Finite Group Databasebeta

← Dic3×#908 #11860324

Subgroups — Dic3×#908 #11860324

Order 1152.

1155 conjugacy classes of subgroups.

The subgroup lattice has 653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#908C211yesmaximal, characteristic
2Dic3×#235C211yesmaximal, characteristic, complemented
3C2×Dic3×D12C211yesmaximal, characteristic, complemented
4#10592820C211yesmaximal, characteristic, complemented
5C3×Dic3×M16C211yesmaximal, characteristic, complemented
6#10591088C211yesmaximal, characteristic, complemented
7#10591086C211yesmaximal, characteristic, complemented
8#10590771C212yesmaximal, complemented
9#10590766C212yesmaximal, complemented
10Dic3×D24C212yesmaximal, complemented
11Dic3×#204C212yesmaximal, complemented
12Dic3×AGL(1,ℤ/8)—31nomaximal
13C4×#908—31nomaximal
14C2×C3×#235C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×D3×Dic3—21no—
17C2×C32×M16C2211yescharacteristic
18#64135C2211yescharacteristic
19C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C3×C4×Dic3C2211yescharacteristic
21C2×C3×#208C2211yescharacteristic
22C3×#908C418yescomplemented
23C2×C3×D24C2212yes—
24C2×C3×#204C2212yes—
25Dic3×#67—21no—
26Dic3×#67—21no—
27C2×(C2×D3)⋊Dic3—21no—
28Dic3×D12—21no—
29Dic3×D12—21no—
30Dic3×D12C2212yes—
31Dic3×D12C2212yes—
32Dic3×D12C2211yescharacteristic, complemented
33Dic3×D12C2211yescharacteristic, complemented
34C4×D3×Dic3—21no—
35#63855—21no—
36Dic3×Dic6C2211yescharacteristic, complemented
37Dic3×Dic6C2211yescharacteristic, complemented
38#63645C2212yescomplemented
39#63644C2212yescomplemented
40C3×#815C2212yescomplemented
41C3×C8×Dic3C2212yescomplemented
42#63566C2212yescomplemented
43#63563C2212yes—
44#63563C2212yes—
45#63563C2212yescomplemented
46C2×C3×AGL(1,ℤ/8)—31no—
47Dic3×#41—31no—
48C2×D4×Dic3—31no—
49C2×#908D311yescharacteristic
50C4×#235—31no—
51C2×C4×D12—31no—
52C3×C4×M16—31no—
53#5232—31no—
54#5215—31no—
55#5164—32no—
56Dic3×SD16—32no—
57#5152—32no—
58Dic3×D8—32no—
59#5133—31no—
60#5131—31no—
61#5121—31no—
62#5121—31no—
63#5121—61no—
64Dic3×M16D311yescharacteristic, complemented
65#4711—32no—
66#4710—32no—
67C4×D24—32no—
68C4×#204—32no—
69C23×C3×D3—21no—
70C22×C32×C4C2311yescharacteristic
71C22×C3⋊Dic3—21no—
72C2×C3×#67—21no—
73C22×C3×Dic3D411yescharacteristic
74C22×C3×Dic3D411yescharacteristic
75C3×#235—22no—
76C3×#235C2×C414yescomplemented
77C2×C3×D12—21no—
78C2×C3×D12—22no—
79C2×C3×D12C2×C414yescomplemented
80C2×C3×D12C2312yes—
81C2×C3×D12C2311yescharacteristic
82C2×C3×C4×D3—21no—
83C2×C3×Dic6C2311yescharacteristic
84C2×D3×Dic3—22no—
85C2×D3×Dic3—22no—
86C2×D3×Dic3—21no—
87C2×D3×Dic3—21no—
