Subgroups — C₃×#86620 #11904269

Order 1152.

4014 conjugacy classes of subgroups.

The subgroup lattice has 1777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#1004	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×D₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×D₄×#67	C₂	1	2	yes	maximal, complemented
7	C₂×C₃×#937	C₂	1	2	yes	maximal, complemented
8	C₃×#5717	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5715	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5612	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5610	C₂	1	2	yes	maximal, complemented
12	C₃×#5609	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5607	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5606	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5605	C₂	1	2	yes	maximal, complemented
16	C₃×#5591	C₂	1	2	yes	maximal, complemented
17	C₃×#5590	C₂	1	2	yes	maximal, complemented
18	C₃×#5589	C₂	1	2	yes	maximal, complemented
19	C₃×D₃×#120	C₂	1	2	yes	maximal, complemented
20	C₃×#5554	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5545	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3484	—	3	1	no	maximal
25	#86620	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂⁴×C₃×D₃	C₂²	1	2	yes	complemented
27	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
28	C₂²×C₃²×D₄	C₂²	1	2	yes	complemented
29	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₃×#67	C₂²	1	2	yes	complemented
31	C₂²×C₃×#67	C₂²	1	2	yes	complemented
32	C₂²×C₃×#67	C₂²	1	2	yes	complemented
33	C₂²×C₃×#67	C₂²	1	2	yes	complemented
34	C₃×#1004	—	2	8	no	—
35	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×#237	C₂²	1	2	yes	complemented
37	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×D₃×D₄	—	2	8	no	—
39	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
42	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
43	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
46	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
47	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
48	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
52	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#127	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
55	C₃²×#121	C₂²	1	2	yes	complemented
56	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
57	C₃²×#120	C₂²	1	2	yes	complemented
58	C₃²×#120	C₂²	1	2	yes	complemented
59	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
60	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
61	C₃×#953	C₂²	1	2	yes	complemented
62	C₃×#953	C₂²	1	2	yes	complemented
63	C₂×C₃×#217	C₂²	1	2	yes	complemented
64	C₃×#940	C₂²	1	1	yes	characteristic, complemented
65	C₃×#940	C₂²	1	2	yes	complemented
66	C₃×#939	C₂²	1	1	yes	characteristic, complemented
67	C₃×#939	C₂²	1	2	yes	complemented
68	C₃×#939	C₂²	1	2	yes	complemented
69	C₃×#939	C₂²	1	2	yes	complemented
70	C₃×#939	C₂²	1	2	yes	complemented
71	C₃×#938	C₂²	1	1	yes	characteristic, complemented
72	C₃×#938	C₂²	1	2	yes	complemented
73	C₃×#938	C₂²	1	2	yes	complemented
74	C₃×#938	C₂²	1	1	yes	characteristic, complemented
75	C₃×#937	C₂²	1	1	yes	characteristic, complemented
76	C₃×#937	C₂²	1	2	yes	complemented
77	C₃×#937	C₂²	1	2	yes	complemented
78	C₃×#937	C₂²	1	2	yes	complemented
79	C₃×#937	C₂²	1	2	yes	complemented
80	C₃×#937	C₂²	1	2	yes	complemented
81	C₃×#937	C₂²	1	2	yes	complemented
82	C₃×#937	C₂²	1	2	yes	complemented
83	C₃×#937	C₂²	1	2	yes	complemented
84	C₃×#937	C₂²	1	2	yes	complemented
85	C₃×#937	C₂²	1	2	yes	complemented
86	C₃×#936	C₂²	1	1	yes	characteristic, complemented
87	C₃×#935	C₂²	1	2	yes	complemented
88	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
89	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
90	C₃×#930	C₂²	1	1	yes	characteristic, complemented
91	C₃×#930	C₂²	1	2	yes	complemented
92	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
93	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
94	C₃×C₄×#67	C₂²	1	2	yes	complemented
95	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
96	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
97	C₃×#924	C₂²	1	1	yes	characteristic, complemented
98	C₃×#897	C₂²	1	1	yes	characteristic, complemented
99	C₃×#896	C₂²	1	1	yes	characteristic, complemented
100	C₃×#895	C₂²	1	1	yes	characteristic, complemented
101	C₃×#894	C₂²	1	1	yes	characteristic, complemented
102	C₃×#894	C₂²	1	2	yes	complemented
103	C₃×#893	C₂²	1	1	yes	characteristic, complemented
104	C₃×#892	C₂²	1	1	yes	characteristic, complemented
105	C₃×#886	C₂²	1	2	yes	complemented
106	C₃×#885	C₂²	1	2	yes	complemented
107	C₃×#884	C₂²	1	1	yes	characteristic, complemented
108	C₃×#884	C₂²	1	2	yes	complemented
109	C₃×#884	C₂²	1	2	yes	complemented
110	C₃×#883	C₂²	1	1	yes	characteristic, complemented
111	C₃×#883	C₂²	1	2	yes	complemented
112	C₃×#883	C₂²	1	2	yes	complemented
113	C₃×#882	C₂²	1	1	yes	characteristic, complemented
114	C₃×#882	C₂²	1	2	yes	complemented
115	C₃×#882	C₂²	1	2	yes	complemented
116	C₃×#882	C₂²	1	2	yes	complemented
117	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
118	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
119	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₃×#878	C₂²	1	1	yes	characteristic, complemented
123	C₃×#875	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
125	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
126	C₃×#872	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₃×H(5,𝔽₂)	—	3	1	no	—
128	C₂³×C₃×D₄	—	3	1	no	—
129	C₂×#1004	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂²×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
131	C₃×#546	—	3	1	no	—
132	C₃×#546	—	3	2	no	—
133	C₃×#546	—	3	1	no	—
134	C₃×#546	—	3	2	no	—
135	C₃×#546	—	3	1	no	—
136	C₃×#546	—	3	1	no	—
137	C₃×D₄²	—	2	1	no	—
138	C₃×D₄²	—	3	1	no	—
139	C₃×D₄²	—	3	2	no	—
140	C₃×D₄²	—	3	1	no	—
141	C₃×D₄²	—	3	1	no	—
142	C₃×D₄²	—	3	2	no	—
143	C₃×D₄²	D₃	1	1	yes	characteristic, complemented
144	C₃×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
145	C₃×#535	—	3	1	no	—
146	C₃×#535	—	3	1	no	—
147	C₃×#534	—	3	2	no	—
148	C₃×#534	—	3	2	no	—
149	C₃×#525	—	3	1	no	—
150	C₃×#525	—	3	1	no	—
151	C₂×C₃×#120	—	3	2	no	—
152	C₂×C₃×#120	—	3	2	no	—
153	C₃×#518	—	3	1	no	—
154	#5806	C₂×C₃	1	1	yes	characteristic, complemented
155	D₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
156	D₄×#67	C₂×C₃	1	2	yes	complemented
157	C₂×#937	C₂×C₃	1	2	yes	complemented
158	#5717	C₂×C₃	1	1	yes	characteristic, complemented
159	#5715	C₂×C₃	1	1	yes	characteristic, complemented
160	#5612	C₂×C₃	1	1	yes	characteristic, complemented
161	#5610	C₂×C₃	1	2	yes	complemented
162	#5609	C₂×C₃	1	1	yes	characteristic, complemented
163	#5607	C₂×C₃	1	1	yes	characteristic, complemented
164	#5606	C₂×C₃	1	1	yes	characteristic, complemented
165	#5605	C₂×C₃	1	2	yes	complemented
166	#5591	C₂×C₃	1	2	yes	complemented
167	#5590	C₂×C₃	1	2	yes	complemented
168	#5589	C₂×C₃	1	2	yes	complemented
169	D₃×#120	C₂×C₃	1	2	yes	complemented
170	#5554	C₂×C₃	1	1	yes	characteristic, complemented
171	#5550	C₂×C₃	1	1	yes	characteristic, complemented
172	#5547	C₂×C₃	1	1	yes	characteristic, complemented
173	#5545	C₂×C₃	1	1	yes	characteristic, complemented
174	C₂⁴×C₃²	C₂³	1	2	yes	—
175	C₂⁴×C₃²	C₂³	1	2	yes	complemented
176	C₂³×C₃×D₃	—	2	8	no	—
177	C₂³×C₃×D₃	—	4	4	no	—
178	C₂³×C₃×D₃	—	4	4	no	—
179	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
180	C₂³×C₃×D₃	C₂³	1	2	yes	—
181	C₂³×C₃×D₃	C₂³	1	2	yes	—
182	C₂³×C₃×D₃	C₂³	1	2	yes	—
183	C₂³×C₃×D₃	C₂³	1	2	yes	—
184	C₂³×C₃×D₃	C₂³	1	2	yes	—
185	C₂³×C₃×D₃	C₂³	1	2	yes	complemented
186	C₂×C₃²×D₄	—	2	4	no	—
187	C₂×C₃²×D₄	—	2	4	no	—
188	C₂×C₃²×D₄	—	4	4	no	—
189	C₂×C₃²×D₄	C₂³	1	2	yes	—
190	C₂×C₃²×D₄	C₂³	1	2	yes	—
191	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
192	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
193	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
194	C₂×C₃²×D₄	C₂³	1	2	yes	complemented
195	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
196	C₂×C₃²×D₄	C₂³	1	2	yes	complemented
197	C₂×C₃²×D₄	C₂³	1	2	yes	complemented
198	C₂×C₃²×D₄	C₂³	1	2	yes	complemented
199	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
200	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
201	C₂²×C₃²×C₄	C₂³	1	2	yes	complemented
202	C₂×C₃×#67	—	2	8	no	—
203	C₂×C₃×#67	—	2	8	no	—
204	C₂×C₃×#67	—	2	8	no	—
205	C₂×C₃×#67	—	4	4	no	—
206	C₂×C₃×#67	C₂³	1	2	yes	—
207	C₂×C₃×#67	C₂³	1	1	yes	characteristic
208	C₂×C₃×#67	C₂³	1	1	yes	characteristic
209	C₂×C₃×#67	C₂³	1	2	yes	—
210	C₂×C₃×#67	C₂³	1	2	yes	—
211	C₂×C₃×#67	C₂³	1	1	yes	characteristic
212	C₂×C₃×#67	C₂³	1	2	yes	—
213	C₂×C₃×#67	C₂³	1	2	yes	—
214	C₂×C₃×#67	C₂³	1	2	yes	—
215	C₂×C₃×#67	C₂³	1	2	yes	complemented
216	C₂×C₃×#67	C₂³	1	2	yes	complemented
217	C₂×C₃×#67	C₂³	1	2	yes	complemented
218	C₂×C₃×#67	C₂³	1	1	yes	characteristic, complemented
219	C₂×C₃×#67	C₂³	1	2	yes	complemented
220	C₂×C₃×#67	C₂³	1	2	yes	complemented
221	C₂×C₃×#67	C₂³	1	2	yes	complemented
222	C₂×C₃×#67	C₂³	1	2	yes	complemented
