Finite Group Databasebeta

← #13149806

Subgroups — #13149806

Order 1728.

993 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11722490C211yesmaximal, characteristic
2#11721776C211yesmaximal, characteristic, complemented
3#64110⋊C3C211yesmaximal, characteristic, complemented
4C2×C8×(C3⋊D3)⋊C3C211yesmaximal, characteristic, complemented
5#11721064C211yesmaximal, characteristic, complemented
6#11721054C211yesmaximal, characteristic, complemented
7#11721053C211yesmaximal, characteristic, complemented
8#11720841C212yesmaximal, complemented
9#11720840C212yesmaximal, complemented
10#11720835C212yesmaximal, complemented
11C8×((C3⋊D3)⋊C3)⋊C2C212yesmaximal, complemented
12#10594669—31nomaximal
13D3×#901—31nomaximal
14#88740C2211yescharacteristic
15#3828⋊C3C2211yescharacteristic
16C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic
17#88676C412yes—
18#88671C412yes—
19#88654C411yescharacteristic
20C4×((C3⋊D3)⋊C3)⋊C2C2212yes—
21#88652C411yescharacteristic
22#88650C2212yes—
23#88648C411yescharacteristic
24((C3⋊D3)⋊C3)⋊Q8C411yescharacteristic
25C2×C8×H(3,𝔽3)C2211yescharacteristic, complemented
26#88538C2211yescharacteristic, complemented
27#88527C2212yescomplemented
28C8×#272C2212yescomplemented
29#3748⋊C3C2211yescharacteristic, complemented
30C2×(C3⋊(C3⋊C8))⋊C3C2211yescharacteristic, complemented
31#3743⋊C3C2212yescomplemented
32C8×(C3⋊D3)⋊C3C2211yescharacteristic
33C8×(C3⋊D3)⋊C3C2211yescharacteristic
34C8×(C3⋊D3)⋊C3C2211yescharacteristic, complemented
35C8×(C3⋊D3)⋊C3C2211yescharacteristic, complemented
36C8×(C3⋊D3)⋊C3C2212yescomplemented
37#88435C2212yescomplemented
38#88434C2212yescomplemented
39#88430C2212yescomplemented
40#88430C2212yescomplemented
41((C3⋊D3)⋊C3)⋊C8C2212yes—
42((C3⋊D3)⋊C3)⋊C8C2212yescomplemented
43#64306—31no—
44D3×#235—31no—
45#64110D311yescharacteristic, complemented
46C2×C8×C3⋊D3D311yescharacteristic, complemented
47C3×#901—31no—
48C3×#901—31no—
49C3×#901—31no—
50C3×#901—61no—
51C2×C3×D3×C8—31no—
52#63818—31no—
53#63817—31no—
54#63815—31no—
55#63815—31no—
56#63814—31no—
57D3×#208—31no—
58#63805—32no—
59#63804—32no—
60#63803—32no—
61#63803—32no—
62#63791—32no—
63D3×ΓL(1,𝔽25)—32no—
64D32×C8—32no—
65D32×C8—32no—
66C22×(C3⋊D3)⋊C3C2×C411yescharacteristic
67C2×((C3⋊D3)⋊C3)⋊C2C2×C412yes—
68C2×C4×H(3,𝔽3)C2311yescharacteristic
69#6235C2×C412yes—
70C4⋊#272C2×C411yescharacteristic
71C4×#272C2312yes—
72#6229C2×C411yescharacteristic
73#638⋊C3C2×C412yes—
74C2×(C3⋊Dic3)⋊C3C2×C411yescharacteristic
75C4⋊((C3⋊D3)⋊C3)C2×C411yescharacteristic
76C4×(C3⋊D3)⋊C3C2×C411yescharacteristic
77C4×(C3⋊D3)⋊C3C2×C411yescharacteristic
78C4×(C3⋊D3)⋊C3C2311yescharacteristic
79C4×(C3⋊D3)⋊C3C2312yes—
