Subgroups — #11660765

Order 768.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3475	C₂	1	1	yes	maximal, characteristic
2	#83333	C₂	1	1	yes	maximal, characteristic, complemented
3	#83331	C₂	1	1	yes	maximal, characteristic, complemented
4	#83133	C₂	1	1	yes	maximal, characteristic, complemented
5	#83133	C₂	1	1	yes	maximal, characteristic, complemented
6	#83132	C₂	1	1	yes	maximal, characteristic, complemented
7	#83131	C₂	1	1	yes	maximal, characteristic, complemented
8	#83130	C₂	1	1	yes	maximal, characteristic, complemented
9	#83130	C₂	1	1	yes	maximal, characteristic, complemented
10	#83129	C₂	1	1	yes	maximal, characteristic, complemented
11	#83128	C₂	1	1	yes	maximal, characteristic, complemented
12	#83128	C₂	1	1	yes	maximal, characteristic, complemented
13	#83127	C₂	1	1	yes	maximal, characteristic, complemented
14	#83127	C₂	1	1	yes	maximal, characteristic, complemented
15	#83126	C₂	1	1	yes	maximal, characteristic, complemented
16	#82921	C₂	1	1	yes	maximal, characteristic, complemented
17	#82920	C₂	1	1	yes	maximal, characteristic, complemented
18	#82919	C₂	1	1	yes	maximal, characteristic, complemented
19	#82919	C₂	1	1	yes	maximal, characteristic, complemented
20	#82522	C₂	1	1	yes	maximal, characteristic, complemented
21	#82521	C₂	1	1	yes	maximal, characteristic, complemented
22	#82518	C₂	1	1	yes	maximal, characteristic, complemented
23	#82517	C₂	1	1	yes	maximal, characteristic, complemented
24	#82515	C₂	1	1	yes	maximal, characteristic, complemented
25	#82514	C₂	1	1	yes	maximal, characteristic, complemented
26	#82303	C₂	1	1	yes	maximal, characteristic, complemented
27	#82302	C₂	1	1	yes	maximal, characteristic, complemented
28	#82210	C₂	1	1	yes	maximal, characteristic, complemented
29	#82210	C₂	1	1	yes	maximal, characteristic, complemented
30	#82209	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#5000	C₂	1	1	yes	maximal, characteristic, complemented
32	#60299	—	3	1	no	maximal, Sylow
33	C₃×#556	C₄	1	1	yes	characteristic
34	C₃×#555	C₄	1	1	yes	characteristic
35	C₃×#554	C₄	1	1	yes	characteristic
36	C₃×#553	C₄	1	1	yes	characteristic
37	C₃×#553	C₄	1	1	yes	characteristic
38	C₃×#552	C₄	1	1	yes	characteristic
39	C₃×#552	C₄	1	1	yes	characteristic
40	C₃×#552	C₄	1	1	yes	characteristic
41	C₃×#552	C₄	1	1	yes	characteristic
42	C₃×#551	C₄	1	1	yes	characteristic
43	C₃×#551	C₄	1	1	yes	characteristic
44	C₃×#551	C₄	1	1	yes	characteristic
45	C₃×#551	C₄	1	1	yes	characteristic
46	C₃×#547	C₄	1	1	yes	characteristic
47	C₃×#546	C₄	1	1	yes	characteristic
48	C₃×#546	C₄	1	1	yes	characteristic
49	C₃×#533	C₂²	1	1	yes	characteristic
50	C₃×#529	C₂²	1	1	yes	characteristic
51	C₃×#529	C₂²	1	1	yes	characteristic
52	C₃×#529	C₂²	1	1	yes	characteristic
53	C₃×#529	C₂²	1	1	yes	characteristic
54	C₃×#529	C₂²	1	1	yes	characteristic
55	C₃×#529	C₂²	1	1	yes	characteristic
56	C₃×#525	C₂²	1	1	yes	characteristic
57	C₃×#525	C₂²	1	1	yes	characteristic
58	C₃×C₄×#41	C₂²	1	1	yes	characteristic
59	C₃×C₄×#41	C₂²	1	1	yes	characteristic
60	C₃×C₄×#41	C₂²	1	1	yes	characteristic
61	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
62	C₂×C₃×#117	C₂²	1	1	yes	characteristic
63	C₂×C₃×#117	C₂²	1	1	yes	characteristic
64	#5234	C₂²	1	1	yes	characteristic
65	#5234	C₂²	1	1	yes	characteristic
66	#5234	C₂²	1	1	yes	characteristic
67	#5234	C₂²	1	1	yes	characteristic
68	#5207	C₂²	1	1	yes	characteristic
69	#5207	C₂²	1	1	yes	characteristic
70	#5207	C₂²	1	1	yes	characteristic
71	#5207	C₂²	1	1	yes	characteristic
72	C₂×#830	C₂²	1	1	yes	characteristic
73	C₂×#830	C₂²	1	1	yes	characteristic
74	C₂×#830	C₂²	1	1	yes	characteristic
75	C₂×#830	C₂²	1	1	yes	characteristic
76	#5024	C₂²	1	1	yes	characteristic, complemented
77	#5024	C₂²	1	1	yes	characteristic, complemented
78	#5024	C₂²	1	1	yes	characteristic, complemented
79	#5024	C₂²	1	1	yes	characteristic, complemented
80	#5024	C₂²	1	1	yes	characteristic, complemented
81	#5024	C₂²	1	1	yes	characteristic, complemented
82	#5024	C₂²	1	1	yes	characteristic, complemented
83	#5024	C₂²	1	1	yes	characteristic, complemented
84	#5024	C₂²	1	1	yes	characteristic, complemented
85	#5024	C₂²	1	1	yes	characteristic, complemented
86	#5024	C₂²	1	1	yes	characteristic, complemented
87	#5024	C₂²	1	1	yes	characteristic, complemented
88	#5024	C₂²	1	1	yes	characteristic, complemented
89	#5024	C₂²	1	1	yes	characteristic, complemented
90	Q₈×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
91	Q₈×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
92	#5012	C₂²	1	1	yes	characteristic
93	#5012	C₂²	1	1	yes	characteristic
94	#5012	C₂²	1	1	yes	characteristic, complemented
95	#5012	C₂²	1	1	yes	characteristic, complemented
96	#5012	C₂²	1	1	yes	characteristic, complemented
97	#5012	C₂²	1	1	yes	characteristic, complemented
98	#5012	C₂²	1	1	yes	characteristic, complemented
99	#5012	C₂²	1	1	yes	characteristic, complemented
100	#5012	C₂²	1	1	yes	characteristic, complemented
101	#5012	C₂²	1	1	yes	characteristic, complemented
102	#5011	C₂²	1	1	yes	characteristic
103	#5011	C₂²	1	1	yes	characteristic
104	#5011	C₂²	1	1	yes	characteristic
105	#5011	C₂²	1	1	yes	characteristic
106	#5011	C₂²	1	1	yes	characteristic
107	#5011	C₂²	1	1	yes	characteristic
108	#5011	C₂²	1	1	yes	characteristic
109	#5011	C₂²	1	1	yes	characteristic
110	#5011	C₂²	1	1	yes	characteristic
111	#5011	C₂²	1	1	yes	characteristic
112	#5011	C₂²	1	1	yes	characteristic
113	#5011	C₂²	1	1	yes	characteristic
114	#5011	C₂²	1	1	yes	characteristic, complemented
115	#5011	C₂²	1	1	yes	characteristic, complemented
116	#5011	C₂²	1	1	yes	characteristic, complemented
117	#5011	C₂²	1	1	yes	characteristic, complemented
118	#5011	C₂²	1	1	yes	characteristic, complemented
119	#5011	C₂²	1	1	yes	characteristic, complemented
120	#5011	C₂²	1	1	yes	characteristic, complemented
121	#5011	C₂²	1	1	yes	characteristic, complemented
122	#5011	C₂²	1	1	yes	characteristic, complemented
123	#5011	C₂²	1	1	yes	characteristic, complemented
124	#5011	C₂²	1	1	yes	characteristic, complemented
125	#5011	C₂²	1	1	yes	characteristic, complemented
126	#5011	C₂²	1	1	yes	characteristic, complemented
127	#5011	C₂²	1	1	yes	characteristic, complemented
128	#5011	C₂²	1	1	yes	characteristic, complemented
129	#5011	C₂²	1	1	yes	characteristic, complemented
130	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic
131	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic
132	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
133	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
134	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
135	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
138	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
139	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
140	#5000	C₂²	1	1	yes	characteristic
141	#5000	C₂²	1	1	yes	characteristic
142	#5000	C₂²	1	1	yes	characteristic
143	#5000	C₂²	1	1	yes	characteristic
144	#5000	C₂²	1	1	yes	characteristic
145	#5000	C₂²	1	1	yes	characteristic
146	#5000	C₂²	1	1	yes	characteristic
147	#5000	C₂²	1	1	yes	characteristic
148	#5000	C₂²	1	1	yes	characteristic
149	#5000	C₂²	1	1	yes	characteristic
150	#5000	C₂²	1	1	yes	characteristic
151	#5000	C₂²	1	1	yes	characteristic
152	#5000	C₂²	1	1	yes	characteristic, complemented
153	#5000	C₂²	1	1	yes	characteristic, complemented
154	#5000	C₂²	1	1	yes	characteristic, complemented
155	#5000	C₂²	1	1	yes	characteristic, complemented
156	#5000	C₂²	1	1	yes	characteristic, complemented
157	#5000	C₂²	1	1	yes	characteristic, complemented
158	#5000	C₂²	1	1	yes	characteristic, complemented
159	#5000	C₂²	1	1	yes	characteristic, complemented
160	#5000	C₂²	1	1	yes	characteristic, complemented
161	#5000	C₂²	1	1	yes	characteristic, complemented
162	#5000	C₂²	1	1	yes	characteristic, complemented
163	#5000	C₂²	1	1	yes	characteristic, complemented
164	#4999	C₂²	1	1	yes	characteristic, complemented
165	#4999	C₂²	1	1	yes	characteristic, complemented
166	#4999	C₂²	1	1	yes	characteristic, complemented
167	#4999	C₂²	1	1	yes	characteristic, complemented
168	#4999	C₂²	1	1	yes	characteristic, complemented
169	#4999	C₂²	1	1	yes	characteristic, complemented
170	#4997	C₂²	1	1	yes	characteristic, complemented
171	#4997	C₂²	1	1	yes	characteristic, complemented
172	#4997	C₂²	1	1	yes	characteristic, complemented
173	#4997	C₂²	1	1	yes	characteristic, complemented
