Subgroups — C₃×#86643 #11909376

Order 1152.

2251 conjugacy classes of subgroups.

The subgroup lattice has 1383 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5827	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5824	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5798	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5680	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5671	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5665	C₂	1	2	yes	maximal, complemented
9	C₃×#5650	C₂	1	2	yes	maximal, complemented
10	C₃×#5641	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5625	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5618	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5603	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5601	C₂	1	2	yes	maximal, complemented
15	C₃×#5600	C₂	1	2	yes	maximal, complemented
16	C₃×#5593	C₂	1	2	yes	maximal, complemented
17	C₃×#5587	C₂	1	2	yes	maximal, complemented
18	C₃×#5557	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5541	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5539	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5495	C₂	1	2	yes	maximal, complemented
23	C₂×C₃×#879	C₂	1	2	yes	maximal, complemented
24	C₃×#3521	—	3	1	no	maximal
25	#86643	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃²×#41	C₂²	1	1	yes	characteristic
27	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic
28	C₂×C₃×#237	C₂²	1	1	yes	characteristic
29	C₃²×#124	C₂²	1	1	yes	characteristic
30	C₃²×#123	C₂²	1	2	yes	—
31	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
32	C₃²×#121	C₂²	1	2	yes	—
33	C₃²×#121	C₂²	1	1	yes	characteristic
34	C₃²×#120	C₂²	1	2	yes	—
35	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
36	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
37	C₂×C₃²×C₂²⋊C₄	C₂²	1	2	yes	—
38	C₃×#953	C₂²	1	2	yes	—
39	C₂×C₃×#217	C₂²	1	2	yes	—
40	C₂×C₃×#217	C₂²	1	2	yes	—
41	C₂×C₃×#217	C₂²	1	2	yes	—
42	C₃×#946	C₂²	1	1	yes	characteristic, complemented
43	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
44	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
45	C₃×#944	C₂²	1	1	yes	characteristic, complemented
46	C₃×#939	C₂²	1	2	yes	—
47	C₃×#939	C₂²	1	2	yes	complemented
48	C₃×#939	C₂²	1	2	yes	complemented
49	C₃×#938	C₂²	1	1	yes	characteristic
50	C₃×#938	C₂²	1	1	yes	characteristic
51	C₃×#936	C₂²	1	1	yes	characteristic
52	C₃×#936	C₂²	1	1	yes	characteristic
53	C₃×#936	C₂²	1	2	yes	complemented
54	C₃×#935	C₂²	1	2	yes	—
55	C₃×#935	C₂²	1	2	yes	—
56	C₃×#935	C₂²	1	2	yes	complemented
57	C₃×#935	C₂²	1	2	yes	complemented
58	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
59	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
60	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
61	C₃×D₄×Dic₃	C₂²	1	2	yes	—
62	C₃×D₄×Dic₃	C₂²	1	2	yes	—
63	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
64	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
65	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
66	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
67	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
68	C₃×#929	C₂²	1	2	yes	complemented
69	C₃×C₄×#67	C₂²	1	1	yes	characteristic
70	C₃×C₄×#67	C₂²	1	2	yes	complemented
71	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
72	C₃×#926	C₂²	1	1	yes	characteristic
73	C₃×#926	C₂²	1	1	yes	characteristic
74	C₃×#926	C₂²	1	2	yes	complemented
75	C₃×#926	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₃×C₄⋊Dic₃	C₂²	1	2	yes	complemented
78	C₃×#924	C₂²	1	1	yes	characteristic
79	C₃×#924	C₂²	1	2	yes	complemented
80	C₃×#924	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
82	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
83	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
84	C₃×#898	C₂²	1	2	yes	complemented
85	C₃×#897	C₂²	1	1	yes	characteristic, complemented
86	C₃×#892	C₂²	1	1	yes	characteristic, complemented
87	C₃×#890	C₂²	1	1	yes	characteristic, complemented
88	C₃×#890	C₂²	1	1	yes	characteristic, complemented
89	C₃×#890	C₂²	1	2	yes	complemented
90	C₃×#889	C₂²	1	2	yes	complemented
91	C₃×#889	C₂²	1	2	yes	complemented
92	C₃×#888	C₂²	1	1	yes	characteristic, complemented
93	C₃×#887	C₂²	1	1	yes	characteristic, complemented
94	C₃×#887	C₂²	1	2	yes	complemented
95	C₃×#886	C₂²	1	2	yes	complemented
96	C₃×#885	C₂²	1	2	yes	—
97	C₃×#883	C₂²	1	1	yes	characteristic
98	C₃×#883	C₂²	1	1	yes	characteristic, complemented
99	C₃×#883	C₂²	1	2	yes	complemented
100	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
101	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
102	C₃×#879	C₂²	1	2	yes	—
103	C₃×#879	C₂²	1	2	yes	—
104	C₃×#879	C₂²	1	1	yes	characteristic
105	C₃×#879	C₂²	1	2	yes	—
106	C₃×#879	C₂²	1	2	yes	—
107	C₃×#879	C₂²	1	1	yes	characteristic, complemented
108	C₃×#879	C₂²	1	2	yes	complemented
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×#879	C₂²	1	2	yes	complemented
113	C₃×#878	C₂²	1	2	yes	complemented
114	C₃×#878	C₂²	1	2	yes	complemented
115	C₃×#878	C₂²	1	2	yes	complemented
116	C₃×#878	C₂²	1	2	yes	complemented
117	C₃×#877	C₂²	1	2	yes	complemented
118	C₃×#877	C₂²	1	2	yes	complemented
119	C₃×#877	C₂²	1	2	yes	complemented
120	C₃×#877	C₂²	1	2	yes	complemented
121	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
122	C₃×#870	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
125	C₃×#556	—	3	1	no	—
126	C₃×#556	—	3	1	no	—
127	C₃×#554	—	3	1	no	—
128	C₃×#553	—	3	2	no	—
129	C₃×#553	—	3	1	no	—
130	C₃×#552	—	3	2	no	—
131	C₃×#552	—	3	1	no	—
132	C₃×#551	—	3	2	no	—
133	C₃×#551	—	3	2	no	—
134	C₃×#547	—	3	1	no	—
135	C₃×#546	—	2	1	no	—
136	C₃×#546	—	3	1	no	—
137	C₃×#546	D₃	1	1	yes	characteristic, complemented
138	C₃×#546	C₂×C₃	1	1	yes	characteristic, complemented
139	C₃×#542	—	3	1	no	—
140	C₃×#541	—	3	1	no	—
141	C₃×#539	—	3	2	no	—
142	C₃×#538	—	3	2	no	—
143	C₃×#529	—	3	1	no	—
144	C₃×#529	—	3	2	no	—
145	C₃×#529	—	3	1	no	—
146	C₂×C₃×#126	—	3	2	no	—
147	C₃×#520	—	3	1	no	—
148	C₃×#518	—	3	1	no	—
149	C₃×C₄×#41	—	3	1	no	—
150	#5827	C₂×C₃	1	1	yes	characteristic, complemented
151	#5824	C₂×C₃	1	1	yes	characteristic, complemented
152	#5806	C₂×C₃	1	1	yes	characteristic, complemented
153	#5798	C₂×C₃	1	1	yes	characteristic, complemented
154	#5680	C₂×C₃	1	1	yes	characteristic, complemented
155	#5671	C₂×C₃	1	1	yes	characteristic, complemented
156	#5665	C₂×C₃	1	2	yes	complemented
