Subgroups — #11660823

Order 768.

1716 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86220	C₂	1	1	yes	maximal, characteristic
2	C₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
3	#83279	C₂	1	1	yes	maximal, characteristic, complemented
4	#79528	C₂	1	1	yes	maximal, characteristic, complemented
5	#79525	C₂	1	1	yes	maximal, characteristic, complemented
6	#79520	C₂	1	1	yes	maximal, characteristic, complemented
7	#79519	C₂	1	1	yes	maximal, characteristic, complemented
8	#79468	C₂	1	1	yes	maximal, characteristic, complemented
9	#79464	C₂	1	1	yes	maximal, characteristic, complemented
10	#79462	C₂	1	1	yes	maximal, characteristic, complemented
11	#79461	C₂	1	1	yes	maximal, characteristic, complemented
12	#79460	C₂	1	1	yes	maximal, characteristic, complemented
13	#79458	C₂	1	1	yes	maximal, characteristic, complemented
14	#79456	C₂	1	1	yes	maximal, characteristic, complemented
15	#79453	C₂	1	1	yes	maximal, characteristic, complemented
16	#79409	C₂	1	1	yes	maximal, characteristic, complemented
17	#79407	C₂	1	1	yes	maximal, characteristic, complemented
18	#79402	C₂	1	1	yes	maximal, characteristic, complemented
19	#79400	C₂	1	1	yes	maximal, characteristic, complemented
20	#79332	C₂	1	1	yes	maximal, characteristic, complemented
21	#79314	C₂	1	1	yes	maximal, characteristic, complemented
22	#79285	C₂	1	1	yes	maximal, characteristic, complemented
23	#79265	C₂	1	1	yes	maximal, characteristic, complemented
24	#78669	C₂	1	1	yes	maximal, characteristic, complemented
25	#78669	C₂	1	1	yes	maximal, characteristic, complemented
26	#78668	C₂	1	1	yes	maximal, characteristic, complemented
27	#78667	C₂	1	1	yes	maximal, characteristic, complemented
28	#78650	C₂	1	1	yes	maximal, characteristic, complemented
29	#78650	C₂	1	1	yes	maximal, characteristic, complemented
30	#78649	C₂	1	1	yes	maximal, characteristic, complemented
31	#78648	C₂	1	1	yes	maximal, characteristic, complemented
32	#60302	—	3	1	no	maximal, Sylow
33	C₃×#532	C₂²	1	1	yes	characteristic
34	#5832	C₂²	1	1	yes	characteristic
35	#5832	C₂²	1	1	yes	characteristic
36	Dic₃×#41	C₂²	1	1	yes	characteristic
37	Dic₃×#41	C₂²	1	1	yes	characteristic
38	#5732	C₄	1	1	yes	characteristic
39	#5721	C₄	1	1	yes	characteristic
40	#5718	C₄	1	1	yes	characteristic
41	#5713	C₄	1	1	yes	characteristic
42	#5681	C₄	1	1	yes	characteristic
43	#5681	C₄	1	1	yes	characteristic
44	#5671	C₄	1	1	yes	characteristic
45	#5671	C₄	1	1	yes	characteristic
46	#5618	C₄	1	1	yes	characteristic
47	#5618	C₄	1	1	yes	characteristic
48	#5601	C₄	1	1	yes	characteristic
49	#5601	C₄	1	1	yes	characteristic
50	#5601	C₄	1	1	yes	characteristic
51	#5601	C₄	1	1	yes	characteristic
52	#5598	C₄	1	1	yes	characteristic
53	#5598	C₄	1	1	yes	characteristic
54	#5557	C₂²	1	1	yes	characteristic
55	#5557	C₂²	1	1	yes	characteristic
56	#5538	C₂²	1	1	yes	characteristic
57	#5538	C₂²	1	1	yes	characteristic
58	#5538	C₂²	1	1	yes	characteristic
59	#5538	C₂²	1	1	yes	characteristic
60	C₄×#237	C₂²	1	1	yes	characteristic
61	C₄×#237	C₂²	1	1	yes	characteristic
62	C₄×#235	C₂²	1	1	yes	characteristic
63	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
64	C₃×#436	C₂²	1	1	yes	characteristic
65	C₃×#436	C₂²	1	1	yes	characteristic
66	C₃×#435	C₂²	1	1	yes	characteristic
67	C₃×#435	C₂²	1	1	yes	characteristic
68	C₃×#435	C₂²	1	1	yes	characteristic
69	C₃×#435	C₂²	1	1	yes	characteristic
70	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
71	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
72	C₃×#432	C₂²	1	1	yes	characteristic
73	C₃×#431	C₂²	1	1	yes	characteristic
74	C₃×#408	C₂²	1	1	yes	characteristic
75	C₃×#408	C₂²	1	1	yes	characteristic
76	C₃×#408	C₂²	1	1	yes	characteristic
77	C₃×#408	C₂²	1	1	yes	characteristic
78	#5234	C₂²	1	1	yes	characteristic
79	#5234	C₂²	1	1	yes	characteristic
80	#5234	C₂²	1	1	yes	characteristic
81	#5234	C₂²	1	1	yes	characteristic
82	#5128	C₂²	1	1	yes	characteristic
83	#5128	C₂²	1	1	yes	characteristic
84	#5128	C₂²	1	1	yes	characteristic
85	#5128	C₂²	1	1	yes	characteristic
86	#5127	C₂²	1	1	yes	characteristic
87	#5127	C₂²	1	1	yes	characteristic
88	#5127	C₂²	1	1	yes	characteristic
89	#5127	C₂²	1	1	yes	characteristic
90	#5122	C₂²	1	1	yes	characteristic
91	#5122	C₂²	1	1	yes	characteristic
92	#5119	C₂²	1	1	yes	characteristic
93	#5119	C₂²	1	1	yes	characteristic
94	#5118	C₂²	1	1	yes	characteristic
95	#5118	C₂²	1	1	yes	characteristic
96	Dic₃×M₁₆	C₂²	1	1	yes	characteristic
97	Dic₃×M₁₆	C₂²	1	1	yes	characteristic
98	#5111	C₂²	1	1	yes	characteristic
99	#5111	C₂²	1	1	yes	characteristic
100	#5111	C₂²	1	1	yes	characteristic
101	#5111	C₂²	1	1	yes	characteristic
102	C₈×#67	C₂²	1	1	yes	characteristic
103	C₈×#67	C₂²	1	1	yes	characteristic
104	C₈×#67	C₂²	1	1	yes	characteristic
105	C₈×#67	C₂²	1	1	yes	characteristic
106	#5102	C₂²	1	1	yes	characteristic
107	#5102	C₂²	1	1	yes	characteristic
108	#5101	C₂²	1	1	yes	characteristic
109	#5101	C₂²	1	1	yes	characteristic
110	C₂×#815	C₂²	1	1	yes	characteristic
111	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
112	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
113	C₂×C₈×Dic₃	C₂²	1	1	yes	characteristic
114	#5011	C₂²	1	1	yes	characteristic
115	#5011	C₂²	1	1	yes	characteristic
116	#5011	C₂²	1	1	yes	characteristic
117	#5011	C₂²	1	1	yes	characteristic
118	#5011	C₂²	1	1	yes	characteristic
119	#5011	C₂²	1	1	yes	characteristic
120	#5011	C₂²	1	1	yes	characteristic
121	#5011	C₂²	1	1	yes	characteristic
122	#4926	C₂²	1	1	yes	characteristic
123	#4926	C₂²	1	1	yes	characteristic
124	#4840	C₂²	1	1	yes	characteristic
125	#4840	C₂²	1	1	yes	characteristic
126	#4839	C₂²	1	1	yes	characteristic
127	#4839	C₂²	1	1	yes	characteristic
128	#4837	C₂²	1	1	yes	characteristic
129	#4835	C₂²	1	1	yes	characteristic
130	#4833	C₂²	1	1	yes	characteristic
131	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
132	#4828	C₂²	1	1	yes	characteristic
133	#4828	C₂²	1	1	yes	characteristic
134	#4828	C₂²	1	1	yes	characteristic
135	#4828	C₂²	1	1	yes	characteristic
136	#4828	C₂²	1	1	yes	characteristic
137	#4828	C₂²	1	1	yes	characteristic
138	#4828	C₂²	1	1	yes	characteristic
139	#4828	C₂²	1	1	yes	characteristic
140	#4730	C₂²	1	1	yes	characteristic
141	#4730	C₂²	1	1	yes	characteristic
142	#4730	C₂²	1	1	yes	characteristic
143	#4730	C₂²	1	1	yes	characteristic
144	#4729	C₂²	1	1	yes	characteristic
145	#4729	C₂²	1	1	yes	characteristic
146	#4729	C₂²	1	1	yes	characteristic
147	#4729	C₂²	1	1	yes	characteristic
148	#4728	C₂²	1	1	yes	characteristic
149	#4728	C₂²	1	1	yes	characteristic
150	#4728	C₂²	1	1	yes	characteristic
151	#4728	C₂²	1	1	yes	characteristic
152	#4727	C₂²	1	1	yes	characteristic
153	#4727	C₂²	1	1	yes	characteristic
154	#4727	C₂²	1	1	yes	characteristic
155	#4727	C₂²	1	1	yes	characteristic
156	#67⋊C₈	C₂²	1	1	yes	characteristic
157	#67⋊C₈	C₂²	1	1	yes	characteristic
158	#67⋊C₈	C₂²	1	1	yes	characteristic
159	#67⋊C₈	C₂²	1	1	yes	characteristic
160	#4720	C₂²	1	1	yes	characteristic
161	#4720	C₂²	1	1	yes	characteristic
162	#4720	C₂²	1	1	yes	characteristic
