Subgroups — C₃×#37645 #10656252

Order 768.

4922 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2846	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2678	C₂	1	2	yes	maximal, complemented
7	C₃×#2670	C₂	1	2	yes	maximal, complemented
8	C₃×#2669	C₂	1	2	yes	maximal, complemented
9	C₃×#2669	C₂	1	2	yes	maximal, complemented
10	C₃×#2617	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2613	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2472	C₂	1	2	yes	maximal, complemented
13	C₃×#2433	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2433	C₂	1	2	yes	maximal, complemented
15	C₃×#2424	C₂	1	2	yes	maximal, complemented
16	C₃×#2411	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2410	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2410	C₂	1	2	yes	maximal, complemented
19	C₃×#2408	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2404	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2403	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
24	#37645	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂⁶×C₃	C₂²	1	1	yes	characteristic
26	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
28	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
29	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic, complemented
30	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic, complemented
31	C₂³×C₃×D₄	C₂²	1	2	yes	complemented
32	C₃×#546	—	2	8	no	—
33	C₃×#535	—	2	8	no	—
34	C₂×C₃×#127	C₂²	1	2	yes	complemented
35	C₂×C₃×#127	C₂²	1	2	yes	complemented
36	C₂×C₃×#124	C₂²	1	2	yes	complemented
37	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#121	C₂²	1	2	yes	complemented
42	C₂×C₃×#121	C₂²	1	2	yes	complemented
43	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×#121	C₂²	1	2	yes	complemented
46	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×#121	C₂²	1	2	yes	complemented
48	C₂×C₃×#120	—	2	8	no	—
49	C₂×C₃×#120	—	2	8	no	—
50	C₂×C₃×#120	C₂²	1	1	yes	characteristic
51	C₂×C₃×#120	C₂²	1	1	yes	characteristic
52	C₂×C₃×#120	C₂²	1	2	yes	—
53	C₂×C₃×#120	C₂²	1	1	yes	characteristic
54	C₂×C₃×#120	C₂²	1	2	yes	—
55	C₂×C₃×#120	C₂²	1	1	yes	characteristic
56	C₂×C₃×#120	C₂²	1	1	yes	characteristic
57	C₂×C₃×#120	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₃×#120	C₂²	1	2	yes	complemented
59	C₂×C₃×#120	C₂²	1	2	yes	complemented
60	C₂×C₃×#120	C₂²	1	2	yes	complemented
61	C₂×C₃×#120	C₂²	1	2	yes	complemented
62	C₂×C₃×#120	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₃×#120	C₂²	1	2	yes	complemented
64	C₂×C₃×#120	C₂²	1	2	yes	complemented
65	C₂×C₃×#120	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₃×#120	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₃×#120	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₃×#120	C₂²	1	2	yes	complemented
69	C₂×C₃×#120	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
73	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
74	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
75	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
76	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
77	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
78	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
79	C₃×#397	C₂²	1	2	yes	complemented
80	C₃×#396	C₂²	1	2	yes	complemented
81	C₃×#394	C₂²	1	2	yes	complemented
82	C₃×#394	C₂²	1	2	yes	complemented
83	C₃×#394	C₂²	1	2	yes	complemented
84	C₃×#394	C₂²	1	2	yes	complemented
85	C₃×#394	C₂²	1	2	yes	complemented
86	C₃×#394	C₂²	1	2	yes	complemented
87	C₃×#394	C₂²	1	2	yes	complemented
88	C₃×#393	C₂²	1	2	yes	complemented
89	C₃×#392	C₂²	1	2	yes	complemented
90	C₃×#392	C₂²	1	2	yes	complemented
91	C₃×#392	C₂²	1	2	yes	complemented
92	C₃×#392	C₂²	1	2	yes	complemented
93	C₃×#392	C₂²	1	2	yes	complemented
94	C₃×#392	C₂²	1	2	yes	complemented
95	C₃×#392	C₂²	1	2	yes	complemented
96	C₃×#392	C₂²	1	2	yes	complemented
97	C₃×#392	C₂²	1	2	yes	complemented
98	C₃×#392	C₂²	1	2	yes	complemented
99	C₃×#390	C₂²	1	2	yes	complemented
100	C₃×#390	C₂²	1	2	yes	complemented
101	C₃×#390	C₂²	1	2	yes	complemented
102	C₃×#390	C₂²	1	2	yes	complemented
103	C₃×#388	C₂²	1	2	yes	complemented
104	C₃×#388	C₂²	1	2	yes	complemented
105	C₃×#388	C₂²	1	2	yes	complemented
106	C₃×#388	C₂²	1	2	yes	complemented
107	C₃×#388	C₂²	1	2	yes	complemented
108	C₃×#386	C₂²	1	2	yes	complemented
109	C₃×#386	C₂²	1	2	yes	complemented
110	C₃×#386	C₂²	1	2	yes	complemented
111	C₃×#386	C₂²	1	1	yes	characteristic, complemented
112	C₃×#386	C₂²	1	1	yes	characteristic, complemented
113	C₃×#386	C₂²	1	1	yes	characteristic, complemented
114	C₃×#386	C₂²	1	2	yes	complemented
115	C₃×#386	C₂²	1	2	yes	complemented
116	C₃×#385	C₂²	1	1	yes	characteristic, complemented
117	C₃×#385	C₂²	1	2	yes	complemented
118	C₃×#381	C₂²	1	1	yes	characteristic, complemented
119	C₃×#380	C₂²	1	1	yes	characteristic, complemented
120	C₃×#379	C₂²	1	1	yes	characteristic
121	C₃×#379	C₂²	1	1	yes	characteristic, complemented
122	C₃×#379	C₂²	1	2	yes	complemented
123	C₃×#379	C₂²	1	2	yes	complemented
124	C₃×#379	C₂²	1	1	yes	characteristic, complemented
125	C₃×#379	C₂²	1	1	yes	characteristic, complemented
126	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
127	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
128	C₂×#546	C₂×C₃	1	1	yes	characteristic, complemented
129	C₂×#535	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂²×#120	C₂×C₃	1	1	yes	characteristic, complemented
131	C₂²×#120	C₂×C₃	1	1	yes	characteristic, complemented
132	#2846	C₂×C₃	1	1	yes	characteristic, complemented
133	#2678	C₂×C₃	1	2	yes	complemented
134	#2670	C₂×C₃	1	2	yes	complemented
135	#2669	C₂×C₃	1	2	yes	complemented
136	#2669	C₂×C₃	1	2	yes	complemented
137	#2617	C₂×C₃	1	1	yes	characteristic, complemented
138	#2613	C₂×C₃	1	1	yes	characteristic, complemented
139	#2472	C₂×C₃	1	2	yes	complemented
140	#2433	C₂×C₃	1	1	yes	characteristic, complemented
141	#2433	C₂×C₃	1	2	yes	complemented
142	#2424	C₂×C₃	1	2	yes	complemented
143	#2411	C₂×C₃	1	1	yes	characteristic, complemented
144	#2410	C₂×C₃	1	1	yes	characteristic, complemented
145	#2410	C₂×C₃	1	2	yes	complemented
146	#2408	C₂×C₃	1	1	yes	characteristic, complemented
147	#2404	C₂×C₃	1	1	yes	characteristic, complemented
148	#2403	C₂×C₃	1	1	yes	characteristic, complemented
149	#2342	C₂×C₃	1	1	yes	characteristic, complemented
150	#2321	C₂×C₃	1	1	yes	characteristic, complemented
151	C₂⁵×C₃	—	2	4	no	—
152	C₂⁵×C₃	—	2	4	no	—
153	C₂⁵×C₃	—	4	2	no	—
154	C₂⁵×C₃	—	4	4	no	—
155	C₂⁵×C₃	—	4	4	no	—
156	C₂⁵×C₃	C₂³	1	2	yes	—
157	C₂⁵×C₃	C₂³	1	1	yes	characteristic
158	C₂⁵×C₃	C₂³	1	1	yes	characteristic
159	C₂⁵×C₃	C₂³	1	1	yes	characteristic
160	C₂⁵×C₃	C₂³	1	1	yes	characteristic
161	C₂⁵×C₃	C₂³	1	2	yes	—
162	C₂⁵×C₃	C₂³	1	1	yes	characteristic
163	C₂×C₃×#41	—	2	4	no	—
164	C₂×C₃×#41	—	2	4	no	—
165	C₂×C₃×#41	—	4	2	no	—
166	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic, complemented
167	C₂²×C₃×D₄	—	2	4	no	—
168	C₂²×C₃×D₄	—	2	4	no	—
169	C₂²×C₃×D₄	—	2	4	no	—
170	C₂²×C₃×D₄	—	2	4	no	—
171	C₂²×C₃×D₄	—	2	8	no	—
172	C₂²×C₃×D₄	—	2	4	no	—
173	C₂²×C₃×D₄	—	2	4	no	—
