Subgroups — C₃×#86874 #11903457

Order 1152.

2383 conjugacy classes of subgroups.

The subgroup lattice has 1427 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5708	C₂	1	2	yes	maximal, complemented
3	C₃×#5706	C₂	1	2	yes	maximal, complemented
4	C₃×#5694	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5688	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5659	C₂	1	2	yes	maximal, complemented
7	C₃×#5649	C₂	1	2	yes	maximal, complemented
8	C₃×#5616	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5611	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5610	C₂	1	2	yes	maximal, complemented
11	C₃×#5606	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5606	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5600	C₂	1	2	yes	maximal, complemented
14	C₃×#5558	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5556	C₂	1	2	yes	maximal, complemented
16	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5541	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×C₄×#237	C₂	1	2	yes	maximal, complemented
20	C₃×#5533	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5511	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#892	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3475	—	3	1	no	maximal
25	#86874	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃×#237	C₂²	1	1	yes	characteristic
27	C₂×C₃×#237	C₂²	1	2	yes	—
28	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
29	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
30	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
31	C₃²×#126	C₂²	1	2	yes	complemented
32	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
33	C₃²×#123	C₂²	1	2	yes	complemented
34	C₃²×#121	C₂²	1	2	yes	—
35	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
37	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
39	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
42	C₃×#939	C₂²	1	2	yes	—
43	C₃×#938	C₂²	1	1	yes	characteristic, complemented
44	C₃×#938	C₂²	1	1	yes	characteristic, complemented
45	C₃×#937	C₂²	1	2	yes	—
46	C₃×#937	C₂²	1	2	yes	—
47	C₃×#936	C₂²	1	2	yes	complemented
48	C₃×#935	C₂²	1	2	yes	—
49	C₃×#935	C₂²	1	2	yes	complemented
50	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
51	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
52	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
53	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
54	C₃×#929	C₂²	1	2	yes	complemented
55	C₃×C₄×#67	C₂²	1	2	yes	—
56	C₃×C₄×#67	C₂²	1	1	yes	characteristic
57	C₃×C₄×#67	C₂²	1	1	yes	characteristic
58	C₃×C₄×#67	C₂²	1	2	yes	—
59	C₃×C₄×#67	C₂²	1	2	yes	complemented
60	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
61	C₃×#926	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
63	C₃×#924	C₂²	1	1	yes	characteristic, complemented
64	C₃×#924	C₂²	1	2	yes	complemented
65	C₃×#924	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
67	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
68	C₃×#898	C₂²	1	2	yes	complemented
69	C₃×#897	C₂²	1	1	yes	characteristic, complemented
70	C₃×#897	C₂²	1	1	yes	characteristic, complemented
71	C₃×#896	C₂²	1	2	yes	—
72	C₃×#896	C₂²	1	2	yes	—
73	C₃×#896	C₂²	1	2	yes	complemented
74	C₃×#894	C₂²	1	2	yes	—
75	C₃×#893	C₂²	1	1	yes	characteristic
76	C₃×#892	C₂²	1	1	yes	characteristic
77	C₃×#892	C₂²	1	1	yes	characteristic
78	C₃×#892	C₂²	1	2	yes	—
79	C₃×#892	C₂²	1	1	yes	characteristic
80	C₃×#892	C₂²	1	1	yes	characteristic, complemented
81	C₃×#892	C₂²	1	1	yes	characteristic, complemented
82	C₃×#892	C₂²	1	2	yes	complemented
83	C₃×#892	C₂²	1	2	yes	complemented
84	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
85	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
86	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₃×#890	C₂²	1	2	yes	complemented
88	C₃×#889	C₂²	1	2	yes	complemented
89	C₃×#889	C₂²	1	2	yes	complemented
90	C₃×#888	C₂²	1	1	yes	characteristic, complemented
91	C₃×#888	C₂²	1	1	yes	characteristic, complemented
92	C₃×#887	C₂²	1	1	yes	characteristic, complemented
93	C₃×#887	C₂²	1	2	yes	complemented
94	C₃×#887	C₂²	1	2	yes	complemented
95	C₃×#885	C₂²	1	2	yes	—
96	C₃×#885	C₂²	1	2	yes	complemented
97	C₃×#884	C₂²	1	2	yes	—
98	C₃×#883	C₂²	1	2	yes	—
99	C₃×#883	C₂²	1	2	yes	—
100	C₃×#883	C₂²	1	2	yes	complemented
101	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
102	C₃×#67⋊C₄	C₂²	1	2	yes	—
103	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
104	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
105	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
106	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
107	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
108	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
109	C₃×#879	C₂²	1	2	yes	complemented
110	C₃×#879	C₂²	1	2	yes	complemented
111	C₃×#879	C₂²	1	2	yes	complemented
112	C₃×#878	C₂²	1	2	yes	complemented
113	C₃×#877	C₂²	1	2	yes	complemented
114	C₃×#877	C₂²	1	2	yes	complemented
115	C₃×#877	C₂²	1	2	yes	complemented
116	C₃×#877	C₂²	1	2	yes	complemented
117	C₃×#876	C₂²	1	2	yes	complemented
118	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
119	C₃×#872	C₂²	1	2	yes	—
120	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
121	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
122	C₃×#870	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×Dic₆	C₂²	1	2	yes	complemented
124	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
125	C₃×#556	—	3	1	no	—
126	C₃×#555	—	3	1	no	—
127	C₃×#554	—	3	1	no	—
128	C₃×#553	—	2	1	no	—
129	C₃×#553	—	3	1	no	—
130	C₃×#553	D₃	1	1	yes	characteristic, complemented
131	C₃×#553	C₂×C₃	1	1	yes	characteristic, complemented
132	C₃×#552	—	3	2	no	—
133	C₃×#552	—	3	1	no	—
134	C₃×#552	—	3	1	no	—
135	C₃×#551	—	3	2	no	—
136	C₃×#551	—	3	2	no	—
137	C₃×#547	—	3	1	no	—
138	C₃×#546	—	3	2	no	—
139	C₃×#533	—	3	1	no	—
140	C₃×#529	—	3	2	no	—
141	C₃×#529	—	3	2	no	—
142	C₃×#529	—	3	2	no	—
143	C₃×#525	—	3	1	no	—
144	C₃×#525	—	3	1	no	—
145	C₃×C₄×#41	—	3	2	no	—
146	C₃×C₄×#41	—	3	1	no	—
147	C₂×C₃×C₄×D₄	—	3	1	no	—
148	C₂×C₃×#117	—	3	1	no	—
149	C₂×C₃×#117	—	3	1	no	—
150	#5708	C₂×C₃	1	2	yes	complemented
151	#5706	C₂×C₃	1	2	yes	complemented
152	#5694	C₂×C₃	1	1	yes	characteristic, complemented
153	#5688	C₂×C₃	1	1	yes	characteristic, complemented
154	#5659	C₂×C₃	1	2	yes	complemented
155	#5649	C₂×C₃	1	2	yes	complemented
156	#5616	C₂×C₃	1	1	yes	characteristic, complemented
157	#5611	C₂×C₃	1	1	yes	characteristic, complemented
158	#5610	C₂×C₃	1	2	yes	complemented
