Subgroups — C₃×#36190 #10654797

Order 768.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2857	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2855	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2848	C₂	1	1	yes	maximal, characteristic
4	C₃×#2574	C₂	1	2	yes	maximal, complemented
5	C₃×#2569	C₂	1	2	yes	maximal, complemented
6	C₃×#2522	C₂	1	2	yes	maximal, complemented
7	C₃×#2505	C₂	1	2	yes	maximal, complemented
8	C₃×#2502	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2497	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2497	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2492	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2440	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2438	C₂	1	2	yes	maximal, complemented
14	C₃×#2437	C₂	1	2	yes	maximal
15	C₃×#2423	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2368	C₂	1	2	yes	maximal, complemented
17	C₃×#2360	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2345	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2342	C₂	1	2	yes	maximal
20	C₃×C₄×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2285	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₃×#380	C₂	1	1	yes	maximal, characteristic
23	C₂×C₃×C₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
24	#36190	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂⁴×C₃×C₄	C₂²	1	1	yes	characteristic
26	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	—
29	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
31	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	—
32	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃×#117	C₂²	1	2	yes	—
34	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
36	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
37	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
38	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
40	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
41	C₃×#400	C₂²	1	2	yes	complemented
42	C₃×#400	C₂²	1	2	yes	complemented
43	C₃×#400	C₂²	1	2	yes	complemented
44	C₃×#399	C₂²	1	2	yes	—
45	C₃×#398	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	2	yes	complemented
49	C₃×#396	C₂²	1	2	yes	—
50	C₃×#396	C₂²	1	2	yes	—
51	C₃×#395	C₂²	1	2	yes	complemented
52	C₃×#393	C₂²	1	2	yes	—
53	C₃×#391	C₂²	1	1	yes	characteristic, complemented
54	C₃×#391	C₂²	1	2	yes	complemented
55	C₃×#391	C₂²	1	2	yes	complemented
56	C₃×#391	C₂²	1	1	yes	characteristic, complemented
57	C₃×#391	C₂²	1	1	yes	characteristic, complemented
58	C₃×#389	C₂²	1	2	yes	complemented
59	C₃×#389	C₂²	1	1	yes	characteristic, complemented
60	C₃×#389	C₂²	1	1	yes	characteristic, complemented
61	C₃×#389	C₂²	1	1	yes	characteristic, complemented
62	C₃×#389	C₂²	1	1	yes	characteristic, complemented
63	C₃×#389	C₂²	1	1	yes	characteristic, complemented
64	C₃×#389	C₂²	1	2	yes	complemented
65	C₃×#388	C₂²	1	2	yes	—
66	C₃×#388	C₂²	1	2	yes	—
67	C₃×#388	C₂²	1	2	yes	—
68	C₃×#388	C₂²	1	2	yes	—
69	C₃×#387	C₂²	1	2	yes	complemented
70	C₃×#387	C₂²	1	2	yes	complemented
71	C₃×#387	C₂²	1	2	yes	complemented
72	C₃×#387	C₂²	1	2	yes	complemented
73	C₃×#387	C₂²	1	2	yes	complemented
74	C₃×#387	C₂²	1	2	yes	complemented
75	C₃×#387	C₂²	1	2	yes	complemented
76	C₃×#387	C₂²	1	2	yes	complemented
77	C₃×#387	C₂²	1	2	yes	complemented
78	C₃×#385	C₂²	1	2	yes	—
79	C₃×#385	C₂²	1	2	yes	—
80	C₃×#385	C₂²	1	2	yes	—
81	C₃×#385	C₂²	1	2	yes	—
82	C₃×#385	C₂²	1	2	yes	—
83	C₃×#385	C₂²	1	2	yes	—
84	C₃×#385	C₂²	1	2	yes	—
85	C₃×#385	C₂²	1	2	yes	—
86	C₃×#385	C₂²	1	2	yes	—
87	C₃×#384	C₂²	1	1	yes	characteristic, complemented
88	C₃×#384	C₂²	1	1	yes	characteristic, complemented
89	C₃×#384	C₂²	1	1	yes	characteristic, complemented
90	C₃×#382	C₂²	1	2	yes	complemented
91	C₃×#381	C₂²	1	2	yes	—
92	C₃×#380	C₂²	1	1	yes	characteristic
93	C₃×#380	C₂²	1	2	yes	—
94	C₃×#380	C₂²	1	2	yes	—
95	C₃×#380	C₂²	1	2	yes	—
96	C₃×#380	C₂²	1	1	yes	characteristic
97	C₃×#380	C₂²	1	1	yes	characteristic
98	C₃×#380	C₂²	1	1	yes	characteristic
99	C₃×#380	C₂²	1	2	yes	—
100	C₃×#380	C₂²	1	1	yes	characteristic
101	C₃×#380	C₂²	1	1	yes	characteristic
102	C₃×#380	C₂²	1	1	yes	characteristic
103	C₃×#380	C₂²	1	2	yes	—
104	C₃×#379	C₂²	1	2	yes	—
105	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
106	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
107	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
108	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
109	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
110	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
111	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
112	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
113	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