88C2×D3×Dic3—44no—
89C32×M16C2×C414yescomplemented
90C2×C32×C8C2312yes—
91#3757—21no—
92C4⋊(C3⋊Dic3)—21no—
93C4⋊(C3⋊Dic3)C2311yescharacteristic
94C4⋊(C3⋊Dic3)C2311yescharacteristic
95C4⋊(C3⋊Dic3)C2312yes—
96C4×C3⋊Dic3—21no—
97C3×C4×Dic3D411yescharacteristic
98C3×C4×Dic3D411yescharacteristic
99C3×C4×Dic3C2311yescharacteristic
100C3×C4×Dic3C2311yescharacteristic
101C3×#208—22no—
102C2×C3×C3⋊C8C2312yes—
103C3×D24C2×C418yescomplemented
104C3×#204C2×C418yescomplemented
105Dic3⋊Dic3—21no—
106Dic3⋊Dic3—21no—
107(C2×D3)⋊Dic3—21no—
108(C2×D3)⋊Dic3—21no—
109(C2×D3)⋊Dic3—22no—
110(C2×D3)⋊Dic3—22no—
111Dic32—21no—
112Dic32—21no—
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—31no—
115C22×C3×D4—31no—
116C23×Dic3—61no—
117C2×#235C2×D311yescharacteristic
118C22×D12C2×D311yescharacteristic
119C22×C4×D3—61no—
120C3×AGL(1,ℤ/8)—38no—
121C2×C3×SD16—32no—
122C2×C3×D8—32no—
123C2×C3×M16—21no—
124C2×C3×M16—31no—
125C2×C3×M16C2×D311yescharacteristic
126C2×C3×M16C2×D311yescharacteristic
127C2×C3×C42—31no—
128C2×#217—61no—
129Q8×Dic3—31no—
130Q8×Dic3—31no—
131D4×Dic3—31no—
132D4×Dic3—32no—
133D4×Dic3—31no—
134D4×Dic3—32no—
135D4×Dic3—61no—
136D4×Dic3—61no—
137D4×Dic3—61no—
138D4×Dic3—61no—
139C4×#67—61no—
140C4×#67—61no—
141C2×(C2×D3)⋊C4—61no—
142#926—31no—
143#926—31no—
144#926—61no—
145#926—61no—
146C2×C4⋊Dic3—31no—
147C2×C4⋊Dic3—31no—
148C2×C4⋊Dic3—61no—
149C2×C4×Dic3—61no—
150C2×C4×Dic3C2×D311yescharacteristic
151C2×#208C2×D311yescharacteristic
152#908Dic318yesdirect product factor
153C2×D24C2×D312yes—
154C2×#204C2×D312yes—
155C4×D12—32no—
156C4×D12—31no—
157C4×D12—32no—
158C4×D12—31no—
159C4×D12—61no—
160C4×D12—61no—
161#872—61no—
162C42×D3—61no—
163C4×Dic6—31no—
164C4×Dic6—31no—
165C3×#97—32no—
166C3×C4×C8—32no—
167#835—32no—
168#832—32no—
169#832—32no—
170#832—32no—
171#821—32no—
172#821—32no—
173#821—32no—
174#818—32no—
175#818—32no—
176#818—62no—
177#817—32no—
178#817—32no—
179#817—62no—
180#816—32no—
181#815C2×D312yescomplemented
182C8×Dic3C2×D312yescomplemented
183C23×C32C2×D411yescharacteristic
184C22×C3×D3—24no—
185C22×C3×D3—22no—
186C22×C3×D3—21no—
187C22×C3×D3—42no—
188C22×C3×D3—42no—
189C2×C32×C4C22×C412yes—
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4#4112yes—
192C2×C32×C4C2411yescharacteristic
193C2×C3⋊Dic3—21no—
194C2×C3⋊Dic3—21no—
195C2×C3⋊Dic3—22no—
196C2×C3⋊Dic3—42no—
197C3×#67—24no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—41no—
201C2×C3×Dic3C2×D411yescharacteristic
202C2×C3×Dic3C2×D411yescharacteristic
203C2×C3×Dic3C2×D411yescharacteristic
204C2×C3×Dic3C2×D411yescharacteristic
205C3×D12—24no—
