Finite Group Databasebeta

← #13162043

Subgroups — #13162043

Order 1728.

990 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#64366C211yesmaximal, characteristic, complemented
2C3×#64158C211yesmaximal, characteristic, complemented
3#11723697C211yesmaximal, characteristic, complemented
4#11723661C211yesmaximal, characteristic, complemented
5C3×#63664C211yesmaximal, characteristic, complemented
6#11722077C211yesmaximal, characteristic, complemented
7#11722073C211yesmaximal, characteristic, complemented
8#10591667—31nomaximal
9#10591666—31nomaximal
10#10591665—31nomaximal
11C33×#41C2211yescharacteristic
12C3×#3832—21no—
13C3×D4×C3⋊D3—22no—
14C3×D4×C3⋊D3—21no—
15C3×#3828—21no—
16C3×#3828C2211yescharacteristic
17C2×C3×C4⋊(C3⋊D3)—21no—
18C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
19C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
20C2×#6295—22no—
21C3×#3755—21no—
22C3×#3753—21no—
23C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
24C3×#3748C2211yescharacteristic, complemented
25C3×#3748C2211yescharacteristic, complemented
26#88811—21no—
27#88810—21no—
28#64366D311yescharacteristic, complemented
29C3×#1009—31no—
30C3×#1009—31no—
31C3×#1009—61no—
32#64158D311yescharacteristic, complemented
33C3×#949—31no—
34C3×#949—31no—
35C3×#949—61no—
36#63914—31no—
37#63911—31no—
38#63911—31no—
39#63830—31no—
40#63825—31no—
41#63823—31no—
42#63664D311yescharacteristic, complemented
43C3×#837—31no—
44C3×#837—31no—
45C3×#837—61no—
46#63570—31no—
47#63569—31no—
48#63568—31no—
49#63559—31no—
50#63558—31no—
51#63558—31no—
52C22×C3×C3⋊D3—22no—
53C22×C3×C3⋊D3—21no—
54C22×C3×C3⋊D3D412yes—
55C33×Q8D411yescharacteristic, complemented
56C33×D4—21no—
57C33×D4D411yescharacteristic, complemented
58C2×C33×C4—21no—
59C2×C33×C4C2311yescharacteristic
60C3×#638—22no—
61C3×#638—21no—
62C2×C3×C3⋊Dic3—21no—
63C3×C4⋊(C3⋊D3)—22no—
64C3×C4⋊(C3⋊D3)—21no—
65C3×C4⋊(C3⋊D3)—21no—
66C3×C4⋊(C3⋊D3)—21no—
67C3×C4⋊(C3⋊D3)—21no—
68C3×C4⋊(C3⋊D3)D411yescharacteristic, complemented
69C3×C4×C3⋊D3—22no—
70C3×C4×C3⋊D3—21no—
71C3×#634D411yescharacteristic, complemented
72#6295—44no—
73C3×C3⋊(C3⋊C8)—21no—
74C3×C3⋊(C3⋊C8)—21no—
75#5241—91no—
76#5198—91no—
77#4822—91no—
78C32×#41—21no—
79C32×#41—21no—
80C32×#41—21no—
81C32×#41—41no—
82C32×#41C2×D311yescharacteristic
83C32×#41C2×D311yescharacteristic
84C32×#41C2×D311yescharacteristic
85#3832—21no—
86D4×C3⋊D3—22no—
87D4×C3⋊D3—21no—
88#3828—21no—
89#3828C2×D311yescharacteristic
90C2×C4⋊(C3⋊D3)—21no—
91C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
92C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
93C3×#239—62no—
94C3×#239—61no—
95C3×#239—61no—
96C3×D3×D4—62no—
97C3×D3×D4—62no—
98C3×D3×D4—64no—
99C3×D3×D4—62no—
