Subgroups — C₃×#87115 #11910364

Order 1152.

2214 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#563	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5735	C₂	1	2	yes	maximal, complemented
3	C₃×#5725	C₂	1	2	yes	maximal, complemented
4	C₃×#5711	C₂	1	4	yes	maximal, complemented
5	C₃×#5706	C₂	1	4	yes	maximal, complemented
6	C₃×#5700	C₂	1	2	yes	maximal, complemented
7	C₃×#5691	C₂	1	2	yes	maximal, complemented
8	C₃×#5683	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5668	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5666	C₂	1	2	yes	maximal, complemented
11	C₃×#5656	C₂	1	2	yes	maximal, complemented
12	C₃×#5647	C₂	1	4	yes	maximal, complemented
13	C₃×#5627	C₂	1	4	yes	maximal, complemented
14	C₃×#3529	—	3	1	no	maximal
15	#87115	C₃	1	1	yes	maximal, characteristic, direct product factor
16	C₂×C₃×#239	C₂²	1	2	yes	—
17	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
18	C₂×C₃×#237	C₂²	1	1	yes	characteristic
19	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
20	C₃²×C₄⋊Q₈	C₂²	1	2	yes	complemented
21	C₃²×#126	C₂²	1	4	yes	complemented
22	C₃²×#125	C₂²	1	2	yes	complemented
23	C₃²×#124	C₂²	1	1	yes	characteristic
24	C₃²×#123	C₂²	1	2	yes	—
25	C₃²×C₂²⋊Q₈	C₂²	1	4	yes	complemented
26	C₃×#947	C₂²	1	2	yes	—
27	C₃×#947	C₂²	1	2	yes	complemented
28	C₃×#946	C₂²	1	4	yes	complemented
29	C₃×#944	C₂²	1	1	yes	characteristic, complemented
30	C₃×#940	C₂²	1	1	yes	characteristic
31	C₃×#937	C₂²	1	2	yes	—
32	C₃×#930	C₂²	1	4	yes	—
33	C₃×#929	C₂²	1	2	yes	complemented
34	C₃×#898	C₂²	1	4	yes	complemented
35	C₃×#897	C₂²	1	2	yes	complemented
36	C₃×#896	C₂²	1	4	yes	complemented
37	C₃×#896	C₂²	1	4	yes	complemented
38	C₃×#895	C₂²	1	4	yes	—
39	C₃×#895	C₂²	1	2	yes	—
40	C₃×#895	C₂²	1	4	yes	complemented
41	C₃×#895	C₂²	1	4	yes	complemented
42	C₃×#894	C₂²	1	4	yes	—
43	C₃×#894	C₂²	1	4	yes	complemented
44	C₃×#894	C₂²	1	4	yes	complemented
45	C₃×#894	C₂²	1	4	yes	complemented
46	C₃×#893	C₂²	1	2	yes	—
47	C₃×#893	C₂²	1	4	yes	complemented
48	C₃×#893	C₂²	1	4	yes	complemented
49	C₃×#892	C₂²	1	4	yes	complemented
50	C₃×#889	C₂²	1	4	yes	complemented
51	C₃×#887	C₂²	1	2	yes	complemented
52	C₃×#885	C₂²	1	4	yes	—
53	C₃×#884	C₂²	1	4	yes	—
54	C₃×#884	C₂²	1	4	yes	—
55	C₃×#884	C₂²	1	4	yes	complemented
56	C₃×#883	C₂²	1	4	yes	complemented
57	C₃×#882	C₂²	1	4	yes	—
58	C₃×#882	C₂²	1	4	yes	complemented
59	C₃×#882	C₂²	1	2	yes	complemented
60	C₃×#67⋊C₄	C₂²	1	4	yes	—
61	C₃×#67⋊C₄	C₂²	1	4	yes	complemented
62	C₃×#877	C₂²	1	2	yes	complemented
63	C₃×#876	C₂²	1	4	yes	complemented
64	C₃×#875	C₂²	1	2	yes	—
65	C₃×#875	C₂²	1	1	yes	characteristic, complemented
66	C₃×#874	C₂²	1	2	yes	—
67	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
68	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
69	C₃×#563	—	2	1	no	—
70	C₃×#563	—	3	2	no	—
71	C₃×#563	D₃	1	1	yes	characteristic, complemented
72	C₃×#563	C₂×C₃	1	1	yes	characteristic, complemented
73	C₃×#562	—	3	2	no	—
74	C₃×#562	—	3	4	no	—
75	C₃×H(3,𝔽₄)	—	3	1	no	—
76	C₃×#560	—	3	4	no	—
77	C₃×#560	—	3	2	no	—
78	C₃×#532	—	3	2	no	—
79	C₃×#532	—	3	1	no	—
80	C₃×#529	—	3	4	no	—
81	C₃×#529	—	3	2	no	—
82	C₃×#525	—	3	2	no	—
83	C₃×#525	—	3	4	no	—
84	#5735	C₂×C₃	1	2	yes	complemented
85	#5725	C₂×C₃	1	2	yes	complemented
86	#5711	C₂×C₃	1	4	yes	complemented
87	#5706	C₂×C₃	1	4	yes	complemented
88	#5700	C₂×C₃	1	2	yes	complemented
89	#5691	C₂×C₃	1	2	yes	complemented
90	#5683	C₂×C₃	1	1	yes	characteristic, complemented
91	#5668	C₂×C₃	1	1	yes	characteristic, complemented
92	#5666	C₂×C₃	1	2	yes	complemented
93	#5656	C₂×C₃	1	2	yes	complemented
94	#5647	C₂×C₃	1	4	yes	complemented
95	#5627	C₂×C₃	1	4	yes	complemented
96	C₂³×C₃×D₃	C₂³	1	2	yes	—
