Subgroups — C₃×#61784 #10680391

Order 768.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1178 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, complemented
2	C₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3355	C₂	1	2	yes	maximal, complemented
4	C₃×#3354	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3353	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3340	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3339	C₂	1	2	yes	maximal, complemented
8	C₃×#3334	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3322	C₂	1	2	yes	maximal, complemented
12	C₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3297	C₂	1	2	yes	maximal, complemented
14	C₃×#3294	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×#3199	C₂	1	2	yes	maximal, complemented
18	C₃×#3198	C₂	1	2	yes	maximal, complemented
19	C₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3098	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	#61784	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₃×#560	—	2	2	no	—
26	C₃×#559	—	2	2	no	—
27	C₃×#556	—	2	1	no	—
28	C₃×#556	C₂²	1	1	yes	characteristic, complemented
29	C₃×#555	C₂²	1	1	yes	characteristic
30	C₃×#555	C₂²	1	1	yes	characteristic, complemented
31	C₃×#553	C₂²	1	2	yes	complemented
32	C₃×#553	C₂²	1	2	yes	complemented
33	C₃×#553	C₂²	1	2	yes	complemented
34	C₃×#550	—	2	1	no	—
35	C₃×#550	—	2	1	no	—
36	C₃×#550	C₂²	1	1	yes	characteristic, complemented
37	C₃×#547	C₂²	1	1	yes	characteristic
38	C₃×#547	C₂²	1	1	yes	characteristic, complemented
39	C₃×#547	C₂²	1	1	yes	characteristic, complemented
40	C₃×#546	—	2	1	no	—
41	C₃×#546	C₂²	1	2	yes	complemented
42	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
43	C₃×#542	—	2	1	no	—
44	C₃×#538	—	2	2	no	—
45	C₃×#538	—	2	2	no	—
46	C₃×#537	C₂²	1	2	yes	—
47	C₃×#535	—	2	1	no	—
48	C₃×#535	C₂²	1	2	yes	—
49	C₃×#535	C₂²	1	2	yes	complemented
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	C₂²	1	1	yes	characteristic
54	C₃×#525	—	2	1	no	—
55	C₃×#525	—	2	1	no	—
56	C₃×#520	C₂²	1	2	yes	complemented
57	C₂×C₃×C₄×D₄	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	complemented
62	C₃×#486	C₂²	1	1	yes	characteristic, complemented
63	C₃×#486	C₂²	1	1	yes	characteristic, complemented
64	C₃×#485	C₂²	1	2	yes	complemented
65	C₃×#485	C₂²	1	2	yes	complemented
66	C₃×#484	C₂²	1	2	yes	complemented
67	C₃×#484	C₂²	1	1	yes	characteristic, complemented
68	C₃×#482	C₂²	1	2	yes	—
69	C₃×#482	C₂²	1	2	yes	complemented
70	C₃×#482	C₂²	1	2	yes	complemented
71	C₃×#482	C₂²	1	2	yes	complemented
72	C₃×#482	C₂²	1	2	yes	complemented
73	C₃×#482	C₂²	1	2	yes	complemented
74	C₃×#482	C₂²	1	2	yes	complemented
75	C₃×#482	C₂²	1	2	yes	complemented
76	C₃×#481	C₂²	1	1	yes	characteristic
77	C₃×#481	C₂²	1	2	yes	complemented
78	C₃×#481	C₂²	1	2	yes	complemented
79	C₃×#480	C₂²	1	2	yes	complemented
80	C₃×#480	C₂²	1	2	yes	complemented
81	C₃×#480	C₂²	1	2	yes	complemented
82	C₃×#480	C₂²	1	2	yes	complemented
83	C₃×#478	C₂²	1	2	yes	complemented
84	C₃×#478	C₂²	1	2	yes	complemented
85	C₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₃×#478	C₂²	1	1	yes	characteristic, complemented
87	C₃×#477	C₂²	1	1	yes	characteristic, complemented
88	C₃×#476	C₂²	1	1	yes	characteristic, complemented
89	C₃×#475	C₂²	1	1	yes	characteristic, complemented
90	C₃×#474	C₂²	1	1	yes	characteristic, complemented
91	C₃×#474	C₂²	1	1	yes	characteristic, complemented
92	C₃×#474	C₂²	1	1	yes	characteristic, complemented
93	C₃×#469	C₂²	1	2	yes	—
94	C₃×#469	C₂²	1	2	yes	—
95	C₃×#469	C₂²	1	2	yes	complemented
96	C₃×#468	C₂²	1	2	yes	complemented
97	C₃×#466	C₂²	1	2	yes	—
98	C₃×#466	C₂²	1	2	yes	—
99	C₃×#466	C₂²	1	2	yes	complemented
100	C₃×#465	C₂²	1	2	yes	complemented
101	C₃×#463	C₂²	1	1	yes	characteristic
102	C₃×#463	C₂²	1	1	yes	characteristic
103	C₃×#459	C₂²	1	1	yes	characteristic
104	C₃×#459	C₂²	1	1	yes	characteristic
105	C₃×#450	C₂²	1	1	yes	characteristic, complemented
106	C₃×#449	C₂²	1	2	yes	complemented
107	C₃×#449	C₂²	1	2	yes	complemented
108	C₃×#447	C₂²	1	1	yes	characteristic
109	C₃×#447	C₂²	1	2	yes	—
110	C₃×#447	C₂²	1	2	yes	—
111	C₃×#447	C₂²	1	2	yes	complemented
112	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
113	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
114	C₃×C₄×D₈	C₂²	1	1	yes	characteristic
115	C₃×C₄×D₈	C₂²	1	1	yes	characteristic
116	C₃×C₄×D₈	C₂²	1	2	yes	complemented
117	C₃×C₄×D₈	C₂²	1	2	yes	complemented
118	C₃×#436	C₂²	1	2	yes	complemented
119	C₃×#436	C₂²	1	1	yes	characteristic, complemented
120	C₃×#436	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
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×#107	C₂²	1	2	yes	complemented
130	C₃×#418	C₂²	1	2	yes	complemented
131	C₃×#417	C₂²	1	2	yes	complemented
132	C₃×#416	C₂²	1	2	yes	complemented
