Subgroups — #11660421

Order 768.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#85841	C₂	1	1	yes	maximal, characteristic
2	C₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
3	#82522	C₂	1	1	yes	maximal, characteristic, complemented
4	#79961	C₂	1	1	yes	maximal, characteristic, complemented
5	#79959	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	#79539	C₂	1	1	yes	maximal, characteristic, complemented
9	#79537	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	#79483	C₂	1	1	yes	maximal, characteristic, complemented
13	#79481	C₂	1	1	yes	maximal, characteristic, complemented
14	#79478	C₂	1	1	yes	maximal, characteristic, complemented
15	D₃×#435	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	#79342	C₂	1	1	yes	maximal, characteristic, complemented
21	#79341	C₂	1	1	yes	maximal, characteristic, complemented
22	#79333	C₂	1	1	yes	maximal, characteristic, complemented
23	#79332	C₂	1	1	yes	maximal, characteristic, complemented
24	#79296	C₂	1	1	yes	maximal, characteristic, complemented
25	#79284	C₂	1	1	yes	maximal, characteristic, complemented
26	#79054	C₂	1	1	yes	maximal, characteristic, complemented
27	#79053	C₂	1	1	yes	maximal, characteristic, complemented
28	#79049	C₂	1	1	yes	maximal, characteristic, complemented
29	#79048	C₂	1	1	yes	maximal, characteristic, complemented
30	#79016	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#4839	C₂	1	1	yes	maximal, characteristic, complemented
32	#60272	—	3	1	no	maximal, Sylow
33	C₃×C₄×#41	C₂²	1	1	yes	characteristic
34	#5829	C₄	1	1	yes	characteristic
35	#5824	C₄	1	1	yes	characteristic
36	C₂×#907	C₂²	1	1	yes	characteristic
37	C₂×#907	C₂²	1	1	yes	characteristic
38	C₂×D₃×M₁₆	C₂²	1	1	yes	characteristic
39	C₂×D₃×M₁₆	C₂²	1	1	yes	characteristic
40	C₂²×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic
41	C₂²×D₃×C₈	C₂²	1	1	yes	characteristic
42	#5581	C₄	1	1	yes	characteristic
43	#5580	C₂²	1	1	yes	characteristic
44	#5578	C₂²	1	1	yes	characteristic
45	#5568	C₄	1	1	yes	characteristic
46	#5556	C₄	1	1	yes	characteristic
47	#5556	C₄	1	1	yes	characteristic
48	#5554	C₄	1	1	yes	characteristic
49	#5547	C₂²	1	1	yes	characteristic
50	#5547	C₂²	1	1	yes	characteristic
51	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
52	#5540	C₄	1	1	yes	characteristic
53	#5540	C₄	1	1	yes	characteristic
54	#5539	C₄	1	1	yes	characteristic
55	#5538	C₂²	1	1	yes	characteristic
56	#5538	C₂²	1	1	yes	characteristic
57	C₄×#237	C₂²	1	1	yes	characteristic
58	#5532	C₄	1	1	yes	characteristic
59	#5531	C₄	1	1	yes	characteristic
60	#5531	C₄	1	1	yes	characteristic
61	#5529	C₄	1	1	yes	characteristic
62	#5527	C₄	1	1	yes	characteristic
63	#5527	C₄	1	1	yes	characteristic
64	#5479	C₂²	1	1	yes	characteristic
65	#5479	C₂²	1	1	yes	characteristic
66	#5479	C₂²	1	1	yes	characteristic
67	C₄×#235	C₂²	1	1	yes	characteristic
68	C₂×#872	C₂²	1	1	yes	characteristic
69	C₂×#872	C₂²	1	1	yes	characteristic
70	C₃×#446	C₂²	1	1	yes	characteristic, complemented
71	C₃×#446	C₂²	1	1	yes	characteristic, complemented
72	C₃×#436	C₂²	1	1	yes	characteristic, complemented
73	C₃×#436	C₂²	1	1	yes	characteristic, complemented
74	C₃×#435	C₂²	1	1	yes	characteristic
75	C₃×#435	C₂²	1	1	yes	characteristic
76	C₃×#435	C₂²	1	1	yes	characteristic, complemented
77	C₃×#435	C₂²	1	1	yes	characteristic, complemented
78	C₃×#432	C₂²	1	1	yes	characteristic, complemented
79	C₃×#432	C₂²	1	1	yes	characteristic, complemented
80	C₃×#431	C₂²	1	1	yes	characteristic, complemented
81	C₃×#423	C₂²	1	1	yes	characteristic, complemented
82	C₃×#423	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
84	#5128	C₂²	1	1	yes	characteristic
85	#5128	C₂²	1	1	yes	characteristic, complemented
86	#5128	C₂²	1	1	yes	characteristic, complemented
87	#5128	C₂²	1	1	yes	characteristic, complemented
88	#5127	C₂²	1	1	yes	characteristic
89	#5127	C₂²	1	1	yes	characteristic, complemented
90	#5127	C₂²	1	1	yes	characteristic, complemented
91	#5127	C₂²	1	1	yes	characteristic, complemented
92	#5119	C₂²	1	1	yes	characteristic, complemented
93	#5119	C₂²	1	1	yes	characteristic, complemented
94	#5118	C₂²	1	1	yes	characteristic, complemented
95	#5118	C₂²	1	1	yes	characteristic, complemented
96	#5111	C₂²	1	1	yes	characteristic
97	#5111	C₂²	1	1	yes	characteristic, complemented
98	C₈×#67	C₂²	1	1	yes	characteristic
99	C₈×#67	C₂²	1	1	yes	characteristic, complemented
100	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
101	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
102	#5024	C₂²	1	1	yes	characteristic, complemented
103	#5024	C₂²	1	1	yes	characteristic, complemented
104	#5011	C₂²	1	1	yes	characteristic
105	#5011	C₂²	1	1	yes	characteristic
106	#5011	C₂²	1	1	yes	characteristic, complemented
107	#5011	C₂²	1	1	yes	characteristic, complemented
108	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
109	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