163	#4720	C₂²	1	1	yes	characteristic
164	#4720	C₂²	1	1	yes	characteristic
165	#4720	C₂²	1	1	yes	characteristic
166	#4720	C₂²	1	1	yes	characteristic
167	#4720	C₂²	1	1	yes	characteristic
168	#4720	C₂²	1	1	yes	characteristic
169	#4720	C₂²	1	1	yes	characteristic
170	#4720	C₂²	1	1	yes	characteristic
171	#4720	C₂²	1	1	yes	characteristic
172	#4719	C₂²	1	1	yes	characteristic
173	#4719	C₂²	1	1	yes	characteristic
174	#4719	C₂²	1	1	yes	characteristic
175	#4719	C₂²	1	1	yes	characteristic
176	#4719	C₂²	1	1	yes	characteristic
177	#4719	C₂²	1	1	yes	characteristic
178	#4719	C₂²	1	1	yes	characteristic
179	#4719	C₂²	1	1	yes	characteristic
180	#4718	C₂²	1	1	yes	characteristic
181	#4718	C₂²	1	1	yes	characteristic
182	#4718	C₂²	1	1	yes	characteristic
183	#4718	C₂²	1	1	yes	characteristic
184	#4718	C₂²	1	1	yes	characteristic
185	#4718	C₂²	1	1	yes	characteristic
186	#4718	C₂²	1	1	yes	characteristic
187	#4718	C₂²	1	1	yes	characteristic
188	#4707	C₂²	1	1	yes	characteristic
189	#4705	C₂²	1	1	yes	characteristic
190	#4705	C₂²	1	1	yes	characteristic
191	D₃×#97	C₂²	1	1	yes	characteristic
192	#4701	C₂²	1	1	yes	characteristic
193	#4701	C₂²	1	1	yes	characteristic
194	#4701	C₂²	1	1	yes	characteristic
195	#4701	C₂²	1	1	yes	characteristic
196	#4690	C₂²	1	1	yes	characteristic
197	#4690	C₂²	1	1	yes	characteristic
198	#4689	C₂²	1	1	yes	characteristic
199	#4689	C₂²	1	1	yes	characteristic
200	#4679	C₂²	1	1	yes	characteristic
201	#4679	C₂²	1	1	yes	characteristic
202	C₈×Dic₆	C₂²	1	1	yes	characteristic
203	C₈×Dic₆	C₂²	1	1	yes	characteristic
204	#3480	—	3	1	no	—
205	#2995	—	3	1	no	—
206	#2995	—	3	1	no	—
207	#2994	—	3	1	no	—
208	#2993	—	3	1	no	—
209	#2992	—	3	1	no	—
210	#2992	—	3	1	no	—
211	#2990	—	3	1	no	—
212	#2989	—	3	1	no	—
213	#2984	—	3	1	no	—
214	#2983	—	3	1	no	—
215	#2981	—	3	1	no	—
216	#2981	—	3	1	no	—
217	#2981	D₃	1	1	yes	characteristic, complemented
218	#2980	—	3	1	no	—
219	#2980	—	3	1	no	—
220	#2979	—	3	1	no	—
221	#2970	—	3	1	no	—
222	#2969	—	3	1	no	—
223	#2968	—	3	1	no	—
224	#2968	—	3	1	no	—
225	#2967	—	3	1	no	—
226	#2967	—	3	1	no	—
227	#2966	—	3	1	no	—
228	#2965	—	3	1	no	—
229	#2925	—	3	1	no	—
230	#2925	—	3	1	no	—
231	#2925	—	3	1	no	—
232	#2923	—	3	1	no	—
233	#2923	—	3	1	no	—
234	#2922	—	3	1	no	—
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	C₂×C₃×#41	C₂³	1	1	yes	characteristic
237	C₂×#237	C₂×C₄	1	1	yes	characteristic
238	C₂×#237	C₂×C₄	1	1	yes	characteristic
239	C₂×#235	C₂³	1	1	yes	characteristic
240	C₂²×Dic₆	C₂×C₄	1	1	yes	characteristic
241	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
245	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
246	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
247	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
248	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
249	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
250	C₃×#127	C₂×C₄	1	1	yes	characteristic
251	C₃×#124	C₂×C₄	1	1	yes	characteristic
252	C₃×#124	C₂×C₄	1	1	yes	characteristic
253	C₃×#121	C₂×C₄	1	1	yes	characteristic
254	C₃×#121	C₂×C₄	1	1	yes	characteristic
255	C₃×#121	C₂×C₄	1	1	yes	characteristic
256	C₃×#121	C₂×C₄	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	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
262	#947	C₂×C₄	1	1	yes	characteristic
263	#947	C₂×C₄	1	1	yes	characteristic
264	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
265	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
266	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
267	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
268	#944	C₂×C₄	1	1	yes	characteristic
269	#944	C₂×C₄	1	1	yes	characteristic
270	#940	C₂×C₄	1	1	yes	characteristic
271	#940	C₂×C₄	1	1	yes	characteristic
272	#939	C₂×C₄	1	1	yes	characteristic
273	#939	C₂×C₄	1	1	yes	characteristic
274	#939	C₂×C₄	1	1	yes	characteristic
275	#939	C₂×C₄	1	1	yes	characteristic
276	#939	C₂×C₄	1	1	yes	characteristic
277	#939	C₂×C₄	1	1	yes	characteristic
278	#939	C₂×C₄	1	1	yes	characteristic
279	#939	C₂×C₄	1	1	yes	characteristic
280	#939	C₂×C₄	1	1	yes	characteristic
281	#939	C₂×C₄	1	1	yes	characteristic
282	#939	C₂×C₄	1	1	yes	characteristic
283	#939	C₂×C₄	1	1	yes	characteristic
284	#938	C₂×C₄	1	1	yes	characteristic
285	#938	C₂×C₄	1	1	yes	characteristic
286	#936	C₂×C₄	1	1	yes	characteristic
287	#936	C₂×C₄	1	1	yes	characteristic
288	#936	C₂×C₄	1	1	yes	characteristic
289	#936	C₂×C₄	1	1	yes	characteristic
290	#935	C₂×C₄	1	1	yes	characteristic
291	#935	C₂×C₄	1	1	yes	characteristic
292	#935	C₂×C₄	1	1	yes	characteristic
293	#935	C₂×C₄	1	1	yes	characteristic
294	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
295	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
296	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
297	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
298	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
299	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
300	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
301	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
302	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
303	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
304	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
305	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
306	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
307	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
308	C₄×#67	C₂×C₄	1	1	yes	characteristic
309	C₄×#67	C₂×C₄	1	1	yes	characteristic
310	C₄×#67	C₂×C₄	1	1	yes	characteristic
311	C₄×#67	C₂×C₄	1	1	yes	characteristic
312	C₄×#67	C₂³	1	1	yes	characteristic
313	C₄×#67	C₂³	1	1	yes	characteristic
314	C₄×#67	C₂³	1	1	yes	characteristic
315	C₄×#67	C₂³	1	1	yes	characteristic
316	C₄×#67	C₂³	1	1	yes	characteristic
317	C₄×#67	C₂³	1	1	yes	characteristic
318	C₄×#67	C₂³	1	1	yes	characteristic
319	C₄×#67	C₂³	1	1	yes	characteristic
320	#926	C₂³	1	1	yes	characteristic
321	#926	C₂³	1	1	yes	characteristic
322	#926	C₂³	1	1	yes	characteristic
323	#926	C₂³	1	1	yes	characteristic
324	#926	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
326	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
327	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
328	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
330	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
331	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
332	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
333	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
334	C₂×#208	C₂³	1	1	yes	characteristic
335	C₂×#208	C₂³	1	1	yes	characteristic
336	C₂×#208	C₂³	1	1	yes	characteristic
337	C₂×#208	C₂³	1	1	yes	characteristic
338	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
339	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
340	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
341	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
342	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
343	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