97	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
98	C₂×C₃²×Q₈	C₂³	1	2	yes	—
99	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
100	C₂²×C₃²×C₄	C₂³	1	2	yes	—
101	C₂×C₃×#67	C₂³	1	4	yes	—
102	C₂×C₃×#67	C₂³	1	4	yes	—
103	C₂×C₃×#67	C₂³	1	2	yes	—
104	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
105	C₃×#239	—	4	4	no	—
106	C₃×#239	—	4	2	no	—
107	C₃×#237	—	4	2	no	—
108	C₂×C₃×D₁₂	C₂³	1	2	yes	—
109	C₂×C₃×D₁₂	C₂³	1	2	yes	—
110	C₂×C₃×D₁₂	C₂³	1	4	yes	—
111	C₂×C₃×D₁₂	C₂³	1	4	yes	—
112	C₂×C₃×D₁₂	C₂³	1	4	yes	—
113	C₂×C₃×D₁₂	C₂³	1	2	yes	—
114	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
115	C₂×C₃×C₄×D₃	—	4	4	no	—
116	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
117	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
118	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
119	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
120	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
121	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
122	C₂×C₃×Dic₆	C₂³	1	2	yes	—
123	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
124	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
125	C₃²×C₄⋊C₄	C₂³	1	4	yes	—
126	C₃²×C₄⋊C₄	C₂³	1	4	yes	—
127	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
128	C₃²×C₄⋊C₄	C₂³	1	4	yes	—
129	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
130	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
131	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
132	C₃²×C₄²	C₂³	1	1	yes	characteristic
133	C₃²×C₄²	C₂³	1	2	yes	—
134	C₃×#217	C₂³	1	2	yes	—
135	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
136	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
137	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
138	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
139	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
140	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
141	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
142	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
143	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
144	C₃×C₄⋊Dic₃	C₂³	1	4	yes	—
145	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
146	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
147	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
148	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
149	C₃×C₄×Dic₃	C₂³	1	4	yes	—
150	C₃×C₄×Dic₃	C₂³	1	2	yes	—
151	C₃×C₄×Dic₃	C₂³	1	2	yes	—
152	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
153	#3529	—	3	1	no	Sylow
154	C₂×C₃×#41	—	3	2	no	—
155	C₂×C₃×#41	—	3	1	no	—
156	C₂×C₃×#41	—	3	1	no	—
157	C₂³×C₃×C₄	—	3	2	no	—
158	C₂×#239	C₂²×C₃	1	2	yes	—
159	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
160	C₂×#237	C₂²×C₃	1	1	yes	characteristic
161	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
162	C₃×C₄⋊Q₈	—	2	2	no	—
163	C₃×C₄⋊Q₈	—	3	1	no	—
164	C₃×C₄⋊Q₈	C₂×D₃	1	2	yes	complemented
165	C₃×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
166	C₃×#127	—	3	1	no	—
167	C₃×#127	—	3	2	no	—
168	C₃×#126	—	2	4	no	—
169	C₃×#126	—	3	4	no	—
170	C₃×#126	—	3	4	no	—
171	C₃×#126	C₂×D₃	1	4	yes	complemented
172	C₃×#126	C₂²×C₃	1	4	yes	complemented
173	C₃×#125	—	2	2	no	—
174	C₃×#125	—	3	4	no	—
175	C₃×#125	C₂×D₃	1	2	yes	complemented
176	C₃×#125	C₂²×C₃	1	2	yes	complemented
177	C₃×#124	—	2	1	no	—
178	C₃×#124	—	3	2	no	—
179	C₃×#124	—	3	2	no	—
180	C₃×#124	—	3	4	no	—
181	C₃×#124	—	3	2	no	—
182	C₃×#124	—	3	1	no	—
183	C₃×#124	C₂×D₃	1	1	yes	characteristic
184	C₃×#124	C₂²×C₃	1	1	yes	characteristic
185	C₃×#123	—	2	2	no	—
186	C₃×#123	—	3	2	no	—
187	C₃×#123	—	3	4	no	—
188	C₃×#123	—	3	4	no	—
189	C₃×#123	—	3	4	no	—
190	C₃×#123	—	3	4	no	—
