Finite Group Databasebeta

← D3×#4918 #11899596

Subgroups — D3×#4918 #11899596

Order 1152.

761 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#919C211yesmaximal, characteristic
2D32×Q16C211yesmaximal, characteristic, complemented
3#10592617C211yesmaximal, characteristic, complemented
4C3×#4918C211yesmaximal, characteristic, complemented
5C3×D3×Q32C211yesmaximal, characteristic, complemented
6#10591050C211yesmaximal, characteristic, complemented
7#10591047C211yesmaximal, characteristic, complemented
8#10591044C211yesmaximal, characteristic, complemented
9#10591042C211yesmaximal, characteristic, complemented
10D3×#829C211yesmaximal, characteristic, complemented
11D3×#828C211yesmaximal, characteristic, complemented
12#10590246C211yesmaximal, characteristic, complemented
13#10590238C211yesmaximal, characteristic, complemented
14D3×#800C211yesmaximal, characteristic, complemented
15D3×#798C211yesmaximal, characteristic, complemented
16D3×#510—31nomaximal
17C2×#4918—31nomaximal
18D3×#239—21no—
19D32×Q8—21no—
20#64128C2211yescharacteristic
21Q16×C3⋊D3C2211yescharacteristic, complemented
22C3×#919C2211yescharacteristic
23C3×D3×Q16C2211yescharacteristic
24C3×D3×Q16C2211yescharacteristic
25C3×D3×Q16C2211yescharacteristic, complemented
26#63950—21no—
27#63949—21no—
28#63944—21no—
29D3×#216—21no—
30D3×#216—21no—
31D3×#215—21no—
32#63810C2211yescharacteristic
33#63808C2211yescharacteristic
34#63802C2211yescharacteristic, complemented
35D3×Dic12C2211yescharacteristic
36D3×Dic12C2211yescharacteristic, complemented
37D3×D24C2211yescharacteristic
38D32×C8C2211yescharacteristic
39C32×Q32C2211yescharacteristic, complemented
40#63656C2211yescharacteristic, complemented
41#63655C2211yescharacteristic, complemented
42#63627C2211yescharacteristic, complemented
43#63625C2211yescharacteristic, complemented
44C3×#829C2211yescharacteristic, complemented
45C3×#829C2211yescharacteristic, complemented
46C3×#829C2211yescharacteristic, complemented
47C3×#828C2211yescharacteristic, complemented
48C3×Dic24C2211yescharacteristic, complemented
49C3×#800C2211yescharacteristic, complemented
50C3×#798C2211yescharacteristic, complemented
51C3×D3×C16C2211yescharacteristic
52#63551C2211yescharacteristic, complemented
53#63550C2211yescharacteristic, complemented
54#63549C2211yescharacteristic, complemented
55#63549C2211yescharacteristic, complemented
56#63548C2211yescharacteristic, complemented
57#63547C2211yescharacteristic, complemented
58#63544C2211yescharacteristic, complemented
59#63543C2211yescharacteristic, complemented
60D3×C3⋊C16C2211yescharacteristic
61D3×#135—31no—
62C2×#919—31no—
63C2×D3×Q16—31no—
64C2×D3×Q16—31no—
65C3×#510—31no—
66C2×C3×Q32—31no—
67#5195—31no—
68C2×#829—31no—
69#5179—31no—
70C2×#828—31no—
71#4918—31no—
72#4918—31no—
73#4918—31no—
74#4918—31no—
75#4918—31no—
76#4918—31no—
77#4918—31no—
