Subgroups — C₃×#62976 #10681583

Order 768.

6770 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3567	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3567	C₂	1	2	yes	maximal, complemented
3	C₃×#3566	C₂	1	6	yes	maximal, complemented
4	C₃×#3560	C₂	1	3	yes	maximal, complemented
5	C₃×#3546	C₂	1	3	yes	maximal, complemented
6	C₃×#3543	C₂	1	6	yes	maximal, complemented
7	C₃×#3542	C₂	1	6	yes	maximal, complemented
8	C₃×#3542	C₂	1	6	yes	maximal, complemented
9	C₃×#3539	C₂	1	6	yes	maximal, complemented
10	C₃×#3537	C₂	1	6	yes	maximal, complemented
11	C₃×#3534	C₂	1	6	yes	maximal, complemented
12	C₃×#3534	C₂	1	6	yes	maximal, complemented
13	C₃×#3533	C₂	1	6	yes	maximal, complemented
14	#62976	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
15	C₃×#564	C₂²	1	1	yes	characteristic, complemented
16	C₃×#563	C₂²	1	6	yes	complemented
17	C₃×#562	C₂²	1	6	yes	complemented
18	C₃×#562	C₂²	1	6	yes	complemented
19	C₃×#562	C₂²	1	3	yes	complemented
20	C₃×#562	C₂²	1	6	yes	complemented
21	C₃×#562	C₂²	1	6	yes	complemented
22	C₃×#560	C₂²	1	6	yes	complemented
23	C₃×#560	C₂²	1	2	yes	complemented
24	C₃×#560	C₂²	1	6	yes	complemented
25	C₃×#560	C₂²	1	6	yes	complemented
26	C₃×#560	C₂²	1	6	yes	complemented
27	C₃×#560	C₂²	1	6	yes	complemented
28	C₃×#560	C₂²	1	6	yes	complemented
29	C₃×#560	C₂²	1	6	yes	complemented
30	C₃×#560	C₂²	1	6	yes	complemented
31	C₃×#559	C₂²	1	6	yes	complemented
32	C₃×#556	C₂²	1	3	yes	complemented
33	C₃×#555	C₂²	1	6	yes	complemented
34	C₃×#553	C₂²	1	6	yes	complemented
35	C₃×#553	C₂²	1	6	yes	complemented
36	C₃×#553	C₂²	1	6	yes	complemented
37	C₃×#553	C₂²	1	6	yes	complemented
38	C₃×#553	C₂²	1	6	yes	complemented
39	C₃×#553	C₂²	1	6	yes	complemented
40	C₃×#553	C₂²	1	6	yes	complemented
41	C₃×#553	C₂²	1	6	yes	complemented
42	C₃×#553	C₂²	1	6	yes	complemented
43	C₃×#552	C₂²	1	6	yes	complemented
44	C₃×#552	C₂²	1	6	yes	complemented
45	C₃×#552	C₂²	1	6	yes	complemented
46	C₃×#552	C₂²	1	6	yes	complemented
47	C₃×#551	C₂²	1	6	yes	complemented
48	C₃×#551	C₂²	1	6	yes	complemented
49	C₃×#551	C₂²	1	6	yes	complemented
50	C₃×#551	C₂²	1	6	yes	complemented
51	C₃×#551	C₂²	1	6	yes	complemented
52	C₃×#550	C₂²	1	6	yes	complemented
53	C₃×#550	C₂²	1	6	yes	complemented
54	C₃×#550	C₂²	1	3	yes	complemented
55	C₃×#547	C₂²	1	3	yes	complemented
56	C₃×#547	C₂²	1	6	yes	complemented
57	C₃×#547	C₂²	1	6	yes	complemented
58	C₃×#546	C₂²	1	6	yes	complemented
59	C₃×#546	C₂²	1	6	yes	complemented
60	C₃×#546	C₂²	1	6	yes	complemented
61	C₃×#546	C₂²	1	6	yes	complemented
62	C₃×#546	C₂²	1	6	yes	complemented
63	C₃×#546	C₂²	1	6	yes	complemented
64	C₃×#546	C₂²	1	6	yes	complemented
65	C₃×#546	C₂²	1	6	yes	complemented
66	C₃×#546	C₂²	1	6	yes	complemented
67	C₃×#546	C₂²	1	6	yes	complemented
68	C₃×D₄²	C₂²	1	6	yes	complemented
69	C₃×D₄²	C₂²	1	6	yes	complemented
70	C₃×D₄²	C₂²	1	6	yes	complemented
71	C₃×D₄²	C₂²	1	6	yes	complemented
72	C₃×D₄²	C₂²	1	6	yes	complemented
73	C₃×D₄²	C₂²	1	3	yes	complemented
74	C₃×D₄²	C₂²	1	6	yes	complemented
75	C₃×#542	C₂²	1	6	yes	complemented
76	C₃×#542	C₂²	1	6	yes	complemented
77	C₃×#542	C₂²	1	6	yes	complemented
78	C₃×#541	C₂²	1	6	yes	complemented
79	C₃×#540	C₂²	1	6	yes	complemented
80	C₃×#540	C₂²	1	6	yes	complemented
81	C₃×#540	C₂²	1	6	yes	complemented
82	C₃×#540	C₂²	1	6	yes	complemented
83	C₃×#540	C₂²	1	6	yes	complemented
84	C₃×#540	C₂²	1	6	yes	complemented
85	C₃×#540	C₂²	1	6	yes	complemented
86	C₃×#540	C₂²	1	6	yes	complemented
87	C₃×#540	C₂²	1	6	yes	complemented
88	C₃×#539	C₂²	1	6	yes	complemented
89	C₃×#539	C₂²	1	6	yes	complemented
90	C₃×#539	C₂²	1	6	yes	complemented
91	C₃×#539	C₂²	1	6	yes	complemented
92	C₃×#539	C₂²	1	6	yes	complemented
93	C₃×#539	C₂²	1	6	yes	complemented
94	C₃×#539	C₂²	1	3	yes	complemented
95	C₃×#538	C₂²	1	6	yes	complemented
96	C₃×#538	C₂²	1	6	yes	complemented
97	C₃×#538	C₂²	1	6	yes	complemented
98	C₃×#538	C₂²	1	6	yes	complemented
99	C₃×#538	C₂²	1	6	yes	complemented
100	C₃×#538	C₂²	1	3	yes	complemented
101	C₃×#538	C₂²	1	6	yes	complemented
102	C₃×#538	C₂²	1	6	yes	complemented
103	C₃×#538	C₂²	1	6	yes	complemented
104	C₃×#537	C₂²	1	6	yes	complemented
105	C₃×#537	C₂²	1	6	yes	complemented
106	C₃×#537	C₂²	1	3	yes	complemented
107	C₃×#535	C₂²	1	6	yes	complemented
108	C₃×#535	C₂²	1	6	yes	complemented
109	C₃×#535	C₂²	1	6	yes	complemented
110	C₃×#535	C₂²	1	6	yes	complemented
111	C₃×#535	C₂²	1	6	yes	complemented
112	C₃×#534	C₂²	1	6	yes	complemented
113	C₃×#534	C₂²	1	6	yes	complemented
114	C₃×#534	C₂²	1	6	yes	complemented
115	C₃×#534	C₂²	1	6	yes	complemented
116	C₃×#534	C₂²	1	6	yes	complemented
117	C₃×#534	C₂²	1	6	yes	complemented
118	C₃×#534	C₂²	1	3	yes	complemented
119	C₃×#532	C₂²	1	3	yes	complemented
120	C₂×C₃×#127	C₂²	1	2	yes	complemented
121	C₃×#529	C₂²	1	6	yes	complemented
122	C₃×#529	C₂²	1	6	yes	complemented
123	C₃×#529	C₂²	1	3	yes	complemented
124	C₂×C₃×#126	C₂²	1	1	yes	characteristic, complemented
125	C₃×#525	C₂²	1	6	yes	complemented
126	C₃×#525	C₂²	1	6	yes	complemented
127	C₃×#525	C₂²	1	6	yes	complemented
128	C₃×#525	C₂²	1	6	yes	complemented
129	C₂×C₃×#123	C₂²	1	6	yes	complemented
130	C₂×C₃×#121	C₂²	1	6	yes	complemented
131	C₂×C₃×#121	C₂²	1	6	yes	complemented
132	#3567	C₂×C₃	1	2	yes	complemented
133	#3567	C₂×C₃	1	1	yes	characteristic, complemented
134	#3566	C₂×C₃	1	6	yes	complemented
135	#3560	C₂×C₃	1	3	yes	complemented
136	#3546	C₂×C₃	1	3	yes	complemented
137	#3543	C₂×C₃	1	6	yes	complemented
138	#3542	C₂×C₃	1	6	yes	complemented
139	#3542	C₂×C₃	1	6	yes	complemented
140	#3539	C₂×C₃	1	6	yes	complemented
141	#3537	C₂×C₃	1	6	yes	complemented
142	#3534	C₂×C₃	1	6	yes	complemented
143	#3534	C₂×C₃	1	6	yes	complemented
144	#3533	C₂×C₃	1	6	yes	complemented
145	C₂×C₃×#41	C₂³	1	6	yes	—
146	C₂×C₃×#41	C₂³	1	6	yes	—
147	C₂×C₃×#41	C₂³	1	6	yes	—
148	C₂×C₃×#41	C₂³	1	6	yes	—
149	C₂×C₃×#41	C₂³	1	6	yes	—
150	C₂²×C₃×D₄	C₂³	1	6	yes	—
151	C₂²×C₃×D₄	C₂³	1	6	yes	—
152	C₂²×C₃×D₄	C₂³	1	6	yes	—
153	C₂²×C₃×D₄	C₂³	1	6	yes	—
154	C₂²×C₃×D₄	C₂³	1	6	yes	—
155	C₂²×C₃×D₄	C₂³	1	6	yes	—
156	C₂²×C₃×D₄	C₂³	1	6	yes	—
157	C₂²×C₃×D₄	C₂³	1	6	yes	—
158	C₂²×C₃×D₄	C₂³	1	6	yes	—
159	C₂³×C₃×C₄	C₂³	1	6	yes	—
160	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
161	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
162	C₃×#127	C₂³	1	6	yes	—
163	C₃×#127	C₂³	1	6	yes	—
164	C₃×#127	C₂³	1	3	yes	—
