Finite Group Databasebeta

← D3×#5594 #11910212

Subgroups — D3×#5594 #11910212

Order 1152.

2946 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596065C211yesmaximal, characteristic, complemented
2C3×#5594C211yesmaximal, characteristic, complemented
3C3×D3×#120C211yesmaximal, characteristic, complemented
4#10595529C212yesmaximal, complemented
5D3×#953C212yesmaximal, complemented
6D3×#937C213yesmaximal, complemented
7#10595262C213yesmaximal, complemented
8#10595256C213yesmaximal, complemented
9D3×#936C213yesmaximal, complemented
10#10594309C216yesmaximal, complemented
11D3×#885C216yesmaximal, complemented
12D3×H(3,𝔽4)—31nomaximal
13C2×#5594—31nomaximal
14C24×C3×D3C2211yescharacteristic, complemented
15C23×D32C2211yescharacteristic, complemented
16C2×C3×D3×D4C2213yes—
17C2×D3×#67C2216yes—
18C2×D3×Dic6C2213yescomplemented
19C32×#120C2211yescharacteristic, complemented
20#64162C2212yescomplemented
21#64146C2213yescomplemented
22#64145C2213yescomplemented
23#64094C2216yescomplemented
24C3×#953C2211yescharacteristic, complemented
25C3×#953C2212yescomplemented
26C3×#937C2213yescomplemented
27C3×#937C2213yescomplemented
28C3×#936C2213yescomplemented
29C3×#885C2216yescomplemented
30C3×#882C2213yescomplemented
31C3×D3×C22⋊C4C2213yescomplemented
32#63983C2216yescomplemented
33#63981C2213yescomplemented
34#63977C2216yescomplemented
35#63976C2216yescomplemented
36#63976C2213yescomplemented
37D3×#217C2213yescomplemented
38D3×#217C2216yescomplemented
39#63959C2216yescomplemented
40#63959C2216yescomplemented
41#63959C2216yescomplemented
42#63953C2216yescomplemented
43#63922C2216yescomplemented
44D3×(C2×D3)⋊C4C2216yescomplemented
45#63915C2216yescomplemented
46#63913C2216yescomplemented
47#63907C2216yescomplemented
48C4×D3×Dic3C2213yescomplemented
49#63863C2213yescomplemented
50#63860C2213yescomplemented
51#63852C2216yescomplemented
52C3×H(3,𝔽4)—31no—
53C2×C3×#120—31no—
54C2×#953—32no—
55C2×#937—33no—
56C2×#936—33no—
57#5683—33no—
58#5683—36no—
59D3×#124—33no—
60D3×#124—36no—
61#5594—31no—
62#5594—31no—
63#5594—32no—
64#5594—32no—
65#5594—33no—
66#5594—33no—
67#5594—33no—
68#5594—36no—
69#5594—61no—
70#5594D311yescharacteristic, direct product factor
71D3×#120—32no—
72D3×#120—33no—
73D3×#120D311yescharacteristic, complemented
74C2×#885—36no—
75C24×C32C2311yescharacteristic, complemented
76C23×C3⋊D3C2311yescharacteristic, complemented
77C23×C3×D3—46no—
78C23×C3×D3C2313yes—
79C23×C3×D3C2311yescharacteristic
80C23×C3×D3C2313yescomplemented
81C23×C3×D3C2311yescharacteristic, complemented
82C22×D32—46no—
83C22×D32C2312yes—
84C22×D32C2312yescomplemented
85C2×C32×D4C2313yes—
86C2×#638C2316yes—
87C2×#634C2313yescomplemented
88C2×C3×#67C2313yes—
89C2×C3×#67C2316yes—
90C2×C3×#67C2313yes—
91C3×D3×D4—46no—
92C2×C3×D12C2313yes—
93C2×C3×C4×D3C2313yes—
