Subgroups — C₃×#62958 #10681565

Order 768.

6572 conjugacy classes of subgroups.

The subgroup lattice has 1504 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×#3565	C₂	1	4	yes	maximal, complemented
3	C₃×#3564	C₂	1	4	yes	maximal, complemented
4	C₃×#3559	C₂	1	4	yes	maximal, complemented
5	C₃×#3559	C₂	1	4	yes	maximal, complemented
6	C₃×#3552	C₂	1	4	yes	maximal, complemented
7	C₃×#3547	C₂	1	4	yes	maximal, complemented
8	C₃×#3536	C₂	1	4	yes	maximal, complemented
9	C₃×#3535	C₂	1	4	yes	maximal, complemented
10	C₃×#3520	C₂	1	4	yes	maximal, complemented
11	C₃×#3515	C₂	1	4	yes	maximal, complemented
12	C₃×#3511	C₂	1	4	yes	maximal, complemented
13	C₃×#3504	C₂	1	2	yes	maximal, complemented
14	C₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3494	C₂	1	2	yes	maximal, complemented
16	C₃×#3494	C₂	1	2	yes	maximal, complemented
17	C₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3475	C₂	1	2	yes	maximal, complemented
20	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#544	C₂	1	1	yes	maximal, characteristic, complemented
24	#62958	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₃×#563	C₂²	1	8	yes	complemented
26	C₃×#563	C₂²	1	8	yes	complemented
27	C₃×#563	C₂²	1	8	yes	complemented
28	C₃×#562	C₂²	1	8	yes	complemented
29	C₃×#562	C₂²	1	8	yes	complemented
30	C₃×#562	C₂²	1	8	yes	complemented
31	C₃×#557	C₂²	1	4	yes	complemented
32	C₃×#557	C₂²	1	4	yes	complemented
33	C₃×#556	C₂²	1	2	yes	complemented
34	C₃×#556	C₂²	1	4	yes	complemented
35	C₃×#556	C₂²	1	8	yes	complemented
36	C₃×#556	C₂²	1	4	yes	complemented
37	C₃×#555	C₂²	1	2	yes	complemented
38	C₃×#555	C₂²	1	4	yes	complemented
39	C₃×#555	C₂²	1	4	yes	complemented
40	C₃×#555	C₂²	1	4	yes	complemented
41	C₃×#554	C₂²	1	8	yes	—
42	C₃×#554	C₂²	1	8	yes	—
43	C₃×#554	C₂²	1	2	yes	complemented
44	C₃×#554	C₂²	1	4	yes	complemented
45	C₃×#554	C₂²	1	4	yes	complemented
46	C₃×#554	C₂²	1	4	yes	complemented
47	C₃×#554	C₂²	1	4	yes	complemented
48	C₃×#554	C₂²	1	4	yes	complemented
49	C₃×#554	C₂²	1	4	yes	complemented
50	C₃×#553	C₂²	1	4	yes	—
51	C₃×#553	C₂²	1	4	yes	—
52	C₃×#553	C₂²	1	4	yes	—
53	C₃×#553	C₂²	1	4	yes	—
54	C₃×#553	C₂²	1	2	yes	complemented
55	C₃×#553	C₂²	1	2	yes	complemented
56	C₃×#553	C₂²	1	4	yes	complemented
57	C₃×#553	C₂²	1	4	yes	complemented
58	C₃×#553	C₂²	1	4	yes	complemented
59	C₃×#553	C₂²	1	4	yes	complemented
60	C₃×#553	C₂²	1	4	yes	complemented
61	C₃×#553	C₂²	1	4	yes	complemented
62	C₃×#552	C₂²	1	4	yes	—
63	C₃×#552	C₂²	1	2	yes	complemented
64	C₃×#552	C₂²	1	2	yes	complemented
65	C₃×#552	C₂²	1	4	yes	complemented
66	C₃×#552	C₂²	1	4	yes	complemented
67	C₃×#552	C₂²	1	4	yes	complemented
68	C₃×#552	C₂²	1	8	yes	complemented
69	C₃×#552	C₂²	1	8	yes	complemented
70	C₃×#552	C₂²	1	4	yes	complemented
71	C₃×#551	C₂²	1	4	yes	—
72	C₃×#551	C₂²	1	4	yes	—
73	C₃×#551	C₂²	1	8	yes	—
74	C₃×#551	C₂²	1	8	yes	—
75	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
76	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
77	C₃×#548	C₂²	1	4	yes	complemented
78	C₃×#548	C₂²	1	8	yes	complemented
79	C₃×#548	C₂²	1	4	yes	complemented
80	C₃×#547	C₂²	1	2	yes	complemented
81	C₃×#547	C₂²	1	4	yes	complemented
82	C₃×#547	C₂²	1	4	yes	complemented
83	C₃×#547	C₂²	1	4	yes	complemented
84	C₃×#547	C₂²	1	8	yes	complemented
85	C₃×#547	C₂²	1	8	yes	complemented
86	C₃×#547	C₂²	1	4	yes	complemented
87	C₃×#547	C₂²	1	4	yes	complemented
88	C₃×#546	C₂²	1	4	yes	—
89	C₃×#546	C₂²	1	8	yes	—
90	C₃×#546	C₂²	1	8	yes	—
91	C₃×#544	C₂²	1	1	yes	characteristic
92	C₃×#544	C₂²	1	1	yes	characteristic
93	C₃×#544	C₂²	1	2	yes	—
94	C₃×#544	C₂²	1	4	yes	—
95	C₃×#544	C₂²	1	1	yes	characteristic
96	C₃×#544	C₂²	1	2	yes	—
97	C₃×#544	C₂²	1	4	yes	complemented
98	C₃×#544	C₂²	1	4	yes	complemented
99	C₃×#544	C₂²	1	4	yes	complemented
100	C₃×#544	C₂²	1	4	yes	complemented
101	C₃×#544	C₂²	1	4	yes	complemented
102	C₃×#544	C₂²	1	4	yes	complemented
103	C₃×#543	C₂²	1	4	yes	—
104	C₃×#543	C₂²	1	4	yes	—
105	C₃×#542	C₂²	1	4	yes	complemented
106	C₃×#542	C₂²	1	4	yes	complemented
107	C₃×#542	C₂²	1	4	yes	complemented
108	C₃×#542	C₂²	1	8	yes	complemented
109	C₃×#542	C₂²	1	8	yes	complemented
110	C₃×#542	C₂²	1	8	yes	complemented
111	C₃×#542	C₂²	1	8	yes	complemented
112	C₃×#541	C₂²	1	8	yes	complemented
113	C₃×#541	C₂²	1	8	yes	complemented
114	C₃×#540	C₂²	1	4	yes	complemented
115	C₃×#540	C₂²	1	4	yes	complemented
116	C₃×#540	C₂²	1	4	yes	complemented
117	C₃×#539	C₂²	1	4	yes	—
118	C₃×#539	C₂²	1	8	yes	complemented
119	C₃×#539	C₂²	1	8	yes	complemented
120	C₃×#539	C₂²	1	8	yes	complemented
121	C₃×#539	C₂²	1	8	yes	complemented
122	C₃×#539	C₂²	1	8	yes	complemented
123	C₃×#539	C₂²	1	8	yes	complemented
124	C₃×#538	C₂²	1	4	yes	—
125	C₃×#538	C₂²	1	4	yes	—
126	C₃×#537	C₂²	1	1	yes	characteristic
127	C₃×#537	C₂²	1	8	yes	complemented
128	C₃×#537	C₂²	1	8	yes	complemented
129	C₃×#536	C₂²	1	8	yes	complemented
130	C₃×#535	C₂²	1	2	yes	—
131	C₃×#533	C₂²	1	4	yes	—
132	C₃×#533	C₂²	1	2	yes	—
133	C₃×#533	C₂²	1	4	yes	complemented
134	C₃×#533	C₂²	1	4	yes	complemented
135	C₃×#533	C₂²	1	4	yes	complemented
136	C₃×#532	C₂²	1	4	yes	complemented
137	C₃×#532	C₂²	1	4	yes	complemented
138	C₃×#532	C₂²	1	4	yes	complemented
139	C₂×C₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
140	C₃×#529	C₂²	1	4	yes	—
141	C₃×#529	C₂²	1	4	yes	complemented
142	C₃×#529	C₂²	1	4	yes	complemented
143	C₃×#529	C₂²	1	4	yes	complemented
144	C₃×#529	C₂²	1	4	yes	complemented
145	C₃×#529	C₂²	1	4	yes	complemented
146	C₃×#529	C₂²	1	4	yes	complemented
147	C₂×C₃×#126	C₂²	1	2	yes	—
148	C₂×C₃×#125	C₂²	1	1	yes	characteristic
149	C₂×C₃×#125	C₂²	1	4	yes	complemented
150	C₂×C₃×#125	C₂²	1	4	yes	complemented
151	C₃×#525	C₂²	1	4	yes	—
152	C₃×#525	C₂²	1	2	yes	—
153	C₃×#525	C₂²	1	2	yes	—
154	C₃×#525	C₂²	1	4	yes	—
155	C₂×C₃×#123	C₂²	1	2	yes	—
156	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	—
157	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	—
158	C₂×C₃×#121	C₂²	1	1	yes	characteristic
159	C₂×C₃×#121	C₂²	1	1	yes	characteristic
160	C₂×C₃×#121	C₂²	1	2	yes	—
161	C₃×#520	C₂²	1	2	yes	—
162	C₃×#520	C₂²	1	2	yes	—
163	C₃×#520	C₂²	1	8	yes	complemented
164	C₃×#518	C₂²	1	2	yes	—
165	C₃×C₄×#41	C₂²	1	2	yes	—
166	C₃×C₄×#41	C₂²	1	4	yes	complemented
167	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
168	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
169	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
170	C₂×C₃×#117	C₂²	1	2	yes	—
171	C₂×C₃×#117	C₂²	1	1	yes	characteristic
172	C₂×C₃×#117	C₂²	1	2	yes	—
173	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
174	#3565	C₂×C₃	1	4	yes	complemented
175	#3565	C₂×C₃	1	4	yes	complemented
176	#3564	C₂×C₃	1	4	yes	complemented
177	#3559	C₂×C₃	1	4	yes	complemented
178	#3559	C₂×C₃	1	4	yes	complemented
179	#3552	C₂×C₃	1	4	yes	complemented
180	#3547	C₂×C₃	1	4	yes	complemented
181	#3536	C₂×C₃	1	4	yes	complemented
182	#3535	C₂×C₃	1	4	yes	complemented
183	#3520	C₂×C₃	1	4	yes	complemented
184	#3515	C₂×C₃	1	4	yes	complemented
185	#3511	C₂×C₃	1	4	yes	complemented
186	#3504	C₂×C₃	1	2	yes	complemented
187	#3501	C₂×C₃	1	1	yes	characteristic, complemented
188	#3494	C₂×C₃	1	2	yes	complemented
189	#3494	C₂×C₃	1	2	yes	complemented
190	#3493	C₂×C₃	1	1	yes	characteristic, complemented
191	#3492	C₂×C₃	1	1	yes	characteristic, complemented
192	#3475	C₂×C₃	1	2	yes	complemented
193	C₂×#553	C₂×C₃	1	1	yes	characteristic, complemented
194	#3460	C₂×C₃	1	1	yes	characteristic, complemented
195	#3458	C₂×C₃	1	1	yes	characteristic, complemented
196	C₂×#544	C₂×C₃	1	1	yes	characteristic, complemented
197	C₂×C₃×#41	C₂³	1	2	yes	—
198	C₂×C₃×#41	C₂³	1	4	yes	—
199	C₂×C₃×#41	C₂³	1	8	yes	—
200	C₂×C₃×#41	C₂³	1	4	yes	—
201	C₂×C₃×#41	C₂³	1	4	yes	—
202	C₂×C₃×#41	C₂³	1	8	yes	—
203	C₂²×C₃×Q₈	C₂³	1	4	yes	—
204	C₂²×C₃×Q₈	C₂³	1	4	yes	—
205	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₃×D₄	C₂³	1	2	yes	—
