Finite Group Databasebeta

← Dic3×#932 #11860307

Subgroups — Dic3×#932 #11860307

Order 1152.

1191 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
2C2×C3×#932C211yesmaximal, characteristic
3Dic3×#235C211yesmaximal, characteristic, complemented
4#10592914C211yesmaximal, characteristic, complemented
5#10591440C212yesmaximal, complemented
6Dic3×#214C212yesmaximal, complemented
7#10591430C212yesmaximal, complemented
8Dic3×#213C212yesmaximal, complemented
9#10591130C211yesmaximal, characteristic, complemented
10#10591087C211yesmaximal, characteristic, complemented
11Dic3×#208C211yesmaximal, characteristic, complemented
12Dic3×AGL(1,ℤ/8)—31nomaximal
13C4×#932—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C23×C3×Dic3—21no—
16C2×C3×#235C2211yescharacteristic
17#64135C2211yescharacteristic
18C2×#3748C2211yescharacteristic
19C2×C3×#217—21no—
20C3×D4×Dic3—21no—
21C3×D4×Dic3—21no—
22C3×D4×Dic3C2212yes—
23C3×D4×Dic3C2212yes—
24C2×C3×#214C2212yes—
25C3×#932C418yescomplemented
26C2×C3×#213C2212yes—
27C2×C3×C4⋊Dic3C2211yescharacteristic
28C2×C3×C4×Dic3C2211yescharacteristic
29C2×C3×#208C2211yescharacteristic
30Dic3×#67—21no—
31Dic3×#67—21no—
32Dic3×D12C2211yescharacteristic, complemented
33Dic3×D12C2211yescharacteristic, complemented
34C4×D3×Dic3—21no—
35#63855—21no—
36Dic3×Dic6C2211yescharacteristic, complemented
37Dic3×Dic6C2211yescharacteristic, complemented
38#63659C2212yes—
39#63659C2212yes—
40#63575C2212yescomplemented
41#63573C2212yescomplemented
42#63565C2212yescomplemented
43#63562C2212yescomplemented
44#63554C2212yescomplemented
45Dic3×C3⋊C8C2212yescomplemented
46C2×C3×AGL(1,ℤ/8)—31no—
47C2×C3×C4×D4—31no—
48Dic3×#41—31no—
49C2×D4×Dic3D311yescharacteristic, complemented
50C2×#932D311yescharacteristic
51C4×#235—31no—
52#5232—31no—
53#5215—31no—
54#5215—31no—
55#5215—61no—
56#5164—32no—
57Dic3×SD16—32no—
58#5152—32no—
59Dic3×D8—32no—
60#5121—31no—
61Dic3×M16—31no—
62#5018—32no—
63C4×#214—32no—
64#5014—32no—
65C4×#213—32no—
66#4966—31no—
67#4964—31no—
68C4×#208—31no—
69C24×C32—21no—
70C2×C32×D4—21no—
71C2×C32×D4—22no—
72C2×C32×D4C2×C414yescomplemented
73C2×C32×D4C2312yes—
74C22×C32×C4C2311yescharacteristic
75C2×C3×#67—21no—
76C22×C3×Dic3—21no—
77C22×C3×Dic3—22no—
78C22×C3×Dic3—22no—
79C22×C3×Dic3—44no—
80C22×C3×Dic3D411yescharacteristic
81C22×C3×Dic3D411yescharacteristic
82C3×#235—22no—
83C3×#235C2×C414yescomplemented
84C2×C3×D12C2311yescharacteristic
85C2×C3×C4×D3—21no—
86C2×C3×Dic6C2311yescharacteristic
87C2×D3×Dic3—21no—
88C2×D3×Dic3—21no—
89#3757—21no—
90C4⋊(C3⋊Dic3)C2311yescharacteristic