94C2×C3×Dic6C2313yescomplemented
95D3×#67—412no—
96C2×#627C2316yescomplemented
97C2×#626C2316yes—
98C2×#625C2316yes—
99C2×D3×Dic3C2316yes—
100D3×Dic6—46no—
101C32×C22⋊C4C2313yescomplemented
102#3757C2316yescomplemented
103#3757C2313yescomplemented
104#3752C2316yescomplemented
105C4×C3⋊Dic3C2313yescomplemented
106C3×#217C2313yescomplemented
107C3×#217C2316yescomplemented
108C3×#217C2313yescomplemented
109C3×(C2×D3)⋊C4C2316yescomplemented
110C3×(C2×D3)⋊C4C2316yescomplemented
111C3×C4×Dic3C2313yescomplemented
112#3722C2316yescomplemented
113(C2×D3)⋊Dic3C2316yescomplemented
114(C2×D3)⋊Dic3C2316yescomplemented
115(C2×D3)⋊Dic3C2316yescomplemented
116(C2×D3)⋊Dic3C2316yescomplemented
117Dic32C2316yescomplemented
118C2×H(3,𝔽4)—91noSylow
119C25×C3—31no—
120C24×D3—31no—
121C24×D3—31no—
122C24×D3C2×D311yescharacteristic, complemented
123C22×C3×D4—33no—
124C22×#67—36no—
125C2×D3×Q8—33no—
126C2×D3×D4—36no—
127C2×D3×D4C2×D313yes—
128C22×Dic6—33no—
129C3×#124—33no—
130C3×#124—36no—
131C3×#120—21no—
132C3×#120—32no—
133C3×#120—31no—
134C3×#120—33no—
135C3×#120—33no—
136C3×#120—33no—
137C3×#120C2×D311yescharacteristic, complemented
138C3×#120C2×D311yescharacteristic, complemented
139C2×C3×C22⋊C4—33no—
140#953—32no—
141#953—32no—
142#953—36no—
143#953—33no—
144#953—36no—
145#953—62no—
146#953C2×D312yescomplemented
147#953C2×D311yescharacteristic, complemented
148C2×#217—36no—
149C2×#217—33no—
150#947—33no—
151#947—36no—
152#937—36no—
153#937—33no—
154#937—33no—
155#937—33no—
156#937—36no—
157#937—36no—
158#937—33no—
159#937—36no—
160#937—63no—
161#937C2×D313yescomplemented
162#937C2×D313yescomplemented
163#936—33no—
164#936—33no—
165#936—33no—
166#936—36no—
167#936—36no—
168#936—36no—
169#936—33no—
170#936—63no—
171#936C2×D313yescomplemented
172C2×(C2×D3)⋊C4—36no—
173C2×C4×Dic3—33no—
174#885—36no—
175#885—36no—
176#885—36no—
177#885—36no—
178#885—36no—
179#885—36no—
180#885—36no—
181#885—36no—
182#885—36no—
183#885—36no—
184#885—36no—
185#885—36no—
186#885—36no—
187#885—66no—
188#885C2×D316yescomplemented
189#882—36no—
190#882—33no—
191#882—36no—
192#882C2×D313yescomplemented
193D3×C22⋊C4—33no—
194D3×C22⋊C4—36no—
195D3×C22⋊C4—36no—
196D3×C22⋊C4C2×D313yescomplemented
197#875—33no—
198#875—36no—
199C42×D3—33no—
200C23×C32—43no—
201C23×C32C2411yescharacteristic
202C23×C32C2413yes—
203C22×C3⋊D3—43no—
204C22×C3⋊D3C2412yes—
205C22×C3×D3—26no—
206C22×C3×D3—212no—
207C22×C3×D3—26no—
208C22×C3×D3—43no—
209C22×C3×D3—43no—
210C22×C3×D3—46no—
211C22×C3×D3—416no—
212C22×C3×D3C2412yes—
213C22×C3×D3C2411yescharacteristic
214C22×C3×D3C2413yes—
215C22×C3×D3C2411yescharacteristic
216C2×D32—212no—
217C2×D32—46no—
218C2×D32—416no—
219C32×D4—43no—
220C2×C32×C4C2413yes—
221#638—46no—
222C2×C3⋊Dic3C2416yes—
223#634—43no—
224C3×#67—46no—
225C3×#67—43no—
226C3×#67—43no—
