Subgroups — #11660474

Order 768.

1818 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86152	C₂	1	1	yes	maximal, characteristic
2	C₃×#2995	C₂	1	1	yes	maximal, characteristic, complemented
3	#83130	C₂	1	1	yes	maximal, characteristic, complemented
4	#79962	C₂	1	1	yes	maximal, characteristic, complemented
5	D₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
6	#79949	C₂	1	1	yes	maximal, characteristic, complemented
7	#79946	C₂	1	1	yes	maximal, characteristic, complemented
8	#79541	C₂	1	1	yes	maximal, characteristic, complemented
9	#79538	C₂	1	1	yes	maximal, characteristic, complemented
10	#79528	C₂	1	1	yes	maximal, characteristic, complemented
11	#79525	C₂	1	1	yes	maximal, characteristic, complemented
12	#79484	C₂	1	1	yes	maximal, characteristic, complemented
13	#79484	C₂	1	1	yes	maximal, characteristic, complemented
14	#79480	C₂	1	1	yes	maximal, characteristic, complemented
15	#79480	C₂	1	1	yes	maximal, characteristic, complemented
16	#79466	C₂	1	1	yes	maximal, characteristic, complemented
17	#79463	C₂	1	1	yes	maximal, characteristic, complemented
18	#79462	C₂	1	1	yes	maximal, characteristic, complemented
19	#79461	C₂	1	1	yes	maximal, characteristic, complemented
20	#79382	C₂	1	1	yes	maximal, characteristic, complemented
21	#79381	C₂	1	1	yes	maximal, characteristic, complemented
22	#79373	C₂	1	1	yes	maximal, characteristic, complemented
23	#79372	C₂	1	1	yes	maximal, characteristic, complemented
24	#79340	C₂	1	1	yes	maximal, characteristic, complemented
25	#79332	C₂	1	1	yes	maximal, characteristic, complemented
26	#79083	C₂	1	1	yes	maximal, characteristic, complemented
27	#79082	C₂	1	1	yes	maximal, characteristic, complemented
28	#79081	C₂	1	1	yes	maximal, characteristic, complemented
29	#79081	C₂	1	1	yes	maximal, characteristic, complemented
30	#79050	C₂	1	1	yes	maximal, characteristic, complemented
31	#79049	C₂	1	1	yes	maximal, characteristic, complemented
32	#60275	—	3	1	no	maximal, Sylow
33	C₃×#529	C₂²	1	1	yes	characteristic
34	C₂×#907	C₂²	1	1	yes	characteristic
35	C₂×#907	C₂²	1	1	yes	characteristic
36	C₂×#907	C₂²	1	1	yes	characteristic
37	C₂×#907	C₂²	1	1	yes	characteristic
38	C₂×#901	C₂²	1	1	yes	characteristic
39	C₂×#901	C₂²	1	1	yes	characteristic
40	#5709	C₄	1	1	yes	characteristic
41	#5709	C₄	1	1	yes	characteristic
42	#5702	C₄	1	1	yes	characteristic
43	#5702	C₄	1	1	yes	characteristic
44	#5695	C₄	1	1	yes	characteristic
45	#5685	C₄	1	1	yes	characteristic
46	#5681	C₄	1	1	yes	characteristic
47	#5677	C₄	1	1	yes	characteristic
48	#5664	C₄	1	1	yes	characteristic
49	#5664	C₄	1	1	yes	characteristic
50	#5661	C₄	1	1	yes	characteristic
51	#5661	C₄	1	1	yes	characteristic
52	#5641	C₄	1	1	yes	characteristic
53	#5633	C₄	1	1	yes	characteristic
54	#5614	C₄	1	1	yes	characteristic
55	#5599	C₄	1	1	yes	characteristic
56	#5580	C₂²	1	1	yes	characteristic
57	C₄×D₃×Q₈	C₂²	1	1	yes	characteristic
58	#5548	C₂²	1	1	yes	characteristic
59	#5548	C₂²	1	1	yes	characteristic
60	#5548	C₂²	1	1	yes	characteristic
61	#5538	C₂²	1	1	yes	characteristic
62	#5538	C₂²	1	1	yes	characteristic
63	C₄×#237	C₂²	1	1	yes	characteristic
64	#5528	C₂²	1	1	yes	characteristic
65	#5528	C₂²	1	1	yes	characteristic
66	#5522	C₂²	1	1	yes	characteristic
67	#5522	C₂²	1	1	yes	characteristic
68	C₄×#235	C₂²	1	1	yes	characteristic
69	C₄×#235	C₂²	1	1	yes	characteristic
70	C₃×#446	C₂²	1	1	yes	characteristic
71	C₃×#446	C₂²	1	1	yes	characteristic
72	C₃×#436	C₂²	1	1	yes	characteristic
73	C₃×#436	C₂²	1	1	yes	characteristic
74	C₃×#435	C₂²	1	1	yes	characteristic
75	C₃×#435	C₂²	1	1	yes	characteristic
76	C₃×#435	C₂²	1	1	yes	characteristic
77	C₃×#435	C₂²	1	1	yes	characteristic
78	C₃×#433	C₂²	1	1	yes	characteristic
79	C₃×#433	C₂²	1	1	yes	characteristic
80	C₃×#432	C₂²	1	1	yes	characteristic
81	C₃×#424	C₂²	1	1	yes	characteristic
82	C₃×#424	C₂²	1	1	yes	characteristic
83	C₃×#423	C₂²	1	1	yes	characteristic
84	#5128	C₂²	1	1	yes	characteristic
85	#5128	C₂²	1	1	yes	characteristic
86	#5128	C₂²	1	1	yes	characteristic
87	#5128	C₂²	1	1	yes	characteristic
88	#5127	C₂²	1	1	yes	characteristic
89	#5127	C₂²	1	1	yes	characteristic
90	#5127	C₂²	1	1	yes	characteristic
91	#5127	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	#5111	C₂²	1	1	yes	characteristic
97	#5111	C₂²	1	1	yes	characteristic
98	C₈×#67	C₂²	1	1	yes	characteristic
99	C₈×#67	C₂²	1	1	yes	characteristic
100	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
101	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
102	#5024	C₂²	1	1	yes	characteristic
103	#5024	C₂²	1	1	yes	characteristic
104	#5011	C₂²	1	1	yes	characteristic
105	#5011	C₂²	1	1	yes	characteristic
106	#5011	C₂²	1	1	yes	characteristic
107	#5011	C₂²	1	1	yes	characteristic
108	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic
109	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic
110	#5000	C₂²	1	1	yes	characteristic
111	#5000	C₂²	1	1	yes	characteristic
112	#4999	C₂²	1	1	yes	characteristic
113	#4999	C₂²	1	1	yes	characteristic
114	#4926	C₂²	1	1	yes	characteristic
115	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic
116	#4840	C₂²	1	1	yes	characteristic
117	#4840	C₂²	1	1	yes	characteristic
118	#4839	C₂²	1	1	yes	characteristic
119	#4839	C₂²	1	1	yes	characteristic
120	#4839	C₂²	1	1	yes	characteristic
121	#4839	C₂²	1	1	yes	characteristic
122	#4839	C₂²	1	1	yes	characteristic
123	#4839	C₂²	1	1	yes	characteristic
124	#4839	C₂²	1	1	yes	characteristic
125	#4839	C₂²	1	1	yes	characteristic
126	#4839	C₂²	1	1	yes	characteristic
127	#4839	C₂²	1	1	yes	characteristic
128	#4838	C₂²	1	1	yes	characteristic
129	#4837	C₂²	1	1	yes	characteristic
130	#4837	C₂²	1	1	yes	characteristic
131	#4837	C₂²	1	1	yes	characteristic
132	#4837	C₂²	1	1	yes	characteristic
133	#4837	C₂²	1	1	yes	characteristic
134	#4837	C₂²	1	1	yes	characteristic
135	#4836	C₂²	1	1	yes	characteristic
136	#4836	C₂²	1	1	yes	characteristic
137	#4836	C₂²	1	1	yes	characteristic
138	#4836	C₂²	1	1	yes	characteristic
139	#4835	C₂²	1	1	yes	characteristic
140	#4835	C₂²	1	1	yes	characteristic
141	#4834	C₂²	1	1	yes	characteristic
142	#4833	C₂²	1	1	yes	characteristic
143	#4833	C₂²	1	1	yes	characteristic
144	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
145	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
146	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
147	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
148	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
