Subgroups — C₃×#86310 #11910494

Order 1152.

2845 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#534	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5805	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₄×#67	C₂	1	2	yes	maximal, complemented
4	C₂×C₃×#937	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5666	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5659	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5658	C₂	1	2	yes	maximal, complemented
8	C₃×#5657	C₂	1	2	yes	maximal, complemented
9	C₃×#5654	C₂	1	2	yes	maximal, complemented
10	C₃×#5620	C₂	1	2	yes	maximal, complemented
11	C₃×#5613	C₂	1	2	yes	maximal, complemented
12	C₃×#5612	C₂	1	2	yes	maximal, complemented
13	C₃×#5607	C₂	1	2	yes	maximal, complemented
14	C₃×#5594	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5593	C₂	1	2	yes	maximal, complemented
16	C₃×#5590	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5589	C₂	1	2	yes	maximal, complemented
18	C₃×D₃×#120	C₂	1	2	yes	maximal, complemented
19	C₃×#5490	C₂	1	2	yes	maximal, complemented
20	C₃×#3532	—	3	1	no	maximal
21	#86310	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
24	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₃×#67	C₂²	1	2	yes	complemented
26	C₂²×C₃×#67	C₂²	1	2	yes	complemented
27	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
28	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
29	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
30	C₂×C₃×#235	C₂²	1	2	yes	complemented
31	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
32	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
33	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
34	C₃²×#123	C₂²	1	2	yes	complemented
35	C₃²×#121	C₂²	1	2	yes	complemented
36	C₃²×#121	C₂²	1	2	yes	complemented
37	C₃²×#120	C₂²	1	2	yes	complemented
38	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
39	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
41	C₃×#953	C₂²	1	2	yes	complemented
42	C₃×#953	C₂²	1	2	yes	complemented
43	C₃×#953	C₂²	1	2	yes	complemented
44	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
45	C₃×#940	C₂²	1	2	yes	complemented
46	C₃×#940	C₂²	1	1	yes	characteristic, complemented
47	C₃×#940	C₂²	1	1	yes	characteristic, complemented
48	C₃×#939	C₂²	1	2	yes	complemented
49	C₃×#939	C₂²	1	2	yes	complemented
50	C₃×#939	C₂²	1	2	yes	complemented
51	C₃×#938	C₂²	1	2	yes	complemented
52	C₃×#938	C₂²	1	2	yes	complemented
53	C₃×#938	C₂²	1	2	yes	complemented
54	C₃×#938	C₂²	1	2	yes	complemented
55	C₃×#937	C₂²	1	1	yes	characteristic
56	C₃×#937	C₂²	1	2	yes	—
57	C₃×#937	C₂²	1	2	yes	complemented
58	C₃×#937	C₂²	1	1	yes	characteristic, complemented
59	C₃×#937	C₂²	1	2	yes	complemented
60	C₃×#937	C₂²	1	1	yes	characteristic, complemented
61	C₃×#937	C₂²	1	1	yes	characteristic, complemented
62	C₃×#937	C₂²	1	2	yes	complemented
63	C₃×#937	C₂²	1	2	yes	complemented
64	C₃×#937	C₂²	1	2	yes	complemented
65	C₃×#936	C₂²	1	1	yes	characteristic, complemented
66	C₃×#936	C₂²	1	1	yes	characteristic, complemented
67	C₃×#936	C₂²	1	2	yes	complemented
68	C₃×#935	C₂²	1	2	yes	complemented
69	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
70	C₃×#930	C₂²	1	2	yes	complemented
71	C₃×#930	C₂²	1	2	yes	complemented
72	C₃×#929	C₂²	1	2	yes	complemented
73	C₃×C₄×#67	C₂²	1	2	yes	complemented
74	C₃×C₄×#67	C₂²	1	2	yes	complemented
75	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
76	C₃×#926	C₂²	1	1	yes	characteristic, complemented
77	C₃×#898	C₂²	1	2	yes	complemented
78	C₃×#898	C₂²	1	2	yes	complemented
79	C₃×#897	C₂²	1	2	yes	complemented
80	C₃×#896	C₂²	1	2	yes	complemented
81	C₃×#895	C₂²	1	2	yes	complemented
82	C₃×#894	C₂²	1	2	yes	complemented
83	C₃×#893	C₂²	1	2	yes	complemented
84	C₃×#892	C₂²	1	2	yes	complemented
85	C₃×#886	C₂²	1	2	yes	complemented
86	C₃×#885	C₂²	1	2	yes	complemented
87	C₃×#885	C₂²	1	2	yes	complemented
88	C₃×#885	C₂²	1	2	yes	complemented
89	C₃×#885	C₂²	1	2	yes	complemented
90	C₃×#884	C₂²	1	2	yes	complemented
91	C₃×#884	C₂²	1	2	yes	complemented
92	C₃×#884	C₂²	1	2	yes	complemented
93	C₃×#883	C₂²	1	2	yes	complemented
94	C₃×#883	C₂²	1	2	yes	complemented
95	C₃×#883	C₂²	1	2	yes	complemented
96	C₃×#882	C₂²	1	2	yes	complemented
97	C₃×#882	C₂²	1	2	yes	complemented
98	C₃×#882	C₂²	1	2	yes	complemented
99	C₃×#882	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×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
103	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
104	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
106	C₃×#879	C₂²	1	2	yes	complemented
107	C₃×#879	C₂²	1	2	yes	complemented
108	C₃×#878	C₂²	1	2	yes	complemented
109	C₃×H(3,𝔽₄)	—	3	1	no	—
110	C₃×#560	—	3	1	no	—
111	C₃×#560	—	3	2	no	—
112	C₃×#551	—	3	2	no	—
113	C₃×#551	—	3	1	no	—
114	C₃×#546	—	3	2	no	—
115	C₃×#546	—	3	2	no	—
116	C₃×#546	—	3	2	no	—
117	C₃×D₄²	—	3	2	no	—
118	C₃×D₄²	—	3	1	no	—
119	C₃×#538	—	3	2	no	—
120	C₃×#538	—	3	2	no	—
121	C₃×#538	—	3	2	no	—
122	C₃×#535	—	3	1	no	—
123	C₃×#535	—	3	2	no	—
124	C₃×#534	—	2	1	no	—
125	C₃×#534	—	3	2	no	—
126	C₃×#534	D₃	1	1	yes	characteristic, complemented
127	C₃×#534	C₂×C₃	1	1	yes	characteristic, complemented
128	C₂×C₃×#120	—	3	1	no	—
129	C₂×C₃×#120	—	3	2	no	—
130	#5805	C₂×C₃	1	1	yes	characteristic, complemented
131	D₄×#67	C₂×C₃	1	2	yes	complemented
132	C₂×#937	C₂×C₃	1	1	yes	characteristic, complemented
133	#5666	C₂×C₃	1	1	yes	characteristic, complemented
134	#5659	C₂×C₃	1	1	yes	characteristic, complemented
135	#5658	C₂×C₃	1	2	yes	complemented
136	#5657	C₂×C₃	1	2	yes	complemented
137	#5654	C₂×C₃	1	2	yes	complemented
138	#5620	C₂×C₃	1	2	yes	complemented
139	#5613	C₂×C₃	1	2	yes	complemented
140	#5612	C₂×C₃	1	2	yes	complemented
141	#5607	C₂×C₃	1	2	yes	complemented
142	#5594	C₂×C₃	1	1	yes	characteristic, complemented
143	#5593	C₂×C₃	1	2	yes	complemented
144	#5590	C₂×C₃	1	1	yes	characteristic, complemented
145	#5589	C₂×C₃	1	2	yes	complemented
146	D₃×#120	C₂×C₃	1	2	yes	complemented
147	#5490	C₂×C₃	1	2	yes	complemented
148	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
149	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
150	C₂⁴×C₃²	C₂³	1	1	yes	characteristic, complemented
151	C₂³×C₃×D₃	—	4	4	no	—
152	C₂³×C₃×D₃	—	4	2	no	—
153	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
154	C₂³×C₃×D₃	C₂³	1	2	yes	—
155	C₂³×C₃×D₃	C₂³	1	2	yes	—
156	C₂³×C₃×D₃	C₂³	1	2	yes	—
157	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
158	C₂×C₃²×D₄	—	4	2	no	—
159	C₂×C₃²×D₄	—	4	2	no	—
160	C₂×C₃²×D₄	C₂³	1	2	yes	—
161	C₂×C₃²×D₄	C₂³	1	2	yes	—
162	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
163	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
164	C₂×C₃²×D₄	C₂³	1	2	yes	—
165	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
166	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
167	C₂×C₃²×D₄	C₂³	1	2	yes	complemented
168	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
169	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
170	C₂²×C₃²×C₄	C₂³	1	2	yes	complemented
171	C₂×C₃×#67	—	4	4	no	—
172	C₂×C₃×#67	—	4	4	no	—
173	C₂×C₃×#67	C₂³	1	2	yes	—