223	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
224	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
225	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
226	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
227	C₃×#237	—	2	4	no	—
228	C₃×#237	—	2	8	no	—
229	C₃×#237	—	2	4	no	—
230	C₃×D₃×D₄	—	2	8	no	—
231	C₃×D₃×D₄	—	2	8	no	—
232	C₃×D₃×D₄	—	2	4	no	—
233	C₃×D₃×D₄	—	2	8	no	—
234	C₃×D₃×D₄	—	2	4	no	—
235	C₃×D₃×D₄	—	2	4	no	—
236	C₃×D₃×D₄	—	2	4	no	—
237	C₃×D₃×D₄	—	4	4	no	—
238	C₃×D₃×D₄	—	4	4	no	—
239	C₃×D₃×D₄	D₄	1	8	yes	complemented
240	C₃×#235	—	2	4	no	—
241	C₃×#235	—	2	4	no	—
242	C₂×C₃×D₁₂	—	2	4	no	—
243	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
244	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
245	C₂×C₃×D₁₂	C₂³	1	2	yes	—
246	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
247	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
248	C₂×C₃×D₁₂	C₂³	1	2	yes	complemented
249	C₂×C₃×C₄×D₃	—	2	4	no	—
250	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
255	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
256	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
257	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
258	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
259	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
260	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
261	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
262	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
264	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
265	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
266	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
267	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
268	C₃×#217	C₂³	1	1	yes	characteristic
269	C₃×#217	C₂³	1	2	yes	—
270	C₃×#217	C₂³	1	2	yes	complemented
271	C₃×#217	C₂³	1	2	yes	complemented
272	C₃×#217	C₂³	1	1	yes	characteristic, complemented
273	C₃×#217	C₂³	1	2	yes	complemented
274	C₃×#217	C₂³	1	2	yes	complemented
275	C₃×#217	C₂³	1	2	yes	complemented
276	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
279	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
280	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
281	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
283	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
284	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
285	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
286	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
287	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
288	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
289	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
290	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
291	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
292	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
293	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
294	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
295	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
296	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
297	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
298	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
299	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
300	#3484	—	3	1	no	Sylow
301	C₂⁵×C₃	—	3	2	no	—
302	C₂⁴×D₃	C₂²×C₃	1	2	yes	complemented
303	C₃×H(5,𝔽₂)	—	6	8	no	—
304	C₂×C₃×#41	—	3	1	no	—
305	C₂×C₃×#41	—	3	1	no	—
306	C₂×C₃×#41	—	3	2	no	—
307	C₂×C₃×#41	—	3	1	no	—
308	C₂×C₃×#41	—	3	1	no	—
309	C₂²×C₃×D₄	—	2	1	no	—
310	C₂²×C₃×D₄	—	2	1	no	—
311	C₂²×C₃×D₄	—	2	2	no	—
312	C₂²×C₃×D₄	—	3	1	no	—
313	C₂²×C₃×D₄	—	3	2	no	—
314	C₂²×C₃×D₄	—	3	2	no	—
315	C₂²×C₃×D₄	—	3	2	no	—
316	C₂²×C₃×D₄	—	3	2	no	—
317	C₂²×C₃×D₄	—	3	2	no	—
318	C₂²×C₃×D₄	—	3	1	no	—
319	C₂²×C₃×D₄	—	3	2	no	—
320	C₂²×C₃×D₄	—	3	1	no	—
321	C₂²×C₃×D₄	—	3	1	no	—
322	C₂²×C₃×D₄	—	3	2	no	—
323	C₂²×C₃×D₄	—	3	1	no	—
324	C₂²×C₃×D₄	—	3	2	no	—
325	C₂²×C₃×D₄	—	3	2	no	—
326	C₂²×C₃×D₄	—	3	1	no	—
327	C₂²×C₃×D₄	—	6	8	no	—
328	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
329	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
330	C₂²×C₃×D₄	C₂×D₃	1	2	yes	complemented
331	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
332	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
333	C₂²×C₃×D₄	C₂²×C₃	1	2	yes	complemented
334	C₂³×C₃×C₄	—	3	1	no	—
335	C₂²×#67	C₂²×C₃	1	2	yes	complemented
336	C₂²×#67	C₂²×C₃	1	2	yes	complemented
337	C₂²×#67	C₂²×C₃	1	2	yes	complemented
338	C₂²×#67	C₂²×C₃	1	2	yes	complemented
339	#1004	—	2	8	no	—
340	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₂×#237	C₂²×C₃	1	2	yes	complemented
342	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
343	C₂×D₃×D₄	—	2	8	no	—
344	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
345	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
346	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
348	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
349	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
350	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
351	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
352	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
353	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
354	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
355	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
356	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
357	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
358	C₃×#127	—	2	1	no	—
359	C₃×#127	—	3	2	no	—
360	C₃×#127	—	3	1	no	—
361	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
362	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
363	C₃×#124	—	3	1	no	—
364	C₃×#124	—	3	2	no	—
365	C₃×#124	—	3	1	no	—
366	C₃×#123	—	3	2	no	—
367	C₃×#123	—	3	1	no	—
368	C₃×#123	—	3	2	no	—
369	C₃×#123	—	3	2	no	—
370	C₃×#123	—	3	1	no	—
371	C₃×#123	—	3	2	no	—
372	C₃×#123	—	3	2	no	—
373	C₃×C₂²⋊Q₈	—	3	1	no	—
374	C₃×C₂²⋊Q₈	—	3	1	no	—
375	C₃×C₂²⋊Q₈	—	3	1	no	—
376	C₃×C₂²⋊Q₈	—	3	1	no	—
377	C₃×#121	—	2	1	no	—
378	C₃×#121	—	2	2	no	—
379	C₃×#121	—	2	1	no	—
380	C₃×#121	—	3	1	no	—
381	C₃×#121	—	3	1	no	—
382	C₃×#121	—	3	2	no	—
383	C₃×#121	—	3	1	no	—
384	C₃×#121	—	3	2	no	—
385	C₃×#121	—	3	2	no	—
386	C₃×#121	—	3	2	no	—
387	C₃×#121	—	3	2	no	—
388	C₃×#121	—	3	2	no	—
389	C₃×#121	—	3	2	no	—
390	C₃×#121	—	3	1	no	—
391	C₃×#121	—	3	1	no	—
392	C₃×#121	—	3	1	no	—
393	C₃×#121	—	3	2	no	—
394	C₃×#121	—	3	2	no	—
395	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
396	C₃×#121	C₂×D₃	1	2	yes	complemented
397	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
398	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
399	C₃×#121	C₂²×C₃	1	2	yes	complemented
400	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
401	C₃×#120	—	2	2	no	—
402	C₃×#120	—	2	2	no	—
403	C₃×#120	—	3	2	no	—
404	C₃×#120	—	3	2	no	—
405	C₃×#120	—	3	2	no	—
406	C₃×#120	—	3	1	no	—
407	C₃×#120	—	3	2	no	—
408	C₃×#120	—	3	2	no	—
409	C₃×#120	—	3	2	no	—
410	C₃×#120	—	3	2	no	—
411	C₃×#120	—	3	2	no	—
412	C₃×#120	—	3	2	no	—
413	C₃×#120	—	3	2	no	—
414	C₃×#120	—	3	2	no	—
415	C₃×#120	—	3	2	no	—
416	C₃×#120	—	3	1	no	—
417	C₃×#120	—	3	2	no	—
418	C₃×#120	—	3	2	no	—
419	C₃×#120	—	3	2	no	—
420	C₃×#120	C₂×D₃	1	2	yes	complemented
421	C₃×#120	C₂×D₃	1	2	yes	complemented
422	C₃×#120	C₂²×C₃	1	2	yes	complemented
423	C₃×#120	C₂²×C₃	1	2	yes	complemented
424	C₃×C₄×D₄	—	2	1	no	—
425	C₃×C₄×D₄	—	2	1	no	—
426	C₃×C₄×D₄	—	3	1	no	—
427	C₃×C₄×D₄	—	3	2	no	—
428	C₃×C₄×D₄	—	3	1	no	—
429	C₃×C₄×D₄	—	3	2	no	—
430	C₃×C₄×D₄	—	3	1	no	—
431	C₃×C₄×D₄	—	3	1	no	—
432	C₃×C₄×D₄	—	3	2	no	—
433	C₃×C₄×D₄	—	3	2	no	—
434	C₃×C₄×D₄	—	3	1	no	—
435	C₃×C₄×D₄	—	3	1	no	—
436	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
437	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
438	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
439	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
440	C₃×#117	—	3	1	no	—
441	C₃×#117	—	3	1	no	—
442	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
443	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
444	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
445	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
446	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
447	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
448	#953	C₂²×C₃	1	2	yes	complemented
449	#953	C₂²×C₃	1	2	yes	complemented
450	C₂×#217	C₂²×C₃	1	2	yes	complemented
451	#940	C₂²×C₃	1	1	yes	characteristic, complemented
452	#940	C₂²×C₃	1	2	yes	complemented
453	#939	C₂²×C₃	1	1	yes	characteristic, complemented
454	#939	C₂²×C₃	1	2	yes	complemented
455	#939	C₂²×C₃	1	2	yes	complemented
456	#939	C₂²×C₃	1	2	yes	complemented
457	#939	C₂²×C₃	1	2	yes	complemented
458	#938	C₂²×C₃	1	1	yes	characteristic, complemented
459	#938	C₂²×C₃	1	2	yes	complemented
460	#938	C₂²×C₃	1	2	yes	complemented
461	#938	C₂²×C₃	1	1	yes	characteristic, complemented
462	#937	C₂²×C₃	1	1	yes	characteristic, complemented