114	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
120	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₂×C₃×#95	C₂²	1	2	yes	—
122	C₂×C₃×#95	C₂²	1	1	yes	characteristic
123	C₂×C₃×#95	C₂²	1	1	yes	characteristic
124	#2857	C₂×C₃	1	1	yes	characteristic, complemented
125	#2855	C₂×C₃	1	1	yes	characteristic, complemented
126	#2848	C₂×C₃	1	1	yes	characteristic
127	#2574	C₂×C₃	1	2	yes	complemented
128	#2569	C₂×C₃	1	2	yes	complemented
129	#2522	C₂×C₃	1	2	yes	complemented
130	#2505	C₂×C₃	1	2	yes	complemented
131	#2502	C₂×C₃	1	1	yes	characteristic, complemented
132	#2497	C₂×C₃	1	1	yes	characteristic, complemented
133	#2497	C₂×C₃	1	1	yes	characteristic, complemented
134	#2492	C₂×C₃	1	1	yes	characteristic, complemented
135	#2440	C₂×C₃	1	1	yes	characteristic, complemented
136	#2438	C₂×C₃	1	2	yes	complemented
137	#2437	C₂×C₃	1	2	yes	—
138	#2423	C₂×C₃	1	1	yes	characteristic, complemented
139	#2368	C₂×C₃	1	2	yes	complemented
140	#2360	C₂×C₃	1	1	yes	characteristic, complemented
141	#2345	C₂×C₃	1	1	yes	characteristic, complemented
142	#2342	C₂×C₃	1	2	yes	—
143	C₄×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
144	#2285	C₂×C₃	1	1	yes	characteristic, complemented
145	C₂×#380	C₂×C₃	1	1	yes	characteristic
146	C₂×C₄×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic
147	C₂⁵×C₃	C₂³	1	1	yes	characteristic
148	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
149	C₂²×C₃×Q₈	C₂³	1	2	yes	—
150	C₂³×C₃×C₄	—	2	4	no	—
151	C₂³×C₃×C₄	—	2	4	no	—
152	C₂³×C₃×C₄	—	4	2	no	—
153	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
154	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
155	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
156	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
157	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
158	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
159	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
160	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
161	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
162	C₂³×C₃×C₄	C₂³	1	2	yes	—
163	C₂³×C₃×C₄	C₂³	1	2	yes	—
164	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
165	C₃×C₄⋊Q₈	—	4	2	no	—
166	C₃×C₂²⋊Q₈	—	2	4	no	—
167	C₃×C₂²⋊Q₈	—	2	4	no	—
168	C₃×C₂²⋊Q₈	—	2	8	no	—
169	C₃×C₂²⋊Q₈	—	4	4	no	—
170	C₃×C₂²⋊Q₈	—	4	2	no	—
171	C₃×C₄×Q₈	—	4	2	no	—
172	C₃×#117	—	4	4	no	—
173	C₂×C₃×C₄⋊C₄	—	2	4	no	—
174	C₂×C₃×C₄⋊C₄	—	4	2	no	—
175	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
187	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
188	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
189	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
190	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
191	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
192	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
199	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
201	C₂×C₃×C₂²⋊C₄	—	4	4	no	—
202	C₂×C₃×C₂²⋊C₄	Q₈	1	8	yes	complemented
203	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
215	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
220	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₃×C₄²	—	2	4	no	—
222	C₂×C₃×C₄²	—	4	2	no	—
223	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
224	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
225	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
226	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
227	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄²	C₂³	1	2	yes	—
230	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄²	C₂³	1	2	yes	—
232	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄²	C₂³	1	2	yes	—
234	C₂×C₃×C₄²	C₂³	1	2	yes	—
235	C₃×#95	C₂³	1	1	yes	characteristic
236	C₃×#95	C₂³	1	1	yes	characteristic
237	C₃×#95	C₂³	1	1	yes	characteristic
238	C₃×#95	C₂³	1	1	yes	characteristic
239	C₃×#95	C₂³	1	1	yes	characteristic
240	C₃×#95	C₂³	1	1	yes	characteristic
241	C₃×#95	C₂³	1	1	yes	characteristic
242	C₃×#95	C₂³	1	1	yes	characteristic
243	C₃×#95	C₂³	1	2	yes	—
244	C₃×#95	C₂³	1	2	yes	—
245	C₃×#95	C₂³	1	2	yes	—
246	C₃×#95	C₂³	1	2	yes	—
247	C₃×#95	C₂³	1	2	yes	—
248	C₃×#95	C₂³	1	2	yes	—
249	C₃×#95	C₂³	1	2	yes	—
250	C₃×#95	C₂³	1	2	yes	—
251	C₃×#95	C₂³	1	2	yes	—
252	C₃×#95	C₂³	1	2	yes	—
253	C₃×#95	C₂³	1	2	yes	—
254	C₃×#95	C₂³	1	2	yes	—
255	C₃×#95	C₂³	1	2	yes	—
256	C₃×#95	C₂³	1	2	yes	—
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	2	yes	—
262	C₃×#95	C₂³	1	2	yes	—
263	C₃×#95	C₂³	1	2	yes	—
264	C₂⁴×C₄	C₂²×C₃	1	1	yes	characteristic
265	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
266	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
267	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