91C4⋊(C3⋊Dic3)C2311yescharacteristic
92C4×C3⋊Dic3—21no—
93#3748—22no—
94C2×C3⋊(C3⋊C8)C2312yes—
95C3×#217—22no—
96C3×#217—22no—
97C3×#214C2×C418yescomplemented
98C3×#213C2×C418yescomplemented
99C3×C4⋊Dic3—21no—
100C3×C4⋊Dic3C2312yes—
101C3×C4×Dic3D411yescharacteristic
102C3×C4×Dic3D411yescharacteristic
103C3×C4×Dic3C2311yescharacteristic
104C3×C4×Dic3C2311yescharacteristic
105C3×#208C2×C414yescomplemented
106C2×C3×C3⋊C8C2312yes—
107Dic3⋊Dic3—21no—
108Dic3⋊Dic3—21no—
109(C2×D3)⋊Dic3—21no—
110(C2×D3)⋊Dic3—21no—
111Dic32—21no—
112Dic32—21no—
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—31no—
115C22×C3×D4—21no—
116C22×C3×D4C2×D311yescharacteristic
117C22×C3×D4C2×D311yescharacteristic
118C23×C3×C4—61no—
119C23×Dic3—21no—
120C2×#235C2×D311yescharacteristic
121C3×AGL(1,ℤ/8)—38no—
122C2×C3×SD16—32no—
123C2×C3×D8—32no—
124C2×C3×M16—31no—
125C3×C4×D4—32no—
126C3×C4×D4—32no—
127C3×C4×D4—61no—
128C3×C4×D4—61no—
129C2×C3×C4⋊C4—31no—
130C2×C3×C22⋊C4—61no—
131C2×C3×C42—31no—
132C2×#217—21no—
133Q8×Dic3—31no—
134Q8×Dic3—31no—
135D4×Dic3—21no—
136D4×Dic3—21no—
137D4×Dic3—31no—
138D4×Dic3—31no—
139D4×Dic3—61no—
140D4×Dic3—61no—
141D4×Dic3C2×D312yes—
142D4×Dic3C2×D312yes—
143C2×#214C2×D312yes—
144#932Dic318yesdirect product factor
145C2×#213C2×D312yes—
146C4×#67—61no—
147C4×#67—61no—
148#926—31no—
149#926—31no—
150#926—61no—
151#926—61no—
152C2×C4⋊Dic3C2×D311yescharacteristic
153C2×C4×Dic3—61no—
154C2×C4×Dic3C2×D311yescharacteristic
155C2×#208—31no—
156C2×#208—31no—
157C2×#208—61no—
158C2×#208C2×D311yescharacteristic
159C4×D12—31no—
160C4×D12—31no—
161#872—61no—
162C42×D3—61no—
163C4×Dic6—31no—
164C4×Dic6—31no—
165#835—32no—
166#832—32no—
167#832—32no—
168#832—32no—
169#832—32no—
170#832—32no—
171#832—62no—
172#832—62no—
173#818—32no—
174#817—32no—
175#815—32no—
176C8×Dic3—32no—
177#810—32no—
178#809—32no—
179#808—32no—
180#807—32no—
181#803—32no—
182C4×C3⋊C8—32no—
183C23×C32—24no—
184C23×C32—22no—
185C23×C32—42no—
186C23×C32—42no—
187C23×C32C2×D411yescharacteristic
188C22×C3×D3—21no—
189C32×D4—24no—
190C32×D4—22no—
191C32×D4C22×C414yes—
192C2×C32×C4C22×C412yes—
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4#4112yes—
195C2×C32×C4C2411yescharacteristic
196C2×C3⋊Dic3—21no—
197C2×C3⋊Dic3—21no—
198C3×#67—24no—
199C2×C3×Dic3—21no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—41no—
203C2×C3×Dic3—44no—
204C2×C3×Dic3—42no—
205C2×C3×Dic3—44no—
206C2×C3×Dic3C2×D411yescharacteristic
207C2×C3×Dic3C2×D411yescharacteristic
208C2×C3×Dic3C2×D411yescharacteristic
209C2×C3×Dic3C2×D411yescharacteristic
210C3×D12—21no—
