Subgroups — C₃×#86818 #11910506

Order 1152.

2796 conjugacy classes of subgroups.

The subgroup lattice has 1405 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5711	C₂	1	2	yes	maximal, complemented
3	C₃×#5704	C₂	1	2	yes	maximal, complemented
4	C₃×#5683	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5674	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5666	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5654	C₂	1	2	yes	maximal, complemented
8	C₃×#5653	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5653	C₂	1	2	yes	maximal, complemented
10	C₃×#5644	C₂	1	2	yes	maximal, complemented
11	C₃×#5630	C₂	1	2	yes	maximal, complemented
12	C₃×#5590	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5560	C₂	1	2	yes	maximal, complemented
15	C₃×D₄×D₁₂	C₂	1	2	yes	maximal, complemented
16	C₃×#5527	C₂	1	2	yes	maximal, complemented
17	C₃×#5525	C₂	1	2	yes	maximal, complemented
18	C₃×#5490	C₂	1	2	yes	maximal, complemented
19	C₂×C₃×#882	C₂	1	2	yes	maximal, complemented
20	C₃×#3532	—	3	1	no	maximal
21	#86818	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₃×#67	C₂²	1	2	yes	complemented
24	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
26	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
28	C₂×C₃×#235	C₂²	1	2	yes	complemented
29	C₂²×C₃×D₁₂	C₂²	1	2	yes	complemented
30	C₂²×C₃×D₁₂	C₂²	1	2	yes	complemented
31	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
32	C₃²×#126	C₂²	1	2	yes	complemented
33	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
34	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#123	C₂²	1	2	yes	complemented
36	C₃²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
37	C₃²×#120	C₂²	1	1	yes	characteristic
38	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
39	C₃²×#117	C₂²	1	2	yes	complemented
40	C₂×C₃²×C₂²⋊C₄	C₂²	1	2	yes	complemented
41	C₃×#953	C₂²	1	1	yes	characteristic, complemented
42	C₃×#947	C₂²	1	2	yes	complemented
43	C₃×#947	C₂²	1	1	yes	characteristic, complemented
44	C₃×#940	C₂²	1	1	yes	characteristic, complemented
45	C₃×#939	C₂²	1	2	yes	complemented
46	C₃×#937	C₂²	1	2	yes	complemented
47	C₃×#937	C₂²	1	1	yes	characteristic, complemented
48	C₃×#937	C₂²	1	1	yes	characteristic, complemented
49	C₃×#930	C₂²	1	2	yes	complemented
50	C₃×#930	C₂²	1	2	yes	complemented
51	C₃×#929	C₂²	1	1	yes	characteristic, complemented
52	C₃×#929	C₂²	1	2	yes	complemented
53	C₃×C₄×#67	C₂²	1	2	yes	complemented
54	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
55	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
56	C₃×#898	C₂²	1	2	yes	complemented
57	C₃×#898	C₂²	1	2	yes	complemented
58	C₃×#896	C₂²	1	2	yes	complemented
59	C₃×#895	C₂²	1	2	yes	complemented
60	C₃×#895	C₂²	1	2	yes	complemented
61	C₃×#895	C₂²	1	2	yes	complemented
62	C₃×#895	C₂²	1	2	yes	complemented
63	C₃×#895	C₂²	1	2	yes	complemented
64	C₃×#895	C₂²	1	2	yes	complemented
65	C₃×#895	C₂²	1	2	yes	complemented
66	C₃×#894	C₂²	1	2	yes	complemented
67	C₃×#894	C₂²	1	2	yes	complemented
68	C₃×#894	C₂²	1	2	yes	complemented
69	C₃×#894	C₂²	1	2	yes	complemented
70	C₃×#894	C₂²	1	2	yes	complemented
71	C₃×#893	C₂²	1	2	yes	complemented
72	C₃×#885	C₂²	1	2	yes	complemented
73	C₃×#885	C₂²	1	2	yes	complemented
74	C₃×#884	C₂²	1	2	yes	complemented
75	C₃×#884	C₂²	1	2	yes	complemented
76	C₃×#884	C₂²	1	2	yes	complemented
77	C₃×#884	C₂²	1	2	yes	complemented
78	C₃×#884	C₂²	1	2	yes	complemented
79	C₃×#883	C₂²	1	2	yes	complemented
80	C₃×#882	C₂²	1	2	yes	—
81	C₃×#882	C₂²	1	2	yes	complemented
82	C₃×#882	C₂²	1	2	yes	complemented
83	C₃×#882	C₂²	1	2	yes	complemented
84	C₃×#882	C₂²	1	2	yes	complemented
85	C₃×#882	C₂²	1	2	yes	complemented
86	C₃×#882	C₂²	1	2	yes	complemented
87	C₃×#882	C₂²	1	2	yes	complemented
88	C₃×#882	C₂²	1	2	yes	complemented
89	C₃×#882	C₂²	1	1	yes	characteristic, complemented
90	C₃×#882	C₂²	1	2	yes	complemented
91	C₃×#882	C₂²	1	2	yes	complemented
92	C₃×#882	C₂²	1	2	yes	complemented
93	C₃×#882	C₂²	1	2	yes	complemented
94	C₃×#882	C₂²	1	1	yes	characteristic, complemented
95	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
96	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
97	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
98	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
99	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
100	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
101	C₃×#878	C₂²	1	2	yes	complemented
102	C₃×#876	C₂²	1	2	yes	complemented
103	C₃×#875	C₂²	1	2	yes	complemented
104	C₃×#875	C₂²	1	2	yes	complemented
105	C₃×#874	C₂²	1	1	yes	characteristic, complemented
106	C₃×#874	C₂²	1	2	yes	complemented
107	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
108	C₃×#872	C₂²	1	1	yes	characteristic, complemented
109	C₃×H(3,𝔽₄)	—	3	1	no	—
110	C₃×#560	—	3	2	no	—
111	C₃×#560	—	3	1	no	—
112	C₃×#551	—	2	1	no	—
113	C₃×#551	—	3	2	no	—
114	C₃×#551	D₃	1	1	yes	characteristic, complemented
115	C₃×#551	C₂×C₃	1	1	yes	characteristic, complemented
116	C₃×#546	—	3	2	no	—
117	C₃×#546	—	3	2	no	—
118	C₃×#546	—	3	2	no	—
119	C₃×D₄²	—	3	1	no	—
120	C₃×D₄²	—	3	2	no	—
121	C₃×#538	—	3	2	no	—
122	C₃×#538	—	3	2	no	—
123	C₃×#538	—	3	2	no	—
124	C₃×#535	—	3	1	no	—
125	C₃×#535	—	3	2	no	—
126	C₃×#534	—	3	2	no	—
127	C₃×#534	—	3	1	no	—
128	C₂×C₃×#120	—	3	1	no	—
129	C₂×C₃×#120	—	3	2	no	—
130	#5711	C₂×C₃	1	2	yes	complemented
131	#5704	C₂×C₃	1	2	yes	complemented
132	#5683	C₂×C₃	1	1	yes	characteristic, complemented
133	#5674	C₂×C₃	1	1	yes	characteristic, complemented
134	#5666	C₂×C₃	1	1	yes	characteristic, complemented
135	#5654	C₂×C₃	1	2	yes	complemented
136	#5653	C₂×C₃	1	1	yes	characteristic, complemented
137	#5653	C₂×C₃	1	2	yes	complemented
138	#5644	C₂×C₃	1	2	yes	complemented
139	#5630	C₂×C₃	1	2	yes	complemented
140	#5590	C₂×C₃	1	1	yes	characteristic, complemented
141	D₃×#120	C₂×C₃	1	1	yes	characteristic, complemented
142	#5560	C₂×C₃	1	2	yes	complemented
143	D₄×D₁₂	C₂×C₃	1	2	yes	complemented
144	#5527	C₂×C₃	1	2	yes	complemented
145	#5525	C₂×C₃	1	2	yes	complemented
146	#5490	C₂×C₃	1	2	yes	complemented
147	C₂×#882	C₂×C₃	1	2	yes	complemented
148	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
149	C₂³×C₃×D₃	—	4	2	no	—
150	C₂³×C₃×D₃	—	4	4	no	—
151	C₂³×C₃×D₃	C₂³	1	2	yes	—
152	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
153	C₂³×C₃×D₃	C₂³	1	2	yes	—
154	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
155	C₂³×C₃×D₃	C₂³	1	2	yes	—
156	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
157	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic, complemented
158	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
159	C₂×C₃²×D₄	C₂³	1	2	yes	—
160	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
161	C₂²×C₃²×C₄	C₂³	1	2	yes	—
162	C₂²×C₃²×C₄	C₂³	1	2	yes	—
163	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
164	C₂×C₃×#67	—	4	4	no	—
165	C₂×C₃×#67	C₂³	1	2	yes	—