133	C₂×C₃×#102	C₂²	1	2	yes	complemented
134	C₃×#408	C₂²	1	2	yes	complemented
135	C₃×#408	C₂²	1	2	yes	complemented
136	#3546	C₂×C₃	1	1	yes	characteristic, complemented
137	#3506	C₂×C₃	1	1	yes	characteristic, complemented
138	#3355	C₂×C₃	1	2	yes	complemented
139	#3354	C₂×C₃	1	1	yes	characteristic, complemented
140	#3353	C₂×C₃	1	1	yes	characteristic, complemented
141	#3340	C₂×C₃	1	1	yes	characteristic, complemented
142	#3339	C₂×C₃	1	2	yes	complemented
143	#3334	C₂×C₃	1	1	yes	characteristic, complemented
144	#3332	C₂×C₃	1	1	yes	characteristic, complemented
145	#3325	C₂×C₃	1	1	yes	characteristic, complemented
146	#3322	C₂×C₃	1	2	yes	complemented
147	#3305	C₂×C₃	1	1	yes	characteristic, complemented
148	#3297	C₂×C₃	1	2	yes	complemented
149	#3294	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	#3199	C₂×C₃	1	2	yes	complemented
153	#3198	C₂×C₃	1	2	yes	complemented
154	#3105	C₂×C₃	1	1	yes	characteristic, complemented
155	#3100	C₂×C₃	1	1	yes	characteristic, complemented
156	#3098	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	—	2	1	no	—
162	C₂×C₃×#41	—	2	1	no	—
163	C₂×C₃×#41	C₂³	1	2	yes	—
164	C₂×C₃×#41	C₂³	1	2	yes	—
165	C₂²×C₃×D₄	—	2	1	no	—
166	C₂²×C₃×D₄	C₂³	1	2	yes	—
167	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
168	C₂³×C₃×C₄	—	2	1	no	—
169	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
170	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
171	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
172	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
173	C₂×C₃×D₈	C₂³	1	2	yes	—
174	C₂×C₃×D₈	C₂³	1	2	yes	—
175	C₂×C₃×M₁₆	C₂³	1	2	yes	—
176	C₂×C₃×M₁₆	C₂³	1	2	yes	—
177	C₂²×C₃×C₈	C₂³	1	2	yes	—
178	C₂²×C₃×C₈	C₂³	1	2	yes	—
179	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
180	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
181	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
182	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
183	C₃×#127	—	2	2	no	—
184	C₃×#127	—	2	2	no	—
185	C₃×#127	—	2	1	no	—
186	C₃×#127	D₄	1	1	yes	characteristic
187	C₃×#127	C₂³	1	1	yes	characteristic
188	C₃×#126	—	2	2	no	—
189	C₃×#126	—	2	2	no	—
190	C₃×#126	—	2	2	no	—
191	C₃×#126	—	2	2	no	—
192	C₃×#126	—	2	1	no	—
193	C₃×#125	C₂³	1	1	yes	characteristic
194	C₃×#125	C₂³	1	2	yes	—
195	C₃×#124	—	2	2	no	—
196	C₃×#124	—	2	2	no	—
197	C₃×#124	—	2	1	no	—
198	C₃×#124	—	2	2	no	—
199	C₃×#124	—	2	2	no	—
200	C₃×#124	—	2	1	no	—
201	C₃×#124	D₄	1	2	yes	—
202	C₃×#124	C₂³	1	1	yes	characteristic
203	C₃×#123	—	2	1	no	—
204	C₃×#123	—	2	2	no	—
205	C₃×#123	—	2	2	no	—
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	2	no	—
211	C₃×C₂²⋊Q₈	—	2	2	no	—
212	C₃×C₂²⋊Q₈	—	2	1	no	—
213	C₃×C₂²⋊Q₈	—	2	1	no	—
214	C₃×C₂²⋊Q₈	—	2	1	no	—
215	C₃×C₂²⋊Q₈	—	2	1	no	—
216	C₃×C₂²⋊Q₈	—	2	1	no	—
217	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₃×#121	—	2	2	no	—
220	C₃×#121	—	2	2	no	—
221	C₃×#121	—	2	2	no	—
222	C₃×#121	—	2	1	no	—
223	C₃×#121	—	2	1	no	—
224	C₃×#121	—	2	2	no	—
225	C₃×#121	—	2	2	no	—
226	C₃×#121	—	2	2	no	—
227	C₃×#121	—	2	1	no	—
228	C₃×#121	—	2	1	no	—
229	C₃×#121	—	2	2	no	—
230	C₃×#121	—	2	2	no	—
231	C₃×#121	D₄	1	2	yes	—
232	C₃×#121	D₄	1	1	yes	characteristic
233	C₃×#121	D₄	1	1	yes	characteristic
234	C₃×#121	C₂³	1	2	yes	—
235	C₃×#121	C₂³	1	2	yes	—
236	C₃×#121	C₂³	1	1	yes	characteristic
237	C₃×#121	C₂³	1	2	yes	—
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×#121	C₂³	1	2	yes	—
243	C₃×#120	—	2	2	no	—
244	C₃×#120	—	2	2	no	—
245	C₃×#120	—	2	2	no	—
246	C₃×#120	—	2	2	no	—
247	C₃×#120	—	2	2	no	—
248	C₃×#120	—	2	2	no	—
249	C₃×C₄×Q₈	—	2	2	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	C₂³	1	1	yes	characteristic
254	C₃×C₄×D₄	—	2	2	no	—
255	C₃×C₄×D₄	—	2	2	no	—
256	C₃×C₄×D₄	—	2	2	no	—
257	C₃×C₄×D₄	—	2	1	no	—
258	C₃×C₄×D₄	—	2	1	no	—
259	C₃×C₄×D₄	—	2	2	no	—
260	C₃×C₄×D₄	—	2	2	no	—
261	C₃×C₄×D₄	—	2	2	no	—
262	C₃×C₄×D₄	—	2	1	no	—
263	C₃×C₄×D₄	—	2	1	no	—
264	C₃×C₄×D₄	—	2	1	no	—
265	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
266	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₃×C₄×D₄	C₂³	1	2	yes	—
271	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
272	C₃×C₄×D₄	C₂³	1	2	yes	—
273	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
274	C₃×#117	—	2	1	no	—
275	C₃×#117	—	2	1	no	—
276	C₃×#117	—	2	1	no	—
277	C₃×#117	C₂³	1	2	yes	—
278	C₃×#117	C₂³	1	2	yes	—
279	C₃×#117	C₂³	1	2	yes	—
280	C₃×#117	C₂³	1	2	yes	—
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	1	no	—
286	C₂×C₃×C₂²⋊C₄	—	2	2	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	2	yes	—
291	C₃×#107	C₂³	1	2	yes	—
292	C₃×#107	C₂³	1	2	yes	—
293	C₃×#107	C₂³	1	1	yes	characteristic
294	C₃×#107	C₂³	1	2	yes	—
295	C₃×#107	C₂³	1	2	yes	—
296	C₃×#106	C₂³	1	1	yes	characteristic
297	C₃×#106	C₂³	1	2	yes	—
298	C₃×#106	C₂³	1	1	yes	characteristic
299	C₃×#106	C₂³	1	2	yes	—
