Finite Group Databasebeta

← #11899650

Subgroups — #11899650

Order 1152.

770 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D3×#135C211yesmaximal, characteristic, complemented
2D3×#904C211yesmaximal, characteristic, complemented
3#10592893C211yesmaximal, characteristic, complemented
4C3×#5194C211yesmaximal, characteristic, complemented
5#10591047C211yesmaximal, characteristic, complemented
6#10591045C211yesmaximal, characteristic, complemented
7#10591042C211yesmaximal, characteristic, complemented
8#10591038C211yesmaximal, characteristic, complemented
9#10591033C211yesmaximal, characteristic, complemented
10#10591031C211yesmaximal, characteristic, complemented
11#10591028C211yesmaximal, characteristic, complemented
12#10591024C211yesmaximal, characteristic, complemented
13#10590632C211yesmaximal, characteristic, complemented
14#10590629C211yesmaximal, characteristic, complemented
15C2×#63543C211yesmaximal, characteristic, complemented
16#83894—31nomaximal
17#82030—31nomaximal
18C3×D3×#41—21no—
19D3×#235—21no—
20C32×#135C2211yescharacteristic, complemented
21#64113C2211yescharacteristic, complemented
22C3×#950—21no—
23C3×#919C2211yescharacteristic
24C3×D3×Q16C2211yescharacteristic, complemented
25C3×#916—21no—
26C3×D3×SD16—21no—
27C3×#912C2211yescharacteristic
28C3×D3×D8C2211yescharacteristic, complemented
29C3×#904C2211yescharacteristic, complemented
30C3×#904C2211yescharacteristic, complemented
31C2×C3×D3×C8C2211yescharacteristic
32#63829—21no—
33#63808C2211yescharacteristic
34#63807C2211yescharacteristic
35#63806—21no—
36D3×Dic12C2211yescharacteristic, complemented
37D3×D24C2211yescharacteristic, complemented
38D3×#204—21no—
39#63656C2211yescharacteristic, complemented
40#63655C2211yescharacteristic, complemented
41#63654C2211yescharacteristic, complemented
42#63653C2211yescharacteristic, complemented
43C2×C3⋊(C3⋊C16)C2211yescharacteristic, complemented
44C3×#829C2211yescharacteristic, complemented
45C3×#828C2211yescharacteristic, complemented
46C3×#827C2211yescharacteristic, complemented
47C3×#826C2211yescharacteristic, complemented
48C2×C3×C3⋊C16C2211yescharacteristic, complemented
49#63551C2211yescharacteristic, complemented
50#63550C2211yescharacteristic, complemented
51#63549C2211yescharacteristic, complemented
52#63548C2211yescharacteristic, complemented
53#63547C2211yescharacteristic, complemented
54#63547C2211yescharacteristic, complemented
55#63546C2211yescharacteristic, complemented
56#63545C2211yescharacteristic, complemented
57#63543C2211yescharacteristic, complemented
58#63543C2211yescharacteristic, complemented
59#63543C2211yescharacteristic, complemented
60#63543C2211yescharacteristic, complemented
61C2×C3×#135—31no—
62D3×#135—31no—
63D3×#135D311yescharacteristic, complemented
64C2×#904—31no—
65C3×#508—31no—
66#5195—31no—
67#5195—31no—
68#5194—31no—
69#5194—31no—
70#5194—31no—
71#5194—31no—
72#5194—31no—
73#5194—61no—
74#5194D311yescharacteristic, complemented
75#5193—31no—
