Subgroups — C₃×D₃×#542 #11901607

Order 1152.

2372 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5733	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5710	C₂	1	2	yes	maximal, complemented
5	C₃×D₃×#126	C₂	1	2	yes	maximal, complemented
6	C₃×#5682	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×D₃×#124	C₂	1	2	yes	maximal, complemented
8	C₃×D₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5669	C₂	1	2	yes	maximal, complemented
10	C₃×#5662	C₂	1	2	yes	maximal, complemented
11	C₃×D₃×#123	C₂	1	2	yes	maximal, complemented
12	C₃×#5643	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5640	C₂	1	2	yes	maximal, complemented
14	C₃×D₃×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
15	C₃×D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×D₃×#121	C₂	1	1	yes	maximal, characteristic
17	C₃×#5603	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5582	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×C₄×D₃×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5561	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5534	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₃×#542	—	3	1	no	maximal
25	D₃×#542	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₃×D₃×Q₈	C₂²	1	2	yes	—
28	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
29	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
30	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
31	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	—
32	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₃²×#126	C₂²	1	2	yes	complemented
34	C₃²×#124	C₂²	1	2	yes	complemented
35	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#123	C₂²	1	2	yes	complemented
37	C₃²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₃²×#121	C₂²	1	1	yes	characteristic
40	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
43	C₃×#947	C₂²	1	1	yes	characteristic, complemented
44	C₃×#947	C₂²	1	2	yes	complemented
45	C₃×#946	C₂²	1	1	yes	characteristic, complemented
46	C₃×#946	C₂²	1	2	yes	complemented
47	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
48	C₃×#944	C₂²	1	2	yes	complemented
49	C₃×#939	C₂²	1	2	yes	—
50	C₃×#938	C₂²	1	1	yes	characteristic
51	C₃×#936	C₂²	1	1	yes	characteristic, complemented
52	C₃×#936	C₂²	1	2	yes	complemented
53	C₃×#935	C₂²	1	2	yes	complemented
54	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
55	C₃×#930	C₂²	1	1	yes	characteristic
56	C₃×#929	C₂²	1	2	yes	complemented
57	C₃×C₄×#67	C₂²	1	2	yes	complemented
58	C₃×#926	C₂²	1	1	yes	characteristic, complemented
59	C₃×#924	C₂²	1	1	yes	characteristic, complemented
60	C₃×#924	C₂²	1	2	yes	complemented
61	C₃×#898	C₂²	1	2	yes	complemented
62	C₃×#898	C₂²	1	2	yes	complemented
63	C₃×#898	C₂²	1	2	yes	complemented
64	C₃×#897	C₂²	1	1	yes	characteristic, complemented
65	C₃×#897	C₂²	1	2	yes	complemented
66	C₃×#896	C₂²	1	2	yes	complemented
67	C₃×#896	C₂²	1	2	yes	complemented
68	C₃×#896	C₂²	1	2	yes	complemented
69	C₃×#895	C₂²	1	1	yes	characteristic
70	C₃×#894	C₂²	1	2	yes	complemented
71	C₃×#894	C₂²	1	2	yes	complemented
72	C₃×#893	C₂²	1	1	yes	characteristic, complemented
73	C₃×#892	C₂²	1	1	yes	characteristic, complemented
74	C₃×#892	C₂²	1	1	yes	characteristic, complemented
75	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
76	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
77	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
78	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
79	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	—
80	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	—
81	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	—
82	C₃×#888	C₂²	1	1	yes	characteristic, complemented
83	C₃×#888	C₂²	1	1	yes	characteristic, complemented
84	C₃×#888	C₂²	1	2	yes	complemented
85	C₃×#887	C₂²	1	1	yes	characteristic, complemented
86	C₃×#887	C₂²	1	2	yes	complemented
87	C₃×#886	C₂²	1	2	yes	complemented
88	C₃×#885	C₂²	1	2	yes	complemented
89	C₃×#885	C₂²	1	2	yes	complemented
90	C₃×#885	C₂²	1	2	yes	complemented
91	C₃×#885	C₂²	1	2	yes	complemented
92	C₃×#885	C₂²	1	2	yes	complemented
93	C₃×#885	C₂²	1	2	yes	complemented
94	C₃×#884	C₂²	1	2	yes	—
95	C₃×#883	C₂²	1	2	yes	complemented
96	C₃×#883	C₂²	1	2	yes	complemented
97	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
98	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
99	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
100	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
102	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
103	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
104	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
105	C₃×#879	C₂²	1	2	yes	complemented
106	C₃×#879	C₂²	1	2	yes	complemented
107	C₃×#879	C₂²	1	2	yes	complemented
108	C₃×#878	C₂²	1	2	yes	complemented
109	C₃×#878	C₂²	1	2	yes	complemented
110	C₃×#878	C₂²	1	2	yes	complemented
111	C₃×#877	C₂²	1	1	yes	characteristic, complemented
112	C₃×#877	C₂²	1	1	yes	characteristic, complemented
113	C₃×#876	C₂²	1	2	yes	complemented
114	C₃×#875	C₂²	1	1	yes	characteristic, complemented
115	C₃×#875	C₂²	1	2	yes	complemented
116	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
117	C₃×#872	C₂²	1	1	yes	characteristic, complemented
118	C₃×#872	C₂²	1	1	yes	characteristic, complemented
119	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
120	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
121	C₃×C₄²×D₃	C₂²	1	2	yes	—
122	C₃×#869	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×Dic₆	C₂²	1	2	yes	complemented
125	C₃×#542	—	2	1	no	—
126	C₃×#542	—	3	1	no	—
127	C₃×#542	—	3	2	no	—
128	C₃×#542	—	3	2	no	—
129	C₃×#542	—	3	1	no	—
130	C₃×#542	—	3	2	no	—
131	C₃×#542	—	3	2	no	—
132	C₃×#542	—	3	1	no	—
133	C₃×#542	—	3	1	no	—
134	C₃×#542	—	3	1	no	—
135	C₃×#542	—	3	1	no	—
136	C₃×#542	—	3	1	no	—
137	C₃×#542	D₃	1	1	yes	characteristic, direct product factor
138	C₃×#542	C₂×C₃	1	1	yes	characteristic, complemented
139	C₂×C₃×C₄⋊Q₈	—	3	1	no	—
140	C₂×C₃×#126	—	3	2	no	—
141	C₂×C₃×#124	—	3	1	no	—
142	C₂×C₃×#124	—	3	2	no	—
143	C₂×C₃×#123	—	3	2	no	—
144	C₂×C₃×C₂²⋊Q₈	—	3	2	no	—
145	C₂×C₃×C₂²⋊Q₈	—	3	1	no	—
146	C₂×C₃×#121	—	3	1	no	—
147	C₂×C₃×C₄×Q₈	—	3	1	no	—
148	C₂×C₃×C₄×D₄	—	3	1	no	—
149	C₂×C₃×#117	—	3	1	no	—
150	#5733	C₂×C₃	1	1	yes	characteristic, complemented
151	D₃×C₄⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
152	#5710	C₂×C₃	1	2	yes	complemented
153	D₃×#126	C₂×C₃	1	2	yes	complemented
154	#5682	C₂×C₃	1	1	yes	characteristic, complemented
155	D₃×#124	C₂×C₃	1	2	yes	complemented
156	D₃×#124	C₂×C₃	1	1	yes	characteristic, complemented
157	#5669	C₂×C₃	1	2	yes	complemented
158	#5662	C₂×C₃	1	2	yes	complemented
159	D₃×#123	C₂×C₃	1	2	yes	complemented
160	#5643	C₂×C₃	1	1	yes	characteristic, complemented
161	#5640	C₂×C₃	1	2	yes	complemented
162	D₃×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
163	D₃×C₂²⋊Q₈	C₂×C₃	1	2	yes	complemented
164	D₃×#121	C₂×C₃	1	1	yes	characteristic
165	#5603	C₂×C₃	1	1	yes	characteristic, complemented
