Subgroups — #11660974

Order 768.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#85785	C₂	1	1	yes	maximal, characteristic
2	C₃×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#5127	C₂	1	1	yes	maximal, characteristic, complemented
4	M₁₆×#67	C₂	1	1	yes	maximal, characteristic, complemented
5	#83757	C₂	1	1	yes	maximal, characteristic, complemented
6	#83756	C₂	1	1	yes	maximal, characteristic, complemented
7	#82302	C₂	1	1	yes	maximal, characteristic, complemented
8	#79544	C₂	1	1	yes	maximal, characteristic, complemented
9	#79539	C₂	1	1	yes	maximal, characteristic, complemented
10	#79528	C₂	1	1	yes	maximal, characteristic, complemented
11	#79519	C₂	1	1	yes	maximal, characteristic, complemented
12	#79491	C₂	1	1	yes	maximal, characteristic, complemented
13	#79486	C₂	1	1	yes	maximal, characteristic, complemented
14	#79480	C₂	1	1	yes	maximal, characteristic, complemented
15	D₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
16	#79464	C₂	1	1	yes	maximal, characteristic, complemented
17	#79461	C₂	1	1	yes	maximal, characteristic, complemented
18	#79460	C₂	1	1	yes	maximal, characteristic, complemented
19	#79458	C₂	1	1	yes	maximal, characteristic, complemented
20	#79429	C₂	1	1	yes	maximal, characteristic, complemented
21	#79421	C₂	1	1	yes	maximal, characteristic, complemented
22	#79407	C₂	1	1	yes	maximal, characteristic, complemented
23	#79402	C₂	1	1	yes	maximal, characteristic, complemented
24	#79054	C₂	1	1	yes	maximal, characteristic, complemented
25	#79050	C₂	1	1	yes	maximal, characteristic, complemented
26	#78636	C₂	1	1	yes	maximal, characteristic, complemented
27	#78635	C₂	1	1	yes	maximal, characteristic, complemented
28	#78633	C₂	1	1	yes	maximal, characteristic, complemented
29	#78632	C₂	1	1	yes	maximal, characteristic, complemented
30	#78524	C₂	1	1	yes	maximal, characteristic, complemented
31	#78510	C₂	1	1	yes	maximal, characteristic, complemented
32	#60314	—	3	1	no	maximal, Sylow
33	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
36	#5806	C₄	1	1	yes	characteristic
37	D₄×#67	C₄	1	1	yes	characteristic
38	#5791	C₂²	1	1	yes	characteristic
39	#5791	C₂²	1	1	yes	characteristic
40	C₂×C₄×#67	C₂²	1	1	yes	characteristic
41	C₂×C₄×#67	C₂²	1	1	yes	characteristic
42	C₂×#907	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×#901	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₃×C₈	C₂²	1	1	yes	characteristic, complemented
46	#5559	C₄	1	1	yes	characteristic
47	#5558	C₄	1	1	yes	characteristic
48	#5557	C₂²	1	1	yes	characteristic
49	#5556	C₄	1	1	yes	characteristic
50	#5556	C₄	1	1	yes	characteristic
51	#5554	C₄	1	1	yes	characteristic
52	#5548	C₂²	1	1	yes	characteristic
53	#5547	C₂²	1	1	yes	characteristic
54	#5547	C₂²	1	1	yes	characteristic
55	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
56	#5540	C₄	1	1	yes	characteristic
57	#5540	C₄	1	1	yes	characteristic
58	#5539	C₄	1	1	yes	characteristic
59	#5538	C₂²	1	1	yes	characteristic
60	#5538	C₂²	1	1	yes	characteristic
61	C₄×#237	C₂²	1	1	yes	characteristic
62	#5514	C₄	1	1	yes	characteristic
63	#5511	C₄	1	1	yes	characteristic
64	#5495	C₄	1	1	yes	characteristic
65	#5495	C₄	1	1	yes	characteristic
66	#5490	C₄	1	1	yes	characteristic
67	#5490	C₄	1	1	yes	characteristic
68	#5479	C₂²	1	1	yes	characteristic
69	C₄×#235	C₂²	1	1	yes	characteristic
70	C₃×#436	C₂²	1	1	yes	characteristic, complemented
71	C₃×#436	C₂²	1	1	yes	characteristic, complemented
72	C₃×#435	C₂²	1	1	yes	characteristic
73	C₃×#435	C₂²	1	1	yes	characteristic
74	C₃×#435	C₂²	1	1	yes	characteristic, complemented
75	C₃×#435	C₂²	1	1	yes	characteristic, complemented
76	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
78	C₃×#423	C₂²	1	1	yes	characteristic, complemented
79	C₃×#407	C₂²	1	1	yes	characteristic, complemented
80	C₃×#407	C₂²	1	1	yes	characteristic, complemented
81	C₃×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
82	#5207	C₂²	1	1	yes	characteristic, complemented
83	#5207	C₂²	1	1	yes	characteristic, complemented
84	C₂×#830	C₂²	1	1	yes	characteristic, complemented
85	C₂×#830	C₂²	1	1	yes	characteristic, complemented
86	#5129	C₂²	1	1	yes	characteristic, complemented
87	#5128	C₂²	1	1	yes	characteristic, complemented
88	#5128	C₂²	1	1	yes	characteristic, complemented
89	#5128	C₂²	1	1	yes	characteristic, complemented
90	#5128	C₂²	1	1	yes	characteristic, complemented
91	#5128	C₂²	1	1	yes	characteristic, complemented
92	#5128	C₂²	1	1	yes	characteristic, complemented
93	#5128	C₂²	1	1	yes	characteristic, complemented
94	#5128	C₂²	1	1	yes	characteristic, complemented
95	#5127	C₂²	1	1	yes	characteristic
96	#5127	C₂²	1	1	yes	characteristic
97	#5127	C₂²	1	1	yes	characteristic
98	#5127	C₂²	1	1	yes	characteristic
99	#5127	C₂²	1	1	yes	characteristic, complemented
100	#5127	C₂²	1	1	yes	characteristic, complemented
101	#5127	C₂²	1	1	yes	characteristic, complemented
102	#5127	C₂²	1	1	yes	characteristic, complemented
103	#5127	C₂²	1	1	yes	characteristic, complemented
104	#5127	C₂²	1	1	yes	characteristic, complemented
105	#5127	C₂²	1	1	yes	characteristic, complemented
106	#5127	C₂²	1	1	yes	characteristic, complemented
107	#5127	C₂²	1	1	yes	characteristic, complemented
108	#5127	C₂²	1	1	yes	characteristic, complemented
109	#5127	C₂²	1	1	yes	characteristic, complemented
110	#5127	C₂²	1	1	yes	characteristic, complemented
111	#5126	C₂²	1	1	yes	characteristic, complemented
112	#5122	C₂²	1	1	yes	characteristic, complemented
113	#5119	C₂²	1	1	yes	characteristic, complemented
114	#5118	C₂²	1	1	yes	characteristic, complemented
115	Dic₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
116	#5111	C₂²	1	1	yes	characteristic, complemented
117	#5111	C₂²	1	1	yes	characteristic, complemented
118	#5111	C₂²	1	1	yes	characteristic, complemented
119	#5111	C₂²	1	1	yes	characteristic, complemented
120	#5110	C₂²	1	1	yes	characteristic, complemented
121	C₈×#67	C₂²	1	1	yes	characteristic, complemented
122	C₈×#67	C₂²	1	1	yes	characteristic, complemented
123	C₈×#67	C₂²	1	1	yes	characteristic, complemented
124	C₈×#67	C₂²	1	1	yes	characteristic, complemented
125	C₂×(C₂×D₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
126	#5102	C₂²	1	1	yes	characteristic, complemented
127	#5101	C₂²	1	1	yes	characteristic, complemented
128	C₂×#815	C₂²	1	1	yes	characteristic, complemented
129	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
130	#5011	C₂²	1	1	yes	characteristic
131	#5011	C₂²	1	1	yes	characteristic
132	#5011	C₂²	1	1	yes	characteristic, complemented
133	#5011	C₂²	1	1	yes	characteristic, complemented
134	#5011	C₂²	1	1	yes	characteristic, complemented
135	#5011	C₂²	1	1	yes	characteristic, complemented
136	#5011	C₂²	1	1	yes	characteristic, complemented
137	#5011	C₂²	1	1	yes	characteristic, complemented
138	#4926	C₂²	1	1	yes	characteristic, complemented
139	#4926	C₂²	1	1	yes	characteristic, complemented
140	#4840	C₂²	1	1	yes	characteristic, complemented
141	#4840	C₂²	1	1	yes	characteristic, complemented
142	#4839	C₂²	1	1	yes	characteristic, complemented
143	#4839	C₂²	1	1	yes	characteristic, complemented
144	#4837	C₂²	1	1	yes	characteristic, complemented
145	#4836	C₂²	1	1	yes	characteristic, complemented
146	#4836	C₂²	1	1	yes	characteristic, complemented
147	#4836	C₂²	1	1	yes	characteristic, complemented
148	#4836	C₂²	1	1	yes	characteristic, complemented
149	#4835	C₂²	1	1	yes	characteristic, complemented
150	#4833	C₂²	1	1	yes	characteristic, complemented
151	D₃×C₄⋊C₈	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, complemented
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, complemented
161	#4729	C₂²	1	1	yes	characteristic, complemented
162	#4728	C₂²	1	1	yes	characteristic, complemented