76#5193—31no—
77#5179—31no—
78#5179—31no—
79#5147—31no—
80#5147—31no—
81C2×#812—31no—
82#4918—31no—
83#4918—31no—
84#4915—31no—
85#4915—31no—
86#4914—31no—
87#4914—31no—
88#4911—31no—
89#4911—31no—
90#4904—31no—
91C2×#798—31no—
92C32×#41—21no—
93#3828—21no—
94C3×#239—21no—
95C3×D3×Q8—21no—
96C3×#237—21no—
97C3×#237—41no—
98C3×D3×D4—21no—
99C3×D3×D4—41no—
100C3×#235—21no—
101C3×#235—21no—
102C3×#235—41no—
103C2×C3×C4×D3—41no—
104C2×C3×C4×D3D411yescharacteristic
105D3×#67—41no—
106#3804—41no—
107D3×D12—21no—
108C4×D32—41no—
109#3799—21no—
110#3798—41no—
111#3795—21no—
112D3×Dic6—21no—
113C32×Q16C2311yescharacteristic
114C32×SD16—21no—
115C32×D8C2311yescharacteristic
116C2×C32×C8C2311yescharacteristic
117#3746C2311yescharacteristic
118#3745C2311yescharacteristic
119#3744—21no—
120C3×#216—21no—
121C3×#215—21no—
122C3×#214—21no—
123C3×#213—21no—
124C2×C3×C3⋊C8D411yescharacteristic
125C3×Dic12C2311yescharacteristic
126C3×Dic12C2311yescharacteristic
127C3×D24C2311yescharacteristic
128C3×D24C2311yescharacteristic
129C3×#204—21no—
130C3×#204—21no—
131C3×D3×C8D411yescharacteristic
132C3×D3×C8D411yescharacteristic
133C3×D3×C8C2311yescharacteristic
134C3×D3×C8C2311yescharacteristic
135#3719—21no—
136#3717—21no—
137#3716—21no—
138#3714—21no—
139C3⋊(C3⋊C16)C2311yescharacteristic
140C3⋊(C3⋊C16)C2311yescharacteristic
141C3×C3⋊C16C2311yescharacteristic
142C3×C3⋊C16C2311yescharacteristic
143#3414—91noSylow
144C2×C3×#41—61no—
145D3×#41—21no—
146D3×#41—61no—
147C2×#235—61no—
148C3×#135—21no—
149C3×#135—31no—
150C3×#135—31no—
151C3×#135—31no—
152C3×#135—31no—
153C3×#135—61no—
154C3×#135—61no—
155C3×#135C2×D311yescharacteristic, complemented
156C3×#135C2×D311yescharacteristic, complemented
157C2×C3×Q16—31no—
158C2×C3×SD16—61no—
159C2×C3×D8—31no—
160C22×C3×C8—31no—
161#950—21no—
162#950—61no—
163#919—31no—
164#919C2×D311yescharacteristic
165D3×Q16—31no—
166D3×Q16C2×D311yescharacteristic, complemented
167#916—21no—
168#916—61no—
169D3×SD16—21no—
170D3×SD16—61no—
171#912—31no—
172#912C2×D311yescharacteristic
173D3×D8—31no—
174D3×D8C2×D311yescharacteristic, complemented
175C2×Dic12—31no—
176#904—31no—
177#904—31no—
178#904—31no—
179#904—31no—
180#904—61no—
181#904—61no—
182#904—61no—
183#904C2×D311yescharacteristic, complemented
184#904C2×D311yescharacteristic, complemented
185C2×D24—31no—
186C2×#204—61no—
187C2×D3×C8C2×D311yescharacteristic
188C3×Q32—31no—
189C3×SD32—31no—
190C3×SD32—31no—
191C3×D16—31no—
192C2×C3×C16—31no—
193#829—31no—
194#829—31no—
195#829—31no—
196#829—31no—
197#829—31no—
198#829—61no—
199#829C2×D311yescharacteristic, complemented
200#828—31no—
201#828—31no—
202#828—31no—
203#828—31no—
204#828—31no—
205#828—61no—
206#828C2×D311yescharacteristic, complemented
207#827—31no—
208#827—31no—
209#827—31no—
210#827—31no—
211#827—31no—
212#827—61no—
213#827C2×D311yescharacteristic, complemented
214#826—31no—
215#826—31no—
216#826—31no—
217#826—31no—
218#826—31no—
219#826—61no—
220#826C2×D311yescharacteristic, complemented