149	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
150	#4831	C₂²	1	1	yes	characteristic
151	#4830	C₂²	1	1	yes	characteristic
152	#4828	C₂²	1	1	yes	characteristic
153	#4828	C₂²	1	1	yes	characteristic
154	#4828	C₂²	1	1	yes	characteristic
155	#4828	C₂²	1	1	yes	characteristic
156	#4730	C₂²	1	1	yes	characteristic
157	#4730	C₂²	1	1	yes	characteristic
158	#4730	C₂²	1	1	yes	characteristic
159	#4730	C₂²	1	1	yes	characteristic
160	#4729	C₂²	1	1	yes	characteristic
161	#4729	C₂²	1	1	yes	characteristic
162	#4728	C₂²	1	1	yes	characteristic
163	#4728	C₂²	1	1	yes	characteristic
164	#4727	C₂²	1	1	yes	characteristic
165	#4727	C₂²	1	1	yes	characteristic
166	#4727	C₂²	1	1	yes	characteristic
167	#4727	C₂²	1	1	yes	characteristic
168	#4727	C₂²	1	1	yes	characteristic
169	#4727	C₂²	1	1	yes	characteristic
170	#67⋊C₈	C₂²	1	1	yes	characteristic
171	#67⋊C₈	C₂²	1	1	yes	characteristic
172	#67⋊C₈	C₂²	1	1	yes	characteristic
173	#67⋊C₈	C₂²	1	1	yes	characteristic
174	#4720	C₂²	1	1	yes	characteristic
175	#4720	C₂²	1	1	yes	characteristic
176	#4719	C₂²	1	1	yes	characteristic
177	#4719	C₂²	1	1	yes	characteristic
178	#4718	C₂²	1	1	yes	characteristic
179	#4718	C₂²	1	1	yes	characteristic
180	#4709	C₂²	1	1	yes	characteristic
181	#4709	C₂²	1	1	yes	characteristic
182	#4707	C₂²	1	1	yes	characteristic
183	#4707	C₂²	1	1	yes	characteristic
184	#4706	C₂²	1	1	yes	characteristic
185	#4706	C₂²	1	1	yes	characteristic
186	#4706	C₂²	1	1	yes	characteristic
187	#4706	C₂²	1	1	yes	characteristic
188	#4705	C₂²	1	1	yes	characteristic
189	#4705	C₂²	1	1	yes	characteristic
190	D₃×#97	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	#4688	C₂²	1	1	yes	characteristic
199	C₄×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic
200	C₈×D₁₂	C₂²	1	1	yes	characteristic
201	C₄×D₃×C₈	C₂²	1	1	yes	characteristic
202	#4679	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	#2995	—	3	1	no	—
208	#2995	D₃	1	1	yes	characteristic, complemented
209	#2994	—	3	1	no	—
210	#2994	—	3	1	no	—
211	#2993	—	3	1	no	—
212	#2993	—	3	1	no	—
213	#2992	—	3	1	no	—
214	#2992	—	3	1	no	—
215	#2992	—	3	1	no	—
216	#2992	—	3	1	no	—
217	#2990	—	3	1	no	—
218	#2990	—	3	1	no	—
219	#2989	—	3	1	no	—
220	#2989	—	3	1	no	—
221	Q₈×M₁₆	—	3	1	no	—
222	C₂×#446	—	3	1	no	—
223	#2935	—	3	1	no	—
224	#2935	—	3	1	no	—
225	#2935	—	3	1	no	—
226	#2932	—	3	1	no	—
227	#2932	—	3	1	no	—
228	#2931	—	3	1	no	—
229	#2923	—	3	1	no	—
230	#2923	—	3	1	no	—
231	#2922	—	3	1	no	—
232	#2906	—	3	1	no	—
233	#2906	—	3	1	no	—
234	#2906	—	3	1	no	—
235	C₂×D₃×Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×#237	C₂×C₄	1	1	yes	characteristic
237	C₂×#235	C₂×C₄	1	1	yes	characteristic
238	C₂×#235	C₂³	1	1	yes	characteristic
239	C₂×#235	C₂³	1	1	yes	characteristic
240	C₂×#235	C₂³	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	C₃×#126	C₂×C₄	1	1	yes	characteristic
248	C₃×#126	C₂×C₄	1	1	yes	characteristic
249	C₃×#125	C₂×C₄	1	1	yes	characteristic
250	C₃×#124	C₂×C₄	1	1	yes	characteristic
251	C₃×#123	C₂×C₄	1	1	yes	characteristic
252	C₃×#123	C₂×C₄	1	1	yes	characteristic
253	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
254	C₃×#121	C₂×C₄	1	1	yes	characteristic
255	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
256	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
257	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
258	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
259	C₃×#117	C₂³	1	1	yes	characteristic
260	C₃×#117	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
262	#947	C₂×C₄	1	1	yes	characteristic
263	#946	C₂×C₄	1	1	yes	characteristic
264	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
265	#940	C₂×C₄	1	1	yes	characteristic
266	#940	C₂×C₄	1	1	yes	characteristic
267	#940	C₂×C₄	1	1	yes	characteristic
268	#939	C₂×C₄	1	1	yes	characteristic
269	#939	C₂×C₄	1	1	yes	characteristic
270	#938	C₂×C₄	1	1	yes	characteristic
271	#938	C₂×C₄	1	1	yes	characteristic
272	#938	C₂×C₄	1	1	yes	characteristic
273	#935	C₂×C₄	1	1	yes	characteristic
274	#935	C₂×C₄	1	1	yes	characteristic
275	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
276	C₄×#67	C₂×C₄	1	1	yes	characteristic
277	C₄×#67	C₂×C₄	1	1	yes	characteristic
278	C₄×#67	C₂×C₄	1	1	yes	characteristic
279	C₄×#67	C₂×C₄	1	1	yes	characteristic
280	C₄×#67	C₂×C₄	1	1	yes	characteristic
281	C₄×#67	C₂×C₄	1	1	yes	characteristic
282	C₄×#67	C₂³	1	1	yes	characteristic
283	C₄×#67	C₂³	1	1	yes	characteristic
284	C₄×#67	C₂³	1	1	yes	characteristic
285	C₄×#67	C₂³	1	1	yes	characteristic
286	C₄×#67	C₂³	1	1	yes	characteristic
287	C₄×#67	C₂³	1	1	yes	characteristic
288	#926	C₂×C₄	1	1	yes	characteristic
289	#926	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
292	C₂×#208	C₂³	1	1	yes	characteristic
293	C₂×#208	C₂³	1	1	yes	characteristic
294	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
295	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
296	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
297	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
298	#907	—	4	2	no	—
299	#907	—	4	2	no	—
300	#907	—	4	2	no	—
301	#907	—	4	2	no	—
302	#901	—	4	2	no	—
303	#901	—	4	2	no	—
304	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
305	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
306	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
307	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
308	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
309	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
310	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
311	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
312	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
313	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
314	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
315	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
316	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
317	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
318	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
319	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
320	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
321	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
322	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
323	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
324	#898	C₂×C₄	1	1	yes	characteristic
325	#898	C₂×C₄	1	1	yes	characteristic
326	#898	C₂×C₄	1	1	yes	characteristic