80C4×(C3⋊D3)⋊C3C2311yescharacteristic
81#634⋊C3C2×C411yescharacteristic
82#6200C2×C412yes—
83#6200C2×C412yes—
84#6199C2×C412yes—
85#6198C2×C412yes—
86((C3⋊D3)⋊C3)⋊C4C2×C412yes—
87((C3⋊D3)⋊C3)⋊C4C2×C412yes—
88#6196C2×C412yes—
89C8×H(3,𝔽3)C2311yescharacteristic
90C8×H(3,𝔽3)C2311yescharacteristic
91#6180C2312yes—
92(C3⋊(C3⋊C8))⋊C3C2312yes—
93(C3⋊(C3⋊C8))⋊C3C2311yescharacteristic
94(C3⋊(C3⋊C8))⋊C3C2311yescharacteristic
95D3×#131—91no—
96D3×#131—91no—
97C2×#901—91no—
98#3828C2×D311yescharacteristic
99C2×C4×C3⋊D3C2×D311yescharacteristic
100C3×#235—31no—
101C3×#235—31no—
102C3×#235—31no—
103C3×#235—61no—
104C2×C3×C4×D3—31no—
105#3811—32no—
106D3×#67—32no—
107#3805—32no—
108#3804—32no—
109#3802—31no—
110D3×D12—31no—
111C4×D32—32no—
112C4×D32—32no—
113#3799—31no—
114#3798—32no—
115#3798—32no—
116#3797—31no—
117#3796—31no—
118#3796—31no—
119#3795—31no—
120D3×Dic6—31no—
121C2×C32×C8—21no—
122C2×C32×C8C2×D311yescharacteristic, complemented
123C2×C32×C8C2×D311yescharacteristic, complemented
124#3748C2×D311yescharacteristic, complemented
125C2×C3⋊(C3⋊C8)C2×D311yescharacteristic, complemented
126#3743C2×D312yescomplemented
127C8×C3⋊D3C2×D311yescharacteristic
128C8×C3⋊D3C2×D311yescharacteristic
129C8×C3⋊D3C2×D312yescomplemented
130C8×C3⋊D3C2×D311yescharacteristic, complemented
131C8×C3⋊D3C2×D311yescharacteristic, complemented
132C3×#208—31no—
133C3×#208—31no—
134C3×#208—31no—
135C3×#208—61no—
136C2×C3×C3⋊C8—31no—
137C3×ΓL(1,𝔽25)—32no—
138C3×ΓL(1,𝔽25)—32no—
139C3×ΓL(1,𝔽25)—32no—
140C3×ΓL(1,𝔽25)—62no—
141C3×D3×C8—31no—
142C3×D3×C8—31no—
143C3×D3×C8—31no—
144C3×D3×C8—31no—
145C3×D3×C8—32no—
146C3×D3×C8—32no—
147C3×D3×C8—32no—
148C3×D3×C8—62no—
149#3712—32no—
150#3712—32no—
151#3711—32no—
152#3711—32no—
153#3711—32no—
154#3711—32no—
155#3710—32no—
156#3710—32no—
157D3×C3⋊C8—32no—
158D3×C3⋊C8—32no—
159D3×C3⋊C8—32no—
160D3×C3⋊C8—32no—
161C22×H(3,𝔽3)C22×C411yescharacteristic
162C2×#272C22×C412yes—
163C2×(C3⋊D3)⋊C3—22no—
164C2×(C3⋊D3)⋊C3C22×C412yes—
165C2×(C3⋊D3)⋊C3C22×C411yescharacteristic
166C2×(C3⋊D3)⋊C3C22×C411yescharacteristic
167((C3⋊D3)⋊C3)⋊C2—24no—
168C4×H(3,𝔽3)C22×C411yescharacteristic
169C4×H(3,𝔽3)C2411yescharacteristic
170#1084C22×C412yes—
171(C3⋊Dic3)⋊C3C22×C411yescharacteristic
172(C3⋊Dic3)⋊C3C22×C412yes—
173(C3⋊Dic3)⋊C3C22×C411yescharacteristic
174D3×#41—91no—
175D3×#41—91no—
176C2×#235—91no—
177C3×#131—91no—
178C3×#131—91no—
179C22×C3×C8—91no—
180#948—91no—
181#948—91no—
182C2×#208—91no—
183#907—92no—
184#907—92no—
185#907—91no—
186#907—91no—
187D3×M16—92no—
188D3×M16—92no—
189D3×M16—91no—
190D3×M16—91no—
191#901—31no—
192#901—31no—
193#901—31no—
194#901—61no—
195#901—91no—