227C2×C3×Dic3C2413yes—
228C2×C3×Dic3C2416yes—
229C3×D12—43no—
230C3×C4×D3—26no—
231C3×Dic6—43no—
232#627—46no—
233#626—46no—
234#625—46no—
235D3×Dic3—212no—
236H(3,𝔽4)—31no—
237H(3,𝔽4)—92no—
238H(3,𝔽4)—93no—
239H(3,𝔽4)—93no—
240H(3,𝔽4)—96no—
241H(3,𝔽4)—91no—
242C2×#124—96no—
243C2×#124—93no—
244C2×#120—31no—
245C2×#120—93no—
246C2×#120—92no—
247C24×C3—21no—
248C24×C3—33no—
249C24×C3—31no—
250C24×C3—33no—
251C24×C3—31no—
252C24×C3—126no—
253C24×C3C22×D311yescharacteristic, complemented
254C24×C3C22×D311yescharacteristic, complemented
255C23×D3—31no—
256C23×D3—31no—
257C23×D3—32no—
258C23×D3—32no—
259C23×D3—32no—
260C23×D3—32no—
261C23×D3—46no—
262C23×D3—61no—
263C23×D3—126no—
264C23×D3—126no—
265C23×D3C22×D311yescharacteristic
266C23×D3C22×D313yes—
267C23×D3C22×D313yescomplemented
268C23×D3C22×D311yescharacteristic, complemented
269C2×C3×Q8—33no—
270C2×C3×D4—23no—
271C2×C3×D4—33no—
272C2×C3×D4—33no—
273C2×C3×D4—36no—
274C2×C3×D4—33no—
275C2×C3×D4—126no—
276C2×C3×D4C22×D313yes—
277C2×C3×D4C22×D313yes—
278C22×C3×C4—33no—
279C2×#67—36no—
280C2×#67—36no—
281C2×#67—36no—
282C2×#67—36no—
283C2×#67—36no—
284C2×#67—66no—
285C2×#67—1212no—
286C2×#67C22×D313yes—
287C2×#67C22×D313yes—
288C2×#67C22×D316yes—
289C22×Dic3—36no—
290D3×Q8—126no—
291D3×D4—46no—
292D3×D4—1212no—
293C2×D12—36no—
294C2×D12C22×D313yes—
295C2×C4×D3—36no—
296C2×C4×D3C22×D313yes—
297C2×Dic6—33no—
298C2×Dic6—33no—
299C2×Dic6—36no—
300C2×Dic6—36no—
301C2×Dic6—63no—
302C2×Dic6—126no—
303C2×Dic6C22×D313yescomplemented
304C3×C22⋊C4—23no—
305C3×C22⋊C4—33no—
306C3×C22⋊C4—36no—
307C3×C22⋊C4—33no—
308C3×C22⋊C4—36no—
309C3×C22⋊C4—36no—
310C3×C22⋊C4C22×D313yescomplemented
311C3×C22⋊C4C22×D313yescomplemented
312C3×C42—33no—
313#217—33no—
314#217—36no—
315#217—36no—
316#217—33no—
317#217—36no—
318#217—36no—
319#217—36no—
320#217—36no—
321#217—66no—
322#217—63no—
323#217C22×D313yescomplemented
324#217C22×D316yescomplemented
325#217C22×D313yescomplemented
326(C2×D3)⋊C4—36no—
327(C2×D3)⋊C4—36no—
328(C2×D3)⋊C4—36no—
329(C2×D3)⋊C4—36no—
330(C2×D3)⋊C4—36no—
331(C2×D3)⋊C4—36no—
332(C2×D3)⋊C4—36no—
333(C2×D3)⋊C4—36no—
334(C2×D3)⋊C4—66no—
335(C2×D3)⋊C4C22×D316yescomplemented
336(C2×D3)⋊C4C22×D316yescomplemented
337C4×Dic3—33no—
338C4×Dic3—33no—
339C4×Dic3—36no—
340C4×Dic3—36no—
341C4×Dic3—63no—
342C4×Dic3C22×D313yescomplemented
343C22×C32—26no—
344C22×C32—23no—
345C22×C32—23no—
346C22×C32—44no—
347C22×C32C2511yescharacteristic
348C2×C3⋊D3—26no—
349C2×C3⋊D3—44no—
350C2×C3×D3—26no—
351C2×C3×D3—26no—
352C2×C3×D3—23no—
353C2×C3×D3—23no—
354C2×C3×D3—44no—
355C2×C3×D3—412no—
356C2×C3×D3—44no—
357C2×C3×D3—412no—
358C2×C3×D3H(5,𝔽2)16yes—
359D32—48no—
360D32—48no—
361C32×C4—23no—
362C3⋊Dic3—26no—
363C3×Dic3—26no—
364C3×Dic3—23no—
365C25—31no—
366C25—91no—
367C22×Q8—93no—
368C22×D4—33no—
369C22×D4—96no—
370#124—33no—
