Subgroups — C₃×#62926 #10681533

Order 768.

6566 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3565	C₂	1	4	yes	maximal, complemented
2	C₃×#3559	C₂	1	4	yes	maximal, complemented
3	C₃×#3557	C₂	1	4	yes	maximal, complemented
4	C₃×#3555	C₂	1	2	yes	maximal, complemented
5	C₃×#3554	C₂	1	4	yes	maximal, complemented
6	C₃×#3548	C₂	1	2	yes	maximal, complemented
7	C₃×#3547	C₂	1	2	yes	maximal, complemented
8	C₃×#3544	C₂	1	2	yes	maximal, complemented
9	C₃×#3541	C₂	1	8	yes	maximal, complemented
10	C₃×#3541	C₂	1	4	yes	maximal, complemented
11	C₃×#3522	C₂	1	2	yes	maximal, complemented
12	C₃×#3515	C₂	1	2	yes	maximal, complemented
13	C₃×#3512	C₂	1	2	yes	maximal, complemented
14	C₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3511	C₂	1	2	yes	maximal, complemented
16	C₃×#3507	C₂	1	2	yes	maximal, complemented
17	C₃×#3506	C₂	1	2	yes	maximal, complemented
18	C₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3504	C₂	1	2	yes	maximal, complemented
20	C₃×#3503	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3492	C₂	1	4	yes	maximal, complemented
22	C₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×Q₈×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3460	C₂	1	2	yes	maximal, complemented
27	#62926	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
28	C₃×#563	C₂²	1	8	yes	complemented
29	C₃×#563	C₂²	1	8	yes	complemented
30	C₃×#563	C₂²	1	8	yes	complemented
31	C₃×#562	C₂²	1	8	yes	complemented
32	C₃×#562	C₂²	1	8	yes	complemented
33	C₃×#562	C₂²	1	8	yes	complemented
34	C₃×#559	C₂²	1	4	yes	—
35	C₃×#559	C₂²	1	4	yes	—
36	C₃×#559	C₂²	1	4	yes	—
37	C₃×#559	C₂²	1	1	yes	characteristic, complemented
38	C₃×#559	C₂²	1	2	yes	complemented
39	C₃×Q₈²	C₂²	1	1	yes	characteristic, complemented
40	C₃×Q₈²	C₂²	1	2	yes	complemented
41	C₃×#557	C₂²	1	1	yes	characteristic, complemented
42	C₃×#557	C₂²	1	2	yes	complemented
43	C₃×#557	C₂²	1	1	yes	characteristic, complemented
44	C₃×#557	C₂²	1	2	yes	complemented
45	C₃×#557	C₂²	1	4	yes	complemented
46	C₃×#557	C₂²	1	4	yes	complemented
47	C₃×#556	C₂²	1	2	yes	—
48	C₃×#556	C₂²	1	4	yes	—
49	C₃×#556	C₂²	1	1	yes	characteristic, complemented
50	C₃×#556	C₂²	1	2	yes	complemented
51	C₃×#556	C₂²	1	8	yes	complemented
52	C₃×#556	C₂²	1	4	yes	complemented
53	C₃×#556	C₂²	1	2	yes	complemented
54	C₃×#555	C₂²	1	2	yes	—
55	C₃×#555	C₂²	1	4	yes	—
56	C₃×#555	C₂²	1	2	yes	complemented
57	C₃×#554	C₂²	1	2	yes	—
58	C₃×#554	C₂²	1	2	yes	—
59	C₃×#554	C₂²	1	2	yes	—
60	C₃×#554	C₂²	1	2	yes	—
61	C₃×#554	C₂²	1	4	yes	—
62	C₃×#554	C₂²	1	4	yes	—
63	C₃×#554	C₂²	1	2	yes	—
64	C₃×#554	C₂²	1	4	yes	—
65	C₃×#554	C₂²	1	4	yes	—
66	C₃×#554	C₂²	1	8	yes	—
67	C₃×#554	C₂²	1	8	yes	—
68	C₃×#554	C₂²	1	1	yes	characteristic, complemented
69	C₃×#554	C₂²	1	2	yes	complemented
70	C₃×#554	C₂²	1	2	yes	complemented
71	C₃×#554	C₂²	1	4	yes	complemented
72	C₃×#554	C₂²	1	4	yes	complemented
73	C₃×#554	C₂²	1	2	yes	complemented
74	C₃×#553	C₂²	1	2	yes	—
75	C₃×#553	C₂²	1	4	yes	—
76	C₃×#553	C₂²	1	4	yes	—
77	C₃×#553	C₂²	1	8	yes	—
78	C₃×#553	C₂²	1	4	yes	—
79	C₃×#553	C₂²	1	4	yes	—
80	C₃×#553	C₂²	1	4	yes	—
81	C₃×#553	C₂²	1	8	yes	—
82	C₃×#553	C₂²	1	4	yes	complemented
83	C₃×#553	C₂²	1	4	yes	complemented
84	C₃×#552	C₂²	1	4	yes	complemented
85	C₃×#552	C₂²	1	4	yes	complemented
86	C₃×#552	C₂²	1	8	yes	complemented
87	C₃×#552	C₂²	1	4	yes	complemented
88	C₃×#552	C₂²	1	4	yes	complemented
89	C₃×#552	C₂²	1	4	yes	complemented
90	C₃×#552	C₂²	1	8	yes	complemented
91	C₃×#550	C₂²	1	2	yes	—
92	C₃×#550	C₂²	1	4	yes	—
93	C₃×#550	C₂²	1	1	yes	characteristic, complemented
94	C₃×D₄×Q₈	C₂²	1	2	yes	—
95	C₃×D₄×Q₈	C₂²	1	4	yes	—
96	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
97	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
98	C₃×#548	C₂²	1	2	yes	—
99	C₃×#548	C₂²	1	4	yes	—
100	C₃×#548	C₂²	1	8	yes	complemented
101	C₃×#548	C₂²	1	4	yes	complemented
102	C₃×#547	C₂²	1	2	yes	—
103	C₃×#547	C₂²	1	4	yes	—
104	C₃×#547	C₂²	1	4	yes	complemented
105	C₃×#547	C₂²	1	4	yes	complemented
106	C₃×#547	C₂²	1	8	yes	complemented
107	C₃×#547	C₂²	1	2	yes	complemented
108	C₃×#547	C₂²	1	4	yes	complemented
109	C₃×#547	C₂²	1	8	yes	complemented
110	C₃×#544	C₂²	1	2	yes	—
111	C₃×#544	C₂²	1	1	yes	characteristic
112	C₃×#544	C₂²	1	4	yes	complemented
113	C₃×#544	C₂²	1	4	yes	complemented
114	C₃×#544	C₂²	1	4	yes	complemented
115	C₃×#544	C₂²	1	4	yes	complemented
116	C₃×#542	C₂²	1	4	yes	—
117	C₃×#542	C₂²	1	4	yes	—
118	C₃×#542	C₂²	1	2	yes	—
119	C₃×#542	C₂²	1	2	yes	—
120	C₃×#542	C₂²	1	8	yes	complemented
121	C₃×#542	C₂²	1	4	yes	complemented
122	C₃×#542	C₂²	1	4	yes	complemented
123	C₃×#542	C₂²	1	8	yes	complemented
124	C₃×#542	C₂²	1	8	yes	complemented
125	C₃×#542	C₂²	1	8	yes	complemented
126	C₃×#541	C₂²	1	4	yes	complemented
127	C₃×#541	C₂²	1	4	yes	complemented
128	C₃×#541	C₂²	1	8	yes	complemented
129	C₃×#540	C₂²	1	4	yes	—
130	C₃×#540	C₂²	1	4	yes	—
131	C₃×#540	C₂²	1	2	yes	—
132	C₃×#540	C₂²	1	2	yes	—
133	C₃×#540	C₂²	1	4	yes	complemented
134	C₃×#539	C₂²	1	8	yes	complemented
135	C₃×#539	C₂²	1	8	yes	complemented
136	C₃×#539	C₂²	1	8	yes	complemented
137	C₃×#539	C₂²	1	8	yes	complemented
138	C₃×#539	C₂²	1	8	yes	complemented
139	C₃×#538	C₂²	1	4	yes	—
140	C₃×#538	C₂²	1	8	yes	—
141	C₃×#538	C₂²	1	8	yes	—
142	C₃×#538	C₂²	1	4	yes	—
143	C₃×#537	C₂²	1	2	yes	—
144	C₃×#537	C₂²	1	1	yes	characteristic
145	C₃×#537	C₂²	1	4	yes	complemented
146	C₃×#537	C₂²	1	4	yes	complemented
147	C₃×#537	C₂²	1	8	yes	complemented
148	C₃×#536	C₂²	1	4	yes	complemented
149	C₃×#536	C₂²	1	8	yes	complemented
150	C₃×#535	C₂²	1	1	yes	characteristic
151	C₃×#535	C₂²	1	1	yes	characteristic
152	C₃×#535	C₂²	1	2	yes	—
153	C₃×#533	C₂²	1	1	yes	characteristic
154	C₃×#533	C₂²	1	2	yes	—
155	C₃×#533	C₂²	1	2	yes	complemented
156	C₃×#533	C₂²	1	4	yes	complemented
157	C₃×#533	C₂²	1	2	yes	complemented
158	C₃×#533	C₂²	1	4	yes	complemented
159	C₃×#533	C₂²	1	2	yes	complemented
160	C₃×#532	C₂²	1	2	yes	—
161	C₃×#532	C₂²	1	2	yes	—
162	C₃×#532	C₂²	1	4	yes	—
163	C₃×#532	C₂²	1	4	yes	—
164	C₃×#532	C₂²	1	1	yes	characteristic
165	C₃×#532	C₂²	1	2	yes	—
166	C₃×#532	C₂²	1	2	yes	complemented
167	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
168	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
169	C₃×#529	C₂²	1	4	yes	—
170	C₃×#529	C₂²	1	2	yes	—
171	C₃×#529	C₂²	1	4	yes	—
172	C₃×#529	C₂²	1	2	yes	—
173	C₃×#529	C₂²	1	2	yes	complemented
174	C₃×#529	C₂²	1	4	yes	complemented
175	C₃×#529	C₂²	1	4	yes	complemented
176	C₃×#529	C₂²	1	4	yes	complemented
177	C₂×C₃×#125	C₂²	1	2	yes	—
178	C₂×C₃×#125	C₂²	1	4	yes	complemented
179	C₃×#525	C₂²	1	4	yes	—
180	C₃×#525	C₂²	1	8	yes	—
181	C₃×#525	C₂²	1	4	yes	—
182	C₃×#525	C₂²	1	8	yes	—
183	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	—
184	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	—
185	C₃×#520	C₂²	1	2	yes	—
186	C₃×#520	C₂²	1	2	yes	—
187	C₃×#520	C₂²	1	2	yes	—
188	C₃×#520	C₂²	1	4	yes	complemented
189	C₃×#520	C₂²	1	4	yes	complemented
190	C₃×C₄×#41	C₂²	1	1	yes	characteristic
191	C₃×C₄×#41	C₂²	1	2	yes	—
192	C₃×C₄×#41	C₂²	1	1	yes	characteristic
193	C₃×C₄×#41	C₂²	1	2	yes	—
194	C₃×C₄×#41	C₂²	1	2	yes	complemented
195	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
196	C₂×C₃×C₄×Q₈	C₂²	1	2	yes	complemented
197	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
198	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
199	C₂²×C₃×C₄⋊C₄	C₂²	1	2	yes	—
200	#3565	C₂×C₃	1	4	yes	complemented
201	#3559	C₂×C₃	1	4	yes	complemented
202	#3557	C₂×C₃	1	4	yes	complemented
203	#3555	C₂×C₃	1	2	yes	complemented
204	#3554	C₂×C₃	1	4	yes	complemented
205	#3548	C₂×C₃	1	2	yes	complemented
206	#3547	C₂×C₃	1	2	yes	complemented
207	#3544	C₂×C₃	1	2	yes	complemented
208	#3541	C₂×C₃	1	4	yes	complemented
209	#3541	C₂×C₃	1	8	yes	complemented
210	#3522	C₂×C₃	1	2	yes	complemented
211	#3515	C₂×C₃	1	2	yes	complemented
212	#3512	C₂×C₃	1	2	yes	complemented
213	#3511	C₂×C₃	1	1	yes	characteristic, complemented
214	#3511	C₂×C₃	1	2	yes	complemented
215	#3507	C₂×C₃	1	2	yes	complemented
216	#3506	C₂×C₃	1	2	yes	complemented
217	#3506	C₂×C₃	1	1	yes	characteristic, complemented
218	#3504	C₂×C₃	1	2	yes	complemented
219	#3503	C₂×C₃	1	1	yes	characteristic, complemented
220	#3492	C₂×C₃	1	4	yes	complemented
221	#3480	C₂×C₃	1	1	yes	characteristic, complemented
222	Q₈×#41	C₂×C₃	1	1	yes	characteristic, complemented
223	C₂×#554	C₂×C₃	1	1	yes	characteristic, complemented
224	#3460	C₂×C₃	1	1	yes	characteristic, complemented
225	#3460	C₂×C₃	1	2	yes	complemented
226	C₂×C₃×#41	C₂³	1	1	yes	characteristic
227	C₂×C₃×#41	C₂³	1	1	yes	characteristic
228	C₂×C₃×#41	C₂³	1	2	yes	—
229	C₂×C₃×#41	C₂³	1	2	yes	—
230	C₂×C₃×#41	C₂³	1	4	yes	—
231	C₂×C₃×#41	C₂³	1	4	yes	—
232	C₂×C₃×#41	C₂³	1	8	yes	—
233	C₂×C₃×#41	C₂³	1	8	yes	—
234	C₂×C₃×#41	C₂³	1	4	yes	—
235	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
236	C₂²×C₃×Q₈	C₂³	1	2	yes	—
237	C₂²×C₃×Q₈	C₂³	1	2	yes	—
238	C₂²×C₃×Q₈	C₂³	1	4	yes	—