206C3×D12—22no—
207C3×D12—21no—
208C3×D12C22×C414yes—
209C3×D12C22×C412yescomplemented
210C3×C4×D3—24no—
211C3×Dic6—21no—
212C3×Dic6C22×C412yescomplemented
213D3×Dic3—42no—
214D3×Dic3—44no—
215D3×Dic3—42no—
216D3×Dic3—44no—
217C32×C8C22×C414yescomplemented
218C3×C3⋊C8—22no—
219C2×AGL(1,ℤ/8)—31no—
220C4×#41—91no—
221C2×C4×D4—91no—
222#442—92no—
223#440—92no—
224C4×SD16—92no—
225C4×D8—92no—
226#428—91no—
227#418—91no—
228#417—91no—
229C4×M16—31no—
230C24×C3—61no—
231C23×D3—21no—
232C3×#41—34no—
233C3×#41—62no—
234C2×C3×Q8—31no—
235C2×C3×D4—34no—
236C2×C3×D4—31no—
237C2×C3×D4—32no—
238C2×C3×D4—61no—
239C2×C3×D4—61no—
240C2×C3×D4—62no—
241C22×C3×C4—21no—
242C22×C3×C4—31no—
243C22×C3×C4—31no—
244C22×C3×C4—61no—
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C2×#67—21no—
248C22×Dic3—61no—
249C22×Dic3—61no—
250C22×Dic3—61no—
251C22×Dic3—61no—
252C22×Dic3—62no—
253C22×Dic3—62no—
254C22×Dic3—121no—
255C22×Dic3—124no—
256C22×Dic3D1211yescharacteristic
257C22×Dic3D1211yescharacteristic
258#235—22no—
259#235C2×Dic314yescomplemented
260C2×D12—21no—
261C2×D12—22no—
262C2×D12C2×Dic314yescomplemented
263C2×D12C22×D312yes—
264C2×D12C22×D311yescharacteristic
265C2×C4×D3—21no—
266C2×C4×D3—61no—
267C2×C4×D3—61no—
268C2×C4×D3—62no—
269C2×C4×D3—62no—
270C2×C4×D3—124no—
271C2×Dic6C22×D311yescharacteristic
272C3×SD16—38no—
273C3×D8—38no—
274C3×M16—24no—
275C3×M16—62no—
276C3×M16C4×D314yescomplemented
277C3×M16C2×Dic314yescomplemented
278C2×C3×C8—22no—
279C2×C3×C8—32no—
280C2×C3×C8C22×D312yes—
281C2×C3×C8C22×D312yes—
282C3×C42—31no—
283C3×C42—31no—
284C3×C42—31no—
285C3×C42—31no—
286#217—61no—
287#217—61no—
288#217—61no—
289#217—61no—
290#217—62no—
291#217—62no—
292#217—121no—
293(C2×D3)⋊C4—61no—
294(C2×D3)⋊C4—61no—
295(C2×D3)⋊C4—62no—
296(C2×D3)⋊C4—62no—
297C4⋊Dic3—32no—
298C4⋊Dic3—31no—
299C4⋊Dic3—31no—
300C4⋊Dic3—32no—
301C4⋊Dic3—31no—
302C4⋊Dic3—31no—
303C4⋊Dic3—61no—
304C4⋊Dic3—62no—
305C4⋊Dic3—61no—
306C4⋊Dic3—61no—
307C4⋊Dic3—61no—
308C4⋊Dic3—61no—
309C4⋊Dic3—61no—
310C4⋊Dic3—121no—
311Dic3⋊C4—61no—
312Dic3⋊C4—61no—
313C4×Dic3—61no—
314C4×Dic3—61no—
315C4×Dic3—61no—
316C4×Dic3—61no—
317C4×Dic3—61no—
318C4×Dic3—61no—
319C4×Dic3—121no—
320C4×Dic3D1211yescharacteristic
321C4×Dic3D1211yescharacteristic
322C4×Dic3C22×D311yescharacteristic
323C4×Dic3C22×D311yescharacteristic
324#208—22no—
325C2×C3⋊C8C22×D312yes—
326D24C2×Dic318yescomplemented
327#204C2×Dic318yescomplemented
328C22×C32—21no—
329C22×C32—21no—
330C22×C32C4×D412yes—
331C22×C32C22×D411yescharacteristic
332C2×C3×D3—22no—
333C2×C3×D3—24no—
334C2×C3×D3—48no—
335C2×C3×D3—42no—
336C2×C3×D3—41no—