174	C₂×C₃×#67	C₂³	1	2	yes	—
175	C₂×C₃×#67	C₂³	1	2	yes	—
176	C₂×C₃×#67	C₂³	1	2	yes	—
177	C₂×C₃×#67	C₂³	1	2	yes	—
178	C₂×C₃×#67	C₂³	1	2	yes	—
179	C₂×C₃×#67	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	2	yes	complemented
184	C₂×C₃×#67	C₂³	1	2	yes	complemented
185	C₂×C₃×#67	C₂³	1	2	yes	complemented
186	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
187	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
188	C₃×D₃×D₄	—	4	4	no	—
189	C₃×D₃×D₄	—	4	4	no	—
190	C₃×D₃×D₄	—	4	4	no	—
191	C₃×#235	—	4	4	no	—
192	C₃×#235	—	4	2	no	—
193	C₂×C₃×D₁₂	C₂³	1	2	yes	—
194	C₂×C₃×D₁₂	C₂³	1	2	yes	—
195	C₂×C₃×D₁₂	C₂³	1	2	yes	—
196	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
197	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
198	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
199	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
200	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
201	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
202	C₂×C₃×Dic₆	C₂³	1	2	yes	complemented
203	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
204	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
205	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
206	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
210	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
211	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
212	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
213	C₃×#217	C₂³	1	2	yes	—
214	C₃×#217	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	1	yes	characteristic
219	C₃×#217	C₂³	1	2	yes	complemented
220	C₃×#217	C₂³	1	2	yes	complemented
221	C₃×#217	C₂³	1	2	yes	complemented
222	C₃×#217	C₂³	1	2	yes	complemented
223	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
224	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
225	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
226	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
227	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
228	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
229	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
230	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
231	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
232	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
233	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
234	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
235	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
236	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
237	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
238	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
239	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
240	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
241	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
242	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
243	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
244	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
245	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
246	#3532	—	3	1	no	Sylow
247	C₂⁵×C₃	—	3	1	no	—
248	C₂⁴×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
249	C₂×C₃×#41	—	3	1	no	—
250	C₂×C₃×#41	—	3	2	no	—
251	C₂²×C₃×D₄	—	2	1	no	—
252	C₂²×C₃×D₄	—	2	1	no	—
253	C₂²×C₃×D₄	—	3	2	no	—
254	C₂²×C₃×D₄	—	3	2	no	—
255	C₂²×C₃×D₄	—	3	2	no	—
256	C₂²×C₃×D₄	—	3	2	no	—
257	C₂²×C₃×D₄	—	3	2	no	—
258	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
259	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
260	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
261	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
262	C₂²×#67	C₂²×C₃	1	2	yes	complemented
263	C₂²×#67	C₂²×C₃	1	2	yes	complemented
264	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
265	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
266	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
267	C₂×#235	C₂²×C₃	1	2	yes	complemented
268	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
269	C₃×#127	—	3	1	no	—
270	C₃×#127	—	3	1	no	—
271	C₃×#127	—	3	2	no	—
272	C₃×#126	—	3	2	no	—
273	C₃×#126	—	3	2	no	—
274	C₃×#126	—	3	2	no	—
275	C₃×#126	—	3	2	no	—
276	C₃×#124	—	3	1	no	—
277	C₃×#124	—	3	2	no	—
278	C₃×#124	—	3	1	no	—
279	C₃×#124	—	3	2	no	—
280	C₃×#124	—	3	2	no	—
281	C₃×#124	—	3	2	no	—
282	C₃×#124	—	3	2	no	—
283	C₃×#123	—	2	1	no	—
284	C₃×#123	—	2	1	no	—
285	C₃×#123	—	2	2	no	—
286	C₃×#123	—	3	2	no	—
287	C₃×#123	—	3	2	no	—
288	C₃×#123	—	3	2	no	—
289	C₃×#123	—	3	2	no	—
290	C₃×#123	—	3	2	no	—
291	C₃×#123	—	3	2	no	—
292	C₃×#123	—	3	2	no	—
293	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
294	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
295	C₃×#123	C₂×D₃	1	2	yes	complemented
296	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
297	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
298	C₃×#123	C₂²×C₃	1	2	yes	complemented
299	C₃×C₂²⋊Q₈	—	3	2	no	—
300	C₃×C₂²⋊Q₈	—	3	2	no	—
301	C₃×C₂²⋊Q₈	—	3	2	no	—
302	C₃×#121	—	2	2	no	—
303	C₃×#121	—	2	2	no	—
304	C₃×#121	—	3	2	no	—
305	C₃×#121	—	3	2	no	—
306	C₃×#121	—	3	2	no	—
307	C₃×#121	—	3	2	no	—
308	C₃×#121	—	3	2	no	—
309	C₃×#121	—	3	2	no	—
310	C₃×#121	—	3	2	no	—
311	C₃×#121	—	3	2	no	—
312	C₃×#121	—	3	2	no	—
313	C₃×#121	—	3	2	no	—
314	C₃×#121	—	3	2	no	—
315	C₃×#121	—	3	2	no	—
316	C₃×#121	—	3	2	no	—
317	C₃×#121	C₂×D₃	1	2	yes	complemented
318	C₃×#121	C₂×D₃	1	2	yes	complemented
319	C₃×#121	C₂²×C₃	1	2	yes	complemented
320	C₃×#121	C₂²×C₃	1	2	yes	complemented
321	C₃×#120	—	2	2	no	—
322	C₃×#120	—	2	1	no	—
323	C₃×#120	—	2	1	no	—
324	C₃×#120	—	3	2	no	—
325	C₃×#120	—	3	2	no	—
326	C₃×#120	—	3	2	no	—
327	C₃×#120	—	3	1	no	—
328	C₃×#120	—	3	2	no	—
329	C₃×#120	—	3	1	no	—
330	C₃×#120	—	3	2	no	—
331	C₃×#120	—	3	1	no	—
332	C₃×#120	—	3	2	no	—
333	C₃×#120	—	3	2	no	—
334	C₃×#120	—	3	2	no	—
335	C₃×#120	—	3	1	no	—
336	C₃×#120	—	3	2	no	—
337	C₃×#120	—	3	2	no	—
338	C₃×#120	—	3	2	no	—
339	C₃×#120	—	3	2	no	—
340	C₃×#120	—	3	2	no	—
341	C₃×#120	C₂×D₃	1	2	yes	complemented
342	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
343	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
344	C₃×#120	C₂²×C₃	1	2	yes	complemented
345	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
346	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₃×C₄×D₄	—	3	2	no	—
348	C₃×C₄×D₄	—	3	2	no	—
349	C₃×C₄×D₄	—	3	2	no	—
350	C₃×C₄×D₄	—	3	2	no	—
351	C₃×C₄×D₄	—	3	2	no	—
352	C₃×C₄×D₄	—	3	2	no	—
353	C₃×#117	—	3	1	no	—
354	C₃×#117	—	3	2	no	—
355	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
356	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
357	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
358	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
359	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
360	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
361	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
362	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
363	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
364	#953	C₂²×C₃	1	2	yes	complemented
365	#953	C₂²×C₃	1	2	yes	complemented
