Subgroups — #11664064

Order 768.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86157	C₂	1	1	yes	maximal, characteristic, complemented
2	#85834	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
4	#83140	C₂	1	1	yes	maximal, characteristic, complemented
5	#82534	C₂	1	1	yes	maximal, characteristic, complemented
6	D₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
7	#81495	C₂	1	1	yes	maximal, characteristic, complemented
8	#81372	C₂	1	1	yes	maximal, characteristic, complemented
9	#81348	C₂	1	1	yes	maximal, characteristic, complemented
10	#81235	C₂	1	1	yes	maximal, characteristic, complemented
11	#81211	C₂	1	1	yes	maximal, characteristic, complemented
12	#81170	C₂	1	1	yes	maximal, characteristic, complemented
13	#81147	C₂	1	1	yes	maximal, characteristic, complemented
14	#80603	C₂	1	1	yes	maximal, characteristic, complemented
15	#80573	C₂	1	1	yes	maximal, characteristic, complemented
16	#80539	C₂	1	1	yes	maximal, characteristic, complemented
17	#80509	C₂	1	1	yes	maximal, characteristic, complemented
18	#80228	C₂	1	1	yes	maximal, characteristic, complemented
19	#80213	C₂	1	1	yes	maximal, characteristic, complemented
20	#80082	C₂	1	1	yes	maximal, characteristic
21	#80070	C₂	1	1	yes	maximal, characteristic, complemented
22	#79886	C₂	1	1	yes	maximal, characteristic, complemented
23	#79868	C₂	1	1	yes	maximal, characteristic, complemented
24	#79836	C₂	1	1	yes	maximal, characteristic, complemented
25	#79830	C₂	1	1	yes	maximal, characteristic, complemented
26	#79814	C₂	1	1	yes	maximal, characteristic, complemented
27	#79787	C₂	1	1	yes	maximal, characteristic, complemented
28	#79778	C₂	1	1	yes	maximal, characteristic, complemented
29	#79776	C₂	1	1	yes	maximal, characteristic, complemented
30	#79348	C₂	1	1	yes	maximal, characteristic, complemented
31	#79333	C₂	1	1	yes	maximal, characteristic, complemented
32	#60586	—	3	1	no	maximal, Sylow
33	C₂×D₃×#41	C₂²	1	1	yes	characteristic
34	C₃×#529	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₄×#41	C₂²	1	1	yes	characteristic
36	Dic₃×#41	C₂²	1	1	yes	characteristic
37	C₂×#918	C₂²	1	1	yes	characteristic
38	C₂×#916	C₂²	1	1	yes	characteristic
39	C₂×#915	C₂²	1	1	yes	characteristic
40	C₂×#912	C₂²	1	1	yes	characteristic
41	#5708	—	2	1	no	—
42	#5702	—	2	1	no	—
43	#5698	C₂²	1	1	yes	characteristic
44	#5689	C₂²	1	1	yes	characteristic, complemented
45	#5682	C₂²	1	1	yes	characteristic
46	#5675	C₂²	1	1	yes	characteristic, complemented
47	#5658	—	2	1	no	—
48	#5650	—	2	1	no	—
49	D₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
50	#5622	C₂²	1	1	yes	characteristic, complemented
51	#5606	C₂²	1	1	yes	characteristic
52	#5600	C₂²	1	1	yes	characteristic, complemented
53	#5583	C₂²	1	1	yes	characteristic
54	#5574	C₂²	1	1	yes	characteristic
55	#5574	C₂²	1	1	yes	characteristic
56	#5572	C₂²	1	1	yes	characteristic
57	#5572	C₂²	1	1	yes	characteristic
58	#5572	C₂²	1	1	yes	characteristic, complemented
59	#5561	C₂²	1	1	yes	characteristic
60	#5556	—	2	1	no	—
61	#5546	—	2	1	no	—
62	#5546	—	2	1	no	—
63	#5546	C₂²	1	1	yes	characteristic
64	#5546	C₂²	1	1	yes	characteristic
65	#5546	C₂²	1	1	yes	characteristic, complemented
66	#5545	—	2	1	no	—
67	#5545	—	2	1	no	—
68	#5545	C₂²	1	1	yes	characteristic
69	#5545	C₂²	1	1	yes	characteristic
70	#5539	—	2	1	no	—
71	#5531	—	2	1	no	—
72	#5529	—	2	1	no	—
73	#5522	—	2	1	no	—
74	#5522	C₂²	1	1	yes	characteristic
75	D₃×#117	—	2	1	no	—
76	D₃×#117	C₂²	1	1	yes	characteristic
77	C₄×#235	—	2	1	no	—
78	C₄×#235	C₂²	1	1	yes	characteristic
79	C₂×#872	—	2	1	no	—
80	C₂×#872	C₂²	1	1	yes	characteristic
81	#5470	C₂²	1	1	yes	characteristic, complemented
82	C₃×#485	C₂²	1	1	yes	characteristic, complemented
83	C₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₃×#479	C₂²	1	1	yes	characteristic, complemented
85	C₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₃×#464	C₂²	1	1	yes	characteristic, complemented
87	C₃×#463	C₂²	1	1	yes	characteristic, complemented
88	C₃×#452	C₂²	1	1	yes	characteristic
89	C₃×#449	C₂²	1	1	yes	characteristic
90	C₃×#442	C₂²	1	1	yes	characteristic, complemented
91	C₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₃×#440	C₂²	1	1	yes	characteristic, complemented
93	C₃×#440	C₂²	1	1	yes	characteristic, complemented
94	C₃×#432	C₂²	1	1	yes	characteristic, complemented
95	#5239	C₂²	1	1	yes	characteristic
96	#5239	C₂²	1	1	yes	characteristic
97	#5186	C₂²	1	1	yes	characteristic
98	#5182	C₂²	1	1	yes	characteristic, complemented
99	Dic₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
100	#5170	C₂²	1	1	yes	characteristic
101	#5169	C₂²	1	1	yes	characteristic
102	#5166	C₂²	1	1	yes	characteristic, complemented
103	#5164	C₂²	1	1	yes	characteristic, complemented
104	#5162	C₂²	1	1	yes	characteristic, complemented
105	Dic₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
106	#5156	C₂²	1	1	yes	characteristic
107	#5153	C₂²	1	1	yes	characteristic, complemented
108	#5152	C₂²	1	1	yes	characteristic, complemented
109	#5066	C₂²	1	1	yes	characteristic, complemented
110	#5063	C₂²	1	1	yes	characteristic, complemented
111	#5057	C₂²	1	1	yes	characteristic, complemented
112	#5054	C₂²	1	1	yes	characteristic, complemented
113	#5047	C₂²	1	1	yes	characteristic
114	#5045	C₂²	1	1	yes	characteristic, complemented
115	#5037	C₂²	1	1	yes	characteristic
116	#5035	C₂²	1	1	yes	characteristic, complemented
117	#5031	C₂²	1	1	yes	characteristic, complemented
118	C₄×#216	C₂²	1	1	yes	characteristic, complemented
119	C₄×#216	C₂²	1	1	yes	characteristic, complemented
120	C₄×#216	C₂²	1	1	yes	characteristic, complemented
121	C₄×#215	C₂²	1	1	yes	characteristic, complemented
122	#5020	C₂²	1	1	yes	characteristic, complemented
123	#5019	C₂²	1	1	yes	characteristic, complemented
124	C₄×#214	C₂²	1	1	yes	characteristic, complemented
125	C₄×#214	C₂²	1	1	yes	characteristic, complemented
126	C₄×#214	C₂²	1	1	yes	characteristic, complemented
127	C₄×#213	C₂²	1	1	yes	characteristic, complemented
128	#5007	C₂²	1	1	yes	characteristic, complemented
129	#4996	C₂²	1	1	yes	characteristic, complemented
130	#4996	C₂²	1	1	yes	characteristic, complemented
131	#4925	C₂²	1	1	yes	characteristic, complemented
132	#4891	C₂²	1	1	yes	characteristic, complemented
133	#4889	C₂²	1	1	yes	characteristic, complemented
134	#4888	C₂²	1	1	yes	characteristic
135	#4888	C₂²	1	1	yes	characteristic
136	#4881	C₂²	1	1	yes	characteristic, complemented