344	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
345	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
346	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
347	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
348	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
349	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
350	#898	C₂×C₄	1	1	yes	characteristic
351	#898	C₂×C₄	1	1	yes	characteristic
352	#898	C₂×C₄	1	1	yes	characteristic
353	#898	C₂×C₄	1	1	yes	characteristic
354	#897	C₂×C₄	1	1	yes	characteristic
355	#897	C₂×C₄	1	1	yes	characteristic
356	#892	C₂×C₄	1	1	yes	characteristic
357	#892	C₂×C₄	1	1	yes	characteristic
358	#890	C₂×C₄	1	1	yes	characteristic
359	#890	C₂×C₄	1	1	yes	characteristic
360	#889	C₂×C₄	1	1	yes	characteristic
361	#889	C₂×C₄	1	1	yes	characteristic
362	#889	C₂×C₄	1	1	yes	characteristic
363	#889	C₂×C₄	1	1	yes	characteristic
364	#887	C₂×C₄	1	1	yes	characteristic
365	#887	C₂×C₄	1	1	yes	characteristic
366	#886	C₂×C₄	1	1	yes	characteristic
367	#886	C₂×C₄	1	1	yes	characteristic
368	#886	C₂×C₄	1	1	yes	characteristic
369	#886	C₂×C₄	1	1	yes	characteristic
370	#885	C₂×C₄	1	1	yes	characteristic
371	#885	C₂×C₄	1	1	yes	characteristic
372	#885	C₂×C₄	1	1	yes	characteristic
373	#885	C₂×C₄	1	1	yes	characteristic
374	#883	C₂×C₄	1	1	yes	characteristic
375	#883	C₂×C₄	1	1	yes	characteristic
376	#883	C₂×C₄	1	1	yes	characteristic
377	#883	C₂×C₄	1	1	yes	characteristic
378	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
379	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
380	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
381	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
382	#879	C₂×C₄	1	1	yes	characteristic
383	#879	C₂×C₄	1	1	yes	characteristic
384	#879	C₂×C₄	1	1	yes	characteristic
385	#879	C₂×C₄	1	1	yes	characteristic
386	#879	C₂×C₄	1	1	yes	characteristic
387	#879	C₂×C₄	1	1	yes	characteristic
388	#879	C₂×C₄	1	1	yes	characteristic
389	#879	C₂×C₄	1	1	yes	characteristic
390	#878	C₂×C₄	1	1	yes	characteristic
391	#878	C₂×C₄	1	1	yes	characteristic
392	#878	C₂×C₄	1	1	yes	characteristic
393	#878	C₂×C₄	1	1	yes	characteristic
394	#877	C₂×C₄	1	1	yes	characteristic
395	#877	C₂×C₄	1	1	yes	characteristic
396	#877	C₂×C₄	1	1	yes	characteristic
397	#877	C₂×C₄	1	1	yes	characteristic
398	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
399	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
400	#872	C₂³	1	1	yes	characteristic
401	#872	C₂³	1	1	yes	characteristic
402	C₄²×D₃	C₂³	1	1	yes	characteristic
403	C₄²×D₃	C₂³	1	1	yes	characteristic
404	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
405	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
406	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
407	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
408	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
409	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
410	C₄×Dic₆	C₂³	1	1	yes	characteristic
411	C₄×Dic₆	C₂³	1	1	yes	characteristic
412	C₄×Dic₆	C₂³	1	1	yes	characteristic
413	C₄×Dic₆	C₂³	1	1	yes	characteristic
414	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
419	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
425	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
430	C₃×#97	C₂³	1	1	yes	characteristic
431	C₃×#97	C₂³	1	1	yes	characteristic
432	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
433	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
434	#830	C₂³	1	1	yes	characteristic
435	#830	C₂³	1	1	yes	characteristic
436	#830	C₂³	1	1	yes	characteristic
437	#830	C₂³	1	1	yes	characteristic
438	#830	C₂³	1	1	yes	characteristic
439	#830	C₂³	1	1	yes	characteristic
440	#830	C₂³	1	1	yes	characteristic
441	#830	C₂³	1	1	yes	characteristic
442	#830	C₂³	1	1	yes	characteristic
443	#830	C₂³	1	1	yes	characteristic
444	#830	C₂³	1	1	yes	characteristic
445	#830	C₂³	1	1	yes	characteristic
446	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
447	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
448	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
449	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
450	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
451	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
452	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
453	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
454	#815	C₂³	1	1	yes	characteristic
455	#815	C₂³	1	1	yes	characteristic
456	#815	C₂³	1	1	yes	characteristic
457	#815	C₂³	1	1	yes	characteristic
458	#815	C₂³	1	1	yes	characteristic
459	#815	C₂³	1	1	yes	characteristic
460	#815	C₂³	1	1	yes	characteristic
461	#815	C₂³	1	1	yes	characteristic
462	#815	C₂³	1	1	yes	characteristic
463	#815	C₂³	1	1	yes	characteristic
464	#815	C₂³	1	1	yes	characteristic
465	#815	C₂³	1	1	yes	characteristic
466	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
467	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
468	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
469	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
470	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
471	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
472	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
473	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
474	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
475	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
476	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
477	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
478	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
479	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
480	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
481	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
482	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
483	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
484	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
485	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
486	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
487	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
488	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
489	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
490	C₈×Dic₃	C₂³	1	1	yes	characteristic
491	C₈×Dic₃	C₂³	1	1	yes	characteristic
492	C₈×Dic₃	C₂³	1	1	yes	characteristic
493	C₈×Dic₃	C₂³	1	1	yes	characteristic
494	C₈×Dic₃	C₂³	1	1	yes	characteristic
495	C₈×Dic₃	C₂³	1	1	yes	characteristic
496	C₈×Dic₃	C₂³	1	1	yes	characteristic
497	C₈×Dic₃	C₂³	1	1	yes	characteristic
498	C₈×Dic₃	C₂³	1	1	yes	characteristic
499	C₈×Dic₃	C₂³	1	1	yes	characteristic
500	C₈×Dic₃	C₂³	1	1	yes	characteristic
501	C₈×Dic₃	C₂³	1	1	yes	characteristic
502	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
503	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
504	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
505	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
506	#803	C₂³	1	1	yes	characteristic
