Finite Group Databasebeta

← C2×D3×Dic3×A4 #13180908

Subgroups — C2×D3×Dic3×A4 #13180908

Order 1728.

1450 conjugacy classes of subgroups; only the 168 normal subgroups are shown.

normal subgroups only

This group has 1450 conjugacy classes of subgroups — too many to draw. Only its 168 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×A4C211yesmaximal, characteristic
2C2×A4×C3⋊Dic3C211yesmaximal, characteristic, complemented
3C2×C3×Dic3×A4C211yesmaximal, characteristic, complemented
4D3×Dic3×A4C214yesmaximal, direct product factor
5C23×D3×Dic3C311yesmaximal, characteristic, complemented
6C22×Dic3×A4—31nomaximal
7C2×C4×D3×A4—31nomaximal
8C22×C32×A4C2211yescharacteristic
9C2×C3×D3×A4C414yescomplemented
10C2×C3×D3×A4C2212yes—
11C2×C3×D3×Dic3—41nomaximal
12A4×C3⋊Dic3C2212yescomplemented
13C3×Dic3×A4C2212yescomplemented
14C24×C3×D3C2×C311yescharacteristic
15C23×C3×A4—31no—
16C22×D3×A4—21no—
17C22×D3×A4D311yescharacteristic
18C23×C3⋊Dic3C2×C311yescharacteristic, complemented
19C23×C3×Dic3C2×C311yescharacteristic, complemented
20C2×C3×C4×A4—31no—
21C22×D3×Dic3—31no—
22C22×D3×Dic3—31no—
23C22×D3×Dic3—31no—
24C22×D3×Dic3—31no—
25C22×D3×Dic3—34no—
26C22×D3×Dic3C2×C314yescomplemented
27C2×Dic3×A4—21no—
28C2×Dic3×A4—34no—
29C2×Dic3×A4—31no—
30C2×Dic3×A4—31no—
31C2×Dic3×A4—61no—
32C2×Dic3×A4D311yescharacteristic, direct product factor
33C4×D3×A4—34no—
34C22×C32×D3—41no—
35C2×C32×A4C2×C412yescomplemented
36C2×C32×A4C2311yescharacteristic
37C3×D3×A4C2×C414yescomplemented
38C2×C3×C3⋊Dic3—41no—
39C2×C32×Dic3—41no—
40C3×D3×Dic3—44no—
41C24×Dic3—31no—
42C23×C4×D3—31no—
43C22×C4×A4—91no—
44C24×C32C22×C311yescharacteristic
45C23×C3×D3—31no—
46C23×C3×D3—31no—
47C23×C3×D3—32no—
48C23×C3×D3—34no—
49C23×C3×D3C3×C414yescomplemented
50C23×C3×D3C22×C312yes—
51C22×C3×A4—21no—
52C22×C3×A4—21no—
53C22×C3×A4—21no—
54C22×C3×A4—34no—
55C22×C3×A4—32no—
56C22×C3×A4—41no—
57C22×C3×A4C2×D311yescharacteristic
58C22×C3×A4C2×D311yescharacteristic
59C2×D3×A4—24no—
60C2×D3×A4—22no—
61C2×D3×A4Dic314yesdirect product factor
62C2×D3×A4C2×D312yes—
63C22×C3⋊Dic3—31no—
64C22×C3⋊Dic3—31no—
65C22×C3⋊Dic3—32no—
66C22×C3⋊Dic3C22×C312yescomplemented
67C22×C3×Dic3—31no—
68C22×C3×Dic3—31no—
69C22×C3×Dic3—32no—
70C22×C3×Dic3—121no—
71C22×C3×Dic3C22×C312yescomplemented
72C2×C3×C4×D3—121no—
73C3×C4×A4—32no—
74C2×D3×Dic3—32no—
75C2×D3×Dic3—34no—
76C2×D3×Dic3—34no—
77C2×D3×Dic3—34no—
78C2×D3×Dic3—31no—
79C2×D3×Dic3—31no—
80C2×D3×Dic3—31no—
81C2×D3×Dic3—34no—
82C2×D3×Dic3—34no—
83C2×D3×Dic3—34no—
84C2×D3×Dic3—34no—
85C2×D3×Dic3—34no—
86C2×D3×Dic3A411yescharacteristic, direct product factor
