Subgroups — C₃×#86827 #11903439

Order 1152.

2371 conjugacy classes of subgroups.

The subgroup lattice has 1421 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5706	C₂	1	2	yes	maximal, complemented
3	C₃×#5705	C₂	1	2	yes	maximal, complemented
4	C₃×#5695	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5693	C₂	1	2	yes	maximal, complemented
6	C₃×#5691	C₂	1	2	yes	maximal, complemented
7	C₃×#5688	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5654	C₂	1	2	yes	maximal, complemented
9	C₃×#5649	C₂	1	2	yes	maximal, complemented
10	C₃×#5641	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5635	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5627	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5627	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5581	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×#239	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5565	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5532	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5527	C₂	1	2	yes	maximal, complemented
20	C₃×#5522	C₂	1	2	yes	maximal, complemented
21	C₃×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5507	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	#86827	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃×#239	C₂²	1	1	yes	characteristic
27	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
28	C₂×C₃×#235	C₂²	1	2	yes	—
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×#125	C₂²	1	2	yes	complemented
34	C₃²×#123	C₂²	1	2	yes	—
35	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#117	C₂²	1	2	yes	complemented
41	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
42	C₃×#946	C₂²	1	1	yes	characteristic, complemented
43	C₃×#946	C₂²	1	1	yes	characteristic, complemented
44	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
45	C₃×#939	C₂²	1	2	yes	—
46	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
47	C₃×#930	C₂²	1	1	yes	characteristic, complemented
48	C₃×#930	C₂²	1	1	yes	characteristic, complemented
49	C₃×#929	C₂²	1	2	yes	complemented
50	C₃×C₄×#67	C₂²	1	1	yes	characteristic
51	C₃×C₄×#67	C₂²	1	1	yes	characteristic
52	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
53	C₃×#926	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
56	C₃×#898	C₂²	1	2	yes	complemented
57	C₃×#898	C₂²	1	2	yes	complemented
58	C₃×#898	C₂²	1	2	yes	complemented
59	C₃×#897	C₂²	1	2	yes	complemented
60	C₃×#896	C₂²	1	2	yes	—
61	C₃×#896	C₂²	1	2	yes	—
62	C₃×#896	C₂²	1	2	yes	complemented
63	C₃×#895	C₂²	1	2	yes	—
64	C₃×#895	C₂²	1	1	yes	characteristic, complemented
65	C₃×#895	C₂²	1	1	yes	characteristic, complemented
66	C₃×#894	C₂²	1	2	yes	—
67	C₃×#894	C₂²	1	2	yes	—
68	C₃×#894	C₂²	1	2	yes	—
69	C₃×#894	C₂²	1	2	yes	complemented
70	C₃×#894	C₂²	1	2	yes	complemented
71	C₃×#893	C₂²	1	1	yes	characteristic
72	C₃×#893	C₂²	1	2	yes	—
73	C₃×#893	C₂²	1	1	yes	characteristic, complemented
74	C₃×#893	C₂²	1	2	yes	complemented
75	C₃×#893	C₂²	1	2	yes	complemented
76	C₃×#893	C₂²	1	2	yes	complemented
77	C₃×#892	C₂²	1	1	yes	characteristic
78	C₃×#892	C₂²	1	1	yes	characteristic
79	C₃×#892	C₂²	1	2	yes	—
80	C₃×#892	C₂²	1	1	yes	characteristic
81	C₃×#892	C₂²	1	1	yes	characteristic, complemented
82	C₃×#892	C₂²	1	1	yes	characteristic, complemented
83	C₃×#892	C₂²	1	2	yes	complemented
84	C₃×#892	C₂²	1	2	yes	complemented
85	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
86	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, 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	2	yes	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	complemented
99	C₃×#882	C₂²	1	2	yes	—
100	C₃×#882	C₂²	1	2	yes	—
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×#67⋊C₄	C₂²	1	2	yes	complemented
107	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
108	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
109	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
110	C₃×#879	C₂²	1	2	yes	complemented
111	C₃×#878	C₂²	1	2	yes	complemented
112	C₃×#877	C₂²	1	2	yes	complemented
113	C₃×#876	C₂²	1	2	yes	complemented
114	C₃×#875	C₂²	1	2	yes	complemented
115	C₃×C₄×D₁₂	C₂²	1	2	yes	—
116	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
117	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
118	C₃×#872	C₂²	1	2	yes	—
119	C₃×#872	C₂²	1	2	yes	complemented
120	C₃×#872	C₂²	1	2	yes	complemented
121	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
122	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
123	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
124	C₃×#870	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	—	3	1	no	—
129	C₃×#553	—	3	1	no	—
130	C₃×#552	—	2	1	no	—
131	C₃×#552	—	3	2	no	—
132	C₃×#552	—	3	1	no	—
133	C₃×#552	D₃	1	1	yes	characteristic, complemented
134	C₃×#552	C₂×C₃	1	1	yes	characteristic, complemented
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	1	no	—
146	C₃×C₄×#41	—	3	2	no	—
147	C₂×C₃×C₄×D₄	—	3	1	no	—
148	C₂×C₃×#117	—	3	1	no	—
149	C₂×C₃×#117	—	3	1	no	—
150	#5706	C₂×C₃	1	2	yes	complemented
151	#5705	C₂×C₃	1	2	yes	complemented
152	#5695	C₂×C₃	1	1	yes	characteristic, complemented
153	#5693	C₂×C₃	1	2	yes	complemented
154	#5691	C₂×C₃	1	2	yes	complemented
155	#5688	C₂×C₃	1	1	yes	characteristic, complemented
156	#5654	C₂×C₃	1	2	yes	complemented
157	#5649	C₂×C₃	1	2	yes	complemented
158	#5641	C₂×C₃	1	1	yes	characteristic, complemented
159	#5635	C₂×C₃	1	1	yes	characteristic, complemented
160	#5627	C₂×C₃	1	1	yes	characteristic, complemented
