Subgroups — #11691988

Order 768.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86541	C₂	1	1	yes	maximal, characteristic, complemented
2	#85864	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
4	#83469	C₂	1	1	yes	maximal, characteristic, complemented
5	#82539	C₂	1	1	yes	maximal, characteristic, complemented
6	#81539	C₂	1	1	yes	maximal, characteristic, complemented
7	#81532	C₂	1	1	yes	maximal, characteristic, complemented
8	#81394	C₂	1	1	yes	maximal, characteristic, complemented
9	#81393	C₂	1	1	yes	maximal, characteristic, complemented
10	#81069	C₂	1	1	yes	maximal, characteristic, complemented
11	#81066	C₂	1	1	yes	maximal, characteristic, complemented
12	#80967	C₂	1	1	yes	maximal, characteristic, complemented
13	#80964	C₂	1	1	yes	maximal, characteristic, complemented
14	#80550	C₂	1	1	yes	maximal, characteristic, complemented
15	#80512	C₂	1	1	yes	maximal, characteristic, complemented
16	#80508	C₂	1	1	yes	maximal, characteristic, complemented
17	#80506	C₂	1	1	yes	maximal, characteristic, complemented
18	#80162	C₂	1	1	yes	maximal, characteristic, complemented
19	#80160	C₂	1	1	yes	maximal, characteristic, complemented
20	#80018	C₂	1	1	yes	maximal, characteristic, complemented
21	#80015	C₂	1	1	yes	maximal, characteristic, complemented
22	#79883	C₂	1	1	yes	maximal, characteristic, complemented
23	#79855	C₂	1	1	yes	maximal, characteristic, complemented
24	#79808	C₂	1	1	yes	maximal, characteristic, complemented
25	#79754	C₂	1	1	yes	maximal, characteristic, complemented
26	#79677	C₂	1	1	yes	maximal, characteristic, complemented
27	#79635	C₂	1	1	yes	maximal, characteristic, complemented
28	#79616	C₂	1	1	yes	maximal, characteristic, complemented
29	#79572	C₂	1	1	yes	maximal, characteristic, complemented
30	#79379	C₂	1	1	yes	maximal, characteristic, complemented
31	#79364	C₂	1	1	yes	maximal, characteristic, complemented
32	#62159	—	3	1	no	maximal, Sylow
33	C₃×#542	C₂²	1	1	yes	characteristic, complemented
34	C₃×#518	C₂²	1	1	yes	characteristic
35	#5806	C₂²	1	1	yes	characteristic
36	D₄×#67	C₂²	1	1	yes	characteristic
37	#5729	C₂²	1	1	yes	characteristic, complemented
38	#5728	C₂²	1	1	yes	characteristic, complemented
39	#5712	—	2	1	no	—
40	#5702	—	2	1	no	—
41	#5682	—	2	1	no	—
42	#5682	C₂²	1	1	yes	characteristic, complemented
43	#5680	C₂²	1	1	yes	characteristic, complemented
44	#5669	—	2	1	no	—
45	#5667	—	2	1	no	—
46	#5650	—	2	1	no	—
47	#5645	—	2	1	no	—
48	#5642	C₂²	1	1	yes	characteristic
49	#5641	C₂²	1	1	yes	characteristic, complemented
50	#5625	—	2	1	no	—
51	#5618	C₂²	1	1	yes	characteristic, complemented
52	#5614	C₂²	1	1	yes	characteristic
53	#5581	C₂²	1	1	yes	characteristic, complemented
54	#5570	C₂²	1	1	yes	characteristic, complemented
55	#5563	C₂²	1	1	yes	characteristic
56	#5563	C₂²	1	1	yes	characteristic, complemented
57	#5561	C₂²	1	1	yes	characteristic
58	#5560	—	2	1	no	—
59	#5559	C₂²	1	1	yes	characteristic
60	#5556	—	2	1	no	—
61	#5554	C₂²	1	1	yes	characteristic
62	#5552	—	2	1	no	—
63	#5548	C₂²	1	1	yes	characteristic
64	#5545	C₂²	1	1	yes	characteristic
65	#5539	C₂²	1	1	yes	characteristic, complemented
66	#5538	—	2	1	no	—
67	D₄×Dic₆	C₂²	1	1	yes	characteristic
68	C₄×#237	C₂²	1	1	yes	characteristic
69	#5534	C₂²	1	1	yes	characteristic
70	#5533	C₂²	1	1	yes	characteristic
71	#5532	C₂²	1	1	yes	characteristic
72	#5528	C₂²	1	1	yes	characteristic
73	#5519	C₂²	1	1	yes	characteristic, complemented
74	#5495	—	2	1	no	—
75	#5494	—	2	1	no	—
76	C₂×#885	—	2	1	no	—
77	#5490	—	2	1	no	—
78	C₃×#485	C₂²	1	1	yes	characteristic, complemented
79	C₃×#482	C₂²	1	1	yes	characteristic, complemented
80	C₃×#476	C₂²	1	1	yes	characteristic, complemented
81	C₃×#474	C₂²	1	1	yes	characteristic
82	C₃×#463	C₂²	1	1	yes	characteristic
83	C₃×#463	C₂²	1	1	yes	characteristic, complemented
84	C₃×#450	C₂²	1	1	yes	characteristic
85	C₃×#447	C₂²	1	1	yes	characteristic
86	C₃×#442	C₂²	1	1	yes	characteristic
87	C₃×#440	C₂²	1	1	yes	characteristic, complemented
88	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
89	C₃×C₄×D₈	C₂²	1	1	yes	characteristic, complemented
90	C₃×#433	C₂²	1	1	yes	characteristic, complemented
91	#5215	C₂²	1	1	yes	characteristic
92	C₂×#832	C₂²	1	1	yes	characteristic
93	#5174	C₂²	1	1	yes	characteristic
94	#5173	C₂²	1	1	yes	characteristic
95	#5171	C₂²	1	1	yes	characteristic, complemented
96	#5169	C₂²	1	1	yes	characteristic
97	#5166	C₂²	1	1	yes	characteristic, complemented
98	#5164	C₂²	1	1	yes	characteristic
99	#5164	C₂²	1	1	yes	characteristic
100	#5163	C₂²	1	1	yes	characteristic
101	#5158	C₂²	1	1	yes	characteristic
102	#5157	C₂²	1	1	yes	characteristic
103	#5157	C₂²	1	1	yes	characteristic, complemented
104	#5156	C₂²	1	1	yes	characteristic
105	#5153	C₂²	1	1	yes	characteristic, complemented
106	#5152	C₂²	1	1	yes	characteristic
107	#5150	C₂²	1	1	yes	characteristic
108	Dic₃×D₈	C₂²	1	1	yes	characteristic
109	#5094	C₂²	1	1	yes	characteristic, complemented
110	#5084	C₂²	1	1	yes	characteristic, complemented
111	#5057	C₂²	1	1	yes	characteristic, complemented
112	#5054	C₂²	1	1	yes	characteristic, complemented
113	#5052	C₂²	1	1	yes	characteristic, complemented
114	#5048	C₂²	1	1	yes	characteristic
115	#5041	C₂²	1	1	yes	characteristic, complemented
116	#5039	C₂²	1	1	yes	characteristic
117	#5028	C₂²	1	1	yes	characteristic, complemented
118	#5020	C₂²	1	1	yes	characteristic, complemented
119	#5016	C₂²	1	1	yes	characteristic, complemented
120	#5009	C₂²	1	1	yes	characteristic
121	#5009	C₂²	1	1	yes	characteristic
122	#5009	C₂²	1	1	yes	characteristic, complemented
123	#5009	C₂²	1	1	yes	characteristic, complemented
124	#5008	C₂²	1	1	yes	characteristic
125	#5008	C₂²	1	1	yes	characteristic, complemented
126	#5008	C₂²	1	1	yes	characteristic, complemented
127	#5007	C₂²	1	1	yes	characteristic
128	#5007	C₂²	1	1	yes	characteristic, complemented
129	#4999	C₂²	1	1	yes	characteristic, complemented
130	#4998	C₂²	1	1	yes	characteristic, complemented
131	#4995	C₂²	1	1	yes	characteristic, complemented
132	#4891	C₂²	1	1	yes	characteristic, complemented
133	#4890	C₂²	1	1	yes	characteristic, complemented
134	#4881	C₂²	1	1	yes	characteristic, complemented
135	#4880	C₂²	1	1	yes	characteristic, complemented
136	#4880	C₂²	1	1	yes	characteristic, complemented
137	#4880	C₂²	1	1	yes	characteristic, complemented
138	#4877	C₂²	1	1	yes	characteristic, complemented
139	#4877	C₂²	1	1	yes	characteristic, complemented
140	#4868	C₂²	1	1	yes	characteristic, complemented
