Subgroups — C₃×#61786 #10680393

Order 768.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1138 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3546	C₂	1	1	yes	maximal, characteristic
2	C₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3356	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3353	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3351	C₂	1	2	yes	maximal, complemented
6	C₃×#3342	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3337	C₂	1	2	yes	maximal, complemented
8	C₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3323	C₂	1	2	yes	maximal, complemented
12	C₃×#3304	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3296	C₂	1	2	yes	maximal, complemented
14	C₃×#3295	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3228	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3201	C₂	1	2	yes	maximal, complemented
18	C₃×#3200	C₂	1	2	yes	maximal, complemented
19	C₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3099	C₂	1	2	yes	maximal, complemented
22	C₃×#3096	C₂	1	2	yes	maximal, complemented
23	C₃×#2979	C₂	1	1	yes	maximal, characteristic, complemented
24	#61786	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₃×#560	—	2	2	no	—
26	C₃×#559	—	2	1	no	—
27	C₃×#557	—	2	1	no	—
28	C₃×#556	—	2	2	no	—
29	C₃×#556	C₂²	1	1	yes	characteristic
30	C₃×#556	C₂²	1	1	yes	characteristic
31	C₃×#556	C₂²	1	1	yes	characteristic, complemented
32	C₃×#554	C₂²	1	1	yes	characteristic
33	C₃×#554	C₂²	1	1	yes	characteristic, complemented
34	C₃×#553	C₂²	1	2	yes	—
35	C₃×#552	C₂²	1	2	yes	complemented
36	C₃×#552	C₂²	1	2	yes	complemented
37	C₃×#550	—	2	1	no	—
38	C₃×#550	C₂²	1	1	yes	characteristic
39	C₃×#547	C₂²	1	1	yes	characteristic
40	C₃×#546	—	2	1	no	—
41	C₃×#546	C₂²	1	2	yes	—
42	C₃×D₄²	C₂²	1	1	yes	characteristic
43	C₃×#542	—	2	1	no	—
44	C₃×#539	—	2	2	no	—
45	C₃×#538	—	2	2	no	—
46	C₃×#537	C₂²	1	2	yes	—
47	C₃×#536	C₂²	1	2	yes	complemented
48	C₃×#535	—	2	1	no	—
49	C₃×#535	C₂²	1	2	yes	—
50	C₃×#533	C₂²	1	1	yes	characteristic, complemented
51	C₃×#532	C₂²	1	1	yes	characteristic
52	C₃×#532	C₂²	1	1	yes	characteristic
53	C₃×#529	—	2	1	no	—
54	C₃×#529	—	2	1	no	—
55	C₃×#529	C₂²	1	1	yes	characteristic
56	C₃×#520	C₂²	1	2	yes	complemented
57	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
58	C₃×#500	C₂²	1	1	yes	characteristic, complemented
59	C₃×#499	C₂²	1	2	yes	complemented
60	C₃×#498	C₂²	1	1	yes	characteristic, complemented
61	C₃×#488	C₂²	1	2	yes	—
62	C₃×#486	C₂²	1	1	yes	characteristic
63	C₃×#486	C₂²	1	1	yes	characteristic
64	C₃×#485	C₂²	1	2	yes	complemented
65	C₃×#485	C₂²	1	2	yes	complemented
66	C₃×#485	C₂²	1	2	yes	complemented
67	C₃×#485	C₂²	1	2	yes	complemented
68	C₃×#484	C₂²	1	2	yes	complemented
69	C₃×#483	C₂²	1	2	yes	complemented
70	C₃×#483	C₂²	1	2	yes	complemented
71	C₃×#483	C₂²	1	1	yes	characteristic, complemented
72	C₃×#482	C₂²	1	2	yes	—
73	C₃×#482	C₂²	1	2	yes	—
74	C₃×#482	C₂²	1	2	yes	—
75	C₃×#482	C₂²	1	2	yes	complemented
76	C₃×#482	C₂²	1	2	yes	complemented
77	C₃×#482	C₂²	1	2	yes	complemented
78	C₃×#481	C₂²	1	2	yes	—
79	C₃×#481	C₂²	1	2	yes	—
80	C₃×#481	C₂²	1	2	yes	complemented
81	C₃×#480	C₂²	1	1	yes	characteristic
82	C₃×#480	C₂²	1	2	yes	complemented
83	C₃×#479	C₂²	1	1	yes	characteristic, complemented
84	C₃×#479	C₂²	1	1	yes	characteristic, complemented
85	C₃×#478	C₂²	1	2	yes	complemented
86	C₃×#478	C₂²	1	2	yes	complemented
87	C₃×#477	C₂²	1	1	yes	characteristic, complemented
88	C₃×#476	C₂²	1	1	yes	characteristic
89	C₃×#475	C₂²	1	1	yes	characteristic, complemented
90	C₃×#475	C₂²	1	1	yes	characteristic, complemented
91	C₃×#475	C₂²	1	1	yes	characteristic, complemented
92	C₃×#474	C₂²	1	1	yes	characteristic
93	C₃×#470	C₂²	1	2	yes	complemented
94	C₃×#468	C₂²	1	2	yes	—
95	C₃×#468	C₂²	1	2	yes	—
96	C₃×#468	C₂²	1	2	yes	complemented
97	C₃×#467	C₂²	1	2	yes	complemented
98	C₃×#465	C₂²	1	2	yes	—
99	C₃×#465	C₂²	1	2	yes	—
100	C₃×#465	C₂²	1	2	yes	complemented
101	C₃×#464	C₂²	1	1	yes	characteristic
102	C₃×#464	C₂²	1	1	yes	characteristic
103	C₃×#460	C₂²	1	1	yes	characteristic
104	C₃×#460	C₂²	1	1	yes	characteristic
105	C₃×#452	C₂²	1	2	yes	complemented
106	C₃×#452	C₂²	1	2	yes	complemented
107	C₃×#451	C₂²	1	1	yes	characteristic, complemented
108	C₃×#450	C₂²	1	2	yes	—
109	C₃×#450	C₂²	1	2	yes	—
110	C₃×#448	C₂²	1	1	yes	characteristic
111	C₃×#448	C₂²	1	2	yes	complemented
112	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
113	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
114	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
115	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
116	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
117	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
118	C₃×#436	C₂²	1	1	yes	characteristic
119	C₃×#436	C₂²	1	2	yes	complemented
120	C₃×#436	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
122	C₃×C₈×D₄	C₂²	1	2	yes	complemented
123	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
124	C₃×#431	C₂²	1	1	yes	characteristic, complemented
125	C₃×#431	C₂²	1	1	yes	characteristic, complemented
126	C₃×#428	C₂²	1	2	yes	complemented