100C3×D3×D4—61no—
101C3×D3×D4—61no—
102C3×#235—31no—
103C3×#235—31no—
104C3×#235—61no—
105C3×#235—61no—
106C3×#235—61no—
107C3×#235—62no—
108C2×C3×D12—31no—
109C2×C3×D12—31no—
110C2×C3×D12—31no—
111C2×C3×D12—31no—
112C2×C3×D12—61no—
113C2×C3×D12—61no—
114C2×C3×D12—61no—
115C2×C3×D12—62no—
116C2×C3×D12—61no—
117C2×#626—62no—
118C2×#626—62no—
119C2×#625—62no—
120#3755—21no—
121#3753—21no—
122C4×C3⋊Dic3C2×D311yescharacteristic, complemented
123#3748C2×D311yescharacteristic, complemented
124#3748C2×D311yescharacteristic, complemented
125C3×#215—62no—
126C3×#215—61no—
127C3×#215—61no—
128C3×#213—62no—
129C3×#213—61no—
130C3×#213—61no—
131C3×C4×Dic3—31no—
132C3×C4×Dic3—31no—
133C3×C4×Dic3—61no—
134C3×#208—31no—
135C3×#208—31no—
136C3×#208—31no—
137C3×#208—31no—
138C3×#208—61no—
139C3×#208—61no—
140#3717—61no—
141#3716—61no—
142#3715—61no—
143#3714—61no—
144#3714—61no—
145#3713—61no—
146C22×C33—21no—
147C22×C33C2×D411yescharacteristic
148C2×C3×C3⋊D3—22no—
149C2×C3×C3⋊D3—21no—
150C2×C3×C3⋊D3—42no—
151C2×C3×C3⋊D3—42no—
152C2×C3×C3⋊D3—41no—
153C2×C3×C3⋊D3—82no—
154C33×C4—21no—
155C33×C4C2×D411yescharacteristic
156C33×C4C2×D411yescharacteristic
157C3×C3⋊Dic3—22no—
158C3×C3⋊Dic3—21no—
159C3×H(5,𝔽2)—91no—
160#1009—31no—
161#1009—31no—
162#1009—61no—
163C3×AGL(1,ℤ/8)—91no—
164#949—31no—
165#949—31no—
166#949—61no—
167#949—91no—
168#940—91no—
169#940—91no—
170#932—91no—
171#908—91no—
172#874—91no—
173C3×#104—91no—
174#837—31no—
175#837—31no—
176#837—61no—
177#837—91no—
178#833—91no—
179#825—91no—
180#823—91no—
181#823—91no—
182#805—91no—
183C22×C3⋊D3—22no—
184C22×C3⋊D3—21no—
185C22×C3⋊D3#6712yes—
186C22×C3×D3—32no—
187C22×C3×D3—32no—
188C22×C3×D3—62no—
189C22×C3×D3—64no—
190C22×C3×D3—62no—
191C22×C3×D3—62no—
192C22×C3×D3—61no—
193C22×C3×D3—61no—
194C22×C3×D3—121no—
195C32×Q8—21no—
196C32×Q8—21no—
197C32×Q8—21no—
198C32×Q8—41no—
199C32×Q8D1211yescharacteristic, complemented
200C32×Q8#6711yescharacteristic, complemented
201C32×Q8#6711yescharacteristic, complemented
202C32×D4—21no—
203C32×D4—22no—
204C32×D4—21no—
205C32×D4—21no—
206C32×D4—21no—
207C32×D4—21no—
208C32×D4—21no—
209C32×D4—41no—
210C32×D4—41no—
211C32×D4—41no—
212C32×D4—42no—
213C32×D4D1211yescharacteristic, complemented
214C32×D4#6711yescharacteristic, complemented
215C32×D4#6711yescharacteristic, complemented
216C2×C32×C4—21no—
217C2×C32×C4—22no—
218C2×C32×C4—21no—
219C2×C32×C4—21no—
220C2×C32×C4—21no—
221C2×C32×C4—21no—
222C2×C32×C4—21no—
223C2×C32×C4—41no—
224C2×C32×C4—41no—
225C2×C32×C4—41no—
226C2×C32×C4—42no—
227C2×C32×C4C22×D311yescharacteristic
228C2×C32×C4C22×D311yescharacteristic
229C2×C32×C4C22×D311yescharacteristic
230#638—22no—
231#638—21no—
232C2×C3⋊Dic3—21no—