208	C₂²×C₃×D₄	C₂³	1	2	yes	—
209	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
210	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
211	C₂³×C₃×C₄	C₂³	1	2	yes	—
212	C₂³×C₃×C₄	C₂³	1	2	yes	—
213	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
214	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
216	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
217	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
218	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
219	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
220	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
221	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
222	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
223	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
224	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
225	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
226	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
227	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
228	C₃×#127	C₂³	1	4	yes	—
229	C₃×#126	C₂³	1	8	yes	—
230	C₃×#126	C₂³	1	8	yes	—
231	C₃×#126	C₂³	1	4	yes	—
232	C₃×#126	C₂³	1	4	yes	—
233	C₃×#126	C₂³	1	8	yes	—
234	C₃×#126	C₂³	1	8	yes	—
235	C₃×#126	C₂³	1	8	yes	—
236	C₃×#126	C₂³	1	8	yes	—
237	C₃×#126	C₂³	1	8	yes	—
238	C₃×#126	C₂³	1	8	yes	—
239	C₃×#126	C₂³	1	8	yes	—
240	C₃×#126	C₂³	1	4	yes	—
241	C₃×#126	C₂³	1	4	yes	—
242	C₃×#126	C₂³	1	8	yes	—
243	C₃×#126	C₂³	1	4	yes	—
244	C₃×#126	C₂³	1	4	yes	—
245	C₃×#125	C₂³	1	8	yes	—
246	C₃×#125	C₂³	1	8	yes	—
247	C₃×#125	C₂³	1	8	yes	—
248	C₃×#125	C₂³	1	4	yes	—
249	C₃×#125	C₂³	1	4	yes	—
250	C₃×#125	C₂³	1	8	yes	—
251	C₃×#125	C₂³	1	8	yes	—
252	C₃×#125	C₂³	1	4	yes	—
253	C₃×#125	C₂³	1	4	yes	—
254	C₃×#125	C₂³	1	4	yes	—
255	C₃×#125	C₂³	1	2	yes	—
256	C₃×#125	C₂³	1	4	yes	—
257	C₃×#125	C₂³	1	4	yes	—
258	C₃×#125	C₂³	1	8	yes	—
259	C₃×#125	C₂³	1	8	yes	—
260	C₃×#125	C₂³	1	4	yes	—
261	C₃×#125	C₂³	1	4	yes	—
262	C₃×#125	C₂³	1	4	yes	—
263	C₃×#125	C₂³	1	4	yes	—
264	C₃×#125	C₂³	1	2	yes	—
265	C₃×#125	C₂³	1	8	yes	—
266	C₃×#125	C₂³	1	4	yes	—
267	C₃×#125	C₂³	1	4	yes	—
268	C₃×#124	C₂³	1	4	yes	—
269	C₃×#124	C₂³	1	4	yes	—
270	C₃×#124	C₂³	1	8	yes	—
271	C₃×#124	C₂³	1	8	yes	—
272	C₃×#124	C₂³	1	8	yes	—
273	C₃×#124	C₂³	1	8	yes	—
274	C₃×#124	C₂³	1	8	yes	—
275	C₃×#124	C₂³	1	4	yes	—
276	C₃×#124	C₂³	1	4	yes	—
277	C₃×#124	C₂³	1	4	yes	—
278	C₃×#124	C₂³	1	8	yes	—
279	C₃×#123	C₂³	1	8	yes	—
280	C₃×#123	C₂³	1	4	yes	—
281	C₃×#123	C₂³	1	4	yes	—
282	C₃×#123	C₂³	1	8	yes	—
283	C₃×#123	C₂³	1	8	yes	—
284	C₃×#123	C₂³	1	8	yes	—
285	C₃×#123	C₂³	1	8	yes	—
286	C₃×#123	C₂³	1	8	yes	—
287	C₃×#123	C₂³	1	8	yes	—
288	C₃×#123	C₂³	1	8	yes	—
289	C₃×#123	C₂³	1	8	yes	—
290	C₃×#123	C₂³	1	8	yes	—
291	C₃×#123	C₂³	1	8	yes	—
292	C₃×#123	C₂³	1	8	yes	—
293	C₃×#123	C₂³	1	8	yes	—
294	C₃×#123	C₂³	1	4	yes	—
295	C₃×#123	C₂³	1	8	yes	—
296	C₃×#123	C₂³	1	4	yes	—
297	C₃×#123	C₂³	1	4	yes	—
298	C₃×#123	C₂³	1	8	yes	—
299	C₃×#123	C₂³	1	4	yes	—
300	C₃×#123	C₂³	1	4	yes	—
301	C₃×#123	C₂³	1	4	yes	—
302	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
307	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
308	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
309	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
310	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
311	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
312	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
313	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
317	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
318	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
319	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
322	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
323	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
325	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
326	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
328	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
329	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
331	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
332	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
340	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
341	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₃×#121	C₂³	1	8	yes	—
343	C₃×#121	C₂³	1	4	yes	—
344	C₃×#121	C₂³	1	4	yes	—
345	C₃×#121	C₂³	1	4	yes	—
346	C₃×#121	C₂³	1	8	yes	—
347	C₃×#121	C₂³	1	8	yes	—
348	C₃×#121	C₂³	1	8	yes	—
349	C₃×#121	C₂³	1	8	yes	—
350	C₃×#121	C₂³	1	8	yes	—
351	C₃×#121	C₂³	1	8	yes	—
352	C₃×#121	C₂³	1	4	yes	—
353	C₃×#121	C₂³	1	4	yes	—
354	C₃×#121	C₂³	1	8	yes	—
355	C₃×#121	C₂³	1	4	yes	—
356	C₃×#121	C₂³	1	4	yes	—
357	C₃×#121	C₂³	1	4	yes	—
358	C₃×#121	C₂³	1	2	yes	—
359	C₃×#121	C₂³	1	2	yes	—
360	C₃×#121	C₂³	1	4	yes	—
361	C₃×#121	C₂³	1	2	yes	—
362	C₃×#121	C₂³	1	2	yes	—
363	C₃×#121	C₂³	1	4	yes	—
364	C₃×#121	C₂³	1	4	yes	—
365	C₃×#121	C₂³	1	4	yes	—
366	C₃×#121	C₂³	1	4	yes	—
367	C₃×#121	C₂³	1	8	yes	—
368	C₃×#121	C₂³	1	8	yes	—
369	C₃×#120	C₂³	1	4	yes	—
370	C₃×#120	C₂³	1	8	yes	—
371	C₃×#120	C₂³	1	4	yes	—
372	C₃×C₄×Q₈	C₂³	1	2	yes	—
373	C₃×C₄×Q₈	C₂³	1	2	yes	—
374	C₃×C₄×Q₈	C₂³	1	4	yes	—
375	C₃×C₄×Q₈	C₂³	1	4	yes	—
376	C₃×C₄×Q₈	C₂³	1	4	yes	—
377	C₃×C₄×Q₈	C₂³	1	4	yes	—
378	C₃×C₄×Q₈	C₂³	1	8	yes	—
379	C₃×C₄×Q₈	C₂³	1	8	yes	—
380	C₃×C₄×Q₈	C₂³	1	4	yes	—
381	C₃×C₄×Q₈	C₂³	1	4	yes	—
382	C₃×C₄×Q₈	C₂³	1	4	yes	—
383	C₃×C₄×Q₈	C₂³	1	4	yes	—
384	C₃×C₄×Q₈	C₂³	1	8	yes	—
385	C₃×C₄×D₄	C₂³	1	2	yes	—
386	C₃×C₄×D₄	C₂³	1	4	yes	—
387	C₃×C₄×D₄	C₂³	1	2	yes	—
388	C₃×C₄×D₄	C₂³	1	2	yes	—
389	C₃×C₄×D₄	C₂³	1	2	yes	—
390	C₃×C₄×D₄	C₂³	1	4	yes	—
391	C₃×C₄×D₄	C₂³	1	4	yes	—
392	C₃×C₄×D₄	C₂³	1	4	yes	—
393	C₃×C₄×D₄	C₂³	1	4	yes	—
394	C₃×C₄×D₄	C₂³	1	4	yes	—
395	C₃×C₄×D₄	C₂³	1	4	yes	—
396	C₃×C₄×D₄	C₂³	1	2	yes	—
397	C₃×C₄×D₄	C₂³	1	4	yes	—
398	C₃×C₄×D₄	C₂³	1	2	yes	—
399	C₃×C₄×D₄	C₂³	1	4	yes	—
400	C₃×C₄×D₄	C₂³	1	4	yes	—
401	C₃×C₄×D₄	C₂³	1	4	yes	—
402	C₃×C₄×D₄	C₂³	1	4	yes	—
403	C₃×C₄×D₄	C₂³	1	4	yes	—
404	C₃×C₄×D₄	C₂³	1	4	yes	—
405	C₃×C₄×D₄	C₂³	1	4	yes	—
406	C₃×C₄×D₄	C₂³	1	4	yes	—
407	C₃×C₄×D₄	C₂³	1	4	yes	—
408	C₃×C₄×D₄	C₂³	1	8	yes	—
409	C₃×C₄×D₄	C₂³	1	8	yes	—
410	C₃×C₄×D₄	C₂³	1	4	yes	—
411	C₃×C₄×D₄	C₂³	1	4	yes	—
412	C₃×C₄×D₄	C₂³	1	8	yes	—
413	C₃×C₄×D₄	C₂³	1	8	yes	—
414	C₃×C₄×D₄	C₂³	1	8	yes	—
415	C₃×C₄×D₄	C₂³	1	8	yes	—
416	C₃×C₄×D₄	C₂³	1	4	yes	—
417	C₃×C₄×D₄	C₂³	1	4	yes	—
418	C₃×C₄×D₄	C₂³	1	4	yes	—
419	C₃×C₄×D₄	C₂³	1	8	yes	—
420	C₃×C₄×D₄	C₂³	1	8	yes	—
421	C₃×#117	C₂³	1	2	yes	—
422	C₃×#117	C₂³	1	2	yes	—
423	C₃×#117	C₂³	1	2	yes	—
424	C₃×#117	C₂³	1	4	yes	—
425	C₃×#117	C₂³	1	4	yes	—
426	C₃×#117	C₂³	1	4	yes	—
427	C₃×#117	C₂³	1	4	yes	—
428	C₃×#117	C₂³	1	2	yes	—
429	C₃×#117	C₂³	1	2	yes	—
430	C₃×#117	C₂³	1	4	yes	—
431	C₃×#117	C₂³	1	2	yes	—
432	C₃×#117	C₂³	1	4	yes	—
433	C₃×#117	C₂³	1	2	yes	—
434	C₃×#117	C₂³	1	4	yes	—
435	C₃×#117	C₂³	1	4	yes	—
436	C₃×#117	C₂³	1	4	yes	—
437	C₃×#117	C₂³	1	4	yes	—
438	C₃×#117	C₂³	1	4	yes	—
439	C₃×#117	C₂³	1	4	yes	—
440	C₃×#117	C₂³	1	8	yes	—
441	C₃×#117	C₂³	1	8	yes	—
442	C₃×#117	C₂³	1	4	yes	—
443	C₃×#117	C₂³	1	4	yes	—
444	C₃×#117	C₂³	1	8	yes	—
445	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
446	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
448	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
449	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
450	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
452	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
453	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
454	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
456	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
458	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
459	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
460	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
461	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