268	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
269	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
270	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
271	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
272	C₂×#117	C₂²×C₃	1	2	yes	—
273	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
274	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
275	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
276	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
277	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
278	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
279	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
280	#400	C₂²×C₃	1	2	yes	complemented
281	#400	C₂²×C₃	1	2	yes	complemented
282	#400	C₂²×C₃	1	2	yes	complemented
283	#399	C₂²×C₃	1	2	yes	—
284	#398	C₂²×C₃	1	2	yes	complemented
285	#398	C₂²×C₃	1	2	yes	complemented
286	#398	C₂²×C₃	1	2	yes	complemented
287	#398	C₂²×C₃	1	2	yes	complemented
288	#396	C₂²×C₃	1	2	yes	—
289	#396	C₂²×C₃	1	2	yes	—
290	#395	C₂²×C₃	1	2	yes	complemented
291	#393	C₂²×C₃	1	2	yes	—
292	#391	C₂²×C₃	1	2	yes	complemented
293	#391	C₂²×C₃	1	1	yes	characteristic, complemented
294	#391	C₂²×C₃	1	1	yes	characteristic, complemented
295	#391	C₂²×C₃	1	2	yes	complemented
296	#391	C₂²×C₃	1	1	yes	characteristic, complemented
297	#389	C₂²×C₃	1	1	yes	characteristic, complemented
298	#389	C₂²×C₃	1	1	yes	characteristic, complemented
299	#389	C₂²×C₃	1	1	yes	characteristic, complemented
300	#389	C₂²×C₃	1	1	yes	characteristic, complemented
301	#389	C₂²×C₃	1	2	yes	complemented
302	#389	C₂²×C₃	1	2	yes	complemented
303	#389	C₂²×C₃	1	1	yes	characteristic, complemented
304	#388	C₂²×C₃	1	2	yes	—
305	#388	C₂²×C₃	1	2	yes	—
306	#388	C₂²×C₃	1	2	yes	—
307	#388	C₂²×C₃	1	2	yes	—
308	#387	C₂²×C₃	1	2	yes	complemented
309	#387	C₂²×C₃	1	2	yes	complemented
310	#387	C₂²×C₃	1	2	yes	complemented
311	#387	C₂²×C₃	1	2	yes	complemented
312	#387	C₂²×C₃	1	2	yes	complemented
313	#387	C₂²×C₃	1	2	yes	complemented
314	#387	C₂²×C₃	1	2	yes	complemented
315	#387	C₂²×C₃	1	2	yes	complemented
316	#387	C₂²×C₃	1	2	yes	complemented
317	#385	C₂²×C₃	1	2	yes	—
318	#385	C₂²×C₃	1	2	yes	—
319	#385	C₂²×C₃	1	2	yes	—
320	#385	C₂²×C₃	1	2	yes	—
321	#385	C₂²×C₃	1	2	yes	—
322	#385	C₂²×C₃	1	2	yes	—
323	#385	C₂²×C₃	1	2	yes	—
324	#385	C₂²×C₃	1	2	yes	—
325	#385	C₂²×C₃	1	2	yes	—
326	#384	C₂²×C₃	1	1	yes	characteristic, complemented
327	#384	C₂²×C₃	1	1	yes	characteristic, complemented
328	#384	C₂²×C₃	1	1	yes	characteristic, complemented
329	#382	C₂²×C₃	1	2	yes	complemented
330	#381	C₂²×C₃	1	2	yes	—
331	#380	C₂²×C₃	1	2	yes	—
332	#380	C₂²×C₃	1	2	yes	—
333	#380	C₂²×C₃	1	2	yes	—
334	#380	C₂²×C₃	1	2	yes	—
335	#380	C₂²×C₃	1	1	yes	characteristic
336	#380	C₂²×C₃	1	1	yes	characteristic
337	#380	C₂²×C₃	1	1	yes	characteristic
338	#380	C₂²×C₃	1	1	yes	characteristic
339	#380	C₂²×C₃	1	2	yes	—
340	#380	C₂²×C₃	1	1	yes	characteristic
341	#380	C₂²×C₃	1	1	yes	characteristic
342	#380	C₂²×C₃	1	1	yes	characteristic
343	#379	C₂²×C₃	1	2	yes	—
344	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
345	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
346	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
348	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
349	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
350	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
351	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
352	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
353	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
354	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
355	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
356	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
357	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
358	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
359	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
360	C₂×#95	C₂²×C₃	1	1	yes	characteristic
361	C₂×#95	C₂²×C₃	1	2	yes	—
362	C₂×#95	C₂²×C₃	1	1	yes	characteristic
363	C₂⁴×C₃	—	2	2	no	—
364	C₂⁴×C₃	—	2	2	no	—
365	C₂⁴×C₃	—	2	2	no	—
366	C₂⁴×C₃	—	2	2	no	—
367	C₂⁴×C₃	—	4	1	no	—
368	C₂⁴×C₃	—	4	1	no	—
369	C₂⁴×C₃	C₂×Q₈	1	4	yes	—
370	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₃×Q₈	—	2	2	no	—
374	C₂×C₃×Q₈	—	2	2	no	—
375	C₂×C₃×Q₈	—	2	4	no	—
376	C₂×C₃×Q₈	—	2	2	no	—
377	C₂×C₃×Q₈	—	4	2	no	—
378	C₂×C₃×Q₈	—	4	2	no	—
379	C₂²×C₃×C₄	—	2	2	no	—
380	C₂²×C₃×C₄	—	2	2	no	—
381	C₂²×C₃×C₄	—	2	2	no	—
382	C₂²×C₃×C₄	—	2	2	no	—
383	C₂²×C₃×C₄	—	2	2	no	—
384	C₂²×C₃×C₄	—	2	2	no	—
385	C₂²×C₃×C₄	—	2	2	no	—
386	C₂²×C₃×C₄	—	2	2	no	—
387	C₂²×C₃×C₄	—	2	2	no	—
388	C₂²×C₃×C₄	—	2	2	no	—
389	C₂²×C₃×C₄	—	2	4	no	—
