Subgroups — #11660900

Order 768.

1914 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86036	C₂	1	1	yes	maximal, characteristic
2	C₃×#2933	C₂	1	1	yes	maximal, characteristic, complemented
3	#83796	C₂	1	1	yes	maximal, characteristic, complemented
4	#83794	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#5127	C₂	1	1	yes	maximal, characteristic, complemented
6	#83757	C₂	1	1	yes	maximal, characteristic, complemented
7	#82920	C₂	1	1	yes	maximal, characteristic, complemented
8	#79544	C₂	1	1	yes	maximal, characteristic, complemented
9	#79539	C₂	1	1	yes	maximal, characteristic, complemented
10	#79527	C₂	1	1	yes	maximal, characteristic, complemented
11	#79518	C₂	1	1	yes	maximal, characteristic, complemented
12	#79489	C₂	1	1	yes	maximal, characteristic, complemented
13	#79485	C₂	1	1	yes	maximal, characteristic, complemented
14	#79478	C₂	1	1	yes	maximal, characteristic, complemented
15	D₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
16	#79466	C₂	1	1	yes	maximal, characteristic, complemented
17	#79464	C₂	1	1	yes	maximal, characteristic, complemented
18	#79458	C₂	1	1	yes	maximal, characteristic, complemented
19	#79457	C₂	1	1	yes	maximal, characteristic, complemented
20	#79426	C₂	1	1	yes	maximal, characteristic, complemented
21	D₃×C₈×D₄	C₂	1	1	yes	maximal, characteristic, complemented
22	#79409	C₂	1	1	yes	maximal, characteristic, complemented
23	#79402	C₂	1	1	yes	maximal, characteristic, complemented
24	#79084	C₂	1	1	yes	maximal, characteristic, complemented
25	#79082	C₂	1	1	yes	maximal, characteristic, complemented
26	#78665	C₂	1	1	yes	maximal, characteristic, complemented
27	#78664	C₂	1	1	yes	maximal, characteristic, complemented
28	#78605	C₂	1	1	yes	maximal, characteristic, complemented
29	#78601	C₂	1	1	yes	maximal, characteristic, complemented
30	#78558	C₂	1	1	yes	maximal, characteristic, complemented
31	#78556	C₂	1	1	yes	maximal, characteristic, complemented
32	#60310	—	3	1	no	maximal, Sylow
33	C₂×C₃×#131	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
35	C₃×#525	C₂²	1	1	yes	characteristic
36	#5828	C₂²	1	1	yes	characteristic
37	#5828	C₂²	1	1	yes	characteristic
38	#5791	C₂²	1	1	yes	characteristic
39	C₂×C₄×#67	C₂²	1	1	yes	characteristic
40	C₂×#907	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂²×D₃×C₈	C₂²	1	1	yes	characteristic
43	C₂²×D₃×C₈	C₂²	1	1	yes	characteristic, complemented
44	#5660	C₄	1	1	yes	characteristic
45	#5660	C₄	1	1	yes	characteristic
46	#5657	C₄	1	1	yes	characteristic
47	#5657	C₄	1	1	yes	characteristic
48	#5645	C₄	1	1	yes	characteristic
49	#5638	C₄	1	1	yes	characteristic
50	#5638	C₄	1	1	yes	characteristic
51	#5634	C₄	1	1	yes	characteristic
52	#5613	C₄	1	1	yes	characteristic
53	#5613	C₄	1	1	yes	characteristic
54	#5605	C₄	1	1	yes	characteristic
55	#5602	C₄	1	1	yes	characteristic
56	#5593	C₄	1	1	yes	characteristic
57	#5593	C₄	1	1	yes	characteristic
58	#5589	C₄	1	1	yes	characteristic
59	#5589	C₄	1	1	yes	characteristic
60	#5557	C₂²	1	1	yes	characteristic
61	#5557	C₂²	1	1	yes	characteristic
62	#5547	C₂²	1	1	yes	characteristic
63	#5547	C₂²	1	1	yes	characteristic
64	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
65	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
66	#5538	C₂²	1	1	yes	characteristic
67	#5538	C₂²	1	1	yes	characteristic
68	#5528	C₂²	1	1	yes	characteristic
69	#5528	C₂²	1	1	yes	characteristic
70	C₃×#436	C₂²	1	1	yes	characteristic, complemented
71	C₃×#436	C₂²	1	1	yes	characteristic, complemented
72	C₃×#435	C₂²	1	1	yes	characteristic, complemented
73	C₃×#435	C₂²	1	1	yes	characteristic, complemented
74	C₃×#435	C₂²	1	1	yes	characteristic, complemented
75	C₃×#435	C₂²	1	1	yes	characteristic, complemented
76	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
78	C₃×#424	C₂²	1	1	yes	characteristic, complemented
79	C₃×#408	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
81	C₃×#405	C₂²	1	1	yes	characteristic, complemented
82	#5234	C₂²	1	1	yes	characteristic, complemented
83	#5234	C₂²	1	1	yes	characteristic, complemented
84	C₂×#830	C₂²	1	1	yes	characteristic, complemented
85	C₂×#830	C₂²	1	1	yes	characteristic, complemented
86	#5129	C₂²	1	1	yes	characteristic, complemented
87	#5128	C₂²	1	1	yes	characteristic, complemented
88	#5128	C₂²	1	1	yes	characteristic, complemented
89	#5128	C₂²	1	1	yes	characteristic, complemented
90	#5127	C₂²	1	1	yes	characteristic, complemented
91	#5127	C₂²	1	1	yes	characteristic, complemented
92	#5127	C₂²	1	1	yes	characteristic, complemented
93	#5127	C₂²	1	1	yes	characteristic, complemented
94	#5127	C₂²	1	1	yes	characteristic, complemented
95	#5127	C₂²	1	1	yes	characteristic, complemented
96	#5127	C₂²	1	1	yes	characteristic, complemented
97	#5127	C₂²	1	1	yes	characteristic, complemented
98	#5127	C₂²	1	1	yes	characteristic, complemented
99	#5127	C₂²	1	1	yes	characteristic, complemented
100	#5127	C₂²	1	1	yes	characteristic, complemented
101	#5127	C₂²	1	1	yes	characteristic, complemented
102	#5127	C₂²	1	1	yes	characteristic, complemented
103	#5126	C₂²	1	1	yes	characteristic, complemented
104	#5122	C₂²	1	1	yes	characteristic, complemented
105	#5122	C₂²	1	1	yes	characteristic, complemented
106	#5119	C₂²	1	1	yes	characteristic, complemented
107	#5119	C₂²	1	1	yes	characteristic, complemented
108	#5111	C₂²	1	1	yes	characteristic, complemented
109	#5111	C₂²	1	1	yes	characteristic, complemented
110	#5111	C₂²	1	1	yes	characteristic, complemented
111	#5111	C₂²	1	1	yes	characteristic, complemented
112	#5111	C₂²	1	1	yes	characteristic, complemented
113	C₈×#67	C₂²	1	1	yes	characteristic, complemented
114	C₈×#67	C₂²	1	1	yes	characteristic, complemented
115	C₈×#67	C₂²	1	1	yes	characteristic, complemented
116	C₈×#67	C₂²	1	1	yes	characteristic, complemented
117	C₈×#67	C₂²	1	1	yes	characteristic, complemented
118	C₈×#67	C₂²	1	1	yes	characteristic, complemented
119	C₈×#67	C₂²	1	1	yes	characteristic, complemented
120	C₈×#67	C₂²	1	1	yes	characteristic, complemented
121	C₈×#67	C₂²	1	1	yes	characteristic, complemented
122	C₈×#67	C₂²	1	1	yes	characteristic, complemented
123	C₈×#67	C₂²	1	1	yes	characteristic, complemented
124	C₂×(C₂×D₃)⋊C₈	C₂²	1	1	yes	characteristic
125	C₂×(C₂×D₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
126	#5102	C₂²	1	1	yes	characteristic, complemented
127	#5101	C₂²	1	1	yes	characteristic, complemented
128	C₂×#815	C₂²	1	1	yes	characteristic, complemented
129	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
130	#5011	C₂²	1	1	yes	characteristic, complemented
131	#5011	C₂²	1	1	yes	characteristic, complemented
132	#5011	C₂²	1	1	yes	characteristic, complemented
133	#5011	C₂²	1	1	yes	characteristic, complemented
134	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
135	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
138	#5000	C₂²	1	1	yes	characteristic, complemented
139	#5000	C₂²	1	1	yes	characteristic, complemented
140	#4840	C₂²	1	1	yes	characteristic, complemented
141	#4840	C₂²	1	1	yes	characteristic, complemented
142	#4839	C₂²	1	1	yes	characteristic, complemented
143	#4839	C₂²	1	1	yes	characteristic, complemented
144	#4836	C₂²	1	1	yes	characteristic, complemented
145	#4836	C₂²	1	1	yes	characteristic, complemented
146	#4835	C₂²	1	1	yes	characteristic, complemented
147	#4834	C₂²	1	1	yes	characteristic, complemented
148	#4834	C₂²	1	1	yes	characteristic, complemented
149	#4833	C₂²	1	1	yes	characteristic, complemented
150	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
152	#4831	C₂²	1	1	yes	characteristic, complemented
153	#4830	C₂²	1	1	yes	characteristic, complemented
154	#4828	C₂²	1	1	yes	characteristic, complemented
155	#4828	C₂²	1	1	yes	characteristic, complemented
156	#4730	C₂²	1	1	yes	characteristic, complemented
157	#4730	C₂²	1	1	yes	characteristic, complemented
158	#4730	C₂²	1	1	yes	characteristic, complemented
159	#4729	C₂²	1	1	yes	characteristic, complemented
160	#4728	C₂²	1	1	yes	characteristic, complemented
161	#4728	C₂²	1	1	yes	characteristic, complemented
162	#4728	C₂²	1	1	yes	characteristic, complemented
163	#4727	C₂²	1	1	yes	characteristic, complemented
164	#4727	C₂²	1	1	yes	characteristic, complemented
165	#4726	C₂²	1	1	yes	characteristic, complemented
