Subgroups — #11043478

Order 768.

1698 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	C₃×#2368	C₂	1	1	yes	maximal, characteristic, complemented
2	#82819	C₂	1	1	yes	maximal, characteristic
3	#82810	C₂	1	1	yes	maximal, characteristic, complemented
4	#76587	C₂	1	1	yes	maximal, characteristic, complemented
5	#76586	C₂	1	1	yes	maximal, characteristic, complemented
6	#76582	C₂	1	1	yes	maximal, characteristic, complemented
7	#76576	C₂	1	1	yes	maximal, characteristic, complemented
8	#75395	C₂	1	1	yes	maximal, characteristic, complemented
9	#75383	C₂	1	1	yes	maximal, characteristic, complemented
10	#75353	C₂	1	1	yes	maximal, characteristic, complemented
11	#75351	C₂	1	1	yes	maximal, characteristic, complemented
12	#75227	C₂	1	1	yes	maximal, characteristic, complemented
13	#75217	C₂	1	1	yes	maximal, characteristic, complemented
14	#75215	C₂	1	1	yes	maximal, characteristic, complemented
15	#75139	C₂	1	1	yes	maximal, characteristic, complemented
16	#74607	C₂	1	1	yes	maximal, characteristic
17	#74456	C₂	1	1	yes	maximal, characteristic, complemented
18	#74455	C₂	1	1	yes	maximal, characteristic
19	#74414	C₂	1	1	yes	maximal, characteristic, complemented
20	#73764	C₂	1	1	yes	maximal, characteristic, complemented
21	#73708	C₂	1	1	yes	maximal, characteristic, complemented
22	#73707	C₂	1	1	yes	maximal, characteristic, complemented
23	#73628	C₂	1	1	yes	maximal, characteristic, complemented
24	#73605	C₂	1	1	yes	maximal, characteristic
25	#73596	C₂	1	1	yes	maximal, characteristic
26	#73575	C₂	1	1	yes	maximal, characteristic
27	#73518	C₂	1	1	yes	maximal, characteristic, complemented
28	#73509	C₂	1	1	yes	maximal, characteristic, complemented
29	#73437	C₂	1	1	yes	maximal, characteristic, complemented
30	#73357	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#4670	C₂	1	1	yes	maximal, characteristic
32	#38392	—	3	1	no	maximal, Sylow
33	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂²×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
35	C₂²×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
36	C₂²×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
37	C₂²×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
38	C₂×#924	C₂²	1	1	yes	characteristic
39	C₂×#924	C₂²	1	1	yes	characteristic
40	C₂²×C₄×Dic₃	C₂²	1	1	yes	characteristic
41	C₂×#896	C₂²	1	1	yes	characteristic
42	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×#877	C₂²	1	1	yes	characteristic
44	C₂×#876	C₂²	1	1	yes	characteristic
45	C₃×#391	C₂²	1	1	yes	characteristic, complemented
46	C₃×#391	C₂²	1	1	yes	characteristic, complemented
47	C₃×#387	C₂²	1	1	yes	characteristic, complemented
48	C₃×#387	C₂²	1	1	yes	characteristic, complemented
49	C₃×#387	C₂²	1	1	yes	characteristic, complemented
50	C₃×#387	C₂²	1	1	yes	characteristic, complemented
51	C₃×#385	C₂²	1	1	yes	characteristic
52	C₃×#385	C₂²	1	1	yes	characteristic
53	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
54	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
55	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂×C₃×#95	C₂²	1	1	yes	characteristic
59	#5231	C₂²	1	1	yes	characteristic
60	#5231	C₂²	1	1	yes	characteristic
61	#5229	C₂²	1	1	yes	characteristic, complemented
62	#5229	C₂²	1	1	yes	characteristic, complemented
63	#5212	C₂²	1	1	yes	characteristic
64	#5210	C₂²	1	1	yes	characteristic
65	#5210	C₂²	1	1	yes	characteristic
66	C₄×#217	C₂²	1	1	yes	characteristic
67	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
68	#4994	C₂²	1	1	yes	characteristic
69	#4993	C₂²	1	1	yes	characteristic
70	#4992	C₂²	1	1	yes	characteristic
71	#4992	C₂²	1	1	yes	characteristic
72	#4992	C₂²	1	1	yes	characteristic
73	#4992	C₂²	1	1	yes	characteristic
74	#4990	C₂²	1	1	yes	characteristic
75	#4990	C₂²	1	1	yes	characteristic
76	#4990	C₂²	1	1	yes	characteristic
77	#4990	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	#4983	C₂²	1	1	yes	characteristic, complemented
82	#4982	C₂²	1	1	yes	characteristic, complemented
83	#4982	C₂²	1	1	yes	characteristic, complemented
84	#4980	C₂²	1	1	yes	characteristic, complemented
85	#4980	C₂²	1	1	yes	characteristic, complemented
86	#4980	C₂²	1	1	yes	characteristic, complemented
87	#4979	C₂²	1	1	yes	characteristic, complemented
88	#4978	C₂²	1	1	yes	characteristic, complemented
89	#4978	C₂²	1	1	yes	characteristic, complemented
90	#4978	C₂²	1	1	yes	characteristic, complemented
