Subgroups — #11675116

Order 768.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₃×#559	C₂	1	1	yes	maximal, characteristic, complemented
2	#87015	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
4	#83714	C₂	1	1	yes	maximal, characteristic, complemented
5	#83691	C₂	1	1	yes	maximal, characteristic, complemented
6	#81715	C₂	1	1	yes	maximal, characteristic, complemented
7	#81710	C₂	1	1	yes	maximal, characteristic, complemented
8	#81682	C₂	1	1	yes	maximal, characteristic, complemented
9	#81674	C₂	1	1	yes	maximal, characteristic, complemented
10	#81640	C₂	1	1	yes	maximal, characteristic, complemented
11	#81633	C₂	1	1	yes	maximal, characteristic, complemented
12	#81230	C₂	1	1	yes	maximal, characteristic, complemented
13	#81217	C₂	1	1	yes	maximal, characteristic, complemented
14	#81166	C₂	1	1	yes	maximal, characteristic, complemented
15	#81150	C₂	1	1	yes	maximal, characteristic, complemented
16	#81060	C₂	1	1	yes	maximal, characteristic, complemented
17	#81052	C₂	1	1	yes	maximal, characteristic, complemented
18	#80599	C₂	1	1	yes	maximal, characteristic, complemented
19	#80599	C₂	1	1	yes	maximal, characteristic, complemented
20	#80585	C₂	1	1	yes	maximal, characteristic, complemented
21	#80581	C₂	1	1	yes	maximal, characteristic, complemented
22	#80384	C₂	1	1	yes	maximal, characteristic
23	#80373	C₂	1	1	yes	maximal, characteristic, complemented
24	#79971	C₂	1	1	yes	maximal, characteristic, complemented
25	#79962	C₂	1	1	yes	maximal, characteristic, complemented
26	#79829	C₂	1	1	yes	maximal, characteristic, complemented
27	#79816	C₂	1	1	yes	maximal, characteristic, complemented
28	#79773	C₂	1	1	yes	maximal, characteristic, complemented
29	#79756	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#914	C₂	1	1	yes	maximal, characteristic, complemented
31	#79624	C₂	1	1	yes	maximal, characteristic, complemented
32	#61324	—	3	1	no	maximal, Sylow
33	C₃×#559	C₂²	1	1	yes	characteristic
34	C₃×#557	C₂²	1	1	yes	characteristic, complemented
35	C₂×#918	C₂²	1	1	yes	characteristic
36	C₂×#914	C₂²	1	1	yes	characteristic
37	C₂×#914	C₂²	1	1	yes	characteristic
38	#5728	—	2	1	no	—
39	#5728	C₂²	1	1	yes	characteristic
40	#5727	—	2	1	no	—
41	#5727	C₂²	1	1	yes	characteristic, complemented
42	D₃×#127	C₂²	1	1	yes	characteristic
43	#5713	C₂²	1	1	yes	characteristic
44	#5690	—	2	1	no	—
45	#5690	—	2	1	no	—
46	#5690	C₂²	1	1	yes	characteristic, complemented
47	#5690	C₂²	1	1	yes	characteristic, complemented
48	#5688	—	2	1	no	—
49	#5688	—	2	1	no	—
50	#5688	C₂²	1	1	yes	characteristic
51	#5688	C₂²	1	1	yes	characteristic
52	#5681	—	2	1	no	—
53	#5681	C₂²	1	1	yes	characteristic
54	#5681	C₂²	1	1	yes	characteristic
55	D₃×#124	—	2	1	no	—
56	D₃×#124	C₂²	1	1	yes	characteristic
57	D₃×#124	C₂²	1	1	yes	characteristic
58	#5664	—	2	1	no	—
59	#5664	—	2	1	no	—
60	D₃×#123	—	2	1	no	—
61	D₃×#123	—	2	1	no	—
62	#5585	C₂²	1	1	yes	characteristic
63	#5585	C₂²	1	1	yes	characteristic
64	#5579	—	2	1	no	—
65	#5579	C₂²	1	1	yes	characteristic, complemented
66	C₄×#239	C₂²	1	1	yes	characteristic
67	C₄×#239	C₂²	1	1	yes	characteristic
68	C₄×#239	C₂²	1	1	yes	characteristic
69	C₄×D₃×Q₈	—	2	1	no	—
70	C₄×D₃×Q₈	C₂²	1	1	yes	characteristic
71	C₄×D₃×Q₈	C₂²	1	1	yes	characteristic
72	#5569	C₂²	1	1	yes	characteristic, complemented
73	#5569	C₂²	1	1	yes	characteristic, complemented
74	Q₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
75	#5559	—	2	1	no	—
76	#5559	C₂²	1	1	yes	characteristic
77	#5559	C₂²	1	1	yes	characteristic
78	C₄×D₃×D₄	—	2	1	no	—
79	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
80	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
81	C₃×#490	C₂²	1	1	yes	characteristic
82	C₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₃×#488	C₂²	1	1	yes	characteristic, complemented
84	C₃×#479	C₂²	1	1	yes	characteristic, complemented
85	C₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₃×#476	C₂²	1	1	yes	characteristic, complemented
87	C₃×#464	C₂²	1	1	yes	characteristic, complemented
88	C₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₃×#460	C₂²	1	1	yes	characteristic
90	C₃×#446	C₂²	1	1	yes	characteristic, complemented
91	C₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₃×#440	C₂²	1	1	yes	characteristic, complemented
93	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
94	#5185	C₂²	1	1	yes	characteristic, complemented
95	#5185	C₂²	1	1	yes	characteristic, complemented
96	Dic₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
97	#5166	C₂²	1	1	yes	characteristic, complemented
98	#5166	C₂²	1	1	yes	characteristic, complemented
99	#5164	C₂²	1	1	yes	characteristic, complemented
100	#5163	C₂²	1	1	yes	characteristic
101	#5163	C₂²	1	1	yes	characteristic
102	Dic₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
103	#5089	C₂²	1	1	yes	characteristic, complemented
104	#5084	C₂²	1	1	yes	characteristic, complemented
105	#5072	C₂²	1	1	yes	characteristic
106	#5071	C₂²	1	1	yes	characteristic
107	#5068	C₂²	1	1	yes	characteristic, complemented
108	#5067	C₂²	1	1	yes	characteristic
109	#5066	C₂²	1	1	yes	characteristic, complemented
110	#5063	C₂²	1	1	yes	characteristic, complemented
111	#5057	C₂²	1	1	yes	characteristic, complemented
112	#5057	C₂²	1	1	yes	characteristic, complemented
113	#5056	C₂²	1	1	yes	characteristic, complemented
114	#5055	C₂²	1	1	yes	characteristic, complemented
115	#5030	C₂²	1	1	yes	characteristic, complemented
116	#5028	C₂²	1	1	yes	characteristic, complemented
117	#5028	C₂²	1	1	yes	characteristic, complemented
118	#5027	C₂²	1	1	yes	characteristic
119	#5026	C₂²	1	1	yes	characteristic, complemented
120	#5026	C₂²	1	1	yes	characteristic, complemented
121	C₄×#215	C₂²	1	1	yes	characteristic, complemented
122	#5024	C₂²	1	1	yes	characteristic, complemented
123	#5022	C₂²	1	1	yes	characteristic, complemented
124	#5014	C₂²	1	1	yes	characteristic, complemented
125	C₄×#213	C₂²	1	1	yes	characteristic, complemented
126	#5009	C₂²	1	1	yes	characteristic, complemented
127	#5007	C₂²	1	1	yes	characteristic, complemented
128	#4890	C₂²	1	1	yes	characteristic, complemented
129	#4881	C₂²	1	1	yes	characteristic
130	#4875	C₂²	1	1	yes	characteristic, complemented
131	#4872	C₂²	1	1	yes	characteristic, complemented
132	#4871	C₂²	1	1	yes	characteristic, complemented
133	#4871	C₂²	1	1	yes	characteristic, complemented
134	#4870	C₂²	1	1	yes	characteristic, complemented
135	#4869	C₂²	1	1	yes	characteristic, complemented
136	#4861	C₂²	1	1	yes	characteristic
137	#4861	C₂²	1	1	yes	characteristic
138	#4854	C₂²	1	1	yes	characteristic, complemented
139	#4852	C₂²	1	1	yes	characteristic, complemented
140	#4847	C₂²	1	1	yes	characteristic, complemented
141	#4846	C₂²	1	1	yes	characteristic, complemented
