Finite Group Databasebeta

← #11909888

Subgroups — #11909888

Order 1152.

2124 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C3×#5572C211yesmaximal, characteristic, complemented
3C3×#5569C211yesmaximal, characteristic, complemented
4Q8×#626C211yesmaximal, characteristic, complemented
5Q8×#626C211yesmaximal, characteristic, complemented
6Q8×#624C211yesmaximal, characteristic, complemented
7#10595339C211yesmaximal, characteristic, complemented
8#10594584C213yesmaximal, complemented
9#10594556C213yesmaximal, complemented
10#10594397C213yesmaximal, complemented
11#10594355C213yesmaximal, complemented
12#10593947C213yesmaximal, complemented
13#10593934C213yesmaximal
14#10593881C213yesmaximal, complemented
15#10593860C213yesmaximal, complemented
16#87024—31nomaximal
17#85884—31nomaximal
18C2×Q8×C3⋊D3C2211yescharacteristic
19C2×Q8×C3⋊D3C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21C32×C4×Q8C2211yescharacteristic
22#64106C2213yes—
23#64106C2213yes—
24C4×C4⋊(C3⋊D3)C2213yes—
25#64078C2213yes—
26C3×Q8×Dic3C2211yescharacteristic
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×#892C2213yes—
30C3×#890C2213yes—
31C3×#888C2213yes—
32C3×#887C2213yes—
33C3×#872C2213yes—
34C3×#870C2213yes—
35C3×C4×Dic6C2213yes—
36C3×C4×Dic6C2213yes—
37#63910C2211yescharacteristic
38#63907C2213yes—
39C4×#626C2213yes—
40C4×#626C2213yes—
41#63900C2213yes—
42#63897C2213yes—
43#63888C2213yes—
44C4×#624C2213yes—
45#63874C2213yes—
46#63871C2213yes—
47#63871C2213yes—
48#63869C2216yes—
49#63868C2216yes—
50#63866C2213yes—
51#63866C2213yes—
52#63861C2216yes—
53#63861C2213yes—
54#63857C2213yes—
55#63857C2213yes—
56#63854C2213yes—
57#63849C2213yes—
58#63848C2213yes—
59#63845C2216yes—
60#63845C2213yes—
61#63845C2216yes—
62#63844C2213yes—
63#63844C2213yes—
64#63844C2213yes—
65#63844C2213yes—
66Dic3×Dic6C2216yes—
67#63836C2216yes—
68C3×#557—31no—
69C3×#519—31no—
70Q8×#67—31no—
71Q8×#67—31no—
72#5732—33no—
73#5728—33no—
74#5698—33no—
75#5698—33no—
76#5694—33no—
77#5694—33no—
78#5583—33no—
79#5581—33no—
80#5580—33no—
81#5578—33no—
82Q8×D12—31no—
83Q8×D12—31no—
84Q8×D12—31no—
85Q8×D12—31no—
86Q8×D12—61no—
87#5572—31no—
88#5572—31no—
89#5572D311yescharacteristic, complemented
90C4×D3×Q8—31no—
91C4×D3×Q8—31no—
92#5570—33no—
93#5569D311yescharacteristic, complemented
94#5567—33no—
95#5533—33no—
96#5529—33no—
97#5528—33no—
98#5518—33no—
99C2×C32×Q8C2311yescharacteristic
100Q8×C3⋊D3—24no—
101Q8×C3⋊D3—24no—
102C2×C4⋊(C3⋊D3)C2311yescharacteristic
103C2×C4×C3⋊D3C2313yes—
104C2×C4×C3⋊D3C2313yes—
105C2×#634C2313yes—
106C2×#634C2313yes—
107C3×D3×Q8—24no—