166	#5582	C₂×C₃	1	1	yes	characteristic, complemented
167	C₄×D₃×Q₈	C₂×C₃	1	1	yes	characteristic, complemented
168	#5561	C₂×C₃	1	1	yes	characteristic, complemented
169	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
170	#5534	C₂×C₃	1	1	yes	characteristic, complemented
171	D₃×#117	C₂×C₃	1	1	yes	characteristic, complemented
172	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
173	C₂³×C₃×D₃	C₂³	1	2	yes	—
174	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
175	C₂×C₃²×Q₈	C₂³	1	2	yes	—
176	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
177	C₂×C₃²×D₄	C₂³	1	2	yes	—
178	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
179	C₂²×C₃²×C₄	C₂³	1	2	yes	—
180	C₂×C₃×#67	C₂³	1	2	yes	—
181	C₂×C₃×#67	C₂³	1	2	yes	—
182	C₂×C₃×#67	C₂³	1	2	yes	—
183	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
184	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
185	C₃×D₃×Q₈	—	2	4	no	—
186	C₃×D₃×Q₈	—	4	4	no	—
187	C₃×D₃×D₄	—	2	4	no	—
188	C₃×D₃×D₄	—	4	4	no	—
189	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
190	C₂×C₃×D₁₂	C₂³	1	2	yes	—
191	C₂×C₃×C₄×D₃	—	2	4	no	—
192	C₂×C₃×C₄×D₃	—	4	4	no	—
193	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
194	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
195	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
196	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
197	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
198	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
199	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
200	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
201	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
202	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
203	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
204	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
205	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
206	C₂×C₃×Dic₆	C₂³	1	2	yes	—
207	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
208	C₂×C₃×Dic₆	C₂³	1	2	yes	—
209	C₂×C₃×Dic₆	C₂³	1	2	yes	—
210	C₂×C₃×Dic₆	C₂³	1	2	yes	—
211	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
213	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
215	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
218	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₃²×C₄²	C₂³	1	1	yes	characteristic
226	C₃²×C₄²	C₂³	1	1	yes	characteristic
227	C₃²×C₄²	C₂³	1	2	yes	—
228	C₃×#217	C₂³	1	1	yes	characteristic
229	C₃×#217	C₂³	1	1	yes	characteristic
230	C₃×#217	C₂³	1	2	yes	—
231	C₃×#217	C₂³	1	2	yes	—
232	C₃×#217	C₂³	1	2	yes	—
233	C₃×#217	C₂³	1	2	yes	—
234	C₃×#217	C₂³	1	2	yes	—
235	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
236	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
237	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
238	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
239	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
240	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
241	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
242	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
243	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
244	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
245	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
246	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
247	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
248	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
249	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
250	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
251	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
252	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
253	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
254	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
255	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
256	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
257	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
260	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
261	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
262	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
263	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
264	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
265	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
266	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
267	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
268	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
269	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
270	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
271	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
272	C₃×C₄×Dic₃	C₂³	1	2	yes	—
273	C₃×C₄×Dic₃	C₂³	1	2	yes	—
274	C₃×C₄×Dic₃	C₂³	1	2	yes	—
275	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
276	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
277	C₂×#542	—	3	1	no	Sylow
278	C₂²×C₃×Q₈	—	3	1	no	—
279	C₂²×C₃×Q₈	—	3	2	no	—
280	C₂²×C₃×D₄	—	3	1	no	—
281	C₂²×C₃×D₄	—	3	2	no	—
282	C₂³×C₃×C₄	—	3	1	no	—
283	C₂³×C₃×C₄	—	3	2	no	—
284	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic
285	C₂×D₃×Q₈	C₂²×C₃	1	2	yes	—
286	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
287	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
288	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
289	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	—
290	C₃×C₄⋊Q₈	—	2	1	no	—
291	C₃×C₄⋊Q₈	—	3	2	no	—
292	C₃×C₄⋊Q₈	—	3	2	no	—
293	C₃×C₄⋊Q₈	—	3	1	no	—
294	C₃×C₄⋊Q₈	—	3	1	no	—
295	C₃×C₄⋊Q₈	—	3	1	no	—
296	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
297	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
298	C₃×#126	—	2	2	no	—
299	C₃×#126	—	3	2	no	—
300	C₃×#126	—	3	2	no	—
301	C₃×#126	—	3	2	no	—
302	C₃×#126	—	3	2	no	—
303	C₃×#126	—	3	2	no	—
304	C₃×#126	—	3	2	no	—
305	C₃×#126	—	3	2	no	—
306	C₃×#126	C₂×D₃	1	2	yes	complemented
307	C₃×#126	C₂²×C₃	1	2	yes	complemented
308	C₃×#124	—	2	1	no	—
309	C₃×#124	—	2	2	no	—
310	C₃×#124	—	3	1	no	—
311	C₃×#124	—	3	2	no	—
312	C₃×#124	—	3	1	no	—
313	C₃×#124	—	3	2	no	—
314	C₃×#124	—	3	2	no	—
315	C₃×#124	—	3	2	no	—
316	C₃×#124	—	3	2	no	—
317	C₃×#124	—	3	2	no	—
318	C₃×#124	—	3	2	no	—
319	C₃×#124	—	3	2	no	—
320	C₃×#124	—	3	1	no	—
321	C₃×#124	—	3	2	no	—
322	C₃×#124	C₂×D₃	1	1	yes	characteristic, complemented
323	C₃×#124	C₂×D₃	1	2	yes	complemented
324	C₃×#124	C₂²×C₃	1	2	yes	complemented
325	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
326	C₃×#123	—	2	2	no	—
327	C₃×#123	—	3	2	no	—
328	C₃×#123	—	3	2	no	—
329	C₃×#123	—	3	2	no	—
330	C₃×#123	—	3	2	no	—
331	C₃×#123	—	3	2	no	—
332	C₃×#123	—	3	2	no	—
333	C₃×#123	—	3	2	no	—
334	C₃×#123	C₂×D₃	1	2	yes	complemented
335	C₃×#123	C₂²×C₃	1	2	yes	complemented
336	C₃×C₂²⋊Q₈	—	2	2	no	—
337	C₃×C₂²⋊Q₈	—	2	1	no	—
338	C₃×C₂²⋊Q₈	—	3	2	no	—
339	C₃×C₂²⋊Q₈	—	3	1	no	—
340	C₃×C₂²⋊Q₈	—	3	2	no	—
341	C₃×C₂²⋊Q₈	—	3	1	no	—
