Subgroups — C₃×#42974 #10661581

Order 768.

2072 conjugacy classes of subgroups.

The subgroup lattice has 1138 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2829	C₂	1	2	yes	maximal, complemented
2	C₃×#2735	C₂	1	2	yes	maximal, complemented
3	C₃×#2697	C₂	1	2	yes	maximal, complemented
4	C₃×#2685	C₂	1	2	yes	maximal, complemented
5	C₃×#2678	C₂	1	2	yes	maximal, complemented
6	C₃×#2661	C₂	1	2	yes	maximal, complemented
7	C₃×#2651	C₂	1	2	yes	maximal, complemented
8	C₃×#2629	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2554	C₂	1	2	yes	maximal, complemented
10	C₃×#2513	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2512	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2501	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2500	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2490	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2490	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2416	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2414	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2408	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2408	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2354	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2309	C₂	1	1	yes	maximal, characteristic, complemented
24	#42974	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
26	C₂×C₃×#126	C₂²	1	2	yes	complemented
27	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₃×#123	C₂²	1	2	yes	complemented
29	C₂×C₃×#123	C₂²	1	2	yes	complemented
30	C₂×C₃×#121	C₂²	1	1	yes	characteristic
31	C₂×C₃×#121	C₂²	1	1	yes	characteristic
32	C₂×C₃×#121	C₂²	1	1	yes	characteristic
33	C₂×C₃×#121	C₂²	1	1	yes	characteristic
34	C₂×C₃×#121	C₂²	1	2	yes	complemented
35	C₂×C₃×#120	C₂²	1	2	yes	—
36	C₂×C₃×#120	C₂²	1	2	yes	—
37	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×#117	C₂²	1	1	yes	characteristic
41	C₂×C₃×#117	C₂²	1	1	yes	characteristic
42	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	C₃×#399	C₂²	1	2	yes	complemented
45	C₃×#399	C₂²	1	2	yes	complemented
46	C₃×#398	C₂²	1	2	yes	complemented
47	C₃×#398	C₂²	1	2	yes	complemented
48	C₃×#398	C₂²	1	1	yes	characteristic, complemented
49	C₃×#397	C₂²	1	1	yes	characteristic
50	C₃×#397	C₂²	1	2	yes	complemented
51	C₃×#397	C₂²	1	2	yes	complemented
52	C₃×#397	C₂²	1	2	yes	complemented
53	C₃×#397	C₂²	1	2	yes	complemented
54	C₃×#397	C₂²	1	2	yes	complemented
55	C₃×#396	C₂²	1	2	yes	—
56	C₃×#396	C₂²	1	2	yes	—
57	C₃×#396	C₂²	1	1	yes	characteristic, complemented
58	C₃×#396	C₂²	1	1	yes	characteristic, complemented
59	C₃×#396	C₂²	1	2	yes	complemented
60	C₃×#396	C₂²	1	2	yes	complemented
61	C₃×#394	C₂²	1	1	yes	characteristic
62	C₃×#394	C₂²	1	1	yes	characteristic
63	C₃×#394	C₂²	1	2	yes	—
64	C₃×#394	C₂²	1	2	yes	—
65	C₃×#394	C₂²	1	1	yes	characteristic, complemented
66	C₃×#394	C₂²	1	2	yes	complemented
67	C₃×#394	C₂²	1	2	yes	complemented
68	C₃×#394	C₂²	1	2	yes	complemented
69	C₃×#394	C₂²	1	2	yes	complemented
70	C₃×#394	C₂²	1	2	yes	complemented
71	C₃×#394	C₂²	1	2	yes	complemented
72	C₃×#392	C₂²	1	1	yes	characteristic
73	C₃×#392	C₂²	1	2	yes	—
74	C₃×#392	C₂²	1	2	yes	—
75	C₃×#392	C₂²	1	2	yes	complemented
76	C₃×#390	C₂²	1	2	yes	—
77	C₃×#390	C₂²	1	1	yes	characteristic
78	C₃×#390	C₂²	1	1	yes	characteristic
79	C₃×#390	C₂²	1	1	yes	characteristic
80	C₃×#390	C₂²	1	1	yes	characteristic
81	C₃×#390	C₂²	1	1	yes	characteristic
82	C₃×#390	C₂²	1	1	yes	characteristic
83	C₃×#390	C₂²	1	2	yes	—
84	C₃×#390	C₂²	1	1	yes	characteristic
85	C₃×#390	C₂²	1	1	yes	characteristic
86	C₃×#390	C₂²	1	2	yes	—
87	C₃×#390	C₂²	1	2	yes	complemented
88	C₃×#390	C₂²	1	2	yes	complemented
89	C₃×#390	C₂²	1	2	yes	complemented
90	C₃×#389	C₂²	1	1	yes	characteristic, complemented
91	C₃×#389	C₂²	1	1	yes	characteristic, complemented
92	C₃×#388	C₂²	1	2	yes	—
93	C₃×#388	C₂²	1	2	yes	—
94	C₃×#388	C₂²	1	2	yes	complemented
95	C₃×#388	C₂²	1	2	yes	complemented
96	C₃×#388	C₂²	1	2	yes	complemented
97	C₃×#388	C₂²	1	2	yes	complemented
98	C₃×#388	C₂²	1	2	yes	complemented
99	C₃×#388	C₂²	1	2	yes	complemented
100	C₃×#388	C₂²	1	2	yes	complemented
101	C₃×#388	C₂²	1	2	yes	complemented
102	C₃×#388	C₂²	1	2	yes	complemented
103	C₃×#387	C₂²	1	2	yes	complemented
104	C₃×#386	C₂²	1	2	yes	—
105	C₃×#386	C₂²	1	2	yes	complemented
106	C₃×#384	C₂²	1	1	yes	characteristic, complemented
107	C₃×#384	C₂²	1	1	yes	characteristic, complemented
108	C₃×#382	C₂²	1	1	yes	characteristic, complemented
109	C₃×#380	C₂²	1	1	yes	characteristic
110	C₃×#380	C₂²	1	1	yes	characteristic
111	C₃×#380	C₂²	1	1	yes	characteristic, complemented
112	C₃×#380	C₂²	1	1	yes	characteristic, complemented
113	C₃×#379	C₂²	1	2	yes	—
114	C₃×#379	C₂²	1	2	yes	—
115	C₃×#379	C₂²	1	2	yes	—
116	C₃×#379	C₂²	1	2	yes	—
117	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