211C3×D12C22×C412yescomplemented
212C3×C4×D3—24no—
213C3×Dic6—21no—
214C3×Dic6C22×C412yescomplemented
215D3×Dic3—42no—
216D3×Dic3—42no—
217C3⋊(C3⋊C8)—22no—
218C3×C3⋊C8C22×C414yescomplemented
219C2×AGL(1,ℤ/8)—31no—
220C4×#41—91no—
221C2×C4×D4—31no—
222#442—92no—
223#440—92no—
224C4×SD16—92no—
225C4×D8—92no—
226#428—91no—
227#418—91no—
228#417—91no—
229C4×M16—91no—
230C24×C3—21no—
231C24×C3—21no—
232C24×C3—41no—
233C3×#41—34no—
234C3×#41—62no—
235C2×C3×Q8—31no—
236C2×C3×D4—22no—
237C2×C3×D4—21no—
238C2×C3×D4—22no—
239C2×C3×D4—21no—
240C2×C3×D4—24no—
241C2×C3×D4—22no—
242C2×C3×D4—31no—
243C2×C3×D4—42no—
244C2×C3×D4—41no—
245C2×C3×D4—61no—
246C2×C3×D4C4×D314yescomplemented
247C2×C3×D4C2×Dic314yescomplemented
248C2×C3×D4C22×D312yes—
249C2×C3×D4C22×D312yes—
250C22×C3×C4—21no—
251C22×C3×C4—31no—
252C22×C3×C4—31no—
253C22×C3×C4—62no—
254C22×C3×C4—62no—
255C22×C3×C4—61no—
256C22×C3×C4—61no—
257C22×C3×C4—124no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C2×#67—21no—
261C22×Dic3—21no—
262C22×Dic3—22no—
263C22×Dic3—22no—
264C22×Dic3—44no—
265C22×Dic3—61no—
266C22×Dic3—61no—
267C22×Dic3#6711yescharacteristic
268C22×Dic3#6711yescharacteristic
269#235—22no—
270#235C2×Dic314yescomplemented
271C2×D12C22×D311yescharacteristic
272C2×C4×D3—21no—
273C2×C4×D3—61no—
274C2×C4×D3—61no—
275C2×Dic6C22×D311yescharacteristic
276C3×SD16—38no—
277C3×D8—38no—
278C3×M16—34no—
279C2×C3×C8—32no—
280C3×C4⋊C4—32no—
281C3×C4⋊C4—61no—
282C3×C22⋊C4—62no—
283C3×C22⋊C4—62no—
284C3×C42—31no—
285C3×C42—31no—
286C3×C42—31no—
287C3×C42—31no—
288#217—22no—
289#217—22no—
290#217—61no—
291#217—61no—
292#217—61no—
293#217—61no—
294#217—121no—
295#214C2×Dic318yescomplemented
296#213C2×Dic318yescomplemented
297(C2×D3)⋊C4—61no—
298(C2×D3)⋊C4—61no—
299C4⋊Dic3—21no—
300C4⋊Dic3—31no—
301C4⋊Dic3—31no—
302C4⋊Dic3—31no—
303C4⋊Dic3—31no—
304C4⋊Dic3—61no—
305C4⋊Dic3—61no—
306C4⋊Dic3—61no—
307C4⋊Dic3—61no—
308C4⋊Dic3C22×D312yes—
309Dic3⋊C4—61no—
310Dic3⋊C4—61no—
311C4×Dic3—61no—
312C4×Dic3—61no—
313C4×Dic3—61no—
314C4×Dic3—61no—
315C4×Dic3—61no—
316C4×Dic3—61no—
317C4×Dic3—121no—
318C4×Dic3#6711yescharacteristic
319C4×Dic3#6711yescharacteristic
320C4×Dic3C22×D311yescharacteristic
321C4×Dic3C22×D311yescharacteristic
322#208—62no—
323#208—62no—
324#208—122no—
325#208C2×Dic314yescomplemented
326C2×C3⋊C8—32no—
327C2×C3⋊C8—32no—
328C2×C3⋊C8—62no—
329C2×C3⋊C8C22×D312yes—
330C22×C32—21no—
331C22×C32—21no—
332C22×C32—24no—
333C22×C32—48no—
334C22×C32—42no—
335C22×C32—42no—
336C22×C32C4×D412yes—
337C22×C32C22×D411yescharacteristic
338C2×C3×D3—22no—
339C2×C3×D3—41no—