142	#4844	C₂²	1	1	yes	characteristic, complemented
143	#4844	C₂²	1	1	yes	characteristic, complemented
144	#4843	C₂²	1	1	yes	characteristic
145	#4837	C₂²	1	1	yes	characteristic
146	#4837	C₂²	1	1	yes	characteristic
147	#4837	C₂²	1	1	yes	characteristic
148	#4830	C₂²	1	1	yes	characteristic, complemented
149	#4829	C₂²	1	1	yes	characteristic, complemented
150	#4828	C₂²	1	1	yes	characteristic, complemented
151	#4828	C₂²	1	1	yes	characteristic, complemented
152	#4819	C₂²	1	1	yes	characteristic, complemented
153	#4819	C₂²	1	1	yes	characteristic, complemented
154	#4817	C₂²	1	1	yes	characteristic, complemented
155	#4803	C₂²	1	1	yes	characteristic
156	#4802	C₂²	1	1	yes	characteristic
157	#4802	C₂²	1	1	yes	characteristic
158	#4802	C₂²	1	1	yes	characteristic
159	#4800	C₂²	1	1	yes	characteristic, complemented
160	#4800	C₂²	1	1	yes	characteristic, complemented
161	#4794	C₂²	1	1	yes	characteristic, complemented
162	#4794	C₂²	1	1	yes	characteristic, complemented
163	#4793	C₂²	1	1	yes	characteristic, complemented
164	#4791	C₂²	1	1	yes	characteristic, complemented
165	#4790	C₂²	1	1	yes	characteristic, complemented
166	#4788	C₂²	1	1	yes	characteristic, complemented
167	#4788	C₂²	1	1	yes	characteristic, complemented
168	#4787	C₂²	1	1	yes	characteristic, complemented
169	#4787	C₂²	1	1	yes	characteristic, complemented
170	#4786	C₂²	1	1	yes	characteristic
171	#4786	C₂²	1	1	yes	characteristic
172	#4785	C₂²	1	1	yes	characteristic, complemented
173	#4770	C₂²	1	1	yes	characteristic
174	#4770	C₂²	1	1	yes	characteristic
175	#4770	C₂²	1	1	yes	characteristic
176	#4770	C₂²	1	1	yes	characteristic
177	#4770	C₂²	1	1	yes	characteristic
178	#4770	C₂²	1	1	yes	characteristic
179	#4768	C₂²	1	1	yes	characteristic, complemented
180	#4768	C₂²	1	1	yes	characteristic, complemented
181	#4766	C₂²	1	1	yes	characteristic, complemented
182	#4766	C₂²	1	1	yes	characteristic, complemented
183	#4765	C₂²	1	1	yes	characteristic, complemented
184	#4765	C₂²	1	1	yes	characteristic, complemented
185	#4761	C₂²	1	1	yes	characteristic, complemented
186	#4760	C₂²	1	1	yes	characteristic
187	#4760	C₂²	1	1	yes	characteristic
188	#4760	C₂²	1	1	yes	characteristic
189	#4760	C₂²	1	1	yes	characteristic
190	#4759	C₂²	1	1	yes	characteristic, complemented
191	#4756	C₂²	1	1	yes	characteristic, complemented
192	#4714	C₂²	1	1	yes	characteristic, complemented
193	#4713	C₂²	1	1	yes	characteristic
194	#4711	C₂²	1	1	yes	characteristic, complemented
195	#4710	C₂²	1	1	yes	characteristic, complemented
196	#4707	C₂²	1	1	yes	characteristic
197	#4707	C₂²	1	1	yes	characteristic
198	#4701	C₂²	1	1	yes	characteristic, complemented
199	#4701	C₂²	1	1	yes	characteristic, complemented
200	#4697	C₂²	1	1	yes	characteristic, complemented
201	C₄×D₂₄	C₂²	1	1	yes	characteristic, complemented
202	C₄×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic
203	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
204	C₂×#559	—	3	1	no	—
205	Q₈×#41	—	3	1	no	—
206	#3375	—	3	1	no	—
207	#3375	—	3	1	no	—
208	#3373	—	3	1	no	—
209	#3373	—	3	1	no	—
210	#3371	—	3	1	no	—
211	#3371	—	3	1	no	—
212	#3371	—	3	1	no	—
213	#3371	D₃	1	1	yes	characteristic, complemented
214	#3370	—	3	1	no	—
215	#3370	—	3	1	no	—
216	#3370	—	3	1	no	—
217	#3370	—	3	1	no	—
218	#3365	—	3	1	no	—
219	#3365	—	3	1	no	—
220	#3361	—	3	1	no	—
221	#3361	—	3	1	no	—
222	#3140	—	3	1	no	—
223	#3140	—	3	1	no	—
224	#3138	—	3	1	no	—
225	#3078	—	3	1	no	—
226	#3077	—	3	1	no	—
227	#3077	—	3	1	no	—
228	#3040	—	3	1	no	—
229	#3040	—	3	1	no	—
230	#3038	—	3	1	no	—
231	Q₈×M₁₆	—	3	1	no	—
232	C₄×#137	—	3	1	no	—
233	C₄×AGL(1,ℤ/8)	—	3	1	no	—
234	C₄×AGL(1,ℤ/8)	—	3	1	no	—
235	C₂×#239	C₂³	1	1	yes	characteristic
236	C₂×D₃×Q₈	—	2	1	no	—
237	C₂×D₃×Q₈	D₄	1	1	yes	characteristic
238	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
239	C₂×D₃×D₄	—	2	1	no	—
240	C₂×D₃×D₄	—	2	1	no	—
241	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
242	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₃	—	2	1	no	—
244	C₂²×C₄×D₃	—	2	1	no	—
245	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₃×C₄⋊Q₈	—	2	1	no	—
249	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
250	C₃×#127	C₂³	1	1	yes	characteristic
251	C₃×#125	—	2	1	no	—
252	C₃×#125	—	2	1	no	—
253	C₃×#125	C₂³	1	1	yes	characteristic
254	C₃×#125	C₂³	1	1	yes	characteristic
255	C₃×#124	—	2	1	no	—
256	C₃×#124	C₂³	1	1	yes	characteristic
257	C₃×#124	C₂³	1	1	yes	characteristic
258	C₃×#123	—	2	1	no	—
259	C₃×#123	—	2	1	no	—
260	C₃×C₄×Q₈	—	2	1	no	—
261	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
262	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
263	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
264	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
265	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
266	C₃×C₄×D₄	—	2	1	no	—
267	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	#947	—	2	1	no	—
270	#947	C₂³	1	1	yes	characteristic
271	#947	C₂³	1	1	yes	characteristic
272	#946	—	2	1	no	—
273	#946	—	2	1	no	—
274	#946	—	2	1	no	—
275	Q₈×Dic₃	—	2	1	no	—
276	Q₈×Dic₃	D₄	1	1	yes	characteristic
277	Q₈×Dic₃	C₂³	1	1	yes	characteristic
278	Q₈×Dic₃	C₂³	1	1	yes	characteristic
279	Q₈×Dic₃	C₂³	1	1	yes	characteristic
280	Q₈×Dic₃	C₂³	1	1	yes	characteristic
281	C₂×#216	C₂³	1	1	yes	characteristic
282	C₂×#215	C₂³	1	1	yes	characteristic
283	C₂×#215	C₂³	1	1	yes	characteristic
284	C₂×#215	C₂³	1	1	yes	characteristic
285	#940	—	2	1	no	—
286	#940	—	2	1	no	—
287	#940	C₂³	1	1	yes	characteristic
288	#940	C₂³	1	1	yes	characteristic
289	#936	—	2	1	no	—
290	#936	C₂³	1	1	yes	characteristic
291	#936	C₂³	1	1	yes	characteristic
292	#935	—	2	1	no	—
293	#935	—	2	1	no	—
294	D₄×Dic₃	—	2	1	no	—
295	D₄×Dic₃	C₂³	1	1	yes	characteristic
296	D₄×Dic₃	C₂³	1	1	yes	characteristic
297	C₂×#213	C₂³	1	1	yes	characteristic
298	C₂×#213	C₂³	1	1	yes	characteristic
299	#929	—	2	1	no	—
300	#929	—	2	1	no	—
301	C₄×#67	—	2	1	no	—
302	C₄×#67	—	2	1	no	—
303	C₄×#67	—	2	1	no	—
304	C₄×#67	—	2	1	no	—
305	#918	—	2	4	no	—
306	#914	—	2	4	no	—
307	#914	—	2	4	no	—
308	C₂×D₂₄	C₂³	1	1	yes	characteristic
309	C₂×D₂₄	C₂³	1	1	yes	characteristic
310	C₂×#204	C₂³	1	1	yes	characteristic
311	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
312	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
313	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
314	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
315	#897	—	2	1	no	—
316	#897	—	2	1	no	—
317	#897	—	2	1	no	—
318	#896	—	2	1	no	—
319	#896	—	2	1	no	—
320	#896	—	2	1	no	—
321	#896	—	2	1	no	—
322	#896	—	2	1	no	—
323	#896	—	2	1	no	—
324	#896	—	2	1	no	—
325	#896	—	2	1	no	—
326	#896	—	2	1	no	—
327	#896	—	2	1	no	—
328	#896	—	2	1	no	—