163	#4728	C₂²	1	1	yes	characteristic, complemented
164	#4728	C₂²	1	1	yes	characteristic, complemented
165	#4728	C₂²	1	1	yes	characteristic, complemented
166	#4728	C₂²	1	1	yes	characteristic, complemented
167	#4728	C₂²	1	1	yes	characteristic, complemented
168	#4727	C₂²	1	1	yes	characteristic, complemented
169	#4727	C₂²	1	1	yes	characteristic, complemented
170	#4727	C₂²	1	1	yes	characteristic, complemented
171	#4727	C₂²	1	1	yes	characteristic, complemented
172	#4726	C₂²	1	1	yes	characteristic, complemented
173	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
174	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
175	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
176	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	#4720	C₂²	1	1	yes	characteristic, complemented
181	#4720	C₂²	1	1	yes	characteristic, complemented
182	#4720	C₂²	1	1	yes	characteristic, complemented
183	#4720	C₂²	1	1	yes	characteristic, complemented
184	#4719	C₂²	1	1	yes	characteristic, complemented
185	#4719	C₂²	1	1	yes	characteristic, complemented
186	#4719	C₂²	1	1	yes	characteristic, complemented
187	#4718	C₂²	1	1	yes	characteristic, complemented
188	#4706	C₂²	1	1	yes	characteristic, complemented
189	#4706	C₂²	1	1	yes	characteristic, complemented
190	#4705	C₂²	1	1	yes	characteristic, complemented
191	#4705	C₂²	1	1	yes	characteristic, complemented
192	D₃×#97	C₂²	1	1	yes	characteristic, complemented
193	D₃×#97	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, complemented
199	#4689	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
202	#4679	C₂²	1	1	yes	characteristic, complemented
203	#4679	C₂²	1	1	yes	characteristic, complemented
204	#3481	—	3	1	no	—
205	#2995	—	3	1	no	—
206	#2995	—	3	1	no	—
207	#2992	—	3	1	no	—
208	#2992	—	3	1	no	—
209	#2989	—	3	1	no	—
210	#2989	—	3	1	no	—
211	#2980	—	3	1	no	—
212	#2978	—	3	1	no	—
213	#2977	—	3	1	no	—
214	#2976	—	3	1	no	—
215	#2976	—	3	1	no	—
216	#2974	—	3	1	no	—
217	#2974	—	3	1	no	—
218	#2973	—	3	1	no	—
219	#2973	—	3	1	no	—
220	#2970	—	3	1	no	—
221	#2970	—	3	1	no	—
222	#2968	—	3	1	no	—
223	#2968	—	3	1	no	—
224	#2967	—	3	1	no	—
225	#2967	—	3	1	no	—
226	D₄×M₁₆	—	3	1	no	—
227	D₄×M₁₆	D₃	1	1	yes	characteristic, complemented
228	#2933	—	3	1	no	—
229	#2933	—	3	1	no	—
230	#2932	—	3	1	no	—
231	#2930	—	3	1	no	—
232	#2929	—	3	1	no	—
233	C₂×#435	—	3	1	no	—
234	C₂×#435	—	3	1	no	—
235	C₂²×C₃×D₄	C₂×C₄	1	1	yes	characteristic
236	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
238	C₂²×#67	C₂×C₄	1	1	yes	characteristic
239	C₂²×#67	C₂×C₄	1	1	yes	characteristic
240	C₂×#237	C₂×C₄	1	1	yes	characteristic
241	C₂×D₃×D₄	C₂×C₄	1	1	yes	characteristic
242	C₂×#235	C₂×C₄	1	1	yes	characteristic
243	C₂×#235	C₂³	1	1	yes	characteristic
244	C₂×#235	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
246	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
247	C₂×C₃×M₁₆	—	4	2	no	—
248	C₂×C₃×M₁₆	—	4	2	no	—
249	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
254	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
255	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
256	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
257	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
258	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
259	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
260	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
261	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
262	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
263	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
264	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
265	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
266	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
270	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
272	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
273	#953	C₂×C₄	1	1	yes	characteristic
274	#953	C₂×C₄	1	1	yes	characteristic
275	#953	C₂×C₄	1	1	yes	characteristic
276	#953	C₂×C₄	1	1	yes	characteristic
277	C₂×#217	C₂×C₄	1	1	yes	characteristic
278	C₂×#217	C₂×C₄	1	1	yes	characteristic
279	#940	C₂×C₄	1	1	yes	characteristic
280	#939	C₂×C₄	1	1	yes	characteristic
281	#939	C₂×C₄	1	1	yes	characteristic
282	#939	C₂×C₄	1	1	yes	characteristic
283	#939	C₂×C₄	1	1	yes	characteristic
284	#938	C₂×C₄	1	1	yes	characteristic
285	#938	C₂×C₄	1	1	yes	characteristic
286	#937	C₂×C₄	1	1	yes	characteristic
287	#937	C₂×C₄	1	1	yes	characteristic
288	#936	C₂×C₄	1	1	yes	characteristic
289	#935	C₂×C₄	1	1	yes	characteristic
290	#935	C₂×C₄	1	1	yes	characteristic
291	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
292	D₄×Dic₃	C₂×C₄	1	1	yes	characteristic
293	#930	C₂×C₄	1	1	yes	characteristic
294	#930	C₂×C₄	1	1	yes	characteristic
295	#930	C₂×C₄	1	1	yes	characteristic
296	#930	C₂×C₄	1	1	yes	characteristic
297	#930	C₂×C₄	1	1	yes	characteristic
298	#929	C₂×C₄	1	1	yes	characteristic
299	#929	C₂×C₄	1	1	yes	characteristic
300	#929	C₂×C₄	1	1	yes	characteristic
301	#929	C₂×C₄	1	1	yes	characteristic
302	#929	C₂×C₄	1	1	yes	characteristic
303	#929	C₂×C₄	1	1	yes	characteristic
304	C₄×#67	C₂×C₄	1	1	yes	characteristic
305	C₄×#67	C₂×C₄	1	1	yes	characteristic
306	C₄×#67	C₂×C₄	1	1	yes	characteristic
307	C₄×#67	C₂×C₄	1	1	yes	characteristic
308	C₄×#67	C₂×C₄	1	1	yes	characteristic
309	C₄×#67	C₂×C₄	1	1	yes	characteristic
310	C₄×#67	C₂×C₄	1	1	yes	characteristic
311	C₄×#67	C₂×C₄	1	1	yes	characteristic
312	C₄×#67	C₂×C₄	1	1	yes	characteristic
313	C₄×#67	C₂×C₄	1	1	yes	characteristic
314	C₄×#67	C₂³	1	1	yes	characteristic
315	C₄×#67	C₂³	1	1	yes	characteristic
316	C₄×#67	C₂³	1	1	yes	characteristic
317	C₄×#67	C₂³	1	1	yes	characteristic
318	C₄×#67	C₂³	1	1	yes	characteristic
319	C₄×#67	C₂³	1	1	yes	characteristic
320	C₄×#67	C₂³	1	1	yes	characteristic
321	C₄×#67	C₂³	1	1	yes	characteristic
322	C₄×#67	C₂³	1	1	yes	characteristic
323	C₄×#67	C₂³	1	1	yes	characteristic
324	C₄×#67	C₂³	1	1	yes	characteristic
325	C₄×#67	C₂³	1	1	yes	characteristic
326	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
327	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
328	#926	C₂×C₄	1	1	yes	characteristic
329	#926	C₂³	1	1	yes	characteristic
330	#926	C₂³	1	1	yes	characteristic
331	#924	C₂×C₄	1	1	yes	characteristic
332	#924	C₂×C₄	1	1	yes	characteristic
333	#924	C₂×C₄	1	1	yes	characteristic
334	#924	C₂×C₄	1	1	yes	characteristic
335	#924	C₂×C₄	1	1	yes	characteristic
336	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
337	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
338	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
339	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
340	C₂×#208	C₂³	1	1	yes	characteristic
341	C₂×#208	C₂³	1	1	yes	characteristic
342	C₂×#208	C₂³	1	1	yes	characteristic
343	C₂×#208	C₂³	1	1	yes	characteristic
344	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
345	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
346	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
347	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
348	#907	—	4	2	no	—
349	D₃×M₁₆	—	4	2	no	—
350	#901	—	4	2	no	—
351	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
352	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
353	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
354	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
355	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
356	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
357	C₂×D₃×C₈	—	4	2	no	—
358	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
359	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
360	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
361	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
