Subgroups — #11660617

Order 768.

1816 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×#5538	C₂	1	1	yes	maximal, characteristic
2	C₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
3	#82303	C₂	1	1	yes	maximal, characteristic, complemented
4	#79525	C₂	1	2	yes	maximal, complemented
5	#79520	C₂	1	2	yes	maximal, complemented
6	#79466	C₂	1	2	yes	maximal, complemented
7	#79465	C₂	1	2	yes	maximal, complemented
8	#79459	C₂	1	2	yes	maximal, complemented
9	#79454	C₂	1	2	yes	maximal, complemented
10	#79409	C₂	1	2	yes	maximal, complemented
11	#79400	C₂	1	2	yes	maximal, complemented
12	#79333	C₂	1	1	yes	maximal, characteristic, complemented
13	#79314	C₂	1	1	yes	maximal, characteristic, complemented
14	#79284	C₂	1	1	yes	maximal, characteristic, complemented
15	#79263	C₂	1	1	yes	maximal, characteristic, complemented
16	#78634	C₂	1	1	yes	maximal, characteristic, complemented
17	#78633	C₂	1	1	yes	maximal, characteristic, complemented
18	#78621	C₂	1	1	yes	maximal, characteristic, complemented
19	#78619	C₂	1	1	yes	maximal, characteristic, complemented
20	#78603	C₂	1	1	yes	maximal, characteristic, complemented
21	#78601	C₂	1	1	yes	maximal, characteristic, complemented
22	#78584	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#4718	C₂	1	1	yes	maximal, characteristic, complemented
24	#60290	—	3	1	no	maximal, Sylow
25	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
26	C₂×#939	C₄	1	1	yes	characteristic
27	C₂×#935	C₄	1	1	yes	characteristic
28	C₂×C₄×#67	C₂²	1	1	yes	characteristic
29	C₂×C₄×#67	C₂²	1	1	yes	characteristic
30	C₂×#926	C₂²	1	1	yes	characteristic
31	C₂²×C₄×Dic₃	C₂²	1	1	yes	characteristic
32	#5538	C₄	1	1	yes	characteristic
33	#5538	C₄	1	1	yes	characteristic
34	#5538	C₄	1	1	yes	characteristic
35	#5538	C₄	1	1	yes	characteristic
36	#5538	C₄	1	1	yes	characteristic
37	#5538	C₄	1	1	yes	characteristic
38	#5538	C₄	1	1	yes	characteristic
39	#5538	C₄	1	1	yes	characteristic
40	#5538	C₂²	1	1	yes	characteristic
41	#5538	C₂²	1	1	yes	characteristic
42	#5538	C₂²	1	1	yes	characteristic
43	#5538	C₂²	1	1	yes	characteristic
44	#5538	C₂²	1	1	yes	characteristic
45	#5538	C₂²	1	1	yes	characteristic
46	#5538	C₂²	1	1	yes	characteristic
47	#5538	C₂²	1	1	yes	characteristic
48	C₂×#898	C₄	1	1	yes	characteristic
49	C₂×#889	C₄	1	1	yes	characteristic
50	C₂×#886	C₄	1	1	yes	characteristic
51	C₂×#885	C₄	1	1	yes	characteristic
52	C₂×#879	C₄	1	1	yes	characteristic
53	C₂×#878	C₄	1	1	yes	characteristic
54	C₂×#872	C₂²	1	1	yes	characteristic
55	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
56	C₃×#436	C₂²	1	2	yes	complemented
57	C₃×#435	C₂²	1	2	yes	complemented
58	C₃×#435	C₂²	1	2	yes	complemented
59	C₃×C₈×D₄	C₂²	1	2	yes	complemented
60	C₃×#432	C₂²	1	1	yes	characteristic
61	C₃×#431	C₂²	1	1	yes	characteristic
62	C₃×#407	C₂²	1	1	yes	characteristic
63	C₃×#407	C₂²	1	1	yes	characteristic
64	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
65	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
66	#5207	C₂²	1	1	yes	characteristic
67	#5207	C₂²	1	1	yes	characteristic
68	C₂×#830	C₂²	1	1	yes	characteristic
69	C₂×#830	C₂²	1	1	yes	characteristic
70	#5128	C₂²	1	2	yes	complemented
71	#5128	C₂²	1	2	yes	complemented
72	#5128	C₂²	1	2	yes	complemented
73	#5127	C₂²	1	2	yes	complemented
74	#5122	C₂²	1	2	yes	complemented
75	#5119	C₂²	1	2	yes	complemented
76	#5118	C₂²	1	2	yes	complemented
77	Dic₃×M₁₆	C₂²	1	2	yes	complemented
78	#5111	C₂²	1	2	yes	complemented
79	C₈×#67	C₂²	1	2	yes	complemented
80	C₈×#67	C₂²	1	2	yes	complemented
81	C₈×#67	C₂²	1	2	yes	complemented
82	#5102	C₂²	1	2	yes	complemented
83	#5101	C₂²	1	2	yes	complemented
84	C₂×Dic₃⋊C₈	C₂²	1	2	yes	complemented
85	C₂×C₈×Dic₃	C₂²	1	2	yes	complemented
86	#5012	C₂²	1	2	yes	complemented
87	#5011	C₂²	1	2	yes	complemented
88	#5011	C₂²	1	2	yes	complemented
89	D₄×C₃⋊C₈	C₂²	1	2	yes	complemented
90	#4926	C₂²	1	1	yes	characteristic
91	#4925	C₂²	1	1	yes	characteristic
92	#4840	C₂²	1	2	yes	complemented
93	#4840	C₂²	1	2	yes	complemented
94	#4839	C₂²	1	2	yes	complemented
95	#4839	C₂²	1	2	yes	complemented
96	#4830	C₂²	1	2	yes	complemented
97	#4830	C₂²	1	2	yes	complemented
98	#4828	C₂²	1	2	yes	complemented
99	#4828	C₂²	1	2	yes	complemented
100	#4730	C₂²	1	2	yes	complemented
101	#4729	C₂²	1	2	yes	complemented
102	#4729	C₂²	1	2	yes	complemented
103	#4729	C₂²	1	2	yes	complemented
104	#4728	C₂²	1	2	yes	complemented
105	#4726	C₂²	1	1	yes	characteristic
106	#4726	C₂²	1	1	yes	characteristic
107	#67⋊C₈	C₂²	1	2	yes	complemented
108	#67⋊C₈	C₂²	1	2	yes	complemented
109	#67⋊C₈	C₂²	1	2	yes	complemented
110	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
111	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
112	#4720	C₂²	1	2	yes	complemented
113	#4720	C₂²	1	2	yes	complemented
114	#4720	C₂²	1	2	yes	complemented
115	#4720	C₂²	1	2	yes	complemented
116	#4719	C₂²	1	1	yes	characteristic
117	#4719	C₂²	1	1	yes	characteristic
118	#4719	C₂²	1	1	yes	characteristic
119	#4719	C₂²	1	1	yes	characteristic
120	#4719	C₂²	1	2	yes	complemented
121	#4718	C₂²	1	1	yes	characteristic
122	#4718	C₂²	1	1	yes	characteristic
123	#4718	C₂²	1	1	yes	characteristic
124	#4718	C₂²	1	1	yes	characteristic
125	#4718	C₂²	1	1	yes	characteristic
126	#4718	C₂²	1	1	yes	characteristic
127	#4718	C₂²	1	1	yes	characteristic
128	#4718	C₂²	1	1	yes	characteristic
129	#4718	C₂²	1	2	yes	complemented
130	#4718	C₂²	1	2	yes	complemented
131	#4718	C₂²	1	2	yes	complemented
132	#4709	C₂²	1	2	yes	complemented
133	#4708	C₂²	1	2	yes	complemented