371#124—36no—
372#124—96no—
373#124—93no—
374#124—96no—
375#124—96no—
376#124—96no—
377#124—96no—
378#124—96no—
379#124—96no—
380#124—96no—
381#124—93no—
382#124—93no—
383#124—96no—
384#120—31no—
385#120—32no—
386#120—33no—
387#120—33no—
388#120—33no—
389#120—93no—
390#120—96no—
391#120—96no—
392#120—96no—
393#120—96no—
394#120—93no—
395#120—92no—
396#120—93no—
397#120D3211yescharacteristic, complemented
398C2×C22⋊C4—33no—
399C2×C22⋊C4—96no—
400C2×C22⋊C4—96no—
401C2×C22⋊C4—93no—
402C2×C42—93no—
403C23×C3—21no—
404C23×C3—23no—
405C23×C3—31no—
406C23×C3—31no—
407C23×C3—33no—
408C23×C3—32no—
409C23×C3—43no—
410C23×C3—43no—
411C23×C3—612no—
412C23×C3—66no—
413C23×C3—66no—
414C23×C3—83no—
415C23×C3—123no—
416C23×C3—126no—
417C23×C3—123no—
418C23×C3—1216no—
419C23×C3C23×D311yescharacteristic
420C23×C3C23×D311yescharacteristic
421C23×C3C23×D313yes—
422C23×C3C23×D313yes—
423C22×D3—26no—
424C22×D3—26no—
425C22×D3—212no—
426C22×D3—32no—
427C22×D3—32no—
428C22×D3—46no—
429C22×D3—43no—
430C22×D3—43no—
431C22×D3—416no—
432C22×D3—62no—
433C22×D3—612no—
434C22×D3—612no—
435C22×D3—126no—
436C22×D3—126no—
437C22×D3—1216no—
438C22×D3—1216no—
439C22×D3—123no—
440C22×D3—123no—
441C22×D3—243no—
442C22×D3C23×D311yescharacteristic
443C22×D3C23×D313yes—
444C22×D3C23×D312yes—
445C22×D3C23×D311yescharacteristic
446C3×Q8—123no—
447C3×D4—43no—
448C3×D4—43no—
449C3×D4—83no—
450C3×D4—123no—
451C3×D4—126no—
452C3×D4—123no—
453C3×D4—123no—
454C2×C3×C4—23no—
455C2×C3×C4—33no—
456C2×C3×C4—36no—
457C2×C3×C4—66no—
458C2×C3×C4C23×D313yes—
459C2×C3×C4C23×D313yes—
460#67—43no—
461#67—43no—
462#67—46no—
463#67—126no—
464#67—126no—
465#67—126no—
466#67—126no—
467#67—126no—
468#67—246no—
469C2×Dic3—36no—
470C2×Dic3—36no—
471C2×Dic3—66no—
472C2×Dic3—612no—
473C2×Dic3C23×D313yes—
474C2×Dic3C23×D316yes—
475D12—43no—
476D12—126no—
477C4×D3—26no—
478C4×D3—612no—
479Dic6—43no—
480Dic6—126no—
481Dic6—126no—
482Dic6—123no—
483Dic6—123no—
484Dic6—243no—
485C2×C32—41no—
486C2×C32—43no—
487C2×C32C2×H(5,𝔽2)13yes—
488C3⋊D3—42no—
489C3×D3—42no—
490C3×D3—41no—
491C3×D3—43no—
492C3×D3H(3,𝔽4)14yescomplemented
493C24—33no—
494C24—31no—
495C24—31no—
496C24—33no—
497C24—92no—
498C24—92no—
499C24—91no—
500C24—126no—
501C24—366no—
502C24C2×D3211yescharacteristic, complemented
503C2×Q8—33no—
504C2×Q8—96no—
505C2×Q8—93no—
506C2×Q8—366no—
507C2×D4—36no—
508C2×D4—33no—
509C2×D4—33no—
510C2×D4—33no—
511C2×D4—96no—
512C2×D4—96no—
513C2×D4—96no—
514C2×D4—126no—
515C2×D4—3612no—
516C2×D4C2×D3213yes—
517C22×C4—33no—
518C22×C4—96no—
519C22⋊C4—33no—
520C22⋊C4—33no—
521C22⋊C4—36no—
522C22⋊C4—36no—
523C22⋊C4—36no—
524C22⋊C4—96no—
525C22⋊C4—96no—
526C22⋊C4—96no—
527C22⋊C4—96no—
528C22⋊C4—96no—
529C22⋊C4—93no—
530C22⋊C4—96no—
531C22⋊C4—96no—
532C22⋊C4C2×D3213yescomplemented
533C42—33no—
534C42—96no—
535C42—93no—
