Subgroups — C₃×#86875 #11903863

Order 1152.

2343 conjugacy classes of subgroups.

The subgroup lattice has 1391 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5706	C₂	1	2	yes	maximal, complemented
3	C₃×#5702	C₂	1	2	yes	maximal, complemented
4	C₃×#5691	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5685	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5664	C₂	1	2	yes	maximal, complemented
7	C₃×#5649	C₂	1	2	yes	maximal, complemented
8	C₃×#5601	C₂	1	2	yes	maximal, complemented
9	C₃×#5600	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5599	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5598	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5596	C₂	1	2	yes	maximal, complemented
13	C₃×#5596	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5559	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5552	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5540	C₂	1	2	yes	maximal, complemented
17	C₃×C₄×#237	C₂	1	2	yes	maximal, complemented
18	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5533	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5522	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5514	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#887	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3480	—	3	1	no	maximal
25	#86875	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃×#237	C₂²	1	2	yes	—
27	C₂×C₃×#237	C₂²	1	1	yes	characteristic
28	C₂×C₃×#237	C₂²	1	1	yes	characteristic
29	C₂×C₃×#235	C₂²	1	1	yes	characteristic
30	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic
31	C₃²×#126	C₂²	1	2	yes	—
32	C₃²×#125	C₂²	1	1	yes	characteristic
33	C₃²×#123	C₂²	1	2	yes	—
34	C₃²×#121	C₂²	1	1	yes	characteristic
35	C₃²×#121	C₂²	1	2	yes	—
36	C₃²×#121	C₂²	1	1	yes	characteristic
37	C₃²×C₄×D₄	C₂²	1	2	yes	—
38	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₃²×#117	C₂²	1	1	yes	characteristic
41	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₃×#940	C₂²	1	1	yes	characteristic
43	C₃×#940	C₂²	1	2	yes	—
44	C₃×#939	C₂²	1	2	yes	—
45	C₃×#939	C₂²	1	2	yes	—
46	C₃×#939	C₂²	1	2	yes	—
47	C₃×#939	C₂²	1	2	yes	—
48	C₃×#936	C₂²	1	1	yes	characteristic
49	C₃×#935	C₂²	1	2	yes	—
50	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
51	C₃×D₄×Dic₃	C₂²	1	2	yes	—
52	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
53	C₃×D₄×Dic₃	C₂²	1	2	yes	—
54	C₃×#930	C₂²	1	2	yes	—
55	C₃×#930	C₂²	1	1	yes	characteristic
56	C₃×#929	C₂²	1	2	yes	—
57	C₃×C₄×#67	C₂²	1	1	yes	characteristic
58	C₃×C₄×#67	C₂²	1	2	yes	—
59	C₃×C₄×#67	C₂²	1	1	yes	characteristic
60	C₃×C₄×#67	C₂²	1	2	yes	—
61	C₃×C₄×#67	C₂²	1	2	yes	—
62	C₃×#924	C₂²	1	1	yes	characteristic
63	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	—
64	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
65	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	—
66	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
67	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	—
68	C₃×#898	C₂²	1	2	yes	—
69	C₃×#898	C₂²	1	2	yes	—
70	C₃×#897	C₂²	1	1	yes	characteristic
71	C₃×#896	C₂²	1	2	yes	—
72	C₃×#895	C₂²	1	1	yes	characteristic
73	C₃×#894	C₂²	1	2	yes	—
74	C₃×#894	C₂²	1	2	yes	—
75	C₃×#893	C₂²	1	1	yes	characteristic
76	C₃×#893	C₂²	1	1	yes	characteristic
77	C₃×#893	C₂²	1	2	yes	—
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×#890	C₂²	1	1	yes	characteristic
82	C₃×#889	C₂²	1	2	yes	—
83	C₃×#889	C₂²	1	2	yes	—
84	C₃×#888	C₂²	1	1	yes	characteristic
85	C₃×#888	C₂²	1	2	yes	—
86	C₃×#887	C₂²	1	1	yes	characteristic
87	C₃×#887	C₂²	1	1	yes	characteristic
88	C₃×#887	C₂²	1	1	yes	characteristic
89	C₃×#887	C₂²	1	1	yes	characteristic
90	C₃×#887	C₂²	1	2	yes	—
91	C₃×#887	C₂²	1	2	yes	—
92	C₃×#887	C₂²	1	1	yes	characteristic
93	C₃×#887	C₂²	1	2	yes	—
94	C₃×#887	C₂²	1	1	yes	characteristic
95	C₃×#885	C₂²	1	2	yes	—
96	C₃×#885	C₂²	1	2	yes	—
97	C₃×#885	C₂²	1	2	yes	—
98	C₃×#885	C₂²	1	2	yes	—
99	C₃×#885	C₂²	1	2	yes	—
100	C₃×#884	C₂²	1	2	yes	—
101	C₃×#883	C₂²	1	2	yes	—
102	C₃×#67⋊C₄	C₂²	1	2	yes	—
103	C₃×#67⋊C₄	C₂²	1	2	yes	—
104	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
105	C₃×#67⋊C₄	C₂²	1	2	yes	—
106	C₃×#67⋊C₄	C₂²	1	2	yes	—
107	C₃×#67⋊C₄	C₂²	1	2	yes	—
108	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
109	C₃×#67⋊C₄	C₂²	1	2	yes	—
110	C₃×#879	C₂²	1	2	yes	—
111	C₃×#879	C₂²	1	2	yes	—
112	C₃×#878	C₂²	1	2	yes	—
113	C₃×#877	C₂²	1	1	yes	characteristic
114	C₃×#877	C₂²	1	2	yes	—
115	C₃×#877	C₂²	1	2	yes	—
116	C₃×#877	C₂²	1	1	yes	characteristic
117	C₃×#876	C₂²	1	2	yes	—
118	C₃×#875	C₂²	1	1	yes	characteristic
119	C₃×#872	C₂²	1	2	yes	—
120	C₃×C₄²×D₃	C₂²	1	2	yes	—
121	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
122	C₃×C₄×Dic₆	C₂²	1	2	yes	—
123	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic
124	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic
125	C₃×#559	—	3	2	no	—
126	C₃×#559	—	3	1	no	—
127	C₃×#557	—	3	1	no	—
128	C₃×#556	—	3	2	no	—
129	C₃×#556	—	3	1	no	—
130	C₃×#553	—	2	1	no	—
131	C₃×#553	—	3	2	no	—
132	C₃×#553	—	3	2	no	—
133	C₃×#553	—	3	1	no	—
134	C₃×#553	D₃	1	1	yes	characteristic, complemented
135	C₃×#553	C₂×C₃	1	1	yes	characteristic, complemented
136	C₃×#550	—	3	1	no	—
137	C₃×#548	—	3	1	no	—
138	C₃×#548	—	3	1	no	—
139	C₃×#532	—	3	1	no	—
140	C₃×#532	—	3	2	no	—
141	C₃×#529	—	3	2	no	—
142	C₃×#529	—	3	1	no	—
143	C₃×#529	—	3	2	no	—
144	C₃×#529	—	3	1	no	—
145	C₃×C₄×#41	—	3	2	no	—
146	C₃×C₄×#41	—	3	1	no	—
147	C₃×C₄×#41	—	3	1	no	—
148	C₃×C₄×#41	—	3	1	no	—
149	C₂×C₃×C₄×Q₈	—	3	1	no	—
150	#5706	C₂×C₃	1	2	yes	complemented
151	#5702	C₂×C₃	1	2	yes	complemented
152	#5691	C₂×C₃	1	1	yes	characteristic, complemented
153	#5685	C₂×C₃	1	1	yes	characteristic, complemented
154	#5664	C₂×C₃	1	2	yes	complemented
