Subgroups — #11660221

Order 768.

1658 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86277	C₂	1	1	yes	maximal, characteristic
2	C₃×#2987	C₂	1	1	yes	maximal, characteristic, complemented
3	#83331	C₂	1	1	yes	maximal, characteristic, complemented
4	#79968	C₂	1	1	yes	maximal, characteristic, complemented
5	#79968	C₂	1	1	yes	maximal, characteristic, complemented
6	#79967	C₂	1	1	yes	maximal, characteristic, complemented
7	#79966	C₂	1	1	yes	maximal, characteristic, complemented
8	#79966	C₂	1	1	yes	maximal, characteristic, complemented
9	#79965	C₂	1	1	yes	maximal, characteristic, complemented
10	#79964	C₂	1	1	yes	maximal, characteristic, complemented
11	#79963	C₂	1	1	yes	maximal, characteristic, complemented
12	#79962	C₂	1	1	yes	maximal, characteristic, complemented
13	#79961	C₂	1	1	yes	maximal, characteristic, complemented
14	#79961	C₂	1	1	yes	maximal, characteristic, complemented
15	#79960	C₂	1	1	yes	maximal, characteristic, complemented
16	#79959	C₂	1	1	yes	maximal, characteristic, complemented
17	#79959	C₂	1	1	yes	maximal, characteristic, complemented
18	#79958	C₂	1	1	yes	maximal, characteristic, complemented
19	D₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
20	#79375	C₂	1	1	yes	maximal, characteristic
21	#79375	C₂	1	1	yes	maximal, characteristic
22	#79373	C₂	1	1	yes	maximal, characteristic
23	#79372	C₂	1	1	yes	maximal, characteristic
24	#79361	C₂	1	1	yes	maximal, characteristic, complemented
25	#79360	C₂	1	1	yes	maximal, characteristic, complemented
26	#79359	C₂	1	1	yes	maximal, characteristic, complemented
27	#79359	C₂	1	1	yes	maximal, characteristic, complemented
28	#79334	C₂	1	1	yes	maximal, characteristic
29	#79332	C₂	1	1	yes	maximal, characteristic
30	#79315	C₂	1	1	yes	maximal, characteristic, complemented
31	#79314	C₂	1	1	yes	maximal, characteristic, complemented
32	#60254	—	3	1	no	maximal, Sylow
33	C₃×#533	C₂²	1	1	yes	characteristic
34	#5730	C₄	1	1	yes	characteristic
35	#5727	C₄	1	1	yes	characteristic
36	#5722	C₄	1	1	yes	characteristic
37	#5721	C₄	1	1	yes	characteristic
38	#5690	C₄	1	1	yes	characteristic
39	#5690	C₄	1	1	yes	characteristic
40	#5685	C₄	1	1	yes	characteristic
41	#5685	C₄	1	1	yes	characteristic
42	#5636	C₄	1	1	yes	characteristic
43	#5636	C₄	1	1	yes	characteristic
44	#5636	C₄	1	1	yes	characteristic
45	#5636	C₄	1	1	yes	characteristic
46	#5635	C₄	1	1	yes	characteristic
47	#5635	C₄	1	1	yes	characteristic
48	#5632	C₄	1	1	yes	characteristic
49	#5632	C₄	1	1	yes	characteristic
50	#5578	C₂²	1	1	yes	characteristic
51	#5578	C₂²	1	1	yes	characteristic
52	#5578	C₂²	1	1	yes	characteristic
53	#5578	C₂²	1	1	yes	characteristic
54	#5578	C₂²	1	1	yes	characteristic
55	#5578	C₂²	1	1	yes	characteristic
56	C₄×D₃×Q₈	C₂²	1	1	yes	characteristic
57	C₄×D₃×Q₈	C₂²	1	1	yes	characteristic
58	#5522	C₂²	1	1	yes	characteristic
59	#5522	C₂²	1	1	yes	characteristic
60	#5517	C₂²	1	1	yes	characteristic
61	#5517	C₂²	1	1	yes	characteristic
62	C₄×#235	C₂²	1	1	yes	characteristic
63	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
64	C₃×#446	C₂²	1	1	yes	characteristic
65	C₃×#446	C₂²	1	1	yes	characteristic
66	C₃×#446	C₂²	1	1	yes	characteristic
67	C₃×#446	C₂²	1	1	yes	characteristic
68	C₃×#446	C₂²	1	1	yes	characteristic
69	C₃×#446	C₂²	1	1	yes	characteristic
70	C₃×#446	C₂²	1	1	yes	characteristic
71	C₃×#446	C₂²	1	1	yes	characteristic
72	C₃×#433	C₂²	1	1	yes	characteristic
73	C₃×#433	C₂²	1	1	yes	characteristic
74	C₃×#433	C₂²	1	1	yes	characteristic
75	C₃×#433	C₂²	1	1	yes	characteristic
76	C₃×#432	C₂²	1	1	yes	characteristic
77	C₃×#432	C₂²	1	1	yes	characteristic
78	#5024	C₂²	1	1	yes	characteristic
79	#5024	C₂²	1	1	yes	characteristic
80	#5024	C₂²	1	1	yes	characteristic
81	#5024	C₂²	1	1	yes	characteristic
82	#5024	C₂²	1	1	yes	characteristic
83	#5024	C₂²	1	1	yes	characteristic
84	Q₈×C₃⋊C₈	C₂²	1	1	yes	characteristic
85	Q₈×C₃⋊C₈	C₂²	1	1	yes	characteristic
86	#5000	C₂²	1	1	yes	characteristic
87	#5000	C₂²	1	1	yes	characteristic
88	#5000	C₂²	1	1	yes	characteristic
89	#5000	C₂²	1	1	yes	characteristic
90	#4926	C₂²	1	1	yes	characteristic
91	#4925	C₂²	1	1	yes	characteristic
92	#4840	C₂²	1	1	yes	characteristic
93	#4840	C₂²	1	1	yes	characteristic
94	#4840	C₂²	1	1	yes	characteristic
95	#4840	C₂²	1	1	yes	characteristic
96	#4840	C₂²	1	1	yes	characteristic
97	#4840	C₂²	1	1	yes	characteristic
98	#4839	C₂²	1	1	yes	characteristic
99	#4839	C₂²	1	1	yes	characteristic
100	#4839	C₂²	1	1	yes	characteristic
101	#4839	C₂²	1	1	yes	characteristic
102	#4839	C₂²	1	1	yes	characteristic
103	#4839	C₂²	1	1	yes	characteristic
104	#4837	C₂²	1	1	yes	characteristic
105	#4837	C₂²	1	1	yes	characteristic
106	#4837	C₂²	1	1	yes	characteristic
107	#4835	C₂²	1	1	yes	characteristic
108	#4835	C₂²	1	1	yes	characteristic
109	#4835	C₂²	1	1	yes	characteristic
110	#4833	C₂²	1	1	yes	characteristic
111	#4833	C₂²	1	1	yes	characteristic
112	#4833	C₂²	1	1	yes	characteristic
113	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
114	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
115	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
116	#4831	C₂²	1	1	yes	characteristic
117	#4831	C₂²	1	1	yes	characteristic
118	#4831	C₂²	1	1	yes	characteristic
119	#4831	C₂²	1	1	yes	characteristic
120	#4831	C₂²	1	1	yes	characteristic
121	#4831	C₂²	1	1	yes	characteristic
122	#4830	C₂²	1	1	yes	characteristic
123	#4830	C₂²	1	1	yes	characteristic
124	#4830	C₂²	1	1	yes	characteristic
125	#4830	C₂²	1	1	yes	characteristic
126	#4830	C₂²	1	1	yes	characteristic
127	#4830	C₂²	1	1	yes	characteristic
128	#4828	C₂²	1	1	yes	characteristic
129	#4828	C₂²	1	1	yes	characteristic
130	#4828	C₂²	1	1	yes	characteristic
131	#4828	C₂²	1	1	yes	characteristic
132	#4828	C₂²	1	1	yes	characteristic
133	#4828	C₂²	1	1	yes	characteristic
134	#4828	C₂²	1	1	yes	characteristic
135	#4828	C₂²	1	1	yes	characteristic
136	#4828	C₂²	1	1	yes	characteristic
137	#4828	C₂²	1	1	yes	characteristic
138	#4828	C₂²	1	1	yes	characteristic
139	#4828	C₂²	1	1	yes	characteristic
140	#4727	C₂²	1	1	yes	characteristic
141	#4727	C₂²	1	1	yes	characteristic
142	#4727	C₂²	1	1	yes	characteristic
143	#4727	C₂²	1	1	yes	characteristic
144	#4720	C₂²	1	1	yes	characteristic
145	#4720	C₂²	1	1	yes	characteristic
146	#4720	C₂²	1	1	yes	characteristic
147	#4720	C₂²	1	1	yes	characteristic
148	#4719	C₂²	1	1	yes	characteristic
149	#4719	C₂²	1	1	yes	characteristic
150	#4719	C₂²	1	1	yes	characteristic
151	#4719	C₂²	1	1	yes	characteristic
152	#4718	C₂²	1	1	yes	characteristic
153	#4718	C₂²	1	1	yes	characteristic
154	#4718	C₂²	1	1	yes	characteristic
155	#4718	C₂²	1	1	yes	characteristic