221#812—31no—
222#812—31no—
223#812—31no—
224#812—31no—
225C2×C3⋊C16—31no—
226C2×C3⋊C16—31no—
227C2×C3⋊C16—61no—
228C2×C3⋊C16C2×D311yescharacteristic, complemented
229Dic24—31no—
230#800—31no—
231#800—31no—
232D48—31no—
233#798—31no—
234#798—31no—
235#798—31no—
236#798—31no—
237C22×C3×D3—41no—
238C22×C3×D3D811yescharacteristic
239C2×D32—41no—
240C32×Q8—21no—
241C32×D4—21no—
242C32×D4—41no—
243C2×C32×C4—41no—
244C2×C32×C4C2×D411yescharacteristic
245#638—41no—
246C4⋊(C3⋊D3)—21no—
247C4×C3⋊D3—41no—
248#634—21no—
249C3×#67—41no—
250C3×#67—41no—
251C3×#67—41no—
252C3×#67—41no—
253C2×C3×Dic3—41no—
254C2×C3×Dic3D811yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—41no—
258C3×C4×D3—41no—
259C3×C4×D3—41no—
260C3×C4×D3—41no—
261C3×C4×D3—41no—
262C3×C4×D3D811yescharacteristic
263C3×C4×D3D811yescharacteristic
264C3×C4×D3C2×D411yescharacteristic
265C3×C4×D3C2×D411yescharacteristic
266C3×Dic6—21no—
267C3×Dic6—21no—
268C3×Dic6—41no—
269#627—41no—
270#626—41no—
271#626—41no—
272#625—41no—
273#624—41no—
274D3×Dic3—41no—
275D3×Dic3—41no—
276C32×C8C2×D411yescharacteristic
277C32×C8C2411yescharacteristic
278C3×C3⋊C8C2×D411yescharacteristic
279C3×C3⋊C8C2×D411yescharacteristic
280C2×#135—31no—
281C2×#135—91no—
282#510—91no—
283#510—91no—
284#510—91no—
285#510—91no—
286#509—91no—
287#509—91no—
288#509—91no—
289#509—91no—
290#508—31no—
291#508—91no—
292#508—91no—
293#508—91no—
294C2×M32—91no—
295C3×#41—21no—
296C3×#41—21no—
297C3×#41—41no—
298C3×#41—61no—
299C3×#41—61no—
300C3×#41—61no—
301C3×#41—61no—
302C3×#41—121no—
303C3×#41—121no—
304C2×C3×Q8—61no—
305C2×C3×D4—61no—
306C2×C3×D4—121no—
307C22×C3×C4—31no—
308C22×C3×C4—121no—
309C2×#67—121no—
310#239—21no—
311#239—61no—
312D3×Q8—21no—
313D3×Q8—61no—
314#237—21no—
315#237—41no—
316#237—61no—
317#237—121no—
318D3×D4—21no—
319D3×D4—41no—
320D3×D4—61no—
321D3×D4—121no—
322#235—21no—
323#235—21no—
324#235—41no—
325#235—61no—
326#235—61no—
327#235—61no—
328#235—61no—
329#235—121no—
330#235—121no—
331#235—121no—
332#235—121no—
333C2×D12—61no—
334C2×C4×D3—41no—
335C2×C4×D3—121no—
336C2×C4×D3—121no—
337C2×C4×D3#6711yescharacteristic
338C2×Dic6—61no—
339C3×Q16—21no—
340C3×Q16—31no—
341C3×Q16—31no—
342C3×Q16—61no—
343C3×Q16C22×D311yescharacteristic
344C3×Q16C22×D311yescharacteristic
345C3×SD16—21no—
346C3×SD16—21no—
347C3×SD16—41no—
348C3×SD16—61no—
349C3×SD16—61no—
350C3×SD16—61no—
351C3×SD16—61no—
352C3×D8—21no—
353C3×D8—31no—
354C3×D8—31no—
355C3×D8—61no—
356C3×D8C22×D311yescharacteristic
357C3×D8C22×D311yescharacteristic
358C2×C3×C8—21no—
359C2×C3×C8—31no—
360C2×C3×C8—31no—
361C2×C3×C8—31no—
362C2×C3×C8—31no—
363C2×C3×C8—31no—
364C2×C3×C8C22×D311yescharacteristic
365C2×C3×C8C22×D311yescharacteristic
366#216—21no—
367#216—61no—
368#215—21no—
369#215—61no—
370#214—21no—
371#214—61no—
372#213—21no—
373#213—61no—
374C2×C3⋊C8#6711yescharacteristic
375Dic12—31no—
376Dic12—31no—
377Dic12—61no—
378Dic12—61no—
379Dic12C22×D311yescharacteristic
380Dic12C22×D311yescharacteristic