233C4⋊(C3⋊D3)—22no—
234C4⋊(C3⋊D3)—21no—
235C4⋊(C3⋊D3)—21no—
236C4⋊(C3⋊D3)—21no—
237C4⋊(C3⋊D3)—21no—
238C4⋊(C3⋊D3)#6711yescharacteristic, complemented
239C4×C3⋊D3—22no—
240C4×C3⋊D3—21no—
241#634#6711yescharacteristic, complemented
242C3×#67—64no—
243C3×#67—62no—
244C3×#67—62no—
245C3×#67—62no—
246C3×#67—61no—
247C3×#67—61no—
248C2×C3×Dic3—61no—
249C2×C3×Dic3—61no—
250C2×C3×Dic3—121no—
251C3×D12—31no—
252C3×D12—31no—
253C3×D12—61no—
254C3×D12—62no—
255C3×D12—64no—
256C3×D12—62no—
257C3×D12—62no—
258C3×D12—62no—
259C3×D12—62no—
260C3×D12—61no—
261C3×D12—61no—
262C3×D12—61no—
263C3×D12—61no—
264C3×D12—61no—
265C3×D12—61no—
266C3×D12—61no—
267C3×D12—61no—
268C3×D12—121no—
269C3×C4×D3—64no—
270C3×C4×D3—62no—
271C3×C4×D3—62no—
272C3×C4×D3—62no—
273C3×C4×D3—61no—
274C3×C4×D3—61no—
275C3×Dic6—31no—
276C3×Dic6—31no—
277C3×Dic6—61no—
278#626—124no—
279#626—124no—
280#625—124no—
281C3⋊(C3⋊C8)—21no—
282C3⋊(C3⋊C8)—21no—
283C3×C3⋊C8—62no—
284C3×C3⋊C8—61no—
285C3×C3⋊C8—61no—
286C3×C3⋊C8—61no—
287C3×C3⋊C8—61no—
288C3×C3⋊C8—121no—
289#453—271noSylow
290C2×C33—21no—
291C2×C33—41no—
292C2×C33#12011yescharacteristic
293C3×C3⋊D3—42no—
294C3×C3⋊D3—41no—
295C3×C3⋊D3—81no—
296C3×#41—21no—
297C3×#41—21no—
298C3×#41—21no—
299C3×#41—41no—
300C3×#41—91no—
301C3×#41—181no—
302C3×#41—181no—
303C3×#41D3211yescharacteristic
304C3×#41D3211yescharacteristic
305C3×#41D3211yescharacteristic
306C2×C3×D4—91no—
307C2×C3×D4—91no—
308C2×C3×D4—181no—
309C2×C3×D4—182no—
310C2×C3×D4—181no—
311C2×#67—182no—
312C2×#67—182no—
313#239—62no—
314#239—61no—
315#239—61no—
316D3×D4—62no—
317D3×D4—62no—
318D3×D4—64no—
319D3×D4—62no—
320D3×D4—61no—
321D3×D4—61no—
322#235—31no—
323#235—31no—
324#235—61no—
325#235—61no—
326#235—61no—
327#235—62no—
328C2×D12—31no—
329C2×D12—31no—
330C2×D12—31no—
331C2×D12—31no—
332C2×D12—61no—
333C2×D12—61no—
334C2×D12—61no—
335C2×D12—61no—
336C2×D12—62no—
337C2×D12—182no—
338C3×SD16—181no—
339C3×D8—181no—
340C3×M16—91no—
341C3×M16—91no—
342C3×C42—91no—
343#215—62no—
344#215—61no—
345#215—61no—
346#215—181no—
347#214—181no—
348#213—62no—
349#213—61no—
350#213—61no—
351#213—181no—
352#213—181no—
353C4×Dic3—31no—
354C4×Dic3—31no—
355C4×Dic3—61no—
356#208—31no—
357#208—31no—
358#208—31no—
359#208—31no—
360#208—61no—
361#208—61no—
362D24—181no—
363#204—181no—
364C22×C32—21no—
365C22×C32—22no—
366C22×C32—21no—
367C22×C32—21no—
368C22×C32—21no—
369C22×C32—21no—
370C22×C32—21no—
371C22×C32—41no—
372C22×C32—41no—
373C22×C32—41no—
374C22×C32—42no—
375C22×C32D3×D411yescharacteristic
376C22×C32D3×D411yescharacteristic
377C22×C32C2×#6711yescharacteristic
378C2×C3⋊D3—22no—
379C2×C3⋊D3—21no—
380C2×C3⋊D3—41no—
381C2×C3⋊D3—42no—
382C2×C3⋊D3—42no—
383C2×C3⋊D3—82no—
384C2×C3×D3—62no—