366	#953	C₂²×C₃	1	2	yes	complemented
367	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
368	#940	C₂²×C₃	1	2	yes	complemented
369	#940	C₂²×C₃	1	1	yes	characteristic, complemented
370	#940	C₂²×C₃	1	1	yes	characteristic, complemented
371	#939	C₂²×C₃	1	2	yes	complemented
372	#939	C₂²×C₃	1	2	yes	complemented
373	#939	C₂²×C₃	1	2	yes	complemented
374	#938	C₂²×C₃	1	2	yes	complemented
375	#938	C₂²×C₃	1	2	yes	complemented
376	#938	C₂²×C₃	1	2	yes	complemented
377	#938	C₂²×C₃	1	2	yes	complemented
378	#937	C₂²×C₃	1	2	yes	—
379	#937	C₂²×C₃	1	1	yes	characteristic
380	#937	C₂²×C₃	1	2	yes	complemented
381	#937	C₂²×C₃	1	1	yes	characteristic, complemented
382	#937	C₂²×C₃	1	2	yes	complemented
383	#937	C₂²×C₃	1	1	yes	characteristic, complemented
384	#937	C₂²×C₃	1	1	yes	characteristic, complemented
385	#937	C₂²×C₃	1	2	yes	complemented
386	#937	C₂²×C₃	1	2	yes	complemented
387	#937	C₂²×C₃	1	2	yes	complemented
388	#936	C₂²×C₃	1	1	yes	characteristic, complemented
389	#936	C₂²×C₃	1	1	yes	characteristic, complemented
390	#936	C₂²×C₃	1	2	yes	complemented
391	#935	C₂²×C₃	1	2	yes	complemented
392	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
393	#930	C₂²×C₃	1	2	yes	complemented
394	#930	C₂²×C₃	1	2	yes	complemented
395	#929	C₂²×C₃	1	2	yes	complemented
396	C₄×#67	C₂²×C₃	1	2	yes	complemented
397	C₄×#67	C₂²×C₃	1	2	yes	complemented
398	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
399	#926	C₂²×C₃	1	1	yes	characteristic, complemented
400	#898	C₂²×C₃	1	2	yes	complemented
401	#898	C₂²×C₃	1	2	yes	complemented
402	#897	C₂²×C₃	1	2	yes	complemented
403	#896	C₂²×C₃	1	2	yes	complemented
404	#895	C₂²×C₃	1	2	yes	complemented
405	#894	C₂²×C₃	1	2	yes	complemented
406	#893	C₂²×C₃	1	2	yes	complemented
407	#892	C₂²×C₃	1	2	yes	complemented
408	#886	C₂²×C₃	1	2	yes	complemented
409	#885	C₂²×C₃	1	2	yes	complemented
410	#885	C₂²×C₃	1	2	yes	complemented
411	#885	C₂²×C₃	1	2	yes	complemented
412	#885	C₂²×C₃	1	2	yes	complemented
413	#884	C₂²×C₃	1	2	yes	complemented
414	#884	C₂²×C₃	1	2	yes	complemented
415	#884	C₂²×C₃	1	2	yes	complemented
416	#883	C₂²×C₃	1	2	yes	complemented
417	#883	C₂²×C₃	1	2	yes	complemented
418	#883	C₂²×C₃	1	2	yes	complemented
419	#882	C₂²×C₃	1	2	yes	complemented
420	#882	C₂²×C₃	1	2	yes	complemented
421	#882	C₂²×C₃	1	2	yes	complemented
422	#882	C₂²×C₃	1	2	yes	complemented
423	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
424	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
425	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
426	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
427	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
428	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
429	#879	C₂²×C₃	1	2	yes	complemented
430	#879	C₂²×C₃	1	2	yes	complemented
431	#878	C₂²×C₃	1	2	yes	complemented
432	C₂³×C₃²	—	2	2	no	—
433	C₂³×C₃²	—	2	2	no	—
434	C₂³×C₃²	—	4	1	no	—
435	C₂³×C₃²	—	4	2	no	—
436	C₂³×C₃²	—	4	2	no	—
437	C₂³×C₃²	—	4	2	no	—
438	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
439	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
440	C₂³×C₃²	C₂⁴	1	2	yes	—
441	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
442	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
443	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
444	C₂²×C₃×D₃	—	2	4	no	—
445	C₂²×C₃×D₃	—	2	4	no	—
446	C₂²×C₃×D₃	—	2	4	no	—
447	C₂²×C₃×D₃	—	2	4	no	—
448	C₂²×C₃×D₃	—	2	4	no	—
449	C₂²×C₃×D₃	—	4	1	no	—
450	C₂²×C₃×D₃	—	4	2	no	—
451	C₂²×C₃×D₃	—	4	2	no	—
452	C₂²×C₃×D₃	—	4	2	no	—
453	C₂²×C₃×D₃	—	4	1	no	—
454	C₂²×C₃×D₃	—	4	2	no	—
455	C₂²×C₃×D₃	—	4	2	no	—
456	C₂²×C₃×D₃	—	4	2	no	—
457	C₂²×C₃×D₃	—	4	16	no	—
458	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
459	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
460	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
461	C₃²×D₄	—	2	4	no	—
462	C₃²×D₄	—	4	1	no	—
463	C₃²×D₄	—	4	1	no	—
464	C₃²×D₄	—	4	1	no	—
465	C₃²×D₄	—	4	1	no	—
466	C₃²×D₄	—	4	2	no	—
467	C₃²×D₄	—	4	2	no	—
468	C₃²×D₄	—	4	2	no	—
469	C₂×C₃²×C₄	—	2	2	no	—
470	C₂×C₃²×C₄	—	4	1	no	—
471	C₂×C₃²×C₄	—	4	2	no	—
472	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
473	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
474	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
475	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
476	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
477	C₃×#67	—	2	4	no	—
478	C₃×#67	—	2	4	no	—
479	C₃×#67	—	2	4	no	—
480	C₃×#67	—	2	4	no	—
481	C₃×#67	—	4	2	no	—
482	C₃×#67	—	4	2	no	—
483	C₃×#67	—	4	2	no	—
484	C₃×#67	—	4	2	no	—
485	C₃×#67	—	4	2	no	—
486	C₃×#67	—	4	2	no	—
487	C₃×#67	—	4	2	no	—
488	C₃×#67	—	4	2	no	—
489	C₃×#67	—	4	2	no	—
490	C₂×C₃×Dic₃	—	4	2	no	—
491	C₂×C₃×Dic₃	—	4	2	no	—
492	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
493	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
494	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
495	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
496	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
497	C₃×D₁₂	—	2	4	no	—
498	C₃×D₁₂	—	4	2	no	—
499	C₃×D₁₂	—	4	2	no	—
500	C₃×D₁₂	—	4	1	no	—
501	C₃×C₄×D₃	—	2	4	no	—
502	C₃×C₄×D₃	—	4	2	no	—
503	C₃×C₄×D₃	—	4	2	no	—
504	C₃×C₄×D₃	—	4	2	no	—
505	C₃×C₄×D₃	—	4	2	no	—
506	C₃×Dic₆	—	4	2	no	—
507	C₃×Dic₆	—	4	1	no	—
508	H(3,𝔽₄)	—	3	1	no	—
509	#560	—	3	1	no	—
510	#560	—	3	2	no	—
511	#551	—	3	2	no	—
512	#551	—	3	1	no	—
513	#546	—	3	2	no	—
514	#546	—	3	2	no	—
515	#546	—	3	2	no	—
516	D₄²	—	3	2	no	—
517	D₄²	—	3	1	no	—
518	#538	—	3	2	no	—
519	#538	—	3	2	no	—
520	#538	—	3	2	no	—
521	#535	—	3	1	no	—
522	#535	—	3	2	no	—
523	#534	—	3	2	no	—
524	#534	C₃×D₃	1	1	yes	characteristic, complemented
525	C₂×#120	—	3	1	no	—
526	C₂×#120	—	3	2	no	—
527	C₂⁴×C₃	—	2	1	no	—
528	C₂⁴×C₃	—	2	1	no	—
529	C₂⁴×C₃	—	2	1	no	—
530	C₂⁴×C₃	—	3	1	no	—
531	C₂⁴×C₃	—	3	2	no	—
532	C₂⁴×C₃	—	3	2	no	—
533	C₂⁴×C₃	—	3	2	no	—
534	C₂⁴×C₃	—	3	1	no	—
535	C₂⁴×C₃	—	12	2	no	—
536	C₂⁴×C₃	—	12	4	no	—
537	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
538	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
539	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic, complemented
540	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
541	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
542	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic, complemented
543	C₂³×D₃	—	4	4	no	—
544	C₂³×D₃	—	4	2	no	—
545	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
546	C₂³×D₃	C₂³×C₃	1	2	yes	—
547	C₂³×D₃	C₂³×C₃	1	2	yes	—
548	C₂³×D₃	C₂³×C₃	1	2	yes	—
549	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
550	C₃×#41	—	12	2	no	—
551	C₃×#41	—	12	4	no	—
552	C₂×C₃×Q₈	—	3	2	no	—
553	C₂×C₃×Q₈	—	3	1	no	—
554	C₂×C₃×D₄	—	2	2	no	—
555	C₂×C₃×D₄	—	2	1	no	—
556	C₂×C₃×D₄	—	2	1	no	—
557	C₂×C₃×D₄	—	2	1	no	—
558	C₂×C₃×D₄	—	2	1	no	—
559	C₂×C₃×D₄	—	2	2	no	—
560	C₂×C₃×D₄	—	2	2	no	—
561	C₂×C₃×D₄	—	2	2	no	—
562	C₂×C₃×D₄	—	3	2	no	—
563	C₂×C₃×D₄	—	3	2	no	—
564	C₂×C₃×D₄	—	3	2	no	—
565	C₂×C₃×D₄	—	3	2	no	—
566	C₂×C₃×D₄	—	3	2	no	—
567	C₂×C₃×D₄	—	3	2	no	—
568	C₂×C₃×D₄	—	3	2	no	—
569	C₂×C₃×D₄	—	3	2	no	—