166	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
168	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
169	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
170	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
171	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
172	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
173	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
174	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
175	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
176	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
177	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	#4720	C₂²	1	1	yes	characteristic, complemented
181	#4720	C₂²	1	1	yes	characteristic, complemented
182	#4720	C₂²	1	1	yes	characteristic, complemented
183	#4720	C₂²	1	1	yes	characteristic, complemented
184	#4720	C₂²	1	1	yes	characteristic, complemented
185	#4720	C₂²	1	1	yes	characteristic, complemented
186	#4718	C₂²	1	1	yes	characteristic, complemented
187	#4718	C₂²	1	1	yes	characteristic, complemented
188	#4709	C₂²	1	1	yes	characteristic, complemented
189	#4708	C₂²	1	1	yes	characteristic, complemented
190	#4706	C₂²	1	1	yes	characteristic, complemented
191	#4706	C₂²	1	1	yes	characteristic, complemented
192	#4705	C₂²	1	1	yes	characteristic, complemented
193	D₃×#97	C₂²	1	1	yes	characteristic, complemented
194	#4701	C₂²	1	1	yes	characteristic, complemented
195	#4701	C₂²	1	1	yes	characteristic, complemented
196	#4690	C₂²	1	1	yes	characteristic, complemented
197	#4689	C₂²	1	1	yes	characteristic, complemented
198	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
199	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
200	#4685	C₂²	1	1	yes	characteristic, complemented
201	C₄×D₃×C₈	C₂²	1	1	yes	characteristic, complemented
202	#4679	C₂²	1	1	yes	characteristic, complemented
203	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
204	#3459	—	3	1	no	—
205	#2994	—	3	1	no	—
206	#2994	—	3	1	no	—
207	#2994	—	3	1	no	—
208	#2994	—	3	1	no	—
209	#2992	—	3	1	no	—
210	#2992	—	3	1	no	—
211	#2977	—	3	1	no	—
212	#2977	—	3	1	no	—
213	#2977	—	3	1	no	—
214	#2977	—	3	1	no	—
215	#2976	—	3	1	no	—
216	#2976	—	3	1	no	—
217	#2973	—	3	1	no	—
218	#2972	—	3	1	no	—
219	#2972	—	3	1	no	—
220	#2968	—	3	1	no	—
221	#2968	—	3	1	no	—
222	#2968	—	3	1	no	—
223	#2968	—	3	1	no	—
224	#2966	—	3	1	no	—
225	#2966	—	3	1	no	—
226	#2933	—	3	1	no	—
227	#2933	—	3	1	no	—
228	#2933	—	3	1	no	—
229	#2933	D₃	1	1	yes	characteristic, complemented
230	#2929	—	3	1	no	—
231	#2929	—	3	1	no	—
232	C₂×#435	—	3	1	no	—
233	C₂×#435	—	3	1	no	—
234	C₂×C₈×D₄	—	3	1	no	—
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂²×#67	C₂×C₄	1	1	yes	characteristic
238	C₂×D₃×D₄	C₂×C₄	1	1	yes	characteristic
239	C₂×D₃×D₄	C₂×C₄	1	1	yes	characteristic
240	C₂×#235	C₂³	1	1	yes	characteristic
241	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
242	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
244	C₃×#131	—	4	2	no	—
245	C₂×C₃×M₁₆	—	4	2	no	—
246	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
252	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
253	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
254	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
255	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
256	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
257	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
258	C₃×#123	C₂×C₄	1	1	yes	characteristic
259	C₃×#123	C₂×C₄	1	1	yes	characteristic
260	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
261	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
262	C₃×#121	C₂×C₄	1	1	yes	characteristic
263	C₃×#121	C₂×C₄	1	1	yes	characteristic
264	C₃×#120	C₂×C₄	1	1	yes	characteristic
265	C₃×#120	C₂×C₄	1	1	yes	characteristic
266	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₃×#117	C₂³	1	1	yes	characteristic
271	#953	C₂×C₄	1	1	yes	characteristic
272	#953	C₂×C₄	1	1	yes	characteristic
273	C₂×#217	C₂×C₄	1	1	yes	characteristic
274	#946	C₂×C₄	1	1	yes	characteristic
275	#946	C₂×C₄	1	1	yes	characteristic
276	#946	C₂×C₄	1	1	yes	characteristic
277	#946	C₂×C₄	1	1	yes	characteristic
278	#939	C₂×C₄	1	1	yes	characteristic
279	#939	C₂×C₄	1	1	yes	characteristic
280	#939	C₂×C₄	1	1	yes	characteristic
281	#939	C₂×C₄	1	1	yes	characteristic
282	#938	C₂×C₄	1	1	yes	characteristic
283	#938	C₂×C₄	1	1	yes	characteristic
284	#938	C₂×C₄	1	1	yes	characteristic
285	#938	C₂×C₄	1	1	yes	characteristic
286	#938	C₂×C₄	1	1	yes	characteristic
287	#938	C₂×C₄	1	1	yes	characteristic
288	#937	C₂×C₄	1	1	yes	characteristic
289	#937	C₂×C₄	1	1	yes	characteristic
290	#937	C₂×C₄	1	1	yes	characteristic
291	#937	C₂×C₄	1	1	yes	characteristic
292	#937	C₂×C₄	1	1	yes	characteristic
293	#937	C₂×C₄	1	1	yes	characteristic
294	#936	C₂×C₄	1	1	yes	characteristic
295	#936	C₂×C₄	1	1	yes	characteristic
296	#935	C₂×C₄	1	1	yes	characteristic
297	#935	C₂×C₄	1	1	yes	characteristic
298	#935	C₂×C₄	1	1	yes	characteristic
299	#935	C₂×C₄	1	1	yes	characteristic
300	#935	C₂×C₄	1	1	yes	characteristic
301	#935	C₂×C₄	1	1	yes	characteristic
302	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
303	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
304	#930	C₂×C₄	1	1	yes	characteristic
305	#930	C₂×C₄	1	1	yes	characteristic
306	#929	C₂×C₄	1	1	yes	characteristic
307	#929	C₂×C₄	1	1	yes	characteristic
308	C₄×#67	C₂×C₄	1	1	yes	characteristic
309	C₄×#67	C₂×C₄	1	1	yes	characteristic
310	C₄×#67	C₂×C₄	1	1	yes	characteristic
311	C₄×#67	C₂×C₄	1	1	yes	characteristic
312	C₄×#67	C₂³	1	1	yes	characteristic
313	C₄×#67	C₂³	1	1	yes	characteristic
314	C₄×#67	C₂³	1	1	yes	characteristic
315	C₄×#67	C₂³	1	1	yes	characteristic
316	C₄×#67	C₂³	1	1	yes	characteristic
317	C₄×#67	C₂³	1	1	yes	characteristic
318	C₄×#67	C₂³	1	1	yes	characteristic
319	C₄×#67	C₂³	1	1	yes	characteristic
320	C₄×#67	C₂³	1	1	yes	characteristic
321	C₄×#67	C₂³	1	1	yes	characteristic
322	C₄×#67	C₂³	1	1	yes	characteristic
323	C₄×#67	C₂³	1	1	yes	characteristic
324	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
325	#926	C₂³	1	1	yes	characteristic
326	#926	C₂³	1	1	yes	characteristic
327	#926	C₂³	1	1	yes	characteristic
328	#924	C₂×C₄	1	1	yes	characteristic
329	#924	C₂×C₄	1	1	yes	characteristic
330	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
331	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
332	C₂×#208	C₂³	1	1	yes	characteristic
333	C₂×#208	C₂³	1	1	yes	characteristic
334	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
335	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
336	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
337	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
338	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
339	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
340	#907	—	4	2	no	—
341	D₃×M₁₆	—	4	2	no	—
342	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
343	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
344	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
345	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
346	C₂×D₃×C₈	—	4	2	no	—
347	C₂×D₃×C₈	—	4	2	no	—
348	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
349	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
350	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
351	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
352	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
353	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
354	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
355	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
356	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
357	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
358	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
359	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
360	#898	C₂×C₄	1	1	yes	characteristic
361	#898	C₂×C₄	1	1	yes	characteristic
362	#898	C₂×C₄	1	1	yes	characteristic
363	#898	C₂×C₄	1	1	yes	characteristic
364	#897	C₂×C₄	1	1	yes	characteristic
365	#897	C₂×C₄	1	1	yes	characteristic
366	#896	C₂×C₄	1	1	yes	characteristic
367	#896	C₂×C₄	1	1	yes	characteristic
368	#896	C₂×C₄	1	1	yes	characteristic