127	C₃×#428	C₂²	1	2	yes	complemented
128	C₃×#427	C₂²	1	2	yes	complemented
129	C₂×C₃×#106	C₂²	1	2	yes	complemented
130	C₃×#418	C₂²	1	2	yes	—
131	C₃×#417	C₂²	1	2	yes	complemented
132	C₃×#416	C₂²	1	2	yes	complemented
133	C₂×C₃×#102	C₂²	1	2	yes	—
134	C₃×#408	C₂²	1	2	yes	complemented
135	C₃×#408	C₂²	1	2	yes	complemented
136	#3546	C₂×C₃	1	1	yes	characteristic
137	#3507	C₂×C₃	1	1	yes	characteristic, complemented
138	#3356	C₂×C₃	1	1	yes	characteristic, complemented
139	#3353	C₂×C₃	1	1	yes	characteristic, complemented
140	#3351	C₂×C₃	1	2	yes	complemented
141	#3342	C₂×C₃	1	1	yes	characteristic, complemented
142	#3337	C₂×C₃	1	2	yes	complemented
143	#3335	C₂×C₃	1	1	yes	characteristic, complemented
144	#3333	C₂×C₃	1	1	yes	characteristic, complemented
145	#3324	C₂×C₃	1	1	yes	characteristic, complemented
146	#3323	C₂×C₃	1	2	yes	complemented
147	#3304	C₂×C₃	1	1	yes	characteristic, complemented
148	#3296	C₂×C₃	1	2	yes	complemented
149	#3295	C₂×C₃	1	1	yes	characteristic, complemented
150	#3233	C₂×C₃	1	1	yes	characteristic, complemented
151	#3228	C₂×C₃	1	1	yes	characteristic, complemented
152	#3201	C₂×C₃	1	2	yes	complemented
153	#3200	C₂×C₃	1	2	yes	complemented
154	#3108	C₂×C₃	1	1	yes	characteristic, complemented
155	#3103	C₂×C₃	1	1	yes	characteristic, complemented
156	#3099	C₂×C₃	1	2	yes	complemented
157	#3096	C₂×C₃	1	2	yes	complemented
158	#2979	C₂×C₃	1	1	yes	characteristic, complemented
159	C₂×C₃×#41	—	2	1	no	—
160	C₂×C₃×#41	—	2	1	no	—
161	C₂×C₃×#41	C₂³	1	2	yes	—
162	C₂×C₃×#41	C₂³	1	2	yes	—
163	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
164	C₂²×C₃×D₄	—	2	1	no	—
165	C₂²×C₃×D₄	C₂³	1	2	yes	—
166	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
167	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
168	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
169	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
170	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
171	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
172	C₂×C₃×M₁₆	C₂³	1	2	yes	—
173	C₂×C₃×M₁₆	C₂³	1	2	yes	—
174	C₂²×C₃×C₈	C₂³	1	2	yes	—
175	C₂²×C₃×C₈	C₂³	1	2	yes	—
176	C₃×C₄⋊Q₈	—	2	2	no	—
177	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
178	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
179	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
180	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
181	C₃×#127	—	2	2	no	—
182	C₃×#127	—	2	1	no	—
183	C₃×#127	D₄	1	1	yes	characteristic
184	C₃×#127	C₂³	1	1	yes	characteristic
185	C₃×#126	—	2	2	no	—
186	C₃×#126	—	2	2	no	—
187	C₃×#126	—	2	2	no	—
188	C₃×#126	—	2	2	no	—
189	C₃×#126	—	2	2	no	—
190	C₃×#126	—	2	2	no	—
191	C₃×#126	—	2	1	no	—
192	C₃×#125	—	2	1	no	—
193	C₃×#125	—	2	1	no	—
194	C₃×#125	—	2	2	no	—
195	C₃×#125	—	2	2	no	—
196	C₃×#125	C₂³	1	1	yes	characteristic
197	C₃×#125	C₂³	1	2	yes	—
198	C₃×#124	—	2	2	no	—
199	C₃×#124	—	2	1	no	—
200	C₃×#124	—	2	1	no	—
201	C₃×#124	—	2	2	no	—
202	C₃×#124	—	2	1	no	—
203	C₃×#124	—	2	1	no	—
204	C₃×#124	D₄	1	2	yes	—
205	C₃×#124	C₂³	1	1	yes	characteristic
206	C₃×#123	—	2	2	no	—
207	C₃×#123	—	2	2	no	—
208	C₃×#123	—	2	2	no	—
209	C₃×#123	—	2	2	no	—
210	C₃×#123	—	2	1	no	—
211	C₃×#123	—	2	2	no	—
212	C₃×#123	—	2	2	no	—
213	C₃×#123	—	2	2	no	—
214	C₃×C₂²⋊Q₈	—	2	2	no	—
215	C₃×C₂²⋊Q₈	—	2	1	no	—
216	C₃×C₂²⋊Q₈	—	2	1	no	—
217	C₃×C₂²⋊Q₈	—	2	1	no	—
218	C₃×C₂²⋊Q₈	—	2	2	no	—
219	C₃×C₂²⋊Q₈	—	2	2	no	—
220	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₃×#121	—	2	2	no	—
227	C₃×#121	—	2	2	no	—
228	C₃×#121	—	2	2	no	—
229	C₃×#121	—	2	2	no	—
230	C₃×#121	—	2	1	no	—
231	C₃×#121	—	2	1	no	—
232	C₃×#121	—	2	2	no	—
233	C₃×#121	—	2	2	no	—
234	C₃×#121	D₄	1	2	yes	—
235	C₃×#121	D₄	1	1	yes	characteristic
236	C₃×#121	D₄	1	1	yes	characteristic
237	C₃×#121	C₂³	1	1	yes	characteristic
238	C₃×#121	C₂³	1	2	yes	—
239	C₃×#121	C₂³	1	2	yes	—
240	C₃×#121	C₂³	1	2	yes	—
241	C₃×#121	C₂³	1	2	yes	—
242	C₃×#120	—	2	2	no	—
243	C₃×#120	—	2	2	no	—
244	C₃×#120	—	2	2	no	—
245	C₃×#120	—	2	2	no	—
246	C₃×C₄×Q₈	—	2	2	no	—
247	C₃×C₄×Q₈	—	2	1	no	—
248	C₃×C₄×Q₈	—	2	1	no	—
249	C₃×C₄×Q₈	—	2	1	no	—
250	C₃×C₄×Q₈	—	2	1	no	—
251	C₃×C₄×Q₈	—	2	1	no	—
252	C₃×C₄×Q₈	—	2	1	no	—
253	C₃×C₄×Q₈	—	2	1	no	—
254	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
255	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
256	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
257	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
258	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
259	C₃×C₄×D₄	—	2	2	no	—
260	C₃×C₄×D₄	—	2	1	no	—
261	C₃×C₄×D₄	—	2	1	no	—
262	C₃×C₄×D₄	—	2	2	no	—
263	C₃×C₄×D₄	—	2	2	no	—
264	C₃×C₄×D₄	—	2	1	no	—
265	C₃×C₄×D₄	—	2	1	no	—
266	C₃×C₄×D₄	—	2	2	no	—
267	C₃×C₄×D₄	—	2	1	no	—
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₃×C₄×D₄	C₂³	1	2	yes	—
270	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
271	C₃×C₄×D₄	C₂³	1	2	yes	—
272	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
273	C₃×#117	—	2	2	no	—
274	C₃×#117	—	2	2	no	—
275	C₃×#117	—	2	1	no	—
276	C₃×#117	C₂³	1	2	yes	—
277	C₃×#117	C₂³	1	2	yes	—
278	C₃×#117	C₂³	1	2	yes	—
279	C₃×#117	C₂³	1	2	yes	—