329	#896	—	2	1	no	—
330	#894	—	2	1	no	—
331	#894	—	2	1	no	—
332	#894	—	2	1	no	—
333	#894	—	2	1	no	—
334	#893	—	2	1	no	—
335	#893	—	2	1	no	—
336	#893	—	2	1	no	—
337	#893	—	2	1	no	—
338	#893	C₂³	1	1	yes	characteristic
339	#893	C₂³	1	1	yes	characteristic
340	#893	C₂³	1	1	yes	characteristic
341	#893	C₂³	1	1	yes	characteristic
342	#893	C₂³	1	1	yes	characteristic
343	#892	—	2	1	no	—
344	#892	—	2	1	no	—
345	#892	—	2	1	no	—
346	#892	C₂³	1	1	yes	characteristic
347	#892	C₂³	1	1	yes	characteristic
348	#892	C₂³	1	1	yes	characteristic
349	D₃×C₄⋊C₄	—	2	1	no	—
350	D₃×C₄⋊C₄	—	2	1	no	—
351	D₃×C₄⋊C₄	—	2	1	no	—
352	D₃×C₄⋊C₄	—	2	1	no	—
353	D₃×C₄⋊C₄	D₄	1	1	yes	characteristic
354	D₃×C₄⋊C₄	D₄	1	1	yes	characteristic
355	D₃×C₄⋊C₄	D₄	1	1	yes	characteristic
356	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
357	#890	—	2	1	no	—
358	#890	—	2	1	no	—
359	#890	C₂³	1	1	yes	characteristic
360	#890	C₂³	1	1	yes	characteristic
361	#888	—	2	1	no	—
362	#888	—	2	1	no	—
363	#888	—	2	1	no	—
364	#888	—	2	1	no	—
365	#888	C₂³	1	1	yes	characteristic
366	#888	C₂³	1	1	yes	characteristic
367	#888	C₂³	1	1	yes	characteristic
368	#888	C₂³	1	1	yes	characteristic
369	#887	—	2	1	no	—
370	#887	—	2	1	no	—
371	#887	—	2	1	no	—
372	#887	—	2	1	no	—
373	#887	—	2	1	no	—
374	#887	—	2	1	no	—
375	#887	D₄	1	1	yes	characteristic
376	#887	D₄	1	1	yes	characteristic
377	#887	D₄	1	1	yes	characteristic
378	#887	C₂³	1	1	yes	characteristic
379	#886	—	2	1	no	—
380	#886	—	2	1	no	—
381	#885	—	2	1	no	—
382	#885	—	2	1	no	—
383	#885	—	2	1	no	—
384	#885	—	2	1	no	—
385	#885	—	2	1	no	—
386	#885	—	2	1	no	—
387	#885	—	2	1	no	—
388	#885	—	2	1	no	—
389	#883	—	2	1	no	—
390	#883	—	2	1	no	—
391	#883	—	2	1	no	—
392	#883	—	2	1	no	—
393	#67⋊C₄	—	2	1	no	—
394	#67⋊C₄	—	2	1	no	—
395	#67⋊C₄	—	2	1	no	—
396	#67⋊C₄	—	2	1	no	—
397	D₃×C₂²⋊C₄	—	2	1	no	—
398	D₃×C₂²⋊C₄	—	2	1	no	—
399	D₃×C₂²⋊C₄	—	2	1	no	—
400	D₃×C₂²⋊C₄	—	2	1	no	—
401	D₃×C₂²⋊C₄	—	2	1	no	—
402	D₃×C₂²⋊C₄	—	2	1	no	—
403	#875	—	2	1	no	—
404	#875	C₂³	1	1	yes	characteristic
405	#875	C₂³	1	1	yes	characteristic
406	#874	C₂³	1	1	yes	characteristic
407	C₄×D₁₂	—	2	1	no	—
408	C₄×D₁₂	—	2	1	no	—
409	C₄×D₁₂	—	2	1	no	—
410	C₄×D₁₂	—	2	1	no	—
411	C₄×D₁₂	C₂³	1	1	yes	characteristic
412	C₄×D₁₂	C₂³	1	1	yes	characteristic
413	C₄×D₁₂	C₂³	1	1	yes	characteristic
414	C₄×D₁₂	C₂³	1	1	yes	characteristic
415	C₄×D₁₂	C₂³	1	1	yes	characteristic
416	C₄²×D₃	—	2	1	no	—
417	C₄²×D₃	—	2	1	no	—
418	C₄²×D₃	—	2	1	no	—
419	C₄²×D₃	—	2	1	no	—
420	C₄²×D₃	C₂³	1	1	yes	characteristic
421	C₄²×D₃	C₂³	1	1	yes	characteristic
422	C₄²×D₃	C₂³	1	1	yes	characteristic
423	#870	—	2	1	no	—
424	#870	—	2	1	no	—
425	#870	C₂³	1	1	yes	characteristic
426	#870	C₂³	1	1	yes	characteristic
427	#869	—	2	1	no	—
428	#869	C₂³	1	1	yes	characteristic
429	C₄×Dic₆	—	2	1	no	—
430	C₄×Dic₆	—	2	1	no	—
431	C₄×Dic₆	—	2	1	no	—
432	C₄×Dic₆	—	2	1	no	—
433	C₄×Dic₆	C₂³	1	1	yes	characteristic
434	C₄×Dic₆	C₂³	1	1	yes	characteristic
435	C₄×Dic₆	C₂³	1	1	yes	characteristic
436	C₄×Dic₆	C₂³	1	1	yes	characteristic
437	C₃×#107	C₂³	1	1	yes	characteristic
438	C₃×#106	C₂³	1	1	yes	characteristic
439	C₃×#106	C₂³	1	1	yes	characteristic
440	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
443	C₃×#103	C₂³	1	1	yes	characteristic
444	C₃×#103	C₂³	1	1	yes	characteristic
445	C₃×#103	C₂³	1	1	yes	characteristic
446	C₃×#103	C₂³	1	1	yes	characteristic
447	C₃×#102	C₂³	1	1	yes	characteristic
448	C₃×#102	C₂³	1	1	yes	characteristic
449	C₃×#102	C₂³	1	1	yes	characteristic
450	C₃×#102	C₂³	1	1	yes	characteristic
451	C₃×#102	C₂³	1	1	yes	characteristic
452	C₃×#102	C₂³	1	1	yes	characteristic
453	C₃×#97	C₂³	1	1	yes	characteristic
454	C₃×#97	C₂³	1	1	yes	characteristic
455	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
456	#835	C₂³	1	1	yes	characteristic
457	#835	C₂³	1	1	yes	characteristic
458	#835	C₂³	1	1	yes	characteristic
459	#835	C₂³	1	1	yes	characteristic
460	#832	C₂³	1	1	yes	characteristic
461	#832	C₂³	1	1	yes	characteristic
462	#832	C₂³	1	1	yes	characteristic
463	#832	C₂³	1	1	yes	characteristic
464	#832	C₂³	1	1	yes	characteristic
465	#832	C₂³	1	1	yes	characteristic
466	#821	C₂³	1	1	yes	characteristic
467	#821	C₂³	1	1	yes	characteristic
468	#821	C₂³	1	1	yes	characteristic
469	#821	C₂³	1	1	yes	characteristic
470	#821	C₂³	1	1	yes	characteristic
471	#821	C₂³	1	1	yes	characteristic
472	#821	C₂³	1	1	yes	characteristic
473	#818	C₂³	1	1	yes	characteristic
474	#818	C₂³	1	1	yes	characteristic
475	#817	C₂³	1	1	yes	characteristic
476	#816	C₂³	1	1	yes	characteristic
477	#816	C₂³	1	1	yes	characteristic
478	#816	C₂³	1	1	yes	characteristic
479	#815	C₂³	1	1	yes	characteristic
480	#815	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	C₈×Dic₃	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	#810	C₂³	1	1	yes	characteristic
492	#810	C₂³	1	1	yes	characteristic
493	#810	C₂³	1	1	yes	characteristic
494	#809	C₂³	1	1	yes	characteristic
495	#809	C₂³	1	1	yes	characteristic
496	#809	C₂³	1	1	yes	characteristic
497	#809	C₂³	1	1	yes	characteristic
498	#809	C₂³	1	1	yes	characteristic
499	#809	C₂³	1	1	yes	characteristic
500	#809	C₂³	1	1	yes	characteristic
501	#808	C₂³	1	1	yes	characteristic
502	#808	C₂³	1	1	yes	characteristic
503	#808	C₂³	1	1	yes	characteristic
504	#807	C₂³	1	1	yes	characteristic
505	#807	C₂³	1	1	yes	characteristic
506	#807	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	#803	C₂³	1	1	yes	characteristic
511	#803	C₂³	1	1	yes	characteristic
512	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
513	C₂×#137	—	3	1	no	—
514	C₂×AGL(1,ℤ/8)	—	3	1	no	—
515	C₂×AGL(1,ℤ/8)	—	3	1	no	—
516	#559	—	3	1	no	—
517	#559	—	3	1	no	—
518	#559	—	3	1	no	—
519	#559	—	3	1	no	—
520	#559	—	3	1	no	—
521	#559	—	3	1	no	—
522	#559	—	3	1	no	—
523	#559	—	6	1	no	—
524	#559	—	6	1	no	—
525	#559	—	6	1	no	—
526	#559	—	6	1	no	—
527	#559	C₂×D₃	1	1	yes	characteristic
528	Q₈²	—	3	1	no	—
529	#557	—	3	1	no	—
530	#557	—	3	1	no	—
531	#557	C₂×D₃	1	1	yes	characteristic, complemented
532	#554	—	3	1	no	—
533	#554	—	3	1	no	—
534	#554	—	3	1	no	—
535	#554	—	6	1	no	—
536	#554	—	6	1	no	—
537	#554	—	6	1	no	—
538	D₄×Q₈	—	3	1	no	—
539	D₄×Q₈	—	6	1	no	—
540	#533	—	3	1	no	—
541	#533	—	3	1	no	—
542	#533	—	3	1	no	—
543	#533	—	6	1	no	—
544	#533	—	6	1	no	—
545	#533	—	6	1	no	—
546	C₂×#127	—	3	1	no	—
547	C₂×#124	—	3	1	no	—
548	C₂×#124	—	3	1	no	—
549	C₂×#124	—	6	1	no	—
550	C₂×#123	—	6	1	no	—
551	C₂×#123	—	6	1	no	—
552	C₄×#41	—	3	1	no	—
553	C₄×#41	—	3	1	no	—
554	C₄×#41	—	3	1	no	—
555	C₂×C₄×Q₈	—	3	1	no	—
556	C₂×C₄×Q₈	—	3	1	no	—
557	C₂×C₄×Q₈	—	6	1	no	—
558	C₂×C₄×D₄	—	3	1	no	—
559	C₂×C₄×D₄	—	3	1	no	—
560	C₂×C₄×D₄	—	6	1	no	—
561	#490	—	3	1	no	—
562	#490	—	3	1	no	—
563	#490	—	3	1	no	—
564	#490	C₂×D₃	1	1	yes	characteristic