369	#896	C₂×C₄	1	1	yes	characteristic
370	#894	C₂×C₄	1	1	yes	characteristic
371	#894	C₂×C₄	1	1	yes	characteristic
372	#894	C₂×C₄	1	1	yes	characteristic
373	#894	C₂×C₄	1	1	yes	characteristic
374	#893	C₂×C₄	1	1	yes	characteristic
375	#893	C₂×C₄	1	1	yes	characteristic
376	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
377	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
378	#890	C₂×C₄	1	1	yes	characteristic
379	#890	C₂×C₄	1	1	yes	characteristic
380	#889	C₂×C₄	1	1	yes	characteristic
381	#889	C₂×C₄	1	1	yes	characteristic
382	#889	C₂×C₄	1	1	yes	characteristic
383	#889	C₂×C₄	1	1	yes	characteristic
384	#886	C₂×C₄	1	1	yes	characteristic
385	#886	C₂×C₄	1	1	yes	characteristic
386	#885	C₂×C₄	1	1	yes	characteristic
387	#885	C₂×C₄	1	1	yes	characteristic
388	#885	C₂×C₄	1	1	yes	characteristic
389	#885	C₂×C₄	1	1	yes	characteristic
390	#884	C₂×C₄	1	1	yes	characteristic
391	#884	C₂×C₄	1	1	yes	characteristic
392	#884	C₂×C₄	1	1	yes	characteristic
393	#884	C₂×C₄	1	1	yes	characteristic
394	#883	C₂×C₄	1	1	yes	characteristic
395	#883	C₂×C₄	1	1	yes	characteristic
396	#883	C₂×C₄	1	1	yes	characteristic
397	#883	C₂×C₄	1	1	yes	characteristic
398	#883	C₂×C₄	1	1	yes	characteristic
399	#883	C₂×C₄	1	1	yes	characteristic
400	#883	C₂×C₄	1	1	yes	characteristic
401	#883	C₂×C₄	1	1	yes	characteristic
402	#882	C₂×C₄	1	1	yes	characteristic
403	#882	C₂×C₄	1	1	yes	characteristic
404	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
405	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
406	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
407	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
408	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
409	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
410	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
411	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
412	#879	C₂×C₄	1	1	yes	characteristic
413	#879	C₂×C₄	1	1	yes	characteristic
414	#879	C₂×C₄	1	1	yes	characteristic
415	#879	C₂×C₄	1	1	yes	characteristic
416	#879	C₂×C₄	1	1	yes	characteristic
417	#879	C₂×C₄	1	1	yes	characteristic
418	#879	C₂×C₄	1	1	yes	characteristic
419	#879	C₂×C₄	1	1	yes	characteristic
420	#878	C₂×C₄	1	1	yes	characteristic
421	#878	C₂×C₄	1	1	yes	characteristic
422	#878	C₂×C₄	1	1	yes	characteristic
423	#878	C₂×C₄	1	1	yes	characteristic
424	C₄×D₁₂	C₂³	1	1	yes	characteristic
425	C₄×D₁₂	C₂³	1	1	yes	characteristic
426	#872	C₂³	1	1	yes	characteristic
427	#872	C₂³	1	1	yes	characteristic
428	C₄²×D₃	C₂³	1	1	yes	characteristic
429	C₄²×D₃	C₂³	1	1	yes	characteristic
430	C₄×Dic₆	C₂³	1	1	yes	characteristic
431	C₄×Dic₆	C₂³	1	1	yes	characteristic
432	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
437	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₃×#97	C₂³	1	1	yes	characteristic
445	C₃×#97	C₂³	1	1	yes	characteristic
446	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
447	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
448	#830	C₂³	1	1	yes	characteristic
449	#830	C₂³	1	1	yes	characteristic
450	#830	C₂³	1	1	yes	characteristic
451	#830	C₂³	1	1	yes	characteristic
452	#830	C₂³	1	1	yes	characteristic
453	#830	C₂³	1	1	yes	characteristic
454	#830	C₂³	1	1	yes	characteristic
455	#830	C₂³	1	1	yes	characteristic
456	#830	C₂³	1	1	yes	characteristic
457	#830	C₂³	1	1	yes	characteristic
458	#830	C₂³	1	1	yes	characteristic
459	#830	C₂³	1	1	yes	characteristic
460	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
461	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
462	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
463	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
464	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
465	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
466	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
467	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
468	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
469	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
470	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
471	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
472	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
473	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
474	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
475	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
476	#815	C₂³	1	1	yes	characteristic
477	#815	C₂³	1	1	yes	characteristic
478	#815	C₂³	1	1	yes	characteristic
479	#815	C₂³	1	1	yes	characteristic
480	#815	C₂³	1	1	yes	characteristic
481	#815	C₂³	1	1	yes	characteristic
482	#815	C₂³	1	1	yes	characteristic
483	#815	C₂³	1	1	yes	characteristic
484	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
485	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
486	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
487	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
488	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
489	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
490	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
491	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
492	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
493	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
494	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
495	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
496	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
497	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
498	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
499	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
500	C₈×Dic₃	C₂³	1	1	yes	characteristic
501	C₈×Dic₃	C₂³	1	1	yes	characteristic
502	C₈×Dic₃	C₂³	1	1	yes	characteristic
503	C₈×Dic₃	C₂³	1	1	yes	characteristic
504	C₈×Dic₃	C₂³	1	1	yes	characteristic
505	C₈×Dic₃	C₂³	1	1	yes	characteristic
506	C₈×Dic₃	C₂³	1	1	yes	characteristic
507	C₈×Dic₃	C₂³	1	1	yes	characteristic
508	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
509	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
510	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
511	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
512	#803	C₂³	1	1	yes	characteristic
513	#803	C₂³	1	1	yes	characteristic
514	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
515	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
516	C₂×#131	—	3	1	no	—
517	C₂×#131	C₂×D₃	1	1	yes	characteristic, complemented
518	C₂²×M₁₆	—	3	1	no	—
519	C₂²×M₁₆	C₂×D₃	1	1	yes	characteristic, complemented
520	C₂³×C₈	—	3	1	no	—
521	C₂³×C₈	—	3	1	no	—
522	#543	—	3	1	no	—
523	#539	—	3	1	no	—
524	#539	—	3	1	no	—
525	#539	—	3	1	no	—
526	#539	—	3	1	no	—
527	#539	—	3	1	no	—
528	#539	—	3	1	no	—
529	#538	—	3	1	no	—
530	#538	—	3	1	no	—
531	#538	—	3	1	no	—
532	#538	—	3	1	no	—
533	#538	—	3	1	no	—
534	#538	—	3	1	no	—
535	#534	—	3	1	no	—
536	#534	—	3	1	no	—
537	#534	—	3	1	no	—
538	#529	—	3	1	no	—
539	#529	—	3	1	no	—
540	#529	—	3	1	no	—
541	#529	—	3	1	no	—
542	#529	—	3	1	no	—
543	#529	—	3	1	no	—
544	#525	—	3	1	no	—
545	#525	—	3	1	no	—
546	#525	—	3	1	no	—
547	#525	—	3	1	no	—
548	#525	—	3	1	no	—
549	#525	C₂×D₃	1	1	yes	characteristic
550	C₂×C₄×D₄	—	3	1	no	—
551	C₂×C₄×D₄	—	3	1	no	—
552	C₂×C₄×D₄	—	3	1	no	—
553	#446	—	3	1	no	—
554	#446	—	3	1	no	—
555	#446	—	3	1	no	—
556	#446	—	3	1	no	—
557	#446	—	3	1	no	—
558	#446	—	3	1	no	—
559	C₈×Q₈	—	3	1	no	—
560	C₈×Q₈	—	3	1	no	—
561	#436	—	3	1	no	—
562	#436	—	3	1	no	—
563	#436	—	3	1	no	—
564	#436	—	3	1	no	—
565	#436	C₂×D₃	1	1	yes	characteristic, complemented
566	#436	C₂×D₃	1	1	yes	characteristic, complemented
567	#435	—	3	1	no	—
568	#435	—	3	1	no	—
569	#435	—	3	1	no	—
570	#435	—	3	1	no	—
571	#435	—	3	1	no	—
572	#435	—	3	1	no	—
573	#435	—	3	1	no	—
574	#435	—	3	1	no	—
575	#435	—	3	1	no	—
576	#435	—	3	1	no	—
577	#435	—	3	1	no	—
578	#435	—	3	1	no	—
579	#435	—	3	1	no	—
580	#435	—	3	1	no	—
581	#435	—	3	1	no	—
582	#435	—	3	1	no	—
583	#435	—	3	1	no	—
584	#435	—	3	1	no	—
585	#435	—	3	1	no	—
586	#435	—	3	1	no	—
587	#435	—	3	1	no	—
588	#435	—	3	1	no	—
589	#435	—	3	1	no	—
590	#435	—	3	1	no	—
591	#435	—	3	1	no	—
592	#435	—	3	1	no	—
593	#435	—	3	1	no	—
594	#435	—	3	1	no	—
595	#435	—	3	1	no	—