462	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
463	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
464	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
465	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
466	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
467	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
468	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
469	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
471	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
472	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
473	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
474	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
475	C₂×C₃×C₄²	C₂³	1	2	yes	—
476	C₂×C₃×C₄²	C₂³	1	4	yes	—
477	C₂×C₃×C₄²	C₂³	1	4	yes	—
478	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
479	C₂×C₃×C₄²	C₂³	1	4	yes	—
480	#563	C₂²×C₃	1	8	yes	complemented
481	#563	C₂²×C₃	1	8	yes	complemented
482	#563	C₂²×C₃	1	8	yes	complemented
483	#562	C₂²×C₃	1	8	yes	complemented
484	#562	C₂²×C₃	1	8	yes	complemented
485	#562	C₂²×C₃	1	8	yes	complemented
486	#557	C₂²×C₃	1	4	yes	complemented
487	#557	C₂²×C₃	1	4	yes	complemented
488	#556	C₂²×C₃	1	2	yes	complemented
489	#556	C₂²×C₃	1	4	yes	complemented
490	#556	C₂²×C₃	1	8	yes	complemented
491	#556	C₂²×C₃	1	4	yes	complemented
492	#555	C₂²×C₃	1	2	yes	complemented
493	#555	C₂²×C₃	1	4	yes	complemented
494	#555	C₂²×C₃	1	4	yes	complemented
495	#555	C₂²×C₃	1	4	yes	complemented
496	#554	C₂²×C₃	1	8	yes	—
497	#554	C₂²×C₃	1	8	yes	—
498	#554	C₂²×C₃	1	2	yes	complemented
499	#554	C₂²×C₃	1	4	yes	complemented
500	#554	C₂²×C₃	1	4	yes	complemented
501	#554	C₂²×C₃	1	4	yes	complemented
502	#554	C₂²×C₃	1	4	yes	complemented
503	#554	C₂²×C₃	1	4	yes	complemented
504	#554	C₂²×C₃	1	4	yes	complemented
505	#553	C₂²×C₃	1	4	yes	—
506	#553	C₂²×C₃	1	4	yes	—
507	#553	C₂²×C₃	1	4	yes	—
508	#553	C₂²×C₃	1	4	yes	—
509	#553	C₂²×C₃	1	2	yes	complemented
510	#553	C₂²×C₃	1	2	yes	complemented
511	#553	C₂²×C₃	1	4	yes	complemented
512	#553	C₂²×C₃	1	4	yes	complemented
513	#553	C₂²×C₃	1	4	yes	complemented
514	#553	C₂²×C₃	1	4	yes	complemented
515	#553	C₂²×C₃	1	4	yes	complemented
516	#553	C₂²×C₃	1	4	yes	complemented
517	#552	C₂²×C₃	1	4	yes	—
518	#552	C₂²×C₃	1	2	yes	complemented
519	#552	C₂²×C₃	1	2	yes	complemented
520	#552	C₂²×C₃	1	4	yes	complemented
521	#552	C₂²×C₃	1	4	yes	complemented
522	#552	C₂²×C₃	1	4	yes	complemented
523	#552	C₂²×C₃	1	8	yes	complemented
524	#552	C₂²×C₃	1	8	yes	complemented
525	#552	C₂²×C₃	1	4	yes	complemented
526	#551	C₂²×C₃	1	4	yes	—
527	#551	C₂²×C₃	1	4	yes	—
528	#551	C₂²×C₃	1	8	yes	—
529	#551	C₂²×C₃	1	8	yes	—
530	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
531	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
532	#548	C₂²×C₃	1	4	yes	complemented
533	#548	C₂²×C₃	1	8	yes	complemented
534	#548	C₂²×C₃	1	4	yes	complemented
535	#547	C₂²×C₃	1	2	yes	complemented
536	#547	C₂²×C₃	1	4	yes	complemented
537	#547	C₂²×C₃	1	4	yes	complemented
538	#547	C₂²×C₃	1	4	yes	complemented
539	#547	C₂²×C₃	1	8	yes	complemented
540	#547	C₂²×C₃	1	8	yes	complemented
541	#547	C₂²×C₃	1	4	yes	complemented
542	#547	C₂²×C₃	1	4	yes	complemented
543	#546	C₂²×C₃	1	4	yes	—
544	#546	C₂²×C₃	1	8	yes	—
545	#546	C₂²×C₃	1	8	yes	—
546	#544	C₂²×C₃	1	1	yes	characteristic
547	#544	C₂²×C₃	1	1	yes	characteristic
548	#544	C₂²×C₃	1	2	yes	—
549	#544	C₂²×C₃	1	4	yes	—
550	#544	C₂²×C₃	1	1	yes	characteristic
551	#544	C₂²×C₃	1	2	yes	—
552	#544	C₂²×C₃	1	4	yes	complemented
553	#544	C₂²×C₃	1	4	yes	complemented
554	#544	C₂²×C₃	1	4	yes	complemented
555	#544	C₂²×C₃	1	4	yes	complemented
556	#544	C₂²×C₃	1	4	yes	complemented
557	#544	C₂²×C₃	1	4	yes	complemented
558	#543	C₂²×C₃	1	4	yes	—
559	#543	C₂²×C₃	1	4	yes	—
560	#542	C₂²×C₃	1	4	yes	complemented
561	#542	C₂²×C₃	1	4	yes	complemented
562	#542	C₂²×C₃	1	4	yes	complemented
563	#542	C₂²×C₃	1	8	yes	complemented
564	#542	C₂²×C₃	1	8	yes	complemented
565	#542	C₂²×C₃	1	8	yes	complemented
566	#542	C₂²×C₃	1	8	yes	complemented
567	#541	C₂²×C₃	1	8	yes	complemented
568	#541	C₂²×C₃	1	8	yes	complemented
569	#540	C₂²×C₃	1	4	yes	complemented
570	#540	C₂²×C₃	1	4	yes	complemented
571	#540	C₂²×C₃	1	4	yes	complemented
572	#539	C₂²×C₃	1	4	yes	—
573	#539	C₂²×C₃	1	8	yes	complemented
574	#539	C₂²×C₃	1	8	yes	complemented
575	#539	C₂²×C₃	1	8	yes	complemented
576	#539	C₂²×C₃	1	8	yes	complemented
577	#539	C₂²×C₃	1	8	yes	complemented
578	#539	C₂²×C₃	1	8	yes	complemented
579	#538	C₂²×C₃	1	4	yes	—
580	#538	C₂²×C₃	1	4	yes	—
581	#537	C₂²×C₃	1	1	yes	characteristic
582	#537	C₂²×C₃	1	8	yes	complemented
583	#537	C₂²×C₃	1	8	yes	complemented
584	#536	C₂²×C₃	1	8	yes	complemented
585	#535	C₂²×C₃	1	2	yes	—
586	#533	C₂²×C₃	1	4	yes	—
587	#533	C₂²×C₃	1	2	yes	—
588	#533	C₂²×C₃	1	4	yes	complemented
589	#533	C₂²×C₃	1	4	yes	complemented
590	#533	C₂²×C₃	1	4	yes	complemented
591	#532	C₂²×C₃	1	4	yes	complemented
592	#532	C₂²×C₃	1	4	yes	complemented
593	#532	C₂²×C₃	1	4	yes	complemented
594	C₂×C₄⋊Q₈	C₂²×C₃	1	4	yes	complemented
595	#529	C₂²×C₃	1	4	yes	—
596	#529	C₂²×C₃	1	4	yes	complemented
597	#529	C₂²×C₃	1	4	yes	complemented
598	#529	C₂²×C₃	1	4	yes	complemented
599	#529	C₂²×C₃	1	4	yes	complemented
600	#529	C₂²×C₃	1	4	yes	complemented
601	#529	C₂²×C₃	1	4	yes	complemented
602	C₂×#126	C₂²×C₃	1	2	yes	—
603	C₂×#125	C₂²×C₃	1	1	yes	characteristic
604	C₂×#125	C₂²×C₃	1	4	yes	complemented
605	C₂×#125	C₂²×C₃	1	4	yes	complemented
606	#525	C₂²×C₃	1	4	yes	—
607	#525	C₂²×C₃	1	2	yes	—
608	#525	C₂²×C₃	1	2	yes	—
609	#525	C₂²×C₃	1	4	yes	—
610	C₂×#123	C₂²×C₃	1	2	yes	—
611	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
612	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
613	C₂×#121	C₂²×C₃	1	1	yes	characteristic
614	C₂×#121	C₂²×C₃	1	1	yes	characteristic
615	C₂×#121	C₂²×C₃	1	2	yes	—
616	#520	C₂²×C₃	1	2	yes	—
617	#520	C₂²×C₃	1	2	yes	—
618	#520	C₂²×C₃	1	8	yes	complemented
619	#518	C₂²×C₃	1	2	yes	—
620	C₄×#41	C₂²×C₃	1	2	yes	—
621	C₄×#41	C₂²×C₃	1	4	yes	complemented
622	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
623	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
624	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
625	C₂×#117	C₂²×C₃	1	2	yes	—
626	C₂×#117	C₂²×C₃	1	1	yes	characteristic
627	C₂×#117	C₂²×C₃	1	2	yes	—
628	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
629	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
630	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
631	C₂⁴×C₃	C₂⁴	1	2	yes	—
632	C₃×#41	—	2	8	no	—
633	C₃×#41	—	4	8	no	—
634	C₃×#41	—	4	16	no	—
635	C₃×#41	—	8	4	no	—
636	C₃×#41	—	8	4	no	—
637	C₃×#41	—	8	8	no	—
638	C₂×C₃×Q₈	—	8	4	no	—
639	C₂×C₃×Q₈	—	8	4	no	—
640	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
641	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
642	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
643	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
644	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
645	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
646	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
647	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
648	C₂×C₃×D₄	—	2	4	no	—
649	C₂×C₃×D₄	—	4	2	no	—
650	C₂×C₃×D₄	—	4	4	no	—
651	C₂×C₃×D₄	—	8	2	no	—
652	C₂×C₃×D₄	C₂⁴	1	4	yes	—
653	C₂×C₃×D₄	C₂⁴	1	4	yes	—
654	C₂×C₃×D₄	C₂⁴	1	2	yes	—
655	C₂×C₃×D₄	C₂⁴	1	4	yes	—
656	C₂×C₃×D₄	C₂⁴	1	2	yes	—
657	C₂×C₃×D₄	C₂⁴	1	4	yes	—
658	C₂×C₃×D₄	C₂⁴	1	4	yes	—
659	C₂×C₃×D₄	C₂⁴	1	8	yes	—
660	C₂×C₃×D₄	C₂⁴	1	2	yes	—
661	C₂×C₃×D₄	C₂⁴	1	4	yes	—
662	C₂×C₃×D₄	C₂⁴	1	4	yes	—
663	C₂×C₃×D₄	C₂⁴	1	4	yes	—
664	C₂×C₃×D₄	C₂⁴	1	8	yes	—
665	C₂×C₃×D₄	C₂⁴	1	4	yes	—
666	C₂×C₃×D₄	C₂⁴	1	8	yes	—
667	C₂²×C₃×C₄	—	2	4	no	—
668	C₂²×C₃×C₄	—	2	4	no	—
669	C₂²×C₃×C₄	—	8	2	no	—
670	C₂²×C₃×C₄	—	8	2	no	—
671	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
672	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