156	#4709	C₂²	1	1	yes	characteristic
157	#4709	C₂²	1	1	yes	characteristic
158	#4709	C₂²	1	1	yes	characteristic
159	#4709	C₂²	1	1	yes	characteristic
160	#4708	C₂²	1	1	yes	characteristic
161	#4708	C₂²	1	1	yes	characteristic
162	#4708	C₂²	1	1	yes	characteristic
163	#4708	C₂²	1	1	yes	characteristic
164	#4707	C₂²	1	1	yes	characteristic
165	#4707	C₂²	1	1	yes	characteristic
166	#4705	C₂²	1	1	yes	characteristic
167	#4705	C₂²	1	1	yes	characteristic
168	#4705	C₂²	1	1	yes	characteristic
169	#4705	C₂²	1	1	yes	characteristic
170	D₃×#97	C₂²	1	1	yes	characteristic
171	D₃×#97	C₂²	1	1	yes	characteristic
172	#4701	C₂²	1	1	yes	characteristic
173	#4701	C₂²	1	1	yes	characteristic
174	#4701	C₂²	1	1	yes	characteristic
175	#4701	C₂²	1	1	yes	characteristic
176	#4701	C₂²	1	1	yes	characteristic
177	#4701	C₂²	1	1	yes	characteristic
178	#4701	C₂²	1	1	yes	characteristic
179	#4701	C₂²	1	1	yes	characteristic
180	#4701	C₂²	1	1	yes	characteristic
181	#4701	C₂²	1	1	yes	characteristic
182	#4701	C₂²	1	1	yes	characteristic
183	#4701	C₂²	1	1	yes	characteristic
184	#4701	C₂²	1	1	yes	characteristic
185	#4701	C₂²	1	1	yes	characteristic
186	#4701	C₂²	1	1	yes	characteristic
187	#4701	C₂²	1	1	yes	characteristic
188	#4690	C₂²	1	1	yes	characteristic
189	#4690	C₂²	1	1	yes	characteristic
190	#4689	C₂²	1	1	yes	characteristic
191	#4689	C₂²	1	1	yes	characteristic
192	C₄×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic
193	#4685	C₂²	1	1	yes	characteristic
194	#4685	C₂²	1	1	yes	characteristic
195	C₄×D₃×C₈	C₂²	1	1	yes	characteristic
196	#4679	C₂²	1	1	yes	characteristic
197	#4679	C₂²	1	1	yes	characteristic
198	#4679	C₂²	1	1	yes	characteristic
199	#4679	C₂²	1	1	yes	characteristic
200	C₈×Dic₆	C₂²	1	1	yes	characteristic
201	C₈×Dic₆	C₂²	1	1	yes	characteristic
202	C₈×Dic₆	C₂²	1	1	yes	characteristic
203	C₈×Dic₆	C₂²	1	1	yes	characteristic
204	Q₈×#41	—	3	1	no	—
205	#2987	—	3	1	no	—
206	#2987	—	3	1	no	—
207	#2987	—	3	1	no	—
208	#2987	D₃	1	1	yes	characteristic, complemented
209	#2986	—	3	1	no	—
210	#2986	—	3	1	no	—
211	#2985	—	3	1	no	—
212	#2985	—	3	1	no	—
213	#2985	—	3	1	no	—
214	#2985	—	3	1	no	—
215	#2985	—	3	1	no	—
216	#2985	—	3	1	no	—
217	#2984	—	3	1	no	—
218	#2984	—	3	1	no	—
219	#2983	—	3	1	no	—
220	#2983	—	3	1	no	—
221	Q₈×M₁₆	—	3	1	no	—
222	#2962	—	3	1	no	—
223	#2962	—	3	1	no	—
224	#2962	—	3	1	no	—
225	#2961	—	3	1	no	—
226	#2961	—	3	1	no	—
227	#2960	—	3	1	no	—
228	C₂×#446	—	3	1	no	—
229	#2925	—	3	1	no	—
230	#2925	—	3	1	no	—
231	#2925	—	3	1	no	—
232	#2923	—	3	1	no	—
233	#2923	—	3	1	no	—
234	#2922	—	3	1	no	—
235	C₂×D₃×Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×D₃×Q₈	C₂×C₄	1	1	yes	characteristic
237	C₂×#235	C₂³	1	1	yes	characteristic
238	C₂²×Dic₆	C₂×C₄	1	1	yes	characteristic
239	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
240	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
241	C₃×#125	C₂×C₄	1	1	yes	characteristic
242	C₃×#125	C₂×C₄	1	1	yes	characteristic
243	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
244	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
245	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
246	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
247	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
248	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
249	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
250	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
251	C₃×#117	C₂³	1	1	yes	characteristic
252	C₃×#117	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
254	#946	C₂×C₄	1	1	yes	characteristic
255	#946	C₂×C₄	1	1	yes	characteristic
256	#946	C₂×C₄	1	1	yes	characteristic
257	#946	C₂×C₄	1	1	yes	characteristic
258	#946	C₂×C₄	1	1	yes	characteristic
259	#946	C₂×C₄	1	1	yes	characteristic
260	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
261	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
262	#944	C₂×C₄	1	1	yes	characteristic
263	#944	C₂×C₄	1	1	yes	characteristic
264	#944	C₂×C₄	1	1	yes	characteristic
265	#944	C₂×C₄	1	1	yes	characteristic
266	#944	C₂×C₄	1	1	yes	characteristic
267	#944	C₂×C₄	1	1	yes	characteristic
268	C₄×#67	C₂×C₄	1	1	yes	characteristic
269	C₄×#67	C₂×C₄	1	1	yes	characteristic
270	C₄×#67	C₂×C₄	1	1	yes	characteristic
271	C₄×#67	C₂×C₄	1	1	yes	characteristic
272	#926	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
274	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
275	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
276	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
278	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
279	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
280	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
281	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
282	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
283	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
284	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
285	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
286	#897	C₂×C₄	1	1	yes	characteristic
287	#897	C₂×C₄	1	1	yes	characteristic
288	#897	C₂×C₄	1	1	yes	characteristic
289	#897	C₂×C₄	1	1	yes	characteristic
290	#897	C₂×C₄	1	1	yes	characteristic
291	#897	C₂×C₄	1	1	yes	characteristic
292	#896	C₂×C₄	1	1	yes	characteristic
293	#896	C₂×C₄	1	1	yes	characteristic
294	#896	C₂×C₄	1	1	yes	characteristic
295	#896	C₂×C₄	1	1	yes	characteristic
296	#896	C₂×C₄	1	1	yes	characteristic
297	#896	C₂×C₄	1	1	yes	characteristic
298	#896	C₂×C₄	1	1	yes	characteristic
299	#896	C₂×C₄	1	1	yes	characteristic
300	#896	C₂×C₄	1	1	yes	characteristic
301	#896	C₂×C₄	1	1	yes	characteristic
302	#896	C₂×C₄	1	1	yes	characteristic
303	#896	C₂×C₄	1	1	yes	characteristic
304	#893	C₂×C₄	1	1	yes	characteristic
305	#893	C₂×C₄	1	1	yes	characteristic
306	#893	C₂×C₄	1	1	yes	characteristic
307	#893	C₂×C₄	1	1	yes	characteristic
308	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
309	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
310	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
311	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
312	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
313	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
314	#890	C₂×C₄	1	1	yes	characteristic
315	#890	C₂×C₄	1	1	yes	characteristic
316	#890	C₂×C₄	1	1	yes	characteristic
317	#890	C₂×C₄	1	1	yes	characteristic
318	#889	C₂×C₄	1	1	yes	characteristic
319	#889	C₂×C₄	1	1	yes	characteristic
320	#889	C₂×C₄	1	1	yes	characteristic
321	#889	C₂×C₄	1	1	yes	characteristic
322	#889	C₂×C₄	1	1	yes	characteristic
323	#889	C₂×C₄	1	1	yes	characteristic
324	#889	C₂×C₄	1	1	yes	characteristic