91	#4978	C₂²	1	1	yes	characteristic, complemented
92	#4976	C₂²	1	1	yes	characteristic, complemented
93	#4972	C₂²	1	1	yes	characteristic, complemented
94	#4972	C₂²	1	1	yes	characteristic, complemented
95	#4955	C₂²	1	1	yes	characteristic
96	#4955	C₂²	1	1	yes	characteristic
97	#4955	C₂²	1	1	yes	characteristic
98	#4946	C₂²	1	1	yes	characteristic
99	#4946	C₂²	1	1	yes	characteristic
100	#4943	C₂²	1	1	yes	characteristic
101	#4943	C₂²	1	1	yes	characteristic
102	#4943	C₂²	1	1	yes	characteristic
103	#4943	C₂²	1	1	yes	characteristic
104	#4943	C₂²	1	1	yes	characteristic
105	#4943	C₂²	1	1	yes	characteristic
106	#4943	C₂²	1	1	yes	characteristic
107	#4942	C₂²	1	1	yes	characteristic
108	#4942	C₂²	1	1	yes	characteristic
109	#4940	C₂²	1	1	yes	characteristic
110	#4940	C₂²	1	1	yes	characteristic
111	#4940	C₂²	1	1	yes	characteristic
112	#4940	C₂²	1	1	yes	characteristic
113	#4940	C₂²	1	1	yes	characteristic
114	#4940	C₂²	1	1	yes	characteristic
115	#4940	C₂²	1	1	yes	characteristic
116	#4940	C₂²	1	1	yes	characteristic
117	#4940	C₂²	1	1	yes	characteristic
118	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
120	#4937	C₂²	1	1	yes	characteristic, complemented
121	#4936	C₂²	1	1	yes	characteristic, complemented
122	#4936	C₂²	1	1	yes	characteristic, complemented
123	#4933	C₂²	1	1	yes	characteristic, complemented
124	#4933	C₂²	1	1	yes	characteristic, complemented
125	#4933	C₂²	1	1	yes	characteristic, complemented
126	#4932	C₂²	1	1	yes	characteristic, complemented
127	#4932	C₂²	1	1	yes	characteristic, complemented
128	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
129	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
130	#4929	C₂²	1	1	yes	characteristic, complemented
131	#4929	C₂²	1	1	yes	characteristic, complemented
132	#4676	C₂²	1	1	yes	characteristic
133	#4676	C₂²	1	1	yes	characteristic
134	#4675	C₂²	1	1	yes	characteristic
135	#4675	C₂²	1	1	yes	characteristic
136	#4675	C₂²	1	1	yes	characteristic
137	#4675	C₂²	1	1	yes	characteristic
138	#4675	C₂²	1	1	yes	characteristic
139	#4674	C₂²	1	1	yes	characteristic
140	#4674	C₂²	1	1	yes	characteristic
141	#4673	C₂²	1	1	yes	characteristic
142	#4673	C₂²	1	1	yes	characteristic
143	#4673	C₂²	1	1	yes	characteristic
144	#4670	C₂²	1	1	yes	characteristic
145	#4670	C₂²	1	1	yes	characteristic
146	#4670	C₂²	1	1	yes	characteristic
147	#4670	C₂²	1	1	yes	characteristic
148	#4670	C₂²	1	1	yes	characteristic
149	#4670	C₂²	1	1	yes	characteristic
150	#4670	C₂²	1	1	yes	characteristic
151	#4670	C₂²	1	1	yes	characteristic
152	#4670	C₂²	1	1	yes	characteristic
153	#4670	C₂²	1	1	yes	characteristic
154	#4668	C₂²	1	1	yes	characteristic
155	#4668	C₂²	1	1	yes	characteristic
156	#4668	C₂²	1	1	yes	characteristic
157	#4667	C₂²	1	1	yes	characteristic
158	#4664	C₂²	1	1	yes	characteristic
159	#4664	C₂²	1	1	yes	characteristic
160	C₃⋊#401	C₂²	1	1	yes	characteristic, complemented
161	#4660	C₂²	1	1	yes	characteristic, complemented
162	#4660	C₂²	1	1	yes	characteristic, complemented
163	#4659	C₂²	1	1	yes	characteristic, complemented
164	#4659	C₂²	1	1	yes	characteristic, complemented
165	#4659	C₂²	1	1	yes	characteristic, complemented
166	#4659	C₂²	1	1	yes	characteristic, complemented
167	#4658	C₂²	1	1	yes	characteristic, complemented
168	#4658	C₂²	1	1	yes	characteristic, complemented
169	#4658	C₂²	1	1	yes	characteristic, complemented
170	#4658	C₂²	1	1	yes	characteristic, complemented
171	#4657	C₂²	1	1	yes	characteristic, complemented
172	#4657	C₂²	1	1	yes	characteristic, complemented
173	#4657	C₂²	1	1	yes	characteristic, complemented
174	#4656	C₂²	1	1	yes	characteristic, complemented
175	#4656	C₂²	1	1	yes	characteristic, complemented
176	#4655	C₂²	1	1	yes	characteristic, complemented
177	#4655	C₂²	1	1	yes	characteristic, complemented
178	#4652	C₂²	1	1	yes	characteristic, complemented
179	#4651	C₂²	1	1	yes	characteristic, complemented
180	#4651	C₂²	1	1	yes	characteristic, complemented
181	#4650	C₂²	1	1	yes	characteristic, complemented
182	#4650	C₂²	1	1	yes	characteristic, complemented
183	#4647	C₂²	1	1	yes	characteristic, complemented
184	#4647	C₂²	1	1	yes	characteristic, complemented
185	#4646	C₂²	1	1	yes	characteristic, complemented
186	#4646	C₂²	1	1	yes	characteristic, complemented
187	#4646	C₂²	1	1	yes	characteristic, complemented
188	#2855	—	3	1	no	—
189	#2775	—	3	1	no	—
190	#2772	—	3	1	no	—
191	#2770	—	3	1	no	—