596	#435	—	3	1	no	—
597	#435	—	3	1	no	—
598	#435	—	3	1	no	—
599	#435	C₂×D₃	1	1	yes	characteristic, complemented
600	#435	C₂×D₃	1	1	yes	characteristic, complemented
601	#435	C₂×D₃	1	1	yes	characteristic, complemented
602	#435	C₂×D₃	1	1	yes	characteristic, complemented
603	C₈×D₄	—	3	1	no	—
604	C₈×D₄	—	3	1	no	—
605	C₈×D₄	—	3	1	no	—
606	C₈×D₄	—	3	1	no	—
607	C₈×D₄	—	3	1	no	—
608	C₈×D₄	—	3	1	no	—
609	C₈×D₄	—	3	1	no	—
610	C₈×D₄	—	3	1	no	—
611	C₈×D₄	—	3	1	no	—
612	C₈×D₄	—	3	1	no	—
613	C₈×D₄	—	3	1	no	—
614	C₈×D₄	—	3	1	no	—
615	C₈×D₄	—	3	1	no	—
616	C₈×D₄	—	3	1	no	—
617	C₈×D₄	—	3	1	no	—
618	C₈×D₄	—	3	1	no	—
619	C₈×D₄	—	3	1	no	—
620	C₈×D₄	—	3	1	no	—
621	C₈×D₄	—	3	1	no	—
622	C₈×D₄	—	3	1	no	—
623	C₈×D₄	—	3	1	no	—
624	C₈×D₄	—	3	1	no	—
625	C₈×D₄	—	3	1	no	—
626	C₈×D₄	—	3	1	no	—
627	C₈×D₄	—	3	1	no	—
628	C₈×D₄	—	3	1	no	—
629	C₈×D₄	—	3	1	no	—
630	C₈×D₄	—	3	1	no	—
631	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
632	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
633	#433	—	3	1	no	—
634	#433	—	3	1	no	—
635	#433	—	3	1	no	—
636	#433	—	3	1	no	—
637	#433	—	3	1	no	—
638	#433	—	3	1	no	—
639	#433	—	3	1	no	—
640	#433	—	3	1	no	—
641	#433	—	3	1	no	—
642	#433	—	3	1	no	—
643	#433	—	3	1	no	—
644	#433	—	3	1	no	—
645	#432	—	3	1	no	—
646	#432	—	3	1	no	—
647	#431	—	3	1	no	—
648	#431	—	3	1	no	—
649	#431	—	3	1	no	—
650	#431	—	3	1	no	—
651	#424	—	3	1	no	—
652	#424	—	3	1	no	—
653	#424	—	3	1	no	—
654	#424	—	3	1	no	—
655	#424	—	3	1	no	—
656	#424	C₂×D₃	1	1	yes	characteristic, complemented
657	C₂×C₄⋊C₈	—	3	1	no	—
658	C₂×C₄⋊C₈	—	3	1	no	—
659	C₂×C₄⋊C₈	—	3	1	no	—
660	#408	—	3	1	no	—
661	#408	—	3	1	no	—
662	#408	—	3	1	no	—
663	#408	—	3	1	no	—
664	#408	—	3	1	no	—
665	#408	C₂×D₃	1	1	yes	characteristic, complemented
666	#407	—	3	1	no	—
667	#407	—	3	1	no	—
668	C₂×C₂²⋊C₈	—	3	1	no	—
669	C₂×C₂²⋊C₈	—	3	1	no	—
670	C₂×C₂²⋊C₈	—	3	1	no	—
671	C₂×C₂²⋊C₈	—	3	1	no	—
672	C₂×C₂²⋊C₈	—	3	1	no	—
673	C₂×C₂²⋊C₈	—	3	1	no	—
674	C₂×C₂²⋊C₈	—	3	1	no	—
675	C₂×C₂²⋊C₈	—	3	1	no	—
676	C₂×C₂²⋊C₈	—	3	1	no	—
677	C₂×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic, complemented
678	#405	—	3	1	no	—
679	#405	—	3	1	no	—
680	#405	—	3	1	no	—
681	#405	—	3	1	no	—
682	#405	—	3	1	no	—
683	#405	C₂×D₃	1	1	yes	characteristic, complemented
684	C₂×#97	—	3	1	no	—
685	C₂×#97	—	3	1	no	—
686	C₂×C₄×C₈	—	3	1	no	—
687	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
688	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
689	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
690	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
691	C₃×#41	—	4	1	no	—
692	C₃×#41	—	4	1	no	—
693	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
701	C₂²×C₃×C₄	—	4	1	no	—
702	C₂²×C₃×C₄	—	4	1	no	—
703	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
707	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
708	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
709	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
710	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
711	C₂×#67	—	2	4	no	—
712	C₂×#67	C₂²×C₄	1	1	yes	characteristic
713	C₂×#67	C₂²×C₄	1	1	yes	characteristic
714	C₂×#67	C₂²×C₄	1	1	yes	characteristic
715	C₂×#67	C₂²×C₄	1	1	yes	characteristic
716	C₂×#67	C₂²×C₄	1	1	yes	characteristic
717	C₂×#67	C₂²×C₄	1	1	yes	characteristic
718	C₂×#67	C₂²×C₄	1	1	yes	characteristic
719	C₂×#67	C₂²×C₄	1	1	yes	characteristic
720	C₂×#67	C₂²×C₄	1	1	yes	characteristic
721	C₂×#67	C₂²×C₄	1	1	yes	characteristic
722	C₂×#67	C₂²×C₄	1	1	yes	characteristic
723	C₂×#67	C₂²×C₄	1	1	yes	characteristic
724	C₂×#67	C₂²×C₄	1	1	yes	characteristic
725	C₂×#67	C₂²×C₄	1	1	yes	characteristic
726	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
727	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
728	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
729	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
730	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
731	D₃×D₄	—	2	4	no	—
732	D₃×D₄	—	2	4	no	—
733	#235	—	4	1	no	—
734	#235	—	4	1	no	—
735	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
736	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
737	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₄×D₃	—	4	1	no	—
739	C₂×C₄×D₃	—	4	1	no	—
740	C₂×C₄×D₃	—	4	1	no	—
741	C₂×C₄×D₃	—	4	1	no	—
742	C₂×C₄×D₃	—	4	1	no	—
743	C₂×C₄×D₃	—	4	1	no	—
744	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
745	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
746	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
747	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
748	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
749	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
750	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
751	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
752	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
753	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
754	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
755	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
756	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
757	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
758	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
759	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
760	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
761	C₃×M₁₆	—	2	2	no	—
762	C₃×M₁₆	—	2	2	no	—
763	C₃×M₁₆	—	2	2	no	—
764	C₃×M₁₆	—	4	1	no	—
765	C₃×M₁₆	—	4	1	no	—
766	C₃×M₁₆	—	4	1	no	—
767	C₂×C₃×C₈	—	2	2	no	—
768	C₂×C₃×C₈	—	2	2	no	—
769	C₂×C₃×C₈	—	4	1	no	—
770	C₂×C₃×C₈	—	4	1	no	—
771	C₂×C₃×C₈	—	4	1	no	—
772	C₂×C₃×C₈	—	4	1	no	—
773	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
774	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
775	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
776	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
777	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
778	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
779	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
780	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
781	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
782	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
783	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
784	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
785	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
786	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
787	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
788	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
789	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
793	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	C₃×C₄²	C₂⁴	1	1	yes	characteristic
798	C₃×C₄²	C₂⁴	1	1	yes	characteristic
799	#217	C₂²×C₄	1	1	yes	characteristic
800	#217	C₂²×C₄	1	1	yes	characteristic
801	#217	C₂²×C₄	1	1	yes	characteristic
802	#217	C₂²×C₄	1	1	yes	characteristic
803	#217	C₂²×C₄	1	1	yes	characteristic
804	#217	C₂²×C₄	1	1	yes	characteristic
805	#217	C₂²×C₄	1	1	yes	characteristic
806	#217	C₂²×C₄	1	1	yes	characteristic
807	#217	C₂²×C₄	1	1	yes	characteristic
808	#217	C₂²×C₄	1	1	yes	characteristic
809	#217	C₂²×C₄	1	1	yes	characteristic
810	#217	C₂²×C₄	1	1	yes	characteristic
811	#217	C₂²×C₄	1	1	yes	characteristic
812	#217	C₂²×C₄	1	1	yes	characteristic
813	#217	C₂²×C₄	1	1	yes	characteristic
814	#217	C₂²×C₄	1	1	yes	characteristic
815	#217	C₂²×C₄	1	1	yes	characteristic
816	#217	C₂²×C₄	1	1	yes	characteristic
817	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
818	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
819	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
820	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
821	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
822	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
823	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
824	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
825	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
826	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
827	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
828	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