362	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
363	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
364	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
365	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
366	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
367	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
368	#898	C₂×C₄	1	1	yes	characteristic
369	#898	C₂×C₄	1	1	yes	characteristic
370	#897	C₂×C₄	1	1	yes	characteristic
371	#896	C₂×C₄	1	1	yes	characteristic
372	#896	C₂×C₄	1	1	yes	characteristic
373	#895	C₂×C₄	1	1	yes	characteristic
374	#894	C₂×C₄	1	1	yes	characteristic
375	#894	C₂×C₄	1	1	yes	characteristic
376	#893	C₂×C₄	1	1	yes	characteristic
377	#892	C₂×C₄	1	1	yes	characteristic
378	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
379	#890	C₂×C₄	1	1	yes	characteristic
380	#889	C₂×C₄	1	1	yes	characteristic
381	#889	C₂×C₄	1	1	yes	characteristic
382	#888	C₂×C₄	1	1	yes	characteristic
383	#887	C₂×C₄	1	1	yes	characteristic
384	#886	C₂×C₄	1	1	yes	characteristic
385	#886	C₂×C₄	1	1	yes	characteristic
386	#885	C₂×C₄	1	1	yes	characteristic
387	#885	C₂×C₄	1	1	yes	characteristic
388	#885	C₂×C₄	1	1	yes	characteristic
389	#885	C₂×C₄	1	1	yes	characteristic
390	#884	C₂×C₄	1	1	yes	characteristic
391	#884	C₂×C₄	1	1	yes	characteristic
392	#884	C₂×C₄	1	1	yes	characteristic
393	#884	C₂×C₄	1	1	yes	characteristic
394	#883	C₂×C₄	1	1	yes	characteristic
395	#883	C₂×C₄	1	1	yes	characteristic
396	#883	C₂×C₄	1	1	yes	characteristic
397	#883	C₂×C₄	1	1	yes	characteristic
398	#882	C₂×C₄	1	1	yes	characteristic
399	#882	C₂×C₄	1	1	yes	characteristic
400	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
401	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
402	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
403	#67⋊C₄	C₂×C₄	1	1	yes	characteristic
404	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
405	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
406	#879	C₂×C₄	1	1	yes	characteristic
407	#879	C₂×C₄	1	1	yes	characteristic
408	#879	C₂×C₄	1	1	yes	characteristic
409	#879	C₂×C₄	1	1	yes	characteristic
410	#878	C₂×C₄	1	1	yes	characteristic
411	#878	C₂×C₄	1	1	yes	characteristic
412	#878	C₂×C₄	1	1	yes	characteristic
413	#878	C₂×C₄	1	1	yes	characteristic
414	#877	C₂×C₄	1	1	yes	characteristic
415	#877	C₂×C₄	1	1	yes	characteristic
416	#876	C₂×C₄	1	1	yes	characteristic
417	#876	C₂×C₄	1	1	yes	characteristic
418	#875	C₂×C₄	1	1	yes	characteristic
419	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
420	C₄×D₁₂	C₂³	1	1	yes	characteristic
421	C₄×D₁₂	C₂³	1	1	yes	characteristic
422	#872	C₂×C₄	1	1	yes	characteristic
423	#872	C₂×C₄	1	1	yes	characteristic
424	#872	C₂³	1	1	yes	characteristic
425	#872	C₂³	1	1	yes	characteristic
426	C₄²×D₃	C₂³	1	1	yes	characteristic
427	C₄²×D₃	C₂³	1	1	yes	characteristic
428	#870	C₂×C₄	1	1	yes	characteristic
429	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
430	C₄×Dic₆	C₂³	1	1	yes	characteristic
431	C₄×Dic₆	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
437	C₃×C₂²⋊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×C₄×C₈	C₂³	1	1	yes	characteristic
447	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
448	#830	C₂³	1	1	yes	characteristic
449	#830	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	#830	C₂³	1	1	yes	characteristic
457	#830	C₂³	1	1	yes	characteristic
458	#830	C₂³	1	1	yes	characteristic
459	#830	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	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
469	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
470	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
471	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
472	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
473	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
474	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
475	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
476	#815	C₂³	1	1	yes	characteristic
477	#815	C₂³	1	1	yes	characteristic
478	#815	C₂³	1	1	yes	characteristic
479	#815	C₂³	1	1	yes	characteristic
480	#815	C₂³	1	1	yes	characteristic
481	#815	C₂³	1	1	yes	characteristic
482	#815	C₂³	1	1	yes	characteristic
483	#815	C₂³	1	1	yes	characteristic
484	#815	C₂³	1	1	yes	characteristic
485	#815	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	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
495	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
496	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
497	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
498	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
499	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
500	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
501	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
502	C₈×Dic₃	C₂³	1	1	yes	characteristic
503	C₈×Dic₃	C₂³	1	1	yes	characteristic
504	C₈×Dic₃	C₂³	1	1	yes	characteristic
505	C₈×Dic₃	C₂³	1	1	yes	characteristic
506	C₈×Dic₃	C₂³	1	1	yes	characteristic
507	C₈×Dic₃	C₂³	1	1	yes	characteristic
508	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
509	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
510	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
511	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
512	#803	C₂³	1	1	yes	characteristic
513	#803	C₂³	1	1	yes	characteristic
514	#803	C₂³	1	1	yes	characteristic
515	#803	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	C₂×D₃	1	1	yes	characteristic, complemented
520	C₂²×M₁₆	C₂×D₃	1	1	yes	characteristic, complemented
521	C₂³×C₈	—	3	1	no	—
522	#559	—	3	1	no	—
523	#554	—	3	1	no	—
524	#554	—	3	1	no	—
525	#553	—	3	1	no	—
526	#553	—	3	1	no	—
527	#553	—	3	1	no	—
528	#553	—	3	1	no	—
529	#551	—	3	1	no	—
530	#551	—	3	1	no	—
531	#551	—	3	1	no	—
532	#551	—	3	1	no	—
533	#546	—	3	1	no	—
534	#546	—	3	1	no	—
535	#546	—	3	1	no	—
536	#546	—	3	1	no	—
537	D₄²	—	3	1	no	—
538	#532	—	3	1	no	—
539	#529	—	3	1	no	—
540	#529	—	3	1	no	—
541	#529	—	3	1	no	—
542	#529	—	3	1	no	—
543	#525	—	3	1	no	—
544	#525	—	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	C₂×C₄×D₄	—	3	1	no	—
550	C₂×C₄×D₄	—	3	1	no	—
551	C₂×C₄×D₄	—	3	1	no	—
552	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
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	#436	—	3	1	no	—
562	#436	—	3	1	no	—
563	#436	—	3	1	no	—
564	#436	—	3	1	no	—
565	#436	—	3	1	no	—
566	#436	—	3	1	no	—
567	#436	—	3	1	no	—
568	#436	—	3	1	no	—
569	#436	—	3	1	no	—
570	#436	—	3	1	no	—
571	#436	C₂×D₃	1	1	yes	characteristic, complemented
572	#436	C₂×D₃	1	1	yes	characteristic, complemented
573	#435	—	3	1	no	—
574	#435	—	3	1	no	—
575	#435	—	3	1	no	—
576	#435	—	3	1	no	—
577	#435	—	3	1	no	—
578	#435	—	3	1	no	—
579	#435	—	3	1	no	—
580	#435	—	3	1	no	—
581	#435	—	3	1	no	—
582	#435	—	3	1	no	—
583	#435	—	3	1	no	—
584	#435	—	3	1	no	—
585	#435	—	3	1	no	—
586	#435	—	3	1	no	—
587	#435	—	3	1	no	—
588	#435	—	3	1	no	—
589	#435	—	3	1	no	—
590	#435	—	3	1	no	—
591	#435	—	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	—	3	1	no	—
604	#435	—	3	1	no	—
605	#435	—	3	1	no	—
606	#435	—	3	1	no	—
607	#435	—	3	1	no	—
608	#435	—	3	1	no	—
609	#435	—	3	1	no	—
610	#435	—	3	1	no	—
611	#435	—	3	1	no	—
612	#435	—	3	1	no	—
613	#435	—	3	1	no	—
614	#435	—	3	1	no	—
615	#435	—	3	1	no	—
616	#435	—	3	1	no	—
617	#435	C₂×D₃	1	1	yes	characteristic
618	#435	C₂×D₃	1	1	yes	characteristic
619	#435	C₂×D₃	1	1	yes	characteristic, complemented
620	#435	C₂×D₃	1	1	yes	characteristic, complemented
621	C₈×D₄	—	3	1	no	—
622	C₈×D₄	—	3	1	no	—
623	C₈×D₄	—	3	1	no	—
624	C₈×D₄	—	3	1	no	—
625	C₈×D₄	—	3	1	no	—
626	C₈×D₄	—	3	1	no	—
627	C₈×D₄	—	3	1	no	—
628	C₈×D₄	—	3	1	no	—
