Subgroups — C₃×#10948634 #72222758

Order 2304.

1381 conjugacy classes of subgroups.

The subgroup lattice has 1229 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#82035	C₂	1	1	yes	maximal, characteristic
2	C₃×D₃×#444	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#79864	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#69254	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#71515	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#70918	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#69090	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#70928	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#69309	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#69248	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#69312	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#69256	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#69251	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×D₃×#347	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃²×AGL(1,ℤ/16)	C₂	1	1	yes	maximal, characteristic, complemented
16	#10948634	C₃	1	1	yes	maximal, characteristic, direct product factor
17	C₃×#33468	—	3	1	no	maximal
18	C₃×D₃×#135	C₂²	1	1	yes	characteristic
19	C₂×C₃×#912	C₂²	1	1	yes	characteristic
20	C₃×D₃×#131	—	2	1	no	—
21	C₃×C₄×#237	—	2	1	no	—
22	C₃²×#509	C₂²	1	1	yes	characteristic
23	C₃²×#444	C₂²	1	1	yes	characteristic
24	C₃²×#442	C₂²	1	1	yes	characteristic, complemented
25	C₃×#5197	C₂²	1	1	yes	characteristic
26	C₃×#5195	C₂²	1	1	yes	characteristic
27	C₃×#5152	C₂²	1	1	yes	characteristic, complemented
28	C₃×#5147	C₂²	1	1	yes	characteristic
29	C₃×#5145	—	2	1	no	—
30	C₃×#5018	—	2	1	no	—
31	C₃×#4916	C₄	1	2	yes	complemented
32	C₃×#4915	C₄	1	2	yes	complemented
33	C₃×#4912	C₄	1	2	yes	complemented
34	C₃×#4911	C₄	1	2	yes	complemented
35	C₃×#4909	C₂²	1	1	yes	characteristic
36	C₃×D₃×M₃₂	C₂²	1	1	yes	characteristic
37	C₃×D₃×M₃₂	C₂²	1	1	yes	characteristic
38	C₃×#4894	C₂²	1	1	yes	characteristic
39	C₃×D₃×#108	C₂²	1	1	yes	characteristic
40	C₃×#4860	C₂²	1	1	yes	characteristic
41	C₃×#4853	C₂²	1	1	yes	characteristic, complemented
42	C₃×#4823	—	2	1	no	—
43	C₃×D₃×#104	—	2	1	no	—
44	C₃×#4772	—	2	1	no	—
45	C₃×#4757	—	2	1	no	—
46	C₃×#4717	C₂²	1	1	yes	characteristic
47	C₃×#4716	C₂²	1	1	yes	characteristic, complemented
48	C₃×D₃×#97	C₂²	1	1	yes	characteristic
49	C₃²×#365	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#361	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#360	C₂²	1	1	yes	characteristic
52	C₃²×#347	C₂²	1	1	yes	characteristic, complemented
53	C₃×#4566	C₂²	1	1	yes	characteristic
54	C₃×#4563	C₂²	1	1	yes	characteristic, complemented
55	C₃×#4518	C₂²	1	1	yes	characteristic
56	C₃×#4517	C₂²	1	1	yes	characteristic, complemented
57	C₃×#4513	C₂²	1	1	yes	characteristic, complemented
58	C₃×#4512	C₂²	1	1	yes	characteristic, complemented
59	C₃×#4512	C₂²	1	1	yes	characteristic, complemented
60	C₃×#4496	C₂²	1	1	yes	characteristic, complemented
61	C₃×#4494	C₂²	1	1	yes	characteristic, complemented
62	C₃×#4488	C₂²	1	1	yes	characteristic
63	C₃×#4487	C₂²	1	1	yes	characteristic, complemented
64	C₃×#4466	C₂²	1	1	yes	characteristic, complemented
65	C₃×#3414	—	3	1	no	—
66	C₂×C₃×#444	—	3	1	no	—
67	C₃×#2943	—	3	1	no	—
68	#82035	C₂×C₃	1	1	yes	characteristic
69	D₃×#444	C₂×C₃	1	1	yes	characteristic, complemented
70	#79864	C₂×C₃	1	1	yes	characteristic, complemented
71	C₃×AGL(1,ℤ/16)	—	2	1	no	—
72	C₃×AGL(1,ℤ/16)	—	3	1	no	—
73	C₃×AGL(1,ℤ/16)	—	3	1	no	—
74	C₃×AGL(1,ℤ/16)	—	3	1	no	—
75	C₃×AGL(1,ℤ/16)	D₃	1	1	yes	characteristic, complemented
76	C₃×AGL(1,ℤ/16)	C₂×C₃	1	1	yes	characteristic, complemented
77	C₃×#2180	—	3	1	no	—
78	C₃×#2180	—	3	1	no	—
79	C₃×#2180	—	3	1	no	—
80	C₃×#2180	—	3	1	no	—
81	C₃×#2155	—	3	1	no	—
82	C₃×#2148	—	3	1	no	—
83	C₃×#2145	—	3	1	no	—
84	C₂×C₃×#347	—	3	1	no	—
85	#71515	C₂×C₃	1	1	yes	characteristic, complemented
86	#70928	C₂×C₃	1	1	yes	characteristic, complemented
87	#70918	C₂×C₃	1	1	yes	characteristic, complemented
88	#69312	C₂×C₃	1	1	yes	characteristic, complemented
89	#69309	C₂×C₃	1	1	yes	characteristic, complemented
90	#69256	C₂×C₃	1	1	yes	characteristic, complemented
91	#69254	C₂×C₃	1	1	yes	characteristic, complemented
92	#69251	C₂×C₃	1	1	yes	characteristic, complemented
93	#69248	C₂×C₃	1	1	yes	characteristic, complemented
94	#69090	C₂×C₃	1	1	yes	characteristic, complemented
95	D₃×#347	C₂×C₃	1	1	yes	characteristic, complemented
96	C₃×D₃×#41	—	2	1	no	—
97	C₂×C₃×#237	—	2	1	no	—
98	C₃²×#135	C₂³	1	1	yes	characteristic
99	C₂×C₃²×D₈	C₂³	1	1	yes	characteristic
100	C₃²×#131	—	2	1	no	—
101	C₃²×C₄×D₄	—	2	1	no	—
102	C₃×#950	—	2	1	no	—
103	C₃×#948	—	2	1	no	—
104	C₃×D₄×Dic₃	—	2	1	no	—
105	C₂×C₃×#214	—	2	1	no	—
106	C₃×C₄×#67	—	4	1	no	—
107	C₂×C₃×C₄×Dic₃	—	4	1	no	—
108	C₃×#919	C₂×C₄	1	1	yes	characteristic, complemented
109	C₃×D₃×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
110	C₃×#916	—	2	1	no	—
111	C₃×D₃×SD₁₆	—	2	1	no	—
112	C₃×#912	—	2	1	no	—
113	C₃×#912	—	2	1	no	—
114	C₃×#912	C₂×C₄	1	2	yes	—