137	D₃×#107	C₂²	1	1	yes	characteristic, complemented
138	#4875	C₂²	1	1	yes	characteristic, complemented
139	#4873	C₂²	1	1	yes	characteristic, complemented
140	#4870	C₂²	1	1	yes	characteristic, complemented
141	#4868	C₂²	1	1	yes	characteristic
142	#4868	C₂²	1	1	yes	characteristic
143	#4861	C₂²	1	1	yes	characteristic, complemented
144	D₃×#106	C₂²	1	1	yes	characteristic, complemented
145	#4857	C₂²	1	1	yes	characteristic, complemented
146	#4853	C₂²	1	1	yes	characteristic, complemented
147	#4852	C₂²	1	1	yes	characteristic, complemented
148	#4850	C₂²	1	1	yes	characteristic, complemented
149	#4849	C₂²	1	1	yes	characteristic, complemented
150	#4842	C₂²	1	1	yes	characteristic, complemented
151	#4841	C₂²	1	1	yes	characteristic, complemented
152	#4840	C₂²	1	1	yes	characteristic
153	#4840	C₂²	1	1	yes	characteristic
154	#4839	C₂²	1	1	yes	characteristic, complemented
155	#4839	C₂²	1	1	yes	characteristic, complemented
156	#4818	C₂²	1	1	yes	characteristic, complemented
157	#4817	C₂²	1	1	yes	characteristic, complemented
158	#4815	C₂²	1	1	yes	characteristic
159	#4814	C₂²	1	1	yes	characteristic
160	#4809	C₂²	1	1	yes	characteristic
161	#4809	C₂²	1	1	yes	characteristic
162	#4804	C₂²	1	1	yes	characteristic
163	#4803	C₂²	1	1	yes	characteristic
164	D₃×#103	C₂²	1	1	yes	characteristic, complemented
165	D₃×#103	C₂²	1	1	yes	characteristic, complemented
166	#4799	C₂²	1	1	yes	characteristic, complemented
167	#4795	C₂²	1	1	yes	characteristic, complemented
168	#4791	C₂²	1	1	yes	characteristic, complemented
169	#4790	C₂²	1	1	yes	characteristic, complemented
170	#4789	C₂²	1	1	yes	characteristic, complemented
171	#4789	C₂²	1	1	yes	characteristic, complemented
172	#4787	C₂²	1	1	yes	characteristic, complemented
173	#4784	C₂²	1	1	yes	characteristic
174	#4779	C₂²	1	1	yes	characteristic
175	#4776	C₂²	1	1	yes	characteristic
176	#4776	C₂²	1	1	yes	characteristic
177	#4772	C₂²	1	1	yes	characteristic
178	#4771	C₂²	1	1	yes	characteristic
179	#4771	C₂²	1	1	yes	characteristic, complemented
180	#4771	C₂²	1	1	yes	characteristic, complemented
181	#4767	C₂²	1	1	yes	characteristic, complemented
182	#4766	C₂²	1	1	yes	characteristic, complemented
183	#4759	C₂²	1	1	yes	characteristic, complemented
184	#4758	C₂²	1	1	yes	characteristic, complemented
185	#4758	C₂²	1	1	yes	characteristic, complemented
186	#4757	C₂²	1	1	yes	characteristic, complemented
187	#4756	C₂²	1	1	yes	characteristic, complemented
188	#4733	C₂²	1	1	yes	characteristic
189	#4733	C₂²	1	1	yes	characteristic
190	#4726	C₂²	1	1	yes	characteristic
191	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	#4723	C₂²	1	1	yes	characteristic, complemented
193	#4723	C₂²	1	1	yes	characteristic, complemented
194	#4719	C₂²	1	1	yes	characteristic, complemented
195	#4718	C₂²	1	1	yes	characteristic, complemented
196	#4716	C₂²	1	1	yes	characteristic, complemented
197	#4716	C₂²	1	1	yes	characteristic, complemented
198	#4710	C₂²	1	1	yes	characteristic, complemented
199	#4710	C₂²	1	1	yes	characteristic, complemented
200	#4709	C₂²	1	1	yes	characteristic
201	#4709	C₂²	1	1	yes	characteristic
202	#4708	C₂²	1	1	yes	characteristic, complemented
203	#4708	C₂²	1	1	yes	characteristic, complemented
204	#3495	—	3	1	no	—
205	#3428	—	3	1	no	—
206	#3127	—	3	1	no	—
207	#3127	—	3	1	no	—
208	#3123	—	3	1	no	—
209	#3123	—	3	1	no	—
210	#3121	—	3	1	no	—
211	#3121	—	3	1	no	—
212	#3118	—	3	1	no	—
213	#3118	—	3	1	no	—
214	#3116	—	3	1	no	—
215	#3116	—	3	1	no	—
216	#3111	—	3	1	no	—
217	#3111	D₃	1	1	yes	characteristic, complemented
218	#3107	—	3	1	no	—
219	#3107	—	3	1	no	—
220	#3102	—	3	1	no	—
221	#3102	—	3	1	no	—
222	#3093	—	3	1	no	—
223	C₂×#485	—	3	1	no	—
224	#3084	—	3	1	no	—
225	#3083	—	3	1	no	—
226	#3046	—	3	1	no	—
227	#3046	—	3	1	no	—
228	#3007	—	3	1	no	—
229	#3002	—	3	1	no	—
230	#2952	—	3	1	no	—
231	#2951	—	3	1	no	—
232	#2947	—	3	1	no	—
233	#2947	—	3	1	no	—
234	#2924	—	3	1	no	—
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	D₃×#41	—	2	4	no	—
237	D₃×#41	—	2	4	no	—
238	C₂×#239	C₂³	1	1	yes	characteristic
239	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
240	C₂×D₃×Q₈	C₂³	1	1	yes	characteristic
241	C₂×#237	—	2	1	no	—
242	C₂×#237	C₂³	1	1	yes	characteristic
243	C₂×#237	C₂³	1	1	yes	characteristic
244	C₂×D₃×D₄	—	2	1	no	—
245	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
246	C₂×#235	—	2	1	no	—
247	C₂×#235	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₃	—	2	1	no	—
249	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
250	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
254	C₃×#126	—	2	1	no	—
255	C₃×#125	C₂³	1	1	yes	characteristic
256	C₃×#124	C₂³	1	1	yes	characteristic
257	C₃×#123	—	2	1	no	—
258	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
259	C₃×#121	C₂³	1	1	yes	characteristic
260	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
261	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
262	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
263	C₃×C₄×D₄	—	2	1	no	—
264	C₃×C₄×D₄	—	2	1	no	—
265	C₃×C₄×D₄	—	2	1	no	—
266	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₃×#117	—	2	1	no	—
270	C₃×#117	—	2	1	no	—
271	C₃×#117	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄²	—	2	1	no	—
273	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
274	#946	C₂³	1	1	yes	characteristic
275	Q₈×Dic₃	C₂³	1	1	yes	characteristic
276	Q₈×Dic₃	C₂³	1	1	yes	characteristic
277	Q₈×Dic₃	C₂³	1	1	yes	characteristic
278	#944	C₂³	1	1	yes	characteristic
279	C₂×#216	C₂³	1	1	yes	characteristic
280	C₂×#216	C₂³	1	1	yes	characteristic
281	C₂×#216	C₂³	1	1	yes	characteristic
282	C₂×#215	C₂³	1	1	yes	characteristic
283	#938	C₂³	1	1	yes	characteristic
284	#937	—	2	1	no	—
285	#936	C₂³	1	1	yes	characteristic
286	#935	—	2	1	no	—
287	D₄×Dic₃	—	2	1	no	—
288	D₄×Dic₃	—	2	1	no	—
289	D₄×Dic₃	—	2	1	no	—
290	D₄×Dic₃	—	2	1	no	—
291	D₄×Dic₃	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×#214	C₂³	1	1	yes	characteristic
297	C₂×#213	C₂³	1	1	yes	characteristic
298	#929	—	2	1	no	—
299	C₄×#67	—	2	1	no	—
300	C₄×#67	—	2	1	no	—
301	C₄×#67	—	2	1	no	—
302	C₄×#67	—	2	1	no	—
303	C₄×#67	—	2	1	no	—
304	C₄×#67	—	2	1	no	—
305	C₄×#67	—	2	1	no	—
306	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
307	C₂×(C₂×D₃)⋊C₄	—	2	1	no	—
308	C₂×(C₂×D₃)⋊C₄	D₄	1	1	yes	characteristic
309	C₂×(C₂×D₃)⋊C₄	D₄	1	1	yes	characteristic
310	#926	—	2	1	no	—
311	#926	—	2	1	no	—