507	#803	C₂³	1	1	yes	characteristic
508	#803	C₂³	1	1	yes	characteristic
509	#803	C₂³	1	1	yes	characteristic
510	#559	—	3	1	no	—
511	#559	—	3	1	no	—
512	#559	—	3	1	no	—
513	#557	—	3	1	no	—
514	#556	—	3	1	no	—
515	#556	—	3	1	no	—
516	#556	—	3	1	no	—
517	#553	—	3	1	no	—
518	#553	—	3	1	no	—
519	#553	—	3	1	no	—
520	#553	—	3	1	no	—
521	#553	—	3	1	no	—
522	#553	—	3	1	no	—
523	#550	—	3	1	no	—
524	#548	—	3	1	no	—
525	#548	—	3	1	no	—
526	#532	—	3	1	no	—
527	#532	—	3	1	no	—
528	#532	C₂×D₃	1	1	yes	characteristic
529	#529	—	3	1	no	—
530	#529	—	3	1	no	—
531	#529	—	3	1	no	—
532	#529	—	3	1	no	—
533	#529	—	3	1	no	—
534	#529	—	3	1	no	—
535	C₄×#41	—	3	1	no	—
536	C₄×#41	—	3	1	no	—
537	C₄×#41	—	3	1	no	—
538	C₄×#41	—	3	1	no	—
539	C₄×#41	—	3	1	no	—
540	C₂×C₄×Q₈	—	3	1	no	—
541	#446	—	3	1	no	—
542	#446	—	3	1	no	—
543	#446	—	3	1	no	—
544	#446	—	3	1	no	—
545	#446	—	3	1	no	—
546	#446	—	3	1	no	—
547	#446	—	3	1	no	—
548	#446	—	3	1	no	—
549	#446	—	3	1	no	—
550	#446	—	3	1	no	—
551	#446	—	3	1	no	—
552	#446	—	3	1	no	—
553	#446	—	3	1	no	—
554	#446	—	3	1	no	—
555	C₈×Q₈	—	3	1	no	—
556	C₈×Q₈	—	3	1	no	—
557	#436	—	3	1	no	—
558	#436	—	3	1	no	—
559	#436	—	3	1	no	—
560	#436	—	3	1	no	—
561	#436	—	3	1	no	—
562	#436	—	3	1	no	—
563	#436	—	3	1	no	—
564	#436	—	3	1	no	—
565	#436	C₂×D₃	1	1	yes	characteristic
566	#436	C₂×D₃	1	1	yes	characteristic
567	#435	—	3	1	no	—
568	#435	—	3	1	no	—
569	#435	—	3	1	no	—
570	#435	—	3	1	no	—
571	#435	—	3	1	no	—
572	#435	—	3	1	no	—
573	#435	—	3	1	no	—
574	#435	—	3	1	no	—
575	#435	—	3	1	no	—
576	#435	—	3	1	no	—
577	#435	—	3	1	no	—
578	#435	—	3	1	no	—
579	#435	—	3	1	no	—
580	#435	—	3	1	no	—
581	#435	—	3	1	no	—
582	#435	—	3	1	no	—
583	#435	—	3	1	no	—
584	#435	—	3	1	no	—
585	#435	—	3	1	no	—
586	#435	—	3	1	no	—
587	#435	—	3	1	no	—
588	#435	—	3	1	no	—
589	#435	—	3	1	no	—
590	#435	—	3	1	no	—
591	#435	C₂×D₃	1	1	yes	characteristic
592	#435	C₂×D₃	1	1	yes	characteristic
593	#435	C₂×D₃	1	1	yes	characteristic
594	#435	C₂×D₃	1	1	yes	characteristic
595	C₈×D₄	—	3	1	no	—
596	C₈×D₄	—	3	1	no	—
597	C₈×D₄	—	3	1	no	—
598	C₈×D₄	—	3	1	no	—
599	C₈×D₄	—	3	1	no	—
600	C₈×D₄	—	3	1	no	—
601	C₈×D₄	—	3	1	no	—
602	C₈×D₄	—	3	1	no	—
603	C₈×D₄	C₂×D₃	1	1	yes	characteristic
604	C₈×D₄	C₂×D₃	1	1	yes	characteristic
605	#433	—	3	1	no	—
606	#433	—	3	1	no	—
607	#433	—	3	1	no	—
608	#433	—	3	1	no	—
609	#433	—	3	1	no	—
610	#433	—	3	1	no	—
611	#433	—	3	1	no	—
612	#433	—	3	1	no	—
613	#433	—	3	1	no	—
614	#433	—	3	1	no	—
615	#433	—	3	1	no	—
616	#433	—	3	1	no	—
617	#433	—	3	1	no	—
618	#433	—	3	1	no	—
619	#433	—	3	1	no	—
620	#433	—	3	1	no	—
621	#432	—	3	1	no	—
622	#432	—	3	1	no	—
623	#432	—	3	1	no	—
624	#432	—	3	1	no	—
625	#432	—	3	1	no	—
626	#432	—	3	1	no	—
627	#432	—	3	1	no	—
628	#432	—	3	1	no	—
629	#432	—	3	1	no	—
630	#432	—	3	1	no	—
631	#432	—	3	1	no	—
632	#432	—	3	1	no	—
633	#432	—	3	1	no	—
634	#432	C₂×D₃	1	1	yes	characteristic
635	#431	—	3	1	no	—
636	#431	—	3	1	no	—
637	#431	—	3	1	no	—
638	#431	—	3	1	no	—
639	#431	—	3	1	no	—
640	#431	—	3	1	no	—
641	#431	—	3	1	no	—
642	#431	—	3	1	no	—
643	#431	—	3	1	no	—
644	#431	C₂×D₃	1	1	yes	characteristic
645	#424	—	3	1	no	—
646	#424	—	3	1	no	—
647	#424	—	3	1	no	—
648	#424	—	3	1	no	—
649	#424	—	3	1	no	—
650	#424	—	3	1	no	—
651	#423	—	3	1	no	—
652	#423	—	3	1	no	—
653	#423	—	3	1	no	—
654	C₂×C₄⋊C₈	—	3	1	no	—
655	C₂×C₄⋊C₈	—	3	1	no	—
656	C₂×C₄⋊C₈	—	3	1	no	—
657	#408	—	3	1	no	—
658	#408	—	3	1	no	—
659	#408	—	3	1	no	—
660	#408	—	3	1	no	—
661	#408	—	3	1	no	—
662	#408	—	3	1	no	—
663	#408	—	3	1	no	—
664	#408	—	3	1	no	—
665	#408	C₂×D₃	1	1	yes	characteristic
666	#408	C₂×D₃	1	1	yes	characteristic
667	#408	C₂×D₃	1	1	yes	characteristic
668	#408	C₂×D₃	1	1	yes	characteristic
669	#405	—	3	1	no	—
670	#405	—	3	1	no	—
671	#405	—	3	1	no	—
672	#405	—	3	1	no	—
673	#405	—	3	1	no	—
674	#405	—	3	1	no	—
675	C₄×M₁₆	—	3	1	no	—
676	C₄×M₁₆	—	3	1	no	—
677	C₄×M₁₆	—	3	1	no	—
678	C₂×#97	—	3	1	no	—
679	C₂×#97	—	3	1	no	—
680	C₂×C₄×C₈	—	3	1	no	—
681	C₃×#41	—	4	1	no	—
682	C₃×#41	—	4	1	no	—
683	C₃×#41	—	4	1	no	—
684	C₃×#41	—	4	1	no	—
685	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
697	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
698	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
699	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
700	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
701	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
702	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
703	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
704	C₂×#67	C₂²×C₄	1	1	yes	characteristic
705	C₂×#67	C₂²×C₄	1	1	yes	characteristic
706	C₂×#67	C₂²×C₄	1	1	yes	characteristic
707	C₂×#67	C₂²×C₄	1	1	yes	characteristic
708	C₂×#67	C₂²×C₄	1	1	yes	characteristic
709	C₂×#67	C₂²×C₄	1	1	yes	characteristic
710	C₂×#67	C₂²×C₄	1	1	yes	characteristic
711	C₂×#67	C₂²×C₄	1	1	yes	characteristic
712	C₂×#67	C₂²×C₄	1	1	yes	characteristic
713	C₂×#67	C₂²×C₄	1	1	yes	characteristic
714	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
715	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
716	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
717	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
718	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
719	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
720	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
721	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
722	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
723	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
724	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
725	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
726	#237	—	4	2	no	—
727	#237	—	4	2	no	—
728	#235	—	4	1	no	—
729	#235	—	4	1	no	—
730	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
731	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
733	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
736	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
737	C₂×Dic₆	—	4	2	no	—
738	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
739	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
740	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
741	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
742	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
743	C₃×M₁₆	—	4	1	no	—
744	C₃×M₁₆	—	4	1	no	—
745	C₃×M₁₆	—	4	1	no	—
746	C₃×M₁₆	—	4	1	no	—
747	C₂×C₃×C₈	—	4	1	no	—
748	C₂×C₃×C₈	—	4	1	no	—
749	C₂×C₃×C₈	—	4	1	no	—
750	C₂×C₃×C₈	—	4	1	no	—
751	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
752	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
753	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
754	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
755	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
756	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
757	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
758	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
759	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
765	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
