Subgroups — #11677603

Order 768.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#85906	C₂	1	1	yes	maximal, characteristic, complemented
2	#85905	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2952	C₂	1	1	yes	maximal, characteristic, complemented
4	#83919	C₂	1	1	yes	maximal, characteristic, complemented
5	#83919	C₂	1	1	yes	maximal, characteristic, complemented
6	#82575	C₂	1	1	yes	maximal, characteristic, complemented
7	#82568	C₂	1	1	yes	maximal, characteristic, complemented
8	#79886	C₂	1	1	yes	maximal, characteristic, complemented
9	#79882	C₂	1	1	yes	maximal, characteristic, complemented
10	#79871	C₂	1	1	yes	maximal, characteristic, complemented
11	#79854	C₂	1	1	yes	maximal, characteristic, complemented
12	#79841	C₂	1	1	yes	maximal, characteristic, complemented
13	#79835	C₂	1	1	yes	maximal, characteristic, complemented
14	#79834	C₂	1	1	yes	maximal, characteristic, complemented
15	#79816	C₂	1	1	yes	maximal, characteristic, complemented
16	#79689	C₂	1	1	yes	maximal, characteristic, complemented
17	SD₁₆×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
18	#79666	C₂	1	1	yes	maximal, characteristic, complemented
19	#79663	C₂	1	1	yes	maximal, characteristic, complemented
20	#79649	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×D₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
22	#79638	C₂	1	1	yes	maximal, characteristic, complemented
23	#79633	C₂	1	1	yes	maximal, characteristic, complemented
24	#79125	C₂	1	1	yes	maximal, characteristic, complemented
25	#79124	C₂	1	1	yes	maximal, characteristic, complemented
26	#78904	C₂	1	1	yes	maximal, characteristic, complemented
27	#78903	C₂	1	1	yes	maximal, characteristic, complemented
28	#78898	C₂	1	1	yes	maximal, characteristic, complemented
29	#78896	C₂	1	1	yes	maximal, characteristic, complemented
30	#78567	C₂	1	1	yes	maximal, characteristic, complemented
31	#78556	C₂	1	1	yes	maximal, characteristic, complemented
32	#61472	—	3	1	no	maximal, Sylow
33	C₂×C₃×#135	C₂²	1	1	yes	characteristic
34	C₃×#520	C₂²	1	1	yes	characteristic
35	C₃×#520	C₂²	1	1	yes	characteristic, complemented
36	#5831	C₂²	1	1	yes	characteristic, complemented
37	#5831	C₂²	1	1	yes	characteristic, complemented
38	#5829	C₂²	1	1	yes	characteristic
39	#5829	C₂²	1	1	yes	characteristic
40	C₂×D₃×SD₁₆	C₂²	1	1	yes	characteristic
41	C₂×D₃×SD₁₆	C₂²	1	1	yes	characteristic
42	#5585	C₂²	1	1	yes	characteristic
43	#5582	C₂²	1	1	yes	characteristic
44	#5581	C₂²	1	1	yes	characteristic
45	#5580	C₂²	1	1	yes	characteristic
46	Q₈×D₁₂	C₂²	1	1	yes	characteristic
47	#5572	C₂²	1	1	yes	characteristic, complemented
48	C₄×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
49	#5569	C₂²	1	1	yes	characteristic, complemented
50	#5561	—	2	1	no	—
51	#5561	C₂²	1	1	yes	characteristic, complemented
52	#5560	—	2	1	no	—
53	#5558	—	2	1	no	—
54	#5558	C₂²	1	1	yes	characteristic
55	#5557	—	2	1	no	—
56	#5557	C₂²	1	1	yes	characteristic, complemented
57	#5550	—	2	1	no	—
58	D₄×D₁₂	C₂²	1	1	yes	characteristic
59	#5547	—	2	1	no	—
60	#5545	C₂²	1	1	yes	characteristic
61	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
62	#5542	—	2	1	no	—
63	#5542	C₂²	1	1	yes	characteristic, complemented
64	#5540	—	2	1	no	—
65	#5539	C₂²	1	1	yes	characteristic
66	#5535	C₂²	1	1	yes	characteristic
67	#5528	—	2	1	no	—
68	#5528	C₂²	1	1	yes	characteristic
69	#5527	—	2	1	no	—
70	#5527	—	2	1	no	—
71	#5518	—	2	1	no	—
72	#5518	C₂²	1	1	yes	characteristic, complemented
73	#5515	—	2	1	no	—
74	#5514	C₂²	1	1	yes	characteristic
75	#5513	—	2	1	no	—
76	#5513	C₂²	1	1	yes	characteristic, complemented
77	#5511	—	2	1	no	—
78	#5511	C₂²	1	1	yes	characteristic, complemented
79	#5507	C₂²	1	1	yes	characteristic
80	C₂×#894	—	2	1	no	—
81	C₃×#442	C₂²	1	1	yes	characteristic
82	C₃×#442	C₂²	1	1	yes	characteristic
83	C₃×#441	C₂²	1	1	yes	characteristic, complemented
84	C₃×#441	C₂²	1	1	yes	characteristic, complemented
85	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
86	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
87	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
88	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₃×#106	C₂²	1	1	yes	characteristic, complemented
90	C₃×#417	C₂²	1	1	yes	characteristic
91	C₃×#417	C₂²	1	1	yes	characteristic, complemented
92	C₃×#405	C₂²	1	1	yes	characteristic, complemented
93	#5239	C₂²	1	1	yes	characteristic
94	#5239	C₂²	1	1	yes	characteristic
95	#5238	C₂²	1	1	yes	characteristic, complemented
96	#5238	C₂²	1	1	yes	characteristic, complemented
97	#5186	C₂²	1	1	yes	characteristic, complemented
98	#5186	C₂²	1	1	yes	characteristic, complemented
99	#5185	C₂²	1	1	yes	characteristic, complemented
100	#5185	C₂²	1	1	yes	characteristic, complemented
101	#5171	C₂²	1	1	yes	characteristic, complemented
102	#5171	C₂²	1	1	yes	characteristic, complemented
103	#5168	C₂²	1	1	yes	characteristic, complemented
104	#5168	C₂²	1	1	yes	characteristic, complemented
105	Dic₃×SD₁₆	C₂²	1	1	yes	characteristic
106	Dic₃×SD₁₆	C₂²	1	1	yes	characteristic
107	#5156	C₂²	1	1	yes	characteristic
108	#5156	C₂²	1	1	yes	characteristic
109	#5153	C₂²	1	1	yes	characteristic
110	#5153	C₂²	1	1	yes	characteristic
111	#5134	C₂²	1	1	yes	characteristic, complemented
112	#5134	C₂²	1	1	yes	characteristic, complemented
113	#5128	C₂²	1	1	yes	characteristic, complemented
114	#5127	C₂²	1	1	yes	characteristic, complemented
115	#5114	C₂²	1	1	yes	characteristic, complemented
116	#5114	C₂²	1	1	yes	characteristic, complemented
117	C₈×#67	C₂²	1	1	yes	characteristic, complemented
118	C₈×#67	C₂²	1	1	yes	characteristic, complemented
119	#5031	C₂²	1	1	yes	characteristic, complemented
120	#5030	C₂²	1	1	yes	characteristic, complemented
121	C₄×#216	C₂²	1	1	yes	characteristic, complemented
122	#5027	C₂²	1	1	yes	characteristic
123	#5026	C₂²	1	1	yes	characteristic, complemented
124	C₄×#215	C₂²	1	1	yes	characteristic, complemented
125	#5022	C₂²	1	1	yes	characteristic, complemented
126	#5022	C₂²	1	1	yes	characteristic, complemented
127	#5019	C₂²	1	1	yes	characteristic
128	#5018	C₂²	1	1	yes	characteristic
129	C₄×#214	C₂²	1	1	yes	characteristic
130	#5015	C₂²	1	1	yes	characteristic
131	#5014	C₂²	1	1	yes	characteristic, complemented
132	C₄×#213	C₂²	1	1	yes	characteristic, complemented
133	#5009	C₂²	1	1	yes	characteristic
134	#5009	C₂²	1	1	yes	characteristic, complemented
135	#5000	C₂²	1	1	yes	characteristic, complemented
136	#4971	C₂²	1	1	yes	characteristic, complemented
137	#4970	C₂²	1	1	yes	characteristic, complemented