280	C₂×C₃×C₄⋊C₄	—	2	1	no	—
281	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
282	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
283	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
284	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
286	C₂×C₃×C₄²	—	2	1	no	—
287	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
288	C₃×#107	C₂³	1	1	yes	characteristic
289	C₃×#107	C₂³	1	2	yes	—
290	C₃×#107	C₂³	1	1	yes	characteristic
291	C₃×#107	C₂³	1	2	yes	—
292	C₃×#107	C₂³	1	2	yes	—
293	C₃×#107	C₂³	1	2	yes	—
294	C₃×#106	C₂³	1	1	yes	characteristic
295	C₃×#106	C₂³	1	2	yes	—
296	C₃×#106	C₂³	1	2	yes	—
297	C₃×#106	C₂³	1	2	yes	—
298	C₃×#106	C₂³	1	2	yes	—
299	C₃×#106	C₂³	1	1	yes	characteristic
300	C₃×#106	C₂³	1	2	yes	—
301	C₃×#106	C₂³	1	2	yes	—
302	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
305	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
306	C₃×#103	C₂³	1	1	yes	characteristic
307	C₃×#103	C₂³	1	2	yes	—
308	C₃×#103	C₂³	1	1	yes	characteristic
309	C₃×#103	C₂³	1	2	yes	—
310	C₃×#103	C₂³	1	1	yes	characteristic
311	C₃×#103	C₂³	1	1	yes	characteristic
312	C₃×#103	C₂³	1	2	yes	—
313	C₃×#103	C₂³	1	2	yes	—
314	C₃×#103	C₂³	1	1	yes	characteristic
315	C₃×#103	C₂³	1	1	yes	characteristic
316	C₃×#102	C₂³	1	1	yes	characteristic
317	C₃×#102	C₂³	1	2	yes	—
318	C₃×#102	C₂³	1	2	yes	—
319	C₃×#102	C₂³	1	2	yes	—
320	C₃×#102	C₂³	1	2	yes	—
321	C₃×#102	C₂³	1	2	yes	—
322	C₃×#102	C₂³	1	2	yes	—
323	C₃×#102	C₂³	1	1	yes	characteristic
324	C₃×#102	C₂³	1	2	yes	—
325	C₃×#102	C₂³	1	2	yes	—
326	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
328	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
329	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
330	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
331	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
332	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
333	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
334	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
335	C₃×C₄×C₈	C₂³	1	2	yes	—
336	#560	—	2	2	no	—
337	#559	—	2	1	no	—
338	#557	—	2	1	no	—
339	#556	—	2	2	no	—
340	#556	C₂²×C₃	1	1	yes	characteristic
341	#556	C₂²×C₃	1	1	yes	characteristic
342	#556	C₂²×C₃	1	1	yes	characteristic, complemented
343	#554	C₂²×C₃	1	1	yes	characteristic
344	#554	C₂²×C₃	1	1	yes	characteristic, complemented
345	#553	C₂²×C₃	1	2	yes	—
346	#552	C₂²×C₃	1	2	yes	complemented
347	#552	C₂²×C₃	1	2	yes	complemented
348	#550	—	2	1	no	—
349	#550	C₂²×C₃	1	1	yes	characteristic
350	#547	C₂²×C₃	1	1	yes	characteristic
351	#546	—	2	1	no	—
352	#546	C₂²×C₃	1	2	yes	—
353	D₄²	C₂²×C₃	1	1	yes	characteristic
354	#542	—	2	1	no	—
355	#539	—	2	2	no	—
356	#538	—	2	2	no	—
357	#537	C₂²×C₃	1	2	yes	—
358	#536	C₂²×C₃	1	2	yes	complemented
359	#535	—	2	1	no	—
360	#535	C₂²×C₃	1	2	yes	—
361	#533	C₂²×C₃	1	1	yes	characteristic, complemented
362	#532	C₂²×C₃	1	1	yes	characteristic
363	#532	C₂²×C₃	1	1	yes	characteristic
364	#529	—	2	1	no	—
365	#529	—	2	1	no	—
366	#529	C₂²×C₃	1	1	yes	characteristic
367	#520	C₂²×C₃	1	2	yes	complemented
368	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
369	#500	C₂²×C₃	1	1	yes	characteristic, complemented
370	#499	C₂²×C₃	1	2	yes	complemented
371	#498	C₂²×C₃	1	1	yes	characteristic, complemented
372	#488	C₂²×C₃	1	2	yes	—
373	#486	C₂²×C₃	1	1	yes	characteristic
374	#486	C₂²×C₃	1	1	yes	characteristic
375	#485	C₂²×C₃	1	2	yes	complemented
376	#485	C₂²×C₃	1	2	yes	complemented
377	#485	C₂²×C₃	1	2	yes	complemented
378	#485	C₂²×C₃	1	2	yes	complemented
379	#484	C₂²×C₃	1	2	yes	complemented
380	#483	C₂²×C₃	1	2	yes	complemented
381	#483	C₂²×C₃	1	1	yes	characteristic, complemented
382	#483	C₂²×C₃	1	2	yes	complemented
383	#482	C₂²×C₃	1	2	yes	—
384	#482	C₂²×C₃	1	2	yes	—
385	#482	C₂²×C₃	1	2	yes	—
386	#482	C₂²×C₃	1	2	yes	complemented
387	#482	C₂²×C₃	1	2	yes	complemented
388	#482	C₂²×C₃	1	2	yes	complemented
389	#481	C₂²×C₃	1	2	yes	—
390	#481	C₂²×C₃	1	2	yes	—
391	#481	C₂²×C₃	1	2	yes	complemented
392	#480	C₂²×C₃	1	1	yes	characteristic
393	#480	C₂²×C₃	1	2	yes	complemented
394	#479	C₂²×C₃	1	1	yes	characteristic, complemented
395	#479	C₂²×C₃	1	1	yes	characteristic, complemented
396	#478	C₂²×C₃	1	2	yes	complemented
397	#478	C₂²×C₃	1	2	yes	complemented
398	#477	C₂²×C₃	1	1	yes	characteristic, complemented
399	#476	C₂²×C₃	1	1	yes	characteristic
400	#475	C₂²×C₃	1	1	yes	characteristic, complemented
401	#475	C₂²×C₃	1	1	yes	characteristic, complemented
402	#475	C₂²×C₃	1	1	yes	characteristic, complemented
403	#474	C₂²×C₃	1	1	yes	characteristic
404	#470	C₂²×C₃	1	2	yes	complemented
405	#468	C₂²×C₃	1	2	yes	—
406	#468	C₂²×C₃	1	2	yes	—
407	#468	C₂²×C₃	1	2	yes	complemented
408	#467	C₂²×C₃	1	2	yes	complemented
409	#465	C₂²×C₃	1	2	yes	—
410	#465	C₂²×C₃	1	2	yes	—
411	#465	C₂²×C₃	1	2	yes	complemented
412	#464	C₂²×C₃	1	1	yes	characteristic
413	#464	C₂²×C₃	1	1	yes	characteristic
414	#460	C₂²×C₃	1	1	yes	characteristic
415	#460	C₂²×C₃	1	1	yes	characteristic
416	#452	C₂²×C₃	1	2	yes	complemented
417	#452	C₂²×C₃	1	2	yes	complemented
418	#451	C₂²×C₃	1	1	yes	characteristic, complemented