115	C₃×#912	C₂×C₄	1	2	yes	—
116	C₃×#912	C₂×C₄	1	1	yes	characteristic, complemented
117	C₃×D₃×D₈	C₂×C₄	1	1	yes	characteristic, complemented
118	C₃×#907	—	2	1	no	—
119	C₃×#907	—	4	1	no	—
120	C₃×D₃×M₁₆	—	2	1	no	—
121	C₃×D₃×M₁₆	—	4	1	no	—
122	C₂×C₃×Dic₁₂	C₂³	1	1	yes	characteristic
123	C₃×#904	C₂³	1	1	yes	characteristic
124	C₃×#901	—	2	1	no	—
125	C₃×#901	—	4	1	no	—
126	C₂×C₃×D₃×C₈	—	4	1	no	—
127	C₂×C₃×D₃×C₈	D₄	1	1	yes	characteristic
128	C₂×C₃×D₃×C₈	C₂³	1	1	yes	characteristic
129	C₃×#892	—	2	1	no	—
130	C₃×#887	—	2	1	no	—
131	C₃×#67⋊C₄	—	4	1	no	—
132	C₃×#877	—	4	1	no	—
133	C₃×C₄²×D₃	D₄	1	1	yes	characteristic
134	C₃×C₄×Dic₆	—	2	1	no	—
135	C₃²×SD₃₂	C₂×C₄	1	2	yes	complemented
136	C₃²×D₁₆	C₂×C₄	1	2	yes	complemented
137	C₃²×M₃₂	C₂³	1	1	yes	characteristic
138	C₃²×M₃₂	C₂³	1	1	yes	characteristic
139	C₃²×#108	C₂³	1	1	yes	characteristic
140	C₃²×#106	C₂³	1	1	yes	characteristic
141	C₃²×#104	—	2	1	no	—
142	C₃²×#102	—	2	1	no	—
143	C₃²×#97	C₂³	1	1	yes	characteristic
144	C₃×#837	—	2	1	no	—
145	C₃×#832	—	2	1	no	—
146	C₃×#829	C₂×C₄	1	2	yes	complemented
147	C₃×#827	C₂×C₄	1	2	yes	complemented
148	C₃×#827	C₂×C₄	1	2	yes	complemented
149	C₃×#826	C₂×C₄	1	2	yes	complemented
150	C₃×#825	—	2	1	no	—
151	C₃×#822	—	2	1	no	—
152	C₃×#819	C₂³	1	1	yes	characteristic
153	C₃×#817	C₂³	1	1	yes	characteristic
154	C₃×#816	—	2	1	no	—
155	C₃×#815	D₄	1	1	yes	characteristic
156	C₃×#815	C₂³	1	1	yes	characteristic
157	C₃×#812	C₂³	1	1	yes	characteristic
158	C₃×#812	C₂³	1	1	yes	characteristic
159	C₃×#810	—	2	1	no	—
160	C₃×#807	—	2	1	no	—
161	C₃×#805	—	2	1	no	—
162	C₃×#803	D₄	1	1	yes	characteristic
163	C₃×Dic₂₄	C₂×C₄	1	2	yes	complemented
164	C₃×#800	C₂×C₄	1	2	yes	complemented
165	C₃×#798	—	2	1	no	—
166	C₃×#798	C₂×C₄	1	2	yes	complemented
167	C₃×D₃×C₁₆	—	2	1	no	—
168	C₃×D₃×C₁₆	C₂×C₄	1	2	yes	complemented
169	#33468	—	3	1	no	Sylow
170	C₂×C₃×#135	—	3	1	no	—
171	C₂×C₃×#135	—	3	1	no	—
172	C₂×C₃×#131	—	6	1	no	—
173	C₃×C₄×#41	—	6	1	no	—
174	D₃×#135	C₂²×C₃	1	1	yes	characteristic
175	C₂×#912	C₂²×C₃	1	1	yes	characteristic
176	D₃×#131	—	2	1	no	—
177	C₄×#237	—	2	1	no	—
178	C₃×#510	—	3	1	no	—
179	C₃×#510	—	3	2	no	—
180	C₃×#510	—	3	1	no	—
181	C₃×#509	—	2	1	no	—
182	C₃×#509	—	3	1	no	—
183	C₃×#509	—	3	2	no	—
184	C₃×#509	C₂×D₃	1	1	yes	characteristic
185	C₃×#509	C₂²×C₃	1	1	yes	characteristic
186	C₃×#508	—	3	2	no	—
187	C₃×#508	—	3	2	no	—
188	C₂×C₃×M₃₂	—	3	1	no	—
189	C₂×C₃×M₃₂	—	3	1	no	—
190	C₃×#444	—	2	1	no	—
191	C₃×#444	—	3	1	no	—
192	C₃×#444	—	3	1	no	—
193	C₃×#444	—	3	1	no	—
194	C₃×#444	—	6	1	no	—
195	C₃×#444	—	6	1	no	—
196	C₃×#444	C₂×D₃	1	1	yes	characteristic
197	C₃×#444	C₂²×C₃	1	1	yes	characteristic
198	C₃×#442	—	2	1	no	—
199	C₃×#442	—	3	1	no	—
200	C₃×#442	C₂×D₃	1	1	yes	characteristic, complemented
201	C₃×#442	C₂²×C₃	1	1	yes	characteristic, complemented
202	C₃×#441	—	3	1	no	—
203	C₃×#441	—	3	1	no	—
204	C₃×#440	—	6	1	no	—
205	C₃×#440	—	6	1	no	—
206	C₂×C₃×#108	—	3	1	no	—
207	C₃×#427	—	3	1	no	—
208	C₂×C₃×#104	—	6	1	no	—
209	C₃×#416	—	6	1	no	—
210	C₂×C₃×#97	—	3	1	no	—
211	#5197	C₂²×C₃	1	1	yes	characteristic
212	#5195	C₂²×C₃	1	1	yes	characteristic
213	#5152	C₂²×C₃	1	1	yes	characteristic, complemented
214	#5147	C₂²×C₃	1	1	yes	characteristic
215	#5145	—	2	1	no	—
216	#5018	—	2	1	no	—
217	#4916	C₃×C₄	1	2	yes	complemented
218	#4915	C₃×C₄	1	2	yes	complemented
219	#4912	C₃×C₄	1	2	yes	complemented
220	#4911	C₃×C₄	1	2	yes	complemented
221	#4909	C₂²×C₃	1	1	yes	characteristic
222	D₃×M₃₂	C₂²×C₃	1	1	yes	characteristic
223	D₃×M₃₂	C₂²×C₃	1	1	yes	characteristic
224	#4894	C₂²×C₃	1	1	yes	characteristic
225	D₃×#108	C₂²×C₃	1	1	yes	characteristic
226	#4860	C₂²×C₃	1	1	yes	characteristic
227	#4853	C₂²×C₃	1	1	yes	characteristic, complemented
228	#4823	—	2	1	no	—
229	D₃×#104	—	2	1	no	—
230	#4772	—	2	1	no	—
231	#4757	—	2	1	no	—
232	#4717	C₂²×C₃	1	1	yes	characteristic
233	#4716	C₂²×C₃	1	1	yes	characteristic, complemented
234	D₃×#97	C₂²×C₃	1	1	yes	characteristic
235	C₃×#365	—	2	1	no	—
236	C₃×#365	—	3	1	no	—
237	C₃×#365	—	3	1	no	—
238	C₃×#365	—	3	1	no	—
239	C₃×#365	C₂×D₃	1	1	yes	characteristic, complemented
240	C₃×#365	C₂²×C₃	1	1	yes	characteristic, complemented
241	C₃×#362	—	3	1	no	—
242	C₃×#362	—	3	1	no	—
243	C₃×#361	—	2	1	no	—
244	C₃×#361	—	3	1	no	—
245	C₃×#361	C₂×D₃	1	1	yes	characteristic, complemented
246	C₃×#361	C₂²×C₃	1	1	yes	characteristic, complemented
247	C₃×#360	—	2	1	no	—
248	C₃×#360	—	3	1	no	—
249	C₃×#360	—	3	1	no	—
250	C₃×#360	—	3	1	no	—
251	C₃×#360	C₂×D₃	1	1	yes	characteristic
252	C₃×#360	C₂²×C₃	1	1	yes	characteristic
253	C₃×#347	—	2	1	no	—
254	C₃×#347	—	3	1	no	—
255	C₃×#347	—	3	1	no	—
256	C₃×#347	—	3	1	no	—
257	C₃×#347	C₂×D₃	1	1	yes	characteristic, complemented
258	C₃×#347	C₂²×C₃	1	1	yes	characteristic, complemented
259	#4566	C₂²×C₃	1	1	yes	characteristic
260	#4563	C₂²×C₃	1	1	yes	characteristic, complemented
261	#4518	C₂²×C₃	1	1	yes	characteristic
262	#4517	C₂²×C₃	1	1	yes	characteristic, complemented
263	#4513	C₂²×C₃	1	1	yes	characteristic, complemented
264	#4512	C₂²×C₃	1	1	yes	characteristic, complemented