141	#4866	C₂²	1	1	yes	characteristic, complemented
142	#4866	C₂²	1	1	yes	characteristic, complemented
143	#4862	C₂²	1	1	yes	characteristic, complemented
144	#4856	C₂²	1	1	yes	characteristic, complemented
145	#4856	C₂²	1	1	yes	characteristic, complemented
146	#4856	C₂²	1	1	yes	characteristic, complemented
147	#4855	C₂²	1	1	yes	characteristic, complemented
148	#4850	C₂²	1	1	yes	characteristic, complemented
149	#4847	C₂²	1	1	yes	characteristic, complemented
150	#4846	C₂²	1	1	yes	characteristic, complemented
151	#4840	C₂²	1	1	yes	characteristic, complemented
152	#4839	C₂²	1	1	yes	characteristic, complemented
153	#4835	C₂²	1	1	yes	characteristic, complemented
154	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#4829	C₂²	1	1	yes	characteristic, complemented
156	#4815	C₂²	1	1	yes	characteristic, complemented
157	#4814	C₂²	1	1	yes	characteristic, complemented
158	#4813	C₂²	1	1	yes	characteristic, complemented
159	#4807	C₂²	1	1	yes	characteristic, complemented
160	#4793	C₂²	1	1	yes	characteristic, complemented
161	#4793	C₂²	1	1	yes	characteristic, complemented
162	#4789	C₂²	1	1	yes	characteristic, complemented
163	#4788	C₂²	1	1	yes	characteristic, complemented
164	#4785	C₂²	1	1	yes	characteristic, complemented
165	#4784	C₂²	1	1	yes	characteristic
166	#4784	C₂²	1	1	yes	characteristic, complemented
167	#4784	C₂²	1	1	yes	characteristic, complemented
168	#4784	C₂²	1	1	yes	characteristic, complemented
169	#4784	C₂²	1	1	yes	characteristic, complemented
170	#4780	C₂²	1	1	yes	characteristic, complemented
171	#4777	C₂²	1	1	yes	characteristic
172	#4775	C₂²	1	1	yes	characteristic, complemented
173	#4772	C₂²	1	1	yes	characteristic
174	#4772	C₂²	1	1	yes	characteristic
175	#4770	C₂²	1	1	yes	characteristic
176	D₃×#102	C₂²	1	1	yes	characteristic
177	#4768	C₂²	1	1	yes	characteristic, complemented
178	#4766	C₂²	1	1	yes	characteristic
179	#4766	C₂²	1	1	yes	characteristic
180	#4766	C₂²	1	1	yes	characteristic
181	#4765	C₂²	1	1	yes	characteristic, complemented
182	#4764	C₂²	1	1	yes	characteristic
183	#4764	C₂²	1	1	yes	characteristic
184	#4761	C₂²	1	1	yes	characteristic
185	#4761	C₂²	1	1	yes	characteristic, complemented
186	#4759	C₂²	1	1	yes	characteristic, complemented
187	#4757	C₂²	1	1	yes	characteristic, complemented
188	#4737	C₂²	1	1	yes	characteristic
189	#4736	C₂²	1	1	yes	characteristic
190	#4730	C₂²	1	1	yes	characteristic
191	#4728	C₂²	1	1	yes	characteristic
192	#4728	C₂²	1	1	yes	characteristic, complemented
193	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
194	#4723	C₂²	1	1	yes	characteristic, complemented
195	#4722	C₂²	1	1	yes	characteristic, complemented
196	#4714	C₂²	1	1	yes	characteristic, complemented
197	#4706	C₂²	1	1	yes	characteristic, complemented
198	#4702	C₂²	1	1	yes	characteristic, complemented
199	#4701	C₂²	1	1	yes	characteristic, complemented
200	#4697	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
202	#4682	C₂²	1	1	yes	characteristic, complemented
203	#4679	C₂²	1	1	yes	characteristic, complemented
204	#3565	—	3	1	no	—
205	#3514	—	3	1	no	—
206	#3386	—	3	1	no	—
207	#3384	—	3	1	no	—
208	#3371	—	3	1	no	—
209	#3370	—	3	1	no	—
210	#3350	—	3	1	no	—
211	#3349	—	3	1	no	—
212	#3348	—	3	1	no	—
213	#3347	—	3	1	no	—
214	#3341	—	3	1	no	—
215	#3340	—	3	1	no	—
216	#3319	—	3	1	no	—
217	#3318	—	3	1	no	—
218	#3311	—	3	1	no	—
219	#3310	—	3	1	no	—
220	#3297	—	3	1	no	—
221	#3296	—	3	1	no	—
222	#3263	—	3	1	no	—
223	#3262	—	3	1	no	—
224	#3247	—	3	1	no	—
225	#3244	—	3	1	no	—
226	#3243	—	3	1	no	—
227	#3235	—	3	1	no	—
228	#3118	—	3	1	no	—
229	#3118	D₃	1	1	yes	characteristic, complemented
230	#3111	—	3	1	no	—
231	#3081	—	3	1	no	—
232	#3081	—	3	1	no	—
233	#3076	—	3	1	no	—
234	#2992	—	3	1	no	—
235	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
236	C₂²×#67	—	2	1	no	—
237	C₂×#237	C₂³	1	1	yes	characteristic
238	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
239	C₂×#235	—	2	1	no	—
240	C₂²×Dic₆	—	2	1	no	—
241	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
245	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
246	C₃×#126	—	2	1	no	—
247	C₃×#124	—	2	1	no	—
248	C₃×#124	C₂³	1	1	yes	characteristic
249	C₃×#123	—	2	1	no	—
250	C₃×C₂²⋊Q₈	—	2	1	no	—
251	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₃×#121	C₂³	1	1	yes	characteristic
253	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
254	C₃×C₄×D₄	—	2	1	no	—
255	C₃×C₄×D₄	—	2	1	no	—
256	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
257	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
258	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
259	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
260	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₃×#117	C₂³	1	1	yes	characteristic
262	C₃×#117	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
265	#953	—	2	1	no	—
266	#953	—	2	1	no	—
267	C₂×#217	—	2	1	no	—
268	#946	—	2	1	no	—
269	#946	—	2	1	no	—
270	#946	C₂³	1	1	yes	characteristic
271	#946	C₂³	1	1	yes	characteristic
272	Q₈×Dic₃	—	2	1	no	—
273	Q₈×Dic₃	C₂³	1	1	yes	characteristic
274	Q₈×Dic₃	C₂³	1	1	yes	characteristic
275	#944	—	2	1	no	—
276	C₂×#216	C₂³	1	1	yes	characteristic
277	C₂×#215	C₂³	1	1	yes	characteristic
278	#940	C₂³	1	1	yes	characteristic
279	#939	—	2	1	no	—
280	#939	—	2	1	no	—
281	#939	—	2	1	no	—
282	#938	—	2	1	no	—
283	#938	C₂³	1	1	yes	characteristic
284	#938	C₂³	1	1	yes	characteristic
285	#938	C₂³	1	1	yes	characteristic
286	#938	C₂³	1	1	yes	characteristic
287	#937	—	2	1	no	—
288	#936	C₂³	1	1	yes	characteristic
289	#935	—	2	1	no	—
290	#935	—	2	1	no	—
291	D₄×Dic₃	—	2	1	no	—
292	D₄×Dic₃	C₂³	1	1	yes	characteristic
293	D₄×Dic₃	C₂³	1	1	yes	characteristic
294	D₄×Dic₃	C₂³	1	1	yes	characteristic
295	D₄×Dic₃	C₂³	1	1	yes	characteristic
296	C₂×#214	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	—	2	1	no	—
301	#930	C₂³	1	1	yes	characteristic
302	#929	—	2	1	no	—
303	#929	—	2	1	no	—
304	C₄×#67	—	2	1	no	—
305	C₄×#67	—	2	1	no	—
306	C₄×#67	—	2	1	no	—
307	C₄×#67	—	2	1	no	—
308	C₄×#67	C₂³	1	1	yes	characteristic
309	C₄×#67	C₂³	1	1	yes	characteristic
310	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
311	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
312	#926	—	2	1	no	—
313	#926	—	2	1	no	—
314	#926	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
316	#924	—	2	1	no	—
317	#924	—	2	1	no	—
318	#924	—	2	1	no	—
319	#924	C₂³	1	1	yes	characteristic
320	C₂×Dic₃⋊C₄	—	2	1	no	—