419	#450	C₂²×C₃	1	2	yes	—
420	#450	C₂²×C₃	1	2	yes	—
421	#448	C₂²×C₃	1	1	yes	characteristic
422	#448	C₂²×C₃	1	2	yes	complemented
423	C₄×Q₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₄×Q₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
425	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
426	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
427	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
428	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
429	#436	C₂²×C₃	1	1	yes	characteristic
430	#436	C₂²×C₃	1	1	yes	characteristic, complemented
431	#436	C₂²×C₃	1	2	yes	complemented
432	C₈×D₄	C₂²×C₃	1	1	yes	characteristic
433	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
434	C₈×D₄	C₂²×C₃	1	2	yes	complemented
435	#431	C₂²×C₃	1	1	yes	characteristic, complemented
436	#431	C₂²×C₃	1	1	yes	characteristic, complemented
437	#428	C₂²×C₃	1	2	yes	complemented
438	#428	C₂²×C₃	1	2	yes	complemented
439	#427	C₂²×C₃	1	2	yes	complemented
440	C₂×#106	C₂²×C₃	1	2	yes	complemented
441	#418	C₂²×C₃	1	2	yes	—
442	#417	C₂²×C₃	1	2	yes	complemented
443	#416	C₂²×C₃	1	2	yes	complemented
444	C₂×#102	C₂²×C₃	1	2	yes	—
445	#408	C₂²×C₃	1	2	yes	complemented
446	#408	C₂²×C₃	1	2	yes	complemented
447	C₂⁴×C₃	—	2	2	no	—
448	C₃×#41	—	4	2	no	—
449	C₃×#41	—	4	2	no	—
450	C₃×#41	—	4	2	no	—
451	C₃×#41	—	4	2	no	—
452	C₃×#41	—	8	2	no	—
453	C₃×#41	—	8	2	no	—
454	C₂×C₃×Q₈	—	2	1	no	—
455	C₂×C₃×Q₈	—	2	1	no	—
456	C₂×C₃×Q₈	—	2	1	no	—
457	C₂×C₃×Q₈	—	2	1	no	—
458	C₂×C₃×Q₈	—	4	1	no	—
459	C₂×C₃×Q₈	—	4	1	no	—
460	C₂×C₃×Q₈	C₂×D₄	1	2	yes	—
461	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
462	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
463	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
464	C₂×C₃×D₄	—	2	1	no	—
465	C₂×C₃×D₄	—	2	2	no	—
466	C₂×C₃×D₄	—	2	2	no	—
467	C₂×C₃×D₄	—	2	2	no	—
468	C₂×C₃×D₄	—	2	2	no	—
469	C₂×C₃×D₄	—	2	2	no	—
470	C₂×C₃×D₄	—	2	1	no	—
471	C₂×C₃×D₄	—	2	1	no	—
472	C₂×C₃×D₄	—	2	2	no	—
473	C₂×C₃×D₄	—	4	2	no	—
474	C₂×C₃×D₄	—	4	2	no	—
475	C₂×C₃×D₄	—	8	2	no	—
476	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
477	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
478	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
479	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
480	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
481	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
482	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
483	C₂×C₃×D₄	C₂⁴	1	2	yes	—
484	C₂²×C₃×C₄	—	2	1	no	—
485	C₂²×C₃×C₄	—	2	1	no	—
486	C₂²×C₃×C₄	—	2	2	no	—
487	C₂²×C₃×C₄	—	2	2	no	—
488	C₂²×C₃×C₄	—	2	2	no	—
489	C₂²×C₃×C₄	—	2	1	no	—
490	C₂²×C₃×C₄	—	2	2	no	—
491	C₂²×C₃×C₄	—	2	2	no	—
492	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
493	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
494	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
495	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
496	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
497	C₃×Q₁₆	—	4	1	no	—
498	C₃×Q₁₆	—	4	1	no	—
499	C₃×SD₁₆	—	4	1	no	—
500	C₃×SD₁₆	—	4	2	no	—
501	C₃×SD₁₆	—	4	1	no	—
502	C₃×SD₁₆	—	4	2	no	—
503	C₃×M₁₆	—	4	2	no	—
504	C₃×M₁₆	—	4	2	no	—
505	C₂×C₃×C₈	—	4	2	no	—
506	C₂×C₃×C₈	—	4	2	no	—
507	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
508	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
509	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
510	C₂×C₃×C₈	C₂⁴	1	2	yes	—
511	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
512	C₂×C₃×C₈	C₂⁴	1	2	yes	—
513	C₃×C₄⋊C₄	—	2	1	no	—
514	C₃×C₄⋊C₄	—	2	1	no	—
515	C₃×C₄⋊C₄	—	2	1	no	—
516	C₃×C₄⋊C₄	—	2	1	no	—
517	C₃×C₄⋊C₄	—	2	1	no	—
518	C₃×C₄⋊C₄	—	2	2	no	—
519	C₃×C₄⋊C₄	—	2	2	no	—
520	C₃×C₄⋊C₄	—	2	2	no	—
521	C₃×C₄⋊C₄	—	2	2	no	—
522	C₃×C₄⋊C₄	—	2	1	no	—
523	C₃×C₄⋊C₄	—	2	1	no	—
524	C₃×C₄⋊C₄	—	2	2	no	—
525	C₃×C₄⋊C₄	—	2	2	no	—
526	C₃×C₄⋊C₄	—	2	1	no	—
527	C₃×C₄⋊C₄	—	2	1	no	—
528	C₃×C₄⋊C₄	—	2	1	no	—
529	C₃×C₄⋊C₄	—	2	2	no	—
530	C₃×C₄⋊C₄	—	2	2	no	—
531	C₃×C₄⋊C₄	—	2	1	no	—
532	C₃×C₄⋊C₄	—	2	2	no	—
533	C₃×C₄⋊C₄	—	2	2	no	—
534	C₃×C₄⋊C₄	—	2	1	no	—
535	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
536	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
537	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
538	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
539	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
540	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
541	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
542	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
543	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
544	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
545	C₃×C₂²⋊C₄	—	2	2	no	—
546	C₃×C₂²⋊C₄	—	2	2	no	—
547	C₃×C₂²⋊C₄	—	2	2	no	—
548	C₃×C₂²⋊C₄	—	2	2	no	—
549	C₃×C₂²⋊C₄	—	2	2	no	—
550	C₃×C₂²⋊C₄	—	2	2	no	—
551	C₃×C₂²⋊C₄	—	2	2	no	—
552	C₃×C₂²⋊C₄	—	2	1	no	—
553	C₃×C₂²⋊C₄	—	2	2	no	—
554	C₃×C₂²⋊C₄	—	2	2	no	—
555	C₃×C₂²⋊C₄	—	2	1	no	—
556	C₃×C₂²⋊C₄	—	2	2	no	—
557	C₃×C₂²⋊C₄	—	2	1	no	—
558	C₃×C₂²⋊C₄	—	2	1	no	—
559	C₃×C₂²⋊C₄	—	2	2	no	—
560	C₃×C₂²⋊C₄	—	2	2	no	—
561	C₃×C₂²⋊C₄	—	2	2	no	—