134	#4701	C₂²	1	2	yes	complemented
135	#4701	C₂²	1	2	yes	complemented
136	#4690	C₂²	1	2	yes	complemented
137	#4689	C₂²	1	2	yes	complemented
138	C₈×Dic₆	C₂²	1	2	yes	complemented
139	C₈×Dic₆	C₂²	1	2	yes	complemented
140	C₂×#529	—	3	1	no	—
141	#2994	—	3	2	no	—
142	#2994	—	3	2	no	—
143	#2993	—	3	2	no	—
144	#2993	—	3	2	no	—
145	#2983	—	3	1	no	—
146	#2982	—	3	1	no	—
147	#2975	—	3	1	no	—
148	#2974	—	3	1	no	—
149	#2974	—	3	1	no	—
150	#2974	—	3	1	no	—
151	#2974	D₃	1	1	yes	characteristic, complemented
152	#2972	—	3	1	no	—
153	#2969	—	3	2	no	—
154	#2969	—	3	2	no	—
155	#2966	—	3	2	no	—
156	#2966	—	3	2	no	—
157	#2924	—	3	1	no	—
158	#2924	—	3	1	no	—
159	#2924	—	3	1	no	—
160	#2924	—	3	1	no	—
161	#2920	—	3	1	no	—
162	C₂×#431	—	3	1	no	—
163	C₂²×C₃×D₄	C₂×C₄	1	1	yes	characteristic
164	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
165	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
166	C₂²×#67	C₂×C₄	1	1	yes	characteristic
167	C₂²×#67	C₂×C₄	1	1	yes	characteristic
168	C₂³×Dic₃	C₂×C₄	1	1	yes	characteristic
169	C₂³×Dic₃	C₂×C₄	1	1	yes	characteristic
170	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
171	C₂²×Dic₆	C₂×C₄	1	1	yes	characteristic
172	C₂×C₃×M₁₆	C₂³	1	2	yes	—
173	C₂×C₃×M₁₆	C₂³	1	2	yes	—
174	C₂²×C₃×C₈	C₂³	1	2	yes	—
175	C₂²×C₃×C₈	C₂³	1	2	yes	—
176	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
177	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
178	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
179	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
180	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
181	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
182	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
183	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
184	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
185	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
186	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
187	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
188	C₂×#217	C₂×C₄	1	1	yes	characteristic
189	C₂×#217	C₂×C₄	1	1	yes	characteristic
190	C₂×#217	C₂×C₄	1	1	yes	characteristic
191	C₂×#217	C₂×C₄	1	1	yes	characteristic
192	#939	C₂×C₄	1	1	yes	characteristic
193	#939	C₂×C₄	1	1	yes	characteristic
194	#939	C₂×C₄	1	1	yes	characteristic
195	#939	C₂×C₄	1	1	yes	characteristic
196	#939	C₂×C₄	1	1	yes	characteristic
197	#939	C₂×C₄	1	1	yes	characteristic
198	#939	C₂×C₄	1	1	yes	characteristic
199	#939	C₂×C₄	1	1	yes	characteristic
200	#935	C₂×C₄	1	1	yes	characteristic
201	#935	C₂×C₄	1	1	yes	characteristic
202	#935	C₂×C₄	1	1	yes	characteristic
203	#935	C₂×C₄	1	1	yes	characteristic
204	#935	C₂×C₄	1	1	yes	characteristic
205	#935	C₂×C₄	1	1	yes	characteristic
206	#935	C₂×C₄	1	1	yes	characteristic
207	#935	C₂×C₄	1	1	yes	characteristic
208	C₄×#67	C₂×C₄	1	1	yes	characteristic
209	C₄×#67	C₂×C₄	1	1	yes	characteristic
210	C₄×#67	C₂×C₄	1	1	yes	characteristic
211	C₄×#67	C₂×C₄	1	1	yes	characteristic
212	C₄×#67	C₂×C₄	1	1	yes	characteristic
213	C₄×#67	C₂×C₄	1	1	yes	characteristic
214	C₄×#67	C₂×C₄	1	1	yes	characteristic
215	C₄×#67	C₂×C₄	1	1	yes	characteristic
216	C₄×#67	C₂³	1	1	yes	characteristic
217	C₄×#67	C₂³	1	1	yes	characteristic
218	C₄×#67	C₂³	1	1	yes	characteristic
219	C₄×#67	C₂³	1	1	yes	characteristic
220	C₄×#67	C₂³	1	1	yes	characteristic
221	C₄×#67	C₂³	1	1	yes	characteristic
222	C₄×#67	C₂³	1	1	yes	characteristic
223	C₄×#67	C₂³	1	1	yes	characteristic
224	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
225	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
226	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
227	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
228	#926	C₂×C₄	1	1	yes	characteristic
229	#926	C₂×C₄	1	1	yes	characteristic
230	#926	C₂×C₄	1	1	yes	characteristic
231	#926	C₂×C₄	1	1	yes	characteristic
232	#926	C₂³	1	1	yes	characteristic
233	#926	C₂³	1	1	yes	characteristic
234	#926	C₂³	1	1	yes	characteristic
235	#926	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
237	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
238	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
239	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
240	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
241	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
242	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
243	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
244	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
245	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
246	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
247	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
248	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
249	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
250	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
251	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
252	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
258	C₂×#208	C₂³	1	2	yes	—
259	C₂×#208	C₂³	1	2	yes	—
260	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
261	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
262	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
263	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
264	C₂×D₃×C₈	C₂³	1	2	yes	—
265	C₂×D₃×C₈	C₂³	1	2	yes	—
266	#898	C₂×C₄	1	1	yes	characteristic
267	#898	C₂×C₄	1	1	yes	characteristic
268	#898	C₂×C₄	1	1	yes	characteristic
269	#898	C₂×C₄	1	1	yes	characteristic
270	#898	C₂×C₄	1	1	yes	characteristic