570	C₂×C₃×D₄	—	3	2	no	—
571	C₂×C₃×D₄	—	3	2	no	—
572	C₂×C₃×D₄	—	3	2	no	—
573	C₂×C₃×D₄	—	3	2	no	—
574	C₂×C₃×D₄	—	3	2	no	—
575	C₂×C₃×D₄	—	3	2	no	—
576	C₂×C₃×D₄	—	3	2	no	—
577	C₂×C₃×D₄	—	3	2	no	—
578	C₂×C₃×D₄	—	3	1	no	—
579	C₂×C₃×D₄	—	4	2	no	—
580	C₂×C₃×D₄	—	4	2	no	—
581	C₂×C₃×D₄	—	4	2	no	—
582	C₂×C₃×D₄	—	4	2	no	—
583	C₂×C₃×D₄	—	4	4	no	—
584	C₂×C₃×D₄	—	4	4	no	—
585	C₂×C₃×D₄	—	12	4	no	—
586	C₂×C₃×D₄	—	12	4	no	—
587	C₂×C₃×D₄	—	12	4	no	—
588	C₂×C₃×D₄	—	12	4	no	—
589	C₂×C₃×D₄	—	12	4	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	1	yes	characteristic
594	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
595	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
596	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
597	C₂×C₃×D₄	C₂²×D₃	1	2	yes	complemented
598	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
599	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
600	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
601	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
602	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
603	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
604	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
605	C₂×C₃×D₄	C₂³×C₃	1	2	yes	complemented
606	C₂²×C₃×C₄	—	2	1	no	—
607	C₂²×C₃×C₄	—	2	1	no	—
608	C₂²×C₃×C₄	—	2	2	no	—
609	C₂²×C₃×C₄	—	3	2	no	—
610	C₂²×C₃×C₄	—	3	2	no	—
611	C₂²×C₃×C₄	—	3	2	no	—
612	C₂²×C₃×C₄	—	3	2	no	—
613	C₂²×C₃×C₄	—	3	2	no	—
614	C₂²×C₃×C₄	—	3	2	no	—
615	C₂²×C₃×C₄	—	3	2	no	—
616	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
617	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	complemented
618	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
619	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
621	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	complemented
622	C₂×#67	—	4	4	no	—
623	C₂×#67	—	4	4	no	—
624	C₂×#67	C₂³×C₃	1	2	yes	—
625	C₂×#67	C₂³×C₃	1	2	yes	—
626	C₂×#67	C₂³×C₃	1	2	yes	—
627	C₂×#67	C₂³×C₃	1	2	yes	—
628	C₂×#67	C₂³×C₃	1	2	yes	—
629	C₂×#67	C₂³×C₃	1	2	yes	—
630	C₂×#67	C₂³×C₃	1	2	yes	—
631	C₂×#67	C₂³×C₃	1	2	yes	—
632	C₂×#67	C₂³×C₃	1	2	yes	—
633	C₂×#67	C₂³×C₃	1	2	yes	—
634	C₂×#67	C₂³×C₃	1	2	yes	complemented
635	C₂×#67	C₂³×C₃	1	2	yes	complemented
636	C₂×#67	C₂³×C₃	1	2	yes	complemented
637	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
638	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
639	D₃×D₄	—	4	4	no	—
640	D₃×D₄	—	4	4	no	—
641	D₃×D₄	—	4	4	no	—
642	#235	—	4	4	no	—
643	#235	—	4	2	no	—
644	C₂×D₁₂	C₂³×C₃	1	2	yes	—
645	C₂×D₁₂	C₂³×C₃	1	2	yes	—
646	C₂×D₁₂	C₂³×C₃	1	2	yes	—
647	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
648	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
649	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
650	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
651	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
652	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
653	C₂×Dic₆	C₂³×C₃	1	2	yes	complemented
654	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
655	C₃×C₄⋊C₄	—	2	2	no	—
656	C₃×C₄⋊C₄	—	2	2	no	—
657	C₃×C₄⋊C₄	—	3	2	no	—
658	C₃×C₄⋊C₄	—	3	2	no	—
659	C₃×C₄⋊C₄	—	3	2	no	—
660	C₃×C₄⋊C₄	—	3	2	no	—
661	C₃×C₄⋊C₄	—	3	2	no	—
662	C₃×C₄⋊C₄	—	3	2	no	—
663	C₃×C₄⋊C₄	—	3	2	no	—
664	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
665	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
666	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
667	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
668	C₃×C₂²⋊C₄	—	2	2	no	—
669	C₃×C₂²⋊C₄	—	2	2	no	—
670	C₃×C₂²⋊C₄	—	2	2	no	—
671	C₃×C₂²⋊C₄	—	2	1	no	—
672	C₃×C₂²⋊C₄	—	2	1	no	—
673	C₃×C₂²⋊C₄	—	2	2	no	—
674	C₃×C₂²⋊C₄	—	2	2	no	—
675	C₃×C₂²⋊C₄	—	3	2	no	—
676	C₃×C₂²⋊C₄	—	3	1	no	—
677	C₃×C₂²⋊C₄	—	3	2	no	—
678	C₃×C₂²⋊C₄	—	3	2	no	—
679	C₃×C₂²⋊C₄	—	3	2	no	—
680	C₃×C₂²⋊C₄	—	3	1	no	—
681	C₃×C₂²⋊C₄	—	3	2	no	—
682	C₃×C₂²⋊C₄	—	3	2	no	—
683	C₃×C₂²⋊C₄	—	3	2	no	—
684	C₃×C₂²⋊C₄	—	3	2	no	—
685	C₃×C₂²⋊C₄	—	3	2	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	2	no	—
695	C₃×C₂²⋊C₄	—	3	2	no	—
696	C₃×C₂²⋊C₄	—	3	2	no	—
697	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
698	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
699	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
700	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
701	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
702	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
703	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
704	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
705	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
706	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
707	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
708	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
709	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
710	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
711	C₃×C₄²	—	3	1	no	—
712	C₃×C₄²	—	3	2	no	—
713	C₃×C₄²	—	3	1	no	—
714	C₃×C₄²	—	3	2	no	—
715	#217	C₂³×C₃	1	2	yes	—
716	#217	C₂³×C₃	1	1	yes	characteristic
717	#217	C₂³×C₃	1	2	yes	—
718	#217	C₂³×C₃	1	2	yes	—
719	#217	C₂³×C₃	1	2	yes	—
720	#217	C₂³×C₃	1	1	yes	characteristic
721	#217	C₂³×C₃	1	2	yes	complemented
722	#217	C₂³×C₃	1	2	yes	complemented
723	#217	C₂³×C₃	1	2	yes	complemented
724	#217	C₂³×C₃	1	2	yes	complemented
725	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
726	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
727	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
728	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
729	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
730	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
731	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
732	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
733	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
734	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
735	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
736	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
737	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
738	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
739	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
740	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
741	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
742	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
743	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
744	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
745	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
746	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
747	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
748	C₂²×C₃²	—	2	1	no	—
749	C₂²×C₃²	—	2	1	no	—
750	C₂²×C₃²	—	2	2	no	—
751	C₂²×C₃²	—	2	2	no	—
752	C₂²×C₃²	—	2	2	no	—
753	C₂²×C₃²	—	2	2	no	—
754	C₂²×C₃²	—	2	2	no	—
755	C₂²×C₃²	—	2	2	no	—
756	C₂²×C₃²	—	2	2	no	—
757	C₂²×C₃²	—	2	2	no	—
758	C₂²×C₃²	—	2	1	no	—
759	C₂²×C₃²	—	2	1	no	—
760	C₂²×C₃²	—	4	4	no	—
761	C₂²×C₃²	—	8	2	no	—
762	C₂²×C₃²	—	8	2	no	—
