Subgroups — C₃×D₃×#535 #11900980

Order 1152.

3959 conjugacy classes of subgroups.

The subgroup lattice has 1018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×#535	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5830	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5805	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5715	C₂	1	2	yes	maximal, complemented
7	C₃×D₃×#127	C₂	1	2	yes	maximal, complemented
8	C₃×#5674	C₂	1	2	yes	maximal, complemented
9	C₃×D₃×#124	C₂	1	2	yes	maximal, complemented
10	C₃×#5607	C₂	1	4	yes	maximal, complemented
11	C₃×D₃×#121	C₂	1	4	yes	maximal, complemented
12	C₃×#5592	C₂	1	4	yes	maximal, complemented
13	C₃×D₃×#120	C₂	1	4	yes	maximal, complemented
14	C₃×#5525	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₃×#535	—	3	1	no	maximal
17	D₃×#535	C₃	1	1	yes	maximal, characteristic, direct product factor
18	C₂⁴×C₃×D₃	C₂²	1	2	yes	—
19	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
20	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₃×#67	C₂²	1	2	yes	complemented
22	C₃×D₃×#41	—	2	8	no	—
23	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×#237	C₂²	1	2	yes	complemented
27	C₂×C₃×D₃×D₄	—	2	8	no	—
28	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
29	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
30	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
31	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
32	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
33	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃×D₃×D₄	C₂²	1	8	yes	complemented
35	C₂×C₃×#235	C₂²	1	2	yes	complemented
36	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
39	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
40	C₃²×#127	C₂²	1	2	yes	complemented
41	C₃²×#124	C₂²	1	2	yes	complemented
42	C₃²×#121	C₂²	1	4	yes	complemented
43	C₃²×#120	C₂²	1	4	yes	complemented
44	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
45	C₃×#953	C₂²	1	4	yes	complemented
46	C₃×#947	C₂²	1	2	yes	complemented
47	C₃×#940	C₂²	1	2	yes	complemented
48	C₃×#940	C₂²	1	8	yes	complemented
49	C₃×#940	C₂²	1	2	yes	complemented
50	C₃×#939	C₂²	1	8	yes	complemented
51	C₃×#938	C₂²	1	4	yes	complemented
52	C₃×#937	C₂²	1	8	yes	complemented
53	C₃×#937	C₂²	1	4	yes	complemented
54	C₃×#936	C₂²	1	2	yes	complemented
55	C₃×#930	C₂²	1	4	yes	complemented
56	C₃×#926	C₂²	1	1	yes	characteristic, complemented
57	C₃×#895	C₂²	1	4	yes	complemented
58	C₃×#892	C₂²	1	2	yes	complemented
59	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
60	C₃×#885	C₂²	1	8	yes	complemented
61	C₃×#884	C₂²	1	8	yes	complemented
62	C₃×#882	C₂²	1	8	yes	complemented
63	C₃×#882	C₂²	1	4	yes	complemented
64	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
65	C₃×D₃×C₂²⋊C₄	C₂²	1	8	yes	complemented
66	C₃×#877	C₂²	1	2	yes	complemented
67	C₃×#875	C₂²	1	2	yes	complemented
68	C₃×#874	C₂²	1	2	yes	complemented
69	C₃×#872	C₂²	1	2	yes	complemented
70	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
71	C₂²×C₃×#41	—	3	1	no	—
72	C₂³×C₃×D₄	—	3	1	no	—
73	C₂×D₃×#41	C₂×C₃	1	1	yes	characteristic, complemented
74	C₂²×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
75	C₃×#535	—	2	1	no	—
76	C₃×#535	—	3	1	no	—
77	C₃×#535	—	3	1	no	—
78	C₃×#535	—	3	2	no	—
79	C₃×#535	—	3	2	no	—
80	C₃×#535	—	3	4	no	—
81	C₃×#535	—	3	4	no	—
82	C₃×#535	—	3	1	no	—
83	C₃×#535	D₃	1	1	yes	characteristic, direct product factor
84	C₃×#535	C₂×C₃	1	1	yes	characteristic, complemented
85	C₂×C₃×#127	—	3	2	no	—
86	C₂×C₃×#124	—	3	2	no	—
87	C₂×C₃×#121	—	3	4	no	—
88	C₂×C₃×#120	—	3	4	no	—
89	C₂×C₃×#117	—	3	1	no	—
90	#5830	C₂×C₃	1	1	yes	characteristic, complemented
91	#5805	C₂×C₃	1	1	yes	characteristic, complemented
92	#5715	C₂×C₃	1	2	yes	complemented
93	D₃×#127	C₂×C₃	1	2	yes	complemented
94	#5674	C₂×C₃	1	2	yes	complemented
95	D₃×#124	C₂×C₃	1	2	yes	complemented
96	#5607	C₂×C₃	1	4	yes	complemented
97	D₃×#121	C₂×C₃	1	4	yes	complemented
98	#5592	C₂×C₃	1	4	yes	complemented
99	D₃×#120	C₂×C₃	1	4	yes	complemented
100	#5525	C₂×C₃	1	1	yes	characteristic, complemented
101	D₃×#117	C₂×C₃	1	1	yes	characteristic, complemented
102	C₂⁴×C₃²	C₂³	1	2	yes	—
103	C₂³×C₃×D₃	—	2	8	no	—
104	C₂³×C₃×D₃	—	4	8	no	—
105	C₂³×C₃×D₃	C₂³	1	4	yes	—
106	C₂³×C₃×D₃	C₂³	1	2	yes	—
107	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
108	C₂³×C₃×D₃	C₂³	1	2	yes	—
109	C₂³×C₃×D₃	C₂³	1	4	yes	—
110	C₃²×#41	—	2	4	no	—
111	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
112	C₂×C₃²×D₄	—	2	4	no	—
113	C₂×C₃²×D₄	C₂³	1	2	yes	—
114	C₂×C₃²×D₄	C₂³	1	2	yes	—
115	C₂×C₃²×D₄	C₂³	1	2	yes	—
116	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
117	C₂×C₃²×D₄	C₂³	1	8	yes	complemented
118	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
119	C₂²×C₃²×C₄	C₂³	1	2	yes	complemented
120	C₂×C₃×#67	—	2	8	no	—
121	C₂×C₃×#67	C₂³	1	2	yes	—
122	C₂×C₃×#67	C₂³	1	4	yes	—
123	C₂×C₃×#67	C₂³	1	4	yes	—
124	C₂×C₃×#67	C₂³	1	2	yes	—
125	C₂×C₃×#67	C₂³	1	2	yes	complemented