174	#4997	C₂²	1	1	yes	characteristic, complemented
175	#4997	C₂²	1	1	yes	characteristic, complemented
176	#4926	C₂²	1	1	yes	characteristic
177	#4926	C₂²	1	1	yes	characteristic
178	#4926	C₂²	1	1	yes	characteristic
179	#4926	C₂²	1	1	yes	characteristic, complemented
180	#4926	C₂²	1	1	yes	characteristic, complemented
181	#4926	C₂²	1	1	yes	characteristic, complemented
182	#4926	C₂²	1	1	yes	characteristic, complemented
183	#4926	C₂²	1	1	yes	characteristic, complemented
184	#4926	C₂²	1	1	yes	characteristic, complemented
185	#4926	C₂²	1	1	yes	characteristic, complemented
186	#4925	C₂²	1	1	yes	characteristic
187	#4925	C₂²	1	1	yes	characteristic, complemented
188	#4925	C₂²	1	1	yes	characteristic, complemented
189	#4925	C₂²	1	1	yes	characteristic, complemented
190	#4925	C₂²	1	1	yes	characteristic, complemented
191	#4925	C₂²	1	1	yes	characteristic, complemented
192	#4924	C₂²	1	1	yes	characteristic, complemented
193	#4924	C₂²	1	1	yes	characteristic, complemented
194	#4924	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
198	C₄×#208	C₂²	1	1	yes	characteristic, complemented
199	C₄×#208	C₂²	1	1	yes	characteristic, complemented
200	C₄×#208	C₂²	1	1	yes	characteristic, complemented
201	C₂×#803	C₂²	1	1	yes	characteristic, complemented
202	C₂×#803	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
204	#3475	D₃	1	1	yes	characteristic
205	#2995	—	3	1	no	—
206	#2995	—	3	1	no	—
207	#2994	—	3	1	no	—
208	#2993	—	3	1	no	—
209	#2992	—	3	1	no	—
210	#2992	—	3	1	no	—
211	#2990	—	3	1	no	—
212	#2989	—	3	1	no	—
213	#2987	—	3	1	no	—
214	#2985	—	3	1	no	—
215	#2978	—	3	1	no	—
216	#2977	—	3	1	no	—
217	#2976	—	3	1	no	—
218	#2976	—	3	1	no	—
219	#2974	—	3	1	no	—
220	#2973	—	3	1	no	—
221	#2970	—	3	1	no	—
222	#2969	—	3	1	no	—
223	#2968	—	3	1	no	—
224	#2968	—	3	1	no	—
225	#2967	—	3	1	no	—
226	#2967	—	3	1	no	—
227	#2966	—	3	1	no	—
228	#2965	—	3	1	no	—
229	#2925	—	3	1	no	—
230	#2924	—	3	1	no	—
231	#2924	—	3	1	no	—
232	#2923	—	3	1	no	—
233	#2921	—	3	1	no	—
234	C₂×#433	—	3	1	no	—
235	C₂×C₃×#41	C₂×C₄	1	1	yes	characteristic
236	C₂×C₃×#41	C₂×C₄	1	1	yes	characteristic
237	C₂×C₃×#41	C₂³	1	1	yes	characteristic
238	C₂²×C₃×D₄	C₂×C₄	1	1	yes	characteristic
239	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
240	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
241	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
242	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
243	C₃×#126	C₂×C₄	1	1	yes	characteristic
244	C₃×#126	C₂×C₄	1	1	yes	characteristic
245	C₃×#126	C₂×C₄	1	1	yes	characteristic
246	C₃×#126	C₂×C₄	1	1	yes	characteristic
247	C₃×#126	C₂×C₄	1	1	yes	characteristic
248	C₃×#126	C₂×C₄	1	1	yes	characteristic
249	C₃×#126	C₂×C₄	1	1	yes	characteristic
250	C₃×#126	C₂×C₄	1	1	yes	characteristic
251	C₃×#126	C₂×C₄	1	1	yes	characteristic
252	C₃×#126	C₂×C₄	1	1	yes	characteristic
253	C₃×#126	C₂×C₄	1	1	yes	characteristic
254	C₃×#126	C₂×C₄	1	1	yes	characteristic
255	C₃×#125	C₂×C₄	1	1	yes	characteristic
256	C₃×#125	C₂×C₄	1	1	yes	characteristic
257	C₃×#125	C₂×C₄	1	1	yes	characteristic
258	C₃×#125	C₂×C₄	1	1	yes	characteristic
259	C₃×#125	C₂×C₄	1	1	yes	characteristic
260	C₃×#125	C₂×C₄	1	1	yes	characteristic
261	C₃×#125	C₂×C₄	1	1	yes	characteristic
262	C₃×#125	C₂×C₄	1	1	yes	characteristic
263	C₃×#124	C₂×C₄	1	1	yes	characteristic
264	C₃×#124	C₂×C₄	1	1	yes	characteristic
265	C₃×#124	C₂×C₄	1	1	yes	characteristic
266	C₃×#124	C₂×C₄	1	1	yes	characteristic
267	C₃×#124	C₂×C₄	1	1	yes	characteristic
268	C₃×#124	C₂×C₄	1	1	yes	characteristic
269	C₃×#123	C₂×C₄	1	1	yes	characteristic
270	C₃×#123	C₂×C₄	1	1	yes	characteristic
271	C₃×#123	C₂×C₄	1	1	yes	characteristic
272	C₃×#123	C₂×C₄	1	1	yes	characteristic
273	C₃×#123	C₂×C₄	1	1	yes	characteristic
274	C₃×#123	C₂×C₄	1	1	yes	characteristic
275	C₃×#123	C₂×C₄	1	1	yes	characteristic
276	C₃×#123	C₂×C₄	1	1	yes	characteristic
277	C₃×#123	C₂×C₄	1	1	yes	characteristic
278	C₃×#123	C₂×C₄	1	1	yes	characteristic
279	C₃×#123	C₂×C₄	1	1	yes	characteristic
280	C₃×#123	C₂×C₄	1	1	yes	characteristic
281	C₃×#123	C₂×C₄	1	1	yes	characteristic
282	C₃×#123	C₂×C₄	1	1	yes	characteristic
283	C₃×#123	C₂×C₄	1	1	yes	characteristic
284	C₃×#123	C₂×C₄	1	1	yes	characteristic
285	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
286	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
287	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
288	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
289	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
290	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
291	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
292	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
293	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
294	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
295	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
296	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
297	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
298	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
299	C₃×#121	C₂×C₄	1	1	yes	characteristic
300	C₃×#121	C₂×C₄	1	1	yes	characteristic
301	C₃×#121	C₂×C₄	1	1	yes	characteristic
302	C₃×#121	C₂×C₄	1	1	yes	characteristic
303	C₃×#121	C₂×C₄	1	1	yes	characteristic
304	C₃×#121	C₂×C₄	1	1	yes	characteristic
305	C₃×#121	C₂×C₄	1	1	yes	characteristic
306	C₃×#121	C₂×C₄	1	1	yes	characteristic
307	C₃×#121	C₂×C₄	1	1	yes	characteristic
308	C₃×#121	C₂×C₄	1	1	yes	characteristic
309	C₃×#120	C₂×C₄	1	1	yes	characteristic
310	C₃×#120	C₂×C₄	1	1	yes	characteristic
311	C₃×#120	C₂×C₄	1	1	yes	characteristic
312	C₃×#120	C₂×C₄	1	1	yes	characteristic
313	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
314	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
315	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
316	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
317	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
318	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
319	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
320	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
321	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
322	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
323	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
324	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
325	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
326	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
327	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
328	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
329	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
330	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
331	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
332	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
333	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
334	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
335	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
336	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
337	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
338	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
339	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
340	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
341	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
342	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
343	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
344	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
345	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
346	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
347	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
348	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
349	C₃×#117	C₂×C₄	1	1	yes	characteristic
350	C₃×#117	C₂×C₄	1	1	yes	characteristic
351	C₃×#117	C₂×C₄	1	1	yes	characteristic
352	C₃×#117	C₂×C₄	1	1	yes	characteristic
353	C₃×#117	C₂×C₄	1	1	yes	characteristic
354	C₃×#117	C₂×C₄	1	1	yes	characteristic
355	C₃×#117	C₂×C₄	1	1	yes	characteristic
356	C₃×#117	C₂×C₄	1	1	yes	characteristic
357	C₃×#117	C₂×C₄	1	1	yes	characteristic
358	C₃×#117	C₂×C₄	1	1	yes	characteristic
359	C₃×#117	C₂×C₄	1	1	yes	characteristic
360	C₃×#117	C₂×C₄	1	1	yes	characteristic
361	C₃×#117	C₂×C₄	1	1	yes	characteristic
362	C₃×#117	C₂×C₄	1	1	yes	characteristic