763	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
764	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
765	C₂×C₃×D₃	—	2	2	no	—
766	C₂×C₃×D₃	—	2	2	no	—
767	C₂×C₃×D₃	—	2	2	no	—
768	C₂×C₃×D₃	—	2	2	no	—
769	C₂×C₃×D₃	—	2	2	no	—
770	C₂×C₃×D₃	—	2	2	no	—
771	C₂×C₃×D₃	—	2	2	no	—
772	C₂×C₃×D₃	—	2	2	no	—
773	C₂×C₃×D₃	—	4	4	no	—
774	C₂×C₃×D₃	—	4	8	no	—
775	C₂×C₃×D₃	—	4	8	no	—
776	C₂×C₃×D₃	—	4	4	no	—
777	C₂×C₃×D₃	—	8	4	no	—
778	C₂×C₃×D₃	H(5,𝔽₂)	1	4	yes	—
779	C₃²×C₄	—	2	2	no	—
780	C₃²×C₄	—	2	1	no	—
781	C₃²×C₄	—	2	2	no	—
782	C₃²×C₄	—	2	1	no	—
783	C₃²×C₄	—	2	2	no	—
784	C₃×Dic₃	—	2	2	no	—
785	C₃×Dic₃	—	2	2	no	—
786	C₃×Dic₃	—	2	2	no	—
787	C₃×Dic₃	—	2	2	no	—
788	C₃×Dic₃	—	2	2	no	—
789	C₂⁵	—	3	1	no	—
790	C₂×#41	—	3	1	no	—
791	C₂×#41	—	3	2	no	—
792	C₂²×D₄	—	3	2	no	—
793	C₂²×D₄	—	3	2	no	—
794	C₂²×D₄	—	3	2	no	—
795	C₂²×D₄	—	3	2	no	—
796	C₂²×D₄	—	3	2	no	—
797	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
798	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
799	#127	—	3	1	no	—
800	#127	—	3	1	no	—
801	#127	—	3	2	no	—
802	#126	—	3	2	no	—
803	#126	—	3	2	no	—
804	#126	—	3	2	no	—
805	#126	—	3	2	no	—
806	#124	—	3	1	no	—
807	#124	—	3	1	no	—
808	#124	—	3	2	no	—
809	#124	—	3	2	no	—
810	#124	—	3	2	no	—
811	#124	—	3	2	no	—
812	#124	—	3	2	no	—
813	#123	—	3	2	no	—
814	#123	—	3	2	no	—
815	#123	—	3	2	no	—
816	#123	—	3	2	no	—
817	#123	—	3	2	no	—
818	#123	—	3	2	no	—
819	#123	—	3	2	no	—
820	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
821	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
822	#123	C₂×C₃×D₃	1	2	yes	complemented
823	C₂²⋊Q₈	—	3	2	no	—
824	C₂²⋊Q₈	—	3	2	no	—
825	C₂²⋊Q₈	—	3	2	no	—
826	#121	—	3	2	no	—
827	#121	—	3	2	no	—
828	#121	—	3	2	no	—
829	#121	—	3	2	no	—
830	#121	—	3	2	no	—
831	#121	—	3	2	no	—
832	#121	—	3	2	no	—
833	#121	—	3	2	no	—
834	#121	—	3	2	no	—
835	#121	—	3	2	no	—
836	#121	—	3	2	no	—
837	#121	—	3	2	no	—
838	#121	—	3	2	no	—
839	#121	C₂×C₃×D₃	1	2	yes	complemented
840	#121	C₂×C₃×D₃	1	2	yes	complemented
841	#120	—	3	2	no	—
842	#120	—	3	2	no	—
843	#120	—	3	2	no	—
844	#120	—	3	2	no	—
845	#120	—	3	2	no	—
846	#120	—	3	2	no	—
847	#120	—	3	2	no	—
848	#120	—	3	1	no	—
849	#120	—	3	1	no	—
850	#120	—	3	1	no	—
851	#120	—	3	2	no	—
852	#120	—	3	1	no	—
853	#120	—	3	2	no	—
854	#120	—	3	2	no	—
855	#120	—	3	2	no	—
856	#120	—	3	2	no	—
857	#120	—	3	2	no	—
858	#120	C₂×C₃×D₃	1	2	yes	complemented
859	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
860	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
861	C₄×D₄	—	3	2	no	—
862	C₄×D₄	—	3	2	no	—
863	C₄×D₄	—	3	2	no	—
864	C₄×D₄	—	3	2	no	—
865	C₄×D₄	—	3	2	no	—
866	C₄×D₄	—	3	2	no	—
867	#117	—	3	1	no	—
868	#117	—	3	2	no	—
869	C₂×C₂²⋊C₄	—	3	1	no	—
870	C₂×C₂²⋊C₄	—	3	2	no	—
871	C₂×C₂²⋊C₄	—	3	2	no	—
872	C₂×C₂²⋊C₄	—	3	2	no	—
873	C₂×C₂²⋊C₄	—	3	2	no	—
874	C₂×C₂²⋊C₄	—	3	2	no	—
875	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
876	C₂³×C₃	—	2	4	no	—
877	C₂³×C₃	—	2	2	no	—
878	C₂³×C₃	—	2	2	no	—
879	C₂³×C₃	—	2	2	no	—
880	C₂³×C₃	—	2	2	no	—
881	C₂³×C₃	—	2	1	no	—
882	C₂³×C₃	—	2	1	no	—
883	C₂³×C₃	—	2	1	no	—
884	C₂³×C₃	—	2	1	no	—
885	C₂³×C₃	—	2	1	no	—
886	C₂³×C₃	—	2	2	no	—
887	C₂³×C₃	—	3	2	no	—
888	C₂³×C₃	—	3	2	no	—
889	C₂³×C₃	—	3	2	no	—
890	C₂³×C₃	—	4	2	no	—
891	C₂³×C₃	—	4	2	no	—
892	C₂³×C₃	—	4	2	no	—
893	C₂³×C₃	—	4	2	no	—
894	C₂³×C₃	—	4	2	no	—
895	C₂³×C₃	—	4	1	no	—
896	C₂³×C₃	—	4	1	no	—
897	C₂³×C₃	—	4	2	no	—
898	C₂³×C₃	—	4	2	no	—
899	C₂³×C₃	—	4	2	no	—
900	C₂³×C₃	—	6	4	no	—
901	C₂³×C₃	—	6	4	no	—
902	C₂³×C₃	—	6	4	no	—
903	C₂³×C₃	—	6	4	no	—
904	C₂³×C₃	—	6	4	no	—
905	C₂³×C₃	—	8	2	no	—
906	C₂³×C₃	—	8	2	no	—
907	C₂³×C₃	—	8	2	no	—
908	C₂³×C₃	—	12	2	no	—
909	C₂³×C₃	—	12	1	no	—
910	C₂³×C₃	—	12	2	no	—
911	C₂³×C₃	—	12	1	no	—
912	C₂³×C₃	—	12	2	no	—
913	C₂³×C₃	—	12	2	no	—
914	C₂³×C₃	—	12	2	no	—
915	C₂³×C₃	—	12	2	no	—
916	C₂³×C₃	—	12	16	no	—
917	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
918	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
919	C₂³×C₃	C₂³×D₃	1	2	yes	—
920	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
921	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
922	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
923	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
924	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
925	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
926	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
927	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
928	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
929	C₂²×D₃	—	2	4	no	—
930	C₂²×D₃	—	2	4	no	—
931	C₂²×D₃	—	2	4	no	—
932	C₂²×D₃	—	2	4	no	—
933	C₂²×D₃	—	2	4	no	—
934	C₂²×D₃	—	4	1	no	—
935	C₂²×D₃	—	4	2	no	—
936	C₂²×D₃	—	4	2	no	—
937	C₂²×D₃	—	4	2	no	—
938	C₂²×D₃	—	4	1	no	—
939	C₂²×D₃	—	4	2	no	—
940	C₂²×D₃	—	4	2	no	—
941	C₂²×D₃	—	4	2	no	—
942	C₂²×D₃	—	4	16	no	—
943	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
944	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
945	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
946	C₃×Q₈	—	12	1	no	—
947	C₃×Q₈	—	12	2	no	—
948	C₃×D₄	—	2	4	no	—
949	C₃×D₄	—	2	4	no	—
950	C₃×D₄	—	4	4	no	—
951	C₃×D₄	—	4	2	no	—
952	C₃×D₄	—	4	2	no	—
953	C₃×D₄	—	4	1	no	—
954	C₃×D₄	—	4	1	no	—
955	C₃×D₄	—	4	1	no	—
956	C₃×D₄	—	4	1	no	—
957	C₃×D₄	—	4	2	no	—
958	C₃×D₄	—	4	1	no	—
959	C₃×D₄	—	4	1	no	—
960	C₃×D₄	—	4	1	no	—
961	C₃×D₄	—	4	1	no	—
962	C₃×D₄	—	4	2	no	—
963	C₃×D₄	—	4	2	no	—
964	C₃×D₄	—	4	2	no	—
965	C₃×D₄	—	4	2	no	—
966	C₃×D₄	—	4	2	no	—
967	C₃×D₄	—	4	2	no	—
968	C₃×D₄	—	4	2	no	—
969	C₃×D₄	—	4	4	no	—
970	C₃×D₄	—	6	4	no	—
971	C₃×D₄	—	6	4	no	—
972	C₃×D₄	—	6	4	no	—
973	C₃×D₄	—	6	4	no	—
974	C₃×D₄	—	6	4	no	—
975	C₃×D₄	—	8	2	no	—
976	C₃×D₄	—	8	2	no	—
977	C₃×D₄	—	12	2	no	—
978	C₃×D₄	—	12	2	no	—
979	C₃×D₄	—	12	1	no	—
980	C₃×D₄	—	12	2	no	—
981	C₃×D₄	—	12	2	no	—
982	C₃×D₄	—	12	2	no	—
983	C₃×D₄	—	12	2	no	—
984	C₃×D₄	—	12	2	no	—
985	C₃×D₄	—	12	2	no	—
986	C₃×D₄	—	12	2	no	—
987	C₃×D₄	—	12	2	no	—
988	C₃×D₄	—	12	2	no	—
989	C₂×C₃×C₄	—	2	2	no	—
990	C₂×C₃×C₄	—	2	2	no	—
991	C₂×C₃×C₄	—	2	2	no	—
992	C₂×C₃×C₄	—	2	2	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	2	no	—
995	C₂×C₃×C₄	—	2	1	no	—
996	C₂×C₃×C₄	—	3	2	no	—
997	C₂×C₃×C₄	—	3	2	no	—
998	C₂×C₃×C₄	—	3	2	no	—
999	C₂×C₃×C₄	—	3	2	no	—
1000	C₂×C₃×C₄	—	3	2	no	—
1001	C₂×C₃×C₄	—	4	2	no	—
1002	C₂×C₃×C₄	—	4	2	no	—
1003	C₂×C₃×C₄	—	4	1	no	—
1004	C₂×C₃×C₄	—	4	2	no	—
1005	C₂×C₃×C₄	—	4	1	no	—
1006	C₂×C₃×C₄	—	4	2	no	—
1007	C₂×C₃×C₄	—	6	4	no	—
1008	C₂×C₃×C₄	—	8	2	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	2	yes	—
1020	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1021	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1022	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1023	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1024	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1025	#67	—	2	4	no	—
1026	#67	—	2	4	no	—
1027	#67	—	2	4	no	—
1028	#67	—	2	4	no	—
1029	#67	—	4	2	no	—
1030	#67	—	4	2	no	—
1031	#67	—	4	2	no	—
1032	#67	—	4	2	no	—
1033	#67	—	4	2	no	—
1034	#67	—	4	2	no	—
1035	#67	—	4	2	no	—
1036	#67	—	4	2	no	—
1037	#67	—	4	2	no	—
1038	C₂×Dic₃	—	4	2	no	—