192	#2764	—	3	1	no	—
193	#2763	—	3	1	no	—
194	#2759	—	3	1	no	—
195	#2754	—	3	1	no	—
196	#2698	—	3	1	no	—
197	#2654	—	3	1	no	—
198	#2650	—	3	1	no	—
199	#2561	—	3	1	no	—
200	#2561	—	3	1	no	—
201	#2549	—	3	1	no	—
202	#2532	—	3	1	no	—
203	#2530	—	3	1	no	—
204	#2529	—	3	1	no	—
205	#2527	—	3	1	no	—
206	#2503	—	3	1	no	—
207	#2493	—	3	1	no	—
208	#2484	—	3	1	no	—
209	#2483	—	3	1	no	—
210	#2480	—	3	1	no	—
211	#2438	—	3	1	no	—
212	#2437	—	3	1	no	—
213	#2368	D₃	1	1	yes	characteristic, complemented
214	#2342	—	3	1	no	—
215	#2334	—	3	1	no	—
216	#2332	—	3	1	no	—
217	C₂×#388	—	3	1	no	—
218	#2283	—	3	1	no	—
219	C₂⁴×D₃	C₂³	1	1	yes	characteristic
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
224	C₂³×Dic₃	C₂³	1	1	yes	characteristic
225	C₂³×Dic₃	C₂³	1	1	yes	characteristic
226	C₂³×Dic₃	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×Dic₆	C₂³	1	1	yes	characteristic
230	C₂²×Dic₆	C₂³	1	1	yes	characteristic
231	C₃×C₂²⋊Q₈	—	2	4	no	—
232	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
249	C₂×#217	C₂³	1	1	yes	characteristic
250	C₂×#217	C₂³	1	1	yes	characteristic
251	C₂×#217	C₂³	1	1	yes	characteristic
252	C₂×#217	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₃)⋊C₄	—	2	4	no	—
254	C₂×(C₂×D₃)⋊C₄	—	2	4	no	—
255	C₂×(C₂×D₃)⋊C₄	—	4	2	no	—
256	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₃	—	4	2	no	—
283	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
291	#924	—	4	2	no	—
292	#924	—	4	2	no	—
293	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₃⋊C₄	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×C₄×Dic₃	—	2	4	no	—
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	#896	—	2	4	no	—
321	D₃×C₂²⋊C₄	—	4	2	no	—
322	#877	—	4	2	no	—
323	#876	—	2	4	no	—
324	C₃×#95	C₂³	1	1	yes	characteristic
325	C₃×#95	C₂³	1	1	yes	characteristic
326	C₃×#95	C₂³	1	1	yes	characteristic
327	C₃×#95	C₂³	1	1	yes	characteristic
328	C₃×#95	C₂³	1	1	yes	characteristic
329	C₃×#95	C₂³	1	1	yes	characteristic
330	C₃×#95	C₂³	1	1	yes	characteristic
331	C₃×#95	C₂³	1	1	yes	characteristic
332	C₃×#95	C₂³	1	1	yes	characteristic
333	C₃×#95	C₂³	1	1	yes	characteristic
334	C₃×#95	C₂³	1	1	yes	characteristic
335	C₃×#95	C₂³	1	1	yes	characteristic
336	C₃×#95	C₂³	1	1	yes	characteristic
337	C₃×#95	C₂³	1	1	yes	characteristic
338	C₃⋊#95	C₂³	1	1	yes	characteristic
339	C₃⋊#95	C₂³	1	1	yes	characteristic
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	C₂×#126	—	3	1	no	—
387	C₂×C₂²⋊Q₈	—	3	1	no	—
388	C₂×C₂²⋊Q₈	—	3	1	no	—
389	C₂×C₂²⋊Q₈	—	3	1	no	—
390	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
391	C₂×#117	—	3	1	no	—
392	C₂²×C₄⋊C₄	—	3	1	no	—
393	C₂²×C₂²⋊C₄	—	3	1	no	—
394	C₂²×C₂²⋊C₄	—	3	1	no	—
395	C₂²×C₂²⋊C₄	—	3	1	no	—
396	C₂²×C₂²⋊C₄	—	3	1	no	—
397	C₂²×C₄²	—	3	1	no	—
398	#401	—	3	1	no	—
399	#400	—	3	1	no	—
400	#400	—	3	1	no	—
401	#400	—	3	1	no	—
402	#400	—	3	1	no	—
403	#400	—	3	1	no	—
404	#400	—	3	1	no	—
405	#400	—	3	1	no	—
406	#400	—	3	1	no	—
407	#400	—	3	1	no	—
408	#400	—	3	1	no	—
409	#399	—	3	1	no	—
410	#398	—	3	1	no	—
411	#398	—	3	1	no	—
412	#398	—	3	1	no	—
413	#398	—	3	1	no	—
414	#398	—	3	1	no	—
415	#398	—	3	1	no	—
416	#397	—	3	1	no	—
417	#397	—	3	1	no	—
418	#397	—	3	1	no	—
419	#397	—	3	1	no	—
420	#397	—	3	1	no	—
421	#397	—	3	1	no	—
422	#397	—	3	1	no	—
423	#397	—	3	1	no	—
424	#397	—	3	1	no	—
425	#397	—	3	1	no	—
426	#397	—	3	1	no	—
427	#396	—	3	1	no	—
428	#396	—	3	1	no	—
429	#396	—	3	1	no	—
430	#395	—	3	1	no	—
431	#395	—	3	1	no	—
432	#395	—	3	1	no	—
433	#393	—	3	1	no	—
434	#393	—	3	1	no	—
435	#393	—	3	1	no	—
436	#393	—	3	1	no	—
437	#393	—	3	1	no	—
438	#391	—	3	1	no	—
439	#391	—	3	1	no	—
440	#391	—	3	1	no	—
441	#391	—	3	1	no	—
442	#391	—	3	1	no	—
443	#391	—	3	1	no	—
444	#391	—	3	1	no	—
445	#391	C₂×D₃	1	1	yes	characteristic, complemented
446	#391	C₂×D₃	1	1	yes	characteristic, complemented
447	#389	—	3	1	no	—
448	#389	—	3	1	no	—
449	#389	—	3	1	no	—
450	#389	—	3	1	no	—
451	#389	—	3	1	no	—
452	#388	—	3	1	no	—
453	#388	—	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	#388	—	3	1	no	—
471	#388	—	3	1	no	—
472	#388	—	3	1	no	—
473	#388	—	3	1	no	—
474	#388	—	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	#387	C₂×D₃	1	1	yes	characteristic, complemented
491	#387	C₂×D₃	1	1	yes	characteristic, complemented
492	#385	—	3	1	no	—
493	#385	—	3	1	no	—
494	#385	—	3	1	no	—
495	#385	—	3	1	no	—
496	#385	—	3	1	no	—
497	#385	—	3	1	no	—
