Subgroups — #11660690

Order 768.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86146	C₂	1	1	yes	maximal, characteristic
2	C₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
3	#83127	C₂	1	1	yes	maximal, characteristic, complemented
4	#79966	C₂	1	1	yes	maximal, characteristic, complemented
5	#79946	C₂	1	1	yes	maximal, characteristic, complemented
6	#79922	C₂	1	1	yes	maximal, characteristic, complemented
7	#79908	C₂	1	1	yes	maximal, characteristic, complemented
8	#79544	C₂	1	1	yes	maximal, characteristic, complemented
9	#79525	C₂	1	1	yes	maximal, characteristic, complemented
10	#79491	C₂	1	1	yes	maximal, characteristic, complemented
11	#79490	C₂	1	1	yes	maximal, characteristic, complemented
12	#79468	C₂	1	1	yes	maximal, characteristic, complemented
13	#79467	C₂	1	1	yes	maximal, characteristic, complemented
14	#79430	C₂	1	1	yes	maximal, characteristic, complemented
15	#79429	C₂	1	1	yes	maximal, characteristic, complemented
16	#79428	C₂	1	1	yes	maximal, characteristic, complemented
17	#79410	C₂	1	1	yes	maximal, characteristic, complemented
18	#79409	C₂	1	1	yes	maximal, characteristic, complemented
19	#79407	C₂	1	1	yes	maximal, characteristic, complemented
20	#79375	C₂	1	1	yes	maximal, characteristic, complemented
21	#79374	C₂	1	1	yes	maximal, characteristic, complemented
22	#79369	C₂	1	1	yes	maximal, characteristic, complemented
23	#79368	C₂	1	1	yes	maximal, characteristic, complemented
24	#79332	C₂	1	1	yes	maximal, characteristic, complemented
25	#79326	C₂	1	1	yes	maximal, characteristic, complemented
26	#78559	C₂	1	1	yes	maximal, characteristic, complemented
27	#78558	C₂	1	1	yes	maximal, characteristic, complemented
28	#78552	C₂	1	1	yes	maximal, characteristic, complemented
29	#78551	C₂	1	1	yes	maximal, characteristic, complemented
30	#78455	C₂	1	1	yes	maximal, characteristic, complemented
31	#78448	C₂	1	1	yes	maximal, characteristic, complemented
32	#60296	—	3	1	no	maximal, Sylow
33	C₃×#529	C₂²	1	1	yes	characteristic
34	#5710	C₄	1	1	yes	characteristic
35	#5707	C₄	1	1	yes	characteristic
36	#5704	C₄	1	1	yes	characteristic
37	#5701	C₄	1	1	yes	characteristic
38	#5696	C₄	1	1	yes	characteristic
39	#5692	C₄	1	1	yes	characteristic
40	#5678	C₄	1	1	yes	characteristic
41	#5669	C₄	1	1	yes	characteristic
42	#5663	C₄	1	1	yes	characteristic
43	#5662	C₄	1	1	yes	characteristic
44	#5660	C₄	1	1	yes	characteristic
45	#5657	C₄	1	1	yes	characteristic
46	#5640	C₄	1	1	yes	characteristic
47	#5638	C₄	1	1	yes	characteristic
48	#5615	C₄	1	1	yes	characteristic
49	#5613	C₄	1	1	yes	characteristic
50	#5580	C₂²	1	1	yes	characteristic
51	#5578	C₂²	1	1	yes	characteristic
52	#5557	C₂²	1	1	yes	characteristic
53	#5548	C₂²	1	1	yes	characteristic
54	#5547	C₂²	1	1	yes	characteristic
55	#5547	C₂²	1	1	yes	characteristic
56	#5538	C₂²	1	1	yes	characteristic
57	#5538	C₂²	1	1	yes	characteristic
58	#5528	C₂²	1	1	yes	characteristic
59	#5528	C₂²	1	1	yes	characteristic
60	#5522	C₂²	1	1	yes	characteristic
61	D₃×#117	C₂²	1	1	yes	characteristic
62	#5479	C₂²	1	1	yes	characteristic
63	C₄×#235	C₂²	1	1	yes	characteristic
64	C₃×#446	C₂²	1	1	yes	characteristic, complemented
65	C₃×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
66	C₃×#436	C₂²	1	1	yes	characteristic
67	C₃×#435	C₂²	1	1	yes	characteristic
68	C₃×#435	C₂²	1	1	yes	characteristic, complemented
69	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
70	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
71	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
72	C₃×#433	C₂²	1	1	yes	characteristic
73	C₃×#433	C₂²	1	1	yes	characteristic, complemented
74	C₃×#432	C₂²	1	1	yes	characteristic, complemented
75	C₃×#405	C₂²	1	1	yes	characteristic
76	C₃×#405	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₃×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
78	#5129	C₂²	1	1	yes	characteristic
79	#5128	C₂²	1	1	yes	characteristic
80	#5128	C₂²	1	1	yes	characteristic
81	#5127	C₂²	1	1	yes	characteristic
82	#5127	C₂²	1	1	yes	characteristic, complemented
83	#5126	C₂²	1	1	yes	characteristic
84	#5119	C₂²	1	1	yes	characteristic
85	#5118	C₂²	1	1	yes	characteristic, complemented
86	#5111	C₂²	1	1	yes	characteristic
87	#5111	C₂²	1	1	yes	characteristic
88	#5111	C₂²	1	1	yes	characteristic
89	#5111	C₂²	1	1	yes	characteristic, complemented
90	#5110	C₂²	1	1	yes	characteristic
91	#5110	C₂²	1	1	yes	characteristic
92	#5110	C₂²	1	1	yes	characteristic
93	C₈×#67	C₂²	1	1	yes	characteristic
94	C₈×#67	C₂²	1	1	yes	characteristic
95	C₈×#67	C₂²	1	1	yes	characteristic, complemented
96	C₈×#67	C₂²	1	1	yes	characteristic, complemented
97	C₂×(C₂×D₃)⋊C₈	C₂²	1	1	yes	characteristic
98	#5102	C₂²	1	1	yes	characteristic
99	#5102	C₂²	1	1	yes	characteristic, complemented
100	#5102	C₂²	1	1	yes	characteristic, complemented
101	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
102	#5024	C₂²	1	1	yes	characteristic, complemented
103	#5024	C₂²	1	1	yes	characteristic, complemented
104	#5012	C₂²	1	1	yes	characteristic
105	#5012	C₂²	1	1	yes	characteristic, complemented
106	#5011	C₂²	1	1	yes	characteristic
107	#5011	C₂²	1	1	yes	characteristic
108	#5011	C₂²	1	1	yes	characteristic
109	#5011	C₂²	1	1	yes	characteristic, complemented
110	#5000	C₂²	1	1	yes	characteristic
111	#5000	C₂²	1	1	yes	characteristic, complemented
112	#4997	C₂²	1	1	yes	characteristic
113	#4997	C₂²	1	1	yes	characteristic, complemented
114	#4926	C₂²	1	1	yes	characteristic, complemented
115	C₄×#208	C₂²	1	1	yes	characteristic, complemented
116	#4840	C₂²	1	1	yes	characteristic
117	#4840	C₂²	1	1	yes	characteristic
118	#4840	C₂²	1	1	yes	characteristic
119	#4840	C₂²	1	1	yes	characteristic
120	#4839	C₂²	1	1	yes	characteristic
121	#4839	C₂²	1	1	yes	characteristic
122	#4839	C₂²	1	1	yes	characteristic, complemented
123	#4839	C₂²	1	1	yes	characteristic, complemented
124	#4838	C₂²	1	1	yes	characteristic
125	#4837	C₂²	1	1	yes	characteristic, complemented
126	#4836	C₂²	1	1	yes	characteristic
127	#4836	C₂²	1	1	yes	characteristic
128	#4836	C₂²	1	1	yes	characteristic
129	#4836	C₂²	1	1	yes	characteristic, complemented
130	#4835	C₂²	1	1	yes	characteristic
131	#4834	C₂²	1	1	yes	characteristic, complemented
132	#4833	C₂²	1	1	yes	characteristic
133	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
134	#4831	C₂²	1	1	yes	characteristic, complemented
135	#4830	C₂²	1	1	yes	characteristic, complemented
136	#4828	C₂²	1	1	yes	characteristic, complemented
137	#4828	C₂²	1	1	yes	characteristic, complemented
138	#4828	C₂²	1	1	yes	characteristic, complemented
139	#4828	C₂²	1	1	yes	characteristic, complemented
140	#4730	C₂²	1	1	yes	characteristic
141	#4730	C₂²	1	1	yes	characteristic, complemented
142	#4729	C₂²	1	1	yes	characteristic
143	#4729	C₂²	1	1	yes	characteristic
144	#4729	C₂²	1	1	yes	characteristic, complemented
145	#4729	C₂²	1	1	yes	characteristic, complemented
146	#4728	C₂²	1	1	yes	characteristic
147	#4728	C₂²	1	1	yes	characteristic
148	#4728	C₂²	1	1	yes	characteristic
149	#4728	C₂²	1	1	yes	characteristic, complemented
150	#4727	C₂²	1	1	yes	characteristic
151	#4727	C₂²	1	1	yes	characteristic
152	#4727	C₂²	1	1	yes	characteristic
153	#4727	C₂²	1	1	yes	characteristic
154	#4726	C₂²	1	1	yes	characteristic
155	#67⋊C₈	C₂²	1	1	yes	characteristic
156	#67⋊C₈	C₂²	1	1	yes	characteristic