363	C₃×#117	C₂³	1	1	yes	characteristic
364	C₃×#117	C₂³	1	1	yes	characteristic
365	C₃×#117	C₂³	1	1	yes	characteristic
366	C₃×#117	C₂³	1	1	yes	characteristic
367	C₃×#117	C₂³	1	1	yes	characteristic
368	C₃×#117	C₂³	1	1	yes	characteristic
369	C₃×#117	C₂³	1	1	yes	characteristic
370	C₃×#117	C₂³	1	1	yes	characteristic
371	C₃×#117	C₂³	1	1	yes	characteristic
372	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
373	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
374	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
375	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
376	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
377	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
378	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
379	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
380	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
381	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
382	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
383	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
384	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
385	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
386	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
387	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
388	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
389	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
390	C₂×#208	C₂³	1	1	yes	characteristic
391	C₂×#208	C₂³	1	1	yes	characteristic
392	C₂×#208	C₂³	1	1	yes	characteristic
393	C₂×#208	C₂³	1	1	yes	characteristic
394	C₂×#208	C₂³	1	1	yes	characteristic
395	C₂×#208	C₂³	1	1	yes	characteristic
396	C₂×#208	C₂³	1	1	yes	characteristic
397	C₂×#208	C₂³	1	1	yes	characteristic
398	C₂×#208	C₂³	1	1	yes	characteristic
399	C₂×#208	C₂³	1	1	yes	characteristic
400	C₂×#208	C₂³	1	1	yes	characteristic
401	C₂×#208	C₂³	1	1	yes	characteristic
402	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
403	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
404	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
405	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
406	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
407	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
408	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
409	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
410	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
411	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
412	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
413	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
414	#830	C₂³	1	1	yes	characteristic
415	#830	C₂³	1	1	yes	characteristic
416	#830	C₂³	1	1	yes	characteristic
417	#830	C₂³	1	1	yes	characteristic
418	#830	C₂³	1	1	yes	characteristic
419	#830	C₂³	1	1	yes	characteristic
420	#830	C₂³	1	1	yes	characteristic
421	#830	C₂³	1	1	yes	characteristic
422	#830	C₂³	1	1	yes	characteristic
423	#830	C₂³	1	1	yes	characteristic
424	#830	C₂³	1	1	yes	characteristic
425	#830	C₂³	1	1	yes	characteristic
426	#830	C₂³	1	1	yes	characteristic
427	#830	C₂³	1	1	yes	characteristic
428	#830	C₂³	1	1	yes	characteristic
429	#830	C₂³	1	1	yes	characteristic
430	#830	C₂³	1	1	yes	characteristic
431	#830	C₂³	1	1	yes	characteristic
432	#830	C₂³	1	1	yes	characteristic
433	#830	C₂³	1	1	yes	characteristic
434	#830	C₂³	1	1	yes	characteristic
435	#830	C₂³	1	1	yes	characteristic
436	#830	C₂³	1	1	yes	characteristic
437	#830	C₂³	1	1	yes	characteristic
438	#830	C₂³	1	1	yes	characteristic
439	#830	C₂³	1	1	yes	characteristic
440	#830	C₂³	1	1	yes	characteristic
441	#830	C₂³	1	1	yes	characteristic
442	#830	C₂³	1	1	yes	characteristic
443	#830	C₂³	1	1	yes	characteristic
444	#830	C₂³	1	1	yes	characteristic
445	#830	C₂³	1	1	yes	characteristic
446	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
447	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
448	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
449	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
450	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
451	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
452	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
453	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
454	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
455	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
456	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
457	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
458	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
459	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
460	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
461	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
462	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
463	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
464	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
465	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
466	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
467	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
468	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
469	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
472	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
473	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
475	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
477	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
478	#803	C₂³	1	1	yes	characteristic
479	#803	C₂³	1	1	yes	characteristic
480	#803	C₂³	1	1	yes	characteristic
481	#803	C₂³	1	1	yes	characteristic
482	#803	C₂³	1	1	yes	characteristic
483	#803	C₂³	1	1	yes	characteristic
484	#803	C₂³	1	1	yes	characteristic
485	#803	C₂³	1	1	yes	characteristic
486	#803	C₂³	1	1	yes	characteristic
487	#803	C₂³	1	1	yes	characteristic
488	#803	C₂³	1	1	yes	characteristic
489	#803	C₂³	1	1	yes	characteristic
490	#803	C₂³	1	1	yes	characteristic
491	#803	C₂³	1	1	yes	characteristic
492	#803	C₂³	1	1	yes	characteristic
493	#803	C₂³	1	1	yes	characteristic
494	#803	C₂³	1	1	yes	characteristic
495	#803	C₂³	1	1	yes	characteristic
496	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
497	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
498	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
499	C₄×C₃⋊C₈	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	#556	Dic₃	1	1	yes	characteristic
511	#555	Dic₃	1	1	yes	characteristic
512	#554	Dic₃	1	1	yes	characteristic
513	#553	Dic₃	1	1	yes	characteristic
514	#553	Dic₃	1	1	yes	characteristic
515	#552	Dic₃	1	1	yes	characteristic
516	#552	Dic₃	1	1	yes	characteristic
517	#552	Dic₃	1	1	yes	characteristic
518	#552	Dic₃	1	1	yes	characteristic
519	#551	Dic₃	1	1	yes	characteristic
520	#551	Dic₃	1	1	yes	characteristic
521	#551	Dic₃	1	1	yes	characteristic
522	#551	Dic₃	1	1	yes	characteristic
523	#547	Dic₃	1	1	yes	characteristic
524	#546	Dic₃	1	1	yes	characteristic
525	#546	Dic₃	1	1	yes	characteristic
526	#533	C₂×D₃	1	1	yes	characteristic
527	#529	C₂×D₃	1	1	yes	characteristic
528	#529	C₂×D₃	1	1	yes	characteristic
529	#529	C₂×D₃	1	1	yes	characteristic
530	#529	C₂×D₃	1	1	yes	characteristic
531	#529	C₂×D₃	1	1	yes	characteristic
532	#529	C₂×D₃	1	1	yes	characteristic
533	#525	C₂×D₃	1	1	yes	characteristic
534	#525	C₂×D₃	1	1	yes	characteristic
535	C₄×#41	C₂×D₃	1	1	yes	characteristic
536	C₄×#41	C₂×D₃	1	1	yes	characteristic
537	C₄×#41	C₂×D₃	1	1	yes	characteristic
538	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
539	C₂×#117	C₂×D₃	1	1	yes	characteristic
540	C₂×#117	C₂×D₃	1	1	yes	characteristic
541	#446	—	3	1	no	—
542	#446	—	3	1	no	—
543	#446	—	3	1	no	—
544	#446	—	3	1	no	—
545	#446	—	3	1	no	—
546	#446	—	3	1	no	—
547	#446	—	3	1	no	—
548	#446	—	3	1	no	—
549	#446	—	3	1	no	—
550	#446	—	3	1	no	—
551	#446	—	3	1	no	—
552	#446	—	3	1	no	—
553	#446	—	3	1	no	—
554	#446	—	3	1	no	—
555	C₈×Q₈	—	3	1	no	—
556	C₈×Q₈	—	3	1	no	—
557	#436	—	3	1	no	—
558	#436	—	3	1	no	—
559	#436	—	3	1	no	—
560	#436	—	3	1	no	—
561	#436	—	3	1	no	—
562	#436	—	3	1	no	—
563	#436	—	3	1	no	—
564	#436	—	3	1	no	—
565	#436	—	3	1	no	—
566	#436	—	3	1	no	—
567	#435	—	3	1	no	—
568	#435	—	3	1	no	—
569	#435	—	3	1	no	—
570	#435	—	3	1	no	—
571	#435	—	3	1	no	—
572	#435	—	3	1	no	—
573	#435	—	3	1	no	—
574	#435	—	3	1	no	—
575	#435	—	3	1	no	—
576	#435	—	3	1	no	—
