Subgroups — C₃×#87080 #11910497

Order 1152.

2798 conjugacy classes of subgroups.

The subgroup lattice has 1411 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#560	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5717	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5715	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5705	C₂	1	2	yes	maximal, complemented
5	C₃×#5704	C₂	1	2	yes	maximal, complemented
6	C₃×#5659	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5657	C₂	1	2	yes	maximal, complemented
8	C₃×#5654	C₂	1	2	yes	maximal, complemented
9	C₃×#5653	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5613	C₂	1	2	yes	maximal, complemented
11	C₃×#5612	C₂	1	2	yes	maximal, complemented
12	C₃×#5610	C₂	1	2	yes	maximal, complemented
13	C₃×#5609	C₂	1	2	yes	maximal, complemented
14	C₃×#5607	C₂	1	2	yes	maximal, complemented
15	C₃×#5605	C₂	1	2	yes	maximal, complemented
16	C₃×#5595	C₂	1	2	yes	maximal, complemented
17	C₃×#5594	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×D₃×#120	C₂	1	2	yes	maximal, complemented
19	C₃×D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3532	—	3	1	no	maximal
21	#87080	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
25	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
26	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
27	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, 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	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
32	C₃²×#127	C₂²	1	1	yes	characteristic, complemented
33	C₃²×#126	C₂²	1	2	yes	complemented
34	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#123	C₂²	1	2	yes	complemented
36	C₃²×#121	C₂²	1	2	yes	complemented
37	C₃²×#121	C₂²	1	2	yes	complemented
38	C₃²×#121	C₂²	1	2	yes	complemented
39	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#120	C₂²	1	2	yes	complemented
41	C₃×#953	C₂²	1	2	yes	complemented
42	C₃×#953	C₂²	1	1	yes	characteristic, complemented
43	C₃×#940	C₂²	1	1	yes	characteristic, complemented
44	C₃×#940	C₂²	1	2	yes	complemented
45	C₃×#939	C₂²	1	2	yes	complemented
46	C₃×#939	C₂²	1	2	yes	complemented
47	C₃×#939	C₂²	1	2	yes	complemented
48	C₃×#938	C₂²	1	2	yes	complemented
49	C₃×#938	C₂²	1	2	yes	complemented
50	C₃×#938	C₂²	1	2	yes	complemented
51	C₃×#937	C₂²	1	1	yes	characteristic
52	C₃×#937	C₂²	1	2	yes	complemented
53	C₃×#937	C₂²	1	2	yes	complemented
54	C₃×#937	C₂²	1	2	yes	complemented
55	C₃×#937	C₂²	1	2	yes	complemented
56	C₃×#937	C₂²	1	2	yes	complemented
57	C₃×#937	C₂²	1	2	yes	complemented
58	C₃×#937	C₂²	1	2	yes	complemented
59	C₃×#937	C₂²	1	1	yes	characteristic, complemented
60	C₃×#936	C₂²	1	2	yes	complemented
61	C₃×#936	C₂²	1	1	yes	characteristic, complemented
62	C₃×#935	C₂²	1	2	yes	complemented
63	C₃×#930	C₂²	1	2	yes	complemented
64	C₃×#929	C₂²	1	1	yes	characteristic, complemented
65	C₃×C₄×#67	C₂²	1	2	yes	complemented
66	C₃×C₄×#67	C₂²	1	2	yes	complemented
67	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
68	C₃×#898	C₂²	1	2	yes	complemented
69	C₃×#897	C₂²	1	2	yes	complemented
70	C₃×#896	C₂²	1	2	yes	complemented
71	C₃×#896	C₂²	1	2	yes	complemented
72	C₃×#895	C₂²	1	2	yes	complemented
73	C₃×#895	C₂²	1	2	yes	complemented
74	C₃×#894	C₂²	1	2	yes	complemented
75	C₃×#894	C₂²	1	2	yes	complemented
76	C₃×#894	C₂²	1	2	yes	complemented
77	C₃×#893	C₂²	1	2	yes	complemented
78	C₃×#893	C₂²	1	2	yes	complemented
79	C₃×#892	C₂²	1	2	yes	complemented
80	C₃×#885	C₂²	1	2	yes	complemented
81	C₃×#885	C₂²	1	2	yes	complemented
82	C₃×#885	C₂²	1	2	yes	complemented
83	C₃×#885	C₂²	1	2	yes	complemented
84	C₃×#884	C₂²	1	2	yes	complemented
85	C₃×#884	C₂²	1	2	yes	complemented
86	C₃×#884	C₂²	1	2	yes	complemented
87	C₃×#883	C₂²	1	2	yes	complemented
88	C₃×#883	C₂²	1	2	yes	complemented
89	C₃×#883	C₂²	1	2	yes	complemented
90	C₃×#882	C₂²	1	2	yes	—
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×#882	C₂²	1	2	yes	complemented
96	C₃×#882	C₂²	1	1	yes	characteristic, complemented
97	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
98	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
99	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
100	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
101	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
102	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
103	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
104	C₃×#879	C₂²	1	2	yes	complemented
105	C₃×#879	C₂²	1	2	yes	complemented
106	C₃×#875	C₂²	1	1	yes	characteristic, 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	—	2	1	no	—
111	C₃×#560	—	3	2	no	—
112	C₃×#560	D₃	1	1	yes	characteristic, complemented
113	C₃×#560	C₂×C₃	1	1	yes	characteristic, complemented
114	C₃×#551	—	3	2	no	—
115	C₃×#551	—	3	1	no	—
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	1	no	—
127	C₃×#534	—	3	2	no	—
128	C₂×C₃×#120	—	3	1	no	—
129	C₂×C₃×#120	—	3	2	no	—
130	#5717	C₂×C₃	1	1	yes	characteristic, complemented
131	#5715	C₂×C₃	1	1	yes	characteristic, complemented
132	#5705	C₂×C₃	1	2	yes	complemented
133	#5704	C₂×C₃	1	2	yes	complemented
134	#5659	C₂×C₃	1	1	yes	characteristic, complemented
135	#5657	C₂×C₃	1	2	yes	complemented
136	#5654	C₂×C₃	1	2	yes	complemented
137	#5653	C₂×C₃	1	1	yes	characteristic, complemented
138	#5613	C₂×C₃	1	2	yes	complemented
139	#5612	C₂×C₃	1	2	yes	complemented
140	#5610	C₂×C₃	1	2	yes	complemented
141	#5609	C₂×C₃	1	2	yes	complemented
142	#5607	C₂×C₃	1	2	yes	complemented
143	#5605	C₂×C₃	1	2	yes	complemented
144	#5595	C₂×C₃	1	2	yes	complemented
145	#5594	C₂×C₃	1	1	yes	characteristic, complemented
146	D₃×#120	C₂×C₃	1	2	yes	complemented
147	D₃×#120	C₂×C₃	1	1	yes	characteristic, 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	1	yes	characteristic