138	#4968	C₂²	1	1	yes	characteristic, complemented
139	#4967	C₂²	1	1	yes	characteristic, complemented
140	#4871	C₂²	1	1	yes	characteristic, complemented
141	#4870	C₂²	1	1	yes	characteristic, complemented
142	#4868	C₂²	1	1	yes	characteristic, complemented
143	#4866	C₂²	1	1	yes	characteristic
144	#4864	C₂²	1	1	yes	characteristic
145	#4864	C₂²	1	1	yes	characteristic
146	#4863	C₂²	1	1	yes	characteristic
147	#4862	C₂²	1	1	yes	characteristic, complemented
148	#4860	C₂²	1	1	yes	characteristic, complemented
149	D₃×#106	C₂²	1	1	yes	characteristic, complemented
150	#4858	C₂²	1	1	yes	characteristic, complemented
151	#4857	C₂²	1	1	yes	characteristic, complemented
152	#4855	C₂²	1	1	yes	characteristic, complemented
153	#4854	C₂²	1	1	yes	characteristic, complemented
154	#4852	C₂²	1	1	yes	characteristic, complemented
155	#4852	C₂²	1	1	yes	characteristic, complemented
156	#4817	C₂²	1	1	yes	characteristic, complemented
157	#4816	C₂²	1	1	yes	characteristic, complemented
158	#4814	C₂²	1	1	yes	characteristic, complemented
159	#4813	C₂²	1	1	yes	characteristic, complemented
160	#4811	C₂²	1	1	yes	characteristic, complemented
161	#4806	C₂²	1	1	yes	characteristic
162	#4806	C₂²	1	1	yes	characteristic
163	#4802	C₂²	1	1	yes	characteristic, complemented
164	D₃×#103	C₂²	1	1	yes	characteristic, complemented
165	#4800	C₂²	1	1	yes	characteristic, complemented
166	#4798	C₂²	1	1	yes	characteristic, complemented
167	#4798	C₂²	1	1	yes	characteristic, complemented
168	#4796	C₂²	1	1	yes	characteristic, complemented
169	#4794	C₂²	1	1	yes	characteristic, complemented
170	#4793	C₂²	1	1	yes	characteristic, complemented
171	#4788	C₂²	1	1	yes	characteristic, complemented
172	#4787	C₂²	1	1	yes	characteristic, complemented
173	#4787	C₂²	1	1	yes	characteristic, complemented
174	#4784	C₂²	1	1	yes	characteristic, complemented
175	#4782	C₂²	1	1	yes	characteristic
176	#4776	C₂²	1	1	yes	characteristic
177	#4776	C₂²	1	1	yes	characteristic
178	#4775	C₂²	1	1	yes	characteristic
179	#4774	C₂²	1	1	yes	characteristic, complemented
180	#4770	C₂²	1	1	yes	characteristic
181	D₃×#102	C₂²	1	1	yes	characteristic
182	#4768	C₂²	1	1	yes	characteristic, complemented
183	#4766	C₂²	1	1	yes	characteristic
184	#4765	C₂²	1	1	yes	characteristic, complemented
185	#4759	C₂²	1	1	yes	characteristic
186	#4758	C₂²	1	1	yes	characteristic
187	#4757	C₂²	1	1	yes	characteristic
188	#4713	C₂²	1	1	yes	characteristic
189	#4710	C₂²	1	1	yes	characteristic, complemented
190	#4710	C₂²	1	1	yes	characteristic, complemented
191	#4709	C₂²	1	1	yes	characteristic, complemented
192	#4706	C₂²	1	1	yes	characteristic
193	#4705	C₂²	1	1	yes	characteristic, complemented
194	#4703	C₂²	1	1	yes	characteristic, complemented
195	#4701	C₂²	1	1	yes	characteristic, complemented
196	#4693	C₂²	1	1	yes	characteristic
197	C₄×#204	C₂²	1	1	yes	characteristic, complemented
198	C₄×#204	C₂²	1	1	yes	characteristic, complemented
199	#4689	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₁₂	C₂²	1	1	yes	characteristic
201	C₄×D₃×C₈	C₂²	1	1	yes	characteristic, complemented
202	#4683	C₂²	1	1	yes	characteristic, complemented
203	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
204	#3516	—	3	1	no	—
205	#3513	—	3	1	no	—
206	#3394	—	3	1	no	—
207	#3381	—	3	1	no	—
208	#3376	—	3	1	no	—
209	#3371	—	3	1	no	—
210	#3337	—	3	1	no	—
211	#3337	—	3	1	no	—
212	#3335	—	3	1	no	—
213	#3326	—	3	1	no	—
214	#3323	—	3	1	no	—
215	#3318	—	3	1	no	—
216	#3314	—	3	1	no	—
217	#3312	—	3	1	no	—
218	#3308	—	3	1	no	—
219	#3282	—	3	1	no	—
220	#3282	—	3	1	no	—
221	D₄×SD₁₆	—	3	1	no	—
222	#3174	—	3	1	no	—
223	#3173	—	3	1	no	—
224	#3168	—	3	1	no	—
225	#3121	—	3	1	no	—
226	#3120	—	3	1	no	—
227	#3119	—	3	1	no	—
228	#3118	—	3	1	no	—
229	#3117	—	3	1	no	—
230	#3114	—	3	1	no	—
231	#2966	—	3	1	no	—
232	#2952	D₃	1	1	yes	characteristic, complemented
233	#2949	—	3	1	no	—
234	C₂×C₄×SD₁₆	—	3	1	no	—
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	C₂×C₃×#41	C₂³	1	1	yes	characteristic
237	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
238	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
239	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
240	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
241	C₂×#235	—	2	1	no	—
242	C₂²×D₁₂	—	2	1	no	—
243	C₂²×C₄×D₃	—	2	1	no	—
244	C₃×#135	—	2	4	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	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
249	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
251	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
252	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
253	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
254	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
255	C₃×C₄×D₄	—	2	1	no	—
256	C₃×C₄×D₄	—	2	1	no	—
257	C₃×C₄×D₄	—	2	1	no	—
258	C₃×C₄×D₄	—	2	1	no	—
259	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
260	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
262	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
263	C₃×#117	—	2	1	no	—
264	C₃×#117	—	2	1	no	—
265	C₃×#117	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	—	2	1	no	—
267	C₂×C₃×C₄⋊C₄	—	2	1	no	—
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	#947	C₂³	1	1	yes	characteristic
271	#947	C₂³	1	1	yes	characteristic
272	#946	C₂³	1	1	yes	characteristic
273	#946	C₂³	1	1	yes	characteristic
274	Q₈×Dic₃	C₂³	1	1	yes	characteristic
275	Q₈×Dic₃	C₂³	1	1	yes	characteristic
276	C₂×#216	C₂³	1	1	yes	characteristic
277	C₂×#216	C₂³	1	1	yes	characteristic
278	C₂×#215	C₂³	1	1	yes	characteristic
279	C₂×#215	C₂³	1	1	yes	characteristic
280	#939	—	2	1	no	—
281	#939	—	2	1	no	—
282	#938	—	2	1	no	—
283	#938	—	2	1	no	—
284	#938	C₂³	1	1	yes	characteristic
285	#938	C₂³	1	1	yes	characteristic
286	#937	—	2	1	no	—
287	#937	—	2	1	no	—
288	#936	—	2	1	no	—
289	#936	—	2	1	no	—
290	#936	C₂³	1	1	yes	characteristic
291	#936	C₂³	1	1	yes	characteristic
292	D₄×Dic₃	C₂³	1	1	yes	characteristic
293	D₄×Dic₃	C₂³	1	1	yes	characteristic
294	C₂×#214	C₂³	1	1	yes	characteristic
295	C₂×#214	C₂³	1	1	yes	characteristic
296	C₂×#213	C₂³	1	1	yes	characteristic
297	C₂×#213	C₂³	1	1	yes	characteristic
298	#930	—	2	1	no	—
299	#930	—	2	1	no	—
300	#930	C₂³	1	1	yes	characteristic
301	#930	C₂³	1	1	yes	characteristic
302	#929	—	2	1	no	—
303	#929	—	2	1	no	—
304	#929	—	2	1	no	—
305	#929	—	2	1	no	—
306	#929	—	2	1	no	—
307	#929	—	2	1	no	—
308	C₄×#67	—	2	1	no	—
309	C₄×#67	—	2	1	no	—
310	C₄×#67	—	2	1	no	—
311	C₄×#67	—	2	1	no	—
312	C₄×#67	—	2	1	no	—