769	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
770	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
771	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
772	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
773	C₃×C₄²	C₂⁴	1	1	yes	characteristic
774	C₃×C₄²	C₂⁴	1	1	yes	characteristic
775	#217	C₂²×C₄	1	1	yes	characteristic
776	#217	C₂²×C₄	1	1	yes	characteristic
777	#217	C₂²×C₄	1	1	yes	characteristic
778	#217	C₂²×C₄	1	1	yes	characteristic
779	#217	C₂²×C₄	1	1	yes	characteristic
780	#217	C₂²×C₄	1	1	yes	characteristic
781	#217	C₂²×C₄	1	1	yes	characteristic
782	#217	C₂²×C₄	1	1	yes	characteristic
783	#217	C₂²×C₄	1	1	yes	characteristic
784	#217	C₂²×C₄	1	1	yes	characteristic
785	#217	C₂²×C₄	1	1	yes	characteristic
786	#217	C₂²×C₄	1	1	yes	characteristic
787	#217	C₂²×C₄	1	1	yes	characteristic
788	#217	C₂²×C₄	1	1	yes	characteristic
789	#217	C₂²×C₄	1	1	yes	characteristic
790	#217	C₂²×C₄	1	1	yes	characteristic
791	#217	C₂²×C₄	1	1	yes	characteristic
792	#217	C₂²×C₄	1	1	yes	characteristic
793	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
798	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
799	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
800	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
801	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
802	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
803	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
804	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
805	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
806	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
807	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
808	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
809	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
810	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
811	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
812	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
813	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
814	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
815	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
816	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
817	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
818	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
819	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
820	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
821	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
822	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
823	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
824	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
825	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
826	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
827	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
828	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
829	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
830	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
831	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
832	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
833	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
834	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
835	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
836	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
837	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
838	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
839	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
840	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
841	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
842	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
843	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
844	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
845	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
846	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
847	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
848	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
849	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
850	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
851	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
852	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
853	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
854	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
855	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
856	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
857	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
858	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
859	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
860	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
861	#208	—	4	1	no	—
862	#208	—	4	1	no	—
863	#208	—	4	1	no	—
864	#208	—	4	1	no	—
865	C₂×C₃⋊C₈	—	4	1	no	—
866	C₂×C₃⋊C₈	—	4	1	no	—
867	C₂×C₃⋊C₈	—	4	1	no	—
868	C₂×C₃⋊C₈	—	4	1	no	—
869	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
870	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
871	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
872	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
873	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
874	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
875	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
876	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
877	ΓL(1,𝔽₂₅)	—	4	1	no	—
878	ΓL(1,𝔽₂₅)	—	4	1	no	—
879	ΓL(1,𝔽₂₅)	—	4	1	no	—
880	ΓL(1,𝔽₂₅)	—	4	1	no	—
881	D₃×C₈	—	4	1	no	—
882	D₃×C₈	—	4	1	no	—
883	D₃×C₈	—	4	1	no	—
884	D₃×C₈	—	4	1	no	—
885	C₂×#41	—	3	1	no	—
886	C₂×#41	—	3	1	no	—
887	C₂×#41	—	3	1	no	—
888	C₂×#41	C₂²×D₃	1	1	yes	characteristic
889	C₂×#41	C₂²×D₃	1	1	yes	characteristic
890	C₂²×Q₈	—	3	1	no	—
891	C₂×M₁₆	—	3	1	no	—
892	C₂×M₁₆	—	3	1	no	—
893	C₂×M₁₆	—	3	1	no	—
894	C₂×M₁₆	—	3	1	no	—
895	C₂×M₁₆	—	3	1	no	—
896	C₂×M₁₆	—	3	1	no	—
897	C₂×M₁₆	—	3	1	no	—
898	C₂×M₁₆	—	3	1	no	—
899	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
900	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
901	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
902	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
903	C₂²×C₈	—	3	1	no	—
904	C₂²×C₈	—	3	1	no	—
905	C₂²×C₈	—	3	1	no	—
906	C₂²×C₈	—	3	1	no	—
907	C₂²×C₈	—	3	1	no	—
908	C₂²×C₈	—	3	1	no	—
909	C₂²×C₈	—	3	1	no	—
910	C₂²×C₈	—	3	1	no	—
911	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
912	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
913	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
914	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
915	C₄⋊Q₈	—	3	1	no	—
916	C₄⋊Q₈	—	3	1	no	—
917	C₄⋊Q₈	C₄×D₃	1	1	yes	characteristic
918	#127	—	3	1	no	—
919	#127	—	3	1	no	—
920	#127	C₄×D₃	1	1	yes	characteristic
921	#126	—	3	1	no	—
922	#126	—	3	1	no	—
923	#126	—	3	1	no	—
924	#126	—	3	1	no	—
925	#126	—	3	1	no	—
926	#126	—	3	1	no	—
927	#126	—	3	1	no	—