385C2×C3×D3—64no—
386C2×C3×D3—61no—
387C2×C3×D3—62no—
388C2×C3×D3—61no—
389C2×C3×D3—62no—
390C2×C3×D3—122no—
391C2×C3×D3—122no—
392C2×C3×D3—122no—
393C2×C3×D3—122no—
394C2×C3×D3—122no—
395C2×C3×D3—121no—
396C2×C3×D3—121no—
397C2×C3×D3—242no—
398C2×C3×D3—242no—
399C2×C3×D3—244no—
400C2×C3×D3—242no—
401C2×C3×D3—242no—
402C32×C4—21no—
403C32×C4—22no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4—21no—
410C32×C4—21no—
411C32×C4—21no—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4—41no—
415C32×C4—41no—
416C32×C4—42no—
417C32×C4C2×D1211yescharacteristic
418C32×C4D3×D411yescharacteristic
419C32×C4D3×D411yescharacteristic
420C32×C4C2×#6711yescharacteristic
421C32×C4C2×#6711yescharacteristic
422C32×C4C2×#6711yescharacteristic
423C3⋊Dic3—21no—
424C3⋊Dic3—22no—
425C3×Dic3—62no—
426C3×Dic3—62no—
427C3×Dic3—62no—
428C3×Dic3—61no—
429C3×Dic3—61no—
430C3×Dic3—122no—
431H(5,𝔽2)—91no—
432AGL(1,ℤ/8)—91no—
433AGL(1,ℤ/8)—271no—
434#127—271no—
435#104—91no—
436#104—271no—
437#100—271no—
438C33#45311yescharacteristic, complemented, Sylow
439C23×C3—92no—
440C23×C3—182no—
441C23×C3—181no—
442C22×D3—32no—
443C22×D3—32no—
444C22×D3—62no—
445C22×D3—64no—
446C22×D3—62no—
447C22×D3—62no—
448C22×D3—61no—
449C22×D3—61no—
450C22×D3—121no—
451C3×Q8—21no—
452C3×Q8—21no—
453C3×Q8—21no—
454C3×Q8—41no—
455C3×Q8—91no—
456C3×Q8#62511yescharacteristic, complemented
457C3×Q8#62611yescharacteristic, complemented
458C3×Q8#62611yescharacteristic, complemented
459C3×D4—22no—
460C3×D4—21no—
461C3×D4—21no—
462C3×D4—21no—
463C3×D4—21no—
464C3×D4—21no—
465C3×D4—21no—
466C3×D4—41no—
467C3×D4—41no—
468C3×D4—42no—
469C3×D4—41no—
470C3×D4—91no—
471C3×D4—182no—
472C3×D4—182no—
473C3×D4—181no—
474C3×D4—181no—
475C3×D4—181no—
476C3×D4—181no—
477C3×D4—181no—
478C3×D4#62511yescharacteristic, complemented
479C3×D4#62611yescharacteristic, complemented
480C3×D4#62611yescharacteristic, complemented
481C2×C3×C4—22no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—41no—
489C2×C3×C4—41no—
490C2×C3×C4—42no—
491C2×C3×C4—41no—
492C2×C3×C4—182no—
493C2×C3×C4—181no—
494C2×C3×C4—181no—
495C2×C3×C4C2×D3211yescharacteristic
496C2×C3×C4C2×D3211yescharacteristic
497C2×C3×C4C2×D3211yescharacteristic
498#67—64no—
499#67—62no—
500#67—62no—
501#67—62no—
502#67—61no—
503#67—61no—
504#67—364no—
505#67—364no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—121no—
509D12—31no—
510D12—31no—
511D12—61no—
512D12—62no—
513D12—64no—
514D12—62no—
515D12—62no—
516D12—62no—
517D12—62no—
518D12—61no—
519D12—61no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—61no—
525D12—61no—
526D12—121no—
527D12—364no—
528C4×D3—64no—
529C4×D3—62no—
530C4×D3—62no—
531C4×D3—62no—
532C4×D3—61no—
533C4×D3—61no—