126	C₂×C₃×#67	C₂³	1	8	yes	complemented
127	C₂×C₃×#67	C₂³	1	8	yes	complemented
128	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
129	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
130	C₃×#239	—	2	4	no	—
131	C₃×D₃×Q₈	—	2	4	no	—
132	C₃×#237	—	2	8	no	—
133	C₃×#237	—	2	4	no	—
134	C₃×D₃×D₄	—	2	8	no	—
135	C₃×D₃×D₄	—	2	8	no	—
136	C₃×D₃×D₄	—	2	8	no	—
137	C₃×D₃×D₄	—	2	4	no	—
138	C₃×D₃×D₄	—	2	8	no	—
139	C₃×D₃×D₄	—	2	8	no	—
140	C₃×D₃×D₄	—	4	16	no	—
141	C₃×#235	—	2	4	no	—
142	C₃×#235	—	2	8	no	—
143	C₂×C₃×D₁₂	—	2	4	no	—
144	C₂×C₃×D₁₂	C₂³	1	2	yes	—
145	C₂×C₃×D₁₂	C₂³	1	2	yes	—
146	C₂×C₃×D₁₂	C₂³	1	2	yes	—
147	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
148	C₂×C₃×D₁₂	C₂³	1	8	yes	complemented
149	C₂×C₃×C₄×D₃	—	2	8	no	—
150	C₂×C₃×C₄×D₃	D₄	1	8	yes	complemented
151	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
152	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
153	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
154	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
155	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
156	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
157	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
158	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
159	C₂×C₃×Dic₆	C₂³	1	2	yes	complemented
160	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
161	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
162	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₃²×C₂²⋊C₄	C₂³	1	8	yes	complemented
164	C₃²×C₄²	C₂³	1	2	yes	complemented
165	C₃×#217	C₂³	1	2	yes	—
166	C₃×#217	C₂³	1	8	yes	complemented
167	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
168	C₃×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
169	C₃×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
170	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
171	C₃×Dic₃⋊C₄	C₂³	1	4	yes	complemented
172	C₃×C₄×Dic₃	C₂³	1	4	yes	complemented
173	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
174	C₂×#535	—	3	1	no	Sylow
175	C₂⁵×C₃	—	3	2	no	—
176	C₂⁴×D₃	C₂²×C₃	1	2	yes	—
177	C₂×C₃×#41	—	2	1	no	—
178	C₂×C₃×#41	—	3	1	no	—
179	C₂×C₃×#41	—	3	2	no	—
180	C₂×C₃×#41	—	3	1	no	—
181	C₂×C₃×#41	—	3	1	no	—
182	C₂×C₃×#41	—	3	2	no	—
183	C₂×C₃×#41	—	6	8	no	—
184	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
185	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic, complemented
186	C₂²×C₃×Q₈	—	3	1	no	—
187	C₂²×C₃×D₄	—	2	1	no	—
188	C₂²×C₃×D₄	—	3	2	no	—
189	C₂²×C₃×D₄	—	3	2	no	—
190	C₂²×C₃×D₄	—	3	2	no	—
191	C₂²×C₃×D₄	—	3	2	no	—
192	C₂²×C₃×D₄	—	3	2	no	—
193	C₂²×C₃×D₄	—	3	2	no	—
194	C₂²×C₃×D₄	—	3	1	no	—
195	C₂²×C₃×D₄	—	3	8	no	—
196	C₂²×C₃×D₄	—	3	1	no	—
197	C₂²×C₃×D₄	—	6	8	no	—
198	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
199	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
200	C₂³×C₃×C₄	—	3	1	no	—
201	C₂³×C₃×C₄	—	3	2	no	—
202	C₂²×#67	C₂²×C₃	1	2	yes	complemented
203	D₃×#41	—	2	8	no	—
204	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
205	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
206	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
207	C₂×#237	C₂²×C₃	1	2	yes	complemented
208	C₂×D₃×D₄	—	2	8	no	—
209	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
210	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
211	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
212	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
213	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
214	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
215	C₂×D₃×D₄	C₂²×C₃	1	8	yes	complemented
216	C₂×#235	C₂²×C₃	1	2	yes	complemented
217	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
218	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
219	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
220	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
221	C₃×#127	—	2	2	no	—
222	C₃×#127	—	3	2	no	—
223	C₃×#127	—	3	8	no	—
224	C₃×#127	—	3	2	no	—
225	C₃×#127	—	3	2	no	—
226	C₃×#127	C₂×D₃	1	2	yes	complemented
227	C₃×#127	C₂²×C₃	1	2	yes	complemented
228	C₃×#124	—	2	2	no	—
229	C₃×#124	—	3	2	no	—
230	C₃×#124	—	3	2	no	—
231	C₃×#124	—	3	8	no	—
232	C₃×#124	—	3	2	no	—
233	C₃×#124	C₂×D₃	1	2	yes	complemented
234	C₃×#124	C₂²×C₃	1	2	yes	complemented
235	C₃×#121	—	2	4	no	—
236	C₃×#121	—	3	4	no	—
237	C₃×#121	—	3	8	no	—
238	C₃×#121	—	3	4	no	—
239	C₃×#121	—	3	4	no	—
240	C₃×#121	—	3	8	no	—
241	C₃×#121	C₂×D₃	1	4	yes	complemented
242	C₃×#121	C₂²×C₃	1	4	yes	complemented
243	C₃×#120	—	2	4	no	—
244	C₃×#120	—	3	4	no	—
245	C₃×#120	—	3	4	no	—
246	C₃×#120	—	3	8	no	—
247	C₃×#120	—	3	4	no	—
248	C₃×#120	—	3	8	no	—
249	C₃×#120	C₂×D₃	1	4	yes	complemented
250	C₃×#120	C₂²×C₃	1	4	yes	complemented
251	C₃×#117	—	2	1	no	—
252	C₃×#117	—	3	1	no	—
253	C₃×#117	—	3	2	no	—
254	C₃×#117	—	3	2	no	—
255	C₃×#117	—	3	2	no	—
256	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
257	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
