Finite Group Databasebeta

← D3×#4854 #11868417

Subgroups — D3×#4854 #11868417

Order 1152.

880 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#888C211yesmaximal, characteristic
2D3×#887C211yesmaximal, characteristic
3#10592553C211yesmaximal, characteristic, complemented
4C3×D3×#106C211yesmaximal, characteristic
5C3×#4854C211yesmaximal, characteristic, complemented
6#10590816C211yesmaximal, characteristic, complemented
7#10590802C211yesmaximal, characteristic, complemented
8D3×#816C211yesmaximal, characteristic
9D3×Dic3⋊C8C211yesmaximal, characteristic
10D3×#810C211yesmaximal, characteristic
11D3×#808C211yesmaximal, characteristic
12#10590556C211yesmaximal, characteristic, complemented
13#10590497C211yesmaximal, characteristic, complemented
14#10590487C211yesmaximal, characteristic, complemented
15#10590431C211yesmaximal, characteristic, complemented
16D3×#475—31nomaximal
17C2×#4854—31nomaximal
18C2×D3×Dic6—21no—
19C2×D3×Dic6C2211yescharacteristic
20#64097C2211yescharacteristic
21#64096C2211yescharacteristic
22C2×C3×D3×C8C2211yescharacteristic
23C3×D3×C4⋊C4C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#888C2211yescharacteristic
26C3×#887C2211yescharacteristic
27#63919C2211yescharacteristic
28#63918C2211yescharacteristic
29D3×C4⋊Dic3C2211yescharacteristic
30D3×Dic3⋊C4—21no—
31D3×Dic3⋊C4—21no—
32C4×D3×Dic3—21no—
33C4×D3×Dic3C2211yescharacteristic
34#63844C2211yescharacteristic
35#63843C2211yescharacteristic
36#63840—21no—
37#63839—21no—
38#63838—21no—
39#63837—21no—
40C2×D3×C3⋊C8C2211yescharacteristic
41C32×#106C2211yescharacteristic
42#63643C2211yescharacteristic
43#63641C2211yescharacteristic
44#63637C2211yescharacteristic
45#63635C2211yescharacteristic
46C3×#817C2211yescharacteristic
47C3×#816C2211yescharacteristic
48C3×Dic3⋊C8C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#808C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63574C2211yescharacteristic
54#63573C2211yescharacteristic
55#63572C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63566C2211yescharacteristic
60#63565C2211yescharacteristic
61D3×C4⋊Q8—31no—
62C4×D3×Q8—31no—
63C2×#888—31no—
64C2×#887—31no—
65C3×#475—31no—
66C2×C3×#106—31no—
67C2×#816—31no—
68C2×Dic3⋊C8—31no—
69#5094—31no—
70#5020—31no—
71C2×#810—31no—
72C2×#808—31no—
73D3×#106—31no—
74D3×#106D311yescharacteristic
75#4854—31no—
76#4854—31no—
77#4854—31no—
78#4854—31no—
79#4854—31no—
80#4854—31no—
81#4854—31no—
82#4854—31no—
83#4854—31no—
84#4854—61no—
85#4854D311yescharacteristic, direct product factor
86#4851—31no—
87D3×C4⋊C8—31no—
88D3×#103—31no—
89D3×#103—31no—
90#4791—31no—
91#4791—31no—
92C2×#634—21no—
93C2×#634C2311yescharacteristic
94C2×C3×C4×D3—21no—
95C2×C3×C4×D3—21no—
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6—21no—
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#627—21no—