155	#5649	C₂×C₃	1	2	yes	complemented
156	#5601	C₂×C₃	1	2	yes	complemented
157	#5600	C₂×C₃	1	1	yes	characteristic, complemented
158	#5599	C₂×C₃	1	1	yes	characteristic, complemented
159	#5598	C₂×C₃	1	1	yes	characteristic, complemented
160	#5596	C₂×C₃	1	1	yes	characteristic, complemented
161	#5596	C₂×C₃	1	2	yes	complemented
162	#5559	C₂×C₃	1	1	yes	characteristic, complemented
163	#5552	C₂×C₃	1	1	yes	characteristic, complemented
164	#5540	C₂×C₃	1	2	yes	complemented
165	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
166	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
167	C₄×#237	C₂×C₃	1	2	yes	complemented
168	#5533	C₂×C₃	1	1	yes	characteristic, complemented
169	#5522	C₂×C₃	1	1	yes	characteristic, complemented
170	#5514	C₂×C₃	1	1	yes	characteristic, complemented
171	C₂×#887	C₂×C₃	1	1	yes	characteristic, complemented
172	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
173	C₂×C₃²×D₄	C₂³	1	2	yes	—
174	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
175	C₂×C₃²×D₄	C₂³	1	2	yes	—
176	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
177	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
178	C₂²×C₃²×C₄	C₂³	1	2	yes	—
179	C₂²×C₃²×C₄	C₂³	1	2	yes	—
180	C₂×C₃×#67	C₂³	1	2	yes	—
181	C₂×C₃×#67	C₂³	1	2	yes	—
182	C₂×C₃×#67	C₂³	1	2	yes	—
183	C₂×C₃×#67	C₂³	1	1	yes	characteristic
184	C₂×C₃×#67	C₂³	1	1	yes	characteristic
185	C₂×C₃×#67	C₂³	1	2	yes	—
186	C₂×C₃×#67	C₂³	1	2	yes	—
187	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
188	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
189	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
190	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
191	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
192	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
193	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
194	C₃×#237	—	2	8	no	—
195	C₃×#237	—	2	4	no	—
196	C₃×#237	—	2	4	no	—
197	C₃×#235	—	2	4	no	—
198	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
199	C₂×C₃×D₁₂	C₂³	1	2	yes	—
200	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
201	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
202	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
203	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
204	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
205	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
206	C₂×C₃×Dic₆	—	2	4	no	—
207	C₂×C₃×Dic₆	C₂³	1	2	yes	—
208	C₂×C₃×Dic₆	C₂³	1	2	yes	—
209	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
210	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
211	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
212	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
215	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
217	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
219	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₃²×C₄²	C₂³	1	2	yes	—
226	C₃²×C₄²	C₂³	1	1	yes	characteristic
227	C₃×#217	C₂³	1	1	yes	characteristic
228	C₃×#217	C₂³	1	2	yes	—
229	C₃×#217	C₂³	1	2	yes	—
230	C₃×#217	C₂³	1	1	yes	characteristic
231	C₃×#217	C₂³	1	2	yes	—
232	C₃×#217	C₂³	1	2	yes	—
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	2	yes	—
238	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
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×C₄⋊Dic₃	C₂³	1	2	yes	—
244	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
245	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
246	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
247	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
249	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
250	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
251	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
252	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
253	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
254	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
255	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
256	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
257	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
258	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
259	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
260	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
261	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
262	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
263	C₃×C₄×Dic₃	C₂³	1	2	yes	—
264	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
265	C₃×C₄×Dic₃	C₂³	1	2	yes	—
266	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
267	C₃×C₄×Dic₃	C₂³	1	2	yes	—
268	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
269	C₃×C₄×Dic₃	C₂³	1	2	yes	—
270	C₃×C₄×Dic₃	C₂³	1	2	yes	—
271	C₃×C₄×Dic₃	C₂³	1	2	yes	—
272	C₃×C₄×Dic₃	C₂³	1	2	yes	—
273	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
274	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
275	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
276	#3480	—	3	1	no	Sylow
277	C₂×C₃×#41	—	3	2	no	—
278	C₂×C₃×#41	—	3	1	no	—
279	C₂×C₃×#41	—	3	1	no	—
280	C₂×C₃×#41	—	3	1	no	—
281	C₂²×C₃×Q₈	—	3	1	no	—
282	C₂×#237	C₂²×C₃	1	1	yes	characteristic
283	C₂×#237	C₂²×C₃	1	2	yes	—
284	C₂×#237	C₂²×C₃	1	1	yes	characteristic
285	C₂×#235	C₂²×C₃	1	1	yes	characteristic
286	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic
287	C₃×C₄⋊Q₈	—	3	2	no	—
288	C₃×C₄⋊Q₈	—	3	1	no	—
289	C₃×#127	—	3	2	no	—
290	C₃×#127	—	3	1	no	—
291	C₃×#126	—	2	2	no	—
292	C₃×#126	—	3	2	no	—
293	C₃×#126	—	3	2	no	—
294	C₃×#126	—	3	2	no	—
295	C₃×#126	—	3	2	no	—
296	C₃×#126	—	3	2	no	—
297	C₃×#126	C₂×D₃	1	2	yes	—
298	C₃×#126	C₂²×C₃	1	2	yes	—
299	C₃×#125	—	2	1	no	—
300	C₃×#125	—	3	2	no	—
301	C₃×#125	—	3	2	no	—