156	C₂³×C₃×D₃	C₂³	1	2	yes	—
157	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic, complemented
158	C₂×C₃²×D₄	C₂³	1	2	yes	—
159	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
160	C₂×C₃²×D₄	C₂³	1	2	yes	—
161	C₂×C₃²×D₄	C₂³	1	2	yes	—
162	C₂×C₃²×D₄	C₂³	1	2	yes	—
163	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
164	C₂×C₃²×D₄	C₂³	1	2	yes	complemented
165	C₂²×C₃²×C₄	C₂³	1	2	yes	complemented
166	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
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	2	yes	—
171	C₂×C₃×#67	C₂³	1	2	yes	—
172	C₂×C₃×#67	C₂³	1	1	yes	characteristic
173	C₂×C₃×#67	C₂³	1	2	yes	—
174	C₂×C₃×#67	C₂³	1	2	yes	—
175	C₂×C₃×#67	C₂³	1	1	yes	characteristic
176	C₂×C₃×#67	C₂³	1	2	yes	—
177	C₂×C₃×#67	C₂³	1	2	yes	complemented
178	C₂×C₃×#67	C₂³	1	2	yes	complemented
179	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
180	C₃×#237	—	4	2	no	—
181	C₃×D₃×D₄	—	4	4	no	—
182	C₃×D₃×D₄	—	4	2	no	—
183	C₃×D₃×D₄	—	4	4	no	—
184	C₃×D₃×D₄	—	4	4	no	—
185	C₃×D₃×D₄	—	4	4	no	—
186	C₃×D₃×D₄	—	4	4	no	—
187	C₃×#235	—	4	4	no	—
188	C₂×C₃×D₁₂	—	4	2	no	—
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	2	yes	—
193	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
194	C₂×C₃×D₁₂	C₂³	1	2	yes	complemented
195	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
196	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	2	yes	complemented
207	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic, complemented
213	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
214	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
215	C₃×#217	C₂³	1	1	yes	characteristic
216	C₃×#217	C₂³	1	2	yes	—
217	C₃×#217	C₂³	1	2	yes	—
218	C₃×#217	C₂³	1	2	yes	—
219	C₃×#217	C₂³	1	2	yes	—
220	C₃×#217	C₂³	1	1	yes	characteristic, 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	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×C₄⋊Dic₃	C₂³	1	2	yes	complemented
238	C₃×C₄⋊Dic₃	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×Dic₃⋊C₄	C₂³	1	2	yes	complemented
243	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
244	C₃×C₄×Dic₃	C₂³	1	2	yes	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	—	3	1	no	—
252	C₂²×C₃×D₄	—	3	2	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	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
259	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
260	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
261	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
262	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
263	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
264	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
265	C₂×#235	C₂²×C₃	1	2	yes	complemented
266	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
267	C₃×#127	—	2	1	no	—
268	C₃×#127	—	3	2	no	—
269	C₃×#127	—	3	1	no	—
270	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
271	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
272	C₃×#126	—	2	2	no	—
273	C₃×#126	—	3	2	no	—
274	C₃×#126	—	3	2	no	—
275	C₃×#126	—	3	2	no	—
276	C₃×#126	C₂×D₃	1	2	yes	complemented
277	C₃×#126	C₂²×C₃	1	2	yes	complemented
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	—	3	2	no	—
284	C₃×#124	—	3	1	no	—
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	—	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	—	2	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	C₂×D₃	1	2	yes	complemented
320	C₃×#121	C₂²×C₃	1	2	yes	complemented
321	C₃×#121	C₂²×C₃	1	2	yes	complemented
322	C₃×#121	C₂²×C₃	1	2	yes	complemented
323	C₃×#120	—	2	2	no	—
324	C₃×#120	—	2	1	no	—
325	C₃×#120	—	3	1	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	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	2	no	—
338	C₃×#120	—	3	2	no	—
339	C₃×#120	—	3	2	no	—
340	C₃×#120	—	3	1	no	—
341	C₃×#120	—	3	1	no	—
342	C₃×#120	—	3	2	no	—
343	C₃×#120	C₂×D₃	1	2	yes	complemented
344	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
345	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
346	C₃×#120	C₂²×C₃	1	2	yes	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	2	no	—
354	C₃×#117	—	3	1	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	2	no	—
360	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
361	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
362	#953	C₂²×C₃	1	2	yes	complemented
363	#953	C₂²×C₃	1	1	yes	characteristic, complemented
364	#940	C₂²×C₃	1	1	yes	characteristic, complemented
365	#940	C₂²×C₃	1	2	yes	complemented
366	#939	C₂²×C₃	1	2	yes	complemented
367	#939	C₂²×C₃	1	2	yes	complemented
368	#939	C₂²×C₃	1	2	yes	complemented
369	#938	C₂²×C₃	1	2	yes	complemented
370	#938	C₂²×C₃	1	2	yes	complemented
371	#938	C₂²×C₃	1	2	yes	complemented
372	#937	C₂²×C₃	1	1	yes	characteristic
373	#937	C₂²×C₃	1	2	yes	complemented
374	#937	C₂²×C₃	1	2	yes	complemented
375	#937	C₂²×C₃	1	2	yes	complemented
376	#937	C₂²×C₃	1	2	yes	complemented
377	#937	C₂²×C₃	1	2	yes	complemented
378	#937	C₂²×C₃	1	2	yes	complemented
379	#937	C₂²×C₃	1	1	yes	characteristic, complemented
380	#937	C₂²×C₃	1	2	yes	complemented
381	#936	C₂²×C₃	1	1	yes	characteristic, complemented
382	#936	C₂²×C₃	1	2	yes	complemented
383	#935	C₂²×C₃	1	2	yes	complemented
384	#930	C₂²×C₃	1	2	yes	complemented
385	#929	C₂²×C₃	1	1	yes	characteristic, complemented
386	C₄×#67	C₂²×C₃	1	2	yes	complemented
387	C₄×#67	C₂²×C₃	1	2	yes	complemented
388	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
389	#898	C₂²×C₃	1	2	yes	complemented
390	#897	C₂²×C₃	1	2	yes	complemented
391	#896	C₂²×C₃	1	2	yes	complemented
392	#896	C₂²×C₃	1	2	yes	complemented
393	#895	C₂²×C₃	1	2	yes	complemented
394	#895	C₂²×C₃	1	2	yes	complemented
395	#894	C₂²×C₃	1	2	yes	complemented
396	#894	C₂²×C₃	1	2	yes	complemented