928	#126	—	3	1	no	—
929	#126	—	3	1	no	—
930	#126	—	3	1	no	—
931	#126	—	3	1	no	—
932	#126	—	3	1	no	—
933	#125	—	3	1	no	—
934	#125	—	3	1	no	—
935	#125	—	3	1	no	—
936	#125	—	3	1	no	—
937	#125	—	3	1	no	—
938	#125	—	3	1	no	—
939	#124	—	3	1	no	—
940	#124	—	3	1	no	—
941	#124	—	3	1	no	—
942	#124	—	3	1	no	—
943	#124	—	3	1	no	—
944	#124	—	3	1	no	—
945	#124	—	3	1	no	—
946	#124	—	3	1	no	—
947	#124	—	3	1	no	—
948	#124	—	3	1	no	—
949	#124	C₄×D₃	1	1	yes	characteristic
950	#124	C₄×D₃	1	1	yes	characteristic
951	#123	—	3	1	no	—
952	#123	—	3	1	no	—
953	#123	—	3	1	no	—
954	#123	—	3	1	no	—
955	#123	—	3	1	no	—
956	#123	—	3	1	no	—
957	#123	—	3	1	no	—
958	#123	—	3	1	no	—
959	#123	—	3	1	no	—
960	#123	—	3	1	no	—
961	#123	—	3	1	no	—
962	#123	—	3	1	no	—
963	C₂²⋊Q₈	—	3	1	no	—
964	C₂²⋊Q₈	—	3	1	no	—
965	C₂²⋊Q₈	—	3	1	no	—
966	C₂²⋊Q₈	—	3	1	no	—
967	C₂²⋊Q₈	—	3	1	no	—
968	C₂²⋊Q₈	—	3	1	no	—
969	#121	—	3	1	no	—
970	#121	—	3	1	no	—
971	#121	—	3	1	no	—
972	#121	—	3	1	no	—
973	#121	—	3	1	no	—
974	#121	—	3	1	no	—
975	#121	—	3	1	no	—
976	#121	—	3	1	no	—
977	#121	—	3	1	no	—
978	#121	—	3	1	no	—
979	#121	—	3	1	no	—
980	#121	—	3	1	no	—
981	#121	—	3	1	no	—
982	#121	—	3	1	no	—
983	#121	C₄×D₃	1	1	yes	characteristic
984	#121	C₄×D₃	1	1	yes	characteristic
985	#121	C₄×D₃	1	1	yes	characteristic
986	#121	C₄×D₃	1	1	yes	characteristic
987	C₄×Q₈	—	3	1	no	—
988	C₄×Q₈	—	3	1	no	—
989	C₄×Q₈	—	3	1	no	—
990	C₄×Q₈	—	3	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	—	3	1	no	—
1003	C₄×D₄	—	3	1	no	—
1004	C₄×D₄	—	3	1	no	—
1005	C₄×D₄	—	3	1	no	—
1006	C₄×D₄	—	3	1	no	—
1007	C₄×D₄	—	3	1	no	—
1008	C₄×D₄	—	3	1	no	—
1009	C₄×D₄	—	3	1	no	—
1010	C₄×D₄	—	3	1	no	—
1011	C₄×D₄	—	3	1	no	—
1012	C₄×D₄	—	3	1	no	—
1013	C₄×D₄	—	3	1	no	—
1014	C₄×D₄	—	3	1	no	—
1015	C₄×D₄	—	3	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	—	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	—	3	1	no	—
1032	C₄×D₄	—	3	1	no	—
1033	C₄×D₄	—	3	1	no	—
1034	C₄×D₄	—	3	1	no	—
1035	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1036	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1037	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1038	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1039	#117	—	3	1	no	—
1040	#117	—	3	1	no	—
1041	#117	—	3	1	no	—
1042	#117	—	3	1	no	—
1043	#117	—	3	1	no	—
1044	#117	—	3	1	no	—
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	C₂×C₄⋊C₄	—	3	1	no	—
1053	C₂×C₄⋊C₄	—	3	1	no	—
1054	C₂×C₄⋊C₄	—	3	1	no	—
1055	C₂×C₄²	—	3	1	no	—
1056	C₂×C₄²	—	3	1	no	—
1057	C₂×C₄²	—	3	1	no	—
1058	C₂×C₄²	—	3	1	no	—
1059	C₂×C₄²	—	3	1	no	—
1060	C₂×C₄²	—	3	1	no	—
1061	C₂×C₄²	—	3	1	no	—
1062	C₂×C₄²	—	3	1	no	—
1063	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1064	C₄⋊C₈	—	3	1	no	—
1065	C₄⋊C₈	—	3	1	no	—
1066	C₄⋊C₈	—	3	1	no	—
1067	C₄⋊C₈	—	3	1	no	—
1068	C₄⋊C₈	—	3	1	no	—
1069	C₄⋊C₈	—	3	1	no	—
1070	C₄⋊C₈	—	3	1	no	—
1071	C₄⋊C₈	—	3	1	no	—
1072	C₄⋊C₈	—	3	1	no	—
1073	C₄⋊C₈	—	3	1	no	—
1074	C₄⋊C₈	—	3	1	no	—
1075	C₄⋊C₈	—	3	1	no	—
1076	C₄⋊C₈	—	3	1	no	—
1077	C₄⋊C₈	—	3	1	no	—
1078	C₄⋊C₈	—	3	1	no	—
1079	C₄⋊C₈	—	3	1	no	—
1080	C₄⋊C₈	—	3	1	no	—
1081	C₄⋊C₈	—	3	1	no	—
1082	C₄⋊C₈	—	3	1	no	—
1083	C₄⋊C₈	—	3	1	no	—
1084	C₄⋊C₈	—	3	1	no	—
1085	C₄⋊C₈	—	3	1	no	—
1086	C₄⋊C₈	—	3	1	no	—
1087	C₄⋊C₈	—	3	1	no	—
1088	C₄⋊C₈	—	3	1	no	—
1089	C₄⋊C₈	—	3	1	no	—
1090	C₄⋊C₈	—	3	1	no	—
1091	C₄⋊C₈	—	3	1	no	—
1092	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1093	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1094	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1095	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1096	C₂²⋊C₈	—	3	1	no	—
1097	C₂²⋊C₈	—	3	1	no	—
1098	C₂²⋊C₈	—	3	1	no	—
1099	C₂²⋊C₈	—	3	1	no	—
1100	C₂²⋊C₈	—	3	1	no	—
1101	C₂²⋊C₈	—	3	1	no	—
1102	C₂²⋊C₈	—	3	1	no	—
1103	C₂²⋊C₈	—	3	1	no	—
1104	C₂²⋊C₈	—	3	1	no	—
1105	C₂²⋊C₈	—	3	1	no	—
1106	C₂²⋊C₈	—	3	1	no	—
1107	C₂²⋊C₈	—	3	1	no	—
1108	C₂²⋊C₈	—	3	1	no	—
1109	C₂²⋊C₈	—	3	1	no	—
1110	C₂²⋊C₈	—	3	1	no	—
1111	C₂²⋊C₈	—	3	1	no	—
1112	C₂²⋊C₈	—	3	1	no	—
1113	C₂²⋊C₈	—	3	1	no	—
1114	C₂²⋊C₈	—	3	1	no	—
1115	C₂²⋊C₈	—	3	1	no	—
1116	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1117	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1118	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1119	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1120	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1121	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1122	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1123	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1124	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1125	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1126	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1127	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1128	#97	—	3	1	no	—
1129	#97	—	3	1	no	—
1130	#97	—	3	1	no	—
1131	#97	—	3	1	no	—
1132	#97	—	3	1	no	—
1133	#97	—	3	1	no	—
1134	#97	—	3	1	no	—
1135	#97	—	3	1	no	—
1136	#97	—	3	1	no	—
1137	#97	—	3	1	no	—
1138	#97	—	3	1	no	—
1139	#97	—	3	1	no	—
1140	#97	—	3	1	no	—
1141	#97	—	3	1	no	—
1142	#97	—	3	1	no	—
1143	#97	—	3	1	no	—
1144	#97	C₂²×D₃	1	1	yes	characteristic
1145	#97	C₂²×D₃	1	1	yes	characteristic
1146	C₄×C₈	—	3	1	no	—
1147	C₄×C₈	—	3	1	no	—
1148	C₄×C₈	—	3	1	no	—
1149	C₄×C₈	—	3	1	no	—
1150	C₄×C₈	—	3	1	no	—
1151	C₄×C₈	—	3	1	no	—
1152	C₄×C₈	—	3	1	no	—
1153	C₄×C₈	—	3	1	no	—
1154	C₄×C₈	—	3	1	no	—
1155	C₄×C₈	—	3	1	no	—
1156	C₄×C₈	—	3	1	no	—
1157	C₄×C₈	—	3	1	no	—
1158	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1159	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1160	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1161	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1162	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1163	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1164	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1165	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1166	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1167	C₃×Q₈	—	4	1	no	—
1168	C₃×Q₈	—	4	1	no	—
1169	C₃×D₄	—	4	1	no	—
1170	C₃×D₄	—	4	1	no	—
1171	C₃×D₄	—	4	1	no	—
1172	C₃×D₄	—	4	1	no	—
1173	C₃×D₄	—	4	1	no	—
1174	C₃×D₄	—	4	1	no	—
1175	C₃×D₄	—	4	1	no	—
1176	C₃×D₄	—	4	1	no	—
1177	C₃×D₄	—	4	1	no	—
1178	C₃×D₄	—	4	1	no	—
1179	C₂×C₃×C₄	—	2	1	no	—
1180	C₂×C₃×C₄	—	2	1	no	—
1181	C₂×C₃×C₄	—	2	1	no	—
1182	C₂×C₃×C₄	—	2	1	no	—
1183	C₂×C₃×C₄	—	2	1	no	—
1184	C₂×C₃×C₄	—	2	1	no	—
1185	C₂×C₃×C₄	—	2	1	no	—
1186	C₂×C₃×C₄	—	2	1	no	—
1187	C₂×C₃×C₄	—	2	1	no	—
1188	C₂×C₃×C₄	—	2	1	no	—
1189	C₂×C₃×C₄	—	4	1	no	—
1190	C₂×C₃×C₄	—	4	1	no	—
1191	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1192	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1193	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1194	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1195	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1196	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1197	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1198	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1199	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1200	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1201	#67	—	2	2	no	—