174	C₂²×C₃×D₄	—	4	2	no	—
175	C₂²×C₃×D₄	—	4	4	no	—
176	C₂²×C₃×D₄	—	4	2	no	—
177	C₂²×C₃×D₄	—	4	4	no	—
178	C₂²×C₃×D₄	—	4	4	no	—
179	C₂²×C₃×D₄	—	4	4	no	—
180	C₂²×C₃×D₄	C₂³	1	2	yes	—
181	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
182	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
183	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
184	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
185	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
186	C₂²×C₃×D₄	C₂³	1	2	yes	—
187	C₂²×C₃×D₄	C₂³	1	2	yes	—
188	C₂²×C₃×D₄	C₂³	1	2	yes	—
189	C₂²×C₃×D₄	C₂³	1	2	yes	—
190	C₂²×C₃×D₄	C₂³	1	2	yes	—
191	C₂²×C₃×D₄	C₂³	1	2	yes	—
192	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₃×D₄	C₂³	1	2	yes	—
194	C₂²×C₃×D₄	C₂³	1	2	yes	—
195	C₂²×C₃×D₄	C₂³	1	2	yes	—
196	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
197	C₂²×C₃×D₄	C₂³	1	2	yes	—
198	C₂²×C₃×D₄	C₂³	1	2	yes	—
199	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
200	C₂²×C₃×D₄	C₂³	1	2	yes	complemented
201	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
202	C₂²×C₃×D₄	C₂³	1	2	yes	complemented
203	C₂²×C₃×D₄	C₂³	1	2	yes	complemented
204	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
205	C₂³×C₃×C₄	C₂³	1	2	yes	—
206	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
207	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
208	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
209	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
210	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
211	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
212	C₃×#127	—	2	8	no	—
213	C₃×#127	—	4	4	no	—
214	C₃×#124	—	2	8	no	—
215	C₃×#124	—	2	4	no	—
216	C₃×#123	—	2	4	no	—
217	C₃×#123	—	2	4	no	—
218	C₃×C₂²⋊Q₈	—	2	4	no	—
219	C₃×#121	—	2	8	no	—
220	C₃×#121	—	2	4	no	—
221	C₃×#121	—	2	8	no	—
222	C₃×#121	—	2	4	no	—
223	C₃×#121	—	2	4	no	—
224	C₃×#121	—	4	4	no	—
225	C₃×#121	—	4	4	no	—
226	C₃×#120	—	2	4	no	—
227	C₃×#120	—	2	4	no	—
228	C₃×#120	—	2	4	no	—
229	C₃×#120	—	2	4	no	—
230	C₃×#120	—	2	4	no	—
231	C₃×#120	—	2	8	no	—
232	C₃×#120	—	2	8	no	—
233	C₃×#120	—	2	4	no	—
234	C₃×#120	—	2	8	no	—
235	C₃×#120	—	2	4	no	—
236	C₃×#120	—	2	4	no	—
237	C₃×#120	—	2	8	no	—
238	C₃×#120	—	2	8	no	—
239	C₃×#120	—	2	8	no	—
240	C₃×#120	—	4	4	no	—
241	C₃×#120	—	4	2	no	—
242	C₃×#120	—	4	4	no	—
243	C₃×#120	—	4	2	no	—
244	C₃×#120	—	4	4	no	—
245	C₃×#120	D₄	1	8	yes	complemented
246	C₃×C₄×D₄	—	2	4	no	—
247	C₃×C₄×D₄	—	2	4	no	—
248	C₃×#117	—	2	4	no	—
249	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
250	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
251	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
252	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
253	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
254	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
255	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
256	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
257	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
258	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
259	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
260	C₂×C₃×C₂²⋊C₄	—	2	8	no	—
261	C₂×C₃×C₂²⋊C₄	D₄	1	8	yes	complemented
262	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
264	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
268	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
270	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
272	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
273	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
274	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
275	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
276	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
277	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
278	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
279	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
291	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
292	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
293	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
294	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
295	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
296	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
297	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
298	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
299	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
300	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
301	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
302	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
303	C₂×C₃×C₄²	C₂³	1	2	yes	complemented
304	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic, complemented
305	C₂×C₃×C₄²	C₂³	1	2	yes	complemented
306	C₃×#95	C₂³	1	2	yes	complemented
307	C₃×#95	C₂³	1	2	yes	complemented
308	C₃×#95	C₂³	1	2	yes	complemented
309	C₃×#95	C₂³	1	2	yes	complemented
310	C₃×#95	C₂³	1	2	yes	complemented
311	C₃×#95	C₂³	1	2	yes	complemented
312	C₃×#95	C₂³	1	2	yes	complemented
313	C₃×#95	C₂³	1	2	yes	complemented
314	C₂⁶	C₂²×C₃	1	1	yes	characteristic
315	C₂²×#41	C₂²×C₃	1	1	yes	characteristic, complemented
316	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
317	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
318	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
319	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
320	C₂³×D₄	C₂²×C₃	1	2	yes	complemented
321	#546	—	2	8	no	—
322	#535	—	2	8	no	—
323	C₂×#127	C₂²×C₃	1	2	yes	complemented
324	C₂×#127	C₂²×C₃	1	2	yes	complemented
325	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
326	C₂×#124	C₂²×C₃	1	2	yes	complemented
327	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
328	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
329	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
330	C₂×#121	C₂²×C₃	1	2	yes	complemented
331	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
332	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
333	C₂×#121	C₂²×C₃	1	2	yes	complemented
334	C₂×#121	C₂²×C₃	1	2	yes	complemented
335	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
336	C₂×#121	C₂²×C₃	1	2	yes	complemented
337	C₂×#120	—	2	8	no	—
338	C₂×#120	—	2	8	no	—
339	C₂×#120	C₂²×C₃	1	1	yes	characteristic
340	C₂×#120	C₂²×C₃	1	1	yes	characteristic
341	C₂×#120	C₂²×C₃	1	1	yes	characteristic
342	C₂×#120	C₂²×C₃	1	2	yes	—
343	C₂×#120	C₂²×C₃	1	1	yes	characteristic
344	C₂×#120	C₂²×C₃	1	2	yes	—
345	C₂×#120	C₂²×C₃	1	1	yes	characteristic
346	C₂×#120	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₂×#120	C₂²×C₃	1	2	yes	complemented
348	C₂×#120	C₂²×C₃	1	2	yes	complemented
349	C₂×#120	C₂²×C₃	1	2	yes	complemented
350	C₂×#120	C₂²×C₃	1	2	yes	complemented
351	C₂×#120	C₂²×C₃	1	1	yes	characteristic, complemented
352	C₂×#120	C₂²×C₃	1	2	yes	complemented
353	C₂×#120	C₂²×C₃	1	2	yes	complemented
354	C₂×#120	C₂²×C₃	1	1	yes	characteristic, complemented
355	C₂×#120	C₂²×C₃	1	1	yes	characteristic, complemented
356	C₂×#120	C₂²×C₃	1	1	yes	characteristic, complemented