673	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
674	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
675	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
676	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
677	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
678	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
679	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
680	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
681	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
682	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
683	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
684	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
685	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
686	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
687	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
688	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
689	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
690	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
691	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
692	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
693	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
694	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
695	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
696	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
697	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
698	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
699	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
701	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
702	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
703	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
704	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
705	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
706	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
707	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
708	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
709	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
710	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
711	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
712	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
713	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
714	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
715	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
716	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
717	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
718	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
719	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
720	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
721	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
722	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
723	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
725	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
726	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
727	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
728	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
729	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
730	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
731	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
732	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
733	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
734	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
742	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
748	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
750	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
751	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
752	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
755	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
756	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
757	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
758	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
759	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
760	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
761	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
762	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
763	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
764	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
765	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
766	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
767	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
769	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
770	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
772	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
773	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
775	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
778	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₃×C₄²	C₂⁴	1	4	yes	—
780	C₃×C₄²	C₂⁴	1	2	yes	—
781	C₃×C₄²	C₂⁴	1	4	yes	—
782	C₃×C₄²	C₂⁴	1	4	yes	—
783	C₃×C₄²	C₂⁴	1	4	yes	—
784	C₃×C₄²	C₂⁴	1	4	yes	—
785	C₃×C₄²	C₂⁴	1	4	yes	—
786	C₃×C₄²	C₂⁴	1	4	yes	—
787	C₃×C₄²	C₂⁴	1	4	yes	—
788	C₃×C₄²	C₂⁴	1	2	yes	—
789	C₃×C₄²	C₂⁴	1	4	yes	—
790	C₃×C₄²	C₂⁴	1	4	yes	—
791	C₃×C₄²	C₂⁴	1	4	yes	—
792	C₃×C₄²	C₂⁴	1	8	yes	—
793	C₃×C₄²	C₂⁴	1	8	yes	—
794	C₂×#41	C₂³×C₃	1	2	yes	—
795	C₂×#41	C₂³×C₃	1	4	yes	—
796	C₂×#41	C₂³×C₃	1	8	yes	—
797	C₂×#41	C₂³×C₃	1	4	yes	—
798	C₂×#41	C₂³×C₃	1	4	yes	—
799	C₂×#41	C₂³×C₃	1	8	yes	—
800	C₂²×Q₈	C₂³×C₃	1	4	yes	—
801	C₂²×Q₈	C₂³×C₃	1	4	yes	—
802	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
803	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
804	C₂²×D₄	C₂³×C₃	1	2	yes	—
805	C₂²×D₄	C₂³×C₃	1	2	yes	—
806	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂³×C₄	C₂³×C₃	1	2	yes	—
809	C₂³×C₄	C₂³×C₃	1	2	yes	—
810	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
811	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
812	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
813	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
814	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
815	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
816	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
817	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
818	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
819	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
820	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
821	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
822	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
823	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
824	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
825	#127	C₂³×C₃	1	4	yes	—
826	#126	C₂³×C₃	1	8	yes	—
827	#126	C₂³×C₃	1	8	yes	—
828	#126	C₂³×C₃	1	8	yes	—
829	#126	C₂³×C₃	1	8	yes	—
830	#126	C₂³×C₃	1	4	yes	—
831	#126	C₂³×C₃	1	4	yes	—
832	#126	C₂³×C₃	1	4	yes	—
833	#126	C₂³×C₃	1	4	yes	—
834	#126	C₂³×C₃	1	8	yes	—
835	#126	C₂³×C₃	1	8	yes	—
836	#126	C₂³×C₃	1	4	yes	—
837	#126	C₂³×C₃	1	4	yes	—
838	#126	C₂³×C₃	1	8	yes	—
839	#126	C₂³×C₃	1	8	yes	—
840	#126	C₂³×C₃	1	8	yes	—
841	#126	C₂³×C₃	1	8	yes	—
842	#125	C₂³×C₃	1	4	yes	—
843	#125	C₂³×C₃	1	4	yes	—
844	#125	C₂³×C₃	1	4	yes	—
845	#125	C₂³×C₃	1	2	yes	—
846	#125	C₂³×C₃	1	4	yes	—
847	#125	C₂³×C₃	1	4	yes	—
848	#125	C₂³×C₃	1	8	yes	—
849	#125	C₂³×C₃	1	8	yes	—
850	#125	C₂³×C₃	1	8	yes	—
851	#125	C₂³×C₃	1	8	yes	—
852	#125	C₂³×C₃	1	4	yes	—
853	#125	C₂³×C₃	1	4	yes	—
854	#125	C₂³×C₃	1	4	yes	—
855	#125	C₂³×C₃	1	4	yes	—
856	#125	C₂³×C₃	1	4	yes	—
857	#125	C₂³×C₃	1	4	yes	—
858	#125	C₂³×C₃	1	2	yes	—
859	#125	C₂³×C₃	1	8	yes	—
860	#125	C₂³×C₃	1	4	yes	—
861	#125	C₂³×C₃	1	4	yes	—
862	#125	C₂³×C₃	1	8	yes	—
863	#125	C₂³×C₃	1	8	yes	—