239	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
240	C₂³×C₃×C₄	C₂³	1	2	yes	—
241	C₂³×C₃×C₄	C₂³	1	4	yes	—
242	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
243	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
244	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
245	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
246	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
247	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
248	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
249	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
250	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
251	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
252	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
253	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
254	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
255	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
256	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
257	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
258	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
259	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
260	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
261	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
262	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
263	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
264	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
265	C₃×#127	C₂³	1	4	yes	—
266	C₃×#127	C₂³	1	2	yes	—
267	C₃×#127	C₂³	1	1	yes	characteristic
268	C₃×#127	C₂³	1	2	yes	—
269	C₃×#127	C₂³	1	2	yes	—
270	C₃×#126	C₂³	1	4	yes	—
271	C₃×#126	C₂³	1	8	yes	—
272	C₃×#126	C₂³	1	8	yes	—
273	C₃×#126	C₂³	1	4	yes	—
274	C₃×#126	C₂³	1	8	yes	—
275	C₃×#126	C₂³	1	8	yes	—
276	C₃×#126	C₂³	1	8	yes	—
277	C₃×#126	C₂³	1	8	yes	—
278	C₃×#126	C₂³	1	8	yes	—
279	C₃×#126	C₂³	1	8	yes	—
280	C₃×#126	C₂³	1	8	yes	—
281	C₃×#126	C₂³	1	4	yes	—
282	C₃×#126	C₂³	1	4	yes	—
283	C₃×#126	C₂³	1	8	yes	—
284	C₃×#126	C₂³	1	4	yes	—
285	C₃×#125	C₂³	1	4	yes	—
286	C₃×#125	C₂³	1	8	yes	—
287	C₃×#125	C₂³	1	8	yes	—
288	C₃×#125	C₂³	1	4	yes	—
289	C₃×#125	C₂³	1	8	yes	—
290	C₃×#125	C₂³	1	8	yes	—
291	C₃×#125	C₂³	1	8	yes	—
292	C₃×#125	C₂³	1	8	yes	—
293	C₃×#125	C₂³	1	4	yes	—
294	C₃×#125	C₂³	1	4	yes	—
295	C₃×#125	C₂³	1	4	yes	—
296	C₃×#125	C₂³	1	4	yes	—
297	C₃×#125	C₂³	1	2	yes	—
298	C₃×#125	C₂³	1	2	yes	—
299	C₃×#125	C₂³	1	4	yes	—
300	C₃×#125	C₂³	1	8	yes	—
301	C₃×#125	C₂³	1	2	yes	—
302	C₃×#125	C₂³	1	4	yes	—
303	C₃×#125	C₂³	1	2	yes	—
304	C₃×#125	C₂³	1	2	yes	—
305	C₃×#125	C₂³	1	2	yes	—
306	C₃×#125	C₂³	1	4	yes	—
307	C₃×#125	C₂³	1	4	yes	—
308	C₃×#125	C₂³	1	4	yes	—
309	C₃×#124	C₂³	1	2	yes	—
310	C₃×#124	C₂³	1	2	yes	—
311	C₃×#124	C₂³	1	2	yes	—
312	C₃×#124	C₂³	1	4	yes	—
313	C₃×#124	C₂³	1	2	yes	—
314	C₃×#124	C₂³	1	8	yes	—
315	C₃×#124	C₂³	1	8	yes	—
316	C₃×#124	C₂³	1	8	yes	—
317	C₃×#124	C₂³	1	4	yes	—
318	C₃×#124	C₂³	1	2	yes	—
319	C₃×#124	C₂³	1	4	yes	—
320	C₃×#124	C₂³	1	4	yes	—
321	C₃×#124	C₂³	1	8	yes	—
322	C₃×#124	C₂³	1	8	yes	—
323	C₃×#124	C₂³	1	2	yes	—
324	C₃×#124	C₂³	1	8	yes	—
325	C₃×#124	C₂³	1	4	yes	—
326	C₃×#123	C₂³	1	8	yes	—
327	C₃×#123	C₂³	1	8	yes	—
328	C₃×#123	C₂³	1	8	yes	—
329	C₃×#123	C₂³	1	8	yes	—
330	C₃×#123	C₂³	1	8	yes	—
331	C₃×#123	C₂³	1	8	yes	—
332	C₃×#123	C₂³	1	4	yes	—
333	C₃×#123	C₂³	1	4	yes	—
334	C₃×#123	C₂³	1	4	yes	—
335	C₃×#123	C₂³	1	8	yes	—
336	C₃×#123	C₂³	1	8	yes	—
337	C₃×#123	C₂³	1	8	yes	—
338	C₃×#123	C₂³	1	8	yes	—
339	C₃×#123	C₂³	1	8	yes	—
340	C₃×#123	C₂³	1	8	yes	—
341	C₃×#123	C₂³	1	8	yes	—
342	C₃×#123	C₂³	1	4	yes	—
343	C₃×#123	C₂³	1	4	yes	—
344	C₃×#123	C₂³	1	4	yes	—
345	C₃×#123	C₂³	1	4	yes	—
346	C₃×#123	C₂³	1	8	yes	—
347	C₃×#123	C₂³	1	8	yes	—
348	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
350	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
351	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
352	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
353	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
354	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
355	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
356	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
357	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
358	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
359	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
361	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
362	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
363	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
364	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
365	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
366	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
367	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
368	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
369	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
370	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
371	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
372	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
373	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
374	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
375	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
376	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
377	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
378	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
379	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
380	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
381	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
382	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
383	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
384	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
385	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
386	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
387	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
388	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
389	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
390	C₃×#121	C₂³	1	8	yes	—
391	C₃×#121	C₂³	1	4	yes	—
392	C₃×#121	C₂³	1	4	yes	—
393	C₃×#121	C₂³	1	8	yes	—
394	C₃×#121	C₂³	1	4	yes	—
395	C₃×#121	C₂³	1	8	yes	—
396	C₃×#121	C₂³	1	8	yes	—
397	C₃×#121	C₂³	1	8	yes	—
398	C₃×#121	C₂³	1	8	yes	—
399	C₃×#121	C₂³	1	8	yes	—
400	C₃×#121	C₂³	1	2	yes	—
401	C₃×#121	C₂³	1	4	yes	—
402	C₃×#121	C₂³	1	8	yes	—
403	C₃×#121	C₂³	1	4	yes	—
404	C₃×#121	C₂³	1	8	yes	—
405	C₃×#121	C₂³	1	4	yes	—
406	C₃×#121	C₂³	1	2	yes	—
407	C₃×#121	C₂³	1	2	yes	—
408	C₃×#121	C₂³	1	2	yes	—
409	C₃×#121	C₂³	1	4	yes	—
410	C₃×#121	C₂³	1	2	yes	—
411	C₃×#121	C₂³	1	4	yes	—
412	C₃×#121	C₂³	1	2	yes	—
413	C₃×#121	C₂³	1	4	yes	—
414	C₃×#121	C₂³	1	2	yes	—
415	C₃×#121	C₂³	1	4	yes	—
416	C₃×#121	C₂³	1	2	yes	—
417	C₃×#121	C₂³	1	4	yes	—
418	C₃×#121	C₂³	1	8	yes	—
419	C₃×#121	C₂³	1	2	yes	—
420	C₃×#121	C₂³	1	4	yes	—
421	C₃×#121	C₂³	1	4	yes	—
422	C₃×#120	C₂³	1	4	yes	—
423	C₃×#120	C₂³	1	8	yes	—
424	C₃×#120	C₂³	1	4	yes	—
425	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
426	C₃×C₄×Q₈	C₂³	1	4	yes	—
427	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
428	C₃×C₄×Q₈	C₂³	1	2	yes	—
429	C₃×C₄×Q₈	C₂³	1	2	yes	—
430	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
431	C₃×C₄×Q₈	C₂³	1	2	yes	—
432	C₃×C₄×Q₈	C₂³	1	4	yes	—
433	C₃×C₄×Q₈	C₂³	1	4	yes	—
434	C₃×C₄×Q₈	C₂³	1	2	yes	—
435	C₃×C₄×Q₈	C₂³	1	4	yes	—
436	C₃×C₄×Q₈	C₂³	1	4	yes	—
437	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
438	C₃×C₄×Q₈	C₂³	1	2	yes	—
439	C₃×C₄×Q₈	C₂³	1	2	yes	—
440	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
441	C₃×C₄×Q₈	C₂³	1	2	yes	—
442	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
443	C₃×C₄×Q₈	C₂³	1	2	yes	—
444	C₃×C₄×Q₈	C₂³	1	4	yes	—
445	C₃×C₄×Q₈	C₂³	1	2	yes	—
446	C₃×C₄×Q₈	C₂³	1	2	yes	—
447	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
448	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
449	C₃×C₄×Q₈	C₂³	1	2	yes	—
450	C₃×C₄×Q₈	C₂³	1	8	yes	—
451	C₃×C₄×Q₈	C₂³	1	4	yes	—
452	C₃×C₄×Q₈	C₂³	1	4	yes	—
453	C₃×C₄×Q₈	C₂³	1	8	yes	—
454	C₃×C₄×Q₈	C₂³	1	4	yes	—
455	C₃×C₄×D₄	C₂³	1	4	yes	—
456	C₃×C₄×D₄	C₂³	1	2	yes	—
457	C₃×C₄×D₄	C₂³	1	4	yes	—
458	C₃×C₄×D₄	C₂³	1	4	yes	—
459	C₃×C₄×D₄	C₂³	1	4	yes	—
460	C₃×C₄×D₄	C₂³	1	8	yes	—
461	C₃×C₄×D₄	C₂³	1	8	yes	—
462	C₃×C₄×D₄	C₂³	1	8	yes	—
463	C₃×C₄×D₄	C₂³	1	2	yes	—
464	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
465	C₃×C₄×D₄	C₂³	1	2	yes	—
466	C₃×C₄×D₄	C₂³	1	4	yes	—
467	C₃×C₄×D₄	C₂³	1	2	yes	—
468	C₃×C₄×D₄	C₂³	1	2	yes	—
469	C₃×C₄×D₄	C₂³	1	4	yes	—
470	C₃×C₄×D₄	C₂³	1	4	yes	—
471	C₃×C₄×D₄	C₂³	1	4	yes	—
472	C₃×C₄×D₄	C₂³	1	2	yes	—
473	C₃×C₄×D₄	C₂³	1	2	yes	—
474	C₃×C₄×D₄	C₂³	1	2	yes	—
475	C₃×C₄×D₄	C₂³	1	4	yes	—
476	C₃×C₄×D₄	C₂³	1	4	yes	—
477	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
478	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