390	C₂²×C₃×C₄	—	2	4	no	—
391	C₂²×C₃×C₄	—	2	2	no	—
392	C₂²×C₃×C₄	—	2	2	no	—
393	C₂²×C₃×C₄	—	2	2	no	—
394	C₂²×C₃×C₄	—	2	2	no	—
395	C₂²×C₃×C₄	—	2	2	no	—
396	C₂²×C₃×C₄	—	2	2	no	—
397	C₂²×C₃×C₄	—	2	2	no	—
398	C₂²×C₃×C₄	—	2	2	no	—
399	C₂²×C₃×C₄	—	2	2	no	—
400	C₂²×C₃×C₄	—	4	1	no	—
401	C₂²×C₃×C₄	—	4	1	no	—
402	C₂²×C₃×C₄	—	4	1	no	—
403	C₂²×C₃×C₄	—	4	1	no	—
404	C₂²×C₃×C₄	—	4	1	no	—
405	C₂²×C₃×C₄	—	4	1	no	—
406	C₂²×C₃×C₄	—	4	1	no	—
407	C₂²×C₃×C₄	—	4	16	no	—
408	C₂²×C₃×C₄	—	4	2	no	—
409	C₂²×C₃×C₄	—	4	2	no	—
410	C₂²×C₃×C₄	—	4	2	no	—
411	C₂²×C₃×C₄	—	4	2	no	—
412	C₂²×C₃×C₄	C₂×Q₈	1	4	yes	—
413	C₂²×C₃×C₄	C₂×Q₈	1	4	yes	—
414	C₂²×C₃×C₄	#41	1	4	yes	—
415	C₂²×C₃×C₄	#41	1	4	yes	—
416	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
417	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
418	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
419	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
420	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
421	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
422	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
423	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
424	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
425	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
426	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
427	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
428	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
429	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
430	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
431	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
436	C₃×C₄⋊C₄	—	2	4	no	—
437	C₃×C₄⋊C₄	—	2	2	no	—
438	C₃×C₄⋊C₄	—	2	2	no	—
439	C₃×C₄⋊C₄	—	2	2	no	—
440	C₃×C₄⋊C₄	—	2	2	no	—
441	C₃×C₄⋊C₄	—	2	4	no	—
442	C₃×C₄⋊C₄	—	2	4	no	—
443	C₃×C₄⋊C₄	—	2	4	no	—
444	C₃×C₄⋊C₄	—	2	4	no	—
445	C₃×C₄⋊C₄	—	2	4	no	—
446	C₃×C₄⋊C₄	—	2	2	no	—
447	C₃×C₄⋊C₄	—	2	2	no	—
448	C₃×C₄⋊C₄	—	2	2	no	—
449	C₃×C₄⋊C₄	—	4	2	no	—
450	C₃×C₄⋊C₄	—	4	2	no	—
451	C₃×C₄⋊C₄	—	4	2	no	—
452	C₃×C₄⋊C₄	—	4	2	no	—
453	C₃×C₄⋊C₄	—	4	2	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	4	no	—
463	C₃×C₂²⋊C₄	—	2	4	no	—
464	C₃×C₂²⋊C₄	—	2	4	no	—
465	C₃×C₂²⋊C₄	—	2	4	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	—	2	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	2	no	—
474	C₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
475	C₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
476	C₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
477	C₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
478	C₃×C₂²⋊C₄	#41	1	4	yes	—
479	C₃×C₄²	—	2	2	no	—
480	C₃×C₄²	—	2	2	no	—
481	C₃×C₄²	—	2	2	no	—
482	C₃×C₄²	—	2	2	no	—
483	C₃×C₄²	—	2	2	no	—
484	C₃×C₄²	—	2	2	no	—
485	C₃×C₄²	—	4	1	no	—
486	C₃×C₄²	—	4	1	no	—
487	C₃×C₄²	—	4	2	no	—
488	C₃×C₄²	—	4	2	no	—
489	C₃×C₄²	—	4	2	no	—
490	C₃×C₄²	—	4	2	no	—
491	C₂⁵	C₂³×C₃	1	1	yes	characteristic
492	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
493	C₂²×Q₈	C₂³×C₃	1	2	yes	—
494	C₂³×C₄	—	2	4	no	—
495	C₂³×C₄	—	2	4	no	—
496	C₂³×C₄	—	4	2	no	—
497	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
498	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
499	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
500	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
501	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
502	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
503	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
504	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
505	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
506	C₂³×C₄	C₂³×C₃	1	2	yes	—
507	C₂³×C₄	C₂³×C₃	1	2	yes	—
508	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
509	C₄⋊Q₈	—	4	2	no	—
510	C₂²⋊Q₈	—	2	4	no	—
511	C₂²⋊Q₈	—	2	4	no	—
512	C₂²⋊Q₈	—	2	8	no	—
513	C₂²⋊Q₈	—	4	4	no	—
514	C₂²⋊Q₈	—	4	2	no	—
515	C₄×Q₈	—	4	2	no	—
516	#117	—	4	4	no	—
517	C₂×C₄⋊C₄	—	2	4	no	—
518	C₂×C₄⋊C₄	—	4	2	no	—
519	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
520	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
521	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
522	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
523	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
524	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
525	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
526	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
527	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
528	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
529	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
530	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