87Dic3×A4—22no—
88Dic3×A4—32no—
89Dic3×A4—32no—
90Dic3×A4—62no—
91Dic3×A4C2×D312yesdirect product factor
92C22×C33—41no—
93C2×C32×D3—44no—
94C2×C32×D3—42no—
95C32×A4C22×C411yescharacteristic, complemented
96C3×C3⋊Dic3—42no—
97C32×Dic3—42no—
98C25×C3—31no—
99C24×D3C3×D311yescharacteristic
100C23×A4—31no—
101C23×A4—61no—
102C23×C3×C4—31no—
103C23×Dic3—31no—
104C23×Dic3—31no—
105C23×Dic3—34no—
106C23×Dic3—61no—
107C23×Dic3—91no—
108C23×Dic3—91no—
109C23×Dic3—94no—
110C23×Dic3—91no—
111C23×Dic3—91no—
112C23×Dic3C3×D311yescharacteristic, complemented
113C22×C4×D3—34no—
114C22×C4×D3—91no—
115C22×C4×D3—94no—
116C22×C4×D3—91no—
117C22×C4×D3—91no—
118C22×C4×D3—91no—
119C2×C4×A4—31no—
120C2×C4×A4—61no—
121C2×C4×A4—94no—
122C2×C4×A4—91no—
123C23×C32—32no—
124C23×C32—31no—
125C23×C32—31no—
126C23×C32—121no—
127C23×C32C2×C3×C412yescomplemented
128C23×C32C23×C311yescharacteristic
129C22×C3×D3—34no—
130C22×C3×D3—38no—
131C22×C3×D3—32no—
132C22×C3×D3—31no—
133C22×C3×D3—34no—
134C22×C3×D3—34no—
135C22×C3×D3—32no—
136C22×C3×D3—32no—
137C22×C3×D3—34no—
138C22×C3×D3—38no—
139C22×C3×D3—34no—
140C22×C3×D3—32no—
141C22×C3×D3—41no—
142C22×C3×D3—81no—
143C22×C3×D3C2×C3×C414yescomplemented
144C22×C3×D3C2×A411yescharacteristic
145C2×C3×A4—22no—
146C2×C3×A4—22no—
147C2×C3×A4—21no—
148C2×C3×A4—21no—
149C2×C3×A4—22no—
150C2×C3×A4—21no—
151C2×C3×A4—34no—
152C2×C3×A4—42no—
153C2×C3×A4—41no—
154C2×C3×A4C4×D312yescomplemented
155C2×C3×A4C2×Dic312yescomplemented
156C2×C3×A4C22×D311yescharacteristic
157C2×C3×A4C22×D311yescharacteristic
158D3×A4—24no—
159D3×A4C2×Dic314yesdirect product factor
160C2×C32×C4—121no—
161C2×C3⋊Dic3—32no—
162C2×C3⋊Dic3—31no—
163C2×C3⋊Dic3—32no—
164C2×C3⋊Dic3—32no—
165C2×C3⋊Dic3—32no—
166C2×C3⋊Dic3C2×A411yescharacteristic, complemented
167C2×C3×Dic3—32no—
168C2×C3×Dic3—31no—
169C2×C3×Dic3—32no—
170C2×C3×Dic3—32no—
171C2×C3×Dic3—32no—
172C2×C3×Dic3—41no—
173C2×C3×Dic3—81no—
174C2×C3×Dic3—124no—
175C2×C3×Dic3—121no—
176C2×C3×Dic3—121no—
177C2×C3×Dic3—241no—
178C2×C3×Dic3C2×A411yescharacteristic, complemented
179C3×C4×D3—124no—
180D3×Dic3—38no—
181D3×Dic3—34no—
182D3×Dic3—34no—
183D3×Dic3—34no—
184D3×Dic3C2×A414yesdirect product factor
185C24×C4—91noSylow
186C2×C33—42no—
187C2×C33—41no—
188C32×D3—44no—
189C24×C3—21no—
190C24×C3—34no—
191C24×C3—32no—
192C24×C3—91no—
193C24×C3—94no—
194C24×C3—92no—
195C24×C3—91no—
196C24×C3C2×C3×D311yescharacteristic
197C24×C3C2×C3×D311yescharacteristic
198C23×D3—31no—
199C23×D3—31no—
200C23×D3—32no—
201C23×D3—34no—
202C23×D3C3×Dic314yescomplemented
203C23×D3C2×C3×D312yes—
204C22×A4—21no—
205C22×A4—21no—