337C2×C3×D3—41no—
338C2×C3×D3—42no—
339C32×C4C4×D412yes—
340C32×C4C23×C411yescharacteristic
341C32×C4C2×#4111yescharacteristic
342C3⋊Dic3—42no—
343C3⋊Dic3—41no—
344C3⋊Dic3—41no—
345C3×Dic3—22no—
346C3×Dic3—21no—
347C3×Dic3—21no—
348C3×Dic3—21no—
349C3×Dic3AGL(1,ℤ/8)12yescomplemented
350C2×#41—31no—
351C22×D4—31no—
352C23×C4—181no—
353AGL(1,ℤ/8)—38no—
354C2×SD16—32no—
355C2×D8—32no—
356C2×M16—31no—
357C2×M16D3211yescharacteristic
358C4×Q8—91no—
359C4×Q8—91no—
360C4×D4—92no—
361C4×D4—92no—
362C4×D4—91no—
363C4×D4—91no—
364C4×D4—181no—
365C4×D4—181no—
366C4×D4—181no—
367C4×D4—181no—
368#117—91no—
369#117—181no—
370C2×C4⋊C4—91no—
371C2×C22⋊C4—181no—
372C2×C42—31no—
373C2×C42—181no—
374#107—92no—
375#106—92no—
376#103—92no—
377#102—92no—
378#102—92no—
379#102—92no—
380#97—32no—
381C4×C8—32no—
382C23×C3—21no—
383C23×C3—64no—
384C23×C3—61no—
385C23×C3—62no—
386C23×C3—122no—
387C23×C3—122no—
388C23×C3C2×D1211yescharacteristic
389C23×C3D3×D411yescharacteristic
390C22×D3—24no—
391C22×D3—21no—
392C22×D3—22no—
393C22×D3—42no—
394C22×D3—42no—
395C3×Q8—32no—
396C3×Q8—61no—
397C3×D4—34no—
398C3×D4—32no—
399C3×D4—64no—
400C3×D4—64no—
401C3×D4—62no—
402C3×D4—61no—
403C2×C3×C4—21no—
404C2×C3×C4—22no—
405C2×C3×C4—21no—
406C2×C3×C4—22no—
407C2×C3×C4—31no—
408C2×C3×C4—31no—
409C2×C3×C4—31no—
410C2×C3×C4—31no—
411C2×C3×C4—62no—
412C2×C3×C4—61no—
413C2×C3×C4—64no—
414C2×C3×C4—121no—
415C2×C3×C4C2×C4×D312yes—
416C2×C3×C4C2×D1211yescharacteristic
417C2×C3×C4#23512yes—
418C2×C3×C4D3×D411yescharacteristic
419C2×C3×C4#23712yes—
420C2×C3×C4C22×Dic312yes—
421C2×C3×C4C23×D311yescharacteristic
422C2×C3×C4C23×D311yescharacteristic
423#67—24no—
424C2×Dic3—21no—
425C2×Dic3—22no—
426C2×Dic3—41no—
427C2×Dic3—61no—
428C2×Dic3—61no—
429C2×Dic3—62no—
430C2×Dic3—61no—
431C2×Dic3—61no—
432C2×Dic3—62no—
433C2×Dic3—121no—
434C2×Dic3—121no—
435C2×Dic3—122no—
436C2×Dic3—122no—
437C2×Dic3—124no—
438C2×Dic3—122no—
439C2×Dic3—122no—
440C2×Dic3—122no—
441C2×Dic3—124no—
442C2×Dic3—242no—
443C2×Dic3C2×D1211yescharacteristic
444C2×Dic3C2×D1211yescharacteristic
445C2×Dic3C2×D1211yescharacteristic
446C2×Dic3C2×D1211yescharacteristic
447D12—24no—
448D12—22no—
449D12—21no—
450D12C22×Dic314yes—
451D12C22×Dic312yescomplemented
452C4×D3—24no—
453C4×D3—122no—
454C4×D3—124no—
455C4×D3—122no—
456C4×D3—124no—
457Dic6—21no—
458Dic6C22×Dic312yescomplemented
459C3×C8—24no—
460C3×C8—62no—
461C3×C8C2×C4×D314yescomplemented
462C3×C8C22×Dic314yescomplemented
463C3⋊C8—22no—
464C2×C32—22no—
465C2×C32C2×C4×D411yescharacteristic
466C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