498	#385	—	3	1	no	—
499	#385	—	3	1	no	—
500	#385	—	3	1	no	—
501	#385	—	3	1	no	—
502	#385	C₂×D₃	1	1	yes	characteristic
503	#385	C₂×D₃	1	1	yes	characteristic
504	#383	—	3	1	no	—
505	#383	—	3	1	no	—
506	#383	—	3	1	no	—
507	#382	—	3	1	no	—
508	#382	—	3	1	no	—
509	#382	—	3	1	no	—
510	#382	—	3	1	no	—
511	#381	—	3	1	no	—
512	#381	—	3	1	no	—
513	#381	—	3	1	no	—
514	#381	—	3	1	no	—
515	#381	—	3	1	no	—
516	#381	—	3	1	no	—
517	#381	—	3	1	no	—
518	#381	—	3	1	no	—
519	#381	—	3	1	no	—
520	#380	—	3	1	no	—
521	#380	—	3	1	no	—
522	#380	—	3	1	no	—
523	#380	—	3	1	no	—
524	#379	—	3	1	no	—
525	#379	—	3	1	no	—
526	#379	—	3	1	no	—
527	C₄×C₄⋊C₄	—	3	1	no	—
528	C₄×C₄⋊C₄	—	3	1	no	—
529	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
530	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
531	C₄×C₂²⋊C₄	—	3	1	no	—
532	C₄×C₂²⋊C₄	—	3	1	no	—
533	C₄×C₂²⋊C₄	—	3	1	no	—
534	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
535	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
536	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
537	#376	—	3	1	no	—
538	#376	—	3	1	no	—
539	C₂×#95	—	3	1	no	—
540	C₂×#95	C₂×D₃	1	1	yes	characteristic
541	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
542	C₂³×D₃	—	2	2	no	—
543	C₂³×D₃	—	2	2	no	—
544	C₂³×D₃	—	2	2	no	—
545	C₂³×D₃	—	2	2	no	—
546	C₂³×D₃	—	4	1	no	—
547	C₂³×D₃	—	4	1	no	—
548	C₂³×D₃	—	4	1	no	—
549	C₂³×D₃	C₂⁴	1	1	yes	characteristic
550	C₂³×D₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₃×Q₈	—	2	2	no	—
552	C₂×C₃×Q₈	—	4	1	no	—
553	C₂×C₃×Q₈	—	4	1	no	—
554	C₂²×C₃×C₄	—	2	2	no	—
555	C₂²×C₃×C₄	—	2	2	no	—
556	C₂²×C₃×C₄	—	2	2	no	—
557	C₂²×C₃×C₄	—	4	1	no	—
558	C₂²×C₃×C₄	—	4	1	no	—
559	C₂²×C₃×C₄	—	4	1	no	—
560	C₂²×C₃×C₄	—	4	1	no	—
561	C₂²×C₃×C₄	—	4	1	no	—
562	C₂²×C₃×C₄	#41	1	4	yes	—
563	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
564	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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×Dic₃	—	2	2	no	—
578	C₂²×Dic₃	—	2	2	no	—
579	C₂²×Dic₃	—	2	2	no	—
580	C₂²×Dic₃	—	2	2	no	—
581	C₂²×Dic₃	—	2	2	no	—
582	C₂²×Dic₃	—	2	2	no	—
583	C₂²×Dic₃	—	2	2	no	—
584	C₂²×Dic₃	—	2	2	no	—
585	C₂²×Dic₃	—	4	1	no	—
586	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₃	—	2	2	no	—
601	C₂×C₄×D₃	—	4	1	no	—
602	C₂×C₄×D₃	—	4	1	no	—
603	C₂×C₄×D₃	—	4	1	no	—
604	C₂×C₄×D₃	—	4	1	no	—
605	C₂×C₄×D₃	—	4	1	no	—
606	C₂×Dic₆	—	2	2	no	—
607	C₂×Dic₆	—	4	1	no	—
608	C₂×Dic₆	—	4	1	no	—
609	C₂×Dic₆	—	4	1	no	—
610	C₂×Dic₆	—	4	1	no	—
611	C₂×Dic₆	—	4	1	no	—
612	C₃×C₄⋊C₄	—	2	2	no	—
613	C₃×C₄⋊C₄	—	2	2	no	—
614	C₃×C₄⋊C₄	—	2	2	no	—
615	C₃×C₄⋊C₄	—	2	2	no	—
616	C₃×C₄⋊C₄	—	4	1	no	—
617	C₃×C₄⋊C₄	—	4	1	no	—
618	C₃×C₄⋊C₄	—	4	1	no	—
619	C₃×C₂²⋊C₄	—	2	2	no	—
620	C₃×C₂²⋊C₄	—	2	2	no	—
621	C₃×C₂²⋊C₄	—	2	2	no	—
622	C₃×C₂²⋊C₄	—	2	2	no	—
623	C₃×C₄²	—	2	2	no	—
624	C₃×C₄²	—	4	1	no	—
625	C₃×C₄²	—	4	1	no	—
626	C₃×C₄²	—	4	1	no	—
627	C₃×C₄²	—	4	1	no	—
628	C₃×C₄²	—	4	1	no	—
629	#217	—	2	2	no	—
630	#217	—	2	2	no	—
631	#217	—	2	2	no	—
632	#217	—	2	2	no	—
633	(C₂×D₃)⋊C₄	—	2	2	no	—
634	(C₂×D₃)⋊C₄	—	2	2	no	—
635	(C₂×D₃)⋊C₄	—	2	2	no	—
636	(C₂×D₃)⋊C₄	—	2	2	no	—
637	(C₂×D₃)⋊C₄	—	2	2	no	—
638	(C₂×D₃)⋊C₄	—	2	2	no	—
639	(C₂×D₃)⋊C₄	—	2	2	no	—
640	(C₂×D₃)⋊C₄	—	2	2	no	—
641	(C₂×D₃)⋊C₄	—	2	2	no	—
642	(C₂×D₃)⋊C₄	—	2	2	no	—
643	(C₂×D₃)⋊C₄	—	4	1	no	—
644	(C₂×D₃)⋊C₄	—	4	1	no	—
645	(C₂×D₃)⋊C₄	—	4	1	no	—
646	(C₂×D₃)⋊C₄	—	4	1	no	—
647	(C₂×D₃)⋊C₄	—	4	1	no	—
648	(C₂×D₃)⋊C₄	—	4	1	no	—
649	(C₂×D₃)⋊C₄	—	4	1	no	—
650	(C₂×D₃)⋊C₄	—	4	1	no	—
651	(C₂×D₃)⋊C₄	—	4	1	no	—
652	(C₂×D₃)⋊C₄	—	4	1	no	—
653	(C₂×D₃)⋊C₄	—	4	1	no	—
654	(C₂×D₃)⋊C₄	—	4	1	no	—
655	(C₂×D₃)⋊C₄	—	4	1	no	—
656	(C₂×D₃)⋊C₄	—	4	1	no	—
657	(C₂×D₃)⋊C₄	—	4	1	no	—
658	(C₂×D₃)⋊C₄	#41	1	4	yes	—
659	C₄⋊Dic₃	—	4	1	no	—
660	C₄⋊Dic₃	—	4	1	no	—
661	C₄⋊Dic₃	—	4	1	no	—
662	C₄⋊Dic₃	—	4	1	no	—
663	C₄⋊Dic₃	—	4	1	no	—
664	C₄⋊Dic₃	—	4	1	no	—
665	C₄⋊Dic₃	—	4	1	no	—
666	C₄⋊Dic₃	—	4	1	no	—
667	Dic₃⋊C₄	—	2	2	no	—
668	Dic₃⋊C₄	—	2	2	no	—
669	Dic₃⋊C₄	—	2	2	no	—
670	Dic₃⋊C₄	—	2	2	no	—
671	Dic₃⋊C₄	—	2	2	no	—
672	Dic₃⋊C₄	—	4	1	no	—
673	Dic₃⋊C₄	—	4	1	no	—
674	Dic₃⋊C₄	—	4	1	no	—
675	Dic₃⋊C₄	—	4	1	no	—
676	Dic₃⋊C₄	—	4	1	no	—
677	Dic₃⋊C₄	—	4	1	no	—
678	Dic₃⋊C₄	—	4	1	no	—
679	Dic₃⋊C₄	—	4	1	no	—
680	Dic₃⋊C₄	—	4	1	no	—
681	Dic₃⋊C₄	—	4	1	no	—
682	Dic₃⋊C₄	—	4	1	no	—
683	Dic₃⋊C₄	—	4	1	no	—
684	Dic₃⋊C₄	—	4	1	no	—
685	C₄×Dic₃	—	2	2	no	—
686	C₄×Dic₃	—	2	2	no	—
687	C₄×Dic₃	—	2	2	no	—
688	C₄×Dic₃	—	2	2	no	—