166	C₂×C₃×#67	C₂³	1	2	yes	—
167	C₂×C₃×#67	C₂³	1	2	yes	—
168	C₂×C₃×#67	C₂³	1	2	yes	—
169	C₂×C₃×#67	C₂³	1	2	yes	—
170	C₂×C₃×#67	C₂³	1	1	yes	characteristic
171	C₂×C₃×#67	C₂³	1	1	yes	characteristic
172	C₂×C₃×#67	C₂³	1	2	yes	—
173	C₂×C₃×#67	C₂³	1	2	yes	complemented
174	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
175	C₃×#239	—	4	2	no	—
176	C₃×D₃×D₄	—	4	2	no	—
177	C₃×D₃×D₄	—	4	4	no	—
178	C₃×D₃×D₄	—	4	4	no	—
179	C₃×#235	—	4	4	no	—
180	C₂×C₃×D₁₂	—	4	2	no	—
181	C₂×C₃×D₁₂	—	4	4	no	—
182	C₂×C₃×D₁₂	—	4	4	no	—
183	C₂×C₃×D₁₂	C₂³	1	2	yes	—
184	C₂×C₃×D₁₂	C₂³	1	2	yes	—
185	C₂×C₃×D₁₂	C₂³	1	2	yes	—
186	C₂×C₃×D₁₂	C₂³	1	2	yes	—
187	C₂×C₃×D₁₂	C₂³	1	2	yes	—
188	C₂×C₃×D₁₂	C₂³	1	2	yes	—
189	C₂×C₃×D₁₂	C₂³	1	2	yes	—
190	C₂×C₃×D₁₂	C₂³	1	2	yes	—
191	C₂×C₃×D₁₂	C₂³	1	2	yes	—
192	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
193	C₂×C₃×D₁₂	C₂³	1	2	yes	complemented
194	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
195	C₂×C₃×D₁₂	C₂³	1	2	yes	complemented
196	C₂×C₃×D₁₂	C₂³	1	2	yes	complemented
197	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
198	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
199	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
200	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
201	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
202	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
203	C₂×C₃×Dic₆	C₂³	1	2	yes	complemented
204	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
205	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
206	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
207	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
208	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
215	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
216	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
217	C₃²×C₄²	C₂³	1	2	yes	complemented
218	C₃×#217	C₂³	1	2	yes	—
219	C₃×#217	C₂³	1	1	yes	characteristic
220	C₃×#217	C₂³	1	1	yes	characteristic, complemented
221	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
222	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
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	complemented
233	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
234	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
235	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
236	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
237	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
238	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
239	C₃×C₄⋊Dic₃	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×Dic₃⋊C₄	C₂³	1	2	yes	complemented
243	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
244	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
245	C₃×C₄×Dic₃	C₂³	1	2	yes	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	—	3	2	no	—
252	C₂²×C₃×D₄	—	3	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	1	no	—
258	C₂²×#67	C₂²×C₃	1	2	yes	complemented
259	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
260	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
261	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
262	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
263	C₂×#235	C₂²×C₃	1	2	yes	complemented
264	C₂²×D₁₂	C₂²×C₃	1	2	yes	complemented
265	C₂²×D₁₂	C₂²×C₃	1	2	yes	complemented
266	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
267	C₃×#127	—	3	1	no	—
268	C₃×#127	—	3	2	no	—
269	C₃×#127	—	3	1	no	—
270	C₃×#126	—	2	2	no	—
271	C₃×#126	—	3	2	no	—
272	C₃×#126	—	3	2	no	—
273	C₃×#126	—	3	2	no	—
274	C₃×#126	C₂×D₃	1	2	yes	complemented
275	C₃×#126	C₂²×C₃	1	2	yes	complemented
276	C₃×#124	—	2	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×#124	C₂×D₃	1	1	yes	characteristic, complemented
284	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
285	C₃×#123	—	2	1	no	—
286	C₃×#123	—	2	2	no	—
287	C₃×#123	—	3	2	no	—
288	C₃×#123	—	3	1	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	—	3	2	no	—
294	C₃×#123	—	3	2	no	—
295	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
296	C₃×#123	C₂×D₃	1	2	yes	complemented
297	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
298	C₃×#123	C₂²×C₃	1	2	yes	complemented
299	C₃×C₂²⋊Q₈	—	2	2	no	—
300	C₃×C₂²⋊Q₈	—	3	2	no	—
301	C₃×C₂²⋊Q₈	—	3	2	no	—
302	C₃×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
303	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
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	—	3	2	no	—
318	C₃×#121	—	3	2	no	—
319	C₃×#120	—	2	1	no	—
320	C₃×#120	—	3	1	no	—
321	C₃×#120	—	3	1	no	—
322	C₃×#120	—	3	1	no	—
323	C₃×#120	—	3	2	no	—
324	C₃×#120	—	3	2	no	—
325	C₃×#120	—	3	1	no	—
326	C₃×#120	—	3	2	no	—
327	C₃×#120	—	3	2	no	—
328	C₃×#120	—	3	2	no	—
329	C₃×#120	—	3	2	no	—
330	C₃×#120	—	3	2	no	—
331	C₃×#120	—	3	2	no	—
332	C₃×#120	—	3	2	no	—
333	C₃×#120	—	3	2	no	—
334	C₃×#120	—	3	2	no	—
335	C₃×#120	—	3	2	no	—
336	C₃×#120	—	3	2	no	—
337	C₃×#120	—	3	1	no	—
338	C₃×#120	—	3	2	no	—
339	C₃×#120	C₂×D₃	1	1	yes	characteristic
340	C₃×#120	C₂²×C₃	1	1	yes	characteristic
341	C₃×C₄×D₄	—	2	2	no	—
342	C₃×C₄×D₄	—	3	2	no	—
343	C₃×C₄×D₄	—	3	2	no	—
344	C₃×C₄×D₄	—	3	2	no	—
345	C₃×C₄×D₄	—	3	2	no	—
346	C₃×C₄×D₄	—	3	2	no	—
347	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
348	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
349	C₃×#117	—	2	2	no	—
350	C₃×#117	—	3	1	no	—
351	C₃×#117	C₂×D₃	1	2	yes	complemented
352	C₃×#117	C₂²×C₃	1	2	yes	complemented
353	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
354	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
355	C₂×C₃×C₂²⋊C₄	—	3	2	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	1	no	—
360	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	complemented
361	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
362	#953	C₂²×C₃	1	1	yes	characteristic, complemented
363	#947	C₂²×C₃	1	1	yes	characteristic, complemented
364	#947	C₂²×C₃	1	2	yes	complemented
365	#940	C₂²×C₃	1	1	yes	characteristic, complemented
366	#939	C₂²×C₃	1	2	yes	complemented
367	#937	C₂²×C₃	1	2	yes	complemented
368	#937	C₂²×C₃	1	1	yes	characteristic, complemented
369	#937	C₂²×C₃	1	1	yes	characteristic, complemented
370	#930	C₂²×C₃	1	2	yes	complemented
371	#930	C₂²×C₃	1	2	yes	complemented
372	#929	C₂²×C₃	1	1	yes	characteristic, complemented
373	#929	C₂²×C₃	1	2	yes	complemented
374	C₄×#67	C₂²×C₃	1	2	yes	complemented
375	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
376	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
377	#898	C₂²×C₃	1	2	yes	complemented
378	#898	C₂²×C₃	1	2	yes	complemented
379	#896	C₂²×C₃	1	2	yes	complemented
380	#895	C₂²×C₃	1	2	yes	complemented
381	#895	C₂²×C₃	1	2	yes	complemented
382	#895	C₂²×C₃	1	2	yes	complemented
383	#895	C₂²×C₃	1	2	yes	complemented
384	#895	C₂²×C₃	1	2	yes	complemented
385	#895	C₂²×C₃	1	2	yes	complemented
386	#895	C₂²×C₃	1	2	yes	complemented