271	#898	C₂×C₄	1	1	yes	characteristic
272	#898	C₂×C₄	1	1	yes	characteristic
273	#898	C₂×C₄	1	1	yes	characteristic
274	#889	C₂×C₄	1	1	yes	characteristic
275	#889	C₂×C₄	1	1	yes	characteristic
276	#889	C₂×C₄	1	1	yes	characteristic
277	#889	C₂×C₄	1	1	yes	characteristic
278	#889	C₂×C₄	1	1	yes	characteristic
279	#889	C₂×C₄	1	1	yes	characteristic
280	#889	C₂×C₄	1	1	yes	characteristic
281	#889	C₂×C₄	1	1	yes	characteristic
282	#886	C₂×C₄	1	1	yes	characteristic
283	#886	C₂×C₄	1	1	yes	characteristic
284	#886	C₂×C₄	1	1	yes	characteristic
285	#886	C₂×C₄	1	1	yes	characteristic
286	#886	C₂×C₄	1	1	yes	characteristic
287	#886	C₂×C₄	1	1	yes	characteristic
288	#886	C₂×C₄	1	1	yes	characteristic
289	#886	C₂×C₄	1	1	yes	characteristic
290	#885	C₂×C₄	1	1	yes	characteristic
291	#885	C₂×C₄	1	1	yes	characteristic
292	#885	C₂×C₄	1	1	yes	characteristic
293	#885	C₂×C₄	1	1	yes	characteristic
294	#885	C₂×C₄	1	1	yes	characteristic
295	#885	C₂×C₄	1	1	yes	characteristic
296	#885	C₂×C₄	1	1	yes	characteristic
297	#885	C₂×C₄	1	1	yes	characteristic
298	#879	C₂×C₄	1	1	yes	characteristic
299	#879	C₂×C₄	1	1	yes	characteristic
300	#879	C₂×C₄	1	1	yes	characteristic
301	#879	C₂×C₄	1	1	yes	characteristic
302	#879	C₂×C₄	1	1	yes	characteristic
303	#879	C₂×C₄	1	1	yes	characteristic
304	#879	C₂×C₄	1	1	yes	characteristic
305	#879	C₂×C₄	1	1	yes	characteristic
306	#878	C₂×C₄	1	1	yes	characteristic
307	#878	C₂×C₄	1	1	yes	characteristic
308	#878	C₂×C₄	1	1	yes	characteristic
309	#878	C₂×C₄	1	1	yes	characteristic
310	#878	C₂×C₄	1	1	yes	characteristic
311	#878	C₂×C₄	1	1	yes	characteristic
312	#878	C₂×C₄	1	1	yes	characteristic
313	#878	C₂×C₄	1	1	yes	characteristic
314	#872	C₂×C₄	1	1	yes	characteristic
315	#872	C₂×C₄	1	1	yes	characteristic
316	#872	C₂×C₄	1	1	yes	characteristic
317	#872	C₂×C₄	1	1	yes	characteristic
318	#872	C₂³	1	1	yes	characteristic
319	#872	C₂³	1	1	yes	characteristic
320	#872	C₂³	1	1	yes	characteristic
321	#872	C₂³	1	1	yes	characteristic
322	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
323	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
324	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
325	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
326	C₄×Dic₆	C₂³	1	1	yes	characteristic
327	C₄×Dic₆	C₂³	1	1	yes	characteristic
328	C₄×Dic₆	C₂³	1	1	yes	characteristic
329	C₄×Dic₆	C₂³	1	1	yes	characteristic
330	C₃×C₄⋊C₈	C₂³	1	2	yes	—
331	C₃×C₄⋊C₈	C₂³	1	2	yes	—
332	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₃×#97	C₂³	1	2	yes	—
341	C₃×C₄×C₈	C₂³	1	2	yes	—
342	#830	C₂³	1	2	yes	—
343	#830	C₂³	1	2	yes	—
344	#830	C₂³	1	1	yes	characteristic
345	#830	C₂³	1	1	yes	characteristic
346	#830	C₂³	1	1	yes	characteristic
347	#830	C₂³	1	1	yes	characteristic
348	#830	C₂³	1	2	yes	—
349	#830	C₂³	1	2	yes	—
350	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
351	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
352	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
353	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
354	#815	C₂³	1	2	yes	—
355	#815	C₂³	1	2	yes	—
356	#815	C₂³	1	2	yes	—
357	#815	C₂³	1	2	yes	—
358	Dic₃⋊C₈	C₂³	1	2	yes	—
359	Dic₃⋊C₈	C₂³	1	2	yes	—
360	Dic₃⋊C₈	C₂³	1	2	yes	—
361	Dic₃⋊C₈	C₂³	1	2	yes	—
362	Dic₃⋊C₈	C₂³	1	2	yes	—
363	Dic₃⋊C₈	C₂³	1	2	yes	—
364	Dic₃⋊C₈	C₂³	1	2	yes	—
365	Dic₃⋊C₈	C₂³	1	2	yes	—
366	Dic₃⋊C₈	C₂³	1	2	yes	—
367	Dic₃⋊C₈	C₂³	1	2	yes	—
368	Dic₃⋊C₈	C₂³	1	2	yes	—
369	Dic₃⋊C₈	C₂³	1	2	yes	—
370	C₈×Dic₃	C₂³	1	2	yes	—
371	C₈×Dic₃	C₂³	1	2	yes	—
372	C₈×Dic₃	C₂³	1	2	yes	—
373	C₈×Dic₃	C₂³	1	2	yes	—
374	C₈×Dic₃	C₂³	1	2	yes	—
375	C₈×Dic₃	C₂³	1	2	yes	—
376	C₈×Dic₃	C₂³	1	2	yes	—
377	C₈×Dic₃	C₂³	1	2	yes	—
378	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
379	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
380	#803	C₂³	1	2	yes	—
381	C₄×C₃⋊C₈	C₂³	1	2	yes	—
382	#529	—	3	1	no	—
383	#529	—	3	1	no	—
384	#529	—	3	1	no	—
385	#529	—	3	1	no	—
386	#529	—	3	1	no	—
387	#529	—	3	1	no	—
388	#529	—	3	1	no	—
389	#529	—	3	1	no	—
390	#529	—	3	1	no	—
391	#529	—	3	1	no	—
392	#529	—	3	1	no	—
393	#529	—	3	1	no	—
394	#529	—	3	1	no	—
395	#529	—	3	1	no	—
396	#529	—	3	1	no	—
397	#529	—	3	1	no	—
398	C₂×#126	—	3	1	no	—
399	C₂×#126	—	3	1	no	—
400	C₂×#125	—	3	1	no	—
401	C₂×#124	—	3	1	no	—
402	C₂×#123	—	3	1	no	—
403	C₂×#123	—	3	1	no	—
404	C₂×C₂²⋊Q₈	—	3	1	no	—
405	C₂×#121	—	3	1	no	—
406	C₂×C₄×Q₈	—	3	1	no	—
407	C₂×C₄×D₄	—	3	1	no	—
408	C₂×C₄×D₄	—	3	1	no	—
409	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
410	C₂×#117	—	3	1	no	—
411	C₂×#117	—	3	1	no	—
412	C₂²×C₄²	—	3	1	no	—
413	#446	—	3	2	no	—
414	#446	—	3	2	no	—
415	#446	—	3	2	no	—
416	#446	—	3	2	no	—
417	C₈×Q₈	—	3	2	no	—
418	C₈×Q₈	—	3	2	no	—
419	C₈×Q₈	—	3	2	no	—
420	C₈×Q₈	—	3	2	no	—
421	#436	—	3	2	no	—
422	#436	—	3	2	no	—
423	#436	—	3	2	no	—
424	#436	—	3	2	no	—
425	#436	—	3	2	no	—
426	#436	—	3	2	no	—
427	#436	—	3	2	no	—
428	#436	C₂×D₃	1	2	yes	complemented
429	#435	—	3	2	no	—
430	#435	—	3	2	no	—
431	#435	—	3	2	no	—
432	#435	—	3	2	no	—
433	#435	—	3	2	no	—
434	#435	—	3	2	no	—
435	#435	C₂×D₃	1	2	yes	complemented
436	#435	C₂×D₃	1	2	yes	complemented
437	C₈×D₄	—	3	2	no	—
438	C₈×D₄	—	3	2	no	—
439	C₈×D₄	—	3	2	no	—
440	C₈×D₄	—	3	2	no	—
441	C₈×D₄	—	3	2	no	—
442	C₈×D₄	—	3	2	no	—
443	C₈×D₄	—	3	2	no	—
444	C₈×D₄	C₂×D₃	1	2	yes	complemented
445	#433	—	3	2	no	—
446	#433	—	3	2	no	—
447	#433	—	3	2	no	—
448	#433	—	3	2	no	—
449	#433	—	3	2	no	—
450	#433	—	3	2	no	—
451	#433	—	3	2	no	—
452	#433	—	3	2	no	—
453	#432	—	3	1	no	—
454	#432	—	3	1	no	—
455	#432	—	3	1	no	—