78#4918—31no—
79#4918—31no—
80#4918—61no—
81#4918D311yescharacteristic, direct product factor
82D3×Q32—31no—
83D3×Q32D311yescharacteristic, complemented
84#4915—31no—
85#4915—31no—
86D3×SD32—31no—
87D3×SD32—31no—
88#4909—31no—
89D3×M32—31no—
90C2×#800—31no—
91C2×#798—31no—
92#3832—21no—
93Q8×C3⋊D3—21no—
94C3×#239—21no—
95C3×D3×Q8—21no—
96C3×D3×Q8—21no—
97C3×D3×Q8—21no—
98D3×D12—21no—
99D3×D12—41no—
100C4×D32—41no—
101C4×D32—41no—
102C4×D32D411yescharacteristic
103#3799—21no—
104#3799—41no—
105#3797—21no—
106#3797—41no—
107#3796—21no—
108#3796—41no—
109D3×Dic6—21no—
110D3×Dic6—21no—
111D3×Dic6—41no—
112D3×Dic6—41no—
113C32×Q16C2311yescharacteristic
114C32×Q16C2311yescharacteristic
115#3756—21no—
116#3755—21no—
117#3746C2311yescharacteristic
118#3745C2311yescharacteristic
119C8×C3⋊D3C2311yescharacteristic
120C3×#216—21no—
121C3×#216—21no—
122C3×#216—21no—
123C3×#215—21no—
124C3×Dic12C2311yescharacteristic
125C3×Dic12C2311yescharacteristic
126C3×Dic12C2311yescharacteristic
127C3×D24C2311yescharacteristic
128C3×D3×C8C2311yescharacteristic
129C3×D3×C8C2311yescharacteristic
130#3719—21no—
131#3719—21no—
132#3718—21no—
133#3717—21no—
134#3715—21no—
135#3714—21no—
136#3710D411yescharacteristic
137D3×C3⋊C8D411yescharacteristic
138D3×C3⋊C8D411yescharacteristic
139C32×C16C2311yescharacteristic
140C3⋊(C3⋊C16)C2311yescharacteristic
141C3×C3⋊C16C2311yescharacteristic
142C3×C3⋊C16C2311yescharacteristic
143C2×#510—91noSylow
144D3×#41—61no—
145C2×#239—61no—
146C2×D3×Q8—61no—
147C2×D3×Q8—61no—
148C3×#135—31no—
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C2×C3×Q16—31no—
152#950—61no—
153C2×#216—61no—
154C2×#216—61no—
155C2×#215—61no—
156#919—31no—
157#919—31no—
158#919—31no—
159#919—31no—
160#919—61no—
161#919—61no—
162#919—61no—
163#919C2×D311yescharacteristic
164D3×Q16—31no—
165D3×Q16—31no—
166D3×Q16—31no—
167D3×Q16—31no—
168D3×Q16—31no—
169D3×Q16—31no—
170D3×Q16—61no—
171D3×Q16—61no—
172D3×Q16—61no—
173D3×Q16—61no—
174D3×Q16—61no—
175D3×Q16C2×D311yescharacteristic
176D3×Q16C2×D311yescharacteristic
177D3×Q16C2×D311yescharacteristic, complemented
178#916—61no—
179D3×SD16—61no—
180#912—31no—
181D3×D8—31no—
182C2×Dic12—31no—
183C2×Dic12—31no—
184#904—31no—
185C2×D24—31no—
186C2×D3×C8—31no—
187C2×D3×C8—31no—
188C3×Q32—21no—
189C3×Q32—31no—
190C3×Q32—31no—
191C3×Q32—31no—
192C3×Q32—31no—
193C3×Q32C2×D311yescharacteristic, complemented
194C3×Q32C2×D311yescharacteristic, complemented
195C3×SD32—31no—
196C3×SD32—31no—
197C3×M32—31no—
198C2×C3×C16—31no—
199#829—31no—
200#829—31no—
201#829—31no—
202#829—31no—
203#829—31no—
204#829—61no—
205#829C2×D311yescharacteristic, complemented
206#829C2×D311yescharacteristic, complemented
207#829C2×D311yescharacteristic, complemented
208#828—31no—
209#828—31no—
210#828—31no—
211#828—31no—
212#828—31no—
213#828—61no—
214#828C2×D311yescharacteristic, complemented