302	C₃×#125	—	3	1	no	—
303	C₃×#125	C₂×D₃	1	1	yes	characteristic
304	C₃×#125	C₂²×C₃	1	1	yes	characteristic
305	C₃×#124	—	3	1	no	—
306	C₃×#124	—	3	2	no	—
307	C₃×#124	—	3	2	no	—
308	C₃×#124	—	3	2	no	—
309	C₃×#124	—	3	2	no	—
310	C₃×#124	—	3	2	no	—
311	C₃×#124	—	3	1	no	—
312	C₃×#123	—	2	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	—	3	2	no	—
318	C₃×#123	C₂×D₃	1	2	yes	—
319	C₃×#123	C₂²×C₃	1	2	yes	—
320	C₃×C₂²⋊Q₈	—	3	1	no	—
321	C₃×C₂²⋊Q₈	—	3	2	no	—
322	C₃×C₂²⋊Q₈	—	3	1	no	—
323	C₃×C₂²⋊Q₈	—	3	2	no	—
324	C₃×#121	—	2	1	no	—
325	C₃×#121	—	2	1	no	—
326	C₃×#121	—	2	2	no	—
327	C₃×#121	—	3	2	no	—
328	C₃×#121	—	3	2	no	—
329	C₃×#121	—	3	2	no	—
330	C₃×#121	—	3	2	no	—
331	C₃×#121	—	3	1	no	—
332	C₃×#121	—	3	2	no	—
333	C₃×#121	—	3	1	no	—
334	C₃×#121	—	3	2	no	—
335	C₃×#121	C₂×D₃	1	1	yes	characteristic
336	C₃×#121	C₂×D₃	1	1	yes	characteristic
337	C₃×#121	C₂×D₃	1	2	yes	—
338	C₃×#121	C₂²×C₃	1	1	yes	characteristic
339	C₃×#121	C₂²×C₃	1	2	yes	—
340	C₃×#121	C₂²×C₃	1	1	yes	characteristic
341	C₃×C₄×Q₈	—	3	2	no	—
342	C₃×C₄×Q₈	—	3	1	no	—
343	C₃×C₄×Q₈	—	3	2	no	—
344	C₃×C₄×Q₈	—	3	1	no	—
345	C₃×C₄×Q₈	—	3	2	no	—
346	C₃×C₄×Q₈	—	3	1	no	—
347	C₃×C₄×Q₈	—	3	1	no	—
348	C₃×C₄×Q₈	—	3	1	no	—
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×D₄	—	2	1	no	—
354	C₃×C₄×D₄	—	2	2	no	—
355	C₃×C₄×D₄	—	2	1	no	—
356	C₃×C₄×D₄	—	3	1	no	—
357	C₃×C₄×D₄	—	3	2	no	—
358	C₃×C₄×D₄	—	3	1	no	—
359	C₃×C₄×D₄	—	3	2	no	—
360	C₃×C₄×D₄	—	3	2	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	1	no	—
366	C₃×C₄×D₄	—	3	1	no	—
367	C₃×C₄×D₄	—	3	2	no	—
368	C₃×C₄×D₄	—	3	1	no	—
369	C₃×C₄×D₄	—	3	2	no	—
370	C₃×C₄×D₄	—	3	2	no	—
371	C₃×C₄×D₄	—	3	2	no	—
372	C₃×C₄×D₄	—	3	2	no	—
373	C₃×C₄×D₄	—	3	2	no	—
374	C₃×C₄×D₄	—	3	1	no	—
375	C₃×C₄×D₄	—	3	2	no	—
376	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
377	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
378	C₃×C₄×D₄	C₂×D₃	1	2	yes	—
379	C₃×C₄×D₄	C₂²×C₃	1	2	yes	—
380	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
381	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
382	C₃×#117	—	2	1	no	—
383	C₃×#117	—	3	2	no	—
384	C₃×#117	—	3	1	no	—
385	C₃×#117	—	3	1	no	—
386	C₃×#117	—	3	1	no	—
387	C₃×#117	—	3	1	no	—
388	C₃×#117	—	3	2	no	—
389	C₃×#117	—	3	2	no	—
390	C₃×#117	—	3	2	no	—
391	C₃×#117	C₂×D₃	1	1	yes	characteristic
392	C₃×#117	C₂²×C₃	1	1	yes	characteristic
393	C₂×C₃×C₄⋊C₄	—	2	1	no	—
394	C₂×C₃×C₄⋊C₄	—	3	2	no	—
395	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
396	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
397	C₂×C₃×C₄²	—	3	2	no	—
398	C₂×C₃×C₄²	—	3	1	no	—
399	C₂×C₃×C₄²	—	3	2	no	—
400	C₂×C₃×C₄²	—	3	1	no	—
401	C₂×C₃×C₄²	—	3	1	no	—
402	C₂×C₃×C₄²	—	3	2	no	—
403	#940	C₂²×C₃	1	2	yes	—
404	#940	C₂²×C₃	1	1	yes	characteristic
405	#939	C₂²×C₃	1	2	yes	—
406	#939	C₂²×C₃	1	2	yes	—
407	#939	C₂²×C₃	1	2	yes	—
408	#939	C₂²×C₃	1	2	yes	—
409	#936	C₂²×C₃	1	1	yes	characteristic
410	#935	C₂²×C₃	1	2	yes	—
411	D₄×Dic₃	C₂²×C₃	1	2	yes	—
412	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
413	D₄×Dic₃	C₂²×C₃	1	2	yes	—
414	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
415	#930	C₂²×C₃	1	2	yes	—
416	#930	C₂²×C₃	1	1	yes	characteristic
417	#929	C₂²×C₃	1	2	yes	—
418	C₄×#67	C₂²×C₃	1	2	yes	—
419	C₄×#67	C₂²×C₃	1	2	yes	—
420	C₄×#67	C₂²×C₃	1	1	yes	characteristic
421	C₄×#67	C₂²×C₃	1	2	yes	—
422	C₄×#67	C₂²×C₃	1	1	yes	characteristic
423	#924	C₂²×C₃	1	1	yes	characteristic
424	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	—
425	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	—
426	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	—
427	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
428	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
429	#898	C₂²×C₃	1	2	yes	—
430	#898	C₂²×C₃	1	2	yes	—
431	#897	C₂²×C₃	1	1	yes	characteristic
432	#896	C₂²×C₃	1	2	yes	—
433	#895	C₂²×C₃	1	1	yes	characteristic
434	#894	C₂²×C₃	1	2	yes	—
435	#894	C₂²×C₃	1	2	yes	—
436	#893	C₂²×C₃	1	2	yes	—
437	#893	C₂²×C₃	1	1	yes	characteristic
438	#893	C₂²×C₃	1	1	yes	characteristic
439	#892	C₂²×C₃	1	2	yes	—
440	#892	C₂²×C₃	1	1	yes	characteristic
441	#892	C₂²×C₃	1	1	yes	characteristic
442	#890	C₂²×C₃	1	1	yes	characteristic
443	#889	C₂²×C₃	1	2	yes	—
444	#889	C₂²×C₃	1	2	yes	—
445	#888	C₂²×C₃	1	2	yes	—
446	#888	C₂²×C₃	1	1	yes	characteristic
447	#887	C₂²×C₃	1	2	yes	—
448	#887	C₂²×C₃	1	2	yes	—
449	#887	C₂²×C₃	1	2	yes	—
450	#887	C₂²×C₃	1	1	yes	characteristic
451	#887	C₂²×C₃	1	1	yes	characteristic
452	#887	C₂²×C₃	1	1	yes	characteristic
453	#887	C₂²×C₃	1	1	yes	characteristic
454	#887	C₂²×C₃	1	1	yes	characteristic
455	#887	C₂²×C₃	1	1	yes	characteristic
456	#885	C₂²×C₃	1	2	yes	—
457	#885	C₂²×C₃	1	2	yes	—
458	#885	C₂²×C₃	1	2	yes	—
459	#885	C₂²×C₃	1	2	yes	—
460	#885	C₂²×C₃	1	2	yes	—
461	#884	C₂²×C₃	1	2	yes	—
462	#883	C₂²×C₃	1	2	yes	—
463	#67⋊C₄	C₂²×C₃	1	2	yes	—
464	#67⋊C₄	C₂²×C₃	1	2	yes	—
465	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
466	#67⋊C₄	C₂²×C₃	1	2	yes	—
467	#67⋊C₄	C₂²×C₃	1	2	yes	—
468	#67⋊C₄	C₂²×C₃	1	2	yes	—
469	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
470	#67⋊C₄	C₂²×C₃	1	2	yes	—
471	#879	C₂²×C₃	1	2	yes	—
472	#879	C₂²×C₃	1	2	yes	—
473	#878	C₂²×C₃	1	2	yes	—
474	#877	C₂²×C₃	1	1	yes	characteristic
475	#877	C₂²×C₃	1	2	yes	—
476	#877	C₂²×C₃	1	2	yes	—
477	#877	C₂²×C₃	1	1	yes	characteristic
478	#876	C₂²×C₃	1	2	yes	—
479	#875	C₂²×C₃	1	1	yes	characteristic
480	#872	C₂²×C₃	1	2	yes	—
481	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
482	C₄²×D₃	C₂²×C₃	1	2	yes	—
483	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic
484	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic
485	C₄×Dic₆	C₂²×C₃	1	2	yes	—
486	C₂³×C₃²	C₂⁴	1	2	yes	—
487	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