565	#489	—	3	1	no	—
566	#489	—	3	1	no	—
567	#489	—	3	1	no	—
568	#489	—	3	1	no	—
569	#489	—	3	1	no	—
570	#489	—	3	1	no	—
571	#489	—	3	1	no	—
572	#489	C₂×D₃	1	1	yes	characteristic, complemented
573	#488	—	3	1	no	—
574	#488	—	3	1	no	—
575	#488	—	3	1	no	—
576	#488	—	3	1	no	—
577	#488	—	3	1	no	—
578	#488	—	3	1	no	—
579	#488	—	3	1	no	—
580	#488	C₂×D₃	1	1	yes	characteristic, complemented
581	#486	—	3	1	no	—
582	#486	—	3	1	no	—
583	#486	—	3	1	no	—
584	#486	—	3	1	no	—
585	#479	—	3	1	no	—
586	#479	—	3	1	no	—
587	#479	—	3	1	no	—
588	#479	C₂×D₃	1	1	yes	characteristic, complemented
589	#478	—	3	1	no	—
590	#478	—	3	1	no	—
591	#478	—	3	1	no	—
592	#478	—	3	1	no	—
593	#478	—	3	1	no	—
594	#478	—	3	1	no	—
595	#478	—	3	1	no	—
596	#478	C₂×D₃	1	1	yes	characteristic, complemented
597	#477	—	3	1	no	—
598	#477	—	3	1	no	—
599	#476	—	3	1	no	—
600	#476	—	3	1	no	—
601	#476	—	3	1	no	—
602	#476	C₂×D₃	1	1	yes	characteristic, complemented
603	#475	—	3	1	no	—
604	#475	—	3	1	no	—
605	#474	—	3	1	no	—
606	#474	—	3	1	no	—
607	#474	—	3	1	no	—
608	#474	—	3	1	no	—
609	#464	—	3	1	no	—
610	#464	—	3	1	no	—
611	#464	—	3	1	no	—
612	#464	—	3	1	no	—
613	#464	—	3	1	no	—
614	#464	—	3	1	no	—
615	#464	C₂×D₃	1	1	yes	characteristic, complemented
616	#464	C₂×D₃	1	1	yes	characteristic, complemented
617	#463	—	3	1	no	—
618	#463	—	3	1	no	—
619	#463	—	3	1	no	—
620	#463	—	3	1	no	—
621	#463	—	3	1	no	—
622	#463	—	3	1	no	—
623	#463	—	3	1	no	—
624	#463	—	3	1	no	—
625	#460	—	3	1	no	—
626	#460	—	3	1	no	—
627	#460	—	3	1	no	—
628	#460	C₂×D₃	1	1	yes	characteristic
629	#459	—	3	1	no	—
630	#459	—	3	1	no	—
631	#459	—	3	1	no	—
632	#459	—	3	1	no	—
633	#446	—	3	1	no	—
634	#446	—	3	1	no	—
635	#446	—	3	1	no	—
636	#446	—	3	1	no	—
637	#446	—	3	1	no	—
638	#446	C₂×D₃	1	1	yes	characteristic, complemented
639	C₈×Q₈	—	3	1	no	—
640	C₈×Q₈	—	3	1	no	—
641	#442	—	3	1	no	—
642	#442	—	3	1	no	—
643	#442	—	3	1	no	—
644	#442	—	3	1	no	—
645	#441	—	3	1	no	—
646	#441	C₂×D₃	1	1	yes	characteristic, complemented
647	#440	—	3	1	no	—
648	#440	—	3	1	no	—
649	#440	—	3	1	no	—
650	#440	—	3	1	no	—
651	#440	—	3	1	no	—
652	#440	C₂×D₃	1	1	yes	characteristic, complemented
653	C₄×Q₁₆	—	3	1	no	—
654	C₄×Q₁₆	—	3	1	no	—
655	C₄×SD₁₆	—	3	1	no	—
656	C₄×SD₁₆	—	3	1	no	—
657	C₄×SD₁₆	—	3	1	no	—
658	C₄×SD₁₆	—	3	1	no	—
659	C₄×SD₁₆	—	3	1	no	—
660	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic, complemented
661	C₄×D₈	—	3	1	no	—
662	C₄×D₈	—	3	1	no	—
663	C₄×D₈	—	3	1	no	—
664	C₄×D₈	—	3	1	no	—
665	#428	—	3	1	no	—
666	#428	—	3	1	no	—
667	#428	—	3	1	no	—
668	#423	—	3	1	no	—
669	#423	—	3	1	no	—
670	#423	—	3	1	no	—
671	#419	—	3	1	no	—
672	#419	—	3	1	no	—
673	#419	—	3	1	no	—
674	#418	—	3	1	no	—
675	#418	—	3	1	no	—
676	#418	—	3	1	no	—
677	#418	—	3	1	no	—
678	#418	—	3	1	no	—
679	#418	—	3	1	no	—
680	#417	—	3	1	no	—
681	C₄×M₁₆	—	3	1	no	—
682	C₄×M₁₆	—	3	1	no	—
683	C₄×M₁₆	—	3	1	no	—
684	C₂³×D₃	—	2	1	no	—
685	C₂³×D₃	—	2	1	no	—
686	C₂×C₃×Q₈	—	2	1	no	—
687	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
688	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
689	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
690	C₂×C₃×D₄	—	2	1	no	—
691	C₂×C₃×D₄	—	2	1	no	—
692	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
693	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
694	C₂²×C₃×C₄	—	2	1	no	—
695	C₂²×C₃×C₄	—	2	1	no	—
696	C₂×#67	—	2	1	no	—
697	C₂×#67	—	2	1	no	—
698	C₂×#67	—	2	1	no	—
699	C₂×#67	—	2	1	no	—
700	C₂×#67	—	2	1	no	—
701	C₂×#67	—	2	1	no	—
702	C₂²×Dic₃	—	2	1	no	—
703	C₂²×Dic₃	—	2	1	no	—
704	#239	—	2	2	no	—
705	#239	#41	1	4	yes	—
706	D₃×Q₈	—	2	2	no	—
707	D₃×Q₈	—	2	2	no	—
708	D₃×Q₈	—	4	2	no	—
709	D₃×Q₈	—	4	4	no	—
710	D₃×D₄	—	2	2	no	—
711	D₃×D₄	—	2	2	no	—
712	D₃×D₄	—	2	2	no	—
713	D₃×D₄	—	2	2	no	—
714	D₃×D₄	—	4	4	no	—
715	D₃×D₄	—	8	2	no	—
716	C₂×D₁₂	—	2	1	no	—
717	C₂×D₁₂	—	2	1	no	—
718	C₂×D₁₂	—	2	1	no	—
719	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
720	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
721	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
722	C₂×C₄×D₃	—	2	1	no	—
723	C₂×C₄×D₃	—	2	1	no	—
724	C₂×C₄×D₃	—	2	1	no	—
725	C₂×C₄×D₃	—	2	1	no	—
726	C₂×C₄×D₃	—	2	1	no	—
727	C₂×C₄×D₃	—	2	1	no	—
728	C₂×C₄×D₃	—	2	1	no	—
729	C₂×C₄×D₃	—	2	1	no	—
730	C₂×C₄×D₃	—	2	1	no	—
731	C₂×C₄×D₃	—	2	1	no	—
732	C₂×C₄×D₃	—	2	1	no	—
733	C₂×C₄×D₃	—	2	1	no	—
734	C₂×C₄×D₃	—	2	1	no	—
735	C₂×C₄×D₃	—	8	2	no	—
736	C₂×C₄×D₃	—	8	2	no	—
737	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
738	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
739	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
740	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
741	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
742	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
743	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
744	C₂×Dic₆	—	2	1	no	—
745	C₂×Dic₆	—	2	1	no	—
746	C₂×Dic₆	—	2	1	no	—
747	C₂×Dic₆	—	2	1	no	—
748	C₂×Dic₆	—	2	1	no	—
749	C₂×Dic₆	—	2	1	no	—
750	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
751	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
752	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
753	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
754	C₃×Q₁₆	—	2	2	no	—
755	C₃×SD₁₆	—	2	2	no	—
756	C₃×SD₁₆	—	2	2	no	—
757	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
758	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
759	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
760	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
761	C₃×C₄⋊C₄	—	2	1	no	—
762	C₃×C₄⋊C₄	—	2	1	no	—
763	C₃×C₄⋊C₄	—	2	1	no	—
764	C₃×C₄⋊C₄	—	2	1	no	—
765	C₃×C₄⋊C₄	—	2	1	no	—
766	C₃×C₄⋊C₄	—	2	1	no	—
767	C₃×C₄⋊C₄	—	2	1	no	—
768	C₃×C₄⋊C₄	—	2	1	no	—
769	C₃×C₄⋊C₄	—	2	1	no	—
770	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
771	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
772	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
773	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
774	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
775	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
776	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
777	C₃×C₂²⋊C₄	—	2	1	no	—
778	C₃×C₂²⋊C₄	—	2	1	no	—
779	C₃×C₂²⋊C₄	—	2	1	no	—
780	C₃×C₂²⋊C₄	—	2	1	no	—
781	C₃×C₂²⋊C₄	—	2	1	no	—
782	C₃×C₂²⋊C₄	—	2	1	no	—
783	C₃×C₄²	—	2	1	no	—
784	C₃×C₄²	—	2	1	no	—
785	C₃×C₄²	—	2	1	no	—
786	C₃×C₄²	—	2	1	no	—
787	C₃×C₄²	C₂⁴	1	1	yes	characteristic
788	C₃×C₄²	C₂⁴	1	1	yes	characteristic
789	C₃×C₄²	C₂⁴	1	1	yes	characteristic
790	#217	—	2	1	no	—
791	#217	—	2	1	no	—
792	#217	—	2	1	no	—
793	#217	—	2	1	no	—
794	#217	—	2	1	no	—
795	#217	—	2	1	no	—
796	#216	—	2	2	no	—
797	#215	—	2	2	no	—
798	#215	—	2	2	no	—