161	#5627	C₂×C₃	1	1	yes	characteristic, complemented
162	#5581	C₂×C₃	1	1	yes	characteristic, complemented
163	C₄×#239	C₂×C₃	1	1	yes	characteristic, complemented
164	#5565	C₂×C₃	1	1	yes	characteristic, complemented
165	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
166	#5532	C₂×C₃	1	1	yes	characteristic, complemented
167	#5527	C₂×C₃	1	2	yes	complemented
168	#5522	C₂×C₃	1	2	yes	complemented
169	D₃×#117	C₂×C₃	1	1	yes	characteristic, complemented
170	#5507	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×Q₈	C₂³	1	1	yes	characteristic
175	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
176	C₂²×C₃²×C₄	C₂³	1	2	yes	—
177	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
178	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
179	C₂×C₃×#67	C₂³	1	1	yes	characteristic
180	C₂×C₃×#67	C₂³	1	2	yes	—
181	C₂×C₃×#67	C₂³	1	2	yes	—
182	C₂×C₃×#67	C₂³	1	1	yes	characteristic
183	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
184	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
185	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
186	C₃×#239	—	2	4	no	—
187	C₃×D₃×D₄	—	2	4	no	—
188	C₃×#235	—	2	8	no	—
189	C₂×C₃×D₁₂	C₂³	1	2	yes	—
190	C₂×C₃×D₁₂	C₂³	1	2	yes	—
191	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
192	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
193	C₂×C₃×D₁₂	C₂³	1	2	yes	—
194	C₂×C₃×C₄×D₃	—	2	4	no	—
195	C₂×C₃×C₄×D₃	—	2	4	no	—
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	1	yes	characteristic
201	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
202	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
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	2	yes	—
209	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
210	C₂×C₃×Dic₆	C₂³	1	2	yes	—
211	C₂×C₃×Dic₆	C₂³	1	2	yes	—
212	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
213	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
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×C₄⋊C₄	C₂³	1	2	yes	—
219	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₃²×C₄⋊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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₃²×C₄²	C₂³	1	2	yes	—
228	C₃²×C₄²	C₂³	1	2	yes	—
229	C₃²×C₄²	C₂³	1	1	yes	characteristic
230	C₃×#217	C₂³	1	2	yes	—
231	C₃×#217	C₂³	1	1	yes	characteristic
232	C₃×#217	C₂³	1	1	yes	characteristic
233	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
234	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
238	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
239	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
240	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
247	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
248	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
249	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
254	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
255	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
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	2	yes	—
262	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
265	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
266	C₃×C₄×Dic₃	C₂³	1	2	yes	—
267	C₃×C₄×Dic₃	C₂³	1	2	yes	—
268	C₃×C₄×Dic₃	C₂³	1	2	yes	—
269	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
270	C₃×C₄×Dic₃	C₂³	1	2	yes	—
271	C₃×C₄×Dic₃	C₂³	1	2	yes	—
272	C₃×C₄×Dic₃	C₂³	1	2	yes	—
273	C₃×C₄×Dic₃	C₂³	1	2	yes	—
274	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
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×#239	C₂²×C₃	1	1	yes	characteristic
283	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
284	C₂×#235	C₂²×C₃	1	2	yes	—
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	2	no	—
298	C₃×#125	—	2	1	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	2	yes	complemented
303	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
304	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
305	C₃×#125	C₂²×C₃	1	2	yes	complemented
306	C₃×#124	—	3	2	no	—
307	C₃×#124	—	3	2	no	—
308	C₃×#124	—	3	2	no	—
309	C₃×#123	—	2	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	—	3	2	no	—
316	C₃×#123	—	3	2	no	—
317	C₃×#123	C₂×D₃	1	2	yes	—
318	C₃×#123	C₂²×C₃	1	2	yes	—
319	C₃×C₂²⋊Q₈	—	2	1	no	—
320	C₃×C₂²⋊Q₈	—	2	1	no	—
321	C₃×C₂²⋊Q₈	—	3	1	no	—
322	C₃×C₂²⋊Q₈	—	3	1	no	—
323	C₃×C₂²⋊Q₈	—	3	2	no	—
324	C₃×C₂²⋊Q₈	—	3	2	no	—
325	C₃×C₂²⋊Q₈	—	3	2	no	—
326	C₃×C₂²⋊Q₈	—	3	2	no	—
327	C₃×C₂²⋊Q₈	—	3	2	no	—
328	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
329	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
330	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
331	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
332	C₃×#121	—	3	2	no	—
333	C₃×#121	—	3	1	no	—
334	C₃×#121	—	3	1	no	—
335	C₃×#121	—	3	2	no	—
336	C₃×#121	—	3	1	no	—
337	C₃×#121	—	3	1	no	—
338	C₃×#121	—	3	2	no	—
339	C₃×#120	—	3	2	no	—
340	C₃×#120	—	3	2	no	—
341	C₃×C₄×Q₈	—	2	1	no	—
342	C₃×C₄×Q₈	—	3	1	no	—
343	C₃×C₄×Q₈	—	3	2	no	—
344	C₃×C₄×Q₈	—	3	2	no	—
345	C₃×C₄×Q₈	—	3	2	no	—
346	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
347	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
348	C₃×C₄×D₄	—	2	1	no	—
349	C₃×C₄×D₄	—	3	1	no	—
350	C₃×C₄×D₄	—	3	1	no	—
351	C₃×C₄×D₄	—	3	1	no	—
352	C₃×C₄×D₄	—	3	1	no	—
353	C₃×C₄×D₄	—	3	2	no	—
354	C₃×C₄×D₄	—	3	2	no	—
355	C₃×C₄×D₄	—	3	1	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	2	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	—	3	2	no	—
366	C₃×C₄×D₄	—	3	1	no	—
367	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