488	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
489	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
490	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
491	C₃²×D₄	—	2	4	no	—
492	C₃²×D₄	—	2	2	no	—
493	C₃²×D₄	—	2	2	no	—
494	C₃²×D₄	—	4	2	no	—
495	C₂×C₃²×C₄	—	2	2	no	—
496	C₂×C₃²×C₄	—	2	2	no	—
497	C₂×C₃²×C₄	—	4	2	no	—
498	C₂×C₃²×C₄	—	4	2	no	—
499	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
500	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
501	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
502	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
503	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
504	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
505	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
506	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
507	C₃×#67	—	2	2	no	—
508	C₃×#67	—	2	4	no	—
509	C₃×#67	—	2	4	no	—
510	C₃×#67	—	2	4	no	—
511	C₃×#67	—	2	2	no	—
512	C₃×#67	—	2	4	no	—
513	C₃×#67	—	4	2	no	—
514	C₂×C₃×Dic₃	—	2	4	no	—
515	C₂×C₃×Dic₃	—	2	4	no	—
516	C₂×C₃×Dic₃	—	2	2	no	—
517	C₂×C₃×Dic₃	—	2	4	no	—
518	C₂×C₃×Dic₃	—	4	1	no	—
519	C₂×C₃×Dic₃	—	4	1	no	—
520	C₂×C₃×Dic₃	#41	1	4	yes	complemented
521	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
522	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
523	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
526	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
527	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
528	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
529	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
531	C₃×D₁₂	—	2	2	no	—
532	C₃×D₁₂	—	4	2	no	—
533	C₃×C₄×D₃	—	2	2	no	—
534	C₃×C₄×D₃	—	2	4	no	—
535	C₃×C₄×D₃	—	2	4	no	—
536	C₃×C₄×D₃	—	2	2	no	—
537	C₃×C₄×D₃	—	4	2	no	—
538	C₃×C₄×D₃	—	4	1	no	—
539	C₃×Dic₆	—	2	2	no	—
540	C₃×Dic₆	—	2	4	no	—
541	C₃×Dic₆	—	2	4	no	—
542	C₃×Dic₆	—	2	2	no	—
543	C₃×Dic₆	#41	1	4	yes	complemented
544	#559	—	3	2	no	—
545	#559	—	3	1	no	—
546	#557	—	3	1	no	—
547	#556	—	3	2	no	—
548	#556	—	3	1	no	—
549	#553	—	3	2	no	—
550	#553	—	3	2	no	—
551	#553	—	3	1	no	—
552	#553	C₃×D₃	1	1	yes	characteristic, complemented
553	#550	—	3	1	no	—
554	#548	—	3	1	no	—
555	#548	—	3	1	no	—
556	#532	—	3	1	no	—
557	#532	—	3	2	no	—
558	#529	—	3	2	no	—
559	#529	—	3	1	no	—
560	#529	—	3	2	no	—
561	#529	—	3	1	no	—
562	C₄×#41	—	3	2	no	—
563	C₄×#41	—	3	1	no	—
564	C₄×#41	—	3	1	no	—
565	C₄×#41	—	3	1	no	—
566	C₂×C₄×Q₈	—	3	1	no	—
567	C₃×#41	—	6	4	no	—
568	C₃×#41	—	6	8	no	—
569	C₃×#41	—	6	4	no	—
570	C₃×#41	—	6	4	no	—
571	C₂×C₃×Q₈	—	3	1	no	—
572	C₂×C₃×Q₈	—	3	2	no	—
573	C₂×C₃×Q₈	—	3	1	no	—
574	C₂×C₃×Q₈	—	3	2	no	—
575	C₂×C₃×Q₈	—	3	1	no	—
576	C₂×C₃×Q₈	—	6	4	no	—
577	C₂×C₃×D₄	—	2	2	no	—
578	C₂×C₃×D₄	—	2	1	no	—
579	C₂×C₃×D₄	—	2	1	no	—
580	C₂×C₃×D₄	—	2	2	no	—
581	C₂×C₃×D₄	—	3	1	no	—
582	C₂×C₃×D₄	—	3	2	no	—
583	C₂×C₃×D₄	—	3	2	no	—
584	C₂×C₃×D₄	—	3	2	no	—
585	C₂×C₃×D₄	—	3	2	no	—
586	C₂×C₃×D₄	—	3	1	no	—
587	C₂×C₃×D₄	—	3	2	no	—
588	C₂×C₃×D₄	—	3	1	no	—
589	C₂×C₃×D₄	—	3	2	no	—
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	C₂²×D₃	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	1	yes	characteristic
597	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
598	C₂²×C₃×C₄	—	2	1	no	—
599	C₂²×C₃×C₄	—	2	1	no	—
600	C₂²×C₃×C₄	—	2	2	no	—
601	C₂²×C₃×C₄	—	2	2	no	—
602	C₂²×C₃×C₄	—	3	1	no	—
603	C₂²×C₃×C₄	—	3	2	no	—
604	C₂²×C₃×C₄	—	3	2	no	—
605	C₂²×C₃×C₄	—	3	1	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	2	no	—
610	C₂²×C₃×C₄	—	3	1	no	—
611	C₂²×C₃×C₄	—	3	2	no	—
612	C₂²×C₃×C₄	—	3	1	no	—
613	C₂²×C₃×C₄	—	3	2	no	—
614	C₂²×C₃×C₄	—	3	1	no	—
615	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
616	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
617	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
618	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
619	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
621	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
622	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
623	C₂×#67	C₂³×C₃	1	2	yes	—
624	C₂×#67	C₂³×C₃	1	2	yes	—
625	C₂×#67	C₂³×C₃	1	1	yes	characteristic
626	C₂×#67	C₂³×C₃	1	2	yes	—
627	C₂×#67	C₂³×C₃	1	1	yes	characteristic
628	C₂×#67	C₂³×C₃	1	2	yes	—
629	C₂×#67	C₂³×C₃	1	2	yes	—
630	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
631	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
632	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
633	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
634	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
635	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
636	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
637	#237	—	2	4	no	—
638	#237	—	2	8	no	—
639	#237	—	2	4	no	—
640	#235	—	2	4	no	—
641	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
642	C₂×D₁₂	C₂³×C₃	1	2	yes	—
643	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
644	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
645	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
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	2	yes	—
649	C₂×Dic₆	—	2	4	no	—
650	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
651	C₂×Dic₆	C₂³×C₃	1	2	yes	—
652	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
653	C₂×Dic₆	C₂³×C₃	1	2	yes	—
654	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
655	C₃×C₄⋊C₄	—	2	1	no	—
656	C₃×C₄⋊C₄	—	2	1	no	—
657	C₃×C₄⋊C₄	—	2	2	no	—
658	C₃×C₄⋊C₄	—	2	1	no	—
659	C₃×C₄⋊C₄	—	2	2	no	—
660	C₃×C₄⋊C₄	—	2	1	no	—
661	C₃×C₄⋊C₄	—	2	2	no	—
662	C₃×C₄⋊C₄	—	3	2	no	—
663	C₃×C₄⋊C₄	—	3	2	no	—
664	C₃×C₄⋊C₄	—	3	2	no	—
665	C₃×C₄⋊C₄	—	3	2	no	—
666	C₃×C₄⋊C₄	—	3	1	no	—
667	C₃×C₄⋊C₄	—	3	1	no	—
668	C₃×C₄⋊C₄	—	3	2	no	—
669	C₃×C₄⋊C₄	—	3	2	no	—