191	C₃×#123	—	3	4	no	—
192	C₃×#123	C₂×D₃	1	2	yes	—
193	C₃×#123	C₂²×C₃	1	2	yes	—
194	C₃×C₂²⋊Q₈	—	2	4	no	—
195	C₃×C₂²⋊Q₈	—	3	4	no	—
196	C₃×C₂²⋊Q₈	—	3	4	no	—
197	C₃×C₂²⋊Q₈	—	3	2	no	—
198	C₃×C₂²⋊Q₈	—	3	4	no	—
199	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
200	C₃×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
201	C₃×#121	—	3	4	no	—
202	C₃×#121	—	3	2	no	—
203	C₃×#121	—	3	4	no	—
204	C₃×#121	—	3	4	no	—
205	C₃×#121	—	3	4	no	—
206	C₃×#121	—	3	4	no	—
207	C₃×#121	—	3	4	no	—
208	C₃×#121	—	3	4	no	—
209	C₃×#120	—	3	2	no	—
210	C₃×#120	—	3	4	no	—
211	C₃×#120	—	3	2	no	—
212	C₃×#120	—	3	4	no	—
213	C₃×C₄×Q₈	—	3	2	no	—
214	C₃×C₄×D₄	—	3	2	no	—
215	C₃×C₄×D₄	—	3	4	no	—
216	C₃×C₄×D₄	—	3	4	no	—
217	C₃×C₄×D₄	—	3	4	no	—
218	C₃×C₄×D₄	—	3	4	no	—
219	C₃×#117	—	3	4	no	—
220	C₃×#117	—	3	2	no	—
221	C₂×C₃×C₄²	—	3	2	no	—
222	C₂×C₃×C₄²	—	3	1	no	—
223	#947	C₂²×C₃	1	2	yes	—
224	#947	C₂²×C₃	1	2	yes	complemented
225	#946	C₂²×C₃	1	4	yes	complemented
226	#944	C₂²×C₃	1	1	yes	characteristic, complemented
227	#940	C₂²×C₃	1	1	yes	characteristic
228	#937	C₂²×C₃	1	2	yes	—
229	#930	C₂²×C₃	1	4	yes	—
230	#929	C₂²×C₃	1	2	yes	complemented
231	#898	C₂²×C₃	1	4	yes	complemented
232	#897	C₂²×C₃	1	2	yes	complemented
233	#896	C₂²×C₃	1	4	yes	complemented
234	#896	C₂²×C₃	1	4	yes	complemented
235	#895	C₂²×C₃	1	2	yes	—
236	#895	C₂²×C₃	1	4	yes	—
237	#895	C₂²×C₃	1	4	yes	complemented
238	#895	C₂²×C₃	1	4	yes	complemented
239	#894	C₂²×C₃	1	4	yes	—
240	#894	C₂²×C₃	1	4	yes	complemented
241	#894	C₂²×C₃	1	4	yes	complemented
242	#894	C₂²×C₃	1	4	yes	complemented
243	#893	C₂²×C₃	1	2	yes	—
244	#893	C₂²×C₃	1	4	yes	complemented
245	#893	C₂²×C₃	1	4	yes	complemented
246	#892	C₂²×C₃	1	4	yes	complemented
247	#889	C₂²×C₃	1	4	yes	complemented
248	#887	C₂²×C₃	1	2	yes	complemented
249	#885	C₂²×C₃	1	4	yes	—
250	#884	C₂²×C₃	1	4	yes	—
251	#884	C₂²×C₃	1	4	yes	—
252	#884	C₂²×C₃	1	4	yes	complemented
253	#883	C₂²×C₃	1	4	yes	complemented
254	#882	C₂²×C₃	1	4	yes	—
255	#882	C₂²×C₃	1	2	yes	complemented
256	#882	C₂²×C₃	1	4	yes	complemented
257	#67⋊C₄	C₂²×C₃	1	4	yes	—
258	#67⋊C₄	C₂²×C₃	1	4	yes	complemented
259	#877	C₂²×C₃	1	2	yes	complemented
260	#876	C₂²×C₃	1	4	yes	complemented
261	#875	C₂²×C₃	1	2	yes	—
262	#875	C₂²×C₃	1	1	yes	characteristic, complemented
263	#874	C₂²×C₃	1	2	yes	—
264	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
265	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
266	C₂³×C₃²	C₂⁴	1	2	yes	—
267	C₂²×C₃×D₃	—	4	4	no	—
268	C₂²×C₃×D₃	—	4	2	no	—
269	C₂²×C₃×D₃	C₂⁴	1	4	yes	—
270	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
271	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
272	C₃²×Q₈	—	4	1	no	—
273	C₃²×Q₈	—	4	2	no	—
274	C₃²×D₄	—	4	1	no	—
275	C₂×C₃²×C₄	—	4	2	no	—
276	C₂×C₃²×C₄	C₂⁴	1	4	yes	—
277	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
278	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
279	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
280	C₂×C₃²×C₄	C₂⁴	1	4	yes	—
281	C₃×#67	—	4	2	no	—
282	C₃×#67	—	4	4	no	—
283	C₃×#67	—	4	4	no	—
284	C₂×C₃×Dic₃	—	2	4	no	—
285	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
286	C₂×C₃×Dic₃	C₂⁴	1	4	yes	—
287	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
288	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
289	C₃×D₁₂	—	4	2	no	—
290	C₃×D₁₂	—	4	4	no	—
291	C₃×D₁₂	—	4	4	no	—
292	C₃×D₁₂	—	4	1	no	—
293	C₃×D₁₂	—	4	4	no	—
294	C₃×D₁₂	—	4	2	no	—
295	C₃×D₁₂	—	4	2	no	—
296	C₃×C₄×D₃	—	2	8	no	—
297	C₃×C₄×D₃	—	2	2	no	—
298	C₃×C₄×D₃	—	2	4	no	—
299	C₃×C₄×D₃	—	4	4	no	—
300	C₃×C₄×D₃	—	4	4	no	—
301	C₃×C₄×D₃	—	4	2	no	—
302	C₃×Dic₆	—	4	2	no	—
303	C₃×Dic₆	—	4	1	no	—
304	#563	—	3	2	no	—