165	C₃×#127	C₂³	1	6	yes	—
166	C₃×#127	C₂³	1	6	yes	—
167	C₃×#127	C₂³	1	6	yes	—
168	C₃×#127	C₂³	1	2	yes	—
169	C₃×#127	C₂³	1	2	yes	—
170	C₃×#127	C₂³	1	2	yes	—
171	C₃×#126	C₂³	1	6	yes	—
172	C₃×#126	C₂³	1	6	yes	—
173	C₃×#126	C₂³	1	6	yes	—
174	C₃×#126	C₂³	1	6	yes	—
175	C₃×#126	C₂³	1	6	yes	—
176	C₃×#126	C₂³	1	6	yes	—
177	C₃×#126	C₂³	1	6	yes	—
178	C₃×#126	C₂³	1	6	yes	—
179	C₃×#126	C₂³	1	6	yes	—
180	C₃×#126	C₂³	1	6	yes	—
181	C₃×#126	C₂³	1	6	yes	—
182	C₃×#126	C₂³	1	6	yes	—
183	C₃×#126	C₂³	1	2	yes	—
184	C₃×#126	C₂³	1	2	yes	—
185	C₃×#126	C₂³	1	6	yes	—
186	C₃×#126	C₂³	1	6	yes	—
187	C₃×#126	C₂³	1	2	yes	—
188	C₃×#125	C₂³	1	3	yes	—
189	C₃×#125	C₂³	1	6	yes	—
190	C₃×#125	C₂³	1	6	yes	—
191	C₃×#125	C₂³	1	6	yes	—
192	C₃×#125	C₂³	1	6	yes	—
193	C₃×#125	C₂³	1	6	yes	—
194	C₃×#125	C₂³	1	6	yes	—
195	C₃×#125	C₂³	1	6	yes	—
196	C₃×#125	C₂³	1	6	yes	—
197	C₃×#124	C₂³	1	6	yes	—
198	C₃×#124	C₂³	1	6	yes	—
199	C₃×#124	C₂³	1	6	yes	—
200	C₃×#124	C₂³	1	6	yes	—
201	C₃×#124	C₂³	1	6	yes	—
202	C₃×#124	C₂³	1	3	yes	—
203	C₃×#124	C₂³	1	6	yes	—
204	C₃×#124	C₂³	1	6	yes	—
205	C₃×#124	C₂³	1	6	yes	—
206	C₃×#124	C₂³	1	6	yes	—
207	C₃×#124	C₂³	1	6	yes	—
208	C₃×#123	C₂³	1	6	yes	—
209	C₃×#123	C₂³	1	6	yes	—
210	C₃×#123	C₂³	1	6	yes	—
211	C₃×#123	C₂³	1	6	yes	—
212	C₃×#123	C₂³	1	6	yes	—
213	C₃×#123	C₂³	1	6	yes	—
214	C₃×#123	C₂³	1	6	yes	—
215	C₃×#123	C₂³	1	6	yes	—
216	C₃×#123	C₂³	1	6	yes	—
217	C₃×#123	C₂³	1	6	yes	—
218	C₃×#123	C₂³	1	6	yes	—
219	C₃×#123	C₂³	1	6	yes	—
220	C₃×#123	C₂³	1	6	yes	—
221	C₃×#123	C₂³	1	6	yes	—
222	C₃×#123	C₂³	1	6	yes	—
223	C₃×#123	C₂³	1	6	yes	—
224	C₃×#123	C₂³	1	6	yes	—
225	C₃×#123	C₂³	1	6	yes	—
226	C₃×#123	C₂³	1	6	yes	—
227	C₃×#123	C₂³	1	6	yes	—
228	C₃×#123	C₂³	1	6	yes	—
229	C₃×#123	C₂³	1	6	yes	—
230	C₃×#123	C₂³	1	6	yes	—
231	C₃×#123	C₂³	1	6	yes	—
232	C₃×#123	C₂³	1	6	yes	—
233	C₃×#123	C₂³	1	6	yes	—
234	C₃×#123	C₂³	1	6	yes	—
235	C₃×#123	C₂³	1	6	yes	—
236	C₃×#123	C₂³	1	6	yes	—
237	C₃×#123	C₂³	1	6	yes	—
238	C₃×#123	C₂³	1	6	yes	—
239	C₃×#123	C₂³	1	6	yes	—
240	C₃×#123	C₂³	1	6	yes	—
241	C₃×#123	C₂³	1	6	yes	—
242	C₃×#123	C₂³	1	6	yes	—
243	C₃×#123	C₂³	1	6	yes	—
244	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
245	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
246	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
247	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
248	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
249	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
250	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
251	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
252	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
253	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
254	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
255	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
256	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
257	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
258	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
259	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
260	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
261	C₃×#121	C₂³	1	6	yes	—
262	C₃×#121	C₂³	1	6	yes	—
263	C₃×#121	C₂³	1	6	yes	—
264	C₃×#121	C₂³	1	6	yes	—
265	C₃×#121	C₂³	1	6	yes	—
266	C₃×#121	C₂³	1	6	yes	—
267	C₃×#121	C₂³	1	6	yes	—
268	C₃×#121	C₂³	1	6	yes	—
269	C₃×#121	C₂³	1	3	yes	—
270	C₃×#121	C₂³	1	6	yes	—
271	C₃×#121	C₂³	1	3	yes	—
272	C₃×#121	C₂³	1	6	yes	—
273	C₃×#121	C₂³	1	6	yes	—
274	C₃×#121	C₂³	1	6	yes	—
275	C₃×#121	C₂³	1	6	yes	—
276	C₃×#121	C₂³	1	6	yes	—
277	C₃×#121	C₂³	1	6	yes	—
278	C₃×#121	C₂³	1	6	yes	—
279	C₃×#121	C₂³	1	6	yes	—
280	C₃×#121	C₂³	1	6	yes	—
281	C₃×#121	C₂³	1	6	yes	—
282	C₃×#121	C₂³	1	6	yes	—
283	C₃×#121	C₂³	1	6	yes	—
284	C₃×#121	C₂³	1	6	yes	—
285	C₃×#121	C₂³	1	6	yes	—
286	C₃×#121	C₂³	1	6	yes	—
287	C₃×#121	C₂³	1	6	yes	—
288	C₃×#121	C₂³	1	6	yes	—
289	C₃×#121	C₂³	1	6	yes	—
290	C₃×#121	C₂³	1	6	yes	—
291	C₃×#121	C₂³	1	6	yes	—
292	C₃×#121	C₂³	1	6	yes	—
293	C₃×#121	C₂³	1	6	yes	—
294	C₃×#121	C₂³	1	6	yes	—
295	C₃×#121	C₂³	1	6	yes	—
296	C₃×#121	C₂³	1	6	yes	—
297	C₃×#121	C₂³	1	6	yes	—
298	C₃×#121	C₂³	1	6	yes	—
299	C₃×#121	C₂³	1	6	yes	—
300	C₃×#121	C₂³	1	6	yes	—
301	C₃×#121	C₂³	1	6	yes	—
302	C₃×#121	C₂³	1	6	yes	—
303	C₃×#121	C₂³	1	6	yes	—
304	C₃×#121	C₂³	1	6	yes	—
305	C₃×#121	C₂³	1	6	yes	—
306	C₃×#121	C₂³	1	6	yes	—
307	C₃×#121	C₂³	1	6	yes	—
308	C₃×#121	C₂³	1	6	yes	—
309	C₃×#121	C₂³	1	6	yes	—
310	C₃×#121	C₂³	1	6	yes	—
311	C₃×#121	C₂³	1	6	yes	—
312	C₃×#121	C₂³	1	6	yes	—
313	C₃×#121	C₂³	1	6	yes	—
314	C₃×#121	C₂³	1	3	yes	—
315	C₃×#120	C₂³	1	6	yes	—
316	C₃×#120	C₂³	1	6	yes	—
317	C₃×#120	C₂³	1	6	yes	—
318	C₃×#120	C₂³	1	6	yes	—
319	C₃×#120	C₂³	1	6	yes	—
320	C₃×#120	C₂³	1	6	yes	—
321	C₃×#120	C₂³	1	6	yes	—
322	C₃×#120	C₂³	1	6	yes	—
323	C₃×#120	C₂³	1	6	yes	—
324	C₃×#120	C₂³	1	6	yes	—
325	C₃×#120	C₂³	1	6	yes	—
326	C₃×#120	C₂³	1	6	yes	—
327	C₃×#120	C₂³	1	6	yes	—
328	C₃×#120	C₂³	1	6	yes	—
329	C₃×#120	C₂³	1	6	yes	—
330	C₃×#120	C₂³	1	6	yes	—
331	C₃×#120	C₂³	1	6	yes	—
332	C₃×#120	C₂³	1	6	yes	—
333	C₃×#120	C₂³	1	6	yes	—
334	C₃×#120	C₂³	1	6	yes	—
335	C₃×#120	C₂³	1	6	yes	—
336	C₃×C₄×Q₈	C₂³	1	6	yes	—
337	C₃×C₄×Q₈	C₂³	1	6	yes	—
338	C₃×C₄×Q₈	C₂³	1	3	yes	—
339	C₃×C₄×D₄	C₂³	1	6	yes	—
340	C₃×C₄×D₄	C₂³	1	6	yes	—
341	C₃×C₄×D₄	C₂³	1	6	yes	—
342	C₃×C₄×D₄	C₂³	1	6	yes	—
343	C₃×C₄×D₄	C₂³	1	6	yes	—
344	C₃×C₄×D₄	C₂³	1	6	yes	—
345	C₃×C₄×D₄	C₂³	1	6	yes	—
346	C₃×C₄×D₄	C₂³	1	6	yes	—
347	C₃×C₄×D₄	C₂³	1	6	yes	—
348	C₃×C₄×D₄	C₂³	1	6	yes	—
349	C₃×C₄×D₄	C₂³	1	6	yes	—
350	C₃×C₄×D₄	C₂³	1	6	yes	—
351	C₃×C₄×D₄	C₂³	1	6	yes	—
352	C₃×C₄×D₄	C₂³	1	6	yes	—
353	C₃×C₄×D₄	C₂³	1	6	yes	—
354	C₃×C₄×D₄	C₂³	1	6	yes	—
355	C₃×C₄×D₄	C₂³	1	6	yes	—
356	C₃×C₄×D₄	C₂³	1	6	yes	—
357	C₃×C₄×D₄	C₂³	1	3	yes	—
358	C₃×C₄×D₄	C₂³	1	6	yes	—
359	C₃×C₄×D₄	C₂³	1	6	yes	—
360	C₃×C₄×D₄	C₂³	1	6	yes	—
361	C₃×C₄×D₄	C₂³	1	6	yes	—
362	C₃×C₄×D₄	C₂³	1	6	yes	—
363	C₃×C₄×D₄	C₂³	1	3	yes	—
364	C₃×C₄×D₄	C₂³	1	3	yes	—
365	C₃×C₄×D₄	C₂³	1	6	yes	—
366	C₃×#117	C₂³	1	6	yes	—
367	C₃×#117	C₂³	1	6	yes	—
368	C₃×#117	C₂³	1	6	yes	—
369	C₃×#117	C₂³	1	6	yes	—
370	C₃×#117	C₂³	1	6	yes	—
371	C₃×#117	C₂³	1	6	yes	—
372	C₃×#117	C₂³	1	6	yes	—
373	C₃×#117	C₂³	1	6	yes	—
374	C₃×#117	C₂³	1	6	yes	—
375	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
376	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