119	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
122	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
124	#2829	C₂×C₃	1	2	yes	complemented
125	#2735	C₂×C₃	1	2	yes	complemented
126	#2697	C₂×C₃	1	2	yes	complemented
127	#2685	C₂×C₃	1	2	yes	complemented
128	#2678	C₂×C₃	1	2	yes	complemented
129	#2661	C₂×C₃	1	2	yes	complemented
130	#2651	C₂×C₃	1	2	yes	complemented
131	#2629	C₂×C₃	1	1	yes	characteristic, complemented
132	#2554	C₂×C₃	1	2	yes	complemented
133	#2513	C₂×C₃	1	1	yes	characteristic, complemented
134	#2512	C₂×C₃	1	1	yes	characteristic, complemented
135	#2501	C₂×C₃	1	1	yes	characteristic, complemented
136	#2500	C₂×C₃	1	1	yes	characteristic, complemented
137	#2490	C₂×C₃	1	1	yes	characteristic, complemented
138	#2490	C₂×C₃	1	1	yes	characteristic, complemented
139	#2416	C₂×C₃	1	1	yes	characteristic, complemented
140	#2414	C₂×C₃	1	1	yes	characteristic, complemented
141	#2408	C₂×C₃	1	1	yes	characteristic, complemented
142	#2408	C₂×C₃	1	1	yes	characteristic, complemented
143	#2392	C₂×C₃	1	1	yes	characteristic, complemented
144	#2354	C₂×C₃	1	1	yes	characteristic, complemented
145	#2352	C₂×C₃	1	1	yes	characteristic, complemented
146	#2309	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂⁵×C₃	C₂³	1	2	yes	—
148	C₂²×C₃×D₄	—	2	4	no	—
149	C₂²×C₃×D₄	—	4	2	no	—
150	C₂²×C₃×D₄	—	4	2	no	—
151	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
152	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
153	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
154	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
155	C₂²×C₃×D₄	C₂³	1	2	yes	—
156	C₂²×C₃×D₄	C₂³	1	2	yes	—
157	C₂²×C₃×D₄	C₂³	1	2	yes	—
158	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
159	C₂²×C₃×D₄	C₂³	1	2	yes	—
160	C₂²×C₃×D₄	C₂³	1	2	yes	—
161	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
162	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
163	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
164	C₂³×C₃×C₄	C₂³	1	2	yes	—
165	C₃×#126	—	4	4	no	—
166	C₃×#125	—	4	2	no	—
167	C₃×#123	—	4	4	no	—
168	C₃×#123	—	4	4	no	—
169	C₃×#121	—	4	2	no	—
170	C₃×#121	—	4	2	no	—
171	C₃×#121	—	4	2	no	—
172	C₃×#121	—	4	2	no	—
173	C₃×#121	—	4	4	no	—
174	C₃×#120	—	4	4	no	—
175	C₃×#120	—	4	4	no	—
176	C₃×C₄×D₄	—	2	4	no	—
177	C₃×C₄×D₄	—	2	4	no	—
178	C₃×C₄×D₄	—	4	2	no	—
179	C₃×#117	—	4	2	no	—
180	C₃×#117	—	4	2	no	—
181	C₃×#117	—	4	2	no	—
182	C₂×C₃×C₄⋊C₄	—	4	2	no	—
183	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
187	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
188	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
189	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
190	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
195	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
201	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
203	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
240	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄²	C₂³	1	2	yes	—
248	C₂×C₃×C₄²	C₂³	1	2	yes	—
249	C₂×C₃×C₄²	C₂³	1	2	yes	—
250	C₂×C₃×C₄²	C₂³	1	2	yes	—
251	C₃×#95	C₂³	1	2	yes	—
252	C₃×#95	C₂³	1	2	yes	—
253	C₃×#95	C₂³	1	1	yes	characteristic
254	C₃×#95	C₂³	1	1	yes	characteristic
255	C₃×#95	C₂³	1	1	yes	characteristic
256	C₃×#95	C₂³	1	1	yes	characteristic
257	C₃×#95	C₂³	1	2	yes	—
258	C₃×#95	C₂³	1	2	yes	—
259	C₃×#95	C₂³	1	2	yes	—
260	C₃×#95	C₂³	1	2	yes	—
261	C₃×#95	C₂³	1	1	yes	characteristic
262	C₃×#95	C₂³	1	1	yes	characteristic
263	C₃×#95	C₂³	1	2	yes	—
264	C₃×#95	C₂³	1	2	yes	—
265	C₃×#95	C₂³	1	2	yes	—
266	C₃×#95	C₂³	1	2	yes	—
267	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
268	C₂×#126	C₂²×C₃	1	2	yes	complemented
269	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
270	C₂×#123	C₂²×C₃	1	2	yes	complemented
271	C₂×#123	C₂²×C₃	1	2	yes	complemented
272	C₂×#121	C₂²×C₃	1	1	yes	characteristic
273	C₂×#121	C₂²×C₃	1	1	yes	characteristic
274	C₂×#121	C₂²×C₃	1	1	yes	characteristic
275	C₂×#121	C₂²×C₃	1	1	yes	characteristic
276	C₂×#121	C₂²×C₃	1	2	yes	complemented
277	C₂×#120	C₂²×C₃	1	2	yes	—
278	C₂×#120	C₂²×C₃	1	2	yes	—
279	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
280	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
281	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
282	C₂×#117	C₂²×C₃	1	1	yes	characteristic
283	C₂×#117	C₂²×C₃	1	1	yes	characteristic
284	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
285	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
286	#399	C₂²×C₃	1	2	yes	complemented
287	#399	C₂²×C₃	1	2	yes	complemented
288	#398	C₂²×C₃	1	2	yes	complemented
289	#398	C₂²×C₃	1	2	yes	complemented
290	#398	C₂²×C₃	1	1	yes	characteristic, complemented
291	#397	C₂²×C₃	1	1	yes	characteristic
292	#397	C₂²×C₃	1	2	yes	complemented
293	#397	C₂²×C₃	1	2	yes	complemented