387	#894	C₂²×C₃	1	2	yes	complemented
388	#894	C₂²×C₃	1	2	yes	complemented
389	#894	C₂²×C₃	1	2	yes	complemented
390	#894	C₂²×C₃	1	2	yes	complemented
391	#894	C₂²×C₃	1	2	yes	complemented
392	#893	C₂²×C₃	1	2	yes	complemented
393	#885	C₂²×C₃	1	2	yes	complemented
394	#885	C₂²×C₃	1	2	yes	complemented
395	#884	C₂²×C₃	1	2	yes	complemented
396	#884	C₂²×C₃	1	2	yes	complemented
397	#884	C₂²×C₃	1	2	yes	complemented
398	#884	C₂²×C₃	1	2	yes	complemented
399	#884	C₂²×C₃	1	2	yes	complemented
400	#883	C₂²×C₃	1	2	yes	complemented
401	#882	C₂²×C₃	1	2	yes	—
402	#882	C₂²×C₃	1	2	yes	complemented
403	#882	C₂²×C₃	1	2	yes	complemented
404	#882	C₂²×C₃	1	2	yes	complemented
405	#882	C₂²×C₃	1	2	yes	complemented
406	#882	C₂²×C₃	1	2	yes	complemented
407	#882	C₂²×C₃	1	2	yes	complemented
408	#882	C₂²×C₃	1	2	yes	complemented
409	#882	C₂²×C₃	1	1	yes	characteristic, complemented
410	#882	C₂²×C₃	1	2	yes	complemented
411	#882	C₂²×C₃	1	2	yes	complemented
412	#882	C₂²×C₃	1	2	yes	complemented
413	#882	C₂²×C₃	1	2	yes	complemented
414	#882	C₂²×C₃	1	1	yes	characteristic, complemented
415	#882	C₂²×C₃	1	2	yes	complemented
416	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
417	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
418	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
419	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
420	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
421	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
422	#878	C₂²×C₃	1	2	yes	complemented
423	#876	C₂²×C₃	1	2	yes	complemented
424	#875	C₂²×C₃	1	2	yes	complemented
425	#875	C₂²×C₃	1	2	yes	complemented
426	#874	C₂²×C₃	1	1	yes	characteristic, complemented
427	#874	C₂²×C₃	1	2	yes	complemented
428	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
429	#872	C₂²×C₃	1	1	yes	characteristic, complemented
430	C₂³×C₃²	—	2	4	no	—
431	C₂³×C₃²	—	4	1	no	—
432	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
433	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
434	C₂³×C₃²	C₂⁴	1	2	yes	—
435	C₂²×C₃×D₃	—	2	4	no	—
436	C₂²×C₃×D₃	—	2	4	no	—
437	C₂²×C₃×D₃	—	2	4	no	—
438	C₂²×C₃×D₃	—	2	4	no	—
439	C₂²×C₃×D₃	—	2	2	no	—
440	C₂²×C₃×D₃	—	2	2	no	—
441	C₂²×C₃×D₃	—	4	2	no	—
442	C₂²×C₃×D₃	—	4	2	no	—
443	C₂²×C₃×D₃	—	4	1	no	—
444	C₂²×C₃×D₃	—	4	2	no	—
445	C₂²×C₃×D₃	—	4	2	no	—
446	C₂²×C₃×D₃	—	4	2	no	—
447	C₂²×C₃×D₃	—	4	2	no	—
448	C₂²×C₃×D₃	—	4	2	no	—
449	C₂²×C₃×D₃	—	4	2	no	—
450	C₂²×C₃×D₃	—	4	1	no	—
451	C₂²×C₃×D₃	—	4	2	no	—
452	C₂²×C₃×D₃	—	4	16	no	—
453	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
454	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
456	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
457	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
459	C₃²×Q₈	—	4	1	no	—
460	C₃²×D₄	—	2	4	no	—
461	C₃²×D₄	—	4	1	no	—
462	C₂×C₃²×C₄	—	2	4	no	—
463	C₂×C₃²×C₄	—	4	2	no	—
464	C₂×C₃²×C₄	—	4	1	no	—
465	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
466	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
467	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
468	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
469	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
470	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
471	C₃×#67	—	2	4	no	—
472	C₃×#67	—	2	4	no	—
473	C₃×#67	—	2	4	no	—
474	C₃×#67	—	4	2	no	—
475	C₃×#67	—	4	1	no	—
476	C₃×#67	—	4	1	no	—
477	C₃×#67	—	4	2	no	—
478	C₃×#67	—	4	2	no	—
479	C₃×#67	—	4	2	no	—
480	C₂×C₃×Dic₃	—	4	2	no	—
481	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
482	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
483	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
484	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
485	C₃×D₁₂	—	2	4	no	—
486	C₃×D₁₂	—	2	4	no	—
487	C₃×D₁₂	—	4	2	no	—
488	C₃×D₁₂	—	4	2	no	—
489	C₃×D₁₂	—	4	2	no	—
490	C₃×D₁₂	—	4	2	no	—
491	C₃×D₁₂	—	4	2	no	—
492	C₃×D₁₂	—	4	2	no	—
493	C₃×D₁₂	—	4	2	no	—
494	C₃×D₁₂	—	4	1	no	—
495	C₃×D₁₂	—	4	2	no	—
496	C₃×D₁₂	—	4	2	no	—
497	C₃×D₁₂	—	4	2	no	—
498	C₃×D₁₂	—	4	1	no	—
499	C₃×C₄×D₃	—	2	2	no	—
500	C₃×C₄×D₃	—	4	2	no	—
501	C₃×C₄×D₃	—	4	2	no	—
502	C₃×C₄×D₃	—	4	2	no	—
503	C₃×C₄×D₃	—	4	2	no	—
504	C₃×C₄×D₃	—	4	2	no	—
505	C₃×Dic₆	—	4	2	no	—
506	H(3,𝔽₄)	—	3	1	no	—
507	#560	—	3	2	no	—
508	#560	—	3	1	no	—
509	#551	—	3	2	no	—
510	#551	C₃×D₃	1	1	yes	characteristic, complemented
511	#546	—	3	2	no	—
512	#546	—	3	2	no	—
513	#546	—	3	2	no	—
514	D₄²	—	3	1	no	—
515	D₄²	—	3	2	no	—
516	#538	—	3	2	no	—
517	#538	—	3	2	no	—
518	#538	—	3	2	no	—
519	#535	—	3	1	no	—
520	#535	—	3	2	no	—
521	#534	—	3	2	no	—
522	#534	—	3	1	no	—
523	C₂×#120	—	3	1	no	—
524	C₂×#120	—	3	2	no	—
525	C₂⁴×C₃	—	2	1	no	—
526	C₂⁴×C₃	—	3	2	no	—
527	C₂⁴×C₃	—	3	1	no	—
528	C₂⁴×C₃	—	3	2	no	—
529	C₂⁴×C₃	—	3	1	no	—
530	C₂⁴×C₃	—	3	2	no	—
531	C₂⁴×C₃	—	3	1	no	—
532	C₂⁴×C₃	—	3	1	no	—
533	C₂⁴×C₃	—	12	4	no	—
534	C₂⁴×C₃	—	12	2	no	—
535	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
536	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
537	C₂³×D₃	—	4	2	no	—
538	C₂³×D₃	—	4	4	no	—
539	C₂³×D₃	C₂³×C₃	1	2	yes	—
540	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
541	C₂³×D₃	C₂³×C₃	1	2	yes	—
542	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
543	C₂³×D₃	C₂³×C₃	1	2	yes	—
544	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
545	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
546	C₃×#41	—	12	4	no	—
547	C₃×#41	—	12	2	no	—
548	C₂×C₃×Q₈	—	2	1	no	—
549	C₂×C₃×Q₈	—	3	2	no	—
550	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
551	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
552	C₂×C₃×D₄	—	2	2	no	—
553	C₂×C₃×D₄	—	2	1	no	—
554	C₂×C₃×D₄	—	3	2	no	—
555	C₂×C₃×D₄	—	3	2	no	—
556	C₂×C₃×D₄	—	3	2	no	—
557	C₂×C₃×D₄	—	3	1	no	—
558	C₂×C₃×D₄	—	3	2	no	—
559	C₂×C₃×D₄	—	3	2	no	—
560	C₂×C₃×D₄	—	3	1	no	—
561	C₂×C₃×D₄	—	3	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	1	no	—
572	C₂×C₃×D₄	—	3	2	no	—
573	C₂×C₃×D₄	—	3	1	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	—	12	4	no	—
578	C₂×C₃×D₄	—	12	4	no	—
579	C₂×C₃×D₄	—	12	2	no	—
580	C₂×C₃×D₄	—	12	2	no	—
581	C₂×C₃×D₄	—	12	4	no	—
582	C₂×C₃×D₄	—	12	4	no	—
583	C₂×C₃×D₄	—	12	4	no	—
584	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
585	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
586	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
587	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
588	C₂²×C₃×C₄	—	2	2	no	—
589	C₂²×C₃×C₄	—	2	2	no	—
590	C₂²×C₃×C₄	—	2	1	no	—
591	C₂²×C₃×C₄	—	3	2	no	—
592	C₂²×C₃×C₄	—	3	1	no	—
593	C₂²×C₃×C₄	—	3	2	no	—
594	C₂²×C₃×C₄	—	3	2	no	—
595	C₂²×C₃×C₄	—	3	2	no	—
596	C₂²×C₃×C₄	—	3	2	no	—
597	C₂²×C₃×C₄	—	3	2	no	—
598	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
599	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
600	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
601	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