110	#4926	C₂²	1	1	yes	characteristic, complemented
111	#4926	C₂²	1	1	yes	characteristic, complemented
112	#4925	C₂²	1	1	yes	characteristic, complemented
113	#4924	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
116	#4840	C₂²	1	1	yes	characteristic, complemented
117	#4840	C₂²	1	1	yes	characteristic, complemented
118	#4840	C₂²	1	1	yes	characteristic, complemented
119	#4840	C₂²	1	1	yes	characteristic, complemented
120	#4840	C₂²	1	1	yes	characteristic, complemented
121	#4840	C₂²	1	1	yes	characteristic, complemented
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	#4839	C₂²	1	1	yes	characteristic
129	#4839	C₂²	1	1	yes	characteristic
130	#4839	C₂²	1	1	yes	characteristic, complemented
131	#4839	C₂²	1	1	yes	characteristic, complemented
132	#4839	C₂²	1	1	yes	characteristic, complemented
133	#4839	C₂²	1	1	yes	characteristic, complemented
134	#4839	C₂²	1	1	yes	characteristic, complemented
135	#4839	C₂²	1	1	yes	characteristic, complemented
136	#4839	C₂²	1	1	yes	characteristic, complemented
137	#4839	C₂²	1	1	yes	characteristic, complemented
138	#4839	C₂²	1	1	yes	characteristic, complemented
139	#4839	C₂²	1	1	yes	characteristic, complemented
140	#4838	C₂²	1	1	yes	characteristic, complemented
141	#4837	C₂²	1	1	yes	characteristic
142	#4837	C₂²	1	1	yes	characteristic, complemented
143	#4836	C₂²	1	1	yes	characteristic
144	#4836	C₂²	1	1	yes	characteristic
145	#4836	C₂²	1	1	yes	characteristic, complemented
146	#4836	C₂²	1	1	yes	characteristic, complemented
147	#4834	C₂²	1	1	yes	characteristic, complemented
148	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
149	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
150	#4831	C₂²	1	1	yes	characteristic, complemented
151	#4830	C₂²	1	1	yes	characteristic, complemented
152	#4828	C₂²	1	1	yes	characteristic, complemented
153	#4828	C₂²	1	1	yes	characteristic, complemented
154	#4828	C₂²	1	1	yes	characteristic, complemented
155	#4828	C₂²	1	1	yes	characteristic, complemented
156	#4730	C₂²	1	1	yes	characteristic
157	#4730	C₂²	1	1	yes	characteristic, complemented
158	#4730	C₂²	1	1	yes	characteristic, complemented
159	#4730	C₂²	1	1	yes	characteristic, complemented
160	#4729	C₂²	1	1	yes	characteristic
161	#4729	C₂²	1	1	yes	characteristic, complemented
162	#4728	C₂²	1	1	yes	characteristic
163	#4728	C₂²	1	1	yes	characteristic, complemented
164	#4727	C₂²	1	1	yes	characteristic
165	#4727	C₂²	1	1	yes	characteristic
166	#4726	C₂²	1	1	yes	characteristic
167	#4726	C₂²	1	1	yes	characteristic
168	#67⋊C₈	C₂²	1	1	yes	characteristic
169	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
170	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
171	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
172	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
173	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
174	#4720	C₂²	1	1	yes	characteristic, complemented
175	#4720	C₂²	1	1	yes	characteristic, complemented
176	#4719	C₂²	1	1	yes	characteristic, complemented
177	#4719	C₂²	1	1	yes	characteristic, complemented
178	#4718	C₂²	1	1	yes	characteristic, complemented
179	#4718	C₂²	1	1	yes	characteristic, complemented
180	#4709	C₂²	1	1	yes	characteristic, complemented
181	#4709	C₂²	1	1	yes	characteristic, complemented
182	#4708	C₂²	1	1	yes	characteristic
183	#4708	C₂²	1	1	yes	characteristic
184	#4707	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, complemented
188	#4706	C₂²	1	1	yes	characteristic, complemented
189	#4705	C₂²	1	1	yes	characteristic, complemented
190	#4705	C₂²	1	1	yes	characteristic, complemented
191	D₃×#97	C₂²	1	1	yes	characteristic
192	#4701	C₂²	1	1	yes	characteristic, complemented
193	#4701	C₂²	1	1	yes	characteristic, complemented
194	#4701	C₂²	1	1	yes	characteristic, complemented
195	#4701	C₂²	1	1	yes	characteristic, complemented
196	#4690	C₂²	1	1	yes	characteristic, complemented
197	#4690	C₂²	1	1	yes	characteristic, complemented
198	#4689	C₂²	1	1	yes	characteristic
199	#4689	C₂²	1	1	yes	characteristic
200	#4688	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
202	#4679	C₂²	1	1	yes	characteristic, complemented
203	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
204	#3475	—	3	1	no	—
205	#2995	—	3	1	no	—
206	#2995	—	3	1	no	—
207	#2995	—	3	1	no	—
208	#2995	—	3	1	no	—
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	D₃	1	1	yes	characteristic, complemented
221	#2962	—	3	1	no	—
222	#2961	—	3	1	no	—
223	D₄×M₁₆	—	3	1	no	—
224	#2933	—	3	1	no	—
225	#2933	—	3	1	no	—
226	#2930	—	3	1	no	—
227	#2929	—	3	1	no	—
228	C₂×#435	—	3	1	no	—
229	#2924	—	3	1	no	—
230	#2924	—	3	1	no	—
231	#2923	—	3	1	no	—
232	#2906	—	3	1	no	—
233	#2905	—	3	1	no	—
234	C₂×#424	—	3	1	no	—
235	C₂×C₃×#41	C₂×C₄	1	1	yes	characteristic
236	C₂×#237	C₂×C₄	1	1	yes	characteristic
237	C₂×D₃×D₄	C₂×C₄	1	1	yes	characteristic