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×#102	C₂³	1	1	yes	characteristic
311	C₃×#102	C₂³	1	2	yes	—
312	C₃×#102	C₂³	1	2	yes	—
313	C₃×#102	C₂³	1	2	yes	—
314	C₃×#102	C₂³	1	2	yes	—
315	C₃×#102	C₂³	1	2	yes	—
316	C₃×#102	C₂³	1	2	yes	—
317	C₃×#102	C₂³	1	1	yes	characteristic
318	C₃×#102	C₂³	1	2	yes	—
319	C₃×#102	C₂³	1	2	yes	—
320	C₃×#102	C₂³	1	1	yes	characteristic
321	C₃×#102	C₂³	1	1	yes	characteristic
322	C₃×#102	C₂³	1	2	yes	—
323	C₃×#102	C₂³	1	2	yes	—
324	C₃×#102	C₂³	1	1	yes	characteristic
325	C₃×#102	C₂³	1	1	yes	characteristic
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	2	no	—
338	#556	—	2	1	no	—
339	#556	C₂²×C₃	1	1	yes	characteristic, complemented
340	#555	C₂²×C₃	1	1	yes	characteristic
341	#555	C₂²×C₃	1	1	yes	characteristic, complemented
342	#553	C₂²×C₃	1	2	yes	complemented
343	#553	C₂²×C₃	1	2	yes	complemented
344	#553	C₂²×C₃	1	2	yes	complemented
345	#550	—	2	1	no	—
346	#550	—	2	1	no	—
347	#550	C₂²×C₃	1	1	yes	characteristic, complemented
348	#547	C₂²×C₃	1	1	yes	characteristic
349	#547	C₂²×C₃	1	1	yes	characteristic, complemented
350	#547	C₂²×C₃	1	1	yes	characteristic, complemented
351	#546	—	2	1	no	—
352	#546	C₂²×C₃	1	2	yes	complemented
353	D₄²	C₂²×C₃	1	1	yes	characteristic, complemented
354	#542	—	2	1	no	—
355	#538	—	2	2	no	—
356	#538	—	2	2	no	—
357	#537	C₂²×C₃	1	2	yes	—
358	#535	—	2	1	no	—
359	#535	C₂²×C₃	1	2	yes	—
360	#535	C₂²×C₃	1	2	yes	complemented
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	C₂²×C₃	1	1	yes	characteristic
365	#525	—	2	1	no	—
366	#525	—	2	1	no	—
367	#520	C₂²×C₃	1	2	yes	complemented
368	C₂×C₄×D₄	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	complemented
373	#486	C₂²×C₃	1	1	yes	characteristic, complemented
374	#486	C₂²×C₃	1	1	yes	characteristic, complemented
375	#485	C₂²×C₃	1	2	yes	complemented
376	#485	C₂²×C₃	1	2	yes	complemented
377	#484	C₂²×C₃	1	2	yes	complemented
378	#484	C₂²×C₃	1	1	yes	characteristic, complemented
379	#482	C₂²×C₃	1	2	yes	—
380	#482	C₂²×C₃	1	2	yes	complemented
381	#482	C₂²×C₃	1	2	yes	complemented
382	#482	C₂²×C₃	1	2	yes	complemented
383	#482	C₂²×C₃	1	2	yes	complemented
384	#482	C₂²×C₃	1	2	yes	complemented
385	#482	C₂²×C₃	1	2	yes	complemented
386	#482	C₂²×C₃	1	2	yes	complemented
387	#481	C₂²×C₃	1	1	yes	characteristic
388	#481	C₂²×C₃	1	2	yes	complemented
389	#481	C₂²×C₃	1	2	yes	complemented
390	#480	C₂²×C₃	1	2	yes	complemented
391	#480	C₂²×C₃	1	2	yes	complemented
392	#480	C₂²×C₃	1	2	yes	complemented
393	#480	C₂²×C₃	1	2	yes	complemented
394	#478	C₂²×C₃	1	1	yes	characteristic, complemented
395	#478	C₂²×C₃	1	2	yes	complemented
396	#478	C₂²×C₃	1	1	yes	characteristic, 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, complemented
400	#475	C₂²×C₃	1	1	yes	characteristic, complemented
401	#474	C₂²×C₃	1	1	yes	characteristic, complemented
402	#474	C₂²×C₃	1	1	yes	characteristic, complemented
403	#474	C₂²×C₃	1	1	yes	characteristic, complemented
404	#469	C₂²×C₃	1	2	yes	—
405	#469	C₂²×C₃	1	2	yes	—
406	#469	C₂²×C₃	1	2	yes	complemented
407	#468	C₂²×C₃	1	2	yes	complemented
408	#466	C₂²×C₃	1	2	yes	—
409	#466	C₂²×C₃	1	2	yes	—
410	#466	C₂²×C₃	1	2	yes	complemented
411	#465	C₂²×C₃	1	2	yes	complemented
412	#463	C₂²×C₃	1	1	yes	characteristic
413	#463	C₂²×C₃	1	1	yes	characteristic
414	#459	C₂²×C₃	1	1	yes	characteristic
415	#459	C₂²×C₃	1	1	yes	characteristic
416	#450	C₂²×C₃	1	1	yes	characteristic, complemented
417	#449	C₂²×C₃	1	2	yes	complemented
418	#449	C₂²×C₃	1	2	yes	complemented
419	#447	C₂²×C₃	1	1	yes	characteristic
420	#447	C₂²×C₃	1	2	yes	—
421	#447	C₂²×C₃	1	2	yes	—
422	#447	C₂²×C₃	1	2	yes	complemented
423	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
425	C₄×D₈	C₂²×C₃	1	1	yes	characteristic
426	C₄×D₈	C₂²×C₃	1	1	yes	characteristic
427	C₄×D₈	C₂²×C₃	1	2	yes	complemented
428	C₄×D₈	C₂²×C₃	1	2	yes	complemented
429	#436	C₂²×C₃	1	1	yes	characteristic, complemented
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, complemented
433	C₈×D₄	C₂²×C₃	1	2	yes	complemented
434	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, 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×#107	C₂²×C₃	1	2	yes	complemented
441	#418	C₂²×C₃	1	2	yes	complemented
442	#417	C₂²×C₃	1	2	yes	complemented
443	#416	C₂²×C₃	1	2	yes	complemented
444	C₂×#102	C₂²×C₃	1	2	yes	complemented
445	#408	C₂²×C₃	1	2	yes	complemented
446	#408	C₂²×C₃	1	2	yes	complemented
447	C₂⁴×C₃	—	2	1	no	—
448	C₂⁴×C₃	—	2	2	no	—
449	C₃×#41	—	4	2	no	—
450	C₃×#41	—	4	2	no	—
451	C₃×#41	—	4	2	no	—
452	C₃×#41	—	4	2	no	—
453	C₃×#41	—	8	2	no	—
454	C₃×#41	—	8	2	no	—
455	C₃×#41	—	8	2	no	—
456	C₃×#41	—	8	2	no	—
457	C₂×C₃×Q₈	—	2	1	no	—
458	C₂×C₃×Q₈	—	2	1	no	—
459	C₂×C₃×Q₈	—	2	1	no	—
460	C₂×C₃×Q₈	C₂×D₄	1	2	yes	—
461	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