368	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
369	C₃×#117	—	2	1	no	—
370	C₃×#117	—	2	2	no	—
371	C₃×#117	—	3	1	no	—
372	C₃×#117	—	3	1	no	—
373	C₃×#117	—	3	1	no	—
374	C₃×#117	—	3	1	no	—
375	C₃×#117	—	3	2	no	—
376	C₃×#117	—	3	2	no	—
377	C₃×#117	—	3	1	no	—
378	C₃×#117	—	3	1	no	—
379	C₃×#117	—	3	2	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	C₂×D₃	1	1	yes	characteristic, complemented
385	C₃×#117	C₂×D₃	1	2	yes	complemented
386	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
387	C₃×#117	C₂²×C₃	1	2	yes	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	1	no	—
402	C₂×C₃×C₄²	—	3	2	no	—
403	#946	C₂²×C₃	1	1	yes	characteristic, complemented
404	#946	C₂²×C₃	1	1	yes	characteristic, complemented
405	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
406	#939	C₂²×C₃	1	2	yes	—
407	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
408	#930	C₂²×C₃	1	1	yes	characteristic, complemented
409	#930	C₂²×C₃	1	1	yes	characteristic, complemented
410	#929	C₂²×C₃	1	2	yes	complemented
411	C₄×#67	C₂²×C₃	1	1	yes	characteristic
412	C₄×#67	C₂²×C₃	1	1	yes	characteristic
413	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
414	#926	C₂²×C₃	1	1	yes	characteristic, complemented
415	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
416	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
417	#898	C₂²×C₃	1	2	yes	complemented
418	#898	C₂²×C₃	1	2	yes	complemented
419	#898	C₂²×C₃	1	2	yes	complemented
420	#897	C₂²×C₃	1	2	yes	complemented
421	#896	C₂²×C₃	1	2	yes	—
422	#896	C₂²×C₃	1	2	yes	—
423	#896	C₂²×C₃	1	2	yes	complemented
424	#895	C₂²×C₃	1	2	yes	—
425	#895	C₂²×C₃	1	1	yes	characteristic, complemented
426	#895	C₂²×C₃	1	1	yes	characteristic, complemented
427	#894	C₂²×C₃	1	2	yes	—
428	#894	C₂²×C₃	1	2	yes	—
429	#894	C₂²×C₃	1	2	yes	—
430	#894	C₂²×C₃	1	2	yes	complemented
431	#894	C₂²×C₃	1	2	yes	complemented
432	#893	C₂²×C₃	1	2	yes	—
433	#893	C₂²×C₃	1	1	yes	characteristic
434	#893	C₂²×C₃	1	2	yes	complemented
435	#893	C₂²×C₃	1	2	yes	complemented
436	#893	C₂²×C₃	1	2	yes	complemented
437	#893	C₂²×C₃	1	1	yes	characteristic, complemented
438	#892	C₂²×C₃	1	1	yes	characteristic
439	#892	C₂²×C₃	1	1	yes	characteristic
440	#892	C₂²×C₃	1	2	yes	—
441	#892	C₂²×C₃	1	1	yes	characteristic
442	#892	C₂²×C₃	1	1	yes	characteristic, complemented
443	#892	C₂²×C₃	1	2	yes	complemented
444	#892	C₂²×C₃	1	2	yes	complemented
445	#892	C₂²×C₃	1	1	yes	characteristic, complemented
446	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
447	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
448	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, 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	2	yes	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	complemented
460	#882	C₂²×C₃	1	2	yes	—
461	#882	C₂²×C₃	1	2	yes	—
462	#67⋊C₄	C₂²×C₃	1	2	yes	—
463	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
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	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
468	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
469	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
470	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
471	#879	C₂²×C₃	1	2	yes	complemented
472	#878	C₂²×C₃	1	2	yes	complemented
473	#877	C₂²×C₃	1	2	yes	complemented
474	#876	C₂²×C₃	1	2	yes	complemented
475	#875	C₂²×C₃	1	2	yes	complemented
476	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
477	C₄×D₁₂	C₂²×C₃	1	2	yes	—
478	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
479	#872	C₂²×C₃	1	2	yes	—
480	#872	C₂²×C₃	1	2	yes	complemented
481	#872	C₂²×C₃	1	2	yes	complemented
482	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
483	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
484	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
485	#870	C₂²×C₃	1	1	yes	characteristic, complemented
486	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
487	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
488	C₂²×C₃×D₃	—	2	2	no	—
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	—	4	1	no	—
493	C₂²×C₃×D₃	—	4	1	no	—
494	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
495	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
496	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
498	C₃²×Q₈	—	2	2	no	—
499	C₃²×D₄	—	2	2	no	—
500	C₂×C₃²×C₄	—	2	4	no	—
501	C₂×C₃²×C₄	—	2	2	no	—
502	C₂×C₃²×C₄	—	2	2	no	—
503	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
504	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
505	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
512	C₃×#67	—	2	4	no	—
513	C₃×#67	—	2	2	no	—
514	C₃×#67	—	4	2	no	—
515	C₃×#67	#41	1	4	yes	complemented
516	C₂×C₃×Dic₃	—	2	2	no	—
517	C₂×C₃×Dic₃	—	2	2	no	—
518	C₂×C₃×Dic₃	—	4	2	no	—
519	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
521	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
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	1	yes	characteristic
526	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
527	C₃×D₁₂	—	2	4	no	—
528	C₃×D₁₂	—	2	2	no	—
529	C₃×D₁₂	—	2	4	no	—
530	C₃×D₁₂	—	2	2	no	—
531	C₃×D₁₂	—	4	2	no	—
532	C₃×C₄×D₃	—	2	2	no	—
533	C₃×C₄×D₃	—	2	2	no	—
534	C₃×C₄×D₃	—	2	4	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	—	2	4	no	—
540	C₃×C₄×D₃	—	2	2	no	—
541	C₃×C₄×D₃	—	2	4	no	—
542	C₃×C₄×D₃	—	4	1	no	—
543	C₃×C₄×D₃	—	4	2	no	—
544	C₃×C₄×D₃	—	4	2	no	—
545	C₃×C₄×D₃	#41	1	4	yes	complemented
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	—	3	1	no	—