294	#397	C₂²×C₃	1	2	yes	complemented
295	#397	C₂²×C₃	1	2	yes	complemented
296	#397	C₂²×C₃	1	2	yes	complemented
297	#396	C₂²×C₃	1	2	yes	—
298	#396	C₂²×C₃	1	2	yes	—
299	#396	C₂²×C₃	1	1	yes	characteristic, complemented
300	#396	C₂²×C₃	1	2	yes	complemented
301	#396	C₂²×C₃	1	1	yes	characteristic, complemented
302	#396	C₂²×C₃	1	2	yes	complemented
303	#394	C₂²×C₃	1	2	yes	—
304	#394	C₂²×C₃	1	1	yes	characteristic
305	#394	C₂²×C₃	1	1	yes	characteristic
306	#394	C₂²×C₃	1	2	yes	—
307	#394	C₂²×C₃	1	2	yes	complemented
308	#394	C₂²×C₃	1	2	yes	complemented
309	#394	C₂²×C₃	1	2	yes	complemented
310	#394	C₂²×C₃	1	2	yes	complemented
311	#394	C₂²×C₃	1	1	yes	characteristic, complemented
312	#394	C₂²×C₃	1	2	yes	complemented
313	#394	C₂²×C₃	1	2	yes	complemented
314	#392	C₂²×C₃	1	2	yes	—
315	#392	C₂²×C₃	1	1	yes	characteristic
316	#392	C₂²×C₃	1	2	yes	—
317	#392	C₂²×C₃	1	2	yes	complemented
318	#390	C₂²×C₃	1	2	yes	—
319	#390	C₂²×C₃	1	2	yes	—
320	#390	C₂²×C₃	1	1	yes	characteristic
321	#390	C₂²×C₃	1	1	yes	characteristic
322	#390	C₂²×C₃	1	1	yes	characteristic
323	#390	C₂²×C₃	1	1	yes	characteristic
324	#390	C₂²×C₃	1	2	yes	—
325	#390	C₂²×C₃	1	1	yes	characteristic
326	#390	C₂²×C₃	1	1	yes	characteristic
327	#390	C₂²×C₃	1	1	yes	characteristic
328	#390	C₂²×C₃	1	1	yes	characteristic
329	#390	C₂²×C₃	1	2	yes	complemented
330	#390	C₂²×C₃	1	2	yes	complemented
331	#390	C₂²×C₃	1	2	yes	complemented
332	#389	C₂²×C₃	1	1	yes	characteristic, complemented
333	#389	C₂²×C₃	1	1	yes	characteristic, complemented
334	#388	C₂²×C₃	1	2	yes	—
335	#388	C₂²×C₃	1	2	yes	—
336	#388	C₂²×C₃	1	2	yes	complemented
337	#388	C₂²×C₃	1	2	yes	complemented
338	#388	C₂²×C₃	1	2	yes	complemented
339	#388	C₂²×C₃	1	2	yes	complemented
340	#388	C₂²×C₃	1	2	yes	complemented
341	#388	C₂²×C₃	1	2	yes	complemented
342	#388	C₂²×C₃	1	2	yes	complemented
343	#388	C₂²×C₃	1	2	yes	complemented
344	#388	C₂²×C₃	1	2	yes	complemented
345	#387	C₂²×C₃	1	2	yes	complemented
346	#386	C₂²×C₃	1	2	yes	—
347	#386	C₂²×C₃	1	2	yes	complemented
348	#384	C₂²×C₃	1	1	yes	characteristic, complemented
349	#384	C₂²×C₃	1	1	yes	characteristic, complemented
350	#382	C₂²×C₃	1	1	yes	characteristic, complemented
351	#380	C₂²×C₃	1	1	yes	characteristic
352	#380	C₂²×C₃	1	1	yes	characteristic
353	#380	C₂²×C₃	1	1	yes	characteristic, complemented
354	#380	C₂²×C₃	1	1	yes	characteristic, complemented
355	#379	C₂²×C₃	1	2	yes	—
356	#379	C₂²×C₃	1	2	yes	—
357	#379	C₂²×C₃	1	2	yes	—
358	#379	C₂²×C₃	1	2	yes	—
359	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
360	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
361	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
362	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
363	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
364	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
365	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
366	C₂⁴×C₃	—	2	4	no	—
367	C₂⁴×C₃	—	4	2	no	—
368	C₂⁴×C₃	—	4	2	no	—
369	C₂⁴×C₃	—	4	2	no	—
370	C₂⁴×C₃	—	4	2	no	—
371	C₂⁴×C₃	—	4	2	no	—
372	C₂⁴×C₃	—	4	2	no	—
373	C₂⁴×C₃	C₂⁴	1	2	yes	—
374	C₂⁴×C₃	C₂⁴	1	2	yes	—
375	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₃×D₄	—	2	2	no	—
379	C₂×C₃×D₄	—	2	2	no	—
380	C₂×C₃×D₄	—	2	2	no	—
381	C₂×C₃×D₄	—	2	2	no	—
382	C₂×C₃×D₄	—	2	4	no	—
383	C₂×C₃×D₄	—	2	4	no	—
384	C₂×C₃×D₄	—	2	4	no	—
385	C₂×C₃×D₄	—	2	2	no	—
386	C₂×C₃×D₄	—	2	2	no	—
387	C₂×C₃×D₄	—	2	2	no	—
388	C₂×C₃×D₄	—	2	2	no	—
389	C₂×C₃×D₄	—	2	2	no	—
390	C₂×C₃×D₄	—	2	2	no	—
391	C₂×C₃×D₄	—	2	2	no	—
392	C₂×C₃×D₄	—	4	1	no	—
393	C₂×C₃×D₄	—	4	2	no	—
394	C₂×C₃×D₄	—	4	2	no	—
395	C₂×C₃×D₄	—	4	1	no	—
396	C₂×C₃×D₄	—	4	1	no	—
397	C₂×C₃×D₄	—	4	1	no	—
398	C₂×C₃×D₄	—	4	16	no	—
399	C₂×C₃×D₄	—	4	2	no	—
400	C₂×C₃×D₄	—	4	2	no	—
401	C₂×C₃×D₄	—	4	2	no	—
402	C₂×C₃×D₄	—	4	2	no	—
403	C₂×C₃×D₄	—	4	2	no	—
404	C₂×C₃×D₄	—	4	2	no	—
405	C₂×C₃×D₄	—	4	2	no	—
406	C₂×C₃×D₄	—	4	2	no	—
407	C₂×C₃×D₄	—	4	2	no	—
408	C₂×C₃×D₄	—	4	2	no	—
409	C₂²×C₃×C₄	—	2	2	no	—
410	C₂²×C₃×C₄	—	2	2	no	—
411	C₂²×C₃×C₄	—	2	4	no	—
412	C₂²×C₃×C₄	—	2	2	no	—
413	C₂²×C₃×C₄	—	2	2	no	—
414	C₂²×C₃×C₄	—	2	2	no	—
415	C₂²×C₃×C₄	—	2	2	no	—
416	C₂²×C₃×C₄	—	2	2	no	—
417	C₂²×C₃×C₄	—	2	2	no	—
418	C₂²×C₃×C₄	—	4	2	no	—
419	C₂²×C₃×C₄	—	4	2	no	—
420	C₂²×C₃×C₄	#41	1	4	yes	—
421	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
422	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
423	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
424	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
425	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
426	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
427	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
428	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
429	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