1039	C₂×Dic₃	—	4	2	no	—
1040	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1041	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1042	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1043	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1044	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1045	D₁₂	—	2	4	no	—
1046	D₁₂	—	4	2	no	—
1047	D₁₂	—	4	2	no	—
1048	D₁₂	—	4	1	no	—
1049	C₄×D₃	—	2	4	no	—
1050	C₄×D₃	—	4	2	no	—
1051	C₄×D₃	—	4	2	no	—
1052	C₄×D₃	—	4	2	no	—
1053	C₄×D₃	—	4	2	no	—
1054	Dic₆	—	4	2	no	—
1055	Dic₆	—	4	1	no	—
1056	C₂×C₃²	—	2	2	no	—
1057	C₂×C₃²	—	4	1	no	—
1058	C₂×C₃²	—	4	1	no	—
1059	C₂×C₃²	—	4	1	no	—
1060	C₂×C₃²	—	4	1	no	—
1061	C₂×C₃²	—	4	2	no	—
1062	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1063	C₂×C₃²	C₂×H(5,𝔽₂)	1	2	yes	—
1064	C₃×D₃	—	2	4	no	—
1065	C₃×D₃	—	4	2	no	—
1066	C₃×D₃	—	4	2	no	—
1067	C₂⁴	—	3	1	no	—
1068	C₂⁴	—	3	2	no	—
1069	C₂⁴	—	3	2	no	—
1070	C₂⁴	—	3	2	no	—
1071	C₂⁴	—	3	1	no	—
1072	C₂⁴	—	12	2	no	—
1073	C₂⁴	—	12	4	no	—
1074	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1075	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1076	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1077	#41	—	12	2	no	—
1078	#41	—	12	4	no	—
1079	C₂×Q₈	—	3	2	no	—
1080	C₂×Q₈	—	3	1	no	—
1081	C₂×D₄	—	3	2	no	—
1082	C₂×D₄	—	3	2	no	—
1083	C₂×D₄	—	3	2	no	—
1084	C₂×D₄	—	3	2	no	—
1085	C₂×D₄	—	3	2	no	—
1086	C₂×D₄	—	3	2	no	—
1087	C₂×D₄	—	3	2	no	—
1088	C₂×D₄	—	3	2	no	—
1089	C₂×D₄	—	3	2	no	—
1090	C₂×D₄	—	3	2	no	—
1091	C₂×D₄	—	3	2	no	—
1092	C₂×D₄	—	3	2	no	—
1093	C₂×D₄	—	3	2	no	—
1094	C₂×D₄	—	3	2	no	—
1095	C₂×D₄	—	3	2	no	—
1096	C₂×D₄	—	3	2	no	—
1097	C₂×D₄	—	3	1	no	—
1098	C₂×D₄	—	4	2	no	—
1099	C₂×D₄	—	4	2	no	—
1100	C₂×D₄	—	12	4	no	—
1101	C₂×D₄	—	12	4	no	—
1102	C₂×D₄	—	12	4	no	—
1103	C₂×D₄	—	12	4	no	—
1104	C₂×D₄	—	12	4	no	—
1105	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1106	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1107	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1108	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1109	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1110	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1111	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1112	C₂×D₄	C₂²×C₃×D₃	1	2	yes	complemented
1113	C₂²×C₄	—	3	2	no	—
1114	C₂²×C₄	—	3	2	no	—
1115	C₂²×C₄	—	3	2	no	—
1116	C₂²×C₄	—	3	2	no	—
1117	C₂²×C₄	—	3	2	no	—
1118	C₂²×C₄	—	3	2	no	—
1119	C₂²×C₄	—	3	2	no	—
1120	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	complemented
1122	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1123	C₄⋊C₄	—	3	2	no	—
1124	C₄⋊C₄	—	3	2	no	—
1125	C₄⋊C₄	—	3	2	no	—
1126	C₄⋊C₄	—	3	2	no	—
1127	C₄⋊C₄	—	3	2	no	—
1128	C₄⋊C₄	—	3	2	no	—
1129	C₄⋊C₄	—	3	2	no	—
1130	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1131	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1132	C₂²⋊C₄	—	3	2	no	—
1133	C₂²⋊C₄	—	3	1	no	—
1134	C₂²⋊C₄	—	3	2	no	—
1135	C₂²⋊C₄	—	3	2	no	—
1136	C₂²⋊C₄	—	3	2	no	—
1137	C₂²⋊C₄	—	3	1	no	—
1138	C₂²⋊C₄	—	3	2	no	—
1139	C₂²⋊C₄	—	3	2	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	2	no	—
1146	C₂²⋊C₄	—	3	2	no	—
1147	C₂²⋊C₄	—	3	2	no	—
1148	C₂²⋊C₄	—	3	2	no	—
1149	C₂²⋊C₄	—	3	2	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	2	yes	—
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	2	yes	complemented
1158	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1159	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1160	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1161	C₄²	—	3	1	no	—
1162	C₄²	—	3	2	no	—
1163	C₄²	—	3	1	no	—
1164	C₄²	—	3	2	no	—
1165	C₂²×C₃	—	2	2	no	—
1166	C₂²×C₃	—	2	2	no	—
1167	C₂²×C₃	—	2	2	no	—
1168	C₂²×C₃	—	2	2	no	—
1169	C₂²×C₃	—	2	1	no	—
1170	C₂²×C₃	—	2	2	no	—
1171	C₂²×C₃	—	2	1	no	—
1172	C₂²×C₃	—	2	1	no	—
1173	C₂²×C₃	—	2	1	no	—
1174	C₂²×C₃	—	2	2	no	—
1175	C₂²×C₃	—	2	2	no	—
1176	C₂²×C₃	—	2	2	no	—
1177	C₂²×C₃	—	2	2	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	—	2	2	no	—
1180	C₂²×C₃	—	2	2	no	—
1181	C₂²×C₃	—	2	2	no	—
1182	C₂²×C₃	—	2	2	no	—
1183	C₂²×C₃	—	2	2	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	1	no	—
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	1	no	—
1191	C₂²×C₃	—	2	2	no	—
1192	C₂²×C₃	—	2	1	no	—
1193	C₂²×C₃	—	3	4	no	—
1194	C₂²×C₃	—	4	2	no	—
1195	C₂²×C₃	—	4	2	no	—
1196	C₂²×C₃	—	4	2	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	—	4	2	no	—
1203	C₂²×C₃	—	4	2	no	—
1204	C₂²×C₃	—	4	4	no	—
1205	C₂²×C₃	—	4	4	no	—
1206	C₂²×C₃	—	6	2	no	—
1207	C₂²×C₃	—	6	2	no	—
1208	C₂²×C₃	—	6	2	no	—
1209	C₂²×C₃	—	6	2	no	—
1210	C₂²×C₃	—	6	2	no	—
1211	C₂²×C₃	—	6	2	no	—
1212	C₂²×C₃	—	6	2	no	—
1213	C₂²×C₃	—	6	2	no	—
1214	C₂²×C₃	—	8	4	no	—
1215	C₂²×C₃	—	8	2	no	—
1216	C₂²×C₃	—	8	2	no	—
1217	C₂²×C₃	—	8	4	no	—
1218	C₂²×C₃	—	8	2	no	—
1219	C₂²×C₃	—	8	2	no	—
1220	C₂²×C₃	—	8	4	no	—
1221	C₂²×C₃	—	12	8	no	—
1222	C₂²×C₃	—	12	4	no	—
1223	C₂²×C₃	—	12	8	no	—
1224	C₂²×C₃	—	12	4	no	—
1225	C₂²×C₃	—	24	4	no	—
1226	C₂²×C₃	#1004	1	2	yes	—
1227	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
1228	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1229	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1230	C₂×D₃	—	2	2	no	—
1231	C₂×D₃	—	2	2	no	—
1232	C₂×D₃	—	2	2	no	—
1233	C₂×D₃	—	2	2	no	—
1234	C₂×D₃	—	2	2	no	—
1235	C₂×D₃	—	2	2	no	—
1236	C₂×D₃	—	2	2	no	—
1237	C₂×D₃	—	2	2	no	—
1238	C₂×D₃	—	4	4	no	—
1239	C₂×D₃	—	4	8	no	—
1240	C₂×D₃	—	4	8	no	—
1241	C₂×D₃	—	4	4	no	—
1242	C₂×D₃	—	8	4	no	—
1243	C₂×D₃	C₃×H(5,𝔽₂)	1	4	yes	—
1244	C₃×C₄	—	2	1	no	—
1245	C₃×C₄	—	2	1	no	—
1246	C₃×C₄	—	2	2	no	—
1247	C₃×C₄	—	2	2	no	—
1248	C₃×C₄	—	2	2	no	—
1249	C₃×C₄	—	2	2	no	—
1250	C₃×C₄	—	2	1	no	—
1251	C₃×C₄	—	2	2	no	—
1252	C₃×C₄	—	2	1	no	—
1253	C₃×C₄	—	2	2	no	—
1254	C₃×C₄	—	4	1	no	—
1255	C₃×C₄	—	4	1	no	—
1256	C₃×C₄	—	4	2	no	—
1257	C₃×C₄	—	4	2	no	—
1258	C₃×C₄	—	4	2	no	—
1259	C₃×C₄	—	6	2	no	—
1260	C₃×C₄	—	6	2	no	—
1261	C₃×C₄	—	6	2	no	—
1262	C₃×C₄	—	6	2	no	—
1263	C₃×C₄	—	6	2	no	—
1264	Dic₃	—	2	2	no	—
1265	Dic₃	—	2	2	no	—
1266	Dic₃	—	2	2	no	—
1267	Dic₃	—	2	2	no	—
1268	Dic₃	—	2	2	no	—
1269	C₃²	#3532	1	1	yes	characteristic, complemented, Sylow
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	3	2	no	—
1273	C₂³	—	3	2	no	—
1274	C₂³	—	3	2	no	—
1275	C₂³	—	4	2	no	—
1276	C₂³	—	4	1	no	—
1277	C₂³	—	4	2	no	—
1278	C₂³	—	4	2	no	—
1279	C₂³	—	6	4	no	—
1280	C₂³	—	6	4	no	—
1281	C₂³	—	6	4	no	—
1282	C₂³	—	6	4	no	—
1283	C₂³	—	6	4	no	—
1284	C₂³	—	12	2	no	—
1285	C₂³	—	12	1	no	—
1286	C₂³	—	12	2	no	—
1287	C₂³	—	12	1	no	—
1288	C₂³	—	12	2	no	—
1289	C₂³	—	12	2	no	—
1290	C₂³	—	12	2	no	—
1291	C₂³	—	12	2	no	—
1292	C₂³	—	12	16	no	—
1293	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1294	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1295	C₂³	C₂³×C₃×D₃	1	2	yes	—
1296	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1297	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1298	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1299	Q₈	—	12	1	no	—
1300	Q₈	—	12	2	no	—
1301	D₄	—	2	4	no	—
1302	D₄	—	4	1	no	—
1303	D₄	—	4	1	no	—
1304	D₄	—	4	1	no	—
1305	D₄	—	4	1	no	—
1306	D₄	—	4	2	no	—
1307	D₄	—	4	2	no	—
1308	D₄	—	4	2	no	—