829	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
830	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
831	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
832	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
833	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
834	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
835	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
836	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
837	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
838	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
839	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
840	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
841	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
842	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
843	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
844	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
845	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
846	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
847	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
848	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
849	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
850	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
851	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
852	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
853	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
854	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
855	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
856	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
857	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
858	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
859	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
860	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
861	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
862	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
863	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
864	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
865	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
866	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
867	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
868	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
869	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
870	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
871	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
872	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
873	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
874	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
875	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
876	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
877	#208	—	4	1	no	—
878	#208	—	4	1	no	—
879	C₂×C₃⋊C₈	—	4	1	no	—
880	C₂×C₃⋊C₈	—	4	1	no	—
881	C₂×C₃⋊C₈	—	4	1	no	—
882	C₂×C₃⋊C₈	—	4	1	no	—
883	C₂×C₃⋊C₈	—	4	1	no	—
884	C₂×C₃⋊C₈	—	4	1	no	—
885	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
886	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
887	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
888	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
889	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
890	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
891	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
892	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
893	ΓL(1,𝔽₂₅)	—	2	2	no	—
894	ΓL(1,𝔽₂₅)	—	4	1	no	—
895	ΓL(1,𝔽₂₅)	—	4	1	no	—
896	ΓL(1,𝔽₂₅)	—	4	1	no	—
897	D₃×C₈	—	2	2	no	—
898	D₃×C₈	—	2	2	no	—
899	D₃×C₈	—	2	2	no	—
900	D₃×C₈	—	4	1	no	—
901	D₃×C₈	—	4	1	no	—
902	D₃×C₈	—	4	1	no	—
903	D₃×C₈	—	4	1	no	—
904	D₃×C₈	—	4	1	no	—
905	D₃×C₈	—	4	1	no	—
906	D₃×C₈	—	4	1	no	—
907	D₃×C₈	—	4	1	no	—
908	D₃×C₈	—	4	1	no	—
909	C₂×#41	—	3	1	no	—
910	C₂×#41	C₂²×D₃	1	1	yes	characteristic
911	C₂²×D₄	—	3	1	no	—
912	C₂²×D₄	—	3	1	no	—
913	C₂²×D₄	—	3	1	no	—
914	C₂³×C₄	—	3	1	no	—
915	C₂³×C₄	—	3	1	no	—
916	C₂³×C₄	—	3	1	no	—
917	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
918	#131	—	4	2	no	—
919	#131	—	12	2	no	—
920	C₂×M₁₆	—	3	1	no	—
921	C₂×M₁₆	—	3	1	no	—
922	C₂×M₁₆	—	3	1	no	—
923	C₂×M₁₆	—	3	1	no	—
924	C₂×M₁₆	—	3	1	no	—
925	C₂×M₁₆	—	3	1	no	—
926	C₂×M₁₆	—	4	2	no	—
927	C₂×M₁₆	—	12	2	no	—
928	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
929	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
930	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
931	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
932	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
933	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
934	C₂²×C₈	—	3	1	no	—
935	C₂²×C₈	—	3	1	no	—
936	C₂²×C₈	—	3	1	no	—
937	C₂²×C₈	—	3	1	no	—
938	C₂²×C₈	—	3	1	no	—
939	C₂²×C₈	—	3	1	no	—
940	C₂²×C₈	—	3	1	no	—
941	C₂²×C₈	—	3	1	no	—
942	C₂²×C₈	—	3	1	no	—
943	C₂²×C₈	—	3	1	no	—
944	C₂²×C₈	—	3	1	no	—
945	C₂²×C₈	—	3	1	no	—
946	C₂²×C₈	—	3	1	no	—
947	C₂²×C₈	—	3	1	no	—
948	C₂²×C₈	—	3	1	no	—
949	C₂²×C₈	—	3	1	no	—
950	C₂²×C₈	—	3	1	no	—
951	C₂²×C₈	—	3	1	no	—
952	C₂²×C₈	—	12	2	no	—
953	C₂²×C₈	—	12	2	no	—
954	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
955	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
956	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
957	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
958	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
959	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
960	#126	—	3	1	no	—
961	#126	—	3	1	no	—
962	#126	—	3	1	no	—
963	#126	—	3	1	no	—
964	#126	—	3	1	no	—
965	#126	—	3	1	no	—
966	#126	—	3	1	no	—
967	#126	—	3	1	no	—
968	#126	—	3	1	no	—
969	#126	—	3	1	no	—
970	#126	—	3	1	no	—
971	#126	—	3	1	no	—
972	#125	—	3	1	no	—
973	#125	—	3	1	no	—
974	#125	—	3	1	no	—
975	#125	—	3	1	no	—
976	#125	—	3	1	no	—
977	#125	—	3	1	no	—
978	#124	—	3	1	no	—
979	#124	—	3	1	no	—
980	#124	—	3	1	no	—
981	#124	—	3	1	no	—
982	#124	—	3	1	no	—
983	#124	—	3	1	no	—
984	#123	—	3	1	no	—
985	#123	—	3	1	no	—
986	#123	—	3	1	no	—
987	#123	—	3	1	no	—
988	#123	—	3	1	no	—
989	#123	—	3	1	no	—
990	#123	—	3	1	no	—
991	#123	—	3	1	no	—
992	#123	—	3	1	no	—
993	#123	—	3	1	no	—
994	#123	—	3	1	no	—
995	#123	—	3	1	no	—
996	#123	—	3	1	no	—
997	#123	—	3	1	no	—
998	#123	—	3	1	no	—
999	#123	—	3	1	no	—
1000	#123	—	3	1	no	—
1001	#123	—	3	1	no	—
1002	#123	—	3	1	no	—
1003	#123	—	3	1	no	—
1004	#123	—	3	1	no	—
1005	#123	—	3	1	no	—
1006	#123	C₄×D₃	1	1	yes	characteristic
1007	#123	C₄×D₃	1	1	yes	characteristic
1008	C₂²⋊Q₈	—	3	1	no	—
1009	C₂²⋊Q₈	—	3	1	no	—
1010	C₂²⋊Q₈	—	3	1	no	—
1011	C₂²⋊Q₈	—	3	1	no	—
1012	C₂²⋊Q₈	—	3	1	no	—
1013	C₂²⋊Q₈	—	3	1	no	—
1014	C₂²⋊Q₈	—	3	1	no	—
1015	C₂²⋊Q₈	—	3	1	no	—
1016	C₂²⋊Q₈	—	3	1	no	—
1017	C₂²⋊Q₈	—	3	1	no	—
1018	C₂²⋊Q₈	—	3	1	no	—
1019	C₂²⋊Q₈	—	3	1	no	—
1020	C₂²⋊Q₈	—	3	1	no	—
1021	C₂²⋊Q₈	—	3	1	no	—
1022	C₂²⋊Q₈	—	3	1	no	—
1023	C₂²⋊Q₈	—	3	1	no	—
1024	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
1025	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
1026	#121	—	3	1	no	—
1027	#121	—	3	1	no	—
1028	#121	—	3	1	no	—
1029	#121	—	3	1	no	—
1030	#121	—	3	1	no	—
1031	#121	—	3	1	no	—
1032	#121	—	3	1	no	—
1033	#121	—	3	1	no	—
1034	#121	—	3	1	no	—
1035	#121	—	3	1	no	—
1036	#121	—	3	1	no	—
1037	#121	—	3	1	no	—
1038	#121	—	3	1	no	—
1039	#121	—	3	1	no	—
1040	#121	—	3	1	no	—
1041	#121	—	3	1	no	—
1042	#121	C₄×D₃	1	1	yes	characteristic
1043	#121	C₄×D₃	1	1	yes	characteristic
1044	#120	—	3	1	no	—
1045	#120	—	3	1	no	—
1046	#120	—	3	1	no	—
1047	#120	—	3	1	no	—
1048	#120	—	3	1	no	—
1049	#120	—	3	1	no	—
1050	#120	—	3	1	no	—
1051	#120	—	3	1	no	—
1052	#120	—	3	1	no	—
1053	#120	—	3	1	no	—
1054	#120	C₄×D₃	1	1	yes	characteristic
1055	#120	C₄×D₃	1	1	yes	characteristic
1056	C₄×Q₈	—	3	1	no	—
1057	C₄×Q₈	—	3	1	no	—
1058	C₄×D₄	—	3	1	no	—
1059	C₄×D₄	—	3	1	no	—
1060	C₄×D₄	—	3	1	no	—
1061	C₄×D₄	—	3	1	no	—
1062	C₄×D₄	—	3	1	no	—
1063	C₄×D₄	—	3	1	no	—
1064	C₄×D₄	—	3	1	no	—
1065	C₄×D₄	—	3	1	no	—
1066	C₄×D₄	—	3	1	no	—
1067	C₄×D₄	—	3	1	no	—
1068	C₄×D₄	—	3	1	no	—
1069	C₄×D₄	—	3	1	no	—
1070	C₄×D₄	—	3	1	no	—
1071	C₄×D₄	—	3	1	no	—
1072	C₄×D₄	—	3	1	no	—
1073	C₄×D₄	—	3	1	no	—
1074	C₄×D₄	—	3	1	no	—
1075	C₄×D₄	—	3	1	no	—