258	C₂×C₃×C₄⋊C₄	—	3	2	no	—
259	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
260	C₂×C₃×C₂²⋊C₄	—	3	8	no	—
261	C₂×C₃×C₄²	—	3	2	no	—
262	#953	C₂²×C₃	1	4	yes	complemented
263	#947	C₂²×C₃	1	2	yes	complemented
264	#940	C₂²×C₃	1	2	yes	complemented
265	#940	C₂²×C₃	1	8	yes	complemented
266	#940	C₂²×C₃	1	2	yes	complemented
267	#939	C₂²×C₃	1	8	yes	complemented
268	#938	C₂²×C₃	1	4	yes	complemented
269	#937	C₂²×C₃	1	8	yes	complemented
270	#937	C₂²×C₃	1	4	yes	complemented
271	#936	C₂²×C₃	1	2	yes	complemented
272	#930	C₂²×C₃	1	4	yes	complemented
273	#926	C₂²×C₃	1	1	yes	characteristic, complemented
274	#895	C₂²×C₃	1	4	yes	complemented
275	#892	C₂²×C₃	1	2	yes	complemented
276	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
277	#885	C₂²×C₃	1	8	yes	complemented
278	#884	C₂²×C₃	1	8	yes	complemented
279	#882	C₂²×C₃	1	8	yes	complemented
280	#882	C₂²×C₃	1	4	yes	complemented
281	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
282	D₃×C₂²⋊C₄	C₂²×C₃	1	8	yes	complemented
283	#877	C₂²×C₃	1	2	yes	complemented
284	#875	C₂²×C₃	1	2	yes	complemented
285	#874	C₂²×C₃	1	2	yes	complemented
286	#872	C₂²×C₃	1	2	yes	complemented
287	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
288	C₂³×C₃²	—	2	4	no	—
289	C₂³×C₃²	—	4	4	no	—
290	C₂³×C₃²	C₂⁴	1	4	yes	—
291	C₂³×C₃²	C₂⁴	1	2	yes	—
292	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
293	C₂²×C₃×D₃	—	2	4	no	—
294	C₂²×C₃×D₃	—	2	4	no	—
295	C₂²×C₃×D₃	—	2	8	no	—
296	C₂²×C₃×D₃	—	2	8	no	—
297	C₂²×C₃×D₃	—	2	4	no	—
298	C₂²×C₃×D₃	—	2	16	no	—
299	C₂²×C₃×D₃	—	2	8	no	—
300	C₂²×C₃×D₃	—	4	8	no	—
301	C₂²×C₃×D₃	—	4	4	no	—
302	C₂²×C₃×D₃	—	4	32	no	—
303	C₂²×C₃×D₃	C₂×D₄	1	4	yes	—
304	C₂²×C₃×D₃	C₂⁴	1	4	yes	—
305	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
306	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
308	C₃²×Q₈	—	2	2	no	—
309	C₃²×D₄	—	2	4	no	—
310	C₃²×D₄	—	2	4	no	—
311	C₃²×D₄	—	2	4	no	—
312	C₃²×D₄	—	2	2	no	—
313	C₃²×D₄	—	4	8	no	—
314	C₂×C₃²×C₄	—	2	4	no	—
315	C₂×C₃²×C₄	C₂×D₄	1	4	yes	complemented
316	C₂×C₃²×C₄	C₂⁴	1	4	yes	—
317	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
318	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
319	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
320	C₃×#67	—	2	4	no	—
321	C₃×#67	—	2	4	no	—
322	C₃×#67	—	2	4	no	—
323	C₃×#67	—	2	8	no	—
324	C₃×#67	—	2	8	no	—
325	C₃×#67	—	4	8	no	—
326	C₃×#67	—	4	8	no	—
327	C₂×C₃×Dic₃	—	2	4	no	—
328	C₂×C₃×Dic₃	C₂×D₄	1	4	yes	complemented
329	C₂×C₃×Dic₃	C₂⁴	1	4	yes	—
330	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
331	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
332	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
333	C₃×D₁₂	—	2	4	no	—
334	C₃×D₁₂	—	2	4	no	—
335	C₃×D₁₂	—	2	4	no	—
336	C₃×D₁₂	—	2	2	no	—
337	C₃×D₁₂	—	4	8	no	—
338	C₃×C₄×D₃	—	2	4	no	—
339	C₃×C₄×D₃	—	2	8	no	—
340	C₃×C₄×D₃	—	2	4	no	—
341	C₃×C₄×D₃	—	2	4	no	—
342	C₃×C₄×D₃	C₂×D₄	1	4	yes	—
343	C₃×C₄×D₃	C₂×D₄	1	4	yes	—
344	C₃×C₄×D₃	C₂×D₄	1	4	yes	complemented
345	C₃×C₄×D₃	C₂×D₄	1	4	yes	complemented
346	C₃×Dic₆	—	2	2	no	—
347	C₃×Dic₆	—	2	4	no	—
348	C₂²×#41	—	3	1	no	—
349	C₂³×D₄	—	3	1	no	—
350	#535	—	3	1	no	—
351	#535	—	3	1	no	—
352	#535	—	3	2	no	—
353	#535	—	3	2	no	—
354	#535	—	3	4	no	—
355	#535	—	3	4	no	—
356	#535	—	3	1	no	—
357	#535	C₃×D₃	1	1	yes	characteristic, direct product factor
358	C₂×#127	—	3	2	no	—
359	C₂×#124	—	3	2	no	—
360	C₂×#121	—	3	4	no	—
361	C₂×#120	—	3	4	no	—
362	C₂×#117	—	3	1	no	—
363	C₂⁴×C₃	—	2	2	no	—
364	C₂⁴×C₃	—	3	1	no	—
365	C₂⁴×C₃	—	3	4	no	—
366	C₂⁴×C₃	—	3	2	no	—
367	C₂⁴×C₃	—	3	4	no	—
368	C₂⁴×C₃	—	3	2	no	—
369	C₂⁴×C₃	—	6	8	no	—
370	C₂⁴×C₃	—	12	8	no	—
371	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
372	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
373	C₂³×D₃	—	2	8	no	—
374	C₂³×D₃	—	4	8	no	—
375	C₂³×D₃	C₂³×C₃	1	4	yes	—
376	C₂³×D₃	C₂³×C₃	1	2	yes	—
377	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
378	C₂³×D₃	C₂³×C₃	1	2	yes	—
379	C₂³×D₃	C₂³×C₃	1	4	yes	—
380	C₃×#41	—	2	4	no	—
381	C₃×#41	—	2	4	no	—
382	C₃×#41	—	4	4	no	—
383	C₃×#41	—	6	8	no	—
384	C₃×#41	—	6	8	no	—
385	C₃×#41	—	6	4	no	—
386	C₃×#41	—	6	4	no	—
387	C₃×#41	—	6	4	no	—
388	C₂×C₃×Q₈	—	2	1	no	—
389	C₂×C₃×Q₈	—	3	2	no	—
390	C₂×C₃×Q₈	—	3	1	no	—
391	C₂×C₃×Q₈	—	6	4	no	—
392	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
393	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
394	C₂×C₃×D₄	—	2	4	no	—
395	C₂×C₃×D₄	—	2	4	no	—
396	C₂×C₃×D₄	—	2	2	no	—
397	C₂×C₃×D₄	—	2	2	no	—
398	C₂×C₃×D₄	—	2	2	no	—
399	C₂×C₃×D₄	—	2	1	no	—
400	C₂×C₃×D₄	—	2	8	no	—
401	C₂×C₃×D₄	—	3	2	no	—
402	C₂×C₃×D₄	—	3	2	no	—
403	C₂×C₃×D₄	—	3	4	no	—
404	C₂×C₃×D₄	—	3	4	no	—
405	C₂×C₃×D₄	—	3	2	no	—
406	C₂×C₃×D₄	—	3	8	no	—
407	C₂×C₃×D₄	—	3	8	no	—
408	C₂×C₃×D₄	—	3	2	no	—
409	C₂×C₃×D₄	—	3	2	no	—
410	C₂×C₃×D₄	—	3	2	no	—
411	C₂×C₃×D₄	—	3	1	no	—
412	C₂×C₃×D₄	—	3	8	no	—
413	C₂×C₃×D₄	—	4	4	no	—
414	C₂×C₃×D₄	—	6	8	no	—
415	C₂×C₃×D₄	—	6	8	no	—
416	C₂×C₃×D₄	—	6	8	no	—
417	C₂×C₃×D₄	—	6	8	no	—