397	#894	C₂²×C₃	1	2	yes	complemented
398	#893	C₂²×C₃	1	2	yes	complemented
399	#893	C₂²×C₃	1	2	yes	complemented
400	#892	C₂²×C₃	1	2	yes	complemented
401	#885	C₂²×C₃	1	2	yes	complemented
402	#885	C₂²×C₃	1	2	yes	complemented
403	#885	C₂²×C₃	1	2	yes	complemented
404	#885	C₂²×C₃	1	2	yes	complemented
405	#884	C₂²×C₃	1	2	yes	complemented
406	#884	C₂²×C₃	1	2	yes	complemented
407	#884	C₂²×C₃	1	2	yes	complemented
408	#883	C₂²×C₃	1	2	yes	complemented
409	#883	C₂²×C₃	1	2	yes	complemented
410	#883	C₂²×C₃	1	2	yes	complemented
411	#882	C₂²×C₃	1	2	yes	—
412	#882	C₂²×C₃	1	2	yes	complemented
413	#882	C₂²×C₃	1	1	yes	characteristic, complemented
414	#882	C₂²×C₃	1	2	yes	complemented
415	#882	C₂²×C₃	1	2	yes	complemented
416	#882	C₂²×C₃	1	2	yes	complemented
417	#882	C₂²×C₃	1	1	yes	characteristic, complemented
418	#67⋊C₄	C₂²×C₃	1	2	yes	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	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
423	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
424	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
425	#879	C₂²×C₃	1	2	yes	complemented
426	#879	C₂²×C₃	1	2	yes	complemented
427	#875	C₂²×C₃	1	1	yes	characteristic, complemented
428	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
429	#872	C₂²×C₃	1	1	yes	characteristic, complemented
430	C₂³×C₃²	—	4	2	no	—
431	C₂³×C₃²	—	4	1	no	—
432	C₂³×C₃²	C₂⁴	1	2	yes	—
433	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
434	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
435	C₂³×C₃²	C₂⁴	1	2	yes	—
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	4	no	—
440	C₂²×C₃×D₃	—	2	2	no	—
441	C₂²×C₃×D₃	—	2	2	no	—
442	C₂²×C₃×D₃	—	2	4	no	—
443	C₂²×C₃×D₃	—	4	2	no	—
444	C₂²×C₃×D₃	—	4	1	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	2	no	—
451	C₂²×C₃×D₃	—	4	1	no	—
452	C₂²×C₃×D₃	—	4	2	no	—
453	C₂²×C₃×D₃	—	4	16	no	—
454	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
456	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
459	C₃²×D₄	—	4	1	no	—
460	C₃²×D₄	—	4	2	no	—
461	C₃²×D₄	—	4	2	no	—
462	C₃²×D₄	—	4	2	no	—
463	C₃²×D₄	—	4	2	no	—
464	C₃²×D₄	—	4	2	no	—
465	C₃²×D₄	—	4	1	no	—
466	C₂×C₃²×C₄	—	4	1	no	—
467	C₂×C₃²×C₄	—	4	2	no	—
468	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
469	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
470	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
471	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
472	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
473	C₃×#67	—	2	4	no	—
474	C₃×#67	—	2	4	no	—
475	C₃×#67	—	2	4	no	—
476	C₃×#67	—	4	2	no	—
477	C₃×#67	—	4	2	no	—
478	C₃×#67	—	4	2	no	—
479	C₃×#67	—	4	2	no	—
480	C₃×#67	—	4	2	no	—
481	C₃×#67	—	4	1	no	—
482	C₃×#67	—	4	1	no	—
483	C₃×#67	—	4	2	no	—
484	C₃×#67	—	4	2	no	—
485	C₂×C₃×Dic₃	—	4	2	no	—
486	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
487	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
488	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
489	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
490	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
491	C₃×D₁₂	—	2	4	no	—
492	C₃×D₁₂	—	2	4	no	—
493	C₃×D₁₂	—	2	4	no	—
494	C₃×D₁₂	—	4	2	no	—
495	C₃×D₁₂	—	4	1	no	—
496	C₃×D₁₂	—	4	2	no	—
497	C₃×C₄×D₃	—	2	4	no	—
498	C₃×C₄×D₃	—	2	2	no	—
499	C₃×C₄×D₃	—	4	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×Dic₆	—	4	2	no	—
505	C₃×Dic₆	—	4	1	no	—
506	H(3,𝔽₄)	—	3	1	no	—
507	#560	—	3	2	no	—
508	#560	C₃×D₃	1	1	yes	characteristic, complemented
509	#551	—	3	2	no	—
510	#551	—	3	1	no	—
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	1	no	—
522	#534	—	3	2	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	2	no	—
534	C₂⁴×C₃	—	12	4	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	1	yes	characteristic
542	C₂³×D₃	C₂³×C₃	1	2	yes	—
543	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
544	C₂³×D₃	C₂³×C₃	1	2	yes	—
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	—	3	2	no	—
549	C₂×C₃×Q₈	—	3	1	no	—
550	C₂×C₃×D₄	—	2	2	no	—
551	C₂×C₃×D₄	—	2	2	no	—
552	C₂×C₃×D₄	—	2	2	no	—
553	C₂×C₃×D₄	—	2	1	no	—
554	C₂×C₃×D₄	—	2	2	no	—
555	C₂×C₃×D₄	—	2	1	no	—
556	C₂×C₃×D₄	—	2	2	no	—
557	C₂×C₃×D₄	—	3	2	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	1	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	1	no	—
574	C₂×C₃×D₄	—	3	2	no	—
575	C₂×C₃×D₄	—	12	2	no	—
576	C₂×C₃×D₄	—	12	4	no	—
577	C₂×C₃×D₄	—	12	2	no	—
578	C₂×C₃×D₄	—	12	4	no	—
579	C₂×C₃×D₄	—	12	4	no	—
580	C₂×C₃×D₄	—	12	4	no	—
581	C₂×C₃×D₄	—	12	4	no	—
582	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
583	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
584	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
585	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
586	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
587	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
588	C₂×C₃×D₄	C₂²×D₃	1	2	yes	complemented
589	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
590	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
591	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
592	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
593	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
594	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
595	C₂×C₃×D₄	C₂³×C₃	1	2	yes	complemented
596	C₂²×C₃×C₄	—	2	2	no	—
597	C₂²×C₃×C₄	—	2	1	no	—
598	C₂²×C₃×C₄	—	3	2	no	—
599	C₂²×C₃×C₄	—	3	2	no	—
600	C₂²×C₃×C₄	—	3	1	no	—
601	C₂²×C₃×C₄	—	3	2	no	—
602	C₂²×C₃×C₄	—	3	2	no	—
603	C₂²×C₃×C₄	—	3	2	no	—
604	C₂²×C₃×C₄	—	3	2	no	—
605	C₂²×C₃×C₄	—	3	2	no	—
606	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	complemented
607	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
608	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	complemented