467C2×C32#57511yescharacteristic
468C3×D3—42no—
469C3×D3—44no—
470C24—61no—
471#41—34no—
472#41—62no—
473C2×Q8—31no—
474C2×D4—31no—
475C2×D4—32no—
476C2×D4—34no—
477C2×D4—61no—
478C2×D4—62no—
479C2×D4—61no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—61no—
483C22×C4—181no—
484C22×C4—181no—
485C22×C4—182no—
486C22×C4—182no—
487C22×C4—181no—
488C22×C4—364no—
489C22×C4C2×D3211yescharacteristic
490SD16—38no—
491D8—38no—
492M16—62no—
493M16D3×Dic314yescomplemented
494C2×C8—32no—
495C2×C8C2×D3212yes—
496C4⋊C4—91no—
497C4⋊C4—91no—
498C4⋊C4—92no—
499C4⋊C4—181no—
500C4⋊C4—181no—
501C4⋊C4—181no—
502C22⋊C4—182no—
503C22⋊C4—182no—
504C22⋊C4—181no—
505C22⋊C4—181no—
506C22⋊C4—181no—
507C42—31no—
508C42—31no—
509C42—31no—
510C42—31no—
511C42—181no—
512C42—181no—
513C42—181no—
514C22×C3—21no—
515C22×C3—21no—
516C22×C3—21no—
517C22×C3—21no—
518C22×C3—21no—
519C22×C3—22no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—62no—
523C22×C3—64no—
524C22×C3—128no—
525C22×C3—122no—
526C22×C3—121no—
527C22×C3—121no—
528C22×C3—122no—
529C22×C3C4×D1212yes—
530C22×C3D4×Dic312yes—
531C22×C3C22×D1211yescharacteristic
532C22×C3C2×D3×D411yescharacteristic
533C2×D3—22no—
534C2×D3—24no—
535C2×D3—48no—
536C2×D3—42no—
537C2×D3—41no—
538C2×D3—41no—
539C2×D3—42no—
540C3×C4—21no—
541C3×C4—21no—
542C3×C4—22no—
543C3×C4—32no—
544C3×C4—62no—
545C3×C4—61no—
546C3×C4—61no—
547C3×C4—61no—
548C3×C4C4×D1212yes—
549C3×C4D4×Dic312yes—
550C3×C4C22×C4×D311yescharacteristic
551C3×C4C2×#23511yescharacteristic
552C3×C4C2×#23711yescharacteristic
553C3×C4C23×Dic311yescharacteristic
554Dic3—21no—
555Dic3—21no—
556Dic3—21no—
557Dic3—22no—
558Dic3—122no—
559Dic3—121no—
560Dic3—121no—
561Dic3—122no—
562Dic3—121no—
563Dic3—121no—
564Dic3—242no—
565Dic3—241no—
566Dic3—241no—
567Dic3#90812yesdirect product factor
568C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
569C23—61no—
570C23—62no—
571C23—64no—
572C23—122no—
573C23—122no—
574C23D3×D1211yescharacteristic
575Q8—32no—
576Q8—61no—
577D4—32no—
578D4—34no—
579D4—64no—
580D4—62no—
581D4—61no—
582D4—64no—
583C2×C4—31no—
584C2×C4—31no—
585C2×C4—31no—
586C2×C4—31no—
587C2×C4—62no—
588C2×C4—61no—
589C2×C4—64no—
590C2×C4—121no—
591C2×C4—181no—
592C2×C4—181no—
593C2×C4—182no—
594C2×C4—364no—
595C2×C4—362no—
596C2×C4—364no—
597C2×C4—362no—
598C2×C4—362no—
599C2×C4#379512yes—
600C2×C4D3×D1211yescharacteristic
601C2×C4C2×D3×Dic312yes—
602C2×C4C22×D3211yescharacteristic
603C8—62no—
604C8C2×D3×Dic314yescomplemented
605C2×C3—22no—
606C2×C3—22no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—42no—
611C2×C3—124no—
612C2×C3—122no—