101C2×#627—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3D411yescharacteristic
105C2×D3×Dic3D411yescharacteristic
106D3×Dic6—22no—
107D3×Dic6—44no—
108D3×Dic6Q814yescomplemented
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D3×C8—22no—
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137Dic32D411yescharacteristic
138Dic32D411yescharacteristic
139D3×C3⋊C8—22no—
140C2×#475—91noSylow
141C2×D3×Q8—31no—
142C2×D3×Q8—61no—
143C22×Dic6—31no—
144C22×Dic6—61no—
145C22×C3×C8—31no—
146C3×C4⋊Q8—31no—
147C3×C4×Q8—31no—
148C2×C3×C4⋊C4—31no—
149C2×C3×C4⋊C4—31no—
150Q8×Dic3—31no—
151#944—61no—
152C2×C4⋊Dic3—31no—
153C2×Dic3⋊C4—61no—
154C2×Dic3⋊C4—61no—
155C2×C4×Dic3—31no—
156C2×C4×Dic3—61no—
157C22×C3⋊C8—31no—
158C2×D3×C8—31no—
159C2×D3×C8C2×D311yescharacteristic
160D3×C4⋊C4—31no—
161D3×C4⋊C4—61no—
162D3×C4⋊C4—61no—
163D3×C4⋊C4C2×D311yescharacteristic
164D3×C4⋊C4C2×D311yescharacteristic
165#888—31no—
166#888—31no—
167#888—31no—
168#888—31no—
169#888—31no—
170#888—61no—
171#888—61no—
172#888—61no—
173#888—61no—
174#888C2×D311yescharacteristic
175#887—31no—
176#887—31no—
177#887—31no—
178#887—31no—
179#887—61no—
180#887—61no—
181#887—61no—
182#887—61no—
183#887C2×D311yescharacteristic
184C42×D3—31no—
185C42×D3—61no—
186#869—31no—
187C4×Dic6—31no—
188C4×Dic6—61no—
189C3×#106—21no—
190C3×#106—31no—
191C3×#106—31no—
192C3×#106—31no—
193C3×#106—31no—
194C3×#106C2×D311yescharacteristic
195C3×#106C2×D311yescharacteristic
196C3×C4⋊C8—31no—
197C3×#103—31no—
198C3×#103—31no—
199#835—31no—
200#835—31no—
201#817—31no—
202#817C2×D311yescharacteristic
203#816—31no—
204#816—31no—
205#816—31no—
206#816—31no—
207#816—31no—
208#816—61no—
209#816C2×D311yescharacteristic
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8—61no—
216Dic3⋊C8C2×D311yescharacteristic
217#810—31no—
218#810—31no—
219#810—31no—
220#810—31no—
221#810—31no—
222#810—61no—
223#810C2×D311yescharacteristic
224#808—31no—
225#808—31no—
226#808—31no—
227#808—31no—
228#808—31no—
229#808—61no—
230#808C2×D311yescharacteristic
231#808C2×D311yescharacteristic
232#808C2×D311yescharacteristic
233C4⋊(C3⋊C8)—31no—
234C22×C3×D3C2×D411yescharacteristic
235C2×C32×C4—21no—
236C2×C32×C4—21no—
237C2×C32×C4C2411yescharacteristic
238C2×C3⋊Dic3—21no—
239C2×C3⋊Dic3—21no—
240C2×C3⋊Dic3C2×D411yescharacteristic
241C2×C3⋊Dic3C2×D411yescharacteristic
242#634—21no—
243#634—42no—
244#634C2×Q812yescomplemented
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×C4×D3—42no—
253C3×C4×D3—42no—
254C3×C4×D3C2×Q812yes—
255C3×C4×D3#4112yes—
256C3×Dic6—21no—
257C3×Dic6—42no—
258C3×Dic6C2×Q812yescomplemented
259#627—24no—
260#627—42no—
261#627—42no—
262D3×Dic3—24no—
263D3×Dic3—22no—
264D3×Dic3—42no—
265D3×Dic3SD1614yes—
266C32×C8—21no—
267C3⋊(C3⋊C8)—21no—
268C3×C3⋊C8—21no—
269C3×C3⋊C8—21no—
270C2×C4⋊Q8—91no—
271C2×C4×Q8—91no—