531	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
532	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
533	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
534	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
535	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
536	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
537	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
538	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
539	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
540	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
541	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
542	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
543	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
544	C₂×C₂²⋊C₄	—	2	4	no	—
545	C₂×C₂²⋊C₄	—	4	4	no	—
546	C₂×C₂²⋊C₄	C₃×Q₈	1	8	yes	complemented
547	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
548	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
549	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
550	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
551	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
552	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
553	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
554	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
555	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
556	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
557	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
558	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
559	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
560	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
561	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
562	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
563	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
564	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
565	C₂×C₄²	—	2	4	no	—
566	C₂×C₄²	—	4	2	no	—
567	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
568	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
569	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
570	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
571	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
572	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
573	C₂×C₄²	C₂³×C₃	1	2	yes	—
574	C₂×C₄²	C₂³×C₃	1	2	yes	—
575	C₂×C₄²	C₂³×C₃	1	2	yes	—
576	C₂×C₄²	C₂³×C₃	1	2	yes	—
577	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
578	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
579	#95	C₂³×C₃	1	1	yes	characteristic
580	#95	C₂³×C₃	1	1	yes	characteristic
581	#95	C₂³×C₃	1	1	yes	characteristic
582	#95	C₂³×C₃	1	1	yes	characteristic
583	#95	C₂³×C₃	1	1	yes	characteristic
584	#95	C₂³×C₃	1	1	yes	characteristic
585	#95	C₂³×C₃	1	1	yes	characteristic
586	#95	C₂³×C₃	1	1	yes	characteristic
587	#95	C₂³×C₃	1	2	yes	—
588	#95	C₂³×C₃	1	2	yes	—
589	#95	C₂³×C₃	1	2	yes	—
590	#95	C₂³×C₃	1	2	yes	—
591	#95	C₂³×C₃	1	2	yes	—
592	#95	C₂³×C₃	1	2	yes	—
593	#95	C₂³×C₃	1	2	yes	—
594	#95	C₂³×C₃	1	2	yes	—
595	#95	C₂³×C₃	1	2	yes	—
596	#95	C₂³×C₃	1	2	yes	—
597	#95	C₂³×C₃	1	2	yes	—
598	#95	C₂³×C₃	1	2	yes	—
599	#95	C₂³×C₃	1	2	yes	—
600	#95	C₂³×C₃	1	2	yes	—
601	#95	C₂³×C₃	1	2	yes	—
602	#95	C₂³×C₃	1	2	yes	—
603	#95	C₂³×C₃	1	2	yes	—
604	#95	C₂³×C₃	1	2	yes	—
605	#95	C₂³×C₃	1	2	yes	—
606	#95	C₂³×C₃	1	2	yes	—
607	#95	C₂³×C₃	1	2	yes	—
608	C₂³×C₃	—	2	1	no	—
609	C₂³×C₃	—	2	1	no	—
610	C₂³×C₃	—	2	1	no	—
611	C₂³×C₃	—	2	1	no	—
612	C₂³×C₃	—	2	1	no	—
613	C₂³×C₃	—	2	1	no	—
614	C₂³×C₃	—	2	1	no	—
615	C₂³×C₃	—	2	1	no	—
616	C₂³×C₃	—	2	8	no	—
617	C₂³×C₃	—	2	8	no	—
618	C₂³×C₃	—	2	1	no	—
619	C₂³×C₃	—	2	1	no	—
620	C₂³×C₃	—	2	1	no	—
621	C₂³×C₃	—	2	1	no	—
622	C₂³×C₃	—	2	1	no	—
623	C₂³×C₃	—	2	1	no	—
624	C₂³×C₃	—	4	4	no	—
625	C₂³×C₃	—	4	4	no	—
626	C₂³×C₃	—	4	4	no	—
627	C₂³×C₃	—	4	4	no	—
628	C₂³×C₃	—	4	4	no	—
629	C₂³×C₃	C₂²×Q₈	1	2	yes	—
630	C₂³×C₃	C₂²×Q₈	1	2	yes	—
631	C₂³×C₃	C₂²×Q₈	1	2	yes	—
632	C₂³×C₃	C₂×#41	1	2	yes	—
633	C₂³×C₃	C₂×#41	1	2	yes	—
634	C₂³×C₃	C₂×#41	1	2	yes	—
635	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
636	C₂³×C₃	C₂⁵	1	1	yes	characteristic
637	C₃×Q₈	—	4	4	no	—
638	C₃×Q₈	—	8	4	no	—
639	C₂×C₃×C₄	—	2	8	no	—
640	C₂×C₃×C₄	—	2	1	no	—
641	C₂×C₃×C₄	—	2	1	no	—
642	C₂×C₃×C₄	—	2	1	no	—
643	C₂×C₃×C₄	—	2	1	no	—
644	C₂×C₃×C₄	—	2	1	no	—
645	C₂×C₃×C₄	—	2	1	no	—
646	C₂×C₃×C₄	—	2	1	no	—
647	C₂×C₃×C₄	—	2	1	no	—
648	C₂×C₃×C₄	—	2	1	no	—
649	C₂×C₃×C₄	—	2	1	no	—
650	C₂×C₃×C₄	—	2	1	no	—
651	C₂×C₃×C₄	—	2	1	no	—
652	C₂×C₃×C₄	—	2	1	no	—
653	C₂×C₃×C₄	—	2	1	no	—
654	C₂×C₃×C₄	—	2	1	no	—
655	C₂×C₃×C₄	—	2	1	no	—
656	C₂×C₃×C₄	—	2	8	no	—
657	C₂×C₃×C₄	—	2	8	no	—
658	C₂×C₃×C₄	—	2	1	no	—
659	C₂×C₃×C₄	—	2	1	no	—