305	#563	C₃×D₃	1	1	yes	characteristic, complemented
306	#562	—	3	2	no	—
307	#562	—	3	4	no	—
308	H(3,𝔽₄)	—	3	1	no	—
309	#560	—	3	4	no	—
310	#560	—	3	2	no	—
311	#532	—	3	2	no	—
312	#532	—	3	1	no	—
313	#529	—	3	4	no	—
314	#529	—	3	2	no	—
315	#525	—	3	2	no	—
316	#525	—	3	4	no	—
317	C₂⁴×C₃	—	3	2	no	—
318	C₂³×D₃	C₂³×C₃	1	2	yes	—
319	C₃×#41	—	12	2	no	—
320	C₃×#41	—	12	4	no	—
321	C₃×#41	—	12	2	no	—
322	C₂×C₃×Q₈	—	2	2	no	—
323	C₂×C₃×Q₈	—	2	1	no	—
324	C₂×C₃×Q₈	—	3	2	no	—
325	C₂×C₃×Q₈	—	3	1	no	—
326	C₂×C₃×Q₈	C₂²×D₃	1	2	yes	—
327	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
328	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
329	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
330	C₂×C₃×D₄	—	2	1	no	—
331	C₂×C₃×D₄	—	3	4	no	—
332	C₂×C₃×D₄	—	3	4	no	—
333	C₂×C₃×D₄	—	3	2	no	—
334	C₂×C₃×D₄	—	3	2	no	—
335	C₂×C₃×D₄	—	3	4	no	—
336	C₂×C₃×D₄	—	3	4	no	—
337	C₂×C₃×D₄	—	3	2	no	—
338	C₂×C₃×D₄	—	3	4	no	—
339	C₂×C₃×D₄	—	3	1	no	—
340	C₂×C₃×D₄	—	3	2	no	—
341	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
342	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
343	C₂²×C₃×C₄	—	2	2	no	—
344	C₂²×C₃×C₄	—	3	2	no	—
345	C₂²×C₃×C₄	—	3	1	no	—
346	C₂²×C₃×C₄	—	3	2	no	—
347	C₂²×C₃×C₄	—	3	4	no	—
348	C₂²×C₃×C₄	—	3	4	no	—
349	C₂²×C₃×C₄	—	3	2	no	—
350	C₂²×C₃×C₄	—	3	4	no	—
351	C₂²×C₃×C₄	—	12	4	no	—
352	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
353	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
354	C₂×#67	C₂³×C₃	1	4	yes	—
355	C₂×#67	C₂³×C₃	1	4	yes	—
356	C₂×#67	C₂³×C₃	1	2	yes	—
357	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
358	#239	—	4	4	no	—
359	#239	—	4	2	no	—
360	#237	—	4	2	no	—
361	C₂×D₁₂	C₂³×C₃	1	2	yes	—
362	C₂×D₁₂	C₂³×C₃	1	4	yes	—
363	C₂×D₁₂	C₂³×C₃	1	4	yes	—
364	C₂×D₁₂	C₂³×C₃	1	2	yes	—
365	C₂×D₁₂	C₂³×C₃	1	2	yes	—
366	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
367	C₂×D₁₂	C₂³×C₃	1	4	yes	—
368	C₂×C₄×D₃	—	4	4	no	—
369	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
370	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
371	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
372	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
373	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
374	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
375	C₂×Dic₆	C₂³×C₃	1	2	yes	—
376	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
377	C₃×C₄⋊C₄	—	2	2	no	—
378	C₃×C₄⋊C₄	—	2	4	no	—
379	C₃×C₄⋊C₄	—	2	4	no	—
380	C₃×C₄⋊C₄	—	2	4	no	—
381	C₃×C₄⋊C₄	—	2	2	no	—
382	C₃×C₄⋊C₄	—	3	4	no	—
383	C₃×C₄⋊C₄	—	3	4	no	—
384	C₃×C₄⋊C₄	—	3	4	no	—
385	C₃×C₄⋊C₄	—	3	4	no	—
386	C₃×C₄⋊C₄	—	3	4	no	—
387	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
388	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
389	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
390	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
391	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
392	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
393	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	—
394	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	—
395	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
396	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	—
397	C₃×C₂²⋊C₄	—	2	4	no	—
398	C₃×C₂²⋊C₄	—	2	4	no	—
399	C₃×C₂²⋊C₄	—	2	2	no	—
400	C₃×C₂²⋊C₄	—	3	2	no	—
401	C₃×C₂²⋊C₄	—	3	4	no	—
402	C₃×C₂²⋊C₄	—	3	4	no	—
403	C₃×C₂²⋊C₄	—	3	4	no	—
404	C₃×C₂²⋊C₄	—	3	4	no	—
405	C₃×C₂²⋊C₄	—	3	4	no	—
406	C₃×C₂²⋊C₄	—	3	4	no	—
407	C₃×C₂²⋊C₄	—	3	4	no	—
408	C₃×C₂²⋊C₄	—	3	4	no	—
409	C₃×C₂²⋊C₄	—	3	4	no	—
410	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
411	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