670	C₃×C₄⋊C₄	—	3	1	no	—
671	C₃×C₄⋊C₄	—	3	2	no	—
672	C₃×C₄⋊C₄	—	3	2	no	—
673	C₃×C₄⋊C₄	—	3	1	no	—
674	C₃×C₄⋊C₄	—	3	2	no	—
675	C₃×C₄⋊C₄	—	3	1	no	—
676	C₃×C₄⋊C₄	—	3	2	no	—
677	C₃×C₄⋊C₄	—	3	1	no	—
678	C₃×C₄⋊C₄	—	3	2	no	—
679	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
680	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
681	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
682	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
683	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
684	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
685	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
686	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
687	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
688	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
689	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
690	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
691	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
692	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
693	C₃×C₂²⋊C₄	—	2	2	no	—
694	C₃×C₂²⋊C₄	—	2	1	no	—
695	C₃×C₂²⋊C₄	—	2	2	no	—
696	C₃×C₂²⋊C₄	—	2	2	no	—
697	C₃×C₂²⋊C₄	—	2	1	no	—
698	C₃×C₂²⋊C₄	—	2	2	no	—
699	C₃×C₂²⋊C₄	—	3	1	no	—
700	C₃×C₂²⋊C₄	—	3	1	no	—
701	C₃×C₂²⋊C₄	—	3	2	no	—
702	C₃×C₂²⋊C₄	—	3	2	no	—
703	C₃×C₂²⋊C₄	—	3	2	no	—
704	C₃×C₂²⋊C₄	—	3	2	no	—
705	C₃×C₂²⋊C₄	—	3	2	no	—
706	C₃×C₂²⋊C₄	—	3	1	no	—
707	C₃×C₂²⋊C₄	—	3	2	no	—
708	C₃×C₂²⋊C₄	—	3	2	no	—
709	C₃×C₂²⋊C₄	—	3	2	no	—
710	C₃×C₂²⋊C₄	—	3	1	no	—
711	C₃×C₂²⋊C₄	—	3	2	no	—
712	C₃×C₂²⋊C₄	—	3	2	no	—
713	C₃×C₂²⋊C₄	—	3	2	no	—
714	C₃×C₂²⋊C₄	—	3	2	no	—
715	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
716	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
717	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
718	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
719	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
720	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
721	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
722	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
723	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
724	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
725	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
726	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
727	C₃×C₄²	—	2	2	no	—
728	C₃×C₄²	—	2	1	no	—
729	C₃×C₄²	—	3	1	no	—
730	C₃×C₄²	—	3	1	no	—
731	C₃×C₄²	—	3	2	no	—
732	C₃×C₄²	—	3	1	no	—
733	C₃×C₄²	—	3	2	no	—
734	C₃×C₄²	—	3	1	no	—
735	C₃×C₄²	—	3	1	no	—
736	C₃×C₄²	—	3	2	no	—
737	C₃×C₄²	—	3	1	no	—
738	C₃×C₄²	—	3	2	no	—
739	C₃×C₄²	—	3	2	no	—
740	C₃×C₄²	—	3	1	no	—
741	C₃×C₄²	—	3	1	no	—
742	C₃×C₄²	—	3	2	no	—
743	C₃×C₄²	—	3	2	no	—
744	C₃×C₄²	—	3	1	no	—
745	C₃×C₄²	C₂²×D₃	1	2	yes	—
746	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
747	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
748	C₃×C₄²	C₂³×C₃	1	2	yes	—
749	#217	C₂³×C₃	1	1	yes	characteristic
750	#217	C₂³×C₃	1	2	yes	—
751	#217	C₂³×C₃	1	2	yes	—
752	#217	C₂³×C₃	1	1	yes	characteristic
753	#217	C₂³×C₃	1	2	yes	—
754	#217	C₂³×C₃	1	2	yes	—
755	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
756	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
757	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
758	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
759	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
760	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
761	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
762	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
764	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
765	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
766	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
767	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
768	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
769	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
771	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
772	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
773	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	2	yes	—
778	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
779	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
780	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
781	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
782	C₄×Dic₃	C₂³×C₃	1	2	yes	—
783	C₄×Dic₃	C₂³×C₃	1	2	yes	—
784	C₄×Dic₃	C₂³×C₃	1	2	yes	—
785	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
786	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
787	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
788	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
789	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
790	C₄×Dic₃	C₂³×C₃	1	2	yes	—
791	C₄×Dic₃	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
797	C₄×Dic₃	C₂³×C₃	1	2	yes	—
798	C₂²×C₃²	—	2	1	no	—
799	C₂²×C₃²	—	2	1	no	—
800	C₂²×C₃²	—	2	2	no	—
801	C₂²×C₃²	—	2	1	no	—
802	C₂²×C₃²	—	2	2	no	—
803	C₂²×C₃²	—	2	1	no	—
804	C₂²×C₃²	—	2	1	no	—
805	C₂²×C₃²	—	2	2	no	—
806	C₂²×C₃²	C₂×#41	1	2	yes	—
807	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
808	C₂×C₃×D₃	—	2	2	no	—
809	C₂×C₃×D₃	—	2	2	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	2	no	—
814	C₃²×C₄	—	2	1	no	—
815	C₃²×C₄	—	2	1	no	—
816	C₃²×C₄	—	2	2	no	—
817	C₃²×C₄	—	2	1	no	—
818	C₃²×C₄	—	2	2	no	—
819	C₃²×C₄	—	2	1	no	—
820	C₃²×C₄	—	2	2	no	—
821	C₃²×C₄	C₂×#41	1	2	yes	—
822	C₃×Dic₃	—	2	2	no	—
823	C₃×Dic₃	—	2	2	no	—
824	C₃×Dic₃	—	2	1	no	—
825	C₃×Dic₃	—	2	1	no	—
826	C₃×Dic₃	—	2	1	no	—
827	C₃×Dic₃	—	2	1	no	—
828	C₃×Dic₃	—	2	1	no	—
829	C₃×Dic₃	C₂×#41	1	2	yes	—
830	C₃×Dic₃	C₂×#41	1	4	yes	—
831	C₃×Dic₃	C₂×#41	1	2	yes	—
832	C₂×#41	—	3	2	no	—