206C22×A4—34no—
207C22×A4—32no—
208C22×A4—41no—
209C22×A4—64no—
210C22×A4—62no—
211C22×A4D3211yescharacteristic
212C22×C3×C4—32no—
213C22×C3×C4—91no—
214C22×C3×C4—92no—
215C22×C3×C4—91no—
216C22×C3×C4—361no—
217C22×Dic3—31no—
218C22×Dic3—31no—
219C22×Dic3—31no—
220C22×Dic3—32no—
221C22×Dic3—32no—
222C22×Dic3—32no—
223C22×Dic3—62no—
224C22×Dic3—94no—
225C22×Dic3—91no—
226C22×Dic3—94no—
227C22×Dic3—91no—
228C22×Dic3—91no—
229C22×Dic3—91no—
230C22×Dic3—94no—
231C22×Dic3—94no—
232C22×Dic3—92no—
233C22×Dic3—94no—
234C22×Dic3—94no—
235C22×Dic3—94no—
236C22×Dic3—94no—
237C22×Dic3—91no—
238C22×Dic3—92no—
239C22×Dic3—91no—
240C22×Dic3—92no—
241C22×Dic3—91no—
242C22×Dic3—181no—
243C22×Dic3—182no—
244C22×Dic3—181no—
245C22×Dic3C2×C3×D312yescomplemented
246C2×C4×D3—31no—
247C2×C4×D3—94no—
248C2×C4×D3—94no—
249C2×C4×D3—91no—
250C2×C4×D3—91no—
251C2×C4×D3—94no—
252C2×C4×D3—94no—
253C2×C4×D3—92no—
254C2×C4×D3—94no—
255C2×C4×D3—91no—
256C2×C4×D3—94no—
257C2×C4×D3—94no—
258C2×C4×D3—94no—
259C4×A4—32no—
260C4×A4—62no—
261C4×A4—92no—
262C22×C32—32no—
263C22×C32—31no—
264C22×C32—32no—
265C22×C32—32no—
266C22×C32—32no—
267C22×C32—31no—
268C22×C32—31no—
269C22×C32—41no—
270C22×C32—41no—
271C22×C32—81no—
272C22×C32—81no—
273C22×C32—81no—
274C22×C32—122no—
275C22×C32—124no—
276C22×C32—161no—
277C22×C32C22×C3×C411yescharacteristic, complemented
278C22×C32C22×A411yescharacteristic
279C2×C3×D3—34no—
280C2×C3×D3—38no—
281C2×C3×D3—34no—
282C2×C3×D3—32no—
283C2×C3×D3—34no—
284C2×C3×D3—38no—
285C2×C3×D3—34no—
286C2×C3×D3—34no—
287C2×C3×D3—42no—
288C2×C3×D3—44no—
289C2×C3×D3—82no—
290C2×C3×D3—84no—
291C2×C3×D3C4×A414yescomplemented
292C2×C3×D3C22×A412yes—
293C3×A4—21no—
294C3×A4—21no—
295C3×A4—21no—
296C3×A4—41no—
297C3×A4C2×C4×D311yescharacteristic, complemented
298C3×A4C22×Dic311yescharacteristic, complemented
299C32×C4—122no—
300C3⋊Dic3—32no—
301C3⋊Dic3C22×A412yescomplemented
302C3×Dic3—32no—
303C3×Dic3—42no—
304C3×Dic3—82no—
305C3×Dic3—122no—
306C3×Dic3—122no—
307C3×Dic3—242no—
308C3×Dic3C22×A412yescomplemented
309C25—31no—
310C23×C4—31no—
311C23×C4—94no—
312C23×C4—91no—
313C23×C4—271no—
314C23×C4—271no—
315C23×C4—274no—
316C23×C4—271no—
317C23×C4—271no—
318C33—41noSylow
319C23×C3—22no—
320C23×C3—21no—
321C23×C3—31no—
322C23×C3—31no—
323C23×C3—32no—
324C23×C3—32no—
325C23×C3—31no—
326C23×C3—31no—
327C23×C3—31no—
328C23×C3—34no—
329C23×C3—61no—
330C23×C3—61no—
331C23×C3—62no—
332C23×C3—92no—
333C23×C3—92no—
334C23×C3—94no—
335C23×C3—94no—
336C23×C3—92no—
337C23×C3—98no—
338C23×C3—94no—
339C23×C3—94no—
340C23×C3—92no—
341C23×C3—98no—
342C23×C3—94no—
343C23×C3—91no—