357	C₂×#120	C₂²×C₃	1	1	yes	characteristic, complemented
358	C₂×#120	C₂²×C₃	1	2	yes	complemented
359	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
360	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
361	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
362	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
363	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
364	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
365	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
366	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
367	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
368	#397	C₂²×C₃	1	2	yes	complemented
369	#396	C₂²×C₃	1	2	yes	complemented
370	#394	C₂²×C₃	1	2	yes	complemented
371	#394	C₂²×C₃	1	2	yes	complemented
372	#394	C₂²×C₃	1	2	yes	complemented
373	#394	C₂²×C₃	1	2	yes	complemented
374	#394	C₂²×C₃	1	2	yes	complemented
375	#394	C₂²×C₃	1	2	yes	complemented
376	#394	C₂²×C₃	1	2	yes	complemented
377	#393	C₂²×C₃	1	2	yes	complemented
378	#392	C₂²×C₃	1	2	yes	complemented
379	#392	C₂²×C₃	1	2	yes	complemented
380	#392	C₂²×C₃	1	2	yes	complemented
381	#392	C₂²×C₃	1	2	yes	complemented
382	#392	C₂²×C₃	1	2	yes	complemented
383	#392	C₂²×C₃	1	2	yes	complemented
384	#392	C₂²×C₃	1	2	yes	complemented
385	#392	C₂²×C₃	1	2	yes	complemented
386	#392	C₂²×C₃	1	2	yes	complemented
387	#392	C₂²×C₃	1	2	yes	complemented
388	#390	C₂²×C₃	1	2	yes	complemented
389	#390	C₂²×C₃	1	2	yes	complemented
390	#390	C₂²×C₃	1	2	yes	complemented
391	#390	C₂²×C₃	1	2	yes	complemented
392	#388	C₂²×C₃	1	2	yes	complemented
393	#388	C₂²×C₃	1	2	yes	complemented
394	#388	C₂²×C₃	1	2	yes	complemented
395	#388	C₂²×C₃	1	2	yes	complemented
396	#388	C₂²×C₃	1	2	yes	complemented
397	#386	C₂²×C₃	1	2	yes	complemented
398	#386	C₂²×C₃	1	2	yes	complemented
399	#386	C₂²×C₃	1	2	yes	complemented
400	#386	C₂²×C₃	1	1	yes	characteristic, complemented
401	#386	C₂²×C₃	1	1	yes	characteristic, complemented
402	#386	C₂²×C₃	1	1	yes	characteristic, complemented
403	#386	C₂²×C₃	1	2	yes	complemented
404	#386	C₂²×C₃	1	2	yes	complemented
405	#385	C₂²×C₃	1	1	yes	characteristic, complemented
406	#385	C₂²×C₃	1	2	yes	complemented
407	#381	C₂²×C₃	1	1	yes	characteristic, complemented
408	#380	C₂²×C₃	1	1	yes	characteristic, complemented
409	#379	C₂²×C₃	1	1	yes	characteristic
410	#379	C₂²×C₃	1	1	yes	characteristic, complemented
411	#379	C₂²×C₃	1	1	yes	characteristic, complemented
412	#379	C₂²×C₃	1	2	yes	complemented
413	#379	C₂²×C₃	1	2	yes	complemented
414	#379	C₂²×C₃	1	1	yes	characteristic, complemented
415	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
416	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
417	C₂⁴×C₃	—	2	4	no	—
418	C₂⁴×C₃	—	2	2	no	—
419	C₂⁴×C₃	—	2	2	no	—
420	C₂⁴×C₃	—	2	2	no	—
421	C₂⁴×C₃	—	2	4	no	—
422	C₂⁴×C₃	—	2	4	no	—
423	C₂⁴×C₃	—	2	4	no	—
424	C₂⁴×C₃	—	2	2	no	—
425	C₂⁴×C₃	—	2	4	no	—
426	C₂⁴×C₃	—	2	2	no	—
427	C₂⁴×C₃	—	2	4	no	—
428	C₂⁴×C₃	—	2	4	no	—
429	C₂⁴×C₃	—	2	4	no	—
430	C₂⁴×C₃	—	2	2	no	—
431	C₂⁴×C₃	—	2	2	no	—
432	C₂⁴×C₃	—	2	2	no	—
433	C₂⁴×C₃	—	2	4	no	—
434	C₂⁴×C₃	—	2	4	no	—
435	C₂⁴×C₃	—	2	2	no	—
436	C₂⁴×C₃	—	2	2	no	—
437	C₂⁴×C₃	—	2	4	no	—
438	C₂⁴×C₃	—	2	2	no	—
439	C₂⁴×C₃	—	2	2	no	—
440	C₂⁴×C₃	—	4	2	no	—
441	C₂⁴×C₃	—	4	2	no	—
442	C₂⁴×C₃	—	4	2	no	—
443	C₂⁴×C₃	—	4	2	no	—
444	C₂⁴×C₃	—	4	2	no	—
445	C₂⁴×C₃	—	4	2	no	—
446	C₂⁴×C₃	—	4	2	no	—
447	C₂⁴×C₃	—	4	2	no	—
448	C₂⁴×C₃	—	4	2	no	—
449	C₂⁴×C₃	—	4	2	no	—
450	C₂⁴×C₃	—	4	1	no	—
451	C₂⁴×C₃	—	4	2	no	—
452	C₂⁴×C₃	—	4	2	no	—
453	C₂⁴×C₃	—	4	2	no	—
454	C₂⁴×C₃	—	4	16	no	—
455	C₂⁴×C₃	—	4	16	no	—
456	C₂⁴×C₃	—	4	32	no	—
457	C₂⁴×C₃	—	4	16	no	—
458	C₂⁴×C₃	—	4	32	no	—
459	C₂⁴×C₃	C₂×D₄	1	4	yes	—
460	C₂⁴×C₃	C₂×D₄	1	4	yes	—
461	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
462	C₂⁴×C₃	C₂⁴	1	2	yes	—
463	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
464	C₂⁴×C₃	C₂⁴	1	2	yes	—
465	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
466	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
467	C₂⁴×C₃	C₂⁴	1	2	yes	—
468	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
469	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
470	C₃×#41	—	4	16	no	—
471	C₂×C₃×Q₈	—	2	2	no	—
472	C₂×C₃×Q₈	—	2	2	no	—
473	C₂×C₃×Q₈	—	4	1	no	—
474	C₂×C₃×D₄	—	2	2	no	—
475	C₂×C₃×D₄	—	2	2	no	—
476	C₂×C₃×D₄	—	2	2	no	—
477	C₂×C₃×D₄	—	2	4	no	—
478	C₂×C₃×D₄	—	2	2	no	—
479	C₂×C₃×D₄	—	2	4	no	—
480	C₂×C₃×D₄	—	2	4	no	—
481	C₂×C₃×D₄	—	2	4	no	—
482	C₂×C₃×D₄	—	2	2	no	—
483	C₂×C₃×D₄	—	2	2	no	—
484	C₂×C₃×D₄	—	2	2	no	—
485	C₂×C₃×D₄	—	2	4	no	—
486	C₂×C₃×D₄	—	2	2	no	—
487	C₂×C₃×D₄	—	2	2	no	—
488	C₂×C₃×D₄	—	2	2	no	—
489	C₂×C₃×D₄	—	2	4	no	—
490	C₂×C₃×D₄	—	2	2	no	—
491	C₂×C₃×D₄	—	2	4	no	—
492	C₂×C₃×D₄	—	2	4	no	—
493	C₂×C₃×D₄	—	2	2	no	—
494	C₂×C₃×D₄	—	2	2	no	—
495	C₂×C₃×D₄	—	2	4	no	—
496	C₂×C₃×D₄	—	2	4	no	—
497	C₂×C₃×D₄	—	2	4	no	—
498	C₂×C₃×D₄	—	2	4	no	—
499	C₂×C₃×D₄	—	2	4	no	—
500	C₂×C₃×D₄	—	2	2	no	—
501	C₂×C₃×D₄	—	2	4	no	—
502	C₂×C₃×D₄	—	2	4	no	—
503	C₂×C₃×D₄	—	2	4	no	—
504	C₂×C₃×D₄	—	2	4	no	—
505	C₂×C₃×D₄	—	2	4	no	—
506	C₂×C₃×D₄	—	2	2	no	—
507	C₂×C₃×D₄	—	2	4	no	—
508	C₂×C₃×D₄	—	2	4	no	—
509	C₂×C₃×D₄	—	2	4	no	—
510	C₂×C₃×D₄	—	2	2	no	—
511	C₂×C₃×D₄	—	2	2	no	—
512	C₂×C₃×D₄	—	2	4	no	—
513	C₂×C₃×D₄	—	4	2	no	—
514	C₂×C₃×D₄	—	4	2	no	—
515	C₂×C₃×D₄	—	4	2	no	—
516	C₂×C₃×D₄	—	4	2	no	—
517	C₂×C₃×D₄	—	4	2	no	—
518	C₂×C₃×D₄	—	4	2	no	—
519	C₂×C₃×D₄	—	4	2	no	—
520	C₂×C₃×D₄	—	4	1	no	—
521	C₂×C₃×D₄	—	4	2	no	—
522	C₂×C₃×D₄	—	4	2	no	—
523	C₂×C₃×D₄	—	4	1	no	—
524	C₂×C₃×D₄	—	4	2	no	—
525	C₂×C₃×D₄	—	4	2	no	—
526	C₂×C₃×D₄	—	4	2	no	—
527	C₂×C₃×D₄	—	4	1	no	—
528	C₂×C₃×D₄	—	4	16	no	—
529	C₂×C₃×D₄	—	4	2	no	—
530	C₂×C₃×D₄	—	4	2	no	—
531	C₂×C₃×D₄	—	4	2	no	—
532	C₂×C₃×D₄	—	4	2	no	—
533	C₂×C₃×D₄	—	4	2	no	—
534	C₂×C₃×D₄	—	4	2	no	—
535	C₂×C₃×D₄	—	4	2	no	—
536	C₂×C₃×D₄	—	4	2	no	—
537	C₂×C₃×D₄	—	4	2	no	—
538	C₂×C₃×D₄	—	4	2	no	—
539	C₂×C₃×D₄	—	4	2	no	—
540	C₂×C₃×D₄	—	4	2	no	—
541	C₂×C₃×D₄	—	4	2	no	—
542	C₂×C₃×D₄	—	4	16	no	—
543	C₂×C₃×D₄	—	4	16	no	—
544	C₂×C₃×D₄	—	4	32	no	—
545	C₂×C₃×D₄	—	4	16	no	—
546	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
547	C₂×C₃×D₄	C₂×D₄	1	8	yes	complemented
548	C₂²×C₃×C₄	—	2	2	no	—
549	C₂²×C₃×C₄	—	2	2	no	—
550	C₂²×C₃×C₄	—	2	2	no	—
551	C₂²×C₃×C₄	—	2	2	no	—
552	C₂²×C₃×C₄	—	2	2	no	—
553	C₂²×C₃×C₄	—	2	4	no	—
554	C₂²×C₃×C₄	—	2	4	no	—
555	C₂²×C₃×C₄	—	2	2	no	—
556	C₂²×C₃×C₄	—	2	2	no	—
557	C₂²×C₃×C₄	—	2	2	no	—
558	C₂²×C₃×C₄	—	2	2	no	—
559	C₂²×C₃×C₄	—	2	2	no	—
560	C₂²×C₃×C₄	—	4	2	no	—
561	C₂²×C₃×C₄	—	4	2	no	—
562	C₂²×C₃×C₄	—	4	1	no	—
563	C₂²×C₃×C₄	—	4	2	no	—
564	C₂²×C₃×C₄	—	4	1	no	—
565	C₂²×C₃×C₄	—	4	1	no	—
566	C₂²×C₃×C₄	—	4	2	no	—
567	C₂²×C₃×C₄	C₂×D₄	1	4	yes	complemented
568	C₂²×C₃×C₄	C₂×D₄	1	4	yes	complemented
569	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
570	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
571	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
572	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
573	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
577	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