313	C₄×#67	—	2	1	no	—
314	C₄×#67	—	2	1	no	—
315	C₄×#67	—	2	1	no	—
316	C₄×#67	C₂³	1	1	yes	characteristic
317	C₄×#67	C₂³	1	1	yes	characteristic
318	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
319	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
320	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
321	#926	—	2	1	no	—
322	#926	—	2	1	no	—
323	#926	—	2	1	no	—
324	#924	—	2	1	no	—
325	#924	—	2	1	no	—
326	#924	—	2	1	no	—
327	#924	—	2	1	no	—
328	#924	—	2	1	no	—
329	#924	—	2	1	no	—
330	#924	C₂³	1	1	yes	characteristic
331	#924	C₂³	1	1	yes	characteristic
332	C₂×Dic₃⋊C₄	—	2	1	no	—
333	D₃×SD₁₆	—	2	4	no	—
334	D₃×SD₁₆	—	2	4	no	—
335	C₂×#204	C₂³	1	1	yes	characteristic
336	C₂×#204	C₂³	1	1	yes	characteristic
337	C₂×#204	C₂³	1	1	yes	characteristic
338	C₂×#204	C₂³	1	1	yes	characteristic
339	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
340	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
341	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
342	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
343	#898	—	2	1	no	—
344	#898	—	2	1	no	—
345	#898	—	2	1	no	—
346	#898	D₄	1	1	yes	characteristic
347	#897	—	2	1	no	—
348	#897	—	2	1	no	—
349	#897	C₂³	1	1	yes	characteristic
350	#897	C₂³	1	1	yes	characteristic
351	#896	—	2	1	no	—
352	#896	—	2	1	no	—
353	#896	—	2	1	no	—
354	#896	D₄	1	1	yes	characteristic
355	#895	C₂³	1	1	yes	characteristic
356	#895	C₂³	1	1	yes	characteristic
357	#894	—	2	1	no	—
358	#894	—	2	1	no	—
359	#894	—	2	1	no	—
360	#894	—	2	1	no	—
361	#894	—	2	1	no	—
362	#894	—	2	1	no	—
363	#894	—	2	1	no	—
364	#894	—	2	1	no	—
365	#894	—	2	1	no	—
366	#894	D₄	1	1	yes	characteristic
367	#893	C₂³	1	1	yes	characteristic
368	#893	C₂³	1	1	yes	characteristic
369	#892	—	2	1	no	—
370	#892	C₂³	1	1	yes	characteristic
371	#892	C₂³	1	1	yes	characteristic
372	D₃×C₄⋊C₄	—	2	1	no	—
373	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
374	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
375	#890	—	2	1	no	—
376	#890	C₂³	1	1	yes	characteristic
377	#890	C₂³	1	1	yes	characteristic
378	#889	—	2	1	no	—
379	#889	—	2	1	no	—
380	#889	—	2	1	no	—
381	#889	—	2	1	no	—
382	#889	—	2	1	no	—
383	#889	D₄	1	1	yes	characteristic
384	#888	—	2	1	no	—
385	#888	C₂³	1	1	yes	characteristic
386	#888	C₂³	1	1	yes	characteristic
387	#887	—	2	1	no	—
388	#887	—	2	1	no	—
389	#887	C₂³	1	1	yes	characteristic
390	#887	C₂³	1	1	yes	characteristic
391	#885	—	2	1	no	—
392	#885	D₄	1	1	yes	characteristic
393	#884	—	2	1	no	—
394	#884	—	2	1	no	—
395	#884	—	2	1	no	—
396	#884	D₄	1	1	yes	characteristic
397	#883	—	2	1	no	—
398	#883	D₄	1	1	yes	characteristic
399	#882	—	2	1	no	—
400	#882	—	2	1	no	—
401	#67⋊C₄	—	2	1	no	—
402	#67⋊C₄	—	2	1	no	—
403	D₃×C₂²⋊C₄	—	2	1	no	—
404	D₃×C₂²⋊C₄	—	2	1	no	—
405	#879	—	2	1	no	—
406	#879	—	2	1	no	—
407	#879	—	2	1	no	—
408	#879	—	2	1	no	—
409	#879	—	2	1	no	—
410	#879	—	2	1	no	—
411	#879	—	2	1	no	—
412	#879	D₄	1	1	yes	characteristic
413	#878	—	2	1	no	—
414	#878	—	2	1	no	—
415	#876	—	2	1	no	—
416	#876	—	2	1	no	—
417	#875	—	2	1	no	—
418	#875	—	2	1	no	—
419	#874	C₂³	1	1	yes	characteristic
420	C₄×D₁₂	—	2	1	no	—
421	C₄×D₁₂	—	2	1	no	—
422	C₄×D₁₂	—	2	1	no	—
423	C₄×D₁₂	C₂³	1	1	yes	characteristic
424	C₄×D₁₂	C₂³	1	1	yes	characteristic
425	C₄×D₁₂	C₂³	1	1	yes	characteristic
426	#872	—	2	1	no	—
427	#872	—	2	1	no	—
428	#872	—	2	1	no	—
429	#872	C₂³	1	1	yes	characteristic
430	C₄²×D₃	—	2	1	no	—
431	C₄²×D₃	C₂³	1	1	yes	characteristic
432	#870	—	2	1	no	—
433	#870	C₂³	1	1	yes	characteristic
434	#870	C₂³	1	1	yes	characteristic
435	#869	—	2	1	no	—
436	#869	C₂³	1	1	yes	characteristic
437	C₄×Dic₆	—	2	1	no	—
438	C₄×Dic₆	—	2	1	no	—
439	C₄×Dic₆	—	2	1	no	—
440	C₄×Dic₆	C₂³	1	1	yes	characteristic
441	C₄×Dic₆	C₂³	1	1	yes	characteristic
442	C₄×Dic₆	C₂³	1	1	yes	characteristic
443	C₃×#106	C₂³	1	1	yes	characteristic
444	C₃×#106	C₂³	1	1	yes	characteristic
445	C₃×#106	C₂³	1	1	yes	characteristic
446	C₃×#106	C₂³	1	1	yes	characteristic
447	C₃×#103	C₂³	1	1	yes	characteristic
448	C₃×#103	C₂³	1	1	yes	characteristic
449	C₃×#103	C₂³	1	1	yes	characteristic
450	C₃×#103	C₂³	1	1	yes	characteristic
451	C₃×#102	C₂³	1	1	yes	characteristic
452	C₃×#102	C₂³	1	1	yes	characteristic
453	C₃×#102	C₂³	1	1	yes	characteristic
454	C₃×#102	C₂³	1	1	yes	characteristic
455	C₃×#97	C₂³	1	1	yes	characteristic
456	C₃×#97	C₂³	1	1	yes	characteristic
457	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
458	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
459	#835	C₂³	1	1	yes	characteristic
460	#835	C₂³	1	1	yes	characteristic
461	#835	C₂³	1	1	yes	characteristic
462	#835	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	#832	C₂³	1	1	yes	characteristic
467	#830	C₂³	1	1	yes	characteristic
468	#830	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	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
474	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
475	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
476	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
477	#818	C₂³	1	1	yes	characteristic
478	#818	C₂³	1	1	yes	characteristic
479	#817	C₂³	1	1	yes	characteristic
480	#817	C₂³	1	1	yes	characteristic
481	#816	C₂³	1	1	yes	characteristic
482	#816	C₂³	1	1	yes	characteristic
483	#816	C₂³	1	1	yes	characteristic
484	#816	C₂³	1	1	yes	characteristic
485	#815	C₂³	1	1	yes	characteristic
486	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
487	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
488	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
489	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
490	C₈×Dic₃	C₂³	1	1	yes	characteristic
491	C₈×Dic₃	C₂³	1	1	yes	characteristic
492	C₈×Dic₃	C₂³	1	1	yes	characteristic
493	#810	C₂³	1	1	yes	characteristic
494	#810	C₂³	1	1	yes	characteristic
495	#810	C₂³	1	1	yes	characteristic
496	#810	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	#808	C₂³	1	1	yes	characteristic
505	#807	C₂³	1	1	yes	characteristic
506	#807	C₂³	1	1	yes	characteristic
507	#807	C₂³	1	1	yes	characteristic
508	#807	C₂³	1	1	yes	characteristic
509	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
510	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
511	#803	C₂³	1	1	yes	characteristic
512	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
513	C₂×#135	C₂×D₃	1	1	yes	characteristic
514	C₂²×SD₁₆	—	3	1	no	—
515	C₂²×SD₁₆	—	3	1	no	—
516	#559	—	3	1	no	—
517	#557	—	3	1	no	—
518	#556	—	3	1	no	—
519	#556	—	6	1	no	—
520	#554	—	3	1	no	—
521	#554	—	3	1	no	—
522	#554	—	6	1	no	—
523	#553	—	3	1	no	—