321	C₂×C₄×Dic₃	—	2	1	no	—
322	C₂×#208	C₂³	1	1	yes	characteristic
323	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
325	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
326	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
327	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
328	#898	—	2	1	no	—
329	#898	—	2	1	no	—
330	#898	—	2	1	no	—
331	#898	D₄	1	1	yes	characteristic
332	#897	—	2	1	no	—
333	#897	C₂³	1	1	yes	characteristic
334	#896	—	2	1	no	—
335	#896	—	2	1	no	—
336	#896	D₄	1	1	yes	characteristic
337	#895	C₂³	1	1	yes	characteristic
338	#894	—	2	1	no	—
339	#894	D₄	1	1	yes	characteristic
340	#893	C₂³	1	1	yes	characteristic
341	#892	C₂³	1	1	yes	characteristic
342	#892	C₂³	1	1	yes	characteristic
343	#892	C₂³	1	1	yes	characteristic
344	#892	C₂³	1	1	yes	characteristic
345	#892	C₂³	1	1	yes	characteristic
346	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	#890	—	2	1	no	—
348	#890	—	2	1	no	—
349	#890	—	2	1	no	—
350	#890	—	2	1	no	—
351	#890	C₂³	1	1	yes	characteristic
352	#890	C₂³	1	1	yes	characteristic
353	#890	C₂³	1	1	yes	characteristic
354	#889	—	2	1	no	—
355	#889	—	2	1	no	—
356	#889	D₄	1	1	yes	characteristic
357	#888	—	2	1	no	—
358	#888	C₂³	1	1	yes	characteristic
359	#888	C₂³	1	1	yes	characteristic
360	#888	C₂³	1	1	yes	characteristic
361	#887	—	2	1	no	—
362	#887	—	2	1	no	—
363	#887	C₂³	1	1	yes	characteristic
364	#886	—	2	1	no	—
365	#886	—	2	1	no	—
366	#886	—	2	1	no	—
367	#886	—	2	1	no	—
368	#885	—	2	1	no	—
369	#885	—	2	1	no	—
370	#885	—	2	1	no	—
371	#885	—	2	1	no	—
372	#885	—	2	1	no	—
373	#885	—	2	1	no	—
374	#885	—	2	1	no	—
375	#885	—	2	1	no	—
376	#885	—	2	1	no	—
377	#885	—	2	1	no	—
378	#885	—	2	1	no	—
379	#885	—	2	1	no	—
380	#885	D₄	1	1	yes	characteristic
381	#884	—	2	1	no	—
382	#884	—	2	1	no	—
383	#884	D₄	1	1	yes	characteristic
384	#883	—	2	1	no	—
385	#883	—	2	1	no	—
386	#883	—	2	1	no	—
387	#883	D₄	1	1	yes	characteristic
388	#882	—	2	1	no	—
389	#67⋊C₄	—	2	1	no	—
390	#67⋊C₄	—	2	1	no	—
391	#67⋊C₄	—	2	1	no	—
392	#67⋊C₄	—	2	1	no	—
393	D₃×C₂²⋊C₄	—	2	1	no	—
394	#879	—	2	1	no	—
395	#879	—	2	1	no	—
396	#879	—	2	1	no	—
397	#879	—	2	1	no	—
398	#879	—	2	1	no	—
399	#879	—	2	1	no	—
400	#879	—	2	1	no	—
401	#879	D₄	1	1	yes	characteristic
402	#878	—	2	1	no	—
403	#878	—	2	1	no	—
404	#878	—	2	1	no	—
405	#878	—	2	1	no	—
406	#878	—	2	1	no	—
407	#878	—	2	1	no	—
408	#878	—	2	1	no	—
409	#877	—	2	1	no	—
410	#877	—	2	1	no	—
411	#877	—	2	1	no	—
412	#876	—	2	1	no	—
413	#876	—	2	1	no	—
414	#875	—	2	1	no	—
415	#875	C₂³	1	1	yes	characteristic
416	C₄×D₁₂	C₂³	1	1	yes	characteristic
417	C₄×D₁₂	C₂³	1	1	yes	characteristic
418	#872	—	2	1	no	—
419	#872	—	2	1	no	—
420	#872	C₂³	1	1	yes	characteristic
421	C₄²×D₃	C₂³	1	1	yes	characteristic
422	#870	C₂³	1	1	yes	characteristic
423	#870	C₂³	1	1	yes	characteristic
424	#869	—	2	1	no	—
425	#869	C₂³	1	1	yes	characteristic
426	#869	C₂³	1	1	yes	characteristic
427	#869	C₂³	1	1	yes	characteristic
428	C₄×Dic₆	—	2	1	no	—
429	C₄×Dic₆	—	2	1	no	—
430	C₄×Dic₆	C₂³	1	1	yes	characteristic
431	C₄×Dic₆	C₂³	1	1	yes	characteristic
432	C₃×#107	C₂³	1	1	yes	characteristic
433	C₃×#107	C₂³	1	1	yes	characteristic
434	C₃×#106	C₂³	1	1	yes	characteristic
435	C₃×#106	C₂³	1	1	yes	characteristic
436	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₃×#103	C₂³	1	1	yes	characteristic
439	C₃×#103	C₂³	1	1	yes	characteristic
440	C₃×#102	C₂³	1	1	yes	characteristic
441	C₃×#102	C₂³	1	1	yes	characteristic
442	C₃×#102	C₂³	1	1	yes	characteristic
443	C₃×#102	C₂³	1	1	yes	characteristic
444	C₃×#102	C₂³	1	1	yes	characteristic
445	C₃×#102	C₂³	1	1	yes	characteristic
446	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
448	C₃×#97	C₂³	1	1	yes	characteristic
449	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
450	#835	C₂³	1	1	yes	characteristic
451	#835	C₂³	1	1	yes	characteristic
452	#832	C₂³	1	1	yes	characteristic
453	#832	C₂³	1	1	yes	characteristic
454	#832	C₂³	1	1	yes	characteristic
455	#832	C₂³	1	1	yes	characteristic
456	#832	C₂³	1	1	yes	characteristic
457	#832	C₂³	1	1	yes	characteristic
458	#832	C₂³	1	1	yes	characteristic
459	#832	C₂³	1	1	yes	characteristic
460	#832	C₂³	1	1	yes	characteristic
461	#832	C₂³	1	1	yes	characteristic
462	#821	C₂³	1	1	yes	characteristic
463	#821	C₂³	1	1	yes	characteristic
464	#821	C₂³	1	1	yes	characteristic
465	#821	C₂³	1	1	yes	characteristic
466	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
467	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
468	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
469	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
470	#818	C₂³	1	1	yes	characteristic
471	#818	C₂³	1	1	yes	characteristic
472	#818	C₂³	1	1	yes	characteristic
473	#818	C₂³	1	1	yes	characteristic
474	#818	C₂³	1	1	yes	characteristic
475	#818	C₂³	1	1	yes	characteristic
476	#817	C₂³	1	1	yes	characteristic
477	#817	C₂³	1	1	yes	characteristic
478	#816	C₂³	1	1	yes	characteristic
479	#816	C₂³	1	1	yes	characteristic
480	#816	C₂³	1	1	yes	characteristic
481	#816	C₂³	1	1	yes	characteristic
482	#815	C₂³	1	1	yes	characteristic
483	#815	C₂³	1	1	yes	characteristic
484	#815	C₂³	1	1	yes	characteristic
485	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
486	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
487	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
488	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
489	C₈×Dic₃	C₂³	1	1	yes	characteristic
490	#810	C₂³	1	1	yes	characteristic
491	#810	C₂³	1	1	yes	characteristic
492	#809	C₂³	1	1	yes	characteristic
493	#809	C₂³	1	1	yes	characteristic
494	#808	C₂³	1	1	yes	characteristic
495	#808	C₂³	1	1	yes	characteristic
496	#808	C₂³	1	1	yes	characteristic
497	#808	C₂³	1	1	yes	characteristic
498	#808	C₂³	1	1	yes	characteristic
499	#808	C₂³	1	1	yes	characteristic
500	#808	C₂³	1	1	yes	characteristic
501	#808	C₂³	1	1	yes	characteristic
502	#807	C₂³	1	1	yes	characteristic
503	#807	C₂³	1	1	yes	characteristic
504	#807	C₂³	1	1	yes	characteristic
505	#807	C₂³	1	1	yes	characteristic
506	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
507	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
508	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
509	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
510	#563	—	6	1	no	—
511	#562	—	6	1	no	—
512	#559	—	3	1	no	—
513	#557	—	3	1	no	—
514	#556	—	3	1	no	—
515	#556	—	3	1	no	—
516	#556	—	6	1	no	—
517	#555	—	3	1	no	—
518	#555	—	3	1	no	—
519	#555	—	3	1	no	—