418	C₂×C₃×D₄	—	6	4	no	—
419	C₂×C₃×D₄	—	6	8	no	—
420	C₂×C₃×D₄	—	6	8	no	—
421	C₂×C₃×D₄	—	6	4	no	—
422	C₂×C₃×D₄	—	12	16	no	—
423	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
424	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
425	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
426	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
427	C₂×C₃×D₄	C₂²×D₃	1	8	yes	complemented
428	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
429	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
430	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
431	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
432	C₂×C₃×D₄	C₂³×C₃	1	8	yes	complemented
433	C₂²×C₃×C₄	—	2	1	no	—
434	C₂²×C₃×C₄	—	2	2	no	—
435	C₂²×C₃×C₄	—	3	1	no	—
436	C₂²×C₃×C₄	—	3	8	no	—
437	C₂²×C₃×C₄	—	3	1	no	—
438	C₂²×C₃×C₄	—	3	1	no	—
439	C₂²×C₃×C₄	—	3	1	no	—
440	C₂²×C₃×C₄	—	3	1	no	—
441	C₂²×C₃×C₄	—	3	2	no	—
442	C₂²×C₃×C₄	—	3	4	no	—
443	C₂²×C₃×C₄	—	3	2	no	—
444	C₂²×C₃×C₄	—	3	2	no	—
445	C₂²×C₃×C₄	—	3	2	no	—
446	C₂²×C₃×C₄	—	6	8	no	—
447	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
448	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	complemented
449	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
450	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	complemented
451	C₂×#67	—	2	8	no	—
452	C₂×#67	C₂³×C₃	1	2	yes	—
453	C₂×#67	C₂³×C₃	1	4	yes	—
454	C₂×#67	C₂³×C₃	1	4	yes	—
455	C₂×#67	C₂³×C₃	1	2	yes	—
456	C₂×#67	C₂³×C₃	1	2	yes	complemented
457	C₂×#67	C₂³×C₃	1	8	yes	complemented
458	C₂×#67	C₂³×C₃	1	8	yes	complemented
459	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
460	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
461	#239	—	2	4	no	—
462	D₃×Q₈	—	2	4	no	—
463	#237	—	2	8	no	—
464	#237	—	2	4	no	—
465	D₃×D₄	—	2	8	no	—
466	D₃×D₄	—	2	8	no	—
467	D₃×D₄	—	2	8	no	—
468	D₃×D₄	—	2	4	no	—
469	D₃×D₄	—	2	8	no	—
470	D₃×D₄	—	2	8	no	—
471	D₃×D₄	—	4	16	no	—
472	#235	—	2	4	no	—
473	#235	—	2	8	no	—
474	C₂×D₁₂	—	2	4	no	—
475	C₂×D₁₂	C₂³×C₃	1	2	yes	—
476	C₂×D₁₂	C₂³×C₃	1	2	yes	—
477	C₂×D₁₂	C₂³×C₃	1	2	yes	—
478	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
479	C₂×D₁₂	C₂³×C₃	1	8	yes	complemented
480	C₂×C₄×D₃	—	2	8	no	—
481	C₂×C₄×D₃	C₃×D₄	1	8	yes	complemented
482	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
483	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
484	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
485	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
486	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
487	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
488	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
489	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
490	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
491	C₂×Dic₆	C₂³×C₃	1	2	yes	complemented
492	C₃×C₄⋊C₄	—	2	2	no	—
493	C₃×C₄⋊C₄	—	3	4	no	—
494	C₃×C₄⋊C₄	—	3	2	no	—
495	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
496	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
497	C₃×C₂²⋊C₄	—	2	2	no	—
498	C₃×C₂²⋊C₄	—	2	8	no	—
499	C₃×C₂²⋊C₄	—	3	2	no	—
500	C₃×C₂²⋊C₄	—	3	8	no	—
501	C₃×C₂²⋊C₄	—	3	4	no	—
502	C₃×C₂²⋊C₄	—	3	8	no	—
503	C₃×C₂²⋊C₄	—	3	8	no	—
504	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
505	C₃×C₂²⋊C₄	C₂²×D₃	1	8	yes	complemented
506	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
507	C₃×C₂²⋊C₄	C₂³×C₃	1	8	yes	complemented
508	C₃×C₄²	—	2	2	no	—
509	C₃×C₄²	—	3	4	no	—
510	C₃×C₄²	—	3	2	no	—
511	C₃×C₄²	C₂²×D₃	1	2	yes	complemented
512	C₃×C₄²	C₂³×C₃	1	2	yes	complemented
513	#217	C₂³×C₃	1	2	yes	—
514	#217	C₂³×C₃	1	8	yes	complemented
515	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
516	(C₂×D₃)⋊C₄	C₂³×C₃	1	8	yes	complemented
517	(C₂×D₃)⋊C₄	C₂³×C₃	1	8	yes	complemented
518	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
519	Dic₃⋊C₄	C₂³×C₃	1	4	yes	complemented
520	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
521	C₄×Dic₃	C₂³×C₃	1	4	yes	complemented
522	C₂²×C₃²	—	2	2	no	—
523	C₂²×C₃²	—	2	2	no	—
524	C₂²×C₃²	—	2	4	no	—
525	C₂²×C₃²	—	2	4	no	—
526	C₂²×C₃²	—	2	8	no	—
527	C₂²×C₃²	—	4	8	no	—
528	C₂²×C₃²	C₂²×D₄	1	2	yes	—
529	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
530	C₂×C₃×D₃	—	2	2	no	—
531	C₂×C₃×D₃	—	2	8	no	—
532	C₂×C₃×D₃	—	2	2	no	—
533	C₂×C₃×D₃	—	2	4	no	—
534	C₂×C₃×D₃	—	2	4	no	—
535	C₂×C₃×D₃	—	2	8	no	—
536	C₂×C₃×D₃	—	4	16	no	—
537	C₂×C₃×D₃	—	4	8	no	—
538	C₂×C₃×D₃	—	4	8	no	—
539	C₂×C₃×D₃	—	4	16	no	—
540	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
541	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
542	C₂×C₃×D₃	H(5,𝔽₂)	1	4	yes	—
543	C₃²×C₄	—	2	2	no	—
544	C₃²×C₄	—	2	4	no	—
545	C₃²×C₄	C₂²×D₄	1	2	yes	—
546	C₃²×C₄	C₂²×D₄	1	2	yes	—
547	C₃×Dic₃	—	2	2	no	—
548	C₃×Dic₃	—	2	4	no	—
549	C₃×Dic₃	C₂²×D₄	1	2	yes	—
550	C₃×Dic₃	C₂²×D₄	1	2	yes	—
551	C₂⁵	—	3	2	no	—
552	C₂×#41	—	3	1	no	—
553	C₂×#41	—	3	2	no	—
554	C₂×#41	—	3	1	no	—
555	C₂×#41	—	3	1	no	—
556	C₂×#41	—	3	2	no	—
557	C₂×#41	—	6	8	no	—