524	#553	—	3	1	no	—
525	#553	—	6	1	no	—
526	#553	—	6	1	no	—
527	#552	—	3	1	no	—
528	#552	—	3	1	no	—
529	#552	—	6	1	no	—
530	#551	—	6	1	no	—
531	#551	—	6	1	no	—
532	D₄×Q₈	—	3	1	no	—
533	#548	—	3	1	no	—
534	#548	—	3	1	no	—
535	#547	—	3	1	no	—
536	#546	—	3	1	no	—
537	#546	—	3	1	no	—
538	#546	—	6	1	no	—
539	D₄²	—	3	1	no	—
540	#542	—	3	1	no	—
541	#542	—	3	1	no	—
542	#542	—	6	1	no	—
543	#541	—	3	1	no	—
544	#541	—	6	1	no	—
545	#540	—	3	1	no	—
546	#539	—	6	1	no	—
547	#538	—	6	1	no	—
548	#529	—	3	1	no	—
549	#529	—	3	1	no	—
550	#529	—	3	1	no	—
551	#529	—	6	1	no	—
552	#529	—	6	1	no	—
553	#525	—	6	1	no	—
554	C₂×#123	—	6	1	no	—
555	#520	C₂×D₃	1	1	yes	characteristic
556	#520	C₂×D₃	1	1	yes	characteristic, complemented
557	#519	—	3	1	no	—
558	#518	—	3	1	no	—
559	C₂×C₄×Q₈	—	3	1	no	—
560	C₂×C₄×D₄	—	3	1	no	—
561	#499	—	3	1	no	—
562	#499	—	3	1	no	—
563	#498	—	3	1	no	—
564	#495	—	3	1	no	—
565	#495	—	3	1	no	—
566	#492	—	3	1	no	—
567	#491	—	3	1	no	—
568	#490	—	3	1	no	—
569	#489	—	3	1	no	—
570	#489	—	3	1	no	—
571	#488	—	3	1	no	—
572	#488	—	3	1	no	—
573	#485	—	3	1	no	—
574	#485	—	3	1	no	—
575	#484	—	3	1	no	—
576	#484	—	3	1	no	—
577	#483	—	3	1	no	—
578	#483	—	3	1	no	—
579	#482	—	3	1	no	—
580	#482	—	3	1	no	—
581	#481	—	3	1	no	—
582	#481	—	3	1	no	—
583	#480	—	3	1	no	—
584	#480	—	3	1	no	—
585	#479	—	3	1	no	—
586	#479	—	3	1	no	—
587	#479	—	3	1	no	—
588	#479	—	3	1	no	—
589	#478	—	3	1	no	—
590	#478	—	3	1	no	—
591	#478	—	3	1	no	—
592	#478	—	3	1	no	—
593	#477	—	3	1	no	—
594	#476	—	3	1	no	—
595	#475	—	3	1	no	—
596	#474	—	3	1	no	—
597	#470	—	3	1	no	—
598	#469	—	3	1	no	—
599	#468	—	3	1	no	—
600	#468	—	3	1	no	—
601	#467	—	3	1	no	—
602	#466	—	3	1	no	—
603	#465	—	3	1	no	—
604	#465	—	3	1	no	—
605	#465	—	3	1	no	—
606	#465	—	3	1	no	—
607	#465	—	3	1	no	—
608	#465	—	3	1	no	—
609	#464	—	3	1	no	—
610	#464	—	3	1	no	—
611	#464	—	3	1	no	—
612	#464	—	3	1	no	—
613	#463	—	3	1	no	—
614	#463	—	3	1	no	—
615	#463	—	3	1	no	—
616	#463	—	3	1	no	—
617	#462	—	3	1	no	—
618	#461	—	3	1	no	—
619	#460	—	3	1	no	—
620	#459	—	3	1	no	—
621	#452	—	3	1	no	—
622	#452	—	3	1	no	—
623	#451	—	3	1	no	—
624	#451	—	3	1	no	—
625	#450	—	3	1	no	—
626	#450	—	3	1	no	—
627	#449	—	3	1	no	—
628	#449	—	3	1	no	—
629	#448	—	3	1	no	—
630	#448	—	3	1	no	—
631	#447	—	3	1	no	—
632	#447	—	3	1	no	—
633	#446	—	3	1	no	—
634	C₈×Q₈	—	3	1	no	—
635	#442	—	3	1	no	—
636	#442	C₂×D₃	1	1	yes	characteristic
637	#442	C₂×D₃	1	1	yes	characteristic
638	#441	—	3	1	no	—
639	#441	C₂×D₃	1	1	yes	characteristic, complemented
640	#441	C₂×D₃	1	1	yes	characteristic, complemented
641	#440	—	3	1	no	—
642	#440	—	3	1	no	—
643	#440	—	3	1	no	—
644	#440	—	3	1	no	—
645	#440	—	3	1	no	—
646	#440	—	3	1	no	—
647	C₄×Q₁₆	—	3	1	no	—
648	C₄×SD₁₆	—	3	1	no	—
649	C₄×SD₁₆	—	3	1	no	—
650	C₄×SD₁₆	—	3	1	no	—
651	C₄×SD₁₆	—	3	1	no	—
652	C₄×SD₁₆	—	3	1	no	—
653	C₄×SD₁₆	—	3	1	no	—
654	C₄×SD₁₆	—	3	1	no	—
655	C₄×SD₁₆	—	3	1	no	—
656	C₄×SD₁₆	—	3	1	no	—
657	C₄×SD₁₆	—	3	1	no	—
658	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic
659	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic
660	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic, complemented
661	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic, complemented
662	C₄×D₈	—	3	1	no	—
663	#436	—	3	1	no	—
664	#435	—	3	1	no	—
665	#435	—	3	1	no	—
666	C₈×D₄	—	3	1	no	—
667	C₈×D₄	—	3	1	no	—
668	C₈×D₄	—	3	1	no	—
669	#433	—	3	1	no	—
670	#433	—	3	1	no	—
671	#432	—	3	1	no	—
672	#427	—	3	1	no	—
673	C₂×#106	—	3	1	no	—
674	C₂×#106	C₂×D₃	1	1	yes	characteristic, complemented
675	#419	—	3	1	no	—
676	#418	—	3	1	no	—
677	#417	C₂×D₃	1	1	yes	characteristic
678	#417	C₂×D₃	1	1	yes	characteristic, complemented
679	C₂×#103	—	3	1	no	—
680	C₂×#102	—	3	1	no	—
681	#405	—	3	1	no	—
682	#405	C₂×D₃	1	1	yes	characteristic, complemented
683	C₂×C₄×C₈	—	3	1	no	—
684	C₂³×D₃	—	2	1	no	—
685	C₂³×D₃	—	2	1	no	—
686	C₃×#41	—	2	2	no	—
687	C₃×#41	—	2	2	no	—
688	C₃×#41	—	4	1	no	—
689	C₃×#41	—	4	1	no	—
690	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
691	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₃×D₄	—	2	1	no	—
693	C₂×C₃×D₄	—	2	1	no	—
694	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
695	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
696	C₂²×C₃×C₄	—	2	1	no	—
697	C₂²×C₃×C₄	—	2	1	no	—
698	C₂²×C₃×C₄	—	2	1	no	—
699	C₂²×C₃×C₄	—	2	1	no	—
700	C₂²×C₃×C₄	—	2	1	no	—
701	C₂²×C₃×C₄	—	2	1	no	—
702	C₂²×C₃×C₄	—	2	1	no	—
703	C₂²×C₃×C₄	—	2	1	no	—
704	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
705	C₂×#67	—	2	1	no	—
706	C₂×#67	—	2	1	no	—
707	C₂×#67	—	2	1	no	—
708	C₂×#67	—	2	1	no	—
709	C₂×#67	—	2	1	no	—
710	C₂×#67	—	2	1	no	—
711	C₂×#67	C₂×D₄	1	1	yes	characteristic
712	C₂×#67	C₂×D₄	1	1	yes	characteristic
713	C₂²×Dic₃	—	2	1	no	—
714	C₂²×Dic₃	—	2	1	no	—
715	D₃×Q₈	—	2	2	no	—
716	D₃×Q₈	—	2	2	no	—
717	D₃×Q₈	—	4	1	no	—
718	D₃×Q₈	—	4	1	no	—
719	D₃×D₄	—	2	2	no	—
720	D₃×D₄	—	2	2	no	—
721	D₃×D₄	—	4	1	no	—
722	D₃×D₄	—	4	1	no	—
723	#235	—	8	2	no	—
724	C₂×D₁₂	—	2	1	no	—
725	C₂×D₁₂	—	2	1	no	—
726	C₂×D₁₂	—	2	1	no	—
727	C₂×D₁₂	—	2	1	no	—
728	C₂×D₁₂	—	8	2	no	—
729	C₂×D₁₂	C₂×D₄	1	1	yes	characteristic
730	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
731	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
736	C₂×C₄×D₃	—	2	1	no	—
737	C₂×C₄×D₃	—	2	1	no	—
738	C₂×C₄×D₃	—	2	1	no	—
739	C₂×C₄×D₃	—	2	1	no	—
740	C₂×C₄×D₃	—	8	2	no	—
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×C₄×D₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
750	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
751	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
752	C₃×Q₁₆	—	2	2	no	—
753	C₃×SD₁₆	—	2	2	no	—
754	C₃×SD₁₆	#41	1	4	yes	complemented
755	C₃×D₈	—	2	2	no	—
756	C₃×M₁₆	—	4	1	no	—
757	C₂×C₃×C₈	—	2	2	no	—
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	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
769	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
770	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
771	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
772	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
773	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
774	C₃×C₂²⋊C₄	—	2	1	no	—
775	C₃×C₂²⋊C₄	—	2	1	no	—
776	C₃×C₂²⋊C₄	—	2	1	no	—
777	C₃×C₂²⋊C₄	—	2	1	no	—
778	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
779	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
780	C₃×C₄²	—	2	1	no	—
781	C₃×C₄²	—	2	1	no	—
782	C₃×C₄²	—	2	1	no	—
783	C₃×C₄²	—	2	1	no	—
784	C₃×C₄²	C₂⁴	1	1	yes	characteristic