833	C₂×#41	—	3	1	no	—
834	C₂×#41	—	3	1	no	—
835	C₂×#41	—	3	1	no	—
836	C₂²×Q₈	—	3	1	no	—
837	C₄⋊Q₈	—	3	2	no	—
838	C₄⋊Q₈	—	3	1	no	—
839	#127	—	3	2	no	—
840	#127	—	3	1	no	—
841	#126	—	3	2	no	—
842	#126	—	3	2	no	—
843	#126	—	3	2	no	—
844	#126	—	3	2	no	—
845	#126	—	3	2	no	—
846	#126	C₂×C₃×D₃	1	2	yes	—
847	#125	—	3	2	no	—
848	#125	—	3	2	no	—
849	#125	—	3	1	no	—
850	#125	C₂×C₃×D₃	1	1	yes	characteristic
851	#124	—	3	1	no	—
852	#124	—	3	2	no	—
853	#124	—	3	2	no	—
854	#124	—	3	2	no	—
855	#124	—	3	2	no	—
856	#124	—	3	2	no	—
857	#124	—	3	1	no	—
858	#123	—	3	2	no	—
859	#123	—	3	2	no	—
860	#123	—	3	2	no	—
861	#123	—	3	2	no	—
862	#123	—	3	2	no	—
863	#123	C₂×C₃×D₃	1	2	yes	—
864	C₂²⋊Q₈	—	3	1	no	—
865	C₂²⋊Q₈	—	3	2	no	—
866	C₂²⋊Q₈	—	3	1	no	—
867	C₂²⋊Q₈	—	3	2	no	—
868	#121	—	3	2	no	—
869	#121	—	3	2	no	—
870	#121	—	3	2	no	—
871	#121	—	3	2	no	—
872	#121	—	3	1	no	—
873	#121	—	3	2	no	—
874	#121	—	3	1	no	—
875	#121	—	3	2	no	—
876	#121	C₂×C₃×D₃	1	1	yes	characteristic
877	#121	C₂×C₃×D₃	1	1	yes	characteristic
878	#121	C₂×C₃×D₃	1	2	yes	—
879	C₄×Q₈	—	3	1	no	—
880	C₄×Q₈	—	3	2	no	—
881	C₄×Q₈	—	3	1	no	—
882	C₄×Q₈	—	3	1	no	—
883	C₄×Q₈	—	3	2	no	—
884	C₄×Q₈	—	3	1	no	—
885	C₄×Q₈	—	3	1	no	—
886	C₄×Q₈	—	3	1	no	—
887	C₄×Q₈	—	3	2	no	—
888	C₄×Q₈	—	3	1	no	—
889	C₄×Q₈	—	3	2	no	—
890	C₄×Q₈	—	3	1	no	—
891	C₄×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	1	no	—
897	C₄×D₄	—	3	2	no	—
898	C₄×D₄	—	3	2	no	—
899	C₄×D₄	—	3	2	no	—
900	C₄×D₄	—	3	1	no	—
901	C₄×D₄	—	3	1	no	—
902	C₄×D₄	—	3	2	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	—	3	2	no	—
911	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
912	C₄×D₄	C₂×C₃×D₃	1	2	yes	—
913	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
914	#117	—	3	2	no	—
915	#117	—	3	1	no	—
916	#117	—	3	1	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	C₂×C₃×D₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	—	3	2	no	—
924	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
925	C₂×C₄²	—	3	2	no	—
926	C₂×C₄²	—	3	1	no	—
927	C₂×C₄²	—	3	2	no	—
928	C₂×C₄²	—	3	1	no	—
929	C₂×C₄²	—	3	1	no	—
930	C₂×C₄²	—	3	2	no	—
931	C₂³×C₃	—	2	1	no	—
932	C₂³×C₃	—	2	1	no	—
933	C₂³×C₃	—	2	2	no	—
934	C₂³×C₃	—	3	1	no	—
935	C₂³×C₃	—	3	2	no	—
936	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
937	C₂³×C₃	C₂³×D₃	1	2	yes	—
938	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
939	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
940	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
941	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
942	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
943	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
944	C₃×Q₈	—	3	4	no	—
945	C₃×Q₈	—	6	4	no	—
946	C₃×Q₈	—	6	4	no	—
947	C₃×Q₈	—	6	2	no	—
948	C₃×Q₈	—	6	2	no	—
949	C₃×D₄	—	2	4	no	—
950	C₃×D₄	—	2	2	no	—
951	C₃×D₄	—	2	4	no	—
952	C₃×D₄	—	2	2	no	—
953	C₃×D₄	—	2	2	no	—
954	C₃×D₄	—	2	2	no	—
955	C₃×D₄	—	4	2	no	—
956	C₃×D₄	—	4	4	no	—
957	C₃×D₄	—	4	2	no	—
958	C₃×D₄	—	4	2	no	—
959	C₃×D₄	—	4	2	no	—
960	C₃×D₄	—	6	4	no	—
961	C₃×D₄	—	6	2	no	—
962	C₃×D₄	—	6	4	no	—
963	C₃×D₄	—	6	4	no	—
964	C₃×D₄	—	6	2	no	—
965	C₃×D₄	—	6	4	no	—
966	C₃×D₄	—	6	2	no	—
967	C₃×D₄	—	8	2	no	—
968	C₃×D₄	—	12	2	no	—
969	C₃×D₄	—	12	2	no	—
970	C₂×C₃×C₄	—	2	2	no	—
971	C₂×C₃×C₄	—	2	2	no	—
972	C₂×C₃×C₄	—	2	2	no	—
973	C₂×C₃×C₄	—	2	2	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	2	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	2	no	—
979	C₂×C₃×C₄	—	2	1	no	—
980	C₂×C₃×C₄	—	2	1	no	—
981	C₂×C₃×C₄	—	2	2	no	—
982	C₂×C₃×C₄	—	3	4	no	—
983	C₂×C₃×C₄	—	3	1	no	—
984	C₂×C₃×C₄	—	3	1	no	—
985	C₂×C₃×C₄	—	3	2	no	—
986	C₂×C₃×C₄	—	3	1	no	—
987	C₂×C₃×C₄	—	3	1	no	—
988	C₂×C₃×C₄	—	3	1	no	—
989	C₂×C₃×C₄	—	3	2	no	—
990	C₂×C₃×C₄	—	3	2	no	—
991	C₂×C₃×C₄	—	3	1	no	—
992	C₂×C₃×C₄	—	3	1	no	—
993	C₂×C₃×C₄	—	4	2	no	—
994	C₂×C₃×C₄	—	4	2	no	—
995	C₂×C₃×C₄	—	4	2	no	—
996	C₂×C₃×C₄	—	4	2	no	—
997	C₂×C₃×C₄	—	4	2	no	—
998	C₂×C₃×C₄	—	4	2	no	—
999	C₂×C₃×C₄	—	6	4	no	—
1000	C₂×C₃×C₄	—	6	4	no	—
1001	C₂×C₃×C₄	—	6	2	no	—
1002	C₂×C₃×C₄	—	6	4	no	—
1003	C₂×C₃×C₄	—	6	4	no	—
1004	C₂×C₃×C₄	—	6	2	no	—
1005	C₂×C₃×C₄	—	6	4	no	—
1006	C₂×C₃×C₄	—	6	2	no	—
1007	C₂×C₃×C₄	—	8	2	no	—
1008	C₂×C₃×C₄	—	8	2	no	—
1009	C₂×C₃×C₄	—	12	2	no	—
1010	C₂×C₃×C₄	—	12	1	no	—
1011	C₂×C₃×C₄	—	12	1	no	—
1012	C₂×C₃×C₄	—	12	1	no	—
1013	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1014	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1015	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1016	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
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	2	yes	—
1020	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1021	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
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	1	yes	characteristic
1026	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1027	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1028	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1029	#67	—	2	2	no	—
1030	#67	—	2	4	no	—
1031	#67	—	2	4	no	—
1032	#67	—	2	2	no	—
1033	#67	—	2	4	no	—
1034	#67	—	2	4	no	—
1035	#67	—	4	2	no	—
1036	C₂×Dic₃	—	2	4	no	—
1037	C₂×Dic₃	—	2	2	no	—
1038	C₂×Dic₃	—	2	4	no	—
1039	C₂×Dic₃	—	2	4	no	—
1040	C₂×Dic₃	—	4	1	no	—
1041	C₂×Dic₃	—	4	1	no	—
1042	C₂×Dic₃	C₃×#41	1	4	yes	complemented
1043	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1044	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1045	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1046	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1048	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1049	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1050	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1051	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1052	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1053	D₁₂	—	2	2	no	—