463	#937	C₂²×C₃	1	2	yes	complemented
464	#937	C₂²×C₃	1	2	yes	complemented
465	#937	C₂²×C₃	1	2	yes	complemented
466	#937	C₂²×C₃	1	2	yes	complemented
467	#937	C₂²×C₃	1	2	yes	complemented
468	#937	C₂²×C₃	1	2	yes	complemented
469	#937	C₂²×C₃	1	2	yes	complemented
470	#937	C₂²×C₃	1	2	yes	complemented
471	#937	C₂²×C₃	1	2	yes	complemented
472	#937	C₂²×C₃	1	2	yes	complemented
473	#936	C₂²×C₃	1	1	yes	characteristic, complemented
474	#935	C₂²×C₃	1	2	yes	complemented
475	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
476	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
477	#930	C₂²×C₃	1	1	yes	characteristic, complemented
478	#930	C₂²×C₃	1	2	yes	complemented
479	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
480	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
481	C₄×#67	C₂²×C₃	1	2	yes	complemented
482	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
483	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
484	#924	C₂²×C₃	1	1	yes	characteristic, complemented
485	#897	C₂²×C₃	1	1	yes	characteristic, complemented
486	#896	C₂²×C₃	1	1	yes	characteristic, complemented
487	#895	C₂²×C₃	1	1	yes	characteristic, complemented
488	#894	C₂²×C₃	1	1	yes	characteristic, complemented
489	#894	C₂²×C₃	1	2	yes	complemented
490	#893	C₂²×C₃	1	1	yes	characteristic, complemented
491	#892	C₂²×C₃	1	1	yes	characteristic, complemented
492	#886	C₂²×C₃	1	2	yes	complemented
493	#885	C₂²×C₃	1	2	yes	complemented
494	#884	C₂²×C₃	1	1	yes	characteristic, complemented
495	#884	C₂²×C₃	1	2	yes	complemented
496	#884	C₂²×C₃	1	2	yes	complemented
497	#883	C₂²×C₃	1	1	yes	characteristic, complemented
498	#883	C₂²×C₃	1	2	yes	complemented
499	#883	C₂²×C₃	1	2	yes	complemented
500	#882	C₂²×C₃	1	1	yes	characteristic, complemented
501	#882	C₂²×C₃	1	2	yes	complemented
502	#882	C₂²×C₃	1	2	yes	complemented
503	#882	C₂²×C₃	1	2	yes	complemented
504	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
505	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
506	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
507	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
508	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
509	#878	C₂²×C₃	1	1	yes	characteristic, complemented
510	#875	C₂²×C₃	1	1	yes	characteristic, complemented
511	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
512	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
513	#872	C₂²×C₃	1	1	yes	characteristic, complemented
514	C₂³×C₃²	—	2	4	no	—
515	C₂³×C₃²	—	2	4	no	—
516	C₂³×C₃²	—	2	4	no	—
517	C₂³×C₃²	—	4	2	no	—
518	C₂³×C₃²	—	4	2	no	—
519	C₂³×C₃²	—	4	2	no	—
520	C₂³×C₃²	C₂⁴	1	2	yes	—
521	C₂³×C₃²	C₂⁴	1	2	yes	—
522	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
523	C₂³×C₃²	C₂⁴	1	2	yes	—
524	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
525	C₂²×C₃×D₃	—	2	2	no	—
526	C₂²×C₃×D₃	—	2	2	no	—
527	C₂²×C₃×D₃	—	2	2	no	—
528	C₂²×C₃×D₃	—	2	4	no	—
529	C₂²×C₃×D₃	—	2	4	no	—
530	C₂²×C₃×D₃	—	2	4	no	—
531	C₂²×C₃×D₃	—	2	4	no	—
532	C₂²×C₃×D₃	—	2	4	no	—
533	C₂²×C₃×D₃	—	2	4	no	—
534	C₂²×C₃×D₃	—	2	4	no	—
535	C₂²×C₃×D₃	—	2	4	no	—
536	C₂²×C₃×D₃	—	4	2	no	—
537	C₂²×C₃×D₃	—	4	2	no	—
538	C₂²×C₃×D₃	—	4	2	no	—
539	C₂²×C₃×D₃	—	4	2	no	—
540	C₂²×C₃×D₃	—	4	2	no	—
541	C₂²×C₃×D₃	—	4	2	no	—
542	C₂²×C₃×D₃	—	4	2	no	—
543	C₂²×C₃×D₃	—	4	2	no	—
544	C₂²×C₃×D₃	—	4	2	no	—
545	C₂²×C₃×D₃	—	4	32	no	—
546	C₂²×C₃×D₃	C₂×D₄	1	8	yes	complemented
547	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
548	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
551	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
552	C₃²×D₄	—	2	2	no	—
553	C₃²×D₄	—	2	4	no	—
554	C₃²×D₄	—	2	4	no	—
555	C₃²×D₄	—	2	4	no	—
556	C₃²×D₄	—	2	2	no	—
557	C₃²×D₄	—	2	2	no	—
558	C₃²×D₄	—	4	2	no	—
559	C₃²×D₄	—	4	2	no	—
560	C₃²×D₄	—	4	2	no	—
561	C₃²×D₄	C₂×D₄	1	4	yes	complemented
562	C₂×C₃²×C₄	—	2	2	no	—
563	C₂×C₃²×C₄	—	2	2	no	—
564	C₂×C₃²×C₄	—	4	2	no	—
565	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
566	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
567	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
568	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
569	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
570	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
571	C₃×#67	—	2	4	no	—
572	C₃×#67	—	2	4	no	—
573	C₃×#67	—	2	2	no	—
574	C₃×#67	—	2	2	no	—
575	C₃×#67	—	2	4	no	—
576	C₃×#67	—	2	4	no	—
577	C₃×#67	—	2	4	no	—
578	C₃×#67	—	2	4	no	—
579	C₃×#67	—	2	4	no	—
580	C₃×#67	—	2	2	no	—
581	C₃×#67	—	2	2	no	—
582	C₃×#67	—	2	4	no	—
583	C₃×#67	—	4	2	no	—
584	C₃×#67	—	4	2	no	—
585	C₃×#67	—	4	2	no	—
586	C₃×#67	—	4	2	no	—
587	C₃×#67	C₂×D₄	1	8	yes	complemented
588	C₂×C₃×Dic₃	—	2	4	no	—
589	C₂×C₃×Dic₃	—	2	2	no	—
590	C₂×C₃×Dic₃	—	2	4	no	—
591	C₂×C₃×Dic₃	—	4	2	no	—
592	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
595	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
597	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
599	C₃×D₁₂	—	2	4	no	—
600	C₃×D₁₂	—	2	2	no	—
601	C₃×D₁₂	—	2	2	no	—
602	C₃×D₁₂	—	2	2	no	—
603	C₃×D₁₂	—	4	2	no	—
604	C₃×D₁₂	C₂×D₄	1	4	yes	complemented
605	C₃×C₄×D₃	—	2	2	no	—
606	C₃×C₄×D₃	—	2	4	no	—
607	C₃×C₄×D₃	—	2	2	no	—
608	C₃×C₄×D₃	—	2	2	no	—
609	C₃×C₄×D₃	—	2	2	no	—
610	C₃×C₄×D₃	—	4	2	no	—
611	C₃×C₄×D₃	—	4	2	no	—
612	C₃×C₄×D₃	C₂×D₄	1	4	yes	complemented
613	C₃×Dic₆	—	2	2	no	—
614	C₃×Dic₆	—	2	2	no	—
615	C₂×H(5,𝔽₂)	—	3	1	no	—
616	C₂³×D₄	—	3	1	no	—
617	#546	—	3	1	no	—
618	#546	—	3	2	no	—
619	#546	—	3	1	no	—
620	#546	—	3	2	no	—
621	#546	—	3	1	no	—
622	#546	—	3	1	no	—
623	D₄²	—	3	1	no	—
624	D₄²	—	3	2	no	—
625	D₄²	—	3	1	no	—
626	D₄²	—	3	1	no	—
627	D₄²	—	3	2	no	—
628	D₄²	C₃×D₃	1	1	yes	characteristic, complemented
629	#535	—	3	1	no	—
630	#535	—	3	1	no	—
631	#534	—	3	2	no	—
632	#534	—	3	2	no	—
633	#525	—	3	1	no	—
634	#525	—	3	1	no	—
635	C₂×#120	—	3	2	no	—
636	C₂×#120	—	3	2	no	—
637	#518	—	3	1	no	—
638	C₂⁴×C₃	—	2	2	no	—
639	C₂⁴×C₃	—	2	2	no	—
640	C₂⁴×C₃	—	3	2	no	—
641	C₂⁴×C₃	—	3	1	no	—
642	C₂⁴×C₃	—	3	2	no	—
643	C₂⁴×C₃	—	3	2	no	—
644	C₂⁴×C₃	—	3	2	no	—
645	C₂⁴×C₃	—	3	2	no	—
646	C₂⁴×C₃	—	3	2	no	—
647	C₂⁴×C₃	—	6	8	no	—
648	C₂⁴×C₃	—	12	4	no	—
649	C₂⁴×C₃	—	12	4	no	—
650	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
651	C₂⁴×C₃	C₂²×D₃	1	2	yes	complemented
652	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
653	C₂⁴×C₃	C₂³×C₃	1	2	yes	complemented
654	C₂³×D₃	—	2	8	no	—
655	C₂³×D₃	—	4	4	no	—
656	C₂³×D₃	—	4	4	no	—
657	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
658	C₂³×D₃	C₂³×C₃	1	2	yes	—
659	C₂³×D₃	C₂³×C₃	1	2	yes	—
660	C₂³×D₃	C₂³×C₃	1	2	yes	—
661	C₂³×D₃	C₂³×C₃	1	2	yes	—
662	C₂³×D₃	C₂³×C₃	1	2	yes	—
663	C₂³×D₃	C₂³×C₃	1	2	yes	complemented
664	C₃×#41	—	6	4	no	—
665	C₃×#41	—	6	4	no	—
666	C₃×#41	—	6	4	no	—
667	C₃×#41	—	6	8	no	—
668	C₃×#41	—	6	4	no	—
669	C₂×C₃×Q₈	—	3	1	no	—
670	C₂×C₃×Q₈	—	3	1	no	—
671	C₂×C₃×D₄	—	2	4	no	—
672	C₂×C₃×D₄	—	2	4	no	—
673	C₂×C₃×D₄	—	2	4	no	—
674	C₂×C₃×D₄	—	2	4	no	—
675	C₂×C₃×D₄	—	2	1	no	—
676	C₂×C₃×D₄	—	2	1	no	—
677	C₂×C₃×D₄	—	2	2	no	—
678	C₂×C₃×D₄	—	2	2	no	—
679	C₂×C₃×D₄	—	2	1	no	—
680	C₂×C₃×D₄	—	2	2	no	—
681	C₂×C₃×D₄	—	2	2	no	—
682	C₂×C₃×D₄	—	2	1	no	—
683	C₂×C₃×D₄	—	2	2	no	—
684	C₂×C₃×D₄	—	2	2	no	—
685	C₂×C₃×D₄	—	3	2	no	—
686	C₂×C₃×D₄	—	3	8	no	—
687	C₂×C₃×D₄	—	3	2	no	—
688	C₂×C₃×D₄	—	3	1	no	—
689	C₂×C₃×D₄	—	3	1	no	—
690	C₂×C₃×D₄	—	3	2	no	—
691	C₂×C₃×D₄	—	3	1	no	—
692	C₂×C₃×D₄	—	3	2	no	—
693	C₂×C₃×D₄	—	3	2	no	—
694	C₂×C₃×D₄	—	3	2	no	—
695	C₂×C₃×D₄	—	3	2	no	—
696	C₂×C₃×D₄	—	3	2	no	—
697	C₂×C₃×D₄	—	3	2	no	—
698	C₂×C₃×D₄	—	3	1	no	—
699	C₂×C₃×D₄	—	3	2	no	—
700	C₂×C₃×D₄	—	3	2	no	—
701	C₂×C₃×D₄	—	3	2	no	—
702	C₂×C₃×D₄	—	3	2	no	—
703	C₂×C₃×D₄	—	3	1	no	—
704	C₂×C₃×D₄	—	3	1	no	—
705	C₂×C₃×D₄	—	3	1	no	—
706	C₂×C₃×D₄	—	3	2	no	—
707	C₂×C₃×D₄	—	3	1	no	—
708	C₂×C₃×D₄	—	3	2	no	—
709	C₂×C₃×D₄	—	4	4	no	—
710	C₂×C₃×D₄	—	4	4	no	—
711	C₂×C₃×D₄	—	4	4	no	—
712	C₂×C₃×D₄	—	4	4	no	—
713	C₂×C₃×D₄	—	4	8	no	—
714	C₂×C₃×D₄	—	6	4	no	—
715	C₂×C₃×D₄	—	6	4	no	—
716	C₂×C₃×D₄	—	6	8	no	—
717	C₂×C₃×D₄	—	6	4	no	—
718	C₂×C₃×D₄	—	6	4	no	—
719	C₂×C₃×D₄	—	6	8	no	—
720	C₂×C₃×D₄	—	6	8	no	—
721	C₂×C₃×D₄	—	6	8	no	—
722	C₂×C₃×D₄	—	6	8	no	—
723	C₂×C₃×D₄	—	6	8	no	—
724	C₂×C₃×D₄	—	6	4	no	—
725	C₂×C₃×D₄	—	12	4	no	—
726	C₂×C₃×D₄	—	12	4	no	—
727	C₂×C₃×D₄	—	12	4	no	—
728	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
729	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
730	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
731	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
732	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
733	C₂×C₃×D₄	C₂²×D₃	1	2	yes	complemented
734	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
735	C₂×C₃×D₄	C₂²×D₃	1	2	yes	complemented
736	C₂×C₃×D₄	C₂²×D₃	1	2	yes	complemented
737	C₂×C₃×D₄	C₂²×D₃	1	2	yes	complemented
738	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
739	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
740	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
741	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