265	#4512	C₂²×C₃	1	1	yes	characteristic, complemented
266	#4496	C₂²×C₃	1	1	yes	characteristic, complemented
267	#4494	C₂²×C₃	1	1	yes	characteristic, complemented
268	#4488	C₂²×C₃	1	1	yes	characteristic
269	#4487	C₂²×C₃	1	1	yes	characteristic, complemented
270	#4466	C₂²×C₃	1	1	yes	characteristic, complemented
271	C₃²×#41	—	2	1	no	—
272	C₂×C₃²×D₄	—	2	1	no	—
273	C₂²×C₃²×C₄	—	4	1	no	—
274	C₂×C₃×#67	—	4	1	no	—
275	C₂²×C₃×Dic₃	—	4	1	no	—
276	C₂²×C₃×Dic₃	—	4	1	no	—
277	C₃×#239	—	2	1	no	—
278	C₃×D₃×Q₈	—	2	1	no	—
279	C₃×#237	—	2	2	no	—
280	C₃×#237	—	2	2	no	—
281	C₃×#237	—	2	1	no	—
282	C₃×#237	—	4	1	no	—
283	C₃×#237	—	4	1	no	—
284	C₃×#237	—	4	1	no	—
285	C₃×D₃×D₄	—	2	1	no	—
286	C₃×D₃×D₄	—	4	1	no	—
287	C₃×#235	—	2	1	no	—
288	C₃×#235	—	4	1	no	—
289	C₂×C₃×C₄×D₃	—	2	1	no	—
290	C₂×C₃×C₄×D₃	—	4	1	no	—
291	C₂×C₃×C₄×D₃	C₂×D₄	1	1	yes	characteristic
292	C₂×C₃×Dic₆	—	2	1	no	—
293	C₃²×Q₁₆	C₂²×C₄	1	1	yes	characteristic
294	C₃²×SD₁₆	—	2	1	no	—
295	C₃²×D₈	—	2	1	no	—
296	C₃²×D₈	C₂²×C₄	1	1	yes	characteristic
297	C₃²×D₈	C₂²×C₄	1	2	yes	—
298	C₃²×M₁₆	—	2	1	no	—
299	C₃²×M₁₆	—	4	1	no	—
300	C₂×C₃²×C₈	—	4	1	no	—
301	C₂×C₃²×C₈	C₂×D₄	1	1	yes	characteristic
302	C₂×C₃²×C₈	C₂⁴	1	1	yes	characteristic
303	C₃²×C₄⋊C₄	—	2	1	no	—
304	C₃²×C₂²⋊C₄	—	4	1	no	—
305	C₃²×C₄²	C₂×D₄	1	1	yes	characteristic
306	C₃×#217	—	4	1	no	—
307	C₃×#216	—	2	1	no	—
308	C₃×#215	—	2	1	no	—
309	C₃×#214	—	2	2	no	—
310	C₃×#214	—	2	2	no	—
311	C₃×#214	—	2	1	no	—
312	C₃×#213	—	2	1	no	—
313	C₃×(C₂×D₃)⋊C₄	—	4	1	no	—
314	C₃×C₄⋊Dic₃	—	2	1	no	—
315	C₃×Dic₃⋊C₄	—	4	1	no	—
316	C₃×Dic₃⋊C₄	—	4	1	no	—
317	C₃×C₄×Dic₃	—	2	1	no	—
318	C₃×C₄×Dic₃	—	4	1	no	—
319	C₃×C₄×Dic₃	—	4	1	no	—
320	C₃×C₄×Dic₃	—	4	1	no	—
321	C₃×C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
322	C₃×#208	—	2	1	no	—
323	C₃×#208	—	4	1	no	—
324	C₂×C₃×C₃⋊C₈	—	4	1	no	—
325	C₂×C₃×C₃⋊C₈	C₂×D₄	1	1	yes	characteristic
326	C₂×C₃×C₃⋊C₈	C₂×D₄	1	1	yes	characteristic
327	C₃×Dic₁₂	—	2	1	no	—
328	C₃×Dic₁₂	C₂²×C₄	1	1	yes	characteristic
329	C₃×Dic₁₂	C₂²×C₄	1	2	yes	—
330	C₃×D₂₄	C₂²×C₄	1	1	yes	characteristic
331	C₃×#204	—	2	1	no	—
332	C₃×ΓL(1,𝔽₂₅)	—	4	1	no	—
333	C₃×ΓL(1,𝔽₂₅)	—	4	1	no	—
334	C₃×ΓL(1,𝔽₂₅)	—	4	1	no	—
335	C₃×D₃×C₈	—	2	1	no	—
336	C₃×D₃×C₈	—	2	1	no	—
337	C₃×D₃×C₈	—	4	1	no	—
338	C₃×D₃×C₈	—	4	1	no	—
339	C₃×D₃×C₈	—	4	1	no	—
340	C₃×D₃×C₈	C₂²×C₄	1	1	yes	characteristic
341	C₃×D₃×C₈	C₂²×C₄	1	1	yes	characteristic
342	C₃×D₃×C₈	#41	1	1	yes	characteristic
343	C₃×D₃×C₈	#41	1	1	yes	characteristic
344	C₃²×C₁₆	—	2	1	no	—
345	C₃²×C₁₆	C₂²×C₄	1	2	yes	—
346	C₃×C₃⋊C₁₆	—	2	1	no	—
347	C₃×C₃⋊C₁₆	C₂²×C₄	1	2	yes	—
348	#3414	—	3	1	no	—
349	C₂×#444	—	3	1	no	—
350	#2943	—	3	1	no	—
351	AGL(1,ℤ/16)	—	3	1	no	—
352	AGL(1,ℤ/16)	—	3	1	no	—
353	AGL(1,ℤ/16)	—	3	1	no	—
354	AGL(1,ℤ/16)	C₃×D₃	1	1	yes	characteristic, complemented
355	#2180	—	3	1	no	—
356	#2180	—	3	1	no	—
357	#2180	—	3	1	no	—
358	#2180	—	3	1	no	—
359	#2155	—	3	1	no	—
360	#2148	—	3	1	no	—
361	#2145	—	3	1	no	—
362	C₂×#347	—	3	1	no	—
363	C₂×C₃×#41	—	6	1	no	—
364	C₂×C₃×#41	—	6	1	no	—
365	D₃×#41	—	2	1	no	—
366	C₂×#237	—	2	1	no	—
367	C₃×#135	—	2	1	no	—
368	C₃×#135	—	3	1	no	—
369	C₃×#135	—	3	2	no	—
370	C₃×#135	—	3	1	no	—
371	C₃×#135	—	3	2	no	—
372	C₃×#135	—	3	1	no	—
373	C₃×#135	—	6	1	no	—
374	C₃×#135	—	6	1	no	—
375	C₃×#135	—	6	1	no	—
376	C₃×#135	—	6	1	no	—
377	C₃×#135	C₂²×D₃	1	1	yes	characteristic
378	C₃×#135	C₂³×C₃	1	1	yes	characteristic
379	C₂×C₃×Q₁₆	—	3	1	no	—
380	C₂×C₃×Q₁₆	—	3	1	no	—
381	C₂×C₃×SD₁₆	—	6	1	no	—
382	C₂×C₃×SD₁₆	—	6	1	no	—
383	C₂×C₃×D₈	—	2	1	no	—
384	C₂×C₃×D₈	—	3	1	no	—
385	C₂×C₃×D₈	C₂²×D₃	1	1	yes	characteristic
386	C₂×C₃×D₈	C₂³×C₃	1	1	yes	characteristic
387	C₃×#131	—	2	1	no	—
388	C₃×#131	—	2	1	no	—
389	C₃×#131	—	4	1	no	—
390	C₃×#131	—	6	1	no	—
391	C₃×#131	—	6	1	no	—
392	C₃×#131	—	6	1	no	—
393	C₃×#131	—	12	1	no	—
394	C₃×#131	—	12	1	no	—
395	C₂×C₃×M₁₆	—	6	1	no	—
396	C₂×C₃×M₁₆	—	12	1	no	—
397	C₂²×C₃×C₈	—	3	1	no	—
398	C₂²×C₃×C₈	—	3	1	no	—
399	C₂²×C₃×C₈	—	12	1	no	—
400	C₃×C₄×Q₈	—	6	1	no	—
401	C₃×C₄×Q₈	—	6	1	no	—
402	C₃×C₄×D₄	—	2	1	no	—
403	C₃×C₄×D₄	—	2	1	no	—
404	C₃×C₄×D₄	—	4	1	no	—
405	C₃×C₄×D₄	—	6	1	no	—
406	C₃×C₄×D₄	—	12	1	no	—
407	C₃×C₄×D₄	—	12	1	no	—
408	C₃×#117	—	6	1	no	—
409	C₃×#117	—	12	1	no	—
410	C₂×C₃×C₄²	—	3	1	no	—
411	C₂×C₃×C₄²	—	12	1	no	—
412	#950	—	2	1	no	—
413	#948	—	2	1	no	—
414	D₄×Dic₃	—	2	1	no	—
415	C₂×#214	—	2	1	no	—
416	C₄×#67	—	4	1	no	—
417	C₂×C₄×Dic₃	—	4	1	no	—
418	#919	C₂×C₃×C₄	1	1	yes	characteristic, complemented
419	D₃×Q₁₆	C₂×C₃×C₄	1	1	yes	characteristic, complemented
420	#916	—	2	1	no	—
421	D₃×SD₁₆	—	2	1	no	—
422	#912	—	2	1	no	—
423	#912	—	2	1	no	—
424	#912	C₂×C₃×C₄	1	2	yes	—
425	#912	C₂×C₃×C₄	1	2	yes	—
426	#912	C₂×C₃×C₄	1	1	yes	characteristic, complemented
427	D₃×D₈	C₂×C₃×C₄	1	1	yes	characteristic, complemented
428	#907	—	2	1	no	—
429	#907	—	4	1	no	—
430	D₃×M₁₆	—	2	1	no	—
431	D₃×M₁₆	—	4	1	no	—
432	C₂×Dic₁₂	C₂³×C₃	1	1	yes	characteristic
433	#904	C₂³×C₃	1	1	yes	characteristic
434	#901	—	2	1	no	—
435	#901	—	4	1	no	—
436	C₂×D₃×C₈	—	4	1	no	—
437	C₂×D₃×C₈	C₃×D₄	1	1	yes	characteristic