312	#926	C₂³	1	1	yes	characteristic
313	#924	—	2	1	no	—
314	#924	—	2	1	no	—
315	#924	C₂³	1	1	yes	characteristic
316	#924	C₂³	1	1	yes	characteristic
317	C₂×Dic₃⋊C₄	—	2	1	no	—
318	C₂×Dic₃⋊C₄	—	2	1	no	—
319	C₂×Dic₃⋊C₄	—	2	1	no	—
320	C₂×Dic₃⋊C₄	D₄	1	1	yes	characteristic
321	C₂×Dic₃⋊C₄	D₄	1	1	yes	characteristic
322	C₂×C₄×Dic₃	—	2	1	no	—
323	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
324	#918	—	2	4	no	—
325	#916	—	2	4	no	—
326	#915	—	2	4	no	—
327	#912	—	2	4	no	—
328	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
329	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
330	C₂×#204	C₂³	1	1	yes	characteristic
331	C₂×#204	C₂³	1	1	yes	characteristic
332	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
333	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
334	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
335	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
336	#898	—	2	1	no	—
337	#898	—	2	1	no	—
338	#898	—	2	1	no	—
339	#897	—	2	1	no	—
340	#897	C₂³	1	1	yes	characteristic
341	#897	C₂³	1	1	yes	characteristic
342	#896	—	2	1	no	—
343	#896	—	2	1	no	—
344	#893	—	2	1	no	—
345	#893	—	2	1	no	—
346	#893	C₂³	1	1	yes	characteristic
347	#893	C₂³	1	1	yes	characteristic
348	#892	—	2	1	no	—
349	#892	—	2	1	no	—
350	#892	—	2	1	no	—
351	#892	C₂³	1	1	yes	characteristic
352	#892	C₂³	1	1	yes	characteristic
353	#892	C₂³	1	1	yes	characteristic
354	D₃×C₄⋊C₄	—	2	1	no	—
355	D₃×C₄⋊C₄	—	2	1	no	—
356	D₃×C₄⋊C₄	—	2	1	no	—
357	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
359	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
360	#890	—	2	1	no	—
361	#890	—	2	1	no	—
362	#890	C₂³	1	1	yes	characteristic
363	#889	—	2	1	no	—
364	#889	—	2	1	no	—
365	#889	—	2	1	no	—
366	#888	—	2	1	no	—
367	#888	C₂³	1	1	yes	characteristic
368	#887	—	2	1	no	—
369	#887	—	2	1	no	—
370	#887	—	2	1	no	—
371	#887	—	2	1	no	—
372	#887	C₂³	1	1	yes	characteristic
373	#887	C₂³	1	1	yes	characteristic
374	#887	C₂³	1	1	yes	characteristic
375	#887	C₂³	1	1	yes	characteristic
376	#886	—	2	1	no	—
377	#885	—	2	1	no	—
378	#885	—	2	1	no	—
379	#883	—	2	1	no	—
380	#883	—	2	1	no	—
381	#883	—	2	1	no	—
382	#67⋊C₄	—	2	1	no	—
383	#67⋊C₄	—	2	1	no	—
384	#67⋊C₄	—	2	1	no	—
385	#67⋊C₄	—	2	1	no	—
386	#67⋊C₄	—	2	1	no	—
387	#67⋊C₄	—	2	1	no	—
388	#67⋊C₄	—	2	1	no	—
389	#67⋊C₄	—	2	1	no	—
390	D₃×C₂²⋊C₄	—	2	1	no	—
391	D₃×C₂²⋊C₄	—	2	1	no	—
392	D₃×C₂²⋊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	#878	—	2	1	no	—
398	#878	—	2	1	no	—
399	#878	—	2	1	no	—
400	#878	—	2	1	no	—
401	#878	—	2	1	no	—
402	#877	—	2	1	no	—
403	#877	—	2	1	no	—
404	#877	—	2	1	no	—
405	#877	—	2	1	no	—
406	#877	—	2	1	no	—
407	#877	—	2	1	no	—
408	#876	—	2	1	no	—
409	C₄×D₁₂	—	2	1	no	—
410	C₄×D₁₂	—	2	1	no	—
411	C₄×D₁₂	C₂³	1	1	yes	characteristic
412	C₄×D₁₂	C₂³	1	1	yes	characteristic
413	#872	—	2	1	no	—
414	#872	—	2	1	no	—
415	#872	—	2	1	no	—
416	#872	—	2	1	no	—
417	#872	—	2	1	no	—
418	#872	—	2	1	no	—
419	#872	—	2	1	no	—
420	#872	—	2	1	no	—
421	#872	D₄	1	1	yes	characteristic
422	#872	D₄	1	1	yes	characteristic
423	#872	D₄	1	1	yes	characteristic
424	#872	D₄	1	1	yes	characteristic
425	#872	C₂³	1	1	yes	characteristic
426	#872	C₂³	1	1	yes	characteristic
427	#872	C₂³	1	1	yes	characteristic
428	#872	C₂³	1	1	yes	characteristic
429	C₄²×D₃	—	2	1	no	—
430	C₄²×D₃	—	2	1	no	—
431	C₄²×D₃	—	2	1	no	—
432	#870	—	2	1	no	—
433	#870	—	2	1	no	—
434	#869	C₂³	1	1	yes	characteristic
435	#869	C₂³	1	1	yes	characteristic
436	C₄×Dic₆	—	2	1	no	—
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	C₄×Dic₆	C₂³	1	1	yes	characteristic
444	C₃×#107	C₂³	1	1	yes	characteristic
445	C₃×#107	C₂³	1	1	yes	characteristic
446	C₃×#106	C₂³	1	1	yes	characteristic
447	C₃×#106	C₂³	1	1	yes	characteristic
448	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
449	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
450	C₃×#103	C₂³	1	1	yes	characteristic
451	C₃×#103	C₂³	1	1	yes	characteristic
452	C₃×#103	C₂³	1	1	yes	characteristic
453	C₃×#103	C₂³	1	1	yes	characteristic
454	C₃×#102	C₂³	1	1	yes	characteristic
455	C₃×#102	C₂³	1	1	yes	characteristic
456	C₃×#102	C₂³	1	1	yes	characteristic
457	C₃×#102	C₂³	1	1	yes	characteristic
458	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
459	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
460	C₃×#97	C₂³	1	1	yes	characteristic
461	C₃×#97	C₂³	1	1	yes	characteristic
462	#835	C₂³	1	1	yes	characteristic
463	#835	C₂³	1	1	yes	characteristic
464	#835	C₂³	1	1	yes	characteristic
465	#835	C₂³	1	1	yes	characteristic
466	#832	C₂³	1	1	yes	characteristic
467	#832	C₂³	1	1	yes	characteristic
468	#832	C₂³	1	1	yes	characteristic
469	#832	C₂³	1	1	yes	characteristic
470	#830	C₂³	1	1	yes	characteristic
471	#830	C₂³	1	1	yes	characteristic
472	#821	C₂³	1	1	yes	characteristic
473	#821	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	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
478	#818	C₂³	1	1	yes	characteristic
479	#818	C₂³	1	1	yes	characteristic
480	#817	C₂³	1	1	yes	characteristic
481	#817	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	#816	C₂³	1	1	yes	characteristic
486	#816	C₂³	1	1	yes	characteristic
487	#816	C₂³	1	1	yes	characteristic
488	#815	C₂³	1	1	yes	characteristic
489	#815	C₂³	1	1	yes	characteristic
490	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
491	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
492	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
493	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
494	C₈×Dic₃	C₂³	1	1	yes	characteristic
495	C₈×Dic₃	C₂³	1	1	yes	characteristic
496	#810	C₂³	1	1	yes	characteristic
497	#810	C₂³	1	1	yes	characteristic
498	#810	C₂³	1	1	yes	characteristic
499	#810	C₂³	1	1	yes	characteristic
500	#810	C₂³	1	1	yes	characteristic
501	#810	C₂³	1	1	yes	characteristic
502	#809	C₂³	1	1	yes	characteristic
503	#809	C₂³	1	1	yes	characteristic
504	#808	C₂³	1	1	yes	characteristic
505	#808	C₂³	1	1	yes	characteristic
506	#808	C₂³	1	1	yes	characteristic
507	#808	C₂³	1	1	yes	characteristic
508	#807	C₂³	1	1	yes	characteristic
509	#807	C₂³	1	1	yes	characteristic
510	#807	C₂³	1	1	yes	characteristic
511	#807	C₂³	1	1	yes	characteristic
512	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
513	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
514	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
515	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