553	#552	—	3	2	no	—
554	#552	—	3	1	no	—
555	#552	C₃×D₃	1	1	yes	characteristic, complemented
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	1	no	—
567	C₄×#41	—	3	2	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	8	no	—
576	C₃×#41	—	6	4	no	—
577	C₂×C₃×Q₈	—	2	1	no	—
578	C₂×C₃×Q₈	—	3	2	no	—
579	C₂×C₃×Q₈	—	3	2	no	—
580	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
581	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
582	C₂×C₃×D₄	—	2	1	no	—
583	C₂×C₃×D₄	—	3	1	no	—
584	C₂×C₃×D₄	—	3	2	no	—
585	C₂×C₃×D₄	—	3	1	no	—
586	C₂×C₃×D₄	—	3	2	no	—
587	C₂×C₃×D₄	—	3	2	no	—
588	C₂×C₃×D₄	—	3	2	no	—
589	C₂×C₃×D₄	—	3	1	no	—
590	C₂×C₃×D₄	—	3	1	no	—
591	C₂×C₃×D₄	—	3	2	no	—
592	C₂×C₃×D₄	—	6	4	no	—
593	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
594	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
595	C₂²×C₃×C₄	—	2	2	no	—
596	C₂²×C₃×C₄	—	2	1	no	—
597	C₂²×C₃×C₄	—	2	1	no	—
598	C₂²×C₃×C₄	—	3	1	no	—
599	C₂²×C₃×C₄	—	3	1	no	—
600	C₂²×C₃×C₄	—	3	1	no	—
601	C₂²×C₃×C₄	—	3	2	no	—
602	C₂²×C₃×C₄	—	3	1	no	—
603	C₂²×C₃×C₄	—	3	2	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	1	no	—
608	C₂²×C₃×C₄	—	3	1	no	—
609	C₂²×C₃×C₄	—	3	1	no	—
610	C₂²×C₃×C₄	—	3	1	no	—
611	C₂²×C₃×C₄	—	3	1	no	—
612	C₂²×C₃×C₄	—	3	1	no	—
613	C₂²×C₃×C₄	—	3	2	no	—
614	C₂²×C₃×C₄	—	3	2	no	—
615	C₂²×C₃×C₄	—	6	4	no	—
616	C₂²×C₃×C₄	—	6	4	no	—
617	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
618	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
619	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
621	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
622	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
623	C₂×#67	C₂³×C₃	1	1	yes	characteristic
624	C₂×#67	C₂³×C₃	1	2	yes	—
625	C₂×#67	C₂³×C₃	1	2	yes	—
626	C₂×#67	C₂³×C₃	1	1	yes	characteristic
627	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
628	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
629	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
630	#239	—	2	4	no	—
631	D₃×D₄	—	2	4	no	—
632	#235	—	2	8	no	—
633	C₂×D₁₂	C₂³×C₃	1	2	yes	—
634	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
635	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
636	C₂×D₁₂	C₂³×C₃	1	2	yes	—
637	C₂×D₁₂	C₂³×C₃	1	2	yes	—
638	C₂×C₄×D₃	—	2	4	no	—
639	C₂×C₄×D₃	—	2	4	no	—
640	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
641	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
642	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
643	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
647	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
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	2	yes	—
652	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
653	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
654	C₂×Dic₆	C₂³×C₃	1	2	yes	—
655	C₂×Dic₆	C₂³×C₃	1	2	yes	—
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	1	no	—
660	C₃×C₄⋊C₄	—	2	2	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	2	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	1	no	—
677	C₃×C₄⋊C₄	—	3	1	no	—
678	C₃×C₄⋊C₄	—	3	1	no	—
679	C₃×C₄⋊C₄	—	3	2	no	—
680	C₃×C₄⋊C₄	—	3	1	no	—
681	C₃×C₄⋊C₄	—	3	2	no	—
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	1	yes	characteristic
685	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
686	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
687	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
688	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
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	2	yes	—
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	2	yes	—
698	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
699	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
700	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
701	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
702	C₃×C₂²⋊C₄	—	2	1	no	—
703	C₃×C₂²⋊C₄	—	2	2	no	—
704	C₃×C₂²⋊C₄	—	2	2	no	—
705	C₃×C₂²⋊C₄	—	2	1	no	—
706	C₃×C₂²⋊C₄	—	2	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	2	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	1	no	—
717	C₃×C₂²⋊C₄	—	3	1	no	—
718	C₃×C₂²⋊C₄	—	3	1	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	—	3	2	no	—
723	C₃×C₂²⋊C₄	—	3	2	no	—
724	C₃×C₂²⋊C₄	—	3	2	no	—
725	C₃×C₂²⋊C₄	—	3	2	no	—
726	C₃×C₂²⋊C₄	—	3	2	no	—
727	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
728	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
729	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
730	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
731	C₃×C₂²⋊C₄	C₂²×D₃	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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
737	C₃×C₄²	—	2	2	no	—
738	C₃×C₄²	—	2	2	no	—
739	C₃×C₄²	—	2	1	no	—
740	C₃×C₄²	—	3	2	no	—
741	C₃×C₄²	—	3	1	no	—
742	C₃×C₄²	—	3	2	no	—
743	C₃×C₄²	—	3	1	no	—
744	C₃×C₄²	—	3	2	no	—
745	C₃×C₄²	—	3	2	no	—
746	C₃×C₄²	—	3	2	no	—
747	C₃×C₄²	—	3	2	no	—
748	C₃×C₄²	—	3	1	no	—
749	C₃×C₄²	—	3	2	no	—
750	C₃×C₄²	C₂²×D₃	1	2	yes	—
751	C₃×C₄²	C₂²×D₃	1	2	yes	—
752	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
753	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
754	C₃×C₄²	C₂³×C₃	1	2	yes	—
755	C₃×C₄²	C₂³×C₃	1	2	yes	—
756	#217	C₂³×C₃	1	2	yes	—
757	#217	C₂³×C₃	1	1	yes	characteristic
758	#217	C₂³×C₃	1	1	yes	characteristic
759	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
760	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
761	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