456	#432	—	3	2	no	—
457	#432	—	3	1	no	—
458	#432	—	3	1	no	—
459	#432	C₂×D₃	1	1	yes	characteristic
460	#431	—	3	1	no	—
461	#431	—	3	1	no	—
462	#431	—	3	1	no	—
463	#431	—	3	1	no	—
464	#431	—	3	1	no	—
465	#431	—	3	2	no	—
466	#431	—	3	2	no	—
467	#431	—	3	1	no	—
468	#431	—	3	1	no	—
469	#431	—	3	2	no	—
470	#431	—	3	1	no	—
471	#431	—	3	1	no	—
472	#431	C₂×D₃	1	1	yes	characteristic
473	#424	—	3	2	no	—
474	#424	—	3	2	no	—
475	#424	—	3	2	no	—
476	#424	—	3	2	no	—
477	#423	—	3	2	no	—
478	C₂×C₄⋊C₈	—	3	2	no	—
479	#407	—	3	1	no	—
480	#407	—	3	1	no	—
481	#407	—	3	1	no	—
482	#407	—	3	1	no	—
483	#407	C₂×D₃	1	1	yes	characteristic
484	#407	C₂×D₃	1	1	yes	characteristic
485	C₂×C₂²⋊C₈	—	3	1	no	—
486	C₂×C₂²⋊C₈	—	3	1	no	—
487	C₂×C₂²⋊C₈	—	3	1	no	—
488	C₂×C₂²⋊C₈	—	3	1	no	—
489	C₂×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic
490	C₂×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic
491	#405	—	3	2	no	—
492	#405	—	3	2	no	—
493	#405	—	3	2	no	—
494	#405	—	3	2	no	—
495	C₄×M₁₆	—	3	2	no	—
496	C₂×C₄×C₈	—	3	2	no	—
497	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
498	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
499	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₃×D₄	—	4	2	no	—
501	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
505	C₂²×C₃×C₄	—	4	2	no	—
506	C₂²×C₃×C₄	—	4	2	no	—
507	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
508	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
509	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
510	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
512	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
513	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
515	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
516	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
519	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
520	C₂×#67	—	2	4	no	—
521	C₂×#67	—	4	2	no	—
522	C₂×#67	C₂²×C₄	1	1	yes	characteristic
523	C₂×#67	C₂²×C₄	1	1	yes	characteristic
524	C₂×#67	C₂²×C₄	1	1	yes	characteristic
525	C₂×#67	C₂²×C₄	1	1	yes	characteristic
526	C₂×#67	C₂²×C₄	1	1	yes	characteristic
527	C₂×#67	C₂²×C₄	1	1	yes	characteristic
528	C₂×#67	C₂²×C₄	1	1	yes	characteristic
529	C₂×#67	C₂²×C₄	1	1	yes	characteristic
530	C₂²×Dic₃	—	2	4	no	—
531	C₂²×Dic₃	—	4	2	no	—
532	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
533	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
534	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
535	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
536	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
537	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
538	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
539	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
540	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
541	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
542	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
543	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
544	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
545	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
546	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄×D₃	—	4	2	no	—
548	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
552	C₂×Dic₆	—	2	4	no	—
553	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
554	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
555	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
556	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
557	C₃×M₁₆	—	4	2	no	—
558	C₃×M₁₆	—	4	2	no	—
559	C₂×C₃×C₈	—	4	2	no	—
560	C₂×C₃×C₈	—	4	2	no	—
561	C₂×C₃×C₈	C₂⁴	1	2	yes	—
562	C₂×C₃×C₈	C₂⁴	1	2	yes	—
563	C₂×C₃×C₈	C₂⁴	1	2	yes	—
564	C₂×C₃×C₈	C₂⁴	1	2	yes	—
565	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
578	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
579	C₃×C₄²	C₂⁴	1	1	yes	characteristic
580	C₃×C₄²	C₂⁴	1	1	yes	characteristic
581	#217	C₂²×C₄	1	1	yes	characteristic
582	#217	C₂²×C₄	1	1	yes	characteristic
583	#217	C₂²×C₄	1	1	yes	characteristic
584	#217	C₂²×C₄	1	1	yes	characteristic
585	#217	C₂²×C₄	1	1	yes	characteristic
586	#217	C₂²×C₄	1	1	yes	characteristic
587	#217	C₂²×C₄	1	1	yes	characteristic
588	#217	C₂²×C₄	1	1	yes	characteristic
589	#217	C₂²×C₄	1	1	yes	characteristic
590	#217	C₂²×C₄	1	1	yes	characteristic
591	#217	C₂²×C₄	1	1	yes	characteristic
592	#217	C₂²×C₄	1	1	yes	characteristic
593	#217	C₂²×C₄	1	1	yes	characteristic
594	#217	C₂²×C₄	1	1	yes	characteristic
595	#217	C₂²×C₄	1	1	yes	characteristic
596	#217	C₂²×C₄	1	1	yes	characteristic
597	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
625	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
650	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
651	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
652	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
653	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
654	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
655	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
661	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
663	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
664	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
665	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
666	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
667	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
668	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
669	#208	—	4	2	no	—
670	#208	—	4	2	no	—