562	C₃×C₂²⋊C₄	—	2	1	no	—
563	C₃×C₂²⋊C₄	—	2	2	no	—
564	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
565	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
566	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
567	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
568	C₃×C₄²	—	2	1	no	—
569	C₃×C₄²	—	2	1	no	—
570	C₃×C₄²	—	2	1	no	—
571	C₃×C₄²	—	2	1	no	—
572	C₃×C₄²	—	2	2	no	—
573	C₃×C₄²	—	2	2	no	—
574	C₃×C₄²	—	2	1	no	—
575	C₃×C₄²	—	2	2	no	—
576	C₃×C₄²	—	2	2	no	—
577	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
578	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
579	C₃×C₄²	C₂⁴	1	1	yes	characteristic
580	C₃×C₄²	C₂⁴	1	1	yes	characteristic
581	C₂×#41	—	2	1	no	—
582	C₂×#41	—	2	1	no	—
583	C₂×#41	C₂³×C₃	1	2	yes	—
584	C₂×#41	C₂³×C₃	1	2	yes	—
585	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
586	C₂²×D₄	—	2	1	no	—
587	C₂²×D₄	C₂³×C₃	1	2	yes	—
588	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
589	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
590	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
591	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
592	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
593	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
594	C₂×M₁₆	C₂³×C₃	1	2	yes	—
595	C₂×M₁₆	C₂³×C₃	1	2	yes	—
596	C₂²×C₈	C₂³×C₃	1	2	yes	—
597	C₂²×C₈	C₂³×C₃	1	2	yes	—
598	C₄⋊Q₈	—	2	2	no	—
599	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
600	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
601	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
602	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
603	#127	—	2	1	no	—
604	#127	—	2	2	no	—
605	#127	C₃×D₄	1	1	yes	characteristic
606	#127	C₂³×C₃	1	1	yes	characteristic
607	#126	—	2	2	no	—
608	#126	—	2	2	no	—
609	#126	—	2	2	no	—
610	#126	—	2	2	no	—
611	#126	—	2	2	no	—
612	#126	—	2	2	no	—
613	#126	—	2	1	no	—
614	#125	—	2	1	no	—
615	#125	—	2	1	no	—
616	#125	—	2	2	no	—
617	#125	—	2	2	no	—
618	#125	C₂³×C₃	1	1	yes	characteristic
619	#125	C₂³×C₃	1	2	yes	—
620	#124	—	2	2	no	—
621	#124	—	2	1	no	—
622	#124	—	2	1	no	—
623	#124	—	2	1	no	—
624	#124	—	2	2	no	—
625	#124	—	2	1	no	—
626	#124	C₃×D₄	1	2	yes	—
627	#124	C₂³×C₃	1	1	yes	characteristic
628	#123	—	2	2	no	—
629	#123	—	2	2	no	—
630	#123	—	2	2	no	—
631	#123	—	2	2	no	—
632	#123	—	2	1	no	—
633	#123	—	2	2	no	—
634	#123	—	2	2	no	—
635	#123	—	2	2	no	—
636	C₂²⋊Q₈	—	2	2	no	—
637	C₂²⋊Q₈	—	2	1	no	—
638	C₂²⋊Q₈	—	2	1	no	—
639	C₂²⋊Q₈	—	2	1	no	—
640	C₂²⋊Q₈	—	2	2	no	—
641	C₂²⋊Q₈	—	2	2	no	—
642	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
643	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
644	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
645	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
646	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
647	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
648	#121	—	2	2	no	—
649	#121	—	2	2	no	—
650	#121	—	2	2	no	—
651	#121	—	2	2	no	—
652	#121	—	2	1	no	—
653	#121	—	2	1	no	—
654	#121	—	2	2	no	—
655	#121	—	2	2	no	—
656	#121	C₃×D₄	1	1	yes	characteristic
657	#121	C₃×D₄	1	1	yes	characteristic
658	#121	C₃×D₄	1	2	yes	—
659	#121	C₂³×C₃	1	1	yes	characteristic
660	#121	C₂³×C₃	1	2	yes	—
661	#121	C₂³×C₃	1	2	yes	—
662	#121	C₂³×C₃	1	2	yes	—
663	#121	C₂³×C₃	1	2	yes	—
664	#120	—	2	2	no	—
665	#120	—	2	2	no	—
666	#120	—	2	2	no	—
667	#120	—	2	2	no	—
668	C₄×Q₈	—	2	2	no	—
669	C₄×Q₈	—	2	1	no	—
670	C₄×Q₈	—	2	1	no	—
671	C₄×Q₈	—	2	1	no	—
672	C₄×Q₈	—	2	1	no	—
673	C₄×Q₈	—	2	1	no	—
674	C₄×Q₈	—	2	1	no	—
675	C₄×Q₈	—	2	1	no	—
676	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
677	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
678	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
679	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
680	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
681	C₄×D₄	—	2	2	no	—
682	C₄×D₄	—	2	2	no	—
683	C₄×D₄	—	2	2	no	—
684	C₄×D₄	—	2	1	no	—
685	C₄×D₄	—	2	1	no	—
686	C₄×D₄	—	2	1	no	—
687	C₄×D₄	—	2	1	no	—
688	C₄×D₄	—	2	2	no	—
689	C₄×D₄	—	2	1	no	—
690	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
691	C₄×D₄	C₂³×C₃	1	2	yes	—
692	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
693	C₄×D₄	C₂³×C₃	1	2	yes	—
694	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
695	#117	—	2	2	no	—
696	#117	—	2	2	no	—
697	#117	—	2	1	no	—
698	#117	C₂³×C₃	1	2	yes	—
699	#117	C₂³×C₃	1	2	yes	—
700	#117	C₂³×C₃	1	2	yes	—
701	#117	C₂³×C₃	1	2	yes	—
702	C₂×C₄⋊C₄	—	2	1	no	—
703	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
705	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
707	C₂×C₂²⋊C₄	—	2	2	no	—
708	C₂×C₄²	—	2	1	no	—
709	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
710	#107	C₂³×C₃	1	1	yes	characteristic
711	#107	C₂³×C₃	1	2	yes	—
712	#107	C₂³×C₃	1	1	yes	characteristic
713	#107	C₂³×C₃	1	2	yes	—
714	#107	C₂³×C₃	1	2	yes	—
715	#107	C₂³×C₃	1	2	yes	—
716	#106	C₂³×C₃	1	1	yes	characteristic
717	#106	C₂³×C₃	1	2	yes	—
718	#106	C₂³×C₃	1	2	yes	—
719	#106	C₂³×C₃	1	2	yes	—
720	#106	C₂³×C₃	1	2	yes	—
721	#106	C₂³×C₃	1	1	yes	characteristic
722	#106	C₂³×C₃	1	2	yes	—