381D24—31no—
382D24—31no—
383D24—61no—
384D24—61no—
385D24C22×D311yescharacteristic
386D24C22×D311yescharacteristic
387#204—21no—
388#204—21no—
389#204—61no—
390#204—61no—
391#204—61no—
392#204—61no—
393#204—121no—
394D3×C8#6711yescharacteristic
395D3×C8#6711yescharacteristic
396D3×C8C22×D311yescharacteristic
397D3×C8C22×D311yescharacteristic
398C3×C16—31no—
399C3×C16—31no—
400C3⋊C16—31no—
401C3⋊C16—31no—
402C3⋊C16—31no—
403C3⋊C16—31no—
404C3⋊C16—61no—
405C3⋊C16—61no—
406C3⋊C16C22×D311yescharacteristic
407C3⋊C16C22×D311yescharacteristic
408C22×C32—41no—
409C22×C32C2×D811yescharacteristic
410C2×C3⋊D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3—41no—
413C2×C3×D3—41no—
414C2×C3×D3—82no—
415C2×C3×D3C2×D811yescharacteristic
416C2×C3×D3C2×D811yescharacteristic
417D32—82no—
418C32×C4—41no—
419C32×C4C2×D811yescharacteristic
420C32×C4C22×D411yescharacteristic
421C3⋊Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3C2×D811yescharacteristic
425C3×Dic3C2×D811yescharacteristic
426C2×#41—61no—
427C2×#41—181no—
428#135—31no—
429#135—31no—
430#135—31no—
431#135—31no—
432#135—61no—
433#135—61no—
434#135—91no—
435#135—91no—
436#135—91no—
437#135—181no—
438#135—181no—
439#135D3211yescharacteristic, complemented
440C2×Q16—31no—
441C2×Q16—91no—
442C2×SD16—61no—
443C2×SD16—181no—
444C2×D8—31no—
445C2×D8—91no—
446C22×C8—31no—
447Q32—31no—
448Q32—91no—
449Q32—91no—
450Q32—91no—
451SD32—31no—
452SD32—31no—
453SD32—91no—
454SD32—91no—
455SD32—91no—
456SD32—91no—
457SD32—91no—
458SD32—91no—
459D16—31no—
460D16—91no—
461D16—91no—
462D16—91no—
463M32—91no—
464M32—91no—
465M32—91no—
466M32—91no—
467C2×C16—31no—
468C2×C16—91no—
469C23×C3—31no—
470C23×C3—121no—
471C22×D3—41no—
472C22×D3—121no—
473C22×D3—121no—
474C22×D3#21311yescharacteristic
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—41no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—121no—
481C3×D4—21no—
482C3×D4—21no—
483C3×D4—41no—
484C3×D4—41no—
485C3×D4—41no—
486C3×D4—61no—
487C3×D4—61no—
488C3×D4—81no—
489C3×D4—121no—
490C3×D4—121no—
491C3×D4—121no—
492C3×D4—121no—
493C3×D4—121no—
494C2×C3×C4—21no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—41no—
501C2×C3×C4—41no—
502C2×C3×C4—81no—
503C2×C3×C4—121no—
504C2×C3×C4—121no—
505C2×C3×C4—121no—
506C2×C3×C4—121no—
507C2×C3×C4—121no—
508C2×C3×C4D3×D411yescharacteristic
509C2×C3×C4C2×#6711yescharacteristic
510#67—41no—
511#67—41no—
512#67—41no—
513#67—41no—
514#67—121no—
515#67—121no—
516#67—121no—
517#67—121no—
518#67—121no—
519#67—121no—
520#67—241no—
521C2×Dic3—41no—
522C2×Dic3—121no—
523C2×Dic3—121no—
524C2×Dic3#21311yescharacteristic
525D12—21no—
526D12—21no—
527D12—41no—
528D12—61no—
529D12—61no—
530D12—121no—
531D12—121no—
532D12—121no—
533C4×D3—41no—
534C4×D3—41no—
535C4×D3—41no—
536C4×D3—41no—
537C4×D3—121no—
538C4×D3—121no—
539C4×D3—121no—
540C4×D3—121no—
541C4×D3—121no—
542C4×D3—121no—
543C4×D3—241no—
544C4×D3#21311yescharacteristic
545C4×D3#21311yescharacteristic