430	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
431	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
432	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
433	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
434	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
435	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
436	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
437	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
438	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
439	C₃×C₄⋊C₄	—	2	2	no	—
440	C₃×C₄⋊C₄	—	2	2	no	—
441	C₃×C₄⋊C₄	—	2	2	no	—
442	C₃×C₄⋊C₄	—	2	2	no	—
443	C₃×C₄⋊C₄	—	2	2	no	—
444	C₃×C₄⋊C₄	—	2	2	no	—
445	C₃×C₄⋊C₄	—	2	2	no	—
446	C₃×C₄⋊C₄	—	2	2	no	—
447	C₃×C₄⋊C₄	—	2	4	no	—
448	C₃×C₄⋊C₄	—	2	2	no	—
449	C₃×C₄⋊C₄	—	4	2	no	—
450	C₃×C₄⋊C₄	—	4	1	no	—
451	C₃×C₄⋊C₄	—	4	1	no	—
452	C₃×C₄⋊C₄	—	4	1	no	—
453	C₃×C₄⋊C₄	—	4	1	no	—
454	C₃×C₄⋊C₄	—	4	2	no	—
455	C₃×C₄⋊C₄	—	4	2	no	—
456	C₃×C₄⋊C₄	—	4	2	no	—
457	C₃×C₄⋊C₄	—	4	2	no	—
458	C₃×C₄⋊C₄	—	4	2	no	—
459	C₃×C₄⋊C₄	—	4	2	no	—
460	C₃×C₄⋊C₄	—	4	2	no	—
461	C₃×C₂²⋊C₄	—	2	2	no	—
462	C₃×C₂²⋊C₄	—	2	2	no	—
463	C₃×C₂²⋊C₄	—	2	2	no	—
464	C₃×C₂²⋊C₄	—	2	2	no	—
465	C₃×C₂²⋊C₄	—	2	2	no	—
466	C₃×C₂²⋊C₄	—	2	4	no	—
467	C₃×C₂²⋊C₄	—	2	4	no	—
468	C₃×C₂²⋊C₄	—	2	2	no	—
469	C₃×C₂²⋊C₄	—	4	2	no	—
470	C₃×C₂²⋊C₄	—	4	2	no	—
471	C₃×C₂²⋊C₄	—	4	2	no	—
472	C₃×C₂²⋊C₄	—	4	2	no	—
473	C₃×C₂²⋊C₄	—	4	1	no	—
474	C₃×C₂²⋊C₄	—	4	2	no	—
475	C₃×C₂²⋊C₄	—	4	2	no	—
476	C₃×C₂²⋊C₄	—	4	1	no	—
477	C₃×C₂²⋊C₄	—	4	2	no	—
478	C₃×C₂²⋊C₄	—	4	1	no	—
479	C₃×C₂²⋊C₄	—	4	1	no	—
480	C₃×C₂²⋊C₄	—	4	2	no	—
481	C₃×C₂²⋊C₄	—	4	2	no	—
482	C₃×C₂²⋊C₄	—	4	1	no	—
483	C₃×C₂²⋊C₄	—	4	1	no	—
484	C₃×C₂²⋊C₄	—	4	2	no	—
485	C₃×C₂²⋊C₄	—	4	2	no	—
486	C₃×C₂²⋊C₄	—	4	2	no	—
487	C₃×C₂²⋊C₄	—	4	2	no	—
488	C₃×C₂²⋊C₄	—	4	2	no	—
489	C₃×C₂²⋊C₄	—	4	2	no	—
490	C₃×C₂²⋊C₄	—	4	2	no	—
491	C₃×C₂²⋊C₄	—	4	2	no	—
492	C₃×C₂²⋊C₄	—	4	2	no	—
493	C₃×C₂²⋊C₄	—	4	2	no	—
494	C₃×C₂²⋊C₄	—	4	2	no	—
495	C₃×C₂²⋊C₄	—	4	2	no	—
496	C₃×C₂²⋊C₄	—	4	2	no	—
497	C₃×C₂²⋊C₄	—	4	2	no	—
498	C₃×C₂²⋊C₄	—	4	2	no	—
499	C₃×C₄²	—	2	2	no	—
500	C₃×C₄²	—	2	2	no	—
501	C₃×C₄²	—	2	2	no	—
502	C₃×C₄²	—	2	2	no	—
503	C₃×C₄²	—	4	2	no	—
504	C₃×C₄²	—	4	2	no	—
505	C₃×C₄²	—	4	2	no	—
506	C₃×C₄²	—	4	2	no	—
507	C₂⁵	C₂³×C₃	1	2	yes	—
508	C₂²×D₄	—	2	4	no	—
509	C₂²×D₄	—	4	2	no	—
510	C₂²×D₄	—	4	2	no	—
511	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
512	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
513	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
514	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
515	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
516	C₂²×D₄	C₂³×C₃	1	2	yes	—
517	C₂²×D₄	C₂³×C₃	1	2	yes	—
518	C₂²×D₄	C₂³×C₃	1	2	yes	—
519	C₂²×D₄	C₂³×C₃	1	2	yes	—
520	C₂²×D₄	C₂³×C₃	1	2	yes	—
521	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
522	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
523	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
524	C₂³×C₄	C₂³×C₃	1	2	yes	—
525	#126	—	4	4	no	—
526	#125	—	4	2	no	—
527	#123	—	4	4	no	—
528	#123	—	4	4	no	—
529	#121	—	4	2	no	—
530	#121	—	4	2	no	—
531	#121	—	4	2	no	—
532	#121	—	4	2	no	—
533	#121	—	4	4	no	—
534	#120	—	4	4	no	—
535	#120	—	4	4	no	—
536	C₄×D₄	—	2	4	no	—
537	C₄×D₄	—	2	4	no	—
538	C₄×D₄	—	4	2	no	—
539	#117	—	4	2	no	—
540	#117	—	4	2	no	—
541	#117	—	4	2	no	—
542	C₂×C₄⋊C₄	—	4	2	no	—
543	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
544	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
545	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
546	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
547	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
548	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
549	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
550	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
551	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
552	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
553	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
554	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
555	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
557	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
558	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
559	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
560	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
561	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
562	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
563	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
564	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
565	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
566	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
567	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
568	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