609	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
610	C₂×#67	C₂³×C₃	1	2	yes	—
611	C₂×#67	C₂³×C₃	1	2	yes	—
612	C₂×#67	C₂³×C₃	1	2	yes	—
613	C₂×#67	C₂³×C₃	1	2	yes	—
614	C₂×#67	C₂³×C₃	1	2	yes	—
615	C₂×#67	C₂³×C₃	1	1	yes	characteristic
616	C₂×#67	C₂³×C₃	1	2	yes	—
617	C₂×#67	C₂³×C₃	1	2	yes	—
618	C₂×#67	C₂³×C₃	1	1	yes	characteristic
619	C₂×#67	C₂³×C₃	1	2	yes	—
620	C₂×#67	C₂³×C₃	1	2	yes	complemented
621	C₂×#67	C₂³×C₃	1	2	yes	complemented
622	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
623	#237	—	4	2	no	—
624	D₃×D₄	—	4	4	no	—
625	D₃×D₄	—	4	2	no	—
626	D₃×D₄	—	4	4	no	—
627	D₃×D₄	—	4	4	no	—
628	D₃×D₄	—	4	4	no	—
629	D₃×D₄	—	4	4	no	—
630	#235	—	4	4	no	—
631	C₂×D₁₂	—	4	2	no	—
632	C₂×D₁₂	C₂³×C₃	1	2	yes	—
633	C₂×D₁₂	C₂³×C₃	1	2	yes	—
634	C₂×D₁₂	C₂³×C₃	1	2	yes	—
635	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
636	C₂×D₁₂	C₂³×C₃	1	2	yes	—
637	C₂×D₁₂	C₂³×C₃	1	2	yes	complemented
638	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
639	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
640	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
641	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
642	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
643	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
644	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
645	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
646	C₂×Dic₆	C₂³×C₃	1	2	yes	complemented
647	C₃×C₄⋊C₄	—	2	2	no	—
648	C₃×C₄⋊C₄	—	2	2	no	—
649	C₃×C₄⋊C₄	—	2	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	—	3	2	no	—
654	C₃×C₄⋊C₄	—	3	2	no	—
655	C₃×C₄⋊C₄	—	3	2	no	—
656	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
657	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
658	C₃×C₄⋊C₄	C₂²×D₃	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×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
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	1	no	—
668	C₃×C₂²⋊C₄	—	2	2	no	—
669	C₃×C₂²⋊C₄	—	3	1	no	—
670	C₃×C₂²⋊C₄	—	3	2	no	—
671	C₃×C₂²⋊C₄	—	3	2	no	—
672	C₃×C₂²⋊C₄	—	3	2	no	—
673	C₃×C₂²⋊C₄	—	3	2	no	—
674	C₃×C₂²⋊C₄	—	3	1	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	—	3	2	no	—
691	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
692	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
702	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
703	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
704	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
705	C₃×C₄²	—	2	1	no	—
706	C₃×C₄²	—	3	1	no	—
707	C₃×C₄²	—	3	2	no	—
708	C₃×C₄²	—	3	2	no	—
709	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
710	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
711	#217	C₂³×C₃	1	1	yes	characteristic
712	#217	C₂³×C₃	1	2	yes	—
713	#217	C₂³×C₃	1	2	yes	—
714	#217	C₂³×C₃	1	2	yes	—
715	#217	C₂³×C₃	1	2	yes	—
716	#217	C₂³×C₃	1	1	yes	characteristic, complemented
717	#217	C₂³×C₃	1	2	yes	complemented
718	#217	C₂³×C₃	1	2	yes	complemented
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	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
734	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
735	Dic₃⋊C₄	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	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
740	C₄×Dic₃	C₂³×C₃	1	2	yes	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	2	no	—
748	C₂²×C₃²	—	2	2	no	—
749	C₂²×C₃²	—	2	2	no	—
750	C₂²×C₃²	—	2	2	no	—
751	C₂²×C₃²	—	2	1	no	—
752	C₂²×C₃²	—	4	4	no	—
753	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
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	2	no	—
759	C₂×C₃×D₃	—	2	2	no	—
760	C₂×C₃×D₃	—	2	2	no	—
761	C₂×C₃×D₃	—	2	1	no	—
762	C₂×C₃×D₃	—	2	2	no	—
763	C₂×C₃×D₃	—	2	1	no	—
764	C₂×C₃×D₃	—	4	8	no	—
765	C₂×C₃×D₃	—	4	4	no	—
766	C₂×C₃×D₃	—	4	4	no	—
767	C₂×C₃×D₃	—	4	8	no	—
768	C₂×C₃×D₃	—	8	2	no	—
769	C₂×C₃×D₃	—	8	4	no	—
770	C₂×C₃×D₃	—	8	2	no	—
771	C₂×C₃×D₃	H(5,𝔽₂)	1	4	yes	—
772	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
773	C₃²×C₄	—	2	1	no	—
774	C₃²×C₄	—	2	2	no	—
775	C₃²×C₄	—	2	2	no	—
776	C₃²×C₄	—	2	2	no	—
777	C₃²×C₄	—	2	2	no	—
778	C₃×Dic₃	—	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	1	no	—
787	C₂²×D₄	—	3	2	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	2	no	—
794	#127	—	3	1	no	—
795	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
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	—	3	2	no	—
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	C₂×C₃×D₃	1	2	yes	complemented
833	#121	C₂×C₃×D₃	1	2	yes	complemented
834	#121	C₂×C₃×D₃	1	2	yes	complemented
835	#120	—	3	1	no	—
836	#120	—	3	2	no	—
837	#120	—	3	2	no	—
838	#120	—	3	2	no	—
839	#120	—	3	2	no	—
840	#120	—	3	1	no	—
841	#120	—	3	2	no	—
842	#120	—	3	1	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	2	no	—
849	#120	—	3	2	no	—
850	#120	—	3	1	no	—
851	#120	—	3	1	no	—
852	#120	—	3	2	no	—
853	#120	C₂×C₃×D₃	1	2	yes	complemented
854	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
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	—	3	2	no	—
861	#117	—	3	2	no	—
862	#117	—	3	1	no	—
863	C₂×C₂²⋊C₄	—	3	2	no	—
864	C₂×C₂²⋊C₄	—	3	1	no	—
865	C₂×C₂²⋊C₄	—	3	2	no	—
866	C₂×C₂²⋊C₄	—	3	2	no	—
867	C₂×C₂²⋊C₄	—	3	2	no	—
868	C₂×C₂²⋊C₄	—	3	2	no	—
869	C₂×C₂²⋊C₄	—	3	1	no	—
870	C₂³×C₃	—	2	2	no	—
871	C₂³×C₃	—	2	1	no	—
872	C₂³×C₃	—	2	1	no	—
873	C₂³×C₃	—	2	2	no	—
874	C₂³×C₃	—	3	1	no	—
875	C₂³×C₃	—	3	2	no	—
876	C₂³×C₃	—	3	1	no	—
877	C₂³×C₃	—	3	2	no	—
878	C₂³×C₃	—	3	1	no	—
879	C₂³×C₃	—	4	2	no	—
880	C₂³×C₃	—	4	1	no	—
881	C₂³×C₃	—	4	2	no	—
882	C₂³×C₃	—	4	1	no	—
883	C₂³×C₃	—	6	4	no	—
884	C₂³×C₃	—	6	4	no	—
885	C₂³×C₃	—	6	4	no	—
886	C₂³×C₃	—	6	2	no	—
887	C₂³×C₃	—	6	4	no	—
888	C₂³×C₃	—	6	2	no	—
889	C₂³×C₃	—	6	4	no	—
890	C₂³×C₃	—	8	2	no	—
891	C₂³×C₃	—	8	1	no	—
892	C₂³×C₃	—	12	2	no	—