516	C₂²×#41	—	3	1	no	—
517	C₂×#137	—	3	1	no	—
518	C₂×#137	—	3	1	no	—
519	C₂×#135	—	3	1	no	—
520	C₂×#135	—	3	1	no	—
521	#556	—	6	1	no	—
522	#554	—	6	1	no	—
523	#552	—	6	1	no	—
524	#552	—	6	1	no	—
525	#552	—	6	1	no	—
526	#552	—	6	1	no	—
527	#551	—	6	1	no	—
528	#551	—	6	1	no	—
529	#544	—	3	1	no	—
530	#542	—	3	1	no	—
531	#542	—	3	1	no	—
532	#541	—	3	1	no	—
533	#541	—	3	1	no	—
534	#536	—	3	1	no	—
535	#533	—	3	1	no	—
536	#533	—	3	1	no	—
537	#529	—	3	1	no	—
538	#529	C₂×D₃	1	1	yes	characteristic, complemented
539	#525	—	3	1	no	—
540	C₂×C₂²⋊Q₈	—	3	1	no	—
541	#520	—	3	1	no	—
542	#520	—	3	1	no	—
543	#520	—	3	1	no	—
544	#520	—	3	1	no	—
545	#520	—	3	1	no	—
546	#520	—	6	1	no	—
547	#520	—	6	1	no	—
548	#519	—	3	1	no	—
549	#519	—	3	1	no	—
550	#519	—	3	1	no	—
551	#518	—	3	1	no	—
552	#518	—	3	1	no	—
553	#518	—	6	1	no	—
554	#518	—	6	1	no	—
555	C₄×#41	—	3	1	no	—
556	C₄×#41	—	3	1	no	—
557	C₄×#41	—	3	1	no	—
558	C₄×#41	—	6	1	no	—
559	C₄×#41	—	6	1	no	—
560	C₄×#41	C₂×D₃	1	1	yes	characteristic
561	C₂×#117	—	3	1	no	—
562	C₂×#117	—	3	1	no	—
563	C₂×#117	—	6	1	no	—
564	C₂×#117	—	6	1	no	—
565	#485	—	3	1	no	—
566	#485	—	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	—	3	1	no	—
572	#485	—	3	1	no	—
573	#485	—	3	1	no	—
574	#485	—	3	1	no	—
575	#485	—	3	1	no	—
576	#485	C₂×D₃	1	1	yes	characteristic, complemented
577	#482	—	3	1	no	—
578	#482	—	3	1	no	—
579	#482	—	3	1	no	—
580	#482	C₂×D₃	1	1	yes	characteristic, complemented
581	#479	—	3	1	no	—
582	#479	—	3	1	no	—
583	#479	—	3	1	no	—
584	#479	C₂×D₃	1	1	yes	characteristic, complemented
585	#478	—	3	1	no	—
586	#478	—	3	1	no	—
587	#478	—	3	1	no	—
588	#478	C₂×D₃	1	1	yes	characteristic, complemented
589	#477	—	3	1	no	—
590	#477	—	3	1	no	—
591	#476	—	3	1	no	—
592	#476	—	3	1	no	—
593	#475	—	3	1	no	—
594	#475	—	3	1	no	—
595	#474	—	3	1	no	—
596	#474	—	3	1	no	—
597	#464	—	3	1	no	—
598	#464	—	3	1	no	—
599	#464	—	3	1	no	—
600	#464	C₂×D₃	1	1	yes	characteristic, complemented
601	#463	—	3	1	no	—
602	#463	—	3	1	no	—
603	#463	—	3	1	no	—
604	#463	C₂×D₃	1	1	yes	characteristic, complemented
605	#462	—	3	1	no	—
606	#462	—	3	1	no	—
607	#462	—	3	1	no	—
608	#462	—	3	1	no	—
609	#461	—	3	1	no	—
610	#461	—	3	1	no	—
611	#461	—	3	1	no	—
612	#461	—	3	1	no	—
613	#452	—	3	1	no	—
614	#452	—	3	1	no	—
615	#452	—	3	1	no	—
616	#452	—	3	1	no	—
617	#452	—	3	1	no	—
618	#452	C₂×D₃	1	1	yes	characteristic
619	#451	—	3	1	no	—
620	#451	—	3	1	no	—
621	#451	—	3	1	no	—
622	#450	—	3	1	no	—
623	#450	—	3	1	no	—
624	#450	—	3	1	no	—
625	#449	—	3	1	no	—
626	#449	C₂×D₃	1	1	yes	characteristic
627	#448	—	3	1	no	—
628	#447	—	3	1	no	—
629	#442	—	3	1	no	—
630	#442	C₂×D₃	1	1	yes	characteristic, complemented
631	#441	—	3	1	no	—
632	#441	—	3	1	no	—
633	#441	—	3	1	no	—
634	#441	—	3	1	no	—
635	#441	—	3	1	no	—
636	#441	C₂×D₃	1	1	yes	characteristic, complemented
637	#440	—	3	1	no	—
638	#440	—	3	1	no	—
639	#440	—	3	1	no	—
640	#440	—	3	1	no	—
641	#440	—	3	1	no	—
642	#440	—	3	1	no	—
643	#440	C₂×D₃	1	1	yes	characteristic, complemented
644	#440	C₂×D₃	1	1	yes	characteristic, complemented
645	C₄×Q₁₆	—	3	1	no	—
646	C₄×Q₁₆	—	3	1	no	—
647	C₄×Q₁₆	—	3	1	no	—
648	C₄×Q₁₆	—	3	1	no	—
649	C₄×Q₁₆	—	3	1	no	—
650	C₄×Q₁₆	—	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	—	3	1	no	—
659	C₄×D₈	—	3	1	no	—
660	C₄×D₈	—	3	1	no	—
661	#433	—	3	1	no	—
662	#433	—	3	1	no	—
663	#433	—	3	1	no	—
664	#433	—	3	1	no	—
665	#432	—	3	1	no	—
666	#432	C₂×D₃	1	1	yes	characteristic, complemented
667	#431	—	3	1	no	—
668	#431	—	3	1	no	—
669	#428	—	3	1	no	—
670	#428	—	3	1	no	—
671	C₂×#107	—	3	1	no	—
672	C₂×#106	—	3	1	no	—
673	#424	—	3	1	no	—
674	#424	—	3	1	no	—
675	#417	—	3	1	no	—
676	#417	—	3	1	no	—
677	#417	—	3	1	no	—
678	#417	—	3	1	no	—
679	#416	—	3	1	no	—
680	#416	—	3	1	no	—
681	C₂×#103	—	3	1	no	—
682	C₂×#103	—	3	1	no	—
683	#407	—	3	1	no	—
684	C₂×C₂²⋊C₈	—	3	1	no	—
685	#405	—	3	1	no	—
686	#405	—	3	1	no	—
687	C₂³×D₃	—	2	1	no	—
688	C₂³×D₃	C₂×D₄	1	1	yes	characteristic
689	C₃×#41	—	2	2	no	—
690	C₃×#41	—	2	2	no	—
691	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
693	C₂×C₃×D₄	—	2	1	no	—
694	C₂×C₃×D₄	—	2	1	no	—
695	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
696	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
702	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
703	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
704	C₂×#67	—	2	1	no	—
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	C₂²×Dic₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
715	C₂²×Dic₃	C₂×D₄	1	1	yes	characteristic
716	C₂²×Dic₃	C₂×D₄	1	1	yes	characteristic
717	#239	—	2	2	no	—
718	#239	#41	1	4	yes	—
719	D₃×Q₈	—	2	2	no	—
720	D₃×Q₈	—	2	2	no	—
721	D₃×Q₈	—	2	2	no	—
722	D₃×Q₈	—	2	2	no	—
723	#237	—	2	8	no	—
724	#237	—	2	2	no	—
725	#237	—	2	2	no	—
726	#237	—	2	2	no	—
727	#237	#41	1	4	yes	—
728	D₃×D₄	—	2	8	no	—
729	D₃×D₄	—	2	2	no	—
730	D₃×D₄	—	2	2	no	—
731	#235	—	2	8	no	—
732	#235	—	2	2	no	—
733	#235	—	2	2	no	—
734	C₂×D₁₂	—	2	1	no	—
735	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
736	C₂×C₄×D₃	—	2	8	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	—	2	2	no	—
741	C₂×C₄×D₃	—	2	2	no	—
742	C₂×C₄×D₃	—	2	1	no	—
743	C₂×C₄×D₃	—	2	1	no	—
744	C₂×C₄×D₃	—	2	1	no	—
745	C₂×C₄×D₃	—	2	1	no	—
746	C₂×C₄×D₃	—	2	1	no	—
747	C₂×C₄×D₃	—	2	1	no	—
748	C₂×C₄×D₃	—	2	1	no	—
749	C₂×C₄×D₃	—	2	1	no	—
750	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
751	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
752	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
753	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
754	C₂×Dic₆	—	2	1	no	—
755	C₂×Dic₆	—	2	1	no	—
756	C₂×Dic₆	—	2	1	no	—
757	C₂×Dic₆	—	2	1	no	—
758	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
759	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
760	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
761	C₃×Q₁₆	—	2	2	no	—
762	C₃×SD₁₆	—	2	2	no	—
763	C₃×SD₁₆	—	2	2	no	—
764	C₃×D₈	—	2	2	no	—
765	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
766	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
767	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
768	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
769	C₃×C₄⋊C₄	—	2	1	no	—
770	C₃×C₄⋊C₄	—	2	1	no	—
771	C₃×C₄⋊C₄	—	2	1	no	—
772	C₃×C₄⋊C₄	—	2	1	no	—
773	C₃×C₄⋊C₄	—	2	1	no	—
774	C₃×C₄⋊C₄	—	2	1	no	—
775	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
776	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