602	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
603	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
604	C₂×#67	—	4	4	no	—
605	C₂×#67	C₂³×C₃	1	2	yes	—
606	C₂×#67	C₂³×C₃	1	2	yes	—
607	C₂×#67	C₂³×C₃	1	2	yes	—
608	C₂×#67	C₂³×C₃	1	2	yes	—
609	C₂×#67	C₂³×C₃	1	2	yes	—
610	C₂×#67	C₂³×C₃	1	1	yes	characteristic
611	C₂×#67	C₂³×C₃	1	1	yes	characteristic
612	C₂×#67	C₂³×C₃	1	2	yes	—
613	C₂×#67	C₂³×C₃	1	2	yes	complemented
614	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
615	#239	—	4	2	no	—
616	D₃×D₄	—	4	2	no	—
617	D₃×D₄	—	4	4	no	—
618	D₃×D₄	—	4	4	no	—
619	#235	—	4	4	no	—
620	C₂×D₁₂	—	4	2	no	—
621	C₂×D₁₂	—	4	4	no	—
622	C₂×D₁₂	—	4	4	no	—
623	C₂×D₁₂	C₂³×C₃	1	2	yes	—
624	C₂×D₁₂	C₂³×C₃	1	2	yes	—
625	C₂×D₁₂	C₂³×C₃	1	2	yes	—
626	C₂×D₁₂	C₂³×C₃	1	2	yes	—
627	C₂×D₁₂	C₂³×C₃	1	2	yes	—
628	C₂×D₁₂	C₂³×C₃	1	2	yes	—
629	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
630	C₂×D₁₂	C₂³×C₃	1	2	yes	—
631	C₂×D₁₂	C₂³×C₃	1	2	yes	—
632	C₂×D₁₂	C₂³×C₃	1	2	yes	—
633	C₂×D₁₂	C₂³×C₃	1	2	yes	complemented
634	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
635	C₂×D₁₂	C₂³×C₃	1	2	yes	complemented
636	C₂×D₁₂	C₂³×C₃	1	2	yes	complemented
637	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
638	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
639	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
640	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
641	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
642	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
643	C₂×Dic₆	C₂³×C₃	1	2	yes	complemented
644	C₃×C₄⋊C₄	—	2	2	no	—
645	C₃×C₄⋊C₄	—	2	2	no	—
646	C₃×C₄⋊C₄	—	2	2	no	—
647	C₃×C₄⋊C₄	—	2	2	no	—
648	C₃×C₄⋊C₄	—	3	2	no	—
649	C₃×C₄⋊C₄	—	3	2	no	—
650	C₃×C₄⋊C₄	—	3	2	no	—
651	C₃×C₄⋊C₄	—	3	2	no	—
652	C₃×C₄⋊C₄	—	3	2	no	—
653	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
654	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
655	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
656	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
657	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
658	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
659	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
660	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
661	C₃×C₂²⋊C₄	—	2	2	no	—
662	C₃×C₂²⋊C₄	—	2	2	no	—
663	C₃×C₂²⋊C₄	—	2	2	no	—
664	C₃×C₂²⋊C₄	—	2	2	no	—
665	C₃×C₂²⋊C₄	—	2	2	no	—
666	C₃×C₂²⋊C₄	—	2	1	no	—
667	C₃×C₂²⋊C₄	—	2	2	no	—
668	C₃×C₂²⋊C₄	—	2	1	no	—
669	C₃×C₂²⋊C₄	—	3	2	no	—
670	C₃×C₂²⋊C₄	—	3	1	no	—
671	C₃×C₂²⋊C₄	—	3	1	no	—
672	C₃×C₂²⋊C₄	—	3	2	no	—
673	C₃×C₂²⋊C₄	—	3	2	no	—
674	C₃×C₂²⋊C₄	—	3	2	no	—
675	C₃×C₂²⋊C₄	—	3	2	no	—
676	C₃×C₂²⋊C₄	—	3	2	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	2	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	C₂²×D₃	1	2	yes	—
691	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
692	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
693	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
694	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
695	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
696	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
697	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
698	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
699	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
700	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
701	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
702	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
703	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
704	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
705	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
706	C₃×C₄²	—	2	1	no	—
707	C₃×C₄²	—	2	2	no	—
708	C₃×C₄²	—	3	1	no	—
709	C₃×C₄²	—	3	2	no	—
710	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
711	C₃×C₄²	C₂²×D₃	1	2	yes	complemented
712	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
713	C₃×C₄²	C₂³×C₃	1	2	yes	complemented
714	#217	C₂³×C₃	1	2	yes	—
715	#217	C₂³×C₃	1	1	yes	characteristic
716	#217	C₂³×C₃	1	1	yes	characteristic, complemented
717	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
718	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
719	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
720	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
721	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
722	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
723	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
724	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
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	complemented
729	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
730	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
731	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
732	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
733	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
734	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
735	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
736	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
737	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
738	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
739	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
740	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
741	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
742	C₂²×C₃²	—	2	2	no	—
743	C₂²×C₃²	—	2	2	no	—
744	C₂²×C₃²	—	2	2	no	—
745	C₂²×C₃²	—	2	2	no	—
746	C₂²×C₃²	—	2	1	no	—
747	C₂²×C₃²	—	2	1	no	—
748	C₂²×C₃²	—	4	4	no	—
749	C₂²×C₃²	H(5,𝔽₂)	1	4	yes	—
750	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
751	C₂×C₃×D₃	—	2	2	no	—
752	C₂×C₃×D₃	—	2	2	no	—
753	C₂×C₃×D₃	—	2	2	no	—
754	C₂×C₃×D₃	—	2	2	no	—
755	C₂×C₃×D₃	—	2	2	no	—
756	C₂×C₃×D₃	—	2	2	no	—
757	C₂×C₃×D₃	—	2	2	no	—
758	C₂×C₃×D₃	—	2	1	no	—
759	C₂×C₃×D₃	—	2	2	no	—
760	C₂×C₃×D₃	—	2	2	no	—
761	C₂×C₃×D₃	—	2	2	no	—
762	C₂×C₃×D₃	—	2	2	no	—
763	C₂×C₃×D₃	—	2	2	no	—
764	C₂×C₃×D₃	—	2	1	no	—
765	C₂×C₃×D₃	—	4	8	no	—
766	C₂×C₃×D₃	—	4	4	no	—
767	C₂×C₃×D₃	—	4	8	no	—
768	C₂×C₃×D₃	—	4	4	no	—
769	C₂×C₃×D₃	—	8	2	no	—
770	C₂×C₃×D₃	—	8	4	no	—
771	C₂×C₃×D₃	—	8	2	no	—
772	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
773	C₃²×C₄	—	2	2	no	—
774	C₃²×C₄	—	2	1	no	—
775	C₃²×C₄	—	2	2	no	—
776	C₃²×C₄	—	2	2	no	—
777	C₃²×C₄	—	2	2	no	—
778	C₃²×C₄	—	2	2	no	—
779	C₃×Dic₃	—	2	2	no	—
780	C₃×Dic₃	—	2	2	no	—
781	C₃×Dic₃	—	2	1	no	—
782	C₃×Dic₃	—	2	2	no	—
783	C₂⁵	—	3	1	no	—
784	C₂×#41	—	3	1	no	—
785	C₂×#41	—	3	2	no	—
786	C₂²×D₄	—	3	2	no	—
787	C₂²×D₄	—	3	1	no	—
788	C₂²×D₄	—	3	2	no	—
789	C₂²×D₄	—	3	2	no	—
790	C₂²×D₄	—	3	2	no	—
791	C₂²×D₄	—	3	2	no	—
792	C₂²×D₄	—	3	1	no	—
793	#127	—	3	1	no	—
794	#127	—	3	1	no	—
795	#127	—	3	2	no	—
796	#126	—	3	2	no	—
797	#126	—	3	2	no	—
798	#126	—	3	2	no	—
799	#126	C₂×C₃×D₃	1	2	yes	complemented