799	#215	—	2	2	no	—
800	#213	—	2	2	no	—
801	#213	—	2	2	no	—
802	(C₂×D₃)⋊C₄	—	2	1	no	—
803	(C₂×D₃)⋊C₄	—	2	1	no	—
804	(C₂×D₃)⋊C₄	—	2	1	no	—
805	(C₂×D₃)⋊C₄	—	2	1	no	—
806	(C₂×D₃)⋊C₄	—	2	1	no	—
807	(C₂×D₃)⋊C₄	—	2	1	no	—
808	(C₂×D₃)⋊C₄	—	2	1	no	—
809	(C₂×D₃)⋊C₄	—	2	1	no	—
810	(C₂×D₃)⋊C₄	—	2	1	no	—
811	(C₂×D₃)⋊C₄	—	2	1	no	—
812	(C₂×D₃)⋊C₄	—	2	1	no	—
813	(C₂×D₃)⋊C₄	—	2	1	no	—
814	(C₂×D₃)⋊C₄	—	2	1	no	—
815	(C₂×D₃)⋊C₄	—	2	1	no	—
816	(C₂×D₃)⋊C₄	—	2	1	no	—
817	(C₂×D₃)⋊C₄	—	2	1	no	—
818	(C₂×D₃)⋊C₄	—	2	1	no	—
819	(C₂×D₃)⋊C₄	—	2	1	no	—
820	(C₂×D₃)⋊C₄	—	2	1	no	—
821	(C₂×D₃)⋊C₄	—	2	1	no	—
822	(C₂×D₃)⋊C₄	—	2	1	no	—
823	C₄⋊Dic₃	—	2	1	no	—
824	C₄⋊Dic₃	—	2	1	no	—
825	C₄⋊Dic₃	—	2	1	no	—
826	C₄⋊Dic₃	—	2	1	no	—
827	C₄⋊Dic₃	—	2	1	no	—
828	C₄⋊Dic₃	—	2	1	no	—
829	C₄⋊Dic₃	—	2	1	no	—
830	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
831	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
832	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
833	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
834	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
835	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
836	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
837	Dic₃⋊C₄	—	2	1	no	—
838	Dic₃⋊C₄	—	2	1	no	—
839	Dic₃⋊C₄	—	2	1	no	—
840	Dic₃⋊C₄	—	2	1	no	—
841	Dic₃⋊C₄	—	2	1	no	—
842	Dic₃⋊C₄	—	2	1	no	—
843	Dic₃⋊C₄	—	2	1	no	—
844	Dic₃⋊C₄	—	2	1	no	—
845	Dic₃⋊C₄	—	2	1	no	—
846	Dic₃⋊C₄	—	2	1	no	—
847	Dic₃⋊C₄	—	2	1	no	—
848	Dic₃⋊C₄	—	2	1	no	—
849	Dic₃⋊C₄	—	2	1	no	—
850	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
851	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
852	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
853	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
854	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
855	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
856	C₄×Dic₃	—	2	1	no	—
857	C₄×Dic₃	—	2	1	no	—
858	C₄×Dic₃	—	2	1	no	—
859	C₄×Dic₃	—	2	1	no	—
860	C₄×Dic₃	—	2	1	no	—
861	C₄×Dic₃	—	2	1	no	—
862	C₄×Dic₃	—	2	1	no	—
863	C₄×Dic₃	—	2	1	no	—
864	C₄×Dic₃	—	2	1	no	—
865	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
866	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
867	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
868	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
869	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
870	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
871	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
872	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
873	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
874	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
875	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
876	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
877	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
878	D₂₄	—	2	2	no	—
879	D₂₄	—	2	2	no	—
880	#204	—	2	2	no	—
881	ΓL(1,𝔽₂₅)	—	2	2	no	—
882	ΓL(1,𝔽₂₅)	—	2	2	no	—
883	ΓL(1,𝔽₂₅)	—	2	2	no	—
884	ΓL(1,𝔽₂₅)	—	2	2	no	—
885	C₂×#41	—	3	1	no	—
886	C₂²×Q₈	—	3	1	no	—
887	C₂²×Q₈	—	3	1	no	—
888	C₂²×Q₈	—	6	1	no	—
889	C₂²×D₄	—	3	1	no	—
890	C₂²×D₄	—	3	1	no	—
891	C₂²×D₄	—	6	1	no	—
892	C₂²×D₄	—	6	1	no	—
893	C₂³×C₄	—	6	1	no	—
894	C₂³×C₄	—	6	1	no	—
895	#137	—	6	4	no	—
896	AGL(1,ℤ/8)	—	6	4	no	—
897	AGL(1,ℤ/8)	—	6	4	no	—
898	C₂×Q₁₆	—	3	1	no	—
899	C₂×Q₁₆	C₂²×D₃	1	1	yes	characteristic
900	C₂×SD₁₆	—	3	1	no	—
901	C₂×SD₁₆	—	3	1	no	—
902	C₂×SD₁₆	—	3	1	no	—
903	C₂×SD₁₆	—	3	1	no	—
904	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
905	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
906	C₂×D₈	—	3	1	no	—
907	C₂×D₈	—	3	1	no	—
908	C₂×D₈	—	3	1	no	—
909	C₂×D₈	—	3	1	no	—
910	C₂×M₁₆	—	3	1	no	—
911	C₂×M₁₆	—	3	1	no	—
912	C₂×M₁₆	—	3	1	no	—
913	C₂×M₁₆	—	3	1	no	—
914	C₄⋊Q₈	—	2	1	no	—
915	C₄⋊Q₈	—	3	1	no	—
916	C₄⋊Q₈	—	3	1	no	—
917	C₄⋊Q₈	—	3	1	no	—
918	C₄⋊Q₈	—	3	1	no	—
919	C₄⋊Q₈	—	3	1	no	—
920	C₄⋊Q₈	—	6	1	no	—
921	C₄⋊Q₈	—	6	1	no	—
922	C₄⋊Q₈	—	6	1	no	—
923	C₄⋊Q₈	—	6	1	no	—
924	C₄⋊Q₈	—	6	1	no	—
925	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
926	#127	—	3	1	no	—
927	#127	—	3	1	no	—
928	#127	—	3	1	no	—
929	#127	—	6	1	no	—
930	#127	—	6	1	no	—
931	#127	C₂²×D₃	1	1	yes	characteristic
932	#125	—	2	1	no	—
933	#125	—	2	1	no	—
934	#125	—	3	1	no	—
935	#125	—	3	1	no	—
936	#125	—	3	1	no	—
937	#125	—	3	1	no	—
938	#125	—	6	1	no	—
939	#125	—	6	1	no	—
940	#125	—	6	1	no	—
941	#125	—	6	1	no	—
942	#125	C₂²×D₃	1	1	yes	characteristic
943	#125	C₂²×D₃	1	1	yes	characteristic
944	#124	—	2	1	no	—
945	#124	—	3	1	no	—
946	#124	—	3	1	no	—
947	#124	—	3	1	no	—
948	#124	—	3	1	no	—
949	#124	—	3	1	no	—
950	#124	—	3	1	no	—
951	#124	—	6	1	no	—
952	#124	—	6	1	no	—
953	#124	—	6	1	no	—
954	#124	—	6	1	no	—
955	#124	—	6	1	no	—
956	#124	—	6	1	no	—
957	#124	—	6	1	no	—
958	#124	—	6	1	no	—
959	#124	—	6	1	no	—
960	#124	—	6	1	no	—
961	#124	—	6	1	no	—
962	#124	C₂²×D₃	1	1	yes	characteristic
963	#124	C₂²×D₃	1	1	yes	characteristic
964	#123	—	2	1	no	—
965	#123	—	2	1	no	—
966	#123	—	6	1	no	—
967	#123	—	6	1	no	—
968	#123	—	6	1	no	—
969	#123	—	6	1	no	—
970	#123	—	6	1	no	—
971	#123	—	6	1	no	—
972	#123	—	6	1	no	—
973	#123	—	6	1	no	—
974	#123	—	6	1	no	—
975	#123	—	6	1	no	—
976	#123	—	6	1	no	—
977	#123	—	6	1	no	—
978	#123	—	6	1	no	—
979	#123	—	6	1	no	—
980	C₂²⋊Q₈	—	6	1	no	—
981	C₂²⋊Q₈	—	6	1	no	—
982	C₂²⋊Q₈	—	6	1	no	—
983	C₂²⋊Q₈	—	6	1	no	—
984	C₂²⋊Q₈	—	6	1	no	—
985	C₂²⋊Q₈	—	6	1	no	—
986	C₂²⋊Q₈	—	6	1	no	—
987	C₂²⋊Q₈	—	6	1	no	—
988	C₂²⋊Q₈	—	6	1	no	—
989	C₂²⋊Q₈	—	6	1	no	—
990	C₂²⋊Q₈	—	6	1	no	—
991	C₂²⋊Q₈	—	6	1	no	—
992	C₂²⋊Q₈	—	6	1	no	—
993	C₂²⋊Q₈	—	6	1	no	—
994	C₂²⋊Q₈	—	6	1	no	—
995	C₂²⋊Q₈	—	6	1	no	—
996	C₂²⋊Q₈	—	6	1	no	—
997	C₂²⋊Q₈	—	6	1	no	—
998	C₄×Q₈	—	2	1	no	—
999	C₄×Q₈	—	3	1	no	—
1000	C₄×Q₈	—	3	1	no	—
1001	C₄×Q₈	—	3	1	no	—
1002	C₄×Q₈	—	3	1	no	—
1003	C₄×Q₈	—	3	1	no	—
1004	C₄×Q₈	—	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	—	6	1	no	—
1013	C₄×Q₈	—	6	1	no	—
1014	C₄×Q₈	—	6	1	no	—
1015	C₄×Q₈	—	6	1	no	—
1016	C₄×Q₈	—	6	1	no	—
1017	C₄×Q₈	—	6	1	no	—
1018	C₄×Q₈	—	6	1	no	—
1019	C₄×Q₈	—	6	1	no	—
1020	C₄×Q₈	—	6	1	no	—
1021	C₄×Q₈	—	6	1	no	—
1022	C₄×Q₈	—	6	1	no	—
1023	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1024	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1025	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1026	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1027	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1028	C₄×D₄	—	2	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	—	3	1	no	—
1035	C₄×D₄	—	3	1	no	—
1036	C₄×D₄	—	3	1	no	—
1037	C₄×D₄	—	3	1	no	—
1038	C₄×D₄	—	3	1	no	—
1039	C₄×D₄	—	3	1	no	—
1040	C₄×D₄	—	3	1	no	—
1041	C₄×D₄	—	6	1	no	—
1042	C₄×D₄	—	6	1	no	—
1043	C₄×D₄	—	6	1	no	—