777	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
778	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
779	C₃×C₂²⋊C₄	—	2	1	no	—
780	C₃×C₂²⋊C₄	—	2	1	no	—
781	C₃×C₂²⋊C₄	—	2	1	no	—
782	C₃×C₂²⋊C₄	—	2	1	no	—
783	C₃×C₂²⋊C₄	—	2	1	no	—
784	C₃×C₂²⋊C₄	—	2	1	no	—
785	C₃×C₂²⋊C₄	—	2	1	no	—
786	C₃×C₂²⋊C₄	—	2	1	no	—
787	C₃×C₄²	—	2	1	no	—
788	C₃×C₄²	—	2	1	no	—
789	C₃×C₄²	—	2	1	no	—
790	C₃×C₄²	—	2	1	no	—
791	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
792	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
793	C₃×C₄²	C₂⁴	1	1	yes	characteristic
794	C₃×C₄²	C₂⁴	1	1	yes	characteristic
795	#217	—	2	1	no	—
796	#217	—	2	1	no	—
797	#217	—	2	1	no	—
798	#217	—	2	1	no	—
799	#217	—	2	1	no	—
800	#217	—	2	1	no	—
801	#217	—	2	1	no	—
802	#217	—	2	1	no	—
803	#217	—	2	1	no	—
804	#216	—	2	2	no	—
805	#216	—	2	2	no	—
806	#216	—	2	2	no	—
807	#215	—	2	2	no	—
808	#214	—	2	2	no	—
809	#214	—	2	2	no	—
810	#214	—	2	2	no	—
811	#213	—	2	2	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	C₂×D₄	1	1	yes	characteristic
823	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
839	C₄⋊Dic₃	C₂⁴	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	Dic₃⋊C₄	—	2	1	no	—
844	Dic₃⋊C₄	—	2	1	no	—
845	Dic₃⋊C₄	—	2	1	no	—
846	Dic₃⋊C₄	—	2	1	no	—
847	Dic₃⋊C₄	—	2	1	no	—
848	Dic₃⋊C₄	—	2	1	no	—
849	Dic₃⋊C₄	—	2	1	no	—
850	Dic₃⋊C₄	—	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	C₂×D₄	1	1	yes	characteristic
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	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
877	C₄×Dic₃	—	2	1	no	—
878	C₄×Dic₃	—	2	1	no	—
879	C₄×Dic₃	—	2	1	no	—
880	C₄×Dic₃	—	2	1	no	—
881	C₄×Dic₃	—	2	1	no	—
882	C₄×Dic₃	—	2	1	no	—
883	C₄×Dic₃	—	2	1	no	—
884	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
885	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
886	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
887	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
888	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
889	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
890	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
891	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
892	Dic₁₂	—	2	2	no	—
893	Dic₁₂	—	2	2	no	—
894	#204	—	2	2	no	—
895	#204	—	2	2	no	—
896	ΓL(1,𝔽₂₅)	—	2	2	no	—
897	ΓL(1,𝔽₂₅)	—	2	2	no	—
898	D₃×C₈	—	2	2	no	—
899	D₃×C₈	—	2	2	no	—
900	C₂×#41	—	3	1	no	—
901	C₂×#41	—	3	1	no	—
902	C₂×#41	—	3	1	no	—
903	C₂×#41	—	3	1	no	—
904	C₂×#41	—	6	1	no	—
905	C₂×#41	—	6	1	no	—
906	C₂×#41	—	6	4	no	—
907	C₂×#41	—	6	4	no	—
908	C₂×#41	C₂²×D₃	1	1	yes	characteristic
909	C₂²×Q₈	—	3	1	no	—
910	C₂²×Q₈	—	3	1	no	—
911	C₂²×D₄	—	3	1	no	—
912	C₂²×D₄	—	6	1	no	—
913	C₂³×C₄	—	3	1	no	—
914	C₂³×C₄	—	6	1	no	—
915	#137	—	6	4	no	—
916	#137	—	6	4	no	—
917	#135	—	6	4	no	—
918	#135	—	6	4	no	—
919	C₂×Q₁₆	—	3	1	no	—
920	C₂×Q₁₆	—	3	1	no	—
921	C₂×Q₁₆	—	3	1	no	—
922	C₂×Q₁₆	—	3	1	no	—
923	C₂×Q₁₆	—	3	1	no	—
924	C₂×Q₁₆	C₂²×D₃	1	1	yes	characteristic
925	C₂×SD₁₆	—	3	1	no	—
926	C₂×SD₁₆	—	3	1	no	—
927	C₂×SD₁₆	—	3	1	no	—
928	C₂×SD₁₆	—	3	1	no	—
929	C₂×SD₁₆	—	3	1	no	—
930	C₂×SD₁₆	—	3	1	no	—
931	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
932	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
933	C₂×D₈	—	3	1	no	—
934	C₂×D₈	C₂²×D₃	1	1	yes	characteristic
935	C₂×M₁₆	—	3	1	no	—
936	C₂×M₁₆	—	3	1	no	—
937	C₂²×C₈	—	3	1	no	—
938	C₂²×C₈	—	3	1	no	—
939	C₄⋊Q₈	—	3	1	no	—
940	C₄⋊Q₈	—	3	1	no	—
941	C₄⋊Q₈	—	3	1	no	—
942	C₄⋊Q₈	—	3	1	no	—
943	C₄⋊Q₈	—	6	1	no	—
944	#126	—	2	1	no	—
945	#126	—	6	1	no	—
946	#126	—	6	1	no	—
947	#126	—	6	1	no	—
948	#126	—	6	1	no	—
949	#126	—	6	1	no	—
950	#126	—	6	1	no	—
951	#126	—	6	1	no	—
952	#125	—	3	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	#125	—	6	1	no	—
959	#125	—	6	1	no	—
960	#125	C₂²×D₃	1	1	yes	characteristic
961	#124	—	3	1	no	—
962	#124	—	6	1	no	—
963	#124	—	6	1	no	—
964	#124	C₂²×D₃	1	1	yes	characteristic
965	#123	—	2	1	no	—
966	#123	—	6	1	no	—
967	#123	—	6	1	no	—
968	#123	—	6	1	no	—
969	#123	—	6	1	no	—
970	#123	—	6	1	no	—
971	#123	—	6	1	no	—
972	C₂²⋊Q₈	—	3	1	no	—
973	C₂²⋊Q₈	—	3	1	no	—
974	C₂²⋊Q₈	—	3	1	no	—
975	C₂²⋊Q₈	—	3	1	no	—
976	C₂²⋊Q₈	—	3	1	no	—
977	C₂²⋊Q₈	—	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	C₂²×D₃	1	1	yes	characteristic
990	#120	—	6	1	no	—
991	C₄×Q₈	—	3	1	no	—
992	C₄×Q₈	—	3	1	no	—
993	C₄×Q₈	—	3	1	no	—
994	C₄×Q₈	—	3	1	no	—
995	C₄×Q₈	—	3	1	no	—
996	C₄×Q₈	—	3	1	no	—
997	C₄×Q₈	—	3	1	no	—
998	C₄×Q₈	—	3	1	no	—
999	C₄×Q₈	—	3	1	no	—
1000	C₄×Q₈	—	3	1	no	—
1001	C₄×Q₈	—	3	1	no	—
1002	C₄×Q₈	—	6	1	no	—
1003	C₄×Q₈	—	6	1	no	—
1004	C₄×Q₈	—	6	1	no	—
1005	C₄×Q₈	—	6	1	no	—
1006	C₄×Q₈	—	6	1	no	—
1007	C₄×Q₈	—	6	1	no	—
1008	C₄×Q₈	—	6	1	no	—
1009	C₄×Q₈	—	6	1	no	—
1010	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1011	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1012	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1013	C₄×D₄	—	2	1	no	—
1014	C₄×D₄	—	2	1	no	—
1015	C₄×D₄	—	2	1	no	—
1016	C₄×D₄	—	3	1	no	—
1017	C₄×D₄	—	3	1	no	—
1018	C₄×D₄	—	3	1	no	—
1019	C₄×D₄	—	3	1	no	—
1020	C₄×D₄	—	3	1	no	—
1021	C₄×D₄	—	3	1	no	—
1022	C₄×D₄	—	3	1	no	—
1023	C₄×D₄	—	6	1	no	—
1024	C₄×D₄	—	6	1	no	—
1025	C₄×D₄	—	6	1	no	—
1026	C₄×D₄	—	6	1	no	—
1027	C₄×D₄	—	6	1	no	—
1028	C₄×D₄	—	6	1	no	—
1029	C₄×D₄	—	6	1	no	—
1030	C₄×D₄	—	6	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	—	6	1	no	—
1041	C₄×D₄	—	6	1	no	—
1042	C₄×D₄	—	6	1	no	—
1043	C₄×D₄	—	6	1	no	—
1044	C₄×D₄	—	6	1	no	—
1045	C₄×D₄	—	6	1	no	—
1046	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1047	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1048	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1049	#117	—	2	1	no	—
1050	#117	—	2	1	no	—
1051	#117	—	3	1	no	—
1052	#117	—	3	1	no	—
1053	#117	—	3	1	no	—
1054	#117	—	3	1	no	—
1055	#117	—	3	1	no	—
1056	#117	—	3	1	no	—
1057	#117	—	3	1	no	—
1058	#117	—	3	1	no	—
1059	#117	—	3	1	no	—
1060	#117	—	3	1	no	—
1061	#117	—	3	1	no	—
1062	#117	—	3	1	no	—
1063	#117	—	6	1	no	—
1064	#117	—	6	1	no	—
1065	#117	—	6	1	no	—
1066	#117	—	6	1	no	—
1067	#117	—	6	1	no	—
1068	#117	—	6	1	no	—
1069	#117	—	6	1	no	—
1070	#117	—	6	1	no	—
1071	#117	—	6	1	no	—
1072	#117	—	6	1	no	—
1073	#117	—	6	1	no	—
1074	#117	—	6	1	no	—
1075	#117	—	6	1	no	—
1076	#117	—	6	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	C₂²×D₃	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	—	3	1	no	—
1084	C₂×C₄⋊C₄	—	3	1	no	—