438	C₂×D₃×C₈	C₂³×C₃	1	1	yes	characteristic
439	#892	—	2	1	no	—
440	#887	—	2	1	no	—
441	#67⋊C₄	—	4	1	no	—
442	#877	—	4	1	no	—
443	C₄²×D₃	C₃×D₄	1	1	yes	characteristic
444	C₄×Dic₆	—	2	1	no	—
445	C₃×Q₃₂	—	3	2	no	—
446	C₃×Q₃₂	—	3	2	no	—
447	C₃×SD₃₂	—	2	2	no	—
448	C₃×SD₃₂	—	3	2	no	—
449	C₃×SD₃₂	—	3	2	no	—
450	C₃×SD₃₂	—	3	2	no	—
451	C₃×SD₃₂	C₄×D₃	1	2	yes	complemented
452	C₃×SD₃₂	C₂×C₃×C₄	1	2	yes	complemented
453	C₃×D₁₆	—	2	2	no	—
454	C₃×D₁₆	—	3	2	no	—
455	C₃×D₁₆	C₄×D₃	1	2	yes	complemented
456	C₃×D₁₆	C₂×C₃×C₄	1	2	yes	complemented
457	C₃×M₃₂	—	2	1	no	—
458	C₃×M₃₂	—	2	1	no	—
459	C₃×M₃₂	—	3	1	no	—
460	C₃×M₃₂	—	3	2	no	—
461	C₃×M₃₂	—	3	1	no	—
462	C₃×M₃₂	—	6	1	no	—
463	C₃×M₃₂	C₂²×D₃	1	1	yes	characteristic
464	C₃×M₃₂	C₂²×D₃	1	1	yes	characteristic
465	C₃×M₃₂	C₂³×C₃	1	1	yes	characteristic
466	C₃×M₃₂	C₂³×C₃	1	1	yes	characteristic
467	C₂×C₃×C₁₆	—	3	2	no	—
468	C₂×C₃×C₁₆	—	6	1	no	—
469	C₃×#108	—	2	1	no	—
470	C₃×#108	—	3	1	no	—
471	C₃×#108	—	6	1	no	—
472	C₃×#108	C₂²×D₃	1	1	yes	characteristic
473	C₃×#108	C₂³×C₃	1	1	yes	characteristic
474	C₃×#107	—	6	1	no	—
475	C₃×#106	—	2	1	no	—
476	C₃×#106	—	3	1	no	—
477	C₃×#106	C₂²×D₃	1	1	yes	characteristic
478	C₃×#106	C₂³×C₃	1	1	yes	characteristic
479	C₃×#104	—	2	1	no	—
480	C₃×#104	—	2	1	no	—
481	C₃×#104	—	4	1	no	—
482	C₃×#104	—	6	1	no	—
483	C₃×#104	—	6	1	no	—
484	C₃×#104	—	6	1	no	—
485	C₃×#103	—	6	1	no	—
486	C₃×#103	—	6	1	no	—
487	C₃×#102	—	2	1	no	—
488	C₃×#102	—	2	1	no	—
489	C₃×#102	—	4	1	no	—
490	C₃×#102	—	6	1	no	—
491	C₃×#97	—	2	1	no	—
492	C₃×#97	—	3	1	no	—
493	C₃×#97	—	3	1	no	—
494	C₃×#97	—	3	1	no	—
495	C₃×#97	C₂²×D₃	1	1	yes	characteristic
496	C₃×#97	C₂³×C₃	1	1	yes	characteristic
497	#837	—	2	1	no	—
498	#832	—	2	1	no	—
499	#829	C₂×C₃×C₄	1	2	yes	complemented
500	#827	C₂×C₃×C₄	1	2	yes	complemented
501	#827	C₂×C₃×C₄	1	2	yes	complemented
502	#826	C₂×C₃×C₄	1	2	yes	complemented
503	#825	—	2	1	no	—
504	#822	—	2	1	no	—
505	#819	C₂³×C₃	1	1	yes	characteristic
506	#817	C₂³×C₃	1	1	yes	characteristic
507	#816	—	2	1	no	—
508	#815	C₃×D₄	1	1	yes	characteristic
509	#815	C₂³×C₃	1	1	yes	characteristic
510	#812	C₂³×C₃	1	1	yes	characteristic
511	#812	C₂³×C₃	1	1	yes	characteristic
512	#810	—	2	1	no	—
513	#807	—	2	1	no	—
514	#805	—	2	1	no	—
515	#803	C₃×D₄	1	1	yes	characteristic
516	Dic₂₄	C₂×C₃×C₄	1	2	yes	complemented
517	#800	C₂×C₃×C₄	1	2	yes	complemented
518	#798	—	2	1	no	—
519	#798	C₂×C₃×C₄	1	2	yes	complemented
520	D₃×C₁₆	—	2	1	no	—
521	D₃×C₁₆	C₂×C₃×C₄	1	2	yes	complemented
522	C₂³×C₃²	—	4	1	no	—
523	C₂²×C₃×D₃	—	4	1	no	—
524	C₂²×C₃×D₃	AGL(1,ℤ/8)	1	1	yes	characteristic
525	C₃²×Q₈	—	2	1	no	—
526	C₃²×D₄	—	2	1	no	—
527	C₃²×D₄	—	2	2	no	—
528	C₃²×D₄	—	4	1	no	—
529	C₃²×D₄	—	4	1	no	—
530	C₂×C₃²×C₄	—	2	1	no	—
531	C₂×C₃²×C₄	—	4	1	no	—
532	C₂×C₃²×C₄	—	4	1	no	—
533	C₂×C₃²×C₄	—	8	2	no	—
534	C₂×C₃²×C₄	C₂²×D₄	1	1	yes	characteristic
535	C₃×#67	—	4	1	no	—
536	C₃×#67	—	4	1	no	—
537	C₃×#67	—	4	2	no	—
538	C₃×#67	—	4	2	no	—
539	C₃×#67	—	4	1	no	—
540	C₂×C₃×Dic₃	—	2	1	no	—
541	C₂×C₃×Dic₃	—	4	1	no	—
542	C₂×C₃×Dic₃	—	4	1	no	—
543	C₂×C₃×Dic₃	—	4	2	no	—
544	C₂×C₃×Dic₃	—	4	2	no	—
545	C₂×C₃×Dic₃	—	4	1	no	—
546	C₂×C₃×Dic₃	—	8	2	no	—
547	C₂×C₃×Dic₃	AGL(1,ℤ/8)	1	1	yes	characteristic
548	C₃×D₁₂	—	2	1	no	—
549	C₃×D₁₂	—	4	1	no	—
550	C₃×C₄×D₃	—	4	1	no	—
551	C₃×C₄×D₃	—	4	1	no	—
552	C₃×C₄×D₃	—	4	1	no	—
553	C₃×C₄×D₃	—	8	1	no	—
554	C₃×C₄×D₃	C₄×D₄	1	1	yes	characteristic
555	C₃×C₄×D₃	C₄×D₄	1	1	yes	characteristic
556	C₃×C₄×D₃	AGL(1,ℤ/8)	1	1	yes	characteristic
557	C₃×C₄×D₃	AGL(1,ℤ/8)	1	1	yes	characteristic
558	C₃×Dic₆	—	2	1	no	—
559	C₃×Dic₆	—	2	2	no	—
560	C₃×Dic₆	—	4	1	no	—
561	C₃×Dic₆	—	4	1	no	—
562	C₃²×C₈	—	2	1	no	—
563	C₃²×C₈	—	4	1	no	—
564	C₃²×C₈	C₂³×C₄	1	1	yes	characteristic
565	C₃²×C₈	C₂×#41	1	1	yes	characteristic
566	C₃×C₃⋊C₈	—	2	1	no	—
567	C₃×C₃⋊C₈	—	4	1	no	—
568	C₃×C₃⋊C₈	C₄×D₄	1	1	yes	characteristic
569	C₃×C₃⋊C₈	C₄×D₄	1	1	yes	characteristic
570	C₂×#135	—	3	1	no	—
571	C₂×#135	—	3	1	no	—
572	C₂×#131	—	6	1	no	—
573	C₄×#41	—	6	1	no	—
574	#510	—	3	1	no	—
575	#510	—	3	2	no	—
576	#510	—	3	1	no	—
577	#509	—	3	1	no	—
578	#509	—	3	2	no	—
579	#509	C₂×C₃×D₃	1	1	yes	characteristic
580	#508	—	3	2	no	—
581	#508	—	3	2	no	—
582	C₂×M₃₂	—	3	1	no	—
583	C₂×M₃₂	—	3	1	no	—
584	#444	—	3	1	no	—
585	#444	—	3	1	no	—
586	#444	—	3	1	no	—
587	#444	—	6	1	no	—
588	#444	—	6	1	no	—
589	#444	C₂×C₃×D₃	1	1	yes	characteristic
590	#442	—	3	1	no	—
591	#442	C₂×C₃×D₃	1	1	yes	characteristic, complemented
592	#441	—	3	1	no	—
593	#441	—	3	1	no	—
594	#440	—	6	1	no	—
595	#440	—	6	1	no	—
596	C₂×#108	—	3	1	no	—
597	#427	—	3	1	no	—
598	C₂×#104	—	6	1	no	—
599	#416	—	6	1	no	—
600	C₂×#97	—	3	1	no	—
601	#365	—	3	1	no	—
602	#365	—	3	1	no	—
603	#365	—	3	1	no	—
604	#365	C₂×C₃×D₃	1	1	yes	characteristic, complemented
605	#362	—	3	1	no	—
606	#362	—	3	1	no	—
607	#361	—	3	1	no	—
608	#361	C₂×C₃×D₃	1	1	yes	characteristic, complemented
609	#360	—	3	1	no	—
610	#360	—	3	1	no	—
611	#360	—	3	1	no	—
612	#360	C₂×C₃×D₃	1	1	yes	characteristic
613	#347	—	3	1	no	—
614	#347	—	3	1	no	—
615	#347	—	3	1	no	—
616	#347	C₂×C₃×D₃	1	1	yes	characteristic, complemented