159	#5606	C₂×C₃	1	1	yes	characteristic, complemented
160	#5606	C₂×C₃	1	1	yes	characteristic, complemented
161	#5600	C₂×C₃	1	2	yes	complemented
162	#5558	C₂×C₃	1	1	yes	characteristic, complemented
163	#5556	C₂×C₃	1	2	yes	complemented
164	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
165	#5541	C₂×C₃	1	1	yes	characteristic, complemented
166	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
167	C₄×#237	C₂×C₃	1	2	yes	complemented
168	#5533	C₂×C₃	1	1	yes	characteristic, complemented
169	D₃×#117	C₂×C₃	1	1	yes	characteristic, complemented
170	#5511	C₂×C₃	1	1	yes	characteristic, complemented
171	C₂×#892	C₂×C₃	1	1	yes	characteristic, complemented
172	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
173	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
174	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
175	C₂×C₃²×D₄	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	1	yes	characteristic
180	C₂²×C₃²×C₄	C₂³	1	2	yes	—
181	C₂²×C₃²×C₄	C₂³	1	2	yes	—
182	C₂×C₃×#67	C₂³	1	2	yes	—
183	C₂×C₃×#67	C₂³	1	1	yes	characteristic
184	C₂×C₃×#67	C₂³	1	2	yes	—
185	C₂×C₃×#67	C₂³	1	2	yes	—
186	C₂×C₃×#67	C₂³	1	1	yes	characteristic
187	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
188	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
189	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
190	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
191	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
192	C₃×#237	—	2	8	no	—
193	C₃×#237	—	2	4	no	—
194	C₃×D₃×D₄	—	2	4	no	—
195	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
196	C₂×C₃×C₄×D₃	—	2	4	no	—
197	C₂×C₃×C₄×D₃	—	2	4	no	—
198	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
204	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
205	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
206	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
207	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
208	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
209	C₂×C₃×Dic₆	C₂³	1	2	yes	—
210	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
211	C₂×C₃×Dic₆	C₂³	1	2	yes	—
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	1	yes	characteristic
218	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
225	C₃²×C₄²	C₂³	1	2	yes	—
226	C₃²×C₄²	C₂³	1	1	yes	characteristic
227	C₃×#217	C₂³	1	2	yes	—
228	C₃×#217	C₂³	1	2	yes	—
229	C₃×#217	C₂³	1	2	yes	—
230	C₃×#217	C₂³	1	2	yes	—
231	C₃×#217	C₂³	1	2	yes	—
232	C₃×#217	C₂³	1	1	yes	characteristic
233	C₃×#217	C₂³	1	2	yes	—
234	C₃×#217	C₂³	1	1	yes	characteristic
235	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
236	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
237	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₃	C₂³	1	2	yes	—
247	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
248	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
249	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
250	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
251	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
252	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
253	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
254	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
255	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
256	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
257	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
258	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
259	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
260	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
261	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
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×C₄×Dic₃	C₂³	1	2	yes	—
266	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
267	C₃×C₄×Dic₃	C₂³	1	2	yes	—
268	C₃×C₄×Dic₃	C₂³	1	2	yes	—
269	C₃×C₄×Dic₃	C₂³	1	2	yes	—
270	C₃×C₄×Dic₃	C₂³	1	2	yes	—
271	C₃×C₄×Dic₃	C₂³	1	2	yes	—
272	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
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	#3475	—	3	1	no	Sylow
277	C₂×C₃×#41	—	3	1	no	—
278	C₂×C₃×#41	—	3	2	no	—
279	C₂²×C₃×D₄	—	3	1	no	—
280	C₂³×C₃×C₄	—	3	1	no	—
281	C₂³×C₃×C₄	—	3	1	no	—
282	C₂×#237	C₂²×C₃	1	1	yes	characteristic
283	C₂×#237	C₂²×C₃	1	2	yes	—
284	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
285	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
286	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
287	C₃×C₄⋊Q₈	—	3	1	no	—
288	C₃×C₄⋊Q₈	—	3	1	no	—
289	C₃×#126	—	2	2	no	—
290	C₃×#126	—	3	2	no	—
291	C₃×#126	—	3	2	no	—
292	C₃×#126	—	3	2	no	—
293	C₃×#126	—	3	2	no	—
294	C₃×#126	—	3	2	no	—
295	C₃×#126	C₂×D₃	1	2	yes	complemented
296	C₃×#126	C₂²×C₃	1	2	yes	complemented
297	C₃×#125	—	2	1	no	—
298	C₃×#125	—	3	2	no	—
299	C₃×#125	—	3	2	no	—
300	C₃×#125	—	3	2	no	—
301	C₃×#125	—	3	1	no	—
302	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
303	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
304	C₃×#124	—	3	2	no	—
305	C₃×#124	—	3	2	no	—
306	C₃×#124	—	3	2	no	—
307	C₃×#123	—	2	2	no	—
308	C₃×#123	—	3	2	no	—
309	C₃×#123	—	3	2	no	—
310	C₃×#123	—	3	2	no	—
311	C₃×#123	—	3	2	no	—
312	C₃×#123	—	3	2	no	—
313	C₃×#123	—	3	2	no	—
314	C₃×#123	—	3	2	no	—
315	C₃×#123	C₂×D₃	1	2	yes	complemented
316	C₃×#123	C₂²×C₃	1	2	yes	complemented
317	C₃×C₂²⋊Q₈	—	3	1	no	—
318	C₃×C₂²⋊Q₈	—	3	1	no	—
319	C₃×C₂²⋊Q₈	—	3	2	no	—
320	C₃×C₂²⋊Q₈	—	3	2	no	—
321	C₃×C₂²⋊Q₈	—	3	2	no	—
322	C₃×C₂²⋊Q₈	—	3	2	no	—
323	C₃×C₂²⋊Q₈	—	3	1	no	—
324	C₃×C₂²⋊Q₈	—	3	1	no	—
325	C₃×C₂²⋊Q₈	—	3	2	no	—
326	C₃×#121	—	2	2	no	—
327	C₃×#121	—	2	1	no	—
328	C₃×#121	—	2	1	no	—
329	C₃×#121	—	3	1	no	—
330	C₃×#121	—	3	1	no	—
331	C₃×#121	—	3	2	no	—
332	C₃×#121	—	3	2	no	—
333	C₃×#121	C₂×D₃	1	2	yes	—
334	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
335	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
336	C₃×#121	C₂²×C₃	1	2	yes	—
337	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
338	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₃×#120	—	3	2	no	—
340	C₃×#120	—	3	2	no	—
341	C₃×C₄×Q₈	—	3	2	no	—
342	C₃×C₄×Q₈	—	3	1	no	—
343	C₃×C₄×Q₈	—	3	2	no	—
344	C₃×C₄×Q₈	—	3	1	no	—
345	C₃×C₄×Q₈	—	3	2	no	—
346	C₃×C₄×D₄	—	2	1	no	—
347	C₃×C₄×D₄	—	2	2	no	—
348	C₃×C₄×D₄	—	2	1	no	—
349	C₃×C₄×D₄	—	3	1	no	—
350	C₃×C₄×D₄	—	3	2	no	—
351	C₃×C₄×D₄	—	3	1	no	—
352	C₃×C₄×D₄	—	3	2	no	—
353	C₃×C₄×D₄	—	3	1	no	—
354	C₃×C₄×D₄	—	3	1	no	—
355	C₃×C₄×D₄	—	3	2	no	—
356	C₃×C₄×D₄	—	3	2	no	—
357	C₃×C₄×D₄	—	3	2	no	—
358	C₃×C₄×D₄	—	3	1	no	—
359	C₃×C₄×D₄	—	3	1	no	—