629	C₈×D₄	—	3	1	no	—
630	C₈×D₄	—	3	1	no	—
631	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
632	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
633	#433	—	3	1	no	—
634	#433	—	3	1	no	—
635	#433	—	3	1	no	—
636	#433	—	3	1	no	—
637	#433	—	3	1	no	—
638	#433	—	3	1	no	—
639	#433	—	3	1	no	—
640	#433	—	3	1	no	—
641	#432	—	3	1	no	—
642	#432	—	3	1	no	—
643	#432	—	3	1	no	—
644	#432	—	3	1	no	—
645	#432	—	3	1	no	—
646	#432	—	3	1	no	—
647	#432	—	3	1	no	—
648	#432	—	3	1	no	—
649	#431	—	3	1	no	—
650	#431	—	3	1	no	—
651	#424	—	3	1	no	—
652	#424	—	3	1	no	—
653	#424	—	3	1	no	—
654	#424	—	3	1	no	—
655	#423	—	3	1	no	—
656	#423	—	3	1	no	—
657	#423	C₂×D₃	1	1	yes	characteristic, complemented
658	C₂×C₄⋊C₈	—	3	1	no	—
659	C₂×C₄⋊C₈	—	3	1	no	—
660	#408	—	3	1	no	—
661	#408	—	3	1	no	—
662	#408	—	3	1	no	—
663	#408	—	3	1	no	—
664	#408	—	3	1	no	—
665	#408	—	3	1	no	—
666	#407	—	3	1	no	—
667	#407	—	3	1	no	—
668	#407	—	3	1	no	—
669	#407	—	3	1	no	—
670	#407	C₂×D₃	1	1	yes	characteristic, complemented
671	#407	C₂×D₃	1	1	yes	characteristic, complemented
672	C₂×C₂²⋊C₈	—	3	1	no	—
673	C₂×C₂²⋊C₈	—	3	1	no	—
674	C₂×C₂²⋊C₈	—	3	1	no	—
675	C₂×C₂²⋊C₈	—	3	1	no	—
676	C₂×C₂²⋊C₈	—	3	1	no	—
677	C₂×C₂²⋊C₈	—	3	1	no	—
678	#405	—	3	1	no	—
679	#405	—	3	1	no	—
680	#405	—	3	1	no	—
681	#405	—	3	1	no	—
682	C₄×M₁₆	—	3	1	no	—
683	C₄×M₁₆	C₂×D₃	1	1	yes	characteristic, complemented
684	C₂×#97	—	3	1	no	—
685	C₂×#97	—	3	1	no	—
686	C₂×#97	—	3	1	no	—
687	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
688	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
689	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
690	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₃×D₄	—	4	2	no	—
692	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
696	C₂²×C₃×C₄	—	4	1	no	—
697	C₂²×C₃×C₄	—	4	1	no	—
698	C₂²×C₃×C₄	—	4	1	no	—
699	C₂²×C₃×C₄	—	4	1	no	—
700	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
701	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
709	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
710	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
711	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
712	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
713	C₂×#67	—	4	2	no	—
714	C₂×#67	—	4	2	no	—
715	C₂×#67	C₂²×C₄	1	1	yes	characteristic
716	C₂×#67	C₂²×C₄	1	1	yes	characteristic
717	C₂×#67	C₂²×C₄	1	1	yes	characteristic
718	C₂×#67	C₂²×C₄	1	1	yes	characteristic
719	C₂×#67	C₂²×C₄	1	1	yes	characteristic
720	C₂×#67	C₂²×C₄	1	1	yes	characteristic
721	C₂×#67	C₂²×C₄	1	1	yes	characteristic
722	C₂×#67	C₂²×C₄	1	1	yes	characteristic
723	C₂×#67	C₂²×C₄	1	1	yes	characteristic
724	C₂×#67	C₂²×C₄	1	1	yes	characteristic
725	C₂×#67	C₂²×C₄	1	1	yes	characteristic
726	C₂×#67	C₂²×C₄	1	1	yes	characteristic
727	C₂×#67	C₂²×C₄	1	1	yes	characteristic
728	C₂×#67	C₂²×C₄	1	1	yes	characteristic
729	C₂×#67	C₂²×C₄	1	1	yes	characteristic
730	C₂×#67	C₂²×C₄	1	1	yes	characteristic
731	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
732	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
733	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
734	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
735	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
736	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
737	#237	—	4	2	no	—
738	D₃×D₄	—	4	2	no	—
739	#235	—	4	1	no	—
740	#235	—	4	1	no	—
741	#235	—	4	1	no	—
742	#235	—	4	1	no	—
743	#235	—	4	2	no	—
744	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
745	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
746	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
747	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
748	C₂×C₄×D₃	—	4	1	no	—
749	C₂×C₄×D₃	—	4	1	no	—
750	C₂×C₄×D₃	—	4	1	no	—
751	C₂×C₄×D₃	—	4	1	no	—
752	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
753	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
754	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
755	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
756	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
757	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
758	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
759	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
760	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
761	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
762	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
763	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
764	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
765	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
766	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
767	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
768	C₃×M₁₆	—	2	2	no	—
769	C₃×M₁₆	—	2	2	no	—
770	C₃×M₁₆	—	2	2	no	—
771	C₃×M₁₆	—	4	1	no	—
772	C₃×M₁₆	—	4	1	no	—
773	C₃×M₁₆	—	4	1	no	—
774	C₃×M₁₆	—	4	1	no	—
775	C₃×M₁₆	—	4	1	no	—
776	C₂×C₃×C₈	—	2	2	no	—
777	C₂×C₃×C₈	—	2	2	no	—
778	C₂×C₃×C₈	—	4	1	no	—
779	C₂×C₃×C₈	—	4	1	no	—
780	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
781	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
782	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
783	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
784	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
785	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
786	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
787	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
788	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
789	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
793	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
798	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
799	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
800	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
801	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
802	C₃×C₄²	C₂⁴	1	1	yes	characteristic
803	C₃×C₄²	C₂⁴	1	1	yes	characteristic
804	#217	C₂²×C₄	1	1	yes	characteristic
805	#217	C₂²×C₄	1	1	yes	characteristic
806	#217	C₂²×C₄	1	1	yes	characteristic
807	#217	C₂²×C₄	1	1	yes	characteristic
808	#217	C₂²×C₄	1	1	yes	characteristic
809	#217	C₂²×C₄	1	1	yes	characteristic
810	#217	C₂²×C₄	1	1	yes	characteristic
811	#217	C₂²×C₄	1	1	yes	characteristic
812	#217	C₂²×C₄	1	1	yes	characteristic
813	#217	C₂²×C₄	1	1	yes	characteristic
814	#217	C₂²×C₄	1	1	yes	characteristic
815	#217	C₂²×C₄	1	1	yes	characteristic
816	#217	C₂²×C₄	1	1	yes	characteristic
817	#217	C₂²×C₄	1	1	yes	characteristic
818	#217	C₂²×C₄	1	1	yes	characteristic
819	#217	C₂²×C₄	1	1	yes	characteristic
820	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
821	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
822	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
823	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
824	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
825	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
826	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
827	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
828	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
829	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
830	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
831	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
832	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
833	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
834	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
835	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
836	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
837	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