157	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
158	#4720	C₂²	1	1	yes	characteristic
159	#4720	C₂²	1	1	yes	characteristic
160	#4720	C₂²	1	1	yes	characteristic, complemented
161	#4720	C₂²	1	1	yes	characteristic, complemented
162	#4719	C₂²	1	1	yes	characteristic, complemented
163	#4718	C₂²	1	1	yes	characteristic, complemented
164	#4709	C₂²	1	1	yes	characteristic
165	#4709	C₂²	1	1	yes	characteristic
166	#4709	C₂²	1	1	yes	characteristic
167	#4709	C₂²	1	1	yes	characteristic, complemented
168	#4708	C₂²	1	1	yes	characteristic
169	#4708	C₂²	1	1	yes	characteristic, complemented
170	#4707	C₂²	1	1	yes	characteristic, complemented
171	#4706	C₂²	1	1	yes	characteristic
172	#4706	C₂²	1	1	yes	characteristic, complemented
173	#4705	C₂²	1	1	yes	characteristic
174	#4705	C₂²	1	1	yes	characteristic
175	#4705	C₂²	1	1	yes	characteristic
176	#4705	C₂²	1	1	yes	characteristic, complemented
177	D₃×#97	C₂²	1	1	yes	characteristic, complemented
178	#4701	C₂²	1	1	yes	characteristic, complemented
179	#4701	C₂²	1	1	yes	characteristic, complemented
180	#4690	C₂²	1	1	yes	characteristic
181	#4690	C₂²	1	1	yes	characteristic
182	#4690	C₂²	1	1	yes	characteristic
183	#4690	C₂²	1	1	yes	characteristic
184	#4690	C₂²	1	1	yes	characteristic
185	#4690	C₂²	1	1	yes	characteristic, complemented
186	#4690	C₂²	1	1	yes	characteristic, complemented
187	#4690	C₂²	1	1	yes	characteristic, complemented
188	#4689	C₂²	1	1	yes	characteristic
189	#4689	C₂²	1	1	yes	characteristic, complemented
190	#4688	C₂²	1	1	yes	characteristic
191	#4688	C₂²	1	1	yes	characteristic, complemented
192	C₈×D₁₂	C₂²	1	1	yes	characteristic
193	C₈×D₁₂	C₂²	1	1	yes	characteristic
194	#4685	C₂²	1	1	yes	characteristic
195	#4685	C₂²	1	1	yes	characteristic
196	#4685	C₂²	1	1	yes	characteristic
197	#4685	C₂²	1	1	yes	characteristic, complemented
198	#4685	C₂²	1	1	yes	characteristic, complemented
199	#4685	C₂²	1	1	yes	characteristic, complemented
200	#4679	C₂²	1	1	yes	characteristic, complemented
201	#4679	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
203	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
204	#3455	—	3	1	no	—
205	#2995	—	3	1	no	—
206	#2995	—	3	1	no	—
207	#2994	—	3	1	no	—
208	#2994	—	3	1	no	—
209	#2993	—	3	1	no	—
210	#2993	—	3	1	no	—
211	#2992	—	3	1	no	—
212	#2992	—	3	1	no	—
213	#2985	—	3	1	no	—
214	#2985	—	3	1	no	—
215	#2980	—	3	1	no	—
216	#2979	—	3	1	no	—
217	#2978	—	3	1	no	—
218	#2977	—	3	1	no	—
219	#2976	—	3	1	no	—
220	#2976	—	3	1	no	—
221	#2969	—	3	1	no	—
222	#2969	—	3	1	no	—
223	#2968	—	3	1	no	—
224	#2968	—	3	1	no	—
225	#2967	—	3	1	no	—
226	#2967	—	3	1	no	—
227	#2966	—	3	1	no	—
228	#2966	D₃	1	1	yes	characteristic, complemented
229	#2925	—	3	1	no	—
230	#2925	—	3	1	no	—
231	#2924	—	3	1	no	—
232	#2924	—	3	1	no	—
233	#2923	—	3	1	no	—
234	#2922	—	3	1	no	—
235	C₂×#235	C₂³	1	1	yes	characteristic
236	C₂×#235	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
238	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
240	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
241	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
242	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
243	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
244	C₃×#126	C₂×C₄	1	1	yes	characteristic
245	C₃×#126	C₂×C₄	1	1	yes	characteristic
246	C₃×#125	C₂×C₄	1	1	yes	characteristic
247	C₃×#124	C₂×C₄	1	1	yes	characteristic
248	C₃×#123	C₂×C₄	1	1	yes	characteristic
249	C₃×#123	C₂×C₄	1	1	yes	characteristic
250	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
251	C₃×#121	C₂×C₄	1	1	yes	characteristic
252	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
253	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
254	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
255	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
256	C₃×#117	C₂³	1	1	yes	characteristic
257	C₃×#117	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
259	#947	C₂×C₄	1	1	yes	characteristic
260	#946	C₂×C₄	1	1	yes	characteristic
261	#946	C₂×C₄	1	1	yes	characteristic
262	#944	C₂×C₄	1	1	yes	characteristic
263	#940	C₂×C₄	1	1	yes	characteristic
264	#939	C₂×C₄	1	1	yes	characteristic
265	#939	C₂×C₄	1	1	yes	characteristic
266	#939	C₂×C₄	1	1	yes	characteristic
267	#939	C₂×C₄	1	1	yes	characteristic
268	#938	C₂×C₄	1	1	yes	characteristic
269	#938	C₂×C₄	1	1	yes	characteristic
270	#937	C₂×C₄	1	1	yes	characteristic
271	#937	C₂×C₄	1	1	yes	characteristic
272	#936	C₂×C₄	1	1	yes	characteristic
273	#935	C₂×C₄	1	1	yes	characteristic
274	#935	C₂×C₄	1	1	yes	characteristic
275	#930	C₂×C₄	1	1	yes	characteristic
276	#929	C₂×C₄	1	1	yes	characteristic
277	#929	C₂×C₄	1	1	yes	characteristic
278	C₄×#67	C₂×C₄	1	1	yes	characteristic
279	C₄×#67	C₂×C₄	1	1	yes	characteristic
280	C₄×#67	C₂×C₄	1	1	yes	characteristic
281	C₄×#67	C₂×C₄	1	1	yes	characteristic
282	C₄×#67	C₂³	1	1	yes	characteristic
283	C₄×#67	C₂³	1	1	yes	characteristic
284	C₄×#67	C₂³	1	1	yes	characteristic
285	C₄×#67	C₂³	1	1	yes	characteristic
286	C₄×#67	C₂³	1	1	yes	characteristic
287	C₄×#67	C₂³	1	1	yes	characteristic
288	#926	C₂³	1	1	yes	characteristic
289	#926	C₂³	1	1	yes	characteristic
290	#924	C₂×C₄	1	1	yes	characteristic
291	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
292	C₂×#208	C₂³	1	1	yes	characteristic
293	C₂×#208	C₂³	1	1	yes	characteristic
294	C₂×#208	C₂³	1	1	yes	characteristic
295	C₂×#208	C₂³	1	1	yes	characteristic
296	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
297	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
299	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
300	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
301	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
302	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
303	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
304	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
305	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
306	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
307	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
308	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
309	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
310	#898	C₂×C₄	1	1	yes	characteristic
311	#898	C₂×C₄	1	1	yes	characteristic
312	#898	C₂×C₄	1	1	yes	characteristic
313	#898	C₂×C₄	1	1	yes	characteristic
314	#898	C₂×C₄	1	1	yes	characteristic
315	#898	C₂×C₄	1	1	yes	characteristic
316	#897	C₂×C₄	1	1	yes	characteristic
317	#897	C₂×C₄	1	1	yes	characteristic
318	#896	C₂×C₄	1	1	yes	characteristic
319	#896	C₂×C₄	1	1	yes	characteristic
320	#896	C₂×C₄	1	1	yes	characteristic
321	#896	C₂×C₄	1	1	yes	characteristic
322	#896	C₂×C₄	1	1	yes	characteristic
323	#896	C₂×C₄	1	1	yes	characteristic
324	#895	C₂×C₄	1	1	yes	characteristic
325	#895	C₂×C₄	1	1	yes	characteristic
326	#894	C₂×C₄	1	1	yes	characteristic
327	#894	C₂×C₄	1	1	yes	characteristic
328	#894	C₂×C₄	1	1	yes	characteristic
329	#894	C₂×C₄	1	1	yes	characteristic
330	#894	C₂×C₄	1	1	yes	characteristic
331	#894	C₂×C₄	1	1	yes	characteristic
332	#893	C₂×C₄	1	1	yes	characteristic
333	#893	C₂×C₄	1	1	yes	characteristic
334	#892	C₂×C₄	1	1	yes	characteristic
335	#892	C₂×C₄	1	1	yes	characteristic
336	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
337	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
338	#890	C₂×C₄	1	1	yes	characteristic