763	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
764	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
765	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
766	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	1	yes	characteristic
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	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
776	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
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	1	yes	characteristic
781	C₄⋊Dic₃	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	1	yes	characteristic
787	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
788	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
789	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
790	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
791	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
792	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
793	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
794	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
795	C₄×Dic₃	C₂³×C₃	1	2	yes	—
796	C₄×Dic₃	C₂³×C₃	1	2	yes	—
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	1	no	—
805	C₂²×C₃²	—	2	1	no	—
806	C₂²×C₃²	—	2	1	no	—
807	C₂²×C₃²	C₂×#41	1	2	yes	—
808	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
809	C₂×C₃×D₃	—	2	1	no	—
810	C₂×C₃×D₃	—	2	1	no	—
811	C₂×C₃×D₃	—	2	1	no	—
812	C₂×C₃×D₃	—	2	1	no	—
813	C₂×C₃×D₃	—	2	1	no	—
814	C₂×C₃×D₃	—	2	2	no	—
815	C₂×C₃×D₃	—	2	2	no	—
816	C₂×C₃×D₃	—	2	1	no	—
817	C₂×C₃×D₃	—	2	2	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	2	no	—
825	C₃²×C₄	—	2	1	no	—
826	C₃²×C₄	—	2	1	no	—
827	C₃²×C₄	—	2	1	no	—
828	C₃²×C₄	—	2	2	no	—
829	C₃²×C₄	—	2	2	no	—
830	C₃²×C₄	—	2	1	no	—
831	C₃²×C₄	C₂×#41	1	2	yes	—
832	C₃×Dic₃	—	2	2	no	—
833	C₃×Dic₃	—	2	1	no	—
834	C₃×Dic₃	—	2	1	no	—
835	C₃×Dic₃	—	2	1	no	—
836	C₃×Dic₃	—	2	2	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	1	no	—
856	#125	C₂×C₃×D₃	1	2	yes	complemented
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	—
869	C₂²⋊Q₈	—	3	1	no	—
870	C₂²⋊Q₈	—	3	1	no	—
871	C₂²⋊Q₈	—	3	2	no	—
872	C₂²⋊Q₈	—	3	2	no	—
873	C₂²⋊Q₈	—	3	2	no	—
874	C₂²⋊Q₈	—	3	2	no	—
875	C₂²⋊Q₈	—	3	2	no	—
876	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
877	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
878	#121	—	3	2	no	—
879	#121	—	3	1	no	—
880	#121	—	3	1	no	—
881	#121	—	3	1	no	—
882	#121	—	3	1	no	—
883	#121	—	3	2	no	—
884	#121	—	3	2	no	—
885	#120	—	3	2	no	—
886	#120	—	3	2	no	—
887	C₄×Q₈	—	3	1	no	—
888	C₄×Q₈	—	3	2	no	—
889	C₄×Q₈	—	3	2	no	—
890	C₄×Q₈	—	3	2	no	—
891	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
892	C₄×D₄	—	3	1	no	—
893	C₄×D₄	—	3	1	no	—
894	C₄×D₄	—	3	1	no	—
895	C₄×D₄	—	3	1	no	—
896	C₄×D₄	—	3	2	no	—
897	C₄×D₄	—	3	2	no	—
898	C₄×D₄	—	3	1	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	2	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	—	3	2	no	—
909	C₄×D₄	—	3	1	no	—
910	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
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	C₂×C₃×D₃	1	1	yes	characteristic, complemented
925	#117	C₂×C₃×D₃	1	2	yes	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	1	no	—
938	C₂×C₄²	—	3	2	no	—
939	C₂³×C₃	—	2	1	no	—
940	C₂³×C₃	—	2	1	no	—
941	C₂³×C₃	—	3	1	no	—
942	C₂³×C₃	—	3	1	no	—
943	C₂³×C₃	—	3	1	no	—
944	C₂³×C₃	—	3	2	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	1	yes	characteristic
953	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
954	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
955	C₂²×D₃	—	2	2	no	—
956	C₂²×D₃	—	2	2	no	—
957	C₂²×D₃	—	2	2	no	—
958	C₂²×D₃	—	2	2	no	—
959	C₂²×D₃	—	4	1	no	—
960	C₂²×D₃	—	4	1	no	—
961	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
962	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
963	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
964	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
965	C₃×Q₈	—	2	2	no	—
966	C₃×Q₈	—	2	2	no	—
967	C₃×Q₈	—	4	2	no	—
968	C₃×Q₈	—	6	4	no	—
969	C₃×Q₈	—	12	2	no	—
970	C₃×D₄	—	2	2	no	—
971	C₃×D₄	—	2	2	no	—
972	C₃×D₄	—	3	4	no	—
973	C₃×D₄	—	4	2	no	—
974	C₃×D₄	—	6	2	no	—
975	C₃×D₄	—	6	4	no	—
976	C₃×D₄	—	6	4	no	—
977	C₃×D₄	—	6	2	no	—
978	C₃×D₄	—	6	4	no	—
979	C₃×D₄	—	6	2	no	—
980	C₃×D₄	—	12	2	no	—
981	C₃×D₄	—	12	2	no	—
982	C₂×C₃×C₄	—	2	4	no	—
983	C₂×C₃×C₄	—	2	4	no	—
984	C₂×C₃×C₄	—	2	2	no	—
985	C₂×C₃×C₄	—	2	2	no	—
986	C₂×C₃×C₄	—	2	2	no	—
987	C₂×C₃×C₄	—	2	2	no	—
988	C₂×C₃×C₄	—	2	1	no	—
989	C₂×C₃×C₄	—	2	1	no	—
990	C₂×C₃×C₄	—	2	1	no	—
991	C₂×C₃×C₄	—	2	2	no	—
992	C₂×C₃×C₄	—	2	2	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	—	3	1	no	—
998	C₂×C₃×C₄	—	3	1	no	—
999	C₂×C₃×C₄	—	3	4	no	—
1000	C₂×C₃×C₄	—	3	1	no	—
1001	C₂×C₃×C₄	—	3	2	no	—
1002	C₂×C₃×C₄	—	3	1	no	—
1003	C₂×C₃×C₄	—	3	2	no	—
1004	C₂×C₃×C₄	—	3	2	no	—
1005	C₂×C₃×C₄	—	3	1	no	—
1006	C₂×C₃×C₄	—	4	2	no	—
1007	C₂×C₃×C₄	—	4	2	no	—
1008	C₂×C₃×C₄	—	4	4	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	4	no	—
1013	C₂×C₃×C₄	—	6	4	no	—
1014	C₂×C₃×C₄	—	6	2	no	—
1015	C₂×C₃×C₄	—	6	2	no	—
1016	C₂×C₃×C₄	—	6	4	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	2	no	—
1021	C₂×C₃×C₄	—	12	2	no	—
1022	C₂×C₃×C₄	—	12	1	no	—
1023	C₂×C₃×C₄	—	12	2	no	—
1024	C₂×C₃×C₄	—	12	2	no	—
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	2	yes	—
1028	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1029	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1030	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1031	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1032	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1033	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1034	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