377	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
378	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
379	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
380	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
381	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
382	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
383	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
384	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
385	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
386	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
387	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
388	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
389	C₂×C₃×C₄²	C₂³	1	2	yes	—
390	#564	C₂²×C₃	1	1	yes	characteristic, complemented
391	#563	C₂²×C₃	1	6	yes	complemented
392	#562	C₂²×C₃	1	6	yes	complemented
393	#562	C₂²×C₃	1	6	yes	complemented
394	#562	C₂²×C₃	1	3	yes	complemented
395	#562	C₂²×C₃	1	6	yes	complemented
396	#562	C₂²×C₃	1	6	yes	complemented
397	#560	C₂²×C₃	1	6	yes	complemented
398	#560	C₂²×C₃	1	2	yes	complemented
399	#560	C₂²×C₃	1	6	yes	complemented
400	#560	C₂²×C₃	1	6	yes	complemented
401	#560	C₂²×C₃	1	6	yes	complemented
402	#560	C₂²×C₃	1	6	yes	complemented
403	#560	C₂²×C₃	1	6	yes	complemented
404	#560	C₂²×C₃	1	6	yes	complemented
405	#560	C₂²×C₃	1	6	yes	complemented
406	#559	C₂²×C₃	1	6	yes	complemented
407	#556	C₂²×C₃	1	3	yes	complemented
408	#555	C₂²×C₃	1	6	yes	complemented
409	#553	C₂²×C₃	1	6	yes	complemented
410	#553	C₂²×C₃	1	6	yes	complemented
411	#553	C₂²×C₃	1	6	yes	complemented
412	#553	C₂²×C₃	1	6	yes	complemented
413	#553	C₂²×C₃	1	6	yes	complemented
414	#553	C₂²×C₃	1	6	yes	complemented
415	#553	C₂²×C₃	1	6	yes	complemented
416	#553	C₂²×C₃	1	6	yes	complemented
417	#553	C₂²×C₃	1	6	yes	complemented
418	#552	C₂²×C₃	1	6	yes	complemented
419	#552	C₂²×C₃	1	6	yes	complemented
420	#552	C₂²×C₃	1	6	yes	complemented
421	#552	C₂²×C₃	1	6	yes	complemented
422	#551	C₂²×C₃	1	6	yes	complemented
423	#551	C₂²×C₃	1	6	yes	complemented
424	#551	C₂²×C₃	1	6	yes	complemented
425	#551	C₂²×C₃	1	6	yes	complemented
426	#551	C₂²×C₃	1	6	yes	complemented
427	#550	C₂²×C₃	1	6	yes	complemented
428	#550	C₂²×C₃	1	6	yes	complemented
429	#550	C₂²×C₃	1	3	yes	complemented
430	#547	C₂²×C₃	1	3	yes	complemented
431	#547	C₂²×C₃	1	6	yes	complemented
432	#547	C₂²×C₃	1	6	yes	complemented
433	#546	C₂²×C₃	1	6	yes	complemented
434	#546	C₂²×C₃	1	6	yes	complemented
435	#546	C₂²×C₃	1	6	yes	complemented
436	#546	C₂²×C₃	1	6	yes	complemented
437	#546	C₂²×C₃	1	6	yes	complemented
438	#546	C₂²×C₃	1	6	yes	complemented
439	#546	C₂²×C₃	1	6	yes	complemented
440	#546	C₂²×C₃	1	6	yes	complemented
441	#546	C₂²×C₃	1	6	yes	complemented
442	#546	C₂²×C₃	1	6	yes	complemented
443	D₄²	C₂²×C₃	1	6	yes	complemented
444	D₄²	C₂²×C₃	1	6	yes	complemented
445	D₄²	C₂²×C₃	1	6	yes	complemented
446	D₄²	C₂²×C₃	1	6	yes	complemented
447	D₄²	C₂²×C₃	1	6	yes	complemented
448	D₄²	C₂²×C₃	1	3	yes	complemented
449	D₄²	C₂²×C₃	1	6	yes	complemented
450	#542	C₂²×C₃	1	6	yes	complemented
451	#542	C₂²×C₃	1	6	yes	complemented
452	#542	C₂²×C₃	1	6	yes	complemented
453	#541	C₂²×C₃	1	6	yes	complemented
454	#540	C₂²×C₃	1	6	yes	complemented
455	#540	C₂²×C₃	1	6	yes	complemented
456	#540	C₂²×C₃	1	6	yes	complemented
457	#540	C₂²×C₃	1	6	yes	complemented
458	#540	C₂²×C₃	1	6	yes	complemented
459	#540	C₂²×C₃	1	6	yes	complemented
460	#540	C₂²×C₃	1	6	yes	complemented
461	#540	C₂²×C₃	1	6	yes	complemented
462	#540	C₂²×C₃	1	6	yes	complemented
463	#539	C₂²×C₃	1	6	yes	complemented
464	#539	C₂²×C₃	1	6	yes	complemented
465	#539	C₂²×C₃	1	6	yes	complemented
466	#539	C₂²×C₃	1	6	yes	complemented
467	#539	C₂²×C₃	1	6	yes	complemented
468	#539	C₂²×C₃	1	6	yes	complemented
469	#539	C₂²×C₃	1	3	yes	complemented
470	#538	C₂²×C₃	1	6	yes	complemented
471	#538	C₂²×C₃	1	6	yes	complemented
472	#538	C₂²×C₃	1	6	yes	complemented
473	#538	C₂²×C₃	1	6	yes	complemented
474	#538	C₂²×C₃	1	6	yes	complemented
475	#538	C₂²×C₃	1	3	yes	complemented
476	#538	C₂²×C₃	1	6	yes	complemented
477	#538	C₂²×C₃	1	6	yes	complemented
478	#538	C₂²×C₃	1	6	yes	complemented
479	#537	C₂²×C₃	1	6	yes	complemented
480	#537	C₂²×C₃	1	6	yes	complemented
481	#537	C₂²×C₃	1	3	yes	complemented
482	#535	C₂²×C₃	1	6	yes	complemented
483	#535	C₂²×C₃	1	6	yes	complemented
484	#535	C₂²×C₃	1	6	yes	complemented
485	#535	C₂²×C₃	1	6	yes	complemented
486	#535	C₂²×C₃	1	6	yes	complemented
487	#534	C₂²×C₃	1	6	yes	complemented
488	#534	C₂²×C₃	1	6	yes	complemented
489	#534	C₂²×C₃	1	6	yes	complemented
490	#534	C₂²×C₃	1	6	yes	complemented
491	#534	C₂²×C₃	1	6	yes	complemented
492	#534	C₂²×C₃	1	6	yes	complemented
493	#534	C₂²×C₃	1	3	yes	complemented
494	#532	C₂²×C₃	1	3	yes	complemented
495	C₂×#127	C₂²×C₃	1	2	yes	complemented
496	#529	C₂²×C₃	1	6	yes	complemented
497	#529	C₂²×C₃	1	6	yes	complemented
498	#529	C₂²×C₃	1	3	yes	complemented
499	C₂×#126	C₂²×C₃	1	1	yes	characteristic, complemented
500	#525	C₂²×C₃	1	6	yes	complemented
501	#525	C₂²×C₃	1	6	yes	complemented
502	#525	C₂²×C₃	1	6	yes	complemented
503	#525	C₂²×C₃	1	6	yes	complemented
504	C₂×#123	C₂²×C₃	1	6	yes	complemented
505	C₂×#121	C₂²×C₃	1	6	yes	complemented
506	C₂×#121	C₂²×C₃	1	6	yes	complemented
507	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
508	C₂⁴×C₃	C₂⁴	1	6	yes	—
509	C₂⁴×C₃	C₂⁴	1	6	yes	—
510	C₂⁴×C₃	C₂⁴	1	6	yes	—
511	C₃×#41	—	8	6	no	—
512	C₃×#41	—	8	6	no	—
513	C₃×#41	—	8	6	no	—
514	C₃×#41	—	8	6	no	—
515	C₃×#41	—	8	6	no	—
516	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
517	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
518	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
519	C₂×C₃×D₄	—	8	6	no	—
520	C₂×C₃×D₄	—	8	6	no	—
521	C₂×C₃×D₄	—	8	6	no	—
522	C₂×C₃×D₄	—	8	6	no	—
523	C₂×C₃×D₄	—	8	6	no	—
524	C₂×C₃×D₄	—	8	6	no	—
525	C₂×C₃×D₄	—	8	6	no	—
526	C₂×C₃×D₄	—	8	6	no	—
527	C₂×C₃×D₄	—	8	6	no	—
528	C₂×C₃×D₄	C₂⁴	1	6	yes	—
529	C₂×C₃×D₄	C₂⁴	1	6	yes	—
530	C₂×C₃×D₄	C₂⁴	1	6	yes	—
531	C₂×C₃×D₄	C₂⁴	1	3	yes	—
532	C₂×C₃×D₄	C₂⁴	1	6	yes	—
533	C₂×C₃×D₄	C₂⁴	1	6	yes	—
534	C₂×C₃×D₄	C₂⁴	1	6	yes	—
535	C₂×C₃×D₄	C₂⁴	1	6	yes	—
536	C₂×C₃×D₄	C₂⁴	1	6	yes	—
537	C₂×C₃×D₄	C₂⁴	1	6	yes	—
538	C₂×C₃×D₄	C₂⁴	1	6	yes	—
539	C₂×C₃×D₄	C₂⁴	1	6	yes	—
540	C₂×C₃×D₄	C₂⁴	1	6	yes	—
541	C₂×C₃×D₄	C₂⁴	1	3	yes	—