864	#125	C₂³×C₃	1	8	yes	—
865	#124	C₂³×C₃	1	4	yes	—
866	#124	C₂³×C₃	1	4	yes	—
867	#124	C₂³×C₃	1	4	yes	—
868	#124	C₂³×C₃	1	4	yes	—
869	#124	C₂³×C₃	1	4	yes	—
870	#124	C₂³×C₃	1	8	yes	—
871	#124	C₂³×C₃	1	8	yes	—
872	#124	C₂³×C₃	1	8	yes	—
873	#124	C₂³×C₃	1	8	yes	—
874	#124	C₂³×C₃	1	8	yes	—
875	#124	C₂³×C₃	1	8	yes	—
876	#123	C₂³×C₃	1	8	yes	—
877	#123	C₂³×C₃	1	8	yes	—
878	#123	C₂³×C₃	1	4	yes	—
879	#123	C₂³×C₃	1	8	yes	—
880	#123	C₂³×C₃	1	4	yes	—
881	#123	C₂³×C₃	1	8	yes	—
882	#123	C₂³×C₃	1	8	yes	—
883	#123	C₂³×C₃	1	4	yes	—
884	#123	C₂³×C₃	1	8	yes	—
885	#123	C₂³×C₃	1	8	yes	—
886	#123	C₂³×C₃	1	4	yes	—
887	#123	C₂³×C₃	1	4	yes	—
888	#123	C₂³×C₃	1	4	yes	—
889	#123	C₂³×C₃	1	4	yes	—
890	#123	C₂³×C₃	1	4	yes	—
891	#123	C₂³×C₃	1	8	yes	—
892	#123	C₂³×C₃	1	8	yes	—
893	#123	C₂³×C₃	1	8	yes	—
894	#123	C₂³×C₃	1	8	yes	—
895	#123	C₂³×C₃	1	8	yes	—
896	#123	C₂³×C₃	1	8	yes	—
897	#123	C₂³×C₃	1	8	yes	—
898	#123	C₂³×C₃	1	8	yes	—
899	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
900	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
901	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
902	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
903	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
904	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
905	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
906	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
907	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
908	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
909	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
910	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
911	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
912	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
913	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
914	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
915	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
916	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
917	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
918	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
919	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
920	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
921	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
922	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
923	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
924	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
925	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
926	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
927	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
928	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
929	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
930	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
931	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
932	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
933	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
934	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
935	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
936	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
937	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
938	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
939	#121	C₂³×C₃	1	4	yes	—
940	#121	C₂³×C₃	1	4	yes	—
941	#121	C₂³×C₃	1	8	yes	—
942	#121	C₂³×C₃	1	8	yes	—
943	#121	C₂³×C₃	1	4	yes	—
944	#121	C₂³×C₃	1	4	yes	—
945	#121	C₂³×C₃	1	4	yes	—
946	#121	C₂³×C₃	1	2	yes	—
947	#121	C₂³×C₃	1	2	yes	—
948	#121	C₂³×C₃	1	4	yes	—
949	#121	C₂³×C₃	1	2	yes	—
950	#121	C₂³×C₃	1	4	yes	—
951	#121	C₂³×C₃	1	2	yes	—
952	#121	C₂³×C₃	1	4	yes	—
953	#121	C₂³×C₃	1	4	yes	—
954	#121	C₂³×C₃	1	4	yes	—
955	#121	C₂³×C₃	1	4	yes	—
956	#121	C₂³×C₃	1	4	yes	—
957	#121	C₂³×C₃	1	4	yes	—
958	#121	C₂³×C₃	1	8	yes	—
959	#121	C₂³×C₃	1	8	yes	—
960	#121	C₂³×C₃	1	8	yes	—
961	#121	C₂³×C₃	1	8	yes	—
962	#121	C₂³×C₃	1	8	yes	—
963	#121	C₂³×C₃	1	8	yes	—
964	#121	C₂³×C₃	1	8	yes	—
965	#121	C₂³×C₃	1	8	yes	—
966	#120	C₂³×C₃	1	4	yes	—
967	#120	C₂³×C₃	1	8	yes	—
968	#120	C₂³×C₃	1	4	yes	—
969	C₄×Q₈	C₂³×C₃	1	2	yes	—
970	C₄×Q₈	C₂³×C₃	1	2	yes	—
971	C₄×Q₈	C₂³×C₃	1	4	yes	—
972	C₄×Q₈	C₂³×C₃	1	4	yes	—
973	C₄×Q₈	C₂³×C₃	1	4	yes	—
974	C₄×Q₈	C₂³×C₃	1	4	yes	—
975	C₄×Q₈	C₂³×C₃	1	8	yes	—
976	C₄×Q₈	C₂³×C₃	1	8	yes	—
977	C₄×Q₈	C₂³×C₃	1	4	yes	—
978	C₄×Q₈	C₂³×C₃	1	4	yes	—
979	C₄×Q₈	C₂³×C₃	1	4	yes	—
980	C₄×Q₈	C₂³×C₃	1	4	yes	—
981	C₄×Q₈	C₂³×C₃	1	8	yes	—
982	C₄×D₄	C₂³×C₃	1	2	yes	—
983	C₄×D₄	C₂³×C₃	1	4	yes	—
984	C₄×D₄	C₂³×C₃	1	2	yes	—
985	C₄×D₄	C₂³×C₃	1	2	yes	—
986	C₄×D₄	C₂³×C₃	1	2	yes	—
987	C₄×D₄	C₂³×C₃	1	4	yes	—
988	C₄×D₄	C₂³×C₃	1	4	yes	—
989	C₄×D₄	C₂³×C₃	1	4	yes	—
990	C₄×D₄	C₂³×C₃	1	4	yes	—
991	C₄×D₄	C₂³×C₃	1	4	yes	—
992	C₄×D₄	C₂³×C₃	1	4	yes	—
993	C₄×D₄	C₂³×C₃	1	2	yes	—
994	C₄×D₄	C₂³×C₃	1	4	yes	—
995	C₄×D₄	C₂³×C₃	1	2	yes	—
996	C₄×D₄	C₂³×C₃	1	4	yes	—
997	C₄×D₄	C₂³×C₃	1	4	yes	—
998	C₄×D₄	C₂³×C₃	1	4	yes	—
999	C₄×D₄	C₂³×C₃	1	4	yes	—
1000	C₄×D₄	C₂³×C₃	1	4	yes	—
1001	C₄×D₄	C₂³×C₃	1	4	yes	—
1002	C₄×D₄	C₂³×C₃	1	4	yes	—
1003	C₄×D₄	C₂³×C₃	1	4	yes	—
1004	C₄×D₄	C₂³×C₃	1	4	yes	—
1005	C₄×D₄	C₂³×C₃	1	8	yes	—
1006	C₄×D₄	C₂³×C₃	1	8	yes	—
1007	C₄×D₄	C₂³×C₃	1	4	yes	—
1008	C₄×D₄	C₂³×C₃	1	4	yes	—
1009	C₄×D₄	C₂³×C₃	1	8	yes	—
1010	C₄×D₄	C₂³×C₃	1	8	yes	—
1011	C₄×D₄	C₂³×C₃	1	8	yes	—
1012	C₄×D₄	C₂³×C₃	1	8	yes	—
1013	C₄×D₄	C₂³×C₃	1	4	yes	—
1014	C₄×D₄	C₂³×C₃	1	4	yes	—
1015	C₄×D₄	C₂³×C₃	1	4	yes	—
1016	C₄×D₄	C₂³×C₃	1	8	yes	—
1017	C₄×D₄	C₂³×C₃	1	8	yes	—
1018	#117	C₂³×C₃	1	2	yes	—
1019	#117	C₂³×C₃	1	2	yes	—
1020	#117	C₂³×C₃	1	2	yes	—
1021	#117	C₂³×C₃	1	4	yes	—
1022	#117	C₂³×C₃	1	4	yes	—
1023	#117	C₂³×C₃	1	4	yes	—
1024	#117	C₂³×C₃	1	4	yes	—
1025	#117	C₂³×C₃	1	2	yes	—
1026	#117	C₂³×C₃	1	2	yes	—
1027	#117	C₂³×C₃	1	4	yes	—
1028	#117	C₂³×C₃	1	2	yes	—
1029	#117	C₂³×C₃	1	4	yes	—
1030	#117	C₂³×C₃	1	2	yes	—
1031	#117	C₂³×C₃	1	4	yes	—
1032	#117	C₂³×C₃	1	4	yes	—
1033	#117	C₂³×C₃	1	4	yes	—
1034	#117	C₂³×C₃	1	4	yes	—
1035	#117	C₂³×C₃	1	4	yes	—
1036	#117	C₂³×C₃	1	4	yes	—
1037	#117	C₂³×C₃	1	8	yes	—
1038	#117	C₂³×C₃	1	8	yes	—
1039	#117	C₂³×C₃	1	4	yes	—
1040	#117	C₂³×C₃	1	4	yes	—
1041	#117	C₂³×C₃	1	8	yes	—
1042	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1045	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1046	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1047	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1049	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1050	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1051	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1052	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1053	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1055	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1056	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1057	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1058	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1059	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1060	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1061	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1062	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1063	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1064	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1065	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1066	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1068	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1069	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1071	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1072	C₂×C₄²	C₂³×C₃	1	2	yes	—
1073	C₂×C₄²	C₂³×C₃	1	4	yes	—
1074	C₂×C₄²	C₂³×C₃	1	4	yes	—
1075	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1076	C₂×C₄²	C₂³×C₃	1	4	yes	—
1077	C₂³×C₃	—	2	2	no	—
1078	C₂³×C₃	—	2	2	no	—
1079	C₂³×C₃	—	2	2	no	—