577	#435	—	3	1	no	—
578	#435	—	3	1	no	—
579	#435	—	3	1	no	—
580	#435	—	3	1	no	—
581	#435	—	3	1	no	—
582	#435	—	3	1	no	—
583	#435	—	3	1	no	—
584	#435	—	3	1	no	—
585	#435	—	3	1	no	—
586	#435	—	3	1	no	—
587	#435	—	3	1	no	—
588	#435	—	3	1	no	—
589	#435	—	3	1	no	—
590	#435	—	3	1	no	—
591	#435	—	3	1	no	—
592	#435	—	3	1	no	—
593	#435	—	3	1	no	—
594	#435	—	3	1	no	—
595	C₈×D₄	—	3	1	no	—
596	C₈×D₄	—	3	1	no	—
597	C₈×D₄	—	3	1	no	—
598	C₈×D₄	—	3	1	no	—
599	C₈×D₄	—	3	1	no	—
600	C₈×D₄	—	3	1	no	—
601	C₈×D₄	—	3	1	no	—
602	C₈×D₄	—	3	1	no	—
603	C₈×D₄	—	3	1	no	—
604	C₈×D₄	—	3	1	no	—
605	#433	—	3	1	no	—
606	#433	—	3	1	no	—
607	#433	—	3	1	no	—
608	#433	—	3	1	no	—
609	#433	—	3	1	no	—
610	#433	—	3	1	no	—
611	#433	—	3	1	no	—
612	#433	—	3	1	no	—
613	#433	—	3	1	no	—
614	#433	—	3	1	no	—
615	#433	—	3	1	no	—
616	#433	—	3	1	no	—
617	#433	—	3	1	no	—
618	#433	—	3	1	no	—
619	#433	—	3	1	no	—
620	#433	—	3	1	no	—
621	#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	—	3	1	no	—
636	#432	—	3	1	no	—
637	#432	—	3	1	no	—
638	#432	—	3	1	no	—
639	#431	—	3	1	no	—
640	#431	—	3	1	no	—
641	#431	—	3	1	no	—
642	#431	—	3	1	no	—
643	#431	—	3	1	no	—
644	#431	—	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	#423	—	3	1	no	—
652	#423	—	3	1	no	—
653	#423	—	3	1	no	—
654	C₂×C₄⋊C₈	—	3	1	no	—
655	C₂×C₄⋊C₈	—	3	1	no	—
656	C₂×C₄⋊C₈	—	3	1	no	—
657	#408	—	3	1	no	—
658	#408	—	3	1	no	—
659	#408	—	3	1	no	—
660	#408	—	3	1	no	—
661	#407	—	3	1	no	—
662	#407	—	3	1	no	—
663	#407	—	3	1	no	—
664	#407	—	3	1	no	—
665	C₂×C₂²⋊C₈	—	3	1	no	—
666	C₂×C₂²⋊C₈	—	3	1	no	—
667	C₂×C₂²⋊C₈	—	3	1	no	—
668	C₂×C₂²⋊C₈	—	3	1	no	—
669	#405	—	3	1	no	—
670	#405	—	3	1	no	—
671	#405	—	3	1	no	—
672	#405	—	3	1	no	—
673	#405	—	3	1	no	—
674	#405	—	3	1	no	—
675	C₄×M₁₆	—	3	1	no	—
676	C₄×M₁₆	—	3	1	no	—
677	C₄×M₁₆	—	3	1	no	—
678	C₂×#97	—	3	1	no	—
679	C₂×#97	—	3	1	no	—
680	C₂×C₄×C₈	—	3	1	no	—
681	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
682	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
683	C₃×#41	—	4	1	no	—
684	C₃×#41	—	4	1	no	—
685	C₃×#41	—	4	2	no	—
686	C₃×#41	—	4	2	no	—
687	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₃×D₄	—	4	2	no	—
693	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
708	C₂²×C₃×C₄	—	4	1	no	—
709	C₂²×C₃×C₄	—	4	1	no	—
710	C₂²×C₃×C₄	—	4	1	no	—
711	C₂²×C₃×C₄	—	4	1	no	—
712	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
713	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
714	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
715	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
716	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
717	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
718	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
719	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
720	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
721	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
722	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
723	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
724	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
725	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
726	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
727	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
728	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
729	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
730	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
731	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
732	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
733	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
734	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
735	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
736	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
737	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
738	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
739	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
740	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
741	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
742	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
743	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
744	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
745	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
746	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
747	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
748	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
749	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₃×C₄⋊C₄	C₂²×C₄	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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
769	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
770	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
771	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
772	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
773	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
774	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
775	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
776	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
777	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
778	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
779	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
780	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
781	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
782	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
783	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
784	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
785	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
786	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
787	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
788	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
789	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	C₃×C₂²⋊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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
801	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
802	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
803	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
804	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
805	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
806	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
807	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
808	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
809	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
810	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
811	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
812	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
813	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
814	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
815	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
816	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
817	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
818	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
819	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
820	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
821	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
822	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
823	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
824	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
825	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
826	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
827	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
828	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
829	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
830	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
831	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
832	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
833	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
834	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
835	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
836	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
837	C₃×C₄²	C₂⁴	1	1	yes	characteristic
838	C₃×C₄²	C₂⁴	1	1	yes	characteristic
839	C₃×C₄²	C₂⁴	1	1	yes	characteristic