360	C₃×C₄×D₄	—	3	1	no	—
361	C₃×C₄×D₄	—	3	2	no	—
362	C₃×C₄×D₄	—	3	2	no	—
363	C₃×C₄×D₄	—	3	2	no	—
364	C₃×C₄×D₄	—	3	1	no	—
365	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
366	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
367	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
368	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
369	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
370	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
371	C₃×#117	—	2	1	no	—
372	C₃×#117	—	3	1	no	—
373	C₃×#117	—	3	1	no	—
374	C₃×#117	—	3	1	no	—
375	C₃×#117	—	3	1	no	—
376	C₃×#117	—	3	2	no	—
377	C₃×#117	—	3	2	no	—
378	C₃×#117	—	3	1	no	—
379	C₃×#117	—	3	1	no	—
380	C₃×#117	—	3	2	no	—
381	C₃×#117	—	3	2	no	—
382	C₃×#117	—	3	2	no	—
383	C₃×#117	—	3	2	no	—
384	C₃×#117	—	3	2	no	—
385	C₃×#117	—	3	2	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	—	2	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	1	no	—
393	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
394	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
395	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
396	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
397	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
398	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
399	C₂×C₃×C₄²	—	3	2	no	—
400	C₂×C₃×C₄²	—	3	2	no	—
401	C₂×C₃×C₄²	—	3	2	no	—
402	C₂×C₃×C₄²	—	3	1	no	—
403	#939	C₂²×C₃	1	2	yes	—
404	#938	C₂²×C₃	1	1	yes	characteristic, complemented
405	#938	C₂²×C₃	1	1	yes	characteristic, complemented
406	#937	C₂²×C₃	1	2	yes	—
407	#937	C₂²×C₃	1	2	yes	—
408	#936	C₂²×C₃	1	2	yes	complemented
409	#935	C₂²×C₃	1	2	yes	—
410	#935	C₂²×C₃	1	2	yes	complemented
411	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
412	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
413	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
414	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
415	#929	C₂²×C₃	1	2	yes	complemented
416	C₄×#67	C₂²×C₃	1	2	yes	—
417	C₄×#67	C₂²×C₃	1	2	yes	—
418	C₄×#67	C₂²×C₃	1	1	yes	characteristic
419	C₄×#67	C₂²×C₃	1	1	yes	characteristic
420	C₄×#67	C₂²×C₃	1	2	yes	complemented
421	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
422	#926	C₂²×C₃	1	1	yes	characteristic, complemented
423	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
424	#924	C₂²×C₃	1	1	yes	characteristic, complemented
425	#924	C₂²×C₃	1	2	yes	complemented
426	#924	C₂²×C₃	1	1	yes	characteristic, complemented
427	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
428	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
429	#898	C₂²×C₃	1	2	yes	complemented
430	#897	C₂²×C₃	1	1	yes	characteristic, complemented
431	#897	C₂²×C₃	1	1	yes	characteristic, complemented
432	#896	C₂²×C₃	1	2	yes	—
433	#896	C₂²×C₃	1	2	yes	—
434	#896	C₂²×C₃	1	2	yes	complemented
435	#894	C₂²×C₃	1	2	yes	—
436	#893	C₂²×C₃	1	1	yes	characteristic
437	#892	C₂²×C₃	1	2	yes	—
438	#892	C₂²×C₃	1	1	yes	characteristic
439	#892	C₂²×C₃	1	1	yes	characteristic
440	#892	C₂²×C₃	1	1	yes	characteristic
441	#892	C₂²×C₃	1	2	yes	complemented
442	#892	C₂²×C₃	1	2	yes	complemented
443	#892	C₂²×C₃	1	1	yes	characteristic, complemented
444	#892	C₂²×C₃	1	1	yes	characteristic, complemented
445	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
446	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
447	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
448	#890	C₂²×C₃	1	2	yes	complemented
449	#889	C₂²×C₃	1	2	yes	complemented
450	#889	C₂²×C₃	1	2	yes	complemented
451	#888	C₂²×C₃	1	1	yes	characteristic, complemented
452	#888	C₂²×C₃	1	1	yes	characteristic, complemented
453	#887	C₂²×C₃	1	2	yes	complemented
454	#887	C₂²×C₃	1	2	yes	complemented
455	#887	C₂²×C₃	1	1	yes	characteristic, complemented
456	#885	C₂²×C₃	1	2	yes	—
457	#885	C₂²×C₃	1	2	yes	complemented
458	#884	C₂²×C₃	1	2	yes	—
459	#883	C₂²×C₃	1	2	yes	—
460	#883	C₂²×C₃	1	2	yes	—
461	#883	C₂²×C₃	1	2	yes	complemented
462	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
463	#67⋊C₄	C₂²×C₃	1	2	yes	—
464	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
465	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
466	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
467	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
468	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
469	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
470	#879	C₂²×C₃	1	2	yes	complemented
471	#879	C₂²×C₃	1	2	yes	complemented
472	#879	C₂²×C₃	1	2	yes	complemented
473	#878	C₂²×C₃	1	2	yes	complemented
474	#877	C₂²×C₃	1	2	yes	complemented
475	#877	C₂²×C₃	1	2	yes	complemented
476	#877	C₂²×C₃	1	2	yes	complemented
477	#877	C₂²×C₃	1	2	yes	complemented
478	#876	C₂²×C₃	1	2	yes	complemented
479	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
480	#872	C₂²×C₃	1	2	yes	—
481	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
482	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
483	#870	C₂²×C₃	1	1	yes	characteristic, complemented
484	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
485	C₄×Dic₆	C₂²×C₃	1	2	yes	complemented
486	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
487	C₂³×C₃²	C₂⁴	1	2	yes	—
488	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
489	C₂²×C₃×D₃	—	2	2	no	—
490	C₂²×C₃×D₃	—	2	2	no	—
491	C₂²×C₃×D₃	—	2	2	no	—
492	C₂²×C₃×D₃	—	2	2	no	—
493	C₂²×C₃×D₃	—	4	1	no	—
494	C₂²×C₃×D₃	—	4	1	no	—
495	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
498	C₃²×D₄	—	2	2	no	—
499	C₃²×D₄	—	2	4	no	—
500	C₃²×D₄	—	2	2	no	—
501	C₃²×D₄	—	4	2	no	—
502	C₂×C₃²×C₄	—	2	2	no	—
503	C₂×C₃²×C₄	—	2	2	no	—
504	C₂×C₃²×C₄	—	4	2	no	—
505	C₂×C₃²×C₄	—	4	2	no	—
506	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
507	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
508	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
509	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
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	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
514	C₃×#67	—	2	4	no	—
515	C₃×#67	—	2	4	no	—
516	C₃×#67	—	2	2	no	—
517	C₃×#67	—	4	2	no	—
518	C₃×#67	#41	1	4	yes	complemented
519	C₂×C₃×Dic₃	—	2	4	no	—
520	C₂×C₃×Dic₃	—	2	2	no	—
521	C₂×C₃×Dic₃	—	2	2	no	—
522	C₂×C₃×Dic₃	—	2	4	no	—
523	C₂×C₃×Dic₃	—	2	4	no	—
524	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
525	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
527	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
528	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