723	#106	C₂³×C₃	1	2	yes	—
724	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
725	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
726	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
727	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
728	#103	C₂³×C₃	1	1	yes	characteristic
729	#103	C₂³×C₃	1	2	yes	—
730	#103	C₂³×C₃	1	1	yes	characteristic
731	#103	C₂³×C₃	1	2	yes	—
732	#103	C₂³×C₃	1	1	yes	characteristic
733	#103	C₂³×C₃	1	1	yes	characteristic
734	#103	C₂³×C₃	1	2	yes	—
735	#103	C₂³×C₃	1	2	yes	—
736	#103	C₂³×C₃	1	1	yes	characteristic
737	#103	C₂³×C₃	1	1	yes	characteristic
738	#102	C₂³×C₃	1	1	yes	characteristic
739	#102	C₂³×C₃	1	2	yes	—
740	#102	C₂³×C₃	1	2	yes	—
741	#102	C₂³×C₃	1	2	yes	—
742	#102	C₂³×C₃	1	2	yes	—
743	#102	C₂³×C₃	1	2	yes	—
744	#102	C₂³×C₃	1	2	yes	—
745	#102	C₂³×C₃	1	1	yes	characteristic
746	#102	C₂³×C₃	1	2	yes	—
747	#102	C₂³×C₃	1	2	yes	—
748	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
749	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
750	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
751	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
752	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
753	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
754	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
755	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
756	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
757	C₄×C₈	C₂³×C₃	1	2	yes	—
758	C₂³×C₃	—	2	1	no	—
759	C₂³×C₃	—	2	2	no	—
760	C₂³×C₃	—	8	2	no	—
761	C₂³×C₃	—	8	2	no	—
762	C₂³×C₃	—	8	2	no	—
763	C₂³×C₃	C₂²×D₄	1	2	yes	—
764	C₂³×C₃	C₂²×D₄	1	2	yes	—
765	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
766	C₃×Q₈	—	2	1	no	—
767	C₃×Q₈	—	2	1	no	—
768	C₃×Q₈	—	2	1	no	—
769	C₃×Q₈	—	2	1	no	—
770	C₃×Q₈	—	2	1	no	—
771	C₃×Q₈	—	2	1	no	—
772	C₃×Q₈	—	4	2	no	—
773	C₃×Q₈	—	4	2	no	—
774	C₃×Q₈	—	4	2	no	—
775	C₃×Q₈	—	4	2	no	—
776	C₃×Q₈	—	8	1	no	—
777	C₃×D₄	—	2	2	no	—
778	C₃×D₄	—	2	2	no	—
779	C₃×D₄	—	2	1	no	—
780	C₃×D₄	—	2	1	no	—
781	C₃×D₄	—	2	2	no	—
782	C₃×D₄	—	2	2	no	—
783	C₃×D₄	—	4	2	no	—
784	C₃×D₄	—	4	2	no	—
785	C₃×D₄	—	4	2	no	—
786	C₃×D₄	—	4	2	no	—
787	C₃×D₄	—	4	2	no	—
788	C₃×D₄	—	8	1	no	—
789	C₃×D₄	—	8	2	no	—
790	C₃×D₄	—	8	1	no	—
791	C₃×D₄	—	8	2	no	—
792	C₃×D₄	—	8	2	no	—
793	C₃×D₄	—	8	2	no	—
794	C₃×D₄	—	8	2	no	—
795	C₃×D₄	—	8	2	no	—
796	C₂×C₃×C₄	—	2	2	no	—
797	C₂×C₃×C₄	—	2	2	no	—
798	C₂×C₃×C₄	—	2	2	no	—
799	C₂×C₃×C₄	—	2	2	no	—
800	C₂×C₃×C₄	—	2	2	no	—
801	C₂×C₃×C₄	—	2	1	no	—
802	C₂×C₃×C₄	—	2	1	no	—
803	C₂×C₃×C₄	—	2	1	no	—
804	C₂×C₃×C₄	—	2	1	no	—
805	C₂×C₃×C₄	—	2	2	no	—
806	C₂×C₃×C₄	—	2	1	no	—
807	C₂×C₃×C₄	—	2	1	no	—
808	C₂×C₃×C₄	—	2	1	no	—
809	C₂×C₃×C₄	—	2	1	no	—
810	C₂×C₃×C₄	—	2	2	no	—
811	C₂×C₃×C₄	—	2	2	no	—
812	C₂×C₃×C₄	—	2	1	no	—
813	C₂×C₃×C₄	—	4	1	no	—
814	C₂×C₃×C₄	—	4	2	no	—
815	C₂×C₃×C₄	—	4	2	no	—
816	C₂×C₃×C₄	—	8	2	no	—
817	C₂×C₃×C₄	—	8	2	no	—
818	C₂×C₃×C₄	—	8	1	no	—
819	C₂×C₃×C₄	—	8	2	no	—
820	C₂×C₃×C₄	—	8	2	no	—
821	C₂×C₃×C₄	—	8	2	no	—
822	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
825	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
826	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
830	C₃×C₈	—	2	1	no	—
831	C₃×C₈	—	2	2	no	—
832	C₃×C₈	—	2	1	no	—
833	C₃×C₈	—	2	1	no	—
834	C₃×C₈	—	2	2	no	—
835	C₃×C₈	—	2	1	no	—
836	C₂⁴	—	2	2	no	—
837	#41	—	4	2	no	—
838	#41	—	4	2	no	—
839	#41	—	4	2	no	—
840	#41	—	4	2	no	—
841	#41	—	8	2	no	—
842	#41	—	8	2	no	—
843	C₂×Q₈	—	2	1	no	—
844	C₂×Q₈	—	2	1	no	—
845	C₂×Q₈	—	2	1	no	—
846	C₂×Q₈	—	2	1	no	—
847	C₂×Q₈	—	4	1	no	—
848	C₂×Q₈	—	4	1	no	—
849	C₂×Q₈	C₂×C₃×D₄	1	2	yes	—
850	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
851	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
852	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
853	C₂×D₄	—	2	1	no	—
854	C₂×D₄	—	2	2	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	1	no	—
860	C₂×D₄	—	2	1	no	—
861	C₂×D₄	—	2	2	no	—
862	C₂×D₄	—	4	2	no	—
863	C₂×D₄	—	4	2	no	—
864	C₂×D₄	—	8	2	no	—
865	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
866	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
867	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
868	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
869	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
870	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
871	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
872	C₂×D₄	C₂⁴×C₃	1	2	yes	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
882	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
883	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
884	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
885	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
886	Q₁₆	—	4	1	no	—
887	Q₁₆	—	4	1	no	—
888	SD₁₆	—	4	1	no	—
889	SD₁₆	—	4	2	no	—
890	SD₁₆	—	4	1	no	—
891	SD₁₆	—	4	2	no	—
892	M₁₆	—	4	2	no	—
893	M₁₆	—	4	2	no	—
894	C₂×C₈	—	4	2	no	—
895	C₂×C₈	—	4	2	no	—
896	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
897	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
898	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