671	C₂×C₃⋊C₈	—	4	2	no	—
672	C₂×C₃⋊C₈	—	4	2	no	—
673	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
674	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
675	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
676	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
677	ΓL(1,𝔽₂₅)	—	4	2	no	—
678	ΓL(1,𝔽₂₅)	—	4	2	no	—
679	D₃×C₈	—	4	2	no	—
680	D₃×C₈	—	4	2	no	—
681	C₂²×Q₈	—	3	1	no	—
682	C₂²×D₄	—	3	1	no	—
683	C₂²×D₄	—	3	1	no	—
684	C₂²×D₄	C₄×D₃	1	1	yes	characteristic
685	C₂³×C₄	—	3	1	no	—
686	C₂³×C₄	—	3	1	no	—
687	C₂³×C₄	—	3	1	no	—
688	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
689	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
690	C₂×M₁₆	—	3	2	no	—
691	C₂×M₁₆	—	3	2	no	—
692	C₂×M₁₆	—	3	2	no	—
693	C₂×M₁₆	—	3	2	no	—
694	C₂×M₁₆	C₂²×D₃	1	2	yes	—
695	C₂×M₁₆	C₂²×D₃	1	2	yes	—
696	C₂²×C₈	—	3	2	no	—
697	C₂²×C₈	—	3	2	no	—
698	C₂²×C₈	—	3	2	no	—
699	C₂²×C₈	—	3	2	no	—
700	C₂²×C₈	C₂²×D₃	1	2	yes	—
701	C₂²×C₈	C₂²×D₃	1	2	yes	—
702	#126	—	3	1	no	—
703	#126	—	3	1	no	—
704	#126	—	3	1	no	—
705	#126	—	3	1	no	—
706	#126	—	3	1	no	—
707	#126	—	3	1	no	—
708	#126	—	3	1	no	—
709	#126	—	3	1	no	—
710	#126	—	3	1	no	—
711	#126	—	3	1	no	—
712	#126	—	3	1	no	—
713	#126	—	3	1	no	—
714	#126	—	3	1	no	—
715	#126	—	3	1	no	—
716	#126	—	3	1	no	—
717	#126	—	3	1	no	—
718	#125	—	3	1	no	—
719	#125	—	3	1	no	—
720	#125	—	3	1	no	—
721	#125	—	3	1	no	—
722	#125	—	3	1	no	—
723	#125	—	3	1	no	—
724	#125	—	3	1	no	—
725	#125	—	3	1	no	—
726	#124	—	3	1	no	—
727	#124	—	3	1	no	—
728	#124	—	3	1	no	—
729	#124	—	3	1	no	—
730	#124	—	3	1	no	—
731	#124	—	3	1	no	—
732	#124	—	3	1	no	—
733	#124	—	3	1	no	—
734	#123	—	3	1	no	—
735	#123	—	3	1	no	—
736	#123	—	3	1	no	—
737	#123	—	3	1	no	—
738	#123	—	3	1	no	—
739	#123	—	3	1	no	—
740	#123	—	3	1	no	—
741	#123	—	3	1	no	—
742	#123	—	3	1	no	—
743	#123	—	3	1	no	—
744	#123	—	3	1	no	—
745	#123	—	3	1	no	—
746	#123	—	3	1	no	—
747	#123	—	3	1	no	—
748	#123	—	3	1	no	—
749	#123	—	3	1	no	—
750	C₂²⋊Q₈	—	3	1	no	—
751	C₂²⋊Q₈	—	3	1	no	—
752	C₂²⋊Q₈	—	3	1	no	—
753	C₂²⋊Q₈	—	3	1	no	—
754	C₂²⋊Q₈	—	3	1	no	—
755	C₂²⋊Q₈	—	3	1	no	—
756	C₂²⋊Q₈	—	3	1	no	—
757	C₂²⋊Q₈	—	3	1	no	—
758	#121	—	3	1	no	—
759	#121	—	3	1	no	—
760	#121	—	3	1	no	—
761	#121	—	3	1	no	—
762	#121	—	3	1	no	—
763	#121	—	3	1	no	—
764	#121	—	3	1	no	—
765	#121	—	3	1	no	—
766	C₄×Q₈	—	3	1	no	—
767	C₄×Q₈	—	3	1	no	—
768	C₄×Q₈	—	3	1	no	—
769	C₄×Q₈	—	3	1	no	—
770	C₄×Q₈	—	3	1	no	—
771	C₄×Q₈	—	3	1	no	—
772	C₄×Q₈	—	3	1	no	—
773	C₄×Q₈	—	3	1	no	—
774	C₄×D₄	—	3	1	no	—
775	C₄×D₄	—	3	1	no	—
776	C₄×D₄	—	3	1	no	—
777	C₄×D₄	—	3	1	no	—
778	C₄×D₄	—	3	1	no	—
779	C₄×D₄	—	3	1	no	—
780	C₄×D₄	—	3	1	no	—
781	C₄×D₄	—	3	1	no	—
782	C₄×D₄	—	3	1	no	—
783	C₄×D₄	—	3	1	no	—
784	C₄×D₄	—	3	1	no	—
785	C₄×D₄	—	3	1	no	—
786	C₄×D₄	—	3	1	no	—
787	C₄×D₄	—	3	1	no	—
788	C₄×D₄	—	3	1	no	—
789	C₄×D₄	—	3	1	no	—
790	C₄×D₄	C₄×D₃	1	1	yes	characteristic
791	C₄×D₄	C₄×D₃	1	1	yes	characteristic
792	C₄×D₄	C₄×D₃	1	1	yes	characteristic
793	C₄×D₄	C₄×D₃	1	1	yes	characteristic
794	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
795	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
796	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
797	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
798	#117	—	3	1	no	—
799	#117	—	3	1	no	—
800	#117	—	3	1	no	—
801	#117	—	3	1	no	—
802	#117	—	3	1	no	—
803	#117	—	3	1	no	—
804	#117	—	3	1	no	—
805	#117	—	3	1	no	—
806	#117	—	3	1	no	—
807	#117	—	3	1	no	—
808	#117	—	3	1	no	—
809	#117	—	3	1	no	—
810	#117	—	3	1	no	—
811	#117	—	3	1	no	—
812	#117	—	3	1	no	—
813	#117	—	3	1	no	—
814	C₂×C₄⋊C₄	—	3	1	no	—
815	C₂×C₄⋊C₄	—	3	1	no	—
816	C₂×C₄⋊C₄	—	3	1	no	—
817	C₂×C₄⋊C₄	—	3	1	no	—
818	C₂×C₄⋊C₄	—	3	1	no	—
819	C₂×C₄⋊C₄	—	3	1	no	—
820	C₂×C₄⋊C₄	—	3	1	no	—
821	C₂×C₄⋊C₄	—	3	1	no	—
822	C₂×C₄⋊C₄	—	3	1	no	—
823	C₂×C₄⋊C₄	C₄×D₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	—	3	1	no	—
825	C₂×C₂²⋊C₄	—	3	1	no	—
826	C₂×C₂²⋊C₄	—	3	1	no	—
827	C₂×C₂²⋊C₄	—	3	1	no	—
828	C₂×C₂²⋊C₄	—	3	1	no	—
829	C₂×C₂²⋊C₄	—	3	1	no	—
830	C₂×C₂²⋊C₄	—	3	1	no	—
831	C₂×C₂²⋊C₄	—	3	1	no	—
832	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
833	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
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	—	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	—	3	1	no	—
847	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
848	C₄⋊C₈	—	3	2	no	—
849	C₄⋊C₈	—	3	2	no	—
850	C₄⋊C₈	—	3	2	no	—
851	C₄⋊C₈	—	3	2	no	—
852	C₄⋊C₈	—	3	2	no	—
853	C₄⋊C₈	—	3	2	no	—
854	C₄⋊C₈	—	3	2	no	—
855	C₄⋊C₈	—	3	2	no	—
856	C₄⋊C₈	—	3	2	no	—
857	C₄⋊C₈	—	3	2	no	—
858	C₄⋊C₈	—	3	2	no	—
859	C₄⋊C₈	—	3	2	no	—
860	C₄⋊C₈	—	3	2	no	—
861	C₄⋊C₈	—	3	2	no	—
862	C₄⋊C₈	C₂²×D₃	1	2	yes	—
863	C₄⋊C₈	C₂²×D₃	1	2	yes	—
864	C₂²⋊C₈	—	3	1	no	—
865	C₂²⋊C₈	—	3	1	no	—
866	C₂²⋊C₈	—	3	1	no	—
867	C₂²⋊C₈	—	3	2	no	—
868	C₂²⋊C₈	—	3	2	no	—
869	C₂²⋊C₈	—	3	1	no	—
870	C₂²⋊C₈	—	3	2	no	—
871	C₂²⋊C₈	—	3	2	no	—
872	C₂²⋊C₈	—	3	2	no	—
873	C₂²⋊C₈	—	3	2	no	—
874	C₂²⋊C₈	—	3	2	no	—
875	C₂²⋊C₈	—	3	2	no	—
876	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
877	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
878	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
879	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
880	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
881	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
882	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
883	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
884	#97	—	3	2	no	—
885	#97	—	3	2	no	—
886	#97	—	3	2	no	—
887	#97	—	3	2	no	—