325	#889	C₂×C₄	1	1	yes	characteristic
326	#889	C₂×C₄	1	1	yes	characteristic
327	#889	C₂×C₄	1	1	yes	characteristic
328	#889	C₂×C₄	1	1	yes	characteristic
329	#889	C₂×C₄	1	1	yes	characteristic
330	#888	C₂×C₄	1	1	yes	characteristic
331	#888	C₂×C₄	1	1	yes	characteristic
332	#888	C₂×C₄	1	1	yes	characteristic
333	#888	C₂×C₄	1	1	yes	characteristic
334	#888	C₂×C₄	1	1	yes	characteristic
335	#888	C₂×C₄	1	1	yes	characteristic
336	#888	C₂×C₄	1	1	yes	characteristic
337	#888	C₂×C₄	1	1	yes	characteristic
338	#888	C₂×C₄	1	1	yes	characteristic
339	#888	C₂×C₄	1	1	yes	characteristic
340	#887	C₂×C₄	1	1	yes	characteristic
341	#887	C₂×C₄	1	1	yes	characteristic
342	#887	C₂×C₄	1	1	yes	characteristic
343	#887	C₂×C₄	1	1	yes	characteristic
344	#887	C₂×C₄	1	1	yes	characteristic
345	#887	C₂×C₄	1	1	yes	characteristic
346	#887	C₂×C₄	1	1	yes	characteristic
347	#887	C₂×C₄	1	1	yes	characteristic
348	#887	C₂×C₄	1	1	yes	characteristic
349	#887	C₂×C₄	1	1	yes	characteristic
350	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
351	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
352	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
353	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
354	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
355	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
356	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
357	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
358	#878	C₂×C₄	1	1	yes	characteristic
359	#878	C₂×C₄	1	1	yes	characteristic
360	#878	C₂×C₄	1	1	yes	characteristic
361	#878	C₂×C₄	1	1	yes	characteristic
362	#878	C₂×C₄	1	1	yes	characteristic
363	#878	C₂×C₄	1	1	yes	characteristic
364	#878	C₂×C₄	1	1	yes	characteristic
365	#878	C₂×C₄	1	1	yes	characteristic
366	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
367	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
368	#872	C₂³	1	1	yes	characteristic
369	#872	C₂³	1	1	yes	characteristic
370	#872	C₂³	1	1	yes	characteristic
371	#872	C₂³	1	1	yes	characteristic
372	#872	C₂³	1	1	yes	characteristic
373	#872	C₂³	1	1	yes	characteristic
374	C₄²×D₃	C₂³	1	1	yes	characteristic
375	C₄²×D₃	C₂³	1	1	yes	characteristic
376	C₄²×D₃	C₂³	1	1	yes	characteristic
377	C₄²×D₃	C₂³	1	1	yes	characteristic
378	C₄²×D₃	C₂³	1	1	yes	characteristic
379	C₄²×D₃	C₂³	1	1	yes	characteristic
380	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
381	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
382	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
383	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
384	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
385	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
386	C₄×Dic₆	C₂³	1	1	yes	characteristic
387	C₄×Dic₆	C₂³	1	1	yes	characteristic
388	C₄×Dic₆	C₂³	1	1	yes	characteristic
389	C₄×Dic₆	C₂³	1	1	yes	characteristic
390	C₄×Dic₆	C₂³	1	1	yes	characteristic
391	C₄×Dic₆	C₂³	1	1	yes	characteristic
392	C₄×Dic₆	C₂³	1	1	yes	characteristic
393	C₄×Dic₆	C₂³	1	1	yes	characteristic
394	C₄×Dic₆	C₂³	1	1	yes	characteristic
395	C₄×Dic₆	C₂³	1	1	yes	characteristic
396	C₄×Dic₆	C₂³	1	1	yes	characteristic
397	C₄×Dic₆	C₂³	1	1	yes	characteristic
398	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
412	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
413	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
414	C₃×#97	C₂³	1	1	yes	characteristic
415	C₃×#97	C₂³	1	1	yes	characteristic
416	C₃×#97	C₂³	1	1	yes	characteristic
417	C₃×#97	C₂³	1	1	yes	characteristic
418	C₃×#97	C₂³	1	1	yes	characteristic
419	C₃×#97	C₂³	1	1	yes	characteristic
420	C₃×#97	C₂³	1	1	yes	characteristic
421	C₃×#97	C₂³	1	1	yes	characteristic
422	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
423	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
424	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
425	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
426	#830	C₂³	1	1	yes	characteristic
427	#830	C₂³	1	1	yes	characteristic
428	#830	C₂³	1	1	yes	characteristic
429	#830	C₂³	1	1	yes	characteristic
430	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
431	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
432	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
433	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
434	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
435	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
436	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
437	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
438	#815	C₂³	1	1	yes	characteristic
439	#815	C₂³	1	1	yes	characteristic
440	#815	C₂³	1	1	yes	characteristic
441	#815	C₂³	1	1	yes	characteristic
442	#815	C₂³	1	1	yes	characteristic
443	#815	C₂³	1	1	yes	characteristic
444	#815	C₂³	1	1	yes	characteristic
445	#815	C₂³	1	1	yes	characteristic
446	#815	C₂³	1	1	yes	characteristic
447	#815	C₂³	1	1	yes	characteristic
448	#815	C₂³	1	1	yes	characteristic
449	#815	C₂³	1	1	yes	characteristic
450	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
451	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
452	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
453	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
454	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
455	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
456	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
457	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
458	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
459	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
460	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
461	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
462	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
463	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
464	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
465	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
466	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
467	Dic₃⋊C₈	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	C₈×Dic₃	C₂³	1	1	yes	characteristic
475	C₈×Dic₃	C₂³	1	1	yes	characteristic
476	C₈×Dic₃	C₂³	1	1	yes	characteristic
477	C₈×Dic₃	C₂³	1	1	yes	characteristic
478	C₈×Dic₃	C₂³	1	1	yes	characteristic
479	C₈×Dic₃	C₂³	1	1	yes	characteristic
480	C₈×Dic₃	C₂³	1	1	yes	characteristic
481	C₈×Dic₃	C₂³	1	1	yes	characteristic
482	C₈×Dic₃	C₂³	1	1	yes	characteristic
483	C₈×Dic₃	C₂³	1	1	yes	characteristic
484	C₈×Dic₃	C₂³	1	1	yes	characteristic
485	C₈×Dic₃	C₂³	1	1	yes	characteristic
486	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