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	2	yes	—
1038	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1039	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1040	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1041	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1042	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1043	#67	—	2	4	no	—
1044	#67	—	2	2	no	—
1045	#67	—	4	2	no	—
1046	#67	C₃×#41	1	4	yes	complemented
1047	C₂×Dic₃	—	2	2	no	—
1048	C₂×Dic₃	—	2	2	no	—
1049	C₂×Dic₃	—	4	2	no	—
1050	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1051	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1052	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1053	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1054	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1055	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1056	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1057	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1058	D₁₂	—	2	4	no	—
1059	D₁₂	—	2	2	no	—
1060	D₁₂	—	2	4	no	—
1061	D₁₂	—	2	2	no	—
1062	D₁₂	—	4	2	no	—
1063	C₄×D₃	—	2	2	no	—
1064	C₄×D₃	—	2	2	no	—
1065	C₄×D₃	—	2	4	no	—
1066	C₄×D₃	—	2	2	no	—
1067	C₄×D₃	—	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	4	no	—
1073	C₄×D₃	—	4	1	no	—
1074	C₄×D₃	—	4	2	no	—
1075	C₄×D₃	—	4	2	no	—
1076	C₄×D₃	C₃×#41	1	4	yes	complemented
1077	Dic₆	—	2	4	no	—
1078	Dic₆	—	4	2	no	—
1079	C₂×C₃²	—	2	2	no	—
1080	C₂×C₃²	—	4	1	no	—
1081	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1082	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1083	C₂×C₃²	#585	1	1	yes	characteristic
1084	C₃×D₃	—	2	2	no	—
1085	C₃×D₃	—	2	2	no	—
1086	C₃×D₃	—	4	2	no	—
1087	C₃×D₃	—	4	1	no	—
1088	C₂⁴	—	3	1	no	—
1089	C₂⁴	—	3	1	no	—
1090	#41	—	6	8	no	—
1091	#41	—	6	4	no	—
1092	C₂×Q₈	—	3	2	no	—
1093	C₂×Q₈	—	3	2	no	—
1094	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1095	C₂×D₄	—	3	1	no	—
1096	C₂×D₄	—	3	2	no	—
1097	C₂×D₄	—	3	1	no	—
1098	C₂×D₄	—	3	2	no	—
1099	C₂×D₄	—	3	2	no	—
1100	C₂×D₄	—	3	2	no	—
1101	C₂×D₄	—	3	1	no	—
1102	C₂×D₄	—	3	1	no	—
1103	C₂×D₄	—	3	2	no	—
1104	C₂×D₄	—	6	4	no	—
1105	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1106	C₂²×C₄	—	3	1	no	—
1107	C₂²×C₄	—	3	1	no	—
1108	C₂²×C₄	—	3	1	no	—
1109	C₂²×C₄	—	3	2	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	2	no	—
1115	C₂²×C₄	—	3	1	no	—
1116	C₂²×C₄	—	3	1	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	2	no	—
1122	C₂²×C₄	—	3	2	no	—
1123	C₂²×C₄	—	6	4	no	—
1124	C₂²×C₄	—	6	4	no	—
1125	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1126	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1128	C₄⋊C₄	—	3	1	no	—
1129	C₄⋊C₄	—	3	1	no	—
1130	C₄⋊C₄	—	3	1	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	1	no	—
1136	C₄⋊C₄	—	3	1	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	—	3	2	no	—
1142	C₄⋊C₄	—	3	2	no	—
1143	C₄⋊C₄	—	3	2	no	—
1144	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1145	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1146	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1147	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1148	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1149	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1150	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1151	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1152	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1153	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1154	C₂²⋊C₄	—	3	2	no	—
1155	C₂²⋊C₄	—	3	1	no	—
1156	C₂²⋊C₄	—	3	1	no	—
1157	C₂²⋊C₄	—	3	2	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	1	no	—
1164	C₂²⋊C₄	—	3	1	no	—
1165	C₂²⋊C₄	—	3	1	no	—
1166	C₂²⋊C₄	—	3	2	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	2	no	—
1172	C₂²⋊C₄	—	3	2	no	—
1173	C₂²⋊C₄	—	3	2	no	—
1174	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1175	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
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	2	yes	—
1179	C₄²	—	3	2	no	—
1180	C₄²	—	3	1	no	—
1181	C₄²	—	3	2	no	—
1182	C₄²	—	3	1	no	—
1183	C₄²	—	3	2	no	—
1184	C₄²	—	3	2	no	—
1185	C₄²	—	3	2	no	—
1186	C₄²	—	3	2	no	—
1187	C₄²	—	3	1	no	—
1188	C₄²	—	3	2	no	—
1189	C₄²	C₂²×C₃×D₃	1	2	yes	—
1190	C₄²	C₂²×C₃×D₃	1	2	yes	—
1191	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1192	C₂²×C₃	—	2	1	no	—
1193	C₂²×C₃	—	2	1	no	—
1194	C₂²×C₃	—	2	1	no	—
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	1	no	—
1201	C₂²×C₃	—	2	1	no	—
1202	C₂²×C₃	—	2	2	no	—
1203	C₂²×C₃	—	2	1	no	—
1204	C₂²×C₃	—	3	2	no	—
1205	C₂²×C₃	—	3	2	no	—
1206	C₂²×C₃	—	4	1	no	—
1207	C₂²×C₃	—	4	1	no	—
1208	C₂²×C₃	—	4	1	no	—
1209	C₂²×C₃	—	4	1	no	—
1210	C₂²×C₃	—	4	1	no	—
1211	C₂²×C₃	—	6	1	no	—
1212	C₂²×C₃	—	6	1	no	—
1213	C₂²×C₃	—	6	1	no	—
1214	C₂²×C₃	—	6	1	no	—
1215	C₂²×C₃	—	6	1	no	—
1216	C₂²×C₃	—	6	2	no	—
1217	C₂²×C₃	—	6	2	no	—
1218	C₂²×C₃	—	6	1	no	—
1219	C₂²×C₃	—	6	2	no	—
1220	C₂²×C₃	—	6	1	no	—
1221	C₂²×C₃	—	12	4	no	—
1222	C₂²×C₃	—	12	4	no	—
1223	C₂²×C₃	D₃×#41	1	2	yes	—
1224	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1225	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1226	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1227	C₂×D₃	—	2	1	no	—
1228	C₂×D₃	—	2	1	no	—
1229	C₂×D₃	—	2	1	no	—
1230	C₂×D₃	—	2	1	no	—
1231	C₂×D₃	—	2	1	no	—
1232	C₂×D₃	—	2	2	no	—