888	#97	—	3	2	no	—
889	#97	C₂²×D₃	1	2	yes	—
890	C₄×C₈	—	3	2	no	—
891	C₄×C₈	—	3	2	no	—
892	C₄×C₈	—	3	2	no	—
893	C₄×C₈	—	3	2	no	—
894	C₄×C₈	—	3	2	no	—
895	C₄×C₈	—	3	2	no	—
896	C₄×C₈	—	3	2	no	—
897	C₄×C₈	—	3	2	no	—
898	C₄×C₈	—	3	2	no	—
899	C₄×C₈	C₂²×D₃	1	2	yes	—
900	C₂³×C₃	—	2	2	no	—
901	C₂³×C₃	—	2	2	no	—
902	C₂³×C₃	—	2	2	no	—
903	C₂³×C₃	—	4	1	no	—
904	C₂³×C₃	—	4	1	no	—
905	C₂³×C₃	—	4	1	no	—
906	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
907	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
908	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
909	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
910	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
911	C₂²×D₃	—	2	2	no	—
912	C₂²×D₃	—	4	1	no	—
913	C₂²×D₃	—	4	1	no	—
914	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
915	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
916	C₃×D₄	—	2	2	no	—
917	C₃×D₄	—	2	2	no	—
918	C₃×D₄	—	4	1	no	—
919	C₃×D₄	—	4	1	no	—
920	C₂×C₃×C₄	—	2	2	no	—
921	C₂×C₃×C₄	—	2	2	no	—
922	C₂×C₃×C₄	—	2	2	no	—
923	C₂×C₃×C₄	—	2	2	no	—
924	C₂×C₃×C₄	—	2	2	no	—
925	C₂×C₃×C₄	—	2	2	no	—
926	C₂×C₃×C₄	—	4	1	no	—
927	C₂×C₃×C₄	—	4	1	no	—
928	C₂×C₃×C₄	—	4	1	no	—
929	C₂×C₃×C₄	—	4	1	no	—
930	C₂×C₃×C₄	—	4	1	no	—
931	C₂×C₃×C₄	—	4	1	no	—
932	C₂×C₃×C₄	—	4	1	no	—
933	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
934	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
935	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
936	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
937	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
938	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
939	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
940	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
941	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
942	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
943	#67	—	2	2	no	—
944	#67	—	2	2	no	—
945	#67	—	2	2	no	—
946	#67	—	2	2	no	—
947	#67	—	2	2	no	—
948	#67	—	2	2	no	—
949	#67	—	4	1	no	—
950	#67	—	4	1	no	—
951	C₂×Dic₃	—	2	2	no	—
952	C₂×Dic₃	—	2	2	no	—
953	C₂×Dic₃	—	2	2	no	—
954	C₂×Dic₃	—	2	2	no	—
955	C₂×Dic₃	—	2	2	no	—
956	C₂×Dic₃	—	2	2	no	—
957	C₂×Dic₃	—	2	2	no	—
958	C₂×Dic₃	—	2	2	no	—
959	C₂×Dic₃	—	4	1	no	—
960	C₂×Dic₃	—	4	1	no	—
961	C₂×Dic₃	—	4	1	no	—
962	C₂×Dic₃	—	4	1	no	—
963	C₂×Dic₃	—	4	1	no	—
964	C₂×Dic₃	—	4	1	no	—
965	C₂×Dic₃	#131	1	4	yes	—
966	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
967	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
968	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
969	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
970	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
971	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
972	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
973	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
974	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
975	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
976	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
977	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
978	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
979	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
980	C₄×D₃	—	2	2	no	—
981	C₄×D₃	—	2	2	no	—
982	C₄×D₃	—	4	1	no	—
983	C₄×D₃	—	4	1	no	—
984	Dic₆	—	2	2	no	—
985	Dic₆	—	2	2	no	—
986	Dic₆	—	2	2	no	—
987	Dic₆	—	2	2	no	—
988	C₃×C₈	—	2	2	no	—
989	C₃×C₈	—	2	2	no	—
990	C₃×C₈	—	2	2	no	—
991	C₃×C₈	—	2	2	no	—
992	C₃⋊C₈	—	2	2	no	—
993	C₃⋊C₈	—	2	2	no	—
994	C₃⋊C₈	—	2	2	no	—
995	C₃⋊C₈	—	2	2	no	—
996	C₂⁴	—	3	1	no	—
997	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
998	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
999	C₂×Q₈	—	3	1	no	—
1000	C₂×Q₈	—	3	1	no	—
1001	C₂×Q₈	—	3	1	no	—
1002	C₂×Q₈	—	3	1	no	—
1003	C₂×Q₈	—	6	4	no	—
1004	C₂×D₄	—	3	1	no	—
1005	C₂×D₄	—	3	1	no	—
1006	C₂×D₄	—	3	1	no	—
1007	C₂×D₄	—	3	1	no	—
1008	C₂×D₄	—	3	1	no	—
1009	C₂×D₄	—	3	1	no	—
1010	C₂×D₄	—	3	1	no	—
1011	C₂×D₄	—	3	1	no	—
1012	C₂×D₄	—	4	2	no	—
1013	C₂×D₄	—	6	4	no	—
1014	C₂×D₄	—	12	2	no	—
1015	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1016	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1017	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1018	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1019	C₂²×C₄	—	3	1	no	—
1020	C₂²×C₄	—	3	1	no	—
1021	C₂²×C₄	—	3	1	no	—
1022	C₂²×C₄	—	3	1	no	—
1023	C₂²×C₄	—	3	1	no	—
1024	C₂²×C₄	—	3	1	no	—
1025	C₂²×C₄	—	3	1	no	—
1026	C₂²×C₄	—	3	1	no	—
1027	C₂²×C₄	—	3	1	no	—
1028	C₂²×C₄	—	3	1	no	—
1029	C₂²×C₄	—	3	1	no	—
1030	C₂²×C₄	—	3	1	no	—
1031	C₂²×C₄	—	3	1	no	—
1032	C₂²×C₄	—	3	1	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	—	4	2	no	—
1039	C₂²×C₄	—	4	2	no	—
1040	C₂²×C₄	—	6	4	no	—
1041	C₂²×C₄	—	12	2	no	—
1042	C₂²×C₄	—	12	2	no	—
1043	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂×C₄×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	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1056	M₁₆	—	4	2	no	—
1057	M₁₆	—	4	2	no	—
1058	M₁₆	—	12	2	no	—
1059	M₁₆	—	12	2	no	—
1060	M₁₆	—	12	2	no	—
1061	M₁₆	—	12	2	no	—
1062	C₂×C₈	—	3	2	no	—
1063	C₂×C₈	—	3	2	no	—
1064	C₂×C₈	—	3	2	no	—
1065	C₂×C₈	—	3	2	no	—
1066	C₂×C₈	—	4	2	no	—
1067	C₂×C₈	—	4	2	no	—
1068	C₂×C₈	—	12	2	no	—
1069	C₂×C₈	—	12	2	no	—
1070	C₂×C₈	—	12	2	no	—
1071	C₂×C₈	—	12	2	no	—
1072	C₂×C₈	C₂³×D₃	1	2	yes	—
1073	C₂×C₈	C₂³×D₃	1	2	yes	—
1074	C₂×C₈	C₂³×D₃	1	2	yes	—
1075	C₂×C₈	C₂³×D₃	1	2	yes	—
1076	C₄⋊C₄	—	3	1	no	—
1077	C₄⋊C₄	—	3	1	no	—
1078	C₄⋊C₄	—	3	1	no	—