660	C₂×C₃×C₄	—	2	1	no	—
661	C₂×C₃×C₄	—	2	2	no	—
662	C₂×C₃×C₄	—	2	2	no	—
663	C₂×C₃×C₄	—	2	2	no	—
664	C₂×C₃×C₄	—	2	2	no	—
665	C₂×C₃×C₄	—	2	2	no	—
666	C₂×C₃×C₄	—	2	2	no	—
667	C₂×C₃×C₄	—	2	2	no	—
668	C₂×C₃×C₄	—	2	2	no	—
669	C₂×C₃×C₄	—	2	2	no	—
670	C₂×C₃×C₄	—	2	2	no	—
671	C₂×C₃×C₄	—	2	1	no	—
672	C₂×C₃×C₄	—	2	1	no	—
673	C₂×C₃×C₄	—	2	1	no	—
674	C₂×C₃×C₄	—	2	2	no	—
675	C₂×C₃×C₄	—	2	2	no	—
676	C₂×C₃×C₄	—	2	2	no	—
677	C₂×C₃×C₄	—	2	2	no	—
678	C₂×C₃×C₄	—	2	2	no	—
679	C₂×C₃×C₄	—	2	2	no	—
680	C₂×C₃×C₄	—	2	2	no	—
681	C₂×C₃×C₄	—	2	2	no	—
682	C₂×C₃×C₄	—	2	2	no	—
683	C₂×C₃×C₄	—	2	2	no	—
684	C₂×C₃×C₄	—	2	1	no	—
685	C₂×C₃×C₄	—	2	1	no	—
686	C₂×C₃×C₄	—	2	2	no	—
687	C₂×C₃×C₄	—	2	2	no	—
688	C₂×C₃×C₄	—	2	2	no	—
689	C₂×C₃×C₄	—	2	1	no	—
690	C₂×C₃×C₄	—	2	2	no	—
691	C₂×C₃×C₄	—	4	4	no	—
692	C₂×C₃×C₄	—	4	4	no	—
693	C₂×C₃×C₄	—	4	4	no	—
694	C₂×C₃×C₄	—	4	4	no	—
695	C₂×C₃×C₄	—	4	4	no	—
696	C₂×C₃×C₄	—	4	4	no	—
697	C₂×C₃×C₄	—	4	4	no	—
698	C₂×C₃×C₄	—	8	4	no	—
699	C₂×C₃×C₄	—	8	4	no	—
700	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
701	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
702	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
703	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
704	C₂×C₃×C₄	C₂×#41	1	2	yes	—
705	C₂×C₃×C₄	C₂×#41	1	2	yes	—
706	C₂×C₃×C₄	C₂×#41	1	2	yes	—
707	C₂×C₃×C₄	C₂×#41	1	2	yes	—
708	C₂×C₃×C₄	C₂×#41	1	2	yes	—
709	C₂×C₃×C₄	C₂×#41	1	2	yes	—
710	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
711	C₂⁴	—	2	2	no	—
712	C₂⁴	—	2	2	no	—
713	C₂⁴	—	2	2	no	—
714	C₂⁴	—	2	2	no	—
715	C₂⁴	—	4	1	no	—
716	C₂⁴	—	4	1	no	—
717	C₂⁴	C₂×C₃×Q₈	1	4	yes	—
718	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
719	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
720	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
721	C₂×Q₈	—	2	2	no	—
722	C₂×Q₈	—	2	2	no	—
723	C₂×Q₈	—	2	4	no	—
724	C₂×Q₈	—	2	2	no	—
725	C₂×Q₈	—	4	2	no	—
726	C₂×Q₈	—	4	2	no	—
727	C₂²×C₄	—	2	2	no	—
728	C₂²×C₄	—	2	2	no	—
729	C₂²×C₄	—	2	2	no	—
730	C₂²×C₄	—	2	2	no	—
731	C₂²×C₄	—	2	2	no	—
732	C₂²×C₄	—	2	2	no	—
733	C₂²×C₄	—	2	2	no	—
734	C₂²×C₄	—	2	2	no	—
735	C₂²×C₄	—	2	2	no	—
736	C₂²×C₄	—	2	2	no	—
737	C₂²×C₄	—	2	4	no	—
738	C₂²×C₄	—	2	4	no	—
739	C₂²×C₄	—	2	2	no	—
740	C₂²×C₄	—	2	2	no	—
741	C₂²×C₄	—	2	2	no	—
742	C₂²×C₄	—	2	2	no	—
743	C₂²×C₄	—	2	2	no	—
744	C₂²×C₄	—	2	2	no	—
745	C₂²×C₄	—	2	2	no	—
746	C₂²×C₄	—	2	2	no	—
747	C₂²×C₄	—	2	2	no	—
748	C₂²×C₄	—	4	1	no	—
749	C₂²×C₄	—	4	1	no	—
750	C₂²×C₄	—	4	1	no	—
751	C₂²×C₄	—	4	1	no	—
752	C₂²×C₄	—	4	1	no	—
753	C₂²×C₄	—	4	1	no	—
754	C₂²×C₄	—	4	1	no	—
755	C₂²×C₄	—	4	16	no	—
756	C₂²×C₄	—	4	2	no	—
757	C₂²×C₄	—	4	2	no	—
758	C₂²×C₄	—	4	2	no	—
759	C₂²×C₄	—	4	2	no	—
760	C₂²×C₄	C₂×C₃×Q₈	1	4	yes	—
761	C₂²×C₄	C₂×C₃×Q₈	1	4	yes	—
762	C₂²×C₄	C₃×#41	1	4	yes	—
763	C₂²×C₄	C₃×#41	1	4	yes	—
764	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
765	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
766	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
767	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
768	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
769	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
770	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
771	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
772	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
773	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
774	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
775	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
776	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
777	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
779	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
780	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
781	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
782	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
783	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
784	C₄⋊C₄	—	2	4	no	—
785	C₄⋊C₄	—	2	2	no	—
786	C₄⋊C₄	—	2	2	no	—
787	C₄⋊C₄	—	2	2	no	—
788	C₄⋊C₄	—	2	2	no	—
789	C₄⋊C₄	—	2	4	no	—
790	C₄⋊C₄	—	2	4	no	—
791	C₄⋊C₄	—	2	4	no	—
792	C₄⋊C₄	—	2	4	no	—
793	C₄⋊C₄	—	2	4	no	—
794	C₄⋊C₄	—	2	2	no	—
795	C₄⋊C₄	—	2	2	no	—
796	C₄⋊C₄	—	2	2	no	—
797	C₄⋊C₄	—	4	2	no	—
798	C₄⋊C₄	—	4	2	no	—
799	C₄⋊C₄	—	4	2	no	—
800	C₄⋊C₄	—	4	2	no	—
801	C₄⋊C₄	—	4	2	no	—
802	C₄⋊C₄	—	4	2	no	—
803	C₄⋊C₄	—	4	2	no	—
804	C₄⋊C₄	—	4	2	no	—
805	C₄⋊C₄	—	4	2	no	—
806	C₄⋊C₄	—	4	2	no	—
807	C₄⋊C₄	—	4	2	no	—
808	C₄⋊C₄	—	4	2	no	—
809	C₂²⋊C₄	—	2	2	no	—
810	C₂²⋊C₄	—	2	4	no	—
811	C₂²⋊C₄	—	2	4	no	—
812	C₂²⋊C₄	—	2	4	no	—
813	C₂²⋊C₄	—	2	4	no	—
814	C₂²⋊C₄	—	2	4	no	—
815	C₂²⋊C₄	—	2	4	no	—
816	C₂²⋊C₄	—	2	2	no	—
817	C₂²⋊C₄	—	2	2	no	—
818	C₂²⋊C₄	—	4	2	no	—
819	C₂²⋊C₄	—	4	2	no	—