462	C₂×C₃×D₄	—	2	1	no	—
463	C₂×C₃×D₄	—	2	2	no	—
464	C₂×C₃×D₄	—	2	2	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	2	no	—
471	C₂×C₃×D₄	—	2	2	no	—
472	C₂×C₃×D₄	—	2	1	no	—
473	C₂×C₃×D₄	—	2	1	no	—
474	C₂×C₃×D₄	—	2	1	no	—
475	C₂×C₃×D₄	—	2	2	no	—
476	C₂×C₃×D₄	—	4	1	no	—
477	C₂×C₃×D₄	—	4	1	no	—
478	C₂×C₃×D₄	—	4	2	no	—
479	C₂×C₃×D₄	—	4	2	no	—
480	C₂×C₃×D₄	—	8	2	no	—
481	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
482	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
483	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
484	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
485	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
486	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
487	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
488	C₂×C₃×D₄	C₂⁴	1	2	yes	—
489	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
490	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
491	C₂²×C₃×C₄	—	2	1	no	—
492	C₂²×C₃×C₄	—	2	2	no	—
493	C₂²×C₃×C₄	—	2	2	no	—
494	C₂²×C₃×C₄	—	2	2	no	—
495	C₂²×C₃×C₄	—	2	1	no	—
496	C₂²×C₃×C₄	—	2	1	no	—
497	C₂²×C₃×C₄	—	2	1	no	—
498	C₂²×C₃×C₄	—	2	2	no	—
499	C₂²×C₃×C₄	—	2	2	no	—
500	C₂²×C₃×C₄	—	2	1	no	—
501	C₂²×C₃×C₄	—	2	1	no	—
502	C₂²×C₃×C₄	—	8	2	no	—
503	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
504	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
505	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
506	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
507	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
508	C₃×SD₁₆	—	4	1	no	—
509	C₃×SD₁₆	—	4	1	no	—
510	C₃×D₈	—	4	2	no	—
511	C₃×D₈	—	4	1	no	—
512	C₃×D₈	—	4	2	no	—
513	C₃×D₈	—	4	1	no	—
514	C₃×M₁₆	—	4	2	no	—
515	C₃×M₁₆	—	4	2	no	—
516	C₂×C₃×C₈	—	4	2	no	—
517	C₂×C₃×C₈	—	4	2	no	—
518	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₃×C₈	C₂⁴	1	2	yes	—
522	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₃×C₈	C₂⁴	1	2	yes	—
524	C₃×C₄⋊C₄	—	2	1	no	—
525	C₃×C₄⋊C₄	—	2	2	no	—
526	C₃×C₄⋊C₄	—	2	2	no	—
527	C₃×C₄⋊C₄	—	2	2	no	—
528	C₃×C₄⋊C₄	—	2	1	no	—
529	C₃×C₄⋊C₄	—	2	1	no	—
530	C₃×C₄⋊C₄	—	2	1	no	—
531	C₃×C₄⋊C₄	—	2	1	no	—
532	C₃×C₄⋊C₄	—	2	2	no	—
533	C₃×C₄⋊C₄	—	2	1	no	—
534	C₃×C₄⋊C₄	—	2	2	no	—
535	C₃×C₄⋊C₄	—	2	2	no	—
536	C₃×C₄⋊C₄	—	2	1	no	—
537	C₃×C₄⋊C₄	—	2	1	no	—
538	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
539	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
540	C₃×C₄⋊C₄	C₂×D₄	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	1	yes	characteristic
544	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
545	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
546	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
547	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	no	—
553	C₃×C₂²⋊C₄	—	2	1	no	—
554	C₃×C₂²⋊C₄	—	2	1	no	—
555	C₃×C₂²⋊C₄	—	2	1	no	—
556	C₃×C₂²⋊C₄	—	2	1	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	1	no	—
561	C₃×C₂²⋊C₄	—	2	1	no	—
562	C₃×C₂²⋊C₄	—	2	2	no	—
563	C₃×C₂²⋊C₄	—	2	2	no	—
564	C₃×C₂²⋊C₄	—	2	2	no	—
565	C₃×C₂²⋊C₄	—	2	2	no	—
566	C₃×C₂²⋊C₄	—	2	2	no	—
567	C₃×C₂²⋊C₄	—	2	2	no	—
568	C₃×C₂²⋊C₄	—	2	2	no	—
569	C₃×C₂²⋊C₄	—	2	1	no	—
570	C₃×C₂²⋊C₄	—	2	2	no	—
571	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
572	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
573	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
574	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
575	C₃×C₄²	—	2	2	no	—
576	C₃×C₄²	—	2	2	no	—
577	C₃×C₄²	—	2	1	no	—
578	C₃×C₄²	—	2	2	no	—
579	C₃×C₄²	—	2	2	no	—
580	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
581	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
582	C₃×C₄²	C₂⁴	1	1	yes	characteristic
583	C₃×C₄²	C₂⁴	1	1	yes	characteristic
584	C₂×#41	—	2	1	no	—
585	C₂×#41	—	2	1	no	—
586	C₂×#41	—	2	1	no	—
587	C₂×#41	—	2	1	no	—
588	C₂×#41	C₂³×C₃	1	2	yes	—
589	C₂×#41	C₂³×C₃	1	2	yes	—
590	C₂²×D₄	—	2	1	no	—
591	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
592	C₂²×D₄	C₂³×C₃	1	2	yes	—
593	C₂³×C₄	—	2	1	no	—
594	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
595	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
596	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
597	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
598	C₂×D₈	C₂³×C₃	1	2	yes	—
599	C₂×D₈	C₂³×C₃	1	2	yes	—
600	C₂×M₁₆	C₂³×C₃	1	2	yes	—
601	C₂×M₁₆	C₂³×C₃	1	2	yes	—
602	C₂²×C₈	C₂³×C₃	1	2	yes	—
603	C₂²×C₈	C₂³×C₃	1	2	yes	—
604	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
605	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
606	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
607	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
608	#127	—	2	1	no	—
609	#127	—	2	2	no	—
610	#127	—	2	2	no	—
611	#127	C₃×D₄	1	1	yes	characteristic
612	#127	C₂³×C₃	1	1	yes	characteristic
613	#126	—	2	2	no	—
614	#126	—	2	2	no	—