529	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
533	C₃×D₁₂	—	2	2	no	—
534	C₃×C₄×D₃	—	2	2	no	—
535	C₃×C₄×D₃	—	2	2	no	—
536	C₃×C₄×D₃	—	2	4	no	—
537	C₃×C₄×D₃	—	2	2	no	—
538	C₃×C₄×D₃	—	2	2	no	—
539	C₃×C₄×D₃	—	2	2	no	—
540	C₃×C₄×D₃	—	2	2	no	—
541	C₃×C₄×D₃	—	2	2	no	—
542	C₃×C₄×D₃	—	4	1	no	—
543	C₃×C₄×D₃	—	4	2	no	—
544	C₃×C₄×D₃	#41	1	4	yes	complemented
545	C₃×Dic₆	—	2	2	no	—
546	C₃×Dic₆	—	2	4	no	—
547	C₃×Dic₆	—	4	2	no	—
548	#556	—	3	1	no	—
549	#555	—	3	1	no	—
550	#554	—	3	1	no	—
551	#553	—	3	1	no	—
552	#553	C₃×D₃	1	1	yes	characteristic, complemented
553	#552	—	3	2	no	—
554	#552	—	3	1	no	—
555	#552	—	3	1	no	—
556	#551	—	3	2	no	—
557	#551	—	3	2	no	—
558	#547	—	3	1	no	—
559	#546	—	3	2	no	—
560	#533	—	3	1	no	—
561	#529	—	3	2	no	—
562	#529	—	3	2	no	—
563	#529	—	3	2	no	—
564	#525	—	3	1	no	—
565	#525	—	3	1	no	—
566	C₄×#41	—	3	2	no	—
567	C₄×#41	—	3	1	no	—
568	C₂×C₄×D₄	—	3	1	no	—
569	C₂×#117	—	3	1	no	—
570	C₂×#117	—	3	1	no	—
571	C₂⁴×C₃	—	3	1	no	—
572	C₂⁴×C₃	—	3	1	no	—
573	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
574	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
575	C₃×#41	—	6	4	no	—
576	C₃×#41	—	6	8	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×D₄	—	2	1	no	—
581	C₂×C₃×D₄	—	2	2	no	—
582	C₂×C₃×D₄	—	2	1	no	—
583	C₂×C₃×D₄	—	2	2	no	—
584	C₂×C₃×D₄	—	3	1	no	—
585	C₂×C₃×D₄	—	3	2	no	—
586	C₂×C₃×D₄	—	3	2	no	—
587	C₂×C₃×D₄	—	3	1	no	—
588	C₂×C₃×D₄	—	3	2	no	—
589	C₂×C₃×D₄	—	3	1	no	—
590	C₂×C₃×D₄	—	6	4	no	—
591	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
592	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
593	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
594	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
595	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
596	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
597	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
598	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
599	C₂²×C₃×C₄	—	2	1	no	—
600	C₂²×C₃×C₄	—	2	1	no	—
601	C₂²×C₃×C₄	—	2	2	no	—
602	C₂²×C₃×C₄	—	2	2	no	—
603	C₂²×C₃×C₄	—	3	1	no	—
604	C₂²×C₃×C₄	—	3	1	no	—
605	C₂²×C₃×C₄	—	3	2	no	—
606	C₂²×C₃×C₄	—	3	2	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	1	no	—
613	C₂²×C₃×C₄	—	3	1	no	—
614	C₂²×C₃×C₄	—	3	1	no	—
615	C₂²×C₃×C₄	—	3	1	no	—
616	C₂²×C₃×C₄	—	3	1	no	—
617	C₂²×C₃×C₄	—	3	1	no	—
618	C₂²×C₃×C₄	—	3	2	no	—
619	C₂²×C₃×C₄	—	6	4	no	—
620	C₂²×C₃×C₄	—	6	4	no	—
621	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
622	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
623	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
624	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
625	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
626	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
627	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
628	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
629	C₂×#67	C₂³×C₃	1	2	yes	—
630	C₂×#67	C₂³×C₃	1	1	yes	characteristic
631	C₂×#67	C₂³×C₃	1	2	yes	—
632	C₂×#67	C₂³×C₃	1	2	yes	—
633	C₂×#67	C₂³×C₃	1	1	yes	characteristic
634	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
635	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
636	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
637	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
638	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
639	#237	—	2	8	no	—
640	#237	—	2	4	no	—
641	D₃×D₄	—	2	4	no	—
642	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
643	C₂×C₄×D₃	—	2	4	no	—
644	C₂×C₄×D₃	—	2	4	no	—
645	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
646	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
647	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
648	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
649	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
650	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
651	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
652	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
653	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
654	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
655	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
656	C₂×Dic₆	C₂³×C₃	1	2	yes	—
657	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
658	C₂×Dic₆	C₂³×C₃	1	2	yes	—
659	C₃×C₄⋊C₄	—	2	1	no	—
660	C₃×C₄⋊C₄	—	2	1	no	—
661	C₃×C₄⋊C₄	—	2	2	no	—
662	C₃×C₄⋊C₄	—	2	1	no	—
663	C₃×C₄⋊C₄	—	2	2	no	—
664	C₃×C₄⋊C₄	—	2	1	no	—
665	C₃×C₄⋊C₄	—	2	2	no	—
666	C₃×C₄⋊C₄	—	3	1	no	—
667	C₃×C₄⋊C₄	—	3	2	no	—
668	C₃×C₄⋊C₄	—	3	2	no	—
669	C₃×C₄⋊C₄	—	3	1	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	2	no	—
674	C₃×C₄⋊C₄	—	3	2	no	—
675	C₃×C₄⋊C₄	—	3	2	no	—
676	C₃×C₄⋊C₄	—	3	2	no	—
677	C₃×C₄⋊C₄	—	3	2	no	—
678	C₃×C₄⋊C₄	—	3	1	no	—
679	C₃×C₄⋊C₄	—	3	1	no	—
680	C₃×C₄⋊C₄	—	3	1	no	—
681	C₃×C₄⋊C₄	—	3	2	no	—
682	C₃×C₄⋊C₄	—	3	1	no	—
683	C₃×C₄⋊C₄	—	3	2	no	—
684	C₃×C₄⋊C₄	—	3	2	no	—
685	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
686	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
687	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
688	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
689	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
690	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
691	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
692	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
693	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
694	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
695	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
696	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
697	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
698	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
699	C₃×C₂²⋊C₄	—	2	2	no	—
700	C₃×C₂²⋊C₄	—	2	1	no	—
701	C₃×C₂²⋊C₄	—	2	2	no	—
702	C₃×C₂²⋊C₄	—	2	2	no	—
703	C₃×C₂²⋊C₄	—	2	1	no	—
704	C₃×C₂²⋊C₄	—	2	2	no	—
705	C₃×C₂²⋊C₄	—	3	2	no	—
706	C₃×C₂²⋊C₄	—	3	1	no	—
707	C₃×C₂²⋊C₄	—	3	1	no	—
708	C₃×C₂²⋊C₄	—	3	2	no	—
709	C₃×C₂²⋊C₄	—	3	2	no	—
710	C₃×C₂²⋊C₄	—	3	2	no	—
711	C₃×C₂²⋊C₄	—	3	2	no	—
712	C₃×C₂²⋊C₄	—	3	2	no	—
713	C₃×C₂²⋊C₄	—	3	2	no	—
714	C₃×C₂²⋊C₄	—	3	1	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	1	no	—
720	C₃×C₂²⋊C₄	—	3	1	no	—
721	C₃×C₂²⋊C₄	—	3	1	no	—
722	C₃×C₂²⋊C₄	—	3	2	no	—
723	C₃×C₂²⋊C₄	—	3	2	no	—
724	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
725	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
726	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
727	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