1233	C₂×D₃	—	2	2	no	—
1234	C₂×D₃	—	2	1	no	—
1235	C₂×D₃	—	2	2	no	—
1236	C₂×D₃	—	2	1	no	—
1237	C₂×D₃	—	4	4	no	—
1238	C₂×D₃	—	4	4	no	—
1239	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1240	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1241	C₃×C₄	—	2	2	no	—
1242	C₃×C₄	—	2	1	no	—
1243	C₃×C₄	—	2	1	no	—
1244	C₃×C₄	—	2	2	no	—
1245	C₃×C₄	—	2	1	no	—
1246	C₃×C₄	—	2	2	no	—
1247	C₃×C₄	—	2	1	no	—
1248	C₃×C₄	—	2	2	no	—
1249	C₃×C₄	—	2	2	no	—
1250	C₃×C₄	—	2	2	no	—
1251	C₃×C₄	—	2	1	no	—
1252	C₃×C₄	—	2	1	no	—
1253	C₃×C₄	—	2	1	no	—
1254	C₃×C₄	—	2	2	no	—
1255	C₃×C₄	—	2	2	no	—
1256	C₃×C₄	—	2	1	no	—
1257	C₃×C₄	—	2	2	no	—
1258	C₃×C₄	—	3	2	no	—
1259	C₃×C₄	—	3	2	no	—
1260	C₃×C₄	—	4	1	no	—
1261	C₃×C₄	—	4	1	no	—
1262	C₃×C₄	—	4	2	no	—
1263	C₃×C₄	—	4	2	no	—
1264	C₃×C₄	—	4	1	no	—
1265	C₃×C₄	—	4	2	no	—
1266	C₃×C₄	—	4	1	no	—
1267	C₃×C₄	—	4	2	no	—
1268	C₃×C₄	—	6	1	no	—
1269	C₃×C₄	—	6	1	no	—
1270	C₃×C₄	—	6	2	no	—
1271	C₃×C₄	—	6	2	no	—
1272	C₃×C₄	—	6	2	no	—
1273	C₃×C₄	—	6	1	no	—
1274	C₃×C₄	D₃×#41	1	2	yes	—
1275	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1276	Dic₃	—	2	2	no	—
1277	Dic₃	—	2	1	no	—
1278	Dic₃	—	2	1	no	—
1279	Dic₃	—	2	1	no	—
1280	Dic₃	—	2	2	no	—
1281	Dic₃	—	2	2	no	—
1282	Dic₃	C₂×C₃×#41	1	2	yes	—
1283	Dic₃	C₂×C₃×#41	1	2	yes	—
1284	C₃²	#3475	1	1	yes	characteristic, complemented, Sylow
1285	C₂³	—	3	1	no	—
1286	C₂³	—	3	1	no	—
1287	C₂³	—	3	1	no	—
1288	C₂³	—	3	2	no	—
1289	C₂³	—	6	2	no	—
1290	C₂³	—	6	2	no	—
1291	C₂³	—	6	2	no	—
1292	C₂³	—	6	2	no	—
1293	C₂³	—	12	1	no	—
1294	C₂³	—	12	1	no	—
1295	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1296	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1297	Q₈	—	2	2	no	—
1298	Q₈	—	6	4	no	—
1299	Q₈	—	12	2	no	—
1300	D₄	—	2	2	no	—
1301	D₄	—	3	4	no	—
1302	D₄	—	6	2	no	—
1303	D₄	—	6	4	no	—
1304	D₄	—	6	4	no	—
1305	D₄	—	6	2	no	—
1306	D₄	—	6	4	no	—
1307	D₄	—	6	2	no	—
1308	D₄	—	12	2	no	—
1309	D₄	—	12	2	no	—
1310	C₂×C₄	—	2	4	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	3	1	no	—
1314	C₂×C₄	—	3	1	no	—
1315	C₂×C₄	—	3	4	no	—
1316	C₂×C₄	—	3	1	no	—
1317	C₂×C₄	—	3	2	no	—
1318	C₂×C₄	—	3	1	no	—
1319	C₂×C₄	—	3	2	no	—
1320	C₂×C₄	—	3	2	no	—
1321	C₂×C₄	—	3	1	no	—
1322	C₂×C₄	—	6	2	no	—
1323	C₂×C₄	—	6	2	no	—
1324	C₂×C₄	—	6	2	no	—
1325	C₂×C₄	—	6	4	no	—
1326	C₂×C₄	—	6	4	no	—
1327	C₂×C₄	—	6	2	no	—
1328	C₂×C₄	—	6	2	no	—
1329	C₂×C₄	—	6	4	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	—	12	2	no	—
1335	C₂×C₄	—	12	1	no	—
1336	C₂×C₄	—	12	2	no	—
1337	C₂×C₄	—	12	2	no	—
1338	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1339	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1340	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1341	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1342	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1343	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1344	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1345	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1346	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1347	C₂×C₃	—	2	2	no	—
1348	C₂×C₃	—	2	2	no	—
1349	C₂×C₃	—	2	1	no	—
1350	C₂×C₃	—	2	1	no	—
1351	C₂×C₃	—	2	1	no	—
1352	C₂×C₃	—	4	2	no	—
1353	C₂×C₃	—	4	1	no	—
1354	C₂×C₃	—	4	1	no	—
1355	C₂×C₃	—	6	2	no	—
1356	C₂×C₃	—	6	2	no	—
1357	C₂×C₃	—	8	1	no	—
1358	C₂×C₃	—	12	1	no	—
1359	C₂×C₃	—	12	2	no	—
1360	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1361	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1362	C₂×C₃	#5968	1	1	yes	characteristic
1363	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1364	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1365	C₂×C₃	C₃×#585	1	1	yes	characteristic
1366	D₃	—	2	2	no	—
1367	D₃	—	2	2	no	—
1368	D₃	—	4	1	no	—
1369	D₃	—	4	2	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	3	2	no	—
1376	C₂²	—	3	2	no	—
1377	C₂²	—	6	1	no	—
1378	C₂²	—	6	1	no	—
1379	C₂²	—	6	1	no	—
1380	C₂²	—	6	1	no	—
1381	C₂²	—	6	1	no	—
1382	C₂²	—	6	2	no	—
1383	C₂²	—	6	2	no	—
1384	C₂²	—	6	1	no	—
1385	C₂²	—	6	2	no	—
1386	C₂²	—	6	1	no	—
1387	C₂²	—	12	4	no	—
1388	C₂²	—	12	4	no	—
1389	C₂²	C₃×D₃×#41	1	2	yes	—
1390	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1391	C₄	—	2	2	no	—
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	3	2	no	—
1400	C₄	—	3	2	no	—
1401	C₄	—	6	1	no	—
1402	C₄	—	6	1	no	—
1403	C₄	—	6	2	no	—
1404	C₄	—	6	2	no	—
1405	C₄	—	6	2	no	—
1406	C₄	—	6	1	no	—
1407	C₄	C₃×D₃×#41	1	2	yes	—
1408	C₃	—	2	1	no	—
1409	C₃	#86827	1	1	yes	characteristic, direct product factor
1410	C₃	C₃×#3475	1	1	yes	characteristic, complemented
1411	C₂	—	2	2	no	—
1412	C₂	—	4	1	no	—
1413	C₂	—	6	2	no	—
1414	C₂	—	6	2	no	—
1415	C₂	—	12	1	no	—
1416	C₂	—	12	2	no	—
1417	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1418	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1419	C₂	C₃×#5968	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×#552	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#552	D₃
hypocenter	C₃	C₃×#3475
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#552

Complements

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

N	H ≅ G/N	type
1. C₃²×#552	C₂	semidirect
2. C₃×#5706	C₂	semidirect
3. C₃×#5705	C₂	semidirect
4. C₃×#5695	C₂	semidirect
5. C₃×#5693	C₂	semidirect
6. C₃×#5691	C₂	semidirect
7. C₃×#5688	C₂	semidirect
8. C₃×#5654	C₂	semidirect
9. C₃×#5649	C₂	semidirect
10. C₃×#5641	C₂	semidirect
11. C₃×#5635	C₂	semidirect
12. C₃×#5627	C₂	semidirect
13. C₃×#5627	C₂	semidirect
14. C₃×#5581	C₂	semidirect
15. C₃×C₄×#239	C₂	semidirect
16. C₃×#5565	C₂	semidirect