800	#124	—	3	1	no	—
801	#124	—	3	2	no	—
802	#124	—	3	2	no	—
803	#124	—	3	2	no	—
804	#124	—	3	2	no	—
805	#124	—	3	2	no	—
806	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
807	#123	—	3	2	no	—
808	#123	—	3	1	no	—
809	#123	—	3	2	no	—
810	#123	—	3	2	no	—
811	#123	—	3	2	no	—
812	#123	—	3	2	no	—
813	#123	—	3	2	no	—
814	#123	—	3	2	no	—
815	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
816	#123	C₂×C₃×D₃	1	2	yes	complemented
817	C₂²⋊Q₈	—	3	2	no	—
818	C₂²⋊Q₈	—	3	2	no	—
819	C₂²⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
820	#121	—	3	2	no	—
821	#121	—	3	2	no	—
822	#121	—	3	2	no	—
823	#121	—	3	2	no	—
824	#121	—	3	2	no	—
825	#121	—	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	#120	—	3	1	no	—
836	#120	—	3	2	no	—
837	#120	—	3	1	no	—
838	#120	—	3	1	no	—
839	#120	—	3	2	no	—
840	#120	—	3	2	no	—
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	1	no	—
848	#120	—	3	2	no	—
849	#120	—	3	2	no	—
850	#120	—	3	2	no	—
851	#120	—	3	1	no	—
852	#120	—	3	2	no	—
853	#120	—	3	2	no	—
854	#120	C₂×C₃×D₃	1	1	yes	characteristic
855	C₄×D₄	—	3	2	no	—
856	C₄×D₄	—	3	2	no	—
857	C₄×D₄	—	3	2	no	—
858	C₄×D₄	—	3	2	no	—
859	C₄×D₄	—	3	2	no	—
860	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
861	#117	—	3	1	no	—
862	#117	C₂×C₃×D₃	1	2	yes	complemented
863	C₂×C₂²⋊C₄	—	3	2	no	—
864	C₂×C₂²⋊C₄	—	3	2	no	—
865	C₂×C₂²⋊C₄	—	3	1	no	—
866	C₂×C₂²⋊C₄	—	3	2	no	—
867	C₂×C₂²⋊C₄	—	3	2	no	—
868	C₂×C₂²⋊C₄	—	3	1	no	—
869	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
870	C₂³×C₃	—	2	4	no	—
871	C₂³×C₃	—	2	4	no	—
872	C₂³×C₃	—	2	2	no	—
873	C₂³×C₃	—	2	1	no	—
874	C₂³×C₃	—	2	1	no	—
875	C₂³×C₃	—	3	1	no	—
876	C₂³×C₃	—	3	2	no	—
877	C₂³×C₃	—	3	1	no	—
878	C₂³×C₃	—	3	2	no	—
879	C₂³×C₃	—	3	1	no	—
880	C₂³×C₃	—	3	2	no	—
881	C₂³×C₃	—	4	4	no	—
882	C₂³×C₃	—	4	1	no	—
883	C₂³×C₃	—	4	1	no	—
884	C₂³×C₃	—	6	4	no	—
885	C₂³×C₃	—	6	2	no	—
886	C₂³×C₃	—	6	2	no	—
887	C₂³×C₃	—	6	4	no	—
888	C₂³×C₃	—	6	4	no	—
889	C₂³×C₃	—	6	4	no	—
890	C₂³×C₃	—	8	1	no	—
891	C₂³×C₃	—	12	2	no	—
892	C₂³×C₃	—	12	2	no	—
893	C₂³×C₃	—	12	2	no	—
894	C₂³×C₃	—	12	2	no	—
895	C₂³×C₃	—	12	2	no	—
896	C₂³×C₃	—	12	1	no	—
897	C₂³×C₃	—	12	2	no	—
898	C₂³×C₃	—	12	2	no	—
899	C₂³×C₃	—	12	2	no	—
900	C₂³×C₃	—	12	2	no	—
901	C₂³×C₃	—	12	1	no	—
902	C₂³×C₃	—	12	16	no	—
903	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
904	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
905	C₂³×C₃	C₂³×D₃	1	2	yes	—
906	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
907	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
908	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
909	C₂²×D₃	—	2	4	no	—
910	C₂²×D₃	—	2	4	no	—
911	C₂²×D₃	—	2	4	no	—
912	C₂²×D₃	—	2	4	no	—
913	C₂²×D₃	—	2	2	no	—
914	C₂²×D₃	—	2	2	no	—
915	C₂²×D₃	—	4	2	no	—
916	C₂²×D₃	—	4	2	no	—
917	C₂²×D₃	—	4	1	no	—
918	C₂²×D₃	—	4	2	no	—
919	C₂²×D₃	—	4	2	no	—
920	C₂²×D₃	—	4	2	no	—
921	C₂²×D₃	—	4	2	no	—
922	C₂²×D₃	—	4	1	no	—
923	C₂²×D₃	—	4	2	no	—
924	C₂²×D₃	—	4	2	no	—
925	C₂²×D₃	—	4	2	no	—
926	C₂²×D₃	—	4	16	no	—
927	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
928	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
929	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
930	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
931	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
932	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
933	C₃×Q₈	—	4	1	no	—
934	C₃×Q₈	—	4	1	no	—
935	C₃×Q₈	—	8	1	no	—
936	C₃×Q₈	—	12	2	no	—
937	C₃×D₄	—	2	4	no	—
938	C₃×D₄	—	2	4	no	—
939	C₃×D₄	—	4	4	no	—
940	C₃×D₄	—	4	1	no	—
941	C₃×D₄	—	4	1	no	—
942	C₃×D₄	—	6	4	no	—
943	C₃×D₄	—	6	4	no	—
944	C₃×D₄	—	6	4	no	—
945	C₃×D₄	—	6	4	no	—
946	C₃×D₄	—	6	4	no	—
947	C₃×D₄	—	8	1	no	—
948	C₃×D₄	—	12	2	no	—
949	C₃×D₄	—	12	2	no	—
950	C₃×D₄	—	12	2	no	—
951	C₃×D₄	—	12	2	no	—
952	C₃×D₄	—	12	2	no	—
953	C₃×D₄	—	12	2	no	—
954	C₃×D₄	—	12	2	no	—
955	C₃×D₄	—	12	2	no	—
956	C₃×D₄	—	12	2	no	—
957	C₃×D₄	—	12	1	no	—
958	C₃×D₄	—	12	2	no	—
959	C₃×D₄	—	12	1	no	—
960	C₃×D₄	—	12	2	no	—
961	C₃×D₄	—	12	2	no	—
962	C₃×D₄	—	12	2	no	—
963	C₃×D₄	—	12	2	no	—
964	C₃×D₄	—	12	1	no	—
965	C₃×D₄	—	12	1	no	—
966	C₂×C₃×C₄	—	2	4	no	—
967	C₂×C₃×C₄	—	2	4	no	—
968	C₂×C₃×C₄	—	2	2	no	—
969	C₂×C₃×C₄	—	2	2	no	—
970	C₂×C₃×C₄	—	2	2	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	2	no	—
973	C₂×C₃×C₄	—	2	2	no	—
974	C₂×C₃×C₄	—	3	2	no	—
975	C₂×C₃×C₄	—	3	2	no	—
976	C₂×C₃×C₄	—	3	2	no	—
977	C₂×C₃×C₄	—	3	1	no	—
978	C₂×C₃×C₄	—	4	4	no	—
979	C₂×C₃×C₄	—	4	2	no	—
980	C₂×C₃×C₄	—	4	1	no	—
981	C₂×C₃×C₄	—	4	2	no	—
982	C₂×C₃×C₄	—	4	1	no	—
983	C₂×C₃×C₄	—	6	2	no	—
984	C₂×C₃×C₄	—	8	2	no	—
985	C₂×C₃×C₄	—	8	1	no	—
986	C₂×C₃×C₄	—	12	2	no	—
987	C₂×C₃×C₄	—	12	2	no	—
988	C₂×C₃×C₄	—	12	2	no	—
989	C₂×C₃×C₄	—	12	2	no	—
990	C₂×C₃×C₄	—	12	2	no	—
991	C₂×C₃×C₄	—	12	2	no	—
992	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
993	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
994	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
995	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
996	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
997	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
998	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
999	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1000	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1001	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1002	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1003	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1004	#67	—	2	4	no	—
1005	#67	—	2	4	no	—
1006	#67	—	2	4	no	—
1007	#67	—	4	2	no	—
1008	#67	—	4	1	no	—
1009	#67	—	4	1	no	—
1010	#67	—	4	2	no	—
1011	#67	—	4	2	no	—
1012	#67	—	4	2	no	—
1013	C₂×Dic₃	—	4	2	no	—
1014	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1015	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1016	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1017	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1018	D₁₂	—	2	4	no	—
1019	D₁₂	—	2	4	no	—
1020	D₁₂	—	4	2	no	—
1021	D₁₂	—	4	2	no	—
1022	D₁₂	—	4	2	no	—
1023	D₁₂	—	4	2	no	—
1024	D₁₂	—	4	2	no	—
1025	D₁₂	—	4	2	no	—
1026	D₁₂	—	4	2	no	—
1027	D₁₂	—	4	1	no	—
1028	D₁₂	—	4	2	no	—
1029	D₁₂	—	4	2	no	—
1030	D₁₂	—	4	2	no	—
1031	D₁₂	—	4	1	no	—
1032	C₄×D₃	—	2	2	no	—
1033	C₄×D₃	—	4	2	no	—
1034	C₄×D₃	—	4	2	no	—
1035	C₄×D₃	—	4	2	no	—
1036	C₄×D₃	—	4	2	no	—
1037	C₄×D₃	—	4	2	no	—
1038	Dic₆	—	4	2	no	—
1039	C₂×C₃²	—	2	4	no	—
1040	C₂×C₃²	—	4	1	no	—
1041	C₂×C₃²	—	4	1	no	—
1042	C₂×C₃²	C₂×H(5,𝔽₂)	1	2	yes	—
1043	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1044	C₃×D₃	—	2	2	no	—
1045	C₃×D₃	—	4	2	no	—
1046	C₃×D₃	—	4	1	no	—
1047	C₃×D₃	—	4	2	no	—
1048	C₃×D₃	—	4	1	no	—
1049	C₃×D₃	—	4	2	no	—
1050	C₂⁴	—	3	2	no	—
1051	C₂⁴	—	3	1	no	—
1052	C₂⁴	—	3	2	no	—
1053	C₂⁴	—	3	1	no	—
1054	C₂⁴	—	3	2	no	—
1055	C₂⁴	—	3	1	no	—
1056	C₂⁴	—	3	1	no	—
1057	C₂⁴	—	12	4	no	—
1058	C₂⁴	—	12	2	no	—