339	#890	C₂×C₄	1	1	yes	characteristic
340	#889	C₂×C₄	1	1	yes	characteristic
341	#889	C₂×C₄	1	1	yes	characteristic
342	#889	C₂×C₄	1	1	yes	characteristic
343	#889	C₂×C₄	1	1	yes	characteristic
344	#889	C₂×C₄	1	1	yes	characteristic
345	#889	C₂×C₄	1	1	yes	characteristic
346	#888	C₂×C₄	1	1	yes	characteristic
347	#888	C₂×C₄	1	1	yes	characteristic
348	#887	C₂×C₄	1	1	yes	characteristic
349	#887	C₂×C₄	1	1	yes	characteristic
350	#886	C₂×C₄	1	1	yes	characteristic
351	#886	C₂×C₄	1	1	yes	characteristic
352	#885	C₂×C₄	1	1	yes	characteristic
353	#885	C₂×C₄	1	1	yes	characteristic
354	#885	C₂×C₄	1	1	yes	characteristic
355	#885	C₂×C₄	1	1	yes	characteristic
356	#885	C₂×C₄	1	1	yes	characteristic
357	#885	C₂×C₄	1	1	yes	characteristic
358	#884	C₂×C₄	1	1	yes	characteristic
359	#884	C₂×C₄	1	1	yes	characteristic
360	#884	C₂×C₄	1	1	yes	characteristic
361	#884	C₂×C₄	1	1	yes	characteristic
362	#884	C₂×C₄	1	1	yes	characteristic
363	#884	C₂×C₄	1	1	yes	characteristic
364	#883	C₂×C₄	1	1	yes	characteristic
365	#883	C₂×C₄	1	1	yes	characteristic
366	#883	C₂×C₄	1	1	yes	characteristic
367	#883	C₂×C₄	1	1	yes	characteristic
368	#883	C₂×C₄	1	1	yes	characteristic
369	#883	C₂×C₄	1	1	yes	characteristic
370	#882	C₂×C₄	1	1	yes	characteristic
371	#882	C₂×C₄	1	1	yes	characteristic
372	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
373	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
374	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
375	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
376	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
377	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
378	#879	C₂×C₄	1	1	yes	characteristic
379	#879	C₂×C₄	1	1	yes	characteristic
380	#879	C₂×C₄	1	1	yes	characteristic
381	#879	C₂×C₄	1	1	yes	characteristic
382	#879	C₂×C₄	1	1	yes	characteristic
383	#879	C₂×C₄	1	1	yes	characteristic
384	#878	C₂×C₄	1	1	yes	characteristic
385	#878	C₂×C₄	1	1	yes	characteristic
386	#878	C₂×C₄	1	1	yes	characteristic
387	#878	C₂×C₄	1	1	yes	characteristic
388	#877	C₂×C₄	1	1	yes	characteristic
389	#877	C₂×C₄	1	1	yes	characteristic
390	#876	C₂×C₄	1	1	yes	characteristic
391	#876	C₂×C₄	1	1	yes	characteristic
392	#875	C₂×C₄	1	1	yes	characteristic
393	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
394	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
395	C₄×D₁₂	C₂³	1	1	yes	characteristic
396	C₄×D₁₂	C₂³	1	1	yes	characteristic
397	C₄×D₁₂	C₂³	1	1	yes	characteristic
398	#872	C₂³	1	1	yes	characteristic
399	#872	C₂³	1	1	yes	characteristic
400	#872	C₂³	1	1	yes	characteristic
401	#872	C₂³	1	1	yes	characteristic
402	#872	C₂³	1	1	yes	characteristic
403	#872	C₂³	1	1	yes	characteristic
404	C₄²×D₃	C₂³	1	1	yes	characteristic
405	C₄²×D₃	C₂³	1	1	yes	characteristic
406	C₄²×D₃	C₂³	1	1	yes	characteristic
407	C₄²×D₃	C₂³	1	1	yes	characteristic
408	#870	C₂×C₄	1	1	yes	characteristic
409	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
410	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
411	C₄×Dic₆	C₂³	1	1	yes	characteristic
412	C₄×Dic₆	C₂³	1	1	yes	characteristic
413	C₄×Dic₆	C₂³	1	1	yes	characteristic
414	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
425	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₃×#97	C₂³	1	1	yes	characteristic
427	C₃×#97	C₂³	1	1	yes	characteristic
428	C₃×#97	C₂³	1	1	yes	characteristic
429	C₃×#97	C₂³	1	1	yes	characteristic
430	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
431	C₃×C₄×C₈	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	#830	C₂³	1	1	yes	characteristic
437	#830	C₂³	1	1	yes	characteristic
438	#830	C₂³	1	1	yes	characteristic
439	#830	C₂³	1	1	yes	characteristic
440	#830	C₂³	1	1	yes	characteristic
441	#830	C₂³	1	1	yes	characteristic
442	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
443	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
444	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
445	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
446	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
447	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
448	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
449	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
450	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
451	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
452	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
453	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
454	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
455	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
456	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
457	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
458	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
459	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
460	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
461	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
462	#815	C₂³	1	1	yes	characteristic
463	#815	C₂³	1	1	yes	characteristic
464	#815	C₂³	1	1	yes	characteristic
465	#815	C₂³	1	1	yes	characteristic
466	#815	C₂³	1	1	yes	characteristic
467	#815	C₂³	1	1	yes	characteristic
468	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
469	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
470	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
471	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
472	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
473	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
474	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
475	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
476	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
477	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
478	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
479	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
480	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
481	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
482	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
483	Dic₃⋊C₈	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	C₈×Dic₃	C₂³	1	1	yes	characteristic
489	C₈×Dic₃	C₂³	1	1	yes	characteristic
490	C₈×Dic₃	C₂³	1	1	yes	characteristic
491	C₈×Dic₃	C₂³	1	1	yes	characteristic
492	C₈×Dic₃	C₂³	1	1	yes	characteristic
493	C₈×Dic₃	C₂³	1	1	yes	characteristic
494	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
495	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
496	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
497	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
498	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
499	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
500	#803	C₂³	1	1	yes	characteristic
501	#803	C₂³	1	1	yes	characteristic
502	#803	C₂³	1	1	yes	characteristic
503	#803	C₂³	1	1	yes	characteristic
504	#803	C₂³	1	1	yes	characteristic
505	#803	C₂³	1	1	yes	characteristic
506	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
507	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
508	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
509	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
510	#542	—	3	1	no	—
511	#542	—	3	1	no	—
512	#542	—	3	1	no	—
513	#542	—	3	1	no	—
514	#541	—	3	1	no	—
515	#541	—	3	1	no	—
516	#540	—	3	1	no	—
517	#540	—	3	1	no	—
518	#539	—	3	1	no	—
