no	—
1227	C₂×D₃	—	4	1	no	—
1228	C₂×D₃	—	4	1	no	—
1229	C₂×D₃	#551	1	4	yes	—
1230	C₃×C₄	—	2	2	no	—
1231	C₃×C₄	—	2	2	no	—
1232	C₃×C₄	—	4	1	no	—
1233	C₃×C₄	—	4	1	no	—
1234	C₃×C₄	—	4	1	no	—
1235	C₃×C₄	—	4	1	no	—
1236	C₃×C₄	—	4	1	no	—
1237	C₃×C₄	—	4	1	no	—
1238	C₃×C₄	—	4	1	no	—
1239	C₃×C₄	—	4	1	no	—
1240	C₃×C₄	—	4	1	no	—
1241	C₃×C₄	—	4	1	no	—
1242	C₃×C₄	—	4	1	no	—
1243	Dic₃	—	2	2	no	—
1244	Dic₃	—	2	2	no	—
1245	Dic₃	—	4	1	no	—
1246	Dic₃	—	4	1	no	—
1247	Dic₃	—	4	1	no	—
1248	Dic₃	—	4	1	no	—
1249	Dic₃	—	4	1	no	—
1250	Dic₃	—	4	1	no	—
1251	Dic₃	—	4	1	no	—
1252	Dic₃	—	4	1	no	—
1253	Dic₃	—	4	1	no	—
1254	Dic₃	—	4	1	no	—
1255	Dic₃	—	4	1	no	—
1256	Dic₃	—	4	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	3	2	no	—
1271	C₂³	—	3	2	no	—
1272	C₂³	—	3	2	no	—
1273	C₂³	—	3	2	no	—
1274	C₂³	—	6	8	no	—
1275	C₂³	—	6	1	no	—
1276	C₂³	—	6	1	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	—	12	4	no	—
1286	C₂³	—	12	4	no	—
1287	C₂³	—	12	4	no	—
1288	C₂³	—	12	4	no	—
1289	C₂³	—	12	4	no	—
1290	C₂³	—	12	4	no	—
1291	C₂³	#1007	1	2	yes	—
1292	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1293	Q₈	—	24	2	no	—
1294	D₄	—	8	2	no	—
1295	D₄	—	12	4	no	—
1296	D₄	—	24	2	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	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	—	3	2	no	—
1336	C₂×C₄	—	4	4	no	—
1337	C₂×C₄	—	6	8	no	—
1338	C₂×C₄	—	6	8	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	—	6	1	no	—
1378	C₂×C₄	—	6	1	no	—
1379	C₂×C₄	—	8	2	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	—	24	2	no	—
1385	C₂×C₄	—	24	2	no	—
1386	C₂×C₄	—	24	2	no	—
1387	C₂×C₄	D₃×#41	1	2	yes	—
1388	C₂×C₄	D₃×#41	1	2	yes	—
1389	C₂×C₃	—	4	2	no	—
1390	C₂×C₃	—	8	1	no	—
1391	C₂×C₃	#3455	1	1	yes	characteristic
1392	C₂×C₃	C₂×#551	1	1	yes	characteristic
1393	C₂×C₃	#3492	1	1	yes	characteristic
1394	C₂×C₃	#3494	1	1	yes	characteristic
1395	C₂×C₃	#3495	1	1	yes	characteristic
1396	C₂×C₃	#3534	1	1	yes	characteristic
1397	C₂×C₃	#3535	1	1	yes	characteristic
1398	D₃	—	2	4	no	—
1399	D₃	—	4	2	no	—
1400	C₂²	—	2	2	no	—
1401	C₂²	—	2	2	no	—
1402	C₂²	—	2	2	no	—
1403	C₂²	—	3	4	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	1	no	—
1412	C₂²	—	4	1	no	—
1413	C₂²	—	4	1	no	—
1414	C₂²	—	4	1	no	—
1415	C₂²	—	6	2	no	—
1416	C₂²	—	6	2	no	—
1417	C₂²	—	6	2	no	—
1418	C₂²	—	6	2	no	—
1419	C₂²	—	6	2	no	—
1420	C₂²	—	6	2	no	—
1421	C₂²	—	6	2	no	—
1422	C₂²	—	6	2	no	—
1423	C₂²	—	6	2	no	—
1424	C₂²	—	12	16	no	—
1425	C₂²	—	12	1	no	—
1426	C₂²	—	12	1	no	—
1427	C₂²	—	12	1	no	—
1428	C₂²	—	12	1	no	—
1429	C₂²	C₂×#1007	1	1	yes	characteristic
1430	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1431	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1432	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1433	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1434	C₂²	#5966	1	1	yes	characteristic
1435	C₂²	#5966	1	1	yes	characteristic
1436	C₄	—	2	2	no	—
1437	C₄	—	2	2	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	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	6	2	no	—
1450	C₄	—	6	2	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	C₄	—	12	1	no	—
1459	C₄	—	12	1	no	—
1460	C₄	—	12	1	no	—
1461	C₄	—	12	1	no	—
1462	C₄	—	12	1	no	—
1463	C₃	#37854	1	1	yes	characteristic, complemented, Sylow
1464	C₂	—	4	2	no	—
1465	C₂	—	6	4	no	—
1466	C₂	—	8	1	no	—
1467	C₂	—	12	2	no	—
1468	C₂	#86467	1	1	yes	characteristic
1469	C₂	#86485	1	1	yes	characteristic
1470	C₂	#86580	1	1	yes	characteristic
1471	C₂	D₃×#551	1	1	yes	characteristic
1472	C₂	#86925	1	1	yes	characteristic
1473	C₂	#86947	1	1	yes	characteristic
1474	C₂	#87082	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2748	C₂
prime radical	C₂×#937	C₂²
hypercenter	#2748	D₃
hypocenter	C₃	#37854
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2748