196#901—92no—
197#901—92no—
198#901—92no—
199#901—92no—
200#901—91no—
201#901—91no—
202C2×ΓL(1,𝔽25)—92no—
203C2×D3×C8—31no—
204C2×D3×C8—91no—
205C2×D3×C8—92no—
206C2×D3×C8—92no—
207C2×D3×C8—92no—
208C22×C3⋊D3C4×D311yescharacteristic
209C22×C3×D3—31no—
210C2×D32—32no—
211C2×D32—32no—
212C2×C32×C4—21no—
213C2×C32×C4C22×D311yescharacteristic
214C2×C32×C4C22×D311yescharacteristic
215#638C4×D312yes—
216C2×C3⋊Dic3C4×D311yescharacteristic
217C4⋊(C3⋊D3)C4×D311yescharacteristic
218C4×C3⋊D3C4×D311yescharacteristic
219C4×C3⋊D3C4×D311yescharacteristic
220C4×C3⋊D3C22×D311yescharacteristic
221C4×C3⋊D3C22×D312yes—
222C4×C3⋊D3C22×D311yescharacteristic
223#634C4×D311yescharacteristic
224C3×#67—32no—
225C3×#67—32no—
226C3×#67—32no—
227C3×#67—62no—
228C2×C3×Dic3—31no—
229C3×D12—31no—
230C3×D12—31no—
231C3×D12—31no—
232C3×D12—61no—
233C3×C4×D3—31no—
234C3×C4×D3—31no—
235C3×C4×D3—31no—
236C3×C4×D3—32no—
237C3×C4×D3—31no—
238C3×C4×D3—32no—
239C3×C4×D3—32no—
240C3×C4×D3—62no—
241C3×Dic6—31no—
242C3×Dic6—31no—
243C3×Dic6—31no—
244C3×Dic6—61no—
245#627—32no—
246#627—32no—
247#626—32no—
248#626—32no—
249#626—32no—
250#626—32no—
251#625—32no—
252#625—32no—
253#624—32no—
254#624—32no—
255D3×Dic3—32no—
256D3×Dic3—32no—
257D3×Dic3—32no—
258D3×Dic3—32no—
259C32×C8—21no—
260C32×C8—21no—
261C32×C8C22×D311yescharacteristic
262C32×C8C22×D311yescharacteristic
263C32×C8C22×D311yescharacteristic
264C32×C8C22×D311yescharacteristic
265C3⋊(C3⋊C8)C22×D311yescharacteristic
266C3⋊(C3⋊C8)C22×D312yes—
267C3⋊(C3⋊C8)C22×D311yescharacteristic
268C3×C3⋊C8—31no—
269C3×C3⋊C8—32no—
270C3×C3⋊C8—31no—
271C3×C3⋊C8—32no—
272C3×C3⋊C8—32no—
273C3×C3⋊C8—62no—
274C2×#131—271noSylow
275C2×H(3,𝔽3)—21no—
276C2×H(3,𝔽3)C23×C411yescharacteristic
277#272—22no—
278(C3⋊D3)⋊C3—22no—
279(C3⋊D3)⋊C3—21no—
280(C3⋊D3)⋊C3#13112yescomplemented
281C3×#41—91no—
282C3×#41—91no—
283C22×C3×C4—91no—
284C2×#67—92no—
285#239—91no—
286#239—91no—
287D3×Q8—91no—
288D3×Q8—91no—
289#237—91no—
290#237—91no—
291#237—92no—
292#237—92no—
293D3×D4—91no—
294D3×D4—91no—
295D3×D4—92no—
296D3×D4—92no—
297#235—31no—
298#235—31no—
299#235—31no—
300#235—61no—
301#235—91no—
302#235—91no—
303#235—92no—
304#235—92no—
305#235—92no—
306#235—91no—
307#235—92no—
308C2×D12—91no—
309C2×C4×D3—31no—
310C2×C4×D3—91no—
311C2×C4×D3—92no—
312C2×C4×D3—92no—
313C2×C4×D3—92no—
314C2×Dic6—91no—
315C3×M16—92no—
316C3×M16—91no—
317C3×M16—91no—
318C3×M16—92no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C2×C3×C8—61no—
322C2×C3×C8—91no—
323C2×C3×C8—92no—
324C2×C3×C8—91no—
325C2×C3×C8—91no—
326C2×C3×C8—91no—
327C2×C3×C8—91no—
328C2×C3×C8—92no—
329C2×C3×C8D3211yescharacteristic
330#208—31no—
331#208—31no—