157	#5650	C₂×C₃	1	2	yes	complemented
158	#5641	C₂×C₃	1	1	yes	characteristic, complemented
159	#5625	C₂×C₃	1	1	yes	characteristic, complemented
160	#5618	C₂×C₃	1	1	yes	characteristic, complemented
161	#5603	C₂×C₃	1	1	yes	characteristic, complemented
162	#5601	C₂×C₃	1	2	yes	complemented
163	#5600	C₂×C₃	1	2	yes	complemented
164	#5593	C₂×C₃	1	2	yes	complemented
165	#5587	C₂×C₃	1	2	yes	complemented
166	#5557	C₂×C₃	1	1	yes	characteristic, complemented
167	#5541	C₂×C₃	1	1	yes	characteristic, complemented
168	#5539	C₂×C₃	1	1	yes	characteristic, complemented
169	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
170	#5495	C₂×C₃	1	2	yes	complemented
171	C₂×#879	C₂×C₃	1	2	yes	complemented
172	C₂⁴×C₃²	C₂³	1	2	yes	—
173	C₃²×#41	—	2	4	no	—
174	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
175	C₂×C₃²×D₄	—	2	4	no	—
176	C₂×C₃²×D₄	C₂³	1	2	yes	—
177	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
178	C₂×C₃²×D₄	C₂³	1	2	yes	—
179	C₂×C₃²×D₄	C₂³	1	2	yes	—
180	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
181	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
182	C₂²×C₃²×C₄	C₂³	1	2	yes	—
183	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
184	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
185	C₂²×C₃²×C₄	C₂³	1	2	yes	—
186	C₂×C₃×#67	C₂³	1	2	yes	—
187	C₂×C₃×#67	C₂³	1	2	yes	—
188	C₂×C₃×#67	C₂³	1	1	yes	characteristic
189	C₂×C₃×#67	C₂³	1	1	yes	characteristic
190	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
191	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
192	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
193	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
194	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
195	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
196	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
197	C₃×#237	—	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	1	yes	characteristic
201	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
202	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
203	C₂×C₃×Dic₆	C₂³	1	2	yes	—
204	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
206	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₃²×C₄²	C₂³	1	1	yes	characteristic
215	C₃×#217	C₂³	1	2	yes	—
216	C₃×#217	C₂³	1	2	yes	—
217	C₃×#217	C₂³	1	2	yes	—
218	C₃×#217	C₂³	1	2	yes	—
219	C₃×#217	C₂³	1	2	yes	—
220	C₃×#217	C₂³	1	2	yes	—
221	C₃×#217	C₂³	1	2	yes	—
222	C₃×#217	C₂³	1	2	yes	—
223	C₃×#217	C₂³	1	1	yes	characteristic
224	C₃×#217	C₂³	1	1	yes	characteristic
225	C₃×#217	C₂³	1	1	yes	characteristic
226	C₃×#217	C₂³	1	2	yes	—
227	C₃×#217	C₂³	1	2	yes	—
228	C₃×#217	C₂³	1	2	yes	—
229	C₃×#217	C₂³	1	1	yes	characteristic
230	C₃×#217	C₂³	1	1	yes	characteristic
231	C₃×#217	C₂³	1	1	yes	characteristic
232	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
233	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
234	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
235	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
236	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
237	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
238	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
239	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
240	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
241	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
242	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
243	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
244	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
245	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
246	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
247	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
248	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
250	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
251	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
252	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
253	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
260	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
261	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
264	C₃×C₄×Dic₃	C₂³	1	2	yes	—
265	C₃×C₄×Dic₃	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	1	yes	characteristic
272	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
273	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
274	#3521	—	3	1	no	Sylow
275	C₂×C₃×#41	—	2	1	no	—
276	C₂×C₃×#41	—	3	1	no	—
277	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic
278	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic
279	C₂²×C₃×D₄	—	2	1	no	—
280	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic
281	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
282	C₂×#237	C₂²×C₃	1	1	yes	characteristic
283	C₃×C₄⋊Q₈	—	3	1	no	—
284	C₃×C₄⋊Q₈	—	3	1	no	—
285	C₃×#126	—	3	2	no	—
286	C₃×#126	—	3	1	no	—
287	C₃×#126	—	3	2	no	—
288	C₃×#126	—	3	2	no	—
289	C₃×#126	—	3	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	—	3	1	no	—
296	C₃×#126	—	3	2	no	—
297	C₃×#125	—	3	2	no	—
298	C₃×#125	—	3	2	no	—
299	C₃×#125	—	3	2	no	—
300	C₃×#125	—	3	1	no	—
301	C₃×#125	—	3	1	no	—
302	C₃×#125	—	3	1	no	—
303	C₃×#124	—	2	1	no	—
304	C₃×#124	—	3	1	no	—
305	C₃×#124	—	3	1	no	—
306	C₃×#124	—	3	2	no	—
307	C₃×#124	—	3	2	no	—
308	C₃×#124	C₂×D₃	1	1	yes	characteristic
309	C₃×#124	C₂²×C₃	1	1	yes	characteristic
310	C₃×#123	—	2	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	1	no	—
317	C₃×#123	—	3	2	no	—
318	C₃×#123	—	3	1	no	—
319	C₃×#123	—	3	2	no	—
320	C₃×#123	C₂×D₃	1	2	yes	—
321	C₃×#123	C₂²×C₃	1	2	yes	—
322	C₃×C₂²⋊Q₈	—	2	1	no	—
323	C₃×C₂²⋊Q₈	—	3	1	no	—
324	C₃×C₂²⋊Q₈	—	3	1	no	—
325	C₃×C₂²⋊Q₈	—	3	2	no	—
326	C₃×C₂²⋊Q₈	—	3	1	no	—
327	C₃×C₂²⋊Q₈	—	3	1	no	—
328	C₃×C₂²⋊Q₈	—	3	2	no	—
329	C₃×C₂²⋊Q₈	—	3	2	no	—
330	C₃×C₂²⋊Q₈	—	3	2	no	—
331	C₃×C₂²⋊Q₈	—	3	2	no	—
332	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
333	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
334	C₃×#121	—	2	2	no	—
335	C₃×#121	—	2	1	no	—
336	C₃×#121	—	3	1	no	—
337	C₃×#121	—	3	1	no	—
338	C₃×#121	—	3	2	no	—
339	C₃×#121	—	3	2	no	—
340	C₃×#121	—	3	2	no	—
341	C₃×#121	C₂×D₃	1	2	yes	—
342	C₃×#121	C₂×D₃	1	1	yes	characteristic
343	C₃×#121	C₂²×C₃	1	2	yes	—
344	C₃×#121	C₂²×C₃	1	1	yes	characteristic
345	C₃×#120	—	2	2	no	—
346	C₃×#120	—	3	2	no	—
347	C₃×#120	C₂×D₃	1	2	yes	—
348	C₃×#120	C₂²×C₃	1	2	yes	—