1085	C₂×C₄⋊C₄	—	3	1	no	—
1086	C₂×C₄⋊C₄	—	3	1	no	—
1087	C₂×C₄⋊C₄	—	3	1	no	—
1088	C₂×C₄⋊C₄	—	6	1	no	—
1089	C₂×C₄⋊C₄	—	6	1	no	—
1090	C₂×C₄⋊C₄	—	6	1	no	—
1091	C₂×C₄⋊C₄	—	6	1	no	—
1092	C₂×C₄⋊C₄	—	6	1	no	—
1093	C₂×C₄⋊C₄	—	6	1	no	—
1094	C₂×C₂²⋊C₄	—	3	1	no	—
1095	C₂×C₂²⋊C₄	—	3	1	no	—
1096	C₂×C₂²⋊C₄	—	6	1	no	—
1097	C₂×C₂²⋊C₄	—	6	1	no	—
1098	C₂×C₂²⋊C₄	—	6	1	no	—
1099	C₂×C₂²⋊C₄	—	6	1	no	—
1100	C₂×C₂²⋊C₄	—	6	1	no	—
1101	C₂×C₂²⋊C₄	—	6	1	no	—
1102	C₂×C₄²	—	2	1	no	—
1103	C₂×C₄²	—	3	1	no	—
1104	C₂×C₄²	—	6	1	no	—
1105	C₂×C₄²	—	6	1	no	—
1106	C₂×C₄²	—	6	1	no	—
1107	C₂×C₄²	—	6	1	no	—
1108	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1109	#107	—	3	1	no	—
1110	#107	—	3	1	no	—
1111	#107	—	3	1	no	—
1112	#107	—	3	1	no	—
1113	#107	—	3	1	no	—
1114	#107	—	3	1	no	—
1115	#107	C₂²×D₃	1	1	yes	characteristic
1116	#107	C₂²×D₃	1	1	yes	characteristic
1117	#106	—	3	1	no	—
1118	#106	—	3	1	no	—
1119	#106	—	3	1	no	—
1120	#106	—	3	1	no	—
1121	#106	—	3	1	no	—
1122	#106	—	3	1	no	—
1123	#106	C₂²×D₃	1	1	yes	characteristic
1124	#106	C₂²×D₃	1	1	yes	characteristic
1125	C₄⋊C₈	—	3	1	no	—
1126	C₄⋊C₈	—	3	1	no	—
1127	C₄⋊C₈	—	3	1	no	—
1128	C₄⋊C₈	—	3	1	no	—
1129	C₄⋊C₈	—	3	1	no	—
1130	C₄⋊C₈	—	3	1	no	—
1131	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1132	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1133	#103	—	3	1	no	—
1134	#103	—	3	1	no	—
1135	#103	—	3	1	no	—
1136	#103	—	3	1	no	—
1137	#103	—	3	1	no	—
1138	#103	—	3	1	no	—
1139	#103	—	3	1	no	—
1140	#103	—	3	1	no	—
1141	#103	—	3	1	no	—
1142	#103	—	3	1	no	—
1143	#103	—	3	1	no	—
1144	#103	—	3	1	no	—
1145	#103	—	3	1	no	—
1146	#103	—	3	1	no	—
1147	#103	—	3	1	no	—
1148	#103	—	3	1	no	—
1149	#103	C₂²×D₃	1	1	yes	characteristic
1150	#103	C₂²×D₃	1	1	yes	characteristic
1151	#103	C₂²×D₃	1	1	yes	characteristic
1152	#103	C₂²×D₃	1	1	yes	characteristic
1153	#102	—	3	1	no	—
1154	#102	—	3	1	no	—
1155	#102	—	3	1	no	—
1156	#102	—	3	1	no	—
1157	#102	—	3	1	no	—
1158	#102	—	3	1	no	—
1159	#102	—	3	1	no	—
1160	#102	—	3	1	no	—
1161	#102	C₂²×D₃	1	1	yes	characteristic
1162	#102	C₂²×D₃	1	1	yes	characteristic
1163	#102	C₂²×D₃	1	1	yes	characteristic
1164	#102	C₂²×D₃	1	1	yes	characteristic
1165	C₂²⋊C₈	—	3	1	no	—
1166	C₂²⋊C₈	—	3	1	no	—
1167	C₂²⋊C₈	—	3	1	no	—
1168	C₂²⋊C₈	—	3	1	no	—
1169	C₂²⋊C₈	—	3	1	no	—
1170	C₂²⋊C₈	—	3	1	no	—
1171	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1172	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1173	#97	—	3	1	no	—
1174	#97	—	3	1	no	—
1175	#97	C₂²×D₃	1	1	yes	characteristic
1176	#97	C₂²×D₃	1	1	yes	characteristic
1177	C₄×C₈	—	3	1	no	—
1178	C₄×C₈	—	3	1	no	—
1179	C₄×C₈	—	3	1	no	—
1180	C₄×C₈	—	3	1	no	—
1181	C₂³×C₃	—	2	1	no	—
1182	C₂³×C₃	—	2	1	no	—
1183	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1184	C₂²×D₃	—	2	1	no	—
1185	C₂²×D₃	—	2	4	no	—
1186	C₂²×D₃	—	2	2	no	—
1187	C₂²×D₃	—	4	1	no	—
1188	C₂²×D₃	—	4	1	no	—
1189	C₂²×D₃	—	8	1	no	—
1190	C₂²×D₃	—	8	1	no	—
1191	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1192	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1193	C₃×Q₈	—	2	1	no	—
1194	C₃×Q₈	—	2	1	no	—
1195	C₃×Q₈	—	2	1	no	—
1196	C₃×Q₈	C₂×#41	1	2	yes	—
1197	C₃×D₄	—	2	4	no	—
1198	C₃×D₄	—	2	1	no	—
1199	C₃×D₄	—	2	1	no	—
1200	C₃×D₄	—	2	1	no	—
1201	C₃×D₄	—	4	2	no	—
1202	C₃×D₄	C₂×#41	1	2	yes	—
1203	C₂×C₃×C₄	—	2	4	no	—
1204	C₂×C₃×C₄	—	2	1	no	—
1205	C₂×C₃×C₄	—	2	1	no	—
1206	C₂×C₃×C₄	—	2	1	no	—
1207	C₂×C₃×C₄	—	2	1	no	—
1208	C₂×C₃×C₄	—	2	1	no	—
1209	C₂×C₃×C₄	—	2	1	no	—
1210	C₂×C₃×C₄	—	2	1	no	—
1211	C₂×C₃×C₄	—	2	1	no	—
1212	C₂×C₃×C₄	—	4	1	no	—
1213	C₂×C₃×C₄	—	4	1	no	—
1214	C₂×C₃×C₄	—	8	1	no	—
1215	C₂×C₃×C₄	—	8	1	no	—
1216	C₂×C₃×C₄	—	8	1	no	—
1217	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1218	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1219	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1220	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1221	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1222	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1223	#67	—	2	4	no	—
1224	#67	—	2	4	no	—
1225	#67	—	2	4	no	—
1226	#67	—	4	2	no	—
1227	#67	—	8	1	no	—
1228	C₂×Dic₃	—	2	1	no	—
1229	C₂×Dic₃	—	2	2	no	—
1230	C₂×Dic₃	—	2	4	no	—
1231	C₂×Dic₃	—	2	1	no	—
1232	C₂×Dic₃	—	2	1	no	—
1233	C₂×Dic₃	—	2	1	no	—
1234	C₂×Dic₃	—	2	1	no	—
1235	C₂×Dic₃	—	2	1	no	—
1236	C₂×Dic₃	—	2	1	no	—
1237	C₂×Dic₃	—	4	1	no	—
1238	C₂×Dic₃	—	4	1	no	—
1239	C₂×Dic₃	—	4	2	no	—
1240	C₂×Dic₃	—	8	1	no	—
1241	C₂×Dic₃	—	8	1	no	—
1242	C₂×Dic₃	—	8	1	no	—
1243	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1244	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1245	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1246	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1247	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1248	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1249	D₁₂	—	2	4	no	—
1250	D₁₂	—	2	1	no	—
1251	D₁₂	C₂×#41	1	2	yes	—
1252	C₄×D₃	—	2	4	no	—
1253	C₄×D₃	—	2	4	no	—
1254	C₄×D₃	—	2	2	no	—
1255	C₄×D₃	—	2	1	no	—
1256	C₄×D₃	—	2	1	no	—
1257	C₄×D₃	—	2	2	no	—
1258	C₄×D₃	—	2	4	no	—
1259	C₄×D₃	—	4	2	no	—
1260	C₄×D₃	—	8	1	no	—
1261	C₄×D₃	—	8	1	no	—
1262	C₄×D₃	—	8	1	no	—
1263	C₄×D₃	—	8	1	no	—
1264	C₄×D₃	—	8	1	no	—
1265	C₄×D₃	—	8	1	no	—
1266	C₄×D₃	—	8	1	no	—
1267	C₄×D₃	C₂×#41	1	2	yes	—
1268	C₄×D₃	C₂×#41	1	2	yes	—
1269	Dic₆	—	2	4	no	—
1270	Dic₆	—	2	1	no	—
1271	Dic₆	—	2	1	no	—
1272	Dic₆	—	2	1	no	—
1273	Dic₆	—	2	1	no	—
1274	Dic₆	—	2	1	no	—
1275	Dic₆	—	4	2	no	—
1276	Dic₆	—	8	1	no	—
1277	Dic₆	—	8	1	no	—
1278	Dic₆	C₂×#41	1	2	yes	—
1279	C₃×C₈	—	2	1	no	—
1280	C₃×C₈	—	2	1	no	—
1281	C₃×C₈	—	2	1	no	—
1282	C₃×C₈	—	2	1	no	—
1283	C₃⋊C₈	—	2	1	no	—
1284	C₃⋊C₈	—	2	1	no	—
1285	C₃⋊C₈	—	2	1	no	—
1286	C₃⋊C₈	—	2	1	no	—
1287	C₂⁴	—	3	1	no	—
1288	C₂⁴	—	6	1	no	—
1289	#41	—	2	2	no	—
1290	#41	—	2	2	no	—
1291	#41	—	3	4	no	—
1292	#41	—	3	4	no	—
1293	#41	—	6	2	no	—
1294	#41	—	6	2	no	—
1295	#41	—	6	8	no	—
1296	#41	—	6	2	no	—
1297	#41	—	6	2	no	—
1298	#41	—	6	2	no	—
1299	#41	—	6	2	no	—
1300	#41	—	6	8	no	—
1301	C₂×Q₈	—	3	1	no	—
1302	C₂×Q₈	—	3	1	no	—
1303	C₂×Q₈	—	3	1	no	—
1304	C₂×Q₈	—	6	1	no	—
1305	C₂×Q₈	—	6	1	no	—
1306	C₂×Q₈	—	6	1	no	—
1307	C₂×Q₈	—	6	2	no	—
1308	C₂×Q₈	—	6	2	no	—
1309	C₂×Q₈	—	6	2	no	—
1310	C₂×Q₈	—	6	2	no	—
1311	C₂×Q₈	—	6	1	no	—
1312	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1313	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1314	C₂×D₄	—	2	1	no	—
1315	C₂×D₄	—	2	1	no	—