615	#126	—	2	2	no	—
616	#126	—	2	2	no	—
617	#126	—	2	1	no	—
618	#125	C₂³×C₃	1	1	yes	characteristic
619	#125	C₂³×C₃	1	2	yes	—
620	#124	—	2	2	no	—
621	#124	—	2	2	no	—
622	#124	—	2	1	no	—
623	#124	—	2	2	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	1	no	—
629	#123	—	2	2	no	—
630	#123	—	2	2	no	—
631	#123	—	2	2	no	—
632	#123	—	2	2	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	1	no	—
641	C₂²⋊Q₈	—	2	1	no	—
642	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
643	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
644	#121	—	2	1	no	—
645	#121	—	2	1	no	—
646	#121	—	2	2	no	—
647	#121	—	2	2	no	—
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	#121	C₂³×C₃	1	2	yes	—
665	#121	C₂³×C₃	1	2	yes	—
666	#121	C₂³×C₃	1	2	yes	—
667	#121	C₂³×C₃	1	2	yes	—
668	#120	—	2	2	no	—
669	#120	—	2	2	no	—
670	#120	—	2	2	no	—
671	#120	—	2	2	no	—
672	#120	—	2	2	no	—
673	#120	—	2	2	no	—
674	C₄×Q₈	—	2	2	no	—
675	C₄×Q₈	—	2	1	no	—
676	C₄×Q₈	—	2	1	no	—
677	C₄×Q₈	—	2	1	no	—
678	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
679	C₄×D₄	—	2	2	no	—
680	C₄×D₄	—	2	2	no	—
681	C₄×D₄	—	2	2	no	—
682	C₄×D₄	—	2	1	no	—
683	C₄×D₄	—	2	1	no	—
684	C₄×D₄	—	2	2	no	—
685	C₄×D₄	—	2	2	no	—
686	C₄×D₄	—	2	2	no	—
687	C₄×D₄	—	2	1	no	—
688	C₄×D₄	—	2	1	no	—
689	C₄×D₄	—	2	1	no	—
690	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
691	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
692	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
693	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
694	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
695	C₄×D₄	C₂³×C₃	1	2	yes	—
696	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
697	C₄×D₄	C₂³×C₃	1	2	yes	—
698	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
699	#117	—	2	1	no	—
700	#117	—	2	1	no	—
701	#117	—	2	1	no	—
702	#117	C₂³×C₃	1	2	yes	—
703	#117	C₂³×C₃	1	2	yes	—
704	#117	C₂³×C₃	1	2	yes	—
705	#117	C₂³×C₃	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
708	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
709	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
710	C₂×C₂²⋊C₄	—	2	1	no	—
711	C₂×C₂²⋊C₄	—	2	2	no	—
712	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
713	#107	C₂³×C₃	1	1	yes	characteristic
714	#107	C₂³×C₃	1	2	yes	—
715	#107	C₂³×C₃	1	2	yes	—
716	#107	C₂³×C₃	1	2	yes	—
717	#107	C₂³×C₃	1	2	yes	—
718	#107	C₂³×C₃	1	1	yes	characteristic
719	#107	C₂³×C₃	1	2	yes	—
720	#107	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	1	yes	characteristic
724	#106	C₂³×C₃	1	2	yes	—
725	#106	C₂³×C₃	1	2	yes	—
726	#106	C₂³×C₃	1	2	yes	—
727	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
728	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
729	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
730	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
731	#103	C₂³×C₃	1	1	yes	characteristic
732	#103	C₂³×C₃	1	2	yes	—
733	#103	C₂³×C₃	1	1	yes	characteristic
734	#103	C₂³×C₃	1	2	yes	—
735	#102	C₂³×C₃	1	1	yes	characteristic
736	#102	C₂³×C₃	1	2	yes	—
737	#102	C₂³×C₃	1	2	yes	—
738	#102	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
747	#102	C₂³×C₃	1	2	yes	—
748	#102	C₂³×C₃	1	2	yes	—
749	#102	C₂³×C₃	1	1	yes	characteristic
750	#102	C₂³×C₃	1	1	yes	characteristic
751	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
752	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
753	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
754	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
755	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
756	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
757	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
758	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
759	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
760	C₄×C₈	C₂³×C₃	1	2	yes	—
761	C₂³×C₃	—	2	1	no	—
762	C₂³×C₃	—	2	1	no	—
763	C₂³×C₃	—	2	1	no	—
764	C₂³×C₃	—	2	2	no	—
765	C₂³×C₃	—	4	2	no	—
766	C₂³×C₃	—	8	1	no	—
767	C₂³×C₃	—	8	1	no	—
768	C₂³×C₃	—	8	2	no	—
769	C₂³×C₃	—	8	2	no	—
770	C₂³×C₃	—	8	2	no	—
771	C₂³×C₃	C₂²×D₄	1	2	yes	—
772	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
773	C₂³×C₃	C₂²×D₄	1	2	yes	—
774	C₃×Q₈	—	2	1	no	—
775	C₃×Q₈	—	2	1	no	—
776	C₃×Q₈	—	4	2	no	—
777	C₃×Q₈	—	4	2	no	—
778	C₃×Q₈	—	4	2	no	—
779	C₃×Q₈	—	8	1	no	—
780	C₃×D₄	—	2	2	no	—
781	C₃×D₄	—	2	2	no	—
782	C₃×D₄	—	2	1	no	—
783	C₃×D₄	—	2	1	no	—
784	C₃×D₄	—	2	1	no	—
785	C₃×D₄	—	2	1	no	—
786	C₃×D₄	—	2	1	no	—
787	C₃×D₄	—	2	1	no	—
788	C₃×D₄	—	2	2	no	—
789	C₃×D₄	—	2	2	no	—
790	C₃×D₄	—	4	2	no	—
791	C₃×D₄	—	4	2	no	—
792	C₃×D₄	—	4	2	no	—
793	C₃×D₄	—	4	2	no	—
794	C₃×D₄	—	4	2	no	—
795	C₃×D₄	—	4	2	no	—
796	C₃×D₄	—	8	1	no	—
797	C₃×D₄	—	8	2	no	—
798	C₃×D₄	—	8	1	no	—
799	C₃×D₄	—	8	2	no	—
800	C₃×D₄	—	8	2	no	—
801	C₃×D₄	—	8	2	no	—
802	C₃×D₄	—	8	2	no	—