689	C₄×Dic₃	—	4	1	no	—
690	C₄×Dic₃	—	4	1	no	—
691	C₄×Dic₃	—	4	1	no	—
692	C₄×Dic₃	—	4	1	no	—
693	C₂⁵	—	3	1	no	—
694	C₂²×Q₈	—	3	1	no	—
695	C₂²×Q₈	—	3	1	no	—
696	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
697	C₂³×C₄	—	3	1	no	—
698	C₂³×C₄	—	3	1	no	—
699	C₂³×C₄	—	3	1	no	—
700	C₂³×C₄	—	3	1	no	—
701	C₂³×C₄	—	3	1	no	—
702	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
703	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
704	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
705	#126	—	6	4	no	—
706	C₂²⋊Q₈	—	2	4	no	—
707	C₂²⋊Q₈	—	6	4	no	—
708	C₂²⋊Q₈	—	12	2	no	—
709	C₂²⋊Q₈	—	12	2	no	—
710	#117	—	12	2	no	—
711	C₂×C₄⋊C₄	—	3	1	no	—
712	C₂×C₄⋊C₄	—	3	1	no	—
713	C₂×C₄⋊C₄	—	3	1	no	—
714	C₂×C₄⋊C₄	—	3	1	no	—
715	C₂×C₄⋊C₄	—	3	1	no	—
716	C₂×C₄⋊C₄	—	3	1	no	—
717	C₂×C₄⋊C₄	—	3	1	no	—
718	C₂×C₄⋊C₄	—	3	1	no	—
719	C₂×C₄⋊C₄	—	3	1	no	—
720	C₂×C₄⋊C₄	—	3	1	no	—
721	C₂×C₄⋊C₄	—	3	1	no	—
722	C₂×C₄⋊C₄	—	3	1	no	—
723	C₂×C₄⋊C₄	—	3	1	no	—
724	C₂×C₄⋊C₄	—	3	1	no	—
725	C₂×C₄⋊C₄	—	3	1	no	—
726	C₂×C₄⋊C₄	—	3	1	no	—
727	C₂×C₄⋊C₄	—	3	1	no	—
728	C₂×C₄⋊C₄	—	3	1	no	—
729	C₂×C₄⋊C₄	—	3	1	no	—
730	C₂×C₄⋊C₄	—	3	1	no	—
731	C₂×C₄⋊C₄	—	3	1	no	—
732	C₂×C₄⋊C₄	—	3	1	no	—
733	C₂×C₄⋊C₄	—	3	1	no	—
734	C₂×C₄⋊C₄	—	3	1	no	—
735	C₂×C₄⋊C₄	—	3	1	no	—
736	C₂×C₄⋊C₄	—	3	1	no	—
737	C₂×C₄⋊C₄	—	12	2	no	—
738	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
745	C₂×C₂²⋊C₄	—	3	1	no	—
746	C₂×C₂²⋊C₄	—	3	1	no	—
747	C₂×C₂²⋊C₄	—	3	1	no	—
748	C₂×C₂²⋊C₄	—	3	1	no	—
749	C₂×C₂²⋊C₄	—	3	1	no	—
750	C₂×C₂²⋊C₄	—	3	1	no	—
751	C₂×C₂²⋊C₄	—	3	1	no	—
752	C₂×C₂²⋊C₄	—	3	1	no	—
753	C₂×C₂²⋊C₄	—	3	1	no	—
754	C₂×C₂²⋊C₄	—	3	1	no	—
755	C₂×C₂²⋊C₄	—	3	1	no	—
756	C₂×C₂²⋊C₄	—	3	1	no	—
757	C₂×C₂²⋊C₄	—	3	1	no	—
758	C₂×C₂²⋊C₄	—	3	1	no	—
759	C₂×C₂²⋊C₄	—	3	1	no	—
760	C₂×C₂²⋊C₄	—	3	1	no	—
761	C₂×C₂²⋊C₄	—	3	1	no	—
762	C₂×C₂²⋊C₄	—	3	1	no	—
763	C₂×C₂²⋊C₄	—	3	1	no	—
764	C₂×C₂²⋊C₄	—	3	1	no	—
765	C₂×C₂²⋊C₄	—	3	1	no	—
766	C₂×C₂²⋊C₄	—	3	1	no	—
767	C₂×C₂²⋊C₄	—	3	1	no	—
768	C₂×C₂²⋊C₄	—	3	1	no	—
769	C₂×C₂²⋊C₄	—	3	1	no	—
770	C₂×C₂²⋊C₄	—	3	1	no	—
771	C₂×C₂²⋊C₄	—	3	1	no	—
772	C₂×C₂²⋊C₄	—	3	1	no	—
773	C₂×C₂²⋊C₄	—	3	1	no	—
774	C₂×C₂²⋊C₄	—	3	1	no	—
775	C₂×C₂²⋊C₄	—	6	4	no	—
776	C₂×C₂²⋊C₄	—	6	4	no	—
777	C₂×C₂²⋊C₄	—	12	2	no	—
778	C₂×C₂²⋊C₄	—	12	2	no	—
779	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
780	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
783	C₂×C₄²	—	3	1	no	—
784	C₂×C₄²	—	3	1	no	—
785	C₂×C₄²	—	3	1	no	—
786	C₂×C₄²	—	3	1	no	—
787	C₂×C₄²	—	3	1	no	—
788	C₂×C₄²	—	3	1	no	—
789	C₂×C₄²	—	3	1	no	—
790	C₂×C₄²	—	3	1	no	—
791	C₂×C₄²	—	6	4	no	—
792	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
793	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
794	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
795	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
796	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
797	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
798	#95	—	3	1	no	—
799	#95	—	3	1	no	—
800	#95	—	3	1	no	—
801	#95	—	3	1	no	—
802	#95	—	3	1	no	—
803	#95	—	3	1	no	—
804	#95	—	3	1	no	—
805	#95	—	3	1	no	—
806	#95	—	3	1	no	—
807	#95	—	3	1	no	—
808	#95	—	3	1	no	—
809	#95	—	3	1	no	—
810	#95	—	3	1	no	—
811	#95	—	3	1	no	—
812	#95	—	3	1	no	—
813	#95	—	3	1	no	—
814	#95	—	3	1	no	—
815	#95	—	3	1	no	—
816	#95	—	3	1	no	—
817	#95	—	3	1	no	—
818	#95	—	3	1	no	—
819	#95	—	3	1	no	—
820	#95	—	3	1	no	—
821	#95	—	3	1	no	—
822	#95	—	3	1	no	—
823	#95	—	3	1	no	—
824	#95	—	3	1	no	—
825	#95	—	3	1	no	—
826	#95	—	3	1	no	—
827	#95	—	3	1	no	—
828	#95	—	3	1	no	—
829	#95	—	3	1	no	—
830	#95	—	3	1	no	—
831	#95	—	3	1	no	—
832	#95	—	3	1	no	—
833	#95	—	3	1	no	—
834	#95	—	3	1	no	—
835	#95	—	3	1	no	—
836	#95	—	3	1	no	—
837	#95	—	3	1	no	—
838	#95	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
847	#95	C₂²×D₃	1	1	yes	characteristic
848	#95	C₂²×D₃	1	1	yes	characteristic
849	#95	C₂²×D₃	1	1	yes	characteristic
850	#95	C₂²×D₃	1	1	yes	characteristic
851	#95	C₂²×D₃	1	1	yes	characteristic
852	#95	C₂²×D₃	1	1	yes	characteristic
853	#95	C₂²×D₃	1	1	yes	characteristic
854	#95	C₂²×D₃	1	1	yes	characteristic
855	#95	C₂²×D₃	1	1	yes	characteristic
856	#95	C₂²×D₃	1	1	yes	characteristic
857	#95	C₂²×D₃	1	1	yes	characteristic
858	#95	C₂²×D₃	1	1	yes	characteristic
859	#95	C₂²×D₃	1	1	yes	characteristic
860	C₂³×C₃	—	2	1	no	—
861	C₂³×C₃	—	2	1	no	—
862	C₂³×C₃	—	2	1	no	—
863	C₂³×C₃	—	2	1	no	—
864	C₂³×C₃	C₂×#41	1	2	yes	—