344C23×C3—121no—
345C23×C3—241no—
346C23×C3C3×C4×D312yescomplemented
347C23×C3C2×C3×Dic312yescomplemented
348C23×C3C22×C3×D311yescharacteristic
349C23×C3C22×C3×D311yescharacteristic
350C22×D3—32no—
351C22×D3—34no—
352C22×D3—38no—
353C22×D3—31no—
354C22×D3—32no—
355C22×D3—32no—
356C22×D3—34no—
357C22×D3—34no—
358C22×D3—32no—
359C22×D3—34no—
360C22×D3—38no—
361C22×D3—34no—
362C22×D3C2×C3×Dic314yescomplemented
363C22×D3D3×A411yescharacteristic
364C2×A4—22no—
365C2×A4—22no—
366C2×A4—21no—
367C2×A4—21no—
368C2×A4—34no—
369C2×A4—42no—
370C2×A4—41no—
371C2×A4—64no—
372C2×A4D3×Dic312yesdirect product factor
373C2×A4C2×D3211yescharacteristic
374C2×C3×C4—31no—
375C2×C3×C4—92no—
376C2×C3×C4—92no—
377C2×C3×C4—92no—
378C2×C3×C4—91no—
379C2×C3×C4—92no—
380C2×C3×C4—121no—
381C2×C3×C4—241no—
382C2×C3×C4—364no—
383C2×C3×C4—361no—
384C2×Dic3—32no—
385C2×Dic3—31no—
386C2×Dic3—31no—
387C2×Dic3—31no—
388C2×Dic3—34no—
389C2×Dic3—32no—
390C2×Dic3—32no—
391C2×Dic3—32no—
392C2×Dic3—61no—
393C2×Dic3—94no—
394C2×Dic3—94no—
395C2×Dic3—92no—
396C2×Dic3—92no—
397C2×Dic3—92no—
398C2×Dic3—92no—
399C2×Dic3—98no—
400C2×Dic3—92no—
401C2×Dic3—92no—
402C2×Dic3—91no—
403C2×Dic3—91no—
404C2×Dic3—94no—
405C2×Dic3—92no—
406C2×Dic3—92no—
407C2×Dic3—182no—
408C2×Dic3—182no—
409C2×Dic3—181no—
410C2×Dic3—182no—
411C2×Dic3—182no—
412C2×Dic3D3×A411yescharacteristic, direct product factor
413C4×D3—34no—
414C4×D3—94no—
415C4×D3—94no—
416C4×D3—98no—
417C4×D3—94no—
418C2×C32—32no—
419C2×C32—31no—
420C2×C32—31no—
421C2×C32—42no—
422C2×C32—42no—
423C2×C32—41no—
424C2×C32—41no—
425C2×C32—81no—
426C2×C32—82no—
427C2×C32—82no—
428C2×C32—82no—
429C2×C32—81no—
430C2×C32—81no—
431C2×C32—124no—
432C2×C32—161no—
433C2×C32—162no—
434C2×C32C2×C4×A412yescomplemented
435C2×C32C23×A411yescharacteristic
436C3×D3—34no—
437C3×D3—44no—
438C3×D3—84no—
439C3×D3C2×C4×A414yescomplemented
440C24—34no—
441C24—32no—
442C24—91no—
443C24—92no—
444C24—91no—
445C24—94no—
446C24C3×D3211yescharacteristic
447C22×C4—32no—
448C22×C4—91no—
449C22×C4—91no—
450C22×C4—92no—
451C22×C4—91no—
452C22×C4—92no—
453C22×C4—271no—
454C22×C4—274no—
455C22×C4—274no—
456C22×C4—271no—
457C22×C4—271no—
458C22×C4—271no—
459C22×C4—274no—
460C22×C4—274no—
461C22×C4—274no—
462C22×C4—272no—
463C22×C4—274no—
464C22×C4—274no—
465C22×C4—274no—
466C22×C4—272no—
467C22×C4—271no—
468C22×C3—21no—
469C22×C3—21no—
470C22×C3—32no—
471C22×C3—31no—
472C22×C3—32no—
473C22×C3—31no—
474C22×C3—32no—
475C22×C3—32no—
476C22×C3—32no—
477C22×C3—32no—
478C22×C3—34no—
479C22×C3—32no—
480C22×C3—32no—
481C22×C3—31no—
482C22×C3—31no—
483C22×C3—32no—