349	C₃×C₄×Q₈	—	3	1	no	—
350	C₃×C₄×Q₈	—	3	1	no	—
351	C₃×C₄×Q₈	—	3	1	no	—
352	C₃×C₄×Q₈	—	3	2	no	—
353	C₃×C₄×Q₈	—	3	1	no	—
354	C₃×C₄×Q₈	—	3	1	no	—
355	C₃×C₄×D₄	—	2	1	no	—
356	C₃×C₄×D₄	—	2	1	no	—
357	C₃×C₄×D₄	—	3	1	no	—
358	C₃×C₄×D₄	—	3	2	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	1	no	—
363	C₃×C₄×D₄	—	3	1	no	—
364	C₃×C₄×D₄	—	3	2	no	—
365	C₃×C₄×D₄	—	3	2	no	—
366	C₃×C₄×D₄	—	3	2	no	—
367	C₃×C₄×D₄	—	3	1	no	—
368	C₃×C₄×D₄	—	3	2	no	—
369	C₃×C₄×D₄	—	3	1	no	—
370	C₃×C₄×D₄	—	3	2	no	—
371	C₃×C₄×D₄	—	3	2	no	—
372	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
373	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
374	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
375	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
376	C₃×#117	—	3	1	no	—
377	C₃×#117	—	3	1	no	—
378	C₃×#117	—	3	1	no	—
379	C₃×#117	—	3	2	no	—
380	C₃×#117	—	3	1	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	C₂×C₃×C₄⋊C₄	—	3	2	no	—
386	C₂×C₃×C₄⋊C₄	—	3	2	no	—
387	C₂×C₃×C₄⋊C₄	—	3	2	no	—
388	C₂×C₃×C₄⋊C₄	—	3	1	no	—
389	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
390	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
391	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
392	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
393	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	—
394	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
395	C₂×C₃×C₄²	—	3	2	no	—
396	C₂×C₃×C₄²	—	3	1	no	—
397	#953	C₂²×C₃	1	2	yes	—
398	C₂×#217	C₂²×C₃	1	2	yes	—
399	C₂×#217	C₂²×C₃	1	2	yes	—
400	C₂×#217	C₂²×C₃	1	2	yes	—
401	#946	C₂²×C₃	1	1	yes	characteristic, complemented
402	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
403	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
404	#944	C₂²×C₃	1	1	yes	characteristic, complemented
405	#939	C₂²×C₃	1	2	yes	—
406	#939	C₂²×C₃	1	2	yes	complemented
407	#939	C₂²×C₃	1	2	yes	complemented
408	#938	C₂²×C₃	1	1	yes	characteristic
409	#938	C₂²×C₃	1	1	yes	characteristic
410	#936	C₂²×C₃	1	1	yes	characteristic
411	#936	C₂²×C₃	1	1	yes	characteristic
412	#936	C₂²×C₃	1	2	yes	complemented
413	#935	C₂²×C₃	1	2	yes	—
414	#935	C₂²×C₃	1	2	yes	—
415	#935	C₂²×C₃	1	2	yes	complemented
416	#935	C₂²×C₃	1	2	yes	complemented
417	D₄×Dic₃	C₂²×C₃	1	2	yes	—
418	D₄×Dic₃	C₂²×C₃	1	2	yes	—
419	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
420	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
421	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
422	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
423	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
424	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
425	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
426	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
427	#929	C₂²×C₃	1	2	yes	complemented
428	C₄×#67	C₂²×C₃	1	1	yes	characteristic
429	C₄×#67	C₂²×C₃	1	2	yes	complemented
430	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
431	#926	C₂²×C₃	1	1	yes	characteristic
432	#926	C₂²×C₃	1	1	yes	characteristic
433	#926	C₂²×C₃	1	2	yes	complemented
434	#926	C₂²×C₃	1	1	yes	characteristic, complemented
435	C₂×C₄⋊Dic₃	C₂²×C₃	1	2	yes	complemented
436	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
437	#924	C₂²×C₃	1	1	yes	characteristic
438	#924	C₂²×C₃	1	2	yes	complemented
439	#924	C₂²×C₃	1	1	yes	characteristic, complemented
440	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
441	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
442	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
443	#898	C₂²×C₃	1	2	yes	complemented
444	#897	C₂²×C₃	1	1	yes	characteristic, complemented
445	#892	C₂²×C₃	1	1	yes	characteristic, complemented
446	#890	C₂²×C₃	1	1	yes	characteristic, complemented
447	#890	C₂²×C₃	1	2	yes	complemented
448	#890	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	#887	C₂²×C₃	1	2	yes	complemented
453	#887	C₂²×C₃	1	1	yes	characteristic, complemented
454	#886	C₂²×C₃	1	2	yes	complemented
455	#885	C₂²×C₃	1	2	yes	—
456	#883	C₂²×C₃	1	1	yes	characteristic
457	#883	C₂²×C₃	1	2	yes	complemented
458	#883	C₂²×C₃	1	1	yes	characteristic, complemented
459	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
460	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
461	#879	C₂²×C₃	1	2	yes	—
462	#879	C₂²×C₃	1	1	yes	characteristic
463	#879	C₂²×C₃	1	2	yes	—
464	#879	C₂²×C₃	1	2	yes	—
465	#879	C₂²×C₃	1	2	yes	—
466	#879	C₂²×C₃	1	2	yes	complemented
467	#879	C₂²×C₃	1	2	yes	complemented
468	#879	C₂²×C₃	1	2	yes	complemented
469	#879	C₂²×C₃	1	2	yes	complemented
470	#879	C₂²×C₃	1	2	yes	complemented
471	#879	C₂²×C₃	1	1	yes	characteristic, complemented
472	#878	C₂²×C₃	1	2	yes	complemented
473	#878	C₂²×C₃	1	2	yes	complemented
474	#878	C₂²×C₃	1	2	yes	complemented
475	#878	C₂²×C₃	1	2	yes	complemented
476	#877	C₂²×C₃	1	2	yes	complemented
477	#877	C₂²×C₃	1	2	yes	complemented
478	#877	C₂²×C₃	1	2	yes	complemented
479	#877	C₂²×C₃	1	2	yes	complemented
480	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
481	#870	C₂²×C₃	1	1	yes	characteristic, complemented
482	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
483	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
484	C₂³×C₃²	—	2	4	no	—
485	C₂³×C₃²	—	4	2	no	—
486	C₂³×C₃²	—	4	2	no	—
487	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
488	C₂³×C₃²	C₂⁴	1	2	yes	—
489	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
490	C₂³×C₃²	C₂⁴	1	2	yes	—
491	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
492	C₃²×Q₈	—	2	2	no	—
493	C₃²×D₄	—	2	4	no	—
494	C₃²×D₄	—	2	4	no	—
495	C₃²×D₄	—	2	2	no	—
496	C₃²×D₄	—	4	1	no	—
497	C₃²×D₄	—	4	2	no	—
498	C₃²×D₄	#41	1	4	yes	—
499	C₂×C₃²×C₄	—	2	4	no	—
500	C₂×C₃²×C₄	—	2	2	no	—
501	C₂×C₃²×C₄	—	2	2	no	—
502	C₂×C₃²×C₄	—	4	2	no	—
503	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
504	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
505	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
510	C₃×#67	—	2	4	no	—
511	C₃×#67	—	4	1	no	—
512	C₃×#67	—	4	2	no	—
513	C₃×#67	—	4	1	no	—
514	C₂×C₃×Dic₃	—	2	4	no	—
515	C₂×C₃×Dic₃	—	4	2	no	—
516	C₂×C₃×Dic₃	—	4	2	no	—
517	C₂×C₃×Dic₃	—	4	2	no	—
518	C₂×C₃×Dic₃	—	4	2	no	—
519	C₂×C₃×Dic₃	—	4	2	no	—
520	C₂×C₃×Dic₃	—	4	2	no	—
521	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
522	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
523	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