342	C₃×C₂²⋊Q₈	—	3	2	no	—
343	C₃×C₂²⋊Q₈	—	3	2	no	—
344	C₃×C₂²⋊Q₈	—	3	2	no	—
345	C₃×C₂²⋊Q₈	—	3	2	no	—
346	C₃×C₂²⋊Q₈	—	3	1	no	—
347	C₃×C₂²⋊Q₈	—	3	2	no	—
348	C₃×C₂²⋊Q₈	—	3	2	no	—
349	C₃×C₂²⋊Q₈	—	3	2	no	—
350	C₃×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
351	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
352	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
353	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
354	C₃×#121	—	2	1	no	—
355	C₃×#121	—	3	1	no	—
356	C₃×#121	—	3	2	no	—
357	C₃×#121	—	3	1	no	—
358	C₃×#121	—	3	1	no	—
359	C₃×#121	—	3	2	no	—
360	C₃×#121	C₂×D₃	1	1	yes	characteristic
361	C₃×#121	C₂²×C₃	1	1	yes	characteristic
362	C₃×C₄×Q₈	—	2	1	no	—
363	C₃×C₄×Q₈	—	3	1	no	—
364	C₃×C₄×Q₈	—	3	2	no	—
365	C₃×C₄×Q₈	—	3	1	no	—
366	C₃×C₄×Q₈	—	3	2	no	—
367	C₃×C₄×Q₈	—	3	1	no	—
368	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
369	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
370	C₃×C₄×D₄	—	2	1	no	—
371	C₃×C₄×D₄	—	3	1	no	—
372	C₃×C₄×D₄	—	3	2	no	—
373	C₃×C₄×D₄	—	3	1	no	—
374	C₃×C₄×D₄	—	3	2	no	—
375	C₃×C₄×D₄	—	3	1	no	—
376	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
377	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
378	C₃×#117	—	2	1	no	—
379	C₃×#117	—	3	1	no	—
380	C₃×#117	—	3	1	no	—
381	C₃×#117	—	3	1	no	—
382	C₃×#117	—	3	1	no	—
383	C₃×#117	—	3	1	no	—
384	C₃×#117	—	3	1	no	—
385	C₃×#117	—	3	1	no	—
386	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
387	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
388	C₂×C₃×C₄⋊C₄	—	3	1	no	—
389	C₂×C₃×C₄⋊C₄	—	3	1	no	—
390	C₂×C₃×C₄⋊C₄	—	3	1	no	—
391	C₂×C₃×C₄⋊C₄	—	3	1	no	—
392	C₂×C₃×C₄⋊C₄	—	3	2	no	—
393	C₂×C₃×C₄⋊C₄	—	3	2	no	—
394	C₂×C₃×C₄⋊C₄	—	3	2	no	—
395	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
396	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
397	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
398	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
399	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
400	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
401	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
402	C₂×C₃×C₄²	—	3	1	no	—
403	C₂×C₃×C₄²	—	3	1	no	—
404	C₂×C₃×C₄²	—	3	2	no	—
405	#947	C₂²×C₃	1	2	yes	complemented
406	#947	C₂²×C₃	1	1	yes	characteristic, complemented
407	#946	C₂²×C₃	1	2	yes	complemented
408	#946	C₂²×C₃	1	1	yes	characteristic, complemented
409	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
410	#944	C₂²×C₃	1	2	yes	complemented
411	#939	C₂²×C₃	1	2	yes	—
412	#938	C₂²×C₃	1	1	yes	characteristic
413	#936	C₂²×C₃	1	2	yes	complemented
414	#936	C₂²×C₃	1	1	yes	characteristic, complemented
415	#935	C₂²×C₃	1	2	yes	complemented
416	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
417	#930	C₂²×C₃	1	1	yes	characteristic
418	#929	C₂²×C₃	1	2	yes	complemented
419	C₄×#67	C₂²×C₃	1	2	yes	complemented
420	#926	C₂²×C₃	1	1	yes	characteristic, complemented
421	#924	C₂²×C₃	1	2	yes	complemented
422	#924	C₂²×C₃	1	1	yes	characteristic, complemented
423	#898	C₂²×C₃	1	2	yes	complemented
424	#898	C₂²×C₃	1	2	yes	complemented
425	#898	C₂²×C₃	1	2	yes	complemented
426	#897	C₂²×C₃	1	2	yes	complemented
427	#897	C₂²×C₃	1	1	yes	characteristic, complemented
428	#896	C₂²×C₃	1	2	yes	complemented
429	#896	C₂²×C₃	1	2	yes	complemented
430	#896	C₂²×C₃	1	2	yes	complemented
431	#895	C₂²×C₃	1	1	yes	characteristic
432	#894	C₂²×C₃	1	2	yes	complemented
433	#894	C₂²×C₃	1	2	yes	complemented
434	#893	C₂²×C₃	1	1	yes	characteristic, complemented
435	#892	C₂²×C₃	1	1	yes	characteristic, complemented
436	#892	C₂²×C₃	1	1	yes	characteristic, complemented
437	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
438	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
439	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
440	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
441	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
442	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
443	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
444	#888	C₂²×C₃	1	1	yes	characteristic, complemented
445	#888	C₂²×C₃	1	2	yes	complemented
446	#888	C₂²×C₃	1	1	yes	characteristic, complemented
447	#887	C₂²×C₃	1	2	yes	complemented
448	#887	C₂²×C₃	1	1	yes	characteristic, complemented
449	#886	C₂²×C₃	1	2	yes	complemented
450	#885	C₂²×C₃	1	2	yes	complemented
451	#885	C₂²×C₃	1	2	yes	complemented
452	#885	C₂²×C₃	1	2	yes	complemented
453	#885	C₂²×C₃	1	2	yes	complemented
454	#885	C₂²×C₃	1	2	yes	complemented
455	#885	C₂²×C₃	1	2	yes	complemented
456	#884	C₂²×C₃	1	2	yes	—
457	#883	C₂²×C₃	1	2	yes	complemented
458	#883	C₂²×C₃	1	2	yes	complemented
459	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
460	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
461	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
462	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
463	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
464	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
465	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
466	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
467	#879	C₂²×C₃	1	2	yes	complemented
468	#879	C₂²×C₃	1	2	yes	complemented
469	#879	C₂²×C₃	1	2	yes	complemented
470	#878	C₂²×C₃	1	2	yes	complemented
471	#878	C₂²×C₃	1	2	yes	complemented
472	#878	C₂²×C₃	1	2	yes	complemented
473	#877	C₂²×C₃	1	1	yes	characteristic, complemented
474	#877	C₂²×C₃	1	1	yes	characteristic, complemented
475	#876	C₂²×C₃	1	2	yes	complemented
476	#875	C₂²×C₃	1	2	yes	complemented
477	#875	C₂²×C₃	1	1	yes	characteristic, complemented
478	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
479	#872	C₂²×C₃	1	1	yes	characteristic, complemented
480	#872	C₂²×C₃	1	1	yes	characteristic, complemented
481	C₄²×D₃	C₂²×C₃	1	2	yes	—
482	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
483	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
484	#869	C₂²×C₃	1	1	yes	characteristic, complemented
485	C₄×Dic₆	C₂²×C₃	1	2	yes	complemented
486	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
487	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
488	C₂³×C₃²	C₂⁴	1	2	yes	—
489	C₂²×C₃×D₃	—	2	2	no	—
490	C₂²×C₃×D₃	—	2	4	no	—
491	C₂²×C₃×D₃	—	2	4	no	—
492	C₂²×C₃×D₃	—	2	2	no	—
493	C₂²×C₃×D₃	—	2	2	no	—
494	C₂²×C₃×D₃	—	2	4	no	—
495	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
497	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
498	C₃²×Q₈	—	2	2	no	—
499	C₃²×Q₈	—	4	2	no	—
500	C₃²×D₄	—	2	2	no	—
501	C₃²×D₄	—	4	2	no	—
502	C₂×C₃²×C₄	—	2	2	no	—
503	C₂×C₃²×C₄	—	4	2	no	—
504	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
505	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
506	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
507	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
508	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
509	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
510	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