728	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
729	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
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	1	yes	characteristic
736	C₃×C₄²	—	2	2	no	—
737	C₃×C₄²	—	2	1	no	—
738	C₃×C₄²	—	3	2	no	—
739	C₃×C₄²	—	3	1	no	—
740	C₃×C₄²	—	3	2	no	—
741	C₃×C₄²	—	3	2	no	—
742	C₃×C₄²	—	3	1	no	—
743	C₃×C₄²	—	3	2	no	—
744	C₃×C₄²	—	3	2	no	—
745	C₃×C₄²	—	3	2	no	—
746	C₃×C₄²	—	3	2	no	—
747	C₃×C₄²	—	3	1	no	—
748	C₃×C₄²	—	3	2	no	—
749	C₃×C₄²	C₂²×D₃	1	2	yes	—
750	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
751	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
752	C₃×C₄²	C₂³×C₃	1	2	yes	—
753	#217	C₂³×C₃	1	2	yes	—
754	#217	C₂³×C₃	1	2	yes	—
755	#217	C₂³×C₃	1	2	yes	—
756	#217	C₂³×C₃	1	2	yes	—
757	#217	C₂³×C₃	1	2	yes	—
758	#217	C₂³×C₃	1	1	yes	characteristic
759	#217	C₂³×C₃	1	2	yes	—
760	#217	C₂³×C₃	1	1	yes	characteristic
761	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
762	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
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	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
773	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
774	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
775	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
776	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
777	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
778	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
779	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
780	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
781	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
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	2	yes	—
786	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
787	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
788	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
789	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
790	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
791	C₄×Dic₃	C₂³×C₃	1	2	yes	—
792	C₄×Dic₃	C₂³×C₃	1	2	yes	—
793	C₄×Dic₃	C₂³×C₃	1	2	yes	—
794	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
795	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
796	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
797	C₄×Dic₃	C₂³×C₃	1	2	yes	—
798	C₄×Dic₃	C₂³×C₃	1	2	yes	—
799	C₄×Dic₃	C₂³×C₃	1	2	yes	—
800	C₄×Dic₃	C₂³×C₃	1	2	yes	—
801	C₄×Dic₃	C₂³×C₃	1	2	yes	—
802	C₂²×C₃²	—	2	1	no	—
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	—	2	1	no	—
810	C₂²×C₃²	C₂×#41	1	2	yes	—
811	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
812	C₂×C₃×D₃	—	2	1	no	—
813	C₂×C₃×D₃	—	2	1	no	—
814	C₂×C₃×D₃	—	2	1	no	—
815	C₂×C₃×D₃	—	2	1	no	—
816	C₂×C₃×D₃	—	2	1	no	—
817	C₂×C₃×D₃	—	2	1	no	—
818	C₂×C₃×D₃	—	2	1	no	—
819	C₂×C₃×D₃	—	4	4	no	—
820	C₂×C₃×D₃	—	4	4	no	—
821	C₂×C₃×D₃	C₂×#41	1	2	yes	—
822	C₂×C₃×D₃	C₂×#41	1	2	yes	—
823	C₃²×C₄	—	2	2	no	—
824	C₃²×C₄	—	2	1	no	—
825	C₃²×C₄	—	2	1	no	—
826	C₃²×C₄	—	2	1	no	—
827	C₃²×C₄	—	2	2	no	—
828	C₃²×C₄	—	2	1	no	—
829	C₃²×C₄	—	2	2	no	—
830	C₃²×C₄	C₂×#41	1	2	yes	—
831	C₃×Dic₃	—	2	2	no	—
832	C₃×Dic₃	—	2	2	no	—
833	C₃×Dic₃	—	2	1	no	—
834	C₃×Dic₃	—	2	1	no	—
835	C₃×Dic₃	—	2	2	no	—
836	C₃×Dic₃	—	2	1	no	—
837	C₃×Dic₃	—	2	2	no	—
838	C₃×Dic₃	C₂×#41	1	2	yes	—
839	C₃×Dic₃	C₂×#41	1	2	yes	—
840	C₂×#41	—	3	1	no	—
841	C₂×#41	—	3	2	no	—
842	C₂²×D₄	—	3	1	no	—
843	C₂³×C₄	—	3	1	no	—
844	C₂³×C₄	—	3	1	no	—
845	C₄⋊Q₈	—	3	1	no	—
846	C₄⋊Q₈	—	3	1	no	—
847	#126	—	3	2	no	—
848	#126	—	3	2	no	—
849	#126	—	3	2	no	—
850	#126	—	3	2	no	—
851	#126	—	3	2	no	—
852	#126	C₂×C₃×D₃	1	2	yes	complemented
853	#125	—	3	2	no	—
854	#125	—	3	2	no	—
855	#125	—	3	2	no	—
856	#125	—	3	1	no	—
857	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
858	#124	—	3	2	no	—
859	#124	—	3	2	no	—
860	#124	—	3	2	no	—
861	#123	—	3	2	no	—
862	#123	—	3	2	no	—
863	#123	—	3	2	no	—
864	#123	—	3	2	no	—
865	#123	—	3	2	no	—
866	#123	—	3	2	no	—
867	#123	—	3	2	no	—
868	#123	C₂×C₃×D₃	1	2	yes	complemented
869	C₂²⋊Q₈	—	3	1	no	—
870	C₂²⋊Q₈	—	3	1	no	—
871	C₂²⋊Q₈	—	3	2	no	—
872	C₂²⋊Q₈	—	3	1	no	—
873	C₂²⋊Q₈	—	3	1	no	—
874	C₂²⋊Q₈	—	3	2	no	—
875	C₂²⋊Q₈	—	3	2	no	—
876	C₂²⋊Q₈	—	3	2	no	—
877	C₂²⋊Q₈	—	3	2	no	—
878	#121	—	3	1	no	—
879	#121	—	3	1	no	—
880	#121	—	3	2	no	—
881	#121	—	3	2	no	—
882	#121	C₂×C₃×D₃	1	2	yes	—
883	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
884	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
885	#120	—	3	2	no	—
886	#120	—	3	2	no	—
887	C₄×Q₈	—	3	2	no	—
888	C₄×Q₈	—	3	1	no	—
889	C₄×Q₈	—	3	2	no	—
890	C₄×Q₈	—	3	1	no	—
891	C₄×Q₈	—	3	2	no	—
892	C₄×D₄	—	3	1	no	—
893	C₄×D₄	—	3	2	no	—
894	C₄×D₄	—	3	1	no	—
895	C₄×D₄	—	3	2	no	—
896	C₄×D₄	—	3	1	no	—
897	C₄×D₄	—	3	1	no	—
898	C₄×D₄	—	3	2	no	—
899	C₄×D₄	—	3	2	no	—
900	C₄×D₄	—	3	2	no	—
901	C₄×D₄	—	3	1	no	—
902	C₄×D₄	—	3	1	no	—
903	C₄×D₄	—	3	1	no	—
904	C₄×D₄	—	3	2	no	—
905	C₄×D₄	—	3	2	no	—
906	C₄×D₄	—	3	2	no	—
907	C₄×D₄	—	3	1	no	—
908	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
909	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
910	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
911	#117	—	3	1	no	—
912	#117	—	3	1	no	—
913	#117	—	3	1	no	—
914	#117	—	3	1	no	—
915	#117	—	3	2	no	—
916	#117	—	3	2	no	—
917	#117	—	3	1	no	—
918	#117	—	3	1	no	—
919	#117	—	3	2	no	—
920	#117	—	3	2	no	—
921	#117	—	3	2	no	—
922	#117	—	3	2	no	—
923	#117	—	3	2	no	—
924	#117	—	3	2	no	—
925	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
926	C₂×C₄⋊C₄	—	3	1	no	—
927	C₂×C₄⋊C₄	—	3	1	no	—
928	C₂×C₄⋊C₄	—	3	1	no	—
929	C₂×C₄⋊C₄	—	3	1	no	—
930	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
931	C₂×C₂²⋊C₄	—	3	2	no	—
932	C₂×C₂²⋊C₄	—	3	2	no	—
933	C₂×C₂²⋊C₄	—	3	1	no	—
934	C₂×C₂²⋊C₄	—	3	1	no	—
935	C₂×C₄²	—	3	2	no	—
936	C₂×C₄²	—	3	2	no	—
937	C₂×C₄²	—	3	2	no	—
938	C₂×C₄²	—	3	1	no	—
939	C₂³×C₃	—	2	1	no	—
940	C₂³×C₃	—	2	1	no	—
941	C₂³×C₃	—	2	2	no	—
942	C₂³×C₃	—	3	1	no	—
943	C₂³×C₃	—	3	1	no	—
944	C₂³×C₃	—	3	1	no	—
945	C₂³×C₃	—	6	2	no	—
946	C₂³×C₃	—	6	2	no	—
947	C₂³×C₃	—	6	2	no	—
948	C₂³×C₃	—	6	2	no	—
949	C₂³×C₃	—	12	1	no	—
950	C₂³×C₃	—	12	1	no	—
951	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
952	C₂³×C₃	C₂³×D₃	1	2	yes	—
953	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
954	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
955	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
956	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
957	C₂²×D₃	—	2	2	no	—
958	C₂²×D₃	—	2	2	no	—
959	C₂²×D₃	—	2	2	no	—
960	C₂²×D₃	—	2	2	no	—