238	C₂×#235	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₃	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×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
248	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
249	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
250	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
251	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
252	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
253	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
254	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
255	C₃×#117	C₂×C₄	1	1	yes	characteristic
256	C₃×#117	C₂×C₄	1	1	yes	characteristic
257	C₃×#117	C₂×C₄	1	1	yes	characteristic
258	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
261	#947	C₂×C₄	1	1	yes	characteristic
262	#946	C₂×C₄	1	1	yes	characteristic
263	#946	C₂×C₄	1	1	yes	characteristic
264	#944	C₂×C₄	1	1	yes	characteristic
265	#939	C₂×C₄	1	1	yes	characteristic
266	#939	C₂×C₄	1	1	yes	characteristic
267	#939	C₂×C₄	1	1	yes	characteristic
268	#939	C₂×C₄	1	1	yes	characteristic
269	#937	C₂×C₄	1	1	yes	characteristic
270	#937	C₂×C₄	1	1	yes	characteristic
271	#935	C₂×C₄	1	1	yes	characteristic
272	#935	C₂×C₄	1	1	yes	characteristic
273	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
274	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
275	#930	C₂×C₄	1	1	yes	characteristic
276	#930	C₂×C₄	1	1	yes	characteristic
277	#930	C₂×C₄	1	1	yes	characteristic
278	#929	C₂×C₄	1	1	yes	characteristic
279	#929	C₂×C₄	1	1	yes	characteristic
280	#929	C₂×C₄	1	1	yes	characteristic
281	#929	C₂×C₄	1	1	yes	characteristic
282	#929	C₂×C₄	1	1	yes	characteristic
283	#929	C₂×C₄	1	1	yes	characteristic
284	C₄×#67	C₂×C₄	1	1	yes	characteristic
285	C₄×#67	C₂×C₄	1	1	yes	characteristic
286	C₄×#67	C₂×C₄	1	1	yes	characteristic
287	C₄×#67	C₂×C₄	1	1	yes	characteristic
288	C₄×#67	C₂³	1	1	yes	characteristic
289	C₄×#67	C₂³	1	1	yes	characteristic
290	C₄×#67	C₂³	1	1	yes	characteristic
291	C₄×#67	C₂³	1	1	yes	characteristic
292	C₄×#67	C₂³	1	1	yes	characteristic
293	C₄×#67	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
295	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
297	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
298	#926	C₂³	1	1	yes	characteristic
299	#924	C₂×C₄	1	1	yes	characteristic
300	#924	C₂×C₄	1	1	yes	characteristic
301	#924	C₂×C₄	1	1	yes	characteristic
302	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
303	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
304	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
305	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
306	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
308	C₂×#208	C₂³	1	1	yes	characteristic
309	C₂×#208	C₂³	1	1	yes	characteristic
310	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
311	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
312	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
313	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
314	#907	—	4	2	no	—
315	#907	—	4	2	no	—
316	D₃×M₁₆	—	4	2	no	—
317	D₃×M₁₆	—	4	2	no	—
318	C₂×ΓL(1,𝔽₂₅)	—	4	2	no	—
319	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
320	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
321	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
322	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
323	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
324	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
325	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
326	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
327	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
328	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
329	C₂×D₃×C₈	—	4	2	no	—
330	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
331	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
332	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
333	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
334	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
335	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
336	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
337	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
338	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
339	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
340	#898	C₂×C₄	1	1	yes	characteristic
341	#898	C₂×C₄	1	1	yes	characteristic
342	#898	C₂×C₄	1	1	yes	characteristic
343	#898	C₂×C₄	1	1	yes	characteristic
344	#897	C₂×C₄	1	1	yes	characteristic
345	#896	C₂×C₄	1	1	yes	characteristic
346	#896	C₂×C₄	1	1	yes	characteristic
347	#896	C₂×C₄	1	1	yes	characteristic
348	#896	C₂×C₄	1	1	yes	characteristic
349	#895	C₂×C₄	1	1	yes	characteristic
350	#894	C₂×C₄	1	1	yes	characteristic
351	#894	C₂×C₄	1	1	yes	characteristic
352	#894	C₂×C₄	1	1	yes	characteristic
353	#894	C₂×C₄	1	1	yes	characteristic
354	#893	C₂×C₄	1	1	yes	characteristic