1044	C₄×D₄	—	6	1	no	—
1045	C₄×D₄	—	6	1	no	—
1046	C₄×D₄	—	6	1	no	—
1047	C₄×D₄	—	6	1	no	—
1048	C₄×D₄	—	6	1	no	—
1049	C₄×D₄	—	6	1	no	—
1050	C₄×D₄	—	6	1	no	—
1051	C₄×D₄	—	6	1	no	—
1052	C₄×D₄	—	6	1	no	—
1053	C₄×D₄	—	6	1	no	—
1054	C₄×D₄	—	6	1	no	—
1055	C₄×D₄	—	6	1	no	—
1056	C₄×D₄	—	6	1	no	—
1057	C₄×D₄	—	6	1	no	—
1058	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1059	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1060	#117	—	3	1	no	—
1061	#117	—	3	1	no	—
1062	#117	—	3	1	no	—
1063	#117	—	6	1	no	—
1064	#117	—	6	1	no	—
1065	#117	—	6	1	no	—
1066	C₂×C₄⋊C₄	—	3	1	no	—
1067	C₂×C₄⋊C₄	—	3	1	no	—
1068	C₂×C₄⋊C₄	—	3	1	no	—
1069	C₂×C₄⋊C₄	—	3	1	no	—
1070	C₂×C₄⋊C₄	—	6	1	no	—
1071	C₂×C₄⋊C₄	—	6	1	no	—
1072	C₂×C₄⋊C₄	—	6	1	no	—
1073	C₂×C₄⋊C₄	—	6	1	no	—
1074	C₂×C₂²⋊C₄	—	6	1	no	—
1075	C₂×C₂²⋊C₄	—	6	1	no	—
1076	C₂×C₂²⋊C₄	—	6	1	no	—
1077	C₂×C₂²⋊C₄	—	6	1	no	—
1078	C₂×C₂²⋊C₄	—	6	1	no	—
1079	C₂×C₂²⋊C₄	—	6	1	no	—
1080	C₂×C₄²	—	3	1	no	—
1081	C₂×C₄²	—	3	1	no	—
1082	C₂×C₄²	—	3	1	no	—
1083	C₂×C₄²	—	6	1	no	—
1084	C₂×C₄²	—	6	1	no	—
1085	C₂×C₄²	—	6	1	no	—
1086	C₂×C₄²	—	6	1	no	—
1087	#107	—	3	1	no	—
1088	#107	—	3	1	no	—
1089	#107	—	3	1	no	—
1090	#107	—	3	1	no	—
1091	#107	—	3	1	no	—
1092	#107	C₂²×D₃	1	1	yes	characteristic
1093	#106	—	3	1	no	—
1094	#106	—	3	1	no	—
1095	#106	—	3	1	no	—
1096	#106	—	3	1	no	—
1097	#106	C₂²×D₃	1	1	yes	characteristic
1098	#106	C₂²×D₃	1	1	yes	characteristic
1099	C₄⋊C₈	—	3	1	no	—
1100	C₄⋊C₈	—	3	1	no	—
1101	C₄⋊C₈	—	3	1	no	—
1102	C₄⋊C₈	—	3	1	no	—
1103	C₄⋊C₈	—	3	1	no	—
1104	C₄⋊C₈	—	3	1	no	—
1105	C₄⋊C₈	—	3	1	no	—
1106	C₄⋊C₈	—	3	1	no	—
1107	C₄⋊C₈	—	3	1	no	—
1108	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1109	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1110	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1111	#103	—	3	1	no	—
1112	#103	—	3	1	no	—
1113	#103	—	3	1	no	—
1114	#103	—	3	1	no	—
1115	#103	—	3	1	no	—
1116	#103	—	3	1	no	—
1117	#103	—	3	1	no	—
1118	#103	—	3	1	no	—
1119	#103	—	3	1	no	—
1120	#103	—	3	1	no	—
1121	#103	C₂²×D₃	1	1	yes	characteristic
1122	#103	C₂²×D₃	1	1	yes	characteristic
1123	#103	C₂²×D₃	1	1	yes	characteristic
1124	#103	C₂²×D₃	1	1	yes	characteristic
1125	#102	—	3	1	no	—
1126	#102	—	3	1	no	—
1127	#102	—	3	1	no	—
1128	#102	—	3	1	no	—
1129	#102	—	3	1	no	—
1130	#102	—	3	1	no	—
1131	#102	—	3	1	no	—
1132	#102	—	3	1	no	—
1133	#102	—	3	1	no	—
1134	#102	—	3	1	no	—
1135	#102	—	3	1	no	—
1136	#102	—	3	1	no	—
1137	#102	—	3	1	no	—
1138	#102	—	3	1	no	—
1139	#102	—	3	1	no	—
1140	#102	—	3	1	no	—
1141	#102	—	3	1	no	—
1142	#102	—	3	1	no	—
1143	#102	—	3	1	no	—
1144	#102	—	3	1	no	—
1145	#102	C₂²×D₃	1	1	yes	characteristic
1146	#102	C₂²×D₃	1	1	yes	characteristic
1147	#102	C₂²×D₃	1	1	yes	characteristic
1148	#102	C₂²×D₃	1	1	yes	characteristic
1149	#102	C₂²×D₃	1	1	yes	characteristic
1150	#102	C₂²×D₃	1	1	yes	characteristic
1151	#97	—	3	1	no	—
1152	#97	—	3	1	no	—
1153	#97	—	3	1	no	—
1154	#97	—	3	1	no	—
1155	#97	C₂²×D₃	1	1	yes	characteristic
1156	#97	C₂²×D₃	1	1	yes	characteristic
1157	C₄×C₈	—	3	1	no	—
1158	C₄×C₈	—	3	1	no	—
1159	C₄×C₈	—	3	1	no	—
1160	C₄×C₈	—	3	1	no	—
1161	C₄×C₈	—	3	1	no	—
1162	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1163	C₂³×C₃	—	2	1	no	—
1164	C₂³×C₃	—	2	1	no	—
1165	C₂²×D₃	—	2	1	no	—
1166	C₂²×D₃	—	2	1	no	—
1167	C₂²×D₃	—	2	1	no	—
1168	C₂²×D₃	—	4	2	no	—
1169	C₂²×D₃	—	4	2	no	—
1170	C₂²×D₃	—	4	2	no	—
1171	C₂²×D₃	—	4	2	no	—
1172	C₂²×D₃	—	4	2	no	—
1173	C₂²×D₃	—	4	2	no	—
1174	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1175	C₃×Q₈	—	2	1	no	—
1176	C₃×Q₈	—	2	1	no	—
1177	C₃×Q₈	—	2	1	no	—
1178	C₃×Q₈	—	4	1	no	—
1179	C₃×Q₈	—	4	2	no	—
1180	C₃×Q₈	C₂×#41	1	2	yes	—
1181	C₃×D₄	—	2	1	no	—
1182	C₃×D₄	—	2	1	no	—
1183	C₃×D₄	—	2	1	no	—
1184	C₃×D₄	—	2	1	no	—
1185	C₃×D₄	—	4	2	no	—
1186	C₃×D₄	—	8	1	no	—
1187	C₂×C₃×C₄	—	2	1	no	—
1188	C₂×C₃×C₄	—	2	1	no	—
1189	C₂×C₃×C₄	—	2	1	no	—
1190	C₂×C₃×C₄	—	2	1	no	—
1191	C₂×C₃×C₄	—	2	1	no	—
1192	C₂×C₃×C₄	—	2	1	no	—
1193	C₂×C₃×C₄	—	8	1	no	—
1194	C₂×C₃×C₄	—	8	1	no	—
1195	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1196	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1197	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1198	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1199	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1200	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1201	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1202	#67	—	4	2	no	—
1203	#67	—	4	2	no	—
1204	#67	—	4	2	no	—
1205	#67	—	4	2	no	—
1206	#67	—	8	1	no	—
1207	#67	—	8	1	no	—
1208	C₂×Dic₃	—	2	1	no	—
1209	C₂×Dic₃	—	2	1	no	—
1210	C₂×Dic₃	—	2	1	no	—
1211	C₂×Dic₃	—	2	1	no	—
1212	C₂×Dic₃	—	2	1	no	—
1213	C₂×Dic₃	—	8	1	no	—
1214	C₂×Dic₃	—	8	1	no	—
1215	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1216	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1217	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1218	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1219	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1220	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1221	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1222	D₁₂	—	2	4	no	—
1223	D₁₂	—	2	1	no	—
1224	D₁₂	—	2	1	no	—
1225	D₁₂	—	2	1	no	—
1226	D₁₂	—	2	1	no	—
1227	D₁₂	—	2	1	no	—
1228	D₁₂	—	4	2	no	—
1229	D₁₂	—	8	1	no	—
1230	D₁₂	C₂×#41	1	2	yes	—
1231	C₄×D₃	—	2	4	no	—
1232	C₄×D₃	—	2	2	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	2	no	—
1239	C₄×D₃	—	4	2	no	—
1240	C₄×D₃	—	4	2	no	—
1241	C₄×D₃	—	4	2	no	—
1242	C₄×D₃	—	4	2	no	—
1243	C₄×D₃	—	8	1	no	—
1244	C₄×D₃	—	8	1	no	—
1245	C₄×D₃	—	8	1	no	—
1246	C₄×D₃	—	8	1	no	—
1247	C₄×D₃	—	8	1	no	—
1248	C₄×D₃	—	8	1	no	—
1249	C₄×D₃	—	8	1	no	—
1250	C₄×D₃	C₂×#41	1	2	yes	—
1251	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1252	Dic₆	—	2	2	no	—
1253	Dic₆	—	2	2	no	—
1254	Dic₆	—	2	1	no	—
1255	Dic₆	—	2	1	no	—
1256	Dic₆	—	4	1	no	—
1257	Dic₆	—	4	2	no	—
1258	Dic₆	—	4	2	no	—
1259	Dic₆	—	4	2	no	—
1260	Dic₆	—	8	1	no	—
1261	Dic₆	—	8	1	no	—
1262	Dic₆	—	8	1	no	—
1263	C₃×C₈	—	2	1	no	—
1264	C₃×C₈	—	2	1	no	—
1265	C₃×C₈	—	2	1	no	—
1266	C₃×C₈	—	2	1	no	—
1267	C₃⋊C₈	—	2	1	no	—
1268	C₃⋊C₈	—	2	1	no	—
1269	C₃⋊C₈	—	2	1	no	—
1270	C₃⋊C₈	—	2	1	no	—
1271	C₂⁴	—	6	1	no	—
1272	C₂⁴	—	6	1	no	—
1273	#41	—	3	4	no	—
1274	#41	—	6	2	no	—
1275	C₂×Q₈	—	2	1	no	—
1276	C₂×Q₈	—	3	1	no	—
1277	C₂×Q₈	—	3	1	no	—
1278	C₂×Q₈	—	3	1	no	—
1279	C₂×Q₈	—	3	1	no	—
1280	C₂×Q₈	—	6	1	no	—
1281	C₂×Q₈	—	6	1	no	—
1282	C₂×Q₈	—	6	1	no	—
1283	C₂×Q₈	—	6	1	no	—
1284	C₂×Q₈	—	6	1	no	—
1285	C₂×Q₈	—	6	2	no	—
1286	C₂×Q₈	—	6	2	no	—
1287	C₂×Q₈	—	6	1	no	—
1288	C₂×Q₈	—	12	2	no	—
1289	C₂×Q₈	—	12	4	no	—
1290	C₂×Q₈	D₃×D₄	1	1	yes	characteristic
1291	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1292	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1293	C₂×D₄	—	2	1	no	—