840	C₃×C₄²	C₂⁴	1	1	yes	characteristic
841	C₃×C₄²	C₂⁴	1	1	yes	characteristic
842	C₃×C₄²	C₂⁴	1	1	yes	characteristic
843	C₃×C₄²	C₂⁴	1	1	yes	characteristic
844	C₃×C₄²	C₂⁴	1	1	yes	characteristic
845	#208	—	4	1	no	—
846	#208	—	4	1	no	—
847	#208	—	4	1	no	—
848	#208	—	4	1	no	—
849	#208	—	4	1	no	—
850	#208	—	4	1	no	—
851	#208	—	4	1	no	—
852	#208	—	4	1	no	—
853	#208	—	4	1	no	—
854	#208	—	4	1	no	—
855	#208	—	4	1	no	—
856	#208	—	4	1	no	—
857	C₂×C₃⋊C₈	—	4	1	no	—
858	C₂×C₃⋊C₈	—	4	1	no	—
859	C₂×C₃⋊C₈	—	4	1	no	—
860	C₂×C₃⋊C₈	—	4	1	no	—
861	C₂×C₃⋊C₈	—	4	1	no	—
862	C₂×C₃⋊C₈	—	4	1	no	—
863	C₂×C₃⋊C₈	—	4	1	no	—
864	C₂×C₃⋊C₈	—	4	1	no	—
865	C₂×C₃⋊C₈	—	4	1	no	—
866	C₂×C₃⋊C₈	—	4	1	no	—
867	C₂×C₃⋊C₈	—	4	1	no	—
868	C₂×C₃⋊C₈	—	4	1	no	—
869	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
870	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
871	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
872	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
873	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
874	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
875	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
876	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
877	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
878	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
879	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
880	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
881	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
882	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
883	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
884	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
885	C₂×#41	C₂×Dic₃	1	1	yes	characteristic
886	C₂×#41	C₂×Dic₃	1	1	yes	characteristic
887	C₂×#41	C₂²×D₃	1	1	yes	characteristic
888	C₂²×D₄	C₂×Dic₃	1	1	yes	characteristic
889	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
890	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
891	C₂×M₁₆	—	3	1	no	—
892	C₂×M₁₆	—	3	1	no	—
893	C₂×M₁₆	—	3	1	no	—
894	C₂×M₁₆	—	3	1	no	—
895	C₂×M₁₆	—	3	1	no	—
896	C₂×M₁₆	—	3	1	no	—
897	C₂×M₁₆	—	3	1	no	—
898	C₂×M₁₆	—	3	1	no	—
899	C₂×M₁₆	—	3	1	no	—
900	C₂×M₁₆	—	3	1	no	—
901	C₂×M₁₆	—	3	1	no	—
902	C₂×M₁₆	—	3	1	no	—
903	C₂²×C₈	—	3	1	no	—
904	C₂²×C₈	—	3	1	no	—
905	C₂²×C₈	—	3	1	no	—
906	C₂²×C₈	—	3	1	no	—
907	C₂²×C₈	—	3	1	no	—
908	C₂²×C₈	—	3	1	no	—
909	C₂²×C₈	—	3	1	no	—
910	C₂²×C₈	—	3	1	no	—
911	C₂²×C₈	—	3	1	no	—
912	C₂²×C₈	—	3	1	no	—
913	C₂²×C₈	—	3	1	no	—
914	C₂²×C₈	—	3	1	no	—
915	C₄⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
916	C₄⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
917	#126	C₂×Dic₃	1	1	yes	characteristic
918	#126	C₂×Dic₃	1	1	yes	characteristic
919	#126	C₂×Dic₃	1	1	yes	characteristic
920	#126	C₂×Dic₃	1	1	yes	characteristic
921	#126	C₂×Dic₃	1	1	yes	characteristic
922	#126	C₂×Dic₃	1	1	yes	characteristic
923	#126	C₂×Dic₃	1	1	yes	characteristic
924	#126	C₂×Dic₃	1	1	yes	characteristic
925	#126	C₂×Dic₃	1	1	yes	characteristic
926	#126	C₂×Dic₃	1	1	yes	characteristic
927	#126	C₂×Dic₃	1	1	yes	characteristic
928	#126	C₂×Dic₃	1	1	yes	characteristic
929	#125	C₂×Dic₃	1	1	yes	characteristic
930	#125	C₂×Dic₃	1	1	yes	characteristic
931	#125	C₂×Dic₃	1	1	yes	characteristic
932	#125	C₂×Dic₃	1	1	yes	characteristic
933	#125	C₂×Dic₃	1	1	yes	characteristic
934	#125	C₂×Dic₃	1	1	yes	characteristic
935	#125	C₂×Dic₃	1	1	yes	characteristic
936	#125	C₂×Dic₃	1	1	yes	characteristic
937	#124	C₂×Dic₃	1	1	yes	characteristic
938	#124	C₂×Dic₃	1	1	yes	characteristic
939	#124	C₂×Dic₃	1	1	yes	characteristic
940	#124	C₂×Dic₃	1	1	yes	characteristic
941	#124	C₂×Dic₃	1	1	yes	characteristic
942	#124	C₂×Dic₃	1	1	yes	characteristic
943	#123	C₂×Dic₃	1	1	yes	characteristic
944	#123	C₂×Dic₃	1	1	yes	characteristic
945	#123	C₂×Dic₃	1	1	yes	characteristic
946	#123	C₂×Dic₃	1	1	yes	characteristic
947	#123	C₂×Dic₃	1	1	yes	characteristic
948	#123	C₂×Dic₃	1	1	yes	characteristic
949	#123	C₂×Dic₃	1	1	yes	characteristic
950	#123	C₂×Dic₃	1	1	yes	characteristic
951	#123	C₂×Dic₃	1	1	yes	characteristic
952	#123	C₂×Dic₃	1	1	yes	characteristic
953	#123	C₂×Dic₃	1	1	yes	characteristic
954	#123	C₂×Dic₃	1	1	yes	characteristic
955	#123	C₂×Dic₃	1	1	yes	characteristic
956	#123	C₂×Dic₃	1	1	yes	characteristic
957	#123	C₂×Dic₃	1	1	yes	characteristic
958	#123	C₂×Dic₃	1	1	yes	characteristic
959	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
960	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
961	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
962	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
963	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
964	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
965	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
966	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
967	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
968	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
969	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
970	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
971	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
972	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
973	#121	C₂×Dic₃	1	1	yes	characteristic
974	#121	C₂×Dic₃	1	1	yes	characteristic
975	#121	C₂×Dic₃	1	1	yes	characteristic
976	#121	C₂×Dic₃	1	1	yes	characteristic
977	#121	C₂×Dic₃	1	1	yes	characteristic
978	#121	C₂×Dic₃	1	1	yes	characteristic
979	#121	C₂×Dic₃	1	1	yes	characteristic
980	#121	C₂×Dic₃	1	1	yes	characteristic
981	#121	C₂×Dic₃	1	1	yes	characteristic
982	#121	C₂×Dic₃	1	1	yes	characteristic
983	#120	C₂×Dic₃	1	1	yes	characteristic
984	#120	C₂×Dic₃	1	1	yes	characteristic
985	#120	C₂×Dic₃	1	1	yes	characteristic
986	#120	C₂×Dic₃	1	1	yes	characteristic
987	C₄×Q₈	C₂×Dic₃	1	1	yes	characteristic
988	C₄×Q₈	C₂×Dic₃	1	1	yes	characteristic
989	C₄×Q₈	C₂×Dic₃	1	1	yes	characteristic
990	C₄×Q₈	C₂×Dic₃	1	1	yes	characteristic
991	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
992	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
993	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
994	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
995	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
996	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
997	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
998	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
999	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1000	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1001	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1002	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1003	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1004	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1005	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1006	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1007	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1008	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1009	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1010	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
1011	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1012	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1013	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1014	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1015	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1016	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1017	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1018	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1019	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1020	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1021	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1022	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1023	#117	C₂×Dic₃	1	1	yes	characteristic
1024	#117	C₂×Dic₃	1	1	yes	characteristic
1025	#117	C₂×Dic₃	1	1	yes	characteristic
1026	#117	C₂×Dic₃	1	1	yes	characteristic
1027	#117	C₂×Dic₃	1	1	yes	characteristic
1028	#117	C₂×Dic₃	1	1	yes	characteristic
1029	#117	C₂×Dic₃	1	1	yes	characteristic
1030	#117	C₂×Dic₃	1	1	yes	characteristic
1031	#117	C₂×Dic₃	1	1	yes	characteristic
1032	#117	C₂×Dic₃	1	1	yes	characteristic
1033	#117	C₂×Dic₃	1	1	yes	characteristic
1034	#117	C₂×Dic₃	1	1	yes	characteristic