803	C₃×D₄	—	8	2	no	—
804	C₃×D₄	—	8	2	no	—
805	C₃×D₄	—	8	2	no	—
806	C₃×D₄	—	8	2	no	—
807	C₃×D₄	—	8	2	no	—
808	C₂×C₃×C₄	—	2	2	no	—
809	C₂×C₃×C₄	—	2	2	no	—
810	C₂×C₃×C₄	—	2	2	no	—
811	C₂×C₃×C₄	—	2	2	no	—
812	C₂×C₃×C₄	—	2	2	no	—
813	C₂×C₃×C₄	—	2	1	no	—
814	C₂×C₃×C₄	—	2	1	no	—
815	C₂×C₃×C₄	—	2	1	no	—
816	C₂×C₃×C₄	—	2	2	no	—
817	C₂×C₃×C₄	—	2	1	no	—
818	C₂×C₃×C₄	—	2	1	no	—
819	C₂×C₃×C₄	—	2	1	no	—
820	C₂×C₃×C₄	—	2	2	no	—
821	C₂×C₃×C₄	—	2	2	no	—
822	C₂×C₃×C₄	—	2	1	no	—
823	C₂×C₃×C₄	—	4	1	no	—
824	C₂×C₃×C₄	—	4	2	no	—
825	C₂×C₃×C₄	—	4	2	no	—
826	C₂×C₃×C₄	—	4	2	no	—
827	C₂×C₃×C₄	—	8	1	no	—
828	C₂×C₃×C₄	—	8	1	no	—
829	C₂×C₃×C₄	—	8	2	no	—
830	C₂×C₃×C₄	—	8	2	no	—
831	C₂×C₃×C₄	—	8	1	no	—
832	C₂×C₃×C₄	—	8	2	no	—
833	C₂×C₃×C₄	—	8	2	no	—
834	C₂×C₃×C₄	—	8	2	no	—
835	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
837	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
838	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
843	C₃×C₈	—	2	1	no	—
844	C₃×C₈	—	2	2	no	—
845	C₃×C₈	—	2	1	no	—
846	C₃×C₈	—	2	1	no	—
847	C₃×C₈	—	2	2	no	—
848	C₃×C₈	—	2	1	no	—
849	C₂⁴	—	2	1	no	—
850	C₂⁴	—	2	2	no	—
851	#41	—	4	2	no	—
852	#41	—	4	2	no	—
853	#41	—	4	2	no	—
854	#41	—	4	2	no	—
855	#41	—	8	2	no	—
856	#41	—	8	2	no	—
857	#41	—	8	2	no	—
858	#41	—	8	2	no	—
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	1	no	—
861	C₂×Q₈	—	2	1	no	—
862	C₂×Q₈	C₂×C₃×D₄	1	2	yes	—
863	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
864	C₂×D₄	—	2	1	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	2	no	—
867	C₂×D₄	—	2	2	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	1	no	—
875	C₂×D₄	—	2	1	no	—
876	C₂×D₄	—	2	1	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	4	1	no	—
879	C₂×D₄	—	4	1	no	—
880	C₂×D₄	—	4	2	no	—
881	C₂×D₄	—	4	2	no	—
882	C₂×D₄	—	8	2	no	—
883	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
884	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
885	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
886	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
887	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
888	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
889	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
890	C₂×D₄	C₂⁴×C₃	1	2	yes	—
891	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
892	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	8	2	no	—
905	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
906	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
907	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
908	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
909	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
910	SD₁₆	—	4	1	no	—
911	SD₁₆	—	4	1	no	—
912	D₈	—	4	2	no	—
913	D₈	—	4	1	no	—
914	D₈	—	4	2	no	—
915	D₈	—	4	1	no	—
916	M₁₆	—	4	2	no	—
917	M₁₆	—	4	2	no	—
918	C₂×C₈	—	4	2	no	—
919	C₂×C₈	—	4	2	no	—
920	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
921	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
922	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
923	C₂×C₈	C₂⁴×C₃	1	2	yes	—
924	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
925	C₂×C₈	C₂⁴×C₃	1	2	yes	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
941	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
942	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
943	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
944	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
945	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
946	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
947	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
949	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	2	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	1	no	—
956	C₂²⋊C₄	—	2	1	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	1	no	—
960	C₂²⋊C₄	—	2	1	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
974	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
975	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
976	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
977	C₄²	—	2	2	no	—
978	C₄²	—	2	2	no	—
979	C₄²	—	2	1	no	—
980	C₄²	—	2	2	no	—
981	C₄²	—	2	2	no	—
982	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
983	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
984	C₄²	C₂⁴×C₃	1	1	yes	characteristic
985	C₄²	C₂⁴×C₃	1	1	yes	characteristic
986	C₂²×C₃	—	2	1	no	—
987	C₂²×C₃	—	2	2	no	—
988	C₂²×C₃	—	2	2	no	—
989	C₂²×C₃	—	2	1	no	—
990	C₂²×C₃	—	2	2	no	—
991	C₂²×C₃	—	2	2	no	—
992	C₂²×C₃	—	2	1	no	—
993	C₂²×C₃	—	2	2	no	—
994	C₂²×C₃	—	2	2	no	—
995	C₂²×C₃	—	4	1	no	—
996	C₂²×C₃	—	4	1	no	—
997	C₂²×C₃	—	4	2	no	—
998	C₂²×C₃	—	4	1	no	—
999	C₂²×C₃	—	4	2	no	—
1000	C₂²×C₃	—	4	1	no	—
1001	C₂²×C₃	—	4	1	no	—
1002	C₂²×C₃	—	4	1	no	—
1003	C₂²×C₃	—	4	1	no	—
1004	C₂²×C₃	—	4	1	no	—