1294	C₂×D₄	—	2	1	no	—
1295	C₂×D₄	—	3	1	no	—
1296	C₂×D₄	—	3	1	no	—
1297	C₂×D₄	—	3	1	no	—
1298	C₂×D₄	—	6	1	no	—
1299	C₂×D₄	—	6	2	no	—
1300	C₂×D₄	—	6	2	no	—
1301	C₂×D₄	—	6	2	no	—
1302	C₂×D₄	—	6	2	no	—
1303	C₂×D₄	—	6	1	no	—
1304	C₂×D₄	—	6	1	no	—
1305	C₂×D₄	—	6	1	no	—
1306	C₂×D₄	—	6	1	no	—
1307	C₂×D₄	—	6	1	no	—
1308	C₂×D₄	—	6	1	no	—
1309	C₂×D₄	—	6	1	no	—
1310	C₂×D₄	—	6	1	no	—
1311	C₂×D₄	—	12	4	no	—
1312	C₂×D₄	—	24	2	no	—
1313	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1314	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	3	1	no	—
1318	C₂²×C₄	—	3	1	no	—
1319	C₂²×C₄	—	3	1	no	—
1320	C₂²×C₄	—	3	1	no	—
1321	C₂²×C₄	—	3	1	no	—
1322	C₂²×C₄	—	3	1	no	—
1323	C₂²×C₄	—	3	1	no	—
1324	C₂²×C₄	—	6	1	no	—
1325	C₂²×C₄	—	6	1	no	—
1326	C₂²×C₄	—	6	1	no	—
1327	C₂²×C₄	—	6	1	no	—
1328	C₂²×C₄	—	6	1	no	—
1329	C₂²×C₄	—	6	1	no	—
1330	C₂²×C₄	—	6	1	no	—
1331	C₂²×C₄	—	6	1	no	—
1332	C₂²×C₄	—	6	1	no	—
1333	C₂²×C₄	—	6	1	no	—
1334	C₂²×C₄	—	6	1	no	—
1335	C₂²×C₄	—	6	1	no	—
1336	C₂²×C₄	—	6	1	no	—
1337	C₂²×C₄	—	6	1	no	—
1338	C₂²×C₄	—	6	1	no	—
1339	C₂²×C₄	—	24	2	no	—
1340	C₂²×C₄	—	24	2	no	—
1341	Q₁₆	—	2	2	no	—
1342	Q₁₆	—	6	2	no	—
1343	SD₁₆	—	2	2	no	—
1344	SD₁₆	—	2	2	no	—
1345	SD₁₆	—	6	2	no	—
1346	SD₁₆	—	6	2	no	—
1347	SD₁₆	—	6	2	no	—
1348	SD₁₆	—	6	2	no	—
1349	D₈	—	6	2	no	—
1350	D₈	—	6	2	no	—
1351	D₈	—	6	2	no	—
1352	D₈	—	6	2	no	—
1353	M₁₆	—	6	2	no	—
1354	M₁₆	—	6	2	no	—
1355	M₁₆	—	6	2	no	—
1356	M₁₆	—	6	2	no	—
1357	C₂×C₈	—	3	1	no	—
1358	C₂×C₈	—	3	1	no	—
1359	C₂×C₈	—	3	1	no	—
1360	C₂×C₈	—	3	1	no	—
1361	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1362	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1363	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1364	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	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	—	6	1	no	—
1388	C₄⋊C₄	—	6	1	no	—
1389	C₄⋊C₄	—	6	1	no	—
1390	C₄⋊C₄	—	6	1	no	—
1391	C₄⋊C₄	—	6	1	no	—
1392	C₄⋊C₄	—	6	1	no	—
1393	C₄⋊C₄	—	6	1	no	—
1394	C₄⋊C₄	—	6	1	no	—
1395	C₄⋊C₄	—	6	1	no	—
1396	C₄⋊C₄	—	6	1	no	—
1397	C₄⋊C₄	—	6	1	no	—
1398	C₄⋊C₄	—	6	1	no	—
1399	C₄⋊C₄	—	6	1	no	—
1400	C₄⋊C₄	—	6	1	no	—
1401	C₄⋊C₄	—	6	1	no	—
1402	C₄⋊C₄	—	6	1	no	—
1403	C₄⋊C₄	—	6	1	no	—
1404	C₄⋊C₄	—	6	1	no	—
1405	C₄⋊C₄	—	6	1	no	—
1406	C₄⋊C₄	—	6	1	no	—
1407	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1408	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1409	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1410	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1411	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1412	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1413	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	6	1	no	—
1421	C₂²⋊C₄	—	6	1	no	—
1422	C₂²⋊C₄	—	6	1	no	—
1423	C₂²⋊C₄	—	6	1	no	—
1424	C₂²⋊C₄	—	6	1	no	—
1425	C₂²⋊C₄	—	6	1	no	—
1426	C₂²⋊C₄	—	6	1	no	—
1427	C₂²⋊C₄	—	6	1	no	—
1428	C₂²⋊C₄	—	6	1	no	—
1429	C₂²⋊C₄	—	6	1	no	—
1430	C₂²⋊C₄	—	6	1	no	—
1431	C₂²⋊C₄	—	6	1	no	—
1432	C₂²⋊C₄	—	6	1	no	—
1433	C₂²⋊C₄	—	6	1	no	—
1434	C₂²⋊C₄	—	6	1	no	—
1435	C₂²⋊C₄	—	6	1	no	—
1436	C₂²⋊C₄	—	6	1	no	—
1437	C₂²⋊C₄	—	6	1	no	—
1438	C₂²⋊C₄	—	6	1	no	—
1439	C₂²⋊C₄	—	6	1	no	—
1440	C₂²⋊C₄	—	6	1	no	—
1441	C₂²⋊C₄	—	6	1	no	—
1442	C₂²⋊C₄	—	6	1	no	—
1443	C₂²⋊C₄	—	6	1	no	—
1444	C₂²⋊C₄	—	6	1	no	—
1445	C₂²⋊C₄	—	6	1	no	—
1446	C₂²⋊C₄	—	6	1	no	—
1447	C₄²	—	2	1	no	—
1448	C₄²	—	2	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	3	1	no	—
1452	C₄²	—	3	1	no	—
1453	C₄²	—	3	1	no	—
1454	C₄²	—	3	1	no	—
1455	C₄²	—	3	1	no	—
1456	C₄²	—	3	1	no	—
1457	C₄²	—	3	1	no	—
1458	C₄²	—	3	1	no	—
1459	C₄²	—	3	1	no	—
1460	C₄²	—	6	1	no	—
1461	C₄²	—	6	1	no	—
1462	C₄²	—	6	1	no	—
1463	C₄²	—	6	1	no	—
1464	C₄²	—	6	1	no	—
1465	C₄²	—	6	1	no	—
1466	C₄²	—	6	1	no	—
1467	C₄²	—	6	1	no	—
1468	C₄²	—	6	1	no	—
1469	C₄²	C₂³×D₃	1	1	yes	characteristic
1470	C₄²	C₂³×D₃	1	1	yes	characteristic
1471	C₄²	C₂³×D₃	1	1	yes	characteristic
1472	C₂²×C₃	—	4	1	no	—
1473	C₂²×C₃	—	4	1	no	—
1474	C₂²×C₃	—	4	1	no	—
1475	C₂²×C₃	—	4	1	no	—
1476	C₂²×C₃	—	4	1	no	—
1477	C₂²×C₃	—	4	1	no	—
1478	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1479	C₂×D₃	—	2	1	no	—
1480	C₂×D₃	—	2	1	no	—
1481	C₂×D₃	—	2	2	no	—
1482	C₂×D₃	—	4	1	no	—
1483	C₂×D₃	—	4	1	no	—
1484	C₂×D₃	—	4	1	no	—
1485	C₂×D₃	—	4	1	no	—
1486	C₂×D₃	—	4	1	no	—
1487	C₂×D₃	—	4	1	no	—
1488	C₂×D₃	—	4	1	no	—
1489	C₂×D₃	—	4	1	no	—
1490	C₂×D₃	—	8	4	no	—
1491	C₂×D₃	—	8	4	no	—
1492	C₂×D₃	#548	1	2	yes	—
1493	C₃×C₄	—	2	1	no	—
1494	C₃×C₄	—	2	1	no	—
1495	C₃×C₄	—	2	1	no	—
1496	C₃×C₄	—	2	2	no	—
1497	C₃×C₄	—	2	1	no	—
1498	C₃×C₄	—	2	1	no	—
1499	C₃×C₄	—	2	1	no	—
1500	C₃×C₄	—	4	1	no	—
1501	C₃×C₄	—	4	1	no	—
1502	C₃×C₄	—	4	1	no	—
1503	C₃×C₄	—	4	1	no	—
1504	C₃×C₄	—	4	1	no	—
1505	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1506	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1507	Dic₃	—	2	1	no	—
1508	Dic₃	—	2	1	no	—
1509	Dic₃	—	2	1	no	—
1510	Dic₃	—	2	1	no	—
1511	Dic₃	—	2	1	no	—
1512	Dic₃	—	4	1	no	—
1513	Dic₃	—	4	1	no	—
1514	Dic₃	—	4	1	no	—
1515	Dic₃	—	4	1	no	—
1516	Dic₃	—	4	1	no	—
1517	Dic₃	#548	1	2	yes	—
1518	Dic₃	#575	1	2	yes	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	2	1	no	—
1521	C₂³	—	3	1	no	—
1522	C₂³	—	6	1	no	—
1523	C₂³	—	6	1	no	—
1524	C₂³	—	6	1	no	—
1525	C₂³	—	12	2	no	—
1526	C₂³	—	12	2	no	—
1527	C₂³	—	12	2	no	—
1528	C₂³	—	12	2	no	—
1529	C₂³	—	12	2	no	—
1530	C₂³	—	12	2	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	4	1	no	—
1535	Q₈	—	4	2	no	—
1536	Q₈	—	6	2	no	—
1537	Q₈	—	6	2	no	—
1538	Q₈	—	6	1	no	—
1539	Q₈	—	6	1	no	—
1540	Q₈	—	12	1	no	—
1541	Q₈	—	12	2	no	—
1542	Q₈	—	12	2	no	—
1543	Q₈	—	12	2	no	—
1544	Q₈	—	24	1	no	—
1545	Q₈	—	24	1	no	—
1546	Q₈	—	24	1	no	—
1547	Q₈	D₃×#41	1	2	yes	—
1548	D₄	—	2	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	3	2	no	—
1553	D₄	—	4	2	no	—
1554	D₄	—	6	4	no	—
1555	D₄	—	6	1	no	—
1556	D₄	—	6	1	no	—
1557	D₄	—	6	1	no	—
1558	D₄	—	6	1	no	—
1559	D₄	—	6	1	no	—
1560	D₄	—	8	1	no	—
1561	D₄	—	12	2	no	—
1562	D₄	—	12	2	no	—
1563	D₄	—	12	2	no	—
1564	D₄	—	12	2	no	—
1565	D₄	—	12	2	no	—
1566	D₄	—	24	1	no	—
1567	D₄	—	24	1	no	—
1568	D₄	—	24	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	3	1	no	—
1576	C₂×C₄	—	3	1	no	—
1577	C₂×C₄	—	3	2	no	—
1578	C₂×C₄	—	3	2	no	—
1579	C₂×C₄	—	3	1	no	—
1580	C₂×C₄	—	3	1	no	—
1581	C₂×C₄	—	3	1	no	—
1582	C₂×C₄	—	3	1	no	—
1583	C₂×C₄	—	3	1	no	—
1584	C₂×C₄	—	6	2	no	—
1585	C₂×C₄	—	6	4	no	—
1586	C₂×C₄	—	6	1	no	—
1587	C₂×C₄	—	6	1	no	—
1588	C₂×C₄	—	6	1	no	—
1589	C₂×C₄	—	6	1	no	—
1590	C₂×C₄	—	6	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	8	1	no	—
1593	C₂×C₄	—	12	1	no	—
1594	C₂×C₄	—	12	1	no	—
1595	C₂×C₄	—	12	1	no	—
1596	C₂×C₄	—	12	1	no	—
1597	C₂×C₄	—	12	1	no	—
1598	C₂×C₄	—	12	2	no	—