838	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
839	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
840	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
841	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
842	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
843	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
844	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
845	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
846	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
847	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
848	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	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
854	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
855	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
856	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
857	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
858	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
859	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
860	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
861	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
862	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
863	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
864	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
865	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
866	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
867	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
868	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
869	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
870	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
871	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
872	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
873	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
874	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
875	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
876	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
877	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
878	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
879	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
880	#208	—	4	1	no	—
881	#208	—	4	1	no	—
882	#208	—	4	1	no	—
883	#208	—	4	1	no	—
884	C₂×C₃⋊C₈	—	4	1	no	—
885	C₂×C₃⋊C₈	—	4	1	no	—
886	C₂×C₃⋊C₈	—	4	1	no	—
887	C₂×C₃⋊C₈	—	4	1	no	—
888	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
889	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
890	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
891	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
892	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
893	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
894	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
895	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
896	ΓL(1,𝔽₂₅)	—	2	2	no	—
897	ΓL(1,𝔽₂₅)	—	4	1	no	—
898	ΓL(1,𝔽₂₅)	—	4	1	no	—
899	ΓL(1,𝔽₂₅)	—	4	1	no	—
900	ΓL(1,𝔽₂₅)	—	4	1	no	—
901	ΓL(1,𝔽₂₅)	—	4	1	no	—
902	D₃×C₈	—	2	2	no	—
903	D₃×C₈	—	2	2	no	—
904	D₃×C₈	—	2	2	no	—
905	D₃×C₈	—	4	1	no	—
906	D₃×C₈	—	4	1	no	—
907	D₃×C₈	—	4	1	no	—
908	D₃×C₈	—	4	1	no	—
909	D₃×C₈	—	4	1	no	—
910	D₃×C₈	—	4	1	no	—
911	D₃×C₈	—	4	1	no	—
912	C₂×#41	—	3	1	no	—
913	C₂×#41	—	3	1	no	—
914	C₂×#41	—	3	1	no	—
915	C₂×#41	—	3	1	no	—
916	C₂²×D₄	—	3	1	no	—
917	C₂²×D₄	—	3	1	no	—
918	C₂²×D₄	—	3	1	no	—
919	C₂²×D₄	C₄×D₃	1	1	yes	characteristic
920	C₂³×C₄	—	3	1	no	—
921	C₂³×C₄	—	3	1	no	—
922	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
923	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
924	#131	—	12	2	no	—
925	#131	—	12	2	no	—
926	C₂×M₁₆	—	3	1	no	—
927	C₂×M₁₆	—	3	1	no	—
928	C₂×M₁₆	—	3	1	no	—
929	C₂×M₁₆	—	3	1	no	—
930	C₂×M₁₆	—	3	1	no	—
931	C₂×M₁₆	—	3	1	no	—
932	C₂×M₁₆	—	3	1	no	—
933	C₂×M₁₆	—	3	1	no	—
934	C₂×M₁₆	—	3	1	no	—
935	C₂×M₁₆	—	3	1	no	—
936	C₂×M₁₆	—	4	2	no	—
937	C₂×M₁₆	—	4	2	no	—
938	C₂×M₁₆	—	12	2	no	—
939	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
940	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
941	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
942	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
943	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
944	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
945	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
946	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
947	C₂²×C₈	—	3	1	no	—
948	C₂²×C₈	—	3	1	no	—
949	C₂²×C₈	—	3	1	no	—
950	C₂²×C₈	—	3	1	no	—
951	C₂²×C₈	—	3	1	no	—
952	C₂²×C₈	—	3	1	no	—
953	C₂²×C₈	—	3	1	no	—
954	C₂²×C₈	—	3	1	no	—
955	C₂²×C₈	—	3	1	no	—
956	C₂²×C₈	—	3	1	no	—
957	C₂²×C₈	—	3	1	no	—
958	C₂²×C₈	—	3	1	no	—
959	C₂²×C₈	—	3	1	no	—
960	C₂²×C₈	—	3	1	no	—
961	C₂²×C₈	—	12	2	no	—
962	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
963	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
964	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
965	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
966	C₄⋊Q₈	—	3	1	no	—
967	#127	—	3	1	no	—
968	#126	—	3	1	no	—
969	#126	—	3	1	no	—
970	#126	—	3	1	no	—
971	#126	—	3	1	no	—
972	#126	—	3	1	no	—
973	#126	—	3	1	no	—
974	#126	—	3	1	no	—
975	#126	—	3	1	no	—
976	#125	—	3	1	no	—
977	#125	—	3	1	no	—
978	#125	—	3	1	no	—
979	#125	—	3	1	no	—
980	#124	—	3	1	no	—
981	#124	—	3	1	no	—
982	#124	—	3	1	no	—
983	#124	—	3	1	no	—
984	#124	—	3	1	no	—
985	#124	—	3	1	no	—
986	#123	—	3	1	no	—
987	#123	—	3	1	no	—
988	#123	—	3	1	no	—
989	#123	—	3	1	no	—
990	#123	—	3	1	no	—
991	#123	—	3	1	no	—
992	#123	—	3	1	no	—
993	#123	—	3	1	no	—
994	#123	—	3	1	no	—
995	#123	—	3	1	no	—
996	#123	—	3	1	no	—
997	#123	—	3	1	no	—
998	#123	—	3	1	no	—
999	#123	—	3	1	no	—
1000	#123	—	3	1	no	—
1001	#123	—	3	1	no	—
1002	C₂²⋊Q₈	—	3	1	no	—
1003	C₂²⋊Q₈	—	3	1	no	—
1004	C₂²⋊Q₈	—	3	1	no	—
1005	C₂²⋊Q₈	—	3	1	no	—
1006	C₂²⋊Q₈	—	3	1	no	—
1007	C₂²⋊Q₈	—	3	1	no	—
1008	C₂²⋊Q₈	—	3	1	no	—
1009	C₂²⋊Q₈	—	3	1	no	—
1010	C₂²⋊Q₈	—	3	1	no	—
1011	C₂²⋊Q₈	—	3	1	no	—
1012	C₂²⋊Q₈	—	3	1	no	—
1013	C₂²⋊Q₈	—	3	1	no	—
1014	#121	—	3	1	no	—
1015	#121	—	3	1	no	—
1016	#121	—	3	1	no	—
1017	#121	—	3	1	no	—
1018	#121	—	3	1	no	—
1019	#121	—	3	1	no	—
1020	#121	—	3	1	no	—
1021	#121	—	3	1	no	—
1022	#121	—	3	1	no	—
1023	#121	—	3	1	no	—
1024	#121	—	3	1	no	—
1025	#121	—	3	1	no	—
1026	#121	—	3	1	no	—
1027	#121	—	3	1	no	—
1028	#121	—	3	1	no	—
1029	#121	—	3	1	no	—
1030	#120	—	3	1	no	—
1031	#120	—	3	1	no	—
1032	#120	—	3	1	no	—
1033	#120	—	3	1	no	—
1034	#120	—	3	1	no	—
1035	#120	—	3	1	no	—
1036	#120	—	3	1	no	—
1037	#120	—	3	1	no	—
1038	C₄×Q₈	—	3	1	no	—
1039	C₄×Q₈	—	3	1	no	—
1040	C₄×Q₈	—	3	1	no	—
1041	C₄×Q₈	—	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	—	3	1	no	—
1065	C₄×D₄	—	3	1	no	—
1066	C₄×D₄	—	3	1	no	—
1067	C₄×D₄	—	3	1	no	—
1068	C₄×D₄	—	3	1	no	—
1069	C₄×D₄	—	3	1	no	—
1070	C₄×D₄	—	3	1	no	—
1071	C₄×D₄	—	3	1	no	—
1072	C₄×D₄	—	3	1	no	—
1073	C₄×D₄	—	3	1	no	—
1074	C₄×D₄	C₄×D₃	1	1	yes	characteristic
1075	C₄×D₄	C₄×D₃	1	1	yes	characteristic
1076	C₄×D₄	C₄×D₃	1	1	yes	characteristic
1077	C₄×D₄	C₄×D₃	1	1	yes	characteristic
1078	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1079	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1080	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1081	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1082	#117	—	3	1	no	—
1083	#117	—	3	1	no	—
1084	#117	—	3	1	no	—
1085	#117	—	3	1	no	—
1086	#117	—	3	1	no	—
1087	#117	—	3	1	no	—
1088	#117	—	3	1	no	—
1089	#117	—	3	1	no	—
1090	#117	—	3	1	no	—
1091	#117	—	3	1	no	—
1092	C₂×C₄⋊C₄	—	3	1	no	—
1093	C₂×C₄⋊C₄	—	3	1	no	—
1094	C₂×C₄⋊C₄	—	3	1	no	—
1095	C₂×C₄⋊C₄	C₄×D₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	—	3	1	no	—
1097	C₂×C₂²⋊C₄	—	3	1	no	—