520	#554	—	3	1	no	—
521	#553	—	3	1	no	—
522	#553	—	3	1	no	—
523	#552	—	3	1	no	—
524	#552	—	3	1	no	—
525	#552	—	6	1	no	—
526	#551	—	6	1	no	—
527	#551	—	6	1	no	—
528	D₄×Q₈	—	3	1	no	—
529	#548	—	6	1	no	—
530	#546	—	3	1	no	—
531	#546	—	3	1	no	—
532	#546	—	6	1	no	—
533	D₄²	—	3	1	no	—
534	#544	—	3	1	no	—
535	#544	—	3	1	no	—
536	#542	—	3	1	no	—
537	#542	—	3	1	no	—
538	#542	—	3	1	no	—
539	#542	—	6	1	no	—
540	#542	—	6	1	no	—
541	#542	C₂×D₃	1	1	yes	characteristic, complemented
542	#541	—	6	1	no	—
543	#539	—	6	1	no	—
544	#538	—	6	1	no	—
545	#538	—	6	1	no	—
546	#533	—	3	1	no	—
547	#532	—	3	1	no	—
548	#529	—	3	1	no	—
549	#529	—	3	1	no	—
550	#529	—	6	1	no	—
551	C₂×#124	—	6	1	no	—
552	#518	—	3	1	no	—
553	#518	C₂×D₃	1	1	yes	characteristic
554	C₄×#41	—	3	1	no	—
555	#501	—	3	1	no	—
556	#501	—	3	1	no	—
557	#501	—	3	1	no	—
558	#501	—	3	1	no	—
559	#500	—	3	1	no	—
560	#498	—	3	1	no	—
561	#490	—	3	1	no	—
562	#490	—	3	1	no	—
563	#489	—	3	1	no	—
564	#489	—	3	1	no	—
565	#488	—	3	1	no	—
566	#488	—	3	1	no	—
567	#485	—	3	1	no	—
568	#485	—	3	1	no	—
569	#485	—	3	1	no	—
570	#485	—	3	1	no	—
571	#485	C₂×D₃	1	1	yes	characteristic, complemented
572	#484	—	3	1	no	—
573	#483	—	3	1	no	—
574	#482	—	3	1	no	—
575	#482	—	3	1	no	—
576	#482	—	3	1	no	—
577	#482	—	3	1	no	—
578	#482	—	3	1	no	—
579	#482	—	3	1	no	—
580	#482	—	3	1	no	—
581	#482	—	3	1	no	—
582	#482	C₂×D₃	1	1	yes	characteristic, complemented
583	#481	—	3	1	no	—
584	#480	—	3	1	no	—
585	#479	—	3	1	no	—
586	#479	—	3	1	no	—
587	#479	—	3	1	no	—
588	#478	—	3	1	no	—
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	—	3	1	no	—
597	#477	—	3	1	no	—
598	#477	—	3	1	no	—
599	#477	—	3	1	no	—
600	#476	—	3	1	no	—
601	#476	—	3	1	no	—
602	#476	—	3	1	no	—
603	#476	—	3	1	no	—
604	#476	—	3	1	no	—
605	#476	—	3	1	no	—
606	#476	C₂×D₃	1	1	yes	characteristic, complemented
607	#475	—	3	1	no	—
608	#475	—	3	1	no	—
609	#474	—	3	1	no	—
610	#474	—	3	1	no	—
611	#474	—	3	1	no	—
612	#474	—	3	1	no	—
613	#474	—	3	1	no	—
614	#474	C₂×D₃	1	1	yes	characteristic
615	#470	—	3	1	no	—
616	#469	—	3	1	no	—
617	#468	—	3	1	no	—
618	#468	—	3	1	no	—
619	#467	—	3	1	no	—
620	#466	—	3	1	no	—
621	#466	—	3	1	no	—
622	#466	—	3	1	no	—
623	#465	—	3	1	no	—
624	#465	—	3	1	no	—
625	#465	—	3	1	no	—
626	#465	—	3	1	no	—
627	#464	—	3	1	no	—
628	#464	—	3	1	no	—
629	#464	—	3	1	no	—
630	#463	—	3	1	no	—
631	#463	—	3	1	no	—
632	#463	—	3	1	no	—
633	#463	C₂×D₃	1	1	yes	characteristic
634	#463	C₂×D₃	1	1	yes	characteristic, complemented
635	#460	—	3	1	no	—
636	#459	—	3	1	no	—
637	#452	—	3	1	no	—
638	#450	—	3	1	no	—
639	#450	C₂×D₃	1	1	yes	characteristic
640	#449	—	3	1	no	—
641	#447	—	3	1	no	—
642	#447	C₂×D₃	1	1	yes	characteristic
643	#446	—	3	1	no	—
644	#446	—	3	1	no	—
645	#442	—	3	1	no	—
646	#442	—	3	1	no	—
647	#442	C₂×D₃	1	1	yes	characteristic
648	#441	—	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×SD₁₆	—	3	1	no	—
654	C₄×SD₁₆	C₂×D₃	1	1	yes	characteristic
655	C₄×D₈	—	3	1	no	—
656	C₄×D₈	C₂×D₃	1	1	yes	characteristic, complemented
657	#435	—	3	1	no	—
658	#435	—	3	1	no	—
659	#435	—	3	1	no	—
660	#435	—	3	1	no	—
661	C₈×D₄	—	3	1	no	—
662	C₈×D₄	—	3	1	no	—
663	#433	—	3	1	no	—
664	#433	C₂×D₃	1	1	yes	characteristic, complemented
665	#432	—	3	1	no	—
666	#428	—	3	1	no	—
667	#428	—	3	1	no	—
668	#427	—	3	1	no	—
669	#427	—	3	1	no	—
670	#427	—	3	1	no	—
671	#427	—	3	1	no	—
672	#424	—	3	1	no	—
673	#424	—	3	1	no	—
674	C₂×C₄⋊C₈	—	3	1	no	—
675	#418	—	3	1	no	—
676	#418	—	3	1	no	—
677	#416	—	3	1	no	—
678	#416	—	3	1	no	—
679	C₂×#102	—	3	1	no	—
680	C₂×#102	—	3	1	no	—
681	C₂⁴×C₃	—	2	1	no	—
682	C₂³×D₃	—	2	1	no	—
683	C₂×C₃×Q₈	—	2	1	no	—
684	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
685	C₂×C₃×D₄	—	2	2	no	—
686	C₂×C₃×D₄	—	2	1	no	—
687	C₂×C₃×D₄	—	2	1	no	—
688	C₂×C₃×D₄	—	4	1	no	—
689	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
690	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
691	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
692	C₂²×C₃×C₄	—	2	1	no	—
693	C₂²×C₃×C₄	—	2	1	no	—
694	C₂²×C₃×C₄	—	2	1	no	—
695	C₂²×C₃×C₄	—	2	1	no	—
696	C₂²×C₃×C₄	—	2	1	no	—
697	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	C₂×#67	—	2	1	no	—
703	C₂×#67	—	2	1	no	—
704	C₂×#67	—	2	1	no	—
705	C₂×#67	—	2	1	no	—
706	C₂×#67	—	2	1	no	—
707	C₂×#67	—	8	2	no	—
708	C₂×#67	C₂×D₄	1	1	yes	characteristic
709	C₂×#67	C₂×D₄	1	1	yes	characteristic
710	C₂²×Dic₃	—	2	1	no	—
711	C₂²×Dic₃	—	2	1	no	—
712	C₂²×Dic₃	—	2	1	no	—
713	C₂²×Dic₃	—	2	1	no	—
714	C₂²×Dic₃	—	2	1	no	—
715	C₂²×Dic₃	—	2	1	no	—
716	#237	—	2	2	no	—
717	#237	—	4	1	no	—
718	D₃×D₄	—	2	2	no	—
719	D₃×D₄	—	4	1	no	—
720	#235	—	8	2	no	—
721	C₂×D₁₂	—	2	1	no	—
722	C₂×D₁₂	C₂×D₄	1	1	yes	characteristic
723	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
728	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
729	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
730	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
731	C₂×Dic₆	—	2	1	no	—
732	C₂×Dic₆	—	2	1	no	—
733	C₂×Dic₆	—	2	1	no	—
734	C₂×Dic₆	—	2	1	no	—
735	C₂×Dic₆	—	2	1	no	—
736	C₂×Dic₆	—	2	1	no	—
737	C₂×Dic₆	—	8	2	no	—
738	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
739	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
740	C₃×SD₁₆	—	2	2	no	—
741	C₃×SD₁₆	—	4	1	no	—
742	C₃×D₈	—	2	2	no	—
743	C₃×D₈	—	4	1	no	—
744	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
745	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
746	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
747	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
748	C₃×C₄⋊C₄	—	2	1	no	—
749	C₃×C₄⋊C₄	—	2	1	no	—
750	C₃×C₄⋊C₄	—	2	1	no	—
751	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
752	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
753	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
754	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
755	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
756	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
757	C₃×C₂²⋊C₄	—	2	1	no	—
758	C₃×C₂²⋊C₄	—	2	1	no	—
759	C₃×C₂²⋊C₄	—	2	1	no	—
760	C₃×C₂²⋊C₄	—	2	1	no	—
761	C₃×C₂²⋊C₄	—	2	1	no	—
762	C₃×C₂²⋊C₄	—	2	1	no	—
763	C₃×C₂²⋊C₄	—	2	1	no	—
764	C₃×C₂²⋊C₄	—	2	1	no	—
765	C₃×C₂²⋊C₄	—	2	1	no	—
766	C₃×C₂²⋊C₄	—	2	1	no	—
767	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
768	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
769	C₃×C₄²	—	2	1	no	—
770	C₃×C₄²	—	2	1	no	—
771	C₃×C₄²	C₂⁴	1	1	yes	characteristic
772	C₃×C₄²	C₂⁴	1	1	yes	characteristic