487	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
488	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
489	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
490	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
491	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
492	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
493	C₄⋊(C₃⋊C₈)	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	#803	C₂³	1	1	yes	characteristic
499	#803	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	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
505	C₄×C₃⋊C₈	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	Q₈²	—	3	1	no	—
511	#557	—	3	1	no	—
512	#557	—	3	1	no	—
513	#557	—	3	1	no	—
514	#554	—	3	1	no	—
515	#554	—	3	1	no	—
516	#554	—	3	1	no	—
517	#554	—	3	1	no	—
518	#554	—	3	1	no	—
519	#554	—	3	1	no	—
520	#554	—	3	1	no	—
521	#554	—	3	1	no	—
522	#554	—	3	1	no	—
523	D₄×Q₈	—	3	1	no	—
524	D₄×Q₈	—	3	1	no	—
525	D₄×Q₈	—	3	1	no	—
526	#533	—	3	1	no	—
527	#533	—	3	1	no	—
528	#533	—	3	1	no	—
529	#533	—	3	1	no	—
530	#533	—	3	1	no	—
531	#533	—	3	1	no	—
532	#533	—	3	1	no	—
533	#533	—	3	1	no	—
534	#533	C₂×D₃	1	1	yes	characteristic
535	C₄×#41	—	3	1	no	—
536	C₄×#41	—	3	1	no	—
537	C₄×#41	—	3	1	no	—
538	C₂×C₄×Q₈	—	3	1	no	—
539	C₂×C₄×Q₈	—	3	1	no	—
540	C₂×C₄×Q₈	—	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	—	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	#446	—	3	1	no	—
560	#446	—	3	1	no	—
561	#446	—	3	1	no	—
562	#446	—	3	1	no	—
563	#446	—	3	1	no	—
564	#446	—	3	1	no	—
565	#446	—	3	1	no	—
566	#446	—	3	1	no	—
567	#446	—	3	1	no	—
568	#446	—	3	1	no	—
569	#446	—	3	1	no	—
570	#446	—	3	1	no	—
571	#446	—	3	1	no	—
572	#446	—	3	1	no	—
573	#446	—	3	1	no	—
574	#446	—	3	1	no	—
575	#446	—	3	1	no	—
576	#446	—	3	1	no	—
577	#446	—	3	1	no	—
578	#446	—	3	1	no	—
579	#446	—	3	1	no	—
580	#446	—	3	1	no	—
581	#446	—	3	1	no	—
582	#446	—	3	1	no	—
583	#446	—	3	1	no	—
584	#446	—	3	1	no	—
585	#446	C₂×D₃	1	1	yes	characteristic
586	#446	C₂×D₃	1	1	yes	characteristic
587	#446	C₂×D₃	1	1	yes	characteristic
588	#446	C₂×D₃	1	1	yes	characteristic
589	#446	C₂×D₃	1	1	yes	characteristic
590	#446	C₂×D₃	1	1	yes	characteristic
591	#446	C₂×D₃	1	1	yes	characteristic
592	#446	C₂×D₃	1	1	yes	characteristic
593	C₈×Q₈	—	3	1	no	—
594	C₈×Q₈	—	3	1	no	—
595	C₈×Q₈	—	3	1	no	—
596	C₈×Q₈	—	3	1	no	—
597	C₈×Q₈	—	3	1	no	—
598	C₈×Q₈	—	3	1	no	—
599	C₈×Q₈	—	3	1	no	—
600	C₈×Q₈	—	3	1	no	—
601	C₈×Q₈	—	3	1	no	—
602	C₈×Q₈	—	3	1	no	—
603	C₈×Q₈	—	3	1	no	—
604	C₈×Q₈	—	3	1	no	—
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	C₂×D₃	1	1	yes	characteristic
626	#433	C₂×D₃	1	1	yes	characteristic
627	#433	C₂×D₃	1	1	yes	characteristic
628	#433	C₂×D₃	1	1	yes	characteristic
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	—	3	1	no	—
637	#432	—	3	1	no	—
638	#432	—	3	1	no	—
639	#432	—	3	1	no	—
640	#432	—	3	1	no	—
641	#432	C₂×D₃	1	1	yes	characteristic
642	#432	C₂×D₃	1	1	yes	characteristic
643	#431	—	3	1	no	—
644	#431	—	3	1	no	—
645	#431	—	3	1	no	—
646	#431	—	3	1	no	—
647	#431	—	3	1	no	—
648	#431	—	3	1	no	—
649	#431	—	3	1	no	—
650	#431	—	3	1	no	—
651	#431	—	3	1	no	—
652	#431	—	3	1	no	—
653	#424	—	3	1	no	—
654	#424	—	3	1	no	—
655	#424	—	3	1	no	—
656	#424	—	3	1	no	—
657	#424	—	3	1	no	—
658	#424	—	3	1	no	—
659	#423	—	3	1	no	—
660	#423	—	3	1	no	—
661	#423	—	3	1	no	—
662	C₂×C₄⋊C₈	—	3	1	no	—
663	C₂×C₄⋊C₈	—	3	1	no	—
664	C₂×C₄⋊C₈	—	3	1	no	—
665	#408	—	3	1	no	—
666	#408	—	3	1	no	—
667	#408	—	3	1	no	—
668	#408	—	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	C₄×M₁₆	—	3	1	no	—
676	C₄×M₁₆	—	3	1	no	—
677	C₄×M₁₆	—	3	1	no	—
678	C₂×#97	—	3	1	no	—
679	C₂×#97	—	3	1	no	—
680	C₂×C₄×C₈	—	3	1	no	—
681	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
685	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
686	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
688	C₂×#67	C₂²×C₄	1	1	yes	characteristic
689	C₂×#67	C₂²×C₄	1	1	yes	characteristic
690	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
691	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
692	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
693	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
694	D₃×Q₈	—	4	2	no	—
695	D₃×Q₈	—	4	2	no	—
696	#235	—	2	2	no	—
697	#235	—	2	2	no	—
698	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
712	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
713	C₂×Dic₆	—	4	2	no	—
714	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
715	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
716	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
717	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
718	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
719	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
720	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
721	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
722	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
723	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
724	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
725	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
726	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
727	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
728	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
729	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
730	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
731	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
732	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
733	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
734	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
735	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
736	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
737	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
738	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
739	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
740	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
741	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
742	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
743	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
744	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
745	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
746	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
747	C₃×C₄⋊C₄	C₂²×C₄	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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
756	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
757	C₃×C₄²	C₂⁴	1	1	yes	characteristic
758	C₃×C₄²	C₂⁴	1	1	yes	characteristic