578	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
579	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
580	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
582	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
583	C₃×C₄⋊C₄	—	2	4	no	—
584	C₃×C₄⋊C₄	—	2	2	no	—
585	C₃×C₄⋊C₄	—	2	2	no	—
586	C₃×C₄⋊C₄	—	2	2	no	—
587	C₃×C₄⋊C₄	—	2	2	no	—
588	C₃×C₄⋊C₄	—	4	2	no	—
589	C₃×C₄⋊C₄	—	4	2	no	—
590	C₃×C₂²⋊C₄	—	2	4	no	—
591	C₃×C₂²⋊C₄	—	2	2	no	—
592	C₃×C₂²⋊C₄	—	2	2	no	—
593	C₃×C₂²⋊C₄	—	2	2	no	—
594	C₃×C₂²⋊C₄	—	2	2	no	—
595	C₃×C₂²⋊C₄	—	2	4	no	—
596	C₃×C₂²⋊C₄	—	2	2	no	—
597	C₃×C₂²⋊C₄	—	2	4	no	—
598	C₃×C₂²⋊C₄	—	2	2	no	—
599	C₃×C₂²⋊C₄	—	2	4	no	—
600	C₃×C₂²⋊C₄	—	2	4	no	—
601	C₃×C₂²⋊C₄	—	2	4	no	—
602	C₃×C₂²⋊C₄	—	2	4	no	—
603	C₃×C₂²⋊C₄	—	2	4	no	—
604	C₃×C₂²⋊C₄	—	2	4	no	—
605	C₃×C₂²⋊C₄	—	2	4	no	—
606	C₃×C₂²⋊C₄	—	2	4	no	—
607	C₃×C₂²⋊C₄	—	2	2	no	—
608	C₃×C₂²⋊C₄	—	2	2	no	—
609	C₃×C₂²⋊C₄	—	2	2	no	—
610	C₃×C₂²⋊C₄	—	2	2	no	—
611	C₃×C₂²⋊C₄	—	2	4	no	—
612	C₃×C₂²⋊C₄	—	2	4	no	—
613	C₃×C₂²⋊C₄	—	2	2	no	—
614	C₃×C₂²⋊C₄	—	4	2	no	—
615	C₃×C₂²⋊C₄	—	4	2	no	—
616	C₃×C₂²⋊C₄	—	4	2	no	—
617	C₃×C₂²⋊C₄	—	4	2	no	—
618	C₃×C₂²⋊C₄	—	4	2	no	—
619	C₃×C₂²⋊C₄	—	4	2	no	—
620	C₃×C₂²⋊C₄	—	4	2	no	—
621	C₃×C₂²⋊C₄	—	4	2	no	—
622	C₃×C₂²⋊C₄	—	4	2	no	—
623	C₃×C₂²⋊C₄	—	4	2	no	—
624	C₃×C₂²⋊C₄	—	4	2	no	—
625	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
626	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
627	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
628	C₃×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
629	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
630	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
631	C₃×C₄²	—	2	4	no	—
632	C₃×C₄²	—	2	2	no	—
633	C₃×C₄²	—	4	2	no	—
634	C₂⁵	—	2	4	no	—
635	C₂⁵	—	2	4	no	—
636	C₂⁵	—	4	2	no	—
637	C₂⁵	—	4	4	no	—
638	C₂⁵	—	4	4	no	—
639	C₂⁵	C₂³×C₃	1	2	yes	—
640	C₂⁵	C₂³×C₃	1	1	yes	characteristic
641	C₂⁵	C₂³×C₃	1	1	yes	characteristic
642	C₂⁵	C₂³×C₃	1	1	yes	characteristic
643	C₂⁵	C₂³×C₃	1	2	yes	—
644	C₂⁵	C₂³×C₃	1	1	yes	characteristic
645	C₂⁵	C₂³×C₃	1	1	yes	characteristic
646	C₂×#41	—	2	4	no	—
647	C₂×#41	—	2	4	no	—
648	C₂×#41	—	4	2	no	—
649	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
650	C₂²×D₄	—	2	4	no	—
651	C₂²×D₄	—	2	4	no	—
652	C₂²×D₄	—	2	4	no	—
653	C₂²×D₄	—	2	4	no	—
654	C₂²×D₄	—	2	8	no	—
655	C₂²×D₄	—	2	4	no	—
656	C₂²×D₄	—	2	4	no	—
657	C₂²×D₄	—	4	2	no	—
658	C₂²×D₄	—	4	4	no	—
659	C₂²×D₄	—	4	2	no	—
660	C₂²×D₄	—	4	4	no	—
661	C₂²×D₄	—	4	4	no	—
662	C₂²×D₄	—	4	4	no	—
663	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
664	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
665	C₂²×D₄	C₂³×C₃	1	2	yes	—
666	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
667	C₂²×D₄	C₂³×C₃	1	2	yes	—
668	C₂²×D₄	C₂³×C₃	1	2	yes	—
669	C₂²×D₄	C₂³×C₃	1	2	yes	—
670	C₂²×D₄	C₂³×C₃	1	2	yes	—
671	C₂²×D₄	C₂³×C₃	1	2	yes	—
672	C₂²×D₄	C₂³×C₃	1	2	yes	—
673	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
674	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
675	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
676	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
677	C₂²×D₄	C₂³×C₃	1	2	yes	—
678	C₂²×D₄	C₂³×C₃	1	2	yes	—
679	C₂²×D₄	C₂³×C₃	1	2	yes	—
680	C₂²×D₄	C₂³×C₃	1	2	yes	—
681	C₂²×D₄	C₂³×C₃	1	2	yes	—
682	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
683	C₂²×D₄	C₂³×C₃	1	2	yes	complemented
684	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
685	C₂²×D₄	C₂³×C₃	1	2	yes	complemented
686	C₂²×D₄	C₂³×C₃	1	2	yes	complemented
687	C₂³×C₄	C₂³×C₃	1	2	yes	—
688	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
689	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
690	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
691	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
692	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
693	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
694	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
695	#127	—	2	8	no	—
696	#127	—	4	4	no	—
697	#124	—	2	8	no	—
698	#124	—	2	4	no	—
699	#123	—	2	4	no	—
700	#123	—	2	4	no	—
701	C₂²⋊Q₈	—	2	4	no	—
702	#121	—	2	8	no	—
703	#121	—	2	4	no	—
704	#121	—	2	8	no	—
705	#121	—	2	4	no	—
706	#121	—	2	4	no	—
707	#121	—	4	4	no	—
708	#121	—	4	4	no	—
709	#120	—	2	4	no	—
710	#120	—	2	4	no	—
711	#120	—	2	4	no	—
712	#120	—	2	4	no	—
713	#120	—	2	4	no	—
714	#120	—	2	8	no	—
715	#120	—	2	8	no	—
716	#120	—	2	4	no	—
717	#120	—	2	8	no	—
718	#120	—	2	4	no	—
719	#120	—	2	4	no	—
720	#120	—	2	8	no	—
721	#120	—	2	8	no	—
722	#120	—	2	8	no	—
723	#120	—	4	4	no	—
724	#120	—	4	2	no	—
725	#120	—	4	4	no	—
726	#120	—	4	2	no	—
727	#120	—	4	4	no	—
728	#120	C₃×D₄	1	8	yes	complemented
729	C₄×D₄	—	2	4	no	—
730	C₄×D₄	—	2	4	no	—
731	#117	—	2	4	no	—
732	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
733	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
734	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
735	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
736	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
737	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
738	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
739	C₂×C₂²⋊C₄	—	2	4	no	—
740	C₂×C₂²⋊C₄	—	2	4	no	—
741	C₂×C₂²⋊C₄	—	2	4	no	—
742	C₂×C₂²⋊C₄	—	2	4	no	—
743	C₂×C₂²⋊C₄	—	2	8	no	—
744	C₂×C₂²⋊C₄	C₃×D₄	1	8	yes	complemented
745	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
746	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
774	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
775	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
776	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
777	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
778	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
779	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
780	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
781	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
782	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
783	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
784	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
785	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
786	C₂×C₄²	C₂³×C₃	1	2	yes	complemented
787	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
788	C₂×C₄²	C₂³×C₃	1	2	yes	complemented
789	#95	C₂³×C₃	1	2	yes	complemented
790	#95	C₂³×C₃	1	2	yes	complemented
791	#95	C₂³×C₃	1	2	yes	complemented
792	#95	C₂³×C₃	1	2	yes	complemented
793	#95	C₂³×C₃	1	2	yes	complemented
794	#95	C₂³×C₃	1	2	yes	complemented
795	#95	C₂³×C₃	1	2	yes	complemented
796	#95	C₂³×C₃	1	2	yes	complemented
797	C₂³×C₃	—	2	1	no	—
798	C₂³×C₃	—	2	2	no	—
799	C₂³×C₃	—	2	1	no	—
800	C₂³×C₃	—	2	2	no	—
801	C₂³×C₃	—	2	2	no	—
802	C₂³×C₃	—	2	8	no	—
803	C₂³×C₃	—	2	16	no	—
804	C₂³×C₃	—	2	8	no	—
805	C₂³×C₃	—	2	8	no	—
806	C₂³×C₃	—	2	8	no	—
807	C₂³×C₃	—	2	2	no	—
808	C₂³×C₃	—	2	1	no	—
809	C₂³×C₃	—	2	2	no	—
810	C₂³×C₃	—	2	2	no	—
811	C₂³×C₃	—	2	1	no	—
812	C₂³×C₃	—	2	2	no	—
813	C₂³×C₃	—	2	2	no	—
814	C₂³×C₃	—	2	2	no	—
815	C₂³×C₃	—	2	2	no	—
816	C₂³×C₃	—	2	2	no	—
817	C₂³×C₃	—	2	2	no	—
818	C₂³×C₃	—	2	1	no	—