773	#217	—	2	1	no	—
774	#217	—	2	1	no	—
775	#217	—	2	1	no	—
776	#217	—	2	1	no	—
777	#217	—	2	1	no	—
778	#217	—	2	1	no	—
779	#217	—	2	1	no	—
780	#217	—	2	1	no	—
781	#217	—	2	1	no	—
782	#217	—	2	1	no	—
783	#217	—	2	1	no	—
784	#217	—	2	1	no	—
785	#217	C₂×D₄	1	1	yes	characteristic
786	#217	C₂×D₄	1	1	yes	characteristic
787	#216	—	4	1	no	—
788	#215	—	4	1	no	—
789	#214	—	4	1	no	—
790	#213	—	4	1	no	—
791	(C₂×D₃)⋊C₄	—	2	1	no	—
792	(C₂×D₃)⋊C₄	—	2	1	no	—
793	(C₂×D₃)⋊C₄	—	2	1	no	—
794	(C₂×D₃)⋊C₄	—	2	1	no	—
795	(C₂×D₃)⋊C₄	—	2	1	no	—
796	(C₂×D₃)⋊C₄	—	2	1	no	—
797	(C₂×D₃)⋊C₄	—	2	1	no	—
798	(C₂×D₃)⋊C₄	—	2	1	no	—
799	(C₂×D₃)⋊C₄	—	2	1	no	—
800	(C₂×D₃)⋊C₄	—	2	1	no	—
801	(C₂×D₃)⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
806	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
807	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
808	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
809	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
810	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
811	C₄⋊Dic₃	—	2	1	no	—
812	C₄⋊Dic₃	—	2	1	no	—
813	C₄⋊Dic₃	—	2	1	no	—
814	C₄⋊Dic₃	—	2	1	no	—
815	C₄⋊Dic₃	—	2	1	no	—
816	C₄⋊Dic₃	—	2	1	no	—
817	C₄⋊Dic₃	—	2	1	no	—
818	C₄⋊Dic₃	—	2	1	no	—
819	C₄⋊Dic₃	—	2	1	no	—
820	C₄⋊Dic₃	—	2	1	no	—
821	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
822	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
823	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
824	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
825	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
826	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
827	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
828	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
829	Dic₃⋊C₄	—	2	1	no	—
830	Dic₃⋊C₄	—	2	1	no	—
831	Dic₃⋊C₄	—	2	1	no	—
832	Dic₃⋊C₄	—	2	1	no	—
833	Dic₃⋊C₄	—	2	1	no	—
834	Dic₃⋊C₄	—	2	1	no	—
835	Dic₃⋊C₄	—	2	1	no	—
836	Dic₃⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
846	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
847	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
848	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
849	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
850	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
851	C₄×Dic₃	—	2	1	no	—
852	C₄×Dic₃	—	2	1	no	—
853	C₄×Dic₃	—	2	1	no	—
854	C₄×Dic₃	—	2	1	no	—
855	C₄×Dic₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
862	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
863	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
864	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
865	#208	—	4	1	no	—
866	C₂×C₃⋊C₈	—	4	1	no	—
867	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
868	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
869	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
870	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
871	ΓL(1,𝔽₂₅)	—	4	1	no	—
872	D₃×C₈	—	4	1	no	—
873	D₃×C₈	—	4	1	no	—
874	D₃×C₈	—	4	1	no	—
875	C₂×#41	—	3	1	no	—
876	C₂×#41	—	6	1	no	—
877	C₂²×Q₈	—	6	1	no	—
878	C₂²×D₄	—	3	1	no	—
879	C₂²×D₄	—	6	1	no	—
880	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
881	C₂×Q₁₆	—	3	1	no	—
882	C₂×SD₁₆	—	3	1	no	—
883	C₂×SD₁₆	—	3	1	no	—
884	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
885	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
886	C₂×D₈	—	3	1	no	—
887	C₂×D₈	C₂²×D₃	1	1	yes	characteristic
888	C₂×D₈	C₂²×D₃	1	1	yes	characteristic
889	C₂×M₁₆	—	3	1	no	—
890	C₂×M₁₆	—	3	1	no	—
891	C₂²×C₈	—	3	1	no	—
892	C₂²×C₈	—	3	1	no	—
893	C₂²×C₈	—	3	1	no	—
894	C₂²×C₈	—	3	1	no	—
895	C₄⋊Q₈	—	3	1	no	—
896	C₄⋊Q₈	—	3	1	no	—
897	C₄⋊Q₈	—	3	1	no	—
898	C₄⋊Q₈	—	3	1	no	—
899	C₄⋊Q₈	—	3	1	no	—
900	C₄⋊Q₈	—	3	1	no	—
901	C₄⋊Q₈	—	6	1	no	—
902	C₄⋊Q₈	—	6	1	no	—
903	C₄⋊Q₈	—	6	1	no	—
904	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
905	#127	—	3	1	no	—
906	#126	—	2	1	no	—
907	#126	—	3	1	no	—
908	#126	—	3	1	no	—
909	#126	—	6	1	no	—
910	#126	—	6	1	no	—
911	#126	—	6	1	no	—
912	#126	—	6	1	no	—
913	#126	—	6	1	no	—
914	#126	—	6	1	no	—
915	#126	—	6	1	no	—
916	#126	—	6	1	no	—
917	#126	—	6	1	no	—
918	#126	—	6	1	no	—
919	#126	—	6	1	no	—
920	#126	—	6	1	no	—
921	#125	—	3	1	no	—
922	#125	—	3	1	no	—
923	#125	—	3	1	no	—
924	#125	—	3	1	no	—
925	#125	—	3	1	no	—
926	#125	—	3	1	no	—
927	#125	—	6	1	no	—
928	#125	—	6	1	no	—
929	#125	—	6	1	no	—
930	#125	—	6	1	no	—
931	#125	—	6	1	no	—
932	#125	—	6	1	no	—
933	#124	—	2	1	no	—
934	#124	—	3	1	no	—
935	#124	—	3	1	no	—
936	#124	—	3	1	no	—
937	#124	—	6	1	no	—
938	#124	—	6	1	no	—
939	#124	—	6	1	no	—
940	#124	—	6	1	no	—
941	#124	—	6	1	no	—
942	#124	—	6	1	no	—
943	#124	—	6	1	no	—
944	#124	—	6	1	no	—
945	#124	—	6	1	no	—
946	#124	—	6	1	no	—
947	#124	—	6	1	no	—
948	#124	—	6	1	no	—
949	#124	—	6	1	no	—
950	#124	C₂²×D₃	1	1	yes	characteristic
951	#123	—	2	1	no	—
952	#123	—	3	1	no	—
953	#123	—	3	1	no	—
954	#123	—	6	1	no	—
955	#123	—	6	1	no	—
956	#123	—	6	1	no	—
957	#123	—	6	1	no	—
958	#123	—	6	1	no	—
959	#123	—	6	1	no	—
960	#123	—	6	1	no	—
961	#123	—	6	1	no	—
962	#123	—	6	1	no	—
963	#123	—	6	1	no	—
964	#123	—	6	1	no	—
965	#123	—	6	1	no	—
966	C₂²⋊Q₈	—	2	1	no	—
967	C₂²⋊Q₈	—	3	1	no	—
968	C₂²⋊Q₈	—	3	1	no	—
969	C₂²⋊Q₈	—	3	1	no	—
970	C₂²⋊Q₈	—	3	1	no	—
971	C₂²⋊Q₈	—	3	1	no	—
972	C₂²⋊Q₈	—	6	1	no	—
973	C₂²⋊Q₈	—	6	1	no	—
974	C₂²⋊Q₈	—	6	1	no	—
975	C₂²⋊Q₈	—	6	1	no	—
976	C₂²⋊Q₈	—	6	1	no	—
977	C₂²⋊Q₈	—	6	1	no	—
978	C₂²⋊Q₈	—	6	1	no	—
979	C₂²⋊Q₈	—	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	C₂²×D₃	1	1	yes	characteristic
988	#121	—	3	1	no	—
989	#121	—	3	1	no	—
990	#121	—	3	1	no	—
991	#121	—	3	1	no	—
992	#121	—	3	1	no	—
993	#121	—	3	1	no	—
994	#121	—	3	1	no	—
995	#121	—	6	1	no	—
996	#121	—	6	1	no	—
997	#121	—	6	1	no	—
998	#121	—	6	1	no	—
999	#121	—	6	1	no	—
1000	#121	—	6	1	no	—
1001	#121	—	6	1	no	—
1002	#121	—	6	1	no	—
1003	#121	—	6	1	no	—
1004	#121	C₂²×D₃	1	1	yes	characteristic
1005	#120	—	6	1	no	—
1006	#120	—	6	1	no	—
1007	#120	—	6	1	no	—
1008	#120	—	6	1	no	—
1009	C₄×Q₈	—	3	1	no	—
1010	C₄×Q₈	—	3	1	no	—
1011	C₄×Q₈	—	3	1	no	—
1012	C₄×Q₈	—	3	1	no	—
1013	C₄×Q₈	—	3	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	C₂²×D₃	1	1	yes	characteristic
1020	C₄×D₄	—	2	1	no	—
1021	C₄×D₄	—	2	1	no	—
1022	C₄×D₄	—	3	1	no	—
1023	C₄×D₄	—	3	1	no	—
1024	C₄×D₄	—	3	1	no	—
1025	C₄×D₄	—	3	1	no	—
1026	C₄×D₄	—	3	1	no	—
1027	C₄×D₄	—	3	1	no	—
1028	C₄×D₄	—	3	1	no	—
1029	C₄×D₄	—	3	1	no	—
1030	C₄×D₄	—	3	1	no	—
1031	C₄×D₄	—	6	1	no	—
1032	C₄×D₄	—	6	1	no	—