355	#892	C₂×C₄	1	1	yes	characteristic
356	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
357	#890	C₂×C₄	1	1	yes	characteristic
358	#889	C₂×C₄	1	1	yes	characteristic
359	#889	C₂×C₄	1	1	yes	characteristic
360	#889	C₂×C₄	1	1	yes	characteristic
361	#889	C₂×C₄	1	1	yes	characteristic
362	#888	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	#884	C₂×C₄	1	1	yes	characteristic
369	#884	C₂×C₄	1	1	yes	characteristic
370	#883	C₂×C₄	1	1	yes	characteristic
371	#883	C₂×C₄	1	1	yes	characteristic
372	#882	C₂×C₄	1	1	yes	characteristic
373	#882	C₂×C₄	1	1	yes	characteristic
374	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
375	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
376	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
377	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
378	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
379	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
380	#879	C₂×C₄	1	1	yes	characteristic
381	#879	C₂×C₄	1	1	yes	characteristic
382	#878	C₂×C₄	1	1	yes	characteristic
383	#878	C₂×C₄	1	1	yes	characteristic
384	#878	C₂×C₄	1	1	yes	characteristic
385	#878	C₂×C₄	1	1	yes	characteristic
386	#877	C₂×C₄	1	1	yes	characteristic
387	#877	C₂×C₄	1	1	yes	characteristic
388	#876	C₂×C₄	1	1	yes	characteristic
389	#876	C₂×C₄	1	1	yes	characteristic
390	#876	C₂×C₄	1	1	yes	characteristic
391	#876	C₂×C₄	1	1	yes	characteristic
392	#876	C₂×C₄	1	1	yes	characteristic
393	#876	C₂×C₄	1	1	yes	characteristic
394	#875	C₂×C₄	1	1	yes	characteristic
395	#875	C₂×C₄	1	1	yes	characteristic
396	#875	C₂×C₄	1	1	yes	characteristic
397	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
398	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
399	C₄×D₁₂	C₂³	1	1	yes	characteristic
400	C₄×D₁₂	C₂³	1	1	yes	characteristic
401	C₄×D₁₂	C₂³	1	1	yes	characteristic
402	#872	C₂×C₄	1	1	yes	characteristic
403	#872	C₂×C₄	1	1	yes	characteristic
404	#872	C₂×C₄	1	1	yes	characteristic
405	#872	C₂×C₄	1	1	yes	characteristic
406	#872	C₂×C₄	1	1	yes	characteristic
407	#872	C₂×C₄	1	1	yes	characteristic
408	#872	C₂×C₄	1	1	yes	characteristic
409	#872	C₂×C₄	1	1	yes	characteristic
410	#872	C₂³	1	1	yes	characteristic
411	#872	C₂³	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	#872	C₂³	1	1	yes	characteristic
417	#872	C₂³	1	1	yes	characteristic
418	C₄²×D₃	C₂³	1	1	yes	characteristic
419	C₄²×D₃	C₂³	1	1	yes	characteristic
420	#870	C₂×C₄	1	1	yes	characteristic
421	#870	C₂×C₄	1	1	yes	characteristic
422	#870	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	C₂²×M₁₆	—	3	1	no	—
519	C₂²×M₁₆	—	3	1	no	—
520	C₂²×M₁₆	—	3	1	no	—
521	C₂³×C₈	—	3	1	no	—
522	#556	—	3	1	no	—
523	#555	—	3	1	no	—
524	#554	—	3	1	no	—
525	#553	—	3	1	no	—
526	#553	—	3	1	no	—
527	#552	—	3	1	no	—
528	#552	—	3	1	no	—
529	#552	—	3	1	no	—
530	#552	—	3	1	no	—
531	#551	—	3	1	no	—
532	#551	—	3	1	no	—
533	#551	—	3	1	no	—
534	#551	—	3	1	no	—
535	#547	—	3	1	no	—
536	#546	—	3	1	no	—
537	#546	—	3	1	no	—
538	#533	—	3	1	no	—
539	#529	—	3	1	no	—
540	#529	—	3	1	no	—
541	#529	—	3	1	no	—
542	#529	—	3	1	no	—
543	#529	—	3	1	no	—
544	#529	—	3	1	no	—
545	#525	—	3	1	no	—
546	#525	—	3	1	no	—
547	C₄×#41	—	3	1	no	—
548	C₄×#41	—	3	1	no	—
549	C₄×#41	C₂×D₃	1	1	yes	characteristic
550	C₂×C₄×D₄	—	3	1	no	—
551	C₂×#117	—	3	1	no	—
552	C₂×#117	—	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, complemented
566	#446	C₂×D₃	1	1	yes	characteristic, complemented
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, complemented
578	#436	C₂×D₃	1	1	yes	characteristic, complemented
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, complemented
606	#435	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
628	#433	—	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	—	3	1	no	—
635	#432	C₂×D₃	1	1	yes	characteristic, complemented
636	#432	C₂×D₃	1	1	yes	characteristic, complemented
637	#431	—	3	1	no	—
638	#431	—	3	1	no	—
639	#431	—	3	1	no	—
640	#431	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
656	#424	—	3	1	no	—
657	#424	—	3	1	no	—
658	#424	—	3	1	no	—
659	#424	—	3	1	no	—
660	#424	—	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	—	3	1	no	—
666	#423	C₂×D₃	1	1	yes	characteristic, complemented
667	#423	C₂×D₃	1	1	yes	characteristic, complemented
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	C₂×D₃	1	1	yes	characteristic, complemented
675	#408	—	3	1	no	—
676	#408	—	3	1	no	—
677	#407	—	3	1	no	—
678	#407	—	3	1	no	—
679	C₂×C₂²⋊C₈	—	3	1	no	—
680	C₂×C₂²⋊C₈	—	3	1	no	—
681	#405	—	3	1	no	—
682	#405	—	3	1	no	—
683	#405	—	3	1	no	—
684	#405	—	3	1	no	—
685	C₄×M₁₆	—	3	1	no	—
686	C₂×#97	—	3	1	no	—
687	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
688	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
689	C₃×#41	—	4	2	no	—
690	C₂×C₃×Q₈	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	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