1316	C₂×D₄	—	3	1	no	—
1317	C₂×D₄	—	6	1	no	—
1318	C₂×D₄	—	6	1	no	—
1319	C₂×D₄	—	6	2	no	—
1320	C₂×D₄	—	6	8	no	—
1321	C₂×D₄	—	6	1	no	—
1322	C₂×D₄	—	6	1	no	—
1323	C₂×D₄	—	6	2	no	—
1324	C₂×D₄	—	6	1	no	—
1325	C₂×D₄	—	6	1	no	—
1326	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1327	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	3	1	no	—
1333	C₂²×C₄	—	3	1	no	—
1334	C₂²×C₄	—	3	1	no	—
1335	C₂²×C₄	—	3	1	no	—
1336	C₂²×C₄	—	3	1	no	—
1337	C₂²×C₄	—	3	1	no	—
1338	C₂²×C₄	—	3	1	no	—
1339	C₂²×C₄	—	6	1	no	—
1340	C₂²×C₄	—	6	2	no	—
1341	C₂²×C₄	—	6	2	no	—
1342	C₂²×C₄	—	6	1	no	—
1343	C₂²×C₄	—	6	1	no	—
1344	C₂²×C₄	—	6	1	no	—
1345	C₂²×C₄	—	6	8	no	—
1346	C₂²×C₄	—	6	1	no	—
1347	C₂²×C₄	—	6	1	no	—
1348	C₂²×C₄	—	6	1	no	—
1349	C₂²×C₄	—	6	1	no	—
1350	C₂²×C₄	—	6	1	no	—
1351	C₂²×C₄	—	6	1	no	—
1352	C₂²×C₄	—	6	1	no	—
1353	C₂²×C₄	—	6	1	no	—
1354	C₂²×C₄	—	6	1	no	—
1355	C₂²×C₄	—	6	1	no	—
1356	C₂²×C₄	—	6	1	no	—
1357	C₂²×C₄	—	6	1	no	—
1358	C₂²×C₄	D₃×D₄	1	1	yes	characteristic
1359	C₂²×C₄	D₃×D₄	1	1	yes	characteristic
1360	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1361	Q₁₆	—	2	2	no	—
1362	Q₁₆	—	6	2	no	—
1363	Q₁₆	—	6	2	no	—
1364	Q₁₆	—	6	2	no	—
1365	Q₁₆	—	6	2	no	—
1366	Q₁₆	—	6	2	no	—
1367	SD₁₆	—	2	2	no	—
1368	SD₁₆	—	2	2	no	—
1369	SD₁₆	—	6	2	no	—
1370	SD₁₆	—	6	2	no	—
1371	SD₁₆	—	6	2	no	—
1372	SD₁₆	—	6	2	no	—
1373	SD₁₆	—	6	2	no	—
1374	SD₁₆	—	6	2	no	—
1375	D₈	—	2	2	no	—
1376	D₈	—	6	2	no	—
1377	M₁₆	—	6	2	no	—
1378	M₁₆	—	6	2	no	—
1379	C₂×C₈	—	3	1	no	—
1380	C₂×C₈	—	3	1	no	—
1381	C₂×C₈	—	3	1	no	—
1382	C₂×C₈	—	3	1	no	—
1383	C₂×C₈	—	6	2	no	—
1384	C₂×C₈	—	6	2	no	—
1385	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1386	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1387	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1388	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	3	1	no	—
1396	C₄⋊C₄	—	3	1	no	—
1397	C₄⋊C₄	—	3	1	no	—
1398	C₄⋊C₄	—	3	1	no	—
1399	C₄⋊C₄	—	3	1	no	—
1400	C₄⋊C₄	—	3	1	no	—
1401	C₄⋊C₄	—	3	1	no	—
1402	C₄⋊C₄	—	3	1	no	—
1403	C₄⋊C₄	—	3	1	no	—
1404	C₄⋊C₄	—	3	1	no	—
1405	C₄⋊C₄	—	3	1	no	—
1406	C₄⋊C₄	—	3	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	—	6	1	no	—
1420	C₄⋊C₄	—	6	1	no	—
1421	C₄⋊C₄	—	6	1	no	—
1422	C₄⋊C₄	—	6	1	no	—
1423	C₄⋊C₄	—	6	1	no	—
1424	C₄⋊C₄	—	6	1	no	—
1425	C₄⋊C₄	—	6	1	no	—
1426	C₄⋊C₄	—	6	1	no	—
1427	C₄⋊C₄	—	6	1	no	—
1428	C₄⋊C₄	—	6	1	no	—
1429	C₄⋊C₄	—	6	1	no	—
1430	C₄⋊C₄	—	6	1	no	—
1431	C₄⋊C₄	—	6	1	no	—
1432	C₄⋊C₄	—	6	1	no	—
1433	C₄⋊C₄	—	6	1	no	—
1434	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1435	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	3	1	no	—
1447	C₂²⋊C₄	—	3	1	no	—
1448	C₂²⋊C₄	—	3	1	no	—
1449	C₂²⋊C₄	—	3	1	no	—
1450	C₂²⋊C₄	—	3	1	no	—
1451	C₂²⋊C₄	—	3	1	no	—
1452	C₂²⋊C₄	—	3	1	no	—
1453	C₂²⋊C₄	—	3	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	—	6	1	no	—
1466	C₂²⋊C₄	—	6	1	no	—
1467	C₂²⋊C₄	—	6	1	no	—
1468	C₂²⋊C₄	—	6	1	no	—
1469	C₂²⋊C₄	—	6	1	no	—
1470	C₂²⋊C₄	—	6	1	no	—
1471	C₂²⋊C₄	—	6	1	no	—
1472	C₂²⋊C₄	—	6	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	3	1	no	—
1478	C₄²	—	3	1	no	—
1479	C₄²	—	3	1	no	—
1480	C₄²	—	3	1	no	—
1481	C₄²	—	6	1	no	—
1482	C₄²	—	6	1	no	—
1483	C₄²	—	6	1	no	—
1484	C₄²	—	6	1	no	—
1485	C₄²	—	6	1	no	—
1486	C₄²	—	6	1	no	—
1487	C₄²	—	6	1	no	—
1488	C₄²	—	6	1	no	—
1489	C₄²	—	6	1	no	—
1490	C₄²	—	6	1	no	—
1491	C₄²	—	6	1	no	—
1492	C₄²	—	6	1	no	—
1493	C₄²	—	6	1	no	—
1494	C₄²	—	6	1	no	—
1495	C₄²	—	6	1	no	—
1496	C₄²	D₃×D₄	1	1	yes	characteristic
1497	C₄²	D₃×D₄	1	1	yes	characteristic
1498	C₄²	C₂³×D₃	1	1	yes	characteristic
1499	C₄²	C₂³×D₃	1	1	yes	characteristic
1500	C₂²×C₃	—	2	1	no	—
1501	C₂²×C₃	—	2	1	no	—
1502	C₂²×C₃	—	2	1	no	—
1503	C₂²×C₃	—	2	2	no	—
1504	C₂²×C₃	—	4	1	no	—
1505	C₂²×C₃	—	4	1	no	—
1506	C₂²×C₃	—	4	1	no	—
1507	C₂²×C₃	—	4	1	no	—
1508	C₂²×C₃	—	4	1	no	—
1509	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1510	C₂×D₃	—	2	1	no	—
1511	C₂×D₃	—	2	1	no	—
1512	C₂×D₃	—	2	1	no	—
1513	C₂×D₃	—	2	1	no	—
1514	C₂×D₃	—	2	1	no	—
1515	C₂×D₃	—	2	2	no	—
1516	C₂×D₃	—	4	1	no	—
1517	C₂×D₃	—	4	1	no	—
1518	C₂×D₃	—	8	2	no	—
1519	C₂×D₃	—	8	4	no	—
1520	C₂×D₃	#525	1	2	yes	—
1521	C₃×C₄	—	2	1	no	—
1522	C₃×C₄	—	2	1	no	—
1523	C₃×C₄	—	2	1	no	—
1524	C₃×C₄	—	2	1	no	—
1525	C₃×C₄	—	2	2	no	—
1526	C₃×C₄	—	2	1	no	—
1527	C₃×C₄	—	4	1	no	—
1528	C₃×C₄	—	4	1	no	—
1529	C₃×C₄	—	4	1	no	—
1530	C₃×C₄	—	4	1	no	—
1531	C₃×C₄	—	4	1	no	—
1532	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1533	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1534	Dic₃	—	2	1	no	—
1535	Dic₃	—	2	1	no	—
1536	Dic₃	—	2	1	no	—
1537	Dic₃	—	2	1	no	—
1538	Dic₃	—	2	1	no	—
1539	Dic₃	—	2	2	no	—
1540	Dic₃	—	4	1	no	—
1541	Dic₃	—	4	1	no	—
1542	Dic₃	—	4	1	no	—
1543	Dic₃	—	4	1	no	—
1544	Dic₃	—	4	1	no	—
1545	Dic₃	—	4	1	no	—
1546	Dic₃	#525	1	2	yes	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	2	1	no	—
1549	C₂³	—	3	1	no	—
1550	C₂³	—	3	1	no	—
1551	C₂³	—	6	2	no	—
1552	C₂³	—	6	4	no	—
1553	C₂³	—	6	1	no	—
1554	C₂³	—	12	1	no	—
1555	C₂³	—	12	1	no	—
1556	C₂³	—	24	1	no	—
1557	C₂³	—	24	1	no	—
1558	C₂³	C₂×D₃×D₄	1	1	yes	characteristic
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	3	2	no	—
1563	Q₈	—	6	4	no	—
1564	Q₈	—	6	1	no	—
1565	Q₈	—	6	1	no	—
1566	Q₈	—	6	1	no	—
1567	Q₈	—	6	1	no	—
1568	Q₈	—	6	1	no	—
1569	Q₈	—	12	2	no	—
1570	Q₈	—	24	1	no	—
1571	Q₈	—	24	1	no	—
1572	Q₈	D₃×#41	1	2	yes	—
1573	D₄	—	2	4	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	3	2	no	—
1578	D₄	—	4	2	no	—
1579	D₄	—	6	4	no	—
1580	D₄	—	6	4	no	—
1581	D₄	—	6	4	no	—
1582	D₄	—	6	4	no	—
1583	D₄	—	6	1	no	—
1584	D₄	—	12	2	no	—
1585	D₄	—	24	1	no	—
1586	D₄	D₃×#41	1	2	yes	—
1587	C₂×C₄	—	2	4	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	3	1	no	—
1597	C₂×C₄	—	3	2	no	—
1598	C₂×C₄	—	3	2	no	—
1599	C₂×C₄	—	3	1	no	—
1600	C₂×C₄	—	3	1	no	—
1601	C₂×C₄	—	3	1	no	—
1602	C₂×C₄	—	3	1	no	—
1603	C₂×C₄	—	3	1	no	—
1604	C₂×C₄	—	4	1	no	—
1605	C₂×C₄	—	4	1	no	—
1606	C₂×C₄	—	6	2	no	—
1607	C₂×C₄	—	6	4	no	—
1608	C₂×C₄	—	6	2	no	—
1609	C₂×C₄	—	6	4	no	—
1610	C₂×C₄	—	6	4	no	—
1611	C₂×C₄	—	6	2	no	—
1612	C₂×C₄	—	6	4	no	—
1613	C₂×C₄	—	6	1	no	—
1614	C₂×C₄	—	6	1	no	—
1615	C₂×C₄	—	6	1	no	—
1616	C₂×C₄	—	6	1	no	—
1617	C₂×C₄	—	6	1	no	—
1618	C₂×C₄	—	6	1	no	—
1619	C₂×C₄	—	6	1	no	—
1620	C₂×C₄	—	6	1	no	—
1621	C₂×C₄	—	6	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	12	2	no	—
1626	C₂×C₄	—	12	2	no	—
1627	C₂×C₄	—	12	1	no	—
1628	C₂×C₄	—	12	1	no	—
1629	C₂×C₄	—	24	1	no	—
1630	C₂×C₄	—	24	1	no	—