899	C₂×C₈	C₂⁴×C₃	1	2	yes	—
900	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
901	C₂×C₈	C₂⁴×C₃	1	2	yes	—
902	C₄⋊C₄	—	2	1	no	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	1	no	—
912	C₄⋊C₄	—	2	1	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
925	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
926	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
927	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
928	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
929	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
930	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
931	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
932	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
933	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	1	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	1	no	—
945	C₂²⋊C₄	—	2	2	no	—
946	C₂²⋊C₄	—	2	1	no	—
947	C₂²⋊C₄	—	2	1	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	1	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
954	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
955	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
956	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
957	C₄²	—	2	1	no	—
958	C₄²	—	2	1	no	—
959	C₄²	—	2	1	no	—
960	C₄²	—	2	1	no	—
961	C₄²	—	2	2	no	—
962	C₄²	—	2	2	no	—
963	C₄²	—	2	1	no	—
964	C₄²	—	2	2	no	—
965	C₄²	—	2	2	no	—
966	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
967	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
968	C₄²	C₂⁴×C₃	1	1	yes	characteristic
969	C₄²	C₂⁴×C₃	1	1	yes	characteristic
970	C₂²×C₃	—	2	1	no	—
971	C₂²×C₃	—	2	2	no	—
972	C₂²×C₃	—	2	2	no	—
973	C₂²×C₃	—	2	1	no	—
974	C₂²×C₃	—	2	2	no	—
975	C₂²×C₃	—	2	2	no	—
976	C₂²×C₃	—	2	1	no	—
977	C₂²×C₃	—	2	2	no	—
978	C₂²×C₃	—	2	2	no	—
979	C₂²×C₃	—	4	2	no	—
980	C₂²×C₃	—	4	1	no	—
981	C₂²×C₃	—	4	2	no	—
982	C₂²×C₃	—	4	1	no	—
983	C₂²×C₃	—	4	1	no	—
984	C₂²×C₃	—	4	2	no	—
985	C₂²×C₃	—	16	4	no	—
986	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
987	C₃×C₄	—	2	1	no	—
988	C₃×C₄	—	2	1	no	—
989	C₃×C₄	—	2	2	no	—
990	C₃×C₄	—	2	1	no	—
991	C₃×C₄	—	2	2	no	—
992	C₃×C₄	—	2	1	no	—
993	C₃×C₄	—	4	1	no	—
994	C₃×C₄	—	4	1	no	—
995	C₃×C₄	—	4	2	no	—
996	C₃×C₄	—	4	1	no	—
997	C₃×C₄	—	4	1	no	—
998	C₃×C₄	—	4	1	no	—
999	C₃×C₄	—	4	1	no	—
1000	C₃×C₄	—	4	1	no	—
1001	C₃×C₄	—	4	2	no	—
1002	C₃×C₄	—	4	2	no	—
1003	C₃×C₄	#577	1	2	yes	—
1004	C₃×C₄	#585	1	1	yes	characteristic
1005	C₃×C₄	#585	1	1	yes	characteristic
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	2	no	—
1008	C₂³	—	8	2	no	—
1009	C₂³	—	8	2	no	—
1010	C₂³	—	8	2	no	—
1011	C₂³	C₂²×C₃×D₄	1	2	yes	—
1012	C₂³	C₂²×C₃×D₄	1	2	yes	—
1013	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	2	1	no	—
1020	Q₈	—	4	2	no	—
1021	Q₈	—	4	2	no	—
1022	Q₈	—	4	2	no	—
1023	Q₈	—	4	2	no	—
1024	Q₈	—	8	1	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	1	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	2	2	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	4	2	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	4	2	no	—
1036	D₄	—	8	2	no	—
1037	D₄	—	8	1	no	—
1038	D₄	—	8	2	no	—
1039	D₄	—	8	2	no	—
1040	D₄	—	8	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	1	no	—
1043	D₄	—	8	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	4	1	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	1	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	2	no	—
1070	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1071	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1072	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1073	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1074	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1075	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1076	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1077	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1078	C₈	—	2	1	no	—
1079	C₈	—	2	2	no	—
1080	C₈	—	2	1	no	—
1081	C₈	—	2	1	no	—
1082	C₈	—	2	2	no	—
1083	C₈	—	2	1	no	—
1084	C₂×C₃	—	4	1	no	—
1085	C₂×C₃	—	4	2	no	—
1086	C₂×C₃	—	4	2	no	—
1087	C₂×C₃	—	8	2	no	—
1088	C₂×C₃	—	8	1	no	—
1089	C₂×C₃	#3485	1	1	yes	characteristic
1090	C₂×C₃	C₂×#577	1	1	yes	characteristic
1091	C₂×C₃	#3584	1	1	yes	characteristic
1092	C₂²	—	2	1	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	16	4	no	—
1108	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1109	C₄	—	2	2	no	—
1110	C₄	—	2	1	no	—
1111	C₄	—	2	2	no	—
1112	C₄	—	2	1	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	1	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	2	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	2	no	—
1124	C₄	—	4	1	no	—
1125	C₄	C₃×#577	1	2	yes	—
1126	C₄	C₃×#585	1	1	yes	characteristic
1127	C₄	C₃×#585	1	1	yes	characteristic
1128	C₃	#61786	1	1	yes	characteristic, direct product factor, Sylow
1129	C₂	—	4	2	no	—
1130	C₂	—	4	1	no	—
1131	C₂	—	4	2	no	—
1132	C₂	—	8	1	no	—
1133	C₂	—	8	2	no	—
1134	C₂	C₃×#3485	1	1	yes	characteristic
1135	C₂	C₂×C₃×#577	1	1	yes	characteristic
1136	C₂	C₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