696	C₂²×C₃×C₄	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	C₂²×C₄	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	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	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	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
712	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
713	C₂²×Dic₃	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	#237	—	4	2	no	—
718	D₃×D₄	—	4	2	no	—
719	#235	—	2	2	no	—
720	#235	—	2	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×C₄×D₃	—	2	2	no	—
726	C₂×C₄×D₃	—	2	2	no	—
727	C₂×C₄×D₃	—	2	2	no	—
728	C₂×C₄×D₃	—	2	2	no	—
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	C₂⁴	1	1	yes	characteristic
738	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
739	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
740	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
741	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
742	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
743	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
744	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
745	C₃×M₁₆	—	4	1	no	—
746	C₃×M₁₆	—	4	1	no	—
747	C₃×M₁₆	—	4	1	no	—
748	C₃×M₁₆	—	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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₃×C₄⋊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	C₂²×C₄	1	1	yes	characteristic
774	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
775	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
776	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
777	C₃×C₄²	C₂⁴	1	1	yes	characteristic
778	C₃×C₄²	C₂⁴	1	1	yes	characteristic
779	C₃×C₄²	C₂⁴	1	1	yes	characteristic
780	C₃×C₄²	C₂⁴	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	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	(C₂×D₃)⋊C₄	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	(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	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
846	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
847	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
848	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
849	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
850	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
851	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
852	Dic₃⋊C₄	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	C₄×D₃	1	1	yes	characteristic
902	C₂²×D₄	—	3	1	no	—
903	C₂³×C₄	—	3	1	no	—
904	C₂³×C₄	—	3	1	no	—
905	#131	—	12	2	no	—
906	#131	—	12	2	no	—
907	C₂×M₁₆	—	3	1	no	—
908	C₂×M₁₆	—	3	1	no	—
909	C₂×M₁₆	—	3	1	no	—
910	C₂×M₁₆	—	3	1	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	—	12	2	no	—
920	C₂×M₁₆	—	12	2	no	—
921	C₂×M₁₆	—	12	2	no	—
922	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
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	C₂²×C₈	—	3	1	no	—
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	—	12	2	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	#126	—	3	1	no	—
946	#126	—	3	1	no	—
947	#126	—	3	1	no	—
948	#126	—	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	#125	—	3	1	no	—
958	#125	—	3	1	no	—
959	#125	—	3	1	no	—
960	#125	—	3	1	no	—
961	#125	—	3	1	no	—
962	#125	—	3	1	no	—
963	#125	—	3	1	no	—
964	#125	—	3	1	no	—
965	#124	—	3	1	no	—
966	#124	—	3	1	no	—
967	#124	—	3	1	no	—
968	#124	—	3	1	no	—
969	#124	—	3	1	no	—
970	#124	—	3	1	no	—
971	#123	—	3	1	no	—
972	#123	—	3	1	no	—
973	#123	—	3	1	no	—
974	#123	—	3	1	no	—
975	#123	—	3	1	no	—
976	#123	—	3	1	no	—
977	#123	—	3	1	no	—
978	#123	—	3	1	no	—
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	C₂²⋊Q₈	—	3	1	no	—
988	C₂²⋊Q₈	—	3	1	no	—
989	C₂²⋊Q₈	—	3	1	no	—
990	C₂²⋊Q₈	—	3	1	no	—
991	C₂²⋊Q₈	—	3	1	no	—
992	C₂²⋊Q₈	—	3	1	no	—
993	C₂²⋊Q₈	—	3	1	no	—
994	C₂²⋊Q₈	—	3	1	no	—
995	C₂²⋊Q₈	—	3	1	no	—
996	C₂²⋊Q₈	—	3	1	no	—
997	C₂²⋊Q₈	—	3	1	no	—
998	C₂²⋊Q₈	—	3	1	no	—
999	C₂²⋊Q₈	—	3	1	no	—
1000	C₂²⋊Q₈	—	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	#120	—	3	1	no	—
1012	#120	—	3	1	no	—
1013	#120	—	3	1	no	—
1014	#120	—	3	1	no	—
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	C₄×D₃	1	1	yes	characteristic
1022	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
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	—	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	C₄×D₃	1	1	yes	characteristic
1046	C₄×D₄	C₄×D₃	1	1	yes	characteristic
1047	C₄×D₄	C₄×D₃	1	1	yes	characteristic
1048	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1049	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1050	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1051	#117	—	3	1	no	—
1052	#117	—	3	1	no	—
1053	#117	—	3	1	no	—
1054	#117	—	3	1	no	—
1055	#117	—	3	1	no	—
1056	#117	—	3	1	no	—
1057	#117	—	3	1	no	—
1058	#117	—	3	1	no	—
1059	#117	—	3	1	no	—
1060	#117	—	3	1	no	—
1061	#117	—	3	1	no	—
1062	#117	—	3	1	no	—
1063	#117	—	3	1	no	—