1035	#117	C₂×Dic₃	1	1	yes	characteristic
1036	#117	C₂×Dic₃	1	1	yes	characteristic
1037	#117	C₂²×D₃	1	1	yes	characteristic
1038	#117	C₂²×D₃	1	1	yes	characteristic
1039	#117	C₂²×D₃	1	1	yes	characteristic
1040	#117	C₂²×D₃	1	1	yes	characteristic
1041	#117	C₂²×D₃	1	1	yes	characteristic
1042	#117	C₂²×D₃	1	1	yes	characteristic
1043	#117	C₂²×D₃	1	1	yes	characteristic
1044	#117	C₂²×D₃	1	1	yes	characteristic
1045	#117	C₂²×D₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
1057	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1058	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1059	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1060	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1063	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1064	C₄⋊C₈	—	3	1	no	—
1065	C₄⋊C₈	—	3	1	no	—
1066	C₄⋊C₈	—	3	1	no	—
1067	C₄⋊C₈	—	3	1	no	—
1068	C₄⋊C₈	—	3	1	no	—
1069	C₄⋊C₈	—	3	1	no	—
1070	C₄⋊C₈	—	3	1	no	—
1071	C₄⋊C₈	—	3	1	no	—
1072	C₄⋊C₈	—	3	1	no	—
1073	C₄⋊C₈	—	3	1	no	—
1074	C₄⋊C₈	—	3	1	no	—
1075	C₄⋊C₈	—	3	1	no	—
1076	C₄⋊C₈	—	3	1	no	—
1077	C₄⋊C₈	—	3	1	no	—
1078	C₄⋊C₈	—	3	1	no	—
1079	C₄⋊C₈	—	3	1	no	—
1080	C₄⋊C₈	—	3	1	no	—
1081	C₄⋊C₈	—	3	1	no	—
1082	C₄⋊C₈	—	3	1	no	—
1083	C₄⋊C₈	—	3	1	no	—
1084	C₄⋊C₈	—	3	1	no	—
1085	C₄⋊C₈	—	3	1	no	—
1086	C₄⋊C₈	—	3	1	no	—
1087	C₄⋊C₈	—	3	1	no	—
1088	C₄⋊C₈	—	3	1	no	—
1089	C₄⋊C₈	—	3	1	no	—
1090	C₄⋊C₈	—	3	1	no	—
1091	C₄⋊C₈	—	3	1	no	—
1092	C₄⋊C₈	—	3	1	no	—
1093	C₄⋊C₈	—	3	1	no	—
1094	C₄⋊C₈	—	3	1	no	—
1095	C₄⋊C₈	—	3	1	no	—
1096	C₂²⋊C₈	—	3	1	no	—
1097	C₂²⋊C₈	—	3	1	no	—
1098	C₂²⋊C₈	—	3	1	no	—
1099	C₂²⋊C₈	—	3	1	no	—
1100	C₂²⋊C₈	—	3	1	no	—
1101	C₂²⋊C₈	—	3	1	no	—
1102	C₂²⋊C₈	—	3	1	no	—
1103	C₂²⋊C₈	—	3	1	no	—
1104	C₂²⋊C₈	—	3	1	no	—
1105	C₂²⋊C₈	—	3	1	no	—
1106	C₂²⋊C₈	—	3	1	no	—
1107	C₂²⋊C₈	—	3	1	no	—
1108	C₂²⋊C₈	—	3	1	no	—
1109	C₂²⋊C₈	—	3	1	no	—
1110	C₂²⋊C₈	—	3	1	no	—
1111	C₂²⋊C₈	—	3	1	no	—
1112	C₂²⋊C₈	—	3	1	no	—
1113	C₂²⋊C₈	—	3	1	no	—
1114	C₂²⋊C₈	—	3	1	no	—
1115	C₂²⋊C₈	—	3	1	no	—
1116	C₂²⋊C₈	—	3	1	no	—
1117	C₂²⋊C₈	—	3	1	no	—
1118	C₂²⋊C₈	—	3	1	no	—
1119	C₂²⋊C₈	—	3	1	no	—
1120	C₂²⋊C₈	—	3	1	no	—
1121	C₂²⋊C₈	—	3	1	no	—
1122	C₂²⋊C₈	—	3	1	no	—
1123	C₂²⋊C₈	—	3	1	no	—
1124	C₂²⋊C₈	—	3	1	no	—
1125	C₂²⋊C₈	—	3	1	no	—
1126	C₂²⋊C₈	—	3	1	no	—
1127	C₂²⋊C₈	—	3	1	no	—
1128	#97	—	3	1	no	—
1129	#97	—	3	1	no	—
1130	#97	—	3	1	no	—
1131	#97	—	3	1	no	—
1132	#97	—	3	1	no	—
1133	#97	—	3	1	no	—
1134	#97	—	3	1	no	—
1135	#97	—	3	1	no	—
1136	#97	—	3	1	no	—
1137	#97	—	3	1	no	—
1138	#97	—	3	1	no	—
1139	#97	—	3	1	no	—
1140	#97	—	3	1	no	—
1141	#97	—	3	1	no	—
1142	#97	—	3	1	no	—
1143	#97	—	3	1	no	—
1144	#97	—	3	1	no	—
1145	#97	—	3	1	no	—
1146	C₄×C₈	—	3	1	no	—
1147	C₄×C₈	—	3	1	no	—
1148	C₄×C₈	—	3	1	no	—
1149	C₄×C₈	—	3	1	no	—
1150	C₄×C₈	—	3	1	no	—
1151	C₄×C₈	—	3	1	no	—
1152	C₄×C₈	—	3	1	no	—
1153	C₄×C₈	—	3	1	no	—
1154	C₄×C₈	—	3	1	no	—
1155	C₄×C₈	—	3	1	no	—
1156	C₄×C₈	—	3	1	no	—
1157	C₄×C₈	—	3	1	no	—
1158	C₄×C₈	—	3	1	no	—
1159	C₄×C₈	—	3	1	no	—
1160	C₂³×C₃	—	2	2	no	—
1161	C₂³×C₃	—	4	1	no	—
1162	C₂³×C₃	—	4	1	no	—
1163	C₂³×C₃	—	4	1	no	—
1164	C₂³×C₃	—	4	1	no	—
1165	C₂³×C₃	—	4	1	no	—
1166	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1167	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1168	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1169	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1170	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1171	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1172	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1173	C₃×Q₈	—	4	1	no	—
1174	C₃×Q₈	—	4	1	no	—
1175	C₃×Q₈	—	4	1	no	—
1176	C₃×Q₈	—	4	1	no	—
1177	C₃×Q₈	—	4	1	no	—
1178	C₃×D₄	—	2	2	no	—
1179	C₃×D₄	—	2	2	no	—
1180	C₃×D₄	—	2	2	no	—
1181	C₃×D₄	—	2	2	no	—
1182	C₃×D₄	—	4	1	no	—
1183	C₃×D₄	—	4	1	no	—
1184	C₃×D₄	—	4	1	no	—
1185	C₃×D₄	—	4	1	no	—
1186	C₃×D₄	—	4	1	no	—
1187	C₃×D₄	—	4	1	no	—
1188	C₃×D₄	—	4	1	no	—
1189	C₃×D₄	—	4	1	no	—
1190	C₃×D₄	—	4	1	no	—
1191	C₃×D₄	—	4	1	no	—
1192	C₃×D₄	—	4	1	no	—
1193	C₂×C₃×C₄	—	2	2	no	—
1194	C₂×C₃×C₄	—	2	2	no	—
1195	C₂×C₃×C₄	—	2	1	no	—
1196	C₂×C₃×C₄	—	2	1	no	—
1197	C₂×C₃×C₄	—	2	1	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	—	2	1	no	—
1205	C₂×C₃×C₄	—	2	1	no	—
1206	C₂×C₃×C₄	—	2	1	no	—
1207	C₂×C₃×C₄	—	2	1	no	—
1208	C₂×C₃×C₄	—	2	1	no	—
1209	C₂×C₃×C₄	—	4	1	no	—
1210	C₂×C₃×C₄	—	4	1	no	—
1211	C₂×C₃×C₄	—	4	1	no	—
1212	C₂×C₃×C₄	—	4	1	no	—
1213	C₂×C₃×C₄	—	4	1	no	—
1214	C₂×C₃×C₄	—	4	1	no	—
1215	C₂×C₃×C₄	—	4	1	no	—
1216	C₂×C₃×C₄	—	4	1	no	—
1217	C₂×C₃×C₄	—	4	1	no	—
1218	C₂×C₃×C₄	—	4	1	no	—
1219	C₂×C₃×C₄	—	4	1	no	—
1220	C₂×C₃×C₄	—	4	1	no	—
1221	C₂×C₃×C₄	—	4	1	no	—
1222	C₂×C₃×C₄	—	4	1	no	—
1223	C₂×C₃×C₄	—	4	1	no	—
1224	C₂×C₃×C₄	—	4	1	no	—
1225	C₂×C₃×C₄	—	4	1	no	—
1226	C₂×C₃×C₄	—	4	1	no	—
1227	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1228	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1229	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1230	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1231	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1232	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1233	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1234	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1235	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
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	C₂³×C₄	1	1	yes	characteristic
1246	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1247	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1248	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1249	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1250	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1251	C₃⋊C₈	—	2	1	no	—
1252	C₃⋊C₈	—	2	1	no	—
1253	C₃⋊C₈	—	2	1	no	—
1254	C₃⋊C₈	—	2	1	no	—
1255	C₃⋊C₈	—	2	1	no	—
1256	C₃⋊C₈	—	2	1	no	—
1257	C₃⋊C₈	—	2	1	no	—
1258	C₃⋊C₈	—	2	1	no	—
1259	C₃⋊C₈	—	2	1	no	—
1260	C₃⋊C₈	—	2	1	no	—
1261	C₃⋊C₈	—	2	1	no	—
1262	C₃⋊C₈	—	2	1	no	—
1263	C₃⋊C₈	—	2	1	no	—
1264	C₃⋊C₈	—	2	1	no	—
1265	C₃⋊C₈	—	2	1	no	—
1266	C₃⋊C₈	—	2	1	no	—
1267	C₂⁴	C₂²×Dic₃	1	1	yes	characteristic
1268	C₂⁴	C₂²×Dic₃	1	1	yes	characteristic
1269	#41	—	4	1	no	—
1270	#41	—	4	1	no	—
1271	#41	—	4	2	no	—
1272	#41	—	4	2	no	—
1273	C₂×Q₈	C₂²×Dic₃	1	1	yes	characteristic
1274	C₂×Q₈	C₂²×Dic₃	1	1	yes	characteristic
1275	C₂×Q₈	C₂²×Dic₃	1	1	yes	characteristic
1276	C₂×Q₈	C₂²×Dic₃	1	1	yes	characteristic
1277	C₂×Q₈	C₂²×Dic₃	1	1	yes	characteristic
1278	C₂×D₄	—	4	2	no	—
1279	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1280	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1281	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1282	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1283	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1284	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1285	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1286	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1287	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1288	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1289	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1290	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1291	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1292	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1293	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
1294	C₂²×C₄	—	4	1	no	—
1295	C₂²×C₄	—	4	1	no	—
1296	C₂²×C₄	—	4	1	no	—
1297	C₂²×C₄	—	4	1	no	—
1298	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1299	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1300	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1301	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1302	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1303	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1304	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1305	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1306	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1307	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1308	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1309	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1310	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1311	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1312	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1313	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1314	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1315	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1316	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1317	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