1080	C₂³×C₃	—	2	4	no	—
1081	C₂³×C₃	—	4	1	no	—
1082	C₂³×C₃	—	4	2	no	—
1083	C₂³×C₃	—	4	1	no	—
1084	C₂³×C₃	—	4	2	no	—
1085	C₂³×C₃	—	4	1	no	—
1086	C₂³×C₃	C₂⁵	1	2	yes	—
1087	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1088	C₂³×C₃	C₂⁵	1	4	yes	—
1089	C₂³×C₃	C₂⁵	1	4	yes	—
1090	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1091	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1092	C₃×Q₈	—	2	4	no	—
1093	C₃×Q₈	—	4	4	no	—
1094	C₃×Q₈	—	4	4	no	—
1095	C₃×Q₈	—	4	8	no	—
1096	C₃×Q₈	—	4	4	no	—
1097	C₃×Q₈	—	4	4	no	—
1098	C₃×Q₈	—	4	4	no	—
1099	C₃×Q₈	—	4	8	no	—
1100	C₃×D₄	—	2	8	no	—
1101	C₃×D₄	—	2	4	no	—
1102	C₃×D₄	—	2	8	no	—
1103	C₃×D₄	—	2	8	no	—
1104	C₃×D₄	—	2	8	no	—
1105	C₃×D₄	—	2	4	no	—
1106	C₃×D₄	—	4	2	no	—
1107	C₃×D₄	—	4	4	no	—
1108	C₃×D₄	—	4	8	no	—
1109	C₃×D₄	—	4	4	no	—
1110	C₃×D₄	—	4	8	no	—
1111	C₃×D₄	—	4	4	no	—
1112	C₃×D₄	—	4	4	no	—
1113	C₃×D₄	—	4	8	no	—
1114	C₃×D₄	—	4	4	no	—
1115	C₂×C₃×C₄	—	2	2	no	—
1116	C₂×C₃×C₄	—	2	2	no	—
1117	C₂×C₃×C₄	—	2	8	no	—
1118	C₂×C₃×C₄	—	2	4	no	—
1119	C₂×C₃×C₄	—	2	4	no	—
1120	C₂×C₃×C₄	—	2	4	no	—
1121	C₂×C₃×C₄	—	2	4	no	—
1122	C₂×C₃×C₄	—	2	8	no	—
1123	C₂×C₃×C₄	—	4	1	no	—
1124	C₂×C₃×C₄	—	4	2	no	—
1125	C₂×C₃×C₄	—	4	2	no	—
1126	C₂×C₃×C₄	—	4	4	no	—
1127	C₂×C₃×C₄	—	4	4	no	—
1128	C₂×C₃×C₄	—	4	4	no	—
1129	C₂×C₃×C₄	—	4	4	no	—
1130	C₂×C₃×C₄	—	4	2	no	—
1131	C₂×C₃×C₄	—	4	1	no	—
1132	C₂×C₃×C₄	—	4	4	no	—
1133	C₂×C₃×C₄	—	4	8	no	—
1134	C₂×C₃×C₄	—	4	8	no	—
1135	C₂×C₃×C₄	—	4	8	no	—
1136	C₂×C₃×C₄	—	4	4	no	—
1137	C₂×C₃×C₄	—	4	4	no	—
1138	C₂×C₃×C₄	—	4	4	no	—
1139	C₂×C₃×C₄	—	4	8	no	—
1140	C₂×C₃×C₄	—	4	4	no	—
1141	C₂×C₃×C₄	2₋¹⁺⁴	1	4	yes	—
1142	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1143	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1144	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1145	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1146	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1147	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1148	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1149	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1150	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1151	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1152	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1153	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1154	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1155	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1156	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1157	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1158	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1159	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1160	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1161	C₂⁴	C₂⁴×C₃	1	2	yes	—
1162	#41	—	2	8	no	—
1163	#41	—	4	8	no	—
1164	#41	—	4	16	no	—
1165	#41	—	8	4	no	—
1166	#41	—	8	4	no	—
1167	#41	—	8	8	no	—
1168	C₂×Q₈	—	8	4	no	—
1169	C₂×Q₈	—	8	4	no	—
1170	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1171	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1172	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1173	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1174	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1175	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1176	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1177	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1178	C₂×D₄	—	2	4	no	—
1179	C₂×D₄	—	4	2	no	—
1180	C₂×D₄	—	4	4	no	—
1181	C₂×D₄	—	8	2	no	—
1182	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1183	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1184	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1185	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1186	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1187	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1188	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1189	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1190	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1191	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1192	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1193	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1194	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1195	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1196	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1197	C₂²×C₄	—	2	4	no	—
1198	C₂²×C₄	—	2	4	no	—
1199	C₂²×C₄	—	8	2	no	—
1200	C₂²×C₄	—	8	2	no	—
1201	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1203	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1204	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1205	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1206	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1207	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1208	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1209	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1210	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1213	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1214	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1215	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1216	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1217	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1218	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1219	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1220	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1221	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1222	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1223	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1224	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1225	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1226	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1227	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1228	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1229	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1230	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1231	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1232	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1233	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1234	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1235	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1236	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1237	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1238	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1239	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1240	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1241	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1242	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1243	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1244	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1245	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1246	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1247	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1248	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1249	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1250	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1251	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1252	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1253	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1254	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1255	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1256	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1257	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1258	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1259	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1260	