569	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
570	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
571	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
572	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
573	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
574	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
575	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
576	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
577	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
578	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
579	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
580	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
581	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
582	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
583	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
584	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
585	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
586	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
587	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
588	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
589	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
590	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
591	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
592	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
593	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
594	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
595	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
596	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
597	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
598	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
599	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
600	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
601	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
602	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
603	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
604	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
605	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
606	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
607	C₂×C₄²	C₂³×C₃	1	2	yes	—
608	C₂×C₄²	C₂³×C₃	1	2	yes	—
609	C₂×C₄²	C₂³×C₃	1	2	yes	—
610	C₂×C₄²	C₂³×C₃	1	2	yes	—
611	#95	C₂³×C₃	1	2	yes	—
612	#95	C₂³×C₃	1	2	yes	—
613	#95	C₂³×C₃	1	1	yes	characteristic
614	#95	C₂³×C₃	1	1	yes	characteristic
615	#95	C₂³×C₃	1	1	yes	characteristic
616	#95	C₂³×C₃	1	1	yes	characteristic
617	#95	C₂³×C₃	1	2	yes	—
618	#95	C₂³×C₃	1	2	yes	—
619	#95	C₂³×C₃	1	2	yes	—
620	#95	C₂³×C₃	1	2	yes	—
621	#95	C₂³×C₃	1	1	yes	characteristic
622	#95	C₂³×C₃	1	1	yes	characteristic
623	#95	C₂³×C₃	1	2	yes	—
624	#95	C₂³×C₃	1	2	yes	—
625	#95	C₂³×C₃	1	2	yes	—
626	#95	C₂³×C₃	1	2	yes	—
627	C₂³×C₃	—	2	1	no	—
628	C₂³×C₃	—	2	1	no	—
629	C₂³×C₃	—	2	1	no	—
630	C₂³×C₃	—	2	1	no	—
631	C₂³×C₃	—	2	1	no	—
632	C₂³×C₃	—	2	1	no	—
633	C₂³×C₃	—	2	1	no	—
634	C₂³×C₃	—	2	1	no	—
635	C₂³×C₃	—	2	1	no	—
636	C₂³×C₃	—	2	1	no	—
637	C₂³×C₃	—	2	1	no	—
638	C₂³×C₃	—	2	1	no	—
639	C₂³×C₃	—	2	1	no	—
640	C₂³×C₃	—	2	2	no	—
641	C₂³×C₃	—	2	2	no	—
642	C₂³×C₃	—	2	2	no	—
643	C₂³×C₃	—	2	2	no	—
644	C₂³×C₃	—	2	2	no	—
645	C₂³×C₃	—	2	1	no	—
646	C₂³×C₃	—	2	1	no	—
647	C₂³×C₃	—	2	2	no	—
648	C₂³×C₃	—	2	1	no	—
649	C₂³×C₃	—	2	2	no	—
650	C₂³×C₃	—	2	2	no	—
651	C₂³×C₃	—	2	2	no	—
652	C₂³×C₃	—	2	2	no	—
653	C₂³×C₃	—	2	1	no	—
654	C₂³×C₃	—	2	2	no	—
655	C₂³×C₃	—	2	2	no	—
656	C₂³×C₃	—	2	1	no	—
657	C₂³×C₃	—	2	1	no	—
658	C₂³×C₃	—	2	2	no	—
659	C₂³×C₃	—	2	2	no	—
660	C₂³×C₃	—	4	8	no	—
661	C₂³×C₃	—	8	4	no	—
662	C₂³×C₃	—	8	4	no	—
663	C₂³×C₃	—	8	4	no	—
664	C₂³×C₃	—	8	4	no	—
665	C₂³×C₃	—	8	4	no	—
666	C₂³×C₃	—	8	4	no	—
667	C₂³×C₃	C₂×#41	1	2	yes	—
668	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
669	C₂³×C₃	C₂⁵	1	1	yes	characteristic
670	C₃×D₄	—	4	4	no	—
671	C₃×D₄	—	4	8	no	—
672	C₃×D₄	—	4	4	no	—
673	C₃×D₄	—	4	4	no	—
674	C₃×D₄	—	4	4	no	—
675	C₃×D₄	—	4	4	no	—
676	C₃×D₄	—	8	4	no	—
677	C₃×D₄	—	8	4	no	—
678	C₃×D₄	—	8	4	no	—
679	C₃×D₄	—	8	4	no	—
680	C₂×C₃×C₄	—	2	1	no	—
681	C₂×C₃×C₄	—	2	1	no	—
682	C₂×C₃×C₄	—	2	1	no	—
683	C₂×C₃×C₄	—	2	1	no	—
684	C₂×C₃×C₄	—	2	8	no	—
685	C₂×C₃×C₄	—	2	1	no	—
686	C₂×C₃×C₄	—	2	1	no	—
687	C₂×C₃×C₄	—	2	1	no	—
688	C₂×C₃×C₄	—	2	1	no	—
689	C₂×C₃×C₄	—	2	1	no	—
690	C₂×C₃×C₄	—	2	1	no	—
691	C₂×C₃×C₄	—	2	1	no	—
692	C₂×C₃×C₄	—	2	1	no	—
693	C₂×C₃×C₄	—	2	1	no	—
694	C₂×C₃×C₄	—	2	1	no	—
695	C₂×C₃×C₄	—	2	2	no	—
696	C₂×C₃×C₄	—	2	1	no	—
697	C₂×C₃×C₄	—	2	2	no	—
698	C₂×C₃×C₄	—	2	2	no	—
699	C₂×C₃×C₄	—	2	2	no	—
700	C₂×C₃×C₄	—	2	2	no	—
701	C₂×C₃×C₄	—	2	1	no	—
702	C₂×C₃×C₄	—	2	1	no	—
703	C₂×C₃×C₄	—	2	1	no	—
704	C₂×C₃×C₄	—	2	2	no	—
705	C₂×C₃×C₄	—	2	1	no	—