1064	#117	—	3	1	no	—
1065	#117	—	3	1	no	—
1066	#117	—	3	1	no	—
1067	#117	—	3	1	no	—
1068	#117	—	3	1	no	—
1069	#117	—	3	1	no	—
1070	#117	—	3	1	no	—
1071	#117	C₄×D₃	1	1	yes	characteristic
1072	#117	C₄×D₃	1	1	yes	characteristic
1073	#117	C₄×D₃	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	—	3	1	no	—
1075	C₂×C₄⋊C₄	—	3	1	no	—
1076	C₂×C₄⋊C₄	—	3	1	no	—
1077	C₂×C₄⋊C₄	—	3	1	no	—
1078	C₂×C₄⋊C₄	—	3	1	no	—
1079	C₂×C₂²⋊C₄	—	3	1	no	—
1080	C₂×C₂²⋊C₄	—	3	1	no	—
1081	C₂×C₂²⋊C₄	—	3	1	no	—
1082	C₂×C₂²⋊C₄	—	3	1	no	—
1083	C₂×C₂²⋊C₄	—	3	1	no	—
1084	C₂×C₂²⋊C₄	—	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	C₂²×D₃	1	1	yes	characteristic
1090	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
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	—	2	2	no	—
1184	C₂²×D₃	—	2	2	no	—
1185	C₂²×D₃	—	2	2	no	—
1186	C₂²×D₃	—	4	1	no	—
1187	C₂²×D₃	—	4	1	no	—
1188	C₂²×D₃	—	4	1	no	—
1189	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1190	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1191	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1192	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1193	C₃×Q₈	—	4	1	no	—
1194	C₃×D₄	—	2	2	no	—
1195	C₃×D₄	—	2	2	no	—
1196	C₃×D₄	—	4	1	no	—
1197	C₂×C₃×C₄	—	2	2	no	—
1198	C₂×C₃×C₄	—	2	1	no	—
1199	C₂×C₃×C₄	—	2	1	no	—
1200	C₂×C₃×C₄	—	2	1	no	—
1201	C₂×C₃×C₄	—	2	1	no	—
1202	C₂×C₃×C₄	—	2	1	no	—
1203	C₂×C₃×C₄	—	2	1	no	—
1204	C₂×C₃×C₄	—	4	1	no	—
1205	C₂×C₃×C₄	—	4	1	no	—
1206	C₂×C₃×C₄	—	4	1	no	—
1207	C₂×C₃×C₄	—	4	1	no	—
1208	C₂×C₃×C₄	—	4	1	no	—
1209	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1210	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1211	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1212	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1213	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1214	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1215	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1216	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1217	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1218	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1219	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1220	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1221	#67	—	2	2	no	—
1222	#67	—	2	2	no	—
1223	#67	—	2	2	no	—
1224	#67	—	2	2	no	—
1225	#67	—	4	1	no	—
1226	#67	—	4	1	no	—
1227	#67	—	4	1	no	—
1228	#67	—	4	1	no	—
1229	C₂×Dic₃	—	2	2	no	—
1230	C₂×Dic₃	—	2	2	no	—
1231	C₂×Dic₃	—	2	2	no	—
1232	C₂×Dic₃	—	4	1	no	—
1233	C₂×Dic₃	—	4	1	no	—
1234	C₂×Dic₃	—	4	1	no	—
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	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1240	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1241	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1242	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1243	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1244	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1245	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1246	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1247	D₁₂	—	2	2	no	—
1248	D₁₂	—	4	1	no	—
1249	D₁₂	—	4	1	no	—
1250	D₁₂	—	4	1	no	—
1251	C₄×D₃	—	2	2	no	—
1252	C₄×D₃	—	2	2	no	—
1253	C₄×D₃	—	2	1	no	—
1254	C₄×D₃	—	2	1	no	—
1255	C₄×D₃	—	2	1	no	—
1256	C₄×D₃	—	2	1	no	—
1257	C₄×D₃	—	2	1	no	—
1258	C₄×D₃	—	2	1	no	—
1259	C₄×D₃	—	2	2	no	—
1260	C₄×D₃	—	2	2	no	—
1261	C₄×D₃	—	4	1	no	—
1262	C₄×D₃	—	4	1	no	—
1263	C₄×D₃	—	4	1	no	—
1264	C₄×D₃	—	4	1	no	—
1265	C₄×D₃	H(5,𝔽₂)	1	2	yes	—
1266	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1267	Dic₆	—	2	2	no	—
1268	Dic₆	—	4	1	no	—
1269	Dic₆	—	4	1	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	C₂⁴	—	3	1	no	—
1288	C₂⁴	—	3	1	no	—
1289	#41	—	4	2	no	—
1290	#41	—	6	2	no	—
1291	#41	—	6	2	no	—
1292	#41	—	12	2	no	—
1293	C₂×Q₈	—	3	1	no	—
1294	C₂×Q₈	—	3	1	no	—
1295	C₂×Q₈	—	3	1	no	—
1296	C₂×Q₈	—	3	1	no	—
1297	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1298	C₂×D₄	—	3	1	no	—
1299	C₂×D₄	—	3	1	no	—
1300	C₂×D₄	—	3	1	no	—
1301	C₂×D₄	—	3	1	no	—
1302	C₂×D₄	—	3	1	no	—
1303	C₂×D₄	—	3	1	no	—
1304	C₂×D₄	—	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	—	12	2	no	—
1311	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1312	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1313	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1323	C₂²×C₄	—	3	1	no	—
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	—	6	2	no	—
1333	C₂²×C₄	—	6	2	no	—
1334	C₂²×C₄	—	6	2	no	—
1335	C₂²×C₄	—	6	2	no	—
1336	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1337	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1338	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1339	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1340	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1341	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1342	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1343	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1344	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1345	M₁₆	—	4	1	no	—