785	C₃×C₄²	C₂⁴	1	1	yes	characteristic
786	#217	—	2	1	no	—
787	#217	—	2	1	no	—
788	#217	—	2	1	no	—
789	#217	—	2	1	no	—
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	#217	C₂×D₄	1	1	yes	characteristic
797	#217	C₂×D₄	1	1	yes	characteristic
798	#216	—	4	1	no	—
799	#216	—	4	1	no	—
800	#215	—	2	2	no	—
801	#215	—	2	2	no	—
802	#214	—	2	2	no	—
803	#214	—	2	2	no	—
804	#213	—	4	1	no	—
805	#213	—	4	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	(C₂×D₃)⋊C₄	—	2	1	no	—
824	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
825	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
826	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
827	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
828	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
829	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
830	C₄⋊Dic₃	—	2	1	no	—
831	C₄⋊Dic₃	—	2	1	no	—
832	C₄⋊Dic₃	—	2	1	no	—
833	C₄⋊Dic₃	—	2	1	no	—
834	C₄⋊Dic₃	—	2	1	no	—
835	C₄⋊Dic₃	—	2	1	no	—
836	C₄⋊Dic₃	—	2	1	no	—
837	C₄⋊Dic₃	—	2	1	no	—
838	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
839	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
840	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
841	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
842	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
843	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
851	Dic₃⋊C₄	—	2	1	no	—
852	Dic₃⋊C₄	—	2	1	no	—
853	Dic₃⋊C₄	—	2	1	no	—
854	Dic₃⋊C₄	—	2	1	no	—
855	Dic₃⋊C₄	—	2	1	no	—
856	Dic₃⋊C₄	—	2	1	no	—
857	Dic₃⋊C₄	—	2	1	no	—
858	Dic₃⋊C₄	—	2	1	no	—
859	Dic₃⋊C₄	—	2	1	no	—
860	Dic₃⋊C₄	—	2	1	no	—
861	Dic₃⋊C₄	—	2	1	no	—
862	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
863	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
864	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
865	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
866	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
867	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
868	C₄×Dic₃	—	2	1	no	—
869	C₄×Dic₃	—	2	1	no	—
870	C₄×Dic₃	—	2	1	no	—
871	C₄×Dic₃	—	2	1	no	—
872	C₄×Dic₃	—	2	1	no	—
873	C₄×Dic₃	—	2	1	no	—
874	C₄×Dic₃	—	2	1	no	—
875	C₄×Dic₃	—	2	1	no	—
876	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
877	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
878	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
879	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
880	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
881	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
882	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
883	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
884	#204	—	2	2	no	—
885	#204	—	2	2	no	—
886	#204	—	4	1	no	—
887	#204	—	4	1	no	—
888	ΓL(1,𝔽₂₅)	—	4	1	no	—
889	D₃×C₈	—	2	2	no	—
890	D₃×C₈	—	2	2	no	—
891	D₃×C₈	—	4	1	no	—
892	C₂×#41	—	6	1	no	—
893	C₂×#41	C₂²×D₃	1	1	yes	characteristic
894	C₂×#41	C₂²×D₃	1	1	yes	characteristic
895	C₂²×Q₈	—	3	1	no	—
896	C₂²×Q₈	—	3	1	no	—
897	C₂²×D₄	—	3	1	no	—
898	C₂²×D₄	—	3	1	no	—
899	C₂²×D₄	—	6	1	no	—
900	C₂³×C₄	—	6	1	no	—
901	#135	—	2	4	no	—
902	C₂×Q₁₆	—	3	1	no	—
903	C₂×Q₁₆	—	3	1	no	—
904	C₂×Q₁₆	C₂²×D₃	1	1	yes	characteristic
905	C₂×SD₁₆	—	3	1	no	—
906	C₂×SD₁₆	—	3	1	no	—
907	C₂×SD₁₆	—	3	1	no	—
908	C₂×SD₁₆	—	3	1	no	—
909	C₂×SD₁₆	—	3	1	no	—
910	C₂×SD₁₆	—	3	1	no	—
911	C₂×SD₁₆	—	3	1	no	—
912	C₂×SD₁₆	—	3	1	no	—
913	C₂×SD₁₆	—	6	4	no	—
914	C₂×SD₁₆	—	6	4	no	—
915	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
916	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
917	C₂×D₈	—	3	1	no	—
918	C₂×D₈	—	3	1	no	—
919	C₂×D₈	C₂²×D₃	1	1	yes	characteristic
920	C₂×M₁₆	—	3	1	no	—
921	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
922	C₂²×C₈	—	3	1	no	—
923	C₂²×C₈	—	3	1	no	—
924	C₂²×C₈	—	3	1	no	—
925	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
926	C₄⋊Q₈	—	3	1	no	—
927	C₄⋊Q₈	—	3	1	no	—
928	C₄⋊Q₈	—	3	1	no	—
929	C₄⋊Q₈	—	6	1	no	—
930	C₄⋊Q₈	—	6	1	no	—
931	#127	—	3	1	no	—
932	#126	—	3	1	no	—
933	#126	—	3	1	no	—
934	#126	—	6	1	no	—
935	#126	—	6	1	no	—
936	#126	—	6	1	no	—
937	#126	—	6	1	no	—
938	#126	—	6	1	no	—
939	#126	—	6	1	no	—
940	#126	—	6	1	no	—
941	#126	—	6	1	no	—
942	#126	—	6	1	no	—
943	#126	—	6	1	no	—
944	#126	—	6	1	no	—
945	#126	—	6	1	no	—
946	#125	—	3	1	no	—
947	#125	—	3	1	no	—
948	#125	—	3	1	no	—
949	#125	—	3	1	no	—
950	#125	—	3	1	no	—
951	#125	—	6	1	no	—
952	#125	—	6	1	no	—
953	#125	—	6	1	no	—
954	#125	—	6	1	no	—
955	#125	—	6	1	no	—
956	#125	—	6	1	no	—
957	#125	—	6	1	no	—
958	#124	—	3	1	no	—
959	#124	—	3	1	no	—
960	#124	—	3	1	no	—
961	#124	—	3	1	no	—
962	#124	—	3	1	no	—
963	#124	—	6	1	no	—
964	#124	—	6	1	no	—
965	#124	—	6	1	no	—
966	#124	—	6	1	no	—
967	#124	—	6	1	no	—
968	#123	—	3	1	no	—
969	#123	—	3	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	#123	—	6	1	no	—
981	#123	—	6	1	no	—
982	#123	—	6	1	no	—
983	#123	—	6	1	no	—
984	#123	—	6	1	no	—
985	#123	—	6	1	no	—
986	C₂²⋊Q₈	—	3	1	no	—
987	C₂²⋊Q₈	—	3	1	no	—
988	C₂²⋊Q₈	—	3	1	no	—
989	C₂²⋊Q₈	—	3	1	no	—
990	C₂²⋊Q₈	—	3	1	no	—
991	C₂²⋊Q₈	—	3	1	no	—
992	C₂²⋊Q₈	—	3	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	C₂²⋊Q₈	—	6	1	no	—
999	C₂²⋊Q₈	—	6	1	no	—
1000	C₂²⋊Q₈	—	6	1	no	—
1001	C₂²⋊Q₈	—	6	1	no	—
1002	C₂²⋊Q₈	—	6	1	no	—
1003	C₂²⋊Q₈	—	6	1	no	—
1004	C₂²⋊Q₈	—	6	1	no	—
1005	C₂²⋊Q₈	—	6	1	no	—
1006	#121	—	3	1	no	—
1007	#121	—	3	1	no	—
1008	#121	—	3	1	no	—
1009	#121	—	3	1	no	—
1010	#121	—	3	1	no	—
1011	#121	—	3	1	no	—
1012	#121	—	3	1	no	—
1013	#121	—	6	1	no	—
1014	#121	—	6	1	no	—
1015	#121	—	6	1	no	—
1016	#121	—	6	1	no	—
1017	#121	—	6	1	no	—
1018	#121	—	6	1	no	—
1019	#121	—	6	1	no	—
1020	#121	—	6	1	no	—
1021	#121	—	6	1	no	—
1022	#120	—	6	1	no	—
1023	#120	—	6	1	no	—
1024	#120	—	6	1	no	—
1025	#120	—	6	1	no	—
1026	C₄×Q₈	—	3	1	no	—
1027	C₄×Q₈	—	3	1	no	—
1028	C₄×Q₈	—	3	1	no	—
1029	C₄×Q₈	—	3	1	no	—
1030	C₄×Q₈	—	3	1	no	—
1031	C₄×Q₈	—	3	1	no	—
1032	C₄×Q₈	—	3	1	no	—
1033	C₄×Q₈	—	6	1	no	—
1034	C₄×Q₈	—	6	1	no	—
1035	C₄×Q₈	—	6	1	no	—
1036	C₄×Q₈	—	6	1	no	—
1037	C₄×Q₈	—	6	1	no	—
1038	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1039	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1040	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1041	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1042	C₄×D₄	—	2	1	no	—
1043	C₄×D₄	—	2	1	no	—
1044	C₄×D₄	—	2	1	no	—
1045	C₄×D₄	—	2	1	no	—
1046	C₄×D₄	—	3	1	no	—
1047	C₄×D₄	—	3	1	no	—
1048	C₄×D₄	—	3	1	no	—
1049	C₄×D₄	—	3	1	no	—
1050	C₄×D₄	—	3	1	no	—
1051	C₄×D₄	—	3	1	no	—
1052	C₄×D₄	—	3	1	no	—
1053	C₄×D₄	—	3	1	no	—