215#827—31no—
216#827—31no—
217#812—31no—
218C2×C3⋊C16—31no—
219Dic24—31no—
220Dic24C2×D311yescharacteristic, complemented
221#800—31no—
222#800—31no—
223#800—31no—
224#800—31no—
225#800—31no—
226#800—61no—
227#800C2×D311yescharacteristic, complemented
228#798—31no—
229#798—31no—
230#798—31no—
231#798—31no—
232#798—31no—
233#798—61no—
234#798C2×D311yescharacteristic, complemented
235D3×C16—31no—
236D3×C16C2×D311yescharacteristic
237C2×D32—41no—
238C2×D32D811yescharacteristic
239C32×Q8—21no—
240C32×Q8—21no—
241C4⋊(C3⋊D3)—21no—
242C4⋊(C3⋊D3)—41no—
243C4×C3⋊D3—41no—
244C4×C3⋊D3—41no—
245C4×C3⋊D3C2×D411yescharacteristic
246#634—21no—
247#634—41no—
248C3×D12—21no—
249C3×D12—41no—
250C3×C4×D3—41no—
251C3×C4×D3—41no—
252C3×C4×D3—41no—
253C3×C4×D3—41no—
254C3×C4×D3C2×D411yescharacteristic
255C3×C4×D3C2×D411yescharacteristic
256C3×Dic6—21no—
257C3×Dic6—21no—
258C3×Dic6—21no—
259C3×Dic6—41no—
260C3×Dic6—41no—
261C3×Dic6—41no—
262#627—41no—
263#627—41no—
264#627—41no—
265#626—41no—
266#626—41no—
267#626—41no—
268#624—41no—
269#624—41no—
270#624D811yescharacteristic
271D3×Dic3—41no—
272D3×Dic3—41no—
273D3×Dic3—41no—
274D3×Dic3D811yescharacteristic
275D3×Dic3D811yescharacteristic
276C32×C8C2411yescharacteristic
277C3⋊(C3⋊C8)C2×D411yescharacteristic
278C3×C3⋊C8C2×D411yescharacteristic
279C3×C3⋊C8C2×D411yescharacteristic
280C2×#135—91no—
281C22×Q16—91no—
282#510—31no—
283#510—91no—
284#510—91no—
285#510—91no—
286#510—91no—
287#510—91no—
288#510—91no—
289#510—91no—
290C2×Q32—31no—
291C2×Q32—91no—
292C2×SD32—91no—
293C2×SD32—91no—
294C2×M32—91no—
295C3×#41—61no—
296C2×C3×Q8—61no—
297C2×C3×Q8—61no—
298C2×C3×Q8—61no—
299#239—21no—
300#239—61no—
301#239—61no—
302#239—61no—
303#239—61no—
304#239—121no—
305#239—121no—
306#239—121no—
307D3×Q8—21no—
308D3×Q8—21no—
309D3×Q8—21no—
310D3×Q8—61no—
311D3×Q8—61no—
312D3×Q8—61no—
313D3×Q8—61no—
314D3×Q8—61no—
315D3×Q8—61no—
316D3×Q8—121no—
317D3×Q8—121no—
318D3×Q8—121no—
319D3×Q8—121no—
320D3×Q8—121no—
321#237—61no—
322#237—121no—
323D3×D4—61no—
324D3×D4—121no—
325#235—61no—
326#235—121no—
327C2×D12—61no—
328C2×D12—121no—
329C2×C4×D3—31no—
330C2×C4×D3—31no—
331C2×C4×D3—121no—
332C2×C4×D3—121no—
333C2×C4×D3—121no—
334C2×C4×D3—121no—
335C2×Dic6—61no—
336C2×Dic6—61no—
337C2×Dic6—121no—
338C2×Dic6—121no—
339C3×Q16—21no—
340C3×Q16—21no—
341C3×Q16—31no—
342C3×Q16—31no—
343C3×Q16—31no—
344C3×Q16—61no—
345C3×Q16—61no—
346C3×Q16—61no—
347C3×Q16C22×D311yescharacteristic
348C3×Q16C22×D311yescharacteristic
349C3×Q16C22×D311yescharacteristic
350C3×Q16C22×D311yescharacteristic
351C3×SD16—61no—
352C3×D8—31no—
353C2×C3×C8—31no—
354C2×C3×C8—31no—
355#216—21no—
356#216—21no—
357#216—21no—
358#216—61no—
359#216—61no—
360#216—61no—
361#216—61no—
362#216—61no—
363#216—61no—
364#216—121no—
365#215—21no—
366#215—61no—
367#215—61no—
368#215—61no—
369#215—61no—