511	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
512	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
513	C₃×#67	—	2	4	no	—
514	C₃×#67	—	4	2	no	—
515	C₃×#67	—	4	2	no	—
516	C₂×C₃×Dic₃	—	2	2	no	—
517	C₂×C₃×Dic₃	—	4	2	no	—
518	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
519	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
521	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
522	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
523	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
526	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
527	C₃×D₁₂	—	2	2	no	—
528	C₃×D₁₂	—	4	2	no	—
529	C₃×C₄×D₃	—	2	2	no	—
530	C₃×C₄×D₃	—	2	4	no	—
531	C₃×C₄×D₃	—	2	2	no	—
532	C₃×C₄×D₃	—	2	4	no	—
533	C₃×C₄×D₃	—	2	4	no	—
534	C₃×C₄×D₃	—	2	2	no	—
535	C₃×C₄×D₃	—	2	2	no	—
536	C₃×C₄×D₃	—	2	2	no	—
537	C₃×C₄×D₃	—	2	2	no	—
538	C₃×C₄×D₃	—	2	2	no	—
539	C₃×C₄×D₃	—	4	2	no	—
540	C₃×C₄×D₃	—	4	2	no	—
541	C₃×C₄×D₃	#41	1	4	yes	—
542	C₃×Dic₆	—	2	2	no	—
543	C₃×Dic₆	—	2	4	no	—
544	C₃×Dic₆	—	4	2	no	—
545	C₃×Dic₆	—	4	2	no	—
546	C₃×Dic₆	—	4	2	no	—
547	#542	—	3	1	no	—
548	#542	—	3	2	no	—
549	#542	—	3	2	no	—
550	#542	—	3	1	no	—
551	#542	—	3	2	no	—
552	#542	—	3	2	no	—
553	#542	—	3	1	no	—
554	#542	—	3	1	no	—
555	#542	—	3	1	no	—
556	#542	—	3	1	no	—
557	#542	—	3	1	no	—
558	#542	C₃×D₃	1	1	yes	characteristic, direct product factor
559	C₂×C₄⋊Q₈	—	3	1	no	—
560	C₂×#126	—	3	2	no	—
561	C₂×#124	—	3	1	no	—
562	C₂×#124	—	3	2	no	—
563	C₂×#123	—	3	2	no	—
564	C₂×C₂²⋊Q₈	—	3	2	no	—
565	C₂×C₂²⋊Q₈	—	3	1	no	—
566	C₂×#121	—	3	1	no	—
567	C₂×C₄×Q₈	—	3	1	no	—
568	C₂×C₄×D₄	—	3	1	no	—
569	C₂×#117	—	3	1	no	—
570	C₂⁴×C₃	—	3	1	no	—
571	C₂⁴×C₃	—	3	2	no	—
572	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
573	C₂³×D₃	C₂³×C₃	1	2	yes	—
574	C₂×C₃×Q₈	—	2	1	no	—
575	C₂×C₃×Q₈	—	2	2	no	—
576	C₂×C₃×Q₈	—	3	2	no	—
577	C₂×C₃×Q₈	—	3	1	no	—
578	C₂×C₃×Q₈	—	3	2	no	—
579	C₂×C₃×Q₈	—	3	2	no	—
580	C₂×C₃×Q₈	—	3	2	no	—
581	C₂×C₃×Q₈	—	6	4	no	—
582	C₂×C₃×Q₈	—	12	4	no	—
583	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
584	C₂×C₃×Q₈	C₂²×D₃	1	2	yes	—
585	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
586	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
587	C₂×C₃×D₄	—	2	1	no	—
588	C₂×C₃×D₄	—	2	2	no	—
589	C₂×C₃×D₄	—	3	2	no	—
590	C₂×C₃×D₄	—	3	2	no	—
591	C₂×C₃×D₄	—	3	2	no	—
592	C₂×C₃×D₄	—	3	1	no	—
593	C₂×C₃×D₄	—	3	2	no	—
594	C₂×C₃×D₄	—	6	4	no	—
595	C₂×C₃×D₄	—	12	4	no	—
596	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
597	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
598	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
599	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
600	C₂²×C₃×C₄	—	2	1	no	—
601	C₂²×C₃×C₄	—	2	2	no	—
602	C₂²×C₃×C₄	—	3	1	no	—
603	C₂²×C₃×C₄	—	3	1	no	—
604	C₂²×C₃×C₄	—	3	2	no	—
605	C₂²×C₃×C₄	—	3	1	no	—
606	C₂²×C₃×C₄	—	3	1	no	—
607	C₂²×C₃×C₄	—	3	2	no	—
608	C₂²×C₃×C₄	—	3	1	no	—
609	C₂²×C₃×C₄	—	3	1	no	—
610	C₂²×C₃×C₄	—	3	2	no	—
611	C₂²×C₃×C₄	—	3	1	no	—
612	C₂²×C₃×C₄	—	3	2	no	—
613	C₂²×C₃×C₄	—	3	1	no	—
614	C₂²×C₃×C₄	—	3	1	no	—
615	C₂²×C₃×C₄	—	3	2	no	—
616	C₂²×C₃×C₄	—	3	2	no	—
617	C₂²×C₃×C₄	—	6	4	no	—
618	C₂²×C₃×C₄	—	12	4	no	—
619	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
621	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
622	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
623	C₂×#67	C₂³×C₃	1	2	yes	—
624	C₂×#67	C₂³×C₃	1	2	yes	—
625	C₂×#67	C₂³×C₃	1	2	yes	—
626	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
627	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
628	D₃×Q₈	—	2	4	no	—
629	D₃×Q₈	—	4	4	no	—
630	D₃×D₄	—	2	4	no	—
631	D₃×D₄	—	4	4	no	—
632	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
633	C₂×D₁₂	C₂³×C₃	1	2	yes	—
634	C₂×C₄×D₃	—	2	4	no	—
635	C₂×C₄×D₃	—	4	4	no	—
636	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
637	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
638	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
639	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
640	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
641	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
642	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
643	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
644	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
645	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
646	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
647	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
648	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
649	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
650	C₂×Dic₆	C₂³×C₃	1	2	yes	—
651	C₂×Dic₆	C₂³×C₃	1	2	yes	—
652	C₂×Dic₆	C₂³×C₃	1	2	yes	—
653	C₂×Dic₆	C₂³×C₃	1	2	yes	—
654	C₃×C₄⋊C₄	—	2	1	no	—
655	C₃×C₄⋊C₄	—	2	1	no	—
656	C₃×C₄⋊C₄	—	2	1	no	—
657	C₃×C₄⋊C₄	—	2	1	no	—
658	C₃×C₄⋊C₄	—	2	2	no	—
659	C₃×C₄⋊C₄	—	2	2	no	—
660	C₃×C₄⋊C₄	—	2	2	no	—
661	C₃×C₄⋊C₄	—	3	1	no	—
662	C₃×C₄⋊C₄	—	3	1	no	—
663	C₃×C₄⋊C₄	—	3	1	no	—
664	C₃×C₄⋊C₄	—	3	1	no	—
665	C₃×C₄⋊C₄	—	3	2	no	—
666	C₃×C₄⋊C₄	—	3	2	no	—
667	C₃×C₄⋊C₄	—	3	2	no	—
668	C₃×C₄⋊C₄	—	3	2	no	—
669	C₃×C₄⋊C₄	—	3	2	no	—
670	C₃×C₄⋊C₄	—	3	2	no	—
671	C₃×C₄⋊C₄	—	3	2	no	—
672	C₃×C₄⋊C₄	—	3	2	no	—
673	C₃×C₄⋊C₄	—	3	1	no	—
674	C₃×C₄⋊C₄	—	3	1	no	—
675	C₃×C₄⋊C₄	—	3	1	no	—
676	C₃×C₄⋊C₄	—	3	1	no	—
677	C₃×C₄⋊C₄	—	3	2	no	—
678	C₃×C₄⋊C₄	—	3	2	no	—
679	C₃×C₄⋊C₄	—	3	2	no	—
680	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
681	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
682	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
683	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
684	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
685	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
686	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
687	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
688	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
689	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
690	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
691	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
692	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
693	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
694	C₃×C₂²⋊C₄	—	2	1	no	—
695	C₃×C₂²⋊C₄	—	2	1	no	—
696	C₃×C₂²⋊C₄	—	2	2	no	—
697	C₃×C₂²⋊C₄	—	2	2	no	—
698	C₃×C₂²⋊C₄	—	2	2	no	—
699	C₃×C₂²⋊C₄	—	2	2	no	—
700	C₃×C₂²⋊C₄	—	2	2	no	—
701	C₃×C₂²⋊C₄	—	3	1	no	—
702	C₃×C₂²⋊C₄	—	3	1	no	—
703	C₃×C₂²⋊C₄	—	3	2	no	—
704	C₃×C₂²⋊C₄	—	3	2	no	—
705	C₃×C₂²⋊C₄	—	3	2	no	—
706	C₃×C₂²⋊C₄	—	3	2	no	—
707	C₃×C₂²⋊C₄	—	3	2	no	—
708	C₃×C₂²⋊C₄	—	3	1	no	—
709	C₃×C₂²⋊C₄	—	3	1	no	—
710	C₃×C₂²⋊C₄	—	3	1	no	—
711	C₃×C₂²⋊C₄	—	3	1	no	—
712	C₃×C₂²⋊C₄	—	3	2	no	—
713	C₃×C₂²⋊C₄	—	3	2	no	—
714	C₃×C₂²⋊C₄	—	3	2	no	—
715	C₃×C₂²⋊C₄	—	3	2	no	—
716	C₃×C₂²⋊C₄	—	3	2	no	—
717	C₃×C₂²⋊C₄	—	3	2	no	—
718	C₃×C₂²⋊C₄	—	3	2	no	—
719	C₃×C₂²⋊C₄	—	3	2	no	—
720	C₃×C₂²⋊C₄	—	3	2	no	—
721	C₃×C₂²⋊C₄	—	3	2	no	—
722	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