412	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
413	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
414	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
415	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
416	C₃×C₄²	—	2	1	no	—
417	C₃×C₄²	—	2	2	no	—
418	C₃×C₄²	—	3	4	no	—
419	C₃×C₄²	—	3	2	no	—
420	C₃×C₄²	—	3	2	no	—
421	C₃×C₄²	—	3	1	no	—
422	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
423	C₃×C₄²	C₂²×D₃	1	2	yes	—
424	C₃×C₄²	C₂³×C₃	1	2	yes	—
425	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
426	#217	C₂³×C₃	1	2	yes	—
427	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
428	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
429	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
430	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
431	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
432	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
433	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
434	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
435	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
436	C₄⋊Dic₃	C₂³×C₃	1	4	yes	—
437	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
438	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
439	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
440	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
441	C₄×Dic₃	C₂³×C₃	1	4	yes	—
442	C₄×Dic₃	C₂³×C₃	1	2	yes	—
443	C₄×Dic₃	C₂³×C₃	1	2	yes	—
444	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
445	C₂²×C₃²	—	2	2	no	—
446	C₂²×C₃²	—	2	4	no	—
447	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
448	C₂×C₃×D₃	—	2	4	no	—
449	C₂×C₃×D₃	—	2	2	no	—
450	C₂×C₃×D₃	—	2	1	no	—
451	C₂×C₃×D₃	—	2	2	no	—
452	C₂×C₃×D₃	—	2	4	no	—
453	C₂×C₃×D₃	—	2	4	no	—
454	C₂×C₃×D₃	—	2	4	no	—
455	C₂×C₃×D₃	—	4	8	no	—
456	C₃²×C₄	—	2	1	no	—
457	C₃²×C₄	—	2	4	no	—
458	C₃²×C₄	—	2	2	no	—
459	C₃²×C₄	—	2	2	no	—
460	C₃²×C₄	—	2	4	no	—
461	C₃×Dic₃	—	2	2	no	—
462	C₃×Dic₃	—	2	4	no	—
463	C₃×Dic₃	—	2	2	no	—
464	C₃×Dic₃	H(5,𝔽₂)	1	2	yes	—
465	C₂×#41	—	3	2	no	—
466	C₂×#41	—	3	1	no	—
467	C₂×#41	—	3	1	no	—
468	C₂³×C₄	—	3	2	no	—
469	C₄⋊Q₈	—	3	1	no	—
470	C₄⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
471	#127	—	3	1	no	—
472	#127	—	3	2	no	—
473	#126	—	3	4	no	—
474	#126	—	3	4	no	—
475	#126	C₂×C₃×D₃	1	4	yes	complemented
476	#125	—	3	4	no	—
477	#125	C₂×C₃×D₃	1	2	yes	complemented
478	#124	—	3	2	no	—
479	#124	—	3	2	no	—
480	#124	—	3	4	no	—
481	#124	—	3	2	no	—
482	#124	—	3	1	no	—
483	#124	C₂×C₃×D₃	1	1	yes	characteristic
484	#123	—	3	2	no	—
485	#123	—	3	4	no	—
486	#123	—	3	4	no	—
487	#123	—	3	4	no	—
488	#123	—	3	4	no	—
489	#123	—	3	4	no	—
490	#123	C₂×C₃×D₃	1	2	yes	—
491	C₂²⋊Q₈	—	3	4	no	—
492	C₂²⋊Q₈	—	3	4	no	—
493	C₂²⋊Q₈	—	3	4	no	—
494	C₂²⋊Q₈	—	3	2	no	—
495	C₂²⋊Q₈	C₂×C₃×D₃	1	4	yes	complemented
496	#121	—	3	4	no	—
497	#121	—	3	4	no	—
498	#121	—	3	2	no	—
499	#121	—	3	4	no	—
500	#121	—	3	4	no	—
501	#121	—	3	4	no	—
502	#121	—	3	4	no	—
503	#121	—	3	4	no	—
504	#120	—	3	2	no	—
505	#120	—	3	4	no	—
506	#120	—	3	2	no	—
507	#120	—	3	4	no	—
508	C₄×Q₈	—	3	2	no	—
509	C₄×D₄	—	3	2	no	—
510	C₄×D₄	—	3	4	no	—
511	C₄×D₄	—	3	4	no	—
512	C₄×D₄	—	3	4	no	—
513	C₄×D₄	—	3	4	no	—
514	#117	—	3	4	no	—
515	#117	—	3	2	no	—
516	C₂×C₄²	—	3	2	no	—
517	C₂×C₄²	—	3	1	no	—
518	C₂³×C₃	—	2	2	no	—
519	C₂³×C₃	—	3	4	no	—
520	C₂³×C₃	—	3	2	no	—
521	C₂³×C₃	—	3	1	no	—
522	C₂³×C₃	—	12	2	no	—
523	C₂³×C₃	—	12	4	no	—
524	C₂³×C₃	C₂³×D₃	1	2	yes	—
525	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
526	C₂²×D₃	—	4	2	no	—
527	C₂²×D₃	—	4	4	no	—
528	C₂²×D₃	C₂⁴×C₃	1	4	yes	—
529	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
530	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