706	C₂×C₃×C₄	—	2	1	no	—
707	C₂×C₃×C₄	—	2	1	no	—
708	C₂×C₃×C₄	—	2	2	no	—
709	C₂×C₃×C₄	—	2	2	no	—
710	C₂×C₃×C₄	—	2	1	no	—
711	C₂×C₃×C₄	—	2	1	no	—
712	C₂×C₃×C₄	—	2	1	no	—
713	C₂×C₃×C₄	—	2	2	no	—
714	C₂×C₃×C₄	—	2	2	no	—
715	C₂×C₃×C₄	—	2	2	no	—
716	C₂×C₃×C₄	—	2	2	no	—
717	C₂×C₃×C₄	—	2	2	no	—
718	C₂×C₃×C₄	—	2	2	no	—
719	C₂×C₃×C₄	—	2	2	no	—
720	C₂×C₃×C₄	—	2	2	no	—
721	C₂×C₃×C₄	—	2	1	no	—
722	C₂×C₃×C₄	—	2	1	no	—
723	C₂×C₃×C₄	—	2	1	no	—
724	C₂×C₃×C₄	—	2	2	no	—
725	C₂×C₃×C₄	—	2	1	no	—
726	C₂×C₃×C₄	—	2	1	no	—
727	C₂×C₃×C₄	—	2	1	no	—
728	C₂×C₃×C₄	—	2	2	no	—
729	C₂×C₃×C₄	—	2	1	no	—
730	C₂×C₃×C₄	—	4	4	no	—
731	C₂×C₃×C₄	—	4	4	no	—
732	C₂×C₃×C₄	—	8	4	no	—
733	C₂×C₃×C₄	C₂×#41	1	2	yes	—
734	C₂×C₃×C₄	C₂×#41	1	2	yes	—
735	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
736	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
737	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
738	C₂⁴	—	2	4	no	—
739	C₂⁴	—	4	2	no	—
740	C₂⁴	—	4	2	no	—
741	C₂⁴	—	4	2	no	—
742	C₂⁴	—	4	2	no	—
743	C₂⁴	—	4	2	no	—
744	C₂⁴	—	4	2	no	—
745	C₂⁴	C₂⁴×C₃	1	2	yes	—
746	C₂⁴	C₂⁴×C₃	1	2	yes	—
747	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
748	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
749	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
750	C₂×D₄	—	2	2	no	—
751	C₂×D₄	—	2	2	no	—
752	C₂×D₄	—	2	2	no	—
753	C₂×D₄	—	2	2	no	—
754	C₂×D₄	—	2	4	no	—
755	C₂×D₄	—	2	4	no	—
756	C₂×D₄	—	2	4	no	—
757	C₂×D₄	—	2	2	no	—
758	C₂×D₄	—	2	2	no	—
759	C₂×D₄	—	2	2	no	—
760	C₂×D₄	—	2	2	no	—
761	C₂×D₄	—	2	2	no	—
762	C₂×D₄	—	2	2	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	4	1	no	—
765	C₂×D₄	—	4	2	no	—
766	C₂×D₄	—	4	2	no	—
767	C₂×D₄	—	4	1	no	—
768	C₂×D₄	—	4	1	no	—
769	C₂×D₄	—	4	1	no	—
770	C₂×D₄	—	4	16	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	2	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	—	4	2	no	—
775	C₂×D₄	—	4	2	no	—
776	C₂×D₄	—	4	2	no	—
777	C₂×D₄	—	4	2	no	—
778	C₂×D₄	—	4	2	no	—
779	C₂×D₄	—	4	2	no	—
780	C₂×D₄	—	4	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	4	no	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	2	no	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	4	2	no	—
791	C₂²×C₄	—	4	2	no	—
792	C₂²×C₄	C₃×#41	1	4	yes	—
793	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
795	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
797	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
798	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
800	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
801	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
803	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
804	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
805	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
806	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
807	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
808	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
811	C₄⋊C₄	—	2	2	no	—
812	C₄⋊C₄	—	2	2	no	—
813	C₄⋊C₄	—	2	2	no	—
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	2	no	—
819	C₄⋊C₄	—	2	4	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	4	2	no	—
822	C₄⋊C₄	—	4	1	no	—
823	C₄⋊C₄	—	4	1	no	—
824	C₄⋊C₄	—	4	1	no	—
825	C₄⋊C₄	—	4	2	no	—
826	C₄⋊C₄	—	4	2	no	—
827	C₄⋊C₄	—	4	2	no	—
828	C₄⋊C₄	—	4	2	no	—
829	C₄⋊C₄	—	4	2	no	—
830	C₄⋊C₄	—	4	2	no	—
831	C₄⋊C₄	—	4	2	no	—
832	C₄⋊C₄	—	4	1	no	—
833	C₂²⋊C₄	—	2	2	no	—
834	C₂²⋊C₄	—	2	2	no	—
835	C₂²⋊C₄	—	2	2	no	—
836	C₂²⋊C₄	—	2	2	no	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	4	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	4	1	no	—
842	C₂²⋊C₄	—	4	1	no	—
843	C₂²⋊C₄	—	4	2	no	—
844	C₂²⋊C₄	—	4	2	no	—
845	C₂²⋊C₄	—	4	1	no	—
846	C₂²⋊C₄	—	4	1	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	4	2	no	—
850	C₂²⋊C₄	—	4	2	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	—	4	2	no	—
854	C₂²⋊C₄	—	4	2	no	—
855	C₂²⋊C₄	—	4	2	no	—
856	C₂²⋊C₄	—	4	2	no	—
857	C₂²⋊C₄	—	4	2	no	—
858	C₂²⋊C₄	—	4	2	no	—
859	C₂²⋊C₄	—	4	2	no	—
860	C₂²⋊C₄	—	4	2	no	—
861	C₂²⋊C₄	—	4	2	no	—
862	C₂²⋊C₄	—	4	2	no	—
863	C₂²⋊C₄	—	4	2	no	—
864	C₂²⋊C₄	—	4	2	no	—
865	C₂²⋊C₄	—	4	2	no	—
866	C₂²⋊C₄	—	4	1	no	—
867	C₂²⋊C₄	—	4	2	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	—	4	1	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₄²	—	2	2	no	—
872	C₄²	—	2	2	no	—
873	C₄²	—	2	2	no	—
874	C₄²	—	2	2	no	—
875	C₄²	—	4	2	no	—
876	C₄²	—	4	2	no	—
877	C₄²	—	4	2	no	—
878	C₄²	—	4	2	no	—
879	C₂²×C₃	—	2	2	no	—
880	C₂²×C₃	—	2	2	no	—
881	C₂²×C₃	—	2	2	no	—
882	C₂²×C₃	—	2	2	no	—
883	C₂²×C₃	—	2	2	no	—
884	C₂²×C₃	—	2	2	no	—
885	C₂²×C₃	—	4	1	no	—
886	C₂²×C₃	—	4	1	no	—
887	C₂²×C₃	—	4	1	no	—
888	C₂²×C₃	—	4	1	no	—
889	C₂²×C₃	—	4	1	no	—
890	C₂²×C₃	—	4	1	no	—
891	C₂²×C₃	—	4	1	no	—
892	C₂²×C₃	—	4	1	no	—
893	C₂²×C₃	—	4	1	no	—
894	C₂²×C₃	—	4	2	no	—