519	#539	—	3	1	no	—
520	#539	—	3	1	no	—
521	#539	—	3	1	no	—
522	#538	—	3	1	no	—
523	#538	—	3	1	no	—
524	#538	—	3	1	no	—
525	#538	—	3	1	no	—
526	#533	—	3	1	no	—
527	#532	—	3	1	no	—
528	#529	—	3	1	no	—
529	#529	—	3	1	no	—
530	#529	—	3	1	no	—
531	#529	—	3	1	no	—
532	#529	—	3	1	no	—
533	#529	—	3	1	no	—
534	#529	—	3	1	no	—
535	#529	C₂×D₃	1	1	yes	characteristic
536	#525	—	3	1	no	—
537	#525	—	3	1	no	—
538	C₄×#41	—	3	1	no	—
539	C₄×#41	—	3	1	no	—
540	C₂×#117	—	3	1	no	—
541	#446	—	3	1	no	—
542	#446	—	3	1	no	—
543	#446	—	3	1	no	—
544	#446	—	3	1	no	—
545	#446	—	3	1	no	—
546	#446	—	3	1	no	—
547	#446	—	3	1	no	—
548	#446	—	3	1	no	—
549	#446	—	3	1	no	—
550	#446	—	3	1	no	—
551	#446	—	3	1	no	—
552	#446	C₂×D₃	1	1	yes	characteristic, complemented
553	C₈×Q₈	—	3	1	no	—
554	C₈×Q₈	—	3	1	no	—
555	C₈×Q₈	—	3	1	no	—
556	C₈×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
557	#436	—	3	1	no	—
558	#436	—	3	1	no	—
559	#436	—	3	1	no	—
560	#436	—	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	—	3	1	no	—
566	#436	—	3	1	no	—
567	#436	—	3	1	no	—
568	#436	C₂×D₃	1	1	yes	characteristic
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	C₂×D₃	1	1	yes	characteristic
592	#435	C₂×D₃	1	1	yes	characteristic, complemented
593	C₈×D₄	—	3	1	no	—
594	C₈×D₄	—	3	1	no	—
595	C₈×D₄	—	3	1	no	—
596	C₈×D₄	—	3	1	no	—
597	C₈×D₄	—	3	1	no	—
598	C₈×D₄	—	3	1	no	—
599	C₈×D₄	—	3	1	no	—
600	C₈×D₄	—	3	1	no	—
601	C₈×D₄	—	3	1	no	—
602	C₈×D₄	C₂×D₃	1	1	yes	characteristic
603	C₈×D₄	C₂×D₃	1	1	yes	characteristic
604	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
605	#433	—	3	1	no	—
606	#433	—	3	1	no	—
607	#433	—	3	1	no	—
608	#433	—	3	1	no	—
609	#433	—	3	1	no	—
610	#433	—	3	1	no	—
611	#433	—	3	1	no	—
612	#433	—	3	1	no	—
613	#433	—	3	1	no	—
614	#433	—	3	1	no	—
615	#433	—	3	1	no	—
616	#433	—	3	1	no	—
617	#433	—	3	1	no	—
618	#433	—	3	1	no	—
619	#433	—	3	1	no	—
620	#433	—	3	1	no	—
621	#433	—	3	1	no	—
622	#433	—	3	1	no	—
623	#433	—	3	1	no	—
624	#433	—	3	1	no	—
625	#433	—	3	1	no	—
626	#433	—	3	1	no	—
627	#433	C₂×D₃	1	1	yes	characteristic
628	#433	C₂×D₃	1	1	yes	characteristic, complemented
629	#432	—	3	1	no	—
630	#432	—	3	1	no	—
631	#432	—	3	1	no	—
632	#432	—	3	1	no	—
633	#432	—	3	1	no	—
634	#432	—	3	1	no	—
635	#432	—	3	1	no	—
636	#432	C₂×D₃	1	1	yes	characteristic, complemented
637	#431	—	3	1	no	—
638	#431	—	3	1	no	—
639	#431	—	3	1	no	—
640	#431	—	3	1	no	—
641	#431	—	3	1	no	—
642	#431	—	3	1	no	—
643	#431	—	3	1	no	—
644	#431	—	3	1	no	—
645	#424	—	3	1	no	—
646	#424	—	3	1	no	—
647	#424	—	3	1	no	—
648	#424	—	3	1	no	—
649	#424	—	3	1	no	—
650	#424	—	3	1	no	—
651	#424	—	3	1	no	—
652	#424	—	3	1	no	—
653	#423	—	3	1	no	—
654	#423	—	3	1	no	—
655	C₂×C₄⋊C₈	—	3	1	no	—
656	C₂×C₄⋊C₈	—	3	1	no	—
657	#408	—	3	1	no	—
658	#408	—	3	1	no	—
659	#408	—	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	#407	—	3	1	no	—
666	#407	—	3	1	no	—
667	C₂×C₂²⋊C₈	—	3	1	no	—
668	C₂×C₂²⋊C₈	—	3	1	no	—
669	#405	—	3	1	no	—
670	#405	—	3	1	no	—
671	#405	—	3	1	no	—
672	#405	—	3	1	no	—
673	#405	—	3	1	no	—
674	#405	—	3	1	no	—
675	#405	C₂×D₃	1	1	yes	characteristic
676	#405	C₂×D₃	1	1	yes	characteristic, complemented
677	C₄×M₁₆	—	3	1	no	—
678	C₄×M₁₆	—	3	1	no	—
679	C₂×#97	—	3	1	no	—
680	C₂×C₄×C₈	C₂×D₃	1	1	yes	characteristic, complemented
681	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
686	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
689	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
690	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
691	C₂×#67	C₂²×C₄	1	1	yes	characteristic
692	C₂×#67	C₂²×C₄	1	1	yes	characteristic
693	C₂×#67	C₂²×C₄	1	1	yes	characteristic
694	C₂×#67	C₂²×C₄	1	1	yes	characteristic
695	C₂×#67	C₂²×C₄	1	1	yes	characteristic
696	C₂×#67	C₂²×C₄	1	1	yes	characteristic
697	C₂×#67	C₂²×C₄	1	1	yes	characteristic
698	C₂×#67	C₂²×C₄	1	1	yes	characteristic
699	C₂×#67	C₂²×C₄	1	1	yes	characteristic
700	C₂×#67	C₂²×C₄	1	1	yes	characteristic
701	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
702	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
703	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
704	#235	—	4	1	no	—
705	#235	—	4	1	no	—
706	#235	—	4	1	no	—
707	#235	—	4	1	no	—
708	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
709	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
710	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
711	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
712	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₄×D₃	—	4	1	no	—
714	C₂×C₄×D₃	—	4	1	no	—
715	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
716	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
718	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
719	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
720	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
721	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
723	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
724	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
725	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
726	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
727	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
728	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
729	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
730	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
731	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
732	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
733	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
734	C₃×M₁₆	—	4	1	no	—
735	C₃×M₁₆	—	4	1	no	—
736	C₂×C₃×C₈	—	4	1	no	—
737	C₂×C₃×C₈	—	4	1	no	—
738	C₂×C₃×C₈	—	4	1	no	—
739	C₂×C₃×C₈	—	4	1	no	—
740	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
741	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
742	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
743	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
744	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
745	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
746	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
747	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
748	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
749	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
765	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
769	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
770	C₃×C₄²	C₂⁴	1	1	yes	characteristic
771	C₃×C₄²	C₂⁴	1	1	yes	characteristic
772	C₃×C₄²	C₂⁴	1	1	yes	characteristic
773	C₃×C₄²	C₂⁴	1	1	yes	characteristic
774	#217	C₂²×C₄	1	1	yes	characteristic
775	#217	C₂²×C₄	1	1	yes	characteristic
776	#217	C₂²×C₄	1	1	yes	characteristic
777	#217	C₂²×C₄	1	1	yes	characteristic
778	#217	C₂²×C₄	1	1	yes	characteristic
779	#217	C₂²×C₄	1	1	yes	characteristic
780	#217	C₂²×C₄	1	1	yes	characteristic
781	#217	C₂²×C₄	1	1	yes	characteristic
782	#217	C₂²×C₄	1	1	yes	characteristic
783	#217	C₂²×C₄	1	1	yes	characteristic
784	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
785	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
786	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
787	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
788	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
789	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