536C22×C3—23no—
537C22×C3—23no—
538C22×C3—26no—
539C22×C3—26no—
540C22×C3—23no—
541C22×C3—23no—
542C22×C3—21no—
543C22×C3—36no—
544C22×C3—46no—
545C22×C3—43no—
546C22×C3—43no—
547C22×C3—44no—
548C22×C3—44no—
549C22×C3—66no—
550C22×C3—66no—
551C22×C3—63no—
552C22×C3—63no—
553C22×C3—84no—
554C22×C3—124no—
555C22×C3—1212no—
556C22×C3—124no—
557C22×C3—1212no—
558C22×C3C24×D311yescharacteristic
559C22×C3C24×D311yescharacteristic
560C2×D3—23no—
561C2×D3—23no—
562C2×D3—26no—
563C2×D3—26no—
564C2×D3—412no—
565C2×D3—44no—
566C2×D3—412no—
567C2×D3—44no—
568C2×D3—66no—
569C2×D3—66no—
570C2×D3—126no—
571C2×D3—128no—
572C2×D3—128no—
573C2×D3—128no—
574C2×D3—124no—
575C2×D3—124no—
576C2×D3—128no—
577C2×D3—244no—
578C2×D3#100416yes—
579C3×C4—23no—
580C3×C4—23no—
581C3×C4—43no—
582C3×C4—66no—
583C3×C4—63no—
584Dic3—23no—
585Dic3—26no—
586Dic3—66no—
587Dic3—66no—
588Dic3—126no—
589C32C2×H(3,𝔽4)11yescharacteristic, complemented, Sylow
590C23—31no—
591C23—32no—
592C23—33no—
593C23—31no—
594C23—43no—
595C23—66no—
596C23—66no—
597C23—612no—
598C23—92no—
599C23—123no—
600C23—126no—
601C23—123no—
602C23—1216no—
603C23—1812no—
604C23—363no—
605C23—366no—
606C23—3616no—
607C23C22×D3211yescharacteristic
608C23C22×D3213yes—
609Q8—123no—
610Q8—363no—
611Q8—366no—
612D4—43no—
613D4—123no—
614D4—123no—
615D4—123no—
616D4—126no—
617D4—366no—
618D4—366no—
619D4—366no—
620C2×C4—36no—
621C2×C4—33no—
622C2×C4—66no—
623C2×C4—96no—
624C2×C4—1812no—
625C2×C4C22×D3213yes—
626C2×C3—23no—
627C2×C3—34no—
628C2×C3—41no—
629C2×C3—43no—
630C2×C3—43no—
631C2×C3—41no—
632C2×C3—81no—
633C2×C3—83no—
634C2×C3—121no—
635C2×C3—123no—
636C2×C3—122no—
637C2×C3C2×#100413yes—
638C2×C3D3×H(5,𝔽2)13yes—
639D3—42no—
640D3—43no—
641D3—41no—
642D3—122no—
643D3—122no—
644D3—242no—
645D3#559414yesdirect product factor
646C22—23no—
647C22—23no—
648C22—26no—
649C22—36no—
650C22—44no—
651C22—63no—
652C22—63no—
653C22—66no—
654C22—66no—
655C22—1212no—
656C22—124no—
657C22—1212no—
658C22—124no—
659C22—186no—
660C22—368no—
661C22—364no—
662C22—368no—
663C22C23×D3211yescharacteristic
664C4—23no—
665C4—63no—
666C4—66no—
667C4—186no—
668C3—21no—
669C3C2×#559411yescharacteristic, complemented
670C3D3×H(3,𝔽4)11yescharacteristic, complemented
671C2—34no—
672C2—43no—
673C2—41no—
674C2—123no—
675C2—121no—
676C2—122no—
677C2—362no—
678C2D3×#100413yes—
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#120C22
hypercenter#120D32
hypocenterC32C2×H(3,𝔽4)
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #120

Complements

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

NH ≅ G/Ntype
1. #10596065C2semidirect
2. C3×#5594C2semidirect
3. C3×D3×#120C2semidirect
4. #10595529C2semidirect
5. D3×#953C2semidirect
6. D3×#937C2semidirect
7. #10595262C2semidirect
8. #10595256C2semidirect
9. D3×#936C2semidirect