1079	C₄⋊C₄	—	3	1	no	—
1080	C₄⋊C₄	—	3	1	no	—
1081	C₄⋊C₄	—	3	1	no	—
1082	C₄⋊C₄	—	3	1	no	—
1083	C₄⋊C₄	—	3	1	no	—
1084	C₄⋊C₄	—	3	1	no	—
1085	C₄⋊C₄	—	3	1	no	—
1086	C₄⋊C₄	—	3	1	no	—
1087	C₄⋊C₄	—	3	1	no	—
1088	C₄⋊C₄	—	3	1	no	—
1089	C₄⋊C₄	—	3	1	no	—
1090	C₄⋊C₄	—	3	1	no	—
1091	C₄⋊C₄	—	3	1	no	—
1092	C₄⋊C₄	—	3	1	no	—
1093	C₄⋊C₄	—	3	1	no	—
1094	C₄⋊C₄	—	3	1	no	—
1095	C₄⋊C₄	—	3	1	no	—
1096	C₄⋊C₄	—	3	1	no	—
1097	C₄⋊C₄	—	3	1	no	—
1098	C₄⋊C₄	—	3	1	no	—
1099	C₄⋊C₄	—	3	1	no	—
1100	C₄⋊C₄	—	3	1	no	—
1101	C₄⋊C₄	—	3	1	no	—
1102	C₄⋊C₄	—	3	1	no	—
1103	C₄⋊C₄	—	3	1	no	—
1104	C₄⋊C₄	—	3	1	no	—
1105	C₄⋊C₄	—	3	1	no	—
1106	C₄⋊C₄	—	3	1	no	—
1107	C₄⋊C₄	—	3	1	no	—
1108	C₄⋊C₄	—	3	1	no	—
1109	C₄⋊C₄	—	3	1	no	—
1110	C₄⋊C₄	—	3	1	no	—
1111	C₄⋊C₄	—	3	1	no	—
1112	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1113	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1114	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1115	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1116	C₂²⋊C₄	—	3	1	no	—
1117	C₂²⋊C₄	—	3	1	no	—
1118	C₂²⋊C₄	—	3	1	no	—
1119	C₂²⋊C₄	—	3	1	no	—
1120	C₂²⋊C₄	—	3	1	no	—
1121	C₂²⋊C₄	—	3	1	no	—
1122	C₂²⋊C₄	—	3	1	no	—
1123	C₂²⋊C₄	—	3	1	no	—
1124	C₂²⋊C₄	—	3	1	no	—
1125	C₂²⋊C₄	—	3	1	no	—
1126	C₂²⋊C₄	—	3	1	no	—
1127	C₂²⋊C₄	—	3	1	no	—
1128	C₂²⋊C₄	—	3	1	no	—
1129	C₂²⋊C₄	—	3	1	no	—
1130	C₂²⋊C₄	—	3	1	no	—
1131	C₂²⋊C₄	—	3	1	no	—
1132	C₂²⋊C₄	—	3	1	no	—
1133	C₂²⋊C₄	—	3	1	no	—
1134	C₂²⋊C₄	—	3	1	no	—
1135	C₂²⋊C₄	—	3	1	no	—
1136	C₂²⋊C₄	—	3	1	no	—
1137	C₂²⋊C₄	—	3	1	no	—
1138	C₂²⋊C₄	—	3	1	no	—
1139	C₂²⋊C₄	—	3	1	no	—
1140	C₂²⋊C₄	—	3	1	no	—
1141	C₂²⋊C₄	—	3	1	no	—
1142	C₂²⋊C₄	—	3	1	no	—
1143	C₂²⋊C₄	—	3	1	no	—
1144	C₂²⋊C₄	—	3	1	no	—
1145	C₂²⋊C₄	—	3	1	no	—
1146	C₂²⋊C₄	—	3	1	no	—
1147	C₂²⋊C₄	—	3	1	no	—
1148	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1149	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1150	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1151	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1152	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1153	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1154	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1156	C₄²	—	3	1	no	—
1157	C₄²	—	3	1	no	—
1158	C₄²	—	3	1	no	—
1159	C₄²	—	3	1	no	—
1160	C₄²	—	3	1	no	—
1161	C₄²	—	3	1	no	—
1162	C₄²	—	3	1	no	—
1163	C₄²	—	3	1	no	—
1164	C₄²	—	3	1	no	—
1165	C₄²	—	3	1	no	—
1166	C₄²	—	3	1	no	—
1167	C₄²	—	3	1	no	—
1168	C₄²	—	3	1	no	—
1169	C₄²	—	3	1	no	—
1170	C₄²	—	3	1	no	—
1171	C₄²	—	3	1	no	—
1172	C₄²	—	3	1	no	—
1173	C₄²	—	3	1	no	—
1174	C₄²	—	3	1	no	—
1175	C₄²	—	3	1	no	—
1176	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1177	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1178	C₄²	C₂³×D₃	1	1	yes	characteristic
1179	C₄²	C₂³×D₃	1	1	yes	characteristic
1180	C₂²×C₃	—	2	1	no	—
1181	C₂²×C₃	—	2	1	no	—
1182	C₂²×C₃	—	2	1	no	—
1183	C₂²×C₃	—	2	1	no	—
1184	C₂²×C₃	—	2	1	no	—
1185	C₂²×C₃	—	2	1	no	—
1186	C₂²×C₃	—	2	1	no	—
1187	C₂²×C₃	—	2	1	no	—
1188	C₂²×C₃	—	2	1	no	—
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	1	no	—
1191	C₂²×C₃	—	2	1	no	—
1192	C₂²×C₃	—	2	1	no	—
1193	C₂²×C₃	—	4	4	no	—
1194	C₂²×C₃	—	8	2	no	—
1195	C₂²×C₃	C₂×#131	1	2	yes	—
1196	C₂²×C₃	#568	1	2	yes	—
1197	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1198	C₂×D₃	—	2	1	no	—
1199	C₂×D₃	—	2	1	no	—
1200	C₂×D₃	—	2	1	no	—
1201	C₂×D₃	—	2	1	no	—
1202	C₂×D₃	—	2	1	no	—
1203	C₂×D₃	—	2	1	no	—
1204	C₂×D₃	—	8	2	no	—
1205	C₃×C₄	—	2	1	no	—
1206	C₃×C₄	—	2	1	no	—
1207	C₃×C₄	—	2	1	no	—
1208	C₃×C₄	—	2	1	no	—
1209	C₃×C₄	—	2	1	no	—
1210	C₃×C₄	—	2	1	no	—
1211	C₃×C₄	—	2	1	no	—
1212	C₃×C₄	—	2	1	no	—
1213	C₃×C₄	—	2	1	no	—
1214	C₃×C₄	#585	1	2	yes	—
1215	Dic₃	—	2	1	no	—
1216	Dic₃	—	2	1	no	—
1217	Dic₃	—	2	1	no	—
1218	Dic₃	—	2	1	no	—
1219	Dic₃	—	2	1	no	—
1220	Dic₃	—	2	1	no	—
1221	Dic₃	—	2	1	no	—
1222	Dic₃	—	2	1	no	—
1223	Dic₃	—	2	1	no	—
1224	Dic₃	—	2	1	no	—
1225	Dic₃	—	2	1	no	—
1226	Dic₃	—	2	1	no	—
1227	Dic₃	C₂×#131	1	2	yes	—
1228	Dic₃	C₂×#131	1	2	yes	—
1229	C₂³	—	2	2	no	—
1230	C₂³	—	2	2	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	3	1	no	—
1233	C₂³	—	3	1	no	—
1234	C₂³	—	4	1	no	—
1235	C₂³	—	4	1	no	—
1236	C₂³	—	4	1	no	—
1237	C₂³	—	6	2	no	—
1238	C₂³	—	12	1	no	—
1239	C₂³	—	12	1	no	—
1240	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1241	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1242	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1243	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1244	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1245	Q₈	—	6	2	no	—
1246	Q₈	—	6	2	no	—
1247	Q₈	—	6	2	no	—
1248	Q₈	—	6	2	no	—
1249	D₄	—	2	2	no	—
1250	D₄	—	2	2	no	—
1251	D₄	—	4	1	no	—
1252	D₄	—	4	1	no	—
1253	D₄	—	6	2	no	—
1254	D₄	—	6	2	no	—
1255	D₄	—	6	2	no	—
1256	D₄	—	6	2	no	—
1257	D₄	—	6	2	no	—
1258	D₄	—	6	2	no	—
1259	D₄	—	12	1	no	—
1260	D₄	—	12	1	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	2	no	—
1267	C₂×C₄	—	3	1	no	—
1268	C₂×C₄	—	3	1	no	—
1269	C₂×C₄	—	3	4	no	—
1270	C₂×C₄	—	3	1	no	—
1271	C₂×C₄	—	3	1	no	—
1272	C₂×C₄	—	3	1	no	—
1273	C₂×C₄	—	3	1	no	—
1274	C₂×C₄	—	3	1	no	—
1275	C₂×C₄	—	3	1	no	—
1276	C₂×C₄	—	3	1	no	—
1277	C₂×C₄	—	3	1	no	—
1278	C₂×C₄	—	3	1	no	—
1279	C₂×C₄	—	3	1	no	—
1280	C₂×C₄	—	3	1	no	—
1281	C₂×C₄	—	3	1	no	—
1282	C₂×C₄	—	4	1	no	—
1283	C₂×C₄	—	4	1	no	—
1284	C₂×C₄	—	4	1	no	—
1285	C₂×C₄	—	4	1	no	—
1286	C₂×C₄	—	4	1	no	—
1287	C₂×C₄	—	4	1	no	—
1288	C₂×C₄	—	4	1	no	—
1289	C₂×C₄	—	6	2	no	—
1290	C₂×C₄	—	6	2	no	—
1291	C₂×C₄	—	6	2	no	—
1292	C₂×C₄	—	6	2	no	—
1293	C₂×C₄	—	6	2	no	—
1294	C₂×C₄	—	6	2	no	—