723	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
724	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
725	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
726	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
727	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
728	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
729	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
730	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
731	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
732	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
733	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
734	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
735	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
736	C₃×C₄²	—	2	1	no	—
737	C₃×C₄²	—	2	1	no	—
738	C₃×C₄²	—	2	2	no	—
739	C₃×C₄²	—	3	1	no	—
740	C₃×C₄²	—	3	1	no	—
741	C₃×C₄²	—	3	1	no	—
742	C₃×C₄²	—	3	1	no	—
743	C₃×C₄²	—	3	1	no	—
744	C₃×C₄²	—	3	1	no	—
745	C₃×C₄²	—	3	2	no	—
746	C₃×C₄²	—	3	2	no	—
747	C₃×C₄²	—	3	2	no	—
748	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
749	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
750	C₃×C₄²	C₂²×D₃	1	2	yes	—
751	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
752	C₃×C₄²	C₂³×C₃	1	2	yes	—
753	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
754	#217	C₂³×C₃	1	1	yes	characteristic
755	#217	C₂³×C₃	1	1	yes	characteristic
756	#217	C₂³×C₃	1	2	yes	—
757	#217	C₂³×C₃	1	2	yes	—
758	#217	C₂³×C₃	1	2	yes	—
759	#217	C₂³×C₃	1	2	yes	—
760	#217	C₂³×C₃	1	2	yes	—
761	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
764	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
766	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
767	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
768	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
769	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
770	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
771	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
772	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
773	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
774	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
775	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
776	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
777	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
778	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
779	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
780	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
781	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
782	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
783	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
784	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
785	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
786	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
788	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
790	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
791	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
792	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
793	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
794	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
795	C₄×Dic₃	C₂³×C₃	1	2	yes	—
796	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
797	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
798	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
799	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
800	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
801	C₄×Dic₃	C₂³×C₃	1	2	yes	—
802	C₄×Dic₃	C₂³×C₃	1	2	yes	—
803	C₂²×C₃²	—	2	1	no	—
804	C₂²×C₃²	—	2	2	no	—
805	C₂²×C₃²	—	2	2	no	—
806	C₂²×C₃²	—	2	1	no	—
807	C₂²×C₃²	—	2	1	no	—
808	C₂²×C₃²	—	2	2	no	—
809	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
810	C₂×C₃×D₃	—	2	1	no	—
811	C₂×C₃×D₃	—	2	2	no	—
812	C₂×C₃×D₃	—	2	2	no	—
813	C₂×C₃×D₃	—	2	1	no	—
814	C₂×C₃×D₃	—	2	1	no	—
815	C₂×C₃×D₃	—	2	2	no	—
816	C₂×C₃×D₃	—	4	4	no	—
817	C₂×C₃×D₃	—	4	8	no	—
818	C₂×C₃×D₃	C₂×#41	1	2	yes	—
819	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
820	C₂×C₃×D₃	2₋¹⁺⁴	1	2	yes	—
821	C₃²×C₄	—	2	2	no	—
822	C₃²×C₄	—	2	1	no	—
823	C₃²×C₄	—	2	1	no	—
824	C₃²×C₄	—	2	2	no	—
825	C₃²×C₄	—	2	2	no	—
826	C₃²×C₄	—	2	1	no	—
827	C₃²×C₄	—	2	1	no	—
828	C₃²×C₄	—	2	1	no	—
829	C₃²×C₄	C₂×#41	1	2	yes	—
830	C₃×Dic₃	—	2	2	no	—
831	C₃×Dic₃	—	2	1	no	—
832	C₃×Dic₃	—	2	1	no	—
833	C₃×Dic₃	—	2	2	no	—
834	C₃×Dic₃	—	2	2	no	—
835	C₃×Dic₃	—	2	1	no	—
836	C₃×Dic₃	—	2	1	no	—
837	C₃×Dic₃	—	2	1	no	—
838	C₃×Dic₃	C₂×#41	1	2	yes	—
839	C₂²×Q₈	—	3	1	no	—
840	C₂²×Q₈	—	3	2	no	—
841	C₂²×D₄	—	3	1	no	—
842	C₂²×D₄	—	3	2	no	—
843	C₂³×C₄	—	3	1	no	—
844	C₂³×C₄	—	3	2	no	—
845	C₄⋊Q₈	—	3	2	no	—
846	C₄⋊Q₈	—	3	2	no	—
847	C₄⋊Q₈	—	3	1	no	—
848	C₄⋊Q₈	—	3	1	no	—
849	C₄⋊Q₈	—	3	1	no	—
850	C₄⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
851	#126	—	3	2	no	—
852	#126	—	3	2	no	—
853	#126	—	3	2	no	—
854	#126	—	3	2	no	—
855	#126	—	3	2	no	—
856	#126	—	3	2	no	—
857	#126	—	3	2	no	—
858	#126	C₂×C₃×D₃	1	2	yes	complemented
859	#124	—	3	1	no	—
860	#124	—	3	2	no	—
861	#124	—	3	1	no	—
862	#124	—	3	2	no	—
863	#124	—	3	2	no	—
864	#124	—	3	2	no	—
865	#124	—	3	2	no	—
866	#124	—	3	2	no	—
867	#124	—	3	2	no	—
868	#124	—	3	2	no	—
869	#124	—	3	1	no	—
870	#124	—	3	2	no	—
871	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
872	#124	C₂×C₃×D₃	1	2	yes	complemented
873	#123	—	3	2	no	—
874	#123	—	3	2	no	—
875	#123	—	3	2	no	—
876	#123	—	3	2	no	—
877	#123	—	3	2	no	—
878	#123	—	3	2	no	—
879	#123	—	3	2	no	—
880	#123	C₂×C₃×D₃	1	2	yes	complemented
881	C₂²⋊Q₈	—	3	2	no	—
882	C₂²⋊Q₈	—	3	1	no	—
883	C₂²⋊Q₈	—	3	2	no	—
884	C₂²⋊Q₈	—	3	1	no	—
885	C₂²⋊Q₈	—	3	2	no	—
886	C₂²⋊Q₈	—	3	2	no	—
887	C₂²⋊Q₈	—	3	2	no	—
888	C₂²⋊Q₈	—	3	2	no	—
889	C₂²⋊Q₈	—	3	1	no	—
890	C₂²⋊Q₈	—	3	2	no	—
891	C₂²⋊Q₈	—	3	2	no	—
892	C₂²⋊Q₈	—	3	2	no	—
893	C₂²⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
894	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
895	#121	—	3	1	no	—
896	#121	—	3	2	no	—
897	#121	—	3	1	no	—
898	#121	—	3	1	no	—
899	#121	—	3	2	no	—
900	#121	C₂×C₃×D₃	1	1	yes	characteristic
901	C₄×Q₈	—	3	1	no	—
902	C₄×Q₈	—	3	2	no	—
903	C₄×Q₈	—	3	1	no	—
904	C₄×Q₈	—	3	2	no	—
905	C₄×Q₈	—	3	1	no	—
906	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
907	C₄×D₄	—	3	1	no	—
908	C₄×D₄	—	3	2	no	—
909	C₄×D₄	—	3	1	no	—
910	C₄×D₄	—	3	2	no	—
911	C₄×D₄	—	3	1	no	—
912	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
913	#117	—	3	1	no	—
914	#117	—	3	1	no	—
915	#117	—	3	1	no	—
916	#117	—	3	1	no	—
917	#117	—	3	1	no	—
918	#117	—	3	1	no	—
919	#117	—	3	1	no	—
920	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
921	C₂×C₄⋊C₄	—	3	1	no	—
922	C₂×C₄⋊C₄	—	3	1	no	—
923	C₂×C₄⋊C₄	—	3	1	no	—
924	C₂×C₄⋊C₄	—	3	1	no	—
925	C₂×C₄⋊C₄	—	3	2	no	—
926	C₂×C₄⋊C₄	—	3	2	no	—
927	C₂×C₄⋊C₄	—	3	2	no	—
928	C₂×C₂²⋊C₄	—	3	1	no	—
929	C₂×C₂²⋊C₄	—	3	1	no	—
930	C₂×C₂²⋊C₄	—	3	2	no	—
931	C₂×C₂²⋊C₄	—	3	2	no	—