332#208—31no—
333#208—61no—
334#208—91no—
335#208—92no—
336#208—92no—
337#208—92no—
338C2×C3⋊C8—31no—
339C2×C3⋊C8—91no—
340C2×C3⋊C8—92no—
341C2×C3⋊C8—92no—
342C2×C3⋊C8—92no—
343ΓL(1,𝔽25)—32no—
344ΓL(1,𝔽25)—32no—
345ΓL(1,𝔽25)—32no—
346ΓL(1,𝔽25)—62no—
347ΓL(1,𝔽25)—92no—
348ΓL(1,𝔽25)—92no—
349ΓL(1,𝔽25)—92no—
350ΓL(1,𝔽25)—92no—
351ΓL(1,𝔽25)—92no—
352ΓL(1,𝔽25)—92no—
353ΓL(1,𝔽25)—92no—
354D3×C8—32no—
355D3×C8—32no—
356D3×C8—31no—
357D3×C8—31no—
358D3×C8—31no—
359D3×C8—31no—
360D3×C8—32no—
361D3×C8—62no—
362D3×C8—91no—
363D3×C8—91no—
364D3×C8—92no—
365D3×C8—91no—
366D3×C8—91no—
367D3×C8—92no—
368D3×C8—92no—
369D3×C8—92no—
370D3×C8—92no—
371D3×C8—92no—
372D3×C8—92no—
373C22×C32—21no—
374C22×C32C2×C4×D311yescharacteristic
375C22×C32C2×C4×D311yescharacteristic
376C2×C3⋊D3—22no—
377C2×C3⋊D3C2×C4×D312yes—
378C2×C3⋊D3C2×C4×D311yescharacteristic
379C2×C3⋊D3C2×C4×D311yescharacteristic
380C2×C3×D3—31no—
381C2×C3×D3—32no—
382C2×C3×D3—31no—
383C2×C3×D3—32no—
384C2×C3×D3—32no—
385C2×C3×D3—62no—
386C2×C3×D3—62no—
387D32—64no—
388D32—64no—
389C32×C4—21no—
390C32×C4—21no—
391C32×C4C2×C4×D311yescharacteristic
392C32×C4C2×C4×D311yescharacteristic
393C32×C4C23×D311yescharacteristic
394C32×C4C23×D311yescharacteristic
395C3⋊Dic3C2×C4×D311yescharacteristic
396C3⋊Dic3C2×C4×D312yes—
397C3⋊Dic3C2×C4×D311yescharacteristic
398C3×Dic3—31no—
399C3×Dic3—32no—
400C3×Dic3—31no—
401C3×Dic3—32no—
402C3×Dic3—32no—
403C3×Dic3—62no—
404C2×#41—271no—
405#131—91no—
406#131—91no—
407#131—272no—
408#131—272no—
409#131—271no—
410#131—271no—
411C2×M16—272no—
412C2×M16—271no—
413C22×C8—91no—
414C22×C8—272no—
415H(3,𝔽3)C2×#13111yescharacteristic, complemented, Sylow
416C23×C3—91no—
417C22×D3—31no—
418C22×D3—91no—
419C22×D3—92no—
420C22×D3—92no—
421C22×D3—92no—
422C3×Q8—91no—
423C3×Q8—91no—
424C3×D4—91no—
425C3×D4—92no—
426C3×D4—92no—
427C3×D4—91no—
428C2×C3×C4—31no—
429C2×C3×C4—31no—
430C2×C3×C4—61no—
431C2×C3×C4—91no—
432C2×C3×C4—92no—
433C2×C3×C4—91no—
434C2×C3×C4—91no—
435C2×C3×C4—91no—
436C2×C3×C4—91no—
437C2×C3×C4—92no—
438C2×C3×C4C2×D3211yescharacteristic
439#67—32no—
440#67—32no—
441#67—32no—
442#67—62no—
443#67—92no—
444#67—92no—
445#67—92no—
446#67—92no—
447#67—92no—
448#67—92no—
449#67—92no—
450C2×Dic3—31no—
451C2×Dic3—91no—
452C2×Dic3—92no—
453C2×Dic3—92no—
454C2×Dic3—92no—
455D12—31no—
456D12—31no—
457D12—31no—
458D12—61no—
459D12—91no—
460D12—92no—
461D12—92no—
462D12—92no—
463C4×D3—32no—
464C4×D3—32no—
465C4×D3—31no—
466C4×D3—31no—
467C4×D3—32no—
468C4×D3—31no—
469C4×D3—31no—
470C4×D3—62no—
471C4×D3—91no—
472C4×D3—91no—
473C4×D3—91no—
474C4×D3—91no—
475C4×D3—92no—
476C4×D3—92no—
477C4×D3—92no—
478C4×D3—92no—