613C2×C3C2×C4×D1211yescharacteristic
614C2×C3C2×#90811yescharacteristic
615C2×C3#574811yescharacteristic
616C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
617C2×C3#577311yescharacteristic
618C2×C3C2×D4×Dic311yescharacteristic
619D3—44no—
620D3—42no—
621C22—21no—
622C22—21no—
623C22—62no—
624C22—64no—
625C22—128no—
626C22—122no—
627C22—121no—
628C22—121no—
629C22—122no—
630C22Dic3×D1212yes—
631C22C2×D3×D1211yescharacteristic
632C4—32no—
633C4—62no—
634C4—61no—
635C4—61no—
636C4—61no—
637C4—362no—
638C4—361no—
639C4—361no—
640C4Dic3×D1212yes—
641C4C2×#379511yescharacteristic
642C4C22×D3×Dic311yescharacteristic
643C3—21no—
644C3C4×#90811yescharacteristic, complemented
645C3Dic3×AGL(1,ℤ/8)11yescharacteristic, complemented
646C2—22no—
647C2—124no—
648C2—122no—
649C2D3×#90811yescharacteristic
650C2#1059471211yescharacteristic
651C2C2×Dic3×D1211yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×M16C22
socleC22×C32C22×D4
prime radicalC2×C3×#908C2
cosocleC2×C32×C4C24
hypercenterC2×M16D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
2. Dic3×#235C2semidirect
3. C2×Dic3×D12C2semidirect
4. #10592820C2semidirect
5. C3×Dic3×M16C2semidirect
6. #10591088C2semidirect
7. #10591086C2semidirect
8. #10590771C2semidirect
9. #10590766C2semidirect
10. Dic3×D24C2semidirect
11. Dic3×#204C2semidirect
22. C3×#908C4semidirect
32. Dic3×D12C22semidirect
33. Dic3×D12C22semidirect
36. Dic3×Dic6C22semidirect
37. Dic3×Dic6C22semidirect
38. #63645C22semidirect
39. #63644C22semidirect
40. C3×#815C22semidirect
41. C3×C8×Dic3C22semidirect
42. #63566C22semidirect
45. #63563C22semidirect
64. Dic3×M16D3semidirect
76. C3×#235C2×C4semidirect
79. C2×C3×D12C2×C4semidirect
89. C32×M16C2×C4semidirect
103. C3×D24C2×C4semidirect
104. C3×#204C2×C4semidirect
152. #908Dic3direct (N × H)
181. #815C2×D3semidirect
182. C8×Dic3C2×D3semidirect
209. C3×D12C22×C4semidirect
212. C3×Dic6C22×C4semidirect
217. C32×C8C22×C4semidirect
259. #235C2×Dic3semidirect
262. C2×D12C2×Dic3semidirect
276. C3×M16C4×D3semidirect
277. C3×M16C2×Dic3semidirect
326. D24C2×Dic3semidirect
327. #204C2×Dic3semidirect
349. C3×Dic3AGL(1,ℤ/8)semidirect
451. D12C22×Dic3semidirect
458. Dic6C22×Dic3semidirect
461. C3×C8C2×C4×D3semidirect
462. C3×C8C22×Dic3semidirect
493. M16D3×Dic3semidirect
567. Dic3#908direct (N × H)
568. C32C4×AGL(1,ℤ/8)semidirect
604. C8C2×D3×Dic3semidirect
644. C3C4×#908semidirect
645. C3Dic3×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9082
Dic3×#2352
C2×Dic3×D122
#105928202
C3×Dic3×M162
#105910882
#105910862
#105907712
#105907662
Dic3×D242
Dic3×#2042
Dic3×AGL(1,ℤ/8)3
C4×#9083