340C2×C3×D3—41no—
341C32×C4C4×D412yes—
342C32×C4C23×C411yescharacteristic
343C32×C4C2×#4111yescharacteristic
344C3⋊Dic3—41no—
345C3⋊Dic3—41no—
346C3×Dic3—22no—
347C3×Dic3—21no—
348C3×Dic3—21no—
349C3×Dic3—21no—
350C3×Dic3—42no—
351C3×Dic3AGL(1,ℤ/8)12yescomplemented
352C2×#41—31no—
353C22×D4D3211yescharacteristic
354C23×C4—61no—
355AGL(1,ℤ/8)—38no—
356C2×SD16—32no—
357C2×D8—32no—
358C2×M16—31no—
359C2×M16—91no—
360C4×Q8—91no—
361C4×Q8—91no—
362C4×D4—32no—
363C4×D4—32no—
364C4×D4—61no—
365C4×D4—61no—
366C4×D4—91no—
367C4×D4—91no—
368C4×D4—181no—
369C4×D4—181no—
370#117—91no—
371#117—181no—
372C2×C4⋊C4—31no—
373C2×C22⋊C4—61no—
374C2×C42—31no—
375C2×C42—181no—
376#107—92no—
377#106—92no—
378#103—92no—
379#102—92no—
380#102—92no—
381#102—92no—
382#97—92no—
383C4×C8—92no—
384C23×C3—24no—
385C23×C3—24no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—21no—
389C23×C3—42no—
390C23×C3—44no—
391C23×C3—42no—
392C23×C3—42no—
393C23×C3—42no—
394C23×C3—42no—
395C23×C3—61no—
396C23×C3—82no—
397C23×C3—82no—
398C23×C3D3×D411yescharacteristic
399C23×C3C2×#6711yescharacteristic
400C22×D3—21no—
401C3×Q8—32no—
402C3×Q8—61no—
403C3×D4—24no—
404C3×D4—24no—
405C3×D4—22no—
406C3×D4—22no—
407C3×D4—24no—
408C3×D4—32no—
409C3×D4—42no—
410C3×D4—44no—
411C3×D4—64no—
412C3×D4—61no—
413C3×D4C2×C4×D314yes—
414C3×D4C22×Dic314yes—
415C2×C3×C4—21no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—21no—
419C2×C3×C4—31no—
420C2×C3×C4—31no—
421C2×C3×C4—31no—
422C2×C3×C4—31no—
423C2×C3×C4—62no—
424C2×C3×C4—61no—
425C2×C3×C4—64no—
426C2×C3×C4—62no—
427C2×C3×C4—124no—
428C2×C3×C4—121no—
429C2×C3×C4—124no—
430C2×C3×C4—122no—
431C2×C3×C4C2×C4×D312yes—
432C2×C3×C4#23512yes—
433C2×C3×C4D3×D411yescharacteristic
434C2×C3×C4#23712yes—
435C2×C3×C4C22×Dic312yes—
436C2×C3×C4C2×#6711yescharacteristic
437C2×C3×C4C23×D311yescharacteristic
438C2×C3×C4C23×D311yescharacteristic
439#67—24no—
440C2×Dic3—21no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—41no—
444C2×Dic3—44no—
445C2×Dic3—42no—
446C2×Dic3—44no—
447C2×Dic3—61no—
448C2×Dic3—61no—
449C2×Dic3—61no—
450C2×Dic3—61no—
451C2×Dic3—121no—
452C2×Dic3—121no—
453C2×Dic3—122no—
454C2×Dic3—122no—
455C2×Dic3C2×#6711yescharacteristic
456C2×Dic3C2×#6711yescharacteristic
457C2×Dic3C2×#6711yescharacteristic
458C2×Dic3C2×#6711yescharacteristic
459D12—21no—
460D12C22×Dic312yescomplemented
461C4×D3—24no—
462C4×D3—122no—
463C4×D3—122no—
464Dic6—21no—
465Dic6C22×Dic312yescomplemented
466C3×C8—34no—
467C3⋊C8—62no—
468C3⋊C8—62no—
469C3⋊C8—122no—
470C3⋊C8C22×Dic314yescomplemented
471C2×C32—22no—