1059	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1060	#41	—	12	4	no	—
1061	#41	—	12	2	no	—
1062	C₂×Q₈	—	3	2	no	—
1063	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1064	C₂×D₄	—	3	2	no	—
1065	C₂×D₄	—	3	2	no	—
1066	C₂×D₄	—	3	2	no	—
1067	C₂×D₄	—	3	1	no	—
1068	C₂×D₄	—	3	2	no	—
1069	C₂×D₄	—	3	2	no	—
1070	C₂×D₄	—	3	1	no	—
1071	C₂×D₄	—	3	2	no	—
1072	C₂×D₄	—	3	2	no	—
1073	C₂×D₄	—	3	2	no	—
1074	C₂×D₄	—	3	2	no	—
1075	C₂×D₄	—	3	2	no	—
1076	C₂×D₄	—	3	2	no	—
1077	C₂×D₄	—	3	2	no	—
1078	C₂×D₄	—	3	2	no	—
1079	C₂×D₄	—	3	2	no	—
1080	C₂×D₄	—	3	2	no	—
1081	C₂×D₄	—	3	1	no	—
1082	C₂×D₄	—	3	2	no	—
1083	C₂×D₄	—	3	1	no	—
1084	C₂×D₄	—	3	2	no	—
1085	C₂×D₄	—	3	2	no	—
1086	C₂×D₄	—	3	2	no	—
1087	C₂×D₄	—	12	4	no	—
1088	C₂×D₄	—	12	4	no	—
1089	C₂×D₄	—	12	2	no	—
1090	C₂×D₄	—	12	2	no	—
1091	C₂×D₄	—	12	4	no	—
1092	C₂×D₄	—	12	4	no	—
1093	C₂×D₄	—	12	4	no	—
1094	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1095	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1096	C₂²×C₄	—	3	2	no	—
1097	C₂²×C₄	—	3	1	no	—
1098	C₂²×C₄	—	3	2	no	—
1099	C₂²×C₄	—	3	2	no	—
1100	C₂²×C₄	—	3	2	no	—
1101	C₂²×C₄	—	3	2	no	—
1102	C₂²×C₄	—	3	2	no	—
1103	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1104	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1105	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1106	C₄⋊C₄	—	3	2	no	—
1107	C₄⋊C₄	—	3	2	no	—
1108	C₄⋊C₄	—	3	2	no	—
1109	C₄⋊C₄	—	3	2	no	—
1110	C₄⋊C₄	—	3	2	no	—
1111	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1112	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1113	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1114	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1115	C₂²⋊C₄	—	3	2	no	—
1116	C₂²⋊C₄	—	3	1	no	—
1117	C₂²⋊C₄	—	3	1	no	—
1118	C₂²⋊C₄	—	3	2	no	—
1119	C₂²⋊C₄	—	3	2	no	—
1120	C₂²⋊C₄	—	3	2	no	—
1121	C₂²⋊C₄	—	3	2	no	—
1122	C₂²⋊C₄	—	3	2	no	—
1123	C₂²⋊C₄	—	3	2	no	—
1124	C₂²⋊C₄	—	3	2	no	—
1125	C₂²⋊C₄	—	3	2	no	—
1126	C₂²⋊C₄	—	3	2	no	—
1127	C₂²⋊C₄	—	3	2	no	—
1128	C₂²⋊C₄	—	3	2	no	—
1129	C₂²⋊C₄	—	3	2	no	—
1130	C₂²⋊C₄	—	3	2	no	—
1131	C₂²⋊C₄	—	3	2	no	—
1132	C₂²⋊C₄	—	3	2	no	—
1133	C₂²⋊C₄	—	3	2	no	—
1134	C₂²⋊C₄	—	3	2	no	—
1135	C₂²⋊C₄	—	3	2	no	—
1136	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1137	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1138	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1139	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1140	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1141	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1142	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1143	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1144	C₄²	—	3	1	no	—
1145	C₄²	—	3	2	no	—
1146	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1147	C₄²	C₂²×C₃×D₃	1	2	yes	complemented
1148	C₂²×C₃	—	2	2	no	—
1149	C₂²×C₃	—	2	2	no	—
1150	C₂²×C₃	—	2	2	no	—
1151	C₂²×C₃	—	2	2	no	—
1152	C₂²×C₃	—	2	2	no	—
1153	C₂²×C₃	—	2	2	no	—
1154	C₂²×C₃	—	2	1	no	—
1155	C₂²×C₃	—	2	1	no	—
1156	C₂²×C₃	—	2	2	no	—
1157	C₂²×C₃	—	2	2	no	—
1158	C₂²×C₃	—	2	1	no	—
1159	C₂²×C₃	—	2	1	no	—
1160	C₂²×C₃	—	2	4	no	—
1161	C₂²×C₃	—	2	1	no	—
1162	C₂²×C₃	—	3	2	no	—
1163	C₂²×C₃	—	4	2	no	—
1164	C₂²×C₃	—	4	2	no	—
1165	C₂²×C₃	—	4	1	no	—
1166	C₂²×C₃	—	4	2	no	—
1167	C₂²×C₃	—	4	1	no	—
1168	C₂²×C₃	—	4	2	no	—
1169	C₂²×C₃	—	4	4	no	—
1170	C₂²×C₃	—	4	4	no	—
1171	C₂²×C₃	—	6	2	no	—
1172	C₂²×C₃	—	6	2	no	—
1173	C₂²×C₃	—	6	2	no	—
1174	C₂²×C₃	—	6	2	no	—
1175	C₂²×C₃	—	6	2	no	—
1176	C₂²×C₃	—	6	2	no	—
1177	C₂²×C₃	—	6	2	no	—
1178	C₂²×C₃	—	6	2	no	—
1179	C₂²×C₃	—	6	2	no	—
1180	C₂²×C₃	—	6	2	no	—
1181	C₂²×C₃	—	6	2	no	—
1182	C₂²×C₃	—	6	1	no	—
1183	C₂²×C₃	—	6	2	no	—
1184	C₂²×C₃	—	6	1	no	—
1185	C₂²×C₃	—	8	4	no	—
1186	C₂²×C₃	—	12	8	no	—
1187	C₂²×C₃	—	12	8	no	—
1188	C₂²×C₃	—	12	4	no	—
1189	C₂²×C₃	—	12	4	no	—
1190	C₂²×C₃	—	24	4	no	—
1191	C₂²×C₃	—	24	2	no	—
1192	C₂²×C₃	—	24	2	no	—
1193	C₂²×C₃	#1009	1	4	yes	—
1194	C₂²×C₃	C₃×H(5,𝔽₂)	1	4	yes	—
1195	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1196	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1197	C₂×D₃	—	2	2	no	—
1198	C₂×D₃	—	2	2	no	—
1199	C₂×D₃	—	2	2	no	—
1200	C₂×D₃	—	2	2	no	—
1201	C₂×D₃	—	2	2	no	—
1202	C₂×D₃	—	2	2	no	—
1203	C₂×D₃	—	2	2	no	—
1204	C₂×D₃	—	2	1	no	—
1205	C₂×D₃	—	2	2	no	—
1206	C₂×D₃	—	2	2	no	—
1207	C₂×D₃	—	2	2	no	—
1208	C₂×D₃	—	2	2	no	—
1209	C₂×D₃	—	2	2	no	—
1210	C₂×D₃	—	2	1	no	—
1211	C₂×D₃	—	4	8	no	—
1212	C₂×D₃	—	4	4	no	—
1213	C₂×D₃	—	4	8	no	—
1214	C₂×D₃	—	4	4	no	—
1215	C₂×D₃	—	8	2	no	—
1216	C₂×D₃	—	8	4	no	—
1217	C₂×D₃	—	8	2	no	—
1218	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
1219	C₃×C₄	—	2	2	no	—
1220	C₃×C₄	—	2	2	no	—
1221	C₃×C₄	—	2	2	no	—
1222	C₃×C₄	—	2	2	no	—
1223	C₃×C₄	—	2	2	no	—
1224	C₃×C₄	—	2	1	no	—
1225	C₃×C₄	—	2	2	no	—
1226	C₃×C₄	—	2	1	no	—
1227	C₃×C₄	—	2	2	no	—
1228	C₃×C₄	—	2	2	no	—
1229	C₃×C₄	—	2	2	no	—
1230	C₃×C₄	—	2	2	no	—
1231	C₃×C₄	—	4	2	no	—
1232	C₃×C₄	—	4	2	no	—
1233	C₃×C₄	—	4	2	no	—
1234	C₃×C₄	—	4	2	no	—
1235	C₃×C₄	—	4	2	no	—
1236	C₃×C₄	—	4	1	no	—
1237	C₃×C₄	—	6	2	no	—
1238	C₃×C₄	—	6	2	no	—
1239	C₃×C₄	—	6	2	no	—
1240	C₃×C₄	—	6	1	no	—
1241	Dic₃	—	2	2	no	—
1242	Dic₃	—	2	2	no	—
1243	Dic₃	—	2	1	no	—
1244	Dic₃	—	2	2	no	—
1245	C₃²	#3532	1	1	yes	characteristic, complemented, Sylow
1246	C₂³	—	2	4	no	—
1247	C₂³	—	3	1	no	—
1248	C₂³	—	3	2	no	—
1249	C₂³	—	3	1	no	—
1250	C₂³	—	3	2	no	—
1251	C₂³	—	3	1	no	—
1252	C₂³	—	3	2	no	—
1253	C₂³	—	4	1	no	—
1254	C₂³	—	6	4	no	—
1255	C₂³	—	6	2	no	—
1256	C₂³	—	6	2	no	—
1257	C₂³	—	6	4	no	—
1258	C₂³	—	6	4	no	—
1259	C₂³	—	6	4	no	—
1260	C₂³	—	12	2	no	—
1261	C₂³	—	12	2	no	—
1262	C₂³	—	12	2	no	—
1263	C₂³	—	12	2	no	—
1264	C₂³	—	12	2	no	—
1265	C₂³	—	12	1	no	—
1266	C₂³	—	12	2	no	—
1267	C₂³	—	12	2	no	—
1268	C₂³	—	12	2	no	—
1269	C₂³	—	12	2	no	—
1270	C₂³	—	12	1	no	—
1271	C₂³	—	12	16	no	—
1272	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1273	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1274	C₂³	C₂³×C₃×D₃	1	2	yes	—
1275	Q₈	—	4	1	no	—
1276	Q₈	—	12	2	no	—
1277	D₄	—	2	4	no	—
1278	D₄	—	4	1	no	—
1279	D₄	—	6	4	no	—
1280	D₄	—	6	4	no	—
1281	D₄	—	6	4	no	—
1282	D₄	—	6	4	no	—
1283	D₄	—	6	4	no	—
1284	D₄	—	12	2	no	—
1285	D₄	—	12	2	no	—
1286	D₄	—	12	2	no	—
1287	D₄	—	12	2	no	—
1288	D₄	—	12	2	no	—
1289	D₄	—	12	2	no	—
1290	D₄	—	12	2	no	—
1291	D₄	—	12	2	no	—
1292	D₄	—	12	2	no	—
1293	D₄	—	12	1	no	—
1294	D₄	—	12	2	no	—
1295	D₄	—	12	1	no	—
1296	D₄	—	12	2	no	—
1297	D₄	—	12	2	no	—
1298	D₄	—	12	2	no	—
1299	D₄	—	12	2	no	—
1300	D₄	—	12	1	no	—
1301	D₄	—	12	1	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	3	2	no	—
1304	C₂×C₄	—	3	2	no	—
1305	C₂×C₄	—	3	2	no	—
1306	C₂×C₄	—	3	1	no	—
1307	C₂×C₄	—	4	2	no	—
1308	C₂×C₄	—	4	1	no	—
1309	C₂×C₄	—	6	2	no	—
1310	C₂×C₄	—	12	2	no	—
1311	C₂×C₄	—	12	2	no	—
1312	C₂×C₄	—	12	2	no	—
1313	C₂×C₄	—	12	2	no	—
1314	C₂×C₄	—	12	2	no	—
1315	C₂×C₄	—	12	2	no	—