10. #10594309C2semidirect
11. D3×#885C2semidirect
14. C24×C3×D3C22semidirect
15. C23×D32C22semidirect
18. C2×D3×Dic6C22semidirect
19. C32×#120C22semidirect
20. #64162C22semidirect
21. #64146C22semidirect
22. #64145C22semidirect
23. #64094C22semidirect
24. C3×#953C22semidirect
25. C3×#953C22semidirect
26. C3×#937C22semidirect
27. C3×#937C22semidirect
28. C3×#936C22semidirect
29. C3×#885C22semidirect
30. C3×#882C22semidirect
31. C3×D3×C22⋊C4C22semidirect
32. #63983C22semidirect
33. #63981C22semidirect
34. #63977C22semidirect
35. #63976C22semidirect
36. #63976C22semidirect
37. D3×#217C22semidirect
38. D3×#217C22semidirect
39. #63959C22semidirect
40. #63959C22semidirect
41. #63959C22semidirect
42. #63953C22semidirect
43. #63922C22semidirect
44. D3×(C2×D3)⋊C4C22semidirect
45. #63915C22semidirect
46. #63913C22semidirect
47. #63907C22semidirect
48. C4×D3×Dic3C22semidirect
49. #63863C22semidirect
50. #63860C22semidirect
51. #63852C22semidirect
70. #5594D3direct (N × H)
73. D3×#120D3semidirect
75. C24×C32C23semidirect
76. C23×C3⋊D3C23semidirect
80. C23×C3×D3C23semidirect
81. C23×C3×D3C23semidirect
84. C22×D32C23semidirect
87. C2×#634C23semidirect
94. C2×C3×Dic6C23semidirect
96. C2×#627C23semidirect
101. C32×C22⋊C4C23semidirect
102. #3757C23semidirect
103. #3757C23semidirect
104. #3752C23semidirect
105. C4×C3⋊Dic3C23semidirect
106. C3×#217C23semidirect
107. C3×#217C23semidirect
108. C3×#217C23semidirect
109. C3×(C2×D3)⋊C4C23semidirect
110. C3×(C2×D3)⋊C4C23semidirect
111. C3×C4×Dic3C23semidirect
112. #3722C23semidirect
113. (C2×D3)⋊Dic3C23semidirect
114. (C2×D3)⋊Dic3C23semidirect
115. (C2×D3)⋊Dic3C23semidirect
116. (C2×D3)⋊Dic3C23semidirect
117. Dic32C23semidirect
122. C24×D3C2×D3semidirect
137. C3×#120C2×D3semidirect
138. C3×#120C2×D3semidirect
146. #953C2×D3semidirect
147. #953C2×D3semidirect
161. #937C2×D3semidirect
162. #937C2×D3semidirect
171. #936C2×D3semidirect
188. #885C2×D3semidirect
192. #882C2×D3semidirect
196. D3×C22⋊C4C2×D3semidirect
253. C24×C3C22×D3semidirect
254. C24×C3C22×D3semidirect
267. C23×D3C22×D3semidirect
268. C23×D3C22×D3semidirect
303. C2×Dic6C22×D3semidirect
310. C3×C22⋊C4C22×D3semidirect
311. C3×C22⋊C4C22×D3semidirect
323. #217C22×D3semidirect
324. #217C22×D3semidirect
325. #217C22×D3semidirect
335. (C2×D3)⋊C4C22×D3semidirect
336. (C2×D3)⋊C4C22×D3semidirect
342. C4×Dic3C22×D3semidirect
397. #120D32semidirect
492. C3×D3H(3,𝔽4)semidirect
502. C24C2×D32semidirect
532. C22⋊C4C2×D32semidirect
589. C32C2×H(3,𝔽4)semidirect
645. D3#5594direct (N × H)
669. C3C2×#5594semidirect
670. C3D3×H(3,𝔽4)semidirect

Maximal subgroups

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

subgroupindex
#105960652
C3×#55942
C3×D3×#1202
#105955292
D3×#9532
D3×#9372
#105952622
#105952562
D3×#9362
#105943092
D3×#8852
D3×H(3,𝔽4)3
C2×#55943