932	C₂×C₂²⋊C₄	—	3	2	no	—
933	C₂×C₂²⋊C₄	—	3	2	no	—
934	C₂×C₂²⋊C₄	—	3	2	no	—
935	C₂×C₄²	—	3	1	no	—
936	C₂×C₄²	—	3	1	no	—
937	C₂×C₄²	—	3	2	no	—
938	C₂³×C₃	—	2	1	no	—
939	C₂³×C₃	—	2	2	no	—
940	C₂³×C₃	—	3	1	no	—
941	C₂³×C₃	—	3	1	no	—
942	C₂³×C₃	—	3	2	no	—
943	C₂³×C₃	—	6	2	no	—
944	C₂³×C₃	—	6	4	no	—
945	C₂³×C₃	—	6	4	no	—
946	C₂³×C₃	—	6	2	no	—
947	C₂³×C₃	—	6	2	no	—
948	C₂³×C₃	—	6	4	no	—
949	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
950	C₂³×C₃	C₂³×D₃	1	2	yes	—
951	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
952	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
953	C₂²×D₃	—	2	2	no	—
954	C₂²×D₃	—	2	4	no	—
955	C₂²×D₃	—	2	4	no	—
956	C₂²×D₃	—	2	2	no	—
957	C₂²×D₃	—	2	2	no	—
958	C₂²×D₃	—	2	4	no	—
959	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
960	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
961	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
962	C₃×Q₈	—	2	2	no	—
963	C₃×Q₈	—	2	2	no	—
964	C₃×Q₈	—	4	2	no	—
965	C₃×Q₈	—	4	2	no	—
966	C₃×Q₈	—	4	2	no	—
967	C₃×Q₈	—	6	4	no	—
968	C₃×Q₈	—	6	2	no	—
969	C₃×Q₈	—	8	2	no	—
970	C₃×Q₈	—	12	2	no	—
971	C₃×Q₈	—	12	2	no	—
972	C₃×Q₈	—	12	2	no	—
973	C₃×D₄	—	2	2	no	—
974	C₃×D₄	—	2	2	no	—
975	C₃×D₄	—	4	2	no	—
976	C₃×D₄	—	4	2	no	—
977	C₃×D₄	—	4	2	no	—
978	C₃×D₄	—	6	4	no	—
979	C₃×D₄	—	6	2	no	—
980	C₃×D₄	—	8	2	no	—
981	C₃×D₄	—	12	2	no	—
982	C₃×D₄	—	12	2	no	—
983	C₃×D₄	—	12	2	no	—
984	C₂×C₃×C₄	—	2	2	no	—
985	C₂×C₃×C₄	—	2	2	no	—
986	C₂×C₃×C₄	—	2	1	no	—
987	C₂×C₃×C₄	—	2	1	no	—
988	C₂×C₃×C₄	—	2	1	no	—
989	C₂×C₃×C₄	—	2	2	no	—
990	C₂×C₃×C₄	—	2	1	no	—
991	C₂×C₃×C₄	—	2	1	no	—
992	C₂×C₃×C₄	—	2	2	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	2	no	—
995	C₂×C₃×C₄	—	3	1	no	—
996	C₂×C₃×C₄	—	3	4	no	—
997	C₂×C₃×C₄	—	3	1	no	—
998	C₂×C₃×C₄	—	3	1	no	—
999	C₂×C₃×C₄	—	3	2	no	—
1000	C₂×C₃×C₄	—	3	1	no	—
1001	C₂×C₃×C₄	—	3	1	no	—
1002	C₂×C₃×C₄	—	3	2	no	—
1003	C₂×C₃×C₄	—	3	1	no	—
1004	C₂×C₃×C₄	—	3	2	no	—
1005	C₂×C₃×C₄	—	4	2	no	—
1006	C₂×C₃×C₄	—	4	2	no	—
1007	C₂×C₃×C₄	—	4	2	no	—
1008	C₂×C₃×C₄	—	6	2	no	—
1009	C₂×C₃×C₄	—	6	2	no	—
1010	C₂×C₃×C₄	—	6	2	no	—
1011	C₂×C₃×C₄	—	6	2	no	—
1012	C₂×C₃×C₄	—	6	2	no	—
1013	C₂×C₃×C₄	—	6	4	no	—
1014	C₂×C₃×C₄	—	6	4	no	—
1015	C₂×C₃×C₄	—	6	4	no	—
1016	C₂×C₃×C₄	—	6	2	no	—
1017	C₂×C₃×C₄	—	6	2	no	—
1018	C₂×C₃×C₄	—	6	2	no	—
1019	C₂×C₃×C₄	—	8	2	no	—
1020	C₂×C₃×C₄	—	12	2	no	—
1021	C₂×C₃×C₄	—	12	2	no	—
1022	C₂×C₃×C₄	—	12	2	no	—
1023	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1024	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1025	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1026	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1027	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1028	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1029	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1030	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1031	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1032	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1033	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1034	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1035	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1036	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1037	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1038	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1039	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1040	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1041	#67	—	2	4	no	—
1042	#67	—	4	2	no	—
1043	#67	—	4	2	no	—
1044	C₂×Dic₃	—	2	2	no	—
1045	C₂×Dic₃	—	4	2	no	—
1046	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1048	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1049	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1050	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1051	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1052	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1053	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1054	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1055	D₁₂	—	2	2	no	—
1056	D₁₂	—	4	2	no	—
1057	C₄×D₃	—	2	2	no	—
1058	C₄×D₃	—	2	4	no	—
1059	C₄×D₃	—	2	2	no	—
1060	C₄×D₃	—	2	4	no	—
1061	C₄×D₃	—	2	4	no	—
1062	C₄×D₃	—	2	2	no	—
1063	C₄×D₃	—	2	2	no	—
1064	C₄×D₃	—	2	2	no	—
1065	C₄×D₃	—	2	2	no	—
1066	C₄×D₃	—	2	2	no	—
1067	C₄×D₃	—	4	2	no	—
1068	C₄×D₃	—	4	2	no	—
1069	C₄×D₃	C₃×#41	1	4	yes	—
1070	Dic₆	—	2	2	no	—
1071	Dic₆	—	2	4	no	—
1072	Dic₆	—	4	2	no	—
1073	Dic₆	—	4	2	no	—
1074	Dic₆	—	4	2	no	—
1075	C₂×C₃²	—	4	1	no	—
1076	C₂×C₃²	—	4	2	no	—
1077	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1078	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1079	C₂×C₃²	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1080	C₃×D₃	—	4	1	no	—
1081	C₃×D₃	—	4	2	no	—
1082	C₃×D₃	#542	1	4	yes	direct product factor
1083	C₂⁴	—	3	1	no	—
1084	C₂⁴	—	3	2	no	—
1085	C₂×Q₈	—	3	2	no	—
1086	C₂×Q₈	—	3	1	no	—
1087	C₂×Q₈	—	3	2	no	—
1088	C₂×Q₈	—	3	2	no	—
1089	C₂×Q₈	—	3	2	no	—
1090	C₂×Q₈	—	6	4	no	—
1091	C₂×Q₈	—	12	4	no	—
1092	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1093	C₂×Q₈	C₂²×C₃×D₃	1	2	yes	—
1094	C₂×D₄	—	3	2	no	—
1095	C₂×D₄	—	3	2	no	—
1096	C₂×D₄	—	3	2	no	—
1097	C₂×D₄	—	3	1	no	—
1098	C₂×D₄	—	3	2	no	—
1099	C₂×D₄	—	6	4	no	—
1100	C₂×D₄	—	12	4	no	—
1101	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1102	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1103	C₂²×C₄	—	3	1	no	—
1104	C₂²×C₄	—	3	1	no	—
1105	C₂²×C₄	—	3	2	no	—
1106	C₂²×C₄	—	3	1	no	—
1107	C₂²×C₄	—	3	1	no	—
1108	C₂²×C₄	—	3	2	no	—
1109	C₂²×C₄	—	3	1	no	—
1110	C₂²×C₄	—	3	1	no	—
1111	C₂²×C₄	—	3	2	no	—
1112	C₂²×C₄	—	3	1	no	—
1113	C₂²×C₄	—	3	2	no	—
1114	C₂²×C₄	—	3	1	no	—
1115	C₂²×C₄	—	3	1	no	—
1116	C₂²×C₄	—	3	2	no	—
1117	C₂²×C₄	—	3	2	no	—
1118	C₂²×C₄	—	6	4	no	—
1119	C₂²×C₄	—	12	4	no	—
1120	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1122	C₄⋊C₄	—	3	1	no	—
1123	C₄⋊C₄	—	3	1	no	—
1124	C₄⋊C₄	—	3	1	no	—
1125	C₄⋊C₄	—	3	1	no	—
1126	C₄⋊C₄	—	3	1	no	—
1127	C₄⋊C₄	—	3	1	no	—
1128	C₄⋊C₄	—	3	2	no	—
1129	C₄⋊C₄	—	3	1	no	—
1130	C₄⋊C₄	—	3	2	no	—
1131	C₄⋊C₄	—	3	1	no	—
1132	C₄⋊C₄	—	3	2	no	—
1133	C₄⋊C₄	—	3	2	no	—
1134	C₄⋊C₄	—	3	2	no	—
1135	C₄⋊C₄	—	3	2	no	—
1136	C₄⋊C₄	—	3	2	no	—
1137	C₄⋊C₄	—	3	2	no	—
1138	C₄⋊C₄	—	3	2	no	—
1139	C₄⋊C₄	—	3	2	no	—
1140	C₄⋊C₄	—	3	2	no	—
1141	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1142	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1143	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1144	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1145	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1146	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1147	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1148	C₂²⋊C₄	—	3	1	no	—
1149	C₂²⋊C₄	—	3	1	no	—
1150	C₂²⋊C₄	—	3	2	no	—
1151	C₂²⋊C₄	—	3	2	no	—
1152	C₂²⋊C₄	—	3	2	no	—
1153	C₂²⋊C₄	—	3	2	no	—
1154	C₂²⋊C₄	—	3	2	no	—
1155	C₂²⋊C₄	—	3	1	no	—
1156	C₂²⋊C₄	—	3	1	no	—
1157	C₂²⋊C₄	—	3	1	no	—
1158	C₂²⋊C₄	—	3	1	no	—
1159	C₂²⋊C₄	—	3	2	no	—