542	C₂×C₃×D₄	C₂⁴	1	6	yes	—
543	C₂×C₃×D₄	C₂⁴	1	6	yes	—
544	C₂×C₃×D₄	C₂⁴	1	6	yes	—
545	C₂×C₃×D₄	C₂⁴	1	3	yes	—
546	C₂×C₃×D₄	C₂⁴	1	6	yes	—
547	C₂×C₃×D₄	C₂⁴	1	6	yes	—
548	C₂×C₃×D₄	C₂⁴	1	6	yes	—
549	C₂×C₃×D₄	C₂⁴	1	6	yes	—
550	C₂×C₃×D₄	C₂⁴	1	6	yes	—
551	C₂×C₃×D₄	C₂⁴	1	6	yes	—
552	C₂×C₃×D₄	C₂⁴	1	6	yes	—
553	C₂×C₃×D₄	C₂⁴	1	6	yes	—
554	C₂×C₃×D₄	C₂⁴	1	6	yes	—
555	C₂²×C₃×C₄	—	8	6	no	—
556	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
557	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
558	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
559	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
560	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
561	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
562	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
563	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
564	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
565	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
566	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
567	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
568	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
569	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
570	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
571	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
572	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
573	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
574	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
575	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
576	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
577	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
578	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
579	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
580	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
581	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
582	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
583	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
584	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
585	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
586	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
587	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
588	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
589	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
590	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
591	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
592	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
593	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
594	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
595	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
596	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
597	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
598	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
599	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
600	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
601	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
602	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
603	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
604	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
605	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
606	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
607	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
608	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
609	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
610	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
611	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
612	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
613	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
614	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
615	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
616	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
617	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
618	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
619	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
620	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
621	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
622	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
623	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
624	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
625	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
626	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
627	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
628	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
629	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
630	C₃×C₄²	C₂⁴	1	2	yes	—
631	C₃×C₄²	C₂⁴	1	3	yes	—
632	C₃×C₄²	C₂⁴	1	6	yes	—
633	C₃×C₄²	C₂⁴	1	1	yes	characteristic
634	C₃×C₄²	C₂⁴	1	6	yes	—
635	C₃×C₄²	C₂⁴	1	2	yes	—
636	C₃×C₄²	C₂⁴	1	6	yes	—
637	C₃×C₄²	C₂⁴	1	6	yes	—
638	C₃×C₄²	C₂⁴	1	6	yes	—
639	C₂×#41	C₂³×C₃	1	6	yes	—
640	C₂×#41	C₂³×C₃	1	6	yes	—
641	C₂×#41	C₂³×C₃	1	6	yes	—
642	C₂×#41	C₂³×C₃	1	6	yes	—
643	C₂×#41	C₂³×C₃	1	6	yes	—
644	C₂²×D₄	C₂³×C₃	1	6	yes	—
645	C₂²×D₄	C₂³×C₃	1	6	yes	—
646	C₂²×D₄	C₂³×C₃	1	6	yes	—
647	C₂²×D₄	C₂³×C₃	1	6	yes	—
648	C₂²×D₄	C₂³×C₃	1	6	yes	—
649	C₂²×D₄	C₂³×C₃	1	6	yes	—
650	C₂²×D₄	C₂³×C₃	1	6	yes	—
651	C₂²×D₄	C₂³×C₃	1	6	yes	—
652	C₂²×D₄	C₂³×C₃	1	6	yes	—
653	C₂³×C₄	C₂³×C₃	1	6	yes	—
654	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
655	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
656	#127	C₂³×C₃	1	2	yes	—
657	#127	C₂³×C₃	1	2	yes	—
658	#127	C₂³×C₃	1	6	yes	—
659	#127	C₂³×C₃	1	6	yes	—
660	#127	C₂³×C₃	1	3	yes	—
661	#127	C₂³×C₃	1	6	yes	—
662	#127	C₂³×C₃	1	6	yes	—
663	#127	C₂³×C₃	1	6	yes	—
664	#127	C₂³×C₃	1	2	yes	—
665	#126	C₂³×C₃	1	2	yes	—
666	#126	C₂³×C₃	1	6	yes	—
667	#126	C₂³×C₃	1	6	yes	—
668	#126	C₂³×C₃	1	6	yes	—
669	#126	C₂³×C₃	1	6	yes	—
670	#126	C₂³×C₃	1	6	yes	—
671	#126	C₂³×C₃	1	6	yes	—
672	#126	C₂³×C₃	1	6	yes	—
673	#126	C₂³×C₃	1	6	yes	—
674	#126	C₂³×C₃	1	6	yes	—
675	#126	C₂³×C₃	1	6	yes	—
676	#126	C₂³×C₃	1	6	yes	—
677	#126	C₂³×C₃	1	6	yes	—
678	#126	C₂³×C₃	1	6	yes	—
679	#126	C₂³×C₃	1	6	yes	—
680	#126	C₂³×C₃	1	2	yes	—
681	#126	C₂³×C₃	1	2	yes	—
682	#125	C₂³×C₃	1	6	yes	—