327	#898	C₂×C₄	1	1	yes	characteristic
328	#898	C₂×C₄	1	1	yes	characteristic
329	#898	C₂×C₄	1	1	yes	characteristic
330	#896	C₂×C₄	1	1	yes	characteristic
331	#896	C₂×C₄	1	1	yes	characteristic
332	#895	C₂×C₄	1	1	yes	characteristic
333	#895	C₂×C₄	1	1	yes	characteristic
334	#895	C₂×C₄	1	1	yes	characteristic
335	#895	C₂×C₄	1	1	yes	characteristic
336	#894	C₂×C₄	1	1	yes	characteristic
337	#894	C₂×C₄	1	1	yes	characteristic
338	#894	C₂×C₄	1	1	yes	characteristic
339	#894	C₂×C₄	1	1	yes	characteristic
340	#893	C₂×C₄	1	1	yes	characteristic
341	#893	C₂×C₄	1	1	yes	characteristic
342	#893	C₂×C₄	1	1	yes	characteristic
343	#893	C₂×C₄	1	1	yes	characteristic
344	#892	C₂×C₄	1	1	yes	characteristic
345	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
346	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
347	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
348	#890	C₂×C₄	1	1	yes	characteristic
349	#889	C₂×C₄	1	1	yes	characteristic
350	#889	C₂×C₄	1	1	yes	characteristic
351	#889	C₂×C₄	1	1	yes	characteristic
352	#889	C₂×C₄	1	1	yes	characteristic
353	#888	C₂×C₄	1	1	yes	characteristic
354	#888	C₂×C₄	1	1	yes	characteristic
355	#888	C₂×C₄	1	1	yes	characteristic
356	#887	C₂×C₄	1	1	yes	characteristic
357	#887	C₂×C₄	1	1	yes	characteristic
358	#887	C₂×C₄	1	1	yes	characteristic
359	#887	C₂×C₄	1	1	yes	characteristic
360	#887	C₂×C₄	1	1	yes	characteristic
361	#887	C₂×C₄	1	1	yes	characteristic
362	#887	C₂×C₄	1	1	yes	characteristic
363	#887	C₂×C₄	1	1	yes	characteristic
364	#886	C₂×C₄	1	1	yes	characteristic
365	#886	C₂×C₄	1	1	yes	characteristic
366	#885	C₂×C₄	1	1	yes	characteristic
367	#885	C₂×C₄	1	1	yes	characteristic
368	#885	C₂×C₄	1	1	yes	characteristic
369	#885	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	#885	C₂×C₄	1	1	yes	characteristic
375	#885	C₂×C₄	1	1	yes	characteristic
376	#884	C₂×C₄	1	1	yes	characteristic
377	#884	C₂×C₄	1	1	yes	characteristic
378	#884	C₂×C₄	1	1	yes	characteristic
379	#884	C₂×C₄	1	1	yes	characteristic
380	#884	C₂×C₄	1	1	yes	characteristic
381	#884	C₂×C₄	1	1	yes	characteristic
382	#884	C₂×C₄	1	1	yes	characteristic
383	#884	C₂×C₄	1	1	yes	characteristic
384	#883	C₂×C₄	1	1	yes	characteristic
385	#883	C₂×C₄	1	1	yes	characteristic
386	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
387	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
388	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
389	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
390	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
391	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
392	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
393	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
394	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
395	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
396	#879	C₂×C₄	1	1	yes	characteristic
397	#879	C₂×C₄	1	1	yes	characteristic
398	#879	C₂×C₄	1	1	yes	characteristic
399	#879	C₂×C₄	1	1	yes	characteristic
400	#878	C₂×C₄	1	1	yes	characteristic
401	#878	C₂×C₄	1	1	yes	characteristic
402	#877	C₂×C₄	1	1	yes	characteristic
403	#877	C₂×C₄	1	1	yes	characteristic
404	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
405	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
406	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
407	C₄×D₁₂	C₂³	1	1	yes	characteristic
408	C₄×D₁₂	C₂³	1	1	yes	characteristic
409	C₄×D₁₂	C₂³	1	1	yes	characteristic
410	#872	C₂×C₄	1	1	yes	characteristic
411	#872	C₂×C₄	1	1	yes	characteristic
412	#872	C₂³	1	1	yes	characteristic
413	#872	C₂³	1	1	yes	characteristic
414	#872	C₂³	1	1	yes	characteristic
415	#872	C₂³	1	1	yes	characteristic
416	C₄²×D₃	C₂³	1	1	yes	characteristic
417	C₄²×D₃	C₂³	1	1	yes	characteristic
418	C₄²×D₃	C₂³	1	1	yes	characteristic
419	C₄²×D₃	C₂³	1	1	yes	characteristic
420	C₄²×D₃	C₂³	1	1	yes	characteristic
421	C₄²×D₃	C₂³	1	1	yes	characteristic
422	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
423	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
424	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
425	C₄×Dic₆	C₂³	1	1	yes	characteristic
426	C₄×Dic₆	C₂³	1	1	yes	characteristic
427	C₄×Dic₆	C₂³	1	1	yes	characteristic
428	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₃×#97	C₂³	1	1	yes	characteristic
445	C₃×#97	C₂³	1	1	yes	characteristic
446	C₃×#97	C₂³	1	1	yes	characteristic
447	C₃×#97	C₂³	1	1	yes	characteristic
448	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
449	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
450	#830	C₂³	1	1	yes	characteristic
451	#830	C₂³	1	1	yes	characteristic
452	#830	C₂³	1	1	yes	characteristic
453	#830	C₂³	1	1	yes	characteristic
454	#830	C₂³	1	1	yes	characteristic
455	#830	C₂³	1	1	yes	characteristic
456	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
457	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
458	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
459	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
460	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
461	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
462	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
463	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
464	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
465	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
466	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
467	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
468	#815	C₂³	1	1	yes	characteristic
469	#815	C₂³	1	1	yes	characteristic
470	#815	C₂³	1	1	yes	characteristic
471	#815	C₂³	1	1	yes	characteristic
472	#815	C₂³	1	1	yes	characteristic
473	#815	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	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	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	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
501	C₄⋊(C₃⋊C₈)	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	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
507	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
508	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
509	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
510	#803	C₂³	1	1	yes	characteristic
511	#803	C₂³	1	1	yes	characteristic
512	#803	C₂³	1	1	yes	characteristic
513	#803	C₂³	1	1	yes	characteristic
514	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
515	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