479	C₃×C₄×D₄	C₂³	1	2	yes	—
480	C₃×C₄×D₄	C₂³	1	2	yes	—
481	C₃×C₄×D₄	C₂³	1	4	yes	—
482	C₃×C₄×D₄	C₂³	1	2	yes	—
483	C₃×C₄×D₄	C₂³	1	4	yes	—
484	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
485	C₃×C₄×D₄	C₂³	1	2	yes	—
486	C₃×C₄×D₄	C₂³	1	2	yes	—
487	C₃×C₄×D₄	C₂³	1	2	yes	—
488	C₃×C₄×D₄	C₂³	1	4	yes	—
489	C₃×C₄×D₄	C₂³	1	8	yes	—
490	C₃×C₄×D₄	C₂³	1	8	yes	—
491	C₃×C₄×D₄	C₂³	1	8	yes	—
492	C₃×C₄×D₄	C₂³	1	8	yes	—
493	C₃×C₄×D₄	C₂³	1	8	yes	—
494	C₃×C₄×D₄	C₂³	1	8	yes	—
495	C₃×C₄×D₄	C₂³	1	4	yes	—
496	C₃×C₄×D₄	C₂³	1	4	yes	—
497	C₃×C₄×D₄	C₂³	1	4	yes	—
498	C₃×C₄×D₄	C₂³	1	4	yes	—
499	C₃×C₄×D₄	C₂³	1	2	yes	—
500	C₃×C₄×D₄	C₂³	1	8	yes	—
501	C₃×#117	C₂³	1	1	yes	characteristic
502	C₃×#117	C₂³	1	1	yes	characteristic
503	C₃×#117	C₂³	1	2	yes	—
504	C₃×#117	C₂³	1	4	yes	—
505	C₃×#117	C₂³	1	2	yes	—
506	C₃×#117	C₂³	1	4	yes	—
507	C₃×#117	C₂³	1	2	yes	—
508	C₃×#117	C₂³	1	2	yes	—
509	C₃×#117	C₂³	1	4	yes	—
510	C₃×#117	C₂³	1	4	yes	—
511	C₃×#117	C₂³	1	4	yes	—
512	C₃×#117	C₂³	1	4	yes	—
513	C₃×#117	C₂³	1	4	yes	—
514	C₃×#117	C₂³	1	4	yes	—
515	C₃×#117	C₂³	1	8	yes	—
516	C₃×#117	C₂³	1	4	yes	—
517	C₃×#117	C₂³	1	8	yes	—
518	C₃×#117	C₂³	1	8	yes	—
519	C₃×#117	C₂³	1	8	yes	—
520	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
521	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
522	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
523	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
524	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
525	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
526	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
527	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
528	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
529	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
530	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
531	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
532	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
533	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
534	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
535	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
536	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
537	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
538	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
539	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
540	C₂×C₃×C₄²	C₂³	1	2	yes	—
541	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
542	C₂×C₃×C₄²	C₂³	1	4	yes	—
543	C₂×C₃×C₄²	C₂³	1	2	yes	—
544	C₂×C₃×C₄²	C₂³	1	4	yes	—
545	C₂×C₃×C₄²	C₂³	1	2	yes	—
546	#563	C₂²×C₃	1	8	yes	complemented
547	#563	C₂²×C₃	1	8	yes	complemented
548	#563	C₂²×C₃	1	8	yes	complemented
549	#562	C₂²×C₃	1	8	yes	complemented
550	#562	C₂²×C₃	1	8	yes	complemented
551	#562	C₂²×C₃	1	8	yes	complemented
552	#559	C₂²×C₃	1	4	yes	—
553	#559	C₂²×C₃	1	4	yes	—
554	#559	C₂²×C₃	1	4	yes	—
555	#559	C₂²×C₃	1	1	yes	characteristic, complemented
556	#559	C₂²×C₃	1	2	yes	complemented
557	Q₈²	C₂²×C₃	1	1	yes	characteristic, complemented
558	Q₈²	C₂²×C₃	1	2	yes	complemented
559	#557	C₂²×C₃	1	1	yes	characteristic, complemented
560	#557	C₂²×C₃	1	2	yes	complemented
561	#557	C₂²×C₃	1	1	yes	characteristic, complemented
562	#557	C₂²×C₃	1	2	yes	complemented
563	#557	C₂²×C₃	1	4	yes	complemented
564	#557	C₂²×C₃	1	4	yes	complemented
565	#556	C₂²×C₃	1	2	yes	—
566	#556	C₂²×C₃	1	4	yes	—
567	#556	C₂²×C₃	1	1	yes	characteristic, complemented
568	#556	C₂²×C₃	1	2	yes	complemented
569	#556	C₂²×C₃	1	8	yes	complemented
570	#556	C₂²×C₃	1	4	yes	complemented
571	#556	C₂²×C₃	1	2	yes	complemented
572	#555	C₂²×C₃	1	2	yes	—
573	#555	C₂²×C₃	1	4	yes	—
574	#555	C₂²×C₃	1	2	yes	complemented
575	#554	C₂²×C₃	1	2	yes	—
576	#554	C₂²×C₃	1	2	yes	—
577	#554	C₂²×C₃	1	2	yes	—
578	#554	C₂²×C₃	1	2	yes	—
579	#554	C₂²×C₃	1	4	yes	—
580	#554	C₂²×C₃	1	4	yes	—
581	#554	C₂²×C₃	1	2	yes	—
582	#554	C₂²×C₃	1	4	yes	—
583	#554	C₂²×C₃	1	4	yes	—
584	#554	C₂²×C₃	1	8	yes	—
585	#554	C₂²×C₃	1	8	yes	—
586	#554	C₂²×C₃	1	1	yes	characteristic, complemented
587	#554	C₂²×C₃	1	2	yes	complemented
588	#554	C₂²×C₃	1	2	yes	complemented
589	#554	C₂²×C₃	1	4	yes	complemented
590	#554	C₂²×C₃	1	4	yes	complemented
591	#554	C₂²×C₃	1	2	yes	complemented
592	#553	C₂²×C₃	1	2	yes	—
593	#553	C₂²×C₃	1	4	yes	—
594	#553	C₂²×C₃	1	4	yes	—
595	#553	C₂²×C₃	1	8	yes	—
596	#553	C₂²×C₃	1	4	yes	—
597	#553	C₂²×C₃	1	4	yes	—
598	#553	C₂²×C₃	1	4	yes	—
599	#553	C₂²×C₃	1	8	yes	—
600	#553	C₂²×C₃	1	4	yes	complemented
601	#553	C₂²×C₃	1	4	yes	complemented
602	#552	C₂²×C₃	1	4	yes	complemented
603	#552	C₂²×C₃	1	4	yes	complemented
604	#552	C₂²×C₃	1	8	yes	complemented
605	#552	C₂²×C₃	1	4	yes	complemented
606	#552	C₂²×C₃	1	4	yes	complemented
607	#552	C₂²×C₃	1	4	yes	complemented
608	#552	C₂²×C₃	1	8	yes	complemented
609	#550	C₂²×C₃	1	2	yes	—
610	#550	C₂²×C₃	1	4	yes	—
611	#550	C₂²×C₃	1	1	yes	characteristic, complemented
612	D₄×Q₈	C₂²×C₃	1	2	yes	—
613	D₄×Q₈	C₂²×C₃	1	4	yes	—
614	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
615	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
616	#548	C₂²×C₃	1	2	yes	—
617	#548	C₂²×C₃	1	4	yes	—
618	#548	C₂²×C₃	1	8	yes	complemented
619	#548	C₂²×C₃	1	4	yes	complemented
620	#547	C₂²×C₃	1	2	yes	—
621	#547	C₂²×C₃	1	4	yes	—
622	#547	C₂²×C₃	1	4	yes	complemented
623	#547	C₂²×C₃	1	4	yes	complemented
624	#547	C₂²×C₃	1	8	yes	complemented
625	#547	C₂²×C₃	1	2	yes	complemented
626	#547	C₂²×C₃	1	4	yes	complemented
627	#547	C₂²×C₃	1	8	yes	complemented
628	#544	C₂²×C₃	1	2	yes	—
629	#544	C₂²×C₃	1	1	yes	characteristic
630	#544	C₂²×C₃	1	4	yes	complemented
631	#544	C₂²×C₃	1	4	yes	complemented
632	#544	C₂²×C₃	1	4	yes	complemented
633	#544	C₂²×C₃	1	4	yes	complemented
634	#542	C₂²×C₃	1	4	yes	—
635	#542	C₂²×C₃	1	4	yes	—
636	#542	C₂²×C₃	1	2	yes	—
637	#542	C₂²×C₃	1	2	yes	—
638	#542	C₂²×C₃	1	8	yes	complemented
639	#542	C₂²×C₃	1	4	yes	complemented
640	#542	C₂²×C₃	1	4	yes	complemented
641	#542	C₂²×C₃	1	8	yes	complemented
642	#542	C₂²×C₃	1	8	yes	complemented
643	#542	C₂²×C₃	1	8	yes	complemented
644	#541	C₂²×C₃	1	4	yes	complemented
645	#541	C₂²×C₃	1	4	yes	complemented
646	#541	C₂²×C₃	1	8	yes	complemented
647	#540	C₂²×C₃	1	4	yes	—
648	#540	C₂²×C₃	1	4	yes	—
649	#540	C₂²×C₃	1	2	yes	—
650	#540	C₂²×C₃	1	2	yes	—
651	#540	C₂²×C₃	1	4	yes	complemented
652	#539	C₂²×C₃	1	8	yes	complemented
653	#539	C₂²×C₃	1	8	yes	complemented
654	#539	C₂²×C₃	1	8	yes	complemented
655	#539	C₂²×C₃	1	8	yes	complemented
656	#539	C₂²×C₃	1	8	yes	complemented
657	#538	C₂²×C₃	1	4	yes	—
658	#538	C₂²×C₃	1	8	yes	—
659	#538	C₂²×C₃	1	8	yes	—
660	#538	C₂²×C₃	1	4	yes	—
661	#537	C₂²×C₃	1	2	yes	—
662	#537	C₂²×C₃	1	1	yes	characteristic
663	#537	C₂²×C₃	1	4	yes	complemented
664	#537	C₂²×C₃	1	4	yes	complemented
665	#537	C₂²×C₃	1	8	yes	complemented
666	#536	C₂²×C₃	1	4	yes	complemented
667	#536	C₂²×C₃	1	8	yes	complemented
668	#535	C₂²×C₃	1	1	yes	characteristic
669	#535	C₂²×C₃	1	1	yes	characteristic
670	#535	C₂²×C₃	1	2	yes	—
671	#533	C₂²×C₃	1	1	yes	characteristic
672	#533	C₂²×C₃	1	2	yes	—
673	#533	C₂²×C₃	1	2	yes	complemented
674	#533	C₂²×C₃	1	4	yes	complemented
675	#533	C₂²×C₃	1	2	yes	complemented
676	#533	C₂²×C₃	1	4	yes	complemented
677	#533	C₂²×C₃	1	2	yes	complemented
678	#532	C₂²×C₃	1	2	yes	—
679	#532	C₂²×C₃	1	2	yes	—
680	#532	C₂²×C₃	1	4	yes	—
681	#532	C₂²×C₃	1	4	yes	—
682	#532	C₂²×C₃	1	1	yes	characteristic
683	#532	C₂²×C₃	1	2	yes	—
684	#532	C₂²×C₃	1	2	yes	complemented
685	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
686	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
687	#529	C₂²×C₃	1	4	yes	—
688	#529	C₂²×C₃	1	2	yes	—
689	#529	C₂²×C₃	1	4	yes	—
690	#529	C₂²×C₃	1	2	yes	—
691	#529	C₂²×C₃	1	2	yes	complemented
692	#529	C₂²×C₃	1	4	yes	complemented
693	#529	C₂²×C₃	1	4	yes	complemented
694	#529	C₂²×C₃	1	4	yes	complemented
695	C₂×#125	C₂²×C₃	1	2	yes	—
696	C₂×#125	C₂²×C₃	1	4	yes	complemented
697	#525	C₂²×C₃	1	4	yes	—
698	#525	C₂²×C₃	1	8	yes	—
699	#525	C₂²×C₃	1	4	yes	—
700	#525	C₂²×C₃	1	8	yes	—
701	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
702	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
703	#520	C₂²×C₃	1	2	yes	—
704	#520	C₂²×C₃	1	2	yes	—
705	#520	C₂²×C₃	1	2	yes	—
706	#520	C₂²×C₃	1	4	yes	complemented
707	#520	C₂²×C₃	1	4	yes	complemented
708	C₄×#41	C₂²×C₃	1	1	yes	characteristic
709	C₄×#41	C₂²×C₃	1	2	yes	—
710	C₄×#41	C₂²×C₃	1	1	yes	characteristic
711	C₄×#41	C₂²×C₃	1	2	yes	—
712	C₄×#41	C₂²×C₃	1	2	yes	complemented
713	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
714	C₂×C₄×Q₈	C₂²×C₃	1	2	yes	complemented
715	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
716	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
717	C₂²×C₄⋊C₄	C₂²×C₃	1	2	yes	—
718	C₂⁴×C₃	C₂⁴	1	2	yes	—
719	C₃×#41	—	2	4	no	—
720	C₃×#41	—	2	4	no	—
721	C₃×#41	—	2	8	no	—
722	C₃×#41	—	4	8	no	—
723	C₃×#41	—	4	8	no	—
724	C₃×#41	—	4	4	no	—
725	C₃×#41	—	8	8	no	—
726	C₃×#41	—	8	8	no	—
727	C₃×#41	—	8	4	no	—