272#475—31no—
273#475—91no—
274#475—91no—
275#475—91no—
276#475—91no—
277#475—91no—
278#475—91no—
279#475—91no—
280C2×#106—31no—
281C2×#106—91no—
282C2×C4⋊C8—91no—
283C2×#103—91no—
284C2×#103—91no—
285C2×C3×Q8—31no—
286C2×C3×Q8—61no—
287C22×C3×C4—31no—
288C22×C3×C4—61no—
289C22×C3×C4—61no—
290C22×Dic3—31no—
291C22×Dic3—31no—
292C22×Dic3—61no—
293C22×Dic3—61no—
294D3×Q8—34no—
295D3×Q8—62no—
296D3×Q8—124no—
297C2×C4×D3—21no—
298C2×C4×D3—21no—
299C2×C4×D3—31no—
300C2×C4×D3—31no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3C22×D311yescharacteristic
304C2×Dic6—21no—
305C2×Dic6—31no—
306C2×Dic6—31no—
307C2×Dic6—34no—
308C2×Dic6—61no—
309C2×Dic6—62no—
310C2×Dic6—61no—
311C2×Dic6—61no—
312C2×Dic6—61no—
313C2×Dic6—61no—
314C2×Dic6—61no—
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—121no—
319C2×Dic6—124no—
320C2×Dic6C22×D311yescharacteristic
321C2×C3×C8—21no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8—62no—
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C42—31no—
341C3×C42—61no—
342C4⋊Dic3—31no—
343C4⋊Dic3—31no—
344C4⋊Dic3—61no—
345C4⋊Dic3—61no—
346C4⋊Dic3—61no—
347C4⋊Dic3—61no—
348C4⋊Dic3C22×D311yescharacteristic
349C4⋊Dic3C22×D311yescharacteristic
350C4⋊Dic3C22×D311yescharacteristic
351Dic3⋊C4—21no—
352Dic3⋊C4—21no—
353Dic3⋊C4—21no—
354Dic3⋊C4—21no—
355Dic3⋊C4—61no—
356Dic3⋊C4—61no—
357Dic3⋊C4—61no—
358Dic3⋊C4—61no—
359Dic3⋊C4—61no—
360Dic3⋊C4—61no—
361Dic3⋊C4—61no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—121no—
367Dic3⋊C4—121no—
368C4×Dic3—21no—
369C4×Dic3—31no—
370C4×Dic3—31no—
371C4×Dic3—31no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—31no—
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—121no—
383C4×Dic3C22×D311yescharacteristic
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—61no—
387C2×C3⋊C8—62no—
388C2×C3⋊C8C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390D3×C8—22no—
391D3×C8—62no—
392C22×C32C22×D411yescharacteristic
393C2×C3×D3C22⋊Q812yes—
394C2×C3×D3C2×SD1612yes—
395C2×C3×D3#13712yes—
396C32×C4—41no—
397C32×C4—41no—
398C32×C4C22×Q811yescharacteristic
399C32×C4C2×#4111yescharacteristic
400C3⋊Dic3—22no—
401C3⋊Dic3—21no—
402C3⋊Dic3—41no—
403C3⋊Dic3C2×SD1612yes—
404C3×Dic3—22no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3—41no—
409C3×Dic3C22⋊Q812yes—
410C3×Dic3C2×SD1612yes—
411C22×Q8—91no—
412C22×Q8—181no—
413C22×C8—31no—
414C22×C8—91no—
415C4⋊Q8—31no—
416C4⋊Q8—91no—
417C4⋊Q8—91no—
418C4⋊Q8—91no—
419C4⋊Q8—181no—
420C4⋊Q8—181no—
421C4×Q8—31no—
422C4×Q8—91no—
423C4×Q8—91no—
424C4×Q8—91no—
425C4×Q8—181no—
426C4×Q8—181no—
427C2×C4⋊C4—31no—
428C2×C4⋊C4—31no—
429C2×C4⋊C4—91no—
430C2×C4⋊C4—181no—
431C2×C4⋊C4—181no—
432C2×C42—91no—
433C2×C42—181no—
434#106—31no—
435#106—31no—
436#106—31no—
437#106—31no—
438#106—91no—
439#106—91no—
440#106—91no—
441#106D3211yescharacteristic