819	C₂³×C₃	—	2	2	no	—
820	C₂³×C₃	—	2	2	no	—
821	C₂³×C₃	—	2	2	no	—
822	C₂³×C₃	—	2	1	no	—
823	C₂³×C₃	—	2	2	no	—
824	C₂³×C₃	—	2	2	no	—
825	C₂³×C₃	—	2	2	no	—
826	C₂³×C₃	—	2	2	no	—
827	C₂³×C₃	—	2	1	no	—
828	C₂³×C₃	—	2	2	no	—
829	C₂³×C₃	—	2	1	no	—
830	C₂³×C₃	—	2	1	no	—
831	C₂³×C₃	—	2	2	no	—
832	C₂³×C₃	—	2	1	no	—
833	C₂³×C₃	—	2	2	no	—
834	C₂³×C₃	—	2	2	no	—
835	C₂³×C₃	—	2	2	no	—
836	C₂³×C₃	—	2	2	no	—
837	C₂³×C₃	—	2	2	no	—
838	C₂³×C₃	—	2	1	no	—
839	C₂³×C₃	—	2	2	no	—
840	C₂³×C₃	—	2	2	no	—
841	C₂³×C₃	—	2	1	no	—
842	C₂³×C₃	—	2	2	no	—
843	C₂³×C₃	—	2	2	no	—
844	C₂³×C₃	—	4	4	no	—
845	C₂³×C₃	—	4	8	no	—
846	C₂³×C₃	—	4	8	no	—
847	C₂³×C₃	—	4	8	no	—
848	C₂³×C₃	—	4	8	no	—
849	C₂³×C₃	—	4	8	no	—
850	C₂³×C₃	—	4	8	no	—
851	C₂³×C₃	—	4	8	no	—
852	C₂³×C₃	—	4	8	no	—
853	C₂³×C₃	—	4	8	no	—
854	C₂³×C₃	—	4	8	no	—
855	C₂³×C₃	—	4	8	no	—
856	C₂³×C₃	—	4	8	no	—
857	C₂³×C₃	—	4	4	no	—
858	C₂³×C₃	—	4	8	no	—
859	C₂³×C₃	—	4	4	no	—
860	C₂³×C₃	—	4	4	no	—
861	C₂³×C₃	—	4	4	no	—
862	C₂³×C₃	—	4	8	no	—
863	C₂³×C₃	—	4	8	no	—
864	C₂³×C₃	—	4	8	no	—
865	C₂³×C₃	—	4	8	no	—
866	C₂³×C₃	—	4	8	no	—
867	C₂³×C₃	—	4	4	no	—
868	C₂³×C₃	—	4	4	no	—
869	C₂³×C₃	—	4	128	no	—
870	C₂³×C₃	—	4	8	no	—
871	C₂³×C₃	—	4	8	no	—
872	C₂³×C₃	—	4	4	no	—
873	C₂³×C₃	—	4	4	no	—
874	C₂³×C₃	—	4	4	no	—
875	C₂³×C₃	—	8	2	no	—
876	C₂³×C₃	—	8	4	no	—
877	C₂³×C₃	—	8	4	no	—
878	C₂³×C₃	—	8	4	no	—
879	C₂³×C₃	C₂²×D₄	1	4	yes	—
880	C₂³×C₃	C₂²×D₄	1	2	yes	—
881	C₂³×C₃	C₂²×D₄	1	2	yes	—
882	C₂³×C₃	C₂²×D₄	1	2	yes	—
883	C₂³×C₃	C₂²×D₄	1	2	yes	—
884	C₂³×C₃	C₂²×D₄	1	2	yes	—
885	C₂³×C₃	H(5,𝔽₂)	1	4	yes	—
886	C₂³×C₃	H(5,𝔽₂)	1	4	yes	—
887	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
888	C₂³×C₃	C₂⁵	1	1	yes	characteristic
889	C₃×Q₈	—	4	4	no	—
890	C₃×D₄	—	2	8	no	—
891	C₃×D₄	—	4	8	no	—
892	C₃×D₄	—	4	8	no	—
893	C₃×D₄	—	4	8	no	—
894	C₃×D₄	—	4	4	no	—
895	C₃×D₄	—	4	8	no	—
896	C₃×D₄	—	4	8	no	—
897	C₃×D₄	—	4	8	no	—
898	C₃×D₄	—	4	4	no	—
899	C₃×D₄	—	4	4	no	—
900	C₃×D₄	—	4	8	no	—
901	C₃×D₄	—	4	8	no	—
902	C₃×D₄	—	4	8	no	—
903	C₃×D₄	—	4	4	no	—
904	C₃×D₄	—	4	8	no	—
905	C₃×D₄	—	4	4	no	—
906	C₃×D₄	—	4	4	no	—
907	C₃×D₄	—	8	2	no	—
908	C₃×D₄	—	8	4	no	—
909	C₃×D₄	—	8	2	no	—
910	C₃×D₄	—	8	4	no	—
911	C₃×D₄	—	8	4	no	—
912	C₃×D₄	—	8	4	no	—
913	C₃×D₄	—	8	4	no	—
914	C₂×C₃×C₄	—	2	8	no	—
915	C₂×C₃×C₄	—	2	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
917	C₂×C₃×C₄	—	2	1	no	—
918	C₂×C₃×C₄	—	2	2	no	—
919	C₂×C₃×C₄	—	2	2	no	—
920	C₂×C₃×C₄	—	2	2	no	—
921	C₂×C₃×C₄	—	2	2	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	2	no	—
927	C₂×C₃×C₄	—	2	2	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	2	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	2	no	—
935	C₂×C₃×C₄	—	2	2	no	—
936	C₂×C₃×C₄	—	2	2	no	—
937	C₂×C₃×C₄	—	2	2	no	—
938	C₂×C₃×C₄	—	2	2	no	—
939	C₂×C₃×C₄	—	2	2	no	—
940	C₂×C₃×C₄	—	2	2	no	—
941	C₂×C₃×C₄	—	2	2	no	—
942	C₂×C₃×C₄	—	2	2	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	2	no	—
946	C₂×C₃×C₄	—	2	2	no	—
947	C₂×C₃×C₄	—	4	4	no	—
948	C₂×C₃×C₄	—	4	4	no	—
949	C₂×C₃×C₄	—	4	4	no	—
950	C₂×C₃×C₄	—	4	8	no	—
951	C₂×C₃×C₄	—	4	4	no	—
952	C₂×C₃×C₄	—	4	4	no	—
953	C₂×C₃×C₄	—	8	2	no	—
954	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
955	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
956	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
957	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
958	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
959	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
960	C₂⁴	—	2	4	no	—
961	C₂⁴	—	2	2	no	—
962	C₂⁴	—	2	2	no	—
963	C₂⁴	—	2	2	no	—
964	C₂⁴	—	2	4	no	—
965	C₂⁴	—	2	4	no	—
966	C₂⁴	—	2	4	no	—
967	C₂⁴	—	2	2	no	—
968	C₂⁴	—	2	4	no	—
969	C₂⁴	—	2	2	no	—
970	C₂⁴	—	2	4	no	—
971	C₂⁴	—	2	4	no	—
972	C₂⁴	—	2	4	no	—
973	C₂⁴	—	2	2	no	—
974	C₂⁴	—	2	2	no	—
975	C₂⁴	—	2	2	no	—
976	C₂⁴	—	2	4	no	—
977	C₂⁴	—	2	4	no	—
978	C₂⁴	—	2	2	no	—
979	C₂⁴	—	2	2	no	—
980	C₂⁴	—	2	4	no	—
981	C₂⁴	—	2	2	no	—
982	C₂⁴	—	2	2	no	—
983	C₂⁴	—	4	2	no	—
984	C₂⁴	—	4	2	no	—
985	C₂⁴	—	4	2	no	—
986	C₂⁴	—	4	2	no	—
987	C₂⁴	—	4	2	no	—
988	C₂⁴	—	4	2	no	—
989	C₂⁴	—	4	2	no	—
990	C₂⁴	—	4	2	no	—
991	C₂⁴	—	4	2	no	—
992	C₂⁴	—	4	2	no	—
993	C₂⁴	—	4	1	no	—
994	C₂⁴	—	4	2	no	—
995	C₂⁴	—	4	2	no	—
996	C₂⁴	—	4	2	no	—
997	C₂⁴	—	4	16	no	—
998	C₂⁴	—	4	16	no	—
999	C₂⁴	—	4	32	no	—
1000	C₂⁴	—	4	16	no	—
1001	C₂⁴	—	4	32	no	—
1002	C₂⁴	C₂×C₃×D₄	1	4	yes	—
1003	C₂⁴	C₂×C₃×D₄	1	4	yes	—
1004	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1005	C₂⁴	C₂⁴×C₃	1	2	yes	—
1006	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1007	C₂⁴	C₂⁴×C₃	1	2	yes	—
1008	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1009	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1010	C₂⁴	C₂⁴×C₃	1	2	yes	—
1011	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1012	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1013	#41	—	4	16	no	—
1014	C₂×Q₈	—	2	2	no	—
1015	C₂×Q₈	—	2	2	no	—
1016	C₂×Q₈	—	4	1	no	—
1017	C₂×D₄	—	2	2	no	—
1018	C₂×D₄	—	2	2	no	—
1019	C₂×D₄	—	2	2	no	—
1020	C₂×D₄	—	2	4	no	—
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	2	4	no	—
1023	C₂×D₄	—	2	4	no	—
1024	C₂×D₄	—	2	4	no	—
1025	C₂×D₄	—	2	2	no	—
1026	C₂×D₄	—	2	2	no	—
1027	C₂×D₄	—	2	2	no	—
1028	C₂×D₄	—	2	4	no	—
1029	C₂×D₄	—	2	2	no	—
1030	C₂×D₄	—	2	2	no	—
1031	C₂×D₄	—	2	2	no	—
1032	C₂×D₄	—	2	4	no	—
1033	C₂×D₄	—	2	2	no	—
1034	C₂×D₄	—	2	4	no	—
1035	C₂×D₄	—	2	4	no	—
1036	C₂×D₄	—	2	2	no	—
1037	C₂×D₄	—	2	2	no	—
1038	C₂×D₄	—	2	4	no	—
1039	C₂×D₄	—	2	4	no	—
1040	C₂×D₄	—	2	4	no	—
1041	C₂×D₄	—	2	4	no	—
1042	C₂×D₄	—	2	4	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	2	4	no	—
1045	C₂×D₄	—	2	4	no	—
1046	C₂×D₄	—	2	4	no	—
1047	C₂×D₄	—	2	4	no	—
1048	C₂×D₄	—	2	4	no	—
1049	C₂×D₄	—	2	2	no	—
1050	C₂×D₄	—	2	4	no	—
1051	C₂×D₄	—	2	4	no	—
1052	C₂×D₄	—	2	4	no	—
1053	C₂×D₄	—	2	2	no	—
1054	C₂×D₄	—	2	2	no	—
1055	C₂×D₄	—	2	4	no	—
1056	C₂×D₄	—	4	2	no	—
1057	C₂×D₄	—	4	2	no	—
1058	C₂×D₄	—	4	2	no	—
1059	C₂×D₄	—	4	2	no	—
1060	C₂×D₄	—	4	2	no	—
1061	C₂×D₄	—	4	2	no	—
1062	C₂×D₄	—	4	2	no	—
1063	C₂×D₄	—	4	1	no	—
1064	C₂×D₄	—	4	2	no	—
1065	C₂×D₄	—	4	2	no	—
1066	C₂×D₄	—	4	1	no	—
1067	C₂×D₄	—	4	2	no	—
1068	C₂×D₄	—	4	2	no	—
1069	C₂×D₄	—	4	2	no	—
1070	C₂×D₄	—	4	1	no	—
1071	C₂×D₄	—	4	16	no	—
1072	C₂×D₄	—	4	2	no	—
1073	C₂×D₄	—	4	2	no	—
1074	C₂×D₄	—	4	2	no	—
1075	C₂×D₄	—	4	2	no	—
1076	C₂×D₄	—	4	2	no	—
1077	C₂×D₄	—	4	2	no	—
1078	C₂×D₄	—	4	2	no	—
1079	C₂×D₄	—	4	2	no	—
1080	C₂×D₄	—	4	2	no	—
1081	C₂×D₄	—	4	2	no	—
1082	C₂×D₄	—	4	2	no	—
1083	C₂×D₄	—	4	2	no	—
1084	C₂×D₄	—	4	2	no	—
1085	C₂×D₄	—	4	16	no	—
1086	C₂×D₄	—	4	16	no	—
1087	C₂×D₄	—	4	32	no	—
1088	C₂×D₄	—	4	16	no	—
1089	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1090	C₂×D₄	C₂×C₃×D₄	1	8	yes	complemented
1091	C₂²×C₄	—	2	2	no	—
1092	C₂²×C₄	—	2	2	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	2	no	—
1096	C₂²×C₄	—	2	4	no	—
1097	C₂²×C₄	—	2	4	no	—
1098	C₂²×C₄	—	2	2	no	—
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	4	2	no	—
1104	C₂²×C₄	—	4	2	no	—
1105	C₂²×C₄	—	4	1	no	—
1106	C₂²×C₄	—	4	2	no	—
1107	C₂²×C₄	—	4	1	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	4	2	no	—
1110	C₂²×C₄	C₂×C₃×D₄	1	4	yes	complemented