759	C₃×C₄²	C₂⁴	1	1	yes	characteristic
760	C₃×C₄²	C₂⁴	1	1	yes	characteristic
761	C₃×C₄²	C₂⁴	1	1	yes	characteristic
762	C₃×C₄²	C₂⁴	1	1	yes	characteristic
763	#217	C₂²×C₄	1	1	yes	characteristic
764	#217	C₂²×C₄	1	1	yes	characteristic
765	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
769	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
770	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
771	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
772	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
773	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
774	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
775	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
776	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
777	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
778	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
779	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
780	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
781	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
782	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
783	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
784	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
785	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
786	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
787	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
788	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
789	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
790	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
791	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
793	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
798	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
799	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
800	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
801	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
802	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
803	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
804	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
805	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
806	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
807	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
808	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
809	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
810	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
811	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
812	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
813	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
814	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
815	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
816	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
817	Dic₃⋊C₄	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	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
828	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
829	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
830	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
831	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
832	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
833	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
834	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
835	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
836	C₄×Dic₃	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	C₂⁴	1	1	yes	characteristic
844	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
845	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
846	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
847	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
848	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
849	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
850	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
851	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
852	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
853	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
854	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
855	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
856	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
857	ΓL(1,𝔽₂₅)	—	2	2	no	—
858	ΓL(1,𝔽₂₅)	—	2	2	no	—
859	ΓL(1,𝔽₂₅)	—	2	2	no	—
860	ΓL(1,𝔽₂₅)	—	2	2	no	—
861	D₃×C₈	—	2	2	no	—
862	D₃×C₈	—	2	2	no	—
863	D₃×C₈	—	2	2	no	—
864	D₃×C₈	—	2	2	no	—
865	C₂×#41	—	3	1	no	—
866	C₂²×Q₈	—	3	1	no	—
867	C₂²×Q₈	—	3	1	no	—
868	C₂²×Q₈	—	3	1	no	—
869	C₂×M₁₆	—	3	1	no	—
870	C₂×M₁₆	—	3	1	no	—
871	C₂×M₁₆	—	3	1	no	—
872	C₂×M₁₆	—	3	1	no	—
873	C₂²×C₈	—	3	1	no	—
874	C₂²×C₈	—	3	1	no	—
875	C₂²×C₈	—	3	1	no	—
876	C₂²×C₈	—	3	1	no	—
877	C₄⋊Q₈	—	3	1	no	—
878	C₄⋊Q₈	—	3	1	no	—
879	C₄⋊Q₈	—	3	1	no	—
880	C₄⋊Q₈	—	3	1	no	—
881	C₄⋊Q₈	—	3	1	no	—
882	C₄⋊Q₈	—	3	1	no	—
883	C₄⋊Q₈	—	3	1	no	—
884	C₄⋊Q₈	—	3	1	no	—
885	C₄⋊Q₈	—	3	1	no	—
886	C₄⋊Q₈	—	3	1	no	—
887	C₄⋊Q₈	—	3	1	no	—
888	C₄⋊Q₈	—	3	1	no	—
889	C₄⋊Q₈	—	3	1	no	—
890	C₄⋊Q₈	—	3	1	no	—
891	C₄⋊Q₈	—	3	1	no	—
892	C₄⋊Q₈	—	3	1	no	—
893	C₄⋊Q₈	C₄×D₃	1	1	yes	characteristic
894	C₄⋊Q₈	C₄×D₃	1	1	yes	characteristic
895	#125	—	3	1	no	—
896	#125	—	3	1	no	—
897	#125	—	3	1	no	—
898	#125	—	3	1	no	—
899	#125	—	3	1	no	—
900	#125	—	3	1	no	—
901	#125	—	3	1	no	—
902	#125	—	3	1	no	—
903	#125	—	3	1	no	—
904	#125	—	3	1	no	—
905	#125	—	3	1	no	—
906	#125	—	3	1	no	—
907	#125	—	3	1	no	—
908	#125	—	3	1	no	—
909	#125	—	3	1	no	—
910	#125	—	3	1	no	—
911	#125	C₄×D₃	1	1	yes	characteristic
912	#125	C₄×D₃	1	1	yes	characteristic
913	C₂²⋊Q₈	—	3	1	no	—
914	C₂²⋊Q₈	—	3	1	no	—
915	C₂²⋊Q₈	—	3	1	no	—
916	C₂²⋊Q₈	—	3	1	no	—
917	C₂²⋊Q₈	—	3	1	no	—
918	C₂²⋊Q₈	—	3	1	no	—
919	C₂²⋊Q₈	—	3	1	no	—
920	C₂²⋊Q₈	—	3	1	no	—
921	C₂²⋊Q₈	—	3	1	no	—
922	C₂²⋊Q₈	—	3	1	no	—
923	C₂²⋊Q₈	—	3	1	no	—
924	C₂²⋊Q₈	—	3	1	no	—
925	C₂²⋊Q₈	—	3	1	no	—
926	C₂²⋊Q₈	—	3	1	no	—
927	C₂²⋊Q₈	—	3	1	no	—
928	C₂²⋊Q₈	—	3	1	no	—
929	C₂²⋊Q₈	—	3	1	no	—
930	C₂²⋊Q₈	—	3	1	no	—
931	C₂²⋊Q₈	—	3	1	no	—
932	C₂²⋊Q₈	—	3	1	no	—
933	C₂²⋊Q₈	—	3	1	no	—
934	C₂²⋊Q₈	—	3	1	no	—
935	C₂²⋊Q₈	—	3	1	no	—
936	C₂²⋊Q₈	—	3	1	no	—
937	C₂²⋊Q₈	—	3	1	no	—
938	C₂²⋊Q₈	—	3	1	no	—
939	C₂²⋊Q₈	—	3	1	no	—
940	C₂²⋊Q₈	—	3	1	no	—
941	C₂²⋊Q₈	—	3	1	no	—
942	C₂²⋊Q₈	—	3	1	no	—
943	C₂²⋊Q₈	—	3	1	no	—
944	C₂²⋊Q₈	—	3	1	no	—
945	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
946	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
947	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
948	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
949	C₄×Q₈	—	3	1	no	—
950	C₄×Q₈	—	3	1	no	—
951	C₄×Q₈	—	3	1	no	—