516	C₂×#131	—	3	1	no	—
517	C₂×#131	—	3	1	no	—
518	C₂×#131	—	3	1	no	—
519	C₂×#131	—	3	1	no	—
520	C₂×#131	—	3	1	no	—
521	C₂×#131	—	3	1	no	—
522	#559	—	3	1	no	—
523	#559	—	3	1	no	—
524	#559	—	3	1	no	—
525	#557	—	3	1	no	—
526	#556	—	3	1	no	—
527	#556	—	3	1	no	—
528	#556	—	3	1	no	—
529	#553	—	3	1	no	—
530	#553	—	3	1	no	—
531	#553	—	3	1	no	—
532	#553	—	3	1	no	—
533	#553	—	3	1	no	—
534	#553	—	3	1	no	—
535	#550	—	3	1	no	—
536	#548	—	3	1	no	—
537	#548	—	3	1	no	—
538	#532	—	3	1	no	—
539	#532	—	3	1	no	—
540	#532	—	3	1	no	—
541	#529	—	3	1	no	—
542	#529	—	3	1	no	—
543	#529	—	3	1	no	—
544	#529	—	3	1	no	—
545	#529	—	3	1	no	—
546	#529	C₂×D₃	1	1	yes	characteristic
547	C₄×#41	—	3	1	no	—
548	C₄×#41	—	3	1	no	—
549	C₄×#41	—	3	1	no	—
550	C₄×#41	—	3	1	no	—
551	C₄×#41	—	3	1	no	—
552	C₂×C₄×Q₈	—	3	1	no	—
553	#446	—	3	1	no	—
554	#446	—	3	1	no	—
555	#446	—	3	1	no	—
556	#446	—	3	1	no	—
557	#446	—	3	1	no	—
558	#446	—	3	1	no	—
559	#446	—	3	1	no	—
560	#446	—	3	1	no	—
561	#446	—	3	1	no	—
562	#446	—	3	1	no	—
563	#446	—	3	1	no	—
564	#446	—	3	1	no	—
565	#446	C₂×D₃	1	1	yes	characteristic
566	#446	C₂×D₃	1	1	yes	characteristic
567	C₈×Q₈	—	3	1	no	—
568	C₈×Q₈	—	3	1	no	—
569	#436	—	3	1	no	—
570	#436	—	3	1	no	—
571	#436	—	3	1	no	—
572	#436	—	3	1	no	—
573	#436	—	3	1	no	—
574	#436	—	3	1	no	—
575	#436	—	3	1	no	—
576	#436	—	3	1	no	—
577	#436	C₂×D₃	1	1	yes	characteristic
578	#436	C₂×D₃	1	1	yes	characteristic
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	—	3	1	no	—
592	#435	—	3	1	no	—
593	#435	—	3	1	no	—
594	#435	—	3	1	no	—
595	#435	—	3	1	no	—
596	#435	—	3	1	no	—
597	#435	—	3	1	no	—
598	#435	—	3	1	no	—
599	#435	—	3	1	no	—
600	#435	—	3	1	no	—
601	#435	—	3	1	no	—
602	#435	—	3	1	no	—
603	#435	C₂×D₃	1	1	yes	characteristic
604	#435	C₂×D₃	1	1	yes	characteristic
605	#435	C₂×D₃	1	1	yes	characteristic
606	#435	C₂×D₃	1	1	yes	characteristic
607	C₈×D₄	—	3	1	no	—
608	C₈×D₄	—	3	1	no	—
609	C₈×D₄	—	3	1	no	—
610	C₈×D₄	—	3	1	no	—
611	C₈×D₄	—	3	1	no	—
612	C₈×D₄	—	3	1	no	—
613	C₈×D₄	—	3	1	no	—
614	C₈×D₄	—	3	1	no	—
615	C₈×D₄	—	3	1	no	—
616	C₈×D₄	—	3	1	no	—
617	#433	—	3	1	no	—
618	#433	—	3	1	no	—
619	#433	—	3	1	no	—
620	#433	—	3	1	no	—
621	#433	—	3	1	no	—
622	#433	—	3	1	no	—
623	#433	—	3	1	no	—
624	#433	—	3	1	no	—
625	#433	—	3	1	no	—
626	#433	—	3	1	no	—
627	#433	C₂×D₃	1	1	yes	characteristic
628	#433	C₂×D₃	1	1	yes	characteristic
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	—	3	1	no	—
635	#432	—	3	1	no	—
636	#432	C₂×D₃	1	1	yes	characteristic
637	#431	—	3	1	no	—
638	#431	—	3	1	no	—
639	#431	—	3	1	no	—
640	#431	—	3	1	no	—
641	#424	—	3	1	no	—
642	#424	—	3	1	no	—
643	#424	—	3	1	no	—
644	#424	—	3	1	no	—
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	#424	—	3	1	no	—
652	#424	—	3	1	no	—
653	#424	—	3	1	no	—
654	#424	—	3	1	no	—
655	#424	C₂×D₃	1	1	yes	characteristic
656	#424	C₂×D₃	1	1	yes	characteristic
657	#423	—	3	1	no	—
658	#423	—	3	1	no	—
659	#423	—	3	1	no	—
660	#423	—	3	1	no	—
661	#423	—	3	1	no	—
662	#423	—	3	1	no	—
663	#423	—	3	1	no	—
664	#423	—	3	1	no	—
665	#423	C₂×D₃	1	1	yes	characteristic
666	C₂×C₄⋊C₈	—	3	1	no	—
667	C₂×C₄⋊C₈	—	3	1	no	—
668	C₂×C₄⋊C₈	—	3	1	no	—
669	C₂×C₄⋊C₈	—	3	1	no	—
670	C₂×C₄⋊C₈	—	3	1	no	—
671	C₂×C₄⋊C₈	—	3	1	no	—
672	C₂×C₄⋊C₈	—	3	1	no	—
673	C₂×C₄⋊C₈	—	3	1	no	—
674	C₂×C₄⋊C₈	—	3	1	no	—
675	#408	—	3	1	no	—
676	#408	—	3	1	no	—
677	#408	—	3	1	no	—
678	#408	—	3	1	no	—
679	#408	—	3	1	no	—
680	#408	—	3	1	no	—
681	C₄×M₁₆	—	3	1	no	—
682	C₄×M₁₆	—	3	1	no	—
683	C₄×M₁₆	—	3	1	no	—
684	C₂×#97	—	3	1	no	—
685	C₂×#97	—	3	1	no	—
686	C₂×C₄×C₈	—	3	1	no	—
687	C₂×C₃×Q₈	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	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
694	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
695	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
696	C₂×#67	C₂²×C₄	1	1	yes	characteristic
697	C₂×#67	C₂²×C₄	1	1	yes	characteristic
698	C₂×#67	C₂²×C₄	1	1	yes	characteristic
699	C₂×#67	C₂²×C₄	1	1	yes	characteristic
700	C₂×#67	C₂²×C₄	1	1	yes	characteristic
701	C₂×#67	C₂²×C₄	1	1	yes	characteristic
702	C₂×#67	C₂²×C₄	1	1	yes	characteristic
703	C₂×#67	C₂²×C₄	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	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
709	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
710	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
711	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
712	D₃×Q₈	—	4	2	no	—
713	#237	—	4	2	no	—
714	#235	—	2	2	no	—
715	#235	—	2	2	no	—
716	#235	—	2	2	no	—
717	#235	—	2	2	no	—
718	#235	—	2	2	no	—
719	#235	—	2	2	no	—
720	#235	—	4	2	no	—
721	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
722	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
723	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
724	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
725	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
726	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
727	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
728	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
729	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
730	C₂×C₄×D₃	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	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
737	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
740	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
741	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
742	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
743	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
744	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
745	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
746	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
747	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
748	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
749	C₃×M₁₆	—	4	1	no	—
750	C₃×M₁₆	—	4	1	no	—
751	C₃×M₁₆	—	4	1	no	—
752	C₃×M₁₆	—	4	1	no	—
753	C₂×C₃×C₈	—	4	1	no	—
754	C₂×C₃×C₈	—	4	1	no	—
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	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
760	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
761	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
762	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
763	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
765	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
769	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