961	C₂²×D₃	—	4	1	no	—
962	C₂²×D₃	—	4	1	no	—
963	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
964	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
965	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
966	C₃×Q₈	—	6	4	no	—
967	C₃×Q₈	—	6	2	no	—
968	C₃×Q₈	—	12	2	no	—
969	C₃×D₄	—	2	2	no	—
970	C₃×D₄	—	2	4	no	—
971	C₃×D₄	—	2	2	no	—
972	C₃×D₄	—	2	4	no	—
973	C₃×D₄	—	2	2	no	—
974	C₃×D₄	—	2	2	no	—
975	C₃×D₄	—	3	4	no	—
976	C₃×D₄	—	4	2	no	—
977	C₃×D₄	—	4	2	no	—
978	C₃×D₄	—	4	4	no	—
979	C₃×D₄	—	4	2	no	—
980	C₃×D₄	—	4	2	no	—
981	C₃×D₄	—	6	2	no	—
982	C₃×D₄	—	6	2	no	—
983	C₃×D₄	—	6	4	no	—
984	C₃×D₄	—	6	4	no	—
985	C₃×D₄	—	8	2	no	—
986	C₃×D₄	—	12	2	no	—
987	C₂×C₃×C₄	—	2	2	no	—
988	C₂×C₃×C₄	—	2	2	no	—
989	C₂×C₃×C₄	—	2	2	no	—
990	C₂×C₃×C₄	—	2	2	no	—
991	C₂×C₃×C₄	—	2	1	no	—
992	C₂×C₃×C₄	—	2	1	no	—
993	C₂×C₃×C₄	—	2	2	no	—
994	C₂×C₃×C₄	—	2	1	no	—
995	C₂×C₃×C₄	—	2	2	no	—
996	C₂×C₃×C₄	—	2	1	no	—
997	C₂×C₃×C₄	—	2	1	no	—
998	C₂×C₃×C₄	—	2	2	no	—
999	C₂×C₃×C₄	—	3	1	no	—
1000	C₂×C₃×C₄	—	3	1	no	—
1001	C₂×C₃×C₄	—	3	4	no	—
1002	C₂×C₃×C₄	—	3	2	no	—
1003	C₂×C₃×C₄	—	3	1	no	—
1004	C₂×C₃×C₄	—	3	1	no	—
1005	C₂×C₃×C₄	—	3	2	no	—
1006	C₂×C₃×C₄	—	3	2	no	—
1007	C₂×C₃×C₄	—	3	2	no	—
1008	C₂×C₃×C₄	—	3	1	no	—
1009	C₂×C₃×C₄	—	4	2	no	—
1010	C₂×C₃×C₄	—	4	2	no	—
1011	C₂×C₃×C₄	—	4	2	no	—
1012	C₂×C₃×C₄	—	4	2	no	—
1013	C₂×C₃×C₄	—	4	2	no	—
1014	C₂×C₃×C₄	—	4	2	no	—
1015	C₂×C₃×C₄	—	6	2	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	—	6	2	no	—
1020	C₂×C₃×C₄	—	6	4	no	—
1021	C₂×C₃×C₄	—	6	2	no	—
1022	C₂×C₃×C₄	—	6	2	no	—
1023	C₂×C₃×C₄	—	6	4	no	—
1024	C₂×C₃×C₄	—	6	4	no	—
1025	C₂×C₃×C₄	—	6	4	no	—
1026	C₂×C₃×C₄	—	6	2	no	—
1027	C₂×C₃×C₄	—	6	2	no	—
1028	C₂×C₃×C₄	—	8	2	no	—
1029	C₂×C₃×C₄	—	8	2	no	—
1030	C₂×C₃×C₄	—	12	2	no	—
1031	C₂×C₃×C₄	—	12	1	no	—
1032	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1033	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1034	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1035	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1036	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1037	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1038	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1039	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1040	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1041	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1042	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1043	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1044	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1045	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1046	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1048	#67	—	2	4	no	—
1049	#67	—	2	4	no	—
1050	#67	—	2	2	no	—
1051	#67	—	4	2	no	—
1052	#67	C₃×#41	1	4	yes	complemented
1053	C₂×Dic₃	—	2	4	no	—
1054	C₂×Dic₃	—	2	2	no	—
1055	C₂×Dic₃	—	2	2	no	—
1056	C₂×Dic₃	—	2	4	no	—
1057	C₂×Dic₃	—	2	4	no	—
1058	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1059	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1060	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1061	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1062	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1063	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1066	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1067	D₁₂	—	2	2	no	—
1068	C₄×D₃	—	2	2	no	—
1069	C₄×D₃	—	2	2	no	—
1070	C₄×D₃	—	2	4	no	—
1071	C₄×D₃	—	2	2	no	—
1072	C₄×D₃	—	2	2	no	—
1073	C₄×D₃	—	2	2	no	—
1074	C₄×D₃	—	2	2	no	—
1075	C₄×D₃	—	2	2	no	—
1076	C₄×D₃	—	4	1	no	—
1077	C₄×D₃	—	4	2	no	—
1078	C₄×D₃	C₃×#41	1	4	yes	complemented
1079	Dic₆	—	2	2	no	—
1080	Dic₆	—	2	4	no	—
1081	Dic₆	—	4	2	no	—
1082	C₂×C₃²	—	2	2	no	—
1083	C₂×C₃²	—	4	1	no	—
1084	C₂×C₃²	—	4	2	no	—
1085	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1086	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1087	C₂×C₃²	#585	1	1	yes	characteristic
1088	C₃×D₃	—	2	2	no	—
1089	C₃×D₃	—	2	2	no	—
1090	C₃×D₃	—	4	1	no	—
1091	C₂⁴	—	3	1	no	—
1092	C₂⁴	—	3	1	no	—
1093	#41	—	6	4	no	—
1094	#41	—	6	8	no	—
1095	C₂×Q₈	—	3	1	no	—
1096	C₂×Q₈	—	3	2	no	—
1097	C₂×Q₈	—	3	2	no	—
1098	C₂×D₄	—	3	1	no	—
1099	C₂×D₄	—	3	2	no	—
1100	C₂×D₄	—	3	2	no	—
1101	C₂×D₄	—	3	1	no	—
1102	C₂×D₄	—	3	2	no	—
1103	C₂×D₄	—	3	1	no	—
1104	C₂×D₄	—	6	4	no	—
1105	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1106	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1107	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1108	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1109	C₂²×C₄	—	3	1	no	—
1110	C₂²×C₄	—	3	1	no	—
1111	C₂²×C₄	—	3	2	no	—
1112	C₂²×C₄	—	3	2	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	1	no	—
1118	C₂²×C₄	—	3	1	no	—
1119	C₂²×C₄	—	3	1	no	—
1120	C₂²×C₄	—	3	1	no	—
1121	C₂²×C₄	—	3	1	no	—
1122	C₂²×C₄	—	3	1	no	—
1123	C₂²×C₄	—	3	1	no	—
1124	C₂²×C₄	—	3	2	no	—
1125	C₂²×C₄	—	6	4	no	—
1126	C₂²×C₄	—	6	4	no	—
1127	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1130	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1131	C₄⋊C₄	—	3	1	no	—
1132	C₄⋊C₄	—	3	1	no	—
1133	C₄⋊C₄	—	3	1	no	—
1134	C₄⋊C₄	—	3	1	no	—
1135	C₄⋊C₄	—	3	2	no	—
1136	C₄⋊C₄	—	3	2	no	—
1137	C₄⋊C₄	—	3	2	no	—
1138	C₄⋊C₄	—	3	1	no	—
1139	C₄⋊C₄	—	3	1	no	—
1140	C₄⋊C₄	—	3	2	no	—
1141	C₄⋊C₄	—	3	2	no	—
1142	C₄⋊C₄	—	3	2	no	—
1143	C₄⋊C₄	—	3	2	no	—
1144	C₄⋊C₄	—	3	2	no	—
1145	C₄⋊C₄	—	3	2	no	—
1146	C₄⋊C₄	—	3	2	no	—
1147	C₄⋊C₄	—	3	2	no	—
1148	C₄⋊C₄	—	3	2	no	—
1149	C₄⋊C₄	—	3	2	no	—
1150	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1151	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1152	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1153	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1154	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1155	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1156	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1157	C₂²⋊C₄	—	3	2	no	—
1158	C₂²⋊C₄	—	3	1	no	—
1159	C₂²⋊C₄	—	3	1	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	1	no	—
1167	C₂²⋊C₄	—	3	2	no	—
1168	C₂²⋊C₄	—	3	2	no	—
1169	C₂²⋊C₄	—	3	2	no	—
1170	C₂²⋊C₄	—	3	2	no	—
1171	C₂²⋊C₄	—	3	1	no	—
1172	C₂²⋊C₄	—	3	1	no	—
1173	C₂²⋊C₄	—	3	1	no	—
1174	C₂²⋊C₄	—	3	2	no	—
1175	C₂²⋊C₄	—	3	2	no	—
1176	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1177	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1178	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1179	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1180	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1181	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1182	C₄²	—	3	2	no	—