Complements

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

N	H ≅ G/N	type
1. C₃×#2748	C₂	semidirect
2. #78109	C₂	semidirect
3. #78106	C₂	semidirect
4. #78075	C₂	semidirect
5. #78034	C₂	semidirect
6. #77964	C₂	semidirect
7. #77950	C₂	semidirect
8. #77864	C₂	semidirect
9. #77795	C₂	semidirect
10. #77322	C₂	semidirect
11. #77310	C₂	semidirect
12. #77303	C₂	semidirect
13. #77303	C₂	semidirect
14. #76345	C₂	semidirect
16. #75303	C₂	semidirect
17. #75296	C₂	semidirect
18. #75182	C₂	semidirect
19. #75066	C₂	semidirect
22. #74833	C₂	semidirect
23. #74768	C₂	semidirect
24. #74640	C₂	semidirect
25. #74597	C₂	semidirect
26. #74593	C₂	semidirect
27. #74473	C₂	semidirect
28. D₃×#380	C₂	semidirect
29. #73985	C₂	semidirect
30. #73979	C₂	semidirect
31. #73862	C₂	semidirect
49. C₃×#399	C₂²	semidirect
50. C₃×#399	C₂²	semidirect
51. C₃×#398	C₂²	semidirect
52. C₃×#398	C₂²	semidirect
56. C₃×#387	C₂²	semidirect
57. C₃×#387	C₂²	semidirect
60. C₃×#385	C₂²	semidirect
61. C₃×#385	C₂²	semidirect
70. #5210	C₂²	semidirect
71. C₄×#217	C₂²	semidirect
87. #4985	C₂²	semidirect
88. #4985	C₂²	semidirect
89. #4982	C₂²	semidirect
90. #4982	C₂²	semidirect
91. #4982	C₂²	semidirect
92. #4982	C₂²	semidirect
93. #4981	C₂²	semidirect
94. #4980	C₂²	semidirect
95. #4980	C₂²	semidirect
96. #4980	C₂²	semidirect
97. #4980	C₂²	semidirect
98. #4979	C₂²	semidirect
99. #4979	C₂²	semidirect
100. #4978	C₂²	semidirect
101. #4978	C₂²	semidirect
102. #4978	C₂²	semidirect
103. #4976	C₂²	semidirect
104. #4976	C₂²	semidirect
105. Dic₃×C₄⋊C₄	C₂²	semidirect
106. Dic₃×C₄⋊C₄	C₂²	semidirect
107. #4973	C₂²	semidirect
108. #4972	C₂²	semidirect
121. #4953	C₂²	semidirect
122. #4952	C₂²	semidirect
123. #4952	C₂²	semidirect
124. #4951	C₂²	semidirect
125. #4951	C₂²	semidirect
126. #4951	C₂²	semidirect
127. #4951	C₂²	semidirect
130. #4949	C₂²	semidirect
135. #4945	C₂²	semidirect
139. #4944	C₂²	semidirect
146. #4933	C₂²	semidirect
147. #4932	C₂²	semidirect
168. #4661	C₂²	semidirect
169. #4660	C₂²	semidirect
170. #4660	C₂²	semidirect
171. #4659	C₂²	semidirect
172. #4658	C₂²	semidirect
173. #4657	C₂²	semidirect
174. #4656	C₂²	semidirect
175. #4655	C₂²	semidirect
176. #4655	C₂²	semidirect
177. #4654	C₂²	semidirect
178. #4654	C₂²	semidirect
179. #4653	C₂²	semidirect
180. #4653	C₂²	semidirect
181. #4653	C₂²	semidirect
182. #4653	C₂²	semidirect
183. #4652	C₂²	semidirect
184. #4652	C₂²	semidirect
185. #4651	C₂²	semidirect
186. #4650	C₂²	semidirect
187. #4647	C₂²	semidirect
189. #2748	D₃	semidirect
416. #399	C₂×D₃	semidirect
417. #399	C₂×D₃	semidirect
425. #398	C₂×D₃	semidirect
426. #398	C₂×D₃	semidirect
488. #387	C₂×D₃	semidirect
489. #387	C₂×D₃	semidirect
508. #385	C₂×D₃	semidirect
509. #385	C₂×D₃	semidirect
1463. C₃	#37854	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2748	2
#78109	2
#78106	2
#78075	2
#78034	2
#77964	2
#77950	2
#77864	2
#77795	2
#77322	2
#77310	2
#77303	2
#76345	2
#76330	2
#75303	2
#75296	2
#75182	2
#75066	2
#74936	2
#74892	2
#74833	2
#74768	2
#74640	2
#74597	2
#74593	2
#74473	2
D₃×#380	2
#73985	2
#73979	2
#73862	2
#37854	3