1111	C₂²×C₄	C₂×C₃×D₄	1	4	yes	complemented
1112	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1113	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1114	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1115	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1116	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1122	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1126	C₄⋊C₄	—	2	4	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	—	2	2	no	—
1129	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	—	2	2	no	—
1131	C₄⋊C₄	—	4	2	no	—
1132	C₄⋊C₄	—	4	2	no	—
1133	C₂²⋊C₄	—	2	4	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	4	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	4	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	4	no	—
1143	C₂²⋊C₄	—	2	4	no	—
1144	C₂²⋊C₄	—	2	4	no	—
1145	C₂²⋊C₄	—	2	4	no	—
1146	C₂²⋊C₄	—	2	4	no	—
1147	C₂²⋊C₄	—	2	4	no	—
1148	C₂²⋊C₄	—	2	4	no	—
1149	C₂²⋊C₄	—	2	4	no	—
1150	C₂²⋊C₄	—	2	2	no	—
1151	C₂²⋊C₄	—	2	2	no	—
1152	C₂²⋊C₄	—	2	2	no	—
1153	C₂²⋊C₄	—	2	2	no	—
1154	C₂²⋊C₄	—	2	4	no	—
1155	C₂²⋊C₄	—	2	4	no	—
1156	C₂²⋊C₄	—	2	2	no	—
1157	C₂²⋊C₄	—	4	2	no	—
1158	C₂²⋊C₄	—	4	2	no	—
1159	C₂²⋊C₄	—	4	2	no	—
1160	C₂²⋊C₄	—	4	2	no	—
1161	C₂²⋊C₄	—	4	2	no	—
1162	C₂²⋊C₄	—	4	2	no	—
1163	C₂²⋊C₄	—	4	2	no	—
1164	C₂²⋊C₄	—	4	2	no	—
1165	C₂²⋊C₄	—	4	2	no	—
1166	C₂²⋊C₄	—	4	2	no	—
1167	C₂²⋊C₄	—	4	2	no	—
1168	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1169	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1170	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1171	C₂²⋊C₄	C₂×C₃×D₄	1	8	yes	complemented
1172	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	complemented
1173	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	complemented
1174	C₄²	—	2	4	no	—
1175	C₄²	—	2	2	no	—
1176	C₄²	—	4	2	no	—
1177	C₂²×C₃	—	2	2	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	—	2	2	no	—
1180	C₂²×C₃	—	2	4	no	—
1181	C₂²×C₃	—	2	2	no	—
1182	C₂²×C₃	—	2	4	no	—
1183	C₂²×C₃	—	2	4	no	—
1184	C₂²×C₃	—	2	4	no	—
1185	C₂²×C₃	—	2	2	no	—
1186	C₂²×C₃	—	2	2	no	—
1187	C₂²×C₃	—	2	4	no	—
1188	C₂²×C₃	—	2	2	no	—
1189	C₂²×C₃	—	2	4	no	—
1190	C₂²×C₃	—	2	4	no	—
1191	C₂²×C₃	—	2	4	no	—
1192	C₂²×C₃	—	2	4	no	—
1193	C₂²×C₃	—	2	2	no	—
1194	C₂²×C₃	—	2	4	no	—
1195	C₂²×C₃	—	2	4	no	—
1196	C₂²×C₃	—	4	16	no	—
1197	C₂²×C₃	—	4	32	no	—
1198	C₂²×C₃	—	4	16	no	—
1199	C₂²×C₃	—	4	16	no	—
1200	C₂²×C₃	—	4	32	no	—
1201	C₂²×C₃	—	4	1	no	—
1202	C₂²×C₃	—	4	2	no	—
1203	C₂²×C₃	—	4	2	no	—
1204	C₂²×C₃	—	4	2	no	—
1205	C₂²×C₃	—	4	1	no	—
1206	C₂²×C₃	—	4	2	no	—
1207	C₂²×C₃	—	4	2	no	—
1208	C₂²×C₃	—	4	2	no	—
1209	C₂²×C₃	—	4	2	no	—
1210	C₂²×C₃	—	4	2	no	—
1211	C₂²×C₃	—	4	2	no	—
1212	C₂²×C₃	—	4	2	no	—
1213	C₂²×C₃	—	4	2	no	—
1214	C₂²×C₃	—	4	2	no	—
1215	C₂²×C₃	—	4	1	no	—
1216	C₂²×C₃	—	4	1	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	—	4	2	no	—
1219	C₂²×C₃	—	4	1	no	—
1220	C₂²×C₃	—	4	2	no	—
1221	C₂²×C₃	—	4	2	no	—
1222	C₂²×C₃	—	4	1	no	—
1223	C₂²×C₃	—	4	2	no	—
1224	C₂²×C₃	—	4	1	no	—
1225	C₂²×C₃	—	4	2	no	—
1226	C₂²×C₃	—	4	2	no	—
1227	C₂²×C₃	—	4	2	no	—
1228	C₂²×C₃	—	4	2	no	—
1229	C₂²×C₃	—	4	2	no	—
1230	C₂²×C₃	—	4	2	no	—
1231	C₂²×C₃	—	8	8	no	—
1232	C₂²×C₃	—	8	8	no	—
1233	C₂²×C₃	#535	1	4	yes	complemented
1234	C₂²×C₃	D₄²	1	4	yes	—
1235	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1236	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1237	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1238	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1239	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1240	C₃×C₄	—	2	2	no	—
1241	C₃×C₄	—	2	2	no	—
1242	C₃×C₄	—	2	2	no	—
1243	C₃×C₄	—	2	2	no	—
1244	C₃×C₄	—	2	2	no	—
1245	C₃×C₄	—	2	4	no	—
1246	C₃×C₄	—	4	2	no	—
1247	C₃×C₄	—	4	1	no	—
1248	C₃×C₄	—	4	1	no	—
1249	C₃×C₄	—	4	1	no	—
1250	C₃×C₄	—	4	2	no	—
1251	C₃×C₄	—	4	1	no	—
1252	C₃×C₄	—	4	2	no	—
1253	C₃×C₄	—	4	2	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	2	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	2	no	—
1258	C₂³	—	2	2	no	—
1259	C₂³	—	2	8	no	—
1260	C₂³	—	2	16	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	2	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	2	2	no	—
1275	C₂³	—	2	2	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	2	no	—
1278	C₂³	—	2	2	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	2	no	—
1281	C₂³	—	2	8	no	—
1282	C₂³	—	2	8	no	—
1283	C₂³	—	2	8	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	2	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	2	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	2	no	—
1291	C₂³	—	2	2	no	—
1292	C₂³	—	2	2	no	—
1293	C₂³	—	2	2	no	—
1294	C₂³	—	2	2	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	2	no	—
1297	C₂³	—	2	2	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	2	no	—
1300	C₂³	—	2	2	no	—
1301	C₂³	—	4	4	no	—
1302	C₂³	—	4	8	no	—
1303	C₂³	—	4	8	no	—
1304	C₂³	—	4	8	no	—
1305	C₂³	—	4	8	no	—
1306	C₂³	—	4	8	no	—
1307	C₂³	—	4	8	no	—
1308	C₂³	—	4	8	no	—
1309	C₂³	—	4	8	no	—
1310	C₂³	—	4	8	no	—
1311	C₂³	—	4	8	no	—
1312	C₂³	—	4	8	no	—
1313	C₂³	—	4	8	no	—
1314	C₂³	—	4	4	no	—
1315	C₂³	—	4	8	no	—
1316	C₂³	—	4	4	no	—
1317	C₂³	—	4	4	no	—
1318	C₂³	—	4	4	no	—
1319	C₂³	—	4	8	no	—
1320	C₂³	—	4	8	no	—
1321	C₂³	—	4	8	no	—
1322	C₂³	—	4	8	no	—
1323	C₂³	—	4	8	no	—
1324	C₂³	—	4	4	no	—
1325	C₂³	—	4	4	no	—
1326	C₂³	—	4	128	no	—
1327	C₂³	—	4	8	no	—
1328	C₂³	—	4	8	no	—
1329	C₂³	—	4	4	no	—
1330	C₂³	—	4	4	no	—
1331	C₂³	—	4	4	no	—
1332	C₂³	—	8	2	no	—
1333	C₂³	—	8	4	no	—
1334	C₂³	—	8	4	no	—
1335	C₂³	—	8	4	no	—
1336	C₂³	C₂²×C₃×D₄	1	4	yes	—
1337	C₂³	C₂²×C₃×D₄	1	2	yes	—
1338	C₂³	C₂²×C₃×D₄	1	2	yes	—
1339	C₂³	C₂²×C₃×D₄	1	2	yes	—
1340	C₂³	C₂²×C₃×D₄	1	2	yes	—
1341	C₂³	C₂²×C₃×D₄	1	2	yes	—
1342	C₂³	C₃×H(5,𝔽₂)	1	4	yes	—
1343	C₂³	C₃×H(5,𝔽₂)	1	4	yes	—
1344	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
1345	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1346	Q₈	—	4	4	no	—
1347	D₄	—	2	8	no	—
1348	D₄	—	4	8	no	—
1349	D₄	—	4	8	no	—
1350	D₄	—	4	8	no	—
1351	D₄	—	4	4	no	—
1352	D₄	—	4	8	no	—
1353	D₄	—	4	8	no	—
1354	D₄	—	4	8	no	—
1355	D₄	—	4	4	no	—
1356	D₄	—	4	4	no	—
1357	D₄	—	4	8	no	—
1358	D₄	—	4	8	no	—
1359	D₄	—	4	8	no	—
1360	D₄	—	4	8	no	—
1361	D₄	—	4	4	no	—
1362	D₄	—	4	4	no	—
1363	D₄	—	4	4	no	—
1364	D₄	—	8	2	no	—
1365	D₄	—	8	4	no	—
1366	D₄	—	8	2	no	—
1367	D₄	—	8	4	no	—
1368	D₄	—	8	4	no	—
1369	D₄	—	8	4	no	—
1370	D₄	—	8	4	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	2	no	—
1375	C₂×C₄	—	2	2	no	—
1376	C₂×C₄	—	2	2	no	—
1377	C₂×C₄	—	2	2	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	8	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	2	no	—
1384	C₂×C₄	—	2	2	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	2	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	2	no	—
1392	C₂×C₄	—	2	2	no	—
1393	C₂×C₄	—	2	2	no	—
1394	C₂×C₄	—	2	2	no	—
1395	C₂×C₄	—	2	2	no	—
1396	C₂×C₄	—	2	2	no	—
1397	C₂×C₄	—	2	2	no	—
1398	C₂×C₄	—	2	2	no	—
1399	C₂×C₄	—	2	2	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	2	no	—
1403	C₂×C₄	—	2	2	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	4	4	no	—