770	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
771	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
772	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
773	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
774	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
775	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
776	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
777	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
778	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
779	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
780	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
781	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
782	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
783	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
784	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
785	C₃×C₄²	C₂⁴	1	1	yes	characteristic
786	C₃×C₄²	C₂⁴	1	1	yes	characteristic
787	C₃×C₄²	C₂⁴	1	1	yes	characteristic
788	C₃×C₄²	C₂⁴	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	#217	C₂²×C₄	1	1	yes	characteristic
794	#217	C₂²×C₄	1	1	yes	characteristic
795	#217	C₂²×C₄	1	1	yes	characteristic
796	#217	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	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
806	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
807	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
808	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
809	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
810	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
811	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
812	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
813	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
814	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
815	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
816	(C₂×D₃)⋊C₄	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	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
820	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
821	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
822	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
823	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
824	C₄⋊Dic₃	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	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
840	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
841	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
842	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
843	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
844	Dic₃⋊C₄	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	C₂²×C₄	1	1	yes	characteristic
856	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
857	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
858	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
859	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
860	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
861	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
862	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
863	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
864	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
865	#208	—	4	1	no	—
866	#208	—	4	1	no	—
867	C₂×C₃⋊C₈	—	4	1	no	—
868	C₂×C₃⋊C₈	—	4	1	no	—
869	C₂×C₃⋊C₈	—	4	1	no	—
870	C₂×C₃⋊C₈	—	4	1	no	—
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	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
878	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
879	ΓL(1,𝔽₂₅)	—	2	2	no	—
880	ΓL(1,𝔽₂₅)	—	2	2	no	—
881	ΓL(1,𝔽₂₅)	—	2	2	no	—
882	ΓL(1,𝔽₂₅)	—	2	2	no	—
883	ΓL(1,𝔽₂₅)	—	4	1	no	—
884	ΓL(1,𝔽₂₅)	—	4	1	no	—
885	ΓL(1,𝔽₂₅)	—	4	1	no	—
886	ΓL(1,𝔽₂₅)	—	4	1	no	—
887	ΓL(1,𝔽₂₅)	—	4	1	no	—
888	ΓL(1,𝔽₂₅)	—	4	1	no	—
889	D₃×C₈	—	2	2	no	—
890	D₃×C₈	—	2	2	no	—
891	D₃×C₈	—	2	2	no	—
892	D₃×C₈	—	2	2	no	—
893	D₃×C₈	—	4	1	no	—
894	D₃×C₈	—	4	1	no	—
895	D₃×C₈	—	4	1	no	—
896	D₃×C₈	—	4	1	no	—
897	D₃×C₈	—	4	1	no	—
898	D₃×C₈	—	4	1	no	—
899	C₂×#41	—	3	1	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	C₂²×Q₈	—	3	1	no	—
905	#131	—	12	2	no	—
906	#131	—	12	2	no	—
907	#131	—	12	2	no	—
908	#131	—	12	2	no	—
909	#131	—	12	2	no	—
910	#131	—	12	2	no	—
911	C₂×M₁₆	—	3	1	no	—
912	C₂×M₁₆	—	3	1	no	—
913	C₂×M₁₆	—	3	1	no	—
914	C₂×M₁₆	—	3	1	no	—
915	C₂×M₁₆	—	3	1	no	—
916	C₂×M₁₆	—	3	1	no	—
917	C₂×M₁₆	—	3	1	no	—
918	C₂×M₁₆	—	3	1	no	—
919	C₂×M₁₆	—	3	1	no	—
920	C₂×M₁₆	—	3	1	no	—
921	C₂×M₁₆	—	3	1	no	—
922	C₂×M₁₆	—	3	1	no	—
923	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
924	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
925	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
926	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
927	C₂²×C₈	—	3	1	no	—
928	C₂²×C₈	—	3	1	no	—
929	C₂²×C₈	—	3	1	no	—
930	C₂²×C₈	—	3	1	no	—
931	C₂²×C₈	—	3	1	no	—
932	C₂²×C₈	—	3	1	no	—
933	C₂²×C₈	—	3	1	no	—
934	C₂²×C₈	—	3	1	no	—
935	C₂²×C₈	—	3	1	no	—
936	C₂²×C₈	—	3	1	no	—
937	C₂²×C₈	—	3	1	no	—
938	C₂²×C₈	—	3	1	no	—
939	C₂²×C₈	—	3	1	no	—
940	C₂²×C₈	—	3	1	no	—
941	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
942	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
943	C₄⋊Q₈	—	3	1	no	—
944	C₄⋊Q₈	—	3	1	no	—
945	C₄⋊Q₈	—	3	1	no	—
946	#127	—	3	1	no	—
947	#127	—	3	1	no	—
948	#127	—	3	1	no	—
949	#126	—	3	1	no	—
950	#126	—	3	1	no	—
951	#126	—	3	1	no	—
952	#126	—	3	1	no	—
953	#126	—	3	1	no	—
954	#126	—	3	1	no	—
955	#126	—	3	1	no	—
956	#126	—	3	1	no	—
957	#126	—	3	1	no	—
958	#126	—	3	1	no	—
959	#126	C₄×D₃	1	1	yes	characteristic
960	#126	C₄×D₃	1	1	yes	characteristic
961	#125	—	3	1	no	—
962	#125	—	3	1	no	—
963	#125	—	3	1	no	—
964	#125	—	3	1	no	—
965	#125	—	3	1	no	—
966	#125	C₄×D₃	1	1	yes	characteristic
967	#124	—	3	1	no	—
968	#124	—	3	1	no	—
969	#124	—	3	1	no	—
970	#124	—	3	1	no	—
971	#124	—	3	1	no	—
972	#124	—	3	1	no	—
973	#124	—	3	1	no	—
974	#124	—	3	1	no	—
975	#124	—	3	1	no	—
976	#124	—	3	1	no	—
977	#124	—	3	1	no	—
978	#124	C₄×D₃	1	1	yes	characteristic
979	#123	—	3	1	no	—
980	#123	—	3	1	no	—
981	#123	—	3	1	no	—
982	#123	—	3	1	no	—
983	#123	—	3	1	no	—
984	#123	—	3	1	no	—
985	#123	—	3	1	no	—
986	#123	—	3	1	no	—
987	#123	—	3	1	no	—
988	#123	—	3	1	no	—
989	#123	C₄×D₃	1	1	yes	characteristic
990	#123	C₄×D₃	1	1	yes	characteristic
991	C₂²⋊Q₈	—	3	1	no	—
992	C₂²⋊Q₈	—	3	1	no	—
993	C₂²⋊Q₈	—	3	1	no	—
994	C₂²⋊Q₈	—	3	1	no	—
995	C₂²⋊Q₈	—	3	1	no	—