895	C₂²×C₃	—	4	2	no	—
896	C₂²×C₃	—	4	1	no	—
897	C₂²×C₃	—	4	1	no	—
898	C₂²×C₃	—	4	2	no	—
899	C₂²×C₃	—	4	2	no	—
900	C₂²×C₃	—	4	2	no	—
901	C₂²×C₃	—	4	2	no	—
902	C₂²×C₃	—	4	1	no	—
903	C₂²×C₃	—	4	2	no	—
904	C₂²×C₃	—	4	2	no	—
905	C₂²×C₃	—	4	1	no	—
906	C₂²×C₃	—	4	2	no	—
907	C₂²×C₃	—	4	2	no	—
908	C₂²×C₃	—	4	1	no	—
909	C₂²×C₃	—	4	2	no	—
910	C₂²×C₃	—	4	2	no	—
911	C₂²×C₃	—	4	1	no	—
912	C₂²×C₃	—	4	2	no	—
913	C₂²×C₃	—	4	2	no	—
914	C₂²×C₃	—	8	16	no	—
915	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
916	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
917	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
918	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
919	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
920	C₂²×C₃	#585	1	1	yes	characteristic
921	C₂²×C₃	#585	1	1	yes	characteristic
922	C₃×C₄	—	2	2	no	—
923	C₃×C₄	—	2	2	no	—
924	C₃×C₄	—	4	1	no	—
925	C₃×C₄	—	4	1	no	—
926	C₃×C₄	—	4	1	no	—
927	C₃×C₄	—	4	1	no	—
928	C₃×C₄	—	4	1	no	—
929	C₃×C₄	—	4	1	no	—
930	C₃×C₄	—	4	1	no	—
931	C₃×C₄	—	4	2	no	—
932	C₃×C₄	—	4	2	no	—
933	C₃×C₄	—	4	2	no	—
934	C₃×C₄	—	4	2	no	—
935	C₃×C₄	—	4	1	no	—
936	C₃×C₄	—	4	1	no	—
937	C₃×C₄	—	4	2	no	—
938	C₃×C₄	—	4	2	no	—
939	C₃×C₄	#538	1	4	yes	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	1	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	1	no	—
962	C₂³	—	2	2	no	—
963	C₂³	—	2	2	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	1	no	—
967	C₂³	—	2	2	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	1	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	4	8	no	—
974	C₂³	—	8	4	no	—
975	C₂³	—	8	4	no	—
976	C₂³	—	8	4	no	—
977	C₂³	—	8	4	no	—
978	C₂³	—	8	4	no	—
979	C₂³	—	8	4	no	—
980	C₂³	C₂×C₃×#41	1	2	yes	—
981	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
982	C₂³	C₂⁵×C₃	1	1	yes	characteristic
983	D₄	—	4	4	no	—
984	D₄	—	4	8	no	—
985	D₄	—	4	4	no	—
986	D₄	—	4	4	no	—
987	D₄	—	4	4	no	—
988	D₄	—	4	4	no	—
989	D₄	—	8	4	no	—
990	D₄	—	8	4	no	—
991	D₄	—	8	4	no	—
992	D₄	—	8	4	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	8	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	—	4	4	no	—
1045	C₂×C₄	—	8	4	no	—
1046	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1047	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1048	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1049	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1050	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1051	C₂×C₃	—	4	2	no	—
1052	C₂×C₃	—	4	2	no	—
1053	C₂×C₃	—	8	1	no	—
1054	C₂×C₃	—	8	2	no	—
1055	C₂×C₃	—	8	2	no	—
1056	C₂×C₃	C₂×#538	1	1	yes	characteristic
1057	C₂×C₃	#3494	1	1	yes	characteristic
1058	C₂×C₃	#3494	1	1	yes	characteristic
1059	C₂×C₃	#3542	1	1	yes	characteristic
1060	C₂×C₃	#3543	1	1	yes	characteristic
1061	C₂×C₃	#3546	1	1	yes	characteristic
1062	C₂×C₃	#3562	1	1	yes	characteristic
1063	C₂²	—	2	2	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	2	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	1	no	—
1071	C₂²	—	4	1	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	2	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	8	16	no	—
1099	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1100	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1101	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1102	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1103	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1104	C₂²	C₃×#585	1	1	yes	characteristic
1105	C₂²	C₃×#585	1	1	yes	characteristic
1106	C₄	—	2	2	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	2	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	2	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	2	no	—
1123	C₄	C₃×#538	1	4	yes	—
1124	C₃	#42974	1	1	yes	characteristic, direct product factor, Sylow
1125	C₂	—	4	2	no	—
1126	C₂	—	4	2	no	—
1127	C₂	—	8	2	no	—
1128	C₂	—	8	2	no	—
1129	C₂	—	8	1	no	—
1130	C₂	C₂×C₃×#538	1	1	yes	characteristic
1131	C₂	C₃×#3494	1	1	yes	characteristic
1132	C₂	C₃×#3494	1	1	yes	characteristic
1133	C₂	C₃×#3542	1	1	yes	characteristic
1134	C₂	C₃×#3543	1	1	yes	characteristic
1135	C₂	C₃×#3546	1	1	yes	characteristic
1136	C₂	C₃×#3562	1	1	yes	characteristic

	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. C₃×#2829	C₂	semidirect
2. C₃×#2735	C₂	semidirect
3. C₃×#2697	C₂	semidirect
4. C₃×#2685	C₂	semidirect
5. C₃×#2678	C₂	semidirect
6. C₃×#2661	C₂	semidirect
7. C₃×#2651	C₂	semidirect
8. C₃×#2629	C₂	semidirect
9. C₃×#2554	C₂	semidirect
10. C₃×#2513	C₂	semidirect
11. C₃×#2512	C₂	semidirect
12. C₃×#2501	C₂	semidirect
13. C₃×#2500	C₂	semidirect
14. C₃×#2490	C₂	semidirect
15. C₃×#2490	C₂	semidirect
16. C₃×#2416	C₂	semidirect
17. C₃×#2414	C₂	semidirect
18. C₃×#2408	C₂	semidirect
19. C₃×#2408	C₂	semidirect
20. C₃×#2392	C₂	semidirect
21. C₃×#2354	C₂	semidirect