531	C₃×Q₈	—	4	1	no	—
532	C₃×Q₈	—	4	2	no	—
533	C₃×Q₈	—	4	2	no	—
534	C₃×Q₈	—	4	1	no	—
535	C₃×Q₈	—	8	2	no	—
536	C₃×Q₈	—	8	1	no	—
537	C₃×Q₈	—	12	2	no	—
538	C₃×Q₈	—	12	1	no	—
539	C₃×D₄	—	4	1	no	—
540	C₃×D₄	—	4	1	no	—
541	C₃×D₄	—	8	1	no	—
542	C₃×D₄	—	12	4	no	—
543	C₃×D₄	—	12	4	no	—
544	C₃×D₄	—	12	2	no	—
545	C₃×D₄	—	12	4	no	—
546	C₃×D₄	—	12	1	no	—
547	C₃×D₄	—	12	2	no	—
548	C₃×D₄	—	12	2	no	—
549	C₃×D₄	—	12	4	no	—
550	C₃×D₄	—	12	4	no	—
551	C₃×D₄	—	12	2	no	—
552	C₂×C₃×C₄	—	2	2	no	—
553	C₂×C₃×C₄	—	2	4	no	—
554	C₂×C₃×C₄	—	2	2	no	—
555	C₂×C₃×C₄	—	2	1	no	—
556	C₂×C₃×C₄	—	2	4	no	—
557	C₂×C₃×C₄	—	3	1	no	—
558	C₂×C₃×C₄	—	3	4	no	—
559	C₂×C₃×C₄	—	3	2	no	—
560	C₂×C₃×C₄	—	3	2	no	—
561	C₂×C₃×C₄	—	4	2	no	—
562	C₂×C₃×C₄	—	4	2	no	—
563	C₂×C₃×C₄	—	6	8	no	—
564	C₂×C₃×C₄	—	6	2	no	—
565	C₂×C₃×C₄	—	6	4	no	—
566	C₂×C₃×C₄	—	6	4	no	—
567	C₂×C₃×C₄	—	8	2	no	—
568	C₂×C₃×C₄	—	12	4	no	—
569	C₂×C₃×C₄	—	12	2	no	—
570	C₂×C₃×C₄	—	12	4	no	—
571	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
572	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
573	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
574	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
575	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
576	C₂×C₃×C₄	C₂⁴×C₃	1	4	yes	—
577	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
578	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
579	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
580	C₂×C₃×C₄	C₂⁴×C₃	1	4	yes	—
581	#67	—	4	2	no	—
582	#67	—	4	4	no	—
583	#67	—	4	4	no	—
584	C₂×Dic₃	—	2	4	no	—
585	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
586	C₂×Dic₃	C₂⁴×C₃	1	4	yes	—
587	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
588	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
589	D₁₂	—	4	2	no	—
590	D₁₂	—	4	4	no	—
591	D₁₂	—	4	4	no	—
592	D₁₂	—	4	1	no	—
593	D₁₂	—	4	4	no	—
594	D₁₂	—	4	2	no	—
595	D₁₂	—	4	2	no	—
596	C₄×D₃	—	2	8	no	—
597	C₄×D₃	—	2	2	no	—
598	C₄×D₃	—	2	4	no	—
599	C₄×D₃	—	4	4	no	—
600	C₄×D₃	—	4	4	no	—
601	C₄×D₃	—	4	2	no	—
602	Dic₆	—	4	2	no	—
603	Dic₆	—	4	1	no	—
604	C₂×C₃²	—	4	2	no	—
605	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
606	C₂×C₃²	#585	1	2	yes	—
607	C₃×D₃	—	4	2	no	—
608	C₃×D₃	—	4	1	no	—
609	C₃×D₃	—	4	4	no	—
610	C₂⁴	—	3	2	no	—
611	#41	—	12	2	no	—
612	#41	—	12	4	no	—
613	#41	—	12	2	no	—
614	C₂×Q₈	—	3	2	no	—
615	C₂×Q₈	—	3	1	no	—
616	C₂×Q₈	C₂²×C₃×D₃	1	2	yes	—
617	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
618	C₂×D₄	—	3	4	no	—
619	C₂×D₄	—	3	4	no	—
620	C₂×D₄	—	3	2	no	—
621	C₂×D₄	—	3	2	no	—
622	C₂×D₄	—	3	4	no	—
623	C₂×D₄	—	3	4	no	—
624	C₂×D₄	—	3	2	no	—
625	C₂×D₄	—	3	4	no	—
626	C₂×D₄	—	3	1	no	—
627	C₂×D₄	—	3	2	no	—
628	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
629	C₂²×C₄	—	3	2	no	—
630	C₂²×C₄	—	3	1	no	—
631	C₂²×C₄	—	3	2	no	—
632	C₂²×C₄	—	3	4	no	—
633	C₂²×C₄	—	3	4	no	—
634	C₂²×C₄	—	3	2	no	—
635	C₂²×C₄	—	3	4	no	—
636	C₂²×C₄	—	12	4	no	—
637	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
638	C₄⋊C₄	—	3	4	no	—
639	C₄⋊C₄	—	3	4	no	—
640	C₄⋊C₄	—	3	4	no	—
641	C₄⋊C₄	—	3	4	no	—
642	C₄⋊C₄	—	3	4	no	—
643	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	—
644	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	—
645	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	—
646	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
647	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
648	C₂²⋊C₄	—	3	2	no	—
649	C₂²⋊C₄	—	3	4	no	—
650	C₂²⋊C₄	—	3	4	no	—
651	C₂²⋊C₄	—	3	4	no	—
652	C₂²⋊C₄	—	3	4	no	—
653	C₂²⋊C₄	—	3	4	no	—
654	C₂²⋊C₄	—	3	4	no	—
655	C₂²⋊C₄	—	3	4	no	—
656	C₂²⋊C₄	—	3	4	no	—
657	C₂²⋊C₄	—	3	4	no	—
658	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