1033	C₄×D₄	—	6	1	no	—
1034	C₄×D₄	—	6	1	no	—
1035	C₄×D₄	—	6	1	no	—
1036	C₄×D₄	—	6	1	no	—
1037	C₄×D₄	—	6	1	no	—
1038	C₄×D₄	—	6	1	no	—
1039	C₄×D₄	—	6	1	no	—
1040	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1041	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1042	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1043	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1044	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1045	#117	—	3	1	no	—
1046	#117	—	3	1	no	—
1047	#117	—	3	1	no	—
1048	#117	—	3	1	no	—
1049	#117	—	3	1	no	—
1050	#117	—	3	1	no	—
1051	#117	—	3	1	no	—
1052	#117	—	6	1	no	—
1053	#117	—	6	1	no	—
1054	#117	—	6	1	no	—
1055	#117	—	6	1	no	—
1056	#117	—	6	1	no	—
1057	#117	—	6	1	no	—
1058	#117	—	6	1	no	—
1059	#117	C₂²×D₃	1	1	yes	characteristic
1060	#117	C₂²×D₃	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	—	3	1	no	—
1062	C₂×C₄⋊C₄	—	3	1	no	—
1063	C₂×C₄⋊C₄	—	6	1	no	—
1064	C₂×C₂²⋊C₄	—	2	1	no	—
1065	C₂×C₂²⋊C₄	—	2	1	no	—
1066	C₂×C₂²⋊C₄	—	6	1	no	—
1067	C₂×C₂²⋊C₄	—	6	1	no	—
1068	C₂×C₂²⋊C₄	—	6	1	no	—
1069	C₂×C₂²⋊C₄	—	6	1	no	—
1070	C₂×C₄²	—	3	1	no	—
1071	C₂×C₄²	—	6	1	no	—
1072	#107	—	3	1	no	—
1073	#107	—	3	1	no	—
1074	#107	—	3	1	no	—
1075	#107	—	3	1	no	—
1076	#107	—	3	1	no	—
1077	#107	—	3	1	no	—
1078	#107	—	3	1	no	—
1079	#107	—	3	1	no	—
1080	#107	—	3	1	no	—
1081	#107	—	3	1	no	—
1082	#107	C₂²×D₃	1	1	yes	characteristic
1083	#107	C₂²×D₃	1	1	yes	characteristic
1084	#106	—	3	1	no	—
1085	#106	—	3	1	no	—
1086	#106	—	3	1	no	—
1087	#106	—	3	1	no	—
1088	#106	—	3	1	no	—
1089	#106	—	3	1	no	—
1090	#106	—	3	1	no	—
1091	#106	—	3	1	no	—
1092	#106	—	3	1	no	—
1093	#106	—	3	1	no	—
1094	#106	C₂²×D₃	1	1	yes	characteristic
1095	#106	C₂²×D₃	1	1	yes	characteristic
1096	C₄⋊C₈	—	3	1	no	—
1097	C₄⋊C₈	—	3	1	no	—
1098	C₄⋊C₈	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
1105	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1106	#103	—	3	1	no	—
1107	#103	—	3	1	no	—
1108	#103	—	3	1	no	—
1109	#103	—	3	1	no	—
1110	#103	—	3	1	no	—
1111	#103	—	3	1	no	—
1112	#103	—	3	1	no	—
1113	#103	—	3	1	no	—
1114	#103	C₂²×D₃	1	1	yes	characteristic
1115	#103	C₂²×D₃	1	1	yes	characteristic
1116	#102	—	3	1	no	—
1117	#102	—	3	1	no	—
1118	#102	—	3	1	no	—
1119	#102	—	3	1	no	—
1120	#102	—	3	1	no	—
1121	#102	—	3	1	no	—
1122	#102	—	3	1	no	—
1123	#102	—	3	1	no	—
1124	#102	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
1133	#102	C₂²×D₃	1	1	yes	characteristic
1134	#102	C₂²×D₃	1	1	yes	characteristic
1135	#102	C₂²×D₃	1	1	yes	characteristic
1136	#102	C₂²×D₃	1	1	yes	characteristic
1137	#102	C₂²×D₃	1	1	yes	characteristic
1138	C₂²⋊C₈	—	3	1	no	—
1139	C₂²⋊C₈	—	3	1	no	—
1140	C₂²⋊C₈	—	3	1	no	—
1141	C₂²⋊C₈	—	3	1	no	—
1142	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1143	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1144	#97	—	3	1	no	—
1145	#97	—	3	1	no	—
1146	#97	—	3	1	no	—
1147	#97	C₂²×D₃	1	1	yes	characteristic
1148	C₄×C₈	—	3	1	no	—
1149	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1150	C₂³×C₃	—	2	1	no	—
1151	C₂³×C₃	—	2	1	no	—
1152	C₂³×C₃	—	2	1	no	—
1153	C₂³×C₃	—	4	2	no	—
1154	C₂³×C₃	—	8	1	no	—
1155	C₂³×C₃	—	8	1	no	—
1156	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1157	C₂²×D₃	—	2	1	no	—
1158	C₂²×D₃	—	4	2	no	—
1159	C₂²×D₃	—	8	1	no	—
1160	C₂²×D₃	—	8	1	no	—
1161	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1162	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1163	C₃×Q₈	—	2	1	no	—
1164	C₃×Q₈	—	2	1	no	—
1165	C₃×Q₈	—	8	1	no	—
1166	C₃×D₄	—	2	1	no	—
1167	C₃×D₄	—	2	1	no	—
1168	C₃×D₄	—	2	1	no	—
1169	C₃×D₄	—	2	1	no	—
1170	C₃×D₄	—	2	1	no	—
1171	C₃×D₄	—	4	2	no	—
1172	C₃×D₄	—	8	1	no	—
1173	C₃×D₄	2₋¹⁺⁴	1	2	yes	—
1174	C₂×C₃×C₄	—	2	1	no	—
1175	C₂×C₃×C₄	—	2	1	no	—
1176	C₂×C₃×C₄	—	2	1	no	—
1177	C₂×C₃×C₄	—	2	1	no	—
1178	C₂×C₃×C₄	—	2	1	no	—
1179	C₂×C₃×C₄	—	2	1	no	—
1180	C₂×C₃×C₄	—	2	1	no	—
1181	C₂×C₃×C₄	—	8	1	no	—
1182	C₂×C₃×C₄	—	8	1	no	—
1183	C₂×C₃×C₄	—	8	1	no	—
1184	C₂×C₃×C₄	—	8	1	no	—
1185	C₂×C₃×C₄	—	8	1	no	—
1186	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1187	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1188	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1189	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1190	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1191	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1192	#67	—	4	1	no	—
1193	#67	—	4	1	no	—
1194	#67	—	4	2	no	—
1195	#67	—	4	2	no	—
1196	#67	—	4	2	no	—
1197	#67	—	8	1	no	—
1198	#67	—	8	1	no	—
1199	#67	—	8	1	no	—
1200	#67	—	8	1	no	—
1201	#67	—	8	1	no	—
1202	#67	—	8	1	no	—
1203	C₂×Dic₃	—	2	1	no	—
1204	C₂×Dic₃	—	2	1	no	—
1205	C₂×Dic₃	—	2	1	no	—
1206	C₂×Dic₃	—	2	1	no	—
1207	C₂×Dic₃	—	2	1	no	—
1208	C₂×Dic₃	—	2	1	no	—
1209	C₂×Dic₃	—	2	1	no	—
1210	C₂×Dic₃	—	4	2	no	—
1211	C₂×Dic₃	—	4	2	no	—
1212	C₂×Dic₃	—	8	1	no	—
1213	C₂×Dic₃	—	8	1	no	—
1214	C₂×Dic₃	—	8	1	no	—
1215	C₂×Dic₃	—	8	1	no	—
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	1	no	—
1223	D₁₂	—	2	1	no	—
1224	D₁₂	—	4	1	no	—
1225	D₁₂	—	8	1	no	—
1226	C₄×D₃	—	2	1	no	—
1227	C₄×D₃	—	2	1	no	—
1228	C₄×D₃	—	2	1	no	—
1229	C₄×D₃	—	2	1	no	—
1230	C₄×D₃	—	4	1	no	—
1231	C₄×D₃	—	4	1	no	—
1232	C₄×D₃	—	8	1	no	—
1233	C₄×D₃	—	8	1	no	—
1234	C₄×D₃	—	8	1	no	—
1235	Dic₆	—	2	1	no	—
1236	Dic₆	—	2	1	no	—
1237	Dic₆	—	4	1	no	—
1238	Dic₆	—	4	2	no	—
1239	Dic₆	—	8	1	no	—
1240	Dic₆	—	8	1	no	—
1241	Dic₆	—	8	1	no	—
1242	Dic₆	—	8	1	no	—
1243	Dic₆	—	8	1	no	—
1244	C₃×C₈	—	2	1	no	—
1245	C₃×C₈	—	2	1	no	—
1246	C₃×C₈	—	2	1	no	—
1247	C₃×C₈	—	2	1	no	—
1248	C₃⋊C₈	—	2	1	no	—
1249	C₃⋊C₈	—	2	1	no	—
1250	C₃⋊C₈	—	2	1	no	—
1251	C₃⋊C₈	—	2	1	no	—
1252	C₂⁴	—	2	1	no	—
1253	C₂⁴	—	6	1	no	—
1254	#41	—	6	2	no	—
1255	#41	—	12	1	no	—
1256	#41	—	24	2	no	—
1257	C₂×Q₈	—	2	1	no	—
1258	C₂×Q₈	—	3	1	no	—
1259	C₂×Q₈	—	3	1	no	—
1260	C₂×Q₈	—	6	1	no	—
1261	C₂×Q₈	—	6	1	no	—
1262	C₂×Q₈	—	6	1	no	—
1263	C₂×Q₈	—	6	1	no	—
1264	C₂×Q₈	—	6	1	no	—
1265	C₂×Q₈	—	6	1	no	—
1266	C₂×Q₈	—	24	2	no	—
1267	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1268	C₂×D₄	—	2	2	no	—
1269	C₂×D₄	—	2	1	no	—
1270	C₂×D₄	—	2	1	no	—
1271	C₂×D₄	—	3	1	no	—
1272	C₂×D₄	—	3	1	no	—
1273	C₂×D₄	—	3	1	no	—
1274	C₂×D₄	—	3	1	no	—
1275	C₂×D₄	—	4	1	no	—
1276	C₂×D₄	—	6	1	no	—
1277	C₂×D₄	—	6	1	no	—
1278	C₂×D₄	—	6	1	no	—
1279	C₂×D₄	—	6	1	no	—
1280	C₂×D₄	—	6	2	no	—
1281	C₂×D₄	—	6	1	no	—
1282	C₂×D₄	—	6	1	no	—
1283	C₂×D₄	—	6	1	no	—
1284	C₂×D₄	—	6	1	no	—
1285	C₂×D₄	—	6	1	no	—
1286	C₂×D₄	—	6	1	no	—
1287	C₂×D₄	—	12	1	no	—
1288	C₂×D₄	—	24	2	no	—