865	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
866	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
867	C₂³×C₃	C₂⁵	1	1	yes	characteristic
868	C₂²×D₃	—	2	1	no	—
869	C₂²×D₃	—	2	1	no	—
870	C₂²×D₃	—	2	1	no	—
871	C₂²×D₃	—	2	1	no	—
872	C₂²×D₃	—	2	1	no	—
873	C₂²×D₃	—	2	1	no	—
874	C₂²×D₃	—	2	1	no	—
875	C₂²×D₃	—	2	1	no	—
876	C₂²×D₃	—	2	1	no	—
877	C₂²×D₃	—	2	1	no	—
878	C₂²×D₃	—	2	1	no	—
879	C₂²×D₃	—	2	1	no	—
880	C₂²×D₃	—	2	1	no	—
881	C₂²×D₃	—	4	4	no	—
882	C₂²×D₃	—	4	4	no	—
883	C₂²×D₃	—	4	4	no	—
884	C₂²×D₃	—	4	4	no	—
885	C₂²×D₃	—	8	2	no	—
886	C₂²×D₃	—	8	2	no	—
887	C₂²×D₃	—	8	2	no	—
888	C₂²×D₃	C₂×#41	1	2	yes	—
889	C₃×Q₈	—	8	2	no	—
890	C₂×C₃×C₄	—	2	1	no	—
891	C₂×C₃×C₄	—	2	1	no	—
892	C₂×C₃×C₄	—	2	1	no	—
893	C₂×C₃×C₄	—	2	1	no	—
894	C₂×C₃×C₄	—	2	1	no	—
895	C₂×C₃×C₄	—	2	1	no	—
896	C₂×C₃×C₄	—	2	1	no	—
897	C₂×C₃×C₄	—	2	1	no	—
898	C₂×C₃×C₄	—	2	1	no	—
899	C₂×C₃×C₄	—	2	1	no	—
900	C₂×C₃×C₄	—	2	1	no	—
901	C₂×C₃×C₄	—	2	1	no	—
902	C₂×C₃×C₄	—	2	1	no	—
903	C₂×C₃×C₄	—	2	1	no	—
904	C₂×C₃×C₄	—	2	1	no	—
905	C₂×C₃×C₄	—	2	1	no	—
906	C₂×C₃×C₄	—	2	1	no	—
907	C₂×C₃×C₄	—	2	1	no	—
908	C₂×C₃×C₄	—	2	1	no	—
909	C₂×C₃×C₄	—	2	1	no	—
910	C₂×C₃×C₄	—	2	1	no	—
911	C₂×C₃×C₄	—	2	1	no	—
912	C₂×C₃×C₄	—	2	1	no	—
913	C₂×C₃×C₄	—	2	1	no	—
914	C₂×C₃×C₄	—	2	1	no	—
915	C₂×C₃×C₄	—	2	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
917	C₂×C₃×C₄	—	2	1	no	—
918	C₂×C₃×C₄	—	2	1	no	—
919	C₂×C₃×C₄	—	2	1	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	—	4	4	no	—
930	C₂×C₃×C₄	—	4	4	no	—
931	C₂×C₃×C₄	—	8	2	no	—
932	C₂×C₃×C₄	C₂×#41	1	2	yes	—
933	C₂×C₃×C₄	C₂×#41	1	2	yes	—
934	C₂×C₃×C₄	C₂×#41	1	2	yes	—
935	C₂×Dic₃	—	2	1	no	—
936	C₂×Dic₃	—	2	1	no	—
937	C₂×Dic₃	—	2	1	no	—
938	C₂×Dic₃	—	2	1	no	—
939	C₂×Dic₃	—	2	1	no	—
940	C₂×Dic₃	—	2	1	no	—
941	C₂×Dic₃	—	2	1	no	—
942	C₂×Dic₃	—	2	1	no	—
943	C₂×Dic₃	—	2	1	no	—
944	C₂×Dic₃	—	2	1	no	—
945	C₂×Dic₃	—	2	1	no	—
946	C₂×Dic₃	—	2	1	no	—
947	C₂×Dic₃	—	2	1	no	—
948	C₂×Dic₃	—	2	1	no	—
949	C₂×Dic₃	—	2	1	no	—
950	C₂×Dic₃	—	2	1	no	—
951	C₂×Dic₃	—	2	1	no	—
952	C₂×Dic₃	—	2	1	no	—
953	C₂×Dic₃	—	2	1	no	—
954	C₂×Dic₃	—	2	1	no	—
955	C₂×Dic₃	—	2	1	no	—
956	C₂×Dic₃	—	2	1	no	—
957	C₂×Dic₃	—	2	1	no	—
958	C₂×Dic₃	—	2	1	no	—
959	C₂×Dic₃	—	2	1	no	—
960	C₂×Dic₃	—	2	1	no	—
961	C₂×Dic₃	—	2	1	no	—
962	C₂×Dic₃	—	2	1	no	—
963	C₂×Dic₃	—	2	1	no	—
964	C₂×Dic₃	—	2	1	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	—	4	4	no	—
977	C₂×Dic₃	—	4	4	no	—
978	C₂×Dic₃	—	4	4	no	—
979	C₂×Dic₃	C₂×#41	1	2	yes	—
980	C₄×D₃	—	8	2	no	—
981	C₄×D₃	—	8	2	no	—
982	Dic₆	—	8	2	no	—
983	Dic₆	—	8	2	no	—
984	C₂⁴	—	3	1	no	—
985	C₂⁴	—	3	1	no	—
986	C₂⁴	—	6	2	no	—
987	C₂⁴	—	6	2	no	—
988	C₂⁴	—	6	2	no	—
989	C₂⁴	—	6	2	no	—
990	C₂⁴	—	12	1	no	—
991	C₂⁴	—	12	1	no	—
992	C₂⁴	—	12	1	no	—
993	C₂⁴	C₂³×D₃	1	1	yes	characteristic
994	C₂×Q₈	—	2	2	no	—
995	C₂×Q₈	—	4	1	no	—
996	C₂×Q₈	—	4	1	no	—
997	C₂×Q₈	—	6	2	no	—
998	C₂×Q₈	—	12	1	no	—
999	C₂×Q₈	—	12	1	no	—
1000	C₂×Q₈	—	12	1	no	—
1001	C₂×Q₈	—	12	1	no	—
1002	C₂×Q₈	—	12	1	no	—
1003	C₂²×C₄	—	2	2	no	—
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	2	2	no	—
1006	C₂²×C₄	—	3	1	no	—
1007	C₂²×C₄	—	3	1	no	—
1008	C₂²×C₄	—	3	1	no	—
1009	C₂²×C₄	—	3	1	no	—
1010	C₂²×C₄	—	3	1	no	—
1011	C₂²×C₄	—	3	1	no	—
1012	C₂²×C₄	—	3	1	no	—
1013	C₂²×C₄	—	3	1	no	—
1014	C₂²×C₄	—	3	1	no	—
1015	C₂²×C₄	—	3	1	no	—
1016	C₂²×C₄	—	3	1	no	—
1017	C₂²×C₄	—	3	1	no	—
1018	C₂²×C₄	—	3	1	no	—
1019	C₂²×C₄	—	3	1	no	—
1020	C₂²×C₄	—	4	1	no	—
1021	C₂²×C₄	—	4	1	no	—
1022	C₂²×C₄	—	4	1	no	—
1023	C₂²×C₄	—	4	1	no	—
1024	C₂²×C₄	—	4	1	no	—
1025	C₂²×C₄	—	6	2	no	—
1026	C₂²×C₄	—	6	2	no	—
1027	C₂²×C₄	—	6	2	no	—
1028	C₂²×C₄	—	6	2	no	—
1029	C₂²×C₄	—	6	2	no	—
1030	C₂²×C₄	—	6	2	no	—
1031	C₂²×C₄	—	6	2	no	—
1032	C₂²×C₄	—	6	2	no	—
1033	C₂²×C₄	—	6	2	no	—
1034	C₂²×C₄	—	12	1	no	—
1035	C₂²×C₄	—	12	1	no	—
1036	C₂²×C₄	—	12	1	no	—
1037	C₂²×C₄	—	12	1	no	—
1038	C₂²×C₄	—	12	1	no	—
1039	C₂²×C₄	—	12	1	no	—
1040	C₂²×C₄	#235	1	4	yes	—
1041	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	6	2	no	—
1063	C₄⋊C₄	—	6	2	no	—
1064	C₄⋊C₄	—	6	2	no	—
1065	C₄⋊C₄	—	6	2	no	—
1066	C₄⋊C₄	—	6	2	no	—
1067	C₄⋊C₄	—	12	1	no	—
1068	C₄⋊C₄	—	12	1	no	—
1069	C₄⋊C₄	—	12	1	no	—
1070	C₄⋊C₄	—	12	1	no	—
1071	C₄⋊C₄	—	12	1	no	—
1072	C₄⋊C₄	—	12	1	no	—
1073	C₄⋊C₄	—	12	1	no	—
1074	C₄⋊C₄	—	12	1	no	—
1075	C₄⋊C₄	—	12	1	no	—
1076	C₄⋊C₄	—	12	1	no	—
1077	C₄⋊C₄	—	12	1	no	—
1078	C₄⋊C₄	—	12	1	no	—
1079	C₄⋊C₄	—	12	1	no	—
1080	C₄⋊C₄	—	12	1	no	—