1631	C₂×C₄	—	24	1	no	—
1632	C₂×C₄	—	24	1	no	—
1633	C₂×C₄	—	24	1	no	—
1634	C₂×C₄	—	24	1	no	—
1635	C₂×C₄	—	24	1	no	—
1636	C₂×C₄	—	24	1	no	—
1637	C₂×C₄	—	24	1	no	—
1638	C₂×C₄	—	24	1	no	—
1639	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1641	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1642	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1643	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1644	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	6	1	no	—
1650	C₈	—	6	1	no	—
1651	C₈	—	6	1	no	—
1652	C₈	—	6	1	no	—
1653	C₂×C₃	—	4	1	no	—
1654	C₂×C₃	—	4	2	no	—
1655	C₂×C₃	—	8	1	no	—
1656	C₂×C₃	C₂×#525	1	1	yes	characteristic
1657	C₂×C₃	#3584	1	1	yes	characteristic
1658	C₂×C₃	#3586	1	1	yes	characteristic
1659	D₃	—	2	2	no	—
1660	D₃	—	4	1	no	—
1661	D₃	—	4	2	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	2	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	3	2	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	6	1	no	—
1673	C₂²	—	6	1	no	—
1674	C₂²	—	6	1	no	—
1675	C₂²	—	6	2	no	—
1676	C₂²	—	6	1	no	—
1677	C₂²	—	6	1	no	—
1678	C₂²	—	12	1	no	—
1679	C₂²	—	12	1	no	—
1680	C₂²	—	24	2	no	—
1681	C₂²	—	24	4	no	—
1682	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1683	C₄	—	2	1	no	—
1684	C₄	—	2	2	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	3	2	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	6	1	no	—
1696	C₄	—	6	2	no	—
1697	C₄	—	6	1	no	—
1698	C₄	—	6	1	no	—
1699	C₄	—	6	1	no	—
1700	C₄	—	6	1	no	—
1701	C₄	—	12	1	no	—
1702	C₄	—	12	1	no	—
1703	C₄	—	12	1	no	—
1704	C₄	—	12	1	no	—
1705	C₄	—	12	1	no	—
1706	C₄	—	12	1	no	—
1707	C₄	C₂×D₃×#41	1	1	yes	characteristic
1708	C₄	C₂×D₃×#41	1	1	yes	characteristic
1709	C₃	#60586	1	1	yes	characteristic, complemented, Sylow
1710	C₂	—	4	1	no	—
1711	C₂	—	4	2	no	—
1712	C₂	—	6	2	no	—
1713	C₂	—	8	1	no	—
1714	C₂	—	12	1	no	—
1715	C₂	—	12	2	no	—
1716	C₂	D₃×#525	1	1	yes	characteristic
1717	C₂	#87199	1	1	yes	characteristic
1718	C₂	#87201	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×#3111	C₂
socle	C₂²×C₃	C₂³×D₄
prime radical	#80082	C₂
hypercenter	#3111	D₃
hypocenter	C₃	#60586
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3111

Complements

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

N	H ≅ G/N	type
1. #86157	C₂	semidirect
2. #85834	C₂	semidirect
3. C₃×#3111	C₂	semidirect
4. #83140	C₂	semidirect
5. #82534	C₂	semidirect
6. D₃×#485	C₂	semidirect
7. #81495	C₂	semidirect
8. #81372	C₂	semidirect
9. #81348	C₂	semidirect
10. #81235	C₂	semidirect
11. #81211	C₂	semidirect
12. #81170	C₂	semidirect
13. #81147	C₂	semidirect
14. #80603	C₂	semidirect
15. #80573	C₂	semidirect
16. #80539	C₂	semidirect
17. #80509	C₂	semidirect
18. #80228	C₂	semidirect
19. #80213	C₂	semidirect
21. #80070	C₂	semidirect
22. #79886	C₂	semidirect
23. #79868	C₂	semidirect
24. #79836	C₂	semidirect
25. #79830	C₂	semidirect
26. #79814	C₂	semidirect
27. #79787	C₂	semidirect
28. #79778	C₂	semidirect
29. #79776	C₂	semidirect
30. #79348	C₂	semidirect
31. #79333	C₂	semidirect
34. C₃×#529	C₂²	semidirect
44. #5689	C₂²	semidirect
46. #5675	C₂²	semidirect
50. #5622	C₂²	semidirect
52. #5600	C₂²	semidirect
58. #5572	C₂²	semidirect
65. #5546	C₂²	semidirect
81. #5470	C₂²	semidirect
82. C₃×#485	C₂²	semidirect
83. C₃×#482	C₂²	semidirect
84. C₃×#479	C₂²	semidirect
85. C₃×#478	C₂²	semidirect
86. C₃×#464	C₂²	semidirect
87. C₃×#463	C₂²	semidirect
90. C₃×#442	C₂²	semidirect
91. C₃×#441	C₂²	semidirect
92. C₃×#440	C₂²	semidirect
93. C₃×#440	C₂²	semidirect
94. C₃×#432	C₂²	semidirect
98. #5182	C₂²	semidirect
99. Dic₃×Q₁₆	C₂²	semidirect
102. #5166	C₂²	semidirect
103. #5164	C₂²	semidirect
104. #5162	C₂²	semidirect
105. Dic₃×SD₁₆	C₂²	semidirect
107. #5153	C₂²	semidirect
108. #5152	C₂²	semidirect
109. #5066	C₂²	semidirect
110. #5063	C₂²	semidirect
111. #5057	C₂²	semidirect
112. #5054	C₂²	semidirect
114. #5045	C₂²	semidirect
116. #5035	C₂²	semidirect
117. #5031	C₂²	semidirect
118. C₄×#216	C₂²	semidirect
119. C₄×#216	C₂²	semidirect
120. C₄×#216	C₂²	semidirect
121. C₄×#215	C₂²	semidirect
122. #5020	C₂²	semidirect
123. #5019	C₂²	semidirect
124. C₄×#214	C₂²	semidirect
125. C₄×#214	C₂²	semidirect
126. C₄×#214	C₂²	semidirect
127. C₄×#213	C₂²	semidirect
128. #5007	C₂²	semidirect
129. #4996	C₂²	semidirect
130. #4996	C₂²	semidirect
131. #4925	C₂²	semidirect
132. #4891	C₂²	semidirect
133. #4889	C₂²	semidirect
136. #4881	C₂²	semidirect
137. D₃×#107	C₂²	semidirect
138. #4875	C₂²	semidirect
139. #4873	C₂²	semidirect
140. #4870	C₂²	semidirect
143. #4861	C₂²	semidirect
144. D₃×#106	C₂²	semidirect
145. #4857	C₂²	semidirect
146. #4853	C₂²	semidirect
147. #4852	C₂²	semidirect
148. #4850	C₂²	semidirect
149. #4849	C₂²	semidirect
150. #4842	C₂²	semidirect
151. #4841	C₂²	semidirect
154. #4839	C₂²	semidirect
155. #4839	C₂²	semidirect
156. #4818	C₂²	semidirect
157. #4817	C₂²	semidirect
164. D₃×#103	C₂²	semidirect
165. D₃×#103	C₂²	semidirect
166. #4799	C₂²	semidirect
167. #4795	C₂²	semidirect
168. #4791	C₂²	semidirect
169. #4790	C₂²	semidirect
170. #4789	C₂²	semidirect
171. #4789	C₂²	semidirect
172. #4787	C₂²	semidirect
179. #4771	C₂²	semidirect
180. #4771	C₂²	semidirect
181. #4767	C₂²	semidirect
182. #4766	C₂²	semidirect
183. #4759	C₂²	semidirect
184. #4758	C₂²	semidirect
185. #4758	C₂²	semidirect
186. #4757	C₂²	semidirect
187. #4756	C₂²	semidirect
192. #4723	C₂²	semidirect
193. #4723	C₂²	semidirect
194. #4719	C₂²	semidirect
195. #4718	C₂²	semidirect
196. #4716	C₂²	semidirect
197. #4716	C₂²	semidirect
198. #4710	C₂²	semidirect
199. #4710	C₂²	semidirect
202. #4708	C₂²	semidirect
203. #4708	C₂²	semidirect
217. #3111	D₃	semidirect
538. #529	C₂×D₃	semidirect
576. #485	C₂×D₃	semidirect
580. #482	C₂×D₃	semidirect
584. #479	C₂×D₃	semidirect
588. #478	C₂×D₃	semidirect
600. #464	C₂×D₃	semidirect
604. #463	C₂×D₃	semidirect
630. #442	C₂×D₃	semidirect
636. #441	C₂×D₃	semidirect
643. #440	C₂×D₃	semidirect
644. #440	C₂×D₃	semidirect
666. #432	C₂×D₃	semidirect
1709. C₃	#60586	semidirect

Maximal subgroups

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

subgroup	index
#86157	2
#85834	2
C₃×#3111	2
#83140	2
#82534	2
D₃×#485	2
#81495	2
#81372	2
#81348	2
#81235	2
#81211	2
#81170	2
#81147	2
#80603	2
#80573	2
#80539	2
#80509	2
#80228	2
#80213	2
#80082	2
#80070	2
#79886	2
#79868	2
#79836	2
#79830	2
#79814	2
#79787	2
#79778	2
#79776	2
#79348	2
#79333	2
#60586	3