893	C₂³×C₃	—	12	1	no	—
894	C₂³×C₃	—	12	2	no	—
895	C₂³×C₃	—	12	2	no	—
896	C₂³×C₃	—	12	2	no	—
897	C₂³×C₃	—	12	2	no	—
898	C₂³×C₃	—	12	1	no	—
899	C₂³×C₃	—	12	2	no	—
900	C₂³×C₃	—	12	2	no	—
901	C₂³×C₃	—	12	2	no	—
902	C₂³×C₃	—	12	16	no	—
903	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
904	C₂³×C₃	C₂³×D₃	1	2	yes	—
905	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
906	C₂³×C₃	C₂³×D₃	1	2	yes	—
907	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
908	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
909	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
910	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
911	C₂²×D₃	—	2	4	no	—
912	C₂²×D₃	—	2	4	no	—
913	C₂²×D₃	—	2	4	no	—
914	C₂²×D₃	—	2	4	no	—
915	C₂²×D₃	—	2	2	no	—
916	C₂²×D₃	—	2	2	no	—
917	C₂²×D₃	—	2	4	no	—
918	C₂²×D₃	—	4	2	no	—
919	C₂²×D₃	—	4	1	no	—
920	C₂²×D₃	—	4	2	no	—
921	C₂²×D₃	—	4	2	no	—
922	C₂²×D₃	—	4	2	no	—
923	C₂²×D₃	—	4	1	no	—
924	C₂²×D₃	—	4	2	no	—
925	C₂²×D₃	—	4	2	no	—
926	C₂²×D₃	—	4	2	no	—
927	C₂²×D₃	—	4	2	no	—
928	C₂²×D₃	—	4	16	no	—
929	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
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	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
934	C₃×Q₈	—	12	2	no	—
935	C₃×Q₈	—	12	1	no	—
936	C₃×D₄	—	4	1	no	—
937	C₃×D₄	—	4	2	no	—
938	C₃×D₄	—	4	2	no	—
939	C₃×D₄	—	4	2	no	—
940	C₃×D₄	—	4	2	no	—
941	C₃×D₄	—	4	2	no	—
942	C₃×D₄	—	4	1	no	—
943	C₃×D₄	—	4	2	no	—
944	C₃×D₄	—	4	2	no	—
945	C₃×D₄	—	4	2	no	—
946	C₃×D₄	—	4	1	no	—
947	C₃×D₄	—	4	2	no	—
948	C₃×D₄	—	4	2	no	—
949	C₃×D₄	—	4	1	no	—
950	C₃×D₄	—	6	4	no	—
951	C₃×D₄	—	6	4	no	—
952	C₃×D₄	—	6	4	no	—
953	C₃×D₄	—	6	4	no	—
954	C₃×D₄	—	6	4	no	—
955	C₃×D₄	—	6	4	no	—
956	C₃×D₄	—	8	2	no	—
957	C₃×D₄	—	8	2	no	—
958	C₃×D₄	—	8	2	no	—
959	C₃×D₄	—	8	1	no	—
960	C₃×D₄	—	8	2	no	—
961	C₃×D₄	—	8	2	no	—
962	C₃×D₄	—	8	1	no	—
963	C₃×D₄	—	12	2	no	—
964	C₃×D₄	—	12	2	no	—
965	C₃×D₄	—	12	1	no	—
966	C₃×D₄	—	12	1	no	—
967	C₃×D₄	—	12	1	no	—
968	C₃×D₄	—	12	2	no	—
969	C₃×D₄	—	12	2	no	—
970	C₃×D₄	—	12	2	no	—
971	C₃×D₄	—	12	2	no	—
972	C₃×D₄	—	12	2	no	—
973	C₃×D₄	—	12	2	no	—
974	C₃×D₄	—	12	2	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	2	no	—
977	C₂×C₃×C₄	—	2	2	no	—
978	C₂×C₃×C₄	—	2	2	no	—
979	C₂×C₃×C₄	—	2	2	no	—
980	C₂×C₃×C₄	—	3	2	no	—
981	C₂×C₃×C₄	—	3	2	no	—
982	C₂×C₃×C₄	—	3	2	no	—
983	C₂×C₃×C₄	—	3	2	no	—
984	C₂×C₃×C₄	—	3	1	no	—
985	C₂×C₃×C₄	—	4	1	no	—
986	C₂×C₃×C₄	—	4	2	no	—
987	C₂×C₃×C₄	—	4	1	no	—
988	C₂×C₃×C₄	—	4	2	no	—
989	C₂×C₃×C₄	—	6	4	no	—
990	C₂×C₃×C₄	—	6	2	no	—
991	C₂×C₃×C₄	—	8	1	no	—
992	C₂×C₃×C₄	—	8	2	no	—
993	C₂×C₃×C₄	—	12	2	no	—
994	C₂×C₃×C₄	—	12	2	no	—
995	C₂×C₃×C₄	—	12	2	no	—
996	C₂×C₃×C₄	—	12	2	no	—
997	C₂×C₃×C₄	—	12	2	no	—
998	C₂×C₃×C₄	—	12	2	no	—
999	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1000	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1001	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1002	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1003	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1004	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1005	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1006	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1007	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1008	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1009	#67	—	2	4	no	—
1010	#67	—	2	4	no	—
1011	#67	—	2	4	no	—
1012	#67	—	4	2	no	—
1013	#67	—	4	2	no	—
1014	#67	—	4	2	no	—
1015	#67	—	4	2	no	—
1016	#67	—	4	2	no	—
1017	#67	—	4	1	no	—
1018	#67	—	4	1	no	—
1019	#67	—	4	2	no	—
1020	#67	—	4	2	no	—
1021	C₂×Dic₃	—	4	2	no	—
1022	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1023	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1024	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1025	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1026	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1027	D₁₂	—	2	4	no	—
1028	D₁₂	—	2	4	no	—
1029	D₁₂	—	2	4	no	—
1030	D₁₂	—	4	2	no	—
1031	D₁₂	—	4	1	no	—
1032	D₁₂	—	4	2	no	—
1033	C₄×D₃	—	2	4	no	—
1034	C₄×D₃	—	2	2	no	—
1035	C₄×D₃	—	4	2	no	—
1036	C₄×D₃	—	4	2	no	—
1037	C₄×D₃	—	4	2	no	—
1038	C₄×D₃	—	4	2	no	—
1039	C₄×D₃	—	4	2	no	—
1040	Dic₆	—	4	2	no	—
1041	Dic₆	—	4	1	no	—
1042	C₂×C₃²	—	4	2	no	—
1043	C₂×C₃²	—	4	1	no	—
1044	C₂×C₃²	—	4	1	no	—
1045	C₂×C₃²	—	4	2	no	—
1046	C₂×C₃²	C₂×H(5,𝔽₂)	1	2	yes	—
1047	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1048	C₃×D₃	—	2	2	no	—
1049	C₃×D₃	—	2	4	no	—
1050	C₃×D₃	—	4	1	no	—
1051	C₃×D₃	—	4	1	no	—
1052	C₃×D₃	—	4	2	no	—
1053	C₂⁴	—	3	1	no	—
1054	C₂⁴	—	3	2	no	—
1055	C₂⁴	—	3	2	no	—
1056	C₂⁴	—	3	1	no	—
1057	C₂⁴	—	3	2	no	—
1058	C₂⁴	—	3	1	no	—
1059	C₂⁴	—	3	1	no	—
1060	C₂⁴	—	12	2	no	—
1061	C₂⁴	—	12	4	no	—
1062	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1063	#41	—	12	4	no	—
1064	#41	—	12	2	no	—
1065	C₂×Q₈	—	3	2	no	—
1066	C₂×Q₈	—	3	1	no	—
1067	C₂×D₄	—	3	2	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	1	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	2	no	—
1082	C₂×D₄	—	3	2	no	—
1083	C₂×D₄	—	3	1	no	—
1084	C₂×D₄	—	3	2	no	—
1085	C₂×D₄	—	12	2	no	—
1086	C₂×D₄	—	12	4	no	—
1087	C₂×D₄	—	12	2	no	—
1088	C₂×D₄	—	12	4	no	—
1089	C₂×D₄	—	12	4	no	—
1090	C₂×D₄	—	12	4	no	—
1091	C₂×D₄	—	12	4	no	—
1092	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1093	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1094	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1095	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1096	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1097	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1098	C₂×D₄	C₂²×C₃×D₃	1	2	yes	complemented
1099	C₂²×C₄	—	3	2	no	—
1100	C₂²×C₄	—	3	2	no	—
1101	C₂²×C₄	—	3	1	no	—
1102	C₂²×C₄	—	3	2	no	—
1103	C₂²×C₄	—	3	2	no	—
1104	C₂²×C₄	—	3	2	no	—