996	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
997	#121	—	3	1	no	—
998	#121	—	3	1	no	—
999	#121	—	3	1	no	—
1000	#121	—	3	1	no	—
1001	#121	—	3	1	no	—
1002	#121	—	3	1	no	—
1003	#121	—	3	1	no	—
1004	#121	—	3	1	no	—
1005	#121	—	3	1	no	—
1006	#121	—	3	1	no	—
1007	#121	—	3	1	no	—
1008	#121	—	3	1	no	—
1009	#121	—	3	1	no	—
1010	#121	—	3	1	no	—
1011	#121	—	3	1	no	—
1012	#121	—	3	1	no	—
1013	#121	—	3	1	no	—
1014	#121	C₄×D₃	1	1	yes	characteristic
1015	C₄×Q₈	—	3	1	no	—
1016	C₄×Q₈	—	3	1	no	—
1017	C₄×Q₈	—	3	1	no	—
1018	C₄×Q₈	—	3	1	no	—
1019	C₄×Q₈	—	3	1	no	—
1020	C₄×Q₈	—	3	1	no	—
1021	C₄×Q₈	—	3	1	no	—
1022	C₄×Q₈	—	3	1	no	—
1023	C₄×Q₈	—	3	1	no	—
1024	C₄×Q₈	—	3	1	no	—
1025	C₄×Q₈	—	3	1	no	—
1026	C₄×Q₈	—	3	1	no	—
1027	C₄×Q₈	—	3	1	no	—
1028	C₄×Q₈	—	3	1	no	—
1029	C₄×Q₈	—	3	1	no	—
1030	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1031	C₄×D₄	—	3	1	no	—
1032	C₄×D₄	—	3	1	no	—
1033	C₄×D₄	—	3	1	no	—
1034	C₄×D₄	—	3	1	no	—
1035	C₄×D₄	—	3	1	no	—
1036	C₄×D₄	—	3	1	no	—
1037	C₄×D₄	—	3	1	no	—
1038	C₄×D₄	—	3	1	no	—
1039	C₄×D₄	—	3	1	no	—
1040	C₄×D₄	—	3	1	no	—
1041	C₄×D₄	—	3	1	no	—
1042	C₄×D₄	—	3	1	no	—
1043	C₄×D₄	—	3	1	no	—
1044	C₄×D₄	—	3	1	no	—
1045	C₄×D₄	—	3	1	no	—
1046	C₄×D₄	—	3	1	no	—
1047	C₄×D₄	—	3	1	no	—
1048	C₄×D₄	—	3	1	no	—
1049	C₄×D₄	—	3	1	no	—
1050	C₄×D₄	—	3	1	no	—
1051	C₄×D₄	—	3	1	no	—
1052	C₄×D₄	—	3	1	no	—
1053	C₄×D₄	—	3	1	no	—
1054	C₄×D₄	—	3	1	no	—
1055	C₄×D₄	—	3	1	no	—
1056	C₄×D₄	—	3	1	no	—
1057	C₄×D₄	—	3	1	no	—
1058	C₄×D₄	—	3	1	no	—
1059	C₄×D₄	—	3	1	no	—
1060	C₄×D₄	—	3	1	no	—
1061	C₄×D₄	—	3	1	no	—
1062	C₄×D₄	—	3	1	no	—
1063	C₄×D₄	—	3	1	no	—
1064	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1065	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1066	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1067	#117	—	3	1	no	—
1068	#117	—	3	1	no	—
1069	#117	—	3	1	no	—
1070	#117	—	3	1	no	—
1071	#117	—	3	1	no	—
1072	#117	—	3	1	no	—
1073	#117	—	3	1	no	—
1074	#117	—	3	1	no	—
1075	#117	—	3	1	no	—
1076	#117	—	3	1	no	—
1077	#117	—	3	1	no	—
1078	#117	C₂²×D₃	1	1	yes	characteristic
1079	#117	C₂²×D₃	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	—	3	1	no	—
1081	C₂×C₄⋊C₄	—	3	1	no	—
1082	C₂×C₄⋊C₄	—	3	1	no	—
1083	C₂×C₄²	—	3	1	no	—
1084	C₂×C₄²	—	3	1	no	—
1085	C₂×C₄²	—	3	1	no	—
1086	C₂×C₄²	—	3	1	no	—
1087	C₂×C₄²	—	3	1	no	—
1088	C₂×C₄²	—	3	1	no	—
1089	C₂×C₄²	—	3	1	no	—
1090	C₂×C₄²	—	3	1	no	—
1091	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1092	C₄⋊C₈	—	3	1	no	—
1093	C₄⋊C₈	—	3	1	no	—
1094	C₄⋊C₈	—	3	1	no	—
1095	C₄⋊C₈	—	3	1	no	—
1096	C₄⋊C₈	—	3	1	no	—
1097	C₄⋊C₈	—	3	1	no	—
1098	C₄⋊C₈	—	3	1	no	—
1099	C₄⋊C₈	—	3	1	no	—
1100	C₄⋊C₈	—	3	1	no	—
1101	C₄⋊C₈	—	3	1	no	—
1102	C₄⋊C₈	—	3	1	no	—
1103	C₄⋊C₈	—	3	1	no	—
1104	C₄⋊C₈	—	3	1	no	—
1105	C₄⋊C₈	—	3	1	no	—
1106	C₄⋊C₈	—	3	1	no	—
1107	C₄⋊C₈	—	3	1	no	—
1108	C₄⋊C₈	—	3	1	no	—
1109	C₄⋊C₈	—	3	1	no	—
1110	C₄⋊C₈	—	3	1	no	—
1111	C₄⋊C₈	—	3	1	no	—
1112	C₄⋊C₈	—	3	1	no	—
1113	C₄⋊C₈	—	3	1	no	—
1114	C₄⋊C₈	—	3	1	no	—
1115	C₄⋊C₈	—	3	1	no	—
1116	C₄⋊C₈	—	3	1	no	—
1117	C₄⋊C₈	—	3	1	no	—
1118	C₄⋊C₈	—	3	1	no	—
1119	C₄⋊C₈	—	3	1	no	—
1120	C₄⋊C₈	—	3	1	no	—
1121	C₄⋊C₈	—	3	1	no	—
1122	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1123	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1124	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1125	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1126	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1127	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1128	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1129	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1130	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1131	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1132	C₂²⋊C₈	—	3	1	no	—
1133	C₂²⋊C₈	—	3	1	no	—
1134	C₂²⋊C₈	—	3	1	no	—
1135	C₂²⋊C₈	—	3	1	no	—
1136	C₂²⋊C₈	—	3	1	no	—
1137	C₂²⋊C₈	—	3	1	no	—
1138	C₂²⋊C₈	—	3	1	no	—
1139	C₂²⋊C₈	—	3	1	no	—
1140	C₂²⋊C₈	—	3	1	no	—
1141	C₂²⋊C₈	—	3	1	no	—
1142	C₂²⋊C₈	—	3	1	no	—
1143	C₂²⋊C₈	—	3	1	no	—
1144	C₂²⋊C₈	—	3	1	no	—
1145	C₂²⋊C₈	—	3	1	no	—
1146	C₂²⋊C₈	—	3	1	no	—
1147	C₂²⋊C₈	—	3	1	no	—
1148	C₂²⋊C₈	—	3	1	no	—
1149	C₂²⋊C₈	—	3	1	no	—
1150	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1151	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1152	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1153	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1154	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1155	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1156	#97	—	3	1	no	—
1157	#97	—	3	1	no	—
1158	#97	—	3	1	no	—
1159	#97	—	3	1	no	—
1160	#97	—	3	1	no	—
1161	#97	—	3	1	no	—
1162	#97	—	3	1	no	—
1163	#97	—	3	1	no	—
1164	#97	—	3	1	no	—
1165	#97	—	3	1	no	—
1166	#97	C₂²×D₃	1	1	yes	characteristic
1167	#97	C₂²×D₃	1	1	yes	characteristic
1168	#97	C₂²×D₃	1	1	yes	characteristic
1169	#97	C₂²×D₃	1	1	yes	characteristic
1170	C₄×C₈	—	3	1	no	—
1171	C₄×C₈	—	3	1	no	—
1172	C₄×C₈	—	3	1	no	—
1173	C₄×C₈	—	3	1	no	—
1174	C₄×C₈	—	3	1	no	—
1175	C₄×C₈	—	3	1	no	—
1176	C₄×C₈	—	3	1	no	—
1177	C₄×C₈	—	3	1	no	—
1178	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1179	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1180	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1181	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1182	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1183	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1184	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1185	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1186	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1187	C₃×Q₈	—	4	1	no	—
1188	C₃×D₄	—	4	1	no	—
1189	C₃×D₄	—	4	1	no	—
1190	C₃×D₄	—	4	1	no	—
1191	C₂×C₃×C₄	—	2	1	no	—
1192	C₂×C₃×C₄	—	2	1	no	—
1193	C₂×C₃×C₄	—	2	1	no	—
1194	C₂×C₃×C₄	—	2	1	no	—
1195	C₂×C₃×C₄	—	2	1	no	—
1196	C₂×C₃×C₄	—	2	1	no	—
1197	C₂×C₃×C₄	—	4	1	no	—
1198	C₂×C₃×C₄	—	4	1	no	—
1199	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1200	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1201	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1202	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1203	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1204	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1205	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1206	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1207	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1208	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1209	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1210	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1211	#67	—	2	2	no	—