1407	C₂×C₄	—	4	8	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	4	4	no	—
1410	C₂×C₄	—	8	2	no	—
1411	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1412	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
1413	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1414	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1415	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1416	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1417	C₂×C₃	—	2	4	no	—
1418	C₂×C₃	—	2	4	no	—
1419	C₂×C₃	—	4	2	no	—
1420	C₂×C₃	—	4	4	no	—
1421	C₂×C₃	—	4	4	no	—
1422	C₂×C₃	—	4	2	no	—
1423	C₂×C₃	—	8	1	no	—
1424	C₂×C₃	—	8	2	no	—
1425	C₂×C₃	—	8	1	no	—
1426	C₂×C₃	C₂×#535	1	1	yes	characteristic
1427	C₂×C₃	C₂×D₄²	1	1	yes	characteristic
1428	C₂×C₃	#3484	1	1	yes	characteristic
1429	C₂×C₃	#3484	1	2	yes	—
1430	C₂×C₃	#3532	1	2	yes	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	2	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	2	4	no	—
1435	C₂²	—	2	2	no	—
1436	C₂²	—	2	4	no	—
1437	C₂²	—	2	4	no	—
1438	C₂²	—	2	4	no	—
1439	C₂²	—	2	2	no	—
1440	C₂²	—	2	2	no	—
1441	C₂²	—	2	4	no	—
1442	C₂²	—	2	2	no	—
1443	C₂²	—	2	4	no	—
1444	C₂²	—	2	4	no	—
1445	C₂²	—	2	4	no	—
1446	C₂²	—	2	4	no	—
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	4	no	—
1449	C₂²	—	2	4	no	—
1450	C₂²	—	4	16	no	—
1451	C₂²	—	4	32	no	—
1452	C₂²	—	4	16	no	—
1453	C₂²	—	4	16	no	—
1454	C₂²	—	4	32	no	—
1455	C₂²	—	4	2	no	—
1456	C₂²	—	4	2	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	2	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	2	no	—
1461	C₂²	—	4	2	no	—
1462	C₂²	—	4	2	no	—
1463	C₂²	—	4	2	no	—
1464	C₂²	—	4	2	no	—
1465	C₂²	—	4	2	no	—
1466	C₂²	—	4	2	no	—
1467	C₂²	—	4	2	no	—
1468	C₂²	—	4	2	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	2	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	2	no	—
1475	C₂²	—	4	2	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	2	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	2	no	—
1480	C₂²	—	4	2	no	—
1481	C₂²	—	4	2	no	—
1482	C₂²	—	4	2	no	—
1483	C₂²	—	4	2	no	—
1484	C₂²	—	4	2	no	—
1485	C₂²	—	8	8	no	—
1486	C₂²	—	8	8	no	—
1487	C₂²	C₃×#535	1	4	yes	complemented
1488	C₂²	C₃×D₄²	1	4	yes	—
1489	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1490	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1491	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1492	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1493	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	2	4	no	—
1500	C₄	—	4	2	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	2	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	2	no	—
1507	C₄	—	4	2	no	—
1508	C₃	#37645	1	1	yes	characteristic, direct product factor, Sylow
1509	C₂	—	2	4	no	—
1510	C₂	—	2	4	no	—
1511	C₂	—	4	2	no	—
1512	C₂	—	4	4	no	—
1513	C₂	—	4	4	no	—
1514	C₂	—	4	2	no	—
1515	C₂	—	8	2	no	—
1516	C₂	—	8	1	no	—
1517	C₂	—	8	1	no	—
1518	C₂	C₂×C₃×#535	1	1	yes	characteristic
1519	C₂	C₂×C₃×D₄²	1	1	yes	characteristic
1520	C₂	C₃×#3484	1	1	yes	characteristic
1521	C₂	C₃×#3484	1	2	yes	—
1522	C₂	C₃×#3532	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#546	C₂	semidirect
2. C₂×C₃×#535	C₂	semidirect
3. C₂²×C₃×#120	C₂	semidirect
4. C₂²×C₃×#120	C₂	semidirect
5. C₃×#2846	C₂	semidirect
6. C₃×#2678	C₂	semidirect
7. C₃×#2670	C₂	semidirect
8. C₃×#2669	C₂	semidirect
9. C₃×#2669	C₂	semidirect
10. C₃×#2617	C₂	semidirect
11. C₃×#2613	C₂	semidirect
12. C₃×#2472	C₂	semidirect
13. C₃×#2433	C₂	semidirect
14. C₃×#2433	C₂	semidirect
15. C₃×#2424	C₂	semidirect
16. C₃×#2411	C₂	semidirect
17. C₃×#2410	C₂	semidirect
18. C₃×#2410	C₂	semidirect
19. C₃×#2408	C₂	semidirect
20. C₃×#2404	C₂	semidirect
21. C₃×#2403	C₂	semidirect
22. C₃×#2342	C₂	semidirect
23. C₃×#2321	C₂	semidirect
24. #37645	C₃	direct (N × H)
26. C₂²×C₃×#41	C₂²	semidirect
29. C₂³×C₃×D₄	C₂²	semidirect
30. C₂³×C₃×D₄	C₂²	semidirect
31. C₂³×C₃×D₄	C₂²	semidirect
34. C₂×C₃×#127	C₂²	semidirect
35. C₂×C₃×#127	C₂²	semidirect
36. C₂×C₃×#124	C₂²	semidirect
37. C₂×C₃×#124	C₂²	semidirect
38. C₂×C₃×#123	C₂²	semidirect
39. C₂×C₃×#123	C₂²	semidirect
40. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
41. C₂×C₃×#121	C₂²	semidirect
42. C₂×C₃×#121	C₂²	semidirect
43. C₂×C₃×#121	C₂²	semidirect
44. C₂×C₃×#121	C₂²	semidirect
45. C₂×C₃×#121	C₂²	semidirect
46. C₂×C₃×#121	C₂²	semidirect
47. C₂×C₃×#121	C₂²	semidirect
57. C₂×C₃×#120	C₂²	semidirect
58. C₂×C₃×#120	C₂²	semidirect
59. C₂×C₃×#120	C₂²	semidirect
60. C₂×C₃×#120	C₂²	semidirect
61. C₂×C₃×#120	C₂²	semidirect
62. C₂×C₃×#120	C₂²	semidirect
63. C₂×C₃×#120	C₂²	semidirect
64. C₂×C₃×#120	C₂²	semidirect
65. C₂×C₃×#120	C₂²	semidirect
66. C₂×C₃×#120	C₂²	semidirect
67. C₂×C₃×#120	C₂²	semidirect
68. C₂×C₃×#120	C₂²	semidirect
69. C₂×C₃×#120	C₂²	semidirect
70. C₂×C₃×C₄×D₄	C₂²	semidirect
71. C₂×C₃×C₄×D₄	C₂²	semidirect
72. C₂×C₃×#117	C₂²	semidirect
75. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
76. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
77. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
78. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
79. C₃×#397	C₂²	semidirect
80. C₃×#396	C₂²	semidirect
81. C₃×#394	C₂²	semidirect
82. C₃×#394	C₂²	semidirect
83. C₃×#394	C₂²	semidirect
84. C₃×#394	C₂²	semidirect
85. C₃×#394	C₂²	semidirect
86. C₃×#394	C₂²	semidirect
87. C₃×#394	C₂²	semidirect
88. C₃×#393	C₂²	semidirect
89. C₃×#392	C₂²	semidirect
90. C₃×#392	C₂²	semidirect
91. C₃×#392	C₂²	semidirect
92. C₃×#392	C₂²	semidirect
93. C₃×#392	C₂²	semidirect
94. C₃×#392	C₂²	semidirect
95. C₃×#392	C₂²	semidirect
96. C₃×#392	C₂²	semidirect
97. C₃×#392	C₂²	semidirect
98. C₃×#392	C₂²	semidirect
99. C₃×#390	C₂²	semidirect
100. C₃×#390	C₂²	semidirect
101. C₃×#390	C₂²	semidirect
102. C₃×#390	C₂²	semidirect
103. C₃×#388	C₂²	semidirect
104. C₃×#388	C₂²	semidirect
105. C₃×#388	C₂²	semidirect
106. C₃×#388	C₂²	semidirect
107. C₃×#388	C₂²	semidirect
108. C₃×#386	C₂²	semidirect
109. C₃×#386	C₂²	semidirect
110. C₃×#386	C₂²	semidirect
111. C₃×#386	C₂²	semidirect
112. C₃×#386	C₂²	semidirect
113. C₃×#386	C₂²	semidirect
114. C₃×#386	C₂²	semidirect
115. C₃×#386	C₂²	semidirect
116. C₃×#385	C₂²	semidirect
117. C₃×#385	C₂²	semidirect
118. C₃×#381	C₂²	semidirect
119. C₃×#380	C₂²	semidirect
121. C₃×#379	C₂²	semidirect
122. C₃×#379	C₂²	semidirect
123. C₃×#379	C₂²	semidirect
124. C₃×#379	C₂²	semidirect
125. C₃×#379	C₂²	semidirect
126. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
127. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
128. C₂×#546	C₂×C₃	semidirect
129. C₂×#535	C₂×C₃	semidirect
130. C₂²×#120	C₂×C₃	semidirect
131. C₂²×#120	C₂×C₃	semidirect
132. #2846	C₂×C₃	semidirect
133. #2678	C₂×C₃	semidirect
134. #2670	C₂×C₃	semidirect
135. #2669	C₂×C₃	semidirect
136. #2669	C₂×C₃	semidirect
137. #2617	C₂×C₃	semidirect
138. #2613	C₂×C₃	semidirect
139. #2472	C₂×C₃	semidirect
140. #2433	C₂×C₃	semidirect
141. #2433	C₂×C₃	semidirect
142. #2424	C₂×C₃	semidirect
143. #2411	C₂×C₃	semidirect
144. #2410	C₂×C₃	semidirect
145. #2410	C₂×C₃	semidirect
146. #2408	C₂×C₃	semidirect