1054	D₁₂	—	4	2	no	—
1055	C₄×D₃	—	2	2	no	—
1056	C₄×D₃	—	2	4	no	—
1057	C₄×D₃	—	2	2	no	—
1058	C₄×D₃	—	2	4	no	—
1059	C₄×D₃	—	4	2	no	—
1060	C₄×D₃	—	4	1	no	—
1061	Dic₆	—	2	2	no	—
1062	Dic₆	—	2	4	no	—
1063	Dic₆	—	2	2	no	—
1064	Dic₆	—	2	4	no	—
1065	Dic₆	C₃×#41	1	4	yes	complemented
1066	C₂×C₃²	—	2	2	no	—
1067	C₂×C₃²	—	4	2	no	—
1068	C₂×C₃²	—	4	1	no	—
1069	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1070	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1071	C₂×C₃²	#585	1	1	yes	characteristic
1072	C₃×D₃	—	4	2	no	—
1073	C₃×D₃	—	4	1	no	—
1074	#41	—	6	4	no	—
1075	#41	—	6	8	no	—
1076	#41	—	6	4	no	—
1077	#41	—	6	4	no	—
1078	C₂×Q₈	—	3	1	no	—
1079	C₂×Q₈	—	3	2	no	—
1080	C₂×Q₈	—	3	1	no	—
1081	C₂×Q₈	—	3	1	no	—
1082	C₂×Q₈	—	3	2	no	—
1083	C₂×Q₈	—	6	4	no	—
1084	C₂×D₄	—	3	1	no	—
1085	C₂×D₄	—	3	2	no	—
1086	C₂×D₄	—	3	2	no	—
1087	C₂×D₄	—	3	2	no	—
1088	C₂×D₄	—	3	1	no	—
1089	C₂×D₄	—	3	2	no	—
1090	C₂×D₄	—	3	2	no	—
1091	C₂×D₄	—	3	1	no	—
1092	C₂×D₄	—	3	2	no	—
1093	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1094	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1095	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1096	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1097	C₂²×C₄	—	3	1	no	—
1098	C₂²×C₄	—	3	2	no	—
1099	C₂²×C₄	—	3	2	no	—
1100	C₂²×C₄	—	3	1	no	—
1101	C₂²×C₄	—	3	2	no	—
1102	C₂²×C₄	—	3	1	no	—
1103	C₂²×C₄	—	3	1	no	—
1104	C₂²×C₄	—	3	2	no	—
1105	C₂²×C₄	—	3	1	no	—
1106	C₂²×C₄	—	3	2	no	—
1107	C₂²×C₄	—	3	1	no	—
1108	C₂²×C₄	—	3	2	no	—
1109	C₂²×C₄	—	3	1	no	—
1110	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1113	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1114	C₄⋊C₄	—	3	2	no	—
1115	C₄⋊C₄	—	3	2	no	—
1116	C₄⋊C₄	—	3	2	no	—
1117	C₄⋊C₄	—	3	2	no	—
1118	C₄⋊C₄	—	3	1	no	—
1119	C₄⋊C₄	—	3	1	no	—
1120	C₄⋊C₄	—	3	2	no	—
1121	C₄⋊C₄	—	3	2	no	—
1122	C₄⋊C₄	—	3	1	no	—
1123	C₄⋊C₄	—	3	1	no	—
1124	C₄⋊C₄	—	3	2	no	—
1125	C₄⋊C₄	—	3	2	no	—
1126	C₄⋊C₄	—	3	2	no	—
1127	C₄⋊C₄	—	3	1	no	—
1128	C₄⋊C₄	—	3	1	no	—
1129	C₄⋊C₄	—	3	2	no	—
1130	C₄⋊C₄	—	3	2	no	—
1131	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1132	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1133	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1134	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1135	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1136	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1137	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1138	C₂²⋊C₄	—	3	1	no	—
1139	C₂²⋊C₄	—	3	1	no	—
1140	C₂²⋊C₄	—	3	2	no	—
1141	C₂²⋊C₄	—	3	2	no	—
1142	C₂²⋊C₄	—	3	2	no	—
1143	C₂²⋊C₄	—	3	2	no	—
1144	C₂²⋊C₄	—	3	2	no	—
1145	C₂²⋊C₄	—	3	1	no	—
1146	C₂²⋊C₄	—	3	2	no	—
1147	C₂²⋊C₄	—	3	2	no	—
1148	C₂²⋊C₄	—	3	2	no	—
1149	C₂²⋊C₄	—	3	1	no	—
1150	C₂²⋊C₄	—	3	2	no	—
1151	C₂²⋊C₄	—	3	2	no	—
1152	C₂²⋊C₄	—	3	2	no	—
1153	C₂²⋊C₄	—	3	2	no	—
1154	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1156	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1157	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1158	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1159	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1160	C₄²	—	3	1	no	—
1161	C₄²	—	3	1	no	—
1162	C₄²	—	3	2	no	—
1163	C₄²	—	3	1	no	—
1164	C₄²	—	3	2	no	—
1165	C₄²	—	3	1	no	—
1166	C₄²	—	3	1	no	—
1167	C₄²	—	3	2	no	—
1168	C₄²	—	3	1	no	—
1169	C₄²	—	3	2	no	—
1170	C₄²	—	3	2	no	—
1171	C₄²	—	3	1	no	—
1172	C₄²	—	3	1	no	—
1173	C₄²	—	3	2	no	—
1174	C₄²	—	3	2	no	—
1175	C₄²	—	3	1	no	—
1176	C₄²	C₂²×C₃×D₃	1	2	yes	—
1177	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1178	C₂²×C₃	—	2	1	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	1	no	—
1184	C₂²×C₃	—	2	2	no	—
1185	C₂²×C₃	—	2	2	no	—
1186	C₂²×C₃	—	2	2	no	—
1187	C₂²×C₃	—	2	1	no	—
1188	C₂²×C₃	—	2	2	no	—
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	2	no	—
1191	C₂²×C₃	—	2	1	no	—
1192	C₂²×C₃	—	2	1	no	—
1193	C₂²×C₃	—	2	2	no	—
1194	C₂²×C₃	—	2	2	no	—
1195	C₂²×C₃	—	2	1	no	—
1196	C₂²×C₃	—	4	1	no	—
1197	C₂²×C₃	—	4	1	no	—
1198	C₂²×C₃	—	4	1	no	—
1199	C₂²×C₃	—	4	2	no	—
1200	C₂²×C₃	—	4	2	no	—
1201	C₂²×C₃	—	4	1	no	—
1202	C₂²×C₃	—	4	2	no	—
1203	C₂²×C₃	—	4	1	no	—
1204	C₂²×C₃	—	6	1	no	—
1205	C₂²×C₃	—	6	2	no	—
1206	C₂²×C₃	—	6	2	no	—
1207	C₂²×C₃	—	6	1	no	—
1208	C₂²×C₃	—	6	1	no	—
1209	C₂²×C₃	—	6	2	no	—
1210	C₂²×C₃	D₃×#41	1	2	yes	—
1211	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1212	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1213	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1214	C₂×D₃	—	2	2	no	—
1215	C₂×D₃	—	2	2	no	—
1216	C₂×D₃	—	2	1	no	—
1217	C₂×D₃	—	2	1	no	—
1218	C₂×D₃	—	2	1	no	—
1219	C₂×D₃	—	2	2	no	—
1220	C₃×C₄	—	2	1	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	2	no	—
1227	C₃×C₄	—	2	1	no	—
1228	C₃×C₄	—	2	1	no	—
1229	C₃×C₄	—	2	2	no	—
1230	C₃×C₄	—	2	1	no	—
1231	C₃×C₄	—	2	2	no	—
1232	C₃×C₄	—	2	1	no	—
1233	C₃×C₄	—	2	2	no	—
1234	C₃×C₄	—	2	2	no	—
1235	C₃×C₄	—	3	2	no	—
1236	C₃×C₄	—	3	2	no	—
1237	C₃×C₄	—	3	4	no	—
1238	C₃×C₄	—	4	1	no	—
1239	C₃×C₄	—	4	1	no	—
1240	C₃×C₄	—	4	2	no	—
1241	C₃×C₄	—	4	1	no	—
1242	C₃×C₄	—	4	2	no	—
1243	C₃×C₄	—	4	2	no	—
1244	C₃×C₄	—	4	1	no	—
1245	C₃×C₄	—	6	1	no	—
1246	C₃×C₄	—	6	2	no	—
1247	C₃×C₄	—	6	1	no	—
1248	C₃×C₄	—	6	2	no	—
1249	C₃×C₄	—	6	1	no	—
1250	C₃×C₄	—	6	1	no	—
1251	C₃×C₄	—	6	1	no	—
1252	C₃×C₄	D₃×#41	1	2	yes	—
1253	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1254	Dic₃	—	2	2	no	—
1255	Dic₃	—	2	2	no	—
1256	Dic₃	—	2	1	no	—
1257	Dic₃	—	2	1	no	—
1258	Dic₃	—	2	1	no	—
1259	Dic₃	—	2	1	no	—
1260	Dic₃	—	2	1	no	—
1261	Dic₃	C₂×C₃×#41	1	2	yes	—
1262	Dic₃	C₂×C₃×#41	1	4	yes	—
1263	Dic₃	C₂×C₃×#41	1	2	yes	—