484C22×C3—31no—
485C22×C3—31no—
486C22×C3—41no—
487C22×C3—61no—
488C22×C3—61no—
489C22×C3—62no—
490C22×C3—62no—
491C22×C3—62no—
492C22×C3—61no—
493C22×C3—62no—
494C22×C3—81no—
495C22×C3—81no—
496C22×C3—94no—
497C22×C3—94no—
498C22×C3—98no—
499C22×C3—94no—
500C22×C3—94no—
501C22×C3—98no—
502C22×C3—94no—
503C22×C3—92no—
504C22×C3—122no—
505C22×C3—124no—
506C22×C3—161no—
507C22×C3—242no—
508C22×C3—244no—
509C22×C3C2×C3×C4×D311yescharacteristic, complemented
510C22×C3C22×C3×Dic311yescharacteristic, complemented
511C22×C3C2×D3×A411yescharacteristic
512C22×C3C2×D3×A411yescharacteristic
513C2×D3—38no—
514C2×D3—34no—
515C2×D3—34no—
516C2×D3—32no—
517C2×D3—34no—
518C2×D3—38no—
519C2×D3—34no—
520C2×D3—34no—
521C2×D3Dic3×A414yesdirect product factor
522C2×D3C2×D3×A412yes—
523A4—21no—
524A4—21no—
525A4—41no—
526A4C2×D3×Dic311yescharacteristic, direct product factor
527C3×C4—32no—
528C3×C4—92no—
529C3×C4—122no—
530C3×C4—242no—
531C3×C4—362no—
532Dic3—32no—
533Dic3—32no—
534Dic3—32no—
535Dic3—62no—
536Dic3—92no—
537Dic3—92no—
538Dic3—182no—
539Dic3C2×D3×A412yesdirect product factor
540C32—41no—
541C32—41no—
542C32—81no—
543C32—81no—
544C32—81no—
545C32—161no—
546C32C22×C4×A411yescharacteristic, complemented
547C23—31no—
548C23—32no—
549C23—31no—
550C23—31no—
551C23—34no—
552C23—92no—
553C23—92no—
554C23—94no—
555C23—94no—
556C23—92no—
557C23—98no—
558C23—94no—
559C23—94no—
560C23—92no—
561C23—98no—
562C23—94no—
563C23—91no—
564C23C3×D3×Dic312yescomplemented
565C23C2×C3×D3211yescharacteristic
566C2×C4—31no—
567C2×C4—92no—
568C2×C4—92no—
569C2×C4—94no—
570C2×C4—92no—
571C2×C4—91no—
572C2×C4—91no—
573C2×C4—92no—
574C2×C4—274no—
575C2×C4—274no—
576C2×C4—272no—
577C2×C4—274no—
578C2×C4—272no—
579C2×C4—278no—
580C2×C4—272no—
581C2×C4—271no—
582C2×C4—272no—
583C2×C3—21no—
584C2×C3—22no—
585C2×C3—31no—
586C2×C3—32no—
587C2×C3—31no—
588C2×C3—34no—
589C2×C3—31no—
590C2×C3—32no—
591C2×C3—31no—
592C2×C3—41no—
593C2×C3—42no—
594C2×C3—61no—
595C2×C3—61no—
596C2×C3—62no—
597C2×C3—81no—
598C2×C3—81no—
599C2×C3—82no—
600C2×C3—82no—
601C2×C3—94no—
602C2×C3—124no—
603C2×C3—161no—
604C2×C3—162no—
605C2×C3—244no—
606C2×C3C4×D3×A412yescomplemented
607C2×C3C2×Dic3×A412yescomplemented
608C2×C3C22×D3×A411yescharacteristic
609C2×C3C22×D3×A411yescharacteristic
610D3—34no—
611D3C2×Dic3×A414yesdirect product factor
612C22—32no—
613C22—31no—
614C22—32no—
615C22—31no—
616C22—31no—
617C22—32no—
618C22—32no—
619C22—32no—
620C22—34no—
621C22—94no—
622C22—94no—
623C22—98no—
624C22—94no—
625C22—94no—
626C22—98no—
627C22—92no—
628C22—94no—
629C22C2×C3×D3×Dic311yescharacteristic, complemented