1098	C₂×C₂²⋊C₄	—	3	1	no	—
1099	C₂×C₂²⋊C₄	—	3	1	no	—
1100	C₂×C₂²⋊C₄	—	3	1	no	—
1101	C₂×C₂²⋊C₄	—	3	1	no	—
1102	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
1104	C₂×C₄²	—	3	1	no	—
1105	C₂×C₄²	—	3	1	no	—
1106	C₂×C₄²	—	3	1	no	—
1107	C₂×C₄²	—	3	1	no	—
1108	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1123	C₄⋊C₈	—	3	1	no	—
1124	C₄⋊C₈	—	3	1	no	—
1125	C₄⋊C₈	—	3	1	no	—
1126	C₄⋊C₈	—	3	1	no	—
1127	C₄⋊C₈	—	3	1	no	—
1128	C₄⋊C₈	—	3	1	no	—
1129	C₄⋊C₈	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	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1151	C₂²⋊C₈	—	3	1	no	—
1152	C₂²⋊C₈	—	3	1	no	—
1153	C₂²⋊C₈	—	3	1	no	—
1154	C₂²⋊C₈	—	3	1	no	—
1155	C₂²⋊C₈	—	3	1	no	—
1156	C₂²⋊C₈	—	3	1	no	—
1157	C₂²⋊C₈	—	3	1	no	—
1158	C₂²⋊C₈	—	3	1	no	—
1159	C₂²⋊C₈	—	3	1	no	—
1160	C₂²⋊C₈	—	3	1	no	—
1161	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1162	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1163	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1164	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1165	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1166	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1167	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1168	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1169	#97	—	3	1	no	—
1170	#97	—	3	1	no	—
1171	#97	—	3	1	no	—
1172	#97	—	3	1	no	—
1173	#97	—	3	1	no	—
1174	#97	—	3	1	no	—
1175	#97	—	3	1	no	—
1176	#97	—	3	1	no	—
1177	#97	—	3	1	no	—
1178	#97	—	3	1	no	—
1179	#97	—	3	1	no	—
1180	#97	—	3	1	no	—
1181	#97	—	3	1	no	—
1182	#97	—	3	1	no	—
1183	#97	C₂²×D₃	1	1	yes	characteristic
1184	#97	C₂²×D₃	1	1	yes	characteristic
1185	C₄×C₈	—	3	1	no	—
1186	C₄×C₈	—	3	1	no	—
1187	C₄×C₈	—	3	1	no	—
1188	C₄×C₈	—	3	1	no	—
1189	C₄×C₈	—	3	1	no	—
1190	C₄×C₈	—	3	1	no	—
1191	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1192	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1193	C₂³×C₃	—	2	2	no	—
1194	C₂³×C₃	—	4	1	no	—
1195	C₂³×C₃	—	4	1	no	—
1196	C₂³×C₃	—	4	1	no	—
1197	C₂³×C₃	—	4	1	no	—
1198	C₂³×C₃	—	4	1	no	—
1199	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1200	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1201	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1202	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1203	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1204	C₂²×D₃	—	2	2	no	—
1205	C₂²×D₃	—	2	2	no	—
1206	C₂²×D₃	—	2	2	no	—
1207	C₂²×D₃	—	4	1	no	—
1208	C₂²×D₃	—	4	1	no	—
1209	C₂²×D₃	—	4	1	no	—
1210	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1211	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1212	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1213	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1214	C₃×D₄	—	2	2	no	—
1215	C₃×D₄	—	2	2	no	—
1216	C₃×D₄	—	4	1	no	—
1217	C₃×D₄	—	4	1	no	—
1218	C₂×C₃×C₄	—	2	1	no	—
1219	C₂×C₃×C₄	—	2	1	no	—
1220	C₂×C₃×C₄	—	2	1	no	—
1221	C₂×C₃×C₄	—	2	1	no	—
1222	C₂×C₃×C₄	—	2	1	no	—
1223	C₂×C₃×C₄	—	2	1	no	—
1224	C₂×C₃×C₄	—	2	1	no	—
1225	C₂×C₃×C₄	—	2	1	no	—
1226	C₂×C₃×C₄	—	2	1	no	—
1227	C₂×C₃×C₄	—	2	1	no	—
1228	C₂×C₃×C₄	—	4	1	no	—
1229	C₂×C₃×C₄	—	4	1	no	—
1230	C₂×C₃×C₄	—	4	1	no	—
1231	C₂×C₃×C₄	—	4	1	no	—
1232	C₂×C₃×C₄	—	4	1	no	—
1233	C₂×C₃×C₄	—	4	1	no	—
1234	C₂×C₃×C₄	—	4	1	no	—
1235	C₂×C₃×C₄	—	4	1	no	—
1236	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1237	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1238	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1239	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1240	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1241	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1242	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1243	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1244	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1245	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1246	#67	—	2	2	no	—
1247	#67	—	2	2	no	—
1248	#67	—	2	2	no	—
1249	#67	—	2	2	no	—
1250	#67	—	2	2	no	—
1251	#67	—	4	1	no	—
1252	#67	—	4	1	no	—
1253	#67	—	4	1	no	—
1254	#67	—	4	1	no	—
1255	#67	—	4	1	no	—
1256	#67	—	4	1	no	—
1257	#67	—	4	1	no	—
1258	#67	—	4	1	no	—
1259	#67	—	4	1	no	—
1260	#67	—	4	1	no	—
1261	#67	—	4	1	no	—
1262	C₂×Dic₃	—	2	2	no	—
1263	C₂×Dic₃	—	4	1	no	—
1264	C₂×Dic₃	—	4	1	no	—
1265	C₂×Dic₃	—	4	1	no	—
1266	C₂×Dic₃	—	4	1	no	—
1267	C₂×Dic₃	—	4	1	no	—
1268	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1269	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1270	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1271	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1272	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1273	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1274	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1275	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1276	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1277	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1278	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1279	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1280	D₁₂	—	2	2	no	—
1281	D₁₂	—	4	1	no	—
1282	D₁₂	—	4	1	no	—
1283	D₁₂	—	4	1	no	—
1284	C₄×D₃	—	2	2	no	—
1285	C₄×D₃	—	2	1	no	—
1286	C₄×D₃	—	2	1	no	—
1287	C₄×D₃	—	2	1	no	—
1288	C₄×D₃	—	2	1	no	—
1289	C₄×D₃	—	2	1	no	—
1290	C₄×D₃	—	2	1	no	—
1291	C₄×D₃	—	2	1	no	—
1292	C₄×D₃	—	2	1	no	—
1293	C₄×D₃	—	4	1	no	—
1294	C₄×D₃	—	4	1	no	—
1295	C₄×D₃	—	4	1	no	—
1296	C₄×D₃	—	4	1	no	—
1297	C₄×D₃	—	4	1	no	—
1298	C₄×D₃	—	4	1	no	—
1299	C₄×D₃	—	4	1	no	—
1300	Dic₆	—	4	1	no	—
1301	Dic₆	—	4	1	no	—
1302	Dic₆	—	4	1	no	—
1303	Dic₆	—	4	1	no	—
1304	C₃×C₈	—	2	1	no	—
1305	C₃×C₈	—	2	1	no	—
1306	C₃×C₈	—	2	1	no	—
1307	C₃×C₈	—	2	1	no	—
1308	C₃×C₈	—	2	1	no	—
1309	C₃×C₈	—	2	1	no	—
1310	C₃×C₈	—	2	1	no	—
1311	C₃×C₈	H(5,𝔽₂)	1	2	yes	—
1312	C₃⋊C₈	—	2	1	no	—
1313	C₃⋊C₈	—	2	1	no	—
1314	C₃⋊C₈	—	2	1	no	—
1315	C₃⋊C₈	—	2	1	no	—
1316	C₃⋊C₈	—	2	1	no	—
1317	C₃⋊C₈	—	2	1	no	—
1318	C₃⋊C₈	—	2	1	no	—
1319	C₃⋊C₈	—	2	1	no	—
1320	C₂⁴	—	3	1	no	—
1321	C₂⁴	—	3	1	no	—
1322	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
1323	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
1324	#41	—	12	1	no	—
1325	#41	—	12	1	no	—
1326	#41	—	12	1	no	—
1327	#41	—	12	1	no	—
1328	#41	—	12	2	no	—
1329	#41	—	12	2	no	—
1330	C₂×Q₈	—	3	1	no	—
1331	C₂×Q₈	—	3	1	no	—
1332	C₂×Q₈	—	3	1	no	—
1333	C₂×Q₈	—	3	1	no	—
1334	C₂×D₄	—	3	1	no	—
1335	C₂×D₄	—	3	1	no	—
1336	C₂×D₄	—	3	1	no	—
1337	C₂×D₄	—	3	1	no	—
1338	C₂×D₄	—	3	1	no	—
1339	C₂×D₄	—	3	1	no	—
1340	C₂×D₄	—	3	1	no	—
1341	C₂×D₄	—	3	1	no	—
1342	C₂×D₄	—	3	1	no	—
1343	C₂×D₄	—	3	1	no	—
1344	C₂×D₄	—	3	1	no	—
1345	C₂×D₄	—	3	1	no	—
1346	C₂×D₄	—	3	1	no	—
1347	C₂×D₄	—	3	1	no	—
1348	C₂×D₄	—	3	1	no	—
1349	C₂×D₄	—	3	1	no	—
1350	C₂×D₄	—	3	1	no	—
1351	C₂×D₄	—	3	1	no	—
1352	C₂×D₄	—	3	1	no	—
1353	C₂×D₄	—	3	1	no	—
1354	C₂×D₄	—	4	2	no	—
1355	C₂×D₄	—	12	2	no	—
1356	C₂×D₄	—	12	2	no	—
1357	C₂×D₄	—	12	2	no	—
1358	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1359	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1360	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1361	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1362	C₂²×C₄	—	3	1	no	—
1363	C₂²×C₄	—	3	1	no	—
1364	C₂²×C₄	—	3	1	no	—
1365	C₂²×C₄	—	3	1	no	—
1366	C₂²×C₄	—	3	1	no	—
1367	C₂²×C₄	—	3	1	no	—
1368	C₂²×C₄	—	3	1	no	—
1369	C₂²×C₄	—	3	1	no	—
1370	C₂²×C₄	—	3	1	no	—
1371	C₂²×C₄	—	3	1	no	—
1372	C₂²×C₄	—	3	1	no	—
1373	C₂²×C₄	—	3	1	no	—
1374	C₂²×C₄	—	3	1	no	—
1375	C₂²×C₄	—	3	1	no	—
1376	C₂²×C₄	—	3	1	no	—
1377	C₂²×C₄	—	3	1	no	—
1378	C₂²×C₄	—	3	1	no	—
1379	C₂²×C₄	—	3	1	no	—
1380	C₂²×C₄	—	4	1	no	—
1381	C₂²×C₄	—	4	1	no	—
1382	C₂²×C₄	—	4	1	no	—
1383	C₂²×C₄	—	4	1	no	—
1384	C₂²×C₄	—	12	1	no	—
1385	C₂²×C₄	—	12	1	no	—
1386	C₂²×C₄	—	12	1	no	—