1318	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1319	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1320	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1321	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1325	M₁₆	—	12	1	no	—
1326	M₁₆	—	12	1	no	—
1327	M₁₆	—	12	1	no	—
1328	M₁₆	—	12	1	no	—
1329	M₁₆	—	12	1	no	—
1330	M₁₆	—	12	1	no	—
1331	M₁₆	—	12	1	no	—
1332	M₁₆	—	12	1	no	—
1333	M₁₆	—	12	1	no	—
1334	M₁₆	—	12	1	no	—
1335	M₁₆	—	12	1	no	—
1336	M₁₆	—	12	1	no	—
1337	C₂×C₈	—	3	1	no	—
1338	C₂×C₈	—	3	1	no	—
1339	C₂×C₈	—	3	1	no	—
1340	C₂×C₈	—	3	1	no	—
1341	C₂×C₈	—	3	1	no	—
1342	C₂×C₈	—	3	1	no	—
1343	C₂×C₈	—	3	1	no	—
1344	C₂×C₈	—	3	1	no	—
1345	C₂×C₈	—	3	1	no	—
1346	C₂×C₈	—	3	1	no	—
1347	C₂×C₈	—	3	1	no	—
1348	C₂×C₈	—	3	1	no	—
1349	C₂×C₈	—	3	1	no	—
1350	C₂×C₈	—	3	1	no	—
1351	C₂×C₈	—	3	1	no	—
1352	C₂×C₈	—	3	1	no	—
1353	C₂×C₈	—	12	1	no	—
1354	C₂×C₈	—	12	1	no	—
1355	C₂×C₈	—	12	1	no	—
1356	C₂×C₈	—	12	1	no	—
1357	C₂×C₈	—	12	1	no	—
1358	C₂×C₈	—	12	1	no	—
1359	C₂×C₈	—	12	1	no	—
1360	C₂×C₈	—	12	1	no	—
1361	C₂×C₈	—	12	1	no	—
1362	C₂×C₈	—	12	1	no	—
1363	C₂×C₈	—	12	1	no	—
1364	C₂×C₈	—	12	1	no	—
1365	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1366	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1367	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1368	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1369	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1370	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1371	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1372	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1373	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1374	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1375	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1376	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1377	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1378	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1379	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1380	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1381	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1382	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1383	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1384	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1385	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1386	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1387	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1388	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1389	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1390	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1391	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1392	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1393	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1394	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1395	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1396	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1397	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1398	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1399	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1400	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1401	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1402	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1403	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1404	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1405	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1406	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1407	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1408	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1409	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1410	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1411	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1412	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1413	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1414	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1415	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1416	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1417	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1418	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1419	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1420	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1421	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1422	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1423	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1424	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1425	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1426	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1427	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1428	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1429	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1430	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1431	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1432	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1433	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1434	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1435	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1436	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1437	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1438	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1439	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1440	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1441	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1442	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1443	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1444	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1446	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1447	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1448	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
1449	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1450	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1451	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1452	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1453	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1454	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1455	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1456	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1457	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1458	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1459	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1460	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1461	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1462	C₄²	C₂²×Dic₃	1	1	yes	characteristic
1463	C₄²	C₂³×D₃	1	1	yes	characteristic
1464	C₄²	C₂³×D₃	1	1	yes	characteristic
1465	C₄²	C₂³×D₃	1	1	yes	characteristic
1466	C₄²	C₂³×D₃	1	1	yes	characteristic
1467	C₄²	C₂³×D₃	1	1	yes	characteristic
1468	C₄²	C₂³×D₃	1	1	yes	characteristic
1469	C₄²	C₂³×D₃	1	1	yes	characteristic
1470	C₄²	C₂³×D₃	1	1	yes	characteristic
1471	C₂²×C₃	—	2	1	no	—
1472	C₂²×C₃	—	2	1	no	—
1473	C₂²×C₃	—	2	1	no	—
1474	C₂²×C₃	—	2	1	no	—
1475	C₂²×C₃	—	2	1	no	—
1476	C₂²×C₃	—	2	1	no	—
1477	C₂²×C₃	—	2	1	no	—
1478	C₂²×C₃	—	2	1	no	—
1479	C₂²×C₃	—	2	1	no	—
1480	C₂²×C₃	—	2	1	no	—
1481	C₂²×C₃	—	2	1	no	—
1482	C₂²×C₃	—	2	1	no	—
1483	C₂²×C₃	—	2	1	no	—
1484	C₂²×C₃	—	2	1	no	—
1485	C₂²×C₃	—	2	1	no	—
1486	C₂²×C₃	—	2	1	no	—
1487	C₂²×C₃	—	2	1	no	—
1488	C₂²×C₃	—	2	1	no	—
1489	C₂²×C₃	—	2	1	no	—
1490	C₂²×C₃	—	2	1	no	—
1491	C₂²×C₃	—	8	2	no	—
1492	C₂²×C₃	—	8	2	no	—
1493	C₂²×C₃	#568	1	2	yes	—
1494	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1495	C₃×C₄	—	2	1	no	—
1496	C₃×C₄	—	2	1	no	—
1497	C₃×C₄	—	2	1	no	—
1498	C₃×C₄	—	2	1	no	—
1499	C₃×C₄	—	2	1	no	—
1500	C₃×C₄	—	2	1	no	—
1501	C₃×C₄	—	2	1	no	—
1502	C₃×C₄	—	2	1	no	—
1503	C₃×C₄	—	2	1	no	—
1504	C₃×C₄	—	2	1	no	—
1505	C₃×C₄	—	2	1	no	—
1506	C₃×C₄	—	2	1	no	—
1507	C₃×C₄	—	2	1	no	—
1508	C₃×C₄	—	2	1	no	—