524	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
527	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
528	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
529	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
530	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
532	C₃×C₄×D₃	—	2	2	no	—
533	C₃×C₄×D₃	—	4	1	no	—
534	C₃×C₄×D₃	—	4	1	no	—
535	C₃×Dic₆	—	2	2	no	—
536	C₃×Dic₆	—	4	2	no	—
537	C₃×Dic₆	—	4	1	no	—
538	#556	—	3	1	no	—
539	#556	—	3	1	no	—
540	#554	—	3	1	no	—
541	#553	—	3	2	no	—
542	#553	—	3	1	no	—
543	#552	—	3	2	no	—
544	#552	—	3	1	no	—
545	#551	—	3	2	no	—
546	#551	—	3	2	no	—
547	#547	—	3	1	no	—
548	#546	—	3	1	no	—
549	#546	C₃×D₃	1	1	yes	characteristic, complemented
550	#542	—	3	1	no	—
551	#541	—	3	1	no	—
552	#539	—	3	2	no	—
553	#538	—	3	2	no	—
554	#529	—	3	1	no	—
555	#529	—	3	2	no	—
556	#529	—	3	1	no	—
557	C₂×#126	—	3	2	no	—
558	#520	—	3	1	no	—
559	#518	—	3	1	no	—
560	C₄×#41	—	3	1	no	—
561	C₂⁴×C₃	—	2	2	no	—
562	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
563	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
564	C₃×#41	—	2	4	no	—
565	C₃×#41	—	2	4	no	—
566	C₃×#41	—	4	4	no	—
567	C₃×#41	—	6	4	no	—
568	C₂×C₃×Q₈	—	2	1	no	—
569	C₂×C₃×Q₈	—	3	1	no	—
570	C₂×C₃×Q₈	—	3	1	no	—
571	C₂×C₃×Q₈	—	3	2	no	—
572	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
573	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
574	C₂×C₃×D₄	—	2	4	no	—
575	C₂×C₃×D₄	—	2	4	no	—
576	C₂×C₃×D₄	—	2	1	no	—
577	C₂×C₃×D₄	—	2	1	no	—
578	C₂×C₃×D₄	—	2	2	no	—
579	C₂×C₃×D₄	—	2	2	no	—
580	C₂×C₃×D₄	—	2	1	no	—
581	C₂×C₃×D₄	—	2	2	no	—
582	C₂×C₃×D₄	—	3	2	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	—	4	4	no	—
587	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
588	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
589	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
590	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
591	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
592	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
593	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
594	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
595	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
599	C₂²×C₃×C₄	—	2	2	no	—
600	C₂²×C₃×C₄	—	2	1	no	—
601	C₂²×C₃×C₄	—	2	1	no	—
602	C₂²×C₃×C₄	—	2	2	no	—
603	C₂²×C₃×C₄	—	3	2	no	—
604	C₂²×C₃×C₄	—	3	2	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	2	no	—
609	C₂²×C₃×C₄	—	3	2	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	C₂²×D₃	1	2	yes	—
614	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
615	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
616	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
617	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
618	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
619	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
621	C₂×#67	C₂³×C₃	1	2	yes	—
622	C₂×#67	C₂³×C₃	1	2	yes	—
623	C₂×#67	C₂³×C₃	1	1	yes	characteristic
624	C₂×#67	C₂³×C₃	1	1	yes	characteristic
625	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
626	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
627	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
628	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
629	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
630	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
631	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
632	#237	—	2	4	no	—
633	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
634	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
635	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
636	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
637	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
638	C₂×Dic₆	C₂³×C₃	1	2	yes	—
639	C₃×C₄⋊C₄	—	2	1	no	—
640	C₃×C₄⋊C₄	—	2	1	no	—
641	C₃×C₄⋊C₄	—	2	2	no	—
642	C₃×C₄⋊C₄	—	3	1	no	—
643	C₃×C₄⋊C₄	—	3	1	no	—
644	C₃×C₄⋊C₄	—	3	2	no	—
645	C₃×C₄⋊C₄	—	3	2	no	—
646	C₃×C₄⋊C₄	—	3	2	no	—
647	C₃×C₄⋊C₄	—	3	2	no	—
648	C₃×C₄⋊C₄	—	3	2	no	—
649	C₃×C₄⋊C₄	—	3	2	no	—
650	C₃×C₄⋊C₄	—	3	1	no	—
651	C₃×C₄⋊C₄	—	3	2	no	—
652	C₃×C₄⋊C₄	—	3	2	no	—
653	C₃×C₄⋊C₄	—	3	2	no	—
654	C₃×C₄⋊C₄	—	3	2	no	—
655	C₃×C₄⋊C₄	—	3	2	no	—
656	C₃×C₄⋊C₄	—	3	1	no	—
657	C₃×C₄⋊C₄	—	3	1	no	—
658	C₃×C₄⋊C₄	—	3	2	no	—
659	C₃×C₄⋊C₄	—	3	1	no	—
660	C₃×C₄⋊C₄	—	3	1	no	—
661	C₃×C₄⋊C₄	—	3	2	no	—
662	C₃×C₄⋊C₄	—	3	2	no	—
663	C₃×C₄⋊C₄	—	3	1	no	—
664	C₃×C₄⋊C₄	—	3	1	no	—
665	C₃×C₄⋊C₄	—	3	1	no	—
666	C₃×C₄⋊C₄	—	3	1	no	—
667	C₃×C₄⋊C₄	—	3	2	no	—
668	C₃×C₄⋊C₄	—	3	1	no	—
669	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
670	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
671	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
672	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
673	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
674	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
675	C₃×C₂²⋊C₄	—	2	1	no	—
676	C₃×C₂²⋊C₄	—	2	2	no	—
677	C₃×C₂²⋊C₄	—	2	2	no	—
678	C₃×C₂²⋊C₄	—	2	2	no	—
679	C₃×C₂²⋊C₄	—	2	2	no	—
680	C₃×C₂²⋊C₄	—	2	1	no	—
681	C₃×C₂²⋊C₄	—	2	2	no	—
682	C₃×C₂²⋊C₄	—	3	1	no	—
683	C₃×C₂²⋊C₄	—	3	1	no	—
684	C₃×C₂²⋊C₄	—	3	2	no	—
685	C₃×C₂²⋊C₄	—	3	1	no	—
686	C₃×C₂²⋊C₄	—	3	2	no	—
687	C₃×C₂²⋊C₄	—	3	2	no	—
688	C₃×C₂²⋊C₄	—	3	2	no	—
689	C₃×C₂²⋊C₄	—	3	2	no	—
690	C₃×C₂²⋊C₄	—	3	2	no	—
691	C₃×C₂²⋊C₄	—	3	2	no	—
692	C₃×C₂²⋊C₄	—	3	2	no	—
693	C₃×C₂²⋊C₄	—	3	2	no	—
694	C₃×C₂²⋊C₄	—	3	1	no	—
695	C₃×C₂²⋊C₄	—	3	1	no	—
696	C₃×C₂²⋊C₄	—	3	2	no	—
697	C₃×C₂²⋊C₄	—	3	2	no	—
698	C₃×C₂²⋊C₄	—	3	1	no	—
699	C₃×C₂²⋊C₄	—	3	2	no	—
700	C₃×C₂²⋊C₄	—	3	1	no	—
701	C₃×C₂²⋊C₄	—	3	2	no	—
702	C₃×C₂²⋊C₄	—	3	1	no	—
703	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
704	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
705	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
706	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
707	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
708	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
709	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
710	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
711	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
712	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
713	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
714	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
715	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