1316	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1317	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1318	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1319	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1320	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1321	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1322	C₂×C₃	—	2	4	no	—
1323	C₂×C₃	—	2	4	no	—
1324	C₂×C₃	—	2	2	no	—
1325	C₂×C₃	—	2	1	no	—
1326	C₂×C₃	—	4	4	no	—
1327	C₂×C₃	—	4	1	no	—
1328	C₂×C₃	—	4	1	no	—
1329	C₂×C₃	—	4	1	no	—
1330	C₂×C₃	—	4	1	no	—
1331	C₂×C₃	—	6	2	no	—
1332	C₂×C₃	—	8	1	no	—
1333	C₂×C₃	—	8	1	no	—
1334	C₂×C₃	—	12	2	no	—
1335	C₂×C₃	—	12	1	no	—
1336	C₂×C₃	—	12	2	no	—
1337	C₂×C₃	—	12	1	no	—
1338	C₂×C₃	—	12	2	no	—
1339	C₂×C₃	C₂×#1009	1	2	yes	—
1340	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1341	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1342	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1343	D₃	—	2	2	no	—
1344	D₃	—	4	2	no	—
1345	D₃	—	4	1	no	—
1346	D₃	—	4	2	no	—
1347	D₃	—	4	2	no	—
1348	D₃	—	4	1	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	2	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	3	2	no	—
1356	C₂²	—	4	4	no	—
1357	C₂²	—	6	2	no	—
1358	C₂²	—	6	2	no	—
1359	C₂²	—	6	2	no	—
1360	C₂²	—	6	2	no	—
1361	C₂²	—	6	2	no	—
1362	C₂²	—	6	2	no	—
1363	C₂²	—	6	2	no	—
1364	C₂²	—	6	2	no	—
1365	C₂²	—	6	2	no	—
1366	C₂²	—	6	2	no	—
1367	C₂²	—	6	2	no	—
1368	C₂²	—	6	1	no	—
1369	C₂²	—	6	2	no	—
1370	C₂²	—	6	1	no	—
1371	C₂²	—	12	8	no	—
1372	C₂²	—	12	8	no	—
1373	C₂²	—	12	4	no	—
1374	C₂²	—	12	4	no	—
1375	C₂²	—	24	4	no	—
1376	C₂²	—	24	2	no	—
1377	C₂²	—	24	2	no	—
1378	C₂²	C₃×#1009	1	4	yes	—
1379	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1380	C₄	—	2	2	no	—
1381	C₄	—	2	2	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	2	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	1	no	—
1386	C₄	—	6	2	no	—
1387	C₄	—	6	2	no	—
1388	C₄	—	6	2	no	—
1389	C₄	—	6	1	no	—
1390	C₃	—	2	1	no	—
1391	C₃	#86818	1	1	yes	characteristic, direct product factor
1392	C₃	C₃×#3532	1	1	yes	characteristic, complemented
1393	C₂	—	2	4	no	—
1394	C₂	—	4	1	no	—
1395	C₂	—	4	1	no	—
1396	C₂	—	6	2	no	—
1397	C₂	—	12	2	no	—
1398	C₂	—	12	1	no	—
1399	C₂	—	12	2	no	—
1400	C₂	—	12	1	no	—
1401	C₂	—	12	2	no	—
1402	C₂	C₂×C₃×#1009	1	2	yes	—
1403	C₂	C₃×D₃×H(5,𝔽₂)	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×#551	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#551	D₃
hypocenter	C₃	C₃×#3532
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#551

Complements

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

N	H ≅ G/N	type
1. C₃²×#551	C₂	semidirect
2. C₃×#5711	C₂	semidirect
3. C₃×#5704	C₂	semidirect
4. C₃×#5683	C₂	semidirect
5. C₃×#5674	C₂	semidirect
6. C₃×#5666	C₂	semidirect
7. C₃×#5654	C₂	semidirect
8. C₃×#5653	C₂	semidirect
9. C₃×#5653	C₂	semidirect
10. C₃×#5644	C₂	semidirect
11. C₃×#5630	C₂	semidirect
12. C₃×#5590	C₂	semidirect
13. C₃×D₃×#120	C₂	semidirect
14. C₃×#5560	C₂	semidirect
15. C₃×D₄×D₁₂	C₂	semidirect
16. C₃×#5527	C₂	semidirect
17. C₃×#5525	C₂	semidirect
18. C₃×#5490	C₂	semidirect
19. C₂×C₃×#882	C₂	semidirect
21. #86818	C₃	direct (N × H)
22. C₂⁴×C₃×D₃	C₂²	semidirect
23. C₂²×C₃×#67	C₂²	semidirect
24. C₂×C₃×#239	C₂²	semidirect
25. C₂×C₃×D₃×D₄	C₂²	semidirect
26. C₂×C₃×D₃×D₄	C₂²	semidirect
27. C₂×C₃×D₃×D₄	C₂²	semidirect
28. C₂×C₃×#235	C₂²	semidirect
29. C₂²×C₃×D₁₂	C₂²	semidirect
30. C₂²×C₃×D₁₂	C₂²	semidirect
31. C₂²×C₃×D₁₂	C₂²	semidirect
32. C₃²×#126	C₂²	semidirect
33. C₃²×#124	C₂²	semidirect
34. C₃²×#123	C₂²	semidirect
35. C₃²×#123	C₂²	semidirect
36. C₃²×C₂²⋊Q₈	C₂²	semidirect
38. C₃²×C₄×D₄	C₂²	semidirect
39. C₃²×#117	C₂²	semidirect
40. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
41. C₃×#953	C₂²	semidirect
42. C₃×#947	C₂²	semidirect
43. C₃×#947	C₂²	semidirect
44. C₃×#940	C₂²	semidirect
45. C₃×#939	C₂²	semidirect
46. C₃×#937	C₂²	semidirect
47. C₃×#937	C₂²	semidirect
48. C₃×#937	C₂²	semidirect
49. C₃×#930	C₂²	semidirect
50. C₃×#930	C₂²	semidirect
51. C₃×#929	C₂²	semidirect
52. C₃×#929	C₂²	semidirect
53. C₃×C₄×#67	C₂²	semidirect
54. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
55. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
56. C₃×#898	C₂²	semidirect
57. C₃×#898	C₂²	semidirect
58. C₃×#896	C₂²	semidirect
59. C₃×#895	C₂²	semidirect
60. C₃×#895	C₂²	semidirect
61. C₃×#895	C₂²	semidirect
62. C₃×#895	C₂²	semidirect
63. C₃×#895	C₂²	semidirect
64. C₃×#895	C₂²	semidirect
65. C₃×#895	C₂²	semidirect
66. C₃×#894	C₂²	semidirect
67. C₃×#894	C₂²	semidirect
68. C₃×#894	C₂²	semidirect
69. C₃×#894	C₂²	semidirect
70. C₃×#894	C₂²	semidirect
71. C₃×#893	C₂²	semidirect
72. C₃×#885	C₂²	semidirect
73. C₃×#885	C₂²	semidirect
74. C₃×#884	C₂²	semidirect
75. C₃×#884	C₂²	semidirect
76. C₃×#884	C₂²	semidirect
77. C₃×#884	C₂²	semidirect
78. C₃×#884	C₂²	semidirect
79. C₃×#883	C₂²	semidirect
81. C₃×#882	C₂²	semidirect
82. C₃×#882	C₂²	semidirect
83. C₃×#882	C₂²	semidirect
84. C₃×#882	C₂²	semidirect
85. C₃×#882	C₂²	semidirect
86. C₃×#882	C₂²	semidirect
87. C₃×#882	C₂²	semidirect
88. C₃×#882	C₂²	semidirect
89. C₃×#882	C₂²	semidirect
90. C₃×#882	C₂²	semidirect
91. C₃×#882	C₂²	semidirect
92. C₃×#882	C₂²	semidirect
93. C₃×#882	C₂²	semidirect
94. C₃×#882	C₂²	semidirect
95. C₃×#67⋊C₄	C₂²	semidirect
96. C₃×#67⋊C₄	C₂²	semidirect
97. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
98. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
99. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
100. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
101. C₃×#878	C₂²	semidirect
102. C₃×#876	C₂²	semidirect
103. C₃×#875	C₂²	semidirect
104. C₃×#875	C₂²	semidirect
105. C₃×#874	C₂²	semidirect
106. C₃×#874	C₂²	semidirect
107. C₃×C₄×D₁₂	C₂²	semidirect
108. C₃×#872	C₂²	semidirect
114. C₃×#551	D₃	semidirect
115. C₃×#551	C₂×C₃	semidirect
130. #5711	C₂×C₃	semidirect
131. #5704	C₂×C₃	semidirect
132. #5683	C₂×C₃	semidirect
133. #5674	C₂×C₃	semidirect
134. #5666	C₂×C₃	semidirect
135. #5654	C₂×C₃	semidirect
136. #5653	C₂×C₃	semidirect
137. #5653	C₂×C₃	semidirect
138. #5644	C₂×C₃	semidirect
139. #5630	C₂×C₃	semidirect
140. #5590	C₂×C₃	semidirect
141. D₃×#120	C₂×C₃	semidirect
142. #5560	C₂×C₃	semidirect
143. D₄×D₁₂	C₂×C₃	semidirect
144. #5527	C₂×C₃	semidirect
145. #5525	C₂×C₃	semidirect
146. #5490	C₂×C₃	semidirect
147. C₂×#882	C₂×C₃	semidirect
157. C₂³×C₃×D₃	C₂³	semidirect
158. C₂×C₃²×Q₈	C₂³	semidirect
163. C₂²×C₃²×C₄	C₂³	semidirect
173. C₂×C₃×#67	C₂³	semidirect
193. C₂×C₃×D₁₂	C₂³	semidirect
194. C₂×C₃×D₁₂	C₂³	semidirect
195. C₂×C₃×D₁₂	C₂³	semidirect
196. C₂×C₃×D₁₂	C₂³	semidirect
199. C₂×C₃×C₄×D₃	C₂³	semidirect
200. C₂×C₃×C₄×D₃	C₂³	semidirect
201. C₂×C₃×C₄×D₃	C₂³	semidirect
202. C₂×C₃×C₄×D₃	C₂³	semidirect
203. C₂×C₃×Dic₆	C₂³	semidirect
204. C₃²×C₄⋊C₄	C₂³	semidirect
205. C₃²×C₄⋊C₄	C₂³	semidirect
206. C₃²×C₄⋊C₄	C₂³	semidirect
207. C₃²×C₄⋊C₄	C₂³	semidirect
214. C₃²×C₂²⋊C₄	C₂³	semidirect