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1261	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1262	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1263	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1264	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1265	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1266	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1267	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1268	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1269	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1270	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1271	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1272	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1273	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1274	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1275	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1276	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1277	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1278	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1279	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1280	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1281	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1282	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1283	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1284	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1285	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1286	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1287	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1288	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1289	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1290	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1291	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1292	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1293	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1294	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1295	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1296	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1297	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1298	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1299	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1300	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1301	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1302	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1303	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1304	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1305	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1306	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1307	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1308	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1309	C₄²	C₂⁴×C₃	1	4	yes	—
1310	C₄²	C₂⁴×C₃	1	2	yes	—
1311	C₄²	C₂⁴×C₃	1	4	yes	—
1312	C₄²	C₂⁴×C₃	1	4	yes	—
1313	C₄²	C₂⁴×C₃	1	4	yes	—
1314	C₄²	C₂⁴×C₃	1	4	yes	—
1315	C₄²	C₂⁴×C₃	1	4	yes	—
1316	C₄²	C₂⁴×C₃	1	4	yes	—
1317	C₄²	C₂⁴×C₃	1	4	yes	—
1318	C₄²	C₂⁴×C₃	1	2	yes	—
1319	C₄²	C₂⁴×C₃	1	4	yes	—
1320	C₄²	C₂⁴×C₃	1	4	yes	—
1321	C₄²	C₂⁴×C₃	1	4	yes	—
1322	C₄²	C₂⁴×C₃	1	8	yes	—
1323	C₄²	C₂⁴×C₃	1	8	yes	—
1324	C₂²×C₃	—	2	1	no	—
1325	C₂²×C₃	—	2	1	no	—
1326	C₂²×C₃	—	2	1	no	—
1327	C₂²×C₃	—	2	1	no	—
1328	C₂²×C₃	—	2	1	no	—
1329	C₂²×C₃	—	2	2	no	—
1330	C₂²×C₃	—	2	4	no	—
1331	C₂²×C₃	—	2	4	no	—
1332	C₂²×C₃	—	2	4	no	—
1333	C₂²×C₃	—	2	2	no	—
1334	C₂²×C₃	—	2	4	no	—
1335	C₂²×C₃	—	2	1	no	—
1336	C₂²×C₃	—	2	1	no	—
1337	C₂²×C₃	—	2	4	no	—
1338	C₂²×C₃	—	2	4	no	—
1339	C₂²×C₃	—	2	2	no	—
1340	C₂²×C₃	—	4	4	no	—
1341	C₂²×C₃	—	8	2	no	—
1342	C₂²×C₃	—	8	4	no	—
1343	C₂²×C₃	C₂×2₋¹⁺⁴	1	2	yes	—
1344	C₂²×C₃	#585	1	2	yes	—
1345	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1346	C₃×C₄	—	2	1	no	—
1347	C₃×C₄	—	2	1	no	—
1348	C₃×C₄	—	2	2	no	—
1349	C₃×C₄	—	2	4	no	—
1350	C₃×C₄	—	2	4	no	—
1351	C₃×C₄	—	2	4	no	—
1352	C₃×C₄	—	2	4	no	—
1353	C₃×C₄	—	2	2	no	—
1354	C₃×C₄	—	2	4	no	—
1355	C₃×C₄	—	2	1	no	—
1356	C₃×C₄	—	2	4	no	—
1357	C₃×C₄	—	2	4	no	—
1358	C₃×C₄	—	2	4	no	—
1359	C₃×C₄	—	2	1	no	—
1360	C₃×C₄	—	2	4	no	—
1361	C₃×C₄	—	2	4	no	—
1362	C₃×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
1363	C₂³	—	2	2	no	—
1364	C₂³	—	2	2	no	—
1365	C₂³	—	2	2	no	—
1366	C₂³	—	2	4	no	—
1367	C₂³	—	4	1	no	—
1368	C₂³	—	4	2	no	—
1369	C₂³	—	4	1	no	—
1370	C₂³	—	4	2	no	—
1371	C₂³	—	4	1	no	—
1372	C₂³	C₂⁵×C₃	1	2	yes	—
1373	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1374	C₂³	C₂⁵×C₃	1	4	yes	—
1375	C₂³	C₂⁵×C₃	1	4	yes	—
1376	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1377	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1378	Q₈	—	2	4	no	—
1379	Q₈	—	4	4	no	—
1380	Q₈	—	4	4	no	—
1381	Q₈	—	4	8	no	—
1382	Q₈	—	4	4	no	—
1383	Q₈	—	4	4	no	—
1384	Q₈	—	4	4	no	—
1385	Q₈	—	4	8	no	—
1386	D₄	—	2	8	no	—
1387	D₄	—	2	4	no	—
1388	D₄	—	2	8	no	—
1389	D₄	—	2	8	no	—
1390	D₄	—	2	8	no	—
1391	D₄	—	2	4	no	—
1392	D₄	—	4	2	no	—
1393	D₄	—	4	4	no	—
1394	D₄	—	4	8	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	4	8	no	—
1397	D₄	—	4	4	no	—
1398	D₄	—	4	4	no	—
1399	D₄	—	4	8	no	—
1400	D₄	—	4	4	no	—
1401	C₂×C₄	—	2	2	no	—
1402	C₂×C₄	—	2	2	no	—
1403	C₂×C₄	—	2	8	no	—
1404	C₂×C₄	—	2	4	no	—
1405	C₂×C₄	—	2	4	no	—
1406	C₂×C₄	—	2	4	no	—
1407	C₂×C₄	—	2	4	no	—
1408	C₂×C₄	—	2	8	no	—
1409	C₂×C₄	—	4	1	no	—
1410	C₂×C₄	—	4	2	no	—
1411	C₂×C₄	—	4	2	no	—
1412	C₂×C₄	—	4	4	no	—
1413	C₂×C₄	—	4	4	no	—
1414	C₂×C₄	—	4	4	no	—
1415	C₂×C₄	—	4	4	no	—
1416	C₂×C₄	—	4	2	no	—
1417	C₂×C₄	—	4	1	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	4	8	no	—
1420	C₂×C₄	—	4	8	no	—
1421	C₂×C₄	—	4	8	no	—
1422	C₂×C₄	—	4	4	no	—
1423	C₂×C₄	—	4	4	no	—
1424	C₂×C₄	—	4	4	no	—
1425	C₂×C₄	—	4	8	no	—
1426	C₂×C₄	—	4	4	no	—
1427	C₂×C₄	C₃×2₋¹⁺⁴	1	4	yes	—
1428	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1429	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1430	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1431	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1432	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1433	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1434	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1435	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1436	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1437	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1438	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1439	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1440	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1441	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1442	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1443	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1444	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1445	C₂×C₃	—	2	2	no	—
1446	C₂×C₃	—	2	2	no	—
1447	C₂×C₃	—	4	4	no	—
1448	C₂×C₃	—	4	1	no	—
1449	C₂×C₃	—	4	2	no	—
1450	C₂×C₃	—	4	4	no	—
1451	C₂×C₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1452	C₂×C₃	C₂×#585	1	1	yes	characteristic
1453	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1454	C₂²	—	2	1	no	—
1455	C₂²	—	2	1	no	—
1456	C₂²	—	2	1	no	—
1457	C₂²	—	2	1	no	—
1458	C₂²	—	2	1	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	2	4	no	—
1461	C₂²	—	2	4	no	—
1462	C₂²	—	2	4	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	4	no	—
1465	C₂²	—	2	1	no	—
1466	C₂²	—	2	1	no	—
1467	C₂²	—	2	4	no	—
1468	C₂²	—	2	4	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	4	4	no	—
1471	C₂²	—	8	2	no	—
1472	C₂²	—	8	4	no	—
1473	C₂²	C₂×C₃×2₋¹⁺⁴	1	2	yes	—
1474	C₂²	C₃×#585	1	2	yes	—
1475	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1476	C₄	—	2	1	no	—
1477	C₄	—	2	1	no	—
1478	C₄	—	2	2	no	—
1479	C₄	—	2	4	no	—
1480	C₄	—	2	4	no	—
1481	C₄	—	2	4	no	—