546C4×D3C2×#6711yescharacteristic
547C4×D3C2×#6711yescharacteristic
548Dic6—21no—
549Dic6—21no—
550Dic6—41no—
551Dic6—61no—
552Dic6—61no—
553Dic6—121no—
554Dic6—121no—
555Dic6—121no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—31no—
559C3×C8—31no—
560C3×C8D3×D411yescharacteristic
561C3×C8C2×#6711yescharacteristic
562C3×C8C23×D311yescharacteristic
563C3×C8C23×D311yescharacteristic
564C3⋊C8C2×#6711yescharacteristic
565C3⋊C8C2×#6711yescharacteristic
566C2×C32—21no—
567C2×C32—81no—
568C2×C32C22×D811yescharacteristic
569C3⋊D3—81no—
570C3×D3—21no—
571C3×D3—21no—
572C3×D3—81no—
573C3×D3—81no—
574#41—21no—
575#41—61no—
576#41—61no—
577#41—61no—
578#41—61no—
579#41—121no—
580#41—121no—
581#41—181no—
582#41—181no—
583#41—181no—
584#41—361no—
585#41—361no—
586C2×Q8—61no—
587C2×Q8—181no—
588C2×D4—61no—
589C2×D4—121no—
590C2×D4—181no—
591C2×D4—361no—
592C22×C4—31no—
593C22×C4—121no—
594C22×C4—361no—
595Q16—31no—
596Q16—31no—
597Q16—61no—
598Q16—91no—
599Q16—181no—
600Q16C2×D3211yescharacteristic
601SD16—21no—
602SD16—61no—
603SD16—61no—
604SD16—61no—
605SD16—61no—
606SD16—181no—
607SD16—181no—
608SD16—181no—
609D8—31no—
610D8—31no—
611D8—61no—
612D8—91no—
613D8—181no—
614D8C2×D3211yescharacteristic
615C2×C8—31no—
616C2×C8—31no—
617C2×C8—31no—
618C2×C8—31no—
619C2×C8—31no—
620C2×C8C2×D3211yescharacteristic
621C16—31no—
622C16—31no—
623C16—91no—
624C16—91no—
625C22×C3—21no—
626C22×C3—31no—
627C22×C3—31no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3—81no—
631C22×C3—121no—
632C22×C3—121no—
633C22×C3—121no—
634C22×C3—242no—
635C22×C3D3×D811yescharacteristic
636C22×C3C2×#21311yescharacteristic
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—82no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—241no—
644C2×D3—242no—
645C2×D3—242no—
646C2×D3C2×#21311yescharacteristic
647C2×D3C2×#21311yescharacteristic
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—31no—
651C3×C4—31no—
652C3×C4—41no—
653C3×C4—41no—
654C3×C4—81no—
655C3×C4—121no—
656C3×C4—121no—
657C3×C4D3×D811yescharacteristic
658C3×C4C2×#21311yescharacteristic
659C3×C4C2×D3×D411yescharacteristic
660C3×C4C22×#6711yescharacteristic
661Dic3—41no—
662Dic3—41no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666Dic3C2×#21311yescharacteristic
667Dic3C2×#21311yescharacteristic
668C32#341411yescharacteristic, complemented, Sylow
669C23—31no—
670C23—121no—
671C23—361no—
672Q8—21no—
673Q8—61no—
674Q8—61no—
675Q8—121no—
676Q8—181no—
677Q8—361no—
678D4—21no—
679D4—41no—
680D4—61no—
681D4—61no—
682D4—121no—
683D4—121no—
684D4—121no—
685D4—121no—
686D4—121no—
687D4—181no—
688D4—361no—
689D4—361no—
690D4—361no—
691D4—361no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—31no—
697C2×C4—41no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—361no—
704C2×C4—361no—
705C2×C4—361no—
706C2×C4—361no—
707C2×C4D3×#6711yescharacteristic
708C8—31no—
709C8—31no—
710C8D3×#6711yescharacteristic
711C8C22×D3211yescharacteristic
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—41no—