1309	D₄	—	6	4	no	—
1310	D₄	—	6	4	no	—
1311	D₄	—	6	4	no	—
1312	D₄	—	6	4	no	—
1313	D₄	—	6	4	no	—
1314	D₄	—	12	2	no	—
1315	D₄	—	12	2	no	—
1316	D₄	—	12	1	no	—
1317	D₄	—	12	2	no	—
1318	D₄	—	12	2	no	—
1319	D₄	—	12	2	no	—
1320	D₄	—	12	2	no	—
1321	D₄	—	12	2	no	—
1322	D₄	—	12	2	no	—
1323	D₄	—	12	2	no	—
1324	D₄	—	12	2	no	—
1325	D₄	—	12	2	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	3	2	no	—
1328	C₂×C₄	—	3	2	no	—
1329	C₂×C₄	—	3	2	no	—
1330	C₂×C₄	—	3	2	no	—
1331	C₂×C₄	—	3	2	no	—
1332	C₂×C₄	—	4	1	no	—
1333	C₂×C₄	—	4	2	no	—
1334	C₂×C₄	—	6	4	no	—
1335	C₂×C₄	—	12	2	no	—
1336	C₂×C₄	—	12	2	no	—
1337	C₂×C₄	—	12	2	no	—
1338	C₂×C₄	—	12	2	no	—
1339	C₂×C₄	—	12	2	no	—
1340	C₂×C₄	—	12	2	no	—
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	2	yes	—
1346	C₂×C₃	—	2	2	no	—
1347	C₂×C₃	—	2	2	no	—
1348	C₂×C₃	—	2	1	no	—
1349	C₂×C₃	—	2	2	no	—
1350	C₂×C₃	—	4	2	no	—
1351	C₂×C₃	—	4	2	no	—
1352	C₂×C₃	—	4	2	no	—
1353	C₂×C₃	—	4	1	no	—
1354	C₂×C₃	—	4	1	no	—
1355	C₂×C₃	—	4	1	no	—
1356	C₂×C₃	—	4	2	no	—
1357	C₂×C₃	—	4	1	no	—
1358	C₂×C₃	—	4	1	no	—
1359	C₂×C₃	—	4	1	no	—
1360	C₂×C₃	—	4	2	no	—
1361	C₂×C₃	—	4	1	no	—
1362	C₂×C₃	—	4	1	no	—
1363	C₂×C₃	—	6	4	no	—
1364	C₂×C₃	—	8	1	no	—
1365	C₂×C₃	—	8	1	no	—
1366	C₂×C₃	—	8	2	no	—
1367	C₂×C₃	—	12	2	no	—
1368	C₂×C₃	—	12	2	no	—
1369	C₂×C₃	C₂×#1004	1	1	yes	characteristic
1370	C₂×C₃	D₃×H(5,𝔽₂)	1	2	yes	—
1371	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1372	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1373	D₃	—	2	4	no	—
1374	D₃	—	4	2	no	—
1375	D₃	—	4	2	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	2	1	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	1	no	—
1380	C₂²	—	2	1	no	—
1381	C₂²	—	2	1	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	3	4	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	6	2	no	—
1391	C₂²	—	6	2	no	—
1392	C₂²	—	6	2	no	—
1393	C₂²	—	6	2	no	—
1394	C₂²	—	6	2	no	—
1395	C₂²	—	6	2	no	—
1396	C₂²	—	6	2	no	—
1397	C₂²	—	6	2	no	—
1398	C₂²	—	8	2	no	—
1399	C₂²	—	8	2	no	—
1400	C₂²	—	12	8	no	—
1401	C₂²	—	12	4	no	—
1402	C₂²	—	12	8	no	—
1403	C₂²	—	12	4	no	—
1404	C₂²	—	24	4	no	—
1405	C₂²	C₃×#1004	1	2	yes	—
1406	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1407	C₄	—	2	1	no	—
1408	C₄	—	2	1	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	2	no	—
1411	C₄	—	2	2	no	—
1412	C₄	—	6	2	no	—
1413	C₄	—	6	2	no	—
1414	C₄	—	6	2	no	—
1415	C₄	—	6	2	no	—
1416	C₄	—	6	2	no	—
1417	C₃	—	2	1	no	—
1418	C₃	#86310	1	1	yes	characteristic, direct product factor
1419	C₃	C₃×#3532	1	1	yes	characteristic, complemented
1420	C₂	—	2	2	no	—
1421	C₂	—	4	1	no	—
1422	C₂	—	4	1	no	—
1423	C₂	—	4	1	no	—
1424	C₂	—	4	2	no	—
1425	C₂	—	4	1	no	—
1426	C₂	—	6	4	no	—
1427	C₂	—	12	2	no	—
1428	C₂	—	12	2	no	—
1429	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1430	C₂	C₃×D₃×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#534	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#534	D₃
hypocenter	C₃	C₃×#3532
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#534

Complements

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

N	H ≅ G/N	type
1. C₃²×#534	C₂	semidirect
2. C₃×#5805	C₂	semidirect
3. C₃×D₄×#67	C₂	semidirect
4. C₂×C₃×#937	C₂	semidirect
5. C₃×#5666	C₂	semidirect
6. C₃×#5659	C₂	semidirect
7. C₃×#5658	C₂	semidirect
8. C₃×#5657	C₂	semidirect
9. C₃×#5654	C₂	semidirect
10. C₃×#5620	C₂	semidirect
11. C₃×#5613	C₂	semidirect
12. C₃×#5612	C₂	semidirect
13. C₃×#5607	C₂	semidirect
14. C₃×#5594	C₂	semidirect
15. C₃×#5593	C₂	semidirect
16. C₃×#5590	C₂	semidirect
17. C₃×#5589	C₂	semidirect
18. C₃×D₃×#120	C₂	semidirect
19. C₃×#5490	C₂	semidirect
21. #86310	C₃	direct (N × H)
22. C₂⁴×C₃×D₃	C₂²	semidirect
23. C₂²×C₃²×D₄	C₂²	semidirect
24. C₂²×C₃²×D₄	C₂²	semidirect
25. C₂²×C₃×#67	C₂²	semidirect
26. C₂²×C₃×#67	C₂²	semidirect
27. C₂×C₃×D₃×D₄	C₂²	semidirect
28. C₂×C₃×D₃×D₄	C₂²	semidirect
29. C₂×C₃×D₃×D₄	C₂²	semidirect
30. C₂×C₃×#235	C₂²	semidirect
31. C₂×C₃×#235	C₂²	semidirect
32. C₃²×#123	C₂²	semidirect
33. C₃²×#123	C₂²	semidirect
34. C₃²×#123	C₂²	semidirect
35. C₃²×#121	C₂²	semidirect
36. C₃²×#121	C₂²	semidirect
37. C₃²×#120	C₂²	semidirect
38. C₃²×#120	C₂²	semidirect
39. C₃²×#120	C₂²	semidirect
40. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
41. C₃×#953	C₂²	semidirect
42. C₃×#953	C₂²	semidirect
43. C₃×#953	C₂²	semidirect
44. C₂×C₃×#217	C₂²	semidirect
45. C₃×#940	C₂²	semidirect
46. C₃×#940	C₂²	semidirect
47. C₃×#940	C₂²	semidirect
48. C₃×#939	C₂²	semidirect
49. C₃×#939	C₂²	semidirect
50. C₃×#939	C₂²	semidirect
51. C₃×#938	C₂²	semidirect
52. C₃×#938	C₂²	semidirect
53. C₃×#938	C₂²	semidirect
54. C₃×#938	C₂²	semidirect
57. C₃×#937	C₂²	semidirect
58. C₃×#937	C₂²	semidirect
59. C₃×#937	C₂²	semidirect
60. C₃×#937	C₂²	semidirect
61. C₃×#937	C₂²	semidirect
62. C₃×#937	C₂²	semidirect
63. C₃×#937	C₂²	semidirect
64. C₃×#937	C₂²	semidirect
65. C₃×#936	C₂²	semidirect
66. C₃×#936	C₂²	semidirect
67. C₃×#936	C₂²	semidirect
68. C₃×#935	C₂²	semidirect
69. C₃×D₄×Dic₃	C₂²	semidirect
70. C₃×#930	C₂²	semidirect
71. C₃×#930	C₂²	semidirect
72. C₃×#929	C₂²	semidirect
73. C₃×C₄×#67	C₂²	semidirect
74. C₃×C₄×#67	C₂²	semidirect
75. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
76. C₃×#926	C₂²	semidirect
77. C₃×#898	C₂²	semidirect
78. C₃×#898	C₂²	semidirect
79. C₃×#897	C₂²	semidirect
80. C₃×#896	C₂²	semidirect
81. C₃×#895	C₂²	semidirect
82. C₃×#894	C₂²	semidirect
83. C₃×#893	C₂²	semidirect
84. C₃×#892	C₂²	semidirect
85. C₃×#886	C₂²	semidirect
86. C₃×#885	C₂²	semidirect
87. C₃×#885	C₂²	semidirect
88. C₃×#885	C₂²	semidirect
89. C₃×#885	C₂²	semidirect
90. C₃×#884	C₂²	semidirect
91. C₃×#884	C₂²	semidirect
92. C₃×#884	C₂²	semidirect
93. C₃×#883	C₂²	semidirect
94. C₃×#883	C₂²	semidirect
95. C₃×#883	C₂²	semidirect
96. C₃×#882	C₂²	semidirect
97. C₃×#882	C₂²	semidirect
98. C₃×#882	C₂²	semidirect
99. C₃×#882	C₂²	semidirect
100. C₃×#67⋊C₄	C₂²	semidirect
101. C₃×#67⋊C₄	C₂²	semidirect
102. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
103. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
104. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
105. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
106. C₃×#879	C₂²	semidirect
107. C₃×#879	C₂²	semidirect
108. C₃×#878	C₂²	semidirect
126. C₃×#534	D₃	semidirect
127. C₃×#534	C₂×C₃	semidirect
130. #5805	C₂×C₃	semidirect
131. D₄×#67	C₂×C₃	semidirect
132. C₂×#937	C₂×C₃	semidirect
133. #5666	C₂×C₃	semidirect
134. #5659	C₂×C₃	semidirect
135. #5658	C₂×C₃	semidirect
136. #5657	C₂×C₃	semidirect
137. #5654	C₂×C₃	semidirect
138. #5620	C₂×C₃	semidirect
139. #5613	C₂×C₃	semidirect
140. #5612	C₂×C₃	semidirect
141. #5607	C₂×C₃	semidirect
142. #5594	C₂×C₃	semidirect
143. #5593	C₂×C₃	semidirect
144. #5590	C₂×C₃	semidirect
145. #5589	C₂×C₃	semidirect
146. D₃×#120	C₂×C₃	semidirect
147. #5490	C₂×C₃	semidirect
150. C₂⁴×C₃²	C₂³	semidirect
167. C₂×C₃²×D₄	C₂³	semidirect
169. C₂²×C₃²×C₄	C₂³	semidirect
170. C₂²×C₃²×C₄	C₂³	semidirect
183. C₂×C₃×#67	C₂³	semidirect
184. C₂×C₃×#67	C₂³	semidirect
185. C₂×C₃×#67	C₂³	semidirect
187. C₂²×C₃×Dic₃	C₂³	semidirect
196. C₂×C₃×D₁₂	C₂³	semidirect