1202	#67	—	2	2	no	—
1203	#67	—	4	1	no	—
1204	#67	—	4	1	no	—
1205	#67	—	4	1	no	—
1206	#67	—	4	1	no	—
1207	#67	—	4	1	no	—
1208	#67	—	4	1	no	—
1209	#67	—	4	1	no	—
1210	#67	—	4	1	no	—
1211	C₂×Dic₃	—	2	2	no	—
1212	C₂×Dic₃	—	2	2	no	—
1213	C₂×Dic₃	—	2	2	no	—
1214	C₂×Dic₃	—	4	1	no	—
1215	C₂×Dic₃	—	4	1	no	—
1216	C₂×Dic₃	—	4	1	no	—
1217	C₂×Dic₃	—	4	1	no	—
1218	C₂×Dic₃	—	4	1	no	—
1219	C₂×Dic₃	—	4	1	no	—
1220	C₂×Dic₃	—	4	1	no	—
1221	C₂×Dic₃	—	4	1	no	—
1222	C₂×Dic₃	—	4	1	no	—
1223	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1224	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1225	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1226	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1227	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1228	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1229	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1230	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1231	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1232	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1233	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1234	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1235	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1236	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1237	D₁₂	—	4	1	no	—
1238	C₄×D₃	—	2	1	no	—
1239	C₄×D₃	—	2	1	no	—
1240	C₄×D₃	—	2	1	no	—
1241	C₄×D₃	—	2	1	no	—
1242	C₄×D₃	—	4	1	no	—
1243	C₄×D₃	—	4	1	no	—
1244	C₄×D₃	—	4	1	no	—
1245	C₄×D₃	—	4	1	no	—
1246	Dic₆	—	2	2	no	—
1247	Dic₆	—	2	2	no	—
1248	Dic₆	—	4	1	no	—
1249	Dic₆	—	4	1	no	—
1250	Dic₆	—	4	1	no	—
1251	C₃×C₈	—	2	1	no	—
1252	C₃×C₈	—	2	1	no	—
1253	C₃×C₈	—	2	1	no	—
1254	C₃×C₈	—	2	1	no	—
1255	C₃×C₈	—	2	1	no	—
1256	C₃×C₈	—	2	1	no	—
1257	C₃×C₈	—	2	1	no	—
1258	C₃×C₈	—	2	1	no	—
1259	C₃⋊C₈	—	2	1	no	—
1260	C₃⋊C₈	—	2	1	no	—
1261	C₃⋊C₈	—	2	1	no	—
1262	C₃⋊C₈	—	2	1	no	—
1263	C₃⋊C₈	—	2	1	no	—
1264	C₃⋊C₈	—	2	1	no	—
1265	C₃⋊C₈	—	2	1	no	—
1266	C₃⋊C₈	—	2	1	no	—
1267	#41	—	4	1	no	—
1268	#41	—	4	1	no	—
1269	#41	—	4	1	no	—
1270	#41	—	4	1	no	—
1271	#41	—	12	1	no	—
1272	#41	—	12	1	no	—
1273	#41	—	12	2	no	—
1274	#41	—	12	2	no	—
1275	C₂×Q₈	—	3	1	no	—
1276	C₂×Q₈	—	3	1	no	—
1277	C₂×Q₈	—	3	1	no	—
1278	C₂×Q₈	—	3	1	no	—
1279	C₂×Q₈	—	3	1	no	—
1280	C₂×Q₈	—	12	2	no	—
1281	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1282	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1283	C₂×D₄	—	3	1	no	—
1284	C₂×D₄	—	3	1	no	—
1285	C₂×D₄	—	3	1	no	—
1286	C₂×D₄	—	3	1	no	—
1287	C₂×D₄	—	3	1	no	—
1288	C₂×D₄	—	3	1	no	—
1289	C₂×D₄	—	3	1	no	—
1290	C₂×D₄	—	3	1	no	—
1291	C₂×D₄	—	3	1	no	—
1292	C₂×D₄	—	3	1	no	—
1293	C₂×D₄	—	3	1	no	—
1294	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1295	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1296	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1297	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1298	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1299	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1300	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1301	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1302	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1303	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1304	C₂²×C₄	—	3	1	no	—
1305	C₂²×C₄	—	3	1	no	—
1306	C₂²×C₄	—	3	1	no	—
1307	C₂²×C₄	—	3	1	no	—
1308	C₂²×C₄	—	3	1	no	—
1309	C₂²×C₄	—	3	1	no	—
1310	C₂²×C₄	—	3	1	no	—
1311	C₂²×C₄	—	3	1	no	—
1312	C₂²×C₄	—	3	1	no	—
1313	C₂²×C₄	—	3	1	no	—
1314	C₂²×C₄	—	3	1	no	—
1315	C₂²×C₄	—	3	1	no	—
1316	C₂²×C₄	—	3	1	no	—
1317	C₂²×C₄	—	3	1	no	—
1318	C₂²×C₄	—	3	1	no	—
1319	C₂²×C₄	—	3	1	no	—
1320	C₂²×C₄	—	3	1	no	—
1321	C₂²×C₄	—	3	1	no	—
1322	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1329	M₁₆	—	4	1	no	—
1330	M₁₆	—	4	1	no	—
1331	M₁₆	—	4	1	no	—
1332	M₁₆	—	4	1	no	—
1333	M₁₆	—	12	1	no	—
1334	M₁₆	—	12	1	no	—
1335	M₁₆	—	12	1	no	—
1336	M₁₆	—	12	1	no	—
1337	M₁₆	—	12	1	no	—
1338	M₁₆	—	12	1	no	—
1339	M₁₆	—	12	1	no	—
1340	M₁₆	—	12	1	no	—
1341	C₂×C₈	—	3	1	no	—
1342	C₂×C₈	—	3	1	no	—
1343	C₂×C₈	—	3	1	no	—
1344	C₂×C₈	—	3	1	no	—
1345	C₂×C₈	—	3	1	no	—
1346	C₂×C₈	—	3	1	no	—
1347	C₂×C₈	—	3	1	no	—
1348	C₂×C₈	—	3	1	no	—
1349	C₂×C₈	—	4	1	no	—
1350	C₂×C₈	—	4	1	no	—
1351	C₂×C₈	—	4	1	no	—
1352	C₂×C₈	—	4	1	no	—
1353	C₂×C₈	—	12	1	no	—
1354	C₂×C₈	—	12	1	no	—
1355	C₂×C₈	—	12	1	no	—
1356	C₂×C₈	—	12	1	no	—
1357	C₂×C₈	—	12	1	no	—
1358	C₂×C₈	—	12	1	no	—
1359	C₂×C₈	—	12	1	no	—
1360	C₂×C₈	—	12	1	no	—
1361	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1362	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1363	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1364	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1365	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1366	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1367	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1368	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1369	C₄⋊C₄	—	3	1	no	—
1370	C₄⋊C₄	—	3	1	no	—
1371	C₄⋊C₄	—	3	1	no	—
1372	C₄⋊C₄	—	3	1	no	—
1373	C₄⋊C₄	—	3	1	no	—
1374	C₄⋊C₄	—	3	1	no	—
1375	C₄⋊C₄	—	3	1	no	—
1376	C₄⋊C₄	—	3	1	no	—
1377	C₄⋊C₄	—	3	1	no	—
1378	C₄⋊C₄	—	3	1	no	—
1379	C₄⋊C₄	—	3	1	no	—
1380	C₄⋊C₄	—	3	1	no	—
1381	C₄⋊C₄	—	3	1	no	—
1382	C₄⋊C₄	—	3	1	no	—
1383	C₄⋊C₄	—	3	1	no	—
1384	C₄⋊C₄	—	3	1	no	—
1385	C₄⋊C₄	—	3	1	no	—
1386	C₄⋊C₄	—	3	1	no	—
1387	C₄⋊C₄	—	3	1	no	—
1388	C₄⋊C₄	—	3	1	no	—
1389	C₄⋊C₄	—	3	1	no	—
1390	C₄⋊C₄	—	3	1	no	—
1391	C₄⋊C₄	—	3	1	no	—
1392	C₄⋊C₄	—	3	1	no	—
1393	C₄⋊C₄	—	3	1	no	—
1394	C₄⋊C₄	—	3	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	C₂×C₄×D₃	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1407	C₂²⋊C₄	—	3	1	no	—
1408	C₂²⋊C₄	—	3	1	no	—
1409	C₂²⋊C₄	—	3	1	no	—
1410	C₂²⋊C₄	—	3	1	no	—
1411	C₂²⋊C₄	—	3	1	no	—
1412	C₂²⋊C₄	—	3	1	no	—
1413	C₂²⋊C₄	—	3	1	no	—
1414	C₂²⋊C₄	—	3	1	no	—
1415	C₂²⋊C₄	—	3	1	no	—
1416	C₂²⋊C₄	—	3	1	no	—
1417	C₂²⋊C₄	—	3	1	no	—
1418	C₂²⋊C₄	—	3	1	no	—
1419	C₂²⋊C₄	—	3	1	no	—
1420	C₂²⋊C₄	—	3	1	no	—
1421	C₂²⋊C₄	—	3	1	no	—
1422	C₂²⋊C₄	—	3	1	no	—
1423	C₂²⋊C₄	—	3	1	no	—
1424	C₂²⋊C₄	—	3	1	no	—
1425	C₂²⋊C₄	—	3	1	no	—
1426	C₂²⋊C₄	—	3	1	no	—
1427	C₂²⋊C₄	—	3	1	no	—
1428	C₂²⋊C₄	—	3	1	no	—
1429	C₂²⋊C₄	—	3	1	no	—
1430	C₂²⋊C₄	—	3	1	no	—
1431	C₂²⋊C₄	—	3	1	no	—
1432	C₂²⋊C₄	—	3	1	no	—
1433	C₂²⋊C₄	—	3	1	no	—
1434	C₂²⋊C₄	—	3	1	no	—
1435	C₂²⋊C₄	—	3	1	no	—
1436	C₂²⋊C₄	—	3	1	no	—
1437	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1438	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1439	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1440	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1441	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1442	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1443	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1444	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1445	C₄²	—	3	1	no	—
1446	C₄²	—	3	1	no	—
1447	C₄²	—	3	1	no	—
1448	C₄²	—	3	1	no	—