1289	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1290	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1291	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1292	C₂²×C₄	—	2	1	no	—
1293	C₂²×C₄	—	2	1	no	—
1294	C₂²×C₄	—	2	1	no	—
1295	C₂²×C₄	—	2	1	no	—
1296	C₂²×C₄	—	2	1	no	—
1297	C₂²×C₄	—	3	1	no	—
1298	C₂²×C₄	—	3	1	no	—
1299	C₂²×C₄	—	3	1	no	—
1300	C₂²×C₄	—	3	1	no	—
1301	C₂²×C₄	—	6	1	no	—
1302	C₂²×C₄	—	6	1	no	—
1303	C₂²×C₄	—	6	1	no	—
1304	C₂²×C₄	—	6	1	no	—
1305	C₂²×C₄	—	6	1	no	—
1306	C₂²×C₄	—	6	1	no	—
1307	C₂²×C₄	—	6	1	no	—
1308	C₂²×C₄	—	6	1	no	—
1309	C₂²×C₄	—	6	1	no	—
1310	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1311	Q₁₆	—	12	1	no	—
1312	SD₁₆	—	2	2	no	—
1313	SD₁₆	—	4	1	no	—
1314	SD₁₆	—	12	1	no	—
1315	SD₁₆	—	12	1	no	—
1316	D₈	—	2	2	no	—
1317	D₈	—	4	1	no	—
1318	D₈	—	12	1	no	—
1319	M₁₆	—	12	1	no	—
1320	M₁₆	—	12	1	no	—
1321	C₂×C₈	—	3	1	no	—
1322	C₂×C₈	—	3	1	no	—
1323	C₂×C₈	—	3	1	no	—
1324	C₂×C₈	—	3	1	no	—
1325	C₂×C₈	—	12	1	no	—
1326	C₂×C₈	—	12	1	no	—
1327	C₂×C₈	—	12	1	no	—
1328	C₂×C₈	—	12	1	no	—
1329	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1330	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1331	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1332	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	3	1	no	—
1337	C₄⋊C₄	—	3	1	no	—
1338	C₄⋊C₄	—	3	1	no	—
1339	C₄⋊C₄	—	3	1	no	—
1340	C₄⋊C₄	—	3	1	no	—
1341	C₄⋊C₄	—	3	1	no	—
1342	C₄⋊C₄	—	3	1	no	—
1343	C₄⋊C₄	—	3	1	no	—
1344	C₄⋊C₄	—	3	1	no	—
1345	C₄⋊C₄	—	3	1	no	—
1346	C₄⋊C₄	—	3	1	no	—
1347	C₄⋊C₄	—	3	1	no	—
1348	C₄⋊C₄	—	3	1	no	—
1349	C₄⋊C₄	—	3	1	no	—
1350	C₄⋊C₄	—	6	1	no	—
1351	C₄⋊C₄	—	6	1	no	—
1352	C₄⋊C₄	—	6	1	no	—
1353	C₄⋊C₄	—	6	1	no	—
1354	C₄⋊C₄	—	6	1	no	—
1355	C₄⋊C₄	—	6	1	no	—
1356	C₄⋊C₄	—	6	1	no	—
1357	C₄⋊C₄	—	6	1	no	—
1358	C₄⋊C₄	—	6	1	no	—
1359	C₄⋊C₄	—	6	1	no	—
1360	C₄⋊C₄	—	6	1	no	—
1361	C₄⋊C₄	—	6	1	no	—
1362	C₄⋊C₄	—	6	1	no	—
1363	C₄⋊C₄	—	6	1	no	—
1364	C₄⋊C₄	—	6	1	no	—
1365	C₄⋊C₄	—	6	1	no	—
1366	C₄⋊C₄	—	6	1	no	—
1367	C₄⋊C₄	—	6	1	no	—
1368	C₄⋊C₄	—	6	1	no	—
1369	C₄⋊C₄	—	6	1	no	—
1370	C₄⋊C₄	—	6	1	no	—
1371	C₄⋊C₄	—	6	1	no	—
1372	C₄⋊C₄	—	6	1	no	—
1373	C₄⋊C₄	—	6	1	no	—
1374	C₄⋊C₄	—	6	1	no	—
1375	C₄⋊C₄	—	6	1	no	—
1376	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1377	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1378	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1379	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1380	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1381	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1382	C₂²⋊C₄	—	2	1	no	—
1383	C₂²⋊C₄	—	2	1	no	—
1384	C₂²⋊C₄	—	2	1	no	—
1385	C₂²⋊C₄	—	2	1	no	—
1386	C₂²⋊C₄	—	2	1	no	—
1387	C₂²⋊C₄	—	2	1	no	—
1388	C₂²⋊C₄	—	2	1	no	—
1389	C₂²⋊C₄	—	2	1	no	—
1390	C₂²⋊C₄	—	2	1	no	—
1391	C₂²⋊C₄	—	2	1	no	—
1392	C₂²⋊C₄	—	3	1	no	—
1393	C₂²⋊C₄	—	3	1	no	—
1394	C₂²⋊C₄	—	3	1	no	—
1395	C₂²⋊C₄	—	3	1	no	—
1396	C₂²⋊C₄	—	3	1	no	—
1397	C₂²⋊C₄	—	3	1	no	—
1398	C₂²⋊C₄	—	3	1	no	—
1399	C₂²⋊C₄	—	3	1	no	—
1400	C₂²⋊C₄	—	6	1	no	—
1401	C₂²⋊C₄	—	6	1	no	—
1402	C₂²⋊C₄	—	6	1	no	—
1403	C₂²⋊C₄	—	6	1	no	—
1404	C₂²⋊C₄	—	6	1	no	—
1405	C₂²⋊C₄	—	6	1	no	—
1406	C₂²⋊C₄	—	6	1	no	—
1407	C₂²⋊C₄	—	6	1	no	—
1408	C₂²⋊C₄	—	6	1	no	—
1409	C₂²⋊C₄	—	6	1	no	—
1410	C₂²⋊C₄	—	6	1	no	—
1411	C₂²⋊C₄	—	6	1	no	—
1412	C₂²⋊C₄	—	6	1	no	—
1413	C₂²⋊C₄	—	6	1	no	—
1414	C₂²⋊C₄	—	6	1	no	—
1415	C₂²⋊C₄	—	6	1	no	—
1416	C₂²⋊C₄	—	6	1	no	—
1417	C₂²⋊C₄	—	6	1	no	—
1418	C₂²⋊C₄	—	6	1	no	—
1419	C₂²⋊C₄	—	6	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	D₃×D₄	1	1	yes	characteristic
1427	C₂²⋊C₄	D₃×D₄	1	1	yes	characteristic
1428	C₄²	—	2	1	no	—
1429	C₄²	—	2	1	no	—
1430	C₄²	—	3	1	no	—
1431	C₄²	—	3	1	no	—
1432	C₄²	—	3	1	no	—
1433	C₄²	—	3	1	no	—
1434	C₄²	—	6	1	no	—
1435	C₄²	—	6	1	no	—
1436	C₄²	—	6	1	no	—
1437	C₄²	—	6	1	no	—
1438	C₄²	—	6	1	no	—
1439	C₄²	—	6	1	no	—
1440	C₄²	—	6	1	no	—
1441	C₄²	—	6	1	no	—
1442	C₄²	—	6	1	no	—
1443	C₄²	—	6	1	no	—
1444	C₄²	C₂³×D₃	1	1	yes	characteristic
1445	C₄²	C₂³×D₃	1	1	yes	characteristic
1446	C₂²×C₃	—	2	1	no	—
1447	C₂²×C₃	—	2	1	no	—
1448	C₂²×C₃	—	2	2	no	—
1449	C₂²×C₃	—	2	1	no	—
1450	C₂²×C₃	—	4	1	no	—
1451	C₂²×C₃	—	4	1	no	—
1452	C₂²×C₃	—	4	1	no	—
1453	C₂²×C₃	—	4	1	no	—
1454	C₂²×C₃	—	4	1	no	—
1455	C₂²×C₃	—	4	1	no	—
1456	C₂²×C₃	—	4	1	no	—
1457	C₂²×C₃	—	4	1	no	—
1458	C₂²×C₃	—	16	2	no	—
1459	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1460	C₂×D₃	—	2	1	no	—
1461	C₂×D₃	—	2	1	no	—
1462	C₂×D₃	—	2	1	no	—
1463	C₂×D₃	—	2	1	no	—
1464	C₂×D₃	—	2	1	no	—
1465	C₂×D₃	—	2	1	no	—
1466	C₂×D₃	—	4	1	no	—
1467	C₂×D₃	—	4	1	no	—
1468	C₂×D₃	—	4	1	no	—
1469	C₂×D₃	—	16	2	no	—
1470	C₃×C₄	—	2	1	no	—
1471	C₃×C₄	—	2	1	no	—
1472	C₃×C₄	—	2	1	no	—
1473	C₃×C₄	—	2	1	no	—
1474	C₃×C₄	—	2	1	no	—
1475	C₃×C₄	—	4	1	no	—
1476	C₃×C₄	—	4	1	no	—
1477	C₃×C₄	—	4	1	no	—
1478	C₃×C₄	—	4	1	no	—
1479	C₃×C₄	—	4	1	no	—
1480	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1481	C₃×C₄	#585	1	1	yes	characteristic
1482	Dic₃	—	2	1	no	—
1483	Dic₃	—	2	1	no	—
1484	Dic₃	—	2	1	no	—
1485	Dic₃	—	2	1	no	—
1486	Dic₃	—	2	1	no	—
1487	Dic₃	—	2	1	no	—
1488	Dic₃	—	4	1	no	—
1489	Dic₃	—	4	1	no	—
1490	Dic₃	—	4	1	no	—
1491	Dic₃	—	4	1	no	—
1492	Dic₃	—	4	1	no	—
1493	Dic₃	—	4	1	no	—
1494	Dic₃	—	4	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	3	1	no	—
1499	C₂³	—	3	1	no	—
1500	C₂³	—	4	2	no	—
1501	C₂³	—	6	1	no	—
1502	C₂³	—	8	1	no	—
1503	C₂³	—	8	1	no	—
1504	C₂³	—	12	2	no	—
1505	C₂³	—	24	1	no	—
1506	C₂³	—	24	1	no	—
1507	C₂³	C₂×D₃×D₄	1	1	yes	characteristic
1508	Q₈	—	2	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	6	1	no	—
1511	Q₈	—	6	1	no	—
1512	Q₈	—	8	1	no	—
1513	Q₈	—	12	1	no	—
1514	Q₈	—	12	2	no	—
1515	Q₈	—	24	1	no	—
1516	Q₈	—	24	1	no	—
1517	Q₈	—	24	1	no	—
1518	Q₈	—	24	1	no	—
1519	Q₈	—	24	1	no	—
1520	D₄	—	2	1	no	—
1521	D₄	—	2	1	no	—
1522	D₄	—	2	1	no	—
1523	D₄	—	2	1	no	—
1524	D₄	—	2	1	no	—
1525	D₄	—	4	2	no	—
1526	D₄	—	6	1	no	—
1527	D₄	—	6	1	no	—
1528	D₄	—	8	1	no	—
1529	D₄	—	12	1	no	—
1530	D₄	—	12	1	no	—
1531	D₄	—	12	1	no	—
1532	D₄	—	12	2	no	—
1533	D₄	—	12	2	no	—
1534	D₄	—	12	2	no	—
1535	D₄	—	24	1	no	—
1536	D₄	—	24	1	no	—
1537	D₄	—	24	1	no	—
1538	D₄	—	24	1	no	—
1539	D₄	—	24	1	no	—
1540	D₄	—	24	1	no	—
1541	D₄	—	24	1	no	—
1542	D₄	#1010	1	2	yes	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	3	1	no	—
1551	C₂×C₄	—	3	1	no	—
1552	C₂×C₄	—	3	1	no	—
1553	C₂×C₄	—	3	1	no	—
1554	C₂×C₄	—	3	1	no	—
1555	C₂×C₄	—	3	1	no	—
1556	C₂×C₄	—	6	1	no	—
1557	C₂×C₄	—	6	1	no	—
1558	C₂×C₄	—	6	1	no	—
1559	C₂×C₄	—	6	1	no	—
1560	C₂×C₄	—	6	1	no	—