617	C₃×#41	—	2	1	no	—
618	C₃×#41	—	2	1	no	—
619	C₃×#41	—	4	1	no	—
620	C₃×#41	—	6	2	no	—
621	C₃×#41	—	6	2	no	—
622	C₃×#41	—	6	1	no	—
623	C₃×#41	—	6	1	no	—
624	C₃×#41	—	6	1	no	—
625	C₃×#41	—	12	1	no	—
626	C₃×#41	—	12	1	no	—
627	C₃×#41	—	12	1	no	—
628	C₃×#41	—	12	1	no	—
629	C₂×C₃×Q₈	—	6	1	no	—
630	C₂×C₃×Q₈	—	6	1	no	—
631	C₂×C₃×D₄	—	2	1	no	—
632	C₂×C₃×D₄	—	2	1	no	—
633	C₂×C₃×D₄	—	4	1	no	—
634	C₂×C₃×D₄	—	6	1	no	—
635	C₂×C₃×D₄	—	12	1	no	—
636	C₂×C₃×D₄	—	12	1	no	—
637	C₂²×C₃×C₄	—	3	1	no	—
638	C₂²×C₃×C₄	—	4	1	no	—
639	C₂²×C₃×C₄	—	4	1	no	—
640	C₂²×C₃×C₄	—	6	1	no	—
641	C₂²×C₃×C₄	—	8	1	no	—
642	C₂²×C₃×C₄	—	12	1	no	—
643	C₂²×C₃×C₄	—	12	1	no	—
644	C₂²×C₃×C₄	—	12	1	no	—
645	C₂×#67	—	4	1	no	—
646	C₂²×Dic₃	—	4	1	no	—
647	C₂²×Dic₃	—	4	1	no	—
648	#239	—	2	1	no	—
649	D₃×Q₈	—	2	1	no	—
650	#237	—	2	2	no	—
651	#237	—	2	2	no	—
652	#237	—	2	1	no	—
653	#237	—	4	1	no	—
654	#237	—	4	1	no	—
655	#237	—	4	1	no	—
656	D₃×D₄	—	2	1	no	—
657	D₃×D₄	—	4	1	no	—
658	#235	—	2	1	no	—
659	#235	—	4	1	no	—
660	C₂×C₄×D₃	—	2	1	no	—
661	C₂×C₄×D₃	—	4	1	no	—
662	C₂×C₄×D₃	C₂×C₃×D₄	1	1	yes	characteristic
663	C₂×Dic₆	—	2	1	no	—
664	C₃×Q₁₆	—	2	1	no	—
665	C₃×Q₁₆	—	3	1	no	—
666	C₃×Q₁₆	—	3	2	no	—
667	C₃×Q₁₆	—	6	1	no	—
668	C₃×Q₁₆	—	6	1	no	—
669	C₃×Q₁₆	C₂×C₄×D₃	1	1	yes	characteristic
670	C₃×Q₁₆	C₂²×C₃×C₄	1	1	yes	characteristic
671	C₃×SD₁₆	—	2	1	no	—
672	C₃×SD₁₆	—	2	1	no	—
673	C₃×SD₁₆	—	4	1	no	—
674	C₃×SD₁₆	—	6	2	no	—
675	C₃×SD₁₆	—	6	2	no	—
676	C₃×SD₁₆	—	6	1	no	—
677	C₃×SD₁₆	—	6	1	no	—
678	C₃×SD₁₆	—	6	1	no	—
679	C₃×D₈	—	2	1	no	—
680	C₃×D₈	—	2	1	no	—
681	C₃×D₈	—	2	1	no	—
682	C₃×D₈	—	2	2	no	—
683	C₃×D₈	—	3	1	no	—
684	C₃×D₈	—	4	1	no	—
685	C₃×D₈	—	6	1	no	—
686	C₃×D₈	C₂×C₄×D₃	1	2	yes	—
687	C₃×D₈	C₂×C₄×D₃	1	1	yes	characteristic
688	C₃×D₈	C₂²×C₃×C₄	1	2	yes	—
689	C₃×D₈	C₂²×C₃×C₄	1	1	yes	characteristic
690	C₃×M₁₆	—	2	1	no	—
691	C₃×M₁₆	—	2	1	no	—
692	C₃×M₁₆	—	4	1	no	—
693	C₃×M₁₆	—	4	1	no	—
694	C₃×M₁₆	—	4	1	no	—
695	C₃×M₁₆	—	6	1	no	—
696	C₃×M₁₆	—	8	1	no	—
697	C₃×M₁₆	—	12	1	no	—
698	C₃×M₁₆	—	12	1	no	—
699	C₃×M₁₆	—	12	1	no	—
700	C₃×M₁₆	—	12	1	no	—
701	C₂×C₃×C₈	—	2	1	no	—
702	C₂×C₃×C₈	—	2	1	no	—
703	C₂×C₃×C₈	—	3	1	no	—
704	C₂×C₃×C₈	—	3	1	no	—
705	C₂×C₃×C₈	—	3	1	no	—
706	C₂×C₃×C₈	—	3	1	no	—
707	C₂×C₃×C₈	—	3	1	no	—
708	C₂×C₃×C₈	—	3	1	no	—
709	C₂×C₃×C₈	—	4	1	no	—
710	C₂×C₃×C₈	—	4	1	no	—
711	C₂×C₃×C₈	—	6	1	no	—
712	C₂×C₃×C₈	—	6	1	no	—
713	C₂×C₃×C₈	—	8	1	no	—
714	C₂×C₃×C₈	—	12	1	no	—
715	C₂×C₃×C₈	—	12	1	no	—
716	C₂×C₃×C₈	—	12	1	no	—
717	C₂×C₃×C₈	—	12	1	no	—
718	C₂×C₃×C₈	D₃×D₄	1	1	yes	characteristic
719	C₂×C₃×C₈	C₂×C₃×D₄	1	1	yes	characteristic
720	C₂×C₃×C₈	C₂³×D₃	1	1	yes	characteristic
721	C₂×C₃×C₈	C₂⁴×C₃	1	1	yes	characteristic
722	C₃×C₄⋊C₄	—	2	1	no	—
723	C₃×C₄⋊C₄	—	2	1	no	—
724	C₃×C₄⋊C₄	—	4	1	no	—
725	C₃×C₄⋊C₄	—	6	1	no	—
726	C₃×C₄⋊C₄	—	12	1	no	—
727	C₃×C₄⋊C₄	—	12	1	no	—
728	C₃×C₂²⋊C₄	—	4	1	no	—
729	C₃×C₂²⋊C₄	—	4	1	no	—
730	C₃×C₂²⋊C₄	—	8	1	no	—
731	C₃×C₂²⋊C₄	—	12	1	no	—
732	C₃×C₂²⋊C₄	—	12	1	no	—
733	C₃×C₄²	—	2	1	no	—
734	C₃×C₄²	—	3	1	no	—
735	C₃×C₄²	—	6	1	no	—
736	C₃×C₄²	—	12	1	no	—
737	C₃×C₄²	—	12	1	no	—
738	C₃×C₄²	—	12	1	no	—
739	C₃×C₄²	D₃×D₄	1	1	yes	characteristic
740	C₃×C₄²	C₂×C₃×D₄	1	1	yes	characteristic
741	#217	—	4	1	no	—
742	#216	—	2	1	no	—
743	#215	—	2	1	no	—
744	#214	—	2	2	no	—
745	#214	—	2	2	no	—
746	#214	—	2	1	no	—
747	#213	—	2	1	no	—
748	(C₂×D₃)⋊C₄	—	4	1	no	—
749	C₄⋊Dic₃	—	2	1	no	—
750	Dic₃⋊C₄	—	4	1	no	—
751	Dic₃⋊C₄	—	4	1	no	—
752	C₄×Dic₃	—	2	1	no	—
753	C₄×Dic₃	—	4	1	no	—
754	C₄×Dic₃	—	4	1	no	—
755	C₄×Dic₃	—	4	1	no	—
756	C₄×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
757	#208	—	2	1	no	—
758	#208	—	4	1	no	—
759	C₂×C₃⋊C₈	—	4	1	no	—
760	C₂×C₃⋊C₈	C₂×C₃×D₄	1	1	yes	characteristic
761	C₂×C₃⋊C₈	C₂×C₃×D₄	1	1	yes	characteristic
762	Dic₁₂	—	2	1	no	—
763	Dic₁₂	C₂²×C₃×C₄	1	2	yes	—
764	Dic₁₂	C₂²×C₃×C₄	1	1	yes	characteristic
765	D₂₄	C₂²×C₃×C₄	1	1	yes	characteristic
766	#204	—	2	1	no	—
767	ΓL(1,𝔽₂₅)	—	4	1	no	—
768	ΓL(1,𝔽₂₅)	—	4	1	no	—
769	ΓL(1,𝔽₂₅)	—	4	1	no	—
770	D₃×C₈	—	2	1	no	—
771	D₃×C₈	—	2	1	no	—
772	D₃×C₈	—	4	1	no	—
773	D₃×C₈	—	4	1	no	—
774	D₃×C₈	—	4	1	no	—
775	D₃×C₈	C₂²×C₃×C₄	1	1	yes	characteristic
776	D₃×C₈	C₂²×C₃×C₄	1	1	yes	characteristic
777	D₃×C₈	C₃×#41	1	1	yes	characteristic
778	D₃×C₈	C₃×#41	1	1	yes	characteristic
779	C₃×C₁₆	—	2	1	no	—
780	C₃×C₁₆	—	2	1	no	—
781	C₃×C₁₆	—	2	2	no	—
782	C₃×C₁₆	—	3	2	no	—
783	C₃×C₁₆	—	4	1	no	—
784	C₃×C₁₆	—	6	1	no	—
785	C₃×C₁₆	C₂×C₄×D₃	1	2	yes	—
786	C₃×C₁₆	C₂²×C₃×C₄	1	2	yes	—
787	C₃⋊C₁₆	—	2	1	no	—
788	C₃⋊C₁₆	C₂²×C₃×C₄	1	2	yes	—
789	C₂²×C₃²	—	4	2	no	—
790	C₂²×C₃²	—	4	1	no	—
791	C₂²×C₃²	—	8	1	no	—
792	C₂²×C₃²	—	8	1	no	—
793	C₂²×C₃²	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
794	C₂×C₃×D₃	—	4	1	no	—
795	C₂×C₃×D₃	—	4	1	no	—
796	C₂×C₃×D₃	—	8	2	no	—
797	C₂×C₃×D₃	#442	1	1	yes	characteristic
798	C₂×C₃×D₃	#442	1	1	yes	characteristic
799	C₃²×C₄	—	4	1	no	—
800	C₃²×C₄	—	4	1	no	—
801	C₃²×C₄	—	8	1	no	—
802	C₃²×C₄	C₂×C₄×D₄	1	1	yes	characteristic
803	C₃²×C₄	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
804	C₃×Dic₃	—	4	1	no	—