742	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
743	C₂×C₃×D₄	C₂³×C₃	1	2	yes	complemented
744	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
745	C₂×C₃×D₄	C₂³×C₃	1	2	yes	complemented
746	C₂×C₃×D₄	C₂³×C₃	1	2	yes	complemented
747	C₂×C₃×D₄	C₂³×C₃	1	2	yes	complemented
748	C₂²×C₃×C₄	—	2	1	no	—
749	C₂²×C₃×C₄	—	2	1	no	—
750	C₂²×C₃×C₄	—	2	2	no	—
751	C₂²×C₃×C₄	—	3	1	no	—
752	C₂²×C₃×C₄	—	3	2	no	—
753	C₂²×C₃×C₄	—	3	2	no	—
754	C₂²×C₃×C₄	—	3	1	no	—
755	C₂²×C₃×C₄	—	3	2	no	—
756	C₂²×C₃×C₄	—	3	2	no	—
757	C₂²×C₃×C₄	—	3	1	no	—
758	C₂²×C₃×C₄	—	3	1	no	—
759	C₂²×C₃×C₄	—	3	1	no	—
760	C₂²×C₃×C₄	—	3	1	no	—
761	C₂²×C₃×C₄	—	3	2	no	—
762	C₂²×C₃×C₄	—	3	2	no	—
763	C₂²×C₃×C₄	—	6	4	no	—
764	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
765	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
766	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	complemented
767	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
769	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	complemented
770	C₂×#67	—	2	8	no	—
771	C₂×#67	—	2	8	no	—
772	C₂×#67	—	2	8	no	—
773	C₂×#67	—	4	4	no	—
774	C₂×#67	C₂³×C₃	1	2	yes	—
775	C₂×#67	C₂³×C₃	1	1	yes	characteristic
776	C₂×#67	C₂³×C₃	1	1	yes	characteristic
777	C₂×#67	C₂³×C₃	1	2	yes	—
778	C₂×#67	C₂³×C₃	1	2	yes	—
779	C₂×#67	C₂³×C₃	1	1	yes	characteristic
780	C₂×#67	C₂³×C₃	1	2	yes	—
781	C₂×#67	C₂³×C₃	1	2	yes	—
782	C₂×#67	C₂³×C₃	1	2	yes	—
783	C₂×#67	C₂³×C₃	1	2	yes	complemented
784	C₂×#67	C₂³×C₃	1	2	yes	complemented
785	C₂×#67	C₂³×C₃	1	2	yes	complemented
786	C₂×#67	C₂³×C₃	1	1	yes	characteristic, complemented
787	C₂×#67	C₂³×C₃	1	2	yes	complemented
788	C₂×#67	C₂³×C₃	1	2	yes	complemented
789	C₂×#67	C₂³×C₃	1	2	yes	complemented
790	C₂×#67	C₂³×C₃	1	2	yes	complemented
791	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
792	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
793	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
794	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
795	#237	—	2	4	no	—
796	#237	—	2	8	no	—
797	#237	—	2	4	no	—
798	D₃×D₄	—	2	8	no	—
799	D₃×D₄	—	2	8	no	—
800	D₃×D₄	—	2	4	no	—
801	D₃×D₄	—	2	8	no	—
802	D₃×D₄	—	2	4	no	—
803	D₃×D₄	—	2	4	no	—
804	D₃×D₄	—	2	4	no	—
805	D₃×D₄	—	4	4	no	—
806	D₃×D₄	—	4	4	no	—
807	D₃×D₄	C₃×D₄	1	8	yes	complemented
808	#235	—	2	4	no	—
809	#235	—	2	4	no	—
810	C₂×D₁₂	—	2	4	no	—
811	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
812	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
813	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
814	C₂×D₁₂	C₂³×C₃	1	2	yes	—
815	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
816	C₂×D₁₂	C₂³×C₃	1	2	yes	complemented
817	C₂×C₄×D₃	—	2	4	no	—
818	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
823	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
824	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
825	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
826	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
827	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
828	C₃×C₄⋊C₄	—	2	1	no	—
829	C₃×C₄⋊C₄	—	2	1	no	—
830	C₃×C₄⋊C₄	—	3	1	no	—
831	C₃×C₄⋊C₄	—	3	1	no	—
832	C₃×C₄⋊C₄	—	3	2	no	—
833	C₃×C₄⋊C₄	—	3	1	no	—
834	C₃×C₄⋊C₄	—	3	1	no	—
835	C₃×C₄⋊C₄	—	3	1	no	—
836	C₃×C₄⋊C₄	—	3	2	no	—
837	C₃×C₄⋊C₄	—	3	1	no	—
838	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
839	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
840	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
841	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
842	C₃×C₂²⋊C₄	—	2	1	no	—
843	C₃×C₂²⋊C₄	—	2	2	no	—
844	C₃×C₂²⋊C₄	—	2	1	no	—
845	C₃×C₂²⋊C₄	—	2	2	no	—
846	C₃×C₂²⋊C₄	—	2	2	no	—
847	C₃×C₂²⋊C₄	—	3	1	no	—
848	C₃×C₂²⋊C₄	—	3	2	no	—
849	C₃×C₂²⋊C₄	—	3	2	no	—
850	C₃×C₂²⋊C₄	—	3	2	no	—
851	C₃×C₂²⋊C₄	—	3	2	no	—
852	C₃×C₂²⋊C₄	—	3	2	no	—
853	C₃×C₂²⋊C₄	—	3	2	no	—
854	C₃×C₂²⋊C₄	—	3	1	no	—
855	C₃×C₂²⋊C₄	—	3	2	no	—
856	C₃×C₂²⋊C₄	—	3	1	no	—
857	C₃×C₂²⋊C₄	—	3	1	no	—
858	C₃×C₂²⋊C₄	—	3	1	no	—
859	C₃×C₂²⋊C₄	—	3	2	no	—
860	C₃×C₂²⋊C₄	—	3	1	no	—
861	C₃×C₂²⋊C₄	—	3	2	no	—
862	C₃×C₂²⋊C₄	—	3	2	no	—
863	C₃×C₂²⋊C₄	—	3	2	no	—
864	C₃×C₂²⋊C₄	—	3	2	no	—
865	C₃×C₂²⋊C₄	—	3	2	no	—
866	C₃×C₂²⋊C₄	—	3	2	no	—
867	C₃×C₂²⋊C₄	—	3	1	no	—
868	C₃×C₂²⋊C₄	—	3	1	no	—
869	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
870	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
871	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
872	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
873	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
874	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
875	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
876	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
877	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
878	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
879	C₃×C₄²	—	2	1	no	—
880	C₃×C₄²	—	3	2	no	—
881	C₃×C₄²	—	3	1	no	—
882	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
883	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
884	#217	C₂³×C₃	1	1	yes	characteristic
885	#217	C₂³×C₃	1	2	yes	—
886	#217	C₂³×C₃	1	2	yes	complemented
887	#217	C₂³×C₃	1	2	yes	complemented
888	#217	C₂³×C₃	1	1	yes	characteristic, complemented
889	#217	C₂³×C₃	1	2	yes	complemented
890	#217	C₂³×C₃	1	2	yes	complemented
891	#217	C₂³×C₃	1	2	yes	complemented
892	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
893	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
894	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
895	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
896	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
897	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
898	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
899	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
900	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
901	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
902	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
903	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
904	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
905	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
906	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
907	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
908	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
909	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
910	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
911	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
912	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
913	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
914	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
915	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
916	C₂²×C₃²	—	2	1	no	—
917	C₂²×C₃²	—	2	1	no	—
918	C₂²×C₃²	—	2	2	no	—
919	C₂²×C₃²	—	2	2	no	—
920	C₂²×C₃²	—	2	1	no	—
921	C₂²×C₃²	—	2	2	no	—
922	C₂²×C₃²	—	2	1	no	—
923	C₂²×C₃²	—	2	2	no	—
924	C₂²×C₃²	—	2	1	no	—
925	C₂²×C₃²	—	2	2	no	—
926	C₂²×C₃²	—	2	2	no	—
927	C₂²×C₃²	—	2	2	no	—
928	C₂²×C₃²	—	2	2	no	—
929	C₂²×C₃²	—	4	8	no	—
930	C₂²×C₃²	—	8	4	no	—
931	C₂²×C₃²	C₂²×D₄	1	4	yes	—
932	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	complemented
933	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
934	C₂×C₃×D₃	—	2	8	no	—
935	C₂×C₃×D₃	—	2	1	no	—
936	C₂×C₃×D₃	—	2	2	no	—
937	C₂×C₃×D₃	—	2	2	no	—
938	C₂×C₃×D₃	—	2	1	no	—
939	C₂×C₃×D₃	—	2	1	no	—
940	C₂×C₃×D₃	—	2	1	no	—
941	C₂×C₃×D₃	—	2	1	no	—
942	C₂×C₃×D₃	—	2	2	no	—
943	C₂×C₃×D₃	—	2	1	no	—
944	C₂×C₃×D₃	—	2	1	no	—
945	C₂×C₃×D₃	—	2	2	no	—
946	C₂×C₃×D₃	—	2	2	no	—
947	C₂×C₃×D₃	—	4	8	no	—
948	C₂×C₃×D₃	—	4	8	no	—
949	C₂×C₃×D₃	—	4	8	no	—
950	C₂×C₃×D₃	—	4	8	no	—
951	C₂×C₃×D₃	—	4	8	no	—
952	C₂×C₃×D₃	—	8	4	no	—
953	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
954	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
955	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	complemented
956	C₃²×C₄	—	2	1	no	—
957	C₃²×C₄	—	2	1	no	—
958	C₃²×C₄	—	2	1	no	—
959	C₃²×C₄	—	2	1	no	—
960	C₃²×C₄	—	2	2	no	—
961	C₃²×C₄	C₂²×D₄	1	2	yes	—
962	C₃×Dic₃	—	2	2	no	—
963	C₃×Dic₃	—	2	1	no	—
964	C₃×Dic₃	—	2	1	no	—
965	C₃×Dic₃	—	2	1	no	—
966	C₃×Dic₃	—	2	2	no	—
967	C₃×Dic₃	—	2	1	no	—
968	C₃×Dic₃	C₂²×D₄	1	2	yes	—
969	C₂⁵	—	3	2	no	—
970	H(5,𝔽₂)	—	6	8	no	—
971	C₂×#41	—	3	1	no	—
972	C₂×#41	—	3	1	no	—
973	C₂×#41	—	3	2	no	—
974	C₂×#41	—	3	1	no	—
975	C₂×#41	—	3	1	no	—
976	C₂²×D₄	—	3	1	no	—
977	C₂²×D₄	—	3	2	no	—
978	C₂²×D₄	—	3	2	no	—
979	C₂²×D₄	—	3	2	no	—
980	C₂²×D₄	—	3	2	no	—
981	C₂²×D₄	—	3	2	no	—
982	C₂²×D₄	—	3	1	no	—
983	C₂²×D₄	—	3	2	no	—
984	C₂²×D₄	—	3	1	no	—
985	C₂²×D₄	—	3	1	no	—
986	C₂²×D₄	—	3	2	no	—
987	C₂²×D₄	—	3	1	no	—
988	C₂²×D₄	—	3	2	no	—
989	C₂²×D₄	—	3	2	no	—
990	C₂²×D₄	—	3	1	no	—
991	C₂²×D₄	—	6	8	no	—
992	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
993	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
994	C₂²×D₄	C₂×C₃×D₃	1	2	yes	complemented
995	C₂³×C₄	—	3	1	no	—
996	#127	—	3	2	no	—
997	#127	—	3	1	no	—
998	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