716	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
717	C₃×C₄²	—	2	1	no	—
718	C₃×C₄²	—	3	1	no	—
719	C₃×C₄²	—	3	1	no	—
720	C₃×C₄²	—	3	1	no	—
721	C₃×C₄²	—	3	2	no	—
722	C₃×C₄²	—	3	2	no	—
723	C₃×C₄²	—	3	2	no	—
724	C₃×C₄²	—	3	2	no	—
725	C₃×C₄²	—	3	2	no	—
726	C₃×C₄²	—	3	2	no	—
727	C₃×C₄²	—	3	1	no	—
728	C₃×C₄²	—	3	1	no	—
729	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
730	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
731	#217	C₂³×C₃	1	2	yes	—
732	#217	C₂³×C₃	1	2	yes	—
733	#217	C₂³×C₃	1	2	yes	—
734	#217	C₂³×C₃	1	2	yes	—
735	#217	C₂³×C₃	1	2	yes	—
736	#217	C₂³×C₃	1	2	yes	—
737	#217	C₂³×C₃	1	2	yes	—
738	#217	C₂³×C₃	1	2	yes	—
739	#217	C₂³×C₃	1	1	yes	characteristic
740	#217	C₂³×C₃	1	1	yes	characteristic
741	#217	C₂³×C₃	1	1	yes	characteristic
742	#217	C₂³×C₃	1	2	yes	—
743	#217	C₂³×C₃	1	2	yes	—
744	#217	C₂³×C₃	1	2	yes	—
745	#217	C₂³×C₃	1	1	yes	characteristic
746	#217	C₂³×C₃	1	1	yes	characteristic
747	#217	C₂³×C₃	1	1	yes	characteristic
748	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
749	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
750	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
751	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
752	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
753	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
754	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
755	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
756	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
757	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
758	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
759	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
760	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
761	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
762	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
763	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
764	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
766	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
768	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
769	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
770	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
771	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
772	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
773	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
774	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
775	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
776	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
777	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
778	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
779	C₄×Dic₃	C₂³×C₃	1	2	yes	—
780	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
781	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
782	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
783	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
784	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
785	C₄×Dic₃	C₂³×C₃	1	2	yes	—
786	C₄×Dic₃	C₂³×C₃	1	2	yes	—
787	C₄×Dic₃	C₂³×C₃	1	2	yes	—
788	C₄×Dic₃	C₂³×C₃	1	2	yes	—
789	C₄×Dic₃	C₂³×C₃	1	2	yes	—
790	C₂²×C₃²	—	2	1	no	—
791	C₂²×C₃²	—	2	2	no	—
792	C₂²×C₃²	—	2	2	no	—
793	C₂²×C₃²	—	2	1	no	—
794	C₂²×C₃²	—	2	1	no	—
795	C₂²×C₃²	—	2	2	no	—
796	C₂²×C₃²	—	2	1	no	—
797	C₂²×C₃²	—	2	2	no	—
798	C₂²×C₃²	—	2	2	no	—
799	C₂²×C₃²	—	2	1	no	—
800	C₂²×C₃²	—	2	1	no	—
801	C₂²×C₃²	—	8	4	no	—
802	C₂²×C₃²	C₂×#41	1	4	yes	—
803	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
804	C₂×C₃×D₃	—	2	1	no	—
805	C₂×C₃×D₃	—	2	1	no	—
806	C₂×C₃×D₃	—	2	1	no	—
807	C₃²×C₄	—	2	1	no	—
808	C₃²×C₄	—	2	1	no	—
809	C₃²×C₄	—	2	2	no	—
810	C₃²×C₄	—	2	1	no	—
811	C₃²×C₄	—	2	2	no	—
812	C₃²×C₄	—	2	1	no	—
813	C₃²×C₄	C₂×#41	1	2	yes	—
814	C₃×Dic₃	—	2	2	no	—
815	C₃×Dic₃	—	2	1	no	—
816	C₃×Dic₃	—	2	1	no	—
817	C₃×Dic₃	—	2	1	no	—
818	C₃×Dic₃	—	2	1	no	—
819	C₃×Dic₃	—	2	2	no	—
820	C₃×Dic₃	—	2	1	no	—
821	C₃×Dic₃	—	2	1	no	—
822	C₃×Dic₃	—	2	2	no	—
823	C₃×Dic₃	—	2	2	no	—
824	C₃×Dic₃	—	2	1	no	—
825	C₂×#41	—	3	1	no	—
826	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic
827	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic
828	C₄⋊Q₈	—	3	1	no	—
829	C₄⋊Q₈	—	3	1	no	—
830	#126	—	3	2	no	—
831	#126	—	3	1	no	—
832	#126	—	3	2	no	—
833	#126	—	3	2	no	—
834	#126	—	3	2	no	—
835	#126	—	3	2	no	—
836	#126	—	3	2	no	—
837	#126	—	3	2	no	—
838	#126	—	3	2	no	—
839	#126	—	3	1	no	—
840	#126	—	3	2	no	—
841	#126	—	3	2	no	—
842	#125	—	3	2	no	—
843	#125	—	3	1	no	—
844	#125	—	3	2	no	—
845	#125	—	3	2	no	—
846	#125	—	3	1	no	—
847	#125	—	3	1	no	—
848	#124	—	3	2	no	—
849	#124	—	3	1	no	—
850	#124	—	3	1	no	—
851	#124	—	3	2	no	—
852	#124	C₂×C₃×D₃	1	1	yes	characteristic
853	#123	—	3	2	no	—
854	#123	—	3	2	no	—
855	#123	—	3	2	no	—
856	#123	—	3	2	no	—
857	#123	—	3	2	no	—
858	#123	—	3	2	no	—
859	#123	—	3	1	no	—
860	#123	—	3	1	no	—
861	#123	—	3	2	no	—
862	#123	C₂×C₃×D₃	1	2	yes	—
863	C₂²⋊Q₈	—	3	1	no	—
864	C₂²⋊Q₈	—	3	2	no	—
865	C₂²⋊Q₈	—	3	1	no	—
866	C₂²⋊Q₈	—	3	1	no	—
867	C₂²⋊Q₈	—	3	1	no	—
868	C₂²⋊Q₈	—	3	2	no	—
869	C₂²⋊Q₈	—	3	2	no	—
870	C₂²⋊Q₈	—	3	2	no	—
871	C₂²⋊Q₈	—	3	2	no	—
872	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic
873	#121	—	3	1	no	—
874	#121	—	3	1	no	—
875	#121	—	3	2	no	—
876	#121	—	3	2	no	—
877	#121	—	3	2	no	—
878	#121	C₂×C₃×D₃	1	2	yes	—
879	#121	C₂×C₃×D₃	1	1	yes	characteristic
880	#120	—	3	2	no	—
881	#120	C₂×C₃×D₃	1	2	yes	—
882	C₄×Q₈	—	3	1	no	—
883	C₄×Q₈	—	3	1	no	—
884	C₄×Q₈	—	3	1	no	—
885	C₄×Q₈	—	3	2	no	—
886	C₄×Q₈	—	3	1	no	—
887	C₄×Q₈	—	3	1	no	—
888	C₄×D₄	—	3	1	no	—
889	C₄×D₄	—	3	2	no	—
890	C₄×D₄	—	3	1	no	—
891	C₄×D₄	—	3	1	no	—
892	C₄×D₄	—	3	2	no	—
893	C₄×D₄	—	3	1	no	—
894	C₄×D₄	—	3	2	no	—
895	C₄×D₄	—	3	1	no	—
896	C₄×D₄	—	3	2	no	—
897	C₄×D₄	—	3	2	no	—
898	C₄×D₄	—	3	2	no	—
899	C₄×D₄	—	3	1	no	—
900	C₄×D₄	—	3	1	no	—
901	C₄×D₄	—	3	2	no	—
902	C₄×D₄	—	3	2	no	—
903	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
904	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
905	#117	—	3	1	no	—
906	#117	—	3	1	no	—
907	#117	—	3	1	no	—
908	#117	—	3	2	no	—
909	#117	—	3	1	no	—
910	#117	—	3	2	no	—
911	#117	—	3	2	no	—
912	#117	—	3	2	no	—
913	#117	—	3	2	no	—
914	C₂×C₄⋊C₄	—	3	2	no	—
915	C₂×C₄⋊C₄	—	3	1	no	—
916	C₂×C₄⋊C₄	—	3	2	no	—
917	C₂×C₄⋊C₄	—	3	2	no	—
918	C₂×C₂²⋊C₄	—	3	2	no	—
919	C₂×C₂²⋊C₄	—	3	2	no	—