952	C₄×Q₈	—	3	1	no	—
953	C₄×Q₈	—	3	1	no	—
954	C₄×Q₈	—	3	1	no	—
955	C₄×Q₈	—	3	1	no	—
956	C₄×Q₈	—	3	1	no	—
957	C₄×Q₈	—	3	1	no	—
958	C₄×Q₈	—	3	1	no	—
959	C₄×Q₈	—	3	1	no	—
960	C₄×Q₈	—	3	1	no	—
961	C₄×Q₈	—	3	1	no	—
962	C₄×Q₈	—	3	1	no	—
963	C₄×Q₈	—	3	1	no	—
964	C₄×Q₈	—	3	1	no	—
965	C₄×Q₈	—	3	1	no	—
966	C₄×Q₈	—	3	1	no	—
967	C₄×Q₈	—	3	1	no	—
968	C₄×Q₈	—	3	1	no	—
969	C₄×Q₈	—	3	1	no	—
970	C₄×Q₈	—	3	1	no	—
971	C₄×Q₈	—	3	1	no	—
972	C₄×Q₈	—	3	1	no	—
973	C₄×Q₈	—	3	1	no	—
974	C₄×Q₈	—	3	1	no	—
975	C₄×Q₈	—	3	1	no	—
976	C₄×Q₈	—	3	1	no	—
977	C₄×Q₈	—	3	1	no	—
978	C₄×Q₈	—	3	1	no	—
979	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
980	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
981	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
982	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
983	C₄×D₄	—	3	1	no	—
984	C₄×D₄	—	3	1	no	—
985	C₄×D₄	—	3	1	no	—
986	C₄×D₄	—	3	1	no	—
987	C₄×D₄	—	3	1	no	—
988	C₄×D₄	—	3	1	no	—
989	C₄×D₄	—	3	1	no	—
990	C₄×D₄	—	3	1	no	—
991	C₄×D₄	—	3	1	no	—
992	C₄×D₄	—	3	1	no	—
993	C₄×D₄	—	3	1	no	—
994	C₄×D₄	—	3	1	no	—
995	C₄×D₄	—	3	1	no	—
996	C₄×D₄	—	3	1	no	—
997	C₄×D₄	—	3	1	no	—
998	C₄×D₄	—	3	1	no	—
999	C₄×D₄	—	3	1	no	—
1000	C₄×D₄	—	3	1	no	—
1001	#117	—	3	1	no	—
1002	#117	—	3	1	no	—
1003	#117	—	3	1	no	—
1004	#117	—	3	1	no	—
1005	#117	—	3	1	no	—
1006	#117	—	3	1	no	—
1007	#117	—	3	1	no	—
1008	#117	C₂²×D₃	1	1	yes	characteristic
1009	#117	C₂²×D₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	—	3	1	no	—
1011	C₂×C₄⋊C₄	—	3	1	no	—
1012	C₂×C₄⋊C₄	—	3	1	no	—
1013	C₂×C₄⋊C₄	—	3	1	no	—
1014	C₂×C₄⋊C₄	—	3	1	no	—
1015	C₂×C₄⋊C₄	—	3	1	no	—
1016	C₂×C₄⋊C₄	—	3	1	no	—
1017	C₂×C₄⋊C₄	—	3	1	no	—
1018	C₂×C₄⋊C₄	—	3	1	no	—
1019	C₂×C₄²	—	3	1	no	—
1020	C₂×C₄²	—	3	1	no	—
1021	C₂×C₄²	—	3	1	no	—
1022	C₂×C₄²	—	3	1	no	—
1023	C₂×C₄²	—	3	1	no	—
1024	C₂×C₄²	—	3	1	no	—
1025	C₂×C₄²	—	3	1	no	—
1026	C₂×C₄²	—	3	1	no	—
1027	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1028	C₄⋊C₈	—	3	1	no	—
1029	C₄⋊C₈	—	3	1	no	—
1030	C₄⋊C₈	—	3	1	no	—
1031	C₄⋊C₈	—	3	1	no	—
1032	C₄⋊C₈	—	3	1	no	—
1033	C₄⋊C₈	—	3	1	no	—
1034	C₄⋊C₈	—	3	1	no	—
1035	C₄⋊C₈	—	3	1	no	—
1036	C₄⋊C₈	—	3	1	no	—
1037	C₄⋊C₈	—	3	1	no	—
1038	C₄⋊C₈	—	3	1	no	—
1039	C₄⋊C₈	—	3	1	no	—
1040	C₄⋊C₈	—	3	1	no	—
1041	C₄⋊C₈	—	3	1	no	—
1042	C₄⋊C₈	—	3	1	no	—
1043	C₄⋊C₈	—	3	1	no	—
1044	C₄⋊C₈	—	3	1	no	—
1045	C₄⋊C₈	—	3	1	no	—
1046	C₄⋊C₈	—	3	1	no	—
1047	C₄⋊C₈	—	3	1	no	—
1048	C₄⋊C₈	—	3	1	no	—
1049	C₄⋊C₈	—	3	1	no	—
1050	C₄⋊C₈	—	3	1	no	—
1051	C₄⋊C₈	—	3	1	no	—
1052	C₄⋊C₈	—	3	1	no	—
1053	C₄⋊C₈	—	3	1	no	—
1054	C₄⋊C₈	—	3	1	no	—
1055	C₄⋊C₈	—	3	1	no	—
1056	C₄⋊C₈	—	3	1	no	—
1057	C₄⋊C₈	—	3	1	no	—
1058	C₄⋊C₈	—	3	1	no	—
1059	C₄⋊C₈	—	3	1	no	—
1060	C₄⋊C₈	—	3	1	no	—
1061	C₄⋊C₈	—	3	1	no	—
1062	C₄⋊C₈	—	3	1	no	—
1063	C₄⋊C₈	—	3	1	no	—
1064	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1065	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1066	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1067	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1068	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1069	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1070	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1071	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1072	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1073	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1074	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1075	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1076	C₂²⋊C₈	—	3	1	no	—
1077	C₂²⋊C₈	—	3	1	no	—
1078	C₂²⋊C₈	—	3	1	no	—
1079	C₂²⋊C₈	—	3	1	no	—
1080	C₂²⋊C₈	—	3	1	no	—
1081	C₂²⋊C₈	—	3	1	no	—
1082	C₂²⋊C₈	—	3	1	no	—
1083	C₂²⋊C₈	—	3	1	no	—
1084	C₂²⋊C₈	—	3	1	no	—
1085	C₂²⋊C₈	—	3	1	no	—
1086	C₂²⋊C₈	—	3	1	no	—
1087	C₂²⋊C₈	—	3	1	no	—
1088	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1089	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1090	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1091	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1092	#97	—	3	1	no	—
1093	#97	—	3	1	no	—
1094	#97	—	3	1	no	—
1095	#97	—	3	1	no	—
1096	#97	—	3	1	no	—
1097	#97	—	3	1	no	—
1098	#97	—	3	1	no	—
1099	#97	—	3	1	no	—
1100	#97	—	3	1	no	—
1101	#97	—	3	1	no	—
1102	#97	—	3	1	no	—
1103	#97	—	3	1	no	—
1104	#97	—	3	1	no	—
1105	#97	—	3	1	no	—
1106	#97	—	3	1	no	—
1107	#97	—	3	1	no	—
1108	#97	—	3	1	no	—
1109	#97	—	3	1	no	—
1110	#97	C₂²×D₃	1	1	yes	characteristic
1111	#97	C₂²×D₃	1	1	yes	characteristic
1112	#97	C₂²×D₃	1	1	yes	characteristic
1113	#97	C₂²×D₃	1	1	yes	characteristic
1114	#97	C₂²×D₃	1	1	yes	characteristic
1115	#97	C₂²×D₃	1	1	yes	characteristic
1116	#97	C₂²×D₃	1	1	yes	characteristic
1117	#97	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1127	C₄×C₈	—	3	1	no	—
1128	C₄×C₈	—	3	1	no	—
1129	C₄×C₈	—	3	1	no	—
1130	C₄×C₈	—	3	1	no	—
1131	C₄×C₈	—	3	1	no	—
1132	C₄×C₈	—	3	1	no	—
1133	C₄×C₈	—	3	1	no	—
1134	C₄×C₈	—	3	1	no	—
1135	C₄×C₈	—	3	1	no	—
1136	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1137	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1138	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1139	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1140	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1141	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1142	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1143	C₃×Q₈	—	4	1	no	—
1144	C₃×Q₈	—	4	1	no	—
1145	C₃×Q₈	—	4	1	no	—
1146	C₃×Q₈	—	4	1	no	—
1147	C₂×C₃×C₄	—	2	1	no	—
1148	C₂×C₃×C₄	—	2	1	no	—
1149	C₂×C₃×C₄	—	4	1	no	—
1150	C₂×C₃×C₄	—	4	1	no	—
1151	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1152	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1153	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1154	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1155	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1156	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1157	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1158	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1159	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1160	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1161	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1162	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1163	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1164	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1165	#67	—	2	2	no	—
1166	#67	—	2	2	no	—
1167	C₂×Dic₃	—	2	2	no	—
1168	C₂×Dic₃	—	4	1	no	—
1169	C₂×Dic₃	—	4	1	no	—
1170	C₂×Dic₃	—	4	1	no	—