683	#125	C₂³×C₃	1	3	yes	—
684	#125	C₂³×C₃	1	6	yes	—
685	#125	C₂³×C₃	1	6	yes	—
686	#125	C₂³×C₃	1	6	yes	—
687	#125	C₂³×C₃	1	6	yes	—
688	#125	C₂³×C₃	1	6	yes	—
689	#125	C₂³×C₃	1	6	yes	—
690	#125	C₂³×C₃	1	6	yes	—
691	#124	C₂³×C₃	1	6	yes	—
692	#124	C₂³×C₃	1	6	yes	—
693	#124	C₂³×C₃	1	3	yes	—
694	#124	C₂³×C₃	1	6	yes	—
695	#124	C₂³×C₃	1	6	yes	—
696	#124	C₂³×C₃	1	6	yes	—
697	#124	C₂³×C₃	1	6	yes	—
698	#124	C₂³×C₃	1	6	yes	—
699	#124	C₂³×C₃	1	6	yes	—
700	#124	C₂³×C₃	1	6	yes	—
701	#124	C₂³×C₃	1	6	yes	—
702	#123	C₂³×C₃	1	6	yes	—
703	#123	C₂³×C₃	1	6	yes	—
704	#123	C₂³×C₃	1	6	yes	—
705	#123	C₂³×C₃	1	6	yes	—
706	#123	C₂³×C₃	1	6	yes	—
707	#123	C₂³×C₃	1	6	yes	—
708	#123	C₂³×C₃	1	6	yes	—
709	#123	C₂³×C₃	1	6	yes	—
710	#123	C₂³×C₃	1	6	yes	—
711	#123	C₂³×C₃	1	6	yes	—
712	#123	C₂³×C₃	1	6	yes	—
713	#123	C₂³×C₃	1	6	yes	—
714	#123	C₂³×C₃	1	6	yes	—
715	#123	C₂³×C₃	1	6	yes	—
716	#123	C₂³×C₃	1	6	yes	—
717	#123	C₂³×C₃	1	6	yes	—
718	#123	C₂³×C₃	1	6	yes	—
719	#123	C₂³×C₃	1	6	yes	—
720	#123	C₂³×C₃	1	6	yes	—
721	#123	C₂³×C₃	1	6	yes	—
722	#123	C₂³×C₃	1	6	yes	—
723	#123	C₂³×C₃	1	6	yes	—
724	#123	C₂³×C₃	1	6	yes	—
725	#123	C₂³×C₃	1	6	yes	—
726	#123	C₂³×C₃	1	6	yes	—
727	#123	C₂³×C₃	1	6	yes	—
728	#123	C₂³×C₃	1	6	yes	—
729	#123	C₂³×C₃	1	6	yes	—
730	#123	C₂³×C₃	1	6	yes	—
731	#123	C₂³×C₃	1	6	yes	—
732	#123	C₂³×C₃	1	6	yes	—
733	#123	C₂³×C₃	1	6	yes	—
734	#123	C₂³×C₃	1	6	yes	—
735	#123	C₂³×C₃	1	6	yes	—
736	#123	C₂³×C₃	1	6	yes	—
737	#123	C₂³×C₃	1	6	yes	—
738	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
739	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
740	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
741	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
742	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
743	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
744	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
745	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
746	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
747	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
748	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
749	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
750	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
751	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
752	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
753	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
754	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
755	#121	C₂³×C₃	1	6	yes	—
756	#121	C₂³×C₃	1	6	yes	—
757	#121	C₂³×C₃	1	6	yes	—
758	#121	C₂³×C₃	1	6	yes	—
759	#121	C₂³×C₃	1	6	yes	—
760	#121	C₂³×C₃	1	6	yes	—
761	#121	C₂³×C₃	1	6	yes	—
762	#121	C₂³×C₃	1	6	yes	—
763	#121	C₂³×C₃	1	6	yes	—
764	#121	C₂³×C₃	1	6	yes	—
765	#121	C₂³×C₃	1	6	yes	—
766	#121	C₂³×C₃	1	6	yes	—
767	#121	C₂³×C₃	1	6	yes	—
768	#121	C₂³×C₃	1	6	yes	—
769	#121	C₂³×C₃	1	6	yes	—
770	#121	C₂³×C₃	1	6	yes	—
771	#121	C₂³×C₃	1	6	yes	—
772	#121	C₂³×C₃	1	6	yes	—
773	#121	C₂³×C₃	1	6	yes	—
774	#121	C₂³×C₃	1	6	yes	—
775	#121	C₂³×C₃	1	6	yes	—
776	#121	C₂³×C₃	1	6	yes	—
777	#121	C₂³×C₃	1	6	yes	—
778	#121	C₂³×C₃	1	6	yes	—
779	#121	C₂³×C₃	1	3	yes	—
780	#121	C₂³×C₃	1	6	yes	—
781	#121	C₂³×C₃	1	6	yes	—
782	#121	C₂³×C₃	1	3	yes	—
783	#121	C₂³×C₃	1	6	yes	—
784	#121	C₂³×C₃	1	3	yes	—
785	#121	C₂³×C₃	1	6	yes	—
786	#121	C₂³×C₃	1	6	yes	—
787	#121	C₂³×C₃	1	6	yes	—
788	#121	C₂³×C₃	1	6	yes	—
789	#121	C₂³×C₃	1	6	yes	—
790	#121	C₂³×C₃	1	6	yes	—
791	#121	C₂³×C₃	1	6	yes	—
792	#121	C₂³×C₃	1	6	yes	—
793	#121	C₂³×C₃	1	6	yes	—
794	#121	C₂³×C₃	1	6	yes	—
795	#121	C₂³×C₃	1	6	yes	—
796	#121	C₂³×C₃	1	6	yes	—
797	#121	C₂³×C₃	1	6	yes	—
798	#121	C₂³×C₃	1	6	yes	—
799	#121	C₂³×C₃	1	6	yes	—
800	#121	C₂³×C₃	1	6	yes	—
801	#121	C₂³×C₃	1	6	yes	—
802	#121	C₂³×C₃	1	6	yes	—
803	#121	C₂³×C₃	1	6	yes	—
804	#121	C₂³×C₃	1	6	yes	—
805	#121	C₂³×C₃	1	6	yes	—
806	#121	C₂³×C₃	1	6	yes	—
807	#121	C₂³×C₃	1	6	yes	—
808	#121	C₂³×C₃	1	6	yes	—
809	#120	C₂³×C₃	1	6	yes	—
810	#120	C₂³×C₃	1	6	yes	—
811	#120	C₂³×C₃	1	6	yes	—
812	#120	C₂³×C₃	1	6	yes	—
813	#120	C₂³×C₃	1	6	yes	—
814	#120	C₂³×C₃	1	6	yes	—
815	#120	C₂³×C₃	1	6	yes	—
816	#120	C₂³×C₃	1	6	yes	—
817	#120	C₂³×C₃	1	6	yes	—
818	#120	C₂³×C₃	1	6	yes	—
819	#120	C₂³×C₃	1	6	yes	—
820	#120	C₂³×C₃	1	6	yes	—
821	#120	C₂³×C₃	1	6	yes	—
822	#120	C₂³×C₃	1	6	yes	—
823	#120	C₂³×C₃	1	6	yes	—
824	#120	C₂³×C₃	1	6	yes	—
825	#120	C₂³×C₃	1	6	yes	—
826	#120	C₂³×C₃	1	6	yes	—
827	#120	C₂³×C₃	1	6	yes	—
828	#120	C₂³×C₃	1	6	yes	—
829	#120	C₂³×C₃	1	6	yes	—
830	C₄×Q₈	C₂³×C₃	1	6	yes	—
831	C₄×Q₈	C₂³×C₃	1	6	yes	—
832	C₄×Q₈	C₂³×C₃	1	3	yes	—
833	C₄×D₄	C₂³×C₃	1	6	yes	—
834	C₄×D₄	C₂³×C₃	1	6	yes	—
835	C₄×D₄	C₂³×C₃	1	6	yes	—
836	C₄×D₄	C₂³×C₃	1	6	yes	—
837	C₄×D₄	C₂³×C₃	1	6	yes	—
838	C₄×D₄	C₂³×C₃	1	6	yes	—
839	C₄×D₄	C₂³×C₃	1	6	yes	—
840	C₄×D₄	C₂³×C₃	1	6	yes	—
841	C₄×D₄	C₂³×C₃	1	6	yes	—
842	C₄×D₄	C₂³×C₃	1	6	yes	—
843	C₄×D₄	C₂³×C₃	1	6	yes	—
844	C₄×D₄	C₂³×C₃	1	6	yes	—
845	C₄×D₄	C₂³×C₃	1	6	yes	—
846	C₄×D₄	C₂³×C₃	1	6	yes	—
847	C₄×D₄	C₂³×C₃	1	6	yes	—
848	C₄×D₄	C₂³×C₃	1	6	yes	—
849	C₄×D₄	C₂³×C₃	1	3	yes	—
850	C₄×D₄	C₂³×C₃	1	6	yes	—
851	C₄×D₄	C₂³×C₃	1	6	yes	—
852	C₄×D₄	C₂³×C₃	1	6	yes	—
853	C₄×D₄	C₂³×C₃	1	6	yes	—
854	C₄×D₄	C₂³×C₃	1	6	yes	—
855	C₄×D₄	C₂³×C₃	1	6	yes	—
856	C₄×D₄	C₂³×C₃	1	6	yes	—
857	C₄×D₄	C₂³×C₃	1	3	yes	—
858	C₄×D₄	C₂³×C₃	1	3	yes	—
859	C₄×D₄	C₂³×C₃	1	6	yes	—
860	#117	C₂³×C₃	1	6	yes	—
861	#117	C₂³×C₃	1	6	yes	—
862	#117	C₂³×C₃	1	6	yes	—
863	#117	C₂³×C₃	1	6	yes	—
864	#117	C₂³×C₃	1	6	yes	—
865	#117	C₂³×C₃	1	6	yes	—
866	#117	C₂³×C₃	1	6	yes	—
867	#117	C₂³×C₃	1	6	yes	—
868	#117	C₂³×C₃	1	6	yes	—
869	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
870	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
871	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
872	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
873	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
874	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
875	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
876	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
877	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
878	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
879	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
880	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