1212	#67	—	2	2	no	—
1213	#67	—	2	2	no	—
1214	#67	—	2	2	no	—
1215	#67	—	2	2	no	—
1216	#67	—	2	2	no	—
1217	#67	—	2	2	no	—
1218	#67	—	2	2	no	—
1219	#67	—	4	1	no	—
1220	#67	—	4	1	no	—
1221	#67	—	4	1	no	—
1222	#67	—	4	1	no	—
1223	C₂×Dic₃	—	2	2	no	—
1224	C₂×Dic₃	—	4	1	no	—
1225	C₂×Dic₃	—	4	1	no	—
1226	C₂×Dic₃	—	4	1	no	—
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	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1238	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1239	D₁₂	—	2	2	no	—
1240	D₁₂	—	2	2	no	—
1241	D₁₂	—	2	2	no	—
1242	D₁₂	—	4	1	no	—
1243	D₁₂	—	4	1	no	—
1244	D₁₂	—	4	1	no	—
1245	C₄×D₃	—	2	1	no	—
1246	C₄×D₃	—	2	1	no	—
1247	C₄×D₃	—	2	1	no	—
1248	C₄×D₃	—	2	1	no	—
1249	C₄×D₃	—	2	1	no	—
1250	C₄×D₃	—	2	1	no	—
1251	C₄×D₃	—	2	2	no	—
1252	C₄×D₃	—	2	2	no	—
1253	C₄×D₃	—	4	1	no	—
1254	C₄×D₃	—	4	1	no	—
1255	C₄×D₃	—	4	1	no	—
1256	C₄×D₃	—	4	1	no	—
1257	C₄×D₃	—	4	1	no	—
1258	C₄×D₃	—	4	1	no	—
1259	C₄×D₃	—	4	1	no	—
1260	C₄×D₃	—	4	1	no	—
1261	C₄×D₃	—	4	1	no	—
1262	C₄×D₃	—	4	1	no	—
1263	C₄×D₃	H(5,𝔽₂)	1	2	yes	—
1264	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1265	Dic₆	—	2	2	no	—
1266	Dic₆	—	2	2	no	—
1267	Dic₆	—	2	2	no	—
1268	Dic₆	—	2	2	no	—
1269	Dic₆	—	2	2	no	—
1270	Dic₆	—	4	1	no	—
1271	C₃×C₈	—	2	1	no	—
1272	C₃×C₈	—	2	1	no	—
1273	C₃×C₈	—	2	1	no	—
1274	C₃×C₈	—	2	1	no	—
1275	C₃×C₈	—	2	1	no	—
1276	C₃×C₈	—	2	1	no	—
1277	C₃×C₈	—	2	1	no	—
1278	C₃×C₈	—	2	1	no	—
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	#41	—	6	2	no	—
1288	#41	—	6	2	no	—
1289	#41	—	6	2	no	—
1290	#41	—	6	2	no	—
1291	#41	—	6	2	no	—
1292	#41	—	6	2	no	—
1293	#41	—	12	2	no	—
1294	#41	—	12	2	no	—
1295	C₂×Q₈	—	3	1	no	—
1296	C₂×Q₈	—	3	1	no	—
1297	C₂×Q₈	—	3	1	no	—
1298	C₂×Q₈	—	3	1	no	—
1299	C₂×Q₈	—	3	1	no	—
1300	C₂×Q₈	—	3	1	no	—
1301	C₂×Q₈	—	12	2	no	—
1302	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1303	C₂×D₄	—	3	1	no	—
1304	C₂×D₄	—	3	1	no	—
1305	C₂×D₄	—	3	1	no	—
1306	C₂×D₄	—	3	1	no	—
1307	C₂×D₄	—	3	1	no	—
1308	C₂×D₄	—	3	1	no	—
1309	C₂×D₄	—	3	1	no	—
1310	C₂×D₄	—	3	1	no	—
1311	C₂×D₄	—	3	1	no	—
1312	C₂×D₄	—	3	1	no	—
1313	C₂×D₄	—	3	1	no	—
1314	C₂×D₄	—	3	1	no	—
1315	C₂×D₄	—	3	1	no	—
1316	C₂×D₄	—	3	1	no	—
1317	C₂×D₄	—	3	1	no	—
1318	C₂×D₄	—	3	1	no	—
1319	C₂×D₄	—	3	1	no	—
1320	C₂×D₄	—	3	1	no	—
1321	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1322	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1323	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1324	C₂²×C₄	—	3	1	no	—
1325	C₂²×C₄	—	3	1	no	—
1326	C₂²×C₄	—	3	1	no	—
1327	C₂²×C₄	—	3	1	no	—
1328	C₂²×C₄	—	3	1	no	—
1329	C₂²×C₄	—	3	1	no	—
1330	C₂²×C₄	—	3	1	no	—
1331	C₂²×C₄	—	3	1	no	—
1332	C₂²×C₄	—	3	1	no	—
1333	C₂²×C₄	—	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	—	3	1	no	—
1340	C₂²×C₄	—	3	1	no	—
1341	C₂²×C₄	—	3	1	no	—
1342	C₂²×C₄	—	3	1	no	—
1343	C₂²×C₄	—	3	1	no	—
1344	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1345	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1346	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1347	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1349	M₁₆	—	4	1	no	—
1350	M₁₆	—	4	1	no	—
1351	M₁₆	—	4	1	no	—
1352	M₁₆	—	4	1	no	—
1353	M₁₆	—	6	2	no	—
1354	M₁₆	—	6	2	no	—
1355	M₁₆	—	6	2	no	—
1356	M₁₆	—	6	2	no	—
1357	M₁₆	—	12	1	no	—
1358	M₁₆	—	12	1	no	—
1359	M₁₆	—	12	1	no	—
1360	M₁₆	—	12	1	no	—
1361	M₁₆	—	12	1	no	—
1362	M₁₆	—	12	1	no	—
1363	M₁₆	—	12	1	no	—
1364	M₁₆	—	12	1	no	—
1365	C₂×C₈	—	3	1	no	—
1366	C₂×C₈	—	3	1	no	—
1367	C₂×C₈	—	3	1	no	—
1368	C₂×C₈	—	3	1	no	—
1369	C₂×C₈	—	3	1	no	—
1370	C₂×C₈	—	3	1	no	—
1371	C₂×C₈	—	3	1	no	—
1372	C₂×C₈	—	3	1	no	—
1373	C₂×C₈	—	4	1	no	—
1374	C₂×C₈	—	4	1	no	—
1375	C₂×C₈	—	6	2	no	—
1376	C₂×C₈	—	6	2	no	—
1377	C₂×C₈	—	6	2	no	—
1378	C₂×C₈	—	6	2	no	—
1379	C₂×C₈	—	12	1	no	—
1380	C₂×C₈	—	12	1	no	—
1381	C₂×C₈	—	12	1	no	—
1382	C₂×C₈	—	12	1	no	—
1383	C₂×C₈	—	12	1	no	—
1384	C₂×C₈	—	12	1	no	—
1385	C₂×C₈	—	12	1	no	—
1386	C₂×C₈	—	12	1	no	—
1387	C₂×C₈	—	12	1	no	—
1388	C₂×C₈	—	12	1	no	—
1389	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1390	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1391	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1392	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1393	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1395	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1396	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1408	C₄⋊C₄	—	3	1	no	—
1409	C₄⋊C₄	—	3	1	no	—
1410	C₄⋊C₄	—	3	1	no	—
1411	C₄⋊C₄	—	3	1	no	—
1412	C₄⋊C₄	—	3	1	no	—
1413	C₄⋊C₄	—	3	1	no	—
1414	C₄⋊C₄	—	3	1	no	—
1415	C₄⋊C₄	—	3	1	no	—
1416	C₄⋊C₄	—	3	1	no	—
1417	C₄⋊C₄	—	3	1	no	—
1418	C₄⋊C₄	—	3	1	no	—
1419	C₄⋊C₄	—	3	1	no	—
1420	C₄⋊C₄	—	3	1	no	—
1421	C₄⋊C₄	—	3	1	no	—
1422	C₄⋊C₄	—	3	1	no	—
1423	C₄⋊C₄	—	3	1	no	—
1424	C₄⋊C₄	—	3	1	no	—
1425	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1431	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1432	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1433	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1434	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1435	C₂²⋊C₄	—	3	1	no	—
1436	C₂²⋊C₄	—	3	1	no	—
1437	C₂²⋊C₄	—	3	1	no	—
1438	C₂²⋊C₄	—	3	1	no	—
1439	C₂²⋊C₄	—	3	1	no	—
1440	C₂²⋊C₄	—	3	1	no	—
1441	C₂²⋊C₄	—	3	1	no	—
1442	C₂²⋊C₄	—	3	1	no	—
1443	C₂²⋊C₄	—	3	1	no	—
1444	C₂²⋊C₄	—	3	1	no	—
1445	C₂²⋊C₄	—	3	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	—	3	1	no	—
1455	C₂²⋊C₄	—	3	1	no	—
1456	C₂²⋊C₄	—	3	1	no	—
1457	C₂²⋊C₄	—	3	1	no	—
1458	C₂²⋊C₄	—	3	1	no	—
1459	C₂²⋊C₄	—	3	1	no	—
1460	C₂²⋊C₄	—	3	1	no	—
1461	C₂²⋊C₄	—	3	1	no	—
1462	C₂²⋊C₄	—	3	1	no	—
1463	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1464	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1465	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1468	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1469	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1473	C₄²	—	3	1	no	—
1474	C₄²	—	3	1	no	—
1475	C₄²	—	3	1	no	—
1476	C₄²	—	3	1	no	—
1477	C₄²	—	3	1	no	—
1478	C₄²	—	3	1	no	—
1479	C₄²	—	3	1	no	—
1480	C₄²	—	3	1	no	—
1481	C₄²	—	3	1	no	—
1482	C₄²	—	3	1	no	—
1483	C₄²	—	3	1	no	—
1484	C₄²	—	3	1	no	—
1485	C₄²	—	3	1	no	—
1486	C₄²	—	3	1	no	—
1487	C₄²	—	3	1	no	—
1488	C₄²	—	3	1	no	—
1489	C₄²	—	3	1	no	—
1490	C₄²	—	3	1	no	—
1491	C₄²	—	3	1	no	—
1492	C₄²	—	3	1	no	—