1105	C₂²×C₄	—	3	2	no	—
1106	C₂²×C₄	—	3	2	no	—
1107	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	complemented
1108	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1109	C₄⋊C₄	—	3	2	no	—
1110	C₄⋊C₄	—	3	2	no	—
1111	C₄⋊C₄	—	3	2	no	—
1112	C₄⋊C₄	—	3	2	no	—
1113	C₄⋊C₄	—	3	2	no	—
1114	C₄⋊C₄	—	3	2	no	—
1115	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1116	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1117	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1118	C₂²⋊C₄	—	3	1	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	1	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	—	3	2	no	—
1137	C₂²⋊C₄	—	3	2	no	—
1138	C₂²⋊C₄	—	3	2	no	—
1139	C₂²⋊C₄	—	3	2	no	—
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	2	yes	—
1143	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1144	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1145	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1146	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1147	C₄²	—	3	1	no	—
1148	C₄²	—	3	2	no	—
1149	C₄²	—	3	2	no	—
1150	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1151	C₂²×C₃	—	2	2	no	—
1152	C₂²×C₃	—	2	1	no	—
1153	C₂²×C₃	—	2	2	no	—
1154	C₂²×C₃	—	2	2	no	—
1155	C₂²×C₃	—	2	2	no	—
1156	C₂²×C₃	—	2	2	no	—
1157	C₂²×C₃	—	2	2	no	—
1158	C₂²×C₃	—	2	2	no	—
1159	C₂²×C₃	—	2	2	no	—
1160	C₂²×C₃	—	2	1	no	—
1161	C₂²×C₃	—	2	2	no	—
1162	C₂²×C₃	—	2	2	no	—
1163	C₂²×C₃	—	2	2	no	—
1164	C₂²×C₃	—	2	2	no	—
1165	C₂²×C₃	—	2	1	no	—
1166	C₂²×C₃	—	2	2	no	—
1167	C₂²×C₃	—	2	2	no	—
1168	C₂²×C₃	—	2	2	no	—
1169	C₂²×C₃	—	2	2	no	—
1170	C₂²×C₃	—	2	1	no	—
1171	C₂²×C₃	—	2	1	no	—
1172	C₂²×C₃	—	3	2	no	—
1173	C₂²×C₃	—	3	4	no	—
1174	C₂²×C₃	—	4	2	no	—
1175	C₂²×C₃	—	4	1	no	—
1176	C₂²×C₃	—	4	2	no	—
1177	C₂²×C₃	—	4	2	no	—
1178	C₂²×C₃	—	4	2	no	—
1179	C₂²×C₃	—	4	2	no	—
1180	C₂²×C₃	—	4	2	no	—
1181	C₂²×C₃	—	4	2	no	—
1182	C₂²×C₃	—	4	2	no	—
1183	C₂²×C₃	—	4	1	no	—
1184	C₂²×C₃	—	4	4	no	—
1185	C₂²×C₃	—	4	4	no	—
1186	C₂²×C₃	—	6	2	no	—
1187	C₂²×C₃	—	6	2	no	—
1188	C₂²×C₃	—	6	2	no	—
1189	C₂²×C₃	—	6	2	no	—
1190	C₂²×C₃	—	6	2	no	—
1191	C₂²×C₃	—	6	2	no	—
1192	C₂²×C₃	—	6	2	no	—
1193	C₂²×C₃	—	6	1	no	—
1194	C₂²×C₃	—	6	2	no	—
1195	C₂²×C₃	—	6	1	no	—
1196	C₂²×C₃	—	8	4	no	—
1197	C₂²×C₃	—	12	8	no	—
1198	C₂²×C₃	—	12	4	no	—
1199	C₂²×C₃	—	12	4	no	—
1200	C₂²×C₃	—	12	8	no	—
1201	C₂²×C₃	—	24	2	no	—
1202	C₂²×C₃	—	24	4	no	—
1203	C₂²×C₃	—	24	2	no	—
1204	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1205	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
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	2	no	—
1211	C₂×D₃	—	2	2	no	—
1212	C₂×D₃	—	2	2	no	—
1213	C₂×D₃	—	2	1	no	—
1214	C₂×D₃	—	2	2	no	—
1215	C₂×D₃	—	2	1	no	—
1216	C₂×D₃	—	4	8	no	—
1217	C₂×D₃	—	4	4	no	—
1218	C₂×D₃	—	4	8	no	—
1219	C₂×D₃	—	4	4	no	—
1220	C₂×D₃	—	8	4	no	—
1221	C₂×D₃	—	8	2	no	—
1222	C₂×D₃	—	8	2	no	—
1223	C₂×D₃	C₃×H(5,𝔽₂)	1	4	yes	—
1224	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
1225	C₃×C₄	—	2	2	no	—
1226	C₃×C₄	—	2	2	no	—
1227	C₃×C₄	—	2	2	no	—
1228	C₃×C₄	—	2	1	no	—
1229	C₃×C₄	—	2	2	no	—
1230	C₃×C₄	—	2	1	no	—
1231	C₃×C₄	—	2	2	no	—
1232	C₃×C₄	—	2	2	no	—
1233	C₃×C₄	—	2	2	no	—
1234	C₃×C₄	—	2	2	no	—
1235	C₃×C₄	—	4	2	no	—
1236	C₃×C₄	—	4	2	no	—
1237	C₃×C₄	—	4	2	no	—
1238	C₃×C₄	—	4	1	no	—
1239	C₃×C₄	—	4	2	no	—
1240	C₃×C₄	—	6	1	no	—
1241	C₃×C₄	—	6	2	no	—
1242	C₃×C₄	—	6	2	no	—
1243	C₃×C₄	—	6	2	no	—
1244	C₃×C₄	—	6	2	no	—
1245	Dic₃	—	2	2	no	—
1246	Dic₃	—	2	2	no	—
1247	Dic₃	—	2	2	no	—
1248	Dic₃	—	2	1	no	—
1249	Dic₃	—	2	2	no	—
1250	C₃²	#3532	1	1	yes	characteristic, complemented, Sylow
1251	C₂³	—	3	1	no	—
1252	C₂³	—	3	2	no	—
1253	C₂³	—	3	1	no	—
1254	C₂³	—	3	2	no	—
1255	C₂³	—	3	1	no	—
1256	C₂³	—	4	2	no	—
1257	C₂³	—	4	1	no	—
1258	C₂³	—	6	4	no	—
1259	C₂³	—	6	4	no	—
1260	C₂³	—	6	4	no	—
1261	C₂³	—	6	2	no	—
1262	C₂³	—	6	4	no	—
1263	C₂³	—	6	2	no	—
1264	C₂³	—	6	4	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	2	no	—
1271	C₂³	—	12	1	no	—
1272	C₂³	—	12	2	no	—
1273	C₂³	—	12	2	no	—
1274	C₂³	—	12	2	no	—
1275	C₂³	—	12	16	no	—
1276	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1277	C₂³	C₂³×C₃×D₃	1	2	yes	—
1278	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1279	C₂³	C₂³×C₃×D₃	1	2	yes	—
1280	Q₈	—	12	2	no	—
1281	Q₈	—	12	1	no	—
1282	D₄	—	4	2	no	—
1283	D₄	—	4	2	no	—
1284	D₄	—	4	2	no	—
1285	D₄	—	4	1	no	—
1286	D₄	—	4	2	no	—
1287	D₄	—	4	2	no	—
1288	D₄	—	4	1	no	—
1289	D₄	—	6	4	no	—
1290	D₄	—	6	4	no	—
1291	D₄	—	6	4	no	—
1292	D₄	—	6	4	no	—
1293	D₄	—	6	4	no	—
1294	D₄	—	6	4	no	—
1295	D₄	—	12	2	no	—
1296	D₄	—	12	2	no	—
1297	D₄	—	12	1	no	—
1298	D₄	—	12	1	no	—
1299	D₄	—	12	1	no	—
1300	D₄	—	12	2	no	—
1301	D₄	—	12	2	no	—
1302	D₄	—	12	2	no	—
1303	D₄	—	12	2	no	—
1304	D₄	—	12	2	no	—
1305	D₄	—	12	2	no	—
1306	D₄	—	12	2	no	—
1307	C₂×C₄	—	3	2	no	—
1308	C₂×C₄	—	3	2	no	—
1309	C₂×C₄	—	3	2	no	—
1310	C₂×C₄	—	3	2	no	—
1311	C₂×C₄	—	3	1	no	—
1312	C₂×C₄	—	4	1	no	—
1313	C₂×C₄	—	4	2	no	—
1314	C₂×C₄	—	6	4	no	—
1315	C₂×C₄	—	6	2	no	—
1316	C₂×C₄	—	12	2	no	—
1317	C₂×C₄	—	12	2	no	—
1318	C₂×C₄	—	12	2	no	—
1319	C₂×C₄	—	12	2	no	—
1320	C₂×C₄	—	12	2	no	—
1321	C₂×C₄	—	12	2	no	—
1322	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1323	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1324	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1325	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1326	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1327	C₂×C₃	—	2	2	no	—
1328	C₂×C₃	—	2	1	no	—
1329	C₂×C₃	—	4	2	no	—
1330	C₂×C₃	—	4	1	no	—
1331	C₂×C₃	—	4	1	no	—
1332	C₂×C₃	—	4	2	no	—
1333	C₂×C₃	—	4	2	no	—
1334	C₂×C₃	—	4	1	no	—
1335	C₂×C₃	—	4	1	no	—
1336	C₂×C₃	—	4	2	no	—
1337	C₂×C₃	—	6	2	no	—
1338	C₂×C₃	—	6	4	no	—
1339	C₂×C₃	—	8	2	no	—
1340	C₂×C₃	—	8	1	no	—
1341	C₂×C₃	—	8	1	no	—
1342	C₂×C₃	—	8	2	no	—
1343	C₂×C₃	—	12	1	no	—