1171	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1172	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1173	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1174	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1175	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1176	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1177	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1178	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1179	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1180	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1181	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1182	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1183	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1184	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1185	D₁₂	—	2	2	no	—
1186	C₄×D₃	—	2	1	no	—
1187	C₄×D₃	—	2	1	no	—
1188	C₄×D₃	—	2	2	no	—
1189	C₄×D₃	—	2	2	no	—
1190	C₄×D₃	—	4	1	no	—
1191	C₄×D₃	—	4	1	no	—
1192	C₄×D₃	—	4	1	no	—
1193	C₄×D₃	—	4	1	no	—
1194	C₄×D₃	—	4	1	no	—
1195	C₄×D₃	—	4	1	no	—
1196	C₄×D₃	—	4	1	no	—
1197	C₄×D₃	—	4	1	no	—
1198	C₄×D₃	—	4	1	no	—
1199	C₄×D₃	—	4	1	no	—
1200	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1201	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1202	Dic₆	—	2	2	no	—
1203	Dic₆	—	2	2	no	—
1204	Dic₆	—	2	2	no	—
1205	Dic₆	—	2	2	no	—
1206	Dic₆	—	2	2	no	—
1207	Dic₆	—	4	1	no	—
1208	Dic₆	—	4	1	no	—
1209	Dic₆	—	4	1	no	—
1210	Dic₆	—	4	1	no	—
1211	Dic₆	—	4	1	no	—
1212	Dic₆	—	4	1	no	—
1213	Dic₆	—	4	1	no	—
1214	Dic₆	—	4	1	no	—
1215	C₃×C₈	—	2	1	no	—
1216	C₃×C₈	—	2	1	no	—
1217	C₃×C₈	—	2	1	no	—
1218	C₃×C₈	—	2	1	no	—
1219	C₃×C₈	—	2	1	no	—
1220	C₃×C₈	—	2	1	no	—
1221	C₃×C₈	—	2	1	no	—
1222	C₃×C₈	—	2	1	no	—
1223	C₃⋊C₈	—	2	1	no	—
1224	C₃⋊C₈	—	2	1	no	—
1225	C₃⋊C₈	—	2	1	no	—
1226	C₃⋊C₈	—	2	1	no	—
1227	C₃⋊C₈	—	2	1	no	—
1228	C₃⋊C₈	—	2	1	no	—
1229	C₃⋊C₈	—	2	1	no	—
1230	C₃⋊C₈	—	2	1	no	—
1231	#41	—	6	2	no	—
1232	#41	—	6	2	no	—
1233	C₂×Q₈	—	3	1	no	—
1234	C₂×Q₈	—	3	1	no	—
1235	C₂×Q₈	—	3	1	no	—
1236	C₂×Q₈	—	3	1	no	—
1237	C₂×Q₈	—	3	1	no	—
1238	C₂×Q₈	—	3	1	no	—
1239	C₂×Q₈	—	3	1	no	—
1240	C₂×Q₈	—	3	1	no	—
1241	C₂×Q₈	—	3	1	no	—
1242	C₂×Q₈	—	3	1	no	—
1243	C₂×Q₈	—	3	1	no	—
1244	C₂×Q₈	—	3	1	no	—
1245	C₂×Q₈	—	3	1	no	—
1246	C₂×Q₈	—	12	2	no	—
1247	C₂×Q₈	—	12	2	no	—
1248	C₂×Q₈	—	12	2	no	—
1249	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1250	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1251	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1252	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1253	C₂×D₄	—	3	1	no	—
1254	C₂×D₄	—	3	1	no	—
1255	C₂×D₄	—	3	1	no	—
1256	C₂²×C₄	—	3	1	no	—
1257	C₂²×C₄	—	3	1	no	—
1258	C₂²×C₄	—	3	1	no	—
1259	C₂²×C₄	—	3	1	no	—
1260	C₂²×C₄	—	3	1	no	—
1261	C₂²×C₄	—	3	1	no	—
1262	C₂²×C₄	—	3	1	no	—
1263	C₂²×C₄	—	3	1	no	—
1264	C₂²×C₄	—	3	1	no	—
1265	C₂²×C₄	—	3	1	no	—
1266	C₂²×C₄	—	3	1	no	—
1267	C₂²×C₄	—	3	1	no	—
1268	C₂²×C₄	—	3	1	no	—
1269	C₂²×C₄	—	3	1	no	—
1270	C₂²×C₄	—	3	1	no	—
1271	C₂²×C₄	—	3	1	no	—
1272	C₂²×C₄	—	3	1	no	—
1273	C₂²×C₄	—	3	1	no	—
1274	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1275	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1276	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1277	M₁₆	—	6	2	no	—
1278	M₁₆	—	6	2	no	—
1279	M₁₆	—	6	2	no	—
1280	M₁₆	—	6	2	no	—
1281	C₂×C₈	—	3	1	no	—
1282	C₂×C₈	—	3	1	no	—
1283	C₂×C₈	—	3	1	no	—
1284	C₂×C₈	—	3	1	no	—
1285	C₂×C₈	—	3	1	no	—
1286	C₂×C₈	—	3	1	no	—
1287	C₂×C₈	—	3	1	no	—
1288	C₂×C₈	—	3	1	no	—
1289	C₂×C₈	—	6	2	no	—
1290	C₂×C₈	—	6	2	no	—
1291	C₂×C₈	—	6	2	no	—
1292	C₂×C₈	—	6	2	no	—
1293	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1294	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1295	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1296	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1297	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1298	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1299	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1300	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1301	C₄⋊C₄	—	3	1	no	—
1302	C₄⋊C₄	—	3	1	no	—
1303	C₄⋊C₄	—	3	1	no	—
1304	C₄⋊C₄	—	3	1	no	—
1305	C₄⋊C₄	—	3	1	no	—
1306	C₄⋊C₄	—	3	1	no	—
1307	C₄⋊C₄	—	3	1	no	—
1308	C₄⋊C₄	—	3	1	no	—
1309	C₄⋊C₄	—	3	1	no	—
1310	C₄⋊C₄	—	3	1	no	—
1311	C₄⋊C₄	—	3	1	no	—
1312	C₄⋊C₄	—	3	1	no	—
1313	C₄⋊C₄	—	3	1	no	—
1314	C₄⋊C₄	—	3	1	no	—
1315	C₄⋊C₄	—	3	1	no	—
1316	C₄⋊C₄	—	3	1	no	—
1317	C₄⋊C₄	—	3	1	no	—
1318	C₄⋊C₄	—	3	1	no	—
1319	C₄⋊C₄	—	3	1	no	—
1320	C₄⋊C₄	—	3	1	no	—
1321	C₄⋊C₄	—	3	1	no	—
1322	C₄⋊C₄	—	3	1	no	—
1323	C₄⋊C₄	—	3	1	no	—
1324	C₄⋊C₄	—	3	1	no	—
1325	C₄⋊C₄	—	3	1	no	—
1326	C₄⋊C₄	—	3	1	no	—
1327	C₄⋊C₄	—	3	1	no	—
1328	C₄⋊C₄	—	3	1	no	—
1329	C₄⋊C₄	—	3	1	no	—
1330	C₄⋊C₄	—	3	1	no	—
1331	C₄⋊C₄	—	3	1	no	—
1332	C₄⋊C₄	—	3	1	no	—
1333	C₄⋊C₄	—	3	1	no	—
1334	C₄⋊C₄	—	3	1	no	—
1335	C₄⋊C₄	—	3	1	no	—
1336	C₄⋊C₄	—	3	1	no	—
1337	C₄⋊C₄	—	3	1	no	—
1338	C₄⋊C₄	—	3	1	no	—
1339	C₄⋊C₄	—	3	1	no	—
1340	C₄⋊C₄	—	3	1	no	—
1341	C₄⋊C₄	—	3	1	no	—
1342	C₄⋊C₄	—	3	1	no	—
1343	C₄⋊C₄	—	3	1	no	—
1344	C₄⋊C₄	—	3	1	no	—
1345	C₄⋊C₄	—	3	1	no	—
1346	C₄⋊C₄	—	3	1	no	—
1347	C₄⋊C₄	—	3	1	no	—
1348	C₄⋊C₄	—	3	1	no	—
1349	C₄⋊C₄	—	3	1	no	—
1350	C₄⋊C₄	—	3	1	no	—
1351	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1352	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1353	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1354	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1355	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1356	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1357	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1358	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1359	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1360	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1361	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1362	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1363	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1364	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1365	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1366	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1372	C₂²⋊C₄	—	3	1	no	—
1373	C₂²⋊C₄	—	3	1	no	—
1374	C₂²⋊C₄	—	3	1	no	—
1375	C₂²⋊C₄	—	3	1	no	—
1376	C₂²⋊C₄	—	3	1	no	—
1377	C₂²⋊C₄	—	3	1	no	—
1378	C₂²⋊C₄	—	3	1	no	—
1379	C₂²⋊C₄	—	3	1	no	—
1380	C₂²⋊C₄	—	3	1	no	—
1381	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1382	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1383	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1384	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1385	C₄²	—	3	1	no	—
1386	C₄²	—	3	1	no	—
1387	C₄²	—	3	1	no	—
1388	C₄²	—	3	1	no	—
1389	C₄²	—	3	1	no	—
1390	C₄²	—	3	1	no	—
1391	C₄²	—	3	1	no	—
1392	C₄²	—	3	1	no	—