1076	C₄×D₄	—	3	1	no	—
1077	C₄×D₄	—	3	1	no	—
1078	C₄×D₄	—	3	1	no	—
1079	C₄×D₄	—	3	1	no	—
1080	C₄×D₄	—	3	1	no	—
1081	C₄×D₄	—	3	1	no	—
1082	C₄×D₄	—	3	1	no	—
1083	C₄×D₄	—	3	1	no	—
1084	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1085	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1086	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1087	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1088	#117	—	3	1	no	—
1089	#117	—	3	1	no	—
1090	#117	—	3	1	no	—
1091	#117	—	3	1	no	—
1092	#117	—	3	1	no	—
1093	#117	C₂²×D₃	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	—	3	1	no	—
1095	C₂×C₄⋊C₄	—	3	1	no	—
1096	C₂×C₄⋊C₄	—	3	1	no	—
1097	C₂×C₂²⋊C₄	—	3	1	no	—
1098	C₂×C₂²⋊C₄	—	3	1	no	—
1099	C₂×C₂²⋊C₄	—	3	1	no	—
1100	C₂×C₂²⋊C₄	—	3	1	no	—
1101	C₂×C₂²⋊C₄	—	3	1	no	—
1102	C₂×C₂²⋊C₄	—	3	1	no	—
1103	C₂×C₄²	—	3	1	no	—
1104	C₂×C₄²	—	3	1	no	—
1105	C₂×C₄²	—	3	1	no	—
1106	C₄⋊C₈	—	3	1	no	—
1107	C₄⋊C₈	—	3	1	no	—
1108	C₄⋊C₈	—	3	1	no	—
1109	C₄⋊C₈	—	3	1	no	—
1110	C₄⋊C₈	—	3	1	no	—
1111	C₄⋊C₈	—	3	1	no	—
1112	C₄⋊C₈	—	3	1	no	—
1113	C₄⋊C₈	—	3	1	no	—
1114	C₄⋊C₈	—	3	1	no	—
1115	C₄⋊C₈	—	3	1	no	—
1116	C₄⋊C₈	—	3	1	no	—
1117	C₄⋊C₈	—	3	1	no	—
1118	C₄⋊C₈	—	3	1	no	—
1119	C₄⋊C₈	—	3	1	no	—
1120	C₄⋊C₈	—	3	1	no	—
1121	C₄⋊C₈	—	3	1	no	—
1122	C₄⋊C₈	—	3	1	no	—
1123	C₄⋊C₈	—	3	1	no	—
1124	C₄⋊C₈	—	3	1	no	—
1125	C₄⋊C₈	—	3	1	no	—
1126	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1127	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1128	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1129	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1130	C₂²⋊C₈	—	3	1	no	—
1131	C₂²⋊C₈	—	3	1	no	—
1132	C₂²⋊C₈	—	3	1	no	—
1133	C₂²⋊C₈	—	3	1	no	—
1134	C₂²⋊C₈	—	3	1	no	—
1135	C₂²⋊C₈	—	3	1	no	—
1136	C₂²⋊C₈	—	3	1	no	—
1137	C₂²⋊C₈	—	3	1	no	—
1138	C₂²⋊C₈	—	3	1	no	—
1139	C₂²⋊C₈	—	3	1	no	—
1140	C₂²⋊C₈	—	3	1	no	—
1141	C₂²⋊C₈	—	3	1	no	—
1142	C₂²⋊C₈	—	3	1	no	—
1143	C₂²⋊C₈	—	3	1	no	—
1144	C₂²⋊C₈	—	3	1	no	—
1145	C₂²⋊C₈	—	3	1	no	—
1146	C₂²⋊C₈	—	3	1	no	—
1147	C₂²⋊C₈	—	3	1	no	—
1148	C₂²⋊C₈	—	3	1	no	—
1149	C₂²⋊C₈	—	3	1	no	—
1150	C₂²⋊C₈	—	3	1	no	—
1151	C₂²⋊C₈	—	3	1	no	—
1152	C₂²⋊C₈	—	3	1	no	—
1153	C₂²⋊C₈	—	3	1	no	—
1154	C₂²⋊C₈	—	3	1	no	—
1155	C₂²⋊C₈	—	3	1	no	—
1156	C₂²⋊C₈	—	3	1	no	—
1157	C₂²⋊C₈	—	3	1	no	—
1158	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1159	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1160	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1161	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1162	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1163	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1164	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1165	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1166	#97	—	3	1	no	—
1167	#97	—	3	1	no	—
1168	#97	—	3	1	no	—
1169	#97	—	3	1	no	—
1170	#97	—	3	1	no	—
1171	#97	—	3	1	no	—
1172	#97	—	3	1	no	—
1173	#97	—	3	1	no	—
1174	#97	—	3	1	no	—
1175	#97	—	3	1	no	—
1176	#97	C₂²×D₃	1	1	yes	characteristic
1177	#97	C₂²×D₃	1	1	yes	characteristic
1178	C₄×C₈	—	3	1	no	—
1179	C₄×C₈	—	3	1	no	—
1180	C₄×C₈	—	3	1	no	—
1181	C₄×C₈	—	3	1	no	—
1182	C₄×C₈	—	3	1	no	—
1183	C₄×C₈	—	3	1	no	—
1184	C₄×C₈	—	3	1	no	—
1185	C₄×C₈	—	3	1	no	—
1186	C₄×C₈	—	3	1	no	—
1187	C₄×C₈	—	3	1	no	—
1188	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1189	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1190	C₂³×C₃	—	2	2	no	—
1191	C₂³×C₃	—	4	1	no	—
1192	C₂³×C₃	—	4	1	no	—
1193	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1194	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1195	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1196	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1197	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1198	C₂²×D₃	—	2	2	no	—
1199	C₂²×D₃	—	2	2	no	—
1200	C₂²×D₃	—	4	1	no	—
1201	C₂²×D₃	—	4	1	no	—
1202	C₂²×D₃	—	4	1	no	—
1203	C₂²×D₃	—	4	1	no	—
1204	C₂²×D₃	—	4	1	no	—
1205	C₂²×D₃	—	4	1	no	—
1206	C₂²×D₃	#131	1	4	yes	complemented
1207	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1208	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1209	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1210	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1211	C₃×Q₈	—	4	1	no	—
1212	C₃×D₄	—	2	2	no	—
1213	C₃×D₄	—	2	2	no	—
1214	C₃×D₄	—	4	1	no	—
1215	C₃×D₄	—	4	1	no	—
1216	C₃×D₄	—	4	1	no	—
1217	C₃×D₄	—	4	1	no	—
1218	C₃×D₄	—	4	1	no	—
1219	C₂×C₃×C₄	—	2	1	no	—
1220	C₂×C₃×C₄	—	2	1	no	—
1221	C₂×C₃×C₄	—	2	1	no	—
1222	C₂×C₃×C₄	—	2	1	no	—
1223	C₂×C₃×C₄	—	2	1	no	—
1224	C₂×C₃×C₄	—	2	1	no	—
1225	C₂×C₃×C₄	—	2	1	no	—
1226	C₂×C₃×C₄	—	2	1	no	—
1227	C₂×C₃×C₄	—	2	1	no	—
1228	C₂×C₃×C₄	—	2	1	no	—
1229	C₂×C₃×C₄	—	4	1	no	—
1230	C₂×C₃×C₄	—	4	1	no	—
1231	C₂×C₃×C₄	—	4	1	no	—
1232	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1233	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1234	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1235	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1236	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1237	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1238	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1239	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1240	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1241	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1242	#67	—	2	2	no	—
1243	#67	—	2	2	no	—
1244	#67	—	2	2	no	—
1245	#67	—	2	2	no	—
1246	#67	—	2	2	no	—
1247	#67	—	2	2	no	—
1248	#67	—	2	2	no	—
1249	#67	—	2	2	no	—
1250	#67	—	4	1	no	—
1251	#67	—	4	1	no	—
1252	#67	—	4	1	no	—
1253	#67	—	4	1	no	—
1254	#67	—	4	1	no	—
1255	#67	—	4	1	no	—
1256	C₂×Dic₃	—	2	2	no	—
1257	C₂×Dic₃	—	4	1	no	—
1258	C₂×Dic₃	—	4	1	no	—
1259	C₂×Dic₃	—	4	1	no	—
1260	C₂×Dic₃	—	4	1	no	—
1261	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1262	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1263	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1264	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1265	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1266	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1267	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1268	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1269	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1270	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1271	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1272	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1273	D₁₂	—	2	2	no	—
1274	D₁₂	—	2	2	no	—
1275	D₁₂	—	4	1	no	—
1276	C₄×D₃	—	2	2	no	—
1277	C₄×D₃	—	2	2	no	—
1278	C₄×D₃	—	2	1	no	—
1279	C₄×D₃	—	2	1	no	—
1280	C₄×D₃	—	2	1	no	—
1281	C₄×D₃	—	2	1	no	—
1282	C₄×D₃	—	2	1	no	—
1283	C₄×D₃	—	2	1	no	—
1284	C₄×D₃	—	2	1	no	—
1285	C₄×D₃	—	2	1	no	—
1286	C₄×D₃	—	4	1	no	—
1287	C₄×D₃	—	4	1	no	—
1288	C₄×D₃	—	4	1	no	—
1289	C₄×D₃	—	4	1	no	—
1290	C₄×D₃	—	4	1	no	—
1291	C₄×D₃	—	4	1	no	—
1292	C₄×D₃	—	4	1	no	—
1293	C₄×D₃	—	4	1	no	—
1294	Dic₆	—	4	1	no	—
1295	Dic₆	—	4	1	no	—
1296	Dic₆	—	4	1	no	—
1297	C₃×C₈	—	2	1	no	—
1298	C₃×C₈	—	2	1	no	—
1299	C₃×C₈	—	2	1	no	—
1300	C₃×C₈	—	2	1	no	—
1301	C₃×C₈	—	2	1	no	—
1302	C₃×C₈	—	2	1	no	—
1303	C₃×C₈	—	2	1	no	—
1304	C₃×C₈	H(5,𝔽₂)	1	2	yes	—
1305	C₃⋊C₈	—	2	1	no	—
1306	C₃⋊C₈	—	2	1	no	—
1307	C₃⋊C₈	—	2	1	no	—
1308	C₃⋊C₈	—	2	1	no	—
1309	C₃⋊C₈	—	2	1	no	—
1310	C₃⋊C₈	—	2	1	no	—
1311	C₃⋊C₈	—	2	1	no	—
1312	C₃⋊C₈	—	2	1	no	—
1313	C₂⁴	—	3	1	no	—
1314	C₂⁴	—	3	1	no	—
1315	C₂⁴	—	3	1	no	—
1316	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
1317	#41	—	4	1	no	—
1318	#41	—	4	1	no	—
1319	#41	—	12	1	no	—
1320	#41	—	12	1	no	—
1321	C₂×Q₈	—	3	1	no	—
1322	C₂×Q₈	—	3	1	no	—
1323	C₂×Q₈	—	3	1	no	—
1324	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1325	C₂×D₄	—	3	1	no	—
1326	C₂×D₄	—	3	1	no	—
1327	C₂×D₄	—	3	1	no	—
1328	C₂×D₄	—	3	1	no	—
1329	C₂×D₄	—	3	1	no	—
1330	C₂×D₄	—	3	1	no	—
1331	C₂×D₄	—	3	1	no	—
1332	C₂×D₄	—	3	1	no	—
1333	C₂×D₄	—	3	1	no	—
1334	C₂×D₄	—	3	1	no	—
1335	C₂×D₄	—	3	1	no	—
1336	C₂×D₄	—	3	1	no	—
1337	C₂×D₄	—	3	1	no	—
1338	C₂×D₄	—	3	1	no	—
1339	C₂×D₄	—	3	1	no	—
1340	C₂×D₄	—	3	1	no	—
1341	C₂×D₄	—	3	1	no	—
1342	C₂×D₄	—	6	4	no	—
1343	C₂×D₄	—	6	4	no	—
1344	C₂×D₄	—	6	4	no	—