108C2×C3×C4×D3C2313yes—
109C2×C3×Dic6C2313yes—
110C2×C3×Dic6C2313yes—
111C2×#626C2311yescharacteristic
112C2×#626C2311yescharacteristic
113C2×#624C2313yes—
114C2×#624C2311yescharacteristic
115C32×C4⋊C4C2313yes—
116C32×C42C2313yes—
117#3752C2313yes—
118#3752C2313yes—
119C4⋊(C3⋊Dic3)C2313yes—
120C4⋊(C3⋊Dic3)C2316yes—
121C3×(C2×D3)⋊C4C2313yes—
122C3×(C2×D3)⋊C4C2311yescharacteristic
123C3×C4⋊Dic3C2313yes—
124C3×C4⋊Dic3C2313yes—
125C3×C4⋊Dic3C2313yes—
126C3×C4⋊Dic3C2313yes—
127C3×Dic3⋊C4C2313yes—
128C3×Dic3⋊C4C2316yes—
129C3×Dic3⋊C4C2313yes—
130C3×Dic3⋊C4C2311yescharacteristic
131C3×Dic3⋊C4C2313yes—
132C3×C4×Dic3C2316yes—
133C3×C4×Dic3C2313yes—
134C3×C4×Dic3C2313yes—
135C3×C4×Dic3C2313yes—
136#3724C2313yes—
137#3724C2313yes—
138#3724C2316yes—
139Dic3⋊Dic3C2316yes—
140Dic3⋊Dic3C2313yes—
141Dic3⋊Dic3C2316yes—
142Dic3⋊Dic3C2313yes—
143#3722C2313yes—
144#3722C2311yescharacteristic
145#3722C2313yes—
146#3722C2313yes—
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149Dic32C2316yes—
150Dic32C2313yes—
151Dic32C2313yes—
152#3523—91noSylow
153C22×C3×Q8—31no—
154C2×D3×Q8—31no—
155C2×D3×Q8—31no—
156C2×D3×Q8—31no—
157C2×D3×Q8—31no—
158C2×D3×Q8—61no—
159C2×D3×Q8—61no—
160C2×D3×Q8C2×D311yescharacteristic
161C3×C4⋊Q8—33no—
162C3×#125—33no—
163C3×#125—33no—
164C3×C4×Q8—21no—
165C3×C4×Q8—31no—
166C3×C4×Q8—31no—
167C3×C4×Q8—31no—
168C3×C4×Q8—33no—
169C3×C4×Q8—33no—
170C3×C4×Q8—33no—
171C3×C4×Q8C2×D311yescharacteristic
172C3×C4×Q8C2×D311yescharacteristic
173C3×#117—33no—
174C3×#117—33no—
175#947—33no—
176#946—33no—
177#946—33no—
178#946—33no—
179Q8×Dic3—36no—
180Q8×Dic3C2×D311yescharacteristic
181Q8×Dic3C2×D311yescharacteristic
182Q8×Dic3C2×D311yescharacteristic
183#944—33no—
184#944—33no—
185C4×#67—33no—
186C4×#67—33no—
187#924—33no—
188#924—33no—
189#898—36no—
190#898—33no—
191#898—33no—
192#898—33no—
193#898—36no—
194#897—33no—
195#897—33no—
196#897—33no—
197#897—33no—
198#897—33no—
199#897—33no—
200#897—33no—
201#897—33no—
202#897—63no—
203#897—63no—
204#896—33no—
205#895—31no—
206#894—33no—
207#894—33no—
208#894—33no—
209#892—33no—
210#892—33no—
211#892—36no—
212#892C2×D313yes—
213D3×C4⋊C4—33no—
214D3×C4⋊C4—33no—
215#890—36no—
216#890—36no—
217#890—33no—
218#890—36no—
219#890C2×D313yes—
220#889—36no—
221#889—36no—
222#889—33no—
223#888C2×D313yes—
224#887—33no—
225#887—33no—
226#887—33no—
227#887—33no—
228#887C2×D313yes—
229#885—33no—
230#884—31no—
231#883—33no—
232#879—33no—
233#879—36no—
234#876—36no—
235C4×D12—33no—
236C4×D12—33no—
237C4×D12—33no—
238C4×D12—33no—
239C4×D12—63no—
240#872—36no—
241#872—33no—
242#872—33no—