558	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic, complemented
559	C₂²×Q₈	—	3	1	no	—
560	C₂²×D₄	—	3	2	no	—
561	C₂²×D₄	—	3	2	no	—
562	C₂²×D₄	—	3	2	no	—
563	C₂²×D₄	—	3	2	no	—
564	C₂²×D₄	—	3	2	no	—
565	C₂²×D₄	—	3	2	no	—
566	C₂²×D₄	—	3	1	no	—
567	C₂²×D₄	—	3	8	no	—
568	C₂²×D₄	—	3	1	no	—
569	C₂²×D₄	—	6	8	no	—
570	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
571	C₂³×C₄	—	3	1	no	—
572	C₂³×C₄	—	3	2	no	—
573	#127	—	3	2	no	—
574	#127	—	3	8	no	—
575	#127	—	3	2	no	—
576	#127	—	3	2	no	—
577	#127	C₂×C₃×D₃	1	2	yes	complemented
578	#124	—	3	2	no	—
579	#124	—	3	2	no	—
580	#124	—	3	8	no	—
581	#124	—	3	2	no	—
582	#124	C₂×C₃×D₃	1	2	yes	complemented
583	#121	—	3	4	no	—
584	#121	—	3	8	no	—
585	#121	—	3	4	no	—
586	#121	—	3	4	no	—
587	#121	—	3	8	no	—
588	#121	C₂×C₃×D₃	1	4	yes	complemented
589	#120	—	3	4	no	—
590	#120	—	3	4	no	—
591	#120	—	3	8	no	—
592	#120	—	3	4	no	—
593	#120	—	3	8	no	—
594	#120	C₂×C₃×D₃	1	4	yes	complemented
595	#117	—	3	1	no	—
596	#117	—	3	2	no	—
597	#117	—	3	2	no	—
598	#117	—	3	2	no	—
599	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
600	C₂×C₄⋊C₄	—	3	2	no	—
601	C₂×C₂²⋊C₄	—	3	2	no	—
602	C₂×C₂²⋊C₄	—	3	8	no	—
603	C₂×C₄²	—	3	2	no	—
604	C₂³×C₃	—	2	4	no	—
605	C₂³×C₃	—	2	4	no	—
606	C₂³×C₃	—	2	1	no	—
607	C₂³×C₃	—	2	4	no	—
608	C₂³×C₃	—	2	2	no	—
609	C₂³×C₃	—	3	1	no	—
610	C₂³×C₃	—	3	4	no	—
611	C₂³×C₃	—	3	1	no	—
612	C₂³×C₃	—	3	4	no	—
613	C₂³×C₃	—	3	2	no	—
614	C₂³×C₃	—	4	4	no	—
615	C₂³×C₃	—	4	4	no	—
616	C₂³×C₃	—	4	4	no	—
617	C₂³×C₃	—	6	4	no	—
618	C₂³×C₃	—	6	4	no	—
619	C₂³×C₃	—	6	8	no	—
620	C₂³×C₃	—	6	8	no	—
621	C₂³×C₃	—	6	8	no	—
622	C₂³×C₃	—	6	16	no	—
623	C₂³×C₃	—	6	4	no	—
624	C₂³×C₃	—	8	4	no	—
625	C₂³×C₃	—	12	4	no	—
626	C₂³×C₃	—	12	8	no	—
627	C₂³×C₃	—	12	32	no	—
628	C₂³×C₃	C₂³×D₃	1	4	yes	—
629	C₂³×C₃	C₂³×D₃	1	2	yes	—
630	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
631	C₂³×C₃	C₂⁴×C₃	1	4	yes	—
632	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
633	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
634	C₂²×D₃	—	2	4	no	—
635	C₂²×D₃	—	2	4	no	—
636	C₂²×D₃	—	2	4	no	—
637	C₂²×D₃	—	2	8	no	—
638	C₂²×D₃	—	2	8	no	—
639	C₂²×D₃	—	2	8	no	—
640	C₂²×D₃	—	2	16	no	—
641	C₂²×D₃	—	4	8	no	—
642	C₂²×D₃	—	4	4	no	—
643	C₂²×D₃	—	4	32	no	—
644	C₂²×D₃	C₂×C₃×D₄	1	4	yes	—
645	C₂²×D₃	C₂⁴×C₃	1	4	yes	—
646	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
647	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
648	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
649	C₃×Q₈	—	2	2	no	—
650	C₃×Q₈	—	2	2	no	—
651	C₃×Q₈	—	4	2	no	—
652	C₃×Q₈	—	6	4	no	—
653	C₃×Q₈	—	6	2	no	—
654	C₃×D₄	—	2	4	no	—
655	C₃×D₄	—	2	4	no	—
656	C₃×D₄	—	2	4	no	—
657	C₃×D₄	—	2	4	no	—
658	C₃×D₄	—	2	2	no	—
659	C₃×D₄	—	2	4	no	—
660	C₃×D₄	—	2	4	no	—
661	C₃×D₄	—	2	2	no	—
662	C₃×D₄	—	4	4	no	—
663	C₃×D₄	—	4	4	no	—
664	C₃×D₄	—	4	2	no	—
665	C₃×D₄	—	4	4	no	—
666	C₃×D₄	—	4	8	no	—
667	C₃×D₄	—	4	8	no	—
668	C₃×D₄	—	6	4	no	—
669	C₃×D₄	—	6	8	no	—
670	C₃×D₄	—	6	8	no	—
671	C₃×D₄	—	6	4	no	—
672	C₃×D₄	—	6	4	no	—
673	C₃×D₄	—	6	4	no	—
674	C₃×D₄	—	6	4	no	—
675	C₃×D₄	—	6	4	no	—
676	C₃×D₄	—	6	2	no	—
677	C₃×D₄	—	8	8	no	—
678	C₃×D₄	—	12	8	no	—
679	C₃×D₄	—	12	8	no	—
680	C₃×D₄	—	12	8	no	—
681	C₂×C₃×C₄	—	2	4	no	—
682	C₂×C₃×C₄	—	2	4	no	—
683	C₂×C₃×C₄	—	2	1	no	—
684	C₂×C₃×C₄	—	2	1	no	—
685	C₂×C₃×C₄	—	2	4	no	—
686	C₂×C₃×C₄	—	2	2	no	—
687	C₂×C₃×C₄	—	2	4	no	—
688	C₂×C₃×C₄	—	3	4	no	—
689	C₂×C₃×C₄	—	3	1	no	—
690	C₂×C₃×C₄	—	3	1	no	—
691	C₂×C₃×C₄	—	3	4	no	—
692	C₂×C₃×C₄	—	3	4	no	—
693	C₂×C₃×C₄	—	3	4	no	—
694	C₂×C₃×C₄	—	3	4	no	—
695	C₂×C₃×C₄	—	3	4	no	—
696	C₂×C₃×C₄	—	3	2	no	—
697	C₂×C₃×C₄	—	4	4	no	—
698	C₂×C₃×C₄	—	6	4	no	—
699	C₂×C₃×C₄	—	6	4	no	—
700	C₂×C₃×C₄	—	6	8	no	—
701	C₂×C₃×C₄	—	6	4	no	—
702	C₂×C₃×C₄	—	6	4	no	—
703	C₂×C₃×C₄	D₃×D₄	1	4	yes	complemented
704	C₂×C₃×C₄	C₂×C₃×D₄	1	4	yes	complemented
705	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
706	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
707	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
708	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
709	C₂×C₃×C₄	C₂⁴×C₃	1	4	yes	—
710	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
711	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
712	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
713	#67	—	2	4	no	—
714	#67	—	2	4	no	—
715	#67	—	2	4	no	—
716	#67	—	2	8	no	—
717	#67	—	2	8	no	—
718	#67	—	4	8	no	—
719	#67	—	4	8	no	—
720	C₂×Dic₃	—	2	4	no	—
721	C₂×Dic₃	C₂×C₃×D₄	1	4	yes	complemented
722	C₂×Dic₃	C₂⁴×C₃	1	4	yes	—
723	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
724	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
725	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
726	D₁₂	—	2	4	no	—
727	D₁₂	—	2	4	no	—
728	D₁₂	—	2	4	no	—
729	D₁₂	—	2	2	no	—
730	D₁₂	—	4	8	no	—
731	C₄×D₃	—	2	4	no	—
732	C₄×D₃	—	2	8	no	—
733	C₄×D₃	—	2	4	no	—
734	C₄×D₃	—	2	4	no	—
735	C₄×D₃	C₂×C₃×D₄	1	4	yes	—
736	C₄×D₃	C₂×C₃×D₄	1	4	yes	—
737	C₄×D₃	C₂×C₃×D₄	1	4	yes	complemented