659	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
660	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
661	C₄²	—	3	4	no	—
662	C₄²	—	3	2	no	—
663	C₄²	—	3	2	no	—
664	C₄²	—	3	1	no	—
665	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
666	C₄²	C₂²×C₃×D₃	1	2	yes	—
667	C₂²×C₃	—	2	2	no	—
668	C₂²×C₃	—	2	4	no	—
669	C₂²×C₃	—	2	2	no	—
670	C₂²×C₃	—	2	4	no	—
671	C₂²×C₃	—	2	1	no	—
672	C₂²×C₃	—	4	2	no	—
673	C₂²×C₃	—	4	4	no	—
674	C₂²×C₃	—	6	4	no	—
675	C₂²×C₃	—	6	2	no	—
676	C₂²×C₃	—	6	1	no	—
677	C₂²×C₃	—	6	2	no	—
678	C₂²×C₃	—	6	4	no	—
679	C₂²×C₃	—	6	4	no	—
680	C₂²×C₃	—	6	4	no	—
681	C₂²×C₃	—	12	8	no	—
682	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
683	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
684	C₂×D₃	—	2	4	no	—
685	C₂×D₃	—	2	2	no	—
686	C₂×D₃	—	2	1	no	—
687	C₂×D₃	—	2	2	no	—
688	C₂×D₃	—	2	4	no	—
689	C₂×D₃	—	2	4	no	—
690	C₂×D₃	—	2	4	no	—
691	C₂×D₃	—	4	8	no	—
692	C₃×C₄	—	2	4	no	—
693	C₃×C₄	—	2	1	no	—
694	C₃×C₄	—	2	2	no	—
695	C₃×C₄	—	2	4	no	—
696	C₃×C₄	—	2	2	no	—
697	C₃×C₄	—	2	1	no	—
698	C₃×C₄	—	2	4	no	—
699	C₃×C₄	—	2	2	no	—
700	C₃×C₄	—	2	2	no	—
701	C₃×C₄	—	2	4	no	—
702	C₃×C₄	—	3	2	no	—
703	C₃×C₄	—	4	4	no	—
704	C₃×C₄	—	4	1	no	—
705	C₃×C₄	—	4	2	no	—
706	C₃×C₄	—	4	4	no	—
707	C₃×C₄	—	4	2	no	—
708	C₃×C₄	—	6	2	no	—
709	C₃×C₄	—	6	2	no	—
710	C₃×C₄	—	6	4	no	—
711	Dic₃	—	2	2	no	—
712	Dic₃	—	2	4	no	—
713	Dic₃	—	2	2	no	—
714	Dic₃	C₃×H(5,𝔽₂)	1	2	yes	—
715	C₃²	#3529	1	1	yes	characteristic, complemented, Sylow
716	C₂³	—	3	4	no	—
717	C₂³	—	3	2	no	—
718	C₂³	—	3	1	no	—
719	C₂³	—	12	2	no	—
720	C₂³	—	12	4	no	—
721	C₂³	C₂³×C₃×D₃	1	2	yes	—
722	Q₈	—	4	2	no	—
723	Q₈	—	4	1	no	—
724	Q₈	—	12	1	no	—
725	Q₈	—	12	2	no	—
726	D₄	—	4	1	no	—
727	D₄	—	12	4	no	—
728	D₄	—	12	1	no	—
729	D₄	—	12	2	no	—
730	D₄	—	12	2	no	—
731	D₄	—	12	4	no	—
732	D₄	—	12	4	no	—
733	D₄	—	12	2	no	—
734	D₄	—	12	2	no	—
735	D₄	—	12	4	no	—
736	D₄	—	12	4	no	—
737	C₂×C₄	—	3	1	no	—
738	C₂×C₄	—	3	4	no	—
739	C₂×C₄	—	3	2	no	—
740	C₂×C₄	—	3	2	no	—
741	C₂×C₄	—	4	2	no	—
742	C₂×C₄	—	6	8	no	—
743	C₂×C₄	—	6	2	no	—
744	C₂×C₄	—	6	4	no	—
745	C₂×C₄	—	6	4	no	—
746	C₂×C₄	—	12	4	no	—
747	C₂×C₄	—	12	4	no	—
748	C₂×C₄	—	12	2	no	—
749	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
750	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
751	C₂×C₄	C₂³×C₃×D₃	1	4	yes	—
752	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
753	C₂×C₄	C₂³×C₃×D₃	1	4	yes	—
754	C₂×C₃	—	2	1	no	—
755	C₂×C₃	—	2	2	no	—
756	C₂×C₃	—	4	2	no	—
757	C₂×C₃	—	4	2	no	—
758	C₂×C₃	—	8	2	no	—
759	C₂×C₃	—	12	4	no	—
760	C₂×C₃	—	12	2	no	—
761	C₂×C₃	—	12	1	no	—
762	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
763	C₂×C₃	#5968	1	2	yes	—
764	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
765	C₂×C₃	C₃×#585	1	2	yes	—
766	D₃	—	4	4	no	—
767	D₃	—	4	2	no	—
768	D₃	—	4	1	no	—
769	C₂²	—	2	2	no	—
770	C₂²	—	2	4	no	—
771	C₂²	—	6	4	no	—
772	C₂²	—	6	2	no	—
773	C₂²	—	6	1	no	—
774	C₂²	—	6	2	no	—
775	C₂²	—	6	4	no	—
776	C₂²	—	6	4	no	—
777	C₂²	—	6	4	no	—
778	C₂²	—	12	8	no	—
779	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
780	C₄	—	2	4	no	—
781	C₄	—	2	1	no	—
782	C₄	—	2	2	no	—
783	C₄	—	2	4	no	—
784	C₄	—	2	2	no	—
785	C₄	—	3	2	no	—
786	C₄	—	6	2	no	—
787	C₄	—	6	2	no	—
788	C₄	—	6	4	no	—
789	C₃	—	2	1	no	—
790	C₃	#87115	1	1	yes	characteristic, direct product factor
791	C₃	C₃×#3529	1	1	yes	characteristic, complemented
792	C₂	—	4	2	no	—
793	C₂	—	12	4	no	—
794	C₂	—	12	2	no	—
795	C₂	—	12	1	no	—
796	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic
797	C₂	C₃×#5968	1	2	yes	—

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#563	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#563	D₃
hypocenter	C₃	C₃×#3529