805	C₃×Dic₃	—	4	1	no	—
806	C₃×Dic₃	—	4	2	no	—
807	C₃×Dic₃	—	8	1	no	—
808	C₃×Dic₃	#442	1	1	yes	characteristic
809	C₃×Dic₃	#442	1	1	yes	characteristic
810	C₂×#41	—	6	1	no	—
811	C₂×#41	—	6	1	no	—
812	#135	—	3	1	no	—
813	#135	—	3	2	no	—
814	#135	—	3	2	no	—
815	#135	—	3	1	no	—
816	#135	—	3	1	no	—
817	#135	—	6	1	no	—
818	#135	—	6	1	no	—
819	#135	—	6	1	no	—
820	#135	—	6	1	no	—
821	#135	C₂²×C₃×D₃	1	1	yes	characteristic
822	C₂×Q₁₆	—	3	1	no	—
823	C₂×Q₁₆	—	3	1	no	—
824	C₂×SD₁₆	—	6	1	no	—
825	C₂×SD₁₆	—	6	1	no	—
826	C₂×D₈	—	3	1	no	—
827	C₂×D₈	C₂²×C₃×D₃	1	1	yes	characteristic
828	#131	—	2	1	no	—
829	#131	—	6	1	no	—
830	#131	—	6	1	no	—
831	#131	—	6	1	no	—
832	#131	—	12	1	no	—
833	#131	—	12	1	no	—
834	C₂×M₁₆	—	6	1	no	—
835	C₂×M₁₆	—	12	1	no	—
836	C₂²×C₈	—	3	1	no	—
837	C₂²×C₈	—	3	1	no	—
838	C₂²×C₈	—	12	1	no	—
839	C₄×Q₈	—	6	1	no	—
840	C₄×Q₈	—	6	1	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	6	1	no	—
843	C₄×D₄	—	12	1	no	—
844	C₄×D₄	—	12	1	no	—
845	#117	—	6	1	no	—
846	#117	—	12	1	no	—
847	C₂×C₄²	—	3	1	no	—
848	C₂×C₄²	—	12	1	no	—
849	Q₃₂	—	3	2	no	—
850	Q₃₂	—	3	2	no	—
851	SD₃₂	—	3	2	no	—
852	SD₃₂	—	3	2	no	—
853	SD₃₂	—	3	2	no	—
854	SD₃₂	C₃×C₄×D₃	1	2	yes	complemented
855	D₁₆	—	3	2	no	—
856	D₁₆	C₃×C₄×D₃	1	2	yes	complemented
857	M₃₂	—	3	1	no	—
858	M₃₂	—	3	2	no	—
859	M₃₂	—	3	1	no	—
860	M₃₂	—	6	1	no	—
861	M₃₂	C₂²×C₃×D₃	1	1	yes	characteristic
862	M₃₂	C₂²×C₃×D₃	1	1	yes	characteristic
863	C₂×C₁₆	—	3	2	no	—
864	C₂×C₁₆	—	6	1	no	—
865	#108	—	3	1	no	—
866	#108	—	6	1	no	—
867	#108	C₂²×C₃×D₃	1	1	yes	characteristic
868	#107	—	6	1	no	—
869	#106	—	3	1	no	—
870	#106	C₂²×C₃×D₃	1	1	yes	characteristic
871	#104	—	2	1	no	—
872	#104	—	6	1	no	—
873	#104	—	6	1	no	—
874	#104	—	6	1	no	—
875	#103	—	6	1	no	—
876	#103	—	6	1	no	—
877	#102	—	2	1	no	—
878	#102	—	6	1	no	—
879	#97	—	3	1	no	—
880	#97	—	3	1	no	—
881	#97	—	3	1	no	—
882	#97	C₂²×C₃×D₃	1	1	yes	characteristic
883	C₂³×C₃	—	3	1	no	—
884	C₂³×C₃	—	4	1	no	—
885	C₂³×C₃	—	4	1	no	—
886	C₂³×C₃	—	8	1	no	—
887	C₂³×C₃	—	12	1	no	—
888	C₂²×D₃	—	4	1	no	—
889	C₂²×D₃	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
890	C₃×Q₈	—	2	1	no	—
891	C₃×Q₈	—	2	1	no	—
892	C₃×Q₈	—	4	1	no	—
893	C₃×Q₈	—	6	1	no	—
894	C₃×Q₈	—	6	2	no	—
895	C₃×Q₈	—	12	1	no	—
896	C₃×Q₈	—	12	1	no	—
897	C₃×D₄	—	2	2	no	—
898	C₃×D₄	—	2	1	no	—
899	C₃×D₄	—	2	1	no	—
900	C₃×D₄	—	2	2	no	—
901	C₃×D₄	—	4	2	no	—
902	C₃×D₄	—	4	1	no	—
903	C₃×D₄	—	4	1	no	—
904	C₃×D₄	—	4	1	no	—
905	C₃×D₄	—	4	1	no	—
906	C₃×D₄	—	4	1	no	—
907	C₃×D₄	—	6	1	no	—
908	C₃×D₄	—	8	1	no	—
909	C₃×D₄	—	8	1	no	—
910	C₃×D₄	—	12	1	no	—
911	C₃×D₄	—	12	1	no	—
912	C₃×D₄	—	12	2	no	—
913	C₃×D₄	—	12	1	no	—
914	C₃×D₄	—	12	2	no	—
915	C₃×D₄	—	12	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
917	C₂×C₃×C₄	—	2	1	no	—
918	C₂×C₃×C₄	—	2	1	no	—
919	C₂×C₃×C₄	—	3	1	no	—
920	C₂×C₃×C₄	—	3	1	no	—
921	C₂×C₃×C₄	—	3	1	no	—
922	C₂×C₃×C₄	—	3	1	no	—
923	C₂×C₃×C₄	—	3	1	no	—
924	C₂×C₃×C₄	—	4	1	no	—
925	C₂×C₃×C₄	—	4	1	no	—
926	C₂×C₃×C₄	—	4	1	no	—
927	C₂×C₃×C₄	—	4	1	no	—
928	C₂×C₃×C₄	—	4	1	no	—
929	C₂×C₃×C₄	—	6	1	no	—
930	C₂×C₃×C₄	—	8	1	no	—
931	C₂×C₃×C₄	—	8	1	no	—
932	C₂×C₃×C₄	—	8	2	no	—
933	C₂×C₃×C₄	—	8	2	no	—
934	C₂×C₃×C₄	—	12	1	no	—
935	C₂×C₃×C₄	—	12	1	no	—
936	C₂×C₃×C₄	—	12	2	no	—
937	C₂×C₃×C₄	—	12	2	no	—
938	C₂×C₃×C₄	—	12	1	no	—
939	C₂×C₃×C₄	—	12	1	no	—
940	C₂×C₃×C₄	—	12	1	no	—
941	C₂×C₃×C₄	—	12	1	no	—
942	C₂×C₃×C₄	—	16	2	no	—
943	C₂×C₃×C₄	—	24	1	no	—
944	C₂×C₃×C₄	—	24	2	no	—
945	C₂×C₃×C₄	C₂×D₃×D₄	1	1	yes	characteristic
946	C₂×C₃×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
947	#67	—	4	1	no	—
948	#67	—	4	1	no	—
949	#67	—	4	2	no	—
950	#67	—	4	2	no	—
951	#67	—	4	1	no	—
952	C₂×Dic₃	—	2	1	no	—
953	C₂×Dic₃	—	4	1	no	—
954	C₂×Dic₃	—	4	1	no	—
955	C₂×Dic₃	—	4	2	no	—
956	C₂×Dic₃	—	4	2	no	—
957	C₂×Dic₃	—	4	1	no	—
958	C₂×Dic₃	—	8	2	no	—
959	C₂×Dic₃	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
960	D₁₂	—	2	1	no	—
961	D₁₂	—	4	1	no	—
962	C₄×D₃	—	4	1	no	—
963	C₄×D₃	—	4	1	no	—
964	C₄×D₃	—	4	1	no	—
965	C₄×D₃	—	8	1	no	—
966	C₄×D₃	C₃×C₄×D₄	1	1	yes	characteristic
967	C₄×D₃	C₃×C₄×D₄	1	1	yes	characteristic
968	C₄×D₃	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
969	C₄×D₃	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
970	Dic₆	—	2	1	no	—
971	Dic₆	—	2	2	no	—
972	Dic₆	—	4	1	no	—
973	Dic₆	—	4	1	no	—
974	C₃×C₈	—	2	1	no	—
975	C₃×C₈	—	2	1	no	—
976	C₃×C₈	—	2	1	no	—
977	C₃×C₈	—	2	1	no	—
978	C₃×C₈	—	3	1	no	—
979	C₃×C₈	—	3	1	no	—
980	C₃×C₈	—	4	1	no	—
981	C₃×C₈	—	4	1	no	—
982	C₃×C₈	—	4	1	no	—
983	C₃×C₈	—	6	1	no	—
984	C₃×C₈	—	8	1	no	—
985	C₃×C₈	—	12	1	no	—
986	C₃×C₈	C₂²×C₄×D₃	1	1	yes	characteristic
987	C₃×C₈	D₃×#41	1	1	yes	characteristic
988	C₃×C₈	C₂³×C₃×C₄	1	1	yes	characteristic
989	C₃×C₈	C₂×C₃×#41	1	1	yes	characteristic
990	C₃⋊C₈	—	2	1	no	—
991	C₃⋊C₈	—	4	1	no	—
992	C₃⋊C₈	C₃×C₄×D₄	1	1	yes	characteristic
993	C₃⋊C₈	C₃×C₄×D₄	1	1	yes	characteristic
994	C₂×C₃²	—	2	1	no	—
995	C₂×C₃²	—	8	1	no	—
996	C₂×C₃²	—	8	2	no	—
997	C₂×C₃²	C₂×#442	1	1	yes	characteristic
998	C₃×D₃	—	2	1	no	—
999	C₃×D₃	—	2	1	no	—
1000	C₃×D₃	—	8	1	no	—
1001	#41	—	2	1	no	—