1344	C₂×C₃	—	12	2	no	—
1345	C₂×C₃	—	12	1	no	—
1346	C₂×C₃	D₃×H(5,𝔽₂)	1	2	yes	—
1347	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1348	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1349	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1350	D₃	—	2	4	no	—
1351	D₃	—	2	2	no	—
1352	D₃	—	4	1	no	—
1353	D₃	—	4	2	no	—
1354	D₃	—	4	1	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	2	2	no	—
1358	C₂²	—	2	2	no	—
1359	C₂²	—	2	2	no	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	3	2	no	—
1366	C₂²	—	3	4	no	—
1367	C₂²	—	4	4	no	—
1368	C₂²	—	6	2	no	—
1369	C₂²	—	6	2	no	—
1370	C₂²	—	6	2	no	—
1371	C₂²	—	6	2	no	—
1372	C₂²	—	6	2	no	—
1373	C₂²	—	6	2	no	—
1374	C₂²	—	6	2	no	—
1375	C₂²	—	6	1	no	—
1376	C₂²	—	6	2	no	—
1377	C₂²	—	6	1	no	—
1378	C₂²	—	12	8	no	—
1379	C₂²	—	12	4	no	—
1380	C₂²	—	12	4	no	—
1381	C₂²	—	12	8	no	—
1382	C₂²	—	24	2	no	—
1383	C₂²	—	24	4	no	—
1384	C₂²	—	24	2	no	—
1385	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1386	C₄	—	2	2	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	2	2	no	—
1389	C₄	—	2	1	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	6	1	no	—
1392	C₄	—	6	2	no	—
1393	C₄	—	6	2	no	—
1394	C₄	—	6	2	no	—
1395	C₄	—	6	2	no	—
1396	C₃	—	2	1	no	—
1397	C₃	#87080	1	1	yes	characteristic, direct product factor
1398	C₃	C₃×#3532	1	1	yes	characteristic, complemented
1399	C₂	—	4	2	no	—
1400	C₂	—	4	1	no	—
1401	C₂	—	4	1	no	—
1402	C₂	—	4	2	no	—
1403	C₂	—	6	2	no	—
1404	C₂	—	6	4	no	—
1405	C₂	—	12	1	no	—
1406	C₂	—	12	2	no	—
1407	C₂	—	12	1	no	—
1408	C₂	C₃×D₃×H(5,𝔽₂)	1	2	yes	—
1409	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×#560	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#560	D₃
hypocenter	C₃	C₃×#3532
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#560

Complements

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

N	H ≅ G/N	type
1. C₃²×#560	C₂	semidirect
2. C₃×#5717	C₂	semidirect
3. C₃×#5715	C₂	semidirect
4. C₃×#5705	C₂	semidirect
5. C₃×#5704	C₂	semidirect
6. C₃×#5659	C₂	semidirect
7. C₃×#5657	C₂	semidirect
8. C₃×#5654	C₂	semidirect
9. C₃×#5653	C₂	semidirect
10. C₃×#5613	C₂	semidirect
11. C₃×#5612	C₂	semidirect
12. C₃×#5610	C₂	semidirect
13. C₃×#5609	C₂	semidirect
14. C₃×#5607	C₂	semidirect
15. C₃×#5605	C₂	semidirect
16. C₃×#5595	C₂	semidirect
17. C₃×#5594	C₂	semidirect
18. C₃×D₃×#120	C₂	semidirect
19. C₃×D₃×#120	C₂	semidirect
21. #87080	C₃	direct (N × H)
22. C₂⁴×C₃×D₃	C₂²	semidirect
23. C₂×C₃×#237	C₂²	semidirect
24. C₂×C₃×D₃×D₄	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×D₃×D₄	C₂²	semidirect
29. C₂×C₃×D₃×D₄	C₂²	semidirect
30. C₂×C₃×#235	C₂²	semidirect
31. C₂²×C₃×D₁₂	C₂²	semidirect
32. C₃²×#127	C₂²	semidirect
33. C₃²×#126	C₂²	semidirect
34. C₃²×#123	C₂²	semidirect
35. C₃²×#123	C₂²	semidirect
36. C₃²×#121	C₂²	semidirect
37. C₃²×#121	C₂²	semidirect
38. C₃²×#121	C₂²	semidirect
39. C₃²×#120	C₂²	semidirect
40. C₃²×#120	C₂²	semidirect
41. C₃×#953	C₂²	semidirect
42. C₃×#953	C₂²	semidirect
43. C₃×#940	C₂²	semidirect
44. C₃×#940	C₂²	semidirect
45. C₃×#939	C₂²	semidirect
46. C₃×#939	C₂²	semidirect
47. C₃×#939	C₂²	semidirect
48. C₃×#938	C₂²	semidirect
49. C₃×#938	C₂²	semidirect
50. C₃×#938	C₂²	semidirect
52. C₃×#937	C₂²	semidirect
53. C₃×#937	C₂²	semidirect
54. C₃×#937	C₂²	semidirect
55. C₃×#937	C₂²	semidirect
56. C₃×#937	C₂²	semidirect
57. C₃×#937	C₂²	semidirect
58. C₃×#937	C₂²	semidirect
59. C₃×#937	C₂²	semidirect
60. C₃×#936	C₂²	semidirect
61. C₃×#936	C₂²	semidirect
62. C₃×#935	C₂²	semidirect
63. C₃×#930	C₂²	semidirect
64. C₃×#929	C₂²	semidirect
65. C₃×C₄×#67	C₂²	semidirect
66. C₃×C₄×#67	C₂²	semidirect
67. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
68. C₃×#898	C₂²	semidirect
69. C₃×#897	C₂²	semidirect
70. C₃×#896	C₂²	semidirect
71. C₃×#896	C₂²	semidirect
72. C₃×#895	C₂²	semidirect
73. C₃×#895	C₂²	semidirect
74. C₃×#894	C₂²	semidirect
75. C₃×#894	C₂²	semidirect
76. C₃×#894	C₂²	semidirect
77. C₃×#893	C₂²	semidirect
78. C₃×#893	C₂²	semidirect
79. C₃×#892	C₂²	semidirect
80. C₃×#885	C₂²	semidirect
81. C₃×#885	C₂²	semidirect
82. C₃×#885	C₂²	semidirect
83. C₃×#885	C₂²	semidirect
84. C₃×#884	C₂²	semidirect
85. C₃×#884	C₂²	semidirect
86. C₃×#884	C₂²	semidirect
87. C₃×#883	C₂²	semidirect
88. C₃×#883	C₂²	semidirect
89. C₃×#883	C₂²	semidirect
91. C₃×#882	C₂²	semidirect
92. C₃×#882	C₂²	semidirect
93. C₃×#882	C₂²	semidirect
94. C₃×#882	C₂²	semidirect
95. C₃×#882	C₂²	semidirect
96. C₃×#882	C₂²	semidirect
97. C₃×#67⋊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×D₃×C₂²⋊C₄	C₂²	semidirect
102. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
103. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
104. C₃×#879	C₂²	semidirect
105. C₃×#879	C₂²	semidirect
106. C₃×#875	C₂²	semidirect
107. C₃×C₄×D₁₂	C₂²	semidirect
108. C₃×#872	C₂²	semidirect
112. C₃×#560	D₃	semidirect
113. C₃×#560	C₂×C₃	semidirect
130. #5717	C₂×C₃	semidirect
131. #5715	C₂×C₃	semidirect
132. #5705	C₂×C₃	semidirect
133. #5704	C₂×C₃	semidirect
134. #5659	C₂×C₃	semidirect
135. #5657	C₂×C₃	semidirect
136. #5654	C₂×C₃	semidirect
137. #5653	C₂×C₃	semidirect
138. #5613	C₂×C₃	semidirect
139. #5612	C₂×C₃	semidirect
140. #5610	C₂×C₃	semidirect
141. #5609	C₂×C₃	semidirect
142. #5607	C₂×C₃	semidirect
143. #5605	C₂×C₃	semidirect
144. #5595	C₂×C₃	semidirect
145. #5594	C₂×C₃	semidirect
146. D₃×#120	C₂×C₃	semidirect
147. D₃×#120	C₂×C₃	semidirect
157. C₂³×C₃×D₃	C₂³	semidirect
163. C₂×C₃²×D₄	C₂³	semidirect
164. C₂×C₃²×D₄	C₂³	semidirect
165. C₂²×C₃²×C₄	C₂³	semidirect
166. C₂²×C₃²×C₄	C₂³	semidirect
177. C₂×C₃×#67	C₂³	semidirect
178. C₂×C₃×#67	C₂³	semidirect
179. C₂²×C₃×Dic₃	C₂³	semidirect
194. 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
206. C₃²×C₄⋊C₄	C₂³	semidirect