881	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
882	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
883	C₂×C₄²	C₂³×C₃	1	2	yes	—
884	C₂³×C₃	—	4	6	no	—
885	C₂³×C₃	—	4	6	no	—
886	C₂³×C₃	—	4	6	no	—
887	C₂³×C₃	—	4	6	no	—
888	C₂³×C₃	—	4	3	no	—
889	C₂³×C₃	—	4	6	no	—
890	C₂³×C₃	—	4	6	no	—
891	C₂³×C₃	—	4	6	no	—
892	C₂³×C₃	—	4	6	no	—
893	C₂³×C₃	—	4	6	no	—
894	C₂³×C₃	C₂⁵	1	2	yes	—
895	C₂³×C₃	C₂⁵	1	6	yes	—
896	C₂³×C₃	C₂⁵	1	6	yes	—
897	C₂³×C₃	C₂⁵	1	6	yes	—
898	C₂³×C₃	C₂⁵	1	1	yes	characteristic
899	C₃×Q₈	—	4	3	no	—
900	C₃×Q₈	—	4	6	no	—
901	C₃×Q₈	—	4	6	no	—
902	C₃×D₄	—	4	6	no	—
903	C₃×D₄	—	4	6	no	—
904	C₃×D₄	—	4	6	no	—
905	C₃×D₄	—	4	6	no	—
906	C₃×D₄	—	4	6	no	—
907	C₃×D₄	—	4	6	no	—
908	C₃×D₄	—	4	3	no	—
909	C₃×D₄	—	4	6	no	—
910	C₃×D₄	—	4	6	no	—
911	C₃×D₄	—	4	6	no	—
912	C₃×D₄	—	4	6	no	—
913	C₃×D₄	—	4	6	no	—
914	C₃×D₄	—	4	6	no	—
915	C₃×D₄	—	4	3	no	—
916	C₃×D₄	—	4	6	no	—
917	C₃×D₄	—	4	6	no	—
918	C₃×D₄	—	4	6	no	—
919	C₃×D₄	—	4	6	no	—
920	C₃×D₄	—	4	6	no	—
921	C₃×D₄	—	4	6	no	—
922	C₃×D₄	—	4	6	no	—
923	C₃×D₄	—	4	6	no	—
924	C₃×D₄	—	4	6	no	—
925	C₃×D₄	—	4	6	no	—
926	C₃×D₄	—	4	6	no	—
927	C₃×D₄	—	4	6	no	—
928	C₃×D₄	—	4	3	no	—
929	C₂×C₃×C₄	—	4	6	no	—
930	C₂×C₃×C₄	—	4	6	no	—
931	C₂×C₃×C₄	—	4	6	no	—
932	C₂×C₃×C₄	—	4	6	no	—
933	C₂×C₃×C₄	—	4	6	no	—
934	C₂×C₃×C₄	—	4	6	no	—
935	C₂×C₃×C₄	—	4	6	no	—
936	C₂×C₃×C₄	—	4	6	no	—
937	C₂×C₃×C₄	—	4	6	no	—
938	C₂×C₃×C₄	—	4	6	no	—
939	C₂×C₃×C₄	—	4	6	no	—
940	C₂×C₃×C₄	—	4	6	no	—
941	C₂×C₃×C₄	—	4	3	no	—
942	C₂×C₃×C₄	—	4	6	no	—
943	C₂×C₃×C₄	—	4	6	no	—
944	C₂×C₃×C₄	—	4	3	no	—
945	C₂×C₃×C₄	C₂⁵	1	3	yes	—
946	C₂×C₃×C₄	C₂⁵	1	6	yes	—
947	C₂×C₃×C₄	C₂⁵	1	6	yes	—
948	C₂×C₃×C₄	C₂⁵	1	6	yes	—
949	C₂×C₃×C₄	C₂⁵	1	3	yes	—
950	C₂×C₃×C₄	C₂⁵	1	6	yes	—
951	C₂×C₃×C₄	C₂⁵	1	6	yes	—
952	C₂×C₃×C₄	C₂⁵	1	6	yes	—
953	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
954	C₂⁴	C₂⁴×C₃	1	6	yes	—
955	C₂⁴	C₂⁴×C₃	1	6	yes	—
956	C₂⁴	C₂⁴×C₃	1	6	yes	—
957	#41	—	8	6	no	—
958	#41	—	8	6	no	—
959	#41	—	8	6	no	—
960	#41	—	8	6	no	—
961	#41	—	8	6	no	—
962	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
963	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
964	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
965	C₂×D₄	—	8	6	no	—
966	C₂×D₄	—	8	6	no	—
967	C₂×D₄	—	8	6	no	—
968	C₂×D₄	—	8	6	no	—
969	C₂×D₄	—	8	6	no	—
970	C₂×D₄	—	8	6	no	—
971	C₂×D₄	—	8	6	no	—
972	C₂×D₄	—	8	6	no	—
973	C₂×D₄	—	8	6	no	—
974	C₂×D₄	C₂⁴×C₃	1	6	yes	—
975	C₂×D₄	C₂⁴×C₃	1	6	yes	—
976	C₂×D₄	C₂⁴×C₃	1	6	yes	—
977	C₂×D₄	C₂⁴×C₃	1	3	yes	—
978	C₂×D₄	C₂⁴×C₃	1	6	yes	—
979	C₂×D₄	C₂⁴×C₃	1	6	yes	—
980	C₂×D₄	C₂⁴×C₃	1	6	yes	—
981	C₂×D₄	C₂⁴×C₃	1	6	yes	—
982	C₂×D₄	C₂⁴×C₃	1	6	yes	—
983	C₂×D₄	C₂⁴×C₃	1	6	yes	—
984	C₂×D₄	C₂⁴×C₃	1	6	yes	—
985	C₂×D₄	C₂⁴×C₃	1	6	yes	—
986	C₂×D₄	C₂⁴×C₃	1	6	yes	—
987	C₂×D₄	C₂⁴×C₃	1	3	yes	—
988	C₂×D₄	C₂⁴×C₃	1	6	yes	—
989	C₂×D₄	C₂⁴×C₃	1	6	yes	—
990	C₂×D₄	C₂⁴×C₃	1	6	yes	—
991	C₂×D₄	C₂⁴×C₃	1	3	yes	—
992	C₂×D₄	C₂⁴×C₃	1	6	yes	—
993	C₂×D₄	C₂⁴×C₃	1	6	yes	—
994	C₂×D₄	C₂⁴×C₃	1	6	yes	—
995	C₂×D₄	C₂⁴×C₃	1	6	yes	—
996	C₂×D₄	C₂⁴×C₃	1	6	yes	—
997	C₂×D₄	C₂⁴×C₃	1	6	yes	—
998	C₂×D₄	C₂⁴×C₃	1	6	yes	—
999	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1000	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1001	C₂²×C₄	—	8	6	no	—
1002	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1003	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1004	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1005	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1006	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1007	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1008	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1009	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1010	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1011	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1012	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1013	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1014	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1015	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1016	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1017	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1018	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1019	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1020	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1021	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1022	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1023	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1024	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1025	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1026	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1027	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1028	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1029	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1030	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1031	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1032	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1033	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1034	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1035	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1036	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1037	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1038	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1039	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1040	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1041	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1042	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1043	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1044	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1045	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1046	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1047	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1048	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1049	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1050	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1051	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1052	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1053	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1054	