630C22D32×A411yescharacteristic
631C4—32no—
632C4—92no—
633C4—92no—
634C4—272no—
635C3—21no—
636C3—41no—
637C3—81no—
638C3—81no—
639C3—161no—
640C3C2×C4×D3×A411yescharacteristic, complemented
641C3C22×Dic3×A411yescharacteristic, complemented
642C2—31no—
643C2—32no—
644C2—31no—
645C2—34no—
646C2—94no—
647C2D3×Dic3×A412yesdirect product factor
648C2C2×D32×A411yescharacteristic
subgroupG/H
center, hypercenterC22D32×A4
commutator, hypocenterC22×C32C22×C3×C4
FrattiniC2C2×D32×A4
Fitting, socleC24×C32C22×C3
prime radicalC22×C3×D3×A4C2
cosocleC23×C32C23×C3
LCSG ▷ C22×C32
UCSC1 ◁ C22

Complements

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

NH ≅ G/Ntype
2. C2×A4×C3⋊Dic3C2semidirect
3. C2×C3×Dic3×A4C2semidirect
4. D3×Dic3×A4C2direct (N × H)
5. C23×D3×Dic3C3semidirect
9. C2×C3×D3×A4C4semidirect
12. A4×C3⋊Dic3C22semidirect
13. C3×Dic3×A4C22semidirect
18. C23×C3⋊Dic3C2×C3semidirect
19. C23×C3×Dic3C2×C3semidirect
26. C22×D3×Dic3C2×C3semidirect
32. C2×Dic3×A4D3direct (N × H)
35. C2×C32×A4C2×C4semidirect
37. C3×D3×A4C2×C4semidirect
49. C23×C3×D3C3×C4semidirect
61. C2×D3×A4Dic3direct (N × H)
66. C22×C3⋊Dic3C22×C3semidirect
71. C22×C3×Dic3C22×C3semidirect
86. C2×D3×Dic3A4direct (N × H)
91. Dic3×A4C2×D3direct (N × H)
95. C32×A4C22×C4semidirect
112. C23×Dic3C3×D3semidirect
127. C23×C32C2×C3×C4semidirect
143. C22×C3×D3C2×C3×C4semidirect
154. C2×C3×A4C4×D3semidirect
155. C2×C3×A4C2×Dic3semidirect
159. D3×A4C2×Dic3direct (N × H)
166. C2×C3⋊Dic3C2×A4semidirect
178. C2×C3×Dic3C2×A4semidirect
184. D3×Dic3C2×A4direct (N × H)
202. C23×D3C3×Dic3semidirect
245. C22×Dic3C2×C3×D3semidirect
277. C22×C32C22×C3×C4semidirect
291. C2×C3×D3C4×A4semidirect
297. C3×A4C2×C4×D3semidirect
298. C3×A4C22×Dic3semidirect
301. C3⋊Dic3C22×A4semidirect
308. C3×Dic3C22×A4semidirect
346. C23×C3C3×C4×D3semidirect
347. C23×C3C2×C3×Dic3semidirect
362. C22×D3C2×C3×Dic3semidirect
372. C2×A4D3×Dic3direct (N × H)
412. C2×Dic3D3×A4direct (N × H)
434. C2×C32C2×C4×A4semidirect
439. C3×D3C2×C4×A4semidirect
509. C22×C3C2×C3×C4×D3semidirect
510. C22×C3C22×C3×Dic3semidirect
521. C2×D3Dic3×A4direct (N × H)
526. A4C2×D3×Dic3direct (N × H)
539. Dic3C2×D3×A4direct (N × H)
546. C32C22×C4×A4semidirect
564. C23C3×D3×Dic3semidirect
606. C2×C3C4×D3×A4semidirect
607. C2×C3C2×Dic3×A4semidirect
611. D3C2×Dic3×A4direct (N × H)
629. C22C2×C3×D3×Dic3semidirect
640. C3C2×C4×D3×A4semidirect
641. C3C22×Dic3×A4semidirect
647. C2D3×Dic3×A4direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×D3×A42
C2×A4×C3⋊Dic32
C2×C3×Dic3×A42
D3×Dic3×A42
C23×D3×Dic33
C22×Dic3×A43
C2×C4×D3×A43
C2×C3×D3×Dic34