793	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
798	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
799	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
800	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
801	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
802	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
803	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
804	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
805	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
806	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
807	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
808	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
809	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
810	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
811	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
812	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
813	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
814	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
815	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
816	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
817	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
818	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
819	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
820	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
821	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
822	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
823	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
824	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
825	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
826	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
827	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
828	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
829	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
830	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
831	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
832	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
833	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
834	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
835	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
836	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
837	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
838	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
839	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
840	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
841	Dic₃⋊C₄	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	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
848	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
849	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
850	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
851	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
852	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
853	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
854	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
855	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
856	#208	—	4	1	no	—
857	#208	—	4	1	no	—
858	#208	—	4	1	no	—
859	#208	—	4	1	no	—
860	C₂×C₃⋊C₈	—	4	1	no	—
861	C₂×C₃⋊C₈	—	4	1	no	—
862	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
863	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
864	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
865	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
866	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
867	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
868	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
869	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
870	ΓL(1,𝔽₂₅)	—	4	1	no	—
871	ΓL(1,𝔽₂₅)	—	4	1	no	—
872	ΓL(1,𝔽₂₅)	—	4	1	no	—
873	ΓL(1,𝔽₂₅)	—	4	1	no	—
874	ΓL(1,𝔽₂₅)	—	4	1	no	—
875	ΓL(1,𝔽₂₅)	—	4	1	no	—
876	D₃×C₈	—	4	1	no	—
877	D₃×C₈	—	4	1	no	—
878	D₃×C₈	—	4	1	no	—
879	D₃×C₈	—	4	1	no	—
880	D₃×C₈	—	4	1	no	—
881	D₃×C₈	—	4	1	no	—
882	C₂×#41	—	3	1	no	—
883	C₂×#41	—	3	1	no	—
884	C₂³×C₄	—	3	1	no	—
885	C₂×M₁₆	—	3	1	no	—
886	C₂×M₁₆	—	3	1	no	—
887	C₂×M₁₆	—	3	1	no	—
888	C₂×M₁₆	—	3	1	no	—
889	C₂×M₁₆	—	3	1	no	—
890	C₂×M₁₆	—	3	1	no	—
891	C₂×M₁₆	—	3	1	no	—
892	C₂×M₁₆	—	3	1	no	—
893	C₂×M₁₆	—	3	1	no	—
894	C₂×M₁₆	—	3	1	no	—
895	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
896	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
897	C₂²×C₈	—	3	1	no	—
898	C₂²×C₈	—	3	1	no	—
899	C₂²×C₈	—	3	1	no	—
900	C₂²×C₈	—	3	1	no	—
901	C₂²×C₈	—	3	1	no	—
902	C₂²×C₈	—	3	1	no	—
903	C₂²×C₈	—	3	1	no	—
904	C₂²×C₈	—	3	1	no	—
905	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
906	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
907	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
908	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
909	C₄⋊Q₈	—	3	1	no	—
910	C₄⋊Q₈	—	3	1	no	—
911	C₄⋊Q₈	—	3	1	no	—
912	#127	—	3	1	no	—
913	#126	—	3	1	no	—
914	#126	—	3	1	no	—
915	#126	—	3	1	no	—
916	#126	—	3	1	no	—
917	#126	—	3	1	no	—
918	#126	—	3	1	no	—
919	#126	—	3	1	no	—
920	#126	—	3	1	no	—
921	#126	—	3	1	no	—
922	#126	—	3	1	no	—
923	#126	—	3	1	no	—
924	#126	—	3	1	no	—
925	#126	—	3	1	no	—
926	#126	—	3	1	no	—
927	#126	C₄×D₃	1	1	yes	characteristic
928	#126	C₄×D₃	1	1	yes	characteristic
929	#125	—	3	1	no	—
930	#125	—	3	1	no	—
931	#125	—	3	1	no	—
932	#125	—	3	1	no	—
933	#125	—	3	1	no	—
934	#125	—	3	1	no	—
935	#125	—	3	1	no	—
936	#125	—	3	1	no	—
937	#125	—	3	1	no	—
938	#125	C₄×D₃	1	1	yes	characteristic
939	#124	—	3	1	no	—
940	#124	—	3	1	no	—
941	#124	—	3	1	no	—
942	#124	—	3	1	no	—
943	#124	—	3	1	no	—
944	#124	—	3	1	no	—
945	#124	—	3	1	no	—
946	#124	—	3	1	no	—
947	#124	—	3	1	no	—
948	#124	C₄×D₃	1	1	yes	characteristic
949	#123	—	3	1	no	—
950	#123	—	3	1	no	—
951	#123	—	3	1	no	—
952	#123	—	3	1	no	—
953	#123	—	3	1	no	—
954	#123	—	3	1	no	—
955	#123	—	3	1	no	—
956	#123	—	3	1	no	—
957	#123	—	3	1	no	—
958	#123	—	3	1	no	—
959	#123	—	3	1	no	—
960	#123	—	3	1	no	—
961	#123	—	3	1	no	—
962	#123	—	3	1	no	—
963	#123	—	3	1	no	—
964	#123	—	3	1	no	—
965	#123	—	3	1	no	—
966	#123	—	3	1	no	—
967	#123	C₄×D₃	1	1	yes	characteristic
968	#123	C₄×D₃	1	1	yes	characteristic
969	C₂²⋊Q₈	—	3	1	no	—
970	C₂²⋊Q₈	—	3	1	no	—
971	C₂²⋊Q₈	—	3	1	no	—
972	C₂²⋊Q₈	—	3	1	no	—
973	C₂²⋊Q₈	—	3	1	no	—
974	C₂²⋊Q₈	—	3	1	no	—
975	C₂²⋊Q₈	—	3	1	no	—
976	C₂²⋊Q₈	—	3	1	no	—
977	C₂²⋊Q₈	—	3	1	no	—
978	C₂²⋊Q₈	—	3	1	no	—
979	C₂²⋊Q₈	—	3	1	no	—
980	C₂²⋊Q₈	—	3	1	no	—
981	C₂²⋊Q₈	—	3	1	no	—
982	C₂²⋊Q₈	—	3	1	no	—
983	C₂²⋊Q₈	—	3	1	no	—
984	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
985	#121	—	3	1	no	—
986	#121	—	3	1	no	—
987	#121	—	3	1	no	—
988	#121	—	3	1	no	—
989	#121	—	3	1	no	—
990	#121	—	3	1	no	—
991	#121	—	3	1	no	—
992	#121	—	3	1	no	—
993	#121	—	3	1	no	—
994	#121	—	3	1	no	—
995	#121	—	3	1	no	—
996	#121	—	3	1	no	—
997	#121	—	3	1	no	—
998	#121	—	3	1	no	—
999	#121	—	3	1	no	—
1000	#121	C₄×D₃	1	1	yes	characteristic
1001	#120	—	3	1	no	—
1002	#120	—	3	1	no	—
1003	#120	—	3	1	no	—
1004	#120	—	3	1	no	—
1005	C₄×Q₈	—	3	1	no	—
1006	C₄×Q₈	—	3	1	no	—
1007	C₄×Q₈	—	3	1	no	—
1008	C₄×Q₈	—	3	1	no	—
1009	C₄×Q₈	—	3	1	no	—
1010	C₄×Q₈	—	3	1	no	—
1011	C₄×Q₈	—	3	1	no	—
1012	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1013	C₄×D₄	—	3	1	no	—