1493	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1494	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1495	C₄²	C₂³×D₃	1	1	yes	characteristic
1496	C₄²	C₂³×D₃	1	1	yes	characteristic
1497	C₄²	C₂³×D₃	1	1	yes	characteristic
1498	C₄²	C₂³×D₃	1	1	yes	characteristic
1499	C₂²×C₃	—	2	1	no	—
1500	C₂²×C₃	—	2	1	no	—
1501	C₂²×C₃	—	2	1	no	—
1502	C₂²×C₃	—	2	1	no	—
1503	C₂²×C₃	—	2	1	no	—
1504	C₂²×C₃	—	2	1	no	—
1505	C₂²×C₃	—	2	1	no	—
1506	C₂²×C₃	—	2	1	no	—
1507	C₂²×C₃	—	2	1	no	—
1508	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1509	C₂×D₃	—	2	1	no	—
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	1	no	—
1516	C₂×D₃	—	2	1	no	—
1517	C₂×D₃	—	2	1	no	—
1518	C₂×D₃	—	2	1	no	—
1519	C₂×D₃	—	2	1	no	—
1520	C₂×D₃	#520	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	1	no	—
1526	C₃×C₄	—	2	1	no	—
1527	C₃×C₄	—	2	1	no	—
1528	C₃×C₄	—	2	1	no	—
1529	C₃×C₄	—	2	1	no	—
1530	C₃×C₄	—	2	1	no	—
1531	C₃×C₄	—	2	1	no	—
1532	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1533	C₃×C₄	C₂×2₋¹⁺⁴	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	1	no	—
1540	Dic₃	—	2	1	no	—
1541	Dic₃	—	2	1	no	—
1542	Dic₃	—	2	1	no	—
1543	Dic₃	—	2	1	no	—
1544	Dic₃	#520	1	2	yes	—
1545	Dic₃	#568	1	2	yes	—
1546	C₂³	—	3	1	no	—
1547	C₂³	—	3	1	no	—
1548	C₂³	—	3	1	no	—
1549	C₂³	—	3	1	no	—
1550	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1551	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1552	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1553	Q₈	—	4	1	no	—
1554	Q₈	—	6	2	no	—
1555	Q₈	—	6	2	no	—
1556	Q₈	—	6	2	no	—
1557	Q₈	—	6	2	no	—
1558	Q₈	—	6	2	no	—
1559	Q₈	—	12	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	4	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	6	2	no	—
1564	D₄	—	6	2	no	—
1565	D₄	—	6	2	no	—
1566	D₄	—	6	2	no	—
1567	D₄	—	6	2	no	—
1568	D₄	—	6	2	no	—
1569	D₄	—	6	2	no	—
1570	D₄	—	6	2	no	—
1571	D₄	—	6	2	no	—
1572	D₄	—	6	2	no	—
1573	D₄	—	6	2	no	—
1574	D₄	—	12	1	no	—
1575	D₄	—	12	1	no	—
1576	D₄	—	12	1	no	—
1577	D₄	—	12	1	no	—
1578	D₄	—	12	1	no	—
1579	D₄	—	12	1	no	—
1580	D₄	—	12	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	3	1	no	—
1588	C₂×C₄	—	3	1	no	—
1589	C₂×C₄	—	3	2	no	—
1590	C₂×C₄	—	3	2	no	—
1591	C₂×C₄	—	3	1	no	—
1592	C₂×C₄	—	3	1	no	—
1593	C₂×C₄	—	3	1	no	—
1594	C₂×C₄	—	3	1	no	—
1595	C₂×C₄	—	3	1	no	—
1596	C₂×C₄	—	3	1	no	—
1597	C₂×C₄	—	3	1	no	—
1598	C₂×C₄	—	3	1	no	—
1599	C₂×C₄	—	3	1	no	—
1600	C₂×C₄	—	3	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	6	2	no	—
1604	C₂×C₄	—	6	2	no	—
1605	C₂×C₄	—	6	2	no	—
1606	C₂×C₄	—	6	1	no	—
1607	C₂×C₄	—	6	1	no	—
1608	C₂×C₄	—	6	1	no	—
1609	C₂×C₄	—	6	1	no	—
1610	C₂×C₄	—	6	1	no	—
1611	C₂×C₄	—	6	1	no	—
1612	C₂×C₄	—	12	1	no	—
1613	C₂×C₄	—	12	1	no	—
1614	C₂×C₄	—	12	1	no	—
1615	C₂×C₄	—	12	1	no	—
1616	C₂×C₄	—	12	1	no	—
1617	C₂×C₄	—	12	1	no	—
1618	C₂×C₄	—	12	1	no	—
1619	C₂×C₄	—	12	1	no	—
1620	C₂×C₄	—	12	1	no	—
1621	C₂×C₄	—	12	1	no	—
1622	C₂×C₄	—	12	1	no	—
1623	C₂×C₄	—	12	1	no	—
1624	C₂×C₄	—	12	1	no	—
1625	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1627	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1628	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1629	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1630	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1631	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1632	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1636	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1637	C₈	—	2	1	no	—
1638	C₈	—	2	1	no	—
1639	C₈	—	2	1	no	—
1640	C₈	—	2	1	no	—
1641	C₈	—	2	1	no	—
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	6	1	no	—
1646	C₈	—	6	1	no	—
1647	C₈	—	6	1	no	—
1648	C₈	—	6	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	1	no	—
1655	C₂×C₃	—	4	1	no	—
1656	C₂×C₃	C₂×#520	1	1	yes	characteristic
1657	C₂×C₃	C₂×#568	1	1	yes	characteristic
1658	C₂×C₃	#3573	1	1	yes	characteristic
1659	D₃	—	2	2	no	—
1660	D₃	—	4	1	no	—
1661	D₃	—	4	1	no	—
1662	D₃	—	4	1	no	—
1663	C₂²	—	2	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	3	2	no	—
1673	C₂²	—	6	1	no	—
1674	C₂²	—	6	1	no	—
1675	C₂²	—	6	1	no	—
1676	C₂²	—	6	1	no	—
1677	C₂²	—	6	1	no	—
1678	C₂²	—	6	1	no	—
1679	C₂²	—	6	1	no	—
1680	C₂²	—	6	1	no	—
1681	C₂²	—	6	1	no	—
1682	C₂²	—	6	1	no	—
1683	C₂²	—	6	1	no	—
1684	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	3	2	no	—
1697	C₄	—	3	2	no	—
1698	C₄	—	6	1	no	—
1699	C₄	—	6	1	no	—
1700	C₄	—	6	1	no	—
1701	C₄	—	6	1	no	—
1702	C₄	—	6	1	no	—
1703	C₄	—	6	1	no	—
1704	C₄	—	6	1	no	—
1705	C₄	—	6	1	no	—
1706	C₄	—	6	1	no	—
1707	C₄	—	6	1	no	—
1708	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1709	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1710	C₃	#60275	1	1	yes	characteristic, complemented, Sylow
1711	C₂	—	4	1	no	—
1712	C₂	—	4	1	no	—
1713	C₂	—	4	1	no	—
1714	C₂	—	6	2	no	—
1715	C₂	—	12	1	no	—
1716	C₂	—	12	1	no	—
1717	C₂	—	12	1	no	—
1718	C₂	D₃×#520	1	1	yes	characteristic
1719	C₂	D₃×#568	1	1	yes	characteristic
1720	C₂	#87166	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2995	C₂
prime radical	#86152	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2995	D₃
hypocenter	C₃	#60275
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2995

Complements

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

N	H ≅ G/N	type
2. C₃×#2995	C₂	semidirect
3. #83130	C₂	semidirect
4. #79962	C₂	semidirect
5. D₃×#446	C₂	semidirect
6. #79949	C₂	semidirect
7. #79946	C₂	semidirect
8. #79541	C₂	semidirect
9. #79538	C₂	semidirect
10. #79528	C₂	semidirect
11. #79525	C₂	semidirect
12. #79484	C₂	semidirect
13. #79484	C₂	semidirect
14. #79480	C₂	semidirect
15. #79480	C₂	semidirect
16. #79466	C₂	semidirect
17. #79463	C₂	semidirect
18. #79462	C₂	semidirect
19. #79461	C₂	semidirect
20. #79382	C₂	semidirect
21. #79381	C₂	semidirect
22. #79373	C₂	semidirect
23. #79372	C₂	semidirect
24. #79340	C₂	semidirect
25. #79332	C₂	semidirect
26. #79083	C₂	semidirect
27. #79082	C₂	semidirect
28. #79081	C₂	semidirect
29. #79081	C₂	semidirect
30. #79050	C₂	semidirect
31. #79049	C₂	semidirect
208. #2995	D₃	semidirect
1710. C₃	#60275	semidirect

Maximal subgroups

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

subgroup	index
#86152	2
C₃×#2995	2
#83130	2
#79962	2
D₃×#446	2
#79949	2
#79946	2
#79541	2
#79538	2
#79528	2
#79525	2
#79484	2
#79480	2
#79466	2
#79463	2
#79462	2
#79461	2
#79382	2
#79381	2
#79373	2
#79372	2
#79340	2
#79332	2
#79083	2
#79082	2
#79081	2
#79050	2
#79049	2
#60275	3