738	C₄×D₃	C₂×C₃×D₄	1	4	yes	complemented
739	Dic₆	—	2	2	no	—
740	Dic₆	—	2	4	no	—
741	C₂×C₃²	—	2	2	no	—
742	C₂×C₃²	—	4	4	no	—
743	C₂×C₃²	—	4	2	no	—
744	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
745	C₂×C₃²	C₂×H(5,𝔽₂)	1	2	yes	—
746	C₃×D₃	—	2	2	no	—
747	C₃×D₃	—	4	2	no	—
748	C₃×D₃	—	4	4	no	—
749	C₃×D₃	#535	1	4	yes	direct product factor
750	C₂⁴	—	3	1	no	—
751	C₂⁴	—	3	4	no	—
752	C₂⁴	—	3	2	no	—
753	C₂⁴	—	3	4	no	—
754	C₂⁴	—	3	2	no	—
755	C₂⁴	—	6	8	no	—
756	C₂⁴	—	12	8	no	—
757	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
758	#41	—	2	4	no	—
759	#41	—	6	8	no	—
760	#41	—	6	8	no	—
761	#41	—	6	4	no	—
762	#41	—	6	4	no	—
763	#41	—	6	4	no	—
764	C₂×Q₈	—	3	2	no	—
765	C₂×Q₈	—	3	1	no	—
766	C₂×Q₈	—	6	4	no	—
767	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
768	C₂×D₄	—	2	4	no	—
769	C₂×D₄	—	3	2	no	—
770	C₂×D₄	—	3	2	no	—
771	C₂×D₄	—	3	4	no	—
772	C₂×D₄	—	3	4	no	—
773	C₂×D₄	—	3	2	no	—
774	C₂×D₄	—	3	8	no	—
775	C₂×D₄	—	3	8	no	—
776	C₂×D₄	—	3	2	no	—
777	C₂×D₄	—	3	2	no	—
778	C₂×D₄	—	3	2	no	—
779	C₂×D₄	—	3	1	no	—
780	C₂×D₄	—	3	8	no	—
781	C₂×D₄	—	6	8	no	—
782	C₂×D₄	—	6	8	no	—
783	C₂×D₄	—	6	8	no	—
784	C₂×D₄	—	6	8	no	—
785	C₂×D₄	—	6	4	no	—
786	C₂×D₄	—	6	8	no	—
787	C₂×D₄	—	6	8	no	—
788	C₂×D₄	—	6	4	no	—
789	C₂×D₄	—	12	16	no	—
790	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
791	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
792	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
793	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
794	C₂×D₄	C₂²×C₃×D₃	1	8	yes	complemented
795	C₂²×C₄	—	3	1	no	—
796	C₂²×C₄	—	3	1	no	—
797	C₂²×C₄	—	3	1	no	—
798	C₂²×C₄	—	3	1	no	—
799	C₂²×C₄	—	3	1	no	—
800	C₂²×C₄	—	3	8	no	—
801	C₂²×C₄	—	3	2	no	—
802	C₂²×C₄	—	3	4	no	—
803	C₂²×C₄	—	3	2	no	—
804	C₂²×C₄	—	3	2	no	—
805	C₂²×C₄	—	3	2	no	—
806	C₂²×C₄	—	6	8	no	—
807	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
808	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	complemented
809	C₄⋊C₄	—	3	4	no	—
810	C₄⋊C₄	—	3	2	no	—
811	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
812	C₂²⋊C₄	—	3	2	no	—
813	C₂²⋊C₄	—	3	8	no	—
814	C₂²⋊C₄	—	3	4	no	—
815	C₂²⋊C₄	—	3	8	no	—
816	C₂²⋊C₄	—	3	8	no	—
817	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
818	C₂²⋊C₄	C₂²×C₃×D₃	1	8	yes	complemented
819	C₄²	—	3	4	no	—
820	C₄²	—	3	2	no	—
821	C₄²	C₂²×C₃×D₃	1	2	yes	complemented
822	C₂²×C₃	—	2	2	no	—
823	C₂²×C₃	—	2	2	no	—
824	C₂²×C₃	—	2	2	no	—
825	C₂²×C₃	—	2	4	no	—
826	C₂²×C₃	—	2	4	no	—
827	C₂²×C₃	—	2	8	no	—
828	C₂²×C₃	—	2	2	no	—
829	C₂²×C₃	—	2	4	no	—
830	C₂²×C₃	—	2	4	no	—
831	C₂²×C₃	—	2	8	no	—
832	C₂²×C₃	—	2	2	no	—
833	C₂²×C₃	—	2	1	no	—
834	C₂²×C₃	—	3	2	no	—
835	C₂²×C₃	—	3	4	no	—
836	C₂²×C₃	—	3	2	no	—
837	C₂²×C₃	—	4	2	no	—
838	C₂²×C₃	—	4	2	no	—
839	C₂²×C₃	—	4	4	no	—
840	C₂²×C₃	—	4	4	no	—
841	C₂²×C₃	—	4	8	no	—
842	C₂²×C₃	—	4	8	no	—
843	C₂²×C₃	—	4	8	no	—
844	C₂²×C₃	—	6	8	no	—
845	C₂²×C₃	—	6	2	no	—
846	C₂²×C₃	—	6	2	no	—
847	C₂²×C₃	—	6	4	no	—
848	C₂²×C₃	—	6	4	no	—
849	C₂²×C₃	—	6	8	no	—
850	C₂²×C₃	—	8	8	no	—
851	C₂²×C₃	—	12	8	no	—
852	C₂²×C₃	—	12	16	no	—
853	C₂²×C₃	—	12	8	no	—
854	C₂²×C₃	—	12	16	no	—
855	C₂²×C₃	C₂×D₃×D₄	1	2	yes	—
856	C₂²×C₃	C₂²×C₃×D₄	1	2	yes	—
857	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
858	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
859	C₂×D₃	—	2	2	no	—
860	C₂×D₃	—	2	8	no	—
861	C₂×D₃	—	2	2	no	—
862	C₂×D₃	—	2	4	no	—
863	C₂×D₃	—	2	4	no	—
864	C₂×D₃	—	2	8	no	—
865	C₂×D₃	—	4	16	no	—
866	C₂×D₃	—	4	8	no	—
867	C₂×D₃	—	4	16	no	—
868	C₂×D₃	—	4	8	no	—
869	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
870	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
871	C₂×D₃	C₃×H(5,𝔽₂)	1	4	yes	—
872	C₃×C₄	—	2	2	no	—
873	C₃×C₄	—	2	4	no	—
874	C₃×C₄	—	2	2	no	—
875	C₃×C₄	—	2	4	no	—
876	C₃×C₄	—	2	2	no	—
877	C₃×C₄	—	2	2	no	—
878	C₃×C₄	—	3	2	no	—
879	C₃×C₄	—	3	2	no	—
880	C₃×C₄	—	4	2	no	—
881	C₃×C₄	—	4	4	no	—
882	C₃×C₄	—	6	2	no	—
883	C₃×C₄	—	6	4	no	—
884	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
885	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
886	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
887	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
888	Dic₃	—	2	2	no	—
889	Dic₃	—	2	4	no	—
890	Dic₃	C₂²×C₃×D₄	1	2	yes	—
891	Dic₃	C₂²×C₃×D₄	1	2	yes	—
892	C₃²	C₂×#535	1	1	yes	characteristic, complemented, Sylow
893	C₂³	—	2	4	no	—
894	C₂³	—	3	1	no	—
895	C₂³	—	3	4	no	—
896	C₂³	—	3	1	no	—
897	C₂³	—	3	4	no	—
898	C₂³	—	3	2	no	—
899	C₂³	—	4	4	no	—
900	C₂³	—	6	4	no	—
901	C₂³	—	6	4	no	—
902	C₂³	—	6	8	no	—
903	C₂³	—	6	8	no	—
904	C₂³	—	6	8	no	—
905	C₂³	—	6	16	no	—
906	C₂³	—	6	4	no	—
907	C₂³	—	12	4	no	—
908	C₂³	—	12	8	no	—
909	C₂³	—	12	32	no	—
910	C₂³	C₂³×C₃×D₃	1	4	yes	—
911	C₂³	C₂³×C₃×D₃	1	2	yes	—
912	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
913	Q₈	—	2	2	no	—
914	Q₈	—	6	4	no	—
915	Q₈	—	6	2	no	—
916	D₄	—	2	4	no	—
917	D₄	—	2	4	no	—
918	D₄	—	2	4	no	—
919	D₄	—	2	2	no	—
920	D₄	—	4	8	no	—
921	D₄	—	6	4	no	—
922	D₄	—	6	8	no	—