728	C₂×C₃×Q₈	—	4	2	no	—
729	C₂×C₃×Q₈	—	4	4	no	—
730	C₂×C₃×Q₈	—	8	2	no	—
731	C₂×C₃×Q₈	—	8	4	no	—
732	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
733	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
734	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
735	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
736	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
737	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
738	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
739	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
740	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
741	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
742	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
743	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
744	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
745	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
746	C₂×C₃×D₄	—	2	4	no	—
747	C₂×C₃×D₄	C₂⁴	1	2	yes	—
748	C₂×C₃×D₄	C₂⁴	1	2	yes	—
749	C₂×C₃×D₄	C₂⁴	1	4	yes	—
750	C₂×C₃×D₄	C₂⁴	1	2	yes	—
751	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
752	C₂×C₃×D₄	C₂⁴	1	2	yes	—
753	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
754	C₂×C₃×D₄	C₂⁴	1	2	yes	—
755	C₂×C₃×D₄	C₂⁴	1	2	yes	—
756	C₂×C₃×D₄	C₂⁴	1	8	yes	—
757	C₂×C₃×D₄	C₂⁴	1	4	yes	—
758	C₂×C₃×D₄	C₂⁴	1	4	yes	—
759	C₂×C₃×D₄	C₂⁴	1	4	yes	—
760	C₂×C₃×D₄	C₂⁴	1	4	yes	—
761	C₂×C₃×D₄	C₂⁴	1	4	yes	—
762	C₂×C₃×D₄	C₂⁴	1	8	yes	—
763	C₂×C₃×D₄	C₂⁴	1	4	yes	—
764	C₂×C₃×D₄	C₂⁴	1	8	yes	—
765	C₂×C₃×D₄	C₂⁴	1	4	yes	—
766	C₂×C₃×D₄	C₂⁴	1	2	yes	—
767	C₂²×C₃×C₄	—	4	4	no	—
768	C₂²×C₃×C₄	—	8	4	no	—
769	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
770	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
771	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
772	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
773	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
774	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
775	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
776	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
777	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
778	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
779	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
780	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
781	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
782	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
783	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
784	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
785	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
786	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
787	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
788	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
789	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
790	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
791	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
792	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
793	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
794	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
795	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
796	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
797	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
798	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
800	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
801	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
802	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
803	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
805	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
806	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
807	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
808	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
809	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
813	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
814	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
815	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
816	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
817	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
820	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
821	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
822	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
823	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
824	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
825	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
827	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
829	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
830	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
831	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
832	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
834	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
835	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
836	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
837	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
838	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
839	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
840	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
841	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
842	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
843	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
844	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
845	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
846	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
847	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
848	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
849	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
850	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
851	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
853	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
857	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
861	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
867	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
872	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
873	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
874	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
876	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
878	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
879	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
880	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₃×C₄²	C₂⁴	1	2	yes	—
885	C₃×C₄²	C₂⁴	1	2	yes	—
886	C₃×C₄²	C₂⁴	1	1	yes	characteristic
887	C₃×C₄²	C₂⁴	1	2	yes	—
888	C₃×C₄²	C₂⁴	1	1	yes	characteristic
889	C₃×C₄²	C₂⁴	1	4	yes	—
890	C₃×C₄²	C₂⁴	1	4	yes	—
891	C₃×C₄²	C₂⁴	1	2	yes	—
892	C₃×C₄²	C₂⁴	1	2	yes	—
893	C₃×C₄²	C₂⁴	1	1	yes	characteristic
894	C₃×C₄²	C₂⁴	1	2	yes	—
895	C₃×C₄²	C₂⁴	1	1	yes	characteristic
896	C₃×C₄²	C₂⁴	1	2	yes	—
897	C₃×C₄²	C₂⁴	1	2	yes	—
898	C₃×C₄²	C₂⁴	1	4	yes	—
899	C₃×C₄²	C₂⁴	1	4	yes	—
900	C₃×C₄²	C₂⁴	1	2	yes	—
901	C₃×C₄²	C₂⁴	1	4	yes	—
902	C₃×C₄²	C₂⁴	1	2	yes	—
903	C₃×C₄²	C₂⁴	1	8	yes	—
904	C₃×C₄²	C₂⁴	1	8	yes	—
905	C₃×C₄²	C₂⁴	1	8	yes	—
906	C₂×#41	C₂³×C₃	1	1	yes	characteristic
907	C₂×#41	C₂³×C₃	1	1	yes	characteristic
908	C₂×#41	C₂³×C₃	1	2	yes	—
909	C₂×#41	C₂³×C₃	1	2	yes	—
910	C₂×#41	C₂³×C₃	1	4	yes	—
911	C₂×#41	C₂³×C₃	1	4	yes	—
912	C₂×#41	C₂³×C₃	1	8	yes	—
913	C₂×#41	C₂³×C₃	1	8	yes	—
914	C₂×#41	C₂³×C₃	1	4	yes	—
915	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
916	C₂²×Q₈	C₂³×C₃	1	2	yes	—
917	C₂²×Q₈	C₂³×C₃	1	2	yes	—
918	C₂²×Q₈	C₂³×C₃	1	4	yes	—
919	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
920	C₂³×C₄	C₂³×C₃	1	2	yes	—
921	C₂³×C₄	C₂³×C₃	1	4	yes	—
922	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
923	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
924	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
925	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
926	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
927	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
928	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
929	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
930	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
931	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
932	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
933	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
934	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
935	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
936	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
937	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
938	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
939	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