534Dic6—31no—
535Dic6—31no—
536Dic6—61no—
537C3×C8—181no—
538C3×C8—181no—
539C3⋊C8—62no—
540C3⋊C8—61no—
541C3⋊C8—61no—
542C3⋊C8—61no—
543C3⋊C8—61no—
544C3⋊C8—121no—
545C2×C32—21no—
546C2×C32—21no—
547C2×C32—21no—
548C2×C32—21no—
549C2×C32—21no—
550C2×C32—21no—
551C2×C32—41no—
552C2×C32—41no—
553C2×C32—41no—
554C2×C32—41no—
555C2×C32—41no—
556C2×C32—42no—
557C2×C32—41no—
558C2×C32—41no—
559C2×C32—81no—
560C2×C32—81no—
561C2×C32—81no—
562C2×C32—82no—
563C2×C32#88211yescharacteristic
564C2×C32#93711yescharacteristic
565C2×C32#95311yescharacteristic
566C3⋊D3—42no—
567C3⋊D3—41no—
568C3⋊D3—81no—
569C3×D3—124no—
570C3×D3—122no—
571C3×D3—122no—
572C3×D3—121no—
573C3×D3—122no—
574C3×D3—121no—
575C3×D3—242no—
576C3×D3—241no—
577C3×D3—241no—
578#41—91no—
579#41—181no—
580#41—181no—
581#41#111311yescharacteristic
582C2×D4—91no—
583C2×D4—91no—
584C2×D4—181no—
585C2×D4—182no—
586C2×D4—181no—
587C2×D4—542no—
588SD16—181no—
589SD16—541no—
590D8—181no—
591D8—541no—
592M16—91no—
593M16—91no—
594C42—91no—
595C22×C3—22no—
596C22×C3—21no—
597C22×C3—21no—
598C22×C3—21no—
599C22×C3—21no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—42no—
605C22×C3—41no—
606C22×C3—181no—
607C22×C3—182no—
608C22×C3—362no—
609C22×C3—362no—
610C22×C3—361no—
611C22×C3—722no—
612C22×C3D3×#6711yescharacteristic
613C22×C3D3×#6711yescharacteristic
614C22×C3#381111yescharacteristic
615C2×D3—62no—
616C2×D3—64no—
617C2×D3—61no—
618C2×D3—62no—
619C2×D3—61no—
620C2×D3—62no—
621C2×D3—122no—
622C2×D3—122no—
623C2×D3—122no—
624C2×D3—122no—
625C2×D3—122no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—242no—
629C2×D3—242no—
630C2×D3—244no—
631C2×D3—242no—
632C2×D3—242no—
633C3×C4—22no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—42no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—182no—
649C3×C4—181no—
650C3×C4C2×#62511yescharacteristic
651C3×C4C2×#62611yescharacteristic
652C3×C4C2×#62611yescharacteristic
653C3×C4D3×#6711yescharacteristic
654C3×C4D3×#6711yescharacteristic
655C3×C4#381111yescharacteristic
656Dic3—62no—
657Dic3—62no—
658Dic3—62no—
659Dic3—61no—
660Dic3—61no—
661Dic3—122no—
662C32—21no—
663C32—21no—
664C32—21no—
665C32—41no—
666C32#482211yescharacteristic, complemented
667C32#519811yescharacteristic, complemented
668C32#524111yescharacteristic, complemented
669C23—92no—
670C23—182no—
671C23—181no—
672Q8—91no—
673Q8#629511yescharacteristic, complemented
674D4—21no—
675D4—91no—
676D4—182no—
677D4—182no—
678D4—181no—
679D4—181no—
680D4—181no—
681D4—181no—
682D4—181no—
683D4—1084no—
684D4#629511yescharacteristic, complemented
685C2×C4—21no—
686C2×C4—182no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4C2×#111311yescharacteristic
690C8—181no—