1081	C₄⋊C₄	—	12	1	no	—
1082	C₄⋊C₄	—	12	1	no	—
1083	C₄⋊C₄	—	12	1	no	—
1084	C₄⋊C₄	—	12	1	no	—
1085	C₄⋊C₄	—	12	1	no	—
1086	C₄⋊C₄	—	12	1	no	—
1087	C₄⋊C₄	—	12	1	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	3	4	no	—
1093	C₂²⋊C₄	—	6	2	no	—
1094	C₂²⋊C₄	—	6	2	no	—
1095	C₂²⋊C₄	—	6	2	no	—
1096	C₂²⋊C₄	—	6	2	no	—
1097	C₂²⋊C₄	—	6	2	no	—
1098	C₂²⋊C₄	—	6	2	no	—
1099	C₂²⋊C₄	—	6	2	no	—
1100	C₂²⋊C₄	—	6	2	no	—
1101	C₂²⋊C₄	—	6	2	no	—
1102	C₂²⋊C₄	—	6	2	no	—
1103	C₂²⋊C₄	—	6	2	no	—
1104	C₂²⋊C₄	—	6	2	no	—
1105	C₂²⋊C₄	—	6	2	no	—
1106	C₂²⋊C₄	—	6	2	no	—
1107	C₂²⋊C₄	—	12	1	no	—
1108	C₂²⋊C₄	—	12	1	no	—
1109	C₂²⋊C₄	—	12	1	no	—
1110	C₂²⋊C₄	—	12	1	no	—
1111	C₂²⋊C₄	—	12	1	no	—
1112	C₂²⋊C₄	—	12	1	no	—
1113	C₂²⋊C₄	—	12	1	no	—
1114	C₂²⋊C₄	—	12	1	no	—
1115	C₂²⋊C₄	—	12	1	no	—
1116	C₂²⋊C₄	—	12	1	no	—
1117	C₂²⋊C₄	—	12	1	no	—
1118	C₂²⋊C₄	—	12	1	no	—
1119	C₂²⋊C₄	—	12	1	no	—
1120	C₂²⋊C₄	—	12	1	no	—
1121	C₂²⋊C₄	—	12	1	no	—
1122	C₄²	—	2	2	no	—
1123	C₄²	—	4	1	no	—
1124	C₄²	—	4	1	no	—
1125	C₄²	—	4	1	no	—
1126	C₄²	—	4	1	no	—
1127	C₄²	—	4	1	no	—
1128	C₄²	—	6	2	no	—
1129	C₄²	—	6	2	no	—
1130	C₄²	—	6	2	no	—
1131	C₄²	—	6	2	no	—
1132	C₄²	—	12	1	no	—
1133	C₄²	—	12	1	no	—
1134	C₄²	—	12	1	no	—
1135	C₄²	—	12	1	no	—
1136	C₂²×C₃	—	2	2	no	—
1137	C₂²×C₃	—	2	2	no	—
1138	C₂²×C₃	—	2	2	no	—
1139	C₂²×C₃	—	2	2	no	—
1140	C₂²×C₃	—	2	2	no	—
1141	C₂²×C₃	—	2	2	no	—
1142	C₂²×C₃	#542	1	4	yes	—
1143	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1144	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1145	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1146	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1147	C₂²×C₃	#585	1	1	yes	characteristic
1148	C₂²×C₃	#585	1	1	yes	characteristic
1149	C₂²×C₃	#585	1	1	yes	characteristic
1150	C₂×D₃	—	2	2	no	—
1151	C₂×D₃	—	2	2	no	—
1152	C₂×D₃	—	2	2	no	—
1153	C₂×D₃	—	4	1	no	—
1154	C₂×D₃	—	4	1	no	—
1155	C₂×D₃	—	4	1	no	—
1156	C₂×D₃	—	4	1	no	—
1157	C₂×D₃	—	4	1	no	—
1158	C₂×D₃	—	4	1	no	—
1159	C₂×D₃	—	4	1	no	—
1160	C₂×D₃	—	4	1	no	—
1161	C₂×D₃	—	4	1	no	—
1162	C₂×D₃	—	4	1	no	—
1163	C₂×D₃	—	4	1	no	—
1164	C₂×D₃	—	8	8	no	—
1165	C₃×C₄	—	2	2	no	—
1166	C₃×C₄	—	2	2	no	—
1167	C₃×C₄	—	2	2	no	—
1168	C₃×C₄	—	4	1	no	—
1169	C₃×C₄	—	4	1	no	—
1170	C₃×C₄	—	4	1	no	—
1171	C₃×C₄	—	4	1	no	—
1172	C₃×C₄	—	4	1	no	—
1173	C₃×C₄	—	4	1	no	—
1174	C₃×C₄	—	4	1	no	—
1175	C₃×C₄	—	4	1	no	—
1176	C₃×C₄	—	4	1	no	—
1177	C₃×C₄	—	4	1	no	—
1178	C₃×C₄	—	4	1	no	—
1179	Dic₃	—	2	2	no	—
1180	Dic₃	—	4	1	no	—
1181	Dic₃	—	4	1	no	—
1182	Dic₃	—	4	1	no	—
1183	Dic₃	—	4	1	no	—
1184	Dic₃	—	4	1	no	—
1185	Dic₃	—	4	1	no	—
1186	Dic₃	—	4	1	no	—
1187	Dic₃	—	4	1	no	—
1188	Dic₃	—	4	1	no	—
1189	Dic₃	—	4	1	no	—
1190	Dic₃	—	4	1	no	—
1191	Dic₃	—	4	1	no	—
1192	Dic₃	—	4	1	no	—
1193	C₂³	—	2	1	no	—
1194	C₂³	—	2	1	no	—
1195	C₂³	—	2	1	no	—
1196	C₂³	—	2	1	no	—
1197	C₂³	—	3	2	no	—
1198	C₂³	—	6	1	no	—
1199	C₂³	—	6	1	no	—
1200	C₂³	—	6	1	no	—
1201	C₂³	—	6	1	no	—
1202	C₂³	—	6	1	no	—
1203	C₂³	—	6	1	no	—
1204	C₂³	—	6	1	no	—
1205	C₂³	—	6	1	no	—
1206	C₂³	—	6	1	no	—
1207	C₂³	—	6	1	no	—
1208	C₂³	—	6	1	no	—
1209	C₂³	—	6	1	no	—
1210	C₂³	—	6	1	no	—
1211	C₂³	—	12	4	no	—
1212	C₂³	—	12	4	no	—
1213	C₂³	—	12	4	no	—
1214	C₂³	—	12	4	no	—
1215	C₂³	—	24	2	no	—
1216	C₂³	—	24	2	no	—
1217	C₂³	—	24	2	no	—
1218	C₂³	C₂×#235	1	2	yes	—
1219	C₂³	#1007	1	2	yes	—
1220	C₂³	#1009	1	2	yes	—
1221	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1222	Q₈	—	8	2	no	—
1223	Q₈	—	24	2	no	—
1224	Q₈	—	24	2	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	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	—	3	2	no	—
1265	C₂×C₄	—	4	4	no	—
1266	C₂×C₄	—	4	4	no	—
1267	C₂×C₄	—	6	1	no	—
1268	C₂×C₄	—	6	1	no	—
1269	C₂×C₄	—	6	1	no	—
1270	C₂×C₄	—	6	1	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	—	8	2	no	—
1309	C₂×C₄	—	12	4	no	—
1310	C₂×C₄	—	12	4	no	—
1311	C₂×C₄	—	12	4	no	—
1312	C₂×C₄	—	24	2	no	—
1313	C₂×C₄	—	24	2	no	—
1314	C₂×C₄	C₂×#235	1	2	yes	—
1315	C₂×C₄	C₂×#235	1	2	yes	—
1316	C₂×C₄	D₃×#41	1	2	yes	—
1317	C₂×C₃	—	2	4	no	—
1318	C₂×C₃	C₂×#542	1	1	yes	characteristic
1319	C₂×C₃	#3475	1	1	yes	characteristic
1320	C₂×C₃	#3491	1	1	yes	characteristic
1321	C₂×C₃	#3495	1	1	yes	characteristic
1322	C₂×C₃	#3513	1	1	yes	characteristic
1323	C₂×C₃	#3545	1	1	yes	characteristic
1324	C₂×C₃	#3564	1	1	yes	characteristic
1325	D₃	—	4	2	no	—
1326	D₃	—	8	1	no	—
1327	C₂²	—	2	2	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	2	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	6	2	no	—