212. C₃²×C₂²⋊C₄	C₂³	semidirect
213. C₃²×C₂²⋊C₄	C₂³	semidirect
214. C₃²×C₄²	C₂³	semidirect
220. C₃×#217	C₂³	semidirect
221. C₃×#217	C₂³	semidirect
222. 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×C₄⋊Dic₃	C₂³	semidirect
238. C₃×C₄⋊Dic₃	C₂³	semidirect
239. C₃×Dic₃⋊C₄	C₂³	semidirect
240. C₃×Dic₃⋊C₄	C₂³	semidirect
241. C₃×Dic₃⋊C₄	C₂³	semidirect
242. C₃×Dic₃⋊C₄	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. C₂×#237	C₂²×C₃	semidirect
259. C₂×D₃×D₄	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×D₃×D₄	C₂²×C₃	semidirect
264. C₂×D₃×D₄	C₂²×C₃	semidirect
265. C₂×#235	C₂²×C₃	semidirect
266. C₂²×D₁₂	C₂²×C₃	semidirect
270. C₃×#127	C₂×D₃	semidirect
271. C₃×#127	C₂²×C₃	semidirect
276. C₃×#126	C₂×D₃	semidirect
277. C₃×#126	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
317. C₃×#121	C₂×D₃	semidirect
318. C₃×#121	C₂×D₃	semidirect
319. C₃×#121	C₂×D₃	semidirect
320. C₃×#121	C₂²×C₃	semidirect
321. C₃×#121	C₂²×C₃	semidirect
322. C₃×#121	C₂²×C₃	semidirect
343. C₃×#120	C₂×D₃	semidirect
344. C₃×#120	C₂×D₃	semidirect
345. C₃×#120	C₂²×C₃	semidirect
346. C₃×#120	C₂²×C₃	semidirect
362. #953	C₂²×C₃	semidirect
363. #953	C₂²×C₃	semidirect
364. #940	C₂²×C₃	semidirect
365. #940	C₂²×C₃	semidirect
366. #939	C₂²×C₃	semidirect
367. #939	C₂²×C₃	semidirect
368. #939	C₂²×C₃	semidirect
369. #938	C₂²×C₃	semidirect
370. #938	C₂²×C₃	semidirect
371. #938	C₂²×C₃	semidirect
373. #937	C₂²×C₃	semidirect
374. #937	C₂²×C₃	semidirect
375. #937	C₂²×C₃	semidirect
376. #937	C₂²×C₃	semidirect
377. #937	C₂²×C₃	semidirect
378. #937	C₂²×C₃	semidirect
379. #937	C₂²×C₃	semidirect
380. #937	C₂²×C₃	semidirect
381. #936	C₂²×C₃	semidirect
382. #936	C₂²×C₃	semidirect
383. #935	C₂²×C₃	semidirect
384. #930	C₂²×C₃	semidirect
385. #929	C₂²×C₃	semidirect
386. C₄×#67	C₂²×C₃	semidirect
387. C₄×#67	C₂²×C₃	semidirect
388. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
389. #898	C₂²×C₃	semidirect
390. #897	C₂²×C₃	semidirect
391. #896	C₂²×C₃	semidirect
392. #896	C₂²×C₃	semidirect
393. #895	C₂²×C₃	semidirect
394. #895	C₂²×C₃	semidirect
395. #894	C₂²×C₃	semidirect
396. #894	C₂²×C₃	semidirect
397. #894	C₂²×C₃	semidirect
398. #893	C₂²×C₃	semidirect
399. #893	C₂²×C₃	semidirect
400. #892	C₂²×C₃	semidirect
401. #885	C₂²×C₃	semidirect
402. #885	C₂²×C₃	semidirect
403. #885	C₂²×C₃	semidirect
404. #885	C₂²×C₃	semidirect
405. #884	C₂²×C₃	semidirect
406. #884	C₂²×C₃	semidirect
407. #884	C₂²×C₃	semidirect
408. #883	C₂²×C₃	semidirect
409. #883	C₂²×C₃	semidirect
410. #883	C₂²×C₃	semidirect
412. #882	C₂²×C₃	semidirect
413. #882	C₂²×C₃	semidirect
414. #882	C₂²×C₃	semidirect
415. #882	C₂²×C₃	semidirect
416. #882	C₂²×C₃	semidirect
417. #882	C₂²×C₃	semidirect
418. #67⋊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. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
423. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
424. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
425. #879	C₂²×C₃	semidirect
426. #879	C₂²×C₃	semidirect
427. #875	C₂²×C₃	semidirect
428. C₄×D₁₂	C₂²×C₃	semidirect
429. #872	C₂²×C₃	semidirect
508. #560	C₃×D₃	semidirect
545. C₂³×D₃	C₂³×C₃	semidirect
587. C₂×C₃×D₄	C₂²×D₃	semidirect
588. C₂×C₃×D₄	C₂²×D₃	semidirect
594. C₂×C₃×D₄	C₂³×C₃	semidirect
595. C₂×C₃×D₄	C₂³×C₃	semidirect
606. C₂²×C₃×C₄	C₂²×D₃	semidirect
607. C₂²×C₃×C₄	C₂²×D₃	semidirect
608. C₂²×C₃×C₄	C₂³×C₃	semidirect
609. C₂²×C₃×C₄	C₂³×C₃	semidirect
620. C₂×#67	C₂³×C₃	semidirect
621. C₂×#67	C₂³×C₃	semidirect
622. C₂²×Dic₃	C₂³×C₃	semidirect
637. C₂×D₁₂	C₂³×C₃	semidirect
643. C₂×C₄×D₃	C₂³×C₃	semidirect
644. C₂×C₄×D₃	C₂³×C₃	semidirect
645. C₂×Dic₆	C₂³×C₃	semidirect
646. C₂×Dic₆	C₂³×C₃	semidirect
656. C₃×C₄⋊C₄	C₂²×D₃	semidirect
657. C₃×C₄⋊C₄	C₂²×D₃	semidirect
658. C₃×C₄⋊C₄	C₂²×D₃	semidirect
659. C₃×C₄⋊C₄	C₂³×C₃	semidirect
660. C₃×C₄⋊C₄	C₂³×C₃	semidirect
661. C₃×C₄⋊C₄	C₂³×C₃	semidirect
696. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
697. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
703. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
704. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
709. C₃×C₄²	C₂²×D₃	semidirect
710. C₃×C₄²	C₂³×C₃	semidirect
716. #217	C₂³×C₃	semidirect
717. #217	C₂³×C₃	semidirect
718. #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. C₄⋊Dic₃	C₂³×C₃	semidirect
734. C₄⋊Dic₃	C₂³×C₃	semidirect
735. Dic₃⋊C₄	C₂³×C₃	semidirect
736. Dic₃⋊C₄	C₂³×C₃	semidirect
737. Dic₃⋊C₄	C₂³×C₃	semidirect
738. Dic₃⋊C₄	C₂³×C₃	semidirect
739. C₄×Dic₃	C₂³×C₃	semidirect
740. C₄×Dic₃	C₂³×C₃	semidirect
741. C₄×Dic₃	C₂³×C₃	semidirect
795. #127	C₂×C₃×D₃	semidirect
799. #126	C₂×C₃×D₃	semidirect
815. #123	C₂×C₃×D₃	semidirect
816. #123	C₂×C₃×D₃	semidirect
832. #121	C₂×C₃×D₃	semidirect
833. #121	C₂×C₃×D₃	semidirect
834. #121	C₂×C₃×D₃	semidirect
853. #120	C₂×C₃×D₃	semidirect
854. #120	C₂×C₃×D₃	semidirect
1097. C₂×D₄	C₂²×C₃×D₃	semidirect
1098. C₂×D₄	C₂²×C₃×D₃	semidirect
1107. C₂²×C₄	C₂²×C₃×D₃	semidirect
1108. C₂²×C₄	C₂²×C₃×D₃	semidirect
1115. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1116. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1117. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1145. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1146. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1150. C₄²	C₂²×C₃×D₃	semidirect
1250. C₃²	#3532	semidirect
1397. C₃	#87080	direct (N × H)
1398. 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×#560	2
C₃×#5717	2
C₃×#5715	2
C₃×#5705	2
C₃×#5704	2
C₃×#5659	2
C₃×#5657	2
C₃×#5654	2
C₃×#5653	2
C₃×#5613	2
C₃×#5612	2
C₃×#5610	2
C₃×#5609	2
C₃×#5607	2
C₃×#5605	2
C₃×#5595	2
C₃×#5594	2
C₃×D₃×#120	2
C₃×#3532	3
#87080	3

Subgroups — C3×#87080 #11910497

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#87080 #11910497