940	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
941	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
942	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
943	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
944	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
945	#127	C₂³×C₃	1	2	yes	—
946	#127	C₂³×C₃	1	1	yes	characteristic
947	#127	C₂³×C₃	1	4	yes	—
948	#127	C₂³×C₃	1	2	yes	—
949	#127	C₂³×C₃	1	2	yes	—
950	#126	C₂³×C₃	1	8	yes	—
951	#126	C₂³×C₃	1	4	yes	—
952	#126	C₂³×C₃	1	4	yes	—
953	#126	C₂³×C₃	1	8	yes	—
954	#126	C₂³×C₃	1	4	yes	—
955	#126	C₂³×C₃	1	8	yes	—
956	#126	C₂³×C₃	1	4	yes	—
957	#126	C₂³×C₃	1	8	yes	—
958	#126	C₂³×C₃	1	4	yes	—
959	#126	C₂³×C₃	1	8	yes	—
960	#126	C₂³×C₃	1	8	yes	—
961	#126	C₂³×C₃	1	8	yes	—
962	#126	C₂³×C₃	1	8	yes	—
963	#126	C₂³×C₃	1	8	yes	—
964	#126	C₂³×C₃	1	8	yes	—
965	#125	C₂³×C₃	1	4	yes	—
966	#125	C₂³×C₃	1	4	yes	—
967	#125	C₂³×C₃	1	4	yes	—
968	#125	C₂³×C₃	1	4	yes	—
969	#125	C₂³×C₃	1	2	yes	—
970	#125	C₂³×C₃	1	2	yes	—
971	#125	C₂³×C₃	1	4	yes	—
972	#125	C₂³×C₃	1	8	yes	—
973	#125	C₂³×C₃	1	8	yes	—
974	#125	C₂³×C₃	1	2	yes	—
975	#125	C₂³×C₃	1	4	yes	—
976	#125	C₂³×C₃	1	4	yes	—
977	#125	C₂³×C₃	1	2	yes	—
978	#125	C₂³×C₃	1	2	yes	—
979	#125	C₂³×C₃	1	2	yes	—
980	#125	C₂³×C₃	1	4	yes	—
981	#125	C₂³×C₃	1	4	yes	—
982	#125	C₂³×C₃	1	4	yes	—
983	#125	C₂³×C₃	1	4	yes	—
984	#125	C₂³×C₃	1	8	yes	—
985	#125	C₂³×C₃	1	8	yes	—
986	#125	C₂³×C₃	1	8	yes	—
987	#125	C₂³×C₃	1	8	yes	—
988	#125	C₂³×C₃	1	8	yes	—
989	#124	C₂³×C₃	1	2	yes	—
990	#124	C₂³×C₃	1	4	yes	—
991	#124	C₂³×C₃	1	2	yes	—
992	#124	C₂³×C₃	1	2	yes	—
993	#124	C₂³×C₃	1	2	yes	—
994	#124	C₂³×C₃	1	2	yes	—
995	#124	C₂³×C₃	1	4	yes	—
996	#124	C₂³×C₃	1	8	yes	—
997	#124	C₂³×C₃	1	4	yes	—
998	#124	C₂³×C₃	1	8	yes	—
999	#124	C₂³×C₃	1	4	yes	—
1000	#124	C₂³×C₃	1	2	yes	—
1001	#124	C₂³×C₃	1	4	yes	—
1002	#124	C₂³×C₃	1	8	yes	—
1003	#124	C₂³×C₃	1	8	yes	—
1004	#124	C₂³×C₃	1	8	yes	—
1005	#124	C₂³×C₃	1	8	yes	—
1006	#123	C₂³×C₃	1	4	yes	—
1007	#123	C₂³×C₃	1	4	yes	—
1008	#123	C₂³×C₃	1	8	yes	—
1009	#123	C₂³×C₃	1	8	yes	—
1010	#123	C₂³×C₃	1	8	yes	—
1011	#123	C₂³×C₃	1	8	yes	—
1012	#123	C₂³×C₃	1	8	yes	—
1013	#123	C₂³×C₃	1	4	yes	—
1014	#123	C₂³×C₃	1	8	yes	—
1015	#123	C₂³×C₃	1	4	yes	—
1016	#123	C₂³×C₃	1	8	yes	—
1017	#123	C₂³×C₃	1	4	yes	—
1018	#123	C₂³×C₃	1	8	yes	—
1019	#123	C₂³×C₃	1	4	yes	—
1020	#123	C₂³×C₃	1	8	yes	—
1021	#123	C₂³×C₃	1	4	yes	—
1022	#123	C₂³×C₃	1	8	yes	—
1023	#123	C₂³×C₃	1	8	yes	—
1024	#123	C₂³×C₃	1	8	yes	—
1025	#123	C₂³×C₃	1	8	yes	—
1026	#123	C₂³×C₃	1	8	yes	—
1027	#123	C₂³×C₃	1	8	yes	—
1028	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1029	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1030	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1031	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1032	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1033	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1034	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1035	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1036	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1037	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1038	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1039	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1040	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1041	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1042	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1043	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1044	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1045	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1046	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1047	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1048	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1049	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1050	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1051	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1052	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1053	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1054	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1055	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1056	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1057	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1058	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1059	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1060	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1061	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1062	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1063	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1064	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1065	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1066	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1067	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1068	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1069	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1070	#121	C₂³×C₃	1	2	yes	—
1071	#121	C₂³×C₃	1	4	yes	—
1072	#121	C₂³×C₃	1	8	yes	—
1073	#121	C₂³×C₃	1	4	yes	—
1074	#121	C₂³×C₃	1	8	yes	—
1075	#121	C₂³×C₃	1	8	yes	—
1076	#121	C₂³×C₃	1	4	yes	—
1077	#121	C₂³×C₃	1	4	yes	—
1078	#121	C₂³×C₃	1	2	yes	—
1079	#121	C₂³×C₃	1	2	yes	—
1080	#121	C₂³×C₃	1	2	yes	—
1081	#121	C₂³×C₃	1	4	yes	—
1082	#121	C₂³×C₃	1	2	yes	—
1083	#121	C₂³×C₃	1	4	yes	—
1084	#121	C₂³×C₃	1	2	yes	—
1085	#121	C₂³×C₃	1	4	yes	—
1086	#121	C₂³×C₃	1	4	yes	—
1087	#121	C₂³×C₃	1	2	yes	—
1088	#121	C₂³×C₃	1	4	yes	—
1089	#121	C₂³×C₃	1	2	yes	—
1090	#121	C₂³×C₃	1	4	yes	—
1091	#121	C₂³×C₃	1	8	yes	—
1092	#121	C₂³×C₃	1	2	yes	—
1093	#121	C₂³×C₃	1	4	yes	—
1094	#121	C₂³×C₃	1	8	yes	—
1095	#121	C₂³×C₃	1	4	yes	—
1096	#121	C₂³×C₃	1	4	yes	—
1097	#121	C₂³×C₃	1	8	yes	—
1098	#121	C₂³×C₃	1	8	yes	—
1099	#121	C₂³×C₃	1	8	yes	—
1100	#121	C₂³×C₃	1	8	yes	—
1101	#121	C₂³×C₃	1	8	yes	—
1102	#120	C₂³×C₃	1	4	yes	—
1103	#120	C₂³×C₃	1	8	yes	—
1104	#120	C₂³×C₃	1	4	yes	—
1105	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1106	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1107	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1108	C₄×Q₈	C₂³×C₃	1	2	yes	—
1109	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1110	C₄×Q₈	C₂³×C₃	1	2	yes	—
1111	C₄×Q₈	C₂³×C₃	1	2	yes	—
1112	C₄×Q₈	C₂³×C₃	1	2	yes	—
1113	C₄×Q₈	C₂³×C₃	1	4	yes	—
1114	C₄×Q₈	C₂³×C₃	1	2	yes	—
1115	C₄×Q₈	C₂³×C₃	1	4	yes	—
1116	C₄×Q₈	C₂³×C₃	1	2	yes	—
1117	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1118	C₄×Q₈	C₂³×C₃	1	2	yes	—
1119	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1120	C₄×Q₈	C₂³×C₃	1	2	yes	—
1121	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1122	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1123	C₄×Q₈	C₂³×C₃	1	2	yes	—
1124	C₄×Q₈	C₂³×C₃	1	2	yes	—
1125	C₄×Q₈	C₂³×C₃	1	4	yes	—
1126	C₄×Q₈	C₂³×C₃	1	4	yes	—
1127	C₄×Q₈	C₂³×C₃	1	4	yes	—
1128	C₄×Q₈	C₂³×C₃	1	4	yes	—
1129	C₄×Q₈	C₂³×C₃	1	8	yes	—
1130	C₄×Q₈	C₂³×C₃	1	2	yes	—
1131	C₄×Q₈	C₂³×C₃	1	4	yes	—
1132	C₄×Q₈	C₂³×C₃	1	4	yes	—
1133	C₄×Q₈	C₂³×C₃	1	8	yes	—
1134	C₄×Q₈	C₂³×C₃	1	4	yes	—
1135	C₄×D₄	C₂³×C₃	1	2	yes	—
1136	C₄×D₄	C₂³×C₃	1	2	yes	—
1137	C₄×D₄	C₂³×C₃	1	4	yes	—
1138	C₄×D₄	C₂³×C₃	1	4	yes	—
1139	C₄×D₄	C₂³×C₃	1	4	yes	—
1140	C₄×D₄	C₂³×C₃	1	4	yes	—
1141	C₄×D₄	C₂³×C₃	1	2	yes	—
1142	C₄×D₄	C₂³×C₃	1	2	yes	—
1143	C₄×D₄	C₂³×C₃	1	2	yes	—
1144	C₄×D₄	C₂³×C₃	1	2	yes	—
1145	C₄×D₄	C₂³×C₃	1	4	yes	—
1146	C₄×D₄	C₂³×C₃	1	4	yes	—
1147	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1148	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1149	C₄×D₄	C₂³×C₃	1	2	yes	—
1150	C₄×D₄	C₂³×C₃	1	2	yes	—
1151	C₄×D₄	C₂³×C₃	1	2	yes	—
1152	C₄×D₄	C₂³×C₃	1	4	yes	—
1153	C₄×D₄	C₂³×C₃	1	2	yes	—
1154	C₄×D₄	C₂³×C₃	1	4	yes	—
1155	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1156	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1157	C₄×D₄	C₂³×C₃	1	2	yes	—
1158	C₄×D₄	C₂³×C₃	1	2	yes	—
1159	C₄×D₄	C₂³×C₃	1	2	yes	—
1160	C₄×D₄	C₂³×C₃	1	2	yes	—
1161	C₄×D₄	C₂³×C₃	1	4	yes	—
1162	C₄×D₄	C₂³×C₃	1	4	yes	—
1163	C₄×D₄	C₂³×C₃	1	8	yes	—
1164	C₄×D₄	C₂³×C₃	1	8	yes	—
1165	C₄×D₄	C₂³×C₃	1	8	yes	—
1166	C₄×D₄	C₂³×C₃	1	4	yes	—
1167	C₄×D₄	C₂³×C₃	1	4	yes	—
1168	C₄×D₄	C₂³×C₃	1	4	yes	—
1169	C₄×D₄	C₂³×C₃	1	8	yes	—
1170	C₄×D₄	C₂³×C₃	1	8	yes	—
1171	C₄×D₄	C₂³×C₃	1	8	yes	—
1172	C₄×D₄	C₂³×C₃	1	8	yes	—
1173	C₄×D₄	C₂³×C₃	1	8	yes	—
1174	C₄×D₄	C₂³×C₃	1	4	yes	—
1175	C₄×D₄	C₂³×C₃	1	4	yes	—
1176	C₄×D₄	C₂³×C₃	1	4	yes	—
1177	C₄×D₄	C₂³×C₃	1	8	yes	—
1178	C₄×D₄	C₂³×C₃	1	4	yes	—
1179	C₄×D₄	C₂³×C₃	1	2	yes	—
1180	C₄×D₄	C₂³×C₃	1	8	yes	—
1181	#117	C₂³×C₃	1	1	yes	characteristic
1182	#117	C₂³×C₃	1	1	yes	characteristic
1183	#117	C₂³×C₃	1	2	yes	—
1184	#117	C₂³×C₃	1	4	yes	—
1185	#117	C₂³×C₃	1	2	yes	—
1186	#117	C₂³×C₃	1	4	yes	—
1187	#117	C₂³×C₃	1	2	yes	—
1188	#117	C₂³×C₃	1	2	yes	—
1189	#117	C₂³×C₃	1	4	yes	—
1190	#117	C₂³×C₃	1	4	yes	—