1334	C₂²	—	6	2	no	—
1335	C₂²	—	6	2	no	—
1336	C₂²	—	12	1	no	—
1337	C₂²	—	12	1	no	—
1338	C₂²	—	12	1	no	—
1339	C₂²	—	12	1	no	—
1340	C₂²	—	12	1	no	—
1341	C₂²	—	12	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	—	24	8	no	—
1348	C₂²	#5582	1	4	yes	—
1349	C₂²	C₂²×#235	1	1	yes	characteristic
1350	C₂²	C₂×#1007	1	1	yes	characteristic
1351	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1352	C₂²	C₂×#1009	1	1	yes	characteristic
1353	C₂²	#5964	1	1	yes	characteristic
1354	C₂²	#5966	1	1	yes	characteristic
1355	C₂²	#5966	1	1	yes	characteristic
1356	C₄	—	2	2	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	2	2	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	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	C₃	#38392	1	1	yes	characteristic, complemented, Sylow
1385	C₂	—	2	4	no	—
1386	C₂	—	12	2	no	—
1387	C₂	—	24	1	no	—
1388	C₂	C₂×#5582	1	1	yes	characteristic
1389	C₂	#85840	1	1	yes	characteristic
1390	C₂	#85859	1	1	yes	characteristic
1391	C₂	#86795	1	1	yes	characteristic
1392	C₂	#86806	1	1	yes	characteristic
1393	C₂	#86925	1	1	yes	characteristic
1394	C₂	#86944	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2368	C₂
prime radical	C₂⁴×D₃	C₂³
hypercenter	#2368	D₃
hypocenter	C₃	#38392
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2368

Complements

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

N	H ≅ G/N	type
1. C₃×#2368	C₂	semidirect
3. #82810	C₂	semidirect
4. #76587	C₂	semidirect
5. #76586	C₂	semidirect
6. #76582	C₂	semidirect
7. #76576	C₂	semidirect
8. #75395	C₂	semidirect
9. #75383	C₂	semidirect
10. #75353	C₂	semidirect
11. #75351	C₂	semidirect
12. #75227	C₂	semidirect
13. #75217	C₂	semidirect
14. #75215	C₂	semidirect
15. #75139	C₂	semidirect
17. #74456	C₂	semidirect
19. #74414	C₂	semidirect
20. #73764	C₂	semidirect
21. #73708	C₂	semidirect
22. #73707	C₂	semidirect
23. #73628	C₂	semidirect
27. #73518	C₂	semidirect
28. #73509	C₂	semidirect
29. #73437	C₂	semidirect
30. #73357	C₂	semidirect
45. C₃×#391	C₂²	semidirect
46. C₃×#391	C₂²	semidirect
47. C₃×#387	C₂²	semidirect
48. C₃×#387	C₂²	semidirect
49. C₃×#387	C₂²	semidirect
50. C₃×#387	C₂²	semidirect
53. C₃×C₄×C₄⋊C₄	C₂²	semidirect
54. C₃×C₄×C₄⋊C₄	C₂²	semidirect
61. #5229	C₂²	semidirect
62. #5229	C₂²	semidirect
81. #4983	C₂²	semidirect
82. #4982	C₂²	semidirect
83. #4982	C₂²	semidirect
84. #4980	C₂²	semidirect
85. #4980	C₂²	semidirect
86. #4980	C₂²	semidirect
87. #4979	C₂²	semidirect
88. #4978	C₂²	semidirect
89. #4978	C₂²	semidirect
90. #4978	C₂²	semidirect
91. #4978	C₂²	semidirect
92. #4976	C₂²	semidirect
93. #4972	C₂²	semidirect
94. #4972	C₂²	semidirect
120. #4937	C₂²	semidirect
121. #4936	C₂²	semidirect
122. #4936	C₂²	semidirect
123. #4933	C₂²	semidirect
124. #4933	C₂²	semidirect
125. #4933	C₂²	semidirect
126. #4932	C₂²	semidirect
127. #4932	C₂²	semidirect
128. C₄×Dic₃⋊C₄	C₂²	semidirect
129. C₄×Dic₃⋊C₄	C₂²	semidirect
130. #4929	C₂²	semidirect
131. #4929	C₂²	semidirect
160. C₃⋊#401	C₂²	semidirect
161. #4660	C₂²	semidirect
162. #4660	C₂²	semidirect
163. #4659	C₂²	semidirect
164. #4659	C₂²	semidirect
165. #4659	C₂²	semidirect
166. #4659	C₂²	semidirect
167. #4658	C₂²	semidirect
168. #4658	C₂²	semidirect
169. #4658	C₂²	semidirect
170. #4658	C₂²	semidirect
171. #4657	C₂²	semidirect
172. #4657	C₂²	semidirect
173. #4657	C₂²	semidirect
174. #4656	C₂²	semidirect
175. #4656	C₂²	semidirect
176. #4655	C₂²	semidirect
177. #4655	C₂²	semidirect
178. #4652	C₂²	semidirect
179. #4651	C₂²	semidirect
180. #4651	C₂²	semidirect
181. #4650	C₂²	semidirect
182. #4650	C₂²	semidirect
183. #4647	C₂²	semidirect
184. #4647	C₂²	semidirect
185. #4646	C₂²	semidirect
186. #4646	C₂²	semidirect
187. #4646	C₂²	semidirect
213. #2368	D₃	semidirect
445. #391	C₂×D₃	semidirect
446. #391	C₂×D₃	semidirect
488. #387	C₂×D₃	semidirect
489. #387	C₂×D₃	semidirect
490. #387	C₂×D₃	semidirect
491. #387	C₂×D₃	semidirect
529. C₄×C₄⋊C₄	C₂×D₃	semidirect
530. C₄×C₄⋊C₄	C₂×D₃	semidirect
1384. C₃	#38392	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2368	2
#82819	2
#82810	2
#76587	2
#76586	2
#76582	2
#76576	2
#75395	2
#75383	2
#75353	2
#75351	2
#75227	2
#75217	2
#75215	2
#75139	2
#74607	2
#74456	2
#74455	2
#74414	2
#73764	2
#73708	2
#73707	2
#73628	2
#73605	2
#73596	2
#73575	2
#73518	2
#73509	2
#73437	2
#73357	2
C₂×#4670	2
#38392	3