1295	C₂×C₄	—	6	2	no	—
1296	C₂×C₄	—	6	2	no	—
1297	C₂×C₄	—	6	2	no	—
1298	C₂×C₄	—	6	2	no	—
1299	C₂×C₄	—	12	1	no	—
1300	C₂×C₄	—	12	1	no	—
1301	C₂×C₄	—	12	1	no	—
1302	C₂×C₄	—	12	1	no	—
1303	C₂×C₄	—	12	1	no	—
1304	C₂×C₄	—	12	1	no	—
1305	C₂×C₄	—	12	1	no	—
1306	C₂×C₄	—	12	1	no	—
1307	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1308	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1309	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1310	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1311	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1312	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1313	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1314	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1315	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1316	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1317	C₈	—	2	2	no	—
1318	C₈	—	2	2	no	—
1319	C₈	—	2	2	no	—
1320	C₈	—	2	2	no	—
1321	C₈	—	6	2	no	—
1322	C₈	—	6	2	no	—
1323	C₈	—	6	2	no	—
1324	C₈	—	6	2	no	—
1325	C₂×C₃	—	2	2	no	—
1326	C₂×C₃	—	2	2	no	—
1327	C₂×C₃	—	4	1	no	—
1328	C₂×C₃	—	4	1	no	—
1329	C₂×C₃	—	4	1	no	—
1330	C₂×C₃	#3428	1	1	yes	characteristic
1331	C₂×C₃	C₂²×#131	1	1	yes	characteristic
1332	C₂×C₃	C₂×#568	1	1	yes	characteristic
1333	D₃	—	4	1	no	—
1334	D₃	—	4	1	no	—
1335	C₂²	—	2	1	no	—
1336	C₂²	—	2	1	no	—
1337	C₂²	—	2	1	no	—
1338	C₂²	—	2	1	no	—
1339	C₂²	—	2	1	no	—
1340	C₂²	—	2	1	no	—
1341	C₂²	—	2	1	no	—
1342	C₂²	—	2	1	no	—
1343	C₂²	—	2	1	no	—
1344	C₂²	—	2	1	no	—
1345	C₂²	—	2	1	no	—
1346	C₂²	—	2	1	no	—
1347	C₂²	—	2	1	no	—
1348	C₂²	—	4	4	no	—
1349	C₂²	—	6	1	no	—
1350	C₂²	—	6	1	no	—
1351	C₂²	—	6	1	no	—
1352	C₂²	—	6	1	no	—
1353	C₂²	—	6	1	no	—
1354	C₂²	—	6	1	no	—
1355	C₂²	—	8	2	no	—
1356	C₂²	—	24	2	no	—
1357	C₂²	#5745	1	2	yes	—
1358	C₂²	D₃×#131	1	2	yes	—
1359	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1360	C₄	—	2	1	no	—
1361	C₄	—	2	1	no	—
1362	C₄	—	2	1	no	—
1363	C₄	—	2	1	no	—
1364	C₄	—	2	1	no	—
1365	C₄	—	2	1	no	—
1366	C₄	—	2	1	no	—
1367	C₄	—	2	1	no	—
1368	C₄	—	2	1	no	—
1369	C₄	—	3	2	no	—
1370	C₄	—	3	2	no	—
1371	C₄	—	6	1	no	—
1372	C₄	—	6	1	no	—
1373	C₄	—	6	1	no	—
1374	C₄	—	6	1	no	—
1375	C₄	—	6	1	no	—
1376	C₄	—	6	1	no	—
1377	C₄	—	6	1	no	—
1378	C₄	—	6	1	no	—
1379	C₄	—	6	1	no	—
1380	C₄	—	6	1	no	—
1381	C₄	—	6	1	no	—
1382	C₄	—	6	1	no	—
1383	C₄	#5966	1	2	yes	—
1384	C₃	#60290	1	1	yes	characteristic, complemented, Sylow
1385	C₂	—	2	2	no	—
1386	C₂	—	2	2	no	—
1387	C₂	—	4	1	no	—
1388	C₂	—	4	1	no	—
1389	C₂	—	4	1	no	—
1390	C₂	—	12	1	no	—
1391	C₂	—	12	1	no	—
1392	C₂	#85856	1	1	yes	characteristic
1393	C₂	C₂×#5745	1	1	yes	characteristic
1394	C₂	C₂×D₃×#131	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2974	C₂
prime radical	C₂×#939	C₄
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2974	D₃
hypocenter	C₃	#60290
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2974

Complements

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

N	H ≅ G/N	type
2. C₃×#2974	C₂	semidirect
3. #82303	C₂	semidirect
4. #79525	C₂	semidirect
5. #79520	C₂	semidirect
6. #79466	C₂	semidirect
7. #79465	C₂	semidirect
8. #79459	C₂	semidirect
9. #79454	C₂	semidirect
10. #79409	C₂	semidirect
11. #79400	C₂	semidirect
12. #79333	C₂	semidirect
13. #79314	C₂	semidirect
14. #79284	C₂	semidirect
15. #79263	C₂	semidirect
16. #78634	C₂	semidirect
17. #78633	C₂	semidirect
18. #78621	C₂	semidirect
19. #78619	C₂	semidirect
20. #78603	C₂	semidirect
21. #78601	C₂	semidirect
22. #78584	C₂	semidirect
23. C₂×#4718	C₂	semidirect
56. C₃×#436	C₂²	semidirect
57. C₃×#435	C₂²	semidirect
58. C₃×#435	C₂²	semidirect
59. C₃×C₈×D₄	C₂²	semidirect
70. #5128	C₂²	semidirect
71. #5128	C₂²	semidirect
72. #5128	C₂²	semidirect
73. #5127	C₂²	semidirect
74. #5122	C₂²	semidirect
75. #5119	C₂²	semidirect
76. #5118	C₂²	semidirect
77. Dic₃×M₁₆	C₂²	semidirect
78. #5111	C₂²	semidirect
79. C₈×#67	C₂²	semidirect
80. C₈×#67	C₂²	semidirect
81. C₈×#67	C₂²	semidirect
82. #5102	C₂²	semidirect
83. #5101	C₂²	semidirect
84. C₂×Dic₃⋊C₈	C₂²	semidirect
85. C₂×C₈×Dic₃	C₂²	semidirect
86. #5012	C₂²	semidirect
87. #5011	C₂²	semidirect
88. #5011	C₂²	semidirect
89. D₄×C₃⋊C₈	C₂²	semidirect
92. #4840	C₂²	semidirect
93. #4840	C₂²	semidirect
94. #4839	C₂²	semidirect
95. #4839	C₂²	semidirect
96. #4830	C₂²	semidirect
97. #4830	C₂²	semidirect
98. #4828	C₂²	semidirect
99. #4828	C₂²	semidirect
100. #4730	C₂²	semidirect
101. #4729	C₂²	semidirect
102. #4729	C₂²	semidirect
103. #4729	C₂²	semidirect
104. #4728	C₂²	semidirect
107. #67⋊C₈	C₂²	semidirect
108. #67⋊C₈	C₂²	semidirect
109. #67⋊C₈	C₂²	semidirect
112. #4720	C₂²	semidirect
113. #4720	C₂²	semidirect
114. #4720	C₂²	semidirect
115. #4720	C₂²	semidirect
120. #4719	C₂²	semidirect
129. #4718	C₂²	semidirect
130. #4718	C₂²	semidirect
131. #4718	C₂²	semidirect
132. #4709	C₂²	semidirect
133. #4708	C₂²	semidirect
134. #4701	C₂²	semidirect
135. #4701	C₂²	semidirect
136. #4690	C₂²	semidirect
137. #4689	C₂²	semidirect
138. C₈×Dic₆	C₂²	semidirect
139. C₈×Dic₆	C₂²	semidirect
151. #2974	D₃	semidirect
428. #436	C₂×D₃	semidirect
435. #435	C₂×D₃	semidirect
436. #435	C₂×D₃	semidirect
444. C₈×D₄	C₂×D₃	semidirect
1384. C₃	#60290	semidirect

Maximal subgroups

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

subgroup	index
C₂×#5538	2
C₃×#2974	2
#82303	2
#79525	2
#79520	2
#79466	2
#79465	2
#79459	2
#79454	2
#79409	2
#79400	2
#79333	2
#79314	2
#79284	2
#79263	2
#78634	2
#78633	2
#78621	2
#78619	2
#78603	2
#78601	2
#78584	2
C₂×#4718	2
#60290	3