200. C₂×C₃×C₄×D₃	C₂³	semidirect
201. C₂×C₃×C₄×D₃	C₂³	semidirect
202. C₂×C₃×Dic₆	C₂³	semidirect
203. C₂×C₃×Dic₆	C₂³	semidirect
204. C₃²×C₄⋊C₄	C₂³	semidirect
205. C₃²×C₄⋊C₄	C₂³	semidirect
209. C₃²×C₂²⋊C₄	C₂³	semidirect
210. C₃²×C₂²⋊C₄	C₂³	semidirect
211. C₃²×C₂²⋊C₄	C₂³	semidirect
212. C₃²×C₂²⋊C₄	C₂³	semidirect
219. C₃×#217	C₂³	semidirect
220. C₃×#217	C₂³	semidirect
221. C₃×#217	C₂³	semidirect
222. C₃×#217	C₂³	semidirect
233. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
234. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
235. C₃×C₄⋊Dic₃	C₂³	semidirect
236. C₃×C₄⋊Dic₃	C₂³	semidirect
237. C₃×C₄⋊Dic₃	C₂³	semidirect
238. C₃×Dic₃⋊C₄	C₂³	semidirect
239. C₃×Dic₃⋊C₄	C₂³	semidirect
240. C₃×Dic₃⋊C₄	C₂³	semidirect
241. C₃×Dic₃⋊C₄	C₂³	semidirect
242. C₃×C₄×Dic₃	C₂³	semidirect
243. C₃×C₄×Dic₃	C₂³	semidirect
244. C₃×C₄×Dic₃	C₂³	semidirect
245. C₃×C₄×Dic₃	C₂³	semidirect
248. C₂⁴×D₃	C₂²×C₃	semidirect
258. C₂²×C₃×D₄	C₂×D₃	semidirect
259. C₂²×C₃×D₄	C₂×D₃	semidirect
260. C₂²×C₃×D₄	C₂²×C₃	semidirect
261. C₂²×C₃×D₄	C₂²×C₃	semidirect
262. C₂²×#67	C₂²×C₃	semidirect
263. C₂²×#67	C₂²×C₃	semidirect
264. C₂×D₃×D₄	C₂²×C₃	semidirect
265. C₂×D₃×D₄	C₂²×C₃	semidirect
266. C₂×D₃×D₄	C₂²×C₃	semidirect
267. C₂×#235	C₂²×C₃	semidirect
268. C₂×#235	C₂²×C₃	semidirect
293. C₃×#123	C₂×D₃	semidirect
294. C₃×#123	C₂×D₃	semidirect
295. C₃×#123	C₂×D₃	semidirect
296. C₃×#123	C₂²×C₃	semidirect
297. C₃×#123	C₂²×C₃	semidirect
298. C₃×#123	C₂²×C₃	semidirect
317. C₃×#121	C₂×D₃	semidirect
318. C₃×#121	C₂×D₃	semidirect
319. C₃×#121	C₂²×C₃	semidirect
320. C₃×#121	C₂²×C₃	semidirect
341. C₃×#120	C₂×D₃	semidirect
342. C₃×#120	C₂×D₃	semidirect
343. C₃×#120	C₂×D₃	semidirect
344. C₃×#120	C₂²×C₃	semidirect
345. C₃×#120	C₂²×C₃	semidirect
346. C₃×#120	C₂²×C₃	semidirect
362. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
363. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
364. #953	C₂²×C₃	semidirect
365. #953	C₂²×C₃	semidirect
366. #953	C₂²×C₃	semidirect
367. C₂×#217	C₂²×C₃	semidirect
368. #940	C₂²×C₃	semidirect
369. #940	C₂²×C₃	semidirect
370. #940	C₂²×C₃	semidirect
371. #939	C₂²×C₃	semidirect
372. #939	C₂²×C₃	semidirect
373. #939	C₂²×C₃	semidirect
374. #938	C₂²×C₃	semidirect
375. #938	C₂²×C₃	semidirect
376. #938	C₂²×C₃	semidirect
377. #938	C₂²×C₃	semidirect
380. #937	C₂²×C₃	semidirect
381. #937	C₂²×C₃	semidirect
382. #937	C₂²×C₃	semidirect
383. #937	C₂²×C₃	semidirect
384. #937	C₂²×C₃	semidirect
385. #937	C₂²×C₃	semidirect
386. #937	C₂²×C₃	semidirect
387. #937	C₂²×C₃	semidirect
388. #936	C₂²×C₃	semidirect
389. #936	C₂²×C₃	semidirect
390. #936	C₂²×C₃	semidirect
391. #935	C₂²×C₃	semidirect
392. D₄×Dic₃	C₂²×C₃	semidirect
393. #930	C₂²×C₃	semidirect
394. #930	C₂²×C₃	semidirect
395. #929	C₂²×C₃	semidirect
396. C₄×#67	C₂²×C₃	semidirect
397. C₄×#67	C₂²×C₃	semidirect
398. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
399. #926	C₂²×C₃	semidirect
400. #898	C₂²×C₃	semidirect
401. #898	C₂²×C₃	semidirect
402. #897	C₂²×C₃	semidirect
403. #896	C₂²×C₃	semidirect
404. #895	C₂²×C₃	semidirect
405. #894	C₂²×C₃	semidirect
406. #893	C₂²×C₃	semidirect
407. #892	C₂²×C₃	semidirect
408. #886	C₂²×C₃	semidirect
409. #885	C₂²×C₃	semidirect
410. #885	C₂²×C₃	semidirect
411. #885	C₂²×C₃	semidirect
412. #885	C₂²×C₃	semidirect
413. #884	C₂²×C₃	semidirect
414. #884	C₂²×C₃	semidirect
415. #884	C₂²×C₃	semidirect
416. #883	C₂²×C₃	semidirect
417. #883	C₂²×C₃	semidirect
418. #883	C₂²×C₃	semidirect
419. #882	C₂²×C₃	semidirect
420. #882	C₂²×C₃	semidirect
421. #882	C₂²×C₃	semidirect
422. #882	C₂²×C₃	semidirect
423. #67⋊C₄	C₂²×C₃	semidirect
424. #67⋊C₄	C₂²×C₃	semidirect
425. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
426. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
427. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
428. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
429. #879	C₂²×C₃	semidirect
430. #879	C₂²×C₃	semidirect
431. #878	C₂²×C₃	semidirect
524. #534	C₃×D₃	semidirect
539. C₂⁴×C₃	C₂²×D₃	semidirect
542. C₂⁴×C₃	C₂³×C₃	semidirect
597. C₂×C₃×D₄	C₂²×D₃	semidirect
605. C₂×C₃×D₄	C₂³×C₃	semidirect
617. C₂²×C₃×C₄	C₂²×D₃	semidirect
618. C₂²×C₃×C₄	C₂²×D₃	semidirect
620. C₂²×C₃×C₄	C₂³×C₃	semidirect
621. C₂²×C₃×C₄	C₂³×C₃	semidirect
634. C₂×#67	C₂³×C₃	semidirect
635. C₂×#67	C₂³×C₃	semidirect
636. C₂×#67	C₂³×C₃	semidirect
638. C₂²×Dic₃	C₂³×C₃	semidirect
647. C₂×D₁₂	C₂³×C₃	semidirect
651. C₂×C₄×D₃	C₂³×C₃	semidirect
652. C₂×C₄×D₃	C₂³×C₃	semidirect
653. C₂×Dic₆	C₂³×C₃	semidirect
654. C₂×Dic₆	C₂³×C₃	semidirect
664. C₃×C₄⋊C₄	C₂²×D₃	semidirect
665. C₃×C₄⋊C₄	C₂²×D₃	semidirect
666. C₃×C₄⋊C₄	C₂³×C₃	semidirect
667. C₃×C₄⋊C₄	C₂³×C₃	semidirect
700. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
701. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
702. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
703. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
707. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
708. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
709. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
710. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
721. #217	C₂³×C₃	semidirect
722. #217	C₂³×C₃	semidirect
723. #217	C₂³×C₃	semidirect
724. #217	C₂³×C₃	semidirect
735. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
736. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
737. C₄⋊Dic₃	C₂³×C₃	semidirect
738. C₄⋊Dic₃	C₂³×C₃	semidirect
739. C₄⋊Dic₃	C₂³×C₃	semidirect
740. Dic₃⋊C₄	C₂³×C₃	semidirect
741. Dic₃⋊C₄	C₂³×C₃	semidirect
742. Dic₃⋊C₄	C₂³×C₃	semidirect
743. Dic₃⋊C₄	C₂³×C₃	semidirect
744. C₄×Dic₃	C₂³×C₃	semidirect
745. C₄×Dic₃	C₂³×C₃	semidirect
746. C₄×Dic₃	C₂³×C₃	semidirect
747. C₄×Dic₃	C₂³×C₃	semidirect
797. C₂²×D₄	C₂×C₃×D₃	semidirect
798. C₂²×D₄	C₂×C₃×D₃	semidirect
820. #123	C₂×C₃×D₃	semidirect
821. #123	C₂×C₃×D₃	semidirect
822. #123	C₂×C₃×D₃	semidirect
839. #121	C₂×C₃×D₃	semidirect
840. #121	C₂×C₃×D₃	semidirect
858. #120	C₂×C₃×D₃	semidirect
859. #120	C₂×C₃×D₃	semidirect
860. #120	C₂×C₃×D₃	semidirect
875. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1076. C₂⁴	C₂²×C₃×D₃	semidirect
1112. C₂×D₄	C₂²×C₃×D₃	semidirect
1121. C₂²×C₄	C₂²×C₃×D₃	semidirect
1122. C₂²×C₄	C₂²×C₃×D₃	semidirect
1130. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1131. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1157. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1158. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1159. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1160. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1269. C₃²	#3532	semidirect
1418. C₃	#86310	direct (N × H)
1419. C₃	C₃×#3532	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#534	2
C₃×#5805	2
C₃×D₄×#67	2
C₂×C₃×#937	2
C₃×#5666	2
C₃×#5659	2
C₃×#5658	2
C₃×#5657	2
C₃×#5654	2
C₃×#5620	2
C₃×#5613	2
C₃×#5612	2
C₃×#5607	2
C₃×#5594	2
C₃×#5593	2
C₃×#5590	2
C₃×#5589	2
C₃×D₃×#120	2
C₃×#5490	2
C₃×#3532	3
#86310	3

Subgroups — C3×#86310 #11910494

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86310 #11910494