1191	#117	C₂³×C₃	1	4	yes	—
1192	#117	C₂³×C₃	1	4	yes	—
1193	#117	C₂³×C₃	1	4	yes	—
1194	#117	C₂³×C₃	1	4	yes	—
1195	#117	C₂³×C₃	1	8	yes	—
1196	#117	C₂³×C₃	1	4	yes	—
1197	#117	C₂³×C₃	1	8	yes	—
1198	#117	C₂³×C₃	1	8	yes	—
1199	#117	C₂³×C₃	1	8	yes	—
1200	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1201	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1202	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1203	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1204	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1205	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1206	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1207	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1208	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1209	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1210	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1211	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1212	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1213	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1214	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1215	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1216	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1217	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1218	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1219	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1220	C₂×C₄²	C₂³×C₃	1	2	yes	—
1221	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1222	C₂×C₄²	C₂³×C₃	1	4	yes	—
1223	C₂×C₄²	C₂³×C₃	1	2	yes	—
1224	C₂×C₄²	C₂³×C₃	1	4	yes	—
1225	C₂×C₄²	C₂³×C₃	1	2	yes	—
1226	C₂³×C₃	—	2	4	no	—
1227	C₂³×C₃	—	4	2	no	—
1228	C₂³×C₃	—	4	2	no	—
1229	C₂³×C₃	C₂⁵	1	4	yes	—
1230	C₂³×C₃	C₂⁵	1	2	yes	—
1231	C₂³×C₃	C₂⁵	1	2	yes	—
1232	C₂³×C₃	C₂⁵	1	4	yes	—
1233	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1234	C₃×Q₈	—	2	2	no	—
1235	C₃×Q₈	—	2	2	no	—
1236	C₃×Q₈	—	2	4	no	—
1237	C₃×Q₈	—	2	2	no	—
1238	C₃×Q₈	—	2	2	no	—
1239	C₃×Q₈	—	2	4	no	—
1240	C₃×Q₈	—	4	2	no	—
1241	C₃×Q₈	—	4	4	no	—
1242	C₃×Q₈	—	4	4	no	—
1243	C₃×Q₈	—	4	2	no	—
1244	C₃×Q₈	—	4	4	no	—
1245	C₃×Q₈	—	4	8	no	—
1246	C₃×Q₈	—	4	4	no	—
1247	C₃×Q₈	—	4	4	no	—
1248	C₃×D₄	—	2	4	no	—
1249	C₃×D₄	—	2	4	no	—
1250	C₃×D₄	—	2	8	no	—
1251	C₃×D₄	—	2	4	no	—
1252	C₃×D₄	—	2	4	no	—
1253	C₃×D₄	—	2	2	no	—
1254	C₃×D₄	—	2	2	no	—
1255	C₃×D₄	—	2	4	no	—
1256	C₃×D₄	—	2	4	no	—
1257	C₃×D₄	—	4	4	no	—
1258	C₃×D₄	—	4	4	no	—
1259	C₃×D₄	—	4	4	no	—
1260	C₃×D₄	—	4	8	no	—
1261	C₃×D₄	—	4	4	no	—
1262	C₃×D₄	—	4	4	no	—
1263	C₃×D₄	—	4	4	no	—
1264	C₃×D₄	—	4	8	no	—
1265	C₃×D₄	—	4	4	no	—
1266	C₃×D₄	—	4	8	no	—
1267	C₃×D₄	—	4	2	no	—
1268	C₂×C₃×C₄	—	2	8	no	—
1269	C₂×C₃×C₄	—	2	4	no	—
1270	C₂×C₃×C₄	—	2	4	no	—
1271	C₂×C₃×C₄	—	2	2	no	—
1272	C₂×C₃×C₄	—	2	8	no	—
1273	C₂×C₃×C₄	—	2	4	no	—
1274	C₂×C₃×C₄	—	2	4	no	—
1275	C₂×C₃×C₄	—	4	2	no	—
1276	C₂×C₃×C₄	—	4	4	no	—
1277	C₂×C₃×C₄	—	4	2	no	—
1278	C₂×C₃×C₄	—	4	4	no	—
1279	C₂×C₃×C₄	—	4	8	no	—
1280	C₂×C₃×C₄	—	4	8	no	—
1281	C₂×C₃×C₄	—	4	2	no	—
1282	C₂×C₃×C₄	—	4	4	no	—
1283	C₂×C₃×C₄	—	4	1	no	—
1284	C₂×C₃×C₄	—	4	2	no	—
1285	C₂×C₃×C₄	—	4	8	no	—
1286	C₂×C₃×C₄	—	4	8	no	—
1287	C₂×C₃×C₄	—	4	4	no	—
1288	C₂×C₃×C₄	—	4	4	no	—
1289	C₂×C₃×C₄	—	4	4	no	—
1290	C₂×C₃×C₄	—	4	8	no	—
1291	C₂×C₃×C₄	—	4	2	no	—
1292	C₂×C₃×C₄	2₋¹⁺⁴	1	4	yes	—
1293	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1294	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1295	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1296	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1297	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1298	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1299	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1300	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1301	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1302	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1303	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1304	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1305	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1306	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1307	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1308	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1309	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1310	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1311	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1312	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1313	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1314	C₂⁴	C₂⁴×C₃	1	2	yes	—
1315	#41	—	2	4	no	—
1316	#41	—	2	4	no	—
1317	#41	—	2	8	no	—
1318	#41	—	4	8	no	—
1319	#41	—	4	8	no	—
1320	#41	—	4	4	no	—
1321	#41	—	8	8	no	—
1322	#41	—	8	8	no	—
1323	#41	—	8	4	no	—
1324	C₂×Q₈	—	4	2	no	—
1325	C₂×Q₈	—	4	4	no	—
1326	C₂×Q₈	—	8	2	no	—
1327	C₂×Q₈	—	8	4	no	—
1328	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1329	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1330	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1331	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1332	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1333	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1334	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1335	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1336	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1337	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1338	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1339	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1340	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1341	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1342	C₂×D₄	—	2	4	no	—
1343	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1344	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1345	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1346	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1347	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1348	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1349	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1350	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1351	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1352	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1353	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1354	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1355	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1356	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1357	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1358	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1359	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1360	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1361	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1362	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1363	C₂²×C₄	—	4	4	no	—
1364	C₂²×C₄	—	8	4	no	—
1365	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1366	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1367	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1368	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1369	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1370	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1371	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1372	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1373	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1374	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1375	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1376	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1377	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1378	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1379	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1380	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1381	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1382	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1383	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1384	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1385	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1386	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1387	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1388	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1389	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1390	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1391	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1392	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1393	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1394	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1395	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1396	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1397	