820	C₂²⋊C₄	—	4	2	no	—
821	C₂²⋊C₄	—	4	2	no	—
822	C₂²⋊C₄	C₂×C₃×Q₈	1	4	yes	—
823	C₂²⋊C₄	C₂×C₃×Q₈	1	4	yes	—
824	C₂²⋊C₄	C₂×C₃×Q₈	1	4	yes	—
825	C₂²⋊C₄	C₂×C₃×Q₈	1	4	yes	—
826	C₂²⋊C₄	C₃×#41	1	4	yes	—
827	C₄²	—	2	2	no	—
828	C₄²	—	2	2	no	—
829	C₄²	—	2	2	no	—
830	C₄²	—	2	2	no	—
831	C₄²	—	2	2	no	—
832	C₄²	—	2	2	no	—
833	C₄²	—	4	1	no	—
834	C₄²	—	4	1	no	—
835	C₄²	—	4	2	no	—
836	C₄²	—	4	2	no	—
837	C₄²	—	4	2	no	—
838	C₄²	—	4	2	no	—
839	C₂²×C₃	—	2	2	no	—
840	C₂²×C₃	—	2	2	no	—
841	C₂²×C₃	—	2	2	no	—
842	C₂²×C₃	—	2	2	no	—
843	C₂²×C₃	—	2	2	no	—
844	C₂²×C₃	—	2	2	no	—
845	C₂²×C₃	—	2	2	no	—
846	C₂²×C₃	—	2	2	no	—
847	C₂²×C₃	—	2	2	no	—
848	C₂²×C₃	—	2	2	no	—
849	C₂²×C₃	—	2	2	no	—
850	C₂²×C₃	—	2	2	no	—
851	C₂²×C₃	—	2	2	no	—
852	C₂²×C₃	—	2	2	no	—
853	C₂²×C₃	—	2	2	no	—
854	C₂²×C₃	—	4	16	no	—
855	C₂²×C₃	—	4	1	no	—
856	C₂²×C₃	—	4	1	no	—
857	C₂²×C₃	—	4	1	no	—
858	C₂²×C₃	—	4	1	no	—
859	C₂²×C₃	#533	1	4	yes	—
860	C₂²×C₃	#554	1	4	yes	—
861	C₂²×C₃	C₂³×Q₈	1	1	yes	characteristic
862	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
863	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
864	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
865	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
866	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
867	C₂²×C₃	#585	1	1	yes	characteristic
868	C₃×C₄	—	2	2	no	—
869	C₃×C₄	—	2	2	no	—
870	C₃×C₄	—	2	2	no	—
871	C₃×C₄	—	2	2	no	—
872	C₃×C₄	—	2	2	no	—
873	C₃×C₄	—	2	2	no	—
874	C₃×C₄	—	2	2	no	—
875	C₃×C₄	—	2	2	no	—
876	C₃×C₄	—	4	1	no	—
877	C₃×C₄	—	4	2	no	—
878	C₃×C₄	—	4	2	no	—
879	C₃×C₄	—	4	1	no	—
880	C₃×C₄	—	4	2	no	—
881	C₃×C₄	—	4	2	no	—
882	C₃×C₄	—	4	2	no	—
883	C₃×C₄	—	4	1	no	—
884	C₃×C₄	—	4	2	no	—
885	C₃×C₄	—	4	2	no	—
886	C₃×C₄	—	4	2	no	—
887	C₃×C₄	#551	1	4	yes	—
888	C₂³	—	2	1	no	—
889	C₂³	—	2	1	no	—
890	C₂³	—	2	1	no	—
891	C₂³	—	2	1	no	—
892	C₂³	—	2	1	no	—
893	C₂³	—	2	1	no	—
894	C₂³	—	2	1	no	—
895	C₂³	—	2	1	no	—
896	C₂³	—	2	1	no	—
897	C₂³	—	2	1	no	—
898	C₂³	—	2	1	no	—
899	C₂³	—	2	1	no	—
900	C₂³	—	2	1	no	—
901	C₂³	—	2	1	no	—
902	C₂³	—	2	8	no	—
903	C₂³	—	2	8	no	—
904	C₂³	—	4	4	no	—
905	C₂³	—	4	4	no	—
906	C₂³	—	4	4	no	—
907	C₂³	—	4	4	no	—
908	C₂³	—	4	4	no	—
909	C₂³	C₂²×C₃×Q₈	1	2	yes	—
910	C₂³	C₂²×C₃×Q₈	1	2	yes	—
911	C₂³	C₂²×C₃×Q₈	1	2	yes	—
912	C₂³	C₂×C₃×#41	1	2	yes	—
913	C₂³	C₂×C₃×#41	1	2	yes	—
914	C₂³	C₂×C₃×#41	1	2	yes	—
915	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
916	C₂³	C₂⁵×C₃	1	1	yes	characteristic
917	Q₈	—	4	4	no	—
918	Q₈	—	8	4	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	2	1	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	8	no	—
936	C₂×C₄	—	2	8	no	—
937	C₂×C₄	—	2	8	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	4	4	no	—
972	C₂×C₄	—	4	4	no	—
973	C₂×C₄	—	4	4	no	—
974	C₂×C₄	—	4	4	no	—
975	C₂×C₄	—	4	4	no	—
976	C₂×C₄	—	4	4	no	—
977	C₂×C₄	—	4	4	no	—
978	C₂×C₄	—	8	4	no	—
979	C₂×C₄	—	8	4	no	—
980	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
981	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
982	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
983	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
984	C₂×C₄	C₂×C₃×#41	1	2	yes	—
985	C₂×C₄	C₂×C₃×#41	1	2	yes	—
986	C₂×C₄	C₂×C₃×#41	1	2	yes	—
987	C₂×C₄	C₂×C₃×#41	1	2	yes	—
988	C₂×C₄	C₂×C₃×#41	1	2	yes	—
989	C₂×C₄	C₂×C₃×#41	1	2	yes	—
990	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
991	C₂×C₃	—	2	4	no	—
992	C₂×C₃	—	2	4	no	—
993	C₂×C₃	—	4	2	no	—
994	C₂×C₃	C₂×#533	1	1	yes	characteristic
995	C₂×C₃	C₂×#551	1	1	yes	characteristic
996	C₂×C₃	C₂×#554	1	1	yes	characteristic
997	C₂×C₃	#3475	1	1	yes	characteristic
998	C₂×C₃	#3494	1	1	yes	characteristic
999	C₂×C₃	#3501	1	1	yes	characteristic
1000	C₂×C₃	#3519	1	1	yes	characteristic
1001	C₂²	—	2	2	no	—
1002	C₂²	—	2	2	no	—
1003	C₂²	—	2	2	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	2	2	no	—
1006	C₂²	—	2	2	no	—
1007	C₂²	—	2	2	no	—
1008	C₂²	—	2	2	no	—
1009	C₂²	—	2	2	no	—
1010	C₂²	—	2	2	no	—
1011	C₂²	—	2	2	no	—
1012	C₂²	—	2	2	no	—
1013	C₂²	—	2	2	no	—
1014	C₂²	—	2	2	no	—
1015	C₂²	—	2	2	no	—
1016	C₂²	—	4	16	no	—
1017	C₂²	—	4	1	no	—
1018	C₂²	—	4	1	no	—
1019	C₂²	—	4	1	no	—
1020	C₂²	—	4	1	no	—
1021	C₂²	C₃×#533	1	4	yes	—
1022	C₂²	C₃×#554	1	4	yes	—
1023	C₂²	C₂³×C₃×Q₈	1	1	yes	characteristic
1024	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1025	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1026	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1027	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1028	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1029	C₂²	C₃×#585	1	1	yes	characteristic
1030	C₄	—	2	2	no	—
1031	C₄	—	2	2	no	—
1032	C₄	—	2	2	no	—
1033	C₄	—	2	2	no	—
1034	C₄	—	2	2	no	—
1035	C₄	—	2	2	no	—
1036	C₄	—	2	2	no	—