prime radical	C₃×#3546	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃×#3507	C₂	semidirect
3. C₃×#3356	C₂	semidirect
4. C₃×#3353	C₂	semidirect
5. C₃×#3351	C₂	semidirect
6. C₃×#3342	C₂	semidirect
7. C₃×#3337	C₂	semidirect
8. C₃×#3335	C₂	semidirect
9. C₃×#3333	C₂	semidirect
10. C₃×#3324	C₂	semidirect
11. C₃×#3323	C₂	semidirect
12. C₃×#3304	C₂	semidirect
13. C₃×#3296	C₂	semidirect
14. C₃×#3295	C₂	semidirect
15. C₃×#3233	C₂	semidirect
16. C₃×#3228	C₂	semidirect
17. C₃×#3201	C₂	semidirect
18. C₃×#3200	C₂	semidirect
19. C₃×#3108	C₂	semidirect
20. C₃×#3103	C₂	semidirect
21. C₃×#3099	C₂	semidirect
22. C₃×#3096	C₂	semidirect
23. C₃×#2979	C₂	semidirect
24. #61786	C₃	direct (N × H)
31. C₃×#556	C₂²	semidirect
33. C₃×#554	C₂²	semidirect
35. C₃×#552	C₂²	semidirect
36. C₃×#552	C₂²	semidirect
47. C₃×#536	C₂²	semidirect
50. C₃×#533	C₂²	semidirect
56. C₃×#520	C₂²	semidirect
57. C₂×C₃×C₄×Q₈	C₂²	semidirect
58. C₃×#500	C₂²	semidirect
59. C₃×#499	C₂²	semidirect
60. C₃×#498	C₂²	semidirect
64. C₃×#485	C₂²	semidirect
65. C₃×#485	C₂²	semidirect
66. C₃×#485	C₂²	semidirect
67. C₃×#485	C₂²	semidirect
68. C₃×#484	C₂²	semidirect
69. C₃×#483	C₂²	semidirect
70. C₃×#483	C₂²	semidirect
71. C₃×#483	C₂²	semidirect
75. C₃×#482	C₂²	semidirect
76. C₃×#482	C₂²	semidirect
77. C₃×#482	C₂²	semidirect
80. C₃×#481	C₂²	semidirect
82. C₃×#480	C₂²	semidirect
83. C₃×#479	C₂²	semidirect
84. C₃×#479	C₂²	semidirect
85. C₃×#478	C₂²	semidirect
86. C₃×#478	C₂²	semidirect
87. C₃×#477	C₂²	semidirect
89. C₃×#475	C₂²	semidirect
90. C₃×#475	C₂²	semidirect
91. C₃×#475	C₂²	semidirect
93. C₃×#470	C₂²	semidirect
96. C₃×#468	C₂²	semidirect
97. C₃×#467	C₂²	semidirect
100. C₃×#465	C₂²	semidirect
105. C₃×#452	C₂²	semidirect
106. C₃×#452	C₂²	semidirect
107. C₃×#451	C₂²	semidirect
111. C₃×#448	C₂²	semidirect
112. C₃×C₄×Q₁₆	C₂²	semidirect
113. C₃×C₄×Q₁₆	C₂²	semidirect
116. C₃×C₄×SD₁₆	C₂²	semidirect
117. C₃×C₄×SD₁₆	C₂²	semidirect
119. C₃×#436	C₂²	semidirect
120. C₃×#436	C₂²	semidirect
122. C₃×C₈×D₄	C₂²	semidirect
123. C₃×C₈×D₄	C₂²	semidirect
124. C₃×#431	C₂²	semidirect
125. C₃×#431	C₂²	semidirect
126. C₃×#428	C₂²	semidirect
127. C₃×#428	C₂²	semidirect
128. C₃×#427	C₂²	semidirect
129. C₂×C₃×#106	C₂²	semidirect
131. C₃×#417	C₂²	semidirect
132. C₃×#416	C₂²	semidirect
134. C₃×#408	C₂²	semidirect
135. C₃×#408	C₂²	semidirect
137. #3507	C₂×C₃	semidirect
138. #3356	C₂×C₃	semidirect
139. #3353	C₂×C₃	semidirect
140. #3351	C₂×C₃	semidirect
141. #3342	C₂×C₃	semidirect
142. #3337	C₂×C₃	semidirect
143. #3335	C₂×C₃	semidirect
144. #3333	C₂×C₃	semidirect
145. #3324	C₂×C₃	semidirect
146. #3323	C₂×C₃	semidirect
147. #3304	C₂×C₃	semidirect
148. #3296	C₂×C₃	semidirect
149. #3295	C₂×C₃	semidirect
150. #3233	C₂×C₃	semidirect
151. #3228	C₂×C₃	semidirect
152. #3201	C₂×C₃	semidirect
153. #3200	C₂×C₃	semidirect
154. #3108	C₂×C₃	semidirect
155. #3103	C₂×C₃	semidirect
156. #3099	C₂×C₃	semidirect
157. #3096	C₂×C₃	semidirect
158. #2979	C₂×C₃	semidirect
342. #556	C₂²×C₃	semidirect
344. #554	C₂²×C₃	semidirect
346. #552	C₂²×C₃	semidirect
347. #552	C₂²×C₃	semidirect
358. #536	C₂²×C₃	semidirect
361. #533	C₂²×C₃	semidirect
367. #520	C₂²×C₃	semidirect
368. C₂×C₄×Q₈	C₂²×C₃	semidirect
369. #500	C₂²×C₃	semidirect
370. #499	C₂²×C₃	semidirect
371. #498	C₂²×C₃	semidirect
375. #485	C₂²×C₃	semidirect
376. #485	C₂²×C₃	semidirect
377. #485	C₂²×C₃	semidirect
378. #485	C₂²×C₃	semidirect
379. #484	C₂²×C₃	semidirect
380. #483	C₂²×C₃	semidirect
381. #483	C₂²×C₃	semidirect
382. #483	C₂²×C₃	semidirect
386. #482	C₂²×C₃	semidirect
387. #482	C₂²×C₃	semidirect
388. #482	C₂²×C₃	semidirect
391. #481	C₂²×C₃	semidirect
393. #480	C₂²×C₃	semidirect
394. #479	C₂²×C₃	semidirect
395. #479	C₂²×C₃	semidirect
396. #478	C₂²×C₃	semidirect
397. #478	C₂²×C₃	semidirect
398. #477	C₂²×C₃	semidirect
400. #475	C₂²×C₃	semidirect
401. #475	C₂²×C₃	semidirect
402. #475	C₂²×C₃	semidirect
404. #470	C₂²×C₃	semidirect
407. #468	C₂²×C₃	semidirect
408. #467	C₂²×C₃	semidirect
411. #465	C₂²×C₃	semidirect
416. #452	C₂²×C₃	semidirect
417. #452	C₂²×C₃	semidirect
418. #451	C₂²×C₃	semidirect
422. #448	C₂²×C₃	semidirect
423. C₄×Q₁₆	C₂²×C₃	semidirect
424. C₄×Q₁₆	C₂²×C₃	semidirect
427. C₄×SD₁₆	C₂²×C₃	semidirect
428. C₄×SD₁₆	C₂²×C₃	semidirect
430. #436	C₂²×C₃	semidirect
431. #436	C₂²×C₃	semidirect
433. C₈×D₄	C₂²×C₃	semidirect
434. C₈×D₄	C₂²×C₃	semidirect
435. #431	C₂²×C₃	semidirect
436. #431	C₂²×C₃	semidirect
437. #428	C₂²×C₃	semidirect
438. #428	C₂²×C₃	semidirect
439. #427	C₂²×C₃	semidirect
440. C₂×#106	C₂²×C₃	semidirect
442. #417	C₂²×C₃	semidirect
443. #416	C₂²×C₃	semidirect
445. #408	C₂²×C₃	semidirect
446. #408	C₂²×C₃	semidirect
1128. C₃	#61786	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×#3546	2
C₃×#3507	2
C₃×#3356	2
C₃×#3353	2
C₃×#3351	2
C₃×#3342	2
C₃×#3337	2
C₃×#3335	2
C₃×#3333	2
C₃×#3324	2
C₃×#3323	2
C₃×#3304	2
C₃×#3296	2
C₃×#3295	2
C₃×#3233	2
C₃×#3228	2
C₃×#3201	2
C₃×#3200	2
C₃×#3108	2
C₃×#3103	2
C₃×#3099	2
C₃×#3096	2
C₃×#2979	2
#61786	3

Subgroups — C3×#61786 #10680393

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61786 #10680393