472C2×C32—44no—
473C2×C32C2×C4×D411yescharacteristic
474C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
475C2×C32#57511yescharacteristic
476C3×D3—42no—
477C24—21no—
478#41—34no—
479#41—62no—
480C2×Q8—31no—
481C2×D4—22no—
482C2×D4—21no—
483C2×D4—31no—
484C2×D4—61no—
485C2×D4D3×Dic314yescomplemented
486C2×D4C2×D3212yes—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—124no—
494C22×C4—181no—
495C22×C4—181no—
496C22×C4C2×D3211yescharacteristic
497SD16—38no—
498D8—38no—
499M16—34no—
500M16—182no—
501C2×C8—32no—
502C2×C8—92no—
503C4⋊C4—32no—
504C4⋊C4—61no—
505C4⋊C4—91no—
506C4⋊C4—91no—
507C4⋊C4—181no—
508C4⋊C4—181no—
509C22⋊C4—62no—
510C22⋊C4—62no—
511C22⋊C4—181no—
512C22⋊C4—181no—
513C22⋊C4—181no—
514C42—31no—
515C42—31no—
516C42—31no—
517C42—31no—
518C42—181no—
519C42—181no—
520C42—181no—
521C22×C3—21no—
522C22×C3—21no—
523C22×C3—21no—
524C22×C3—21no—
525C22×C3—24no—
526C22×C3—24no—
527C22×C3—21no—
528C22×C3—22no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—44no—
532C22×C3—48no—
533C22×C3—48no—
534C22×C3—42no—
535C22×C3—42no—
536C22×C3—42no—
537C22×C3—42no—
538C22×C3—62no—
539C22×C3—82no—
540C22×C3—82no—
541C22×C3—88no—
542C22×C3—121no—
543C22×C3—121no—
544C22×C3C4×#6712yes—
545C22×C3D4×Dic312yes—
546C22×C3C2×D3×D411yescharacteristic
547C22×C3C22×#6711yescharacteristic
548C2×D3—22no—
549C2×D3—41no—
550C2×D3—41no—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—22no—
554C3×C4—32no—
555C3×C4—61no—
556C3×C4—61no—
557C3×C4—61no—
558C3×C4—62no—
559C3×C4—122no—
560C3×C4C4×#6712yes—
561C3×C4D4×Dic312yes—
562C3×C4C22×C4×D311yescharacteristic
563C3×C4C2×#23511yescharacteristic
564C3×C4C2×#23711yescharacteristic
565C3×C4C23×Dic311yescharacteristic
566Dic3—21no—
567Dic3—22no—
568Dic3—21no—
569Dic3—21no—
570Dic3—42no—
571Dic3—121no—
572Dic3—121no—
573Dic3—121no—
574Dic3—121no—
575Dic3—241no—
576Dic3—241no—
577Dic3#93212yesdirect product factor
578C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
579C23—22no—
580C23—24no—
581C23—42no—
582C23—42no—
583C23—61no—
584C23D3×#6711yescharacteristic
585Q8—32no—
586Q8—61no—
587D4—22no—
588D4—24no—
589D4—32no—
590D4—64no—
591D4—61no—
592D4C2×D3×Dic314yes—
593C2×C4—31no—
594C2×C4—31no—
595C2×C4—31no—
596C2×C4—31no—
597C2×C4—62no—
598C2×C4—61no—
599C2×C4—64no—
600C2×C4—62no—
601C2×C4—124no—
602C2×C4—121no—
603C2×C4—124no—
604C2×C4—122no—
605C2×C4—181no—
606C2×C4—181no—
607C2×C4—362no—
608C2×C4—362no—
609C2×C4C2×D3×Dic312yes—
610C2×C4#380412yes—
611C2×C4D3×#6711yescharacteristic
612C2×C4C22×D3211yescharacteristic
613C8—34no—
614C8—182no—
615C2×C3—22no—