1509	C₃×C₄	—	2	1	no	—
1510	C₃×C₄	—	2	1	no	—
1511	C₃×C₄	—	2	1	no	—
1512	C₃×C₄	—	2	1	no	—
1513	C₃×C₄	—	2	1	no	—
1514	C₃×C₄	—	2	1	no	—
1515	C₃×C₄	—	2	1	no	—
1516	C₃×C₄	—	2	1	no	—
1517	C₃×C₄	—	2	1	no	—
1518	C₃×C₄	#585	1	1	yes	characteristic
1519	C₃×C₄	#585	1	1	yes	characteristic
1520	C₂³	—	2	2	no	—
1521	C₂³	—	4	1	no	—
1522	C₂³	—	4	1	no	—
1523	C₂³	—	4	1	no	—
1524	C₂³	—	4	1	no	—
1525	C₂³	—	4	1	no	—
1526	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1527	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1528	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1529	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1530	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1531	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1532	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1533	Q₈	—	4	1	no	—
1534	Q₈	—	4	1	no	—
1535	Q₈	—	4	1	no	—
1536	Q₈	—	4	1	no	—
1537	Q₈	—	4	1	no	—
1538	D₄	—	2	2	no	—
1539	D₄	—	2	2	no	—
1540	D₄	—	2	2	no	—
1541	D₄	—	2	2	no	—
1542	D₄	—	4	1	no	—
1543	D₄	—	4	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	1	no	—
1546	D₄	—	4	1	no	—
1547	D₄	—	4	1	no	—
1548	D₄	—	4	1	no	—
1549	D₄	—	4	1	no	—
1550	D₄	—	4	1	no	—
1551	D₄	—	4	1	no	—
1552	D₄	—	4	1	no	—
1553	C₂×C₄	—	2	2	no	—
1554	C₂×C₄	—	2	2	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	4	1	no	—
1570	C₂×C₄	—	4	1	no	—
1571	C₂×C₄	—	4	1	no	—
1572	C₂×C₄	—	4	1	no	—
1573	C₂×C₄	—	4	1	no	—
1574	C₂×C₄	—	4	1	no	—
1575	C₂×C₄	—	4	1	no	—
1576	C₂×C₄	—	4	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	4	1	no	—
1580	C₂×C₄	—	4	1	no	—
1581	C₂×C₄	—	4	1	no	—
1582	C₂×C₄	—	4	1	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	1	no	—
1585	C₂×C₄	—	4	1	no	—
1586	C₂×C₄	—	4	1	no	—
1587	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1588	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1589	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1590	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1591	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1592	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1593	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1594	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1595	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1596	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1597	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1598	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1599	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1600	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1601	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1602	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1603	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1604	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1605	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1606	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1607	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1608	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1609	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1610	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1611	C₈	—	6	1	no	—
1612	C₈	—	6	1	no	—
1613	C₈	—	6	1	no	—
1614	C₈	—	6	1	no	—
1615	C₈	—	6	1	no	—
1616	C₈	—	6	1	no	—
1617	C₈	—	6	1	no	—
1618	C₈	—	6	1	no	—
1619	C₈	—	6	1	no	—
1620	C₈	—	6	1	no	—
1621	C₈	—	6	1	no	—
1622	C₈	—	6	1	no	—
1623	C₈	—	6	1	no	—
1624	C₈	—	6	1	no	—
1625	C₈	—	6	1	no	—
1626	C₈	—	6	1	no	—
1627	C₂×C₃	—	2	2	no	—
1628	C₂×C₃	—	4	1	no	—
1629	C₂×C₃	—	4	1	no	—
1630	C₂×C₃	—	4	1	no	—
1631	C₂×C₃	—	4	1	no	—
1632	C₂×C₃	—	4	1	no	—
1633	C₂×C₃	—	4	1	no	—
1634	C₂×C₃	#3428	1	1	yes	characteristic
1635	C₂×C₃	C₂×#568	1	1	yes	characteristic
1636	C₂×C₃	#3573	1	1	yes	characteristic
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	8	2	no	—
1658	C₂²	—	8	2	no	—
1659	C₂²	#5819	1	2	yes	—
1660	C₂²	C₂⁴×Dic₃	1	1	yes	characteristic
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	#5964	1	1	yes	characteristic
1685	C₄	#5964	1	1	yes	characteristic
1686	C₃	#60299	1	1	yes	characteristic, complemented, Sylow
1687	C₂	—	2	2	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	4	1	no	—
1691	C₂	—	4	1	no	—
1692	C₂	—	4	1	no	—
1693	C₂	—	4	1	no	—
1694	C₂	C₂×#5819	1	1	yes	characteristic
1695	C₂	#87260	1	1	yes	characteristic
1696	C₂	#87296	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting, prime radical	C₃×#3475	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#3475	D₃
hypocenter	C₃	#60299
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
2. #83333	C₂	semidirect
3. #83331	C₂	semidirect
4. #83133	C₂	semidirect
5. #83133	C₂	semidirect
6. #83132	C₂	semidirect
7. #83131	C₂	semidirect
8. #83130	C₂	semidirect
9. #83130	C₂	semidirect
10. #83129	C₂	semidirect
11. #83128	C₂	semidirect
12. #83128	C₂	semidirect
13. #83127	C₂	semidirect
14. #83127	C₂	semidirect
15. #83126	C₂	semidirect
16. #82921	C₂	semidirect
17. #82920	C₂	semidirect
18. #82919	C₂	semidirect
19. #82919	C₂	semidirect
20. #82522	C₂	semidirect
21. #82521	C₂	semidirect
22. #82518	C₂	semidirect
23. #82517	C₂	semidirect
24. #82515	C₂	semidirect
25. #82514	C₂	semidirect
26. #82303	C₂	semidirect
27. #82302	C₂	semidirect
28. #82210	C₂	semidirect
29. #82210	C₂	semidirect
30. #82209	C₂	semidirect
31. C₂×#5000	C₂	semidirect
76. #5024	C₂²	semidirect
77. #5024	C₂²	semidirect
78. #5024	C₂²	semidirect
79. #5024	C₂²	semidirect
80. #5024	C₂²	semidirect
81. #5024	C₂²	semidirect
82. #5024	C₂²	semidirect
83. #5024	C₂²	semidirect
84. #5024	C₂²	semidirect
85. #5024	C₂²	semidirect
86. #5024	C₂²	semidirect
87. #5024	C₂²	semidirect
88. #5024	C₂²	semidirect
89. #5024	C₂²	semidirect
90. Q₈×C₃⋊C₈	C₂²	semidirect
91. Q₈×C₃⋊C₈	C₂²	semidirect
94. #5012	C₂²	semidirect
95. #5012	C₂²	semidirect
96. #5012	C₂²	semidirect
97. #5012	C₂²	semidirect
98. #5012	C₂²	semidirect
99. #5012	C₂²	semidirect
100. #5012	C₂²	semidirect
101. #5012	C₂²	semidirect
114. #5011	C₂²	semidirect
115. #5011	C₂²	semidirect
116. #5011	C₂²	semidirect
117. #5011	C₂²	semidirect
118. #5011	C₂²	semidirect
119. #5011	C₂²	semidirect
120. #5011	C₂²	semidirect
121. #5011	C₂²	semidirect
122. #5011	C₂²	semidirect
123. #5011	C₂²	semidirect
124. #5011	C₂²	semidirect
125. #5011	C₂²	semidirect
126. #5011	C₂²	semidirect
127. #5011	C₂²	semidirect
128. #5011	C₂²	semidirect
129. #5011	C₂²	semidirect
132. D₄×C₃⋊C₈	C₂²	semidirect
133. D₄×C₃⋊C₈	C₂²	semidirect
134. D₄×C₃⋊C₈	C₂²	semidirect
135. D₄×C₃⋊C₈	C₂²	semidirect
136. D₄×C₃⋊C₈	C₂²	semidirect
137. D₄×C₃⋊C₈	C₂²	semidirect
138. D₄×C₃⋊C₈	C₂²	semidirect
139. D₄×C₃⋊C₈	C₂²	semidirect
152. #5000	C₂²	semidirect
153. #5000	C₂²	semidirect
154. #5000	C₂²	semidirect
155. #5000	C₂²	semidirect
156. #5000	C₂²	semidirect
157. #5000	C₂²	semidirect
158. #5000	C₂²	semidirect
159. #5000	C₂²	semidirect
160. #5000	C₂²	semidirect
161. #5000	C₂²	semidirect
162. #5000	C₂²	semidirect
163. #5000	C₂²	semidirect
164. #4999	C₂²	semidirect
165. #4999	C₂²	semidirect
166. #4999	C₂²	semidirect
167. #4999	C₂²	semidirect
168. #4999	C₂²	semidirect
169. #4999	C₂²	semidirect
170. #4997	C₂²	semidirect
171. #4997	C₂²	semidirect
172. #4997	C₂²	semidirect
173. #4997	C₂²	semidirect
174. #4997	C₂²	semidirect
175. #4997	C₂²	semidirect
179. #4926	C₂²	semidirect
180. #4926	C₂²	semidirect
181. #4926	C₂²	semidirect
182. #4926	C₂²	semidirect
183. #4926	C₂²	semidirect
184. #4926	C₂²	semidirect
185. #4926	C₂²	semidirect
187. #4925	C₂²	semidirect
188. #4925	C₂²	semidirect
189. #4925	C₂²	semidirect
190. #4925	C₂²	semidirect
191. #4925	C₂²	semidirect
192. #4924	C₂²	semidirect
193. #4924	C₂²	semidirect
194. #4924	C₂²	semidirect
195. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
196. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
197. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
198. C₄×#208	C₂²	semidirect
199. C₄×#208	C₂²	semidirect
200. C₄×#208	C₂²	semidirect
201. C₂×#803	C₂²	semidirect
202. C₂×#803	C₂²	semidirect
203. C₂×C₄×C₃⋊C₈	C₂²	semidirect
1686. C₃	#60299	semidirect

Maximal subgroups

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

subgroup	index
C₃×#3475	2
#83333	2
#83331	2
#83133	2
#83132	2
#83131	2
#83130	2
#83129	2
#83128	2
#83127	2
#83126	2
#82921	2
#82920	2
#82919	2
#82522	2
#82521	2
#82518	2
#82517	2
#82515	2
#82514	2
#82303	2
#82302	2
#82210	2
#82209	2
C₂×#5000	2
#60299	3