1449	C₄²	—	3	1	no	—
1450	C₄²	—	3	1	no	—
1451	C₄²	—	3	1	no	—
1452	C₄²	—	3	1	no	—
1453	C₄²	—	3	1	no	—
1454	C₄²	—	3	1	no	—
1455	C₄²	—	3	1	no	—
1456	C₄²	—	3	1	no	—
1457	C₄²	—	3	1	no	—
1458	C₄²	—	3	1	no	—
1459	C₄²	—	3	1	no	—
1460	C₄²	—	3	1	no	—
1461	C₄²	—	3	1	no	—
1462	C₄²	—	3	1	no	—
1463	C₄²	—	3	1	no	—
1464	C₄²	—	3	1	no	—
1465	C₄²	—	3	1	no	—
1466	C₄²	—	3	1	no	—
1467	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1468	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1469	C₄²	C₂³×D₃	1	1	yes	characteristic
1470	C₄²	C₂³×D₃	1	1	yes	characteristic
1471	C₂²×C₃	—	2	1	no	—
1472	C₂²×C₃	—	2	1	no	—
1473	C₂²×C₃	—	2	1	no	—
1474	C₂²×C₃	—	2	1	no	—
1475	C₂²×C₃	—	2	1	no	—
1476	C₂²×C₃	—	2	1	no	—
1477	C₂²×C₃	—	2	1	no	—
1478	C₂²×C₃	—	2	1	no	—
1479	C₂²×C₃	—	2	1	no	—
1480	C₂²×C₃	—	2	1	no	—
1481	C₂²×C₃	—	2	1	no	—
1482	C₂²×C₃	—	2	1	no	—
1483	C₂²×C₃	—	2	1	no	—
1484	C₂²×C₃	—	2	1	no	—
1485	C₂²×C₃	—	2	1	no	—
1486	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1487	C₂×D₃	—	2	1	no	—
1488	C₂×D₃	—	2	1	no	—
1489	C₂×D₃	—	2	1	no	—
1490	C₂×D₃	—	2	1	no	—
1491	C₂×D₃	—	2	1	no	—
1492	C₂×D₃	—	2	1	no	—
1493	C₃×C₄	—	2	1	no	—
1494	C₃×C₄	—	2	1	no	—
1495	C₃×C₄	—	2	1	no	—
1496	C₃×C₄	—	2	1	no	—
1497	C₃×C₄	—	2	1	no	—
1498	C₃×C₄	—	2	1	no	—
1499	C₃×C₄	—	2	1	no	—
1500	C₃×C₄	—	2	1	no	—
1501	C₃×C₄	—	2	1	no	—
1502	C₃×C₄	#585	1	1	yes	characteristic
1503	C₃×C₄	#585	1	1	yes	characteristic
1504	Dic₃	—	2	1	no	—
1505	Dic₃	—	2	1	no	—
1506	Dic₃	—	2	1	no	—
1507	Dic₃	—	2	1	no	—
1508	Dic₃	—	2	1	no	—
1509	Dic₃	—	2	1	no	—
1510	Dic₃	—	2	1	no	—
1511	Dic₃	—	2	1	no	—
1512	Dic₃	—	2	1	no	—
1513	Dic₃	—	2	1	no	—
1514	Dic₃	—	2	1	no	—
1515	Dic₃	—	2	1	no	—
1516	Dic₃	—	2	1	no	—
1517	Dic₃	#568	1	2	yes	—
1518	C₂³	—	3	1	no	—
1519	C₂³	—	3	1	no	—
1520	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1521	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1522	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1523	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1524	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1525	Q₈	—	4	1	no	—
1526	Q₈	—	4	1	no	—
1527	Q₈	—	6	2	no	—
1528	Q₈	—	6	2	no	—
1529	Q₈	—	12	1	no	—
1530	Q₈	—	12	1	no	—
1531	Q₈	—	12	1	no	—
1532	D₄	—	4	1	no	—
1533	D₄	—	4	1	no	—
1534	D₄	—	4	1	no	—
1535	D₄	—	4	1	no	—
1536	D₄	—	4	1	no	—
1537	D₄	—	4	1	no	—
1538	D₄	—	4	1	no	—
1539	D₄	—	4	1	no	—
1540	D₄	—	4	1	no	—
1541	D₄	—	4	1	no	—
1542	D₄	—	6	2	no	—
1543	D₄	—	6	2	no	—
1544	D₄	—	12	1	no	—
1545	D₄	—	12	1	no	—
1546	D₄	—	12	1	no	—
1547	D₄	—	12	1	no	—
1548	D₄	—	12	1	no	—
1549	D₄	—	12	1	no	—
1550	D₄	—	12	1	no	—
1551	D₄	—	12	1	no	—
1552	D₄	—	12	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	3	1	no	—
1564	C₂×C₄	—	3	1	no	—
1565	C₂×C₄	—	3	1	no	—
1566	C₂×C₄	—	3	1	no	—
1567	C₂×C₄	—	3	1	no	—
1568	C₂×C₄	—	3	1	no	—
1569	C₂×C₄	—	3	1	no	—
1570	C₂×C₄	—	3	1	no	—
1571	C₂×C₄	—	3	1	no	—
1572	C₂×C₄	—	3	1	no	—
1573	C₂×C₄	—	3	1	no	—
1574	C₂×C₄	—	3	1	no	—
1575	C₂×C₄	—	3	1	no	—
1576	C₂×C₄	—	3	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	6	2	no	—
1580	C₂×C₄	—	6	2	no	—
1581	C₂×C₄	—	6	2	no	—
1582	C₂×C₄	—	6	1	no	—
1583	C₂×C₄	—	6	1	no	—
1584	C₂×C₄	—	6	1	no	—
1585	C₂×C₄	—	6	1	no	—
1586	C₂×C₄	—	12	1	no	—
1587	C₂×C₄	—	12	1	no	—
1588	C₂×C₄	—	12	1	no	—
1589	C₂×C₄	—	12	1	no	—
1590	C₂×C₄	—	12	1	no	—
1591	C₂×C₄	—	12	1	no	—
1592	C₂×C₄	—	12	1	no	—
1593	C₂×C₄	—	12	1	no	—
1594	C₂×C₄	—	12	1	no	—
1595	C₂×C₄	—	12	1	no	—
1596	C₂×C₄	—	12	1	no	—
1597	C₂×C₄	—	12	1	no	—
1598	C₂×C₄	—	12	1	no	—
1599	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1600	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1601	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1602	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1603	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1604	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1605	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1606	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1607	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1608	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1609	C₈	—	2	1	no	—
1610	C₈	—	2	1	no	—
1611	C₈	—	2	1	no	—
1612	C₈	—	2	1	no	—
1613	C₈	—	2	1	no	—
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	6	1	no	—
1618	C₈	—	6	1	no	—
1619	C₈	—	6	1	no	—
1620	C₈	—	6	1	no	—
1621	C₈	—	6	1	no	—
1622	C₈	—	6	1	no	—
1623	C₈	—	6	1	no	—
1624	C₈	—	6	1	no	—
1625	C₂×C₃	—	4	1	no	—
1626	C₂×C₃	—	4	1	no	—
1627	C₂×C₃	—	4	1	no	—
1628	C₂×C₃	—	4	1	no	—
1629	C₂×C₃	—	4	1	no	—
1630	C₂×C₃	#3428	1	1	yes	characteristic
1631	C₂×C₃	C₂×#568	1	1	yes	characteristic
1632	C₂×C₃	#3573	1	1	yes	characteristic
1633	D₃	—	4	1	no	—
1634	D₃	—	4	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	6	1	no	—
1651	C₂²	—	6	1	no	—
1652	C₂²	—	6	1	no	—
1653	C₂²	—	6	1	no	—
1654	C₂²	—	6	1	no	—
1655	C₂²	—	6	1	no	—
1656	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1657	C₄	—	2	1	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	3	2	no	—
1667	C₄	—	6	1	no	—
1668	C₄	—	6	1	no	—
1669	C₄	—	6	1	no	—
1670	C₄	—	6	1	no	—
1671	C₄	—	6	1	no	—
1672	C₄	—	6	1	no	—
1673	C₄	—	6	1	no	—
1674	C₄	—	6	1	no	—
1675	C₄	—	6	1	no	—
1676	C₄	—	6	1	no	—
1677	C₄	—	6	1	no	—
1678	C₄	—	6	1	no	—
1679	C₄	—	6	1	no	—
1680	C₄	#5966	1	1	yes	characteristic
1681	C₄	#5966	1	1	yes	characteristic
1682	C₃	#60302	1	1	yes	characteristic, complemented, Sylow
1683	C₂	—	4	1	no	—
1684	C₂	—	4	1	no	—
1685	C₂	—	4	1	no	—
1686	C₂	—	4	1	no	—
1687	C₂	—	4	1	no	—
1688	C₂	—	12	1	no	—
1689	C₂	—	12	1	no	—
1690	C₂	#85856	1	1	yes	characteristic
1691	C₂	#87160	1	1	yes	characteristic
1692	C₂	D₃×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2981	C₂
prime radical	#86220	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2981	D₃
hypocenter	C₃	#60302
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2981

Complements

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

N	H ≅ G/N	type
2. C₃×#2981	C₂	semidirect
3. #83279	C₂	semidirect
4. #79528	C₂	semidirect
5. #79525	C₂	semidirect
6. #79520	C₂	semidirect
7. #79519	C₂	semidirect
8. #79468	C₂	semidirect
9. #79464	C₂	semidirect
10. #79462	C₂	semidirect
11. #79461	C₂	semidirect
12. #79460	C₂	semidirect
13. #79458	C₂	semidirect
14. #79456	C₂	semidirect
15. #79453	C₂	semidirect
16. #79409	C₂	semidirect
17. #79407	C₂	semidirect
18. #79402	C₂	semidirect
19. #79400	C₂	semidirect
20. #79332	C₂	semidirect
21. #79314	C₂	semidirect
22. #79285	C₂	semidirect
23. #79265	C₂	semidirect
24. #78669	C₂	semidirect
25. #78669	C₂	semidirect
26. #78668	C₂	semidirect
27. #78667	C₂	semidirect
28. #78650	C₂	semidirect
29. #78650	C₂	semidirect
30. #78649	C₂	semidirect
31. #78648	C₂	semidirect
217. #2981	D₃	semidirect
1682. C₃	#60302	semidirect

Maximal subgroups

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

subgroup	index
#86220	2
C₃×#2981	2
#83279	2
#79528	2
#79525	2
#79520	2
#79519	2
#79468	2
#79464	2
#79462	2
#79461	2
#79460	2
#79458	2
#79456	2
#79453	2
#79409	2
#79407	2
#79402	2
#79400	2
#79332	2
#79314	2
#79285	2
#79265	2
#78669	2
#78668	2
#78667	2
#78650	2
#78649	2
#78648	2
#60302	3