999	#124	—	3	1	no	—
1000	#124	—	3	2	no	—
1001	#124	—	3	1	no	—
1002	#123	—	3	2	no	—
1003	#123	—	3	1	no	—
1004	#123	—	3	2	no	—
1005	#123	—	3	2	no	—
1006	#123	—	3	1	no	—
1007	#123	—	3	2	no	—
1008	#123	—	3	2	no	—
1009	C₂²⋊Q₈	—	3	1	no	—
1010	C₂²⋊Q₈	—	3	1	no	—
1011	C₂²⋊Q₈	—	3	1	no	—
1012	C₂²⋊Q₈	—	3	1	no	—
1013	#121	—	3	1	no	—
1014	#121	—	3	2	no	—
1015	#121	—	3	1	no	—
1016	#121	—	3	1	no	—
1017	#121	—	3	2	no	—
1018	#121	—	3	2	no	—
1019	#121	—	3	2	no	—
1020	#121	—	3	2	no	—
1021	#121	—	3	2	no	—
1022	#121	—	3	2	no	—
1023	#121	—	3	1	no	—
1024	#121	—	3	1	no	—
1025	#121	—	3	1	no	—
1026	#121	—	3	2	no	—
1027	#121	—	3	2	no	—
1028	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1029	#121	C₂×C₃×D₃	1	2	yes	complemented
1030	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1031	#120	—	3	2	no	—
1032	#120	—	3	2	no	—
1033	#120	—	3	2	no	—
1034	#120	—	3	1	no	—
1035	#120	—	3	2	no	—
1036	#120	—	3	2	no	—
1037	#120	—	3	2	no	—
1038	#120	—	3	2	no	—
1039	#120	—	3	2	no	—
1040	#120	—	3	2	no	—
1041	#120	—	3	2	no	—
1042	#120	—	3	2	no	—
1043	#120	—	3	2	no	—
1044	#120	—	3	1	no	—
1045	#120	—	3	2	no	—
1046	#120	—	3	2	no	—
1047	#120	—	3	2	no	—
1048	#120	C₂×C₃×D₃	1	2	yes	complemented
1049	#120	C₂×C₃×D₃	1	2	yes	complemented
1050	C₄×D₄	—	3	1	no	—
1051	C₄×D₄	—	3	2	no	—
1052	C₄×D₄	—	3	1	no	—
1053	C₄×D₄	—	3	2	no	—
1054	C₄×D₄	—	3	1	no	—
1055	C₄×D₄	—	3	1	no	—
1056	C₄×D₄	—	3	2	no	—
1057	C₄×D₄	—	3	2	no	—
1058	C₄×D₄	—	3	1	no	—
1059	C₄×D₄	—	3	1	no	—
1060	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1061	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1062	#117	—	3	1	no	—
1063	#117	—	3	1	no	—
1064	C₂×C₂²⋊C₄	—	3	2	no	—
1065	C₂×C₂²⋊C₄	—	3	2	no	—
1066	C₂×C₂²⋊C₄	—	3	2	no	—
1067	C₂×C₂²⋊C₄	—	3	2	no	—
1068	C₂×C₂²⋊C₄	—	3	2	no	—
1069	C₂×C₂²⋊C₄	—	3	2	no	—
1070	C₂³×C₃	—	2	4	no	—
1071	C₂³×C₃	—	2	4	no	—
1072	C₂³×C₃	—	2	4	no	—
1073	C₂³×C₃	—	2	4	no	—
1074	C₂³×C₃	—	2	4	no	—
1075	C₂³×C₃	—	2	4	no	—
1076	C₂³×C₃	—	2	1	no	—
1077	C₂³×C₃	—	2	2	no	—
1078	C₂³×C₃	—	2	1	no	—
1079	C₂³×C₃	—	2	2	no	—
1080	C₂³×C₃	—	2	2	no	—
1081	C₂³×C₃	—	3	1	no	—
1082	C₂³×C₃	—	3	1	no	—
1083	C₂³×C₃	—	3	2	no	—
1084	C₂³×C₃	—	3	8	no	—
1085	C₂³×C₃	—	3	2	no	—
1086	C₂³×C₃	—	3	1	no	—
1087	C₂³×C₃	—	4	4	no	—
1088	C₂³×C₃	—	4	4	no	—
1089	C₂³×C₃	—	4	4	no	—
1090	C₂³×C₃	—	4	2	no	—
1091	C₂³×C₃	—	4	2	no	—
1092	C₂³×C₃	—	4	2	no	—
1093	C₂³×C₃	—	4	2	no	—
1094	C₂³×C₃	—	4	2	no	—
1095	C₂³×C₃	—	4	2	no	—
1096	C₂³×C₃	—	4	4	no	—
1097	C₂³×C₃	—	6	2	no	—
1098	C₂³×C₃	—	6	2	no	—
1099	C₂³×C₃	—	6	4	no	—
1100	C₂³×C₃	—	6	4	no	—
1101	C₂³×C₃	—	6	4	no	—
1102	C₂³×C₃	—	6	4	no	—
1103	C₂³×C₃	—	6	4	no	—
1104	C₂³×C₃	—	6	4	no	—
1105	C₂³×C₃	—	6	2	no	—
1106	C₂³×C₃	—	6	4	no	—
1107	C₂³×C₃	—	6	4	no	—
1108	C₂³×C₃	—	8	2	no	—
1109	C₂³×C₃	—	8	2	no	—
1110	C₂³×C₃	—	12	2	no	—
1111	C₂³×C₃	—	12	2	no	—
1112	C₂³×C₃	—	12	2	no	—
1113	C₂³×C₃	—	12	2	no	—
1114	C₂³×C₃	—	12	2	no	—
1115	C₂³×C₃	—	12	2	no	—
1116	C₂³×C₃	—	12	2	no	—
1117	C₂³×C₃	—	12	2	no	—
1118	C₂³×C₃	—	12	2	no	—
1119	C₂³×C₃	—	12	32	no	—
1120	C₂³×C₃	C₂³×D₃	1	2	yes	—
1121	C₂³×C₃	C₂³×D₃	1	2	yes	—
1122	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1123	C₂³×C₃	C₂³×D₃	1	2	yes	—
1124	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1125	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1126	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1127	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1128	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1129	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1130	C₂²×D₃	—	2	2	no	—
1131	C₂²×D₃	—	2	2	no	—
1132	C₂²×D₃	—	2	2	no	—
1133	C₂²×D₃	—	2	4	no	—
1134	C₂²×D₃	—	2	4	no	—
1135	C₂²×D₃	—	2	4	no	—
1136	C₂²×D₃	—	2	4	no	—
1137	C₂²×D₃	—	2	4	no	—
1138	C₂²×D₃	—	2	4	no	—
1139	C₂²×D₃	—	2	4	no	—
1140	C₂²×D₃	—	2	4	no	—
1141	C₂²×D₃	—	4	2	no	—
1142	C₂²×D₃	—	4	2	no	—
1143	C₂²×D₃	—	4	2	no	—
1144	C₂²×D₃	—	4	2	no	—
1145	C₂²×D₃	—	4	2	no	—
1146	C₂²×D₃	—	4	2	no	—
1147	C₂²×D₃	—	4	2	no	—
1148	C₂²×D₃	—	4	2	no	—
1149	C₂²×D₃	—	4	2	no	—
1150	C₂²×D₃	—	4	32	no	—
1151	C₂²×D₃	C₂×C₃×D₄	1	8	yes	complemented
1152	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1153	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1154	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1155	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1156	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1157	C₃×Q₈	—	6	2	no	—
1158	C₃×Q₈	—	6	2	no	—
1159	C₃×D₄	—	2	4	no	—
1160	C₃×D₄	—	2	4	no	—
1161	C₃×D₄	—	2	4	no	—
1162	C₃×D₄	—	2	2	no	—
1163	C₃×D₄	—	2	4	no	—
1164	C₃×D₄	—	2	4	no	—
1165	C₃×D₄	—	2	4	no	—
1166	C₃×D₄	—	2	4	no	—
1167	C₃×D₄	—	2	2	no	—
1168	C₃×D₄	—	2	2	no	—
1169	C₃×D₄	—	2	2	no	—
1170	C₃×D₄	—	2	2	no	—
1171	C₃×D₄	—	2	2	no	—
1172	C₃×D₄	—	2	4	no	—
1173	C₃×D₄	—	3	8	no	—
1174	C₃×D₄	—	3	4	no	—
1175	C₃×D₄	—	4	2	no	—
1176	C₃×D₄	—	4	2	no	—
1177	C₃×D₄	—	4	4	no	—
1178	C₃×D₄	—	4	4	no	—
1179	C₃×D₄	—	4	4	no	—
1180	C₃×D₄	—	4	2	no	—
1181	C₃×D₄	—	4	2	no	—
1182	C₃×D₄	—	4	2	no	—
1183	C₃×D₄	—	4	2	no	—
1184	C₃×D₄	—	4	2	no	—
1185	C₃×D₄	—	4	2	no	—
1186	C₃×D₄	—	4	4	no	—
1187	C₃×D₄	—	4	4	no	—
1188	C₃×D₄	—	6	4	no	—
1189	C₃×D₄	—	6	2	no	—
1190	C₃×D₄	—	6	2	no	—
1191	C₃×D₄	—	6	4	no	—
1192	C₃×D₄	—	6	2	no	—
1193	C₃×D₄	—	6	4	no	—
1194	C₃×D₄	—	6	2	no	—
1195	C₃×D₄	—	6	4	no	—
1196	C₃×D₄	—	6	4	no	—
1197	C₃×D₄	—	6	4	no	—
1198	C₃×D₄	—	6	4	no	—
1199	C₃×D₄	—	6	2	no	—
1200	C₃×D₄	—	6	4	no	—
1201	C₃×D₄	—	6	4	no	—
1202	C₃×D₄	—	6	2	no	—
1203	C₃×D₄	—	6	2	no	—
1204	C₃×D₄	—	8	2	no	—
1205	C₃×D₄	—	12	2	no	—
1206	C₃×D₄	—	12	2	no	—
1207	C₃×D₄	—	12	2	no	—
1208	C₃×D₄	—	12	2	no	—
1209	C₃×D₄	—	12	2	no	—
1210	C₃×D₄	D₃×D₄	1	4	yes	complemented
1211	C₃×D₄	C₂×C₃×D₄	1	4	yes	complemented
1212	C₂×C₃×C₄	—	2	2	no	—
1213	C₂×C₃×C₄	—	2	2	no	—
1214	C₂×C₃×C₄	—	2	2	no	—
1215	C₂×C₃×C₄	—	2	2	no	—
1216	C₂×C₃×C₄	—	2	1	no	—
1217	C₂×C₃×C₄	—	2	1	no	—
1218	C₂×C₃×C₄	—	2	1	no	—
1219	C₂×C₃×C₄	—	2	2	no	—
1220	C₂×C₃×C₄	—	2	1	no	—
1221	C₂×C₃×C₄	—	2	1	no	—
1222	C₂×C₃×C₄	—	3	1	no	—
1223	C₂×C₃×C₄	—	3	4	no	—
1224	C₂×C₃×C₄	—	3	1	no	—
1225	C₂×C₃×C₄	—	3	1	no	—
1226	C₂×C₃×C₄	—	3	2	no	—
1227	C₂×C₃×C₄	—	3	1	no	—
1228	C₂×C₃×C₄	—	3	2	no	—
1229	C₂×C₃×C₄	—	3	1	no	—
1230	C₂×C₃×C₄	—	4	2	no	—
1231	C₂×C₃×C₄	—	4	2	no	—
1232	C₂×C₃×C₄	—	4	2	no	—
1233	C₂×C₃×C₄	—	4	2	no	—
1234	C₂×C₃×C₄	—	4	4	no	—
1235	C₂×C₃×C₄	—	6	2	no	—
1236	C₂×C₃×C₄	—	6	2	no	—
1237	C₂×C₃×C₄	—	6	4	no	—
1238	C₂×C₃×C₄	—	6	2	no	—
1239	C₂×C₃×C₄	—	6	4	no	—
1240	C₂×C₃×C₄	—	6	4	no	—
1241	C₂×C₃×C₄	—	6	2	no	—
1242	C₂×C₃×C₄	—	6	2	no	—
1243	C₂×C₃×C₄	—	12	2	no	—
1244	C₂×C₃×C₄	—	12	2	no	—
1245	C₂×C₃×C₄	—	12	2	no	—
1246	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1247	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1248	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1249	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1250	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1251	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1252	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1253	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1254	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1255	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1256	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1257	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1258	#67	—	2	4	no	—
1259	#67	—	2	4	no	—
1260	#67	—	2	2	no	—
1261	#67	—	2	2	no	—
1262	#67	—	2	4	no	—
1263	#67	—	2	4	no	—
1264	#67	—	2	4	no	—
1265	#67	—	2	4	no	—
1266	#67	—	2	4	no	—
1267	#67	—	2	2	no	—
1268	#67	—	2	2	no	—
1269	#67	—	2	4	no	—
1270	#67	—	4	2	no	—
1271	#67	—	4	2	no	—
1272	#67	—	4	2	no	—
1273	#67	—	4	2	no	—
1274	#67	C₂×C₃×D₄	1	8	yes	complemented
1275	C₂×Dic₃	—	2	4	no	—
1276	C₂×Dic₃	—	2	2	no	—
1277	C₂×Dic₃	—	2	4	no	—
1278	C₂×Dic₃	—	4	2	no	—
1279	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1280	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1281	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1282	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1283	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1284	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1285	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1286	D₁₂	—	2	4	no	—
1287	D₁₂	—	2	2	no	—
1288	D₁₂	—	2	2	no	—
1289	D₁₂	—	2	2	no	—
1290	D₁₂	—	4	2	no	—
1291	D₁₂	C₂×C₃×D₄	1	4	yes	complemented
1292	C₄×D₃	—	2	2	no	—
1293	C₄×D₃	—	2	4	no	—
1294	C₄×D₃	—	2	2	no	—
1295	C₄×D₃	—	2	2	no	—
1296	C₄×D₃	—	2	2	no	—
1297	C₄×D₃	—	4	2	no	—
1298	C₄×D₃	—	4	2	no	—
1299	C₄×D₃	C₂×C₃×D₄	1	4	yes	complemented
1300	Dic₆	—	2	2	no	—
1301	Dic₆	—	2	2	no	—
1302	C₂×C₃²	—	2	2	no	—
1303	C₂×C₃²	—	2	4	no	—
1304	C₂×C₃²	—	4	1	no	—
1305	C₂×C₃²	—	4	2	no	—
1306	C₂×C₃²	—	4	2	no	—
1307	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
1308	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1309	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1310	C₃×D₃	—	2	2	no	—
1311	C₃×D₃	—	2	2	no	—
1312	C₃×D₃	—	2	4	no	—
1313	C₃×D₃	—	4	2	no	—
1314	C₃×D₃	—	4	1	no	—
1315	C₂⁴	—	3	2	no	—
1316	C₂⁴	—	3	1	no	—
1317	C₂⁴	—	3	2	no	—
1318	C₂⁴	—	3	2	no	—