1037	C₄	—	2	2	no	—
1038	C₄	—	4	1	no	—
1039	C₄	—	4	2	no	—
1040	C₄	—	4	1	no	—
1041	C₄	—	4	2	no	—
1042	C₄	—	4	2	no	—
1043	C₄	—	4	2	no	—
1044	C₄	—	4	2	no	—
1045	C₄	—	4	1	no	—
1046	C₄	—	4	2	no	—
1047	C₄	—	4	2	no	—
1048	C₄	—	4	2	no	—
1049	C₄	C₃×#551	1	4	yes	—
1050	C₃	#36190	1	1	yes	characteristic, direct product factor, Sylow
1051	C₂	—	2	4	no	—
1052	C₂	—	2	4	no	—
1053	C₂	—	4	2	no	—
1054	C₂	C₂×C₃×#533	1	1	yes	characteristic
1055	C₂	C₂×C₃×#551	1	1	yes	characteristic
1056	C₂	C₂×C₃×#554	1	1	yes	characteristic
1057	C₂	C₃×#3475	1	1	yes	characteristic
1058	C₂	C₃×#3494	1	1	yes	characteristic
1059	C₂	C₃×#3501	1	1	yes	characteristic
1060	C₂	C₃×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂⁵×C₃	C₂³
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×#2857	C₂	semidirect
2. C₃×#2855	C₂	semidirect
4. C₃×#2574	C₂	semidirect
5. C₃×#2569	C₂	semidirect
6. C₃×#2522	C₂	semidirect
7. C₃×#2505	C₂	semidirect
8. C₃×#2502	C₂	semidirect
9. C₃×#2497	C₂	semidirect
10. C₃×#2497	C₂	semidirect
11. C₃×#2492	C₂	semidirect
12. C₃×#2440	C₂	semidirect
13. C₃×#2438	C₂	semidirect
15. C₃×#2423	C₂	semidirect
16. C₃×#2368	C₂	semidirect
17. C₃×#2360	C₂	semidirect
18. C₃×#2345	C₂	semidirect
20. C₃×C₄×C₂²⋊Q₈	C₂	semidirect
21. C₃×#2285	C₂	semidirect
24. #36190	C₃	direct (N × H)
26. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
32. C₂×C₃×C₄×Q₈	C₂²	semidirect
41. C₃×#400	C₂²	semidirect
42. C₃×#400	C₂²	semidirect
43. C₃×#400	C₂²	semidirect
45. C₃×#398	C₂²	semidirect
46. C₃×#398	C₂²	semidirect
47. C₃×#398	C₂²	semidirect
48. C₃×#398	C₂²	semidirect
51. C₃×#395	C₂²	semidirect
53. C₃×#391	C₂²	semidirect
54. C₃×#391	C₂²	semidirect
55. C₃×#391	C₂²	semidirect
56. C₃×#391	C₂²	semidirect
57. C₃×#391	C₂²	semidirect
58. C₃×#389	C₂²	semidirect
59. C₃×#389	C₂²	semidirect
60. C₃×#389	C₂²	semidirect
61. C₃×#389	C₂²	semidirect
62. C₃×#389	C₂²	semidirect
63. C₃×#389	C₂²	semidirect
64. C₃×#389	C₂²	semidirect
69. C₃×#387	C₂²	semidirect
70. C₃×#387	C₂²	semidirect
71. C₃×#387	C₂²	semidirect
72. C₃×#387	C₂²	semidirect
73. C₃×#387	C₂²	semidirect
74. C₃×#387	C₂²	semidirect
75. C₃×#387	C₂²	semidirect
76. C₃×#387	C₂²	semidirect
77. C₃×#387	C₂²	semidirect
87. C₃×#384	C₂²	semidirect
88. C₃×#384	C₂²	semidirect
89. C₃×#384	C₂²	semidirect
90. C₃×#382	C₂²	semidirect
105. C₃×C₄×C₄⋊C₄	C₂²	semidirect
106. C₃×C₄×C₄⋊C₄	C₂²	semidirect
107. C₃×C₄×C₄⋊C₄	C₂²	semidirect
108. C₃×C₄×C₄⋊C₄	C₂²	semidirect
109. C₃×C₄×C₄⋊C₄	C₂²	semidirect
124. #2857	C₂×C₃	semidirect
125. #2855	C₂×C₃	semidirect
127. #2574	C₂×C₃	semidirect
128. #2569	C₂×C₃	semidirect
129. #2522	C₂×C₃	semidirect
130. #2505	C₂×C₃	semidirect
131. #2502	C₂×C₃	semidirect
132. #2497	C₂×C₃	semidirect
133. #2497	C₂×C₃	semidirect
134. #2492	C₂×C₃	semidirect
135. #2440	C₂×C₃	semidirect
136. #2438	C₂×C₃	semidirect
138. #2423	C₂×C₃	semidirect
139. #2368	C₂×C₃	semidirect
140. #2360	C₂×C₃	semidirect
141. #2345	C₂×C₃	semidirect
143. C₄×C₂²⋊Q₈	C₂×C₃	semidirect
144. #2285	C₂×C₃	semidirect
202. C₂×C₃×C₂²⋊C₄	Q₈	semidirect
265. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
271. C₂×C₄×Q₈	C₂²×C₃	semidirect
280. #400	C₂²×C₃	semidirect
281. #400	C₂²×C₃	semidirect
282. #400	C₂²×C₃	semidirect
284. #398	C₂²×C₃	semidirect
285. #398	C₂²×C₃	semidirect
286. #398	C₂²×C₃	semidirect
287. #398	C₂²×C₃	semidirect
290. #395	C₂²×C₃	semidirect
292. #391	C₂²×C₃	semidirect
293. #391	C₂²×C₃	semidirect
294. #391	C₂²×C₃	semidirect
295. #391	C₂²×C₃	semidirect
296. #391	C₂²×C₃	semidirect
297. #389	C₂²×C₃	semidirect
298. #389	C₂²×C₃	semidirect
299. #389	C₂²×C₃	semidirect
300. #389	C₂²×C₃	semidirect
301. #389	C₂²×C₃	semidirect
302. #389	C₂²×C₃	semidirect
303. #389	C₂²×C₃	semidirect
308. #387	C₂²×C₃	semidirect
309. #387	C₂²×C₃	semidirect
310. #387	C₂²×C₃	semidirect
311. #387	C₂²×C₃	semidirect
312. #387	C₂²×C₃	semidirect
313. #387	C₂²×C₃	semidirect
314. #387	C₂²×C₃	semidirect
315. #387	C₂²×C₃	semidirect
316. #387	C₂²×C₃	semidirect
326. #384	C₂²×C₃	semidirect
327. #384	C₂²×C₃	semidirect
328. #384	C₂²×C₃	semidirect
329. #382	C₂²×C₃	semidirect
344. C₄×C₄⋊C₄	C₂²×C₃	semidirect
345. C₄×C₄⋊C₄	C₂²×C₃	semidirect
346. C₄×C₄⋊C₄	C₂²×C₃	semidirect
347. C₄×C₄⋊C₄	C₂²×C₃	semidirect
348. C₄×C₄⋊C₄	C₂²×C₃	semidirect
546. C₂×C₂²⋊C₄	C₃×Q₈	semidirect
1050. C₃	#36190	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×#2857	2
C₃×#2855	2
C₃×#2848	2
C₃×#2574	2
C₃×#2569	2
C₃×#2522	2
C₃×#2505	2
C₃×#2502	2
C₃×#2497	2
C₃×#2492	2
C₃×#2440	2
C₃×#2438	2
C₃×#2437	2
C₃×#2423	2
C₃×#2368	2
C₃×#2360	2
C₃×#2345	2
C₃×#2342	2
C₃×C₄×C₂²⋊Q₈	2
C₃×#2285	2
C₂×C₃×#380	2
C₂×C₃×C₄×C₂²⋊C₄	2
#36190	3

Subgroups — C3×#36190 #10654797

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#36190 #10654797