691C8—181no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—41no—
699C2×C3—41no—
700C2×C3—41no—
701C2×C3—42no—
702C2×C3—41no—
703C2×C3—41no—
704C2×C3—41no—
705C2×C3—41no—
706C2×C3—81no—
707C2×C3—81no—
708C2×C3—81no—
709C2×C3—82no—
710C2×C3—362no—
711C2×C3—361no—
712C2×C3—721no—
713C2×C3#6397611yescharacteristic
714C2×C3#6397711yescharacteristic
715C2×C3#6398111yescharacteristic
716D3—124no—
717D3—122no—
718D3—122no—
719D3—121no—
720D3—122no—
721D3—121no—
722D3—242no—
723D3—241no—
724D3—241no—
725C22—21no—
726C22—181no—
727C22—182no—
728C22—362no—
729C22—362no—
730C22—361no—
731C22—722no—
732C22#8904911yescharacteristic
733C4—21no—
734C4—182no—
735C4—181no—
736C4C2×#629511yescharacteristic
737C4#8904911yescharacteristic
738C3—21no—
739C3—21no—
740C3—21no—
741C3—41no—
742C3#1059166511yescharacteristic, complemented
743C3#1059166611yescharacteristic, complemented
744C3#1059166711yescharacteristic, complemented
745C2—21no—
746C2—41no—
747C2—362no—
748C2—361no—
749C2—721no—
750C2#1172372711yescharacteristic
subgroupG/H
centerC2#11723727
commutator, cosocleC2×C33×C4C23
FrattiniC2×C4C2×#1113
FittingC33×#41C22
socleC2×C33#120
hypercenter#41#1113
hypocenterC33#453
LCSG ▷ C2×C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C2 ◁ C2×C4 ◁ #41

Complements

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

NH ≅ G/Ntype
1. C3×#64366C2semidirect
2. C3×#64158C2semidirect
3. #11723697C2semidirect
4. #11723661C2semidirect
5. C3×#63664C2semidirect
6. #11722077C2semidirect
7. #11722073C2semidirect
19. C2×C3×C4⋊(C3⋊D3)C22semidirect
23. C3×C4×C3⋊Dic3C22semidirect
24. C3×#3748C22semidirect
25. C3×#3748C22semidirect
28. #64366D3semidirect
32. #64158D3semidirect
42. #63664D3semidirect
55. C33×Q8D4semidirect
57. C33×D4D4semidirect
68. C3×C4⋊(C3⋊D3)D4semidirect
71. C3×#634D4semidirect
92. C2×C4⋊(C3⋊D3)C2×D3semidirect
122. C4×C3⋊Dic3C2×D3semidirect
123. #3748C2×D3semidirect
124. #3748C2×D3semidirect
199. C32×Q8D12semidirect
200. C32×Q8#67semidirect
201. C32×Q8#67semidirect
213. C32×D4D12semidirect
214. C32×D4#67semidirect
215. C32×D4#67semidirect
238. C4⋊(C3⋊D3)#67semidirect
241. #634#67semidirect
438. C33#453semidirect
456. C3×Q8#625semidirect
457. C3×Q8#626semidirect
458. C3×Q8#626semidirect
478. C3×D4#625semidirect
479. C3×D4#626semidirect
480. C3×D4#626semidirect
666. C32#4822semidirect
667. C32#5198semidirect
668. C32#5241semidirect
673. Q8#6295semidirect
684. D4#6295semidirect
742. C3#10591665semidirect
743. C3#10591666semidirect
744. C3#10591667semidirect

Maximal subgroups

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

subgroupindex
C3×#643662
C3×#641582
#117236972
#117236612
C3×#636642
#117220772
#117220732
#105916673
#105916663
#105916653