1183	C₄²	—	3	1	no	—
1184	C₄²	—	3	2	no	—
1185	C₄²	—	3	2	no	—
1186	C₄²	—	3	1	no	—
1187	C₄²	—	3	2	no	—
1188	C₄²	—	3	2	no	—
1189	C₄²	—	3	2	no	—
1190	C₄²	—	3	2	no	—
1191	C₄²	—	3	1	no	—
1192	C₄²	—	3	2	no	—
1193	C₄²	C₂²×C₃×D₃	1	2	yes	—
1194	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1195	C₂²×C₃	—	2	1	no	—
1196	C₂²×C₃	—	2	1	no	—
1197	C₂²×C₃	—	2	1	no	—
1198	C₂²×C₃	—	2	1	no	—
1199	C₂²×C₃	—	2	1	no	—
1200	C₂²×C₃	—	2	2	no	—
1201	C₂²×C₃	—	2	2	no	—
1202	C₂²×C₃	—	2	1	no	—
1203	C₂²×C₃	—	2	2	no	—
1204	C₂²×C₃	—	2	1	no	—
1205	C₂²×C₃	—	2	2	no	—
1206	C₂²×C₃	—	2	2	no	—
1207	C₂²×C₃	—	2	1	no	—
1208	C₂²×C₃	—	2	1	no	—
1209	C₂²×C₃	—	2	2	no	—
1210	C₂²×C₃	—	2	1	no	—
1211	C₂²×C₃	—	2	2	no	—
1212	C₂²×C₃	—	2	1	no	—
1213	C₂²×C₃	—	3	2	no	—
1214	C₂²×C₃	—	3	2	no	—
1215	C₂²×C₃	—	4	1	no	—
1216	C₂²×C₃	—	4	1	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	—	4	2	no	—
1219	C₂²×C₃	—	4	2	no	—
1220	C₂²×C₃	—	4	2	no	—
1221	C₂²×C₃	—	4	1	no	—
1222	C₂²×C₃	—	4	1	no	—
1223	C₂²×C₃	—	6	1	no	—
1224	C₂²×C₃	—	6	1	no	—
1225	C₂²×C₃	—	6	1	no	—
1226	C₂²×C₃	—	6	1	no	—
1227	C₂²×C₃	—	6	1	no	—
1228	C₂²×C₃	—	6	1	no	—
1229	C₂²×C₃	—	6	1	no	—
1230	C₂²×C₃	—	12	4	no	—
1231	C₂²×C₃	—	12	4	no	—
1232	C₂²×C₃	D₃×#41	1	2	yes	—
1233	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1234	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1235	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1236	C₂×D₃	—	2	1	no	—
1237	C₂×D₃	—	2	1	no	—
1238	C₂×D₃	—	2	1	no	—
1239	C₂×D₃	—	2	1	no	—
1240	C₂×D₃	—	2	1	no	—
1241	C₂×D₃	—	2	1	no	—
1242	C₂×D₃	—	2	1	no	—
1243	C₂×D₃	—	4	4	no	—
1244	C₂×D₃	—	4	4	no	—
1245	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1246	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1247	C₃×C₄	—	2	1	no	—
1248	C₃×C₄	—	2	1	no	—
1249	C₃×C₄	—	2	1	no	—
1250	C₃×C₄	—	2	2	no	—
1251	C₃×C₄	—	2	1	no	—
1252	C₃×C₄	—	2	2	no	—
1253	C₃×C₄	—	2	2	no	—
1254	C₃×C₄	—	2	2	no	—
1255	C₃×C₄	—	2	1	no	—
1256	C₃×C₄	—	2	1	no	—
1257	C₃×C₄	—	2	1	no	—
1258	C₃×C₄	—	2	2	no	—
1259	C₃×C₄	—	2	1	no	—
1260	C₃×C₄	—	2	2	no	—
1261	C₃×C₄	—	2	2	no	—
1262	C₃×C₄	—	3	2	no	—
1263	C₃×C₄	—	3	2	no	—
1264	C₃×C₄	—	4	1	no	—
1265	C₃×C₄	—	4	1	no	—
1266	C₃×C₄	—	4	2	no	—
1267	C₃×C₄	—	4	1	no	—
1268	C₃×C₄	—	4	2	no	—
1269	C₃×C₄	—	4	1	no	—
1270	C₃×C₄	—	4	2	no	—
1271	C₃×C₄	—	6	2	no	—
1272	C₃×C₄	—	6	1	no	—
1273	C₃×C₄	—	6	1	no	—
1274	C₃×C₄	—	6	2	no	—
1275	C₃×C₄	—	6	2	no	—
1276	C₃×C₄	—	6	2	no	—
1277	C₃×C₄	—	6	1	no	—
1278	C₃×C₄	D₃×#41	1	2	yes	—
1279	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1280	Dic₃	—	2	2	no	—
1281	Dic₃	—	2	2	no	—
1282	Dic₃	—	2	1	no	—
1283	Dic₃	—	2	1	no	—
1284	Dic₃	—	2	2	no	—
1285	Dic₃	—	2	1	no	—
1286	Dic₃	—	2	2	no	—
1287	Dic₃	C₂×C₃×#41	1	2	yes	—
1288	Dic₃	C₂×C₃×#41	1	2	yes	—
1289	C₃²	#3475	1	1	yes	characteristic, complemented, Sylow
1290	C₂³	—	3	1	no	—
1291	C₂³	—	3	1	no	—
1292	C₂³	—	3	1	no	—
1293	C₂³	—	6	2	no	—
1294	C₂³	—	6	2	no	—
1295	C₂³	—	6	2	no	—
1296	C₂³	—	6	2	no	—
1297	C₂³	—	12	1	no	—
1298	C₂³	—	12	1	no	—
1299	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1300	C₂³	C₂³×C₃×D₃	1	2	yes	—
1301	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1302	Q₈	—	6	4	no	—
1303	Q₈	—	6	2	no	—
1304	Q₈	—	12	2	no	—
1305	D₄	—	2	2	no	—
1306	D₄	—	2	4	no	—
1307	D₄	—	2	2	no	—
1308	D₄	—	3	4	no	—
1309	D₄	—	4	2	no	—
1310	D₄	—	6	2	no	—
1311	D₄	—	6	2	no	—
1312	D₄	—	6	4	no	—
1313	D₄	—	6	4	no	—
1314	D₄	—	12	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	3	1	no	—
1318	C₂×C₄	—	3	1	no	—
1319	C₂×C₄	—	3	4	no	—
1320	C₂×C₄	—	3	2	no	—
1321	C₂×C₄	—	3	1	no	—
1322	C₂×C₄	—	3	1	no	—
1323	C₂×C₄	—	3	2	no	—
1324	C₂×C₄	—	3	2	no	—
1325	C₂×C₄	—	3	2	no	—
1326	C₂×C₄	—	3	1	no	—
1327	C₂×C₄	—	4	2	no	—
1328	C₂×C₄	—	4	2	no	—
1329	C₂×C₄	—	6	2	no	—
1330	C₂×C₄	—	6	2	no	—
1331	C₂×C₄	—	6	2	no	—
1332	C₂×C₄	—	6	2	no	—
1333	C₂×C₄	—	6	2	no	—
1334	C₂×C₄	—	6	4	no	—
1335	C₂×C₄	—	6	2	no	—
1336	C₂×C₄	—	6	2	no	—
1337	C₂×C₄	—	6	4	no	—
1338	C₂×C₄	—	6	4	no	—
1339	C₂×C₄	—	6	4	no	—
1340	C₂×C₄	—	6	2	no	—
1341	C₂×C₄	—	6	2	no	—
1342	C₂×C₄	—	12	2	no	—
1343	C₂×C₄	—	12	1	no	—
1344	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1345	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1346	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1347	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1348	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1349	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1350	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1351	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1352	C₂×C₃	—	2	2	no	—
1353	C₂×C₃	—	2	2	no	—
1354	C₂×C₃	—	2	1	no	—
1355	C₂×C₃	—	2	1	no	—
1356	C₂×C₃	—	2	1	no	—
1357	C₂×C₃	—	4	2	no	—
1358	C₂×C₃	—	4	1	no	—
1359	C₂×C₃	—	4	2	no	—
1360	C₂×C₃	—	4	1	no	—
1361	C₂×C₃	—	4	2	no	—
1362	C₂×C₃	—	6	2	no	—
1363	C₂×C₃	—	6	2	no	—
1364	C₂×C₃	—	8	1	no	—
1365	C₂×C₃	—	8	2	no	—
1366	C₂×C₃	—	12	1	no	—
1367	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1368	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1369	C₂×C₃	#5966	1	1	yes	characteristic
1370	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1371	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1372	C₂×C₃	C₃×#585	1	1	yes	characteristic
1373	D₃	—	2	2	no	—
1374	D₃	—	2	2	no	—
1375	D₃	—	4	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	2	1	no	—
1378	C₂²	—	2	1	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	1	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	1	no	—
1384	C₂²	—	3	2	no	—
1385	C₂²	—	3	2	no	—
1386	C₂²	—	6	1	no	—
1387	C₂²	—	6	1	no	—
1388	C₂²	—	6	1	no	—
1389	C₂²	—	6	1	no	—
1390	C₂²	—	6	1	no	—
1391	C₂²	—	6	1	no	—
1392	C₂²	—	6	1	no	—
1393	C₂²	—	12	4	no	—
1394	C₂²	—	12	4	no	—
1395	C₂²	C₃×D₃×#41	1	2	yes	—
1396	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	2	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	2	2	no	—
1403	C₄	—	2	2	no	—
1404	C₄	—	3	2	no	—
1405	C₄	—	3	2	no	—
1406	C₄	—	6	2	no	—
1407	C₄	—	6	1	no	—
1408	C₄	—	6	1	no	—
1409	C₄	—	6	2	no	—
1410	C₄	—	6	2	no	—
1411	C₄	—	6	2	no	—
1412	C₄	—	6	1	no	—
1413	C₄	C₃×D₃×#41	1	2	yes	—
1414	C₃	—	2	1	no	—
1415	C₃	#86874	1	1	yes	characteristic, direct product factor
1416	C₃	C₃×#3475	1	1	yes	characteristic, complemented
1417	C₂	—	2	2	no	—
1418	C₂	—	4	1	no	—
1419	C₂	—	4	2	no	—
1420	C₂	—	6	2	no	—
1421	C₂	—	6	2	no	—
1422	C₂	—	12	1	no	—
1423	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1424	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1425	C₂	C₃×#5966	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×#553	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#553	D₃