1054	C₄×D₄	—	3	1	no	—
1055	C₄×D₄	—	6	1	no	—
1056	C₄×D₄	—	6	1	no	—
1057	C₄×D₄	—	6	1	no	—
1058	C₄×D₄	—	6	1	no	—
1059	C₄×D₄	—	6	1	no	—
1060	C₄×D₄	—	6	1	no	—
1061	C₄×D₄	—	6	1	no	—
1062	C₄×D₄	—	6	1	no	—
1063	C₄×D₄	—	6	1	no	—
1064	C₄×D₄	—	6	1	no	—
1065	C₄×D₄	—	6	1	no	—
1066	C₄×D₄	—	6	1	no	—
1067	C₄×D₄	—	6	1	no	—
1068	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1069	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1070	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1071	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1072	#117	—	2	1	no	—
1073	#117	—	2	1	no	—
1074	#117	—	3	1	no	—
1075	#117	—	3	1	no	—
1076	#117	—	3	1	no	—
1077	#117	—	6	1	no	—
1078	#117	—	6	1	no	—
1079	#117	—	6	1	no	—
1080	#117	—	6	1	no	—
1081	#117	—	6	1	no	—
1082	#117	—	6	1	no	—
1083	#117	—	6	1	no	—
1084	#117	C₂²×D₃	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	—	2	1	no	—
1086	C₂×C₄⋊C₄	—	2	1	no	—
1087	C₂×C₄⋊C₄	—	3	1	no	—
1088	C₂×C₄⋊C₄	—	3	1	no	—
1089	C₂×C₄⋊C₄	—	6	1	no	—
1090	C₂×C₄⋊C₄	—	6	1	no	—
1091	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	—	6	1	no	—
1094	C₂×C₂²⋊C₄	—	6	1	no	—
1095	C₂×C₂²⋊C₄	—	6	1	no	—
1096	C₂×C₂²⋊C₄	—	6	1	no	—
1097	C₂×C₂²⋊C₄	—	6	1	no	—
1098	C₂×C₄²	—	3	1	no	—
1099	C₂×C₄²	—	6	1	no	—
1100	#107	—	3	1	no	—
1101	#107	—	3	1	no	—
1102	#107	—	3	1	no	—
1103	#107	—	3	1	no	—
1104	#107	—	3	1	no	—
1105	#107	—	3	1	no	—
1106	#106	—	3	1	no	—
1107	#106	—	3	1	no	—
1108	#106	—	3	1	no	—
1109	#106	—	3	1	no	—
1110	#106	—	3	1	no	—
1111	#106	—	3	1	no	—
1112	#106	C₂²×D₃	1	1	yes	characteristic
1113	#106	C₂²×D₃	1	1	yes	characteristic
1114	#106	C₂²×D₃	1	1	yes	characteristic
1115	#106	C₂²×D₃	1	1	yes	characteristic
1116	C₄⋊C₈	—	3	1	no	—
1117	C₄⋊C₈	—	3	1	no	—
1118	C₄⋊C₈	—	3	1	no	—
1119	C₄⋊C₈	—	3	1	no	—
1120	C₄⋊C₈	—	3	1	no	—
1121	C₄⋊C₈	—	3	1	no	—
1122	#103	—	3	1	no	—
1123	#103	—	3	1	no	—
1124	#103	—	3	1	no	—
1125	#103	—	3	1	no	—
1126	#103	—	3	1	no	—
1127	#103	—	3	1	no	—
1128	#103	—	3	1	no	—
1129	#103	—	3	1	no	—
1130	#103	—	3	1	no	—
1131	#103	—	3	1	no	—
1132	#103	—	3	1	no	—
1133	#103	—	3	1	no	—
1134	#103	C₂²×D₃	1	1	yes	characteristic
1135	#103	C₂²×D₃	1	1	yes	characteristic
1136	#103	C₂²×D₃	1	1	yes	characteristic
1137	#103	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1146	#102	—	3	1	no	—
1147	#102	—	3	1	no	—
1148	#102	—	3	1	no	—
1149	#102	—	3	1	no	—
1150	#102	C₂²×D₃	1	1	yes	characteristic
1151	#102	C₂²×D₃	1	1	yes	characteristic
1152	#102	C₂²×D₃	1	1	yes	characteristic
1153	#102	C₂²×D₃	1	1	yes	characteristic
1154	C₂²⋊C₈	—	3	1	no	—
1155	C₂²⋊C₈	—	3	1	no	—
1156	C₂²⋊C₈	—	3	1	no	—
1157	C₂²⋊C₈	—	3	1	no	—
1158	C₂²⋊C₈	—	3	1	no	—
1159	C₂²⋊C₈	—	3	1	no	—
1160	#97	—	3	1	no	—
1161	#97	—	3	1	no	—
1162	#97	C₂²×D₃	1	1	yes	characteristic
1163	#97	C₂²×D₃	1	1	yes	characteristic
1164	C₄×C₈	—	3	1	no	—
1165	C₄×C₈	—	3	1	no	—
1166	C₄×C₈	—	3	1	no	—
1167	C₄×C₈	—	3	1	no	—
1168	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1169	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1170	C₂³×C₃	—	2	1	no	—
1171	C₂³×C₃	—	2	1	no	—
1172	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1173	C₂²×D₃	—	2	1	no	—
1174	C₂²×D₃	—	2	1	no	—
1175	C₂²×D₃	—	4	2	no	—
1176	C₂²×D₃	—	4	2	no	—
1177	C₂²×D₃	—	4	2	no	—
1178	C₂²×D₃	—	8	1	no	—
1179	C₂²×D₃	—	8	1	no	—
1180	C₂²×D₃	—	8	1	no	—
1181	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1182	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1183	C₃×Q₈	—	2	1	no	—
1184	C₃×Q₈	—	2	1	no	—
1185	C₃×Q₈	—	2	1	no	—
1186	C₃×Q₈	C₂×#41	1	2	yes	—
1187	C₃×D₄	—	2	1	no	—
1188	C₃×D₄	—	2	1	no	—
1189	C₃×D₄	—	2	1	no	—
1190	C₃×D₄	—	4	2	no	—
1191	C₃×D₄	—	4	2	no	—
1192	C₃×D₄	C₂×#41	1	2	yes	—
1193	C₂×C₃×C₄	—	2	1	no	—
1194	C₂×C₃×C₄	—	2	1	no	—
1195	C₂×C₃×C₄	—	2	1	no	—
1196	C₂×C₃×C₄	—	2	1	no	—
1197	C₂×C₃×C₄	—	2	1	no	—
1198	C₂×C₃×C₄	—	2	1	no	—
1199	C₂×C₃×C₄	—	2	1	no	—
1200	C₂×C₃×C₄	—	2	1	no	—
1201	C₂×C₃×C₄	—	4	2	no	—
1202	C₂×C₃×C₄	—	4	2	no	—
1203	C₂×C₃×C₄	—	8	1	no	—
1204	C₂×C₃×C₄	—	8	1	no	—
1205	C₂×C₃×C₄	—	8	1	no	—
1206	C₂×C₃×C₄	—	8	1	no	—
1207	C₂×C₃×C₄	—	8	1	no	—
1208	C₂×C₃×C₄	—	8	1	no	—
1209	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1210	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1211	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1212	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1213	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1214	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1215	#67	—	2	2	no	—
1216	#67	—	4	1	no	—
1217	#67	—	4	2	no	—
1218	#67	—	4	2	no	—
1219	#67	—	4	2	no	—
1220	#67	—	8	1	no	—
1221	#67	—	8	1	no	—
1222	#67	—	8	1	no	—
1223	C₂×Dic₃	—	2	1	no	—
1224	C₂×Dic₃	—	2	1	no	—
1225	C₂×Dic₃	—	2	1	no	—
1226	C₂×Dic₃	—	2	1	no	—
1227	C₂×Dic₃	—	2	1	no	—
1228	C₂×Dic₃	—	2	1	no	—
1229	C₂×Dic₃	—	8	1	no	—
1230	C₂×Dic₃	—	8	1	no	—
1231	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1232	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1233	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1234	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1235	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1236	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1237	D₁₂	—	2	2	no	—
1238	D₁₂	—	2	1	no	—
1239	D₁₂	—	2	1	no	—
1240	D₁₂	—	2	1	no	—
1241	D₁₂	—	2	1	no	—
1242	D₁₂	—	4	2	no	—
1243	D₁₂	—	8	1	no	—
1244	D₁₂	—	8	1	no	—
1245	D₁₂	—	8	1	no	—
1246	C₄×D₃	—	2	2	no	—
1247	C₄×D₃	—	2	1	no	—
1248	C₄×D₃	—	2	1	no	—
1249	C₄×D₃	—	2	1	no	—
1250	C₄×D₃	—	2	1	no	—
1251	C₄×D₃	—	4	1	no	—
1252	C₄×D₃	—	4	2	no	—
1253	C₄×D₃	—	4	2	no	—
1254	C₄×D₃	—	4	2	no	—
1255	C₄×D₃	—	8	1	no	—
1256	C₄×D₃	—	8	1	no	—
1257	C₄×D₃	—	8	1	no	—
1258	C₄×D₃	—	8	1	no	—
1259	C₄×D₃	—	8	1	no	—
1260	Dic₆	—	2	1	no	—
1261	Dic₆	—	2	1	no	—
1262	Dic₆	—	2	1	no	—
1263	Dic₆	—	2	1	no	—
1264	Dic₆	—	4	1	no	—
1265	Dic₆	—	4	2	no	—
1266	Dic₆	—	4	2	no	—
1267	Dic₆	—	8	1	no	—
1268	Dic₆	—	8	1	no	—
1269	C₃×C₈	—	2	1	no	—
1270	C₃×C₈	—	2	1	no	—
1271	C₃×C₈	—	2	1	no	—
1272	C₃×C₈	C₂×#41	1	2	yes	—
1273	C₃⋊C₈	—	2	1	no	—
1274	C₃⋊C₈	—	2	1	no	—
1275	C₃⋊C₈	—	2	1	no	—
1276	C₃⋊C₈	—	2	1	no	—
1277	C₂⁴	—	6	1	no	—
1278	C₂⁴	—	6	1	no	—
1279	#41	—	2	2	no	—
1280	#41	—	2	2	no	—
1281	#41	—	4	1	no	—
1282	#41	—	4	1	no	—
1283	#41	—	24	2	no	—
1284	C₂×Q₈	—	3	1	no	—
1285	C₂×Q₈	—	3	1	no	—
1286	C₂×Q₈	—	3	1	no	—
1287	C₂×Q₈	—	6	1	no	—
1288	C₂×Q₈	—	6	1	no	—
1289	C₂×Q₈	—	6	1	no	—
1290	C₂×Q₈	—	6	1	no	—
1291	C₂×Q₈	—	6	2	no	—
1292	C₂×Q₈	—	6	2	no	—
1293	C₂×Q₈	—	12	1	no	—
1294	C₂×Q₈	—	12	1	no	—
1295	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1296	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1297	C₂×D₄	—	2	1	no	—