1387	C₂²×C₄	—	12	1	no	—
1388	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1389	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1390	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1391	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1392	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1393	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1394	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1395	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1396	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1401	M₁₆	—	2	2	no	—
1402	M₁₆	—	2	2	no	—
1403	M₁₆	—	2	2	no	—
1404	M₁₆	—	4	1	no	—
1405	M₁₆	—	4	1	no	—
1406	M₁₆	—	4	1	no	—
1407	M₁₆	—	4	1	no	—
1408	M₁₆	—	4	1	no	—
1409	M₁₆	—	6	2	no	—
1410	M₁₆	—	12	1	no	—
1411	M₁₆	—	12	1	no	—
1412	M₁₆	—	12	1	no	—
1413	M₁₆	—	12	1	no	—
1414	M₁₆	—	12	1	no	—
1415	M₁₆	—	12	1	no	—
1416	M₁₆	—	12	1	no	—
1417	M₁₆	—	12	1	no	—
1418	M₁₆	—	12	1	no	—
1419	C₂×C₈	—	2	2	no	—
1420	C₂×C₈	—	2	2	no	—
1421	C₂×C₈	—	3	1	no	—
1422	C₂×C₈	—	3	1	no	—
1423	C₂×C₈	—	3	1	no	—
1424	C₂×C₈	—	3	1	no	—
1425	C₂×C₈	—	3	1	no	—
1426	C₂×C₈	—	3	1	no	—
1427	C₂×C₈	—	3	1	no	—
1428	C₂×C₈	—	3	1	no	—
1429	C₂×C₈	—	4	1	no	—
1430	C₂×C₈	—	4	1	no	—
1431	C₂×C₈	—	6	2	no	—
1432	C₂×C₈	—	6	2	no	—
1433	C₂×C₈	—	6	2	no	—
1434	C₂×C₈	—	12	1	no	—
1435	C₂×C₈	—	12	1	no	—
1436	C₂×C₈	—	12	1	no	—
1437	C₂×C₈	—	12	1	no	—
1438	C₂×C₈	—	12	1	no	—
1439	C₂×C₈	—	12	1	no	—
1440	C₂×C₈	—	12	1	no	—
1441	C₂×C₈	—	12	1	no	—
1442	C₂×C₈	—	12	1	no	—
1443	C₂×C₈	—	12	1	no	—
1444	C₂×C₈	—	12	1	no	—
1445	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1446	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1447	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1448	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1449	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1450	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1451	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1452	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1453	C₄⋊C₄	—	3	1	no	—
1454	C₄⋊C₄	—	3	1	no	—
1455	C₄⋊C₄	—	3	1	no	—
1456	C₄⋊C₄	—	3	1	no	—
1457	C₄⋊C₄	—	3	1	no	—
1458	C₄⋊C₄	—	3	1	no	—
1459	C₄⋊C₄	—	3	1	no	—
1460	C₄⋊C₄	—	3	1	no	—
1461	C₄⋊C₄	—	3	1	no	—
1462	C₄⋊C₄	—	3	1	no	—
1463	C₄⋊C₄	—	3	1	no	—
1464	C₄⋊C₄	—	3	1	no	—
1465	C₄⋊C₄	—	3	1	no	—
1466	C₄⋊C₄	—	3	1	no	—
1467	C₄⋊C₄	—	3	1	no	—
1468	C₄⋊C₄	—	3	1	no	—
1469	C₄⋊C₄	—	3	1	no	—
1470	C₄⋊C₄	—	3	1	no	—
1471	C₄⋊C₄	—	3	1	no	—
1472	C₄⋊C₄	—	3	1	no	—
1473	C₄⋊C₄	—	3	1	no	—
1474	C₄⋊C₄	—	3	1	no	—
1475	C₄⋊C₄	—	3	1	no	—
1476	C₄⋊C₄	—	3	1	no	—
1477	C₄⋊C₄	—	3	1	no	—
1478	C₄⋊C₄	—	3	1	no	—
1479	C₄⋊C₄	—	3	1	no	—
1480	C₄⋊C₄	—	3	1	no	—
1481	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1483	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1484	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1485	C₂²⋊C₄	—	3	1	no	—
1486	C₂²⋊C₄	—	3	1	no	—
1487	C₂²⋊C₄	—	3	1	no	—
1488	C₂²⋊C₄	—	3	1	no	—
1489	C₂²⋊C₄	—	3	1	no	—
1490	C₂²⋊C₄	—	3	1	no	—
1491	C₂²⋊C₄	—	3	1	no	—
1492	C₂²⋊C₄	—	3	1	no	—
1493	C₂²⋊C₄	—	3	1	no	—
1494	C₂²⋊C₄	—	3	1	no	—
1495	C₂²⋊C₄	—	3	1	no	—
1496	C₂²⋊C₄	—	3	1	no	—
1497	C₂²⋊C₄	—	3	1	no	—
1498	C₂²⋊C₄	—	3	1	no	—
1499	C₂²⋊C₄	—	3	1	no	—
1500	C₂²⋊C₄	—	3	1	no	—
1501	C₂²⋊C₄	—	3	1	no	—
1502	C₂²⋊C₄	—	3	1	no	—
1503	C₂²⋊C₄	—	3	1	no	—
1504	C₂²⋊C₄	—	3	1	no	—
1505	C₂²⋊C₄	—	3	1	no	—
1506	C₂²⋊C₄	—	3	1	no	—
1507	C₂²⋊C₄	—	3	1	no	—
1508	C₂²⋊C₄	—	3	1	no	—
1509	C₂²⋊C₄	—	3	1	no	—
1510	C₂²⋊C₄	—	3	1	no	—
1511	C₂²⋊C₄	—	3	1	no	—
1512	C₂²⋊C₄	—	3	1	no	—
1513	C₂²⋊C₄	—	3	1	no	—
1514	C₂²⋊C₄	—	3	1	no	—
1515	C₂²⋊C₄	—	3	1	no	—
1516	C₂²⋊C₄	—	3	1	no	—
1517	C₂²⋊C₄	—	3	1	no	—
1518	C₂²⋊C₄	—	3	1	no	—
1519	C₂²⋊C₄	—	3	1	no	—
1520	C₂²⋊C₄	—	3	1	no	—
1521	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1529	C₄²	—	3	1	no	—
1530	C₄²	—	3	1	no	—
1531	C₄²	—	3	1	no	—
1532	C₄²	—	3	1	no	—
1533	C₄²	—	3	1	no	—
1534	C₄²	—	3	1	no	—
1535	C₄²	—	3	1	no	—
1536	C₄²	—	3	1	no	—
1537	C₄²	—	3	1	no	—
1538	C₄²	—	3	1	no	—
1539	C₄²	—	3	1	no	—
1540	C₄²	—	3	1	no	—
1541	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1542	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1543	C₄²	C₂³×D₃	1	1	yes	characteristic
1544	C₄²	C₂³×D₃	1	1	yes	characteristic
1545	C₂²×C₃	—	2	1	no	—
1546	C₂²×C₃	—	2	1	no	—
1547	C₂²×C₃	—	2	1	no	—
1548	C₂²×C₃	—	2	1	no	—
1549	C₂²×C₃	—	2	1	no	—
1550	C₂²×C₃	—	2	1	no	—
1551	C₂²×C₃	—	2	1	no	—
1552	C₂²×C₃	—	2	1	no	—
1553	C₂²×C₃	—	2	1	no	—
1554	C₂²×C₃	—	2	1	no	—
1555	C₂²×C₃	—	2	1	no	—
1556	C₂²×C₃	—	2	1	no	—
1557	C₂²×C₃	—	2	1	no	—
1558	C₂²×C₃	—	2	1	no	—
1559	C₂²×C₃	—	8	2	no	—
1560	C₂²×C₃	—	8	2	no	—
1561	C₂²×C₃	#568	1	2	yes	—
1562	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1563	C₂×D₃	—	2	1	no	—
1564	C₂×D₃	—	2	1	no	—
1565	C₂×D₃	—	2	1	no	—
1566	C₂×D₃	—	2	1	no	—
1567	C₂×D₃	—	2	1	no	—
1568	C₂×D₃	—	2	1	no	—
1569	C₂×D₃	—	2	1	no	—
1570	C₂×D₃	—	2	1	no	—
1571	C₂×D₃	—	2	1	no	—
1572	C₂×D₃	—	2	1	no	—
1573	C₂×D₃	—	2	1	no	—
1574	C₂×D₃	—	4	4	no	—
1575	C₂×D₃	—	8	2	no	—
1576	C₂×D₃	#568	1	2	yes	—
1577	C₃×C₄	—	2	1	no	—
1578	C₃×C₄	—	2	1	no	—
1579	C₃×C₄	—	2	1	no	—
1580	C₃×C₄	—	2	1	no	—
1581	C₃×C₄	—	2	1	no	—
1582	C₃×C₄	—	2	1	no	—
1583	C₃×C₄	—	2	1	no	—
1584	C₃×C₄	—	2	1	no	—
1585	C₃×C₄	—	2	1	no	—
1586	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1587	C₃×C₄	#585	1	1	yes	characteristic
1588	Dic₃	—	2	1	no	—
1589	Dic₃	—	2	1	no	—
1590	Dic₃	—	2	1	no	—
1591	Dic₃	—	2	1	no	—
1592	Dic₃	—	2	1	no	—
1593	Dic₃	—	2	1	no	—
1594	Dic₃	—	2	1	no	—
1595	Dic₃	—	2	1	no	—
1596	Dic₃	—	2	1	no	—
1597	Dic₃	—	2	1	no	—
1598	Dic₃	—	2	1	no	—
1599	Dic₃	—	2	1	no	—
1600	C₂³	—	2	2	no	—
1601	C₂³	—	3	1	no	—
1602	C₂³	—	3	1	no	—
1603	C₂³	—	3	1	no	—
1604	C₂³	—	3	1	no	—
1605	C₂³	—	4	1	no	—
1606	C₂³	—	4	1	no	—
1607	C₂³	—	4	1	no	—
1608	C₂³	—	4	1	no	—
1609	C₂³	—	4	1	no	—
1610	C₂³	—	6	2	no	—
1611	C₂³	—	6	2	no	—
1612	C₂³	—	6	2	no	—
1613	C₂³	—	12	1	no	—
1614	C₂³	—	12	1	no	—
1615	C₂³	—	12	1	no	—
1616	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1617	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1618	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1619	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1620	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1621	Q₈	—	12	1	no	—
1622	Q₈	—	12	1	no	—
1623	Q₈	—	12	1	no	—
1624	Q₈	—	12	1	no	—
1625	D₄	—	2	2	no	—
1626	D₄	—	2	2	no	—
1627	D₄	—	4	1	no	—
1628	D₄	—	4	1	no	—
1629	D₄	—	6	2	no	—
1630	D₄	—	6	2	no	—
1631	D₄	—	6	2	no	—
1632	D₄	—	6	2	no	—
1633	D₄	—	6	2	no	—
1634	D₄	—	6	2	no	—
1635	D₄	—	12	1	no	—
1636	D₄	—	12	1	no	—
1637	D₄	—	12	1	no	—
1638	D₄	—	12	1	no	—
1639	D₄	—	12	1	no	—
1640	D₄	—	12	1	no	—
1641	D₄	—	12	1	no	—
1642	D₄	—	12	1	no	—
1643	D₄	—	12	1	no	—
1644	D₄	—	12	1	no	—
1645	D₄	—	12	1	no	—
1646	D₄	—	12	1	no	—
1647	D₄	—	12	1	no	—
1648	D₄	—	12	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	3	1	no	—
1660	C₂×C₄	—	3	1	no	—
1661	C₂×C₄	—	3	1	no	—
1662	C₂×C₄	—	3	1	no	—
1663	C₂×C₄	—	3	1	no	—
1664	C₂×C₄	—	3	1	no	—
1665	C₂×C₄	—	3	1	no	—
1666	C₂×C₄	—	3	1	no	—
1667	C₂×C₄	—	3	1	no	—
1668	C₂×C₄	—	3	1	no	—
1669	C₂×C₄	—	3	1	no	—
1670	C₂×C₄	—	3	1	no	—
1671	C₂×C₄	—	4	1	no	—
1672	C₂×C₄	—	4	1	no	—
1673	C₂×C₄	—	4	1	no	—
1674	C₂×C₄	—	4	1	no	—
1675	C₂×C₄	—	4	1	no	—
1676	C₂×C₄	—	4	1	no	—
1677	C₂×C₄	—	4	1	no	—
1678	C₂×C₄	—	4	1	no	—
1679	C₂×C₄	—	6	2	no	—
1680	C₂×C₄	—	6	2	no	—
1681	C₂×C₄	—	6	1	no	—
1682	C₂×C₄	—	6	1	no	—
1683	C₂×C₄	—	6	1	no	—
1684	C₂×C₄	—	6	1	no	—
1685	C₂×C₄	—	6	1	no	—
1686	C₂×C₄	—	6	1	no	—
1687	C₂×C₄	—	6	1	no	—
1688	C₂×C₄	—	6	1	no	—
1689	C₂×C₄	—	12	1	no	—
1690	C₂×C₄	—	12	1	no	—
1691	C₂×C₄	—	12	1	no	—
1692	C₂×C₄	—	12	1	no	—
1693	C₂×C₄	—	12	1	no	—
1694	C₂×C₄	—	12	1	no	—
1695	C₂×C₄	—	12	1	no	—
1696	C₂×C₄	—	12	1	no	—
1697	C₂×C₄	—	12	1	no	—
1698	C₂×C₄	—	12	1	no	—
1699	C₂×C₄	—	12	1	no	—
1700	C₂×C₄	—	12	1	no	—