920	C₂×C₂²⋊C₄	—	3	2	no	—
921	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	—
922	C₂×C₄²	—	3	2	no	—
923	C₂×C₄²	—	3	1	no	—
924	C₂³×C₃	—	2	4	no	—
925	C₂³×C₃	—	2	4	no	—
926	C₂³×C₃	—	2	1	no	—
927	C₂³×C₃	—	2	2	no	—
928	C₂³×C₃	—	2	2	no	—
929	C₂³×C₃	—	2	1	no	—
930	C₂³×C₃	—	3	1	no	—
931	C₂³×C₃	—	4	4	no	—
932	C₂³×C₃	—	4	2	no	—
933	C₂³×C₃	—	4	2	no	—
934	C₂³×C₃	—	4	2	no	—
935	C₂³×C₃	—	4	2	no	—
936	C₂³×C₃	—	4	4	no	—
937	C₂³×C₃	—	8	2	no	—
938	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
939	C₂³×C₃	C₂³×D₃	1	2	yes	—
940	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
941	C₂³×C₃	C₂³×D₃	1	2	yes	—
942	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
943	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
944	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
945	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
946	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
947	C₃×Q₈	—	2	2	no	—
948	C₃×Q₈	—	2	2	no	—
949	C₃×Q₈	—	4	2	no	—
950	C₃×Q₈	—	6	2	no	—
951	C₃×Q₈	—	12	1	no	—
952	C₃×Q₈	—	12	2	no	—
953	C₃×D₄	—	2	4	no	—
954	C₃×D₄	—	2	4	no	—
955	C₃×D₄	—	2	4	no	—
956	C₃×D₄	—	2	4	no	—
957	C₃×D₄	—	2	2	no	—
958	C₃×D₄	—	2	2	no	—
959	C₃×D₄	—	2	4	no	—
960	C₃×D₄	—	4	2	no	—
961	C₃×D₄	—	4	4	no	—
962	C₃×D₄	—	4	4	no	—
963	C₃×D₄	—	4	1	no	—
964	C₃×D₄	—	4	2	no	—
965	C₃×D₄	—	4	1	no	—
966	C₃×D₄	—	4	2	no	—
967	C₃×D₄	—	4	2	no	—
968	C₃×D₄	—	6	4	no	—
969	C₃×D₄	—	8	2	no	—
970	C₃×D₄	—	12	2	no	—
971	C₃×D₄	—	12	1	no	—
972	C₃×D₄	—	12	1	no	—
973	C₃×D₄	#237	1	4	yes	—
974	C₃×D₄	C₃×#41	1	4	yes	—
975	C₂×C₃×C₄	—	2	4	no	—
976	C₂×C₃×C₄	—	2	4	no	—
977	C₂×C₃×C₄	—	2	2	no	—
978	C₂×C₃×C₄	—	2	2	no	—
979	C₂×C₃×C₄	—	2	2	no	—
980	C₂×C₃×C₄	—	2	2	no	—
981	C₂×C₃×C₄	—	2	1	no	—
982	C₂×C₃×C₄	—	2	1	no	—
983	C₂×C₃×C₄	—	2	1	no	—
984	C₂×C₃×C₄	—	2	2	no	—
985	C₂×C₃×C₄	—	2	1	no	—
986	C₂×C₃×C₄	—	2	2	no	—
987	C₂×C₃×C₄	—	2	1	no	—
988	C₂×C₃×C₄	—	3	1	no	—
989	C₂×C₃×C₄	—	3	2	no	—
990	C₂×C₃×C₄	—	3	1	no	—
991	C₂×C₃×C₄	—	3	1	no	—
992	C₂×C₃×C₄	—	3	1	no	—
993	C₂×C₃×C₄	—	3	2	no	—
994	C₂×C₃×C₄	—	3	1	no	—
995	C₂×C₃×C₄	—	3	1	no	—
996	C₂×C₃×C₄	—	3	2	no	—
997	C₂×C₃×C₄	—	3	2	no	—
998	C₂×C₃×C₄	—	3	1	no	—
999	C₂×C₃×C₄	—	4	2	no	—
1000	C₂×C₃×C₄	—	4	2	no	—
1001	C₂×C₃×C₄	—	4	4	no	—
1002	C₂×C₃×C₄	—	4	2	no	—
1003	C₂×C₃×C₄	—	4	2	no	—
1004	C₂×C₃×C₄	—	6	4	no	—
1005	C₂×C₃×C₄	—	6	2	no	—
1006	C₂×C₃×C₄	—	8	2	no	—
1007	C₂×C₃×C₄	—	12	1	no	—
1008	C₂×C₃×C₄	—	12	1	no	—
1009	C₂×C₃×C₄	—	12	2	no	—
1010	C₂×C₃×C₄	—	12	2	no	—
1011	C₂×C₃×C₄	—	12	2	no	—
1012	C₂×C₃×C₄	—	12	2	no	—
1013	C₂×C₃×C₄	—	12	2	no	—
1014	C₂×C₃×C₄	—	12	2	no	—
1015	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1016	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1017	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1018	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1019	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1020	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1021	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1022	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1023	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1024	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1025	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1026	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1027	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1028	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1029	#67	—	2	4	no	—
1030	#67	—	4	1	no	—
1031	#67	—	4	2	no	—
1032	#67	—	4	1	no	—
1033	C₂×Dic₃	—	2	4	no	—
1034	C₂×Dic₃	—	4	2	no	—
1035	C₂×Dic₃	—	4	2	no	—
1036	C₂×Dic₃	—	4	2	no	—
1037	C₂×Dic₃	—	4	2	no	—
1038	C₂×Dic₃	—	4	2	no	—
1039	C₂×Dic₃	—	4	2	no	—
1040	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1041	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1042	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1043	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1044	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1045	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1046	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1048	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1049	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1050	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1051	C₄×D₃	—	2	2	no	—
1052	C₄×D₃	—	4	1	no	—
1053	C₄×D₃	—	4	1	no	—
1054	Dic₆	—	2	2	no	—
1055	Dic₆	—	4	2	no	—
1056	Dic₆	—	4	1	no	—
1057	C₂×C₃²	—	2	4	no	—
1058	C₂×C₃²	—	4	1	no	—
1059	C₂×C₃²	—	4	1	no	—
1060	C₂×C₃²	—	4	2	no	—
1061	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1062	C₂×C₃²	#585	1	1	yes	characteristic
1063	C₂×C₃²	#585	1	1	yes	characteristic
1064	C₃×D₃	—	4	1	no	—
1065	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1066	#41	—	2	4	no	—
1067	#41	—	6	4	no	—
1068	C₂×Q₈	—	3	1	no	—
1069	C₂×Q₈	—	3	1	no	—
1070	C₂×Q₈	—	3	2	no	—
1071	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1072	C₂×D₄	—	2	4	no	—
1073	C₂×D₄	—	3	2	no	—
1074	C₂×D₄	—	3	1	no	—
1075	C₂×D₄	—	3	2	no	—
1076	C₂×D₄	—	3	1	no	—
1077	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1078	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1079	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1080	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1081	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1082	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1083	C₂²×C₄	—	3	2	no	—
1084	C₂²×C₄	—	3	2	no	—
1085	C₂²×C₄	—	3	2	no	—
1086	C₂²×C₄	—	3	2	no	—
1087	C₂²×C₄	—	3	2	no	—
1088	C₂²×C₄	—	3	2	no	—
1089	C₂²×C₄	—	3	2	no	—
1090	C₂²×C₄	—	3	1	no	—
1091	C₂²×C₄	—	3	1	no	—
1092	C₂²×C₄	—	3	1	no	—
1093	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1094	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1095	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1096	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1097	C₄⋊C₄	—	3	1	no	—
1098	C₄⋊C₄	—	3	2	no	—
1099	C₄⋊C₄	—	3	1	no	—
1100	C₄⋊C₄	—	3	1	no	—
1101	C₄⋊C₄	—	3	1	no	—
1102	C₄⋊C₄	—	3	2	no	—
1103	C₄⋊C₄	—	3	2	no	—
1104	C₄⋊C₄	—	3	1	no	—
1105	C₄⋊C₄	—	3	2	no	—
1106	C₄⋊C₄	—	3	2	no	—
1107	C₄⋊C₄	—	3	2	no	—
1108	C₄⋊C₄	—	3	2	no	—
1109	C₄⋊C₄	—	3	2	no	—
1110	C₄⋊C₄	—	3	2	no	—
1111	C₄⋊C₄	—	3	1	no	—
1112	C₄⋊C₄	—	3	1	no	—
1113	C₄⋊C₄	—	3	1	no	—
1114	C₄⋊C₄	—	3	1	no	—
1115	C₄⋊C₄	—	3	1	no	—
1116	C₄⋊C₄	—	3	2	no	—
1117	C₄⋊C₄	—	3	2	no	—
1118	C₄⋊C₄	—	3	2	no	—
1119	C₄⋊C₄	—	3	2	no	—
1120	C₄⋊C₄	—	3	2	no	—
1121	C₄⋊C₄	—	3	1	no	—