1160	C₂²⋊C₄	—	3	2	no	—
1161	C₂²⋊C₄	—	3	2	no	—
1162	C₂²⋊C₄	—	3	2	no	—
1163	C₂²⋊C₄	—	3	2	no	—
1164	C₂²⋊C₄	—	3	2	no	—
1165	C₂²⋊C₄	—	3	2	no	—
1166	C₂²⋊C₄	—	3	2	no	—
1167	C₂²⋊C₄	—	3	2	no	—
1168	C₂²⋊C₄	—	3	2	no	—
1169	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1170	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1171	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1172	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1173	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1174	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1175	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1176	C₄²	—	3	1	no	—
1177	C₄²	—	3	1	no	—
1178	C₄²	—	3	1	no	—
1179	C₄²	—	3	1	no	—
1180	C₄²	—	3	1	no	—
1181	C₄²	—	3	1	no	—
1182	C₄²	—	3	2	no	—
1183	C₄²	—	3	2	no	—
1184	C₄²	—	3	2	no	—
1185	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1186	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1187	C₄²	C₂²×C₃×D₃	1	2	yes	—
1188	C₂²×C₃	—	2	1	no	—
1189	C₂²×C₃	—	2	2	no	—
1190	C₂²×C₃	—	2	2	no	—
1191	C₂²×C₃	—	2	1	no	—
1192	C₂²×C₃	—	2	1	no	—
1193	C₂²×C₃	—	2	2	no	—
1194	C₂²×C₃	—	2	1	no	—
1195	C₂²×C₃	—	2	2	no	—
1196	C₂²×C₃	—	2	2	no	—
1197	C₂²×C₃	—	2	1	no	—
1198	C₂²×C₃	—	2	1	no	—
1199	C₂²×C₃	—	2	2	no	—
1200	C₂²×C₃	—	2	1	no	—
1201	C₂²×C₃	—	3	2	no	—
1202	C₂²×C₃	—	3	2	no	—
1203	C₂²×C₃	—	3	2	no	—
1204	C₂²×C₃	—	4	1	no	—
1205	C₂²×C₃	—	4	2	no	—
1206	C₂²×C₃	—	4	2	no	—
1207	C₂²×C₃	—	4	1	no	—
1208	C₂²×C₃	—	4	1	no	—
1209	C₂²×C₃	—	4	2	no	—
1210	C₂²×C₃	—	6	1	no	—
1211	C₂²×C₃	—	6	2	no	—
1212	C₂²×C₃	—	6	2	no	—
1213	C₂²×C₃	—	6	1	no	—
1214	C₂²×C₃	—	6	1	no	—
1215	C₂²×C₃	—	6	2	no	—
1216	C₂²×C₃	—	12	4	no	—
1217	C₂²×C₃	—	12	8	no	—
1218	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1219	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1220	C₂×D₃	—	2	1	no	—
1221	C₂×D₃	—	2	2	no	—
1222	C₂×D₃	—	2	2	no	—
1223	C₂×D₃	—	2	1	no	—
1224	C₂×D₃	—	2	1	no	—
1225	C₂×D₃	—	2	2	no	—
1226	C₂×D₃	—	4	4	no	—
1227	C₂×D₃	—	4	8	no	—
1228	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1229	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
1230	C₂×D₃	C₃×2₋¹⁺⁴	1	2	yes	—
1231	C₃×C₄	—	2	1	no	—
1232	C₃×C₄	—	2	2	no	—
1233	C₃×C₄	—	2	1	no	—
1234	C₃×C₄	—	2	2	no	—
1235	C₃×C₄	—	2	2	no	—
1236	C₃×C₄	—	2	1	no	—
1237	C₃×C₄	—	2	1	no	—
1238	C₃×C₄	—	2	1	no	—
1239	C₃×C₄	—	2	2	no	—
1240	C₃×C₄	—	2	1	no	—
1241	C₃×C₄	—	2	1	no	—
1242	C₃×C₄	—	2	2	no	—
1243	C₃×C₄	—	2	2	no	—
1244	C₃×C₄	—	2	1	no	—
1245	C₃×C₄	—	2	1	no	—
1246	C₃×C₄	—	2	1	no	—
1247	C₃×C₄	—	2	2	no	—
1248	C₃×C₄	—	3	2	no	—
1249	C₃×C₄	—	4	1	no	—
1250	C₃×C₄	—	4	1	no	—
1251	C₃×C₄	—	4	2	no	—
1252	C₃×C₄	—	4	2	no	—
1253	C₃×C₄	—	4	2	no	—
1254	C₃×C₄	—	4	1	no	—
1255	C₃×C₄	—	4	1	no	—
1256	C₃×C₄	—	4	1	no	—
1257	C₃×C₄	—	6	1	no	—
1258	C₃×C₄	—	6	2	no	—
1259	C₃×C₄	—	6	1	no	—
1260	C₃×C₄	—	6	2	no	—
1261	C₃×C₄	—	6	2	no	—
1262	C₃×C₄	—	6	1	no	—
1263	C₃×C₄	—	6	1	no	—
1264	C₃×C₄	—	6	1	no	—
1265	C₃×C₄	D₃×#41	1	2	yes	—
1266	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1267	Dic₃	—	2	2	no	—
1268	Dic₃	—	2	1	no	—
1269	Dic₃	—	2	1	no	—
1270	Dic₃	—	2	2	no	—
1271	Dic₃	—	2	2	no	—
1272	Dic₃	—	2	1	no	—
1273	Dic₃	—	2	1	no	—
1274	Dic₃	—	2	1	no	—
1275	Dic₃	C₂×C₃×#41	1	2	yes	—
1276	C₃²	C₂×#542	1	1	yes	characteristic, complemented, Sylow
1277	C₂³	—	3	1	no	—
1278	C₂³	—	3	1	no	—
1279	C₂³	—	3	2	no	—
1280	C₂³	—	6	2	no	—
1281	C₂³	—	6	4	no	—
1282	C₂³	—	6	4	no	—
1283	C₂³	—	6	2	no	—
1284	C₂³	—	6	2	no	—
1285	C₂³	—	6	4	no	—
1286	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1287	C₂³	C₂³×C₃×D₃	1	2	yes	—
1288	Q₈	—	2	2	no	—
1289	Q₈	—	4	2	no	—
1290	Q₈	—	6	4	no	—
1291	Q₈	—	6	2	no	—
1292	Q₈	—	12	2	no	—
1293	Q₈	—	12	2	no	—
1294	Q₈	—	12	2	no	—
1295	D₄	—	2	2	no	—
1296	D₄	—	4	2	no	—
1297	D₄	—	6	4	no	—
1298	D₄	—	6	2	no	—
1299	D₄	—	12	2	no	—
1300	D₄	—	12	2	no	—
1301	D₄	—	12	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	3	1	no	—
1304	C₂×C₄	—	3	4	no	—
1305	C₂×C₄	—	3	1	no	—
1306	C₂×C₄	—	3	1	no	—
1307	C₂×C₄	—	3	2	no	—
1308	C₂×C₄	—	3	1	no	—
1309	C₂×C₄	—	3	1	no	—
1310	C₂×C₄	—	3	2	no	—
1311	C₂×C₄	—	3	1	no	—
1312	C₂×C₄	—	3	2	no	—
1313	C₂×C₄	—	4	2	no	—
1314	C₂×C₄	—	6	2	no	—
1315	C₂×C₄	—	6	2	no	—
1316	C₂×C₄	—	6	2	no	—
1317	C₂×C₄	—	6	4	no	—
1318	C₂×C₄	—	6	4	no	—
1319	C₂×C₄	—	6	4	no	—
1320	C₂×C₄	—	6	2	no	—
1321	C₂×C₄	—	6	2	no	—
1322	C₂×C₄	—	6	2	no	—
1323	C₂×C₄	—	6	2	no	—
1324	C₂×C₄	—	6	2	no	—
1325	C₂×C₄	—	12	2	no	—
1326	C₂×C₄	—	12	2	no	—
1327	C₂×C₄	—	12	2	no	—
1328	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1329	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1330	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1331	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1332	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1333	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1334	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1335	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1336	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1337	C₂×C₃	—	2	1	no	—
1338	C₂×C₃	—	2	1	no	—
1339	C₂×C₃	—	2	1	no	—
1340	C₂×C₃	—	3	4	no	—
1341	C₂×C₃	—	4	1	no	—
1342	C₂×C₃	—	4	2	no	—
1343	C₂×C₃	—	4	1	no	—
1344	C₂×C₃	—	4	2	no	—
1345	C₂×C₃	—	8	1	no	—
1346	C₂×C₃	—	8	2	no	—
1347	C₂×C₃	—	12	1	no	—
1348	C₂×C₃	—	12	2	no	—
1349	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1350	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1351	C₂×C₃	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1352	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1353	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1354	C₂×C₃	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1355	D₃	—	4	1	no	—
1356	D₃	—	4	2	no	—
1357	D₃	C₃×#542	1	4	yes	direct product factor
1358	C₂²	—	2	1	no	—
1359	C₂²	—	2	2	no	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	3	2	no	—
1365	C₂²	—	3	2	no	—
1366	C₂²	—	3	2	no	—
1367	C₂²	—	6	1	no	—
1368	C₂²	—	6	2	no	—
1369	C₂²	—	6	2	no	—
1370	C₂²	—	6	1	no	—
1371	C₂²	—	6	1	no	—
1372	C₂²	—	6	2	no	—
1373	C₂²	—	12	4	no	—
1374	C₂²	—	12	8	no	—
1375	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1376	C₄	—	2	1	no	—
1377	C₄	—	2	2	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	2	no	—
1380	C₄	—	2	2	no	—
1381	C₄	—	2	1	no	—
1382	C₄	—	2	1	no	—
1383	C₄	—	2	1	no	—
1384	C₄	—	3	2	no	—
1385	C₄	—	6	1	no	—
1386	C₄	—	6	2	no	—
1387	C₄	—	6	1	no	—
1388	C₄	—	6	2	no	—
1389	C₄	—	6	2	no	—
1390	C₄	—	6	1	no	—
1391	C₄	—	6	1	no	—
1392	C₄	—	6	1	no	—
1393	C₄	C₃×D₃×#41	1	2	yes	—
1394	C₃	—	2	1	no	—
1395	C₃	D₃×#542	1	1	yes	characteristic, direct product factor
1396	C₃	C₂×C₃×#542	1	1	yes	characteristic, complemented
1397	C₂	—	3	4	no	—
1398	C₂	—	4	1	no	—
1399	C₂	—	4	2	no	—
1400	C₂	—	12	1	no	—
1401	C₂	—	12	2	no	—
1402	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1403	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1404	C₂	C₃×D₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#542	C₂
socle	C₂²×C₃²	C₂⁵
prime radical	C₃×D₃×#121	C₂
hypercenter	C₃×#542	D₃
hypocenter	C₃	C₂×C₃×#542