1014	C₄×D₄	—	3	1	no	—
1015	C₄×D₄	—	3	1	no	—
1016	C₄×D₄	—	3	1	no	—
1017	C₄×D₄	—	3	1	no	—
1018	C₄×D₄	—	3	1	no	—
1019	C₄×D₄	—	3	1	no	—
1020	C₄×D₄	—	3	1	no	—
1021	C₄×D₄	—	3	1	no	—
1022	C₄×D₄	—	3	1	no	—
1023	C₄×D₄	—	3	1	no	—
1024	C₄×D₄	—	3	1	no	—
1025	C₄×D₄	—	3	1	no	—
1026	C₄×D₄	—	3	1	no	—
1027	C₄×D₄	—	3	1	no	—
1028	C₄×D₄	—	3	1	no	—
1029	C₄×D₄	—	3	1	no	—
1030	C₄×D₄	—	3	1	no	—
1031	C₄×D₄	—	3	1	no	—
1032	C₄×D₄	—	3	1	no	—
1033	C₄×D₄	—	3	1	no	—
1034	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1035	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1036	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1037	#117	—	3	1	no	—
1038	#117	—	3	1	no	—
1039	#117	—	3	1	no	—
1040	#117	—	3	1	no	—
1041	#117	—	3	1	no	—
1042	#117	—	3	1	no	—
1043	#117	—	3	1	no	—
1044	#117	—	3	1	no	—
1045	#117	—	3	1	no	—
1046	#117	—	3	1	no	—
1047	#117	—	3	1	no	—
1048	#117	—	3	1	no	—
1049	#117	C₂²×D₃	1	1	yes	characteristic
1050	#117	C₂²×D₃	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	—	3	1	no	—
1052	C₂×C₄⋊C₄	—	3	1	no	—
1053	C₂×C₂²⋊C₄	—	3	1	no	—
1054	C₂×C₂²⋊C₄	—	3	1	no	—
1055	C₂×C₄²	—	3	1	no	—
1056	C₂×C₄²	—	3	1	no	—
1057	C₂×C₄²	—	3	1	no	—
1058	C₂×C₄²	—	3	1	no	—
1059	C₂×C₄²	—	3	1	no	—
1060	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1061	C₄⋊C₈	—	3	1	no	—
1062	C₄⋊C₈	—	3	1	no	—
1063	C₄⋊C₈	—	3	1	no	—
1064	C₄⋊C₈	—	3	1	no	—
1065	C₄⋊C₈	—	3	1	no	—
1066	C₄⋊C₈	—	3	1	no	—
1067	C₄⋊C₈	—	3	1	no	—
1068	C₄⋊C₈	—	3	1	no	—
1069	C₄⋊C₈	—	3	1	no	—
1070	C₄⋊C₈	—	3	1	no	—
1071	C₄⋊C₈	—	3	1	no	—
1072	C₄⋊C₈	—	3	1	no	—
1073	C₄⋊C₈	—	3	1	no	—
1074	C₄⋊C₈	—	3	1	no	—
1075	C₄⋊C₈	—	3	1	no	—
1076	C₄⋊C₈	—	3	1	no	—
1077	C₄⋊C₈	—	3	1	no	—
1078	C₄⋊C₈	—	3	1	no	—
1079	C₄⋊C₈	—	3	1	no	—
1080	C₄⋊C₈	—	3	1	no	—
1081	C₄⋊C₈	—	3	1	no	—
1082	C₄⋊C₈	—	3	1	no	—
1083	C₄⋊C₈	—	3	1	no	—
1084	C₄⋊C₈	—	3	1	no	—
1085	C₄⋊C₈	—	3	1	no	—
1086	C₄⋊C₈	—	3	1	no	—
1087	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1088	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1089	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1090	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1091	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1092	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1093	C₂²⋊C₈	—	3	1	no	—
1094	C₂²⋊C₈	—	3	1	no	—
1095	C₂²⋊C₈	—	3	1	no	—
1096	C₂²⋊C₈	—	3	1	no	—
1097	C₂²⋊C₈	—	3	1	no	—
1098	C₂²⋊C₈	—	3	1	no	—
1099	C₂²⋊C₈	—	3	1	no	—
1100	C₂²⋊C₈	—	3	1	no	—
1101	C₂²⋊C₈	—	3	1	no	—
1102	C₂²⋊C₈	—	3	1	no	—
1103	C₂²⋊C₈	—	3	1	no	—
1104	C₂²⋊C₈	—	3	1	no	—
1105	C₂²⋊C₈	—	3	1	no	—
1106	C₂²⋊C₈	—	3	1	no	—
1107	C₂²⋊C₈	—	3	1	no	—
1108	C₂²⋊C₈	—	3	1	no	—
1109	C₂²⋊C₈	—	3	1	no	—
1110	C₂²⋊C₈	—	3	1	no	—
1111	C₂²⋊C₈	—	3	1	no	—
1112	C₂²⋊C₈	—	3	1	no	—
1113	C₂²⋊C₈	—	3	1	no	—
1114	C₂²⋊C₈	—	3	1	no	—
1115	C₂²⋊C₈	—	3	1	no	—
1116	C₂²⋊C₈	—	3	1	no	—
1117	C₂²⋊C₈	—	3	1	no	—
1118	C₂²⋊C₈	—	3	1	no	—
1119	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1120	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1121	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1122	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1123	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1124	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1125	#97	—	3	1	no	—
1126	#97	—	3	1	no	—
1127	#97	—	3	1	no	—
1128	#97	—	3	1	no	—
1129	#97	—	3	1	no	—
1130	#97	—	3	1	no	—
1131	#97	—	3	1	no	—
1132	#97	—	3	1	no	—
1133	#97	—	3	1	no	—
1134	#97	—	3	1	no	—
1135	#97	—	3	1	no	—
1136	#97	—	3	1	no	—
1137	#97	C₂²×D₃	1	1	yes	characteristic
1138	#97	C₂²×D₃	1	1	yes	characteristic
1139	#97	C₂²×D₃	1	1	yes	characteristic
1140	#97	C₂²×D₃	1	1	yes	characteristic
1141	C₄×C₈	—	3	1	no	—
1142	C₄×C₈	—	3	1	no	—
1143	C₄×C₈	—	3	1	no	—
1144	C₄×C₈	—	3	1	no	—
1145	C₄×C₈	—	3	1	no	—
1146	C₄×C₈	—	3	1	no	—
1147	C₄×C₈	—	3	1	no	—
1148	C₄×C₈	—	3	1	no	—
1149	C₄×C₈	—	3	1	no	—
1150	C₄×C₈	—	3	1	no	—
1151	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1152	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1153	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1154	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1155	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1156	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1157	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1158	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1159	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1160	C₂²×D₃	—	4	1	no	—
1161	C₂²×D₃	—	4	1	no	—
1162	C₂²×D₃	—	4	1	no	—
1163	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1164	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1165	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1166	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1167	C₃×Q₈	—	4	1	no	—
1168	C₃×D₄	—	4	1	no	—
1169	C₃×D₄	—	4	1	no	—
1170	C₃×D₄	—	4	1	no	—
1171	C₂×C₃×C₄	—	2	1	no	—
1172	C₂×C₃×C₄	—	2	1	no	—
1173	C₂×C₃×C₄	—	2	1	no	—
1174	C₂×C₃×C₄	—	2	1	no	—
1175	C₂×C₃×C₄	—	2	1	no	—
1176	C₂×C₃×C₄	—	2	1	no	—
1177	C₂×C₃×C₄	—	4	1	no	—
1178	C₂×C₃×C₄	—	4	1	no	—
1179	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1180	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1181	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1182	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1183	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1184	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1185	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1186	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1187	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1188	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1189	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1190	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1191	#67	—	4	1	no	—
1192	#67	—	4	1	no	—
1193	#67	—	4	1	no	—
1194	#67	—	4	1	no	—
1195	#67	—	4	1	no	—
1196	#67	—	4	1	no	—
1197	#67	—	4	1	no	—
1198	#67	—	4	1	no	—
1199	#67	—	4	1	no	—
1200	#67	—	4	1	no	—
1201	C₂×Dic₃	—	4	1	no	—
1202	C₂×Dic₃	—	4	1	no	—
1203	C₂×Dic₃	—	4	1	no	—
1204	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1205	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1206	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1207	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1208	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1209	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1210	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1211	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1212	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1213	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1214	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1215	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1216	D₁₂	—	4	1	no	—
1217	D₁₂	—	4	1	no	—
1218	D₁₂	—	4	1	no	—
1219	D₁₂	—	4	1	no	—
1220	D₁₂	—	4	1	no	—
1221	C₄×D₃	—	2	1	no	—
1222	C₄×D₃	—	2	1	no	—
1223	C₄×D₃	—	2	1	no	—
1224	C₄×D₃	—	2	1	no	—
1225	C₄×D₃	—	2	1	no	—
1226	C₄×D₃	—	2	1	no	—
1227	C₄×D₃	—	2	1	no	—
1228	C₄×D₃	—	2	1	no	—
1229	C₄×D₃	—	4	1	no	—
1230	C₄×D₃	—	4	1	no	—
1231	C₄×D₃	—	4	1	no	—
1232	C₄×D₃	—	4	1	no	—
1233	C₄×D₃	—	4	1	no	—
1234	C₄×D₃	—	4	1	no	—
1235	C₄×D₃	—	4	1	no	—
1236	C₄×D₃	—	4	1	no	—
1237	C₄×D₃	—	4	1	no	—
1238	C₄×D₃	—	4	1	no	—
1239	Dic₆	—	4	1	no	—
1240	Dic₆	—	4	1	no	—
1241	Dic₆	—	4	1	no	—
1242	Dic₆	—	4	1	no	—
1243	Dic₆	—	4	1	no	—
1244	C₃×C₈	—	2	1	no	—
1245	C₃×C₈	—	2	1	no	—