1122	C₄⋊C₄	—	3	2	no	—
1123	C₄⋊C₄	—	3	1	no	—
1124	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1125	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1127	C₂²⋊C₄	—	3	1	no	—
1128	C₂²⋊C₄	—	3	2	no	—
1129	C₂²⋊C₄	—	3	1	no	—
1130	C₂²⋊C₄	—	3	1	no	—
1131	C₂²⋊C₄	—	3	2	no	—
1132	C₂²⋊C₄	—	3	2	no	—
1133	C₂²⋊C₄	—	3	2	no	—
1134	C₂²⋊C₄	—	3	2	no	—
1135	C₂²⋊C₄	—	3	2	no	—
1136	C₂²⋊C₄	—	3	2	no	—
1137	C₂²⋊C₄	—	3	2	no	—
1138	C₂²⋊C₄	—	3	2	no	—
1139	C₂²⋊C₄	—	3	1	no	—
1140	C₂²⋊C₄	—	3	1	no	—
1141	C₂²⋊C₄	—	3	2	no	—
1142	C₂²⋊C₄	—	3	2	no	—
1143	C₂²⋊C₄	—	3	1	no	—
1144	C₂²⋊C₄	—	3	2	no	—
1145	C₂²⋊C₄	—	3	1	no	—
1146	C₂²⋊C₄	—	3	2	no	—
1147	C₂²⋊C₄	—	3	1	no	—
1148	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1149	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1150	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1151	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1152	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1153	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1154	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1155	C₄²	—	3	1	no	—
1156	C₄²	—	3	1	no	—
1157	C₄²	—	3	1	no	—
1158	C₄²	—	3	2	no	—
1159	C₄²	—	3	2	no	—
1160	C₄²	—	3	2	no	—
1161	C₄²	—	3	2	no	—
1162	C₄²	—	3	2	no	—
1163	C₄²	—	3	2	no	—
1164	C₄²	—	3	1	no	—
1165	C₄²	—	3	1	no	—
1166	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1167	C₂²×C₃	—	2	2	no	—
1168	C₂²×C₃	—	2	2	no	—
1169	C₂²×C₃	—	2	2	no	—
1170	C₂²×C₃	—	2	2	no	—
1171	C₂²×C₃	—	2	2	no	—
1172	C₂²×C₃	—	2	1	no	—
1173	C₂²×C₃	—	2	1	no	—
1174	C₂²×C₃	—	2	2	no	—
1175	C₂²×C₃	—	2	1	no	—
1176	C₂²×C₃	—	2	2	no	—
1177	C₂²×C₃	—	2	1	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	—	2	1	no	—
1180	C₂²×C₃	—	2	1	no	—
1181	C₂²×C₃	—	2	1	no	—
1182	C₂²×C₃	—	2	1	no	—
1183	C₂²×C₃	—	2	2	no	—
1184	C₂²×C₃	—	2	1	no	—
1185	C₂²×C₃	—	2	2	no	—
1186	C₂²×C₃	—	2	2	no	—
1187	C₂²×C₃	—	2	1	no	—
1188	C₂²×C₃	—	2	1	no	—
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	4	no	—
1191	C₂²×C₃	—	2	1	no	—
1192	C₂²×C₃	—	4	1	no	—
1193	C₂²×C₃	—	4	2	no	—
1194	C₂²×C₃	—	4	2	no	—
1195	C₂²×C₃	—	4	1	no	—
1196	C₂²×C₃	—	4	1	no	—
1197	C₂²×C₃	—	4	2	no	—
1198	C₂²×C₃	—	4	1	no	—
1199	C₂²×C₃	—	4	1	no	—
1200	C₂²×C₃	—	4	2	no	—
1201	C₂²×C₃	—	4	2	no	—
1202	C₂²×C₃	—	6	1	no	—
1203	C₂²×C₃	—	6	1	no	—
1204	C₂²×C₃	—	6	1	no	—
1205	C₂²×C₃	—	8	4	no	—
1206	C₂²×C₃	—	8	4	no	—
1207	C₂²×C₃	—	8	8	no	—
1208	C₂²×C₃	C₂×#237	1	4	yes	—
1209	C₂²×C₃	C₂×C₃×#41	1	4	yes	—
1210	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1211	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1212	C₂×D₃	—	2	1	no	—
1213	C₂×D₃	—	2	1	no	—
1214	C₂×D₃	—	2	1	no	—
1215	C₃×C₄	—	2	1	no	—
1216	C₃×C₄	—	2	1	no	—
1217	C₃×C₄	—	2	2	no	—
1218	C₃×C₄	—	2	1	no	—
1219	C₃×C₄	—	2	1	no	—
1220	C₃×C₄	—	2	2	no	—
1221	C₃×C₄	—	2	1	no	—
1222	C₃×C₄	—	2	1	no	—
1223	C₃×C₄	—	2	2	no	—
1224	C₃×C₄	—	2	1	no	—
1225	C₃×C₄	—	2	2	no	—
1226	C₃×C₄	—	2	1	no	—
1227	C₃×C₄	—	2	2	no	—
1228	C₃×C₄	—	4	1	no	—
1229	C₃×C₄	—	4	1	no	—
1230	C₃×C₄	—	4	2	no	—
1231	C₃×C₄	—	4	1	no	—
1232	C₃×C₄	—	4	2	no	—
1233	C₃×C₄	—	4	1	no	—
1234	C₃×C₄	—	6	1	no	—
1235	C₃×C₄	—	6	2	no	—
1236	C₃×C₄	—	6	1	no	—
1237	C₃×C₄	—	6	2	no	—
1238	C₃×C₄	—	6	2	no	—
1239	C₃×C₄	—	6	1	no	—
1240	C₃×C₄	—	6	1	no	—
1241	C₃×C₄	—	6	1	no	—
1242	C₃×C₄	—	6	1	no	—
1243	C₃×C₄	—	6	2	no	—
1244	C₃×C₄	—	6	1	no	—
1245	C₃×C₄	C₂×#237	1	2	yes	—
1246	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1247	Dic₃	—	2	2	no	—
1248	Dic₃	—	2	1	no	—
1249	Dic₃	—	2	1	no	—
1250	Dic₃	—	2	1	no	—
1251	Dic₃	—	2	1	no	—
1252	Dic₃	—	2	2	no	—
1253	Dic₃	—	2	1	no	—
1254	Dic₃	—	2	1	no	—
1255	Dic₃	—	2	2	no	—
1256	Dic₃	—	2	2	no	—
1257	Dic₃	—	2	1	no	—
1258	C₃²	#3521	1	1	yes	characteristic, complemented, Sylow
1259	C₂³	—	2	4	no	—
1260	C₂³	—	3	1	no	—
1261	C₂³	—	4	2	no	—
1262	C₂³	—	4	2	no	—
1263	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1264	C₂³	C₂³×C₃×D₃	1	2	yes	—
1265	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1266	C₂³	C₂³×C₃×D₃	1	2	yes	—
1267	Q₈	—	2	2	no	—
1268	Q₈	—	6	2	no	—
1269	Q₈	—	12	1	no	—
1270	Q₈	—	12	2	no	—
1271	D₄	—	2	4	no	—
1272	D₄	—	2	4	no	—
1273	D₄	—	2	2	no	—
1274	D₄	—	4	1	no	—
1275	D₄	—	4	2	no	—
1276	D₄	—	6	4	no	—
1277	D₄	—	12	2	no	—
1278	D₄	—	12	1	no	—
1279	D₄	—	12	1	no	—
1280	D₄	C₃×#237	1	4	yes	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	3	1	no	—
1285	C₂×C₄	—	3	1	no	—
1286	C₂×C₄	—	3	2	no	—
1287	C₂×C₄	—	3	1	no	—
1288	C₂×C₄	—	3	1	no	—
1289	C₂×C₄	—	3	2	no	—
1290	C₂×C₄	—	3	1	no	—
1291	C₂×C₄	—	3	1	no	—
1292	C₂×C₄	—	3	2	no	—
1293	C₂×C₄	—	3	2	no	—
1294	C₂×C₄	—	3	1	no	—
1295	C₂×C₄	—	4	2	no	—
1296	C₂×C₄	—	6	4	no	—
1297	C₂×C₄	—	6	2	no	—
1298	C₂×C₄	—	12	1	no	—
1299	C₂×C₄	—	12	1	no	—
1300	C₂×C₄	—	12	2	no	—
1301	C₂×C₄	—	12	2	no	—
1302	C₂×C₄	—	12	2	no	—
1303	C₂×C₄	—	12	2	no	—
1304	C₂×C₄	—	12	2	no	—
1305	C₂×C₄	—	12	2	no	—
1306	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1307	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1308	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1309	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1310	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1311	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1312	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1313	C₂×C₃	—	2	4	no	—
1314	C₂×C₃	—	2	4	no	—
1315	C₂×C₃	—	2	1	no	—
1316	C₂×C₃	—	2	1	no	—
1317	C₂×C₃	—	2	1	no	—
1318	C₂×C₃	—	4	4	no	—
1319	C₂×C₃	—	4	2	no	—
1320	C₂×C₃	—	4	1	no	—
1321	C₂×C₃	—	4	2	no	—
1322	C₂×C₃	—	4	1	no	—
1323	C₂×C₃	—	4	1	no	—
1324	C₂×C₃	—	4	2	no	—
1325	C₂×C₃	—	4	1	no	—
1326	C₂×C₃	—	8	2	no	—
1327	C₂×C₃	—	8	1	no	—
1328	C₂×C₃	—	12	1	no	—
1329	C₂×C₃	C₂²×#237	1	1	yes	characteristic
1330	C₂×C₃	#5964	1	1	yes	characteristic
1331	C₂×C₃	#5966	1	1	yes	characteristic
1332	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1333	C₂×C₃	C₃×#585	1	1	yes	characteristic
1334	C₂×C₃	C₃×#585	1	1	yes	characteristic
1335	D₃	—	4	1	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	2	no	—
1338	C₂²	—	2	1	no	—
1339	C₂²	—	2	1	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	1	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	1	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	1	no	—
1346	C₂²	—	2	1	no	—
1347	C₂²	—	6	1	no	—
1348	C₂²	—	6	1	no	—
1349	C₂²	—	6	1	no	—
1350	C₂²	—	8	4	no	—
1351	C₂²	C₂×C₃×#237	1	4	yes	—
1352	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1353	C₄	—	2	1	no	—
1354	C₄	—	2	1	no	—
1355	C₄	—	2	2	no	—