479C4×D3—92no—
480C4×D3—92no—
481C4×D3—92no—
482Dic6—31no—
483Dic6—31no—
484Dic6—31no—
485Dic6—61no—
486Dic6—91no—
487Dic6—92no—
488Dic6—92no—
489Dic6—92no—
490C3×C8—31no—
491C3×C8—31no—
492C3×C8—31no—
493C3×C8—31no—
494C3×C8—61no—
495C3×C8—61no—
496C3×C8—91no—
497C3×C8—92no—
498C3×C8—91no—
499C3×C8—92no—
500C3×C8C2×D3211yescharacteristic
501C3×C8C2×D3211yescharacteristic
502C3⋊C8—32no—
503C3⋊C8—32no—
504C3⋊C8—31no—
505C3⋊C8—31no—
506C3⋊C8—32no—
507C3⋊C8—62no—
508C3⋊C8—91no—
509C3⋊C8—91no—
510C3⋊C8—92no—
511C2×C32—21no—
512C2×C32—21no—
513C2×C32—21no—
514C2×C32—41no—
515C2×C32C22×C4×D311yescharacteristic
516C2×C32C22×C4×D311yescharacteristic
517C3⋊D3—21no—
518C3⋊D3—22no—
519C3⋊D3#90112yescomplemented
520C3×D3—32no—
521C3×D3—62no—
522C3×D3—62no—
523C3×D3—61no—
524C3×D3—62no—
525C3×D3—122no—
526#41—91no—
527#41—91no—
528#41—272no—
529#41—272no—
530#41—271no—
531#41—271no—
532C2×Q8—271no—
533C2×D4—271no—
534C2×D4—272no—
535C22×C4—91no—
536C22×C4—272no—
537M16—91no—
538M16—91no—
539M16—92no—
540M16—92no—
541M16—272no—
542M16—272no—
543M16—272no—
544C2×C8—91no—
545C2×C8—91no—
546C2×C8—91no—
547C2×C8—91no—
548C2×C8—91no—
549C2×C8—92no—
550C2×C8—92no—
551C2×C8—272no—
552C2×C8—272no—
553C2×C8—272no—
554C2×C8((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
555C22×C3—31no—
556C22×C3—31no—
557C22×C3—61no—
558C22×C3—91no—
559C22×C3—92no—
560C22×C3—91no—
561C22×C3—92no—
562C22×C3—182no—
563C22×C3C4×D3211yescharacteristic
564C2×D3—31no—
565C2×D3—32no—
566C2×D3—32no—
567C2×D3—31no—
568C2×D3—32no—
569C2×D3—62no—
570C2×D3—62no—
571C2×D3—91no—
572C2×D3—91no—
573C2×D3—92no—
574C2×D3—182no—
575C2×D3—184no—
576C2×D3—184no—
577C2×D3—184no—
578C3×C4—31no—
579C3×C4—31no—
580C3×C4—31no—
581C3×C4—31no—
582C3×C4—61no—
583C3×C4—61no—
584C3×C4—91no—
585C3×C4—92no—
586C3×C4—91no—
587C3×C4—92no—
588C3×C4C4×D3211yescharacteristic
589C3×C4C22×D3211yescharacteristic
590Dic3—32no—
591Dic3—32no—
592Dic3—32no—
593Dic3—31no—
594Dic3—31no—
595Dic3—62no—
596Dic3—91no—
597Dic3—92no—
598Dic3—91no—
599C32—21no—
600C32C2×#90111yescharacteristic, complemented
601C32D3×#13111yescharacteristic, complemented
602C23—91no—
603C23—272no—
604Q8—91no—
605Q8—91no—
606Q8—272no—
607D4—92no—
608D4—92no—
609D4—91no—
610D4—91no—
611D4—272no—
612D4—272no—
613D4—272no—
614C2×C4—91no—
615C2×C4—91no—
616C2×C4—91no—
617C2×C4—92no—
618C2×C4—92no—
619C2×C4—91no—
620C2×C4—91no—
621C2×C4—272no—
622C2×C4—272no—
623C2×C4—272no—
624C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
625C8—91no—
626C8—91no—
627C8—92no—
628C8—92no—
629C8C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
630C8C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