1002	#41	—	6	2	no	—
1003	#41	—	6	2	no	—
1004	#41	—	6	1	no	—
1005	#41	—	6	1	no	—
1006	#41	—	6	1	no	—
1007	#41	—	12	1	no	—
1008	#41	—	12	1	no	—
1009	#41	—	12	1	no	—
1010	#41	—	12	1	no	—
1011	C₂×Q₈	—	6	1	no	—
1012	C₂×Q₈	—	6	1	no	—
1013	C₂×D₄	—	2	1	no	—
1014	C₂×D₄	—	6	1	no	—
1015	C₂×D₄	—	12	1	no	—
1016	C₂×D₄	—	12	1	no	—
1017	C₂²×C₄	—	3	1	no	—
1018	C₂²×C₄	—	4	1	no	—
1019	C₂²×C₄	—	6	1	no	—
1020	C₂²×C₄	—	12	1	no	—
1021	C₂²×C₄	—	12	1	no	—
1022	C₂²×C₄	—	12	1	no	—
1023	Q₁₆	—	3	1	no	—
1024	Q₁₆	—	3	2	no	—
1025	Q₁₆	—	6	1	no	—
1026	Q₁₆	—	6	1	no	—
1027	Q₁₆	C₂×C₃×C₄×D₃	1	1	yes	characteristic
1028	SD₁₆	—	2	1	no	—
1029	SD₁₆	—	6	2	no	—
1030	SD₁₆	—	6	2	no	—
1031	SD₁₆	—	6	1	no	—
1032	SD₁₆	—	6	1	no	—
1033	SD₁₆	—	6	1	no	—
1034	D₈	—	2	1	no	—
1035	D₈	—	3	1	no	—
1036	D₈	—	6	1	no	—
1037	D₈	C₂×C₃×C₄×D₃	1	2	yes	—
1038	D₈	C₂×C₃×C₄×D₃	1	1	yes	characteristic
1039	M₁₆	—	2	1	no	—
1040	M₁₆	—	4	1	no	—
1041	M₁₆	—	6	1	no	—
1042	M₁₆	—	12	1	no	—
1043	M₁₆	—	12	1	no	—
1044	M₁₆	—	12	1	no	—
1045	M₁₆	—	12	1	no	—
1046	C₂×C₈	—	3	1	no	—
1047	C₂×C₈	—	3	1	no	—
1048	C₂×C₈	—	3	1	no	—
1049	C₂×C₈	—	3	1	no	—
1050	C₂×C₈	—	3	1	no	—
1051	C₂×C₈	—	3	1	no	—
1052	C₂×C₈	—	4	1	no	—
1053	C₂×C₈	—	6	1	no	—
1054	C₂×C₈	—	6	1	no	—
1055	C₂×C₈	—	12	1	no	—
1056	C₂×C₈	—	12	1	no	—
1057	C₂×C₈	—	12	1	no	—
1058	C₂×C₈	—	12	1	no	—
1059	C₂×C₈	C₃×D₃×D₄	1	1	yes	characteristic
1060	C₂×C₈	C₂³×C₃×D₃	1	1	yes	characteristic
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	6	1	no	—
1063	C₄⋊C₄	—	12	1	no	—
1064	C₄⋊C₄	—	12	1	no	—
1065	C₂²⋊C₄	—	4	1	no	—
1066	C₂²⋊C₄	—	12	1	no	—
1067	C₂²⋊C₄	—	12	1	no	—
1068	C₄²	—	3	1	no	—
1069	C₄²	—	6	1	no	—
1070	C₄²	—	12	1	no	—
1071	C₄²	—	12	1	no	—
1072	C₄²	—	12	1	no	—
1073	C₄²	C₃×D₃×D₄	1	1	yes	characteristic
1074	C₁₆	—	2	1	no	—
1075	C₁₆	—	3	2	no	—
1076	C₁₆	—	6	1	no	—
1077	C₁₆	C₂×C₃×C₄×D₃	1	2	yes	—
1078	C₂²×C₃	—	2	1	no	—
1079	C₂²×C₃	—	3	1	no	—
1080	C₂²×C₃	—	3	1	no	—
1081	C₂²×C₃	—	4	2	no	—
1082	C₂²×C₃	—	4	1	no	—
1083	C₂²×C₃	—	4	1	no	—
1084	C₂²×C₃	—	4	2	no	—
1085	C₂²×C₃	—	8	1	no	—
1086	C₂²×C₃	—	8	2	no	—
1087	C₂²×C₃	—	8	1	no	—
1088	C₂²×C₃	—	8	1	no	—
1089	C₂²×C₃	—	8	1	no	—
1090	C₂²×C₃	—	8	1	no	—
1091	C₂²×C₃	—	12	1	no	—
1092	C₂²×C₃	—	12	1	no	—
1093	C₂²×C₃	—	16	1	no	—
1094	C₂²×C₃	—	16	1	no	—
1095	C₂²×C₃	—	24	2	no	—
1096	C₂²×C₃	D₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1097	C₂²×C₃	C₂×C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1098	C₂×D₃	—	4	1	no	—
1099	C₂×D₃	—	4	1	no	—
1100	C₂×D₃	—	8	2	no	—
1101	C₂×D₃	C₃×#442	1	1	yes	characteristic
1102	C₂×D₃	C₃×#442	1	1	yes	characteristic
1103	C₃×C₄	—	2	1	no	—
1104	C₃×C₄	—	2	1	no	—
1105	C₃×C₄	—	3	1	no	—
1106	C₃×C₄	—	3	1	no	—
1107	C₃×C₄	—	4	1	no	—
1108	C₃×C₄	—	4	1	no	—
1109	C₃×C₄	—	4	1	no	—
1110	C₃×C₄	—	4	1	no	—
1111	C₃×C₄	—	8	1	no	—
1112	C₃×C₄	—	8	1	no	—
1113	C₃×C₄	—	8	1	no	—
1114	C₃×C₄	—	8	1	no	—
1115	C₃×C₄	—	12	1	no	—
1116	C₃×C₄	—	12	2	no	—
1117	C₃×C₄	—	12	1	no	—
1118	C₃×C₄	—	16	1	no	—
1119	C₃×C₄	—	24	1	no	—
1120	C₃×C₄	C₄×D₃×D₄	1	1	yes	characteristic
1121	C₃×C₄	D₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1122	C₃×C₄	C₂×C₃×C₄×D₄	1	1	yes	characteristic
1123	C₃×C₄	C₂×C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1124	Dic₃	—	4	1	no	—
1125	Dic₃	—	4	1	no	—
1126	Dic₃	—	4	2	no	—
1127	Dic₃	—	8	1	no	—
1128	Dic₃	C₃×#442	1	1	yes	characteristic
1129	Dic₃	C₃×#442	1	1	yes	characteristic
1130	C₃²	#33468	1	1	yes	characteristic, complemented, Sylow
1131	C₂³	—	3	1	no	—
1132	C₂³	—	4	1	no	—
1133	C₂³	—	12	1	no	—
1134	Q₈	—	2	1	no	—
1135	Q₈	—	6	2	no	—
1136	Q₈	—	6	1	no	—
1137	Q₈	—	12	1	no	—
1138	Q₈	—	12	1	no	—
1139	D₄	—	2	2	no	—
1140	D₄	—	2	1	no	—
1141	D₄	—	4	1	no	—
1142	D₄	—	4	1	no	—
1143	D₄	—	6	1	no	—
1144	D₄	—	12	1	no	—
1145	D₄	—	12	1	no	—
1146	D₄	—	12	2	no	—
1147	D₄	—	12	1	no	—
1148	D₄	—	12	2	no	—
1149	D₄	—	12	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	3	1	no	—
1152	C₂×C₄	—	3	1	no	—
1153	C₂×C₄	—	3	1	no	—
1154	C₂×C₄	—	3	1	no	—
1155	C₂×C₄	—	3	1	no	—
1156	C₂×C₄	—	4	1	no	—
1157	C₂×C₄	—	4	1	no	—
1158	C₂×C₄	—	6	1	no	—
1159	C₂×C₄	—	8	2	no	—
1160	C₂×C₄	—	12	1	no	—
1161	C₂×C₄	—	12	1	no	—
1162	C₂×C₄	—	12	2	no	—
1163	C₂×C₄	—	12	2	no	—
1164	C₂×C₄	—	12	1	no	—
1165	C₂×C₄	—	12	1	no	—
1166	C₂×C₄	—	12	1	no	—
1167	C₂×C₄	—	12	1	no	—
1168	C₂×C₄	—	24	1	no	—
1169	C₂×C₄	—	24	2	no	—
1170	C₂×C₄	C₂×C₃×D₃×D₄	1	1	yes	characteristic
1171	C₈	—	2	1	no	—
1172	C₈	—	3	1	no	—
1173	C₈	—	3	1	no	—
1174	C₈	—	4	1	no	—
1175	C₈	—	6	1	no	—
1176	C₈	—	12	1	no	—
1177	C₈	C₂²×C₃×C₄×D₃	1	1	yes	characteristic
1178	C₈	C₃×D₃×#41	1	1	yes	characteristic
1179	C₂×C₃	—	2	1	no	—
1180	C₂×C₃	—	2	1	no	—
1181	C₂×C₃	—	2	1	no	—
1182	C₂×C₃	—	4	1	no	—
1183	C₂×C₃	—	6	1	no	—
1184	C₂×C₃	—	6	1	no	—
1185	C₂×C₃	—	8	2	no	—
1186	C₂×C₃	—	8	1	no	—
1187	C₂×C₃	—	8	1	no	—
1188	C₂×C₃	—	8	2	no	—
1189	C₂×C₃	—	16	2	no	—
1190	C₂×C₃	—	16	1	no	—
1191	C₂×C₃	—	24	1	no	—
1192	C₂×C₃	D₃×#442	1	1	yes	characteristic
1193	C₂×C₃	C₂×C₃×#442	1	1	yes	characteristic
1194	D₃	—	2	1	no	—
1195	D₃	—	2	1	no	—
1196	D₃	—	8	1	no	—
1197	C₂²	—	3	1	no	—
1198	C₂²	—	3	1	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	4	2	no	—