1356	C₄	—	2	1	no	—
1357	C₄	—	2	1	no	—
1358	C₄	—	2	2	no	—
1359	C₄	—	6	1	no	—
1360	C₄	—	6	2	no	—
1361	C₄	—	6	1	no	—
1362	C₄	—	6	2	no	—
1363	C₄	—	6	2	no	—
1364	C₄	—	6	1	no	—
1365	C₄	—	6	1	no	—
1366	C₄	—	6	1	no	—
1367	C₄	—	6	1	no	—
1368	C₄	—	6	2	no	—
1369	C₄	—	6	1	no	—
1370	C₄	C₂×C₃×#237	1	2	yes	—
1371	C₃	—	2	1	no	—
1372	C₃	#86643	1	1	yes	characteristic, direct product factor
1373	C₃	C₃×#3521	1	1	yes	characteristic, complemented
1374	C₂	—	2	4	no	—
1375	C₂	—	4	1	no	—
1376	C₂	—	4	2	no	—
1377	C₂	—	4	1	no	—
1378	C₂	—	12	1	no	—
1379	C₂	C₂²×C₃×#237	1	1	yes	characteristic
1380	C₂	C₃×#5964	1	1	yes	characteristic
1381	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×#546	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#546	D₃
hypocenter	C₃	C₃×#3521
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#546

Complements

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

N	H ≅ G/N	type
1. C₃²×#546	C₂	semidirect
2. C₃×#5827	C₂	semidirect
3. C₃×#5824	C₂	semidirect
4. C₃×#5806	C₂	semidirect
5. C₃×#5798	C₂	semidirect
6. C₃×#5680	C₂	semidirect
7. C₃×#5671	C₂	semidirect
8. C₃×#5665	C₂	semidirect
9. C₃×#5650	C₂	semidirect
10. C₃×#5641	C₂	semidirect
11. C₃×#5625	C₂	semidirect
12. C₃×#5618	C₂	semidirect
13. C₃×#5603	C₂	semidirect
14. C₃×#5601	C₂	semidirect
15. C₃×#5600	C₂	semidirect
16. C₃×#5593	C₂	semidirect
17. C₃×#5587	C₂	semidirect
18. C₃×#5557	C₂	semidirect
19. C₃×#5541	C₂	semidirect
20. C₃×#5539	C₂	semidirect
21. C₃×C₄×#237	C₂	semidirect
22. C₃×#5495	C₂	semidirect
23. C₂×C₃×#879	C₂	semidirect
25. #86643	C₃	direct (N × H)
42. C₃×#946	C₂²	semidirect
43. C₃×Q₈×Dic₃	C₂²	semidirect
44. C₃×Q₈×Dic₃	C₂²	semidirect
45. C₃×#944	C₂²	semidirect
47. C₃×#939	C₂²	semidirect
48. C₃×#939	C₂²	semidirect
53. C₃×#936	C₂²	semidirect
56. C₃×#935	C₂²	semidirect
57. C₃×#935	C₂²	semidirect
65. C₃×D₄×Dic₃	C₂²	semidirect
66. C₃×D₄×Dic₃	C₂²	semidirect
67. C₃×D₄×Dic₃	C₂²	semidirect
68. C₃×#929	C₂²	semidirect
70. C₃×C₄×#67	C₂²	semidirect
71. C₃×C₄×#67	C₂²	semidirect
74. C₃×#926	C₂²	semidirect
75. C₃×#926	C₂²	semidirect
76. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
77. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
79. C₃×#924	C₂²	semidirect
80. C₃×#924	C₂²	semidirect
81. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
82. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
83. C₂×C₃×C₄×Dic₃	C₂²	semidirect
84. C₃×#898	C₂²	semidirect
85. C₃×#897	C₂²	semidirect
86. C₃×#892	C₂²	semidirect
87. C₃×#890	C₂²	semidirect
88. C₃×#890	C₂²	semidirect
89. C₃×#890	C₂²	semidirect
90. C₃×#889	C₂²	semidirect
91. C₃×#889	C₂²	semidirect
92. C₃×#888	C₂²	semidirect
93. C₃×#887	C₂²	semidirect
94. C₃×#887	C₂²	semidirect
95. C₃×#886	C₂²	semidirect
98. C₃×#883	C₂²	semidirect
99. C₃×#883	C₂²	semidirect
100. C₃×#67⋊C₄	C₂²	semidirect
101. C₃×#67⋊C₄	C₂²	semidirect
107. C₃×#879	C₂²	semidirect
108. C₃×#879	C₂²	semidirect
109. C₃×#879	C₂²	semidirect
110. C₃×#879	C₂²	semidirect
111. C₃×#879	C₂²	semidirect
112. C₃×#879	C₂²	semidirect
113. C₃×#878	C₂²	semidirect
114. C₃×#878	C₂²	semidirect
115. C₃×#878	C₂²	semidirect
116. C₃×#878	C₂²	semidirect
117. C₃×#877	C₂²	semidirect
118. C₃×#877	C₂²	semidirect
119. C₃×#877	C₂²	semidirect
120. C₃×#877	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
137. C₃×#546	D₃	semidirect
138. C₃×#546	C₂×C₃	semidirect
150. #5827	C₂×C₃	semidirect
151. #5824	C₂×C₃	semidirect
152. #5806	C₂×C₃	semidirect
153. #5798	C₂×C₃	semidirect
154. #5680	C₂×C₃	semidirect
155. #5671	C₂×C₃	semidirect
156. #5665	C₂×C₃	semidirect
157. #5650	C₂×C₃	semidirect
158. #5641	C₂×C₃	semidirect
159. #5625	C₂×C₃	semidirect
160. #5618	C₂×C₃	semidirect
161. #5603	C₂×C₃	semidirect
162. #5601	C₂×C₃	semidirect
163. #5600	C₂×C₃	semidirect
164. #5593	C₂×C₃	semidirect
165. #5587	C₂×C₃	semidirect
166. #5557	C₂×C₃	semidirect
167. #5541	C₂×C₃	semidirect
168. #5539	C₂×C₃	semidirect
169. C₄×#237	C₂×C₃	semidirect
170. #5495	C₂×C₃	semidirect
171. C₂×#879	C₂×C₃	semidirect
401. #946	C₂²×C₃	semidirect
402. Q₈×Dic₃	C₂²×C₃	semidirect
403. Q₈×Dic₃	C₂²×C₃	semidirect
404. #944	C₂²×C₃	semidirect
406. #939	C₂²×C₃	semidirect
407. #939	C₂²×C₃	semidirect
412. #936	C₂²×C₃	semidirect
415. #935	C₂²×C₃	semidirect
416. #935	C₂²×C₃	semidirect
424. D₄×Dic₃	C₂²×C₃	semidirect
425. D₄×Dic₃	C₂²×C₃	semidirect
426. D₄×Dic₃	C₂²×C₃	semidirect
427. #929	C₂²×C₃	semidirect
429. C₄×#67	C₂²×C₃	semidirect
430. C₄×#67	C₂²×C₃	semidirect
433. #926	C₂²×C₃	semidirect
434. #926	C₂²×C₃	semidirect
435. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
436. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
438. #924	C₂²×C₃	semidirect
439. #924	C₂²×C₃	semidirect
440. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
441. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
442. C₂×C₄×Dic₃	C₂²×C₃	semidirect
443. #898	C₂²×C₃	semidirect
444. #897	C₂²×C₃	semidirect
445. #892	C₂²×C₃	semidirect
446. #890	C₂²×C₃	semidirect
447. #890	C₂²×C₃	semidirect
448. #890	C₂²×C₃	semidirect
449. #889	C₂²×C₃	semidirect
450. #889	C₂²×C₃	semidirect
451. #888	C₂²×C₃	semidirect
452. #887	C₂²×C₃	semidirect
453. #887	C₂²×C₃	semidirect
454. #886	C₂²×C₃	semidirect
457. #883	C₂²×C₃	semidirect
458. #883	C₂²×C₃	semidirect
459. #67⋊C₄	C₂²×C₃	semidirect
460. #67⋊C₄	C₂²×C₃	semidirect
466. #879	C₂²×C₃	semidirect
467. #879	C₂²×C₃	semidirect
468. #879	C₂²×C₃	semidirect
469. #879	C₂²×C₃	semidirect
470. #879	C₂²×C₃	semidirect
471. #879	C₂²×C₃	semidirect
472. #878	C₂²×C₃	semidirect
473. #878	C₂²×C₃	semidirect
474. #878	C₂²×C₃	semidirect
475. #878	C₂²×C₃	semidirect
476. #877	C₂²×C₃	semidirect
477. #877	C₂²×C₃	semidirect
478. #877	C₂²×C₃	semidirect
479. #877	C₂²×C₃	semidirect
480. C₄²×D₃	C₂²×C₃	semidirect
481. #870	C₂²×C₃	semidirect
482. C₄×Dic₆	C₂²×C₃	semidirect
483. C₄×Dic₆	C₂²×C₃	semidirect
549. #546	C₃×D₃	semidirect
1258. C₃²	#3521	semidirect
1372. C₃	#86643	direct (N × H)
1373. C₃	C₃×#3521	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#546	2
C₃×#5827	2
C₃×#5824	2
C₃×#5806	2
C₃×#5798	2
C₃×#5680	2
C₃×#5671	2
C₃×#5665	2
C₃×#5650	2
C₃×#5641	2
C₃×#5625	2
C₃×#5618	2
C₃×#5603	2
C₃×#5601	2
C₃×#5600	2
C₃×#5593	2
C₃×#5587	2
C₃×#5557	2
C₃×#5541	2
C₃×#5539	2
C₃×C₄×#237	2
C₃×#5495	2
C₂×C₃×#879	2
C₃×#3521	3
#86643	3

Subgroups — C3×#86643 #11909376

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86643 #11909376