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1055	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1056	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1057	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1058	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1059	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1060	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1061	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1062	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1063	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1064	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1065	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1066	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1067	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1068	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1069	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1070	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1071	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1072	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1073	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1074	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1075	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1076	C₄²	C₂⁴×C₃	1	2	yes	—
1077	C₄²	C₂⁴×C₃	1	3	yes	—
1078	C₄²	C₂⁴×C₃	1	6	yes	—
1079	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1080	C₄²	C₂⁴×C₃	1	6	yes	—
1081	C₄²	C₂⁴×C₃	1	2	yes	—
1082	C₄²	C₂⁴×C₃	1	6	yes	—
1083	C₄²	C₂⁴×C₃	1	6	yes	—
1084	C₄²	C₂⁴×C₃	1	6	yes	—
1085	C₂²×C₃	—	2	6	no	—
1086	C₂²×C₃	—	2	3	no	—
1087	C₂²×C₃	—	2	6	no	—
1088	C₂²×C₃	—	2	6	no	—
1089	C₂²×C₃	—	2	6	no	—
1090	C₂²×C₃	—	2	6	no	—
1091	C₂²×C₃	—	2	6	no	—
1092	C₂²×C₃	—	2	6	no	—
1093	C₂²×C₃	—	2	6	no	—
1094	C₂²×C₃	—	2	6	no	—
1095	C₂²×C₃	—	2	6	no	—
1096	C₂²×C₃	—	8	12	no	—
1097	C₂²×C₃	—	16	6	no	—
1098	C₂²×C₃	—	16	6	no	—
1099	C₂²×C₃	—	16	1	no	—
1100	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1101	C₃×C₄	—	2	6	no	—
1102	C₃×C₄	—	2	6	no	—
1103	C₃×C₄	—	2	6	no	—
1104	C₃×C₄	—	2	3	no	—
1105	C₃×C₄	—	2	6	no	—
1106	C₃×C₄	—	2	6	no	—
1107	C₃×C₄	—	2	6	no	—
1108	C₃×C₄	—	2	3	no	—
1109	C₂³	—	4	6	no	—
1110	C₂³	—	4	6	no	—
1111	C₂³	—	4	6	no	—
1112	C₂³	—	4	6	no	—
1113	C₂³	—	4	3	no	—
1114	C₂³	—	4	6	no	—
1115	C₂³	—	4	6	no	—
1116	C₂³	—	4	6	no	—
1117	C₂³	—	4	6	no	—
1118	C₂³	—	4	6	no	—
1119	C₂³	C₂⁵×C₃	1	2	yes	—
1120	C₂³	C₂⁵×C₃	1	6	yes	—
1121	C₂³	C₂⁵×C₃	1	6	yes	—
1122	C₂³	C₂⁵×C₃	1	6	yes	—
1123	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1124	Q₈	—	4	3	no	—
1125	Q₈	—	4	6	no	—
1126	Q₈	—	4	6	no	—
1127	D₄	—	4	6	no	—
1128	D₄	—	4	6	no	—
1129	D₄	—	4	6	no	—
1130	D₄	—	4	6	no	—
1131	D₄	—	4	6	no	—
1132	D₄	—	4	6	no	—
1133	D₄	—	4	3	no	—
1134	D₄	—	4	6	no	—
1135	D₄	—	4	6	no	—
1136	D₄	—	4	6	no	—
1137	D₄	—	4	6	no	—
1138	D₄	—	4	6	no	—
1139	D₄	—	4	6	no	—
1140	D₄	—	4	3	no	—
1141	D₄	—	4	6	no	—
1142	D₄	—	4	6	no	—
1143	D₄	—	4	6	no	—
1144	D₄	—	4	6	no	—
1145	D₄	—	4	6	no	—
1146	D₄	—	4	6	no	—
1147	D₄	—	4	6	no	—
1148	D₄	—	4	6	no	—
1149	D₄	—	4	6	no	—
1150	D₄	—	4	6	no	—
1151	D₄	—	4	6	no	—
1152	D₄	—	4	6	no	—
1153	D₄	—	4	3	no	—
1154	C₂×C₄	—	4	6	no	—
1155	C₂×C₄	—	4	6	no	—
1156	C₂×C₄	—	4	6	no	—
1157	C₂×C₄	—	4	6	no	—
1158	C₂×C₄	—	4	6	no	—
1159	C₂×C₄	—	4	6	no	—
1160	C₂×C₄	—	4	6	no	—
1161	C₂×C₄	—	4	6	no	—
1162	C₂×C₄	—	4	6	no	—
1163	C₂×C₄	—	4	6	no	—
1164	C₂×C₄	—	4	6	no	—
1165	C₂×C₄	—	4	6	no	—
1166	C₂×C₄	—	4	3	no	—
1167	C₂×C₄	—	4	6	no	—
1168	C₂×C₄	—	4	6	no	—
1169	C₂×C₄	—	4	3	no	—
1170	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1171	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1172	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1173	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1174	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1175	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1176	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1177	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1178	C₂×C₃	—	4	6	no	—
1179	C₂×C₃	—	4	6	no	—
1180	C₂×C₃	—	4	6	no	—
1181	C₂×C₃	—	4	1	no	—
1182	C₂×C₃	—	4	2	no	—
1183	C₂×C₃	H(7,𝔽₂)	1	3	yes	—
1184	C₂²	—	2	6	no	—
1185	C₂²	—	2	3	no	—
1186	C₂²	—	2	6	no	—
1187	C₂²	—	2	6	no	—
1188	C₂²	—	2	6	no	—
1189	C₂²	—	2	6	no	—
1190	C₂²	—	2	6	no	—
1191	C₂²	—	2	6	no	—
1192	C₂²	—	2	6	no	—
1193	C₂²	—	2	6	no	—
1194	C₂²	—	2	6	no	—
1195	C₂²	—	8	12	no	—
1196	C₂²	—	16	6	no	—
1197	C₂²	—	16	6	no	—
1198	C₂²	—	16	1	no	—
1199	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1200	C₄	—	2	6	no	—
1201	C₄	—	2	6	no	—
1202	C₄	—	2	6	no	—
1203	C₄	—	2	3	no	—
1204	C₄	—	2	6	no	—
1205	C₄	—	2	6	no	—
1206	C₄	—	2	6	no	—
1207	C₄	—	2	3	no	—
1208	C₃	#62976	1	1	yes	characteristic, direct product factor, Sylow
1209	C₂	—	4	6	no	—
1210	C₂	—	4	6	no	—
1211	C₂	—	4	6	no	—
1212	C₂	—	4	2	no	—
1213	C₂	—	4	1	no	—
1214	C₂	C₃×H(7,𝔽₂)	1	3	yes	—

	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×#3567	C₂	semidirect
2. C₃×#3567	C₂	semidirect
3. C₃×#3566	C₂	semidirect
4. C₃×#3560	C₂	semidirect
5. C₃×#3546	C₂	semidirect
6. C₃×#3543	C₂	semidirect
7. C₃×#3542	C₂	semidirect
8. C₃×#3542	C₂	semidirect
9. C₃×#3539	C₂	semidirect
10. C₃×#3537	C₂	semidirect
11. C₃×#3534	C₂	semidirect
12. C₃×#3534	C₂	semidirect
13. C₃×#3533	C₂	semidirect
14. #62976	C₃	direct (N × H)
15. C₃×#564	C₂²	semidirect
16. C₃×#563	C₂²	semidirect
17. C₃×#562	C₂²	semidirect
18. C₃×#562	C₂²	semidirect
19. C₃×#562	C₂²	semidirect
20. C₃×#562	C₂²	semidirect
21. C₃×#562	C₂²	semidirect
22. C₃×#560	C₂²	semidirect
23. C₃×#560	C₂²	semidirect
24. C₃×#560	C₂²	semidirect
25. C₃×#560	C₂²	semidirect
26. C₃×#560	C₂²	semidirect
27. C₃×#560	C₂²	semidirect
28. C₃×#560	C₂²	semidirect
29. C₃×#560	C₂²	semidirect
30. C₃×#560	C₂²	semidirect
31. C₃×#559	C₂²	semidirect
32. C₃×#556	C₂²	semidirect
33. C₃×#555	C₂²	semidirect
34. C₃×#553	C₂²	semidirect
35. C₃×#553	C₂²	semidirect
36. C₃×#553	C₂²	semidirect
37. C₃×#553	C₂²	semidirect
38. C₃×#553	C₂²	semidirect
39. C₃×#553	C₂²	semidirect
40. C₃×#553	C₂²	semidirect
41. C₃×#553	C₂²	semidirect
42. C₃×#553	C₂²	semidirect
43. C₃×#552	C₂²	semidirect
44. C₃×#552	C₂²	semidirect
45. C₃×#552	C₂²	semidirect
46. C₃×#552	C₂²	semidirect
47. C₃×#551	C₂²	semidirect
48. C₃×#551	C₂²	semidirect
49. C₃×#551	C₂²	semidirect
50. C₃×#551	C₂²	semidirect
51. C₃×#551	C₂²	semidirect