1298	C₂×D₄	—	2	1	no	—
1299	C₂×D₄	—	3	1	no	—
1300	C₂×D₄	—	3	1	no	—
1301	C₂×D₄	—	3	1	no	—
1302	C₂×D₄	—	3	1	no	—
1303	C₂×D₄	—	3	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	2	no	—
1309	C₂×D₄	—	6	2	no	—
1310	C₂×D₄	—	6	1	no	—
1311	C₂×D₄	—	6	1	no	—
1312	C₂×D₄	—	6	1	no	—
1313	C₂×D₄	—	6	1	no	—
1314	C₂×D₄	—	6	1	no	—
1315	C₂×D₄	—	6	1	no	—
1316	C₂×D₄	—	12	1	no	—
1317	C₂×D₄	—	12	1	no	—
1318	C₂×D₄	—	24	2	no	—
1319	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1320	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	2	1	no	—
1326	C₂²×C₄	—	2	1	no	—
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	3	1	no	—
1330	C₂²×C₄	—	3	1	no	—
1331	C₂²×C₄	—	3	1	no	—
1332	C₂²×C₄	—	3	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	—	6	1	no	—
1340	C₂²×C₄	—	6	1	no	—
1341	C₂²×C₄	—	6	1	no	—
1342	C₂²×C₄	—	6	1	no	—
1343	C₂²×C₄	—	24	2	no	—
1344	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1345	Q₁₆	—	2	2	no	—
1346	Q₁₆	—	12	1	no	—
1347	Q₁₆	—	12	1	no	—
1348	SD₁₆	—	2	2	no	—
1349	SD₁₆	—	6	2	no	—
1350	SD₁₆	—	6	2	no	—
1351	SD₁₆	—	6	2	no	—
1352	SD₁₆	—	6	2	no	—
1353	SD₁₆	—	6	2	no	—
1354	SD₁₆	—	6	2	no	—
1355	SD₁₆	—	12	1	no	—
1356	SD₁₆	—	12	1	no	—
1357	SD₁₆	#235	1	4	yes	complemented
1358	D₈	—	2	2	no	—
1359	D₈	—	12	1	no	—
1360	D₈	—	12	1	no	—
1361	M₁₆	—	4	1	no	—
1362	M₁₆	—	12	1	no	—
1363	C₂×C₈	—	2	2	no	—
1364	C₂×C₈	—	3	1	no	—
1365	C₂×C₈	—	3	1	no	—
1366	C₂×C₈	—	3	1	no	—
1367	C₂×C₈	—	3	1	no	—
1368	C₂×C₈	—	6	2	no	—
1369	C₂×C₈	—	6	2	no	—
1370	C₂×C₈	—	12	1	no	—
1371	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1372	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1373	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1374	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	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	—	3	1	no	—
1388	C₄⋊C₄	—	3	1	no	—
1389	C₄⋊C₄	—	3	1	no	—
1390	C₄⋊C₄	—	3	1	no	—
1391	C₄⋊C₄	—	3	1	no	—
1392	C₄⋊C₄	—	3	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	—	6	1	no	—
1408	C₄⋊C₄	—	6	1	no	—
1409	C₄⋊C₄	—	6	1	no	—
1410	C₄⋊C₄	—	6	1	no	—
1411	C₄⋊C₄	—	6	1	no	—
1412	C₄⋊C₄	—	6	1	no	—
1413	C₄⋊C₄	—	6	1	no	—
1414	C₄⋊C₄	—	6	1	no	—
1415	C₄⋊C₄	—	6	1	no	—
1416	C₄⋊C₄	—	6	1	no	—
1417	C₄⋊C₄	—	6	1	no	—
1418	C₄⋊C₄	—	6	1	no	—
1419	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1420	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1421	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1422	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1423	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1424	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	3	1	no	—
1430	C₂²⋊C₄	—	3	1	no	—
1431	C₂²⋊C₄	—	3	1	no	—
1432	C₂²⋊C₄	—	3	1	no	—
1433	C₂²⋊C₄	—	3	1	no	—
1434	C₂²⋊C₄	—	3	1	no	—
1435	C₂²⋊C₄	—	3	1	no	—
1436	C₂²⋊C₄	—	3	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	C₂²⋊C₄	—	6	1	no	—
1448	C₂²⋊C₄	—	6	1	no	—
1449	C₂²⋊C₄	—	6	1	no	—
1450	C₂²⋊C₄	—	6	1	no	—
1451	C₂²⋊C₄	—	6	1	no	—
1452	C₂²⋊C₄	—	6	1	no	—
1453	C₂²⋊C₄	—	6	1	no	—
1454	C₂²⋊C₄	—	6	1	no	—
1455	C₂²⋊C₄	—	6	1	no	—
1456	C₂²⋊C₄	—	6	1	no	—
1457	C₂²⋊C₄	—	6	1	no	—
1458	C₂²⋊C₄	—	6	1	no	—
1459	C₂²⋊C₄	—	6	1	no	—
1460	C₂²⋊C₄	—	6	1	no	—
1461	C₂²⋊C₄	—	6	1	no	—
1462	C₂²⋊C₄	—	6	1	no	—
1463	C₂²⋊C₄	—	6	1	no	—
1464	C₂²⋊C₄	—	6	1	no	—
1465	C₂²⋊C₄	D₃×D₄	1	1	yes	characteristic
1466	C₂²⋊C₄	D₃×D₄	1	1	yes	characteristic
1467	C₄²	—	2	1	no	—
1468	C₄²	—	2	1	no	—
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	3	1	no	—
1472	C₄²	—	3	1	no	—
1473	C₄²	—	3	1	no	—
1474	C₄²	—	3	1	no	—
1475	C₄²	—	6	1	no	—
1476	C₄²	—	6	1	no	—
1477	C₄²	—	6	1	no	—
1478	C₄²	—	6	1	no	—
1479	C₄²	—	6	1	no	—
1480	C₄²	—	6	1	no	—
1481	C₄²	—	6	1	no	—
1482	C₄²	—	6	1	no	—
1483	C₄²	C₂³×D₃	1	1	yes	characteristic
1484	C₄²	C₂³×D₃	1	1	yes	characteristic
1485	C₂²×C₃	—	2	1	no	—
1486	C₂²×C₃	—	2	2	no	—
1487	C₂²×C₃	—	2	1	no	—
1488	C₂²×C₃	—	2	1	no	—
1489	C₂²×C₃	—	4	1	no	—
1490	C₂²×C₃	—	4	1	no	—
1491	C₂²×C₃	—	4	1	no	—
1492	C₂²×C₃	—	4	1	no	—
1493	C₂²×C₃	—	4	1	no	—
1494	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1495	C₂×D₃	—	2	1	no	—
1496	C₂×D₃	—	2	1	no	—
1497	C₂×D₃	—	2	1	no	—
1498	C₂×D₃	—	2	1	no	—
1499	C₂×D₃	—	2	1	no	—
1500	C₂×D₃	—	4	1	no	—
1501	C₂×D₃	—	4	1	no	—
1502	C₂×D₃	—	4	1	no	—
1503	C₂×D₃	—	4	1	no	—
1504	C₂×D₃	—	4	1	no	—
1505	C₂×D₃	—	4	1	no	—
1506	C₂×D₃	—	8	4	no	—
1507	C₂×D₃	—	16	2	no	—
1508	C₂×D₃	#577	1	2	yes	—
1509	C₃×C₄	—	2	1	no	—
1510	C₃×C₄	—	2	1	no	—
1511	C₃×C₄	—	2	2	no	—
1512	C₃×C₄	—	2	1	no	—
1513	C₃×C₄	—	2	1	no	—
1514	C₃×C₄	—	2	1	no	—
1515	C₃×C₄	—	4	1	no	—
1516	C₃×C₄	—	4	1	no	—
1517	C₃×C₄	—	4	1	no	—
1518	C₃×C₄	—	4	1	no	—
1519	C₃×C₄	—	4	1	no	—
1520	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1521	C₃×C₄	#585	1	1	yes	characteristic
1522	Dic₃	—	2	1	no	—
1523	Dic₃	—	2	1	no	—
1524	Dic₃	—	2	1	no	—
1525	Dic₃	—	2	1	no	—
1526	Dic₃	—	2	1	no	—
1527	Dic₃	—	2	1	no	—
1528	Dic₃	—	4	1	no	—
1529	Dic₃	—	4	1	no	—
1530	Dic₃	—	4	1	no	—
1531	Dic₃	—	4	1	no	—
1532	Dic₃	—	4	1	no	—
1533	Dic₃	—	4	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	2	1	no	—
1536	C₂³	—	3	1	no	—
1537	C₂³	—	3	1	no	—
1538	C₂³	—	6	1	no	—
1539	C₂³	—	6	1	no	—
1540	C₂³	—	12	2	no	—
1541	C₂³	—	12	2	no	—
1542	C₂³	—	12	2	no	—
1543	C₂³	—	24	1	no	—
1544	C₂³	—	24	1	no	—
1545	C₂³	—	24	1	no	—
1546	C₂³	C₂×D₃×D₄	1	1	yes	characteristic
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	6	1	no	—
1551	Q₈	—	6	1	no	—
1552	Q₈	—	6	1	no	—
1553	Q₈	—	6	1	no	—
1554	Q₈	—	12	1	no	—
1555	Q₈	—	12	2	no	—
1556	Q₈	—	12	2	no	—
1557	Q₈	—	24	1	no	—
1558	Q₈	—	24	1	no	—
1559	Q₈	C₂×#235	1	2	yes	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	4	2	no	—
1564	D₄	—	4	2	no	—
1565	D₄	—	6	2	no	—
1566	D₄	—	6	2	no	—
1567	D₄	—	6	1	no	—
1568	D₄	—	6	1	no	—
1569	D₄	—	6	1	no	—
1570	D₄	—	6	1	no	—
1571	D₄	—	12	2	no	—
1572	D₄	—	12	1	no	—
1573	D₄	—	12	2	no	—
1574	D₄	—	12	2	no	—
1575	D₄	—	12	2	no	—
1576	D₄	—	24	1	no	—
1577	D₄	—	24	1	no	—
1578	D₄	—	24	1	no	—
1579	D₄	—	24	1	no	—
1580	D₄	—	24	1	no	—
1581	D₄	—	24	1	no	—
1582	D₄	C₂×#235	1	2	yes	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	3	1	no	—
1592	C₂×C₄	—	3	1	no	—
1593	C₂×C₄	—	3	1	no	—
1594	C₂×C₄	—	3	1	no	—
1595	C₂×C₄	—	3	1	no	—
1596	C₂×C₄	—	3	1	no	—
1597	C₂×C₄	—	4	2	no	—
1598	C₂×C₄	—	4	2	no	—
1599	C₂×C₄	—	6	2	no	—
1600	C₂×C₄	—	6	1	no	—
1601	C₂×C₄	—	6	1	no	—
1602	C₂×C₄	—	6	1	no	—
1603	C₂×C₄	—	6	1	no	—
1604	C₂×C₄	—	6	1	no	—
1605	C₂×C₄	—	6	1	no	—
1606	C₂×C₄	—	6	1	no	—
1607	C₂×C₄	—	6	1	no	—
1608	C₂×C₄	—	6	1	no	—
1609	C₂×C₄	—	6	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	12	1	no	—
1617	C₂×C₄	—	12	2	no	—