370#215—121no—
371#214—61no—
372#213—61no—
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375Dic12—31no—
376Dic12—31no—
377Dic12—61no—
378Dic12—61no—
379Dic12—61no—
380Dic12C22×D311yescharacteristic
381Dic12C22×D311yescharacteristic
382Dic12C22×D311yescharacteristic
383D24—31no—
384D24—31no—
385D24—61no—
386D24—61no—
387D24C22×D311yescharacteristic
388#204—61no—
389D3×C8—31no—
390D3×C8—31no—
391D3×C8—31no—
392D3×C8—31no—
393D3×C8—31no—
394D3×C8—31no—
395D3×C8—61no—
396D3×C8C22×D311yescharacteristic
397D3×C8C22×D311yescharacteristic
398C3×C16—21no—
399C3×C16—31no—
400C3×C16—31no—
401C3×C16C22×D311yescharacteristic
402C3×C16C22×D311yescharacteristic
403C3⋊C16—31no—
404C3⋊C16—31no—
405C3⋊C16—61no—
406C3⋊C16C22×D311yescharacteristic
407C3⋊C16C22×D311yescharacteristic
408C2×C3⋊D3—41no—
409C2×C3⋊D3C2×D811yescharacteristic
410C2×C3×D3—41no—
411C2×C3×D3C2×D811yescharacteristic
412C2×C3×D3C2×D811yescharacteristic
413D32—22no—
414D32—82no—
415C32×C4—41no—
416C32×C4—41no—
417C32×C4C22×D411yescharacteristic
418C3⋊Dic3—41no—
419C3⋊Dic3C2×D811yescharacteristic
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3C2×D811yescharacteristic
424C3×Dic3C2×D811yescharacteristic
425C2×#41—181no—
426C22×Q8—181no—
427#135—31no—
428#135—91no—
429#135—91no—
430#135—91no—
431#135—181no—
432#135—181no—
433C2×Q16—31no—
434C2×Q16—31no—
435C2×Q16—31no—
436C2×Q16—91no—
437C2×Q16—91no—
438C2×Q16—91no—
439C2×Q16—91no—
440C2×Q16—181no—
441C2×Q16—181no—
442C2×Q16—181no—
443C2×SD16—181no—
444C2×D8—91no—
445C22×C8—91no—
446Q32—31no—
447Q32—31no—
448Q32—31no—
449Q32—31no—
450Q32—91no—
451Q32—91no—
452Q32—91no—
453Q32D3211yescharacteristic, complemented
454SD32—31no—
455SD32—31no—
456SD32—91no—
457SD32—91no—
458SD32—91no—
459SD32—91no—
460SD32—91no—
461SD32—91no—
462M32—31no—
463M32—91no—
464M32—91no—
465M32—91no—
466C2×C16—31no—
467C2×C16—91no—
468C22×D3—31no—
469C22×D3—31no—
470C22×D3—121no—
471C22×D3—121no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—41no—
477C3×Q8—41no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—61no—
481C3×Q8—121no—
482C3×Q8—121no—
483C3×Q8—121no—
484C3×D4—61no—
485C3×D4—121no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—121no—
489C2×C3×C4—121no—
490C2×C3×C4—121no—
491C2×C3×C4—121no—
492#67—121no—
493#67—121no—
494#67—121no—
495C2×Dic3—31no—
496C2×Dic3—31no—
497C2×Dic3—121no—
498C2×Dic3—121no—
499C2×Dic3—121no—
500D12—21no—
501D12—41no—
502D12—61no—
503D12—61no—
504D12—121no—
505D12—121no—
506D12—121no—
507D12—121no—
508D12—121no—
509D12—121no—
510D12—241no—
511C4×D3—31no—
512C4×D3—31no—
513C4×D3—31no—
514C4×D3—31no—
515C4×D3—31no—
516C4×D3—31no—
517C4×D3—41no—
518C4×D3—41no—
519C4×D3—41no—
520C4×D3—41no—
521C4×D3—61no—
522C4×D3—121no—
523C4×D3—121no—
524C4×D3—121no—
525C4×D3—121no—
526C4×D3—121no—
527C4×D3—121no—
528C4×D3—121no—
529C4×D3—121no—
530C4×D3—121no—