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1398	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1399	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1400	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1401	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1402	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1403	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1404	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1405	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1406	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1407	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1408	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1409	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1410	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1411	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1412	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1413	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1414	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1415	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1416	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1417	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1418	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1419	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1420	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1421	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1422	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1423	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1424	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1425	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1426	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1427	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1428	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1429	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1430	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1432	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1433	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1434	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1435	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1436	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1437	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1438	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1439	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1440	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1441	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1442	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1443	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1444	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1445	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1446	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1447	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1448	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1449	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1450	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1451	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1452	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1453	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1454	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1455	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1456	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1457	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1458	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1459	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1460	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1461	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1462	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1463	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1464	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1465	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1466	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1467	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1468	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1469	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1470	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1471	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1472	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1473	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1474	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1475	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1476	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1477	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1478	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1479	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1480	C₄²	C₂⁴×C₃	1	2	yes	—
1481	C₄²	C₂⁴×C₃	1	2	yes	—
1482	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1483	C₄²	C₂⁴×C₃	1	2	yes	—
1484	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1485	C₄²	C₂⁴×C₃	1	4	yes	—
1486	C₄²	C₂⁴×C₃	1	4	yes	—
1487	C₄²	C₂⁴×C₃	1	2	yes	—
1488	C₄²	C₂⁴×C₃	1	2	yes	—
1489	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1490	C₄²	C₂⁴×C₃	1	2	yes	—
1491	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1492	C₄²	C₂⁴×C₃	1	2	yes	—
1493	C₄²	C₂⁴×C₃	1	2	yes	—
1494	C₄²	C₂⁴×C₃	1	4	yes	—
1495	C₄²	C₂⁴×C₃	1	4	yes	—
1496	C₄²	C₂⁴×C₃	1	2	yes	—
1497	C₄²	C₂⁴×C₃	1	4	yes	—
1498	C₄²	C₂⁴×C₃	1	2	yes	—
1499	C₄²	C₂⁴×C₃	1	8	yes	—
1500	C₄²	C₂⁴×C₃	1	8	yes	—
1501	C₄²	C₂⁴×C₃	1	8	yes	—
1502	C₂²×C₃	—	2	1	no	—
1503	C₂²×C₃	—	2	1	no	—
1504	C₂²×C₃	—	2	2	no	—
1505	C₂²×C₃	—	2	2	no	—
1506	C₂²×C₃	—	2	4	no	—
1507	C₂²×C₃	—	2	4	no	—
1508	C₂²×C₃	—	2	2	no	—
1509	C₂²×C₃	—	2	4	no	—
1510	C₂²×C₃	—	2	2	no	—
1511	C₂²×C₃	—	2	4	no	—
1512	C₂²×C₃	—	2	2	no	—
1513	C₂²×C₃	—	2	4	no	—
1514	C₂²×C₃	—	2	2	no	—
1515	C₂²×C₃	—	2	4	no	—
1516	C₂²×C₃	—	4	8	no	—
1517	C₂²×C₃	C₂×2₋¹⁺⁴	1	2	yes	—
1518	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1519	C₃×C₄	—	2	4	no	—
1520	C₃×C₄	—	2	2	no	—
1521	C₃×C₄	—	2	2	no	—
1522	C₃×C₄	—	2	4	no	—
1523	C₃×C₄	—	2	1	no	—
1524	C₃×C₄	—	2	2	no	—
1525	C₃×C₄	—	2	2	no	—
1526	C₃×C₄	—	2	2	no	—
1527	C₃×C₄	—	2	4	no	—
1528	C₃×C₄	—	2	2	no	—
1529	C₃×C₄	—	2	2	no	—
1530	C₃×C₄	—	2	2	no	—
1531	C₃×C₄	—	2	2	no	—
1532	C₃×C₄	—	2	8	no	—
1533	C₃×C₄	—	2	1	no	—
1534	C₃×C₄	—	2	2	no	—
1535	C₃×C₄	—	2	4	no	—
1536	C₃×C₄	—	2	1	no	—
1537	C₃×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1538	C₃×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1539	C₃×C₄	#585	1	2	yes	—
1540	C₂³	—	2	4	no	—
1541	C₂³	—	4	2	no	—
1542	C₂³	—	4	2	no	—
1543	C₂³	C₂⁵×C₃	1	4	yes	—
1544	C₂³	C₂⁵×C₃	1	2	yes	—
1545	C₂³	C₂⁵×C₃	1	2	yes	—
1546	C₂³	C₂⁵×C₃	1	4	yes	—
1547	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1548	Q₈	—	2	2	no	—
1549	Q₈	—	2	4	no	—
1550	Q₈	—	2	2	no	—
1551	Q₈	—	2	2	no	—
1552	Q₈	—	2	2	no	—
1553	Q₈	—	2	4	no	—
1554	Q₈	—	4	2	no	—
1555	Q₈	—	4	4	no	—
1556	Q₈	—	4	4	no	—
1557	Q₈	—	4	2	no	—
1558	Q₈	—	4	4	no	—
1559	Q₈	—	4	8	no	—
1560	Q₈	—	4	4	no	—
1561	Q₈	—	4	4	no	—
1562	D₄	—	2	4	no	—
1563	D₄	—	2	4	no	—
1564	D₄	—	2	8	no	—
1565	D₄	—	2	4	no	—
1566	D₄	—	2	4	no	—
1567	D₄	—	2	2	no	—
1568	D₄	—	2	2	no	—
1569	D₄	—	2	4	no	—
1570	D₄	—	2	4	no	—
1571	D₄	—	4	4	no	—
1572	D₄	—	4	4	no	—
1573	D₄	—	4	4	no	—
1574	D₄	—	4	8	no	—
1575	D₄	—	4	4	no	—
1576	D₄	—	4	4	no	—
1577	D₄	—	4	4	no	—
1578	D₄	—	4	8	no	—
1579	D₄	—	4	4	no	—
1580	D₄	—	4	8	no	—
1581	D₄	—	4	2	no	—
1582	C₂×C₄	—	2	8	no	—
1583	C₂×C₄	—	2	4	no	—
1584	C₂×C₄	—	2	4	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	8	no	—
1587	C₂×C₄	—	2	4	no	—
1588	C₂×C₄	—	2	4	no	—
1589	C₂×C₄	—	4	2	no	—
1590	C₂×C₄	—	4	4	no	—
1591	C₂×C₄	—	4	2	no	—
1592	C₂×C₄	—	4	4	no	—
1593	C₂×C₄	—	4	8	no	—
1594	C₂×C₄	—	4	8	no	—
1595	C₂×C₄	—	4	2	no	—
1596	C₂×C₄	—	4	4	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	2	no	—
1599	C₂×C₄	—	4	8	no	—
1600	C₂×C₄	—	4	8	no	—
1601	C₂×C₄	—	4	4	no	—
1602	C₂×C₄	—	4	4	no	—
1603	C₂×C₄	—	4	4	no	—
1604	C₂×C₄	—	4	8	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	C₃×2₋¹⁺⁴	1	4	yes	—
1607	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1608	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1609	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1610	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1611	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1612	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1613	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1614	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1615	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1616	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1617	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1618	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1619	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1620	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1621	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1622	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1623	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1624	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1625	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1626	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1627	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1628	C₂×C₃	—	2	2	no	—