1618	C₂×C₄	—	12	2	no	—
1619	C₂×C₄	—	12	2	no	—
1620	C₂×C₄	—	24	1	no	—
1621	C₂×C₄	—	24	1	no	—
1622	C₂×C₄	—	24	1	no	—
1623	C₂×C₄	—	24	1	no	—
1624	C₂×C₄	—	24	1	no	—
1625	C₂×C₄	—	24	1	no	—
1626	C₂×C₄	—	24	1	no	—
1627	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1628	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1629	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1630	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1631	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1632	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	6	1	no	—
1637	C₈	—	6	1	no	—
1638	C₈	—	6	1	no	—
1639	C₈	—	6	1	no	—
1640	C₈	C₂×#235	1	2	yes	—
1641	C₂×C₃	—	4	2	no	—
1642	C₂×C₃	—	4	1	no	—
1643	C₂×C₃	—	8	1	no	—
1644	C₂×C₃	D₄×#41	1	1	yes	characteristic
1645	C₂×C₃	C₂×#577	1	1	yes	characteristic
1646	C₂×C₃	#3584	1	1	yes	characteristic
1647	D₃	—	2	2	no	—
1648	D₃	—	4	1	no	—
1649	D₃	—	8	1	no	—
1650	D₃	—	8	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	2	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	3	2	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	6	1	no	—
1662	C₂²	—	6	1	no	—
1663	C₂²	—	6	1	no	—
1664	C₂²	—	6	1	no	—
1665	C₂²	—	6	1	no	—
1666	C₂²	—	12	1	no	—
1667	C₂²	—	12	1	no	—
1668	C₂²	—	12	1	no	—
1669	C₂²	—	12	1	no	—
1670	C₂²	—	12	1	no	—
1671	C₂²	—	12	1	no	—
1672	C₂²	—	24	4	no	—
1673	C₂²	—	48	2	no	—
1674	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1675	C₄	—	2	1	no	—
1676	C₄	—	2	2	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	6	1	no	—
1687	C₄	—	6	1	no	—
1688	C₄	—	6	1	no	—
1689	C₄	—	6	1	no	—
1690	C₄	—	6	1	no	—
1691	C₄	—	6	1	no	—
1692	C₄	—	12	1	no	—
1693	C₄	—	12	1	no	—
1694	C₄	—	12	1	no	—
1695	C₄	—	12	1	no	—
1696	C₄	—	12	1	no	—
1697	C₄	—	12	1	no	—
1698	C₄	C₂²×#235	1	1	yes	characteristic
1699	C₄	#5964	1	1	yes	characteristic
1700	C₃	#61472	1	1	yes	characteristic, complemented, Sylow
1701	C₂	—	4	1	no	—
1702	C₂	—	4	2	no	—
1703	C₂	—	6	2	no	—
1704	C₂	—	8	1	no	—
1705	C₂	—	12	1	no	—
1706	C₂	—	24	1	no	—
1707	C₂	—	24	1	no	—
1708	C₂	D₄×#235	1	1	yes	characteristic
1709	C₂	D₃×#577	1	1	yes	characteristic
1710	C₂	#87206	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×#2952	C₂
socle	C₂²×C₃	C₂³×D₄
hypercenter	#2952	D₃
hypocenter	C₃	#61472
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #2952

Complements

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

N	H ≅ G/N	type
1. #85906	C₂	semidirect
2. #85905	C₂	semidirect
3. C₃×#2952	C₂	semidirect
4. #83919	C₂	semidirect
5. #83919	C₂	semidirect
6. #82575	C₂	semidirect
7. #82568	C₂	semidirect
8. #79886	C₂	semidirect
9. #79882	C₂	semidirect
10. #79871	C₂	semidirect
11. #79854	C₂	semidirect
12. #79841	C₂	semidirect
13. #79835	C₂	semidirect
14. #79834	C₂	semidirect
15. #79816	C₂	semidirect
16. #79689	C₂	semidirect
17. SD₁₆×D₁₂	C₂	semidirect
18. #79666	C₂	semidirect
19. #79663	C₂	semidirect
20. #79649	C₂	semidirect
21. C₄×D₃×SD₁₆	C₂	semidirect
22. #79638	C₂	semidirect
23. #79633	C₂	semidirect
24. #79125	C₂	semidirect
25. #79124	C₂	semidirect
26. #78904	C₂	semidirect
27. #78903	C₂	semidirect
28. #78898	C₂	semidirect
29. #78896	C₂	semidirect
30. #78567	C₂	semidirect
31. #78556	C₂	semidirect
35. C₃×#520	C₂²	semidirect
36. #5831	C₂²	semidirect
37. #5831	C₂²	semidirect
47. #5572	C₂²	semidirect
48. C₄×D₃×Q₈	C₂²	semidirect
49. #5569	C₂²	semidirect
51. #5561	C₂²	semidirect
56. #5557	C₂²	semidirect
63. #5542	C₂²	semidirect
72. #5518	C₂²	semidirect
76. #5513	C₂²	semidirect
78. #5511	C₂²	semidirect
83. C₃×#441	C₂²	semidirect
84. C₃×#441	C₂²	semidirect
87. C₃×C₄×SD₁₆	C₂²	semidirect
88. C₃×C₄×SD₁₆	C₂²	semidirect
89. C₂×C₃×#106	C₂²	semidirect
91. C₃×#417	C₂²	semidirect
92. C₃×#405	C₂²	semidirect
95. #5238	C₂²	semidirect
96. #5238	C₂²	semidirect
97. #5186	C₂²	semidirect
98. #5186	C₂²	semidirect
99. #5185	C₂²	semidirect
100. #5185	C₂²	semidirect
101. #5171	C₂²	semidirect
102. #5171	C₂²	semidirect
103. #5168	C₂²	semidirect
104. #5168	C₂²	semidirect
111. #5134	C₂²	semidirect
112. #5134	C₂²	semidirect
113. #5128	C₂²	semidirect
114. #5127	C₂²	semidirect
115. #5114	C₂²	semidirect
116. #5114	C₂²	semidirect
117. C₈×#67	C₂²	semidirect
118. C₈×#67	C₂²	semidirect
119. #5031	C₂²	semidirect
120. #5030	C₂²	semidirect
121. C₄×#216	C₂²	semidirect
123. #5026	C₂²	semidirect
124. C₄×#215	C₂²	semidirect
125. #5022	C₂²	semidirect
126. #5022	C₂²	semidirect
131. #5014	C₂²	semidirect
132. C₄×#213	C₂²	semidirect
134. #5009	C₂²	semidirect
135. #5000	C₂²	semidirect
136. #4971	C₂²	semidirect
137. #4970	C₂²	semidirect
138. #4968	C₂²	semidirect
139. #4967	C₂²	semidirect
140. #4871	C₂²	semidirect
141. #4870	C₂²	semidirect
142. #4868	C₂²	semidirect
147. #4862	C₂²	semidirect
148. #4860	C₂²	semidirect
149. D₃×#106	C₂²	semidirect
150. #4858	C₂²	semidirect
151. #4857	C₂²	semidirect
152. #4855	C₂²	semidirect
153. #4854	C₂²	semidirect
154. #4852	C₂²	semidirect
155. #4852	C₂²	semidirect
156. #4817	C₂²	semidirect
157. #4816	C₂²	semidirect
158. #4814	C₂²	semidirect
159. #4813	C₂²	semidirect
160. #4811	C₂²	semidirect
163. #4802	C₂²	semidirect
164. D₃×#103	C₂²	semidirect
165. #4800	C₂²	semidirect
166. #4798	C₂²	semidirect
167. #4798	C₂²	semidirect
168. #4796	C₂²	semidirect
169. #4794	C₂²	semidirect
170. #4793	C₂²	semidirect
171. #4788	C₂²	semidirect
172. #4787	C₂²	semidirect
173. #4787	C₂²	semidirect
174. #4784	C₂²	semidirect
179. #4774	C₂²	semidirect
182. #4768	C₂²	semidirect
184. #4765	C₂²	semidirect
189. #4710	C₂²	semidirect
190. #4710	C₂²	semidirect
191. #4709	C₂²	semidirect
193. #4705	C₂²	semidirect
194. #4703	C₂²	semidirect
195. #4701	C₂²	semidirect
197. C₄×#204	C₂²	semidirect
198. C₄×#204	C₂²	semidirect
199. #4689	C₂²	semidirect
201. C₄×D₃×C₈	C₂²	semidirect
202. #4683	C₂²	semidirect
203. C₈×Dic₆	C₂²	semidirect
232. #2952	D₃	semidirect
556. #520	C₂×D₃	semidirect
639. #441	C₂×D₃	semidirect
640. #441	C₂×D₃	semidirect
660. C₄×SD₁₆	C₂×D₃	semidirect
661. C₄×SD₁₆	C₂×D₃	semidirect
674. C₂×#106	C₂×D₃	semidirect
678. #417	C₂×D₃	semidirect
682. #405	C₂×D₃	semidirect
754. C₃×SD₁₆	#41	semidirect
1357. SD₁₆	#235	semidirect
1700. C₃	#61472	semidirect

Maximal subgroups

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

subgroup	index
#85906	2
#85905	2
C₃×#2952	2
#83919	2
#82575	2
#82568	2
#79886	2
#79882	2
#79871	2
#79854	2
#79841	2
#79835	2
#79834	2
#79816	2
#79689	2
SD₁₆×D₁₂	2
#79666	2
#79663	2
#79649	2
C₄×D₃×SD₁₆	2
#79638	2
#79633	2
#79125	2
#79124	2
#78904	2
#78903	2
#78898	2
#78896	2
#78567	2
#78556	2
#61472	3