531C4×D3—121no—
532C4×D3—121no—
533C4×D3—241no—
534C4×D3—241no—
535C4×D3D3×D411yescharacteristic
536C4×D3D3×D411yescharacteristic
537Dic6—21no—
538Dic6—21no—
539Dic6—21no—
540Dic6—41no—
541Dic6—41no—
542Dic6—41no—
543Dic6—61no—
544Dic6—61no—
545Dic6—121no—
546Dic6—121no—
547Dic6—121no—
548Dic6—121no—
549Dic6—121no—
550Dic6—121no—
551Dic6—121no—
552Dic6—121no—
553Dic6—121no—
554Dic6—241no—
555C3×C8—21no—
556C3×C8—31no—
557C3×C8—31no—
558C3×C8C23×D311yescharacteristic
559C3×C8C23×D311yescharacteristic
560C3⋊C8—31no—
561C3⋊C8—31no—
562C3⋊C8—61no—
563C3⋊C8D3×D411yescharacteristic
564C3⋊C8D3×D411yescharacteristic
565C2×C32C22×D811yescharacteristic
566C3⋊D3—21no—
567C3⋊D3—81no—
568C3×D3—21no—
569C3×D3—81no—
570C3×D3#51012yescomplemented
571#41—61no—
572#41—181no—
573#41—181no—
574#41—181no—
575#41—361no—
576#41—361no—
577C2×Q8—61no—
578C2×Q8—61no—
579C2×Q8—61no—
580C2×Q8—181no—
581C2×Q8—181no—
582C2×Q8—181no—
583C2×Q8—181no—
584C2×Q8—361no—
585C2×Q8—361no—
586C2×Q8—361no—
587C2×D4—181no—
588C2×D4—361no—
589C22×C4—91no—
590C22×C4—361no—
591C22×C4—361no—
592Q16—31no—
593Q16—31no—
594Q16—31no—
595Q16—61no—
596Q16—61no—
597Q16—61no—
598Q16—91no—
599Q16—181no—
600Q16—181no—
601Q16—181no—
602Q16—181no—
603Q16C2×D3211yescharacteristic
604Q16C2×D3211yescharacteristic
605SD16—61no—
606SD16—181no—
607SD16—181no—
608SD16—181no—
609D8—31no—
610D8—91no—
611D8—181no—
612C2×C8—31no—
613C2×C8—31no—
614C2×C8—91no—
615C2×C8—91no—
616C2×C8—91no—
617C2×C8—91no—
618C16—31no—
619C16—31no—
620C16—91no—
621C16C2×D3211yescharacteristic
622C22×C3—31no—
623C22×C3—31no—
624C22×C3—121no—
625C2×D3—31no—
626C2×D3—31no—
627C2×D3—41no—
628C2×D3—61no—
629C2×D3—62no—
630C2×D3—62no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—241no—
634C2×D3—242no—
635C2×D3—242no—
636C2×D3D3×D811yescharacteristic
637C2×D3D3×D811yescharacteristic
638C3×C4—21no—
639C3×C4—31no—
640C3×C4—31no—
641C3×C4—41no—
642C3×C4—41no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—81no—
646C3×C4—81no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×D3×D411yescharacteristic
651C3×C4C2×D3×D411yescharacteristic
652Dic3—31no—
653Dic3—31no—
654Dic3—41no—
655Dic3—41no—
656Dic3—41no—
657Dic3—61no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3D3×D811yescharacteristic
662Dic3D3×D811yescharacteristic
663C32C2×#51011yescharacteristic, complemented, Sylow
664C23—91no—
665C23—361no—
666Q8—21no—
667Q8—21no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—121no—
672Q8—121no—
673Q8—121no—
674Q8—181no—
675Q8—361no—
676Q8—361no—
677Q8—361no—
678Q8—361no—
679D4—61no—
680D4—121no—
681D4—181no—
682D4—361no—
683D4—361no—
684D4—361no—
685D4—361no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—91no—
689C2×C4—91no—
690C2×C4—91no—
691C2×C4—91no—
692C2×C4—121no—
693C2×C4—121no—
694C2×C4—121no—
695C2×C4—121no—
696C2×C4—361no—
697C2×C4—361no—
698C2×C4—361no—