1393	C₄²	—	3	1	no	—
1394	C₄²	—	3	1	no	—
1395	C₄²	—	3	1	no	—
1396	C₄²	—	3	1	no	—
1397	C₄²	—	3	1	no	—
1398	C₄²	—	3	1	no	—
1399	C₄²	—	3	1	no	—
1400	C₄²	—	3	1	no	—
1401	C₄²	—	3	1	no	—
1402	C₄²	—	3	1	no	—
1403	C₄²	—	3	1	no	—
1404	C₄²	—	3	1	no	—
1405	C₄²	—	3	1	no	—
1406	C₄²	—	3	1	no	—
1407	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1408	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1409	C₄²	C₂³×D₃	1	1	yes	characteristic
1410	C₄²	C₂³×D₃	1	1	yes	characteristic
1411	C₄²	C₂³×D₃	1	1	yes	characteristic
1412	C₄²	C₂³×D₃	1	1	yes	characteristic
1413	C₄²	C₂³×D₃	1	1	yes	characteristic
1414	C₄²	C₂³×D₃	1	1	yes	characteristic
1415	C₂²×C₃	—	2	1	no	—
1416	C₂²×C₃	—	2	1	no	—
1417	C₂²×C₃	—	2	1	no	—
1418	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1419	C₂×D₃	—	2	1	no	—
1420	C₂×D₃	—	2	1	no	—
1421	C₂×D₃	—	2	1	no	—
1422	C₂×D₃	—	2	1	no	—
1423	C₂×D₃	—	2	1	no	—
1424	C₂×D₃	#519	1	2	yes	—
1425	C₃×C₄	—	2	1	no	—
1426	C₃×C₄	—	2	1	no	—
1427	C₃×C₄	—	2	1	no	—
1428	C₃×C₄	—	2	1	no	—
1429	C₃×C₄	—	2	1	no	—
1430	C₃×C₄	—	2	1	no	—
1431	C₃×C₄	—	2	1	no	—
1432	C₃×C₄	—	2	1	no	—
1433	C₃×C₄	—	2	1	no	—
1434	C₃×C₄	—	2	1	no	—
1435	C₃×C₄	—	2	1	no	—
1436	C₃×C₄	—	2	1	no	—
1437	C₃×C₄	—	2	1	no	—
1438	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1439	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1440	Dic₃	—	2	1	no	—
1441	Dic₃	—	2	1	no	—
1442	Dic₃	—	2	1	no	—
1443	Dic₃	—	2	1	no	—
1444	Dic₃	—	2	1	no	—
1445	Dic₃	—	2	1	no	—
1446	Dic₃	—	2	1	no	—
1447	Dic₃	—	2	1	no	—
1448	Dic₃	—	2	1	no	—
1449	Dic₃	—	2	1	no	—
1450	Dic₃	—	2	1	no	—
1451	Dic₃	—	2	1	no	—
1452	Dic₃	#519	1	2	yes	—
1453	Dic₃	#568	1	2	yes	—
1454	C₂³	—	3	1	no	—
1455	C₂³	—	3	1	no	—
1456	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1457	Q₈	—	4	1	no	—
1458	Q₈	—	4	1	no	—
1459	Q₈	—	4	1	no	—
1460	Q₈	—	4	1	no	—
1461	Q₈	—	6	2	no	—
1462	Q₈	—	6	2	no	—
1463	Q₈	—	6	2	no	—
1464	Q₈	—	6	2	no	—
1465	Q₈	—	6	2	no	—
1466	Q₈	—	12	1	no	—
1467	Q₈	—	12	1	no	—
1468	Q₈	—	12	1	no	—
1469	Q₈	—	12	1	no	—
1470	Q₈	—	12	1	no	—
1471	Q₈	—	12	1	no	—
1472	Q₈	—	12	1	no	—
1473	Q₈	—	12	1	no	—
1474	D₄	—	6	2	no	—
1475	D₄	—	6	2	no	—
1476	D₄	—	6	2	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	3	1	no	—
1480	C₂×C₄	—	3	1	no	—
1481	C₂×C₄	—	3	2	no	—
1482	C₂×C₄	—	3	2	no	—
1483	C₂×C₄	—	3	1	no	—
1484	C₂×C₄	—	3	1	no	—
1485	C₂×C₄	—	3	1	no	—
1486	C₂×C₄	—	3	1	no	—
1487	C₂×C₄	—	3	1	no	—
1488	C₂×C₄	—	3	1	no	—
1489	C₂×C₄	—	3	1	no	—
1490	C₂×C₄	—	3	1	no	—
1491	C₂×C₄	—	3	1	no	—
1492	C₂×C₄	—	3	1	no	—
1493	C₂×C₄	—	3	1	no	—
1494	C₂×C₄	—	3	1	no	—
1495	C₂×C₄	—	4	1	no	—
1496	C₂×C₄	—	4	1	no	—
1497	C₂×C₄	—	6	2	no	—
1498	C₂×C₄	—	6	2	no	—
1499	C₂×C₄	—	6	2	no	—
1500	C₂×C₄	—	6	1	no	—
1501	C₂×C₄	—	6	1	no	—
1502	C₂×C₄	—	12	1	no	—
1503	C₂×C₄	—	12	1	no	—
1504	C₂×C₄	—	12	1	no	—
1505	C₂×C₄	—	12	1	no	—
1506	C₂×C₄	—	12	1	no	—
1507	C₂×C₄	—	12	1	no	—
1508	C₂×C₄	—	12	1	no	—
1509	C₂×C₄	—	12	1	no	—
1510	C₂×C₄	—	12	1	no	—
1511	C₂×C₄	—	12	1	no	—
1512	C₂×C₄	—	12	1	no	—
1513	C₂×C₄	—	12	1	no	—
1514	C₂×C₄	—	12	1	no	—
1515	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1516	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1517	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1518	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1519	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1520	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1521	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1522	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1523	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1524	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1525	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1526	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1527	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1528	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1529	C₈	—	2	1	no	—
1530	C₈	—	2	1	no	—
1531	C₈	—	2	1	no	—
1532	C₈	—	2	1	no	—
1533	C₈	—	2	1	no	—
1534	C₈	—	2	1	no	—
1535	C₈	—	2	1	no	—
1536	C₈	—	2	1	no	—
1537	C₈	—	6	1	no	—
1538	C₈	—	6	1	no	—
1539	C₈	—	6	1	no	—
1540	C₈	—	6	1	no	—
1541	C₈	—	6	1	no	—
1542	C₈	—	6	1	no	—
1543	C₈	—	6	1	no	—
1544	C₈	—	6	1	no	—
1545	C₂×C₃	—	4	1	no	—
1546	C₂×C₃	C₂×#519	1	1	yes	characteristic
1547	C₂×C₃	C₂×#568	1	1	yes	characteristic
1548	C₂×C₃	#3573	1	1	yes	characteristic
1549	D₃	—	2	2	no	—
1550	D₃	—	4	1	no	—
1551	C₂²	—	2	1	no	—
1552	C₂²	—	2	1	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	3	2	no	—
1555	C₂²	—	6	1	no	—
1556	C₂²	—	6	1	no	—
1557	C₂²	—	6	1	no	—
1558	C₂²	—	6	1	no	—
1559	C₂²	—	6	1	no	—
1560	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1561	C₄	—	2	1	no	—
1562	C₄	—	2	1	no	—
1563	C₄	—	2	1	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	3	2	no	—
1575	C₄	—	3	2	no	—
1576	C₄	—	6	1	no	—
1577	C₄	—	6	1	no	—
1578	C₄	—	6	1	no	—
1579	C₄	—	6	1	no	—
1580	C₄	—	6	1	no	—
1581	C₄	—	6	1	no	—
1582	C₄	—	6	1	no	—
1583	C₄	—	6	1	no	—
1584	C₄	—	6	1	no	—
1585	C₄	—	6	1	no	—
1586	C₄	—	6	1	no	—
1587	C₄	—	6	1	no	—
1588	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1589	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1590	C₃	#60254	1	1	yes	characteristic, complemented, Sylow
1591	C₂	—	4	1	no	—
1592	C₂	—	6	2	no	—
1593	C₂	—	12	1	no	—
1594	C₂	D₃×#519	1	1	yes	characteristic
1595	C₂	D₃×#568	1	1	yes	characteristic
1596	C₂	#87166	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2987	C₂
prime radical	C₂×#235	C₂³
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2987	D₃
hypocenter	C₃	#60254
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2987

Complements

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

N	H ≅ G/N	type
2. C₃×#2987	C₂	semidirect
3. #83331	C₂	semidirect
4. #79968	C₂	semidirect
5. #79968	C₂	semidirect
6. #79967	C₂	semidirect
7. #79966	C₂	semidirect
8. #79966	C₂	semidirect
9. #79965	C₂	semidirect
10. #79964	C₂	semidirect
11. #79963	C₂	semidirect
12. #79962	C₂	semidirect
13. #79961	C₂	semidirect
14. #79961	C₂	semidirect
15. #79960	C₂	semidirect
16. #79959	C₂	semidirect
17. #79959	C₂	semidirect
18. #79958	C₂	semidirect
19. D₃×#446	C₂	semidirect
24. #79361	C₂	semidirect
25. #79360	C₂	semidirect
26. #79359	C₂	semidirect
27. #79359	C₂	semidirect
30. #79315	C₂	semidirect
31. #79314	C₂	semidirect
208. #2987	D₃	semidirect
1590. C₃	#60254	semidirect

Maximal subgroups

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

subgroup	index
#86277	2
C₃×#2987	2
#83331	2
#79968	2
#79967	2
#79966	2
#79965	2
#79964	2
#79963	2
#79962	2
#79961	2
#79960	2
#79959	2
#79958	2
D₃×#446	2
#79375	2
#79373	2
#79372	2
#79361	2
#79360	2
#79359	2
#79334	2
#79332	2
#79315	2
#79314	2
#60254	3