1319	C₂⁴	—	3	2	no	—
1320	C₂⁴	—	3	2	no	—
1321	C₂⁴	—	3	2	no	—
1322	C₂⁴	—	6	8	no	—
1323	C₂⁴	—	12	4	no	—
1324	C₂⁴	—	12	4	no	—
1325	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1326	C₂⁴	C₂²×C₃×D₃	1	2	yes	complemented
1327	#41	—	6	4	no	—
1328	#41	—	6	4	no	—
1329	#41	—	6	4	no	—
1330	#41	—	6	8	no	—
1331	#41	—	6	4	no	—
1332	C₂×Q₈	—	3	1	no	—
1333	C₂×Q₈	—	3	1	no	—
1334	C₂×D₄	—	2	4	no	—
1335	C₂×D₄	—	2	4	no	—
1336	C₂×D₄	—	3	2	no	—
1337	C₂×D₄	—	3	8	no	—
1338	C₂×D₄	—	3	2	no	—
1339	C₂×D₄	—	3	1	no	—
1340	C₂×D₄	—	3	1	no	—
1341	C₂×D₄	—	3	2	no	—
1342	C₂×D₄	—	3	1	no	—
1343	C₂×D₄	—	3	2	no	—
1344	C₂×D₄	—	3	2	no	—
1345	C₂×D₄	—	3	2	no	—
1346	C₂×D₄	—	3	2	no	—
1347	C₂×D₄	—	3	2	no	—
1348	C₂×D₄	—	3	2	no	—
1349	C₂×D₄	—	3	1	no	—
1350	C₂×D₄	—	3	2	no	—
1351	C₂×D₄	—	3	2	no	—
1352	C₂×D₄	—	3	2	no	—
1353	C₂×D₄	—	3	2	no	—
1354	C₂×D₄	—	3	1	no	—
1355	C₂×D₄	—	3	1	no	—
1356	C₂×D₄	—	3	1	no	—
1357	C₂×D₄	—	3	2	no	—
1358	C₂×D₄	—	3	1	no	—
1359	C₂×D₄	—	3	2	no	—
1360	C₂×D₄	—	4	4	no	—
1361	C₂×D₄	—	6	4	no	—
1362	C₂×D₄	—	6	4	no	—
1363	C₂×D₄	—	6	8	no	—
1364	C₂×D₄	—	6	4	no	—
1365	C₂×D₄	—	6	4	no	—
1366	C₂×D₄	—	6	8	no	—
1367	C₂×D₄	—	6	8	no	—
1368	C₂×D₄	—	6	8	no	—
1369	C₂×D₄	—	6	8	no	—
1370	C₂×D₄	—	6	8	no	—
1371	C₂×D₄	—	6	4	no	—
1372	C₂×D₄	—	12	4	no	—
1373	C₂×D₄	—	12	4	no	—
1374	C₂×D₄	—	12	4	no	—
1375	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1376	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1377	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1378	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1379	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1380	C₂×D₄	C₂²×C₃×D₃	1	2	yes	complemented
1381	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1382	C₂×D₄	C₂²×C₃×D₃	1	2	yes	complemented
1383	C₂×D₄	C₂²×C₃×D₃	1	2	yes	complemented
1384	C₂×D₄	C₂²×C₃×D₃	1	2	yes	complemented
1385	C₂²×C₄	—	3	1	no	—
1386	C₂²×C₄	—	3	2	no	—
1387	C₂²×C₄	—	3	2	no	—
1388	C₂²×C₄	—	3	1	no	—
1389	C₂²×C₄	—	3	2	no	—
1390	C₂²×C₄	—	3	2	no	—
1391	C₂²×C₄	—	3	1	no	—
1392	C₂²×C₄	—	3	1	no	—
1393	C₂²×C₄	—	3	1	no	—
1394	C₂²×C₄	—	3	1	no	—
1395	C₂²×C₄	—	3	2	no	—
1396	C₂²×C₄	—	3	2	no	—
1397	C₂²×C₄	—	6	4	no	—
1398	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1400	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	complemented
1401	C₄⋊C₄	—	3	1	no	—
1402	C₄⋊C₄	—	3	1	no	—
1403	C₄⋊C₄	—	3	1	no	—
1404	C₄⋊C₄	—	3	1	no	—
1405	C₄⋊C₄	—	3	2	no	—
1406	C₄⋊C₄	—	3	1	no	—
1407	C₄⋊C₄	—	3	2	no	—
1408	C₄⋊C₄	—	3	1	no	—
1409	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1410	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1411	C₂²⋊C₄	—	3	1	no	—
1412	C₂²⋊C₄	—	3	2	no	—
1413	C₂²⋊C₄	—	3	2	no	—
1414	C₂²⋊C₄	—	3	2	no	—
1415	C₂²⋊C₄	—	3	2	no	—
1416	C₂²⋊C₄	—	3	2	no	—
1417	C₂²⋊C₄	—	3	2	no	—
1418	C₂²⋊C₄	—	3	1	no	—
1419	C₂²⋊C₄	—	3	2	no	—
1420	C₂²⋊C₄	—	3	1	no	—
1421	C₂²⋊C₄	—	3	1	no	—
1422	C₂²⋊C₄	—	3	1	no	—
1423	C₂²⋊C₄	—	3	2	no	—
1424	C₂²⋊C₄	—	3	1	no	—
1425	C₂²⋊C₄	—	3	2	no	—
1426	C₂²⋊C₄	—	3	2	no	—
1427	C₂²⋊C₄	—	3	2	no	—
1428	C₂²⋊C₄	—	3	2	no	—
1429	C₂²⋊C₄	—	3	2	no	—
1430	C₂²⋊C₄	—	3	2	no	—
1431	C₂²⋊C₄	—	3	1	no	—
1432	C₂²⋊C₄	—	3	1	no	—
1433	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1434	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1435	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1436	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1437	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1438	C₄²	—	3	2	no	—
1439	C₄²	—	3	1	no	—
1440	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1441	C₂²×C₃	—	2	1	no	—
1442	C₂²×C₃	—	2	2	no	—
1443	C₂²×C₃	—	2	2	no	—
1444	C₂²×C₃	—	2	1	no	—
1445	C₂²×C₃	—	2	1	no	—
1446	C₂²×C₃	—	2	2	no	—
1447	C₂²×C₃	—	2	2	no	—
1448	C₂²×C₃	—	2	1	no	—
1449	C₂²×C₃	—	2	2	no	—
1450	C₂²×C₃	—	2	1	no	—
1451	C₂²×C₃	—	2	2	no	—
1452	C₂²×C₃	—	2	2	no	—
1453	C₂²×C₃	—	2	1	no	—
1454	C₂²×C₃	—	2	2	no	—
1455	C₂²×C₃	—	2	2	no	—
1456	C₂²×C₃	—	2	2	no	—
1457	C₂²×C₃	—	2	2	no	—
1458	C₂²×C₃	—	2	1	no	—
1459	C₂²×C₃	—	2	2	no	—
1460	C₂²×C₃	—	2	1	no	—
1461	C₂²×C₃	—	2	2	no	—
1462	C₂²×C₃	—	2	1	no	—
1463	C₂²×C₃	—	2	2	no	—
1464	C₂²×C₃	—	2	2	no	—
1465	C₂²×C₃	—	2	2	no	—
1466	C₂²×C₃	—	2	1	no	—
1467	C₂²×C₃	—	2	2	no	—
1468	C₂²×C₃	—	2	4	no	—
1469	C₂²×C₃	—	2	2	no	—
1470	C₂²×C₃	—	2	1	no	—
1471	C₂²×C₃	—	3	2	no	—
1472	C₂²×C₃	—	3	4	no	—
1473	C₂²×C₃	—	3	2	no	—
1474	C₂²×C₃	—	4	1	no	—
1475	C₂²×C₃	—	4	2	no	—
1476	C₂²×C₃	—	4	1	no	—
1477	C₂²×C₃	—	4	2	no	—
1478	C₂²×C₃	—	4	1	no	—
1479	C₂²×C₃	—	4	1	no	—
1480	C₂²×C₃	—	4	2	no	—
1481	C₂²×C₃	—	4	2	no	—
1482	C₂²×C₃	—	4	2	no	—
1483	C₂²×C₃	—	4	2	no	—
1484	C₂²×C₃	—	4	2	no	—
1485	C₂²×C₃	—	4	2	no	—
1486	C₂²×C₃	—	4	8	no	—
1487	C₂²×C₃	—	4	8	no	—
1488	C₂²×C₃	—	6	8	no	—
1489	C₂²×C₃	—	6	1	no	—
1490	C₂²×C₃	—	6	2	no	—
1491	C₂²×C₃	—	6	1	no	—
1492	C₂²×C₃	—	6	1	no	—
1493	C₂²×C₃	—	6	2	no	—
1494	C₂²×C₃	—	6	1	no	—
1495	C₂²×C₃	—	6	1	no	—
1496	C₂²×C₃	—	6	2	no	—
1497	C₂²×C₃	—	6	1	no	—
1498	C₂²×C₃	—	6	2	no	—
1499	C₂²×C₃	—	6	1	no	—
1500	C₂²×C₃	—	6	2	no	—
1501	C₂²×C₃	—	8	8	no	—
1502	C₂²×C₃	—	8	4	no	—
1503	C₂²×C₃	—	8	4	no	—
1504	C₂²×C₃	—	8	8	no	—
1505	C₂²×C₃	—	12	8	no	—
1506	C₂²×C₃	—	12	8	no	—
1507	C₂²×C₃	—	12	8	no	—
1508	C₂²×C₃	—	12	8	no	—
1509	C₂²×C₃	—	12	8	no	—
1510	C₂²×C₃	—	24	4	no	—
1511	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
1512	C₂²×C₃	#1004	1	2	yes	complemented
1513	C₂²×C₃	C₂²×C₃×D₄	1	4	yes	—
1514	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	complemented
1515	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1516	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1517	C₂×D₃	—	2	8	no	—
1518	C₂×D₃	—	2	1	no	—
1519	C₂×D₃	—	2	2	no	—
1520	C₂×D₃	—	2	2	no	—
1521	C₂×D₃	—	2	1	no	—
1522	C₂×D₃	—	2	1	no	—
1523	C₂×D₃	—	2	1	no	—
1524	C₂×D₃	—	2	1	no	—
1525	C₂×D₃	—	2	2	no	—
1526	C₂×D₃	—	2	1	no	—
1527	C₂×D₃	—	2	1	no	—
1528	C₂×D₃	—	2	2	no	—
1529	C₂×D₃	—	2	2	no	—
1530	C₂×D₃	—	4	8	no	—
1531	C₂×D₃	—	4	8	no	—
1532	C₂×D₃	—	4	8	no	—
1533	C₂×D₃	—	4	8	no	—
1534	C₂×D₃	—	4	8	no	—
1535	C₂×D₃	—	8	4	no	—
1536	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
1537	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
1538	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	complemented
1539	C₃×C₄	—	2	2	no	—
1540	C₃×C₄	—	2	1	no	—
1541	C₃×C₄	—	2	1	no	—
1542	C₃×C₄	—	2	1	no	—
1543	C₃×C₄	—	2	2	no	—
1544	C₃×C₄	—	2	1	no	—
1545	C₃×C₄	—	2	1	no	—
1546	C₃×C₄	—	2	1	no	—
1547	C₃×C₄	—	2	1	no	—
1548	C₃×C₄	—	2	2	no	—
1549	C₃×C₄	—	2	1	no	—
1550	C₃×C₄	—	2	2	no	—
1551	C₃×C₄	—	3	2	no	—
1552	C₃×C₄	—	4	1	no	—
1553	C₃×C₄	—	4	1	no	—
1554	C₃×C₄	—	4	2	no	—
1555	C₃×C₄	—	4	1	no	—
1556	C₃×C₄	—	6	1	no	—
1557	C₃×C₄	—	6	2	no	—
1558	C₃×C₄	—	6	1	no	—
1559	C₃×C₄	—	6	1	no	—
1560	C₃×C₄	—	6	2	no	—
1561	C₃×C₄	—	6	1	no	—
1562	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1563	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1564	Dic₃	—	2	2	no	—
1565	Dic₃	—	2	1	no	—
1566	Dic₃	—	2	1	no	—
1567	Dic₃	—	2	1	no	—
1568	Dic₃	—	2	2	no	—
1569	Dic₃	—	2	1	no	—
1570	Dic₃	C₂²×C₃×D₄	1	2	yes	—
1571	C₃²	#3484	1	1	yes	characteristic, complemented, Sylow
1572	C₂³	—	2	4	no	—
1573	C₂³	—	2	4	no	—
1574	C₂³	—	2	4	no	—
1575	C₂³	—	3	1	no	—
1576	C₂³	—	3	1	no	—
1577	C₂³	—	3	2	no	—
1578	C₂³	—	3	8	no	—
1579	C₂³	—	3	2	no	—
1580	C₂³	—	3	1	no	—
1581	C₂³	—	4	2	no	—
1582	C₂³	—	4	2	no	—
1583	C₂³	—	4	2	no	—
1584	C₂³	—	6	2	no	—
1585	C₂³	—	6	2	no	—
1586	C₂³	—	6	4	no	—
1587	C₂³	—	6	4	no	—
1588	C₂³	—	6	4	no	—
1589	C₂³	—	6	4	no	—
1590	C₂³	—	6	4	no	—
1591	C₂³	—	6	4	no	—
1592	C₂³	—	6	2	no	—
1593	C₂³	—	6	4	no	—
1594	C₂³	—	6	4	no	—
1595	C₂³	—	12	2	no	—
1596	C₂³	—	12	2	no	—
1597	C₂³	—	12	2	no	—
1598	C₂³	—	12	2	no	—
1599	C₂³	—	12	2	no	—
1600	C₂³	—	12	2	no	—
1601	C₂³	—	12	2	no	—
1602	C₂³	—	12	2	no	—
1603	C₂³	—	12	2	no	—
1604	C₂³	—	12	32	no	—
1605	C₂³	C₂³×C₃×D₃	1	2	yes	—
1606	C₂³	C₂³×C₃×D₃	1	2	yes	—
1607	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1608	C₂³	C₂³×C₃×D₃	1	2	yes	—
1609	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1610	Q₈	—	6	2	no	—
1611	Q₈	—	6	2	no	—
1612	D₄	—	2	4	no	—
1613	D₄	—	2	4	no	—
1614	D₄	—	2	2	no	—
1615	D₄	—	2	4	no	—
1616	D₄	—	2	2	no	—
1617	D₄	—	2	2	no	—
1618	D₄	—	3	8	no	—
1619	D₄	—	3	4	no	—
1620	D₄	—	4	2	no	—
1621	D₄	—	4	2	no	—
1622	D₄	—	4	2	no	—
1623	D₄	—	6	4	no	—
1624	D₄	—	6	2	no	—
1625	D₄	—	6	2	no	—
1626	D₄	—	6	4	no	—
1627	D₄	—	6	2	no	—
1628	D₄	—	6	4	no	—
1629	D₄	—	6	2	no	—
1630	D₄	—	6	4	no	—
1631	D₄	—	6	4	no	—
1632	D₄	—	6	4	no	—
1633	D₄	—	6	4	no	—
1634	D₄	—	6	2	no	—
1635	D₄	—	6	4	no	—
1636	D₄	—	6	4	no	—
1637	D₄	—	6	2	no	—
1638	D₄	—	6	2	no	—
1639	D₄	—	12	2	no	—
1640	D₄	—	12	2	no	—
1641	D₄	—	12	2	no	—
1642	D₄	—	12	2	no	—
1643	D₄	—	12	2	no	—
1644	D₄	C₃×D₃×D₄	1	4	yes	complemented
1645	C₂×C₄	—	2	2	no	—
1646	C₂×C₄	—	2	2	no	—
1647	C₂×C₄	—	3	1	no	—
1648	C₂×C₄	—	3	4	no	—
1649	C₂×C₄	—	3	1	no	—
1650	C₂×C₄	—	3	2	no	—
1651	C₂×C₄	—	3	1	no	—
1652	C₂×C₄	—	3	1	no	—
1653	C₂×C₄	—	3	2	no	—
1654	C₂×C₄	—	3	1	no	—
1655	C₂×C₄	—	4	2	no	—
1656	C₂×C₄	—	6	2	no	—
1657	C₂×C₄	—	6	2	no	—
1658	C₂×C₄	—	6	4	no	—
1659	C₂×C₄	—	6	2	no	—
1660	C₂×C₄	—	6	4	no	—
1661	C₂×C₄	—	6	4	no	—
1662	C₂×C₄	—	6	2	no	—
1663	C₂×C₄	—	6	2	no	—