52. C₃×#550	C₂²	semidirect
53. C₃×#550	C₂²	semidirect
54. C₃×#550	C₂²	semidirect
55. C₃×#547	C₂²	semidirect
56. C₃×#547	C₂²	semidirect
57. C₃×#547	C₂²	semidirect
58. C₃×#546	C₂²	semidirect
59. C₃×#546	C₂²	semidirect
60. C₃×#546	C₂²	semidirect
61. C₃×#546	C₂²	semidirect
62. C₃×#546	C₂²	semidirect
63. C₃×#546	C₂²	semidirect
64. C₃×#546	C₂²	semidirect
65. C₃×#546	C₂²	semidirect
66. C₃×#546	C₂²	semidirect
67. C₃×#546	C₂²	semidirect
68. C₃×D₄²	C₂²	semidirect
69. C₃×D₄²	C₂²	semidirect
70. C₃×D₄²	C₂²	semidirect
71. C₃×D₄²	C₂²	semidirect
72. C₃×D₄²	C₂²	semidirect
73. C₃×D₄²	C₂²	semidirect
74. C₃×D₄²	C₂²	semidirect
75. C₃×#542	C₂²	semidirect
76. C₃×#542	C₂²	semidirect
77. C₃×#542	C₂²	semidirect
78. C₃×#541	C₂²	semidirect
79. C₃×#540	C₂²	semidirect
80. C₃×#540	C₂²	semidirect
81. C₃×#540	C₂²	semidirect
82. C₃×#540	C₂²	semidirect
83. C₃×#540	C₂²	semidirect
84. C₃×#540	C₂²	semidirect
85. C₃×#540	C₂²	semidirect
86. C₃×#540	C₂²	semidirect
87. C₃×#540	C₂²	semidirect
88. C₃×#539	C₂²	semidirect
89. C₃×#539	C₂²	semidirect
90. C₃×#539	C₂²	semidirect
91. C₃×#539	C₂²	semidirect
92. C₃×#539	C₂²	semidirect
93. C₃×#539	C₂²	semidirect
94. C₃×#539	C₂²	semidirect
95. C₃×#538	C₂²	semidirect
96. C₃×#538	C₂²	semidirect
97. C₃×#538	C₂²	semidirect
98. C₃×#538	C₂²	semidirect
99. C₃×#538	C₂²	semidirect
100. C₃×#538	C₂²	semidirect
101. C₃×#538	C₂²	semidirect
102. C₃×#538	C₂²	semidirect
103. C₃×#538	C₂²	semidirect
104. C₃×#537	C₂²	semidirect
105. C₃×#537	C₂²	semidirect
106. C₃×#537	C₂²	semidirect
107. C₃×#535	C₂²	semidirect
108. C₃×#535	C₂²	semidirect
109. C₃×#535	C₂²	semidirect
110. C₃×#535	C₂²	semidirect
111. C₃×#535	C₂²	semidirect
112. C₃×#534	C₂²	semidirect
113. C₃×#534	C₂²	semidirect
114. C₃×#534	C₂²	semidirect
115. C₃×#534	C₂²	semidirect
116. C₃×#534	C₂²	semidirect
117. C₃×#534	C₂²	semidirect
118. C₃×#534	C₂²	semidirect
119. C₃×#532	C₂²	semidirect
120. C₂×C₃×#127	C₂²	semidirect
121. C₃×#529	C₂²	semidirect
122. C₃×#529	C₂²	semidirect
123. C₃×#529	C₂²	semidirect
124. C₂×C₃×#126	C₂²	semidirect
125. C₃×#525	C₂²	semidirect
126. C₃×#525	C₂²	semidirect
127. C₃×#525	C₂²	semidirect
128. C₃×#525	C₂²	semidirect
129. C₂×C₃×#123	C₂²	semidirect
130. C₂×C₃×#121	C₂²	semidirect
131. C₂×C₃×#121	C₂²	semidirect
132. #3567	C₂×C₃	semidirect
133. #3567	C₂×C₃	semidirect
134. #3566	C₂×C₃	semidirect
135. #3560	C₂×C₃	semidirect
136. #3546	C₂×C₃	semidirect
137. #3543	C₂×C₃	semidirect
138. #3542	C₂×C₃	semidirect
139. #3542	C₂×C₃	semidirect
140. #3539	C₂×C₃	semidirect
141. #3537	C₂×C₃	semidirect
142. #3534	C₂×C₃	semidirect
143. #3534	C₂×C₃	semidirect
144. #3533	C₂×C₃	semidirect
390. #564	C₂²×C₃	semidirect
391. #563	C₂²×C₃	semidirect
392. #562	C₂²×C₃	semidirect
393. #562	C₂²×C₃	semidirect
394. #562	C₂²×C₃	semidirect
395. #562	C₂²×C₃	semidirect
396. #562	C₂²×C₃	semidirect
397. #560	C₂²×C₃	semidirect
398. #560	C₂²×C₃	semidirect
399. #560	C₂²×C₃	semidirect
400. #560	C₂²×C₃	semidirect
401. #560	C₂²×C₃	semidirect
402. #560	C₂²×C₃	semidirect
403. #560	C₂²×C₃	semidirect
404. #560	C₂²×C₃	semidirect
405. #560	C₂²×C₃	semidirect
406. #559	C₂²×C₃	semidirect
407. #556	C₂²×C₃	semidirect
408. #555	C₂²×C₃	semidirect
409. #553	C₂²×C₃	semidirect
410. #553	C₂²×C₃	semidirect
411. #553	C₂²×C₃	semidirect
412. #553	C₂²×C₃	semidirect
413. #553	C₂²×C₃	semidirect
414. #553	C₂²×C₃	semidirect
415. #553	C₂²×C₃	semidirect
416. #553	C₂²×C₃	semidirect
417. #553	C₂²×C₃	semidirect
418. #552	C₂²×C₃	semidirect
419. #552	C₂²×C₃	semidirect
420. #552	C₂²×C₃	semidirect
421. #552	C₂²×C₃	semidirect
422. #551	C₂²×C₃	semidirect
423. #551	C₂²×C₃	semidirect
424. #551	C₂²×C₃	semidirect
425. #551	C₂²×C₃	semidirect
426. #551	C₂²×C₃	semidirect
427. #550	C₂²×C₃	semidirect
428. #550	C₂²×C₃	semidirect
429. #550	C₂²×C₃	semidirect
430. #547	C₂²×C₃	semidirect
431. #547	C₂²×C₃	semidirect
432. #547	C₂²×C₃	semidirect
433. #546	C₂²×C₃	semidirect
434. #546	C₂²×C₃	semidirect
435. #546	C₂²×C₃	semidirect
436. #546	C₂²×C₃	semidirect
437. #546	C₂²×C₃	semidirect
438. #546	C₂²×C₃	semidirect
439. #546	C₂²×C₃	semidirect
440. #546	C₂²×C₃	semidirect
441. #546	C₂²×C₃	semidirect
442. #546	C₂²×C₃	semidirect
443. D₄²	C₂²×C₃	semidirect
444. D₄²	C₂²×C₃	semidirect
445. D₄²	C₂²×C₃	semidirect
446. D₄²	C₂²×C₃	semidirect
447. D₄²	C₂²×C₃	semidirect
448. D₄²	C₂²×C₃	semidirect
449. D₄²	C₂²×C₃	semidirect
450. #542	C₂²×C₃	semidirect
451. #542	C₂²×C₃	semidirect
452. #542	C₂²×C₃	semidirect
453. #541	C₂²×C₃	semidirect
454. #540	C₂²×C₃	semidirect
455. #540	C₂²×C₃	semidirect
456. #540	C₂²×C₃	semidirect
457. #540	C₂²×C₃	semidirect
458. #540	C₂²×C₃	semidirect
459. #540	C₂²×C₃	semidirect
460. #540	C₂²×C₃	semidirect
461. #540	C₂²×C₃	semidirect
462. #540	C₂²×C₃	semidirect
463. #539	C₂²×C₃	semidirect
464. #539	C₂²×C₃	semidirect
465. #539	C₂²×C₃	semidirect
466. #539	C₂²×C₃	semidirect
467. #539	C₂²×C₃	semidirect
468. #539	C₂²×C₃	semidirect
469. #539	C₂²×C₃	semidirect
470. #538	C₂²×C₃	semidirect
471. #538	C₂²×C₃	semidirect
472. #538	C₂²×C₃	semidirect
473. #538	C₂²×C₃	semidirect
474. #538	C₂²×C₃	semidirect
475. #538	C₂²×C₃	semidirect
476. #538	C₂²×C₃	semidirect
477. #538	C₂²×C₃	semidirect
478. #538	C₂²×C₃	semidirect
479. #537	C₂²×C₃	semidirect
480. #537	C₂²×C₃	semidirect
481. #537	C₂²×C₃	semidirect
482. #535	C₂²×C₃	semidirect
483. #535	C₂²×C₃	semidirect
484. #535	C₂²×C₃	semidirect
485. #535	C₂²×C₃	semidirect
486. #535	C₂²×C₃	semidirect
487. #534	C₂²×C₃	semidirect
488. #534	C₂²×C₃	semidirect
489. #534	C₂²×C₃	semidirect
490. #534	C₂²×C₃	semidirect
491. #534	C₂²×C₃	semidirect
492. #534	C₂²×C₃	semidirect
493. #534	C₂²×C₃	semidirect
494. #532	C₂²×C₃	semidirect
495. C₂×#127	C₂²×C₃	semidirect
496. #529	C₂²×C₃	semidirect
497. #529	C₂²×C₃	semidirect
498. #529	C₂²×C₃	semidirect
499. C₂×#126	C₂²×C₃	semidirect
500. #525	C₂²×C₃	semidirect
501. #525	C₂²×C₃	semidirect
502. #525	C₂²×C₃	semidirect
503. #525	C₂²×C₃	semidirect
504. C₂×#123	C₂²×C₃	semidirect
505. C₂×#121	C₂²×C₃	semidirect
506. C₂×#121	C₂²×C₃	semidirect
1208. C₃	#62976	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×#3567	2
C₃×#3566	2
C₃×#3560	2
C₃×#3546	2
C₃×#3543	2
C₃×#3542	2
C₃×#3539	2
C₃×#3537	2
C₃×#3534	2
C₃×#3533	2
#62976	3

Subgroups — C3×#62976 #10681583

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62976 #10681583