716C2×C3—61no—
717C2×C3—61no—
718C2×C3—81no—
719C2×C3—81no—
720C2×C3—161no—
721C2×C3—241no—
722C2×C3—241no—
723C2×C3C2×D3×D811yescharacteristic
724C2×C3C22×#21311yescharacteristic
725D3—21no—
726D3—21no—
727D3—81no—
728D3—81no—
729D3—241no—
730D3—241no—
731D3—481no—
732C22—31no—
733C22—31no—
734C22—41no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—242no—
739C22—361no—
740C22—722no—
741C22D3×#21311yescharacteristic
742C4—31no—
743C4—31no—
744C4—41no—
745C4—121no—
746C4—121no—
747C4—361no—
748C4D3×#21311yescharacteristic
749C4C2×D3×#6711yescharacteristic
750C3—21no—
751C3#8203011yescharacteristic, complemented
752C3#8389411yescharacteristic, complemented
753C2—21no—
754C2—61no—
755C2—61no—
756C2—81no—
757C2—241no—
758C2—241no—
759C2—721no—
760C2C2×D3×#21311yescharacteristic
subgroupG/H
centerC4D3×#213
commutator, cosocleC32×C8C24
FrattiniC8C22×D32
FittingC32×#135C22
socleC2×C32C22×D8
hypercenter#135D32
hypocenterC32#3414
LCSG ▷ C32×C8 ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×C8 ◁ #135

Complements

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

NH ≅ G/Ntype
1. C3×D3×#135C2semidirect
2. D3×#904C2semidirect
3. #10592893C2semidirect
4. C3×#5194C2semidirect
5. #10591047C2semidirect
6. #10591045C2semidirect
7. #10591042C2semidirect
8. #10591038C2semidirect
9. #10591033C2semidirect
10. #10591031C2semidirect
11. #10591028C2semidirect
12. #10591024C2semidirect
13. #10590632C2semidirect
14. #10590629C2semidirect
15. C2×#63543C2semidirect
20. C32×#135C22semidirect
21. #64113C22semidirect
24. C3×D3×Q16C22semidirect
28. C3×D3×D8C22semidirect
29. C3×#904C22semidirect
30. C3×#904C22semidirect
36. D3×Dic12C22semidirect
37. D3×D24C22semidirect
39. #63656C22semidirect
40. #63655C22semidirect
41. #63654C22semidirect
42. #63653C22semidirect
43. C2×C3⋊(C3⋊C16)C22semidirect
44. C3×#829C22semidirect
45. C3×#828C22semidirect
46. C3×#827C22semidirect
47. C3×#826C22semidirect
48. C2×C3×C3⋊C16C22semidirect
49. #63551C22semidirect
50. #63550C22semidirect
51. #63549C22semidirect
52. #63548C22semidirect
53. #63547C22semidirect
54. #63547C22semidirect
55. #63546C22semidirect
56. #63545C22semidirect
57. #63543C22semidirect
58. #63543C22semidirect
59. #63543C22semidirect
60. #63543C22semidirect
63. D3×#135D3semidirect
74. #5194D3semidirect
155. C3×#135C2×D3semidirect
156. C3×#135C2×D3semidirect
166. D3×Q16C2×D3semidirect
174. D3×D8C2×D3semidirect
183. #904C2×D3semidirect
184. #904C2×D3semidirect
199. #829C2×D3semidirect
206. #828C2×D3semidirect
213. #827C2×D3semidirect
220. #826C2×D3semidirect
228. C2×C3⋊C16C2×D3semidirect
439. #135D32semidirect
668. C32#3414semidirect
751. C3#82030semidirect
752. C3#83894semidirect

Maximal subgroups

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

subgroupindex
C3×D3×#1352
D3×#9042
#105928932
C3×#51942
#105910472
#105910452
#105910422
#105910382
#105910332
#105910312
#105910282
#105910242
#105906322
#105906292
C2×#635432
#838943
#820303