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#563

Complements

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

N	H ≅ G/N	type
1. C₃²×#563	C₂	semidirect
2. C₃×#5735	C₂	semidirect
3. C₃×#5725	C₂	semidirect
4. C₃×#5711	C₂	semidirect
5. C₃×#5706	C₂	semidirect
6. C₃×#5700	C₂	semidirect
7. C₃×#5691	C₂	semidirect
8. C₃×#5683	C₂	semidirect
9. C₃×#5668	C₂	semidirect
10. C₃×#5666	C₂	semidirect
11. C₃×#5656	C₂	semidirect
12. C₃×#5647	C₂	semidirect
13. C₃×#5627	C₂	semidirect
15. #87115	C₃	direct (N × H)
17. C₂×C₃×#239	C₂²	semidirect
19. C₂²×C₃×C₄×D₃	C₂²	semidirect
20. C₃²×C₄⋊Q₈	C₂²	semidirect
21. C₃²×#126	C₂²	semidirect
22. C₃²×#125	C₂²	semidirect
25. C₃²×C₂²⋊Q₈	C₂²	semidirect
27. C₃×#947	C₂²	semidirect
28. C₃×#946	C₂²	semidirect
29. C₃×#944	C₂²	semidirect
33. C₃×#929	C₂²	semidirect
34. C₃×#898	C₂²	semidirect
35. C₃×#897	C₂²	semidirect
36. C₃×#896	C₂²	semidirect
37. C₃×#896	C₂²	semidirect
40. C₃×#895	C₂²	semidirect
41. C₃×#895	C₂²	semidirect
43. C₃×#894	C₂²	semidirect
44. C₃×#894	C₂²	semidirect
45. C₃×#894	C₂²	semidirect
47. C₃×#893	C₂²	semidirect
48. C₃×#893	C₂²	semidirect
49. C₃×#892	C₂²	semidirect
50. C₃×#889	C₂²	semidirect
51. C₃×#887	C₂²	semidirect
55. C₃×#884	C₂²	semidirect
56. C₃×#883	C₂²	semidirect
58. C₃×#882	C₂²	semidirect
59. C₃×#882	C₂²	semidirect
61. C₃×#67⋊C₄	C₂²	semidirect
62. C₃×#877	C₂²	semidirect
63. C₃×#876	C₂²	semidirect
65. C₃×#875	C₂²	semidirect
67. C₃×C₄²×D₃	C₂²	semidirect
68. C₃×C₄²×D₃	C₂²	semidirect
71. C₃×#563	D₃	semidirect
72. C₃×#563	C₂×C₃	semidirect
84. #5735	C₂×C₃	semidirect
85. #5725	C₂×C₃	semidirect
86. #5711	C₂×C₃	semidirect
87. #5706	C₂×C₃	semidirect
88. #5700	C₂×C₃	semidirect
89. #5691	C₂×C₃	semidirect
90. #5683	C₂×C₃	semidirect
91. #5668	C₂×C₃	semidirect
92. #5666	C₂×C₃	semidirect
93. #5656	C₂×C₃	semidirect
94. #5647	C₂×C₃	semidirect
95. #5627	C₂×C₃	semidirect
159. C₂×#239	C₂²×C₃	semidirect
161. C₂²×C₄×D₃	C₂²×C₃	semidirect
164. C₃×C₄⋊Q₈	C₂×D₃	semidirect
165. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
171. C₃×#126	C₂×D₃	semidirect
172. C₃×#126	C₂²×C₃	semidirect
175. C₃×#125	C₂×D₃	semidirect
176. C₃×#125	C₂²×C₃	semidirect
199. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
200. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
224. #947	C₂²×C₃	semidirect
225. #946	C₂²×C₃	semidirect
226. #944	C₂²×C₃	semidirect
230. #929	C₂²×C₃	semidirect
231. #898	C₂²×C₃	semidirect
232. #897	C₂²×C₃	semidirect
233. #896	C₂²×C₃	semidirect
234. #896	C₂²×C₃	semidirect
237. #895	C₂²×C₃	semidirect
238. #895	C₂²×C₃	semidirect
240. #894	C₂²×C₃	semidirect
241. #894	C₂²×C₃	semidirect
242. #894	C₂²×C₃	semidirect
244. #893	C₂²×C₃	semidirect
245. #893	C₂²×C₃	semidirect
246. #892	C₂²×C₃	semidirect
247. #889	C₂²×C₃	semidirect
248. #887	C₂²×C₃	semidirect
252. #884	C₂²×C₃	semidirect
253. #883	C₂²×C₃	semidirect
255. #882	C₂²×C₃	semidirect
256. #882	C₂²×C₃	semidirect
258. #67⋊C₄	C₂²×C₃	semidirect
259. #877	C₂²×C₃	semidirect
260. #876	C₂²×C₃	semidirect
262. #875	C₂²×C₃	semidirect
264. C₄²×D₃	C₂²×C₃	semidirect
265. C₄²×D₃	C₂²×C₃	semidirect
305. #563	C₃×D₃	semidirect
470. C₄⋊Q₈	C₂×C₃×D₃	semidirect
475. #126	C₂×C₃×D₃	semidirect
477. #125	C₂×C₃×D₃	semidirect
495. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
715. C₃²	#3529	semidirect
790. C₃	#87115	direct (N × H)
791. C₃	C₃×#3529	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃²×#563	2
C₃×#5735	2
C₃×#5725	2
C₃×#5711	2
C₃×#5706	2
C₃×#5700	2
C₃×#5691	2
C₃×#5683	2
C₃×#5668	2
C₃×#5666	2
C₃×#5656	2
C₃×#5647	2
C₃×#5627	2
C₃×#3529	3
#87115	3

Subgroups — C3×#87115 #11910364

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#87115 #11910364