699C2×C4—361no—
700C2×C4—361no—
701C2×C4—361no—
702C2×C4—361no—
703C8—31no—
704C8—31no—
705C8—91no—
706C8C22×D3211yescharacteristic
707C2×C3—21no—
708C2×C3—32no—
709C2×C3—61no—
710C2×C3—241no—
711C2×C3C2×D3×D811yescharacteristic
712C2×C3C2×D3×D811yescharacteristic
713D3—21no—
714D3—61no—
715D3—61no—
716D3—81no—
717D3—121no—
718D3—241no—
719D3—241no—
720D3—481no—
721D3#491812yesdirect product factor
722C22—31no—
723C22—31no—
724C22—91no—
725C22—121no—
726C22—182no—
727C22—361no—
728C22—722no—
729C4—31no—
730C4—31no—
731C4—41no—
732C4—41no—
733C4—91no—
734C4—121no—
735C4—121no—
736C4—121no—
737C4—361no—
738C4D32×D411yescharacteristic
739C3—21no—
740C3C2×#491811yescharacteristic, complemented
741C3D3×#51011yescharacteristic, complemented
742C2—32no—
743C2—61no—
744C2—181no—
745C2—241no—
746C2—721no—
747C2D32×D811yescharacteristic
subgroupG/H
centerC2D32×D8
commutator, cosocleC32×C8C24
FrattiniC8C22×D32
FittingC32×Q32C22
socleC2×C32C22×D8
prime radicalD3×#919C2
hypercenterQ32D32
hypocenterC32C2×#510
LCSG ▷ C32×C8 ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ Q32

Complements

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

NH ≅ G/Ntype
2. D32×Q16C2semidirect
3. #10592617C2semidirect
4. C3×#4918C2semidirect
5. C3×D3×Q32C2semidirect
6. #10591050C2semidirect
7. #10591047C2semidirect
8. #10591044C2semidirect
9. #10591042C2semidirect
10. D3×#829C2semidirect
11. D3×#828C2semidirect
12. #10590246C2semidirect
13. #10590238C2semidirect
14. D3×#800C2semidirect
15. D3×#798C2semidirect
21. Q16×C3⋊D3C22semidirect
25. C3×D3×Q16C22semidirect
34. #63802C22semidirect
36. D3×Dic12C22semidirect
39. C32×Q32C22semidirect
40. #63656C22semidirect
41. #63655C22semidirect
42. #63627C22semidirect
43. #63625C22semidirect
44. C3×#829C22semidirect
45. C3×#829C22semidirect
46. C3×#829C22semidirect
47. C3×#828C22semidirect
48. C3×Dic24C22semidirect
49. C3×#800C22semidirect
50. C3×#798C22semidirect
52. #63551C22semidirect
53. #63550C22semidirect
54. #63549C22semidirect
55. #63549C22semidirect
56. #63548C22semidirect
57. #63547C22semidirect
58. #63544C22semidirect
59. #63543C22semidirect
81. #4918D3direct (N × H)
83. D3×Q32D3semidirect
177. D3×Q16C2×D3semidirect
193. C3×Q32C2×D3semidirect
194. C3×Q32C2×D3semidirect
205. #829C2×D3semidirect
206. #829C2×D3semidirect
207. #829C2×D3semidirect
214. #828C2×D3semidirect
220. Dic24C2×D3semidirect
227. #800C2×D3semidirect
234. #798C2×D3semidirect
453. Q32D32semidirect
570. C3×D3#510semidirect
663. C32C2×#510semidirect
721. D3#4918direct (N × H)
740. C3C2×#4918semidirect
741. C3D3×#510semidirect

Maximal subgroups

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

subgroupindex
D3×#9192
D32×Q162
#105926172
C3×#49182
C3×D3×Q322
#105910502
#105910472
#105910442
#105910422
D3×#8292
D3×#8282
#105902462
#105902382
D3×#8002
D3×#7982
D3×#5103
C2×#49183