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#542

Complements

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

N	H ≅ G/N	type
1. C₃²×#542	C₂	semidirect
2. C₃×#5733	C₂	semidirect
3. C₃×D₃×C₄⋊Q₈	C₂	semidirect
4. C₃×#5710	C₂	semidirect
5. C₃×D₃×#126	C₂	semidirect
6. C₃×#5682	C₂	semidirect
7. C₃×D₃×#124	C₂	semidirect
8. C₃×D₃×#124	C₂	semidirect
9. C₃×#5669	C₂	semidirect
10. C₃×#5662	C₂	semidirect
11. C₃×D₃×#123	C₂	semidirect
12. C₃×#5643	C₂	semidirect
13. C₃×#5640	C₂	semidirect
14. C₃×D₃×C₂²⋊Q₈	C₂	semidirect
15. C₃×D₃×C₂²⋊Q₈	C₂	semidirect
17. C₃×#5603	C₂	semidirect
18. C₃×#5582	C₂	semidirect
19. C₃×C₄×D₃×Q₈	C₂	semidirect
20. C₃×#5561	C₂	semidirect
21. C₃×C₄×D₃×D₄	C₂	semidirect
22. C₃×#5534	C₂	semidirect
23. C₃×D₃×#117	C₂	semidirect
25. D₃×#542	C₃	direct (N × H)
32. C₃²×C₄⋊Q₈	C₂²	semidirect
33. C₃²×#126	C₂²	semidirect
34. C₃²×#124	C₂²	semidirect
35. C₃²×#124	C₂²	semidirect
36. C₃²×#123	C₂²	semidirect
37. C₃²×C₂²⋊Q₈	C₂²	semidirect
38. C₃²×C₂²⋊Q₈	C₂²	semidirect
40. C₃²×C₄×Q₈	C₂²	semidirect
41. C₃²×C₄×D₄	C₂²	semidirect
42. C₃²×#117	C₂²	semidirect
43. C₃×#947	C₂²	semidirect
44. C₃×#947	C₂²	semidirect
45. C₃×#946	C₂²	semidirect
46. C₃×#946	C₂²	semidirect
47. C₃×Q₈×Dic₃	C₂²	semidirect
48. C₃×#944	C₂²	semidirect
51. C₃×#936	C₂²	semidirect
52. C₃×#936	C₂²	semidirect
53. C₃×#935	C₂²	semidirect
54. C₃×D₄×Dic₃	C₂²	semidirect
56. C₃×#929	C₂²	semidirect
57. C₃×C₄×#67	C₂²	semidirect
58. C₃×#926	C₂²	semidirect
59. C₃×#924	C₂²	semidirect
60. C₃×#924	C₂²	semidirect
61. C₃×#898	C₂²	semidirect
62. C₃×#898	C₂²	semidirect
63. C₃×#898	C₂²	semidirect
64. C₃×#897	C₂²	semidirect
65. C₃×#897	C₂²	semidirect
66. C₃×#896	C₂²	semidirect
67. C₃×#896	C₂²	semidirect
68. C₃×#896	C₂²	semidirect
70. C₃×#894	C₂²	semidirect
71. C₃×#894	C₂²	semidirect
72. C₃×#893	C₂²	semidirect
73. C₃×#892	C₂²	semidirect
74. C₃×#892	C₂²	semidirect
82. C₃×#888	C₂²	semidirect
83. C₃×#888	C₂²	semidirect
84. C₃×#888	C₂²	semidirect
85. C₃×#887	C₂²	semidirect
86. C₃×#887	C₂²	semidirect
87. C₃×#886	C₂²	semidirect
88. C₃×#885	C₂²	semidirect
89. C₃×#885	C₂²	semidirect
90. C₃×#885	C₂²	semidirect
91. C₃×#885	C₂²	semidirect
92. C₃×#885	C₂²	semidirect
93. C₃×#885	C₂²	semidirect
95. C₃×#883	C₂²	semidirect
96. C₃×#883	C₂²	semidirect
97. C₃×#67⋊C₄	C₂²	semidirect
105. C₃×#879	C₂²	semidirect
106. C₃×#879	C₂²	semidirect
107. C₃×#879	C₂²	semidirect
108. C₃×#878	C₂²	semidirect
109. C₃×#878	C₂²	semidirect
110. C₃×#878	C₂²	semidirect
111. C₃×#877	C₂²	semidirect
112. C₃×#877	C₂²	semidirect
113. C₃×#876	C₂²	semidirect
114. C₃×#875	C₂²	semidirect
115. C₃×#875	C₂²	semidirect
116. C₃×C₄×D₁₂	C₂²	semidirect
117. C₃×#872	C₂²	semidirect
118. C₃×#872	C₂²	semidirect
122. C₃×#869	C₂²	semidirect
123. C₃×C₄×Dic₆	C₂²	semidirect
124. C₃×C₄×Dic₆	C₂²	semidirect
137. C₃×#542	D₃	direct (N × H)
138. C₃×#542	C₂×C₃	semidirect
150. #5733	C₂×C₃	semidirect
151. D₃×C₄⋊Q₈	C₂×C₃	semidirect
152. #5710	C₂×C₃	semidirect
153. D₃×#126	C₂×C₃	semidirect
154. #5682	C₂×C₃	semidirect
155. D₃×#124	C₂×C₃	semidirect
156. D₃×#124	C₂×C₃	semidirect
157. #5669	C₂×C₃	semidirect
158. #5662	C₂×C₃	semidirect
159. D₃×#123	C₂×C₃	semidirect
160. #5643	C₂×C₃	semidirect
161. #5640	C₂×C₃	semidirect
162. D₃×C₂²⋊Q₈	C₂×C₃	semidirect
163. D₃×C₂²⋊Q₈	C₂×C₃	semidirect
165. #5603	C₂×C₃	semidirect
166. #5582	C₂×C₃	semidirect
167. C₄×D₃×Q₈	C₂×C₃	semidirect
168. #5561	C₂×C₃	semidirect
169. C₄×D₃×D₄	C₂×C₃	semidirect
170. #5534	C₂×C₃	semidirect
171. D₃×#117	C₂×C₃	semidirect
296. C₃×C₄⋊Q₈	C₂×D₃	semidirect
297. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
306. C₃×#126	C₂×D₃	semidirect
307. C₃×#126	C₂²×C₃	semidirect
322. C₃×#124	C₂×D₃	semidirect
323. C₃×#124	C₂×D₃	semidirect
324. C₃×#124	C₂²×C₃	semidirect
325. C₃×#124	C₂²×C₃	semidirect
334. C₃×#123	C₂×D₃	semidirect
335. C₃×#123	C₂²×C₃	semidirect
350. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
351. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
352. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
353. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
368. C₃×C₄×Q₈	C₂×D₃	semidirect
369. C₃×C₄×Q₈	C₂²×C₃	semidirect
376. C₃×C₄×D₄	C₂×D₃	semidirect
377. C₃×C₄×D₄	C₂²×C₃	semidirect
386. C₃×#117	C₂×D₃	semidirect
387. C₃×#117	C₂²×C₃	semidirect
405. #947	C₂²×C₃	semidirect
406. #947	C₂²×C₃	semidirect
407. #946	C₂²×C₃	semidirect
408. #946	C₂²×C₃	semidirect
409. Q₈×Dic₃	C₂²×C₃	semidirect
410. #944	C₂²×C₃	semidirect
413. #936	C₂²×C₃	semidirect
414. #936	C₂²×C₃	semidirect
415. #935	C₂²×C₃	semidirect
416. D₄×Dic₃	C₂²×C₃	semidirect
418. #929	C₂²×C₃	semidirect
419. C₄×#67	C₂²×C₃	semidirect
420. #926	C₂²×C₃	semidirect
421. #924	C₂²×C₃	semidirect
422. #924	C₂²×C₃	semidirect
423. #898	C₂²×C₃	semidirect
424. #898	C₂²×C₃	semidirect
425. #898	C₂²×C₃	semidirect
426. #897	C₂²×C₃	semidirect
427. #897	C₂²×C₃	semidirect
428. #896	C₂²×C₃	semidirect
429. #896	C₂²×C₃	semidirect
430. #896	C₂²×C₃	semidirect
432. #894	C₂²×C₃	semidirect
433. #894	C₂²×C₃	semidirect
434. #893	C₂²×C₃	semidirect
435. #892	C₂²×C₃	semidirect
436. #892	C₂²×C₃	semidirect
444. #888	C₂²×C₃	semidirect
445. #888	C₂²×C₃	semidirect
446. #888	C₂²×C₃	semidirect
447. #887	C₂²×C₃	semidirect
448. #887	C₂²×C₃	semidirect
449. #886	C₂²×C₃	semidirect
450. #885	C₂²×C₃	semidirect
451. #885	C₂²×C₃	semidirect
452. #885	C₂²×C₃	semidirect
453. #885	C₂²×C₃	semidirect
454. #885	C₂²×C₃	semidirect
455. #885	C₂²×C₃	semidirect
457. #883	C₂²×C₃	semidirect
458. #883	C₂²×C₃	semidirect
459. #67⋊C₄	C₂²×C₃	semidirect
467. #879	C₂²×C₃	semidirect
468. #879	C₂²×C₃	semidirect
469. #879	C₂²×C₃	semidirect
470. #878	C₂²×C₃	semidirect
471. #878	C₂²×C₃	semidirect
472. #878	C₂²×C₃	semidirect
473. #877	C₂²×C₃	semidirect
474. #877	C₂²×C₃	semidirect
475. #876	C₂²×C₃	semidirect
476. #875	C₂²×C₃	semidirect
477. #875	C₂²×C₃	semidirect
478. C₄×D₁₂	C₂²×C₃	semidirect
479. #872	C₂²×C₃	semidirect
480. #872	C₂²×C₃	semidirect
484. #869	C₂²×C₃	semidirect
485. C₄×Dic₆	C₂²×C₃	semidirect
486. C₄×Dic₆	C₂²×C₃	semidirect
558. #542	C₃×D₃	direct (N × H)
850. C₄⋊Q₈	C₂×C₃×D₃	semidirect
858. #126	C₂×C₃×D₃	semidirect
871. #124	C₂×C₃×D₃	semidirect
872. #124	C₂×C₃×D₃	semidirect
880. #123	C₂×C₃×D₃	semidirect
893. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
894. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
906. C₄×Q₈	C₂×C₃×D₃	semidirect
912. C₄×D₄	C₂×C₃×D₃	semidirect
920. #117	C₂×C₃×D₃	semidirect
1082. C₃×D₃	#542	direct (N × H)
1276. C₃²	C₂×#542	semidirect
1357. D₃	C₃×#542	direct (N × H)
1395. C₃	D₃×#542	direct (N × H)
1396. C₃	C₂×C₃×#542	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#542	2
C₃×#5733	2
C₃×D₃×C₄⋊Q₈	2
C₃×#5710	2
C₃×D₃×#126	2
C₃×#5682	2
C₃×D₃×#124	2
C₃×#5669	2
C₃×#5662	2
C₃×D₃×#123	2
C₃×#5643	2
C₃×#5640	2
C₃×D₃×C₂²⋊Q₈	2
C₃×D₃×#121	2
C₃×#5603	2
C₃×#5582	2
C₃×C₄×D₃×Q₈	2
C₃×#5561	2
C₃×C₄×D₃×D₄	2
C₃×#5534	2
C₃×D₃×#117	2
C₂×C₃×#542	3
D₃×#542	3

Subgroups — C3×D3×#542 #11901607

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₃×#542 #11901607