1599	C₂×C₄	—	12	2	no	—
1600	C₂×C₄	—	12	2	no	—
1601	C₂×C₄	—	12	2	no	—
1602	C₂×C₄	—	12	2	no	—
1603	C₂×C₄	—	24	1	no	—
1604	C₂×C₄	—	24	1	no	—
1605	C₂×C₄	—	24	1	no	—
1606	C₂×C₄	—	24	1	no	—
1607	C₂×C₄	—	24	1	no	—
1608	C₂×C₄	—	24	1	no	—
1609	C₂×C₄	—	24	1	no	—
1610	C₂×C₄	—	24	1	no	—
1611	C₂×C₄	—	24	1	no	—
1612	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1613	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1614	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1615	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1616	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1617	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1618	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₈	—	2	1	no	—
1623	C₈	—	6	1	no	—
1624	C₈	—	6	1	no	—
1625	C₈	—	6	1	no	—
1626	C₈	—	6	1	no	—
1627	C₂×C₃	—	8	1	no	—
1628	C₂×C₃	—	8	1	no	—
1629	C₂×C₃	C₂×#548	1	1	yes	characteristic
1630	C₂×C₃	C₂×#575	1	1	yes	characteristic
1631	C₂×C₃	#3585	1	1	yes	characteristic
1632	D₃	—	2	2	no	—
1633	D₃	—	4	2	no	—
1634	D₃	—	8	1	no	—
1635	D₃	—	8	1	no	—
1636	C₂²	—	3	2	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	6	1	no	—
1644	C₂²	—	6	1	no	—
1645	C₂²	—	6	2	no	—
1646	C₂²	—	12	1	no	—
1647	C₂²	—	12	1	no	—
1648	C₂²	—	12	1	no	—
1649	C₂²	—	12	1	no	—
1650	C₂²	—	12	1	no	—
1651	C₂²	—	12	1	no	—
1652	C₂²	—	12	1	no	—
1653	C₂²	—	12	1	no	—
1654	C₂²	—	24	4	no	—
1655	C₂²	—	24	4	no	—
1656	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1657	C₄	—	2	1	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	2	no	—
1664	C₄	—	3	2	no	—
1665	C₄	—	3	2	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	6	1	no	—
1672	C₄	—	6	1	no	—
1673	C₄	—	6	1	no	—
1674	C₄	—	6	1	no	—
1675	C₄	—	6	1	no	—
1676	C₄	—	12	1	no	—
1677	C₄	—	12	1	no	—
1678	C₄	—	12	1	no	—
1679	C₄	—	12	1	no	—
1680	C₄	—	12	1	no	—
1681	C₄	C₂×D₃×#41	1	1	yes	characteristic
1682	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1683	C₃	#61324	1	1	yes	characteristic, complemented, Sylow
1684	C₂	—	6	2	no	—
1685	C₂	—	8	1	no	—
1686	C₂	—	8	1	no	—
1687	C₂	—	12	2	no	—
1688	C₂	—	24	1	no	—
1689	C₂	—	24	1	no	—
1690	C₂	D₃×#548	1	1	yes	characteristic
1691	C₂	D₃×#575	1	1	yes	characteristic
1692	C₂	#87207	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₃×D₄
commutator, cosocle	C₂×C₃×C₄	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₃
Fitting	C₃×#3371	C₂
socle	C₂²×C₃	C₂³×D₄
prime radical	#80384	C₂
hypercenter	#3371	D₃
hypocenter	C₃	#61324
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3371

Complements

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

N	H ≅ G/N	type
1. D₃×#559	C₂	semidirect
2. #87015	C₂	semidirect
3. C₃×#3371	C₂	semidirect
4. #83714	C₂	semidirect
5. #83691	C₂	semidirect
6. #81715	C₂	semidirect
7. #81710	C₂	semidirect
8. #81682	C₂	semidirect
9. #81674	C₂	semidirect
10. #81640	C₂	semidirect
11. #81633	C₂	semidirect
12. #81230	C₂	semidirect
13. #81217	C₂	semidirect
14. #81166	C₂	semidirect
15. #81150	C₂	semidirect
16. #81060	C₂	semidirect
17. #81052	C₂	semidirect
18. #80599	C₂	semidirect
19. #80599	C₂	semidirect
20. #80585	C₂	semidirect
21. #80581	C₂	semidirect
23. #80373	C₂	semidirect
24. #79971	C₂	semidirect
25. #79962	C₂	semidirect
26. #79829	C₂	semidirect
27. #79816	C₂	semidirect
28. #79773	C₂	semidirect
29. #79756	C₂	semidirect
30. C₄×#914	C₂	semidirect
31. #79624	C₂	semidirect
34. C₃×#557	C₂²	semidirect
41. #5727	C₂²	semidirect
46. #5690	C₂²	semidirect
47. #5690	C₂²	semidirect
65. #5579	C₂²	semidirect
72. #5569	C₂²	semidirect
73. #5569	C₂²	semidirect
74. Q₈×Dic₆	C₂²	semidirect
82. C₃×#489	C₂²	semidirect
83. C₃×#488	C₂²	semidirect
84. C₃×#479	C₂²	semidirect
85. C₃×#478	C₂²	semidirect
86. C₃×#476	C₂²	semidirect
87. C₃×#464	C₂²	semidirect
88. C₃×#464	C₂²	semidirect
90. C₃×#446	C₂²	semidirect
91. C₃×#441	C₂²	semidirect
92. C₃×#440	C₂²	semidirect
93. C₃×C₄×SD₁₆	C₂²	semidirect
94. #5185	C₂²	semidirect
95. #5185	C₂²	semidirect
96. Dic₃×Q₁₆	C₂²	semidirect
97. #5166	C₂²	semidirect
98. #5166	C₂²	semidirect
99. #5164	C₂²	semidirect
102. Dic₃×SD₁₆	C₂²	semidirect
103. #5089	C₂²	semidirect
104. #5084	C₂²	semidirect
107. #5068	C₂²	semidirect
109. #5066	C₂²	semidirect
110. #5063	C₂²	semidirect
111. #5057	C₂²	semidirect
112. #5057	C₂²	semidirect
113. #5056	C₂²	semidirect
114. #5055	C₂²	semidirect
115. #5030	C₂²	semidirect
116. #5028	C₂²	semidirect
117. #5028	C₂²	semidirect
119. #5026	C₂²	semidirect
120. #5026	C₂²	semidirect
121. C₄×#215	C₂²	semidirect
122. #5024	C₂²	semidirect
123. #5022	C₂²	semidirect
124. #5014	C₂²	semidirect
125. C₄×#213	C₂²	semidirect
126. #5009	C₂²	semidirect
127. #5007	C₂²	semidirect
128. #4890	C₂²	semidirect
130. #4875	C₂²	semidirect
131. #4872	C₂²	semidirect
132. #4871	C₂²	semidirect
133. #4871	C₂²	semidirect
134. #4870	C₂²	semidirect
135. #4869	C₂²	semidirect
138. #4854	C₂²	semidirect
139. #4852	C₂²	semidirect
140. #4847	C₂²	semidirect
141. #4846	C₂²	semidirect
142. #4844	C₂²	semidirect
143. #4844	C₂²	semidirect
148. #4830	C₂²	semidirect
149. #4829	C₂²	semidirect
150. #4828	C₂²	semidirect
151. #4828	C₂²	semidirect
152. #4819	C₂²	semidirect
153. #4819	C₂²	semidirect
154. #4817	C₂²	semidirect
159. #4800	C₂²	semidirect
160. #4800	C₂²	semidirect
161. #4794	C₂²	semidirect
162. #4794	C₂²	semidirect
163. #4793	C₂²	semidirect
164. #4791	C₂²	semidirect
165. #4790	C₂²	semidirect
166. #4788	C₂²	semidirect
167. #4788	C₂²	semidirect
168. #4787	C₂²	semidirect
169. #4787	C₂²	semidirect
172. #4785	C₂²	semidirect
179. #4768	C₂²	semidirect
180. #4768	C₂²	semidirect
181. #4766	C₂²	semidirect
182. #4766	C₂²	semidirect
183. #4765	C₂²	semidirect
184. #4765	C₂²	semidirect
185. #4761	C₂²	semidirect
190. #4759	C₂²	semidirect
191. #4756	C₂²	semidirect
192. #4714	C₂²	semidirect
194. #4711	C₂²	semidirect
195. #4710	C₂²	semidirect
198. #4701	C₂²	semidirect
199. #4701	C₂²	semidirect
200. #4697	C₂²	semidirect
201. C₄×D₂₄	C₂²	semidirect
203. C₈×Dic₆	C₂²	semidirect
213. #3371	D₃	semidirect
531. #557	C₂×D₃	semidirect
572. #489	C₂×D₃	semidirect
580. #488	C₂×D₃	semidirect
588. #479	C₂×D₃	semidirect
596. #478	C₂×D₃	semidirect
602. #476	C₂×D₃	semidirect
615. #464	C₂×D₃	semidirect
616. #464	C₂×D₃	semidirect
638. #446	C₂×D₃	semidirect
646. #441	C₂×D₃	semidirect
652. #440	C₂×D₃	semidirect
660. C₄×SD₁₆	C₂×D₃	semidirect
1683. C₃	#61324	semidirect

Maximal subgroups

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

subgroup	index
D₃×#559	2
#87015	2
C₃×#3371	2
#83714	2
#83691	2
#81715	2
#81710	2
#81682	2
#81674	2
#81640	2
#81633	2
#81230	2
#81217	2
#81166	2
#81150	2
#81060	2
#81052	2
#80599	2
#80585	2
#80581	2
#80384	2
#80373	2
#79971	2
#79962	2
#79829	2
#79816	2
#79773	2
#79756	2
C₄×#914	2
#79624	2
#61324	3