923	D₄	—	6	8	no	—
924	D₄	—	6	4	no	—
925	D₄	—	6	4	no	—
926	D₄	—	6	4	no	—
927	D₄	—	6	4	no	—
928	D₄	—	6	4	no	—
929	D₄	—	6	2	no	—
930	D₄	—	12	8	no	—
931	D₄	—	12	8	no	—
932	D₄	—	12	8	no	—
933	C₂×C₄	—	2	4	no	—
934	C₂×C₄	—	3	4	no	—
935	C₂×C₄	—	3	1	no	—
936	C₂×C₄	—	3	1	no	—
937	C₂×C₄	—	3	4	no	—
938	C₂×C₄	—	3	4	no	—
939	C₂×C₄	—	3	4	no	—
940	C₂×C₄	—	3	4	no	—
941	C₂×C₄	—	3	4	no	—
942	C₂×C₄	—	3	2	no	—
943	C₂×C₄	—	6	4	no	—
944	C₂×C₄	—	6	4	no	—
945	C₂×C₄	—	6	8	no	—
946	C₂×C₄	—	6	4	no	—
947	C₂×C₄	—	6	4	no	—
948	C₂×C₄	C₃×D₃×D₄	1	4	yes	complemented
949	C₂×C₄	C₂³×C₃×D₃	1	4	yes	—
950	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
951	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
952	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
953	C₂×C₃	—	2	2	no	—
954	C₂×C₃	—	2	2	no	—
955	C₂×C₃	—	2	1	no	—
956	C₂×C₃	—	2	2	no	—
957	C₂×C₃	—	3	4	no	—
958	C₂×C₃	—	4	2	no	—
959	C₂×C₃	—	4	4	no	—
960	C₂×C₃	—	4	2	no	—
961	C₂×C₃	—	4	4	no	—
962	C₂×C₃	—	4	2	no	—
963	C₂×C₃	—	6	2	no	—
964	C₂×C₃	—	8	4	no	—
965	C₂×C₃	—	8	2	no	—
966	C₂×C₃	—	12	4	no	—
967	C₂×C₃	—	12	2	no	—
968	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
969	C₂×C₃	D₃×H(5,𝔽₂)	1	2	yes	—
970	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
971	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
972	D₃	—	2	2	no	—
973	D₃	—	4	4	no	—
974	D₃	—	4	2	no	—
975	D₃	C₃×#535	1	4	yes	direct product factor
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	4	no	—
980	C₂²	—	2	8	no	—
981	C₂²	—	3	2	no	—
982	C₂²	—	3	4	no	—
983	C₂²	—	3	2	no	—
984	C₂²	—	4	8	no	—
985	C₂²	—	6	8	no	—
986	C₂²	—	6	2	no	—
987	C₂²	—	6	2	no	—
988	C₂²	—	6	4	no	—
989	C₂²	—	6	4	no	—
990	C₂²	—	6	8	no	—
991	C₂²	—	12	8	no	—
992	C₂²	—	12	16	no	—
993	C₂²	—	12	8	no	—
994	C₂²	—	12	16	no	—
995	C₂²	C₂×C₃×D₃×D₄	1	2	yes	—
996	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
997	C₄	—	2	2	no	—
998	C₄	—	2	4	no	—
999	C₄	—	3	2	no	—
1000	C₄	—	3	2	no	—
1001	C₄	—	6	2	no	—
1002	C₄	—	6	4	no	—
1003	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1004	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1005	C₃	—	2	1	no	—
1006	C₃	D₃×#535	1	1	yes	characteristic, direct product factor
1007	C₃	C₂×C₃×#535	1	1	yes	characteristic, complemented
1008	C₂	—	2	2	no	—
1009	C₂	—	3	4	no	—
1010	C₂	—	4	4	no	—
1011	C₂	—	4	2	no	—
1012	C₂	—	6	2	no	—
1013	C₂	—	12	4	no	—
1014	C₂	—	12	2	no	—
1015	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1016	C₂	C₃×D₃×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#535	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#535	D₃
hypocenter	C₃	C₂×C₃×#535
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#535

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₃×#41	C₂	semidirect
2. C₂²×C₃×D₃×D₄	C₂	semidirect
3. C₃²×#535	C₂	semidirect
4. C₃×#5830	C₂	semidirect
5. C₃×#5805	C₂	semidirect
6. C₃×#5715	C₂	semidirect
7. C₃×D₃×#127	C₂	semidirect
8. C₃×#5674	C₂	semidirect
9. C₃×D₃×#124	C₂	semidirect
10. C₃×#5607	C₂	semidirect
11. C₃×D₃×#121	C₂	semidirect
12. C₃×#5592	C₂	semidirect
13. C₃×D₃×#120	C₂	semidirect
14. C₃×#5525	C₂	semidirect
15. C₃×D₃×#117	C₂	semidirect
17. D₃×#535	C₃	direct (N × H)
19. C₂×C₃²×#41	C₂²	semidirect
20. C₂²×C₃²×D₄	C₂²	semidirect
21. C₂²×C₃×#67	C₂²	semidirect
23. C₂×C₃×#239	C₂²	semidirect
24. C₂×C₃×D₃×Q₈	C₂²	semidirect
25. C₂×C₃×#237	C₂²	semidirect
26. C₂×C₃×#237	C₂²	semidirect
31. C₂×C₃×D₃×D₄	C₂²	semidirect
32. C₂×C₃×D₃×D₄	C₂²	semidirect
33. C₂×C₃×D₃×D₄	C₂²	semidirect
34. C₂×C₃×D₃×D₄	C₂²	semidirect
35. C₂×C₃×#235	C₂²	semidirect
36. C₂×C₃×#235	C₂²	semidirect
37. C₂²×C₃×D₁₂	C₂²	semidirect
39. C₂²×C₃×C₄×D₃	C₂²	semidirect
40. C₃²×#127	C₂²	semidirect
41. C₃²×#124	C₂²	semidirect
42. C₃²×#121	C₂²	semidirect
43. C₃²×#120	C₂²	semidirect
44. C₃²×#117	C₂²	semidirect
45. C₃×#953	C₂²	semidirect
46. C₃×#947	C₂²	semidirect
47. C₃×#940	C₂²	semidirect
48. C₃×#940	C₂²	semidirect
49. C₃×#940	C₂²	semidirect
50. C₃×#939	C₂²	semidirect
51. C₃×#938	C₂²	semidirect
52. C₃×#937	C₂²	semidirect
53. C₃×#937	C₂²	semidirect
54. C₃×#936	C₂²	semidirect
55. C₃×#930	C₂²	semidirect
56. C₃×#926	C₂²	semidirect
57. C₃×#895	C₂²	semidirect
58. C₃×#892	C₂²	semidirect
59. C₃×D₃×C₄⋊C₄	C₂²	semidirect
60. C₃×#885	C₂²	semidirect
61. C₃×#884	C₂²	semidirect
62. C₃×#882	C₂²	semidirect
63. C₃×#882	C₂²	semidirect
65. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
66. C₃×#877	C₂²	semidirect
67. C₃×#875	C₂²	semidirect
68. C₃×#874	C₂²	semidirect
69. C₃×#872	C₂²	semidirect
70. C₃×C₄²×D₃	C₂²	semidirect
73. C₂×D₃×#41	C₂×C₃	semidirect
74. C₂²×D₃×D₄	C₂×C₃	semidirect
83. C₃×#535	D₃	direct (N × H)
84. C₃×#535	C₂×C₃	semidirect
90. #5830	C₂×C₃	semidirect
91. #5805	C₂×C₃	semidirect
92. #5715	C₂×C₃	semidirect
93. D₃×#127	C₂×C₃	semidirect
94. #5674	C₂×C₃	semidirect
95. D₃×#124	C₂×C₃	semidirect
96. #5607	C₂×C₃	semidirect
97. D₃×#121	C₂×C₃	semidirect
98. #5592	C₂×C₃	semidirect
99. D₃×#120	C₂×C₃	semidirect
100. #5525	C₂×C₃	semidirect
101. D₃×#117	C₂×C₃	semidirect