1482	C₄	—	2	4	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	2	4	no	—
1485	C₄	—	2	1	no	—
1486	C₄	—	2	4	no	—
1487	C₄	—	2	4	no	—
1488	C₄	—	2	4	no	—
1489	C₄	—	2	1	no	—
1490	C₄	—	2	4	no	—
1491	C₄	—	2	4	no	—
1492	C₄	C₂×C₃×2₋¹⁺⁴	1	4	yes	—
1493	C₃	#62958	1	1	yes	characteristic, direct product factor, Sylow
1494	C₂	—	2	2	no	—
1495	C₂	—	2	2	no	—
1496	C₂	—	4	1	no	—
1497	C₂	—	4	2	no	—
1498	C₂	—	4	4	no	—
1499	C₂	—	4	4	no	—
1500	C₂	C₂²×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1501	C₂	C₂×C₃×#585	1	1	yes	characteristic
1502	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×#3565	C₂	semidirect
3. C₃×#3564	C₂	semidirect
4. C₃×#3559	C₂	semidirect
5. C₃×#3559	C₂	semidirect
6. C₃×#3552	C₂	semidirect
7. C₃×#3547	C₂	semidirect
8. C₃×#3536	C₂	semidirect
9. C₃×#3535	C₂	semidirect
10. C₃×#3520	C₂	semidirect
11. C₃×#3515	C₂	semidirect
12. C₃×#3511	C₂	semidirect
13. C₃×#3504	C₂	semidirect
14. C₃×#3501	C₂	semidirect
15. C₃×#3494	C₂	semidirect
16. C₃×#3494	C₂	semidirect
17. C₃×#3493	C₂	semidirect
18. C₃×#3492	C₂	semidirect
19. C₃×#3475	C₂	semidirect
20. C₂×C₃×#553	C₂	semidirect
21. C₃×#3460	C₂	semidirect
22. C₃×#3458	C₂	semidirect
23. C₂×C₃×#544	C₂	semidirect
24. #62958	C₃	direct (N × H)
25. C₃×#563	C₂²	semidirect
26. C₃×#563	C₂²	semidirect
27. C₃×#563	C₂²	semidirect
28. C₃×#562	C₂²	semidirect
29. C₃×#562	C₂²	semidirect
30. C₃×#562	C₂²	semidirect
31. C₃×#557	C₂²	semidirect
32. C₃×#557	C₂²	semidirect
33. C₃×#556	C₂²	semidirect
34. C₃×#556	C₂²	semidirect
35. C₃×#556	C₂²	semidirect
36. C₃×#556	C₂²	semidirect
37. C₃×#555	C₂²	semidirect
38. C₃×#555	C₂²	semidirect
39. C₃×#555	C₂²	semidirect
40. C₃×#555	C₂²	semidirect
43. C₃×#554	C₂²	semidirect
44. C₃×#554	C₂²	semidirect
45. C₃×#554	C₂²	semidirect
46. C₃×#554	C₂²	semidirect
47. C₃×#554	C₂²	semidirect
48. C₃×#554	C₂²	semidirect
49. C₃×#554	C₂²	semidirect
54. C₃×#553	C₂²	semidirect
55. C₃×#553	C₂²	semidirect
56. C₃×#553	C₂²	semidirect
57. C₃×#553	C₂²	semidirect
58. C₃×#553	C₂²	semidirect
59. C₃×#553	C₂²	semidirect
60. C₃×#553	C₂²	semidirect
61. C₃×#553	C₂²	semidirect
63. C₃×#552	C₂²	semidirect
64. C₃×#552	C₂²	semidirect
65. C₃×#552	C₂²	semidirect
66. C₃×#552	C₂²	semidirect
67. C₃×#552	C₂²	semidirect
68. C₃×#552	C₂²	semidirect
69. C₃×#552	C₂²	semidirect
70. C₃×#552	C₂²	semidirect
75. C₃×D₄×Q₈	C₂²	semidirect
76. C₃×D₄×Q₈	C₂²	semidirect
77. C₃×#548	C₂²	semidirect
78. C₃×#548	C₂²	semidirect
79. C₃×#548	C₂²	semidirect
80. C₃×#547	C₂²	semidirect
81. C₃×#547	C₂²	semidirect
82. C₃×#547	C₂²	semidirect
83. C₃×#547	C₂²	semidirect
84. C₃×#547	C₂²	semidirect
85. C₃×#547	C₂²	semidirect
86. C₃×#547	C₂²	semidirect
87. C₃×#547	C₂²	semidirect
97. C₃×#544	C₂²	semidirect
98. C₃×#544	C₂²	semidirect
99. C₃×#544	C₂²	semidirect
100. C₃×#544	C₂²	semidirect
101. C₃×#544	C₂²	semidirect
102. C₃×#544	C₂²	semidirect
105. C₃×#542	C₂²	semidirect
106. C₃×#542	C₂²	semidirect
107. C₃×#542	C₂²	semidirect
108. C₃×#542	C₂²	semidirect
109. C₃×#542	C₂²	semidirect
110. C₃×#542	C₂²	semidirect
111. C₃×#542	C₂²	semidirect
112. C₃×#541	C₂²	semidirect
113. C₃×#541	C₂²	semidirect
114. C₃×#540	C₂²	semidirect
115. C₃×#540	C₂²	semidirect
116. C₃×#540	C₂²	semidirect
118. C₃×#539	C₂²	semidirect
119. C₃×#539	C₂²	semidirect
120. C₃×#539	C₂²	semidirect
121. C₃×#539	C₂²	semidirect
122. C₃×#539	C₂²	semidirect
123. C₃×#539	C₂²	semidirect
127. C₃×#537	C₂²	semidirect
128. C₃×#537	C₂²	semidirect
129. C₃×#536	C₂²	semidirect
133. C₃×#533	C₂²	semidirect
134. C₃×#533	C₂²	semidirect
135. C₃×#533	C₂²	semidirect
136. C₃×#532	C₂²	semidirect
137. C₃×#532	C₂²	semidirect
138. C₃×#532	C₂²	semidirect
139. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
141. C₃×#529	C₂²	semidirect
142. C₃×#529	C₂²	semidirect
143. C₃×#529	C₂²	semidirect
144. C₃×#529	C₂²	semidirect
145. C₃×#529	C₂²	semidirect
146. C₃×#529	C₂²	semidirect
149. C₂×C₃×#125	C₂²	semidirect
150. C₂×C₃×#125	C₂²	semidirect
163. C₃×#520	C₂²	semidirect
166. C₃×C₄×#41	C₂²	semidirect
174. #3565	C₂×C₃	semidirect
175. #3565	C₂×C₃	semidirect
176. #3564	C₂×C₃	semidirect
177. #3559	C₂×C₃	semidirect
178. #3559	C₂×C₃	semidirect
179. #3552	C₂×C₃	semidirect
180. #3547	C₂×C₃	semidirect
181. #3536	C₂×C₃	semidirect
182. #3535	C₂×C₃	semidirect
183. #3520	C₂×C₃	semidirect
184. #3515	C₂×C₃	semidirect
185. #3511	C₂×C₃	semidirect
186. #3504	C₂×C₃	semidirect
187. #3501	C₂×C₃	semidirect
188. #3494	C₂×C₃	semidirect
189. #3494	C₂×C₃	semidirect
190. #3493	C₂×C₃	semidirect
191. #3492	C₂×C₃	semidirect
192. #3475	C₂×C₃	semidirect
193. C₂×#553	C₂×C₃	semidirect
194. #3460	C₂×C₃	semidirect
195. #3458	C₂×C₃	semidirect
196. C₂×#544	C₂×C₃	semidirect
480. #563	C₂²×C₃	semidirect
481. #563	C₂²×C₃	semidirect
482. #563	C₂²×C₃	semidirect
483. #562	C₂²×C₃	semidirect
484. #562	C₂²×C₃	semidirect
485. #562	C₂²×C₃	semidirect
486. #557	C₂²×C₃	semidirect
487. #557	C₂²×C₃	semidirect
488. #556	C₂²×C₃	semidirect
489. #556	C₂²×C₃	semidirect
490. #556	C₂²×C₃	semidirect
491. #556	C₂²×C₃	semidirect
492. #555	C₂²×C₃	semidirect
493. #555	C₂²×C₃	semidirect
494. #555	C₂²×C₃	semidirect
495. #555	C₂²×C₃	semidirect
498. #554	C₂²×C₃	semidirect
499. #554	C₂²×C₃	semidirect
500. #554	C₂²×C₃	semidirect
501. #554	C₂²×C₃	semidirect
502. #554	C₂²×C₃	semidirect
503. #554	C₂²×C₃	semidirect
504. #554	C₂²×C₃	semidirect
509. #553	C₂²×C₃	semidirect
510. #553	C₂²×C₃	semidirect
511. #553	C₂²×C₃	semidirect
512. #553	C₂²×C₃	semidirect
513. #553	C₂²×C₃	semidirect
514. #553	C₂²×C₃	semidirect
515. #553	C₂²×C₃	semidirect
516. #553	C₂²×C₃	semidirect
518. #552	C₂²×C₃	semidirect
519. #552	C₂²×C₃	semidirect
520. #552	C₂²×C₃	semidirect
521. #552	C₂²×C₃	semidirect
522. #552	C₂²×C₃	semidirect
523. #552	C₂²×C₃	semidirect
524. #552	C₂²×C₃	semidirect
525. #552	C₂²×C₃	semidirect
530. D₄×Q₈	C₂²×C₃	semidirect
531. D₄×Q₈	C₂²×C₃	semidirect
532. #548	C₂²×C₃	semidirect
533. #548	C₂²×C₃	semidirect
534. #548	C₂²×C₃	semidirect
535. #547	C₂²×C₃	semidirect
536. #547	C₂²×C₃	semidirect
537. #547	C₂²×C₃	semidirect
538. #547	C₂²×C₃	semidirect
539. #547	C₂²×C₃	semidirect
540. #547	C₂²×C₃	semidirect
541. #547	C₂²×C₃	semidirect
542. #547	C₂²×C₃	semidirect
552. #544	C₂²×C₃	semidirect
553. #544	C₂²×C₃	semidirect
554. #544	C₂²×C₃	semidirect
555. #544	C₂²×C₃	semidirect
556. #544	C₂²×C₃	semidirect
557. #544	C₂²×C₃	semidirect
560. #542	C₂²×C₃	semidirect
561. #542	C₂²×C₃	semidirect
562. #542	C₂²×C₃	semidirect
563. #542	C₂²×C₃	semidirect
564. #542	C₂²×C₃	semidirect
565. #542	C₂²×C₃	semidirect
566. #542	C₂²×C₃	semidirect
567. #541	C₂²×C₃	semidirect
568. #541	C₂²×C₃	semidirect
569. #540	C₂²×C₃	semidirect
570. #540	C₂²×C₃	semidirect
571. #540	C₂²×C₃	semidirect
573. #539	C₂²×C₃	semidirect
574. #539	C₂²×C₃	semidirect
575. #539	C₂²×C₃	semidirect
576. #539	C₂²×C₃	semidirect
577. #539	C₂²×C₃	semidirect
578. #539	C₂²×C₃	semidirect
582. #537	C₂²×C₃	semidirect
583. #537	C₂²×C₃	semidirect
584. #536	C₂²×C₃	semidirect
588. #533	C₂²×C₃	semidirect
589. #533	C₂²×C₃	semidirect
590. #533	C₂²×C₃	semidirect
591. #532	C₂²×C₃	semidirect
592. #532	C₂²×C₃	semidirect
593. #532	C₂²×C₃	semidirect
594. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
596. #529	C₂²×C₃	semidirect
597. #529	C₂²×C₃	semidirect
598. #529	C₂²×C₃	semidirect
599. #529	C₂²×C₃	semidirect
600. #529	C₂²×C₃	semidirect
601. #529	C₂²×C₃	semidirect
604. C₂×#125	C₂²×C₃	semidirect
605. C₂×#125	C₂²×C₃	semidirect
618. #520	C₂²×C₃	semidirect
621. C₄×#41	C₂²×C₃	semidirect
1493. C₃	#62958	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×#3564	2
C₃×#3559	2
C₃×#3552	2
C₃×#3547	2
C₃×#3536	2
C₃×#3535	2
C₃×#3520	2
C₃×#3515	2
C₃×#3511	2
C₃×#3504	2
C₃×#3501	2
C₃×#3494	2
C₃×#3493	2
C₃×#3492	2
C₃×#3475	2
C₂×C₃×#553	2
C₃×#3460	2
C₃×#3458	2
C₂×C₃×#544	2
#62958	3

Subgroups — C3×#62958 #10681565

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62958 #10681565