1246	C₃×C₈	—	2	1	no	—
1247	C₃×C₈	—	2	1	no	—
1248	C₃×C₈	—	2	1	no	—
1249	C₃×C₈	—	2	1	no	—
1250	C₃×C₈	—	2	1	no	—
1251	C₃×C₈	—	2	1	no	—
1252	C₃⋊C₈	—	2	1	no	—
1253	C₃⋊C₈	—	2	1	no	—
1254	C₃⋊C₈	—	2	1	no	—
1255	C₃⋊C₈	—	2	1	no	—
1256	C₃⋊C₈	—	2	1	no	—
1257	C₃⋊C₈	—	2	1	no	—
1258	C₃⋊C₈	—	2	1	no	—
1259	C₃⋊C₈	—	2	1	no	—
1260	C₂⁴	—	3	1	no	—
1261	#41	—	12	1	no	—
1262	#41	—	12	1	no	—
1263	#41	—	12	1	no	—
1264	#41	—	12	1	no	—
1265	C₂×Q₈	—	3	1	no	—
1266	C₂×Q₈	—	3	1	no	—
1267	C₂×Q₈	—	3	1	no	—
1268	C₂×Q₈	—	3	1	no	—
1269	C₂×Q₈	—	3	1	no	—
1270	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1271	C₂×D₄	—	3	1	no	—
1272	C₂×D₄	—	3	1	no	—
1273	C₂×D₄	—	3	1	no	—
1274	C₂×D₄	—	3	1	no	—
1275	C₂×D₄	—	3	1	no	—
1276	C₂×D₄	—	3	1	no	—
1277	C₂×D₄	—	3	1	no	—
1278	C₂×D₄	—	3	1	no	—
1279	C₂×D₄	—	3	1	no	—
1280	C₂×D₄	—	3	1	no	—
1281	C₂×D₄	—	3	1	no	—
1282	C₂×D₄	—	3	1	no	—
1283	C₂×D₄	—	3	1	no	—
1284	C₂×D₄	—	3	1	no	—
1285	C₂×D₄	—	3	1	no	—
1286	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1287	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1288	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1289	C₂²×C₄	—	3	1	no	—
1290	C₂²×C₄	—	3	1	no	—
1291	C₂²×C₄	—	3	1	no	—
1292	C₂²×C₄	—	3	1	no	—
1293	C₂²×C₄	—	3	1	no	—
1294	C₂²×C₄	—	3	1	no	—
1295	C₂²×C₄	—	3	1	no	—
1296	C₂²×C₄	—	3	1	no	—
1297	C₂²×C₄	—	3	1	no	—
1298	C₂²×C₄	—	3	1	no	—
1299	C₂²×C₄	—	3	1	no	—
1300	C₂²×C₄	—	3	1	no	—
1301	C₂²×C₄	—	3	1	no	—
1302	C₂²×C₄	—	3	1	no	—
1303	C₂²×C₄	—	3	1	no	—
1304	C₂²×C₄	—	3	1	no	—
1305	C₂²×C₄	—	3	1	no	—
1306	C₂²×C₄	—	12	1	no	—
1307	C₂²×C₄	—	12	1	no	—
1308	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1309	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1310	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1311	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1312	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1313	M₁₆	—	4	1	no	—
1314	M₁₆	—	4	1	no	—
1315	M₁₆	—	12	1	no	—
1316	M₁₆	—	12	1	no	—
1317	M₁₆	—	12	1	no	—
1318	M₁₆	—	12	1	no	—
1319	M₁₆	—	12	1	no	—
1320	M₁₆	—	12	1	no	—
1321	M₁₆	—	12	1	no	—
1322	M₁₆	—	12	1	no	—
1323	M₁₆	—	12	1	no	—
1324	M₁₆	—	12	1	no	—
1325	C₂×C₈	—	3	1	no	—
1326	C₂×C₈	—	3	1	no	—
1327	C₂×C₈	—	3	1	no	—
1328	C₂×C₈	—	3	1	no	—
1329	C₂×C₈	—	3	1	no	—
1330	C₂×C₈	—	3	1	no	—
1331	C₂×C₈	—	3	1	no	—
1332	C₂×C₈	—	3	1	no	—
1333	C₂×C₈	—	4	1	no	—
1334	C₂×C₈	—	4	1	no	—
1335	C₂×C₈	—	4	1	no	—
1336	C₂×C₈	—	4	1	no	—
1337	C₂×C₈	—	12	1	no	—
1338	C₂×C₈	—	12	1	no	—
1339	C₂×C₈	—	12	1	no	—
1340	C₂×C₈	—	12	1	no	—
1341	C₂×C₈	—	12	1	no	—
1342	C₂×C₈	—	12	1	no	—
1343	C₂×C₈	—	12	1	no	—
1344	C₂×C₈	—	12	1	no	—
1345	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1346	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1347	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1348	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1349	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1350	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1351	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1352	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1353	C₄⋊C₄	—	3	1	no	—
1354	C₄⋊C₄	—	3	1	no	—
1355	C₄⋊C₄	—	3	1	no	—
1356	C₄⋊C₄	—	3	1	no	—
1357	C₄⋊C₄	—	3	1	no	—
1358	C₄⋊C₄	—	3	1	no	—
1359	C₄⋊C₄	—	3	1	no	—
1360	C₄⋊C₄	—	3	1	no	—
1361	C₄⋊C₄	—	3	1	no	—
1362	C₄⋊C₄	—	3	1	no	—
1363	C₄⋊C₄	—	3	1	no	—
1364	C₄⋊C₄	—	3	1	no	—
1365	C₄⋊C₄	—	3	1	no	—
1366	C₄⋊C₄	—	3	1	no	—
1367	C₄⋊C₄	—	3	1	no	—
1368	C₄⋊C₄	—	3	1	no	—
1369	C₄⋊C₄	—	3	1	no	—
1370	C₄⋊C₄	—	3	1	no	—
1371	C₄⋊C₄	—	3	1	no	—
1372	C₄⋊C₄	—	3	1	no	—
1373	C₄⋊C₄	—	3	1	no	—
1374	C₄⋊C₄	—	3	1	no	—
1375	C₄⋊C₄	—	3	1	no	—
1376	C₄⋊C₄	—	3	1	no	—
1377	C₄⋊C₄	—	3	1	no	—
1378	C₄⋊C₄	—	3	1	no	—
1379	C₄⋊C₄	—	3	1	no	—
1380	C₄⋊C₄	—	3	1	no	—
1381	C₄⋊C₄	—	3	1	no	—
1382	C₄⋊C₄	—	3	1	no	—
1383	C₄⋊C₄	—	3	1	no	—
1384	C₄⋊C₄	—	3	1	no	—
1385	C₄⋊C₄	—	3	1	no	—
1386	C₄⋊C₄	—	3	1	no	—
1387	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1388	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1389	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1390	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1392	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1395	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1397	C₂²⋊C₄	—	3	1	no	—
1398	C₂²⋊C₄	—	3	1	no	—
1399	C₂²⋊C₄	—	3	1	no	—
1400	C₂²⋊C₄	—	3	1	no	—
1401	C₂²⋊C₄	—	3	1	no	—
1402	C₂²⋊C₄	—	3	1	no	—
1403	C₂²⋊C₄	—	3	1	no	—
1404	C₂²⋊C₄	—	3	1	no	—
1405	C₂²⋊C₄	—	3	1	no	—
1406	C₂²⋊C₄	—	3	1	no	—
1407	C₂²⋊C₄	—	3	1	no	—
1408	C₂²⋊C₄	—	3	1	no	—
1409	C₂²⋊C₄	—	3	1	no	—
1410	C₂²⋊C₄	—	3	1	no	—
1411	C₂²⋊C₄	—	3	1	no	—
1412	C₂²⋊C₄	—	3	1	no	—
1413	C₂²⋊C₄	—	3	1	no	—
1414	C₂²⋊C₄	—	3	1	no	—
1415	C₂²⋊C₄	—	3	1	no	—
1416	C₂²⋊C₄	—	3	1	no	—
1417	C₂²⋊C₄	—	3	1	no	—
1418	C₂²⋊C₄	—	3	1	no	—
1419	C₂²⋊C₄	—	3	1	no	—
1420	C₂²⋊C₄	—	3	1	no	—
1421	C₂²⋊C₄	—	3	1	no	—
1422	C₂²⋊C₄	—	3	1	no	—
1423	C₂²⋊C₄	—	3	1	no	—
1424	C₂²⋊C₄	—	3	1	no	—
1425	C₂²⋊C₄	—	3	1	no	—
1426	C₂²⋊C₄	—	3	1	no	—
1427	C₂²⋊C₄	—	3	1	no	—
1428	C₂²⋊C₄	—	3	1	no	—
1429	C₂²⋊C₄	—	3	1	no	—
1430	C₂²⋊C₄	—	3	1	no	—
1431	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1432	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1433	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1434	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1435	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1436	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1437	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1438	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1439	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1440	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1441	C₄²	—	3	1	no	—
1442	C₄²	—	3	1	no	—
1443	C₄²	—	3	1	no	—
1444	C₄²	—	3	1	no	—
1445	C₄²	—	3	1	no	—
1446	C₄²	—	3	1	no	—
1447	C₄²	—	3	1	no	—
1448	C₄²	—	3	1	no	—
1449	C₄²	—	3	1	no	—
1450	C₄²	—	3	1	no	—
1451	C₄²	—	3	1	no	—
1452	C₄²	—	3	1	no	—
1453	C₄²	—	3	1	no	—
1454	C₄²	—	3	1	no	—
1455	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1456	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1457	C₄²	C₂³×D₃	1	1	yes	characteristic
1458	C₄²	C₂³×D₃	1	1	yes	characteristic
1459	C₄²	C₂³×D₃	1	1	yes	characteristic
1460	C₄²	C₂³×D₃	1	1	yes	characteristic
1461	C₂²×C₃	—	2	1	no	—
1462	C₂²×C₃	—	2	1	no	—
1463	C₂²×C₃	—	2	1	no	—
1464	C₂²×C₃	—	2	1	no	—
1465	C₂²×C₃	—	2	1	no	—
1466	C₂²×C₃	—	2	1	no	—
1467	C₂²×C₃	—	2	1	no	—
1468	C₂²×C₃	—	2	1	no	—
1469	C₂²×C₃	—	2	1	no	—
1470	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1471	C₂×D₃	—	2	1	no	—
1472	C₂×D₃	—	2	1	no	—
1473	C₂×D₃	—	2	1	no	—
1474	C₂×D₃	—	2	1	no	—
1475	C₂×D₃	—	2	1	no	—
1476	C₂×D₃	—	2	1	no	—
1477	C₂×D₃	—	2	1	no	—
1478	C₂×D₃	—	2	1	no	—
1479	C₂×D₃	—	2	1	no	—
1480	C₂×D₃	—	2	1	no	—
1481	C₂×D₃	—	2	1	no	—
1482	C₂×D₃	—	2	1	no	—
1483	C₂×D₃	—	8	2	no	—
1484	C₃×C₄	—	2	1	no	—
1485	C₃×C₄	—	2	1	no	—
1486	C₃×C₄	—	2	1	no	—
1487	C₃×C₄	—	2	1	no	—
1488	C₃×C₄	—	2	1	no	—
1489	C₃×C₄	—	2	1	no	—
1490	C₃×C₄	—	2	1	no	—
1491	C₃×C₄	—	2	1	no	—
1492	C₃×C₄	—	2	1	no	—
1493	C₃×C₄	—	2	1	no	—
1494	C₃×C₄	—	2	1	no	—
1495	C₃×C₄	#585	1	1	yes	characteristic
1496	C₃×C₄	#585	1	1	yes	characteristic
1497	Dic₃	—	2	1	no	—
1498	Dic₃	—	2	1	no	—
1499	Dic₃	—	2	1	no	—
1500	Dic₃	—	2	1	no	—
1501	Dic₃	—	2	1	no	—
1502	Dic₃	—	2	1	no	—
1503	Dic₃	—	2	1	no	—
1504	Dic₃	—	2	1	no	—
1505	Dic₃	—	2	1	no	—
1506	Dic₃	—	2	1	no	—
1507	Dic₃	—	2	1	no	—
1508	Dic₃	—	2	1	no	—
1509	C₂³	—	3	1	no	—
1510	C₂³	—	3	1	no	—