1346	M₁₆	—	4	1	no	—
1347	M₁₆	—	4	1	no	—
1348	M₁₆	—	4	1	no	—
1349	M₁₆	—	6	2	no	—
1350	M₁₆	—	6	2	no	—
1351	M₁₆	—	6	2	no	—
1352	M₁₆	—	6	2	no	—
1353	M₁₆	—	12	1	no	—
1354	M₁₆	—	12	1	no	—
1355	M₁₆	—	12	1	no	—
1356	M₁₆	—	12	1	no	—
1357	M₁₆	—	12	1	no	—
1358	M₁₆	—	12	1	no	—
1359	M₁₆	—	12	1	no	—
1360	M₁₆	—	12	1	no	—
1361	C₂×C₈	—	3	1	no	—
1362	C₂×C₈	—	3	1	no	—
1363	C₂×C₈	—	3	1	no	—
1364	C₂×C₈	—	3	1	no	—
1365	C₂×C₈	—	3	1	no	—
1366	C₂×C₈	—	3	1	no	—
1367	C₂×C₈	—	3	1	no	—
1368	C₂×C₈	—	3	1	no	—
1369	C₂×C₈	—	4	1	no	—
1370	C₂×C₈	—	4	1	no	—
1371	C₂×C₈	—	6	2	no	—
1372	C₂×C₈	—	6	2	no	—
1373	C₂×C₈	—	6	2	no	—
1374	C₂×C₈	—	6	2	no	—
1375	C₂×C₈	—	12	1	no	—
1376	C₂×C₈	—	12	1	no	—
1377	C₂×C₈	—	12	1	no	—
1378	C₂×C₈	—	12	1	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	C₂³×D₃	1	1	yes	characteristic
1386	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1387	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1388	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1389	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	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	—	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	—	3	1	no	—
1426	C₄⋊C₄	—	3	1	no	—
1427	C₄⋊C₄	—	3	1	no	—
1428	C₄⋊C₄	—	3	1	no	—
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	—	3	1	no	—
1464	C₂²⋊C₄	—	3	1	no	—
1465	C₂²⋊C₄	—	3	1	no	—
1466	C₂²⋊C₄	—	3	1	no	—
1467	C₂²⋊C₄	—	3	1	no	—
1468	C₂²⋊C₄	—	3	1	no	—
1469	C₂²⋊C₄	—	3	1	no	—
1470	C₂²⋊C₄	—	3	1	no	—
1471	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
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	C₂×C₄×D₃	1	1	yes	characteristic
1490	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1491	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1492	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
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	#568	1	2	yes	—
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	—	4	4	no	—
1521	C₂×D₃	—	8	2	no	—
1522	C₂×D₃	#520	1	2	yes	—
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	—	2	1	no	—
1533	C₃×C₄	—	2	1	no	—
1534	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1535	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
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	—	2	1	no	—
1545	Dic₃	—	2	1	no	—
1546	Dic₃	—	2	1	no	—
1547	Dic₃	#520	1	2	yes	—
1548	C₂³	—	3	1	no	—
1549	C₂³	—	3	1	no	—
1550	C₂³	—	3	1	no	—
1551	C₂³	—	3	1	no	—
1552	C₂³	—	6	2	no	—
1553	C₂³	—	6	2	no	—
1554	C₂³	—	6	2	no	—
1555	C₂³	—	12	1	no	—
1556	C₂³	—	12	1	no	—
1557	C₂³	—	12	1	no	—
1558	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1559	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1560	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1561	Q₈	—	4	1	no	—
1562	Q₈	—	6	2	no	—
1563	Q₈	—	12	1	no	—
1564	Q₈	—	12	1	no	—
1565	Q₈	—	12	1	no	—
1566	D₄	—	2	2	no	—
1567	D₄	—	2	2	no	—
1568	D₄	—	4	1	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	2	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	—	2	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	—	3	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	1	no	—
1605	C₂×C₄	—	4	1	no	—
1606	C₂×C₄	—	4	1	no	—
1607	C₂×C₄	—	6	2	no	—
1608	C₂×C₄	—	6	2	no	—
1609	C₂×C₄	—	6	2	no	—
1610	C₂×C₄	—	6	2	no	—
1611	C₂×C₄	—	6	2	no	—
1612	C₂×C₄	—	6	2	no	—
1613	C₂×C₄	—	6	2	no	—
1614	C₂×C₄	—	6	1	no	—
1615	C₂×C₄	—	6	1	no	—
1616	C₂×C₄	—	6	1	no	—
1617	C₂×C₄	—	6	1	no	—
1618	C₂×C₄	—	6	1	no	—
1619	C₂×C₄	—	6	1	no	—
1620	C₂×C₄	—	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	—	12	1	no	—
1626	C₂×C₄	—	12	1	no	—
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	C₂²×C₄×D₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1638	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
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	—	2	1	no	—
1646	C₈	—	2	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	C₈	—	6	1	no	—
1654	C₈	—	6	1	no	—
1655	C₂×C₃	—	2	2	no	—
1656	C₂×C₃	—	4	1	no	—
1657	C₂×C₃	—	4	1	no	—
1658	C₂×C₃	C₂×#520	1	1	yes	characteristic
1659	C₂×C₃	C₂×#568	1	1	yes	characteristic
1660	C₂×C₃	#3573	1	1	yes	characteristic
1661	D₃	—	2	2	no	—
1662	D₃	—	4	1	no	—
1663	D₃	—	4	1	no	—
1664	D₃	—	4	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	—	2	1	no	—
1673	C₂²	—	3	2	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	—	6	1	no	—
1685	C₂²	—	12	4	no	—
1686	C₂²	—	24	2	no	—
1687	C₂²	#5745	1	2	yes	—
1688	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
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	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	3	2	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	—	6	1	no	—
1709	C₄	—	6	1	no	—
1710	C₄	—	6	1	no	—
1711	C₄	—	6	1	no	—