1664	C₂×C₄	—	12	2	no	—
1665	C₂×C₄	—	12	2	no	—
1666	C₂×C₄	—	12	2	no	—
1667	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1668	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1669	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1670	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1671	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1672	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1673	C₂×C₃	—	2	2	no	—
1674	C₂×C₃	—	2	4	no	—
1675	C₂×C₃	—	2	2	no	—
1676	C₂×C₃	—	2	4	no	—
1677	C₂×C₃	—	2	1	no	—
1678	C₂×C₃	—	2	1	no	—
1679	C₂×C₃	—	2	1	no	—
1680	C₂×C₃	—	4	2	no	—
1681	C₂×C₃	—	4	4	no	—
1682	C₂×C₃	—	4	2	no	—
1683	C₂×C₃	—	4	2	no	—
1684	C₂×C₃	—	4	2	no	—
1685	C₂×C₃	—	4	1	no	—
1686	C₂×C₃	—	4	2	no	—
1687	C₂×C₃	—	4	1	no	—
1688	C₂×C₃	—	4	2	no	—
1689	C₂×C₃	—	6	2	no	—
1690	C₂×C₃	—	6	2	no	—
1691	C₂×C₃	—	6	4	no	—
1692	C₂×C₃	—	8	2	no	—
1693	C₂×C₃	—	8	2	no	—
1694	C₂×C₃	—	12	2	no	—
1695	C₂×C₃	—	12	1	no	—
1696	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1697	C₂×C₃	C₂×#1004	1	1	yes	characteristic
1698	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1699	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1700	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1701	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1702	D₃	—	2	2	no	—
1703	D₃	—	2	2	no	—
1704	D₃	—	2	4	no	—
1705	D₃	—	4	2	no	—
1706	D₃	—	4	1	no	—
1707	C₂²	—	2	1	no	—
1708	C₂²	—	2	2	no	—
1709	C₂²	—	2	2	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	2	no	—
1713	C₂²	—	2	2	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	2	no	—
1716	C₂²	—	2	2	no	—
1717	C₂²	—	2	2	no	—
1718	C₂²	—	2	2	no	—
1719	C₂²	—	2	1	no	—
1720	C₂²	—	3	2	no	—
1721	C₂²	—	3	4	no	—
1722	C₂²	—	3	2	no	—
1723	C₂²	—	4	8	no	—
1724	C₂²	—	6	8	no	—
1725	C₂²	—	6	1	no	—
1726	C₂²	—	6	2	no	—
1727	C₂²	—	6	1	no	—
1728	C₂²	—	6	1	no	—
1729	C₂²	—	6	2	no	—
1730	C₂²	—	6	1	no	—
1731	C₂²	—	6	1	no	—
1732	C₂²	—	6	2	no	—
1733	C₂²	—	6	1	no	—
1734	C₂²	—	6	2	no	—
1735	C₂²	—	6	1	no	—
1736	C₂²	—	6	2	no	—
1737	C₂²	—	8	4	no	—
1738	C₂²	—	12	8	no	—
1739	C₂²	—	12	8	no	—
1740	C₂²	—	12	8	no	—
1741	C₂²	—	12	8	no	—
1742	C₂²	—	12	8	no	—
1743	C₂²	—	24	4	no	—
1744	C₂²	C₂×C₃×D₃×D₄	1	4	yes	—
1745	C₂²	C₃×#1004	1	2	yes	complemented
1746	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	2	no	—
1751	C₄	—	2	1	no	—
1752	C₄	—	3	2	no	—
1753	C₄	—	6	1	no	—
1754	C₄	—	6	2	no	—
1755	C₄	—	6	1	no	—
1756	C₄	—	6	1	no	—
1757	C₄	—	6	2	no	—
1758	C₄	—	6	1	no	—
1759	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1760	C₃	—	2	1	no	—
1761	C₃	#86620	1	1	yes	characteristic, direct product factor
1762	C₃	C₃×#3484	1	1	yes	characteristic, complemented
1763	C₂	—	2	2	no	—
1764	C₂	—	2	4	no	—
1765	C₂	—	4	2	no	—
1766	C₂	—	4	1	no	—
1767	C₂	—	4	2	no	—
1768	C₂	—	6	2	no	—
1769	C₂	—	6	2	no	—
1770	C₂	—	6	4	no	—
1771	C₂	—	12	2	no	—
1772	C₂	—	12	1	no	—
1773	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1774	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1775	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×D₄²	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×D₄²	D₃
hypocenter	C₃	C₃×#3484
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#1004	C₂	semidirect
2. C₂²×C₃×D₃×D₄	C₂	semidirect
3. C₃²×D₄²	C₂	semidirect
4. C₃×#5806	C₂	semidirect
5. C₃×D₄×#67	C₂	semidirect
6. C₃×D₄×#67	C₂	semidirect
7. C₂×C₃×#937	C₂	semidirect
8. C₃×#5717	C₂	semidirect
9. C₃×#5715	C₂	semidirect
10. C₃×#5612	C₂	semidirect
11. C₃×#5610	C₂	semidirect
12. C₃×#5609	C₂	semidirect
13. C₃×#5607	C₂	semidirect
14. C₃×#5606	C₂	semidirect
15. C₃×#5605	C₂	semidirect
16. C₃×#5591	C₂	semidirect
17. C₃×#5590	C₂	semidirect
18. C₃×#5589	C₂	semidirect
19. C₃×D₃×#120	C₂	semidirect
20. C₃×#5554	C₂	semidirect
21. C₃×#5550	C₂	semidirect
22. C₃×#5547	C₂	semidirect
23. C₃×#5545	C₂	semidirect
25. #86620	C₃	direct (N × H)
26. C₂⁴×C₃×D₃	C₂²	semidirect
27. C₂²×C₃²×D₄	C₂²	semidirect
28. C₂²×C₃²×D₄	C₂²	semidirect
29. C₂²×C₃²×D₄	C₂²	semidirect
30. C₂²×C₃×#67	C₂²	semidirect
31. C₂²×C₃×#67	C₂²	semidirect
32. C₂²×C₃×#67	C₂²	semidirect
33. C₂²×C₃×#67	C₂²	semidirect
35. C₂×C₃×#237	C₂²	semidirect
36. C₂×C₃×#237	C₂²	semidirect
37. C₂×C₃×#237	C₂²	semidirect
40. C₂×C₃×D₃×D₄	C₂²	semidirect
41. C₂×C₃×D₃×D₄	C₂²	semidirect
42. C₂×C₃×D₃×D₄	C₂²	semidirect
43. C₂×C₃×D₃×D₄	C₂²	semidirect
44. C₂×C₃×D₃×D₄	C₂²	semidirect
45. C₂×C₃×D₃×D₄	C₂²	semidirect
46. C₂×C₃×D₃×D₄	C₂²	semidirect
47. C₂×C₃×D₃×D₄	C₂²	semidirect
48. C₂×C₃×D₃×D₄	C₂²	semidirect
49. C₂×C₃×#235	C₂²	semidirect
50. C₂×C₃×#235	C₂²	semidirect
51. C₂²×C₃×D₁₂	C₂²	semidirect
52. C₂²×C₃×C₄×D₃	C₂²	semidirect
53. C₃²×#127	C₂²	semidirect
54. C₃²×#121	C₂²	semidirect
55. C₃²×#121	C₂²	semidirect
56. C₃²×#121	C₂²	semidirect
57. C₃²×#120	C₂²	semidirect
58. C₃²×#120	C₂²	semidirect
59. C₃²×C₄×D₄	C₂²	semidirect
60. C₃²×C₄×D₄	C₂²	semidirect
61. C₃×#953	C₂²	semidirect
62. C₃×#953	C₂²	semidirect
63. C₂×C₃×#217	C₂²	semidirect
64. C₃×#940	C₂²	semidirect
65. C₃×#940	C₂²	semidirect
66. C₃×#939	C₂²	semidirect
67. C₃×#939	C₂²	semidirect
68. C₃×#939	C₂²	semidirect
69. C₃×#939	C₂²	semidirect
70. C₃×#939	C₂²	semidirect
71. C₃×#938	C₂²	semidirect
72. C₃×#938	C₂²	semidirect
73. C₃×#938	C₂²	semidirect
74. C₃×#938	C₂²	semidirect
75. C₃×#937	C₂²	semidirect
76. C₃×#937	C₂²	semidirect
77. C₃×#937	C₂²	semidirect
78. C₃×#937	C₂²	semidirect
79. C₃×#937	C₂²	semidirect
80. C₃×#937	C₂²	semidirect
81. C₃×#937	C₂²	semidirect
82. C₃×#937	C₂²	semidirect
83. C₃×#937	C₂²	semidirect
84. C₃×#937	C₂²	semidirect
85. C₃×#937	C₂²	semidirect
86. C₃×#936	C₂²	semidirect
87. C₃×#935	C₂²	semidirect
88. C₃×D₄×Dic₃	C₂²	semidirect
89. C₃×D₄×Dic₃	C₂²	semidirect
90. C₃×#930	C₂²	semidirect
91. C₃×#930	C₂²	semidirect
92. C₃×C₄×#67	C₂²	semidirect
93. C₃×C₄×#67	C₂²	semidirect
94. C₃×C₄×#67	C₂²	semidirect
95. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
96. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
97. C₃×#924	C₂²	semidirect
98. C₃×#897	C₂²	semidirect
99. C₃×#896	C₂²	semidirect
100. C₃×#895	C₂²	semidirect
101. C₃×#894	C₂²	semidirect
102. C₃×#894	C₂²	semidirect
103. C₃×#893	C₂²	semidirect
104. C₃×#892	C₂²	semidirect
105. C₃×#886	C₂²	semidirect
106. C₃×#885	C₂²	semidirect
107. C₃×#884	C₂²	semidirect
108. C₃×#884	C₂²	semidirect
109. C₃×#884	C₂²	semidirect
110. C₃×#883	C₂²	semidirect
111. C₃×#883	C₂²	semidirect
112. C₃×#883	C₂²	semidirect
113. C₃×#882	C₂²	semidirect
114. C₃×#882	C₂²	semidirect
115. C₃×#882	C₂²	semidirect
116. C₃×#882	C₂²	semidirect
117. C₃×#67⋊C₄	C₂²	semidirect
118. C₃×#67⋊C₄	C₂²	semidirect
119. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
120. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
121. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
122. C₃×#878	C₂²	semidirect
123. C₃×#875	C₂²	semidirect
124. C₃×C₄×D₁₂	C₂²	semidirect
125. C₃×C₄×D₁₂	C₂²	semidirect
126. C₃×#872	C₂²	semidirect
129. C₂×#1004	C₂×C₃	semidirect
130. C₂²×D₃×D₄	C₂×C₃	semidirect
143. C₃×D₄²	D₃	semidirect
144. C₃×D₄²	C₂×C₃	semidirect
154. #5806	C₂×C₃	semidirect
155. D₄×#67	C₂×C₃	semidirect
156. D₄×#67	C₂×C₃	semidirect
157. C₂×#937	C₂×C₃	semidirect
158. #5717	C₂×C₃	semidirect
159. #5715	C₂×C₃	semidirect
160. #5612	C₂×C₃	semidirect
161. #5610	C₂×C₃	semidirect
162. #5609	C₂×C₃	semidirect
163. #5607	C₂×C₃	semidirect
164. #5606	C₂×C₃	semidirect
165. #5605	C₂×C₃	semidirect
166. #5591	C₂×C₃	semidirect
167. #5590	C₂×C₃	semidirect
168. #5589	C₂×C₃	semidirect
169. D₃×#120	C₂×C₃	semidirect
170. #5554	C₂×C₃	semidirect
171. #5550	C₂×C₃	semidirect
172. #5547	C₂×C₃	semidirect
173. #5545	C₂×C₃	semidirect
175. C₂⁴×C₃²	C₂³	semidirect
185. C₂³×C₃×D₃	C₂³	semidirect
194. C₂×C₃²×D₄	C₂³	semidirect
195. C₂×C₃²×D₄	C₂³	semidirect
196. C₂×C₃²×D₄	C₂³	semidirect
197. C₂×C₃²×D₄	C₂³	semidirect
198. C₂×C₃²×D₄	C₂³	semidirect
200. C₂²×C₃²×C₄	C₂³	semidirect
201. C₂²×C₃²×C₄	C₂³	semidirect
215. C₂×C₃×#67	C₂³	semidirect
216. C₂×C₃×#67	C₂³	semidirect
217. C₂×C₃×#67	C₂³	semidirect
218. C₂×C₃×#67	C₂³	semidirect
219. C₂×C₃×#67	C₂³	semidirect
220. C₂×C₃×#67	C₂³	semidirect
221. C₂×C₃×#67	C₂³	semidirect
222. C₂×C₃×#67	C₂³	semidirect
224. C₂²×C₃×Dic₃	C₂³	semidirect
225. C₂²×C₃×Dic₃	C₂³	semidirect
226. C₂²×C₃×Dic₃	C₂³	semidirect
239. C₃×D₃×D₄	D₄	semidirect
248. C₂×C₃×D₁₂	C₂³	semidirect
254. C₂×C₃×C₄×D₃	C₂³	semidirect
255. C₂×C₃×C₄×D₃	C₂³	semidirect
256. C₂×C₃×C₄×D₃	C₂³	semidirect
257. C₂×C₃×C₄×D₃	C₂³	semidirect
258. C₂×C₃×Dic₆	C₂³	semidirect
259. C₂×C₃×Dic₆	C₂³	semidirect
260. C₃²×C₄⋊C₄	C₂³	semidirect
261. C₃²×C₄⋊C₄	C₂³	semidirect
263. C₃²×C₂²⋊C₄	C₂³	semidirect
264. C₃²×C₂²⋊C₄	C₂³	semidirect
265. C₃²×C₂²⋊C₄	C₂³	semidirect
266. C₃²×C₂²⋊C₄	C₂³	semidirect
267. C₃²×C₄²	C₂³	semidirect
270. C₃×#217	C₂³	semidirect
271. C₃×#217	C₂³	semidirect
272. C₃×#217	C₂³	semidirect
273. C₃×#217	C₂³	semidirect
274. C₃×#217	C₂³	semidirect
275. C₃×#217	C₂³	semidirect
282. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
283. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
284. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
285. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
286. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
287. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
288. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
289. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
290. C₃×C₄⋊Dic₃	C₂³	semidirect
291. C₃×C₄⋊Dic₃	C₂³	semidirect
292. C₃×C₄⋊Dic₃	C₂³	semidirect
293. C₃×Dic₃⋊C₄	C₂³	semidirect
294. C₃×Dic₃⋊C₄	C₂³	semidirect
295. C₃×Dic₃⋊C₄	C₂³	semidirect
296. C₃×Dic₃⋊C₄	C₂³	semidirect
297. C₃×Dic₃⋊C₄	C₂³	semidirect
298. C₃×C₄×Dic₃	C₂³	semidirect
299. C₃×C₄×Dic₃	C₂³	semidirect
302. C₂⁴×D₃	C₂²×C₃	semidirect
328. C₂²×C₃×D₄	C₂×D₃	semidirect
329. C₂²×C₃×D₄	C₂×D₃	semidirect
330. C₂²×C₃×D₄	C₂×D₃	semidirect
331. C₂²×C₃×D₄	C₂²×C₃	semidirect
332. C₂²×C₃×D₄	C₂²×C₃	semidirect
333. C₂²×C₃×D₄	C₂²×C₃	semidirect
335. C₂²×#67	C₂²×C₃	semidirect
336. C₂²×#67	C₂²×C₃	semidirect
337. C₂²×#67	C₂²×C₃	semidirect
338. C₂²×#67	C₂²×C₃	semidirect
340. C₂×#237	C₂²×C₃	semidirect
341. C₂×#237	C₂²×C₃	semidirect
342. C₂×#237	C₂²×C₃	semidirect
345. C₂×D₃×D₄	C₂²×C₃	semidirect
346. C₂×D₃×D₄	C₂²×C₃	semidirect
347. C₂×D₃×D₄	C₂²×C₃	semidirect
348. C₂×D₃×D₄	C₂²×C₃	semidirect
349. C₂×D₃×D₄	C₂²×C₃	semidirect
350. C₂×D₃×D₄	C₂²×C₃	semidirect
351. C₂×D₃×D₄	C₂²×C₃	semidirect
352. C₂×D₃×D₄	C₂²×C₃	semidirect
353. C₂×D₃×D₄	C₂²×C₃	semidirect
354. C₂×#235	C₂²×C₃	semidirect
355. C₂×#235	C₂²×C₃	semidirect
356. C₂²×D₁₂	C₂²×C₃	semidirect
357. C₂²×C₄×D₃	C₂²×C₃	semidirect
361. C₃×#127	C₂×D₃	semidirect
362. C₃×#127	C₂²×C₃	semidirect
395. C₃×#121	C₂×D₃	semidirect
396. C₃×#121	C₂×D₃	semidirect
397. C₃×#121	C₂×D₃	semidirect
398. C₃×#121	C₂²×C₃	semidirect
399. C₃×#121	C₂²×C₃	semidirect
400. C₃×#121	C₂²×C₃	semidirect
420. C₃×#120	C₂×D₃	semidirect
421. C₃×#120	C₂×D₃	semidirect
422. C₃×#120	C₂²×C₃	semidirect
423. C₃×#120	C₂²×C₃	semidirect
436. C₃×C₄×D₄	C₂×D₃	semidirect
437. C₃×C₄×D₄	C₂×D₃	semidirect
438. C₃×C₄×D₄	C₂²×C₃	semidirect
439. C₃×C₄×D₄	C₂²×C₃	semidirect
448. #953	C₂²×C₃	semidirect
449. #953	C₂²×C₃	semidirect
450. C₂×#217	C₂²×C₃	semidirect
451. #940	C₂²×C₃	semidirect
452. #940	C₂²×C₃	semidirect
453. #939	C₂²×C₃	semidirect
454. #939	C₂²×C₃	semidirect
455. #939	C₂²×C₃	semidirect
456. #939	C₂²×C₃	semidirect
457. #939	C₂²×C₃	semidirect
458. #938	C₂²×C₃	semidirect
459. #938	C₂²×C₃	semidirect
460. #938	C₂²×C₃	semidirect
461. #938	C₂²×C₃	semidirect
462. #937	C₂²×C₃	semidirect
463. #937	C₂²×C₃	semidirect
464. #937	C₂²×C₃	semidirect
465. #937	C₂²×C₃	semidirect
466. #937	C₂²×C₃	semidirect
467. #937	C₂²×C₃	semidirect
468. #937	C₂²×C₃	semidirect
469. #937	C₂²×C₃	semidirect
470. #937	C₂²×C₃	semidirect
471. #937	C₂²×C₃	semidirect
472. #937	C₂²×C₃	semidirect
473. #936	C₂²×C₃	semidirect
474. #935	C₂²×C₃	semidirect
475. D₄×Dic₃	C₂²×C₃	semidirect
476. D₄×Dic₃	C₂²×C₃	semidirect
477. #930	C₂²×C₃	semidirect
478. #930	C₂²×C₃	semidirect
479. C₄×#67	C₂²×C₃	semidirect
480. C₄×#67	C₂²×C₃	semidirect
481. C₄×#67	C₂²×C₃	semidirect
482. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
483. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
484. #924	C₂²×C₃	semidirect
485. #897	C₂²×C₃	semidirect
486. #896	C₂²×C₃	semidirect
487. #895	C₂²×C₃	semidirect
488. #894	C₂²×C₃	semidirect
489. #894	C₂²×C₃	semidirect
490. #893	C₂²×C₃	semidirect
491. #892	C₂²×C₃	semidirect
492. #886	C₂²×C₃	semidirect
493. #885	C₂²×C₃	semidirect
494. #884	C₂²×C₃	semidirect
495. #884	C₂²×C₃	semidirect
496. #884	C₂²×C₃	semidirect
497. #883	C₂²×C₃	semidirect
498. #883	C₂²×C₃	semidirect
499. #883	C₂²×C₃	semidirect
500. #882	C₂²×C₃	semidirect
501. #882	C₂²×C₃	semidirect
502. #882	C₂²×C₃	semidirect
503. #882	C₂²×C₃	semidirect
504. #67⋊C₄	C₂²×C₃	semidirect
505. #67⋊C₄	C₂²×C₃	semidirect
506. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
507. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
508. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
509. #878	C₂²×C₃	semidirect
510. #875	C₂²×C₃	semidirect
511. C₄×D₁₂	C₂²×C₃	semidirect
512. C₄×D₁₂	C₂²×C₃	semidirect
513. #872	C₂²×C₃	semidirect
546. C₂²×C₃×D₃	C₂×D₄	semidirect
561. C₃²×D₄	C₂×D₄	semidirect
587. C₃×#67	C₂×D₄	semidirect
604. C₃×D₁₂	C₂×D₄	semidirect
612. C₃×C₄×D₃	C₂×D₄	semidirect
628. D₄²	C₃×D₃	semidirect
651. C₂⁴×C₃	C₂²×D₃	semidirect
653. C₂⁴×C₃	C₂³×C₃	semidirect
663. C₂³×D₃	C₂³×C₃	semidirect
733. C₂×C₃×D₄	C₂²×D₃	semidirect
734. C₂×C₃×D₄	C₂²×D₃	semidirect
735. C₂×C₃×D₄	C₂²×D₃	semidirect
736. C₂×C₃×D₄	C₂²×D₃	semidirect
737. C₂×C₃×D₄	C₂²×D₃	semidirect
743. C₂×C₃×D₄	C₂³×C₃	semidirect
744. C₂×C₃×D₄	C₂³×C₃	semidirect
745. C₂×C₃×D₄	C₂³×C₃	semidirect
746. C₂×C₃×D₄	C₂³×C₃	semidirect
747. C₂×C₃×D₄	C₂³×C₃	semidirect
765. C₂²×C₃×C₄	C₂²×D₃	semidirect
766. C₂²×C₃×C₄	C₂²×D₃	semidirect
768. C₂²×C₃×C₄	C₂³×C₃	semidirect
769. C₂²×C₃×C₄	C₂³×C₃	semidirect
783. C₂×#67	C₂³×C₃	semidirect
784. C₂×#67	C₂³×C₃	semidirect
785. C₂×#67	C₂³×C₃	semidirect
786. C₂×#67	C₂³×C₃	semidirect
787. C₂×#67	C₂³×C₃	semidirect
788. C₂×#67	C₂³×C₃	semidirect
789. C₂×#67	C₂³×C₃	semidirect
790. C₂×#67	C₂³×C₃	semidirect
792. C₂²×Dic₃	C₂³×C₃	semidirect
793. C₂²×Dic₃	C₂³×C₃	semidirect
794. C₂²×Dic₃	C₂³×C₃	semidirect
807. D₃×D₄	C₃×D₄	semidirect
816. C₂×D₁₂	C₂³×C₃	semidirect
822. C₂×C₄×D₃	C₂³×C₃	semidirect
823. C₂×C₄×D₃	C₂³×C₃	semidirect
824. C₂×C₄×D₃	C₂³×C₃	semidirect
825. C₂×C₄×D₃	C₂³×C₃	semidirect
826. C₂×Dic₆	C₂³×C₃	semidirect
827. C₂×Dic₆	C₂³×C₃	semidirect
838. C₃×C₄⋊C₄	C₂²×D₃	semidirect
839. C₃×C₄⋊C₄	C₂²×D₃	semidirect
840. C₃×C₄⋊C₄	C₂³×C₃	semidirect
841. C₃×C₄⋊C₄	C₂³×C₃	semidirect
870. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
871. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
872. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
873. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
875. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
876. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
877. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
878. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
882. C₃×C₄²	C₂²×D₃	semidirect
883. C₃×C₄²	C₂³×C₃	semidirect
886. #217	C₂³×C₃	semidirect
887. #217	C₂³×C₃	semidirect
888. #217	C₂³×C₃	semidirect
889. #217	C₂³×C₃	semidirect
890. #217	C₂³×C₃	semidirect
891. #217	C₂³×C₃	semidirect
898. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
899. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
900. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
901. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
902. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
903. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
904. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
905. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
906. C₄⋊Dic₃	C₂³×C₃	semidirect
907. C₄⋊Dic₃	C₂³×C₃	semidirect
908. C₄⋊Dic₃	C₂³×C₃	semidirect
909. Dic₃⋊C₄	C₂³×C₃	semidirect
910. Dic₃⋊C₄	C₂³×C₃	semidirect
911. Dic₃⋊C₄	C₂³×C₃	semidirect
912. Dic₃⋊C₄	C₂³×C₃	semidirect
913. Dic₃⋊C₄	C₂³×C₃	semidirect
914. C₄×Dic₃	C₂³×C₃	semidirect
915. C₄×Dic₃	C₂³×C₃	semidirect
932. C₂²×C₃²	H(5,𝔽₂)	semidirect
955. C₂×C₃×D₃	H(5,𝔽₂)	semidirect
992. C₂²×D₄	C₂×C₃×D₃	semidirect
993. C₂²×D₄	C₂×C₃×D₃	semidirect
994. C₂²×D₄	C₂×C₃×D₃	semidirect
998. #127	C₂×C₃×D₃	semidirect
1028. #121	C₂×C₃×D₃	semidirect
1029. #121	C₂×C₃×D₃	semidirect
1030. #121	C₂×C₃×D₃	semidirect
1048. #120	C₂×C₃×D₃	semidirect
1049. #120	C₂×C₃×D₃	semidirect
1060. C₄×D₄	C₂×C₃×D₃	semidirect
1061. C₄×D₄	C₂×C₃×D₃	semidirect
1151. C₂²×D₃	C₂×C₃×D₄	semidirect
1210. C₃×D₄	D₃×D₄	semidirect
1211. C₃×D₄	C₂×C₃×D₄	semidirect
1274. #67	C₂×C₃×D₄	semidirect
1291. D₁₂	C₂×C₃×D₄	semidirect
1299. C₄×D₃	C₂×C₃×D₄	semidirect
1326. C₂⁴	C₂²×C₃×D₃	semidirect
1380. C₂×D₄	C₂²×C₃×D₃	semidirect
1381. C₂×D₄	C₂²×C₃×D₃	semidirect
1382. C₂×D₄	C₂²×C₃×D₃	semidirect
1383. C₂×D₄	C₂²×C₃×D₃	semidirect
1384. C₂×D₄	C₂²×C₃×D₃	semidirect
1399. C₂²×C₄	C₂²×C₃×D₃	semidirect
1400. C₂²×C₄	C₂²×C₃×D₃	semidirect
1409. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1410. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1434. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1435. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1436. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1437. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1440. C₄²	C₂²×C₃×D₃	semidirect
1512. C₂²×C₃	#1004	semidirect
1514. C₂²×C₃	C₃×H(5,𝔽₂)	semidirect
1538. C₂×D₃	C₃×H(5,𝔽₂)	semidirect
1571. C₃²	#3484	semidirect
1644. D₄	C₃×D₃×D₄	semidirect
1745. C₂²	C₃×#1004	semidirect
1761. C₃	#86620	direct (N × H)
1762. C₃	C₃×#3484	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#1004	2
C₂²×C₃×D₃×D₄	2
C₃²×D₄²	2
C₃×#5806	2
C₃×D₄×#67	2
C₂×C₃×#937	2
C₃×#5717	2
C₃×#5715	2
C₃×#5612	2
C₃×#5610	2
C₃×#5609	2
C₃×#5607	2
C₃×#5606	2
C₃×#5605	2
C₃×#5591	2
C₃×#5590	2
C₃×#5589	2
C₃×D₃×#120	2
C₃×#5554	2
C₃×#5550	2
C₃×#5547	2
C₃×#5545	2
C₃×#3484	3
#86620	3

Subgroups — C3×#86620 #11904269

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86620 #11904269