111. C₂×C₃²×Q₈	C₂³	semidirect
116. C₂×C₃²×D₄	C₂³	semidirect
117. C₂×C₃²×D₄	C₂³	semidirect
119. C₂²×C₃²×C₄	C₂³	semidirect
125. C₂×C₃×#67	C₂³	semidirect
126. C₂×C₃×#67	C₂³	semidirect
127. C₂×C₃×#67	C₂³	semidirect
129. C₂²×C₃×Dic₃	C₂³	semidirect
147. C₂×C₃×D₁₂	C₂³	semidirect
148. C₂×C₃×D₁₂	C₂³	semidirect
150. C₂×C₃×C₄×D₃	D₄	semidirect
157. C₂×C₃×C₄×D₃	C₂³	semidirect
158. C₂×C₃×C₄×D₃	C₂³	semidirect
159. C₂×C₃×Dic₆	C₂³	semidirect
160. C₂×C₃×Dic₆	C₂³	semidirect
161. C₃²×C₄⋊C₄	C₂³	semidirect
163. C₃²×C₂²⋊C₄	C₂³	semidirect
164. C₃²×C₄²	C₂³	semidirect
166. C₃×#217	C₂³	semidirect
168. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
169. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
170. C₃×C₄⋊Dic₃	C₂³	semidirect
171. C₃×Dic₃⋊C₄	C₂³	semidirect
172. C₃×C₄×Dic₃	C₂³	semidirect
173. C₃×C₄×Dic₃	C₂³	semidirect
184. C₂×C₃×#41	C₂×D₃	semidirect
185. C₂×C₃×#41	C₂²×C₃	semidirect
198. C₂²×C₃×D₄	C₂×D₃	semidirect
199. C₂²×C₃×D₄	C₂²×C₃	semidirect
202. C₂²×#67	C₂²×C₃	semidirect
204. C₂×#239	C₂²×C₃	semidirect
205. C₂×D₃×Q₈	C₂²×C₃	semidirect
206. C₂×#237	C₂²×C₃	semidirect
207. C₂×#237	C₂²×C₃	semidirect
212. C₂×D₃×D₄	C₂²×C₃	semidirect
213. C₂×D₃×D₄	C₂²×C₃	semidirect
214. C₂×D₃×D₄	C₂²×C₃	semidirect
215. C₂×D₃×D₄	C₂²×C₃	semidirect
216. C₂×#235	C₂²×C₃	semidirect
217. C₂×#235	C₂²×C₃	semidirect
218. C₂²×D₁₂	C₂²×C₃	semidirect
220. C₂²×C₄×D₃	C₂²×C₃	semidirect
226. C₃×#127	C₂×D₃	semidirect
227. C₃×#127	C₂²×C₃	semidirect
233. C₃×#124	C₂×D₃	semidirect
234. C₃×#124	C₂²×C₃	semidirect
241. C₃×#121	C₂×D₃	semidirect
242. C₃×#121	C₂²×C₃	semidirect
249. C₃×#120	C₂×D₃	semidirect
250. C₃×#120	C₂²×C₃	semidirect
256. C₃×#117	C₂×D₃	semidirect
257. C₃×#117	C₂²×C₃	semidirect
262. #953	C₂²×C₃	semidirect
263. #947	C₂²×C₃	semidirect
264. #940	C₂²×C₃	semidirect
265. #940	C₂²×C₃	semidirect
266. #940	C₂²×C₃	semidirect
267. #939	C₂²×C₃	semidirect
268. #938	C₂²×C₃	semidirect
269. #937	C₂²×C₃	semidirect
270. #937	C₂²×C₃	semidirect
271. #936	C₂²×C₃	semidirect
272. #930	C₂²×C₃	semidirect
273. #926	C₂²×C₃	semidirect
274. #895	C₂²×C₃	semidirect
275. #892	C₂²×C₃	semidirect
276. D₃×C₄⋊C₄	C₂²×C₃	semidirect
277. #885	C₂²×C₃	semidirect
278. #884	C₂²×C₃	semidirect
279. #882	C₂²×C₃	semidirect
280. #882	C₂²×C₃	semidirect
282. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
283. #877	C₂²×C₃	semidirect
284. #875	C₂²×C₃	semidirect
285. #874	C₂²×C₃	semidirect
286. #872	C₂²×C₃	semidirect
287. C₄²×D₃	C₂²×C₃	semidirect
315. C₂×C₃²×C₄	C₂×D₄	semidirect
328. C₂×C₃×Dic₃	C₂×D₄	semidirect
344. C₃×C₄×D₃	C₂×D₄	semidirect
345. C₃×C₄×D₃	C₂×D₄	semidirect
357. #535	C₃×D₃	direct (N × H)
392. C₂×C₃×Q₈	C₂²×D₃	semidirect
393. C₂×C₃×Q₈	C₂³×C₃	semidirect
426. C₂×C₃×D₄	C₂²×D₃	semidirect
427. C₂×C₃×D₄	C₂²×D₃	semidirect
431. C₂×C₃×D₄	C₂³×C₃	semidirect
432. C₂×C₃×D₄	C₂³×C₃	semidirect
448. C₂²×C₃×C₄	C₂²×D₃	semidirect
450. C₂²×C₃×C₄	C₂³×C₃	semidirect
456. C₂×#67	C₂³×C₃	semidirect
457. C₂×#67	C₂³×C₃	semidirect
458. C₂×#67	C₂³×C₃	semidirect
460. C₂²×Dic₃	C₂³×C₃	semidirect
478. C₂×D₁₂	C₂³×C₃	semidirect
479. C₂×D₁₂	C₂³×C₃	semidirect
481. C₂×C₄×D₃	C₃×D₄	semidirect
488. C₂×C₄×D₃	C₂³×C₃	semidirect
489. C₂×C₄×D₃	C₂³×C₃	semidirect
490. C₂×Dic₆	C₂³×C₃	semidirect
491. C₂×Dic₆	C₂³×C₃	semidirect
495. C₃×C₄⋊C₄	C₂²×D₃	semidirect
496. C₃×C₄⋊C₄	C₂³×C₃	semidirect
505. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
507. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
511. C₃×C₄²	C₂²×D₃	semidirect
512. C₃×C₄²	C₂³×C₃	semidirect
514. #217	C₂³×C₃	semidirect
516. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
517. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
518. C₄⋊Dic₃	C₂³×C₃	semidirect
519. Dic₃⋊C₄	C₂³×C₃	semidirect
520. C₄×Dic₃	C₂³×C₃	semidirect
521. C₄×Dic₃	C₂³×C₃	semidirect
558. C₂×#41	C₂×C₃×D₃	semidirect
570. C₂²×D₄	C₂×C₃×D₃	semidirect
577. #127	C₂×C₃×D₃	semidirect
582. #124	C₂×C₃×D₃	semidirect
588. #121	C₂×C₃×D₃	semidirect
594. #120	C₂×C₃×D₃	semidirect
599. #117	C₂×C₃×D₃	semidirect
703. C₂×C₃×C₄	D₃×D₄	semidirect
704. C₂×C₃×C₄	C₂×C₃×D₄	semidirect
721. C₂×Dic₃	C₂×C₃×D₄	semidirect
737. C₄×D₃	C₂×C₃×D₄	semidirect
738. C₄×D₃	C₂×C₃×D₄	semidirect
749. C₃×D₃	#535	direct (N × H)
767. C₂×Q₈	C₂²×C₃×D₃	semidirect
793. C₂×D₄	C₂²×C₃×D₃	semidirect
794. C₂×D₄	C₂²×C₃×D₃	semidirect
808. C₂²×C₄	C₂²×C₃×D₃	semidirect
811. C₄⋊C₄	C₂²×C₃×D₃	semidirect
818. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
821. C₄²	C₂²×C₃×D₃	semidirect
892. C₃²	C₂×#535	semidirect
948. C₂×C₄	C₃×D₃×D₄	semidirect
975. D₃	C₃×#535	direct (N × H)
1006. C₃	D₃×#535	direct (N × H)
1007. C₃	C₂×C₃×#535	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×D₃×#41	2
C₂²×C₃×D₃×D₄	2
C₃²×#535	2
C₃×#5830	2
C₃×#5805	2
C₃×#5715	2
C₃×D₃×#127	2
C₃×#5674	2
C₃×D₃×#124	2
C₃×#5607	2
C₃×D₃×#121	2
C₃×#5592	2
C₃×D₃×#120	2
C₃×#5525	2
C₃×D₃×#117	2
C₂×C₃×#535	3
D₃×#535	3

Subgroups — C3×D3×#535 #11900980

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₃×#535 #11900980