631C2×C3—21no—
632C2×C3—31no—
633C2×C3—31no—
634C2×C3—61no—
635C2×C3—61no—
636C2×C3—61no—
637C2×C3—92no—
638C2×C3—121no—
639C2×C3—182no—
640C2×C3—181no—
641C2×C3—182no—
642C2×C3C2×C4×D3211yescharacteristic
643D3—32no—
644D3—62no—
645D3—62no—
646D3—61no—
647D3—62no—
648D3—92no—
649D3—122no—
650D3—181no—
651D3—182no—
652C22—91no—
653C22—91no—
654C22—92no—
655C22—92no—
656C22—182no—
657C22—544no—
658C22C4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
659C4—91no—
660C4—91no—
661C4—92no—
662C4—92no—
663C4C4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
664C4C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
665C3—31no—
666C3—31no—
667C3—61no—
668C3D3×#90111yescharacteristic
669C2—21no—
670C2—92no—
671C2—181no—
672C2—182no—
673C2—182no—
674C2C2×C4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
subgroupG/H
centerC8C2×((C3⋊D3)⋊C3)⋊C2
commutatorC2×H(3,𝔽3)C23×C4
FrattiniC3×C4C22×D32
FittingC2×C8×H(3,𝔽3)C22
socleC2×C3C2×C4×D32
prime radical#11722490C2
cosocleC4×H(3,𝔽3)C24
hypercenterC2×C8((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)C2×#131
LCSG ▷ C2×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C8 ◁ C2×C8

Complements

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

NH ≅ G/Ntype
2. #11721776C2semidirect
3. #64110⋊C3C2semidirect
4. C2×C8×(C3⋊D3)⋊C3C2semidirect
5. #11721064C2semidirect
6. #11721054C2semidirect
7. #11721053C2semidirect
8. #11720841C2semidirect
9. #11720840C2semidirect
10. #11720835C2semidirect
11. C8×((C3⋊D3)⋊C3)⋊C2C2semidirect
25. C2×C8×H(3,𝔽3)C22semidirect
26. #88538C22semidirect
27. #88527C22semidirect
28. C8×#272C22semidirect
29. #3748⋊C3C22semidirect
30. C2×(C3⋊(C3⋊C8))⋊C3C22semidirect
31. #3743⋊C3C22semidirect
34. C8×(C3⋊D3)⋊C3C22semidirect
35. C8×(C3⋊D3)⋊C3C22semidirect
36. C8×(C3⋊D3)⋊C3C22semidirect
37. #88435C22semidirect
38. #88434C22semidirect
39. #88430C22semidirect
40. #88430C22semidirect
42. ((C3⋊D3)⋊C3)⋊C8C22semidirect
45. #64110D3semidirect
46. C2×C8×C3⋊D3D3semidirect
122. C2×C32×C8C2×D3semidirect
123. C2×C32×C8C2×D3semidirect
124. #3748C2×D3semidirect
125. C2×C3⋊(C3⋊C8)C2×D3semidirect
126. #3743C2×D3semidirect
129. C8×C3⋊D3C2×D3semidirect
130. C8×C3⋊D3C2×D3semidirect
131. C8×C3⋊D3C2×D3semidirect
280. (C3⋊D3)⋊C3#131semidirect
415. H(3,𝔽3)C2×#131semidirect
519. C3⋊D3#901semidirect
554. C2×C8((C3⋊D3)⋊C3)⋊C2semidirect
600. C32C2×#901semidirect
601. C32D3×#131semidirect

Maximal subgroups

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

subgroupindex
#117224902
#117217762
#64110⋊C32
C2×C8×(C3⋊D3)⋊C32
#117210642
#117210542
#117210532
#117208412
#117208402
#117208352
C8×((C3⋊D3)⋊C3)⋊C22
#105946693
D3×#9013