22. C₃×#2352	C₂	semidirect
23. C₃×#2309	C₂	semidirect
24. #42974	C₃	direct (N × H)
26. C₂×C₃×#126	C₂²	semidirect
27. C₂×C₃×#125	C₂²	semidirect
28. C₂×C₃×#123	C₂²	semidirect
29. C₂×C₃×#123	C₂²	semidirect
34. C₂×C₃×#121	C₂²	semidirect
39. C₂×C₃×C₄×D₄	C₂²	semidirect
42. C₂×C₃×#117	C₂²	semidirect
43. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
44. C₃×#399	C₂²	semidirect
45. C₃×#399	C₂²	semidirect
46. C₃×#398	C₂²	semidirect
47. C₃×#398	C₂²	semidirect
48. C₃×#398	C₂²	semidirect
50. C₃×#397	C₂²	semidirect
51. C₃×#397	C₂²	semidirect
52. C₃×#397	C₂²	semidirect
53. C₃×#397	C₂²	semidirect
54. C₃×#397	C₂²	semidirect
57. C₃×#396	C₂²	semidirect
58. C₃×#396	C₂²	semidirect
59. C₃×#396	C₂²	semidirect
60. C₃×#396	C₂²	semidirect
65. C₃×#394	C₂²	semidirect
66. C₃×#394	C₂²	semidirect
67. C₃×#394	C₂²	semidirect
68. C₃×#394	C₂²	semidirect
69. C₃×#394	C₂²	semidirect
70. C₃×#394	C₂²	semidirect
71. C₃×#394	C₂²	semidirect
75. C₃×#392	C₂²	semidirect
87. C₃×#390	C₂²	semidirect
88. C₃×#390	C₂²	semidirect
89. C₃×#390	C₂²	semidirect
90. C₃×#389	C₂²	semidirect
91. C₃×#389	C₂²	semidirect
94. C₃×#388	C₂²	semidirect
95. C₃×#388	C₂²	semidirect
96. C₃×#388	C₂²	semidirect
97. C₃×#388	C₂²	semidirect
98. C₃×#388	C₂²	semidirect
99. C₃×#388	C₂²	semidirect
100. C₃×#388	C₂²	semidirect
101. C₃×#388	C₂²	semidirect
102. C₃×#388	C₂²	semidirect
103. C₃×#387	C₂²	semidirect
105. C₃×#386	C₂²	semidirect
106. C₃×#384	C₂²	semidirect
107. C₃×#384	C₂²	semidirect
108. C₃×#382	C₂²	semidirect
111. C₃×#380	C₂²	semidirect
112. C₃×#380	C₂²	semidirect
117. C₃×C₄×C₄⋊C₄	C₂²	semidirect
118. C₃×C₄×C₄⋊C₄	C₂²	semidirect
119. C₃×C₄×C₄⋊C₄	C₂²	semidirect
120. C₃×C₄×C₄⋊C₄	C₂²	semidirect
121. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
122. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
123. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
124. #2829	C₂×C₃	semidirect
125. #2735	C₂×C₃	semidirect
126. #2697	C₂×C₃	semidirect
127. #2685	C₂×C₃	semidirect
128. #2678	C₂×C₃	semidirect
129. #2661	C₂×C₃	semidirect
130. #2651	C₂×C₃	semidirect
131. #2629	C₂×C₃	semidirect
132. #2554	C₂×C₃	semidirect
133. #2513	C₂×C₃	semidirect
134. #2512	C₂×C₃	semidirect
135. #2501	C₂×C₃	semidirect
136. #2500	C₂×C₃	semidirect
137. #2490	C₂×C₃	semidirect
138. #2490	C₂×C₃	semidirect
139. #2416	C₂×C₃	semidirect
140. #2414	C₂×C₃	semidirect
141. #2408	C₂×C₃	semidirect
142. #2408	C₂×C₃	semidirect
143. #2392	C₂×C₃	semidirect
144. #2354	C₂×C₃	semidirect
145. #2352	C₂×C₃	semidirect
146. #2309	C₂×C₃	semidirect
268. C₂×#126	C₂²×C₃	semidirect
269. C₂×#125	C₂²×C₃	semidirect
270. C₂×#123	C₂²×C₃	semidirect
271. C₂×#123	C₂²×C₃	semidirect
276. C₂×#121	C₂²×C₃	semidirect
281. C₂×C₄×D₄	C₂²×C₃	semidirect
284. C₂×#117	C₂²×C₃	semidirect
285. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
286. #399	C₂²×C₃	semidirect
287. #399	C₂²×C₃	semidirect
288. #398	C₂²×C₃	semidirect
289. #398	C₂²×C₃	semidirect
290. #398	C₂²×C₃	semidirect
292. #397	C₂²×C₃	semidirect
293. #397	C₂²×C₃	semidirect
294. #397	C₂²×C₃	semidirect
295. #397	C₂²×C₃	semidirect
296. #397	C₂²×C₃	semidirect
299. #396	C₂²×C₃	semidirect
300. #396	C₂²×C₃	semidirect
301. #396	C₂²×C₃	semidirect
302. #396	C₂²×C₃	semidirect
307. #394	C₂²×C₃	semidirect
308. #394	C₂²×C₃	semidirect
309. #394	C₂²×C₃	semidirect
310. #394	C₂²×C₃	semidirect
311. #394	C₂²×C₃	semidirect
312. #394	C₂²×C₃	semidirect
313. #394	C₂²×C₃	semidirect
317. #392	C₂²×C₃	semidirect
329. #390	C₂²×C₃	semidirect
330. #390	C₂²×C₃	semidirect
331. #390	C₂²×C₃	semidirect
332. #389	C₂²×C₃	semidirect
333. #389	C₂²×C₃	semidirect
336. #388	C₂²×C₃	semidirect
337. #388	C₂²×C₃	semidirect
338. #388	C₂²×C₃	semidirect
339. #388	C₂²×C₃	semidirect
340. #388	C₂²×C₃	semidirect
341. #388	C₂²×C₃	semidirect
342. #388	C₂²×C₃	semidirect
343. #388	C₂²×C₃	semidirect
344. #388	C₂²×C₃	semidirect
345. #387	C₂²×C₃	semidirect
347. #386	C₂²×C₃	semidirect
348. #384	C₂²×C₃	semidirect
349. #384	C₂²×C₃	semidirect
350. #382	C₂²×C₃	semidirect
353. #380	C₂²×C₃	semidirect
354. #380	C₂²×C₃	semidirect
359. C₄×C₄⋊C₄	C₂²×C₃	semidirect
360. C₄×C₄⋊C₄	C₂²×C₃	semidirect
361. C₄×C₄⋊C₄	C₂²×C₃	semidirect
362. C₄×C₄⋊C₄	C₂²×C₃	semidirect
363. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
364. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
365. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
1124. C₃	#42974	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#2829	2
C₃×#2735	2
C₃×#2697	2
C₃×#2685	2
C₃×#2678	2
C₃×#2661	2
C₃×#2651	2
C₃×#2629	2
C₃×#2554	2
C₃×#2513	2
C₃×#2512	2
C₃×#2501	2
C₃×#2500	2
C₃×#2490	2
C₃×#2416	2
C₃×#2414	2
C₃×#2408	2
C₃×#2392	2
C₃×#2354	2
C₃×#2352	2
C₃×#2309	2
#42974	3

Subgroups — C3×#42974 #10661581

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#42974 #10661581