215. C₃²×C₂²⋊C₄	C₂³	semidirect
216. C₃²×C₄²	C₂³	semidirect
217. C₃²×C₄²	C₂³	semidirect
220. C₃×#217	C₂³	semidirect
232. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
233. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
234. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
235. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
236. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
237. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
238. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
239. C₃×C₄⋊Dic₃	C₂³	semidirect
240. C₃×Dic₃⋊C₄	C₂³	semidirect
241. C₃×Dic₃⋊C₄	C₂³	semidirect
242. C₃×Dic₃⋊C₄	C₂³	semidirect
243. C₃×Dic₃⋊C₄	C₂³	semidirect
244. C₃×C₄×Dic₃	C₂³	semidirect
245. C₃×C₄×Dic₃	C₂³	semidirect
248. C₂⁴×D₃	C₂²×C₃	semidirect
258. C₂²×#67	C₂²×C₃	semidirect
259. C₂×#239	C₂²×C₃	semidirect
260. C₂×D₃×D₄	C₂²×C₃	semidirect
261. C₂×D₃×D₄	C₂²×C₃	semidirect
262. C₂×D₃×D₄	C₂²×C₃	semidirect
263. C₂×#235	C₂²×C₃	semidirect
264. C₂²×D₁₂	C₂²×C₃	semidirect
265. C₂²×D₁₂	C₂²×C₃	semidirect
266. C₂²×D₁₂	C₂²×C₃	semidirect
274. C₃×#126	C₂×D₃	semidirect
275. C₃×#126	C₂²×C₃	semidirect
283. C₃×#124	C₂×D₃	semidirect
284. C₃×#124	C₂²×C₃	semidirect
295. C₃×#123	C₂×D₃	semidirect
296. C₃×#123	C₂×D₃	semidirect
297. C₃×#123	C₂²×C₃	semidirect
298. C₃×#123	C₂²×C₃	semidirect
302. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
303. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
347. C₃×C₄×D₄	C₂×D₃	semidirect
348. C₃×C₄×D₄	C₂²×C₃	semidirect
351. C₃×#117	C₂×D₃	semidirect
352. C₃×#117	C₂²×C₃	semidirect
360. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
361. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
362. #953	C₂²×C₃	semidirect
363. #947	C₂²×C₃	semidirect
364. #947	C₂²×C₃	semidirect
365. #940	C₂²×C₃	semidirect
366. #939	C₂²×C₃	semidirect
367. #937	C₂²×C₃	semidirect
368. #937	C₂²×C₃	semidirect
369. #937	C₂²×C₃	semidirect
370. #930	C₂²×C₃	semidirect
371. #930	C₂²×C₃	semidirect
372. #929	C₂²×C₃	semidirect
373. #929	C₂²×C₃	semidirect
374. C₄×#67	C₂²×C₃	semidirect
375. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
376. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
377. #898	C₂²×C₃	semidirect
378. #898	C₂²×C₃	semidirect
379. #896	C₂²×C₃	semidirect
380. #895	C₂²×C₃	semidirect
381. #895	C₂²×C₃	semidirect
382. #895	C₂²×C₃	semidirect
383. #895	C₂²×C₃	semidirect
384. #895	C₂²×C₃	semidirect
385. #895	C₂²×C₃	semidirect
386. #895	C₂²×C₃	semidirect
387. #894	C₂²×C₃	semidirect
388. #894	C₂²×C₃	semidirect
389. #894	C₂²×C₃	semidirect
390. #894	C₂²×C₃	semidirect
391. #894	C₂²×C₃	semidirect
392. #893	C₂²×C₃	semidirect
393. #885	C₂²×C₃	semidirect
394. #885	C₂²×C₃	semidirect
395. #884	C₂²×C₃	semidirect
396. #884	C₂²×C₃	semidirect
397. #884	C₂²×C₃	semidirect
398. #884	C₂²×C₃	semidirect
399. #884	C₂²×C₃	semidirect
400. #883	C₂²×C₃	semidirect
402. #882	C₂²×C₃	semidirect
403. #882	C₂²×C₃	semidirect
404. #882	C₂²×C₃	semidirect
405. #882	C₂²×C₃	semidirect
406. #882	C₂²×C₃	semidirect
407. #882	C₂²×C₃	semidirect
408. #882	C₂²×C₃	semidirect
409. #882	C₂²×C₃	semidirect
410. #882	C₂²×C₃	semidirect
411. #882	C₂²×C₃	semidirect
412. #882	C₂²×C₃	semidirect
413. #882	C₂²×C₃	semidirect
414. #882	C₂²×C₃	semidirect
415. #882	C₂²×C₃	semidirect
416. #67⋊C₄	C₂²×C₃	semidirect
417. #67⋊C₄	C₂²×C₃	semidirect
418. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
419. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
420. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
421. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
422. #878	C₂²×C₃	semidirect
423. #876	C₂²×C₃	semidirect
424. #875	C₂²×C₃	semidirect
425. #875	C₂²×C₃	semidirect
426. #874	C₂²×C₃	semidirect
427. #874	C₂²×C₃	semidirect
428. C₄×D₁₂	C₂²×C₃	semidirect
429. #872	C₂²×C₃	semidirect
510. #551	C₃×D₃	semidirect
545. C₂³×D₃	C₂³×C₃	semidirect
550. C₂×C₃×Q₈	C₂²×D₃	semidirect
551. C₂×C₃×Q₈	C₂³×C₃	semidirect
600. C₂²×C₃×C₄	C₂²×D₃	semidirect
603. C₂²×C₃×C₄	C₂³×C₃	semidirect
613. C₂×#67	C₂³×C₃	semidirect
633. C₂×D₁₂	C₂³×C₃	semidirect
634. C₂×D₁₂	C₂³×C₃	semidirect
635. C₂×D₁₂	C₂³×C₃	semidirect
636. C₂×D₁₂	C₂³×C₃	semidirect
639. C₂×C₄×D₃	C₂³×C₃	semidirect
640. C₂×C₄×D₃	C₂³×C₃	semidirect
641. C₂×C₄×D₃	C₂³×C₃	semidirect
642. C₂×C₄×D₃	C₂³×C₃	semidirect
643. C₂×Dic₆	C₂³×C₃	semidirect
653. C₃×C₄⋊C₄	C₂²×D₃	semidirect
654. C₃×C₄⋊C₄	C₂²×D₃	semidirect
655. C₃×C₄⋊C₄	C₂²×D₃	semidirect
656. C₃×C₄⋊C₄	C₂²×D₃	semidirect
657. C₃×C₄⋊C₄	C₂³×C₃	semidirect
658. C₃×C₄⋊C₄	C₂³×C₃	semidirect
659. C₃×C₄⋊C₄	C₂³×C₃	semidirect
660. C₃×C₄⋊C₄	C₂³×C₃	semidirect
696. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
697. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
704. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
705. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
710. C₃×C₄²	C₂²×D₃	semidirect
711. C₃×C₄²	C₂²×D₃	semidirect
712. C₃×C₄²	C₂³×C₃	semidirect
713. C₃×C₄²	C₂³×C₃	semidirect
716. #217	C₂³×C₃	semidirect
728. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
729. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
730. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
731. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
732. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
733. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
734. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
735. C₄⋊Dic₃	C₂³×C₃	semidirect
736. Dic₃⋊C₄	C₂³×C₃	semidirect
737. Dic₃⋊C₄	C₂³×C₃	semidirect
738. Dic₃⋊C₄	C₂³×C₃	semidirect
739. Dic₃⋊C₄	C₂³×C₃	semidirect
740. C₄×Dic₃	C₂³×C₃	semidirect
741. C₄×Dic₃	C₂³×C₃	semidirect
799. #126	C₂×C₃×D₃	semidirect
806. #124	C₂×C₃×D₃	semidirect
815. #123	C₂×C₃×D₃	semidirect
816. #123	C₂×C₃×D₃	semidirect
819. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
860. C₄×D₄	C₂×C₃×D₃	semidirect
862. #117	C₂×C₃×D₃	semidirect
869. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1063. C₂×Q₈	C₂²×C₃×D₃	semidirect
1105. C₂²×C₄	C₂²×C₃×D₃	semidirect
1111. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1112. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1113. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1114. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1142. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1143. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1146. C₄²	C₂²×C₃×D₃	semidirect
1147. C₄²	C₂²×C₃×D₃	semidirect
1245. C₃²	#3532	semidirect
1391. C₃	#86818	direct (N × H)
1392. 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×#551	2
C₃×#5711	2
C₃×#5704	2
C₃×#5683	2
C₃×#5674	2
C₃×#5666	2
C₃×#5654	2
C₃×#5653	2
C₃×#5644	2
C₃×#5630	2
C₃×#5590	2
C₃×D₃×#120	2
C₃×#5560	2
C₃×D₄×D₁₂	2
C₃×#5527	2
C₃×#5525	2
C₃×#5490	2
C₂×C₃×#882	2
C₃×#3532	3
#86818	3

Subgroups — C3×#86818 #11910506

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86818 #11910506