1264	C₃²	#3480	1	1	yes	characteristic, complemented, Sylow
1265	C₂³	—	3	1	no	—
1266	C₂³	—	3	2	no	—
1267	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1268	C₂³	C₂³×C₃×D₃	1	2	yes	—
1269	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1270	Q₈	—	3	4	no	—
1271	Q₈	—	6	4	no	—
1272	Q₈	—	6	2	no	—
1273	Q₈	—	6	4	no	—
1274	Q₈	—	6	2	no	—
1275	D₄	—	2	4	no	—
1276	D₄	—	2	2	no	—
1277	D₄	—	2	2	no	—
1278	D₄	—	4	2	no	—
1279	D₄	—	6	2	no	—
1280	D₄	—	6	4	no	—
1281	D₄	—	6	4	no	—
1282	D₄	—	6	4	no	—
1283	D₄	—	6	2	no	—
1284	D₄	—	6	4	no	—
1285	D₄	—	6	2	no	—
1286	D₄	—	12	2	no	—
1287	D₄	—	12	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	3	4	no	—
1291	C₂×C₄	—	3	1	no	—
1292	C₂×C₄	—	3	1	no	—
1293	C₂×C₄	—	3	2	no	—
1294	C₂×C₄	—	3	1	no	—
1295	C₂×C₄	—	3	1	no	—
1296	C₂×C₄	—	3	1	no	—
1297	C₂×C₄	—	3	2	no	—
1298	C₂×C₄	—	3	2	no	—
1299	C₂×C₄	—	3	1	no	—
1300	C₂×C₄	—	3	1	no	—
1301	C₂×C₄	—	4	2	no	—
1302	C₂×C₄	—	4	2	no	—
1303	C₂×C₄	—	6	4	no	—
1304	C₂×C₄	—	6	4	no	—
1305	C₂×C₄	—	6	2	no	—
1306	C₂×C₄	—	6	4	no	—
1307	C₂×C₄	—	6	4	no	—
1308	C₂×C₄	—	6	2	no	—
1309	C₂×C₄	—	6	4	no	—
1310	C₂×C₄	—	6	2	no	—
1311	C₂×C₄	—	12	2	no	—
1312	C₂×C₄	—	12	1	no	—
1313	C₂×C₄	—	12	1	no	—
1314	C₂×C₄	—	12	1	no	—
1315	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1316	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1317	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1318	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1319	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1320	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1321	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1322	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1323	C₂×C₃	—	2	2	no	—
1324	C₂×C₃	—	2	2	no	—
1325	C₂×C₃	—	2	1	no	—
1326	C₂×C₃	—	2	1	no	—
1327	C₂×C₃	—	2	1	no	—
1328	C₂×C₃	—	4	2	no	—
1329	C₂×C₃	—	4	2	no	—
1330	C₂×C₃	—	4	1	no	—
1331	C₂×C₃	—	4	1	no	—
1332	C₂×C₃	—	4	2	no	—
1333	C₂×C₃	—	8	1	no	—
1334	C₂×C₃	—	8	2	no	—
1335	C₂×C₃	—	12	2	no	—
1336	C₂×C₃	—	12	1	no	—
1337	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1338	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1339	C₂×C₃	#5966	1	1	yes	characteristic
1340	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1341	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1342	C₂×C₃	C₃×#585	1	1	yes	characteristic
1343	D₃	—	4	2	no	—
1344	D₃	—	4	1	no	—
1345	C₂²	—	2	1	no	—
1346	C₂²	—	2	1	no	—
1347	C₂²	—	2	1	no	—
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	6	1	no	—
1354	C₂²	—	6	2	no	—
1355	C₂²	—	6	2	no	—
1356	C₂²	—	6	1	no	—
1357	C₂²	—	6	1	no	—
1358	C₂²	—	6	2	no	—
1359	C₂²	C₃×D₃×#41	1	2	yes	—
1360	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1361	C₄	—	2	1	no	—
1362	C₄	—	2	1	no	—
1363	C₄	—	2	1	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	2	1	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	2	2	no	—
1368	C₄	—	3	2	no	—
1369	C₄	—	3	2	no	—
1370	C₄	—	3	4	no	—
1371	C₄	—	6	1	no	—
1372	C₄	—	6	2	no	—
1373	C₄	—	6	1	no	—
1374	C₄	—	6	2	no	—
1375	C₄	—	6	1	no	—
1376	C₄	—	6	1	no	—
1377	C₄	—	6	1	no	—
1378	C₄	C₃×D₃×#41	1	2	yes	—
1379	C₃	—	2	1	no	—
1380	C₃	#86875	1	1	yes	characteristic, direct product factor
1381	C₃	C₃×#3480	1	1	yes	characteristic, complemented
1382	C₂	—	2	2	no	—
1383	C₂	—	4	1	no	—
1384	C₂	—	4	2	no	—
1385	C₂	—	12	2	no	—
1386	C₂	—	12	1	no	—
1387	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1388	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1389	C₂	C₃×#5966	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#553	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#553	D₃
hypocenter	C₃	C₃×#3480
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#553

Complements

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

N	H ≅ G/N	type
1. C₃²×#553	C₂	semidirect
2. C₃×#5706	C₂	semidirect
3. C₃×#5702	C₂	semidirect
4. C₃×#5691	C₂	semidirect
5. C₃×#5685	C₂	semidirect
6. C₃×#5664	C₂	semidirect
7. C₃×#5649	C₂	semidirect
8. C₃×#5601	C₂	semidirect
9. C₃×#5600	C₂	semidirect
10. C₃×#5599	C₂	semidirect
11. C₃×#5598	C₂	semidirect
12. C₃×#5596	C₂	semidirect
13. C₃×#5596	C₂	semidirect
14. C₃×#5559	C₂	semidirect
15. C₃×#5552	C₂	semidirect
16. C₃×#5540	C₂	semidirect
17. C₃×C₄×#237	C₂	semidirect
18. C₃×C₄×#237	C₂	semidirect
19. C₃×C₄×#237	C₂	semidirect
20. C₃×#5533	C₂	semidirect
21. C₃×#5522	C₂	semidirect
22. C₃×#5514	C₂	semidirect
23. C₂×C₃×#887	C₂	semidirect
25. #86875	C₃	direct (N × H)
134. C₃×#553	D₃	semidirect
135. C₃×#553	C₂×C₃	semidirect
150. #5706	C₂×C₃	semidirect
151. #5702	C₂×C₃	semidirect
152. #5691	C₂×C₃	semidirect
153. #5685	C₂×C₃	semidirect
154. #5664	C₂×C₃	semidirect
155. #5649	C₂×C₃	semidirect
156. #5601	C₂×C₃	semidirect
157. #5600	C₂×C₃	semidirect
158. #5599	C₂×C₃	semidirect
159. #5598	C₂×C₃	semidirect
160. #5596	C₂×C₃	semidirect
161. #5596	C₂×C₃	semidirect
162. #5559	C₂×C₃	semidirect
163. #5552	C₂×C₃	semidirect
164. #5540	C₂×C₃	semidirect
165. C₄×#237	C₂×C₃	semidirect
166. C₄×#237	C₂×C₃	semidirect
167. C₄×#237	C₂×C₃	semidirect
168. #5533	C₂×C₃	semidirect
169. #5522	C₂×C₃	semidirect
170. #5514	C₂×C₃	semidirect
171. C₂×#887	C₂×C₃	semidirect
520. C₂×C₃×Dic₃	#41	semidirect
543. C₃×Dic₆	#41	semidirect
552. #553	C₃×D₃	semidirect
1042. C₂×Dic₃	C₃×#41	semidirect
1065. Dic₆	C₃×#41	semidirect
1264. C₃²	#3480	semidirect
1380. C₃	#86875	direct (N × H)
1381. C₃	C₃×#3480	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#553	2
C₃×#5706	2
C₃×#5702	2
C₃×#5691	2
C₃×#5685	2
C₃×#5664	2
C₃×#5649	2
C₃×#5601	2
C₃×#5600	2
C₃×#5599	2
C₃×#5598	2
C₃×#5596	2
C₃×#5559	2
C₃×#5552	2
C₃×#5540	2
C₃×C₄×#237	2
C₃×#5533	2
C₃×#5522	2
C₃×#5514	2
C₂×C₃×#887	2
C₃×#3480	3
#86875	3

Subgroups — C3×#86875 #11903863

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86875 #11903863