147. #2404	C₂×C₃	semidirect
148. #2403	C₂×C₃	semidirect
149. #2342	C₂×C₃	semidirect
150. #2321	C₂×C₃	semidirect
166. C₂²×C₃×Q₈	C₂³	semidirect
199. C₂²×C₃×D₄	C₂³	semidirect
200. C₂²×C₃×D₄	C₂³	semidirect
201. C₂²×C₃×D₄	C₂³	semidirect
202. C₂²×C₃×D₄	C₂³	semidirect
203. C₂²×C₃×D₄	C₂³	semidirect
209. C₂³×C₃×C₄	C₂³	semidirect
210. C₂³×C₃×C₄	C₂³	semidirect
211. C₂³×C₃×C₄	C₂³	semidirect
245. C₃×#120	D₄	semidirect
249. C₂×C₃×C₄⋊C₄	C₂³	semidirect
250. C₂×C₃×C₄⋊C₄	C₂³	semidirect
251. C₂×C₃×C₄⋊C₄	C₂³	semidirect
252. C₂×C₃×C₄⋊C₄	C₂³	semidirect
253. C₂×C₃×C₄⋊C₄	C₂³	semidirect
254. C₂×C₃×C₄⋊C₄	C₂³	semidirect
255. C₂×C₃×C₄⋊C₄	C₂³	semidirect
261. C₂×C₃×C₂²⋊C₄	D₄	semidirect
290. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
291. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
292. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
293. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
294. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
295. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
296. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
297. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
298. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
299. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
300. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
301. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
302. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
303. C₂×C₃×C₄²	C₂³	semidirect
304. C₂×C₃×C₄²	C₂³	semidirect
305. C₂×C₃×C₄²	C₂³	semidirect
306. C₃×#95	C₂³	semidirect
307. C₃×#95	C₂³	semidirect
308. C₃×#95	C₂³	semidirect
309. C₃×#95	C₂³	semidirect
310. C₃×#95	C₂³	semidirect
311. C₃×#95	C₂³	semidirect
312. C₃×#95	C₂³	semidirect
313. C₃×#95	C₂³	semidirect
315. C₂²×#41	C₂²×C₃	semidirect
318. C₂³×D₄	C₂²×C₃	semidirect
319. C₂³×D₄	C₂²×C₃	semidirect
320. C₂³×D₄	C₂²×C₃	semidirect
323. C₂×#127	C₂²×C₃	semidirect
324. C₂×#127	C₂²×C₃	semidirect
325. C₂×#124	C₂²×C₃	semidirect
326. C₂×#124	C₂²×C₃	semidirect
327. C₂×#123	C₂²×C₃	semidirect
328. C₂×#123	C₂²×C₃	semidirect
329. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
330. C₂×#121	C₂²×C₃	semidirect
331. C₂×#121	C₂²×C₃	semidirect
332. C₂×#121	C₂²×C₃	semidirect
333. C₂×#121	C₂²×C₃	semidirect
334. C₂×#121	C₂²×C₃	semidirect
335. C₂×#121	C₂²×C₃	semidirect
336. C₂×#121	C₂²×C₃	semidirect
346. C₂×#120	C₂²×C₃	semidirect
347. C₂×#120	C₂²×C₃	semidirect
348. C₂×#120	C₂²×C₃	semidirect
349. C₂×#120	C₂²×C₃	semidirect
350. C₂×#120	C₂²×C₃	semidirect
351. C₂×#120	C₂²×C₃	semidirect
352. C₂×#120	C₂²×C₃	semidirect
353. C₂×#120	C₂²×C₃	semidirect
354. C₂×#120	C₂²×C₃	semidirect
355. C₂×#120	C₂²×C₃	semidirect
356. C₂×#120	C₂²×C₃	semidirect
357. C₂×#120	C₂²×C₃	semidirect
358. C₂×#120	C₂²×C₃	semidirect
359. C₂×C₄×D₄	C₂²×C₃	semidirect
360. C₂×C₄×D₄	C₂²×C₃	semidirect
361. C₂×#117	C₂²×C₃	semidirect
364. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
365. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
366. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
367. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
368. #397	C₂²×C₃	semidirect
369. #396	C₂²×C₃	semidirect
370. #394	C₂²×C₃	semidirect
371. #394	C₂²×C₃	semidirect
372. #394	C₂²×C₃	semidirect
373. #394	C₂²×C₃	semidirect
374. #394	C₂²×C₃	semidirect
375. #394	C₂²×C₃	semidirect
376. #394	C₂²×C₃	semidirect
377. #393	C₂²×C₃	semidirect
378. #392	C₂²×C₃	semidirect
379. #392	C₂²×C₃	semidirect
380. #392	C₂²×C₃	semidirect
381. #392	C₂²×C₃	semidirect
382. #392	C₂²×C₃	semidirect
383. #392	C₂²×C₃	semidirect
384. #392	C₂²×C₃	semidirect
385. #392	C₂²×C₃	semidirect
386. #392	C₂²×C₃	semidirect
387. #392	C₂²×C₃	semidirect
388. #390	C₂²×C₃	semidirect
389. #390	C₂²×C₃	semidirect
390. #390	C₂²×C₃	semidirect
391. #390	C₂²×C₃	semidirect
392. #388	C₂²×C₃	semidirect
393. #388	C₂²×C₃	semidirect
394. #388	C₂²×C₃	semidirect
395. #388	C₂²×C₃	semidirect
396. #388	C₂²×C₃	semidirect
397. #386	C₂²×C₃	semidirect
398. #386	C₂²×C₃	semidirect
399. #386	C₂²×C₃	semidirect
400. #386	C₂²×C₃	semidirect
401. #386	C₂²×C₃	semidirect
402. #386	C₂²×C₃	semidirect
403. #386	C₂²×C₃	semidirect
404. #386	C₂²×C₃	semidirect
405. #385	C₂²×C₃	semidirect
406. #385	C₂²×C₃	semidirect
407. #381	C₂²×C₃	semidirect
408. #380	C₂²×C₃	semidirect
410. #379	C₂²×C₃	semidirect
411. #379	C₂²×C₃	semidirect
412. #379	C₂²×C₃	semidirect
413. #379	C₂²×C₃	semidirect
414. #379	C₂²×C₃	semidirect
415. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
416. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
547. C₂×C₃×D₄	C₂×D₄	semidirect
567. C₂²×C₃×C₄	C₂×D₄	semidirect
568. C₂²×C₃×C₄	C₂×D₄	semidirect
628. C₃×C₂²⋊C₄	C₂×D₄	semidirect
629. C₃×C₂²⋊C₄	C₂×D₄	semidirect
630. C₃×C₂²⋊C₄	C₂×D₄	semidirect
649. C₂²×Q₈	C₂³×C₃	semidirect
682. C₂²×D₄	C₂³×C₃	semidirect
683. C₂²×D₄	C₂³×C₃	semidirect
684. C₂²×D₄	C₂³×C₃	semidirect
685. C₂²×D₄	C₂³×C₃	semidirect
686. C₂²×D₄	C₂³×C₃	semidirect
692. C₂³×C₄	C₂³×C₃	semidirect
693. C₂³×C₄	C₂³×C₃	semidirect
694. C₂³×C₄	C₂³×C₃	semidirect
728. #120	C₃×D₄	semidirect
732. C₂×C₄⋊C₄	C₂³×C₃	semidirect
733. C₂×C₄⋊C₄	C₂³×C₃	semidirect
734. C₂×C₄⋊C₄	C₂³×C₃	semidirect
735. C₂×C₄⋊C₄	C₂³×C₃	semidirect
736. C₂×C₄⋊C₄	C₂³×C₃	semidirect
737. C₂×C₄⋊C₄	C₂³×C₃	semidirect
738. C₂×C₄⋊C₄	C₂³×C₃	semidirect
744. C₂×C₂²⋊C₄	C₃×D₄	semidirect
773. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
774. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
775. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
776. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
777. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
778. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
779. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
780. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
781. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
782. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
783. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
784. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
785. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
786. C₂×C₄²	C₂³×C₃	semidirect
787. C₂×C₄²	C₂³×C₃	semidirect
788. C₂×C₄²	C₂³×C₃	semidirect
789. #95	C₂³×C₃	semidirect
790. #95	C₂³×C₃	semidirect
791. #95	C₂³×C₃	semidirect
792. #95	C₂³×C₃	semidirect
793. #95	C₂³×C₃	semidirect
794. #95	C₂³×C₃	semidirect
795. #95	C₂³×C₃	semidirect
796. #95	C₂³×C₃	semidirect
1090. C₂×D₄	C₂×C₃×D₄	semidirect
1110. C₂²×C₄	C₂×C₃×D₄	semidirect
1111. C₂²×C₄	C₂×C₃×D₄	semidirect
1171. C₂²⋊C₄	C₂×C₃×D₄	semidirect
1172. C₂²⋊C₄	C₂×C₃×D₄	semidirect
1173. C₂²⋊C₄	C₂×C₃×D₄	semidirect
1233. C₂²×C₃	#535	semidirect
1487. C₂²	C₃×#535	semidirect
1508. C₃	#37645	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#546	2
C₂×C₃×#535	2
C₂²×C₃×#120	2
C₃×#2846	2
C₃×#2678	2
C₃×#2670	2
C₃×#2669	2
C₃×#2617	2
C₃×#2613	2
C₃×#2472	2
C₃×#2433	2
C₃×#2424	2
C₃×#2411	2
C₃×#2410	2
C₃×#2408	2
C₃×#2404	2
C₃×#2403	2
C₃×#2342	2
C₃×#2321	2
#37645	3

Subgroups — C3×#37645 #10656252

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37645 #10656252