442C4⋊C8—31no—
443C4⋊C8—91no—
444C4⋊C8—91no—
445C4⋊C8—91no—
446#103—31no—
447#103—31no—
448#103—91no—
449#103—91no—
450#103—91no—
451#103—91no—
452#103—91no—
453#103—91no—
454C23×C3—31no—
455C22×D3D3×D411yescharacteristic
456C3×Q8—32no—
457C3×Q8—61no—
458C3×Q8—122no—
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—31no—
465C2×C3×C4—31no—
466C2×C3×C4—32no—
467C2×C3×C4—32no—
468C2×C3×C4—31no—
469C2×C3×C4—41no—
470C2×C3×C4—41no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—61no—
474C2×C3×C4—61no—
475C2×C3×C4—122no—
476C2×C3×C4—122no—
477C2×C3×C4C23×D311yescharacteristic
478C2×C3×C4C23×D311yescharacteristic
479C2×Dic3—21no—
480C2×Dic3—21no—
481C2×Dic3—21no—
482C2×Dic3—21no—
483C2×Dic3—31no—
484C2×Dic3—31no—
485C2×Dic3—34no—
486C2×Dic3—31no—
487C2×Dic3—31no—
488C2×Dic3—61no—
489C2×Dic3—61no—
490C2×Dic3—64no—
491C2×Dic3—62no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—121no—
497C2×Dic3—121no—
498C2×Dic3—122no—
499C2×Dic3D3×D411yescharacteristic
500C2×Dic3D3×D411yescharacteristic
501C2×Dic3D3×D411yescharacteristic
502C4×D3—34no—
503C4×D3—42no—
504C4×D3—42no—
505C4×D3—64no—
506C4×D3—62no—
507C4×D3—122no—
508C4×D3#23512yes—
509C4×D3D3×Q812yes—
510Dic6—21no—
511Dic6—32no—
512Dic6—32no—
513Dic6—42no—
514Dic6—62no—
515Dic6—64no—
516Dic6—61no—
517Dic6—61no—
518Dic6—64no—
519Dic6—121no—
520Dic6—122no—
521Dic6—122no—
522Dic6—122no—
523Dic6—122no—
524Dic6—122no—
525Dic6—122no—
526Dic6—242no—
527Dic6D3×Q812yescomplemented
528C3×C8—21no—
529C3×C8—21no—
530C3×C8—41no—
531C3×C8—61no—
532C3×C8—61no—
533C3⋊C8—21no—
534C3⋊C8—21no—
535C3⋊C8—61no—
536C3⋊C8—61no—
537C3⋊C8—121no—
538C2×C32C2×C22⋊Q811yescharacteristic
539C2×C32C22×SD1611yescharacteristic
540C2×C32C2×#13711yescharacteristic
541C3×D3#47514yescomplemented
542C2×Q8—31no—
543C2×Q8—61no—
544C2×Q8—94no—
545C2×Q8—91no—
546C2×Q8—181no—
547C2×Q8—181no—
548C2×Q8—181no—
549C2×Q8—182no—
550C2×Q8—181no—
551C2×Q8—364no—
552C22×C4—31no—
553C22×C4—61no—
554C22×C4—61no—
555C22×C4—91no—
556C22×C4—91no—
557C22×C4—181no—
558C22×C4—181no—
559C2×C8—31no—
560C2×C8—31no—
561C2×C8—62no—
562C2×C8—91no—
563C2×C8—182no—
564C2×C8C2×D3211yescharacteristic
565C4⋊C4—31no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—61no—
572C4⋊C4—91no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4C2×D3211yescharacteristic
581C4⋊C4C2×D3211yescharacteristic
582C42—31no—
583C42—61no—
584C42—91no—
585C42—91no—
586C42—91no—
587C42—181no—
588C42—181no—
589C42—181no—
590C22×C3—21no—
591C22×C3—32no—
592C22×C3—32no—
593C22×C3—32no—
594C22×C3C2×D3×D411yescharacteristic
595C22×C3C2×D3×D411yescharacteristic
596C2×D3#89612yes—
597C2×D3D3×SD1612yes—
598C2×D3#91512yes—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—32no—
602C3×C4—32no—
603C3×C4—41no—
604C3×C4—41no—
605C3×C4—41no—
606C3×C4—41no—
607C3×C4—61no—
608C3×C4—62no—