1701	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1702	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1703	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1704	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1705	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1706	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1707	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1708	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1709	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1710	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1711	C₈	—	2	1	no	—
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	2	1	no	—
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	6	1	no	—
1719	C₈	—	6	1	no	—
1720	C₈	—	6	1	no	—
1721	C₈	—	6	1	no	—
1722	C₈	—	6	1	no	—
1723	C₈	—	6	1	no	—
1724	C₈	—	6	1	no	—
1725	C₈	—	6	1	no	—
1726	C₈	#1004	1	2	yes	—
1727	C₂×C₃	—	2	2	no	—
1728	C₂×C₃	—	4	1	no	—
1729	C₂×C₃	—	4	1	no	—
1730	C₂×C₃	—	4	1	no	—
1731	C₂×C₃	—	4	1	no	—
1732	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1733	C₂×C₃	C₂×#568	1	1	yes	characteristic
1734	C₂×C₃	C₂×#568	1	1	yes	characteristic
1735	D₃	—	2	2	no	—
1736	D₃	—	4	1	no	—
1737	D₃	—	4	1	no	—
1738	D₃	—	4	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	3	2	no	—
1754	C₂²	—	6	1	no	—
1755	C₂²	—	6	1	no	—
1756	C₂²	—	6	1	no	—
1757	C₂²	—	6	1	no	—
1758	C₂²	—	6	1	no	—
1759	C₂²	—	6	1	no	—
1760	C₂²	—	6	1	no	—
1761	C₂²	—	6	1	no	—
1762	C₂²	—	6	1	no	—
1763	C₂²	—	6	1	no	—
1764	C₂²	—	6	1	no	—
1765	C₂²	—	8	2	no	—
1766	C₂²	—	8	2	no	—
1767	C₂²	—	12	4	no	—
1768	C₂²	—	24	2	no	—
1769	C₂²	#5745	1	2	yes	—
1770	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	6	1	no	—
1781	C₄	—	6	1	no	—
1782	C₄	—	6	1	no	—
1783	C₄	—	6	1	no	—
1784	C₄	—	6	1	no	—
1785	C₄	—	6	1	no	—
1786	C₄	—	6	1	no	—
1787	C₄	—	6	1	no	—
1788	C₄	—	6	1	no	—
1789	C₄	—	6	1	no	—
1790	C₄	—	6	1	no	—
1791	C₄	—	6	1	no	—
1792	C₄	C₂×#1004	1	1	yes	characteristic
1793	C₄	#5964	1	1	yes	characteristic
1794	C₃	#60314	1	1	yes	characteristic, complemented, Sylow
1795	C₂	—	2	2	no	—
1796	C₂	—	4	1	no	—
1797	C₂	—	4	1	no	—
1798	C₂	—	4	1	no	—
1799	C₂	—	4	1	no	—
1800	C₂	—	6	2	no	—
1801	C₂	—	12	1	no	—
1802	C₂	—	12	1	no	—
1803	C₂	—	12	1	no	—
1804	C₂	C₄×#1004	1	1	yes	characteristic
1805	C₂	C₂×#5745	1	1	yes	characteristic
1806	C₂	D₃×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×D₄×M₁₆	C₂
prime radical	#85785	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	D₄×M₁₆	D₃
hypocenter	C₃	#60314
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. C₃×D₄×M₁₆	C₂	semidirect
3. C₂×#5127	C₂	semidirect
4. M₁₆×#67	C₂	semidirect
5. #83757	C₂	semidirect
6. #83756	C₂	semidirect
7. #82302	C₂	semidirect
8. #79544	C₂	semidirect
9. #79539	C₂	semidirect
10. #79528	C₂	semidirect
11. #79519	C₂	semidirect
12. #79491	C₂	semidirect
13. #79486	C₂	semidirect
14. #79480	C₂	semidirect
15. D₃×#435	C₂	semidirect
16. #79464	C₂	semidirect
17. #79461	C₂	semidirect
18. #79460	C₂	semidirect
19. #79458	C₂	semidirect
20. #79429	C₂	semidirect
21. #79421	C₂	semidirect
22. #79407	C₂	semidirect
23. #79402	C₂	semidirect
24. #79054	C₂	semidirect
25. #79050	C₂	semidirect
26. #78636	C₂	semidirect
27. #78635	C₂	semidirect
28. #78633	C₂	semidirect
29. #78632	C₂	semidirect
30. #78524	C₂	semidirect
31. #78510	C₂	semidirect
33. C₂²×C₃×M₁₆	C₂²	semidirect
34. C₂²×C₃×M₁₆	C₂²	semidirect
42. C₂×#907	C₂²	semidirect
43. C₂×D₃×M₁₆	C₂²	semidirect
44. C₂×#901	C₂²	semidirect
45. C₂²×D₃×C₈	C₂²	semidirect
70. C₃×#436	C₂²	semidirect
71. C₃×#436	C₂²	semidirect
74. C₃×#435	C₂²	semidirect
75. C₃×#435	C₂²	semidirect
76. C₃×C₈×D₄	C₂²	semidirect
77. C₃×C₈×D₄	C₂²	semidirect
78. C₃×#423	C₂²	semidirect
79. C₃×#407	C₂²	semidirect
80. C₃×#407	C₂²	semidirect
81. C₃×C₄×M₁₆	C₂²	semidirect
82. #5207	C₂²	semidirect
83. #5207	C₂²	semidirect
84. C₂×#830	C₂²	semidirect
85. C₂×#830	C₂²	semidirect
86. #5129	C₂²	semidirect
87. #5128	C₂²	semidirect
88. #5128	C₂²	semidirect
89. #5128	C₂²	semidirect
90. #5128	C₂²	semidirect
91. #5128	C₂²	semidirect
92. #5128	C₂²	semidirect
93. #5128	C₂²	semidirect
94. #5128	C₂²	semidirect
99. #5127	C₂²	semidirect
100. #5127	C₂²	semidirect
101. #5127	C₂²	semidirect
102. #5127	C₂²	semidirect
103. #5127	C₂²	semidirect
104. #5127	C₂²	semidirect
105. #5127	C₂²	semidirect
106. #5127	C₂²	semidirect
107. #5127	C₂²	semidirect
108. #5127	C₂²	semidirect
109. #5127	C₂²	semidirect
110. #5127	C₂²	semidirect
111. #5126	C₂²	semidirect
112. #5122	C₂²	semidirect
113. #5119	C₂²	semidirect
114. #5118	C₂²	semidirect
115. Dic₃×M₁₆	C₂²	semidirect
116. #5111	C₂²	semidirect
117. #5111	C₂²	semidirect
118. #5111	C₂²	semidirect
119. #5111	C₂²	semidirect
120. #5110	C₂²	semidirect
121. C₈×#67	C₂²	semidirect
122. C₈×#67	C₂²	semidirect
123. C₈×#67	C₂²	semidirect
124. C₈×#67	C₂²	semidirect
125. C₂×(C₂×D₃)⋊C₈	C₂²	semidirect
126. #5102	C₂²	semidirect
127. #5101	C₂²	semidirect
128. C₂×#815	C₂²	semidirect
129. C₂×Dic₃⋊C₈	C₂²	semidirect
132. #5011	C₂²	semidirect
133. #5011	C₂²	semidirect
134. #5011	C₂²	semidirect
135. #5011	C₂²	semidirect
136. #5011	C₂²	semidirect
137. #5011	C₂²	semidirect
138. #4926	C₂²	semidirect
139. #4926	C₂²	semidirect
140. #4840	C₂²	semidirect
141. #4840	C₂²	semidirect
142. #4839	C₂²	semidirect
143. #4839	C₂²	semidirect
144. #4837	C₂²	semidirect
145. #4836	C₂²	semidirect
146. #4836	C₂²	semidirect
147. #4836	C₂²	semidirect
148. #4836	C₂²	semidirect
149. #4835	C₂²	semidirect
150. #4833	C₂²	semidirect
151. D₃×C₄⋊C₈	C₂²	semidirect
152. #4828	C₂²	semidirect
153. #4828	C₂²	semidirect
154. #4828	C₂²	semidirect
155. #4828	C₂²	semidirect
156. #4730	C₂²	semidirect
157. #4730	C₂²	semidirect
158. #4730	C₂²	semidirect
159. #4730	C₂²	semidirect
160. #4729	C₂²	semidirect
161. #4729	C₂²	semidirect
162. #4728	C₂²	semidirect
163. #4728	C₂²	semidirect
164. #4728	C₂²	semidirect
165. #4728	C₂²	semidirect
166. #4728	C₂²	semidirect
167. #4728	C₂²	semidirect
168. #4727	C₂²	semidirect
169. #4727	C₂²	semidirect
170. #4727	C₂²	semidirect
171. #4727	C₂²	semidirect
172. #4726	C₂²	semidirect
173. #67⋊C₈	C₂²	semidirect
174. #67⋊C₈	C₂²	semidirect
175. #67⋊C₈	C₂²	semidirect
176. #67⋊C₈	C₂²	semidirect
177. D₃×C₂²⋊C₈	C₂²	semidirect
178. D₃×C₂²⋊C₈	C₂²	semidirect
179. D₃×C₂²⋊C₈	C₂²	semidirect
180. #4720	C₂²	semidirect
181. #4720	C₂²	semidirect
182. #4720	C₂²	semidirect
183. #4720	C₂²	semidirect
184. #4719	C₂²	semidirect
185. #4719	C₂²	semidirect
186. #4719	C₂²	semidirect
187. #4718	C₂²	semidirect
188. #4706	C₂²	semidirect
189. #4706	C₂²	semidirect
190. #4705	C₂²	semidirect
191. #4705	C₂²	semidirect
192. D₃×#97	C₂²	semidirect
193. D₃×#97	C₂²	semidirect
194. #4701	C₂²	semidirect
195. #4701	C₂²	semidirect
196. #4690	C₂²	semidirect
197. #4690	C₂²	semidirect
198. #4689	C₂²	semidirect
199. #4689	C₂²	semidirect
200. C₈×D₁₂	C₂²	semidirect
201. C₈×D₁₂	C₂²	semidirect
202. #4679	C₂²	semidirect
203. #4679	C₂²	semidirect
227. D₄×M₁₆	D₃	semidirect
519. C₂²×M₁₆	C₂×D₃	semidirect
520. C₂²×M₁₆	C₂×D₃	semidirect
571. #436	C₂×D₃	semidirect
572. #436	C₂×D₃	semidirect
619. #435	C₂×D₃	semidirect
620. #435	C₂×D₃	semidirect
631. C₈×D₄	C₂×D₃	semidirect
632. C₈×D₄	C₂×D₃	semidirect
657. #423	C₂×D₃	semidirect
670. #407	C₂×D₃	semidirect
671. #407	C₂×D₃	semidirect
683. C₄×M₁₆	C₂×D₃	semidirect
1794. C₃	#60314	semidirect

Maximal subgroups

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

subgroup	index
#85785	2
C₃×D₄×M₁₆	2
C₂×#5127	2
M₁₆×#67	2
#83757	2
#83756	2
#82302	2
#79544	2
#79539	2
#79528	2
#79519	2
#79491	2
#79486	2
#79480	2
D₃×#435	2
#79464	2
#79461	2
#79460	2
#79458	2
#79429	2
#79421	2
#79407	2
#79402	2
#79054	2
#79050	2
#78636	2
#78635	2
#78633	2
#78632	2
#78524	2
#78510	2
#60314	3