1201	C₂²	—	8	1	no	—
1202	C₂²	—	8	1	no	—
1203	C₂²	—	12	1	no	—
1204	C₂²	—	12	1	no	—
1205	C₂²	—	24	2	no	—
1206	C₂²	C₃×D₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1207	C₄	—	3	1	no	—
1208	C₄	—	3	1	no	—
1209	C₄	—	4	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	8	1	no	—
1212	C₄	—	12	1	no	—
1213	C₄	—	12	2	no	—
1214	C₄	—	12	1	no	—
1215	C₄	—	24	1	no	—
1216	C₄	C₃×C₄×D₃×D₄	1	1	yes	characteristic
1217	C₄	C₃×D₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1218	C₃	—	2	1	no	—
1219	C₃	C₃×#33468	1	1	yes	characteristic, complemented
1220	C₃	#10948634	1	1	yes	characteristic, direct product factor
1221	C₂	—	2	1	no	—
1222	C₂	—	6	1	no	—
1223	C₂	—	6	1	no	—
1224	C₂	—	8	2	no	—
1225	C₂	—	8	1	no	—
1226	C₂	—	24	1	no	—
1227	C₂	C₃×D₃×#442	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃	D₃×#442
commutator	C₃×C₈	C₂³×C₃×C₄
Frattini	C₂×C₈	C₂³×C₃×D₃
Fitting	C₃²×AGL(1,ℤ/16)	C₂
socle	C₂×C₃²	C₂×#442
prime radical	C₃×#82035	C₂
cosocle	C₂×C₃×C₈	C₂⁴×C₃
hypercenter	C₃×AGL(1,ℤ/16)	D₃
hypocenter	C₃	C₃×#33468
LCS	G ▷ C₃×C₈ ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃ ◁ C₂×C₃×C₄ ◁ C₃×#97 ◁ C₃×AGL(1,ℤ/16)

Complements

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

N	H ≅ G/N	type
2. C₃×D₃×#444	C₂	semidirect
3. C₃×#79864	C₂	semidirect
4. C₃×#69254	C₂	semidirect
5. C₃×#71515	C₂	semidirect
6. C₃×#70918	C₂	semidirect
7. C₃×#69090	C₂	semidirect
8. C₃×#70928	C₂	semidirect
9. C₃×#69309	C₂	semidirect
10. C₃×#69248	C₂	semidirect
11. C₃×#69312	C₂	semidirect
12. C₃×#69256	C₂	semidirect
13. C₃×#69251	C₂	semidirect
14. C₃×D₃×#347	C₂	semidirect
15. C₃²×AGL(1,ℤ/16)	C₂	semidirect
16. #10948634	C₃	direct (N × H)
24. C₃²×#442	C₂²	semidirect
27. C₃×#5152	C₂²	semidirect
31. C₃×#4916	C₄	semidirect
32. C₃×#4915	C₄	semidirect
33. C₃×#4912	C₄	semidirect
34. C₃×#4911	C₄	semidirect
41. C₃×#4853	C₂²	semidirect
47. C₃×#4716	C₂²	semidirect
49. C₃²×#365	C₂²	semidirect
50. C₃²×#361	C₂²	semidirect
52. C₃²×#347	C₂²	semidirect
54. C₃×#4563	C₂²	semidirect
56. C₃×#4517	C₂²	semidirect
57. C₃×#4513	C₂²	semidirect
58. C₃×#4512	C₂²	semidirect
59. C₃×#4512	C₂²	semidirect
60. C₃×#4496	C₂²	semidirect
61. C₃×#4494	C₂²	semidirect
63. C₃×#4487	C₂²	semidirect
64. C₃×#4466	C₂²	semidirect
69. D₃×#444	C₂×C₃	semidirect
70. #79864	C₂×C₃	semidirect
75. C₃×AGL(1,ℤ/16)	D₃	semidirect
76. C₃×AGL(1,ℤ/16)	C₂×C₃	semidirect
85. #71515	C₂×C₃	semidirect
86. #70928	C₂×C₃	semidirect
87. #70918	C₂×C₃	semidirect
88. #69312	C₂×C₃	semidirect
89. #69309	C₂×C₃	semidirect
90. #69256	C₂×C₃	semidirect
91. #69254	C₂×C₃	semidirect
92. #69251	C₂×C₃	semidirect
93. #69248	C₂×C₃	semidirect
94. #69090	C₂×C₃	semidirect
95. D₃×#347	C₂×C₃	semidirect
108. C₃×#919	C₂×C₄	semidirect
109. C₃×D₃×Q₁₆	C₂×C₄	semidirect
116. C₃×#912	C₂×C₄	semidirect
117. C₃×D₃×D₈	C₂×C₄	semidirect
135. C₃²×SD₃₂	C₂×C₄	semidirect
136. C₃²×D₁₆	C₂×C₄	semidirect
146. C₃×#829	C₂×C₄	semidirect
147. C₃×#827	C₂×C₄	semidirect
148. C₃×#827	C₂×C₄	semidirect
149. C₃×#826	C₂×C₄	semidirect
163. C₃×Dic₂₄	C₂×C₄	semidirect
164. C₃×#800	C₂×C₄	semidirect
166. C₃×#798	C₂×C₄	semidirect
168. C₃×D₃×C₁₆	C₂×C₄	semidirect
200. C₃×#442	C₂×D₃	semidirect
201. C₃×#442	C₂²×C₃	semidirect
213. #5152	C₂²×C₃	semidirect
217. #4916	C₃×C₄	semidirect
218. #4915	C₃×C₄	semidirect
219. #4912	C₃×C₄	semidirect
220. #4911	C₃×C₄	semidirect
227. #4853	C₂²×C₃	semidirect
233. #4716	C₂²×C₃	semidirect
239. C₃×#365	C₂×D₃	semidirect
240. C₃×#365	C₂²×C₃	semidirect
245. C₃×#361	C₂×D₃	semidirect
246. C₃×#361	C₂²×C₃	semidirect
257. C₃×#347	C₂×D₃	semidirect
258. C₃×#347	C₂²×C₃	semidirect
260. #4563	C₂²×C₃	semidirect
262. #4517	C₂²×C₃	semidirect
263. #4513	C₂²×C₃	semidirect
264. #4512	C₂²×C₃	semidirect
265. #4512	C₂²×C₃	semidirect
266. #4496	C₂²×C₃	semidirect
267. #4494	C₂²×C₃	semidirect
269. #4487	C₂²×C₃	semidirect
270. #4466	C₂²×C₃	semidirect
354. AGL(1,ℤ/16)	C₃×D₃	semidirect
418. #919	C₂×C₃×C₄	semidirect
419. D₃×Q₁₆	C₂×C₃×C₄	semidirect
426. #912	C₂×C₃×C₄	semidirect
427. D₃×D₈	C₂×C₃×C₄	semidirect
451. C₃×SD₃₂	C₄×D₃	semidirect
452. C₃×SD₃₂	C₂×C₃×C₄	semidirect
455. C₃×D₁₆	C₄×D₃	semidirect
456. C₃×D₁₆	C₂×C₃×C₄	semidirect
499. #829	C₂×C₃×C₄	semidirect
500. #827	C₂×C₃×C₄	semidirect
501. #827	C₂×C₃×C₄	semidirect
502. #826	C₂×C₃×C₄	semidirect
516. Dic₂₄	C₂×C₃×C₄	semidirect
517. #800	C₂×C₃×C₄	semidirect
519. #798	C₂×C₃×C₄	semidirect
521. D₃×C₁₆	C₂×C₃×C₄	semidirect
591. #442	C₂×C₃×D₃	semidirect
604. #365	C₂×C₃×D₃	semidirect
608. #361	C₂×C₃×D₃	semidirect
616. #347	C₂×C₃×D₃	semidirect
854. SD₃₂	C₃×C₄×D₃	semidirect
856. D₁₆	C₃×C₄×D₃	semidirect
1130. C₃²	#33468	semidirect
1219. C₃	C₃×#33468	semidirect
1220. C₃	#10948634	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×#82035	2
C₃×D₃×#444	2
C₃×#79864	2
C₃×#69254	2
C₃×#71515	2
C₃×#70918	2
C₃×#69090	2
C₃×#70928	2
C₃×#69309	2
C₃×#69248	2
C₃×#69312	2
C₃×#69256	2
C₃×#69251	2
C₃×D₃×#347	2
C₃²×AGL(1,ℤ/16)	2
#10948634	3
C₃×#33468	3

Subgroups — C3×#10948634 #72222758

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10948634 #72222758