1561	C₂×C₄	—	6	1	no	—
1562	C₂×C₄	—	6	1	no	—
1563	C₂×C₄	—	6	1	no	—
1564	C₂×C₄	—	6	1	no	—
1565	C₂×C₄	—	6	1	no	—
1566	C₂×C₄	—	6	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	12	1	no	—
1573	C₂×C₄	—	12	1	no	—
1574	C₂×C₄	—	12	2	no	—
1575	C₂×C₄	—	12	2	no	—
1576	C₂×C₄	—	24	1	no	—
1577	C₂×C₄	—	24	1	no	—
1578	C₂×C₄	—	24	1	no	—
1579	C₂×C₄	—	24	1	no	—
1580	C₂×C₄	—	24	1	no	—
1581	C₂×C₄	—	24	1	no	—
1582	C₂×C₄	—	24	1	no	—
1583	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1584	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1585	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1586	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1587	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1588	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₈	—	6	1	no	—
1594	C₈	—	6	1	no	—
1595	C₈	—	6	1	no	—
1596	C₈	—	6	1	no	—
1597	C₂×C₃	—	4	2	no	—
1598	C₂×C₃	—	4	1	no	—
1599	C₂×C₃	—	8	1	no	—
1600	C₂×C₃	—	8	1	no	—
1601	C₂×C₃	#3489	1	1	yes	characteristic
1602	C₂×C₃	#3584	1	1	yes	characteristic
1603	C₂×C₃	#3585	1	1	yes	characteristic
1604	D₃	—	4	1	no	—
1605	D₃	—	4	1	no	—
1606	D₃	—	8	1	no	—
1607	C₂²	—	2	1	no	—
1608	C₂²	—	2	2	no	—
1609	C₂²	—	2	1	no	—
1610	C₂²	—	2	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	6	1	no	—
1620	C₂²	—	6	1	no	—
1621	C₂²	—	6	1	no	—
1622	C₂²	—	6	1	no	—
1623	C₂²	—	6	1	no	—
1624	C₂²	—	6	1	no	—
1625	C₂²	—	12	1	no	—
1626	C₂²	—	12	1	no	—
1627	C₂²	—	12	1	no	—
1628	C₂²	—	16	2	no	—
1629	C₂²	—	48	2	no	—
1630	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	6	1	no	—
1642	C₄	—	6	1	no	—
1643	C₄	—	6	1	no	—
1644	C₄	—	6	1	no	—
1645	C₄	—	6	1	no	—
1646	C₄	—	6	1	no	—
1647	C₄	—	12	1	no	—
1648	C₄	—	12	1	no	—
1649	C₄	—	12	1	no	—
1650	C₄	—	12	1	no	—
1651	C₄	—	12	1	no	—
1652	C₄	—	12	1	no	—
1653	C₄	—	12	1	no	—
1654	C₄	C₂×#1010	1	1	yes	characteristic
1655	C₄	#5964	1	1	yes	characteristic
1656	C₃	#62159	1	1	yes	characteristic, complemented, Sylow
1657	C₂	—	4	1	no	—
1658	C₂	—	4	2	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	12	1	no	—
1662	C₂	—	12	1	no	—
1663	C₂	—	24	1	no	—
1664	C₂	#86042	1	1	yes	characteristic
1665	C₂	#87203	1	1	yes	characteristic
1666	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×#3118	C₂
socle	C₂²×C₃	C₂³×D₄
hypercenter	#3118	D₃
hypocenter	C₃	#62159
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3118

Complements

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

N	H ≅ G/N	type
1. #86541	C₂	semidirect
2. #85864	C₂	semidirect
3. C₃×#3118	C₂	semidirect
4. #83469	C₂	semidirect
5. #82539	C₂	semidirect
6. #81539	C₂	semidirect
7. #81532	C₂	semidirect
8. #81394	C₂	semidirect
9. #81393	C₂	semidirect
10. #81069	C₂	semidirect
11. #81066	C₂	semidirect
12. #80967	C₂	semidirect
13. #80964	C₂	semidirect
14. #80550	C₂	semidirect
15. #80512	C₂	semidirect
16. #80508	C₂	semidirect
17. #80506	C₂	semidirect
18. #80162	C₂	semidirect
19. #80160	C₂	semidirect
20. #80018	C₂	semidirect
21. #80015	C₂	semidirect
22. #79883	C₂	semidirect
23. #79855	C₂	semidirect
24. #79808	C₂	semidirect
25. #79754	C₂	semidirect
26. #79677	C₂	semidirect
27. #79635	C₂	semidirect
28. #79616	C₂	semidirect
29. #79572	C₂	semidirect
30. #79379	C₂	semidirect
31. #79364	C₂	semidirect
33. C₃×#542	C₂²	semidirect
37. #5729	C₂²	semidirect
38. #5728	C₂²	semidirect
42. #5682	C₂²	semidirect
43. #5680	C₂²	semidirect
49. #5641	C₂²	semidirect
51. #5618	C₂²	semidirect
53. #5581	C₂²	semidirect
54. #5570	C₂²	semidirect
56. #5563	C₂²	semidirect
65. #5539	C₂²	semidirect
73. #5519	C₂²	semidirect
78. C₃×#485	C₂²	semidirect
79. C₃×#482	C₂²	semidirect
80. C₃×#476	C₂²	semidirect
83. C₃×#463	C₂²	semidirect
87. C₃×#440	C₂²	semidirect
89. C₃×C₄×D₈	C₂²	semidirect
90. C₃×#433	C₂²	semidirect
95. #5171	C₂²	semidirect
97. #5166	C₂²	semidirect
103. #5157	C₂²	semidirect
105. #5153	C₂²	semidirect
109. #5094	C₂²	semidirect
110. #5084	C₂²	semidirect
111. #5057	C₂²	semidirect
112. #5054	C₂²	semidirect
113. #5052	C₂²	semidirect
115. #5041	C₂²	semidirect
117. #5028	C₂²	semidirect
118. #5020	C₂²	semidirect
119. #5016	C₂²	semidirect
122. #5009	C₂²	semidirect
123. #5009	C₂²	semidirect
125. #5008	C₂²	semidirect
126. #5008	C₂²	semidirect
128. #5007	C₂²	semidirect
129. #4999	C₂²	semidirect
130. #4998	C₂²	semidirect
131. #4995	C₂²	semidirect
132. #4891	C₂²	semidirect
133. #4890	C₂²	semidirect
134. #4881	C₂²	semidirect
135. #4880	C₂²	semidirect
136. #4880	C₂²	semidirect
137. #4880	C₂²	semidirect
138. #4877	C₂²	semidirect
139. #4877	C₂²	semidirect
140. #4868	C₂²	semidirect
141. #4866	C₂²	semidirect
142. #4866	C₂²	semidirect
143. #4862	C₂²	semidirect
144. #4856	C₂²	semidirect
145. #4856	C₂²	semidirect
146. #4856	C₂²	semidirect
147. #4855	C₂²	semidirect
148. #4850	C₂²	semidirect
149. #4847	C₂²	semidirect
150. #4846	C₂²	semidirect
151. #4840	C₂²	semidirect
152. #4839	C₂²	semidirect
153. #4835	C₂²	semidirect
154. D₃×C₄⋊C₈	C₂²	semidirect
155. #4829	C₂²	semidirect
156. #4815	C₂²	semidirect
157. #4814	C₂²	semidirect
158. #4813	C₂²	semidirect
159. #4807	C₂²	semidirect
160. #4793	C₂²	semidirect
161. #4793	C₂²	semidirect
162. #4789	C₂²	semidirect
163. #4788	C₂²	semidirect
164. #4785	C₂²	semidirect
166. #4784	C₂²	semidirect
167. #4784	C₂²	semidirect
168. #4784	C₂²	semidirect
169. #4784	C₂²	semidirect
170. #4780	C₂²	semidirect
172. #4775	C₂²	semidirect
177. #4768	C₂²	semidirect
181. #4765	C₂²	semidirect
185. #4761	C₂²	semidirect
186. #4759	C₂²	semidirect
187. #4757	C₂²	semidirect
192. #4728	C₂²	semidirect
193. #67⋊C₈	C₂²	semidirect
194. #4723	C₂²	semidirect
195. #4722	C₂²	semidirect
196. #4714	C₂²	semidirect
197. #4706	C₂²	semidirect
198. #4702	C₂²	semidirect
199. #4701	C₂²	semidirect
200. #4697	C₂²	semidirect
201. C₈×D₁₂	C₂²	semidirect
202. #4682	C₂²	semidirect
203. #4679	C₂²	semidirect
229. #3118	D₃	semidirect
541. #542	C₂×D₃	semidirect
571. #485	C₂×D₃	semidirect
582. #482	C₂×D₃	semidirect
606. #476	C₂×D₃	semidirect
634. #463	C₂×D₃	semidirect
652. #440	C₂×D₃	semidirect
656. C₄×D₈	C₂×D₃	semidirect
664. #433	C₂×D₃	semidirect
1656. C₃	#62159	semidirect

Maximal subgroups

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

subgroup	index
#86541	2
#85864	2
C₃×#3118	2
#83469	2
#82539	2
#81539	2
#81532	2
#81394	2
#81393	2
#81069	2
#81066	2
#80967	2
#80964	2
#80550	2
#80512	2
#80508	2
#80506	2
#80162	2
#80160	2
#80018	2
#80015	2
#79883	2
#79855	2
#79808	2
#79754	2
#79677	2
#79635	2
#79616	2
#79572	2
#79379	2
#79364	2
#62159	3