1712	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1713	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1714	C₃	#60272	1	1	yes	characteristic, complemented, Sylow
1715	C₂	—	2	2	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	6	2	no	—
1719	C₂	—	12	1	no	—
1720	C₂	—	12	1	no	—
1721	C₂	—	12	1	no	—
1722	C₂	D₃×#520	1	1	yes	characteristic
1723	C₂	C₂×#5745	1	1	yes	characteristic
1724	C₂	#87166	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2989	C₂
prime radical	#85841	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2989	D₃
hypocenter	C₃	#60272
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2989

Complements

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

N	H ≅ G/N	type
2. C₃×#2989	C₂	semidirect
3. #82522	C₂	semidirect
4. #79961	C₂	semidirect
5. #79959	C₂	semidirect
6. #79949	C₂	semidirect
7. #79946	C₂	semidirect
8. #79539	C₂	semidirect
9. #79537	C₂	semidirect
10. #79528	C₂	semidirect
11. #79525	C₂	semidirect
12. #79483	C₂	semidirect
13. #79481	C₂	semidirect
14. #79478	C₂	semidirect
15. D₃×#435	C₂	semidirect
16. #79466	C₂	semidirect
17. #79463	C₂	semidirect
18. #79462	C₂	semidirect
19. #79461	C₂	semidirect
20. #79342	C₂	semidirect
21. #79341	C₂	semidirect
22. #79333	C₂	semidirect
23. #79332	C₂	semidirect
24. #79296	C₂	semidirect
25. #79284	C₂	semidirect
26. #79054	C₂	semidirect
27. #79053	C₂	semidirect
28. #79049	C₂	semidirect
29. #79048	C₂	semidirect
30. #79016	C₂	semidirect
31. C₂×#4839	C₂	semidirect
70. C₃×#446	C₂²	semidirect
71. C₃×#446	C₂²	semidirect
72. C₃×#436	C₂²	semidirect
73. C₃×#436	C₂²	semidirect
76. C₃×#435	C₂²	semidirect
77. C₃×#435	C₂²	semidirect
78. C₃×#432	C₂²	semidirect
79. C₃×#432	C₂²	semidirect
80. C₃×#431	C₂²	semidirect
81. C₃×#423	C₂²	semidirect
82. C₃×#423	C₂²	semidirect
83. C₂×C₃×C₄⋊C₈	C₂²	semidirect
85. #5128	C₂²	semidirect
86. #5128	C₂²	semidirect
87. #5128	C₂²	semidirect
89. #5127	C₂²	semidirect
90. #5127	C₂²	semidirect
91. #5127	C₂²	semidirect
92. #5119	C₂²	semidirect
93. #5119	C₂²	semidirect
94. #5118	C₂²	semidirect
95. #5118	C₂²	semidirect
97. #5111	C₂²	semidirect
99. C₈×#67	C₂²	semidirect
100. C₂×Dic₃⋊C₈	C₂²	semidirect
101. C₂×Dic₃⋊C₈	C₂²	semidirect
102. #5024	C₂²	semidirect
103. #5024	C₂²	semidirect
106. #5011	C₂²	semidirect
107. #5011	C₂²	semidirect
108. D₄×C₃⋊C₈	C₂²	semidirect
109. D₄×C₃⋊C₈	C₂²	semidirect
110. #4926	C₂²	semidirect
111. #4926	C₂²	semidirect
112. #4925	C₂²	semidirect
113. #4924	C₂²	semidirect
114. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
115. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
116. #4840	C₂²	semidirect
117. #4840	C₂²	semidirect
118. #4840	C₂²	semidirect
119. #4840	C₂²	semidirect
120. #4840	C₂²	semidirect
121. #4840	C₂²	semidirect
130. #4839	C₂²	semidirect
131. #4839	C₂²	semidirect
132. #4839	C₂²	semidirect
133. #4839	C₂²	semidirect
134. #4839	C₂²	semidirect
135. #4839	C₂²	semidirect
136. #4839	C₂²	semidirect
137. #4839	C₂²	semidirect
138. #4839	C₂²	semidirect
139. #4839	C₂²	semidirect
140. #4838	C₂²	semidirect
142. #4837	C₂²	semidirect
145. #4836	C₂²	semidirect
146. #4836	C₂²	semidirect
147. #4834	C₂²	semidirect
149. D₃×C₄⋊C₈	C₂²	semidirect
150. #4831	C₂²	semidirect
151. #4830	C₂²	semidirect
152. #4828	C₂²	semidirect
153. #4828	C₂²	semidirect
154. #4828	C₂²	semidirect
155. #4828	C₂²	semidirect
157. #4730	C₂²	semidirect
158. #4730	C₂²	semidirect
159. #4730	C₂²	semidirect
161. #4729	C₂²	semidirect
163. #4728	C₂²	semidirect
169. #67⋊C₈	C₂²	semidirect
170. #67⋊C₈	C₂²	semidirect
171. #67⋊C₈	C₂²	semidirect
174. #4720	C₂²	semidirect
175. #4720	C₂²	semidirect
176. #4719	C₂²	semidirect
177. #4719	C₂²	semidirect
178. #4718	C₂²	semidirect
179. #4718	C₂²	semidirect
180. #4709	C₂²	semidirect
181. #4709	C₂²	semidirect
187. #4706	C₂²	semidirect
188. #4706	C₂²	semidirect
189. #4705	C₂²	semidirect
190. #4705	C₂²	semidirect
192. #4701	C₂²	semidirect
193. #4701	C₂²	semidirect
194. #4701	C₂²	semidirect
195. #4701	C₂²	semidirect
196. #4690	C₂²	semidirect
197. #4690	C₂²	semidirect
200. #4688	C₂²	semidirect
201. C₈×D₁₂	C₂²	semidirect
202. #4679	C₂²	semidirect
203. C₈×Dic₆	C₂²	semidirect
220. #2989	D₃	semidirect
565. #446	C₂×D₃	semidirect
566. #446	C₂×D₃	semidirect
577. #436	C₂×D₃	semidirect
578. #436	C₂×D₃	semidirect
605. #435	C₂×D₃	semidirect
606. #435	C₂×D₃	semidirect
635. #432	C₂×D₃	semidirect
636. #432	C₂×D₃	semidirect
640. #431	C₂×D₃	semidirect
666. #423	C₂×D₃	semidirect
667. #423	C₂×D₃	semidirect
674. C₂×C₄⋊C₈	C₂×D₃	semidirect
1714. C₃	#60272	semidirect

Maximal subgroups

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

subgroup	index
#85841	2
C₃×#2989	2
#82522	2
#79961	2
#79959	2
#79949	2
#79946	2
#79539	2
#79537	2
#79528	2
#79525	2
#79483	2
#79481	2
#79478	2
D₃×#435	2
#79466	2
#79463	2
#79462	2
#79461	2
#79342	2
#79341	2
#79333	2
#79332	2
#79296	2
#79284	2
#79054	2
#79053	2
#79049	2
#79048	2
#79016	2
C₂×#4839	2
#60272	3