1345	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1346	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1347	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1348	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1349	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1350	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1351	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1352	C₂²×C₄	—	3	1	no	—
1353	C₂²×C₄	—	3	1	no	—
1354	C₂²×C₄	—	3	1	no	—
1355	C₂²×C₄	—	3	1	no	—
1356	C₂²×C₄	—	3	1	no	—
1357	C₂²×C₄	—	3	1	no	—
1358	C₂²×C₄	—	3	1	no	—
1359	C₂²×C₄	—	3	1	no	—
1360	C₂²×C₄	—	3	1	no	—
1361	C₂²×C₄	—	3	1	no	—
1362	C₂²×C₄	—	3	1	no	—
1363	C₂²×C₄	—	3	1	no	—
1364	C₂²×C₄	—	3	1	no	—
1365	C₂²×C₄	—	3	1	no	—
1366	C₂²×C₄	—	3	1	no	—
1367	C₂²×C₄	—	3	1	no	—
1368	C₂²×C₄	—	3	1	no	—
1369	C₂²×C₄	—	3	1	no	—
1370	C₂²×C₄	—	3	1	no	—
1371	C₂²×C₄	—	4	1	no	—
1372	C₂²×C₄	—	4	1	no	—
1373	C₂²×C₄	—	12	1	no	—
1374	C₂²×C₄	—	12	1	no	—
1375	C₂²×C₄	—	12	1	no	—
1376	C₂²×C₄	—	12	1	no	—
1377	C₂²×C₄	—	12	1	no	—
1378	C₂²×C₄	—	12	1	no	—
1379	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1380	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1381	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1382	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1383	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1384	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1385	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1386	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1387	M₁₆	—	2	2	no	—
1388	M₁₆	—	2	2	no	—
1389	M₁₆	—	2	2	no	—
1390	M₁₆	—	4	1	no	—
1391	M₁₆	—	4	1	no	—
1392	M₁₆	—	4	1	no	—
1393	M₁₆	—	6	2	no	—
1394	M₁₆	—	12	1	no	—
1395	M₁₆	—	12	1	no	—
1396	M₁₆	—	12	1	no	—
1397	M₁₆	—	12	1	no	—
1398	M₁₆	—	12	1	no	—
1399	C₂×C₈	—	2	2	no	—
1400	C₂×C₈	—	2	2	no	—
1401	C₂×C₈	—	3	1	no	—
1402	C₂×C₈	—	3	1	no	—
1403	C₂×C₈	—	3	1	no	—
1404	C₂×C₈	—	3	1	no	—
1405	C₂×C₈	—	3	1	no	—
1406	C₂×C₈	—	3	1	no	—
1407	C₂×C₈	—	3	1	no	—
1408	C₂×C₈	—	3	1	no	—
1409	C₂×C₈	—	4	1	no	—
1410	C₂×C₈	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	—	6	2	no	—
1414	C₂×C₈	—	6	2	no	—
1415	C₂×C₈	—	6	2	no	—
1416	C₂×C₈	—	12	1	no	—
1417	C₂×C₈	—	12	1	no	—
1418	C₂×C₈	—	12	1	no	—
1419	C₂×C₈	—	12	1	no	—
1420	C₂×C₈	—	12	1	no	—
1421	C₂×C₈	—	12	1	no	—
1422	C₂×C₈	—	12	1	no	—
1423	C₂×C₈	—	12	1	no	—
1424	C₂×C₈	—	12	1	no	—
1425	C₂×C₈	—	12	1	no	—
1426	C₂×C₈	—	12	1	no	—
1427	C₂×C₈	—	12	1	no	—
1428	C₂×C₈	—	12	1	no	—
1429	C₂×C₈	—	12	1	no	—
1430	C₂×C₈	—	12	1	no	—
1431	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1432	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1433	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1434	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1435	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1436	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1437	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1439	C₄⋊C₄	—	3	1	no	—
1440	C₄⋊C₄	—	3	1	no	—
1441	C₄⋊C₄	—	3	1	no	—
1442	C₄⋊C₄	—	3	1	no	—
1443	C₄⋊C₄	—	3	1	no	—
1444	C₄⋊C₄	—	3	1	no	—
1445	C₄⋊C₄	—	3	1	no	—
1446	C₄⋊C₄	—	3	1	no	—
1447	C₄⋊C₄	—	3	1	no	—
1448	C₄⋊C₄	—	3	1	no	—
1449	C₄⋊C₄	—	3	1	no	—
1450	C₄⋊C₄	—	3	1	no	—
1451	C₄⋊C₄	—	3	1	no	—
1452	C₄⋊C₄	—	3	1	no	—
1453	C₄⋊C₄	—	3	1	no	—
1454	C₄⋊C₄	—	3	1	no	—
1455	C₄⋊C₄	—	3	1	no	—
1456	C₄⋊C₄	—	3	1	no	—
1457	C₄⋊C₄	—	3	1	no	—
1458	C₄⋊C₄	—	3	1	no	—
1459	C₄⋊C₄	—	3	1	no	—
1460	C₄⋊C₄	—	3	1	no	—
1461	C₄⋊C₄	—	3	1	no	—
1462	C₄⋊C₄	—	3	1	no	—
1463	C₄⋊C₄	—	3	1	no	—
1464	C₄⋊C₄	—	3	1	no	—
1465	C₄⋊C₄	—	3	1	no	—
1466	C₄⋊C₄	—	3	1	no	—
1467	C₄⋊C₄	—	3	1	no	—
1468	C₄⋊C₄	—	3	1	no	—
1469	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1475	C₂²⋊C₄	—	3	1	no	—
1476	C₂²⋊C₄	—	3	1	no	—
1477	C₂²⋊C₄	—	3	1	no	—
1478	C₂²⋊C₄	—	3	1	no	—
1479	C₂²⋊C₄	—	3	1	no	—
1480	C₂²⋊C₄	—	3	1	no	—
1481	C₂²⋊C₄	—	3	1	no	—
1482	C₂²⋊C₄	—	3	1	no	—
1483	C₂²⋊C₄	—	3	1	no	—
1484	C₂²⋊C₄	—	3	1	no	—
1485	C₂²⋊C₄	—	3	1	no	—
1486	C₂²⋊C₄	—	3	1	no	—
1487	C₂²⋊C₄	—	3	1	no	—
1488	C₂²⋊C₄	—	3	1	no	—
1489	C₂²⋊C₄	—	3	1	no	—
1490	C₂²⋊C₄	—	3	1	no	—
1491	C₂²⋊C₄	—	3	1	no	—
1492	C₂²⋊C₄	—	3	1	no	—
1493	C₂²⋊C₄	—	3	1	no	—
1494	C₂²⋊C₄	—	3	1	no	—
1495	C₂²⋊C₄	—	3	1	no	—
1496	C₂²⋊C₄	—	3	1	no	—
1497	C₂²⋊C₄	—	3	1	no	—
1498	C₂²⋊C₄	—	3	1	no	—
1499	C₂²⋊C₄	—	3	1	no	—
1500	C₂²⋊C₄	—	3	1	no	—
1501	C₂²⋊C₄	—	3	1	no	—
1502	C₂²⋊C₄	—	3	1	no	—
1503	C₂²⋊C₄	—	3	1	no	—
1504	C₂²⋊C₄	—	3	1	no	—
1505	C₂²⋊C₄	—	3	1	no	—
1506	C₂²⋊C₄	—	3	1	no	—
1507	C₂²⋊C₄	—	3	1	no	—
1508	C₂²⋊C₄	—	3	1	no	—
1509	C₂²⋊C₄	—	3	1	no	—
1510	C₂²⋊C₄	—	3	1	no	—
1511	C₂²⋊C₄	—	3	1	no	—
1512	C₂²⋊C₄	—	3	1	no	—
1513	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1523	C₄²	—	3	1	no	—
1524	C₄²	—	3	1	no	—
1525	C₄²	—	3	1	no	—
1526	C₄²	—	3	1	no	—
1527	C₄²	—	3	1	no	—
1528	C₄²	—	3	1	no	—
1529	C₄²	—	3	1	no	—
1530	C₄²	—	3	1	no	—
1531	C₄²	—	3	1	no	—
1532	C₄²	—	3	1	no	—
1533	C₄²	C₂³×D₃	1	1	yes	characteristic
1534	C₄²	C₂³×D₃	1	1	yes	characteristic
1535	C₂²×C₃	—	2	1	no	—
1536	C₂²×C₃	—	2	1	no	—
1537	C₂²×C₃	—	2	1	no	—
1538	C₂²×C₃	—	2	1	no	—
1539	C₂²×C₃	—	2	1	no	—
1540	C₂²×C₃	—	2	1	no	—
1541	C₂²×C₃	—	2	1	no	—
1542	C₂²×C₃	—	2	1	no	—
1543	C₂²×C₃	—	2	1	no	—
1544	C₂²×C₃	—	2	1	no	—
1545	C₂²×C₃	—	2	1	no	—
1546	C₂²×C₃	—	2	1	no	—
1547	C₂²×C₃	—	2	1	no	—
1548	C₂²×C₃	—	2	1	no	—
1549	C₂²×C₃	—	8	2	no	—
1550	C₂²×C₃	C₂×#131	1	2	yes	—
1551	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1552	C₂×D₃	—	2	1	no	—
1553	C₂×D₃	—	2	1	no	—
1554	C₂×D₃	—	2	1	no	—
1555	C₂×D₃	—	2	1	no	—
1556	C₂×D₃	—	2	1	no	—
1557	C₂×D₃	—	2	1	no	—
1558	C₂×D₃	—	2	1	no	—
1559	C₂×D₃	—	2	1	no	—
1560	C₂×D₃	—	2	1	no	—
1561	C₂×D₃	—	2	1	no	—
1562	C₂×D₃	—	4	4	no	—
1563	C₂×D₃	—	4	4	no	—
1564	C₂×D₃	—	8	2	no	—
1565	C₂×D₃	C₂×#131	1	2	yes	—
1566	C₂×D₃	C₂×#131	1	2	yes	—
1567	C₃×C₄	—	2	1	no	—
1568	C₃×C₄	—	2	1	no	—
1569	C₃×C₄	—	2	1	no	—
1570	C₃×C₄	—	2	1	no	—
1571	C₃×C₄	—	2	1	no	—
1572	C₃×C₄	—	2	1	no	—
1573	C₃×C₄	—	2	1	no	—
1574	C₃×C₄	—	2	1	no	—
1575	C₃×C₄	—	2	1	no	—
1576	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1577	C₃×C₄	#585	1	1	yes	characteristic
1578	Dic₃	—	2	1	no	—
1579	Dic₃	—	2	1	no	—
1580	Dic₃	—	2	1	no	—
1581	Dic₃	—	2	1	no	—
1582	Dic₃	—	2	1	no	—
1583	Dic₃	—	2	1	no	—
1584	Dic₃	—	2	1	no	—
1585	Dic₃	—	2	1	no	—
1586	Dic₃	—	2	1	no	—
1587	Dic₃	—	2	1	no	—
1588	Dic₃	—	2	1	no	—
1589	Dic₃	—	2	1	no	—
1590	C₂³	—	2	2	no	—
1591	C₂³	—	3	1	no	—
1592	C₂³	—	3	1	no	—
1593	C₂³	—	3	4	no	—
1594	C₂³	—	3	1	no	—
1595	C₂³	—	3	1	no	—
1596	C₂³	—	4	1	no	—
1597	C₂³	—	4	1	no	—
1598	C₂³	—	6	2	no	—
1599	C₂³	—	6	2	no	—
1600	C₂³	—	12	1	no	—
1601	C₂³	—	12	1	no	—
1602	C₂³	—	12	1	no	—
1603	C₂³	—	12	1	no	—
1604	C₂³	—	12	1	no	—
1605	C₂³	—	12	1	no	—
1606	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1607	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1608	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1609	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1610	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1611	Q₈	—	4	1	no	—
1612	Q₈	—	12	1	no	—
1613	Q₈	—	12	1	no	—
1614	Q₈	—	12	1	no	—
1615	D₄	—	2	2	no	—
1616	D₄	—	2	2	no	—
1617	D₄	—	4	1	no	—
1618	D₄	—	4	1	no	—
1619	D₄	—	4	1	no	—
1620	D₄	—	4	1	no	—
1621	D₄	—	4	1	no	—
1622	D₄	—	6	2	no	—
1623	D₄	—	6	2	no	—
1624	D₄	—	6	2	no	—
1625	D₄	—	6	2	no	—
1626	D₄	—	6	2	no	—
1627	D₄	—	6	2	no	—
1628	D₄	—	6	2	no	—
1629	D₄	—	6	2	no	—
1630	D₄	—	6	2	no	—
1631	D₄	—	6	2	no	—
1632	D₄	—	12	1	no	—
1633	D₄	—	12	1	no	—
1634	D₄	—	12	1	no	—
1635	D₄	—	12	1	no	—
1636	D₄	—	12	1	no	—
1637	D₄	—	12	1	no	—
1638	D₄	—	12	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	3	1	no	—
1650	C₂×C₄	—	3	1	no	—
1651	C₂×C₄	—	3	1	no	—
1652	C₂×C₄	—	3	1	no	—
1653	C₂×C₄	—	3	1	no	—
1654	C₂×C₄	—	3	1	no	—
1655	C₂×C₄	—	3	1	no	—
1656	C₂×C₄	—	3	1	no	—
1657	C₂×C₄	—	3	1	no	—
1658	C₂×C₄	—	3	1	no	—
1659	C₂×C₄	—	3	1	no	—
1660	C₂×C₄	—	3	1	no	—
1661	C₂×C₄	—	4	1	no	—
1662	C₂×C₄	—	4	1	no	—
1663	C₂×C₄	—	4	1	no	—
1664	C₂×C₄	—	6	2	no	—
1665	C₂×C₄	—	6	2	no	—
1666	C₂×C₄	—	6	2	no	—
1667	C₂×C₄	—	6	1	no	—
1668	C₂×C₄	—	6	1	no	—
1669	C₂×C₄	—	6	1	no	—
1670	C₂×C₄	—	6	1	no	—
1671	C₂×C₄	—	6	1	no	—
1672	C₂×C₄	—	6	1	no	—
1673	C₂×C₄	—	6	1	no	—
1674	C₂×C₄	—	6	1	no	—
1675	C₂×C₄	—	12	1	no	—
1676	C₂×C₄	—	12	1	no	—
1677	C₂×C₄	—	12	1	no	—
1678	C₂×C₄	—	12	1	no	—
1679	C₂×C₄	—	12	1	no	—
1680	C₂×C₄	—	12	1	no	—
1681	C₂×C₄	—	12	1	no	—
1682	C₂×C₄	—	12	1	no	—
1683	C₂×C₄	—	12	1	no	—
1684	C₂×C₄	—	12	1	no	—