1629	C₂×C₃	—	4	2	no	—
1630	C₂×C₃	—	4	2	no	—
1631	C₂×C₃	—	4	4	no	—
1632	C₂×C₃	—	4	4	no	—
1633	C₂×C₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1634	C₂×C₃	C₂×#585	1	1	yes	characteristic
1635	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	4	no	—
1641	C₂²	—	2	4	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	2	4	no	—
1644	C₂²	—	2	2	no	—
1645	C₂²	—	2	4	no	—
1646	C₂²	—	2	2	no	—
1647	C₂²	—	2	4	no	—
1648	C₂²	—	2	2	no	—
1649	C₂²	—	2	4	no	—
1650	C₂²	—	4	8	no	—
1651	C₂²	C₂×C₃×2₋¹⁺⁴	1	2	yes	—
1652	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1653	C₄	—	2	4	no	—
1654	C₄	—	2	2	no	—
1655	C₄	—	2	2	no	—
1656	C₄	—	2	4	no	—
1657	C₄	—	2	1	no	—
1658	C₄	—	2	2	no	—
1659	C₄	—	2	2	no	—
1660	C₄	—	2	2	no	—
1661	C₄	—	2	4	no	—
1662	C₄	—	2	2	no	—
1663	C₄	—	2	2	no	—
1664	C₄	—	2	2	no	—
1665	C₄	—	2	2	no	—
1666	C₄	—	2	8	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	2	no	—
1669	C₄	—	2	4	no	—
1670	C₄	—	2	1	no	—
1671	C₄	C₂×C₃×2₋¹⁺⁴	1	2	yes	—
1672	C₄	C₂×C₃×2₋¹⁺⁴	1	2	yes	—
1673	C₄	C₃×#585	1	2	yes	—
1674	C₃	#62926	1	1	yes	characteristic, direct product factor, Sylow
1675	C₂	—	2	2	no	—
1676	C₂	—	4	4	no	—
1677	C₂	—	4	2	no	—
1678	C₂	—	4	2	no	—
1679	C₂	—	4	4	no	—
1680	C₂	C₂²×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1681	C₂	C₂×C₃×#585	1	1	yes	characteristic
1682	C₂	C₃×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3565	C₂	semidirect
2. C₃×#3559	C₂	semidirect
3. C₃×#3557	C₂	semidirect
4. C₃×#3555	C₂	semidirect
5. C₃×#3554	C₂	semidirect
6. C₃×#3548	C₂	semidirect
7. C₃×#3547	C₂	semidirect
8. C₃×#3544	C₂	semidirect
9. C₃×#3541	C₂	semidirect
10. C₃×#3541	C₂	semidirect
11. C₃×#3522	C₂	semidirect
12. C₃×#3515	C₂	semidirect
13. C₃×#3512	C₂	semidirect
14. C₃×#3511	C₂	semidirect
15. C₃×#3511	C₂	semidirect
16. C₃×#3507	C₂	semidirect
17. C₃×#3506	C₂	semidirect
18. C₃×#3506	C₂	semidirect
19. C₃×#3504	C₂	semidirect
20. C₃×#3503	C₂	semidirect
21. C₃×#3492	C₂	semidirect
22. C₃×#3480	C₂	semidirect
23. C₃×Q₈×#41	C₂	semidirect
24. C₂×C₃×#554	C₂	semidirect
25. C₃×#3460	C₂	semidirect
26. C₃×#3460	C₂	semidirect
27. #62926	C₃	direct (N × H)
28. C₃×#563	C₂²	semidirect
29. C₃×#563	C₂²	semidirect
30. C₃×#563	C₂²	semidirect
31. C₃×#562	C₂²	semidirect
32. C₃×#562	C₂²	semidirect
33. C₃×#562	C₂²	semidirect
37. C₃×#559	C₂²	semidirect
38. C₃×#559	C₂²	semidirect
39. C₃×Q₈²	C₂²	semidirect
40. C₃×Q₈²	C₂²	semidirect
41. C₃×#557	C₂²	semidirect
42. C₃×#557	C₂²	semidirect
43. C₃×#557	C₂²	semidirect
44. C₃×#557	C₂²	semidirect
45. C₃×#557	C₂²	semidirect
46. C₃×#557	C₂²	semidirect
49. C₃×#556	C₂²	semidirect
50. C₃×#556	C₂²	semidirect
51. C₃×#556	C₂²	semidirect
52. C₃×#556	C₂²	semidirect
53. C₃×#556	C₂²	semidirect
56. C₃×#555	C₂²	semidirect
68. C₃×#554	C₂²	semidirect
69. C₃×#554	C₂²	semidirect
70. C₃×#554	C₂²	semidirect
71. C₃×#554	C₂²	semidirect
72. C₃×#554	C₂²	semidirect
73. C₃×#554	C₂²	semidirect
82. C₃×#553	C₂²	semidirect
83. C₃×#553	C₂²	semidirect
84. C₃×#552	C₂²	semidirect
85. C₃×#552	C₂²	semidirect
86. C₃×#552	C₂²	semidirect
87. C₃×#552	C₂²	semidirect
88. C₃×#552	C₂²	semidirect
89. C₃×#552	C₂²	semidirect
90. C₃×#552	C₂²	semidirect
93. C₃×#550	C₂²	semidirect
96. C₃×D₄×Q₈	C₂²	semidirect
97. C₃×D₄×Q₈	C₂²	semidirect
100. C₃×#548	C₂²	semidirect
101. C₃×#548	C₂²	semidirect
104. C₃×#547	C₂²	semidirect
105. C₃×#547	C₂²	semidirect
106. C₃×#547	C₂²	semidirect
107. C₃×#547	C₂²	semidirect
108. C₃×#547	C₂²	semidirect
109. C₃×#547	C₂²	semidirect
112. C₃×#544	C₂²	semidirect
113. C₃×#544	C₂²	semidirect
114. C₃×#544	C₂²	semidirect
115. C₃×#544	C₂²	semidirect
120. C₃×#542	C₂²	semidirect
121. C₃×#542	C₂²	semidirect
122. C₃×#542	C₂²	semidirect
123. C₃×#542	C₂²	semidirect
124. C₃×#542	C₂²	semidirect
125. C₃×#542	C₂²	semidirect
126. C₃×#541	C₂²	semidirect
127. C₃×#541	C₂²	semidirect
128. C₃×#541	C₂²	semidirect
133. C₃×#540	C₂²	semidirect
134. C₃×#539	C₂²	semidirect
135. C₃×#539	C₂²	semidirect
136. C₃×#539	C₂²	semidirect
137. C₃×#539	C₂²	semidirect
138. C₃×#539	C₂²	semidirect
145. C₃×#537	C₂²	semidirect
146. C₃×#537	C₂²	semidirect
147. C₃×#537	C₂²	semidirect
148. C₃×#536	C₂²	semidirect
149. C₃×#536	C₂²	semidirect
155. C₃×#533	C₂²	semidirect
156. C₃×#533	C₂²	semidirect
157. C₃×#533	C₂²	semidirect
158. C₃×#533	C₂²	semidirect
159. C₃×#533	C₂²	semidirect
166. C₃×#532	C₂²	semidirect
168. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
173. C₃×#529	C₂²	semidirect
174. C₃×#529	C₂²	semidirect
175. C₃×#529	C₂²	semidirect
176. C₃×#529	C₂²	semidirect
178. C₂×C₃×#125	C₂²	semidirect
188. C₃×#520	C₂²	semidirect
189. C₃×#520	C₂²	semidirect
194. C₃×C₄×#41	C₂²	semidirect
196. C₂×C₃×C₄×Q₈	C₂²	semidirect
200. #3565	C₂×C₃	semidirect
201. #3559	C₂×C₃	semidirect
202. #3557	C₂×C₃	semidirect
203. #3555	C₂×C₃	semidirect
204. #3554	C₂×C₃	semidirect
205. #3548	C₂×C₃	semidirect
206. #3547	C₂×C₃	semidirect
207. #3544	C₂×C₃	semidirect
208. #3541	C₂×C₃	semidirect
209. #3541	C₂×C₃	semidirect
210. #3522	C₂×C₃	semidirect
211. #3515	C₂×C₃	semidirect
212. #3512	C₂×C₃	semidirect
213. #3511	C₂×C₃	semidirect
214. #3511	C₂×C₃	semidirect
215. #3507	C₂×C₃	semidirect
216. #3506	C₂×C₃	semidirect
217. #3506	C₂×C₃	semidirect
218. #3504	C₂×C₃	semidirect
219. #3503	C₂×C₃	semidirect
220. #3492	C₂×C₃	semidirect
221. #3480	C₂×C₃	semidirect
222. Q₈×#41	C₂×C₃	semidirect
223. C₂×#554	C₂×C₃	semidirect
224. #3460	C₂×C₃	semidirect
225. #3460	C₂×C₃	semidirect
546. #563	C₂²×C₃	semidirect
547. #563	C₂²×C₃	semidirect
548. #563	C₂²×C₃	semidirect
549. #562	C₂²×C₃	semidirect
550. #562	C₂²×C₃	semidirect
551. #562	C₂²×C₃	semidirect
555. #559	C₂²×C₃	semidirect
556. #559	C₂²×C₃	semidirect
557. Q₈²	C₂²×C₃	semidirect
558. Q₈²	C₂²×C₃	semidirect
559. #557	C₂²×C₃	semidirect
560. #557	C₂²×C₃	semidirect
561. #557	C₂²×C₃	semidirect
562. #557	C₂²×C₃	semidirect
563. #557	C₂²×C₃	semidirect
564. #557	C₂²×C₃	semidirect
567. #556	C₂²×C₃	semidirect
568. #556	C₂²×C₃	semidirect
569. #556	C₂²×C₃	semidirect
570. #556	C₂²×C₃	semidirect
571. #556	C₂²×C₃	semidirect
574. #555	C₂²×C₃	semidirect
586. #554	C₂²×C₃	semidirect
587. #554	C₂²×C₃	semidirect
588. #554	C₂²×C₃	semidirect
589. #554	C₂²×C₃	semidirect
590. #554	C₂²×C₃	semidirect
591. #554	C₂²×C₃	semidirect
600. #553	C₂²×C₃	semidirect
601. #553	C₂²×C₃	semidirect
602. #552	C₂²×C₃	semidirect
603. #552	C₂²×C₃	semidirect
604. #552	C₂²×C₃	semidirect
605. #552	C₂²×C₃	semidirect
606. #552	C₂²×C₃	semidirect
607. #552	C₂²×C₃	semidirect
608. #552	C₂²×C₃	semidirect
611. #550	C₂²×C₃	semidirect
614. D₄×Q₈	C₂²×C₃	semidirect
615. D₄×Q₈	C₂²×C₃	semidirect
618. #548	C₂²×C₃	semidirect
619. #548	C₂²×C₃	semidirect
622. #547	C₂²×C₃	semidirect
623. #547	C₂²×C₃	semidirect
624. #547	C₂²×C₃	semidirect
625. #547	C₂²×C₃	semidirect
626. #547	C₂²×C₃	semidirect
627. #547	C₂²×C₃	semidirect
630. #544	C₂²×C₃	semidirect
631. #544	C₂²×C₃	semidirect
632. #544	C₂²×C₃	semidirect
633. #544	C₂²×C₃	semidirect
638. #542	C₂²×C₃	semidirect
639. #542	C₂²×C₃	semidirect
640. #542	C₂²×C₃	semidirect
641. #542	C₂²×C₃	semidirect
642. #542	C₂²×C₃	semidirect
643. #542	C₂²×C₃	semidirect
644. #541	C₂²×C₃	semidirect
645. #541	C₂²×C₃	semidirect
646. #541	C₂²×C₃	semidirect
651. #540	C₂²×C₃	semidirect
652. #539	C₂²×C₃	semidirect
653. #539	C₂²×C₃	semidirect
654. #539	C₂²×C₃	semidirect
655. #539	C₂²×C₃	semidirect
656. #539	C₂²×C₃	semidirect
663. #537	C₂²×C₃	semidirect
664. #537	C₂²×C₃	semidirect
665. #537	C₂²×C₃	semidirect
666. #536	C₂²×C₃	semidirect
667. #536	C₂²×C₃	semidirect
673. #533	C₂²×C₃	semidirect
674. #533	C₂²×C₃	semidirect
675. #533	C₂²×C₃	semidirect
676. #533	C₂²×C₃	semidirect
677. #533	C₂²×C₃	semidirect
684. #532	C₂²×C₃	semidirect
686. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
691. #529	C₂²×C₃	semidirect
692. #529	C₂²×C₃	semidirect
693. #529	C₂²×C₃	semidirect
694. #529	C₂²×C₃	semidirect
696. C₂×#125	C₂²×C₃	semidirect
706. #520	C₂²×C₃	semidirect
707. #520	C₂²×C₃	semidirect
712. C₄×#41	C₂²×C₃	semidirect
714. C₂×C₄×Q₈	C₂²×C₃	semidirect
1674. C₃	#62926	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#3565	2
C₃×#3559	2
C₃×#3557	2
C₃×#3555	2
C₃×#3554	2
C₃×#3548	2
C₃×#3547	2
C₃×#3544	2
C₃×#3541	2
C₃×#3522	2
C₃×#3515	2
C₃×#3512	2
C₃×#3511	2
C₃×#3507	2
C₃×#3506	2
C₃×#3504	2
C₃×#3503	2
C₃×#3492	2
C₃×#3480	2
C₃×Q₈×#41	2
C₂×C₃×#554	2
C₃×#3460	2
#62926	3

Subgroups — C3×#62926 #10681533

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62926 #10681533