1005	C₂²×C₃	—	4	1	no	—
1006	C₂²×C₃	—	4	2	no	—
1007	C₂²×C₃	—	8	4	no	—
1008	C₂²×C₃	—	16	4	no	—
1009	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1010	C₃×C₄	—	2	1	no	—
1011	C₃×C₄	—	2	1	no	—
1012	C₃×C₄	—	2	2	no	—
1013	C₃×C₄	—	2	1	no	—
1014	C₃×C₄	—	2	2	no	—
1015	C₃×C₄	—	2	1	no	—
1016	C₃×C₄	—	4	1	no	—
1017	C₃×C₄	—	4	2	no	—
1018	C₃×C₄	—	4	1	no	—
1019	C₃×C₄	—	4	1	no	—
1020	C₃×C₄	—	4	1	no	—
1021	C₃×C₄	—	4	1	no	—
1022	C₃×C₄	—	4	2	no	—
1023	C₃×C₄	—	4	2	no	—
1024	C₃×C₄	#576	1	2	yes	—
1025	C₃×C₄	#585	1	1	yes	characteristic
1026	C₃×C₄	#585	1	1	yes	characteristic
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	4	2	no	—
1032	C₂³	—	8	1	no	—
1033	C₂³	—	8	1	no	—
1034	C₂³	—	8	2	no	—
1035	C₂³	—	8	2	no	—
1036	C₂³	—	8	2	no	—
1037	C₂³	C₂²×C₃×D₄	1	2	yes	—
1038	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1039	C₂³	C₂²×C₃×D₄	1	2	yes	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	2	1	no	—
1042	Q₈	—	4	2	no	—
1043	Q₈	—	4	2	no	—
1044	Q₈	—	4	2	no	—
1045	Q₈	—	8	1	no	—
1046	D₄	—	2	2	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	1	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	1	no	—
1053	D₄	—	2	1	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	2	no	—
1059	D₄	—	4	2	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	2	no	—
1062	D₄	—	8	2	no	—
1063	D₄	—	8	1	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	2	no	—
1068	D₄	—	8	2	no	—
1069	D₄	—	8	2	no	—
1070	D₄	—	8	1	no	—
1071	D₄	—	8	2	no	—
1072	D₄	—	8	2	no	—
1073	D₄	—	8	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	4	1	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	4	2	no	—
1093	C₂×C₄	—	8	1	no	—
1094	C₂×C₄	—	8	1	no	—
1095	C₂×C₄	—	8	2	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	1	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1102	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1103	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1104	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1105	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1106	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1107	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1108	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1109	C₈	—	2	1	no	—
1110	C₈	—	2	2	no	—
1111	C₈	—	2	1	no	—
1112	C₈	—	2	1	no	—
1113	C₈	—	2	2	no	—
1114	C₈	—	2	1	no	—
1115	C₂×C₃	—	4	2	no	—
1116	C₂×C₃	—	4	1	no	—
1117	C₂×C₃	—	4	2	no	—
1118	C₂×C₃	—	8	1	no	—
1119	C₂×C₃	—	8	1	no	—
1120	C₂×C₃	—	8	2	no	—
1121	C₂×C₃	—	8	1	no	—
1122	C₂×C₃	#3485	1	1	yes	characteristic
1123	C₂×C₃	C₂×#576	1	1	yes	characteristic
1124	C₂×C₃	#3584	1	1	yes	characteristic
1125	C₂²	—	2	1	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	2	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	2	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	4	1	no	—
1139	C₂²	—	4	1	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	8	4	no	—
1147	C₂²	—	16	4	no	—
1148	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1149	C₄	—	2	2	no	—
1150	C₄	—	2	1	no	—
1151	C₄	—	2	2	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	4	1	no	—
1156	C₄	—	4	1	no	—
1157	C₄	—	4	1	no	—
1158	C₄	—	4	1	no	—
1159	C₄	—	4	2	no	—
1160	C₄	—	4	2	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	2	no	—
1163	C₄	C₃×#576	1	2	yes	—
1164	C₄	C₃×#585	1	1	yes	characteristic
1165	C₄	C₃×#585	1	1	yes	characteristic
1166	C₃	#61784	1	1	yes	characteristic, direct product factor, Sylow
1167	C₂	—	4	1	no	—
1168	C₂	—	4	2	no	—
1169	C₂	—	4	2	no	—
1170	C₂	—	8	1	no	—
1171	C₂	—	8	1	no	—
1172	C₂	—	8	1	no	—
1173	C₂	—	8	2	no	—
1174	C₂	C₃×#3485	1	1	yes	characteristic
1175	C₂	C₂×C₃×#576	1	1	yes	characteristic
1176	C₂	C₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
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
1. C₃×#3546	C₂	semidirect
2. C₃×#3506	C₂	semidirect
3. C₃×#3355	C₂	semidirect
4. C₃×#3354	C₂	semidirect
5. C₃×#3353	C₂	semidirect
6. C₃×#3340	C₂	semidirect
7. C₃×#3339	C₂	semidirect
8. C₃×#3334	C₂	semidirect
9. C₃×#3332	C₂	semidirect
10. C₃×#3325	C₂	semidirect
11. C₃×#3322	C₂	semidirect
12. C₃×#3305	C₂	semidirect
13. C₃×#3297	C₂	semidirect
14. C₃×#3294	C₂	semidirect
15. C₃×#3233	C₂	semidirect
16. C₃×#3228	C₂	semidirect
17. C₃×#3199	C₂	semidirect
18. C₃×#3198	C₂	semidirect
19. C₃×#3105	C₂	semidirect
20. C₃×#3100	C₂	semidirect
21. C₃×#3098	C₂	semidirect
22. C₃×#3096	C₂	semidirect
23. C₃×#2979	C₂	semidirect
24. #61784	C₃	direct (N × H)
28. C₃×#556	C₂²	semidirect
30. C₃×#555	C₂²	semidirect
31. C₃×#553	C₂²	semidirect
32. C₃×#553	C₂²	semidirect
33. C₃×#553	C₂²	semidirect
36. C₃×#550	C₂²	semidirect
38. C₃×#547	C₂²	semidirect
39. C₃×#547	C₂²	semidirect
41. C₃×#546	C₂²	semidirect
42. C₃×D₄²	C₂²	semidirect
49. C₃×#535	C₂²	semidirect
50. C₃×#533	C₂²	semidirect
56. C₃×#520	C₂²	semidirect