17. C₃×C₄×D₃×D₄	C₂	semidirect
18. C₃×#5532	C₂	semidirect
19. C₃×#5527	C₂	semidirect
20. C₃×#5522	C₂	semidirect
21. C₃×D₃×#117	C₂	semidirect
22. C₃×#5507	C₂	semidirect
23. C₂×C₃×#892	C₂	semidirect
25. #86827	C₃	direct (N × H)
31. C₃²×#126	C₂²	semidirect
32. C₃²×#125	C₂²	semidirect
33. C₃²×#125	C₂²	semidirect
35. C₃²×C₂²⋊Q₈	C₂²	semidirect
36. C₃²×C₂²⋊Q₈	C₂²	semidirect
37. C₃²×C₄×Q₈	C₂²	semidirect
39. C₃²×#117	C₂²	semidirect
40. C₃²×#117	C₂²	semidirect
41. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
42. C₃×#946	C₂²	semidirect
43. C₃×#946	C₂²	semidirect
44. C₃×Q₈×Dic₃	C₂²	semidirect
47. C₃×#930	C₂²	semidirect
48. C₃×#930	C₂²	semidirect
49. C₃×#929	C₂²	semidirect
53. C₃×#926	C₂²	semidirect
54. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
55. C₂×C₃×C₄×Dic₃	C₂²	semidirect
56. C₃×#898	C₂²	semidirect
57. C₃×#898	C₂²	semidirect
58. C₃×#898	C₂²	semidirect
59. C₃×#897	C₂²	semidirect
62. C₃×#896	C₂²	semidirect
64. C₃×#895	C₂²	semidirect
65. C₃×#895	C₂²	semidirect
69. C₃×#894	C₂²	semidirect
70. C₃×#894	C₂²	semidirect
73. C₃×#893	C₂²	semidirect
74. C₃×#893	C₂²	semidirect
75. C₃×#893	C₂²	semidirect
76. C₃×#893	C₂²	semidirect
81. C₃×#892	C₂²	semidirect
82. C₃×#892	C₂²	semidirect
83. C₃×#892	C₂²	semidirect
84. C₃×#892	C₂²	semidirect
86. C₃×D₃×C₄⋊C₄	C₂²	semidirect
87. C₃×D₃×C₄⋊C₄	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
98. C₃×#883	C₂²	semidirect
104. C₃×#67⋊C₄	C₂²	semidirect
105. C₃×#67⋊C₄	C₂²	semidirect
106. C₃×#67⋊C₄	C₂²	semidirect
110. C₃×#879	C₂²	semidirect
111. C₃×#878	C₂²	semidirect
112. C₃×#877	C₂²	semidirect
113. C₃×#876	C₂²	semidirect
114. C₃×#875	C₂²	semidirect
117. C₃×C₄×D₁₂	C₂²	semidirect
119. C₃×#872	C₂²	semidirect
120. C₃×#872	C₂²	semidirect
122. C₃×C₄²×D₃	C₂²	semidirect
123. C₃×C₄²×D₃	C₂²	semidirect
124. C₃×#870	C₂²	semidirect
133. C₃×#552	D₃	semidirect
134. C₃×#552	C₂×C₃	semidirect
150. #5706	C₂×C₃	semidirect
151. #5705	C₂×C₃	semidirect
152. #5695	C₂×C₃	semidirect
153. #5693	C₂×C₃	semidirect
154. #5691	C₂×C₃	semidirect
155. #5688	C₂×C₃	semidirect
156. #5654	C₂×C₃	semidirect
157. #5649	C₂×C₃	semidirect
158. #5641	C₂×C₃	semidirect
159. #5635	C₂×C₃	semidirect
160. #5627	C₂×C₃	semidirect
161. #5627	C₂×C₃	semidirect
162. #5581	C₂×C₃	semidirect
163. C₄×#239	C₂×C₃	semidirect
164. #5565	C₂×C₃	semidirect
165. C₄×D₃×D₄	C₂×C₃	semidirect
166. #5532	C₂×C₃	semidirect
167. #5527	C₂×C₃	semidirect
168. #5522	C₂×C₃	semidirect
169. D₃×#117	C₂×C₃	semidirect
170. #5507	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	C₂×D₃	semidirect
304. C₃×#125	C₂²×C₃	semidirect
305. C₃×#125	C₂²×C₃	semidirect
328. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
329. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
330. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
331. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
346. C₃×C₄×Q₈	C₂×D₃	semidirect
347. C₃×C₄×Q₈	C₂²×C₃	semidirect
384. C₃×#117	C₂×D₃	semidirect
385. C₃×#117	C₂×D₃	semidirect
386. C₃×#117	C₂²×C₃	semidirect
387. C₃×#117	C₂²×C₃	semidirect
393. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
394. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
403. #946	C₂²×C₃	semidirect
404. #946	C₂²×C₃	semidirect
405. Q₈×Dic₃	C₂²×C₃	semidirect
408. #930	C₂²×C₃	semidirect
409. #930	C₂²×C₃	semidirect
410. #929	C₂²×C₃	semidirect
414. #926	C₂²×C₃	semidirect
415. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
416. C₂×C₄×Dic₃	C₂²×C₃	semidirect
417. #898	C₂²×C₃	semidirect
418. #898	C₂²×C₃	semidirect
419. #898	C₂²×C₃	semidirect
420. #897	C₂²×C₃	semidirect
423. #896	C₂²×C₃	semidirect
425. #895	C₂²×C₃	semidirect
426. #895	C₂²×C₃	semidirect
430. #894	C₂²×C₃	semidirect
431. #894	C₂²×C₃	semidirect
434. #893	C₂²×C₃	semidirect
435. #893	C₂²×C₃	semidirect
436. #893	C₂²×C₃	semidirect
437. #893	C₂²×C₃	semidirect
442. #892	C₂²×C₃	semidirect
443. #892	C₂²×C₃	semidirect
444. #892	C₂²×C₃	semidirect
445. #892	C₂²×C₃	semidirect
447. D₃×C₄⋊C₄	C₂²×C₃	semidirect
448. D₃×C₄⋊C₄	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
459. #883	C₂²×C₃	semidirect
465. #67⋊C₄	C₂²×C₃	semidirect
466. #67⋊C₄	C₂²×C₃	semidirect
467. #67⋊C₄	C₂²×C₃	semidirect
471. #879	C₂²×C₃	semidirect
472. #878	C₂²×C₃	semidirect
473. #877	C₂²×C₃	semidirect
474. #876	C₂²×C₃	semidirect
475. #875	C₂²×C₃	semidirect
478. C₄×D₁₂	C₂²×C₃	semidirect
480. #872	C₂²×C₃	semidirect
481. #872	C₂²×C₃	semidirect
483. C₄²×D₃	C₂²×C₃	semidirect
484. C₄²×D₃	C₂²×C₃	semidirect
485. #870	C₂²×C₃	semidirect
515. C₃×#67	#41	semidirect
545. C₃×C₄×D₃	#41	semidirect
555. #552	C₃×D₃	semidirect
852. #126	C₂×C₃×D₃	semidirect
856. #125	C₂×C₃×D₃	semidirect
857. #125	C₂×C₃×D₃	semidirect
876. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
877. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
891. C₄×Q₈	C₂×C₃×D₃	semidirect
924. #117	C₂×C₃×D₃	semidirect
925. #117	C₂×C₃×D₃	semidirect
930. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1046. #67	C₃×#41	semidirect
1076. C₄×D₃	C₃×#41	semidirect
1284. C₃²	#3475	semidirect
1409. C₃	#86827	direct (N × H)
1410. 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×#552	2
C₃×#5706	2
C₃×#5705	2
C₃×#5695	2
C₃×#5693	2
C₃×#5691	2
C₃×#5688	2
C₃×#5654	2
C₃×#5649	2
C₃×#5641	2
C₃×#5635	2
C₃×#5627	2
C₃×#5581	2
C₃×C₄×#239	2
C₃×#5565	2
C₃×C₄×D₃×D₄	2
C₃×#5532	2
C₃×#5527	2
C₃×#5522	2
C₃×D₃×#117	2
C₃×#5507	2
C₂×C₃×#892	2
C₃×#3475	3
#86827	3

Subgroups — C3×#86827 #11903439

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86827 #11903439