hypocenter	C₃	C₃×#3475
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#553

Complements

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

N	H ≅ G/N	type
1. C₃²×#553	C₂	semidirect
2. C₃×#5708	C₂	semidirect
3. C₃×#5706	C₂	semidirect
4. C₃×#5694	C₂	semidirect
5. C₃×#5688	C₂	semidirect
6. C₃×#5659	C₂	semidirect
7. C₃×#5649	C₂	semidirect
8. C₃×#5616	C₂	semidirect
9. C₃×#5611	C₂	semidirect
10. C₃×#5610	C₂	semidirect
11. C₃×#5606	C₂	semidirect
12. C₃×#5606	C₂	semidirect
13. C₃×#5600	C₂	semidirect
14. C₃×#5558	C₂	semidirect
15. C₃×#5556	C₂	semidirect
16. C₃×C₄×D₃×D₄	C₂	semidirect
17. C₃×#5541	C₂	semidirect
18. C₃×C₄×#237	C₂	semidirect
19. C₃×C₄×#237	C₂	semidirect
20. C₃×#5533	C₂	semidirect
21. C₃×D₃×#117	C₂	semidirect
22. C₃×#5511	C₂	semidirect
23. C₂×C₃×#892	C₂	semidirect
25. #86874	C₃	direct (N × H)
31. C₃²×#126	C₂²	semidirect
32. C₃²×#125	C₂²	semidirect
33. C₃²×#123	C₂²	semidirect
35. C₃²×#121	C₂²	semidirect
36. C₃²×#121	C₂²	semidirect
38. C₃²×C₄×D₄	C₂²	semidirect
39. C₃²×C₄×D₄	C₂²	semidirect
40. C₃²×#117	C₂²	semidirect
41. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
43. C₃×#938	C₂²	semidirect
44. C₃×#938	C₂²	semidirect
47. C₃×#936	C₂²	semidirect
49. C₃×#935	C₂²	semidirect
51. C₃×D₄×Dic₃	C₂²	semidirect
52. C₃×D₄×Dic₃	C₂²	semidirect
53. C₃×D₄×Dic₃	C₂²	semidirect
54. C₃×#929	C₂²	semidirect
59. C₃×C₄×#67	C₂²	semidirect
61. C₃×#926	C₂²	semidirect
62. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
63. C₃×#924	C₂²	semidirect
64. C₃×#924	C₂²	semidirect
65. C₃×#924	C₂²	semidirect
66. C₂×C₃×C₄×Dic₃	C₂²	semidirect
67. C₂×C₃×C₄×Dic₃	C₂²	semidirect
68. C₃×#898	C₂²	semidirect
69. C₃×#897	C₂²	semidirect
70. C₃×#897	C₂²	semidirect
73. C₃×#896	C₂²	semidirect
80. C₃×#892	C₂²	semidirect
81. C₃×#892	C₂²	semidirect
82. C₃×#892	C₂²	semidirect
83. C₃×#892	C₂²	semidirect
85. C₃×D₃×C₄⋊C₄	C₂²	semidirect
86. C₃×D₃×C₄⋊C₄	C₂²	semidirect
87. C₃×#890	C₂²	semidirect
88. C₃×#889	C₂²	semidirect
89. C₃×#889	C₂²	semidirect
90. C₃×#888	C₂²	semidirect
91. C₃×#888	C₂²	semidirect
92. C₃×#887	C₂²	semidirect
93. C₃×#887	C₂²	semidirect
94. C₃×#887	C₂²	semidirect
96. C₃×#885	C₂²	semidirect
100. C₃×#883	C₂²	semidirect
104. C₃×#67⋊C₄	C₂²	semidirect
105. C₃×#67⋊C₄	C₂²	semidirect
109. C₃×#879	C₂²	semidirect
110. C₃×#879	C₂²	semidirect
111. C₃×#879	C₂²	semidirect
112. C₃×#878	C₂²	semidirect
113. C₃×#877	C₂²	semidirect
114. C₃×#877	C₂²	semidirect
115. C₃×#877	C₂²	semidirect
116. C₃×#877	C₂²	semidirect
117. C₃×#876	C₂²	semidirect
121. C₃×C₄²×D₃	C₂²	semidirect
122. C₃×#870	C₂²	semidirect
123. C₃×C₄×Dic₆	C₂²	semidirect
124. C₃×C₄×Dic₆	C₂²	semidirect
130. C₃×#553	D₃	semidirect
131. C₃×#553	C₂×C₃	semidirect
150. #5708	C₂×C₃	semidirect
151. #5706	C₂×C₃	semidirect
152. #5694	C₂×C₃	semidirect
153. #5688	C₂×C₃	semidirect
154. #5659	C₂×C₃	semidirect
155. #5649	C₂×C₃	semidirect
156. #5616	C₂×C₃	semidirect
157. #5611	C₂×C₃	semidirect
158. #5610	C₂×C₃	semidirect
159. #5606	C₂×C₃	semidirect
160. #5606	C₂×C₃	semidirect
161. #5600	C₂×C₃	semidirect
162. #5558	C₂×C₃	semidirect
163. #5556	C₂×C₃	semidirect
164. C₄×D₃×D₄	C₂×C₃	semidirect
165. #5541	C₂×C₃	semidirect
166. C₄×#237	C₂×C₃	semidirect
167. C₄×#237	C₂×C₃	semidirect
168. #5533	C₂×C₃	semidirect
169. D₃×#117	C₂×C₃	semidirect
170. #5511	C₂×C₃	semidirect
171. C₂×#892	C₂×C₃	semidirect
295. C₃×#126	C₂×D₃	semidirect
296. C₃×#126	C₂²×C₃	semidirect
302. C₃×#125	C₂×D₃	semidirect
303. C₃×#125	C₂²×C₃	semidirect
315. C₃×#123	C₂×D₃	semidirect
316. C₃×#123	C₂²×C₃	semidirect
334. C₃×#121	C₂×D₃	semidirect
335. C₃×#121	C₂×D₃	semidirect
337. C₃×#121	C₂²×C₃	semidirect
338. C₃×#121	C₂²×C₃	semidirect
366. C₃×C₄×D₄	C₂×D₃	semidirect
367. C₃×C₄×D₄	C₂×D₃	semidirect
369. C₃×C₄×D₄	C₂²×C₃	semidirect
370. C₃×C₄×D₄	C₂²×C₃	semidirect
386. C₃×#117	C₂×D₃	semidirect
387. C₃×#117	C₂²×C₃	semidirect
393. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
394. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
404. #938	C₂²×C₃	semidirect
405. #938	C₂²×C₃	semidirect
408. #936	C₂²×C₃	semidirect
410. #935	C₂²×C₃	semidirect
412. D₄×Dic₃	C₂²×C₃	semidirect
413. D₄×Dic₃	C₂²×C₃	semidirect
414. D₄×Dic₃	C₂²×C₃	semidirect
415. #929	C₂²×C₃	semidirect
420. C₄×#67	C₂²×C₃	semidirect
422. #926	C₂²×C₃	semidirect
423. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
424. #924	C₂²×C₃	semidirect
425. #924	C₂²×C₃	semidirect
426. #924	C₂²×C₃	semidirect
427. C₂×C₄×Dic₃	C₂²×C₃	semidirect
428. C₂×C₄×Dic₃	C₂²×C₃	semidirect
429. #898	C₂²×C₃	semidirect
430. #897	C₂²×C₃	semidirect
431. #897	C₂²×C₃	semidirect
434. #896	C₂²×C₃	semidirect
441. #892	C₂²×C₃	semidirect
442. #892	C₂²×C₃	semidirect
443. #892	C₂²×C₃	semidirect
444. #892	C₂²×C₃	semidirect
446. D₃×C₄⋊C₄	C₂²×C₃	semidirect
447. D₃×C₄⋊C₄	C₂²×C₃	semidirect
448. #890	C₂²×C₃	semidirect
449. #889	C₂²×C₃	semidirect
450. #889	C₂²×C₃	semidirect
451. #888	C₂²×C₃	semidirect
452. #888	C₂²×C₃	semidirect
453. #887	C₂²×C₃	semidirect
454. #887	C₂²×C₃	semidirect
455. #887	C₂²×C₃	semidirect
457. #885	C₂²×C₃	semidirect
461. #883	C₂²×C₃	semidirect
465. #67⋊C₄	C₂²×C₃	semidirect
466. #67⋊C₄	C₂²×C₃	semidirect
470. #879	C₂²×C₃	semidirect
471. #879	C₂²×C₃	semidirect
472. #879	C₂²×C₃	semidirect
473. #878	C₂²×C₃	semidirect
474. #877	C₂²×C₃	semidirect
475. #877	C₂²×C₃	semidirect
476. #877	C₂²×C₃	semidirect
477. #877	C₂²×C₃	semidirect
478. #876	C₂²×C₃	semidirect
482. C₄²×D₃	C₂²×C₃	semidirect
483. #870	C₂²×C₃	semidirect
484. C₄×Dic₆	C₂²×C₃	semidirect
485. C₄×Dic₆	C₂²×C₃	semidirect
518. C₃×#67	#41	semidirect
544. C₃×C₄×D₃	#41	semidirect
552. #553	C₃×D₃	semidirect
852. #126	C₂×C₃×D₃	semidirect
857. #125	C₂×C₃×D₃	semidirect
868. #123	C₂×C₃×D₃	semidirect
883. #121	C₂×C₃×D₃	semidirect
884. #121	C₂×C₃×D₃	semidirect
909. C₄×D₄	C₂×C₃×D₃	semidirect
910. C₄×D₄	C₂×C₃×D₃	semidirect
925. #117	C₂×C₃×D₃	semidirect
930. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1052. #67	C₃×#41	semidirect
1078. C₄×D₃	C₃×#41	semidirect
1289. C₃²	#3475	semidirect
1415. C₃	#86874	direct (N × H)
1416. C₃	C₃×#3475	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#553	2
C₃×#5708	2
C₃×#5706	2
C₃×#5694	2
C₃×#5688	2
C₃×#5659	2
C₃×#5649	2
C₃×#5616	2
C₃×#5611	2
C₃×#5610	2
C₃×#5606	2
C₃×#5600	2
C₃×#5558	2
C₃×#5556	2
C₃×C₄×D₃×D₄	2
C₃×#5541	2
C₃×C₄×#237	2
C₃×#5533	2
C₃×D₃×#117	2
C₃×#5511	2
C₂×C₃×#892	2
C₃×#3475	3
#86874	3

Subgroups — C3×#86874 #11903457

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86874 #11903457