57. C₂×C₃×C₄×D₄	C₂²	semidirect
58. C₃×#500	C₂²	semidirect
59. C₃×#499	C₂²	semidirect
60. C₃×#498	C₂²	semidirect
61. C₃×#488	C₂²	semidirect
62. C₃×#486	C₂²	semidirect
63. C₃×#486	C₂²	semidirect
64. C₃×#485	C₂²	semidirect
65. C₃×#485	C₂²	semidirect
66. C₃×#484	C₂²	semidirect
67. C₃×#484	C₂²	semidirect
69. C₃×#482	C₂²	semidirect
70. C₃×#482	C₂²	semidirect
71. C₃×#482	C₂²	semidirect
72. C₃×#482	C₂²	semidirect
73. C₃×#482	C₂²	semidirect
74. C₃×#482	C₂²	semidirect
75. C₃×#482	C₂²	semidirect
77. C₃×#481	C₂²	semidirect
78. C₃×#481	C₂²	semidirect
79. C₃×#480	C₂²	semidirect
80. C₃×#480	C₂²	semidirect
81. C₃×#480	C₂²	semidirect
82. C₃×#480	C₂²	semidirect
83. C₃×#478	C₂²	semidirect
84. C₃×#478	C₂²	semidirect
85. C₃×#478	C₂²	semidirect
86. C₃×#478	C₂²	semidirect
87. C₃×#477	C₂²	semidirect
88. C₃×#476	C₂²	semidirect
89. C₃×#475	C₂²	semidirect
90. C₃×#474	C₂²	semidirect
91. C₃×#474	C₂²	semidirect
92. C₃×#474	C₂²	semidirect
95. C₃×#469	C₂²	semidirect
96. C₃×#468	C₂²	semidirect
99. C₃×#466	C₂²	semidirect
100. C₃×#465	C₂²	semidirect
105. C₃×#450	C₂²	semidirect
106. C₃×#449	C₂²	semidirect
107. C₃×#449	C₂²	semidirect
111. C₃×#447	C₂²	semidirect
112. C₃×C₄×SD₁₆	C₂²	semidirect
113. C₃×C₄×SD₁₆	C₂²	semidirect
116. C₃×C₄×D₈	C₂²	semidirect
117. C₃×C₄×D₈	C₂²	semidirect
118. C₃×#436	C₂²	semidirect
119. C₃×#436	C₂²	semidirect
120. C₃×#436	C₂²	semidirect
121. C₃×C₈×D₄	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×#107	C₂²	semidirect
130. C₃×#418	C₂²	semidirect
131. C₃×#417	C₂²	semidirect
132. C₃×#416	C₂²	semidirect
133. C₂×C₃×#102	C₂²	semidirect
134. C₃×#408	C₂²	semidirect
135. C₃×#408	C₂²	semidirect
136. #3546	C₂×C₃	semidirect
137. #3506	C₂×C₃	semidirect
138. #3355	C₂×C₃	semidirect
139. #3354	C₂×C₃	semidirect
140. #3353	C₂×C₃	semidirect
141. #3340	C₂×C₃	semidirect
142. #3339	C₂×C₃	semidirect
143. #3334	C₂×C₃	semidirect
144. #3332	C₂×C₃	semidirect
145. #3325	C₂×C₃	semidirect
146. #3322	C₂×C₃	semidirect
147. #3305	C₂×C₃	semidirect
148. #3297	C₂×C₃	semidirect
149. #3294	C₂×C₃	semidirect
150. #3233	C₂×C₃	semidirect
151. #3228	C₂×C₃	semidirect
152. #3199	C₂×C₃	semidirect
153. #3198	C₂×C₃	semidirect
154. #3105	C₂×C₃	semidirect
155. #3100	C₂×C₃	semidirect
156. #3098	C₂×C₃	semidirect
157. #3096	C₂×C₃	semidirect
158. #2979	C₂×C₃	semidirect
339. #556	C₂²×C₃	semidirect
341. #555	C₂²×C₃	semidirect
342. #553	C₂²×C₃	semidirect
343. #553	C₂²×C₃	semidirect
344. #553	C₂²×C₃	semidirect
347. #550	C₂²×C₃	semidirect
349. #547	C₂²×C₃	semidirect
350. #547	C₂²×C₃	semidirect
352. #546	C₂²×C₃	semidirect
353. D₄²	C₂²×C₃	semidirect
360. #535	C₂²×C₃	semidirect
361. #533	C₂²×C₃	semidirect
367. #520	C₂²×C₃	semidirect
368. C₂×C₄×D₄	C₂²×C₃	semidirect
369. #500	C₂²×C₃	semidirect
370. #499	C₂²×C₃	semidirect
371. #498	C₂²×C₃	semidirect
372. #488	C₂²×C₃	semidirect
373. #486	C₂²×C₃	semidirect
374. #486	C₂²×C₃	semidirect
375. #485	C₂²×C₃	semidirect
376. #485	C₂²×C₃	semidirect
377. #484	C₂²×C₃	semidirect
378. #484	C₂²×C₃	semidirect
380. #482	C₂²×C₃	semidirect
381. #482	C₂²×C₃	semidirect
382. #482	C₂²×C₃	semidirect
383. #482	C₂²×C₃	semidirect
384. #482	C₂²×C₃	semidirect
385. #482	C₂²×C₃	semidirect
386. #482	C₂²×C₃	semidirect
388. #481	C₂²×C₃	semidirect
389. #481	C₂²×C₃	semidirect
390. #480	C₂²×C₃	semidirect
391. #480	C₂²×C₃	semidirect
392. #480	C₂²×C₃	semidirect
393. #480	C₂²×C₃	semidirect
394. #478	C₂²×C₃	semidirect
395. #478	C₂²×C₃	semidirect
396. #478	C₂²×C₃	semidirect
397. #478	C₂²×C₃	semidirect
398. #477	C₂²×C₃	semidirect
399. #476	C₂²×C₃	semidirect
400. #475	C₂²×C₃	semidirect
401. #474	C₂²×C₃	semidirect
402. #474	C₂²×C₃	semidirect
403. #474	C₂²×C₃	semidirect
406. #469	C₂²×C₃	semidirect
407. #468	C₂²×C₃	semidirect
410. #466	C₂²×C₃	semidirect
411. #465	C₂²×C₃	semidirect
416. #450	C₂²×C₃	semidirect
417. #449	C₂²×C₃	semidirect
418. #449	C₂²×C₃	semidirect
422. #447	C₂²×C₃	semidirect
423. C₄×SD₁₆	C₂²×C₃	semidirect
424. C₄×SD₁₆	C₂²×C₃	semidirect
427. C₄×D₈	C₂²×C₃	semidirect
428. C₄×D₈	C₂²×C₃	semidirect
429. #436	C₂²×C₃	semidirect
430. #436	C₂²×C₃	semidirect
431. #436	C₂²×C₃	semidirect
432. C₈×D₄	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×#107	C₂²×C₃	semidirect
441. #418	C₂²×C₃	semidirect
442. #417	C₂²×C₃	semidirect
443. #416	C₂²×C₃	semidirect
444. C₂×#102	C₂²×C₃	semidirect
445. #408	C₂²×C₃	semidirect
446. #408	C₂²×C₃	semidirect
1166. C₃	#61784	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×#3506	2
C₃×#3355	2
C₃×#3354	2
C₃×#3353	2
C₃×#3340	2
C₃×#3339	2
C₃×#3334	2
C₃×#3332	2
C₃×#3325	2
C₃×#3322	2
C₃×#3305	2
C₃×#3297	2
C₃×#3294	2
C₃×#3233	2
C₃×#3228	2
C₃×#3199	2
C₃×#3198	2
C₃×#3105	2
C₃×#3100	2
C₃×#3098	2
C₃×#3096	2
C₃×#2979	2
#61784	3

Subgroups — C3×#61784 #10680391

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61784 #10680391