1685	C₂×C₄	—	12	1	no	—
1686	C₂×C₄	—	12	1	no	—
1687	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1688	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1689	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1690	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1691	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1692	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1693	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1694	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1695	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1696	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1697	C₈	—	2	1	no	—
1698	C₈	—	2	1	no	—
1699	C₈	—	2	1	no	—
1700	C₈	—	2	1	no	—
1701	C₈	—	2	1	no	—
1702	C₈	—	2	1	no	—
1703	C₈	—	2	1	no	—
1704	C₈	—	6	1	no	—
1705	C₈	—	6	1	no	—
1706	C₈	—	6	1	no	—
1707	C₈	—	6	1	no	—
1708	C₈	—	6	1	no	—
1709	C₈	—	6	1	no	—
1710	C₈	—	6	1	no	—
1711	C₈	—	6	1	no	—
1712	C₈	#1004	1	2	yes	—
1713	C₂×C₃	—	2	2	no	—
1714	C₂×C₃	—	4	1	no	—
1715	C₂×C₃	—	4	1	no	—
1716	C₂×C₃	—	4	1	no	—
1717	C₂×C₃	—	4	1	no	—
1718	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1719	C₂×C₃	C₂²×#131	1	1	yes	characteristic
1720	C₂×C₃	#3573	1	1	yes	characteristic
1721	D₃	—	2	2	no	—
1722	D₃	—	2	2	no	—
1723	D₃	—	4	1	no	—
1724	D₃	—	4	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	2	1	no	—
1737	C₂²	—	2	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	3	2	no	—
1740	C₂²	—	3	2	no	—
1741	C₂²	—	6	1	no	—
1742	C₂²	—	6	1	no	—
1743	C₂²	—	6	1	no	—
1744	C₂²	—	6	1	no	—
1745	C₂²	—	6	1	no	—
1746	C₂²	—	6	1	no	—
1747	C₂²	—	6	1	no	—
1748	C₂²	—	6	1	no	—
1749	C₂²	—	6	1	no	—
1750	C₂²	—	6	1	no	—
1751	C₂²	—	8	2	no	—
1752	C₂²	—	12	4	no	—
1753	C₂²	—	12	4	no	—
1754	C₂²	—	24	2	no	—
1755	C₂²	D₃×#131	1	2	yes	—
1756	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	2	1	no	—
1764	C₄	—	2	1	no	—
1765	C₄	—	2	1	no	—
1766	C₄	—	6	1	no	—
1767	C₄	—	6	1	no	—
1768	C₄	—	6	1	no	—
1769	C₄	—	6	1	no	—
1770	C₄	—	6	1	no	—
1771	C₄	—	6	1	no	—
1772	C₄	—	6	1	no	—
1773	C₄	—	6	1	no	—
1774	C₄	—	6	1	no	—
1775	C₄	—	6	1	no	—
1776	C₄	—	6	1	no	—
1777	C₄	—	6	1	no	—
1778	C₄	C₂×#1004	1	1	yes	characteristic
1779	C₄	#5964	1	1	yes	characteristic
1780	C₃	#60310	1	1	yes	characteristic, complemented, Sylow
1781	C₂	—	2	2	no	—
1782	C₂	—	4	1	no	—
1783	C₂	—	4	1	no	—
1784	C₂	—	4	1	no	—
1785	C₂	—	4	1	no	—
1786	C₂	—	6	2	no	—
1787	C₂	—	6	2	no	—
1788	C₂	—	12	1	no	—
1789	C₂	—	12	1	no	—
1790	C₂	C₄×#1004	1	1	yes	characteristic
1791	C₂	C₂×D₃×#131	1	1	yes	characteristic
1792	C₂	#87166	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2933	C₂
prime radical	#86036	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2933	D₃
hypocenter	C₃	#60310
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2933

Complements

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

N	H ≅ G/N	type
2. C₃×#2933	C₂	semidirect
3. #83796	C₂	semidirect
4. #83794	C₂	semidirect
5. C₂×#5127	C₂	semidirect
6. #83757	C₂	semidirect
7. #82920	C₂	semidirect
8. #79544	C₂	semidirect
9. #79539	C₂	semidirect
10. #79527	C₂	semidirect
11. #79518	C₂	semidirect
12. #79489	C₂	semidirect
13. #79485	C₂	semidirect
14. #79478	C₂	semidirect
15. D₃×#435	C₂	semidirect
16. #79466	C₂	semidirect
17. #79464	C₂	semidirect
18. #79458	C₂	semidirect
19. #79457	C₂	semidirect
20. #79426	C₂	semidirect
21. D₃×C₈×D₄	C₂	semidirect
22. #79409	C₂	semidirect
23. #79402	C₂	semidirect
24. #79084	C₂	semidirect
25. #79082	C₂	semidirect
26. #78665	C₂	semidirect
27. #78664	C₂	semidirect
28. #78605	C₂	semidirect
29. #78601	C₂	semidirect
30. #78558	C₂	semidirect
31. #78556	C₂	semidirect
33. C₂×C₃×#131	C₂²	semidirect
34. C₂²×C₃×M₁₆	C₂²	semidirect
40. C₂×#907	C₂²	semidirect
41. C₂×D₃×M₁₆	C₂²	semidirect
43. C₂²×D₃×C₈	C₂²	semidirect
70. C₃×#436	C₂²	semidirect
71. C₃×#436	C₂²	semidirect
72. C₃×#435	C₂²	semidirect
73. C₃×#435	C₂²	semidirect
74. C₃×#435	C₂²	semidirect
75. C₃×#435	C₂²	semidirect
76. C₃×C₈×D₄	C₂²	semidirect
77. C₃×C₈×D₄	C₂²	semidirect
78. C₃×#424	C₂²	semidirect
79. C₃×#408	C₂²	semidirect
80. C₂×C₃×C₂²⋊C₈	C₂²	semidirect
81. C₃×#405	C₂²	semidirect
82. #5234	C₂²	semidirect
83. #5234	C₂²	semidirect
84. C₂×#830	C₂²	semidirect
85. C₂×#830	C₂²	semidirect
86. #5129	C₂²	semidirect
87. #5128	C₂²	semidirect
88. #5128	C₂²	semidirect
89. #5128	C₂²	semidirect
90. #5127	C₂²	semidirect
91. #5127	C₂²	semidirect
92. #5127	C₂²	semidirect
93. #5127	C₂²	semidirect
94. #5127	C₂²	semidirect
95. #5127	C₂²	semidirect
96. #5127	C₂²	semidirect
97. #5127	C₂²	semidirect
98. #5127	C₂²	semidirect
99. #5127	C₂²	semidirect
100. #5127	C₂²	semidirect
101. #5127	C₂²	semidirect
102. #5127	C₂²	semidirect
103. #5126	C₂²	semidirect
104. #5122	C₂²	semidirect
105. #5122	C₂²	semidirect
106. #5119	C₂²	semidirect
107. #5119	C₂²	semidirect
108. #5111	C₂²	semidirect
109. #5111	C₂²	semidirect
110. #5111	C₂²	semidirect
111. #5111	C₂²	semidirect
112. #5111	C₂²	semidirect
113. C₈×#67	C₂²	semidirect
114. C₈×#67	C₂²	semidirect
115. C₈×#67	C₂²	semidirect
116. C₈×#67	C₂²	semidirect
117. C₈×#67	C₂²	semidirect
118. C₈×#67	C₂²	semidirect
119. C₈×#67	C₂²	semidirect
120. C₈×#67	C₂²	semidirect
121. C₈×#67	C₂²	semidirect
122. C₈×#67	C₂²	semidirect
123. C₈×#67	C₂²	semidirect
125. C₂×(C₂×D₃)⋊C₈	C₂²	semidirect
126. #5102	C₂²	semidirect
127. #5101	C₂²	semidirect
128. C₂×#815	C₂²	semidirect
129. C₂×Dic₃⋊C₈	C₂²	semidirect
130. #5011	C₂²	semidirect
131. #5011	C₂²	semidirect
132. #5011	C₂²	semidirect
133. #5011	C₂²	semidirect
134. D₄×C₃⋊C₈	C₂²	semidirect
135. D₄×C₃⋊C₈	C₂²	semidirect
136. D₄×C₃⋊C₈	C₂²	semidirect
137. D₄×C₃⋊C₈	C₂²	semidirect
138. #5000	C₂²	semidirect
139. #5000	C₂²	semidirect
140. #4840	C₂²	semidirect
141. #4840	C₂²	semidirect
142. #4839	C₂²	semidirect
143. #4839	C₂²	semidirect
144. #4836	C₂²	semidirect
145. #4836	C₂²	semidirect
146. #4835	C₂²	semidirect
147. #4834	C₂²	semidirect
148. #4834	C₂²	semidirect
149. #4833	C₂²	semidirect
150. D₃×C₄⋊C₈	C₂²	semidirect
151. D₃×C₄⋊C₈	C₂²	semidirect
152. #4831	C₂²	semidirect
153. #4830	C₂²	semidirect
154. #4828	C₂²	semidirect
155. #4828	C₂²	semidirect
156. #4730	C₂²	semidirect
157. #4730	C₂²	semidirect
158. #4730	C₂²	semidirect
159. #4729	C₂²	semidirect
160. #4728	C₂²	semidirect
161. #4728	C₂²	semidirect
162. #4728	C₂²	semidirect
163. #4727	C₂²	semidirect
164. #4727	C₂²	semidirect
165. #4726	C₂²	semidirect
166. #67⋊C₈	C₂²	semidirect
167. #67⋊C₈	C₂²	semidirect
168. #67⋊C₈	C₂²	semidirect
169. #67⋊C₈	C₂²	semidirect
170. #67⋊C₈	C₂²	semidirect
171. #67⋊C₈	C₂²	semidirect
172. #67⋊C₈	C₂²	semidirect
173. #67⋊C₈	C₂²	semidirect
174. #67⋊C₈	C₂²	semidirect
177. D₃×C₂²⋊C₈	C₂²	semidirect
178. D₃×C₂²⋊C₈	C₂²	semidirect
179. D₃×C₂²⋊C₈	C₂²	semidirect
180. #4720	C₂²	semidirect
181. #4720	C₂²	semidirect
182. #4720	C₂²	semidirect
183. #4720	C₂²	semidirect
184. #4720	C₂²	semidirect
185. #4720	C₂²	semidirect
186. #4718	C₂²	semidirect
187. #4718	C₂²	semidirect
188. #4709	C₂²	semidirect
189. #4708	C₂²	semidirect
190. #4706	C₂²	semidirect
191. #4706	C₂²	semidirect
192. #4705	C₂²	semidirect
193. D₃×#97	C₂²	semidirect
194. #4701	C₂²	semidirect
195. #4701	C₂²	semidirect
196. #4690	C₂²	semidirect
197. #4689	C₂²	semidirect
198. C₈×D₁₂	C₂²	semidirect
199. C₈×D₁₂	C₂²	semidirect
200. #4685	C₂²	semidirect
201. C₄×D₃×C₈	C₂²	semidirect
202. #4679	C₂²	semidirect
203. C₈×Dic₆	C₂²	semidirect
229. #2933	D₃	semidirect
517. C₂×#131	C₂×D₃	semidirect
519. C₂²×M₁₆	C₂×D₃	semidirect
565. #436	C₂×D₃	semidirect
566. #436	C₂×D₃	semidirect
599. #435	C₂×D₃	semidirect
600. #435	C₂×D₃	semidirect
601. #435	C₂×D₃	semidirect
602. #435	C₂×D₃	semidirect
631. C₈×D₄	C₂×D₃	semidirect
632. C₈×D₄	C₂×D₃	semidirect
656. #424	C₂×D₃	semidirect
665. #408	C₂×D₃	semidirect
677. C₂×C₂²⋊C₈	C₂×D₃	semidirect
683. #405	C₂×D₃	semidirect
1206. C₂²×D₃	#131	semidirect
1780. C₃	#60310	semidirect

Maximal subgroups

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

subgroup	index
#86036	2
C₃×#2933	2
#83796	2
#83794	2
C₂×#5127	2
#83757	2
#82920	2
#79544	2
#79539	2
#79527	2
#79518	2
#79489	2
#79485	2
#79478	2
D₃×#435	2
#79466	2
#79464	2
#79458	2
#79457	2
#79426	2
D₃×C₈×D₄	2
#79409	2
#79402	2
#79084	2
#79082	2
#78665	2
#78664	2
#78605	2
#78601	2
#78558	2
#78556	2
#60310	3