616C2×C3—22no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—42no—
621C2×C3—44no—
622C2×C3—44no—
623C2×C3—84no—
624C2×C3—122no—
625C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
626C2×C3#577311yescharacteristic
627C2×C3C2×C4×#6711yescharacteristic
628C2×C3C2×#93211yescharacteristic
629C2×C3C2×D4×Dic311yescharacteristic
630C2×C3#582211yescharacteristic
631D3—42no—
632C22—21no—
633C22—21no—
634C22—24no—
635C22—48no—
636C22—42no—
637C22—42no—
638C22—62no—
639C22—121no—
640C22—121no—
641C22Dic3×#6712yes—
642C22C2×D3×#6711yescharacteristic
643C4—32no—
644C4—61no—
645C4—61no—
646C4—61no—
647C4—62no—
648C4—122no—
649C4—361no—
650C4—361no—
651C4Dic3×#6712yes—
652C4C22×D3×Dic311yescharacteristic
653C4C2×#380411yescharacteristic
654C3—21no—
655C3C4×#93211yescharacteristic, complemented
656C3Dic3×AGL(1,ℤ/8)11yescharacteristic, complemented
657C2—22no—
658C2—44no—
659C2—122no—
660C2D3×#93211yescharacteristic
661C2#1059509511yescharacteristic
662C2C2×Dic3×#6711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
prime radicalC2×C3×#932C2
cosocleC2×C32×C4C24
hypercenterC22×D4D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×Dic3C2semidirect
3. Dic3×#235C2semidirect
4. #10592914C2semidirect
5. #10591440C2semidirect
6. Dic3×#214C2semidirect
7. #10591430C2semidirect
8. Dic3×#213C2semidirect
9. #10591130C2semidirect
10. #10591087C2semidirect
11. Dic3×#208C2semidirect
25. C3×#932C4semidirect
32. Dic3×D12C22semidirect
33. Dic3×D12C22semidirect
36. Dic3×Dic6C22semidirect
37. Dic3×Dic6C22semidirect
40. #63575C22semidirect
41. #63573C22semidirect
42. #63565C22semidirect
43. #63562C22semidirect
44. #63554C22semidirect
45. Dic3×C3⋊C8C22semidirect
49. C2×D4×Dic3D3semidirect
72. C2×C32×D4C2×C4semidirect
83. C3×#235C2×C4semidirect
97. C3×#214C2×C4semidirect
98. C3×#213C2×C4semidirect
105. C3×#208C2×C4semidirect
144. #932Dic3direct (N × H)
211. C3×D12C22×C4semidirect
214. C3×Dic6C22×C4semidirect
218. C3×C3⋊C8C22×C4semidirect
246. C2×C3×D4C4×D3semidirect
247. C2×C3×D4C2×Dic3semidirect
270. #235C2×Dic3semidirect
295. #214C2×Dic3semidirect
296. #213C2×Dic3semidirect
325. #208C2×Dic3semidirect
351. C3×Dic3AGL(1,ℤ/8)semidirect
460. D12C22×Dic3semidirect
465. Dic6C22×Dic3semidirect
470. C3⋊C8C22×Dic3semidirect
485. C2×D4D3×Dic3semidirect
577. Dic3#932direct (N × H)
578. C32C4×AGL(1,ℤ/8)semidirect
655. C3C4×#932semidirect
656. 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×D4×Dic32
C2×C3×#9322
Dic3×#2352
#105929142
#105914402
Dic3×#2142
#105914302
Dic3×#2132
#105911302
#105910872
Dic3×#2082
Dic3×AGL(1,ℤ/8)3
C4×#9323