1511	C₂³	—	3	1	no	—
1512	C₂³	—	3	1	no	—
1513	C₂³	—	12	1	no	—
1514	C₂³	—	12	1	no	—
1515	C₂³	—	12	1	no	—
1516	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1517	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1518	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1519	Q₈	—	4	1	no	—
1520	Q₈	—	12	1	no	—
1521	Q₈	—	12	1	no	—
1522	Q₈	—	12	1	no	—
1523	Q₈	—	12	1	no	—
1524	Q₈	—	12	1	no	—
1525	D₄	—	4	1	no	—
1526	D₄	—	4	1	no	—
1527	D₄	—	4	1	no	—
1528	D₄	—	12	1	no	—
1529	D₄	—	12	1	no	—
1530	D₄	—	12	1	no	—
1531	D₄	—	12	1	no	—
1532	D₄	—	12	1	no	—
1533	D₄	—	12	1	no	—
1534	D₄	—	12	1	no	—
1535	D₄	—	12	1	no	—
1536	D₄	—	12	1	no	—
1537	D₄	—	12	1	no	—
1538	D₄	—	12	1	no	—
1539	D₄	—	12	1	no	—
1540	D₄	—	12	1	no	—
1541	D₄	—	12	1	no	—
1542	D₄	—	12	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	3	1	no	—
1550	C₂×C₄	—	3	1	no	—
1551	C₂×C₄	—	3	1	no	—
1552	C₂×C₄	—	3	1	no	—
1553	C₂×C₄	—	3	1	no	—
1554	C₂×C₄	—	3	1	no	—
1555	C₂×C₄	—	3	1	no	—
1556	C₂×C₄	—	3	1	no	—
1557	C₂×C₄	—	3	1	no	—
1558	C₂×C₄	—	3	1	no	—
1559	C₂×C₄	—	3	1	no	—
1560	C₂×C₄	—	3	1	no	—
1561	C₂×C₄	—	4	1	no	—
1562	C₂×C₄	—	4	1	no	—
1563	C₂×C₄	—	6	1	no	—
1564	C₂×C₄	—	6	1	no	—
1565	C₂×C₄	—	6	1	no	—
1566	C₂×C₄	—	6	1	no	—
1567	C₂×C₄	—	6	1	no	—
1568	C₂×C₄	—	6	1	no	—
1569	C₂×C₄	—	6	1	no	—
1570	C₂×C₄	—	6	1	no	—
1571	C₂×C₄	—	12	1	no	—
1572	C₂×C₄	—	12	1	no	—
1573	C₂×C₄	—	12	1	no	—
1574	C₂×C₄	—	12	1	no	—
1575	C₂×C₄	—	12	1	no	—
1576	C₂×C₄	—	12	1	no	—
1577	C₂×C₄	—	12	1	no	—
1578	C₂×C₄	—	12	1	no	—
1579	C₂×C₄	—	12	1	no	—
1580	C₂×C₄	—	12	1	no	—
1581	C₂×C₄	—	12	1	no	—
1582	C₂×C₄	—	12	1	no	—
1583	C₂×C₄	—	12	1	no	—
1584	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1585	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1586	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1587	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1588	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1589	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1590	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1591	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1592	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1593	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1594	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1595	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1596	C₈	—	2	1	no	—
1597	C₈	—	2	1	no	—
1598	C₈	—	2	1	no	—
1599	C₈	—	2	1	no	—
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	6	1	no	—
1605	C₈	—	6	1	no	—
1606	C₈	—	6	1	no	—
1607	C₈	—	6	1	no	—
1608	C₈	—	6	1	no	—
1609	C₈	—	6	1	no	—
1610	C₈	—	6	1	no	—
1611	C₈	—	6	1	no	—
1612	C₂×C₃	—	4	1	no	—
1613	C₂×C₃	—	4	1	no	—
1614	C₂×C₃	—	4	1	no	—
1615	C₂×C₃	#3428	1	1	yes	characteristic
1616	C₂×C₃	#3573	1	1	yes	characteristic
1617	C₂×C₃	#3573	1	1	yes	characteristic
1618	D₃	—	4	1	no	—
1619	D₃	—	4	1	no	—
1620	D₃	—	4	1	no	—
1621	D₃	—	4	1	no	—
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	6	1	no	—
1632	C₂²	—	6	1	no	—
1633	C₂²	—	6	1	no	—
1634	C₂²	—	6	1	no	—
1635	C₂²	—	6	1	no	—
1636	C₂²	—	6	1	no	—
1637	C₂²	—	6	1	no	—
1638	C₂²	—	6	1	no	—
1639	C₂²	—	6	1	no	—
1640	C₂²	—	6	1	no	—
1641	C₂²	—	6	1	no	—
1642	C₂²	—	6	1	no	—
1643	C₂²	—	24	2	no	—
1644	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	6	1	no	—
1657	C₄	—	6	1	no	—
1658	C₄	—	6	1	no	—
1659	C₄	—	6	1	no	—
1660	C₄	—	6	1	no	—
1661	C₄	—	6	1	no	—
1662	C₄	—	6	1	no	—
1663	C₄	—	6	1	no	—
1664	C₄	—	6	1	no	—
1665	C₄	—	6	1	no	—
1666	C₄	—	6	1	no	—
1667	C₄	—	6	1	no	—
1668	C₄	#5964	1	1	yes	characteristic
1669	C₄	#5964	1	1	yes	characteristic
1670	C₃	#60296	1	1	yes	characteristic, complemented, Sylow
1671	C₂	—	4	1	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	1	no	—
1674	C₂	—	12	1	no	—
1675	C₂	—	12	1	no	—
1676	C₂	—	12	1	no	—
1677	C₂	—	12	1	no	—
1678	C₂	#85834	1	1	yes	characteristic
1679	C₂	#87160	1	1	yes	characteristic
1680	C₂	#87160	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2966	C₂
prime radical	#86146	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2966	D₃
hypocenter	C₃	#60296
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2966

Complements

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

N	H ≅ G/N	type
2. C₃×#2966	C₂	semidirect
3. #83127	C₂	semidirect
4. #79966	C₂	semidirect
5. #79946	C₂	semidirect
6. #79922	C₂	semidirect
7. #79908	C₂	semidirect
8. #79544	C₂	semidirect
9. #79525	C₂	semidirect
10. #79491	C₂	semidirect
11. #79490	C₂	semidirect
12. #79468	C₂	semidirect
13. #79467	C₂	semidirect
14. #79430	C₂	semidirect
15. #79429	C₂	semidirect
16. #79428	C₂	semidirect
17. #79410	C₂	semidirect
18. #79409	C₂	semidirect
19. #79407	C₂	semidirect
20. #79375	C₂	semidirect
21. #79374	C₂	semidirect
22. #79369	C₂	semidirect
23. #79368	C₂	semidirect
24. #79332	C₂	semidirect
25. #79326	C₂	semidirect
26. #78559	C₂	semidirect
27. #78558	C₂	semidirect
28. #78552	C₂	semidirect
29. #78551	C₂	semidirect
30. #78455	C₂	semidirect
31. #78448	C₂	semidirect
64. C₃×#446	C₂²	semidirect
65. C₃×C₈×Q₈	C₂²	semidirect
68. C₃×#435	C₂²	semidirect
71. C₃×C₈×D₄	C₂²	semidirect
73. C₃×#433	C₂²	semidirect
74. C₃×#432	C₂²	semidirect
76. C₃×#405	C₂²	semidirect
77. C₂×C₃×C₄×C₈	C₂²	semidirect
82. #5127	C₂²	semidirect
85. #5118	C₂²	semidirect
89. #5111	C₂²	semidirect
95. C₈×#67	C₂²	semidirect
96. C₈×#67	C₂²	semidirect
99. #5102	C₂²	semidirect
100. #5102	C₂²	semidirect
101. C₂×Dic₃⋊C₈	C₂²	semidirect
102. #5024	C₂²	semidirect
103. #5024	C₂²	semidirect
105. #5012	C₂²	semidirect
109. #5011	C₂²	semidirect
111. #5000	C₂²	semidirect
113. #4997	C₂²	semidirect
114. #4926	C₂²	semidirect
115. C₄×#208	C₂²	semidirect
122. #4839	C₂²	semidirect
123. #4839	C₂²	semidirect
125. #4837	C₂²	semidirect
129. #4836	C₂²	semidirect
131. #4834	C₂²	semidirect
133. D₃×C₄⋊C₈	C₂²	semidirect
134. #4831	C₂²	semidirect
135. #4830	C₂²	semidirect
136. #4828	C₂²	semidirect
137. #4828	C₂²	semidirect
138. #4828	C₂²	semidirect
139. #4828	C₂²	semidirect
141. #4730	C₂²	semidirect
144. #4729	C₂²	semidirect
145. #4729	C₂²	semidirect
149. #4728	C₂²	semidirect
160. #4720	C₂²	semidirect
161. #4720	C₂²	semidirect
162. #4719	C₂²	semidirect
163. #4718	C₂²	semidirect
167. #4709	C₂²	semidirect
169. #4708	C₂²	semidirect
170. #4707	C₂²	semidirect
172. #4706	C₂²	semidirect
176. #4705	C₂²	semidirect
177. D₃×#97	C₂²	semidirect
178. #4701	C₂²	semidirect
179. #4701	C₂²	semidirect
185. #4690	C₂²	semidirect
186. #4690	C₂²	semidirect
187. #4690	C₂²	semidirect
189. #4689	C₂²	semidirect
191. #4688	C₂²	semidirect
197. #4685	C₂²	semidirect
198. #4685	C₂²	semidirect
199. #4685	C₂²	semidirect
200. #4679	C₂²	semidirect
201. #4679	C₂²	semidirect
202. C₈×Dic₆	C₂²	semidirect
203. C₈×Dic₆	C₂²	semidirect
228. #2966	D₃	semidirect
552. #446	C₂×D₃	semidirect
556. C₈×Q₈	C₂×D₃	semidirect
592. #435	C₂×D₃	semidirect
604. C₈×D₄	C₂×D₃	semidirect
628. #433	C₂×D₃	semidirect
636. #432	C₂×D₃	semidirect
676. #405	C₂×D₃	semidirect
680. C₂×C₄×C₈	C₂×D₃	semidirect
1670. C₃	#60296	semidirect

Maximal subgroups

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

subgroup	index
#86146	2
C₃×#2966	2
#83127	2
#79966	2
#79946	2
#79922	2
#79908	2
#79544	2
#79525	2
#79491	2
#79490	2
#79468	2
#79467	2
#79430	2
#79429	2
#79428	2
#79410	2
#79409	2
#79407	2
#79375	2
#79374	2
#79369	2
#79368	2
#79332	2
#79326	2
#78559	2
#78558	2
#78552	2
#78551	2
#78455	2
#78448	2
#60296	3