609C3×C4—81no—
610C3×C4—81no—
611C3×C4—121no—
612C3×C4—121no—
613C3×C4—121no—
614C3×C4C2×#23511yescharacteristic
615C3×C4C2×D3×Q811yescharacteristic
616C3×C4C2×D3×Q811yescharacteristic
617C3×C4D3×#4111yescharacteristic
618Dic3—21no—
619Dic3—22no—
620Dic3—32no—
621Dic3—32no—
622Dic3—41no—
623Dic3—41no—
624Dic3—41no—
625Dic3—62no—
626Dic3—61no—
627Dic3—62no—
628Dic3—61no—
629Dic3—62no—
630Dic3—122no—
631Dic3—121no—
632Dic3—121no—
633Dic3—121no—
634Dic3—241no—
635Dic3#89612yes—
636Dic3D3×SD1612yes—
637C32C2×#47511yescharacteristic, complemented, Sylow
638C23—31no—
639Q8—32no—
640Q8—61no—
641Q8—92no—
642Q8—122no—
643Q8—184no—
644Q8—181no—
645Q8—362no—
646Q8—362no—
647Q8—362no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—31no—
651C2×C4—31no—
652C2×C4—32no—
653C2×C4—32no—
654C2×C4—31no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—94no—
660C2×C4—91no—
661C2×C4—91no—
662C2×C4—122no—
663C2×C4—122no—
664C2×C4—182no—
665C2×C4—184no—
666C2×C4—181no—
667C2×C4—181no—
668C2×C4—362no—
669C2×C4C22×D3211yescharacteristic
670C8—21no—
671C8—61no—
672C8—61no—
673C8—181no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—21no—
677C2×C3—34no—
678C2×C3C2×#89611yescharacteristic
679C2×C3D3×C22⋊Q811yescharacteristic
680C2×C3C2×D3×SD1611yescharacteristic
681C2×C3C2×D3×SD1611yescharacteristic
682C2×C3C2×#91511yescharacteristic
683C2×C3D3×#13711yescharacteristic
684D3#485414yesdirect product factor
685C22—32no—
686C22—32no—
687C22—32no—
688C22D32×D411yescharacteristic
689C4—32no—
690C4—32no—
691C4—41no—
692C4—41no—
693C4—62no—
694C4—61no—
695C4—92no—
696C4—121no—
697C4—121no—
698C4—121no—
699C4—182no—
700C4—181no—
701C4—361no—
702C4D3×#23511yescharacteristic
703C4D32×Q811yescharacteristic
704C3—21no—
705C3C2×#485411yescharacteristic, complemented
706C3D3×#47511yescharacteristic, complemented
707C2—34no—
708C2D3×#89611yescharacteristic
709C2D32×SD1611yescharacteristic
710C2D3×#91511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radicalC22×C3×D3C2×D4
hypercenter#106D32
hypocenterC32C2×#475
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
3. #10592553C2semidirect
5. C3×#4854C2semidirect
6. #10590816C2semidirect
7. #10590802C2semidirect
12. #10590556C2semidirect
13. #10590497C2semidirect
14. #10590487C2semidirect
15. #10590431C2semidirect
85. #4854D3direct (N × H)
108. D3×Dic6Q8semidirect
244. #634C2×Q8semidirect
258. C3×Dic6C2×Q8semidirect
527. Dic6D3×Q8semidirect
541. C3×D3#475semidirect
637. C32C2×#475semidirect
684. D3#4854direct (N × H)
705. C3C2×#4854semidirect
706. C3D3×#475semidirect

Maximal subgroups

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

subgroupindex
D3×#8882
D3×#8872
#105925532
C3×D3×#1062
C3×#48542
#105908162
#105908022
D3×#8162
D3×Dic3⋊C82
D3×#8102
D3×#8082
#105905562
#105904972
#105904872
#105904312
D3×#4753
C2×#48543