243#872C2×D313yes—
244C42×D3—33no—
245C42×D3—33no—
246#870—36no—
247#870C2×D313yes—
248#869—33no—
249#869—33no—
250#869—33no—
251#869—33no—
252#869—63no—
253C4×Dic6—36no—
254C4×Dic6—33no—
255C4×Dic6—33no—
256C4×Dic6—33no—
257C4×Dic6—33no—
258C4×Dic6C2×D313yes—
259C4×Dic6C2×D313yes—
260C22×C3⋊D3C2411yescharacteristic
261C22×C3⋊D3C2411yescharacteristic
262C22×C3×D3C2411yescharacteristic
263C32×Q8#4114yes—
264C2×C32×C4C2413yes—
265C2×C32×C4C2411yescharacteristic
266C2×C32×C4C2413yes—
267C2×C3⋊Dic3C2413yes—
268C2×C3⋊Dic3C2413yes—
269C4⋊(C3⋊D3)—22no—
270C4×C3⋊D3—26no—
271C4×C3⋊D3—26no—
272#634—26no—
273#634—26no—
274C2×C3×Dic3C2411yescharacteristic
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2413yes—
277C2×C3×Dic3C2413yes—
278C2×C3×Dic3C2413yes—
279C2×C3×Dic3C2411yescharacteristic
280C2×C3×Dic3C2411yescharacteristic
281C3×C4×D3—26no—
282C3×Dic6—26no—
283C3×Dic6—26no—
284#626—22no—
285#626—22no—
286#624—26no—
287#624—22no—
288#557—31no—
289#557—93no—
290#556—93no—
291#552—93no—
292#552—93no—
293D4×Q8—91no—
294D4×Q8—91no—
295D4×Q8—91no—
296#541—93no—
297#541—93no—
298#533—93no—
299#529—93no—
300#519—31no—
301#519—91no—
302C2×C4×Q8—91no—
303C2×C3×Q8—21no—
304C2×C3×Q8—33no—
305C2×C3×Q8—33no—
306C2×C3×Q8—64no—
307C2×C3×Q8C22×D311yescharacteristic
308C2×C3×Q8C22×D311yescharacteristic
309C22×C3×C4—33no—
310C2×#67—31no—
311C2×#67—31no—
312D3×Q8—24no—
313D3×Q8—64no—
314D3×Q8—64no—
315D3×Q8—64no—
316D3×Q8—64no—
317D3×Q8—124no—
318D3×Q8—124no—
319C2×D12—31no—
320C2×D12—31no—
321C2×D12—31no—
322C2×D12—31no—
323C2×D12—61no—
324C2×C4×D3—33no—
325C2×C4×D3—33no—
326C2×C4×D3—33no—
327C2×C4×D3—33no—
328C2×C4×D3—31no—
329C2×C4×D3—31no—
330C2×C4×D3—33no—
331C2×C4×D3—33no—
332C2×C4×D3—63no—
333C2×C4×D3—63no—
334C2×C4×D3C22×D313yes—
335C2×Dic6—33no—
336C2×Dic6—33no—
337C2×Dic6—33no—
338C2×Dic6—33no—
339C2×Dic6—63no—
340C2×Dic6—63no—
341C2×Dic6C22×D313yes—
342C2×Dic6C22×D313yes—
343C3×C4⋊C4—23no—
344C3×C4⋊C4—33no—
345C3×C4⋊C4—33no—
346C3×C4⋊C4—33no—
347C3×C4⋊C4—33no—
348C3×C4⋊C4—33no—
349C3×C4⋊C4—31no—
350C3×C4⋊C4—33no—
351C3×C4⋊C4—33no—
352C3×C4⋊C4—36no—
353C3×C4⋊C4C22×D313yes—
354C3×C4⋊C4C22×D313yes—
355C3×C22⋊C4—31no—
356C3×C22⋊C4—33no—
357C3×C42—23no—
358C3×C42—33no—
359C3×C42—33no—
360C3×C42—33no—
361C3×C42—36no—
362C3×C42C22×D313yes—
363C3×C42C22×D313yes—
364#217—33no—
365#217—33no—
366(C2×D3)⋊C4—33no—
367(C2×D3)⋊C4—33no—
368(C2×D3)⋊C4—33no—
369(C2×D3)⋊C4—33no—
370(C2×D3)⋊C4—33no—
371(C2×D3)⋊C4—33no—
372(C2×D3)⋊C4—31no—
373(C2×D3)⋊C4—31no—
374(C2×D3)⋊C4—33no—
375(C2×D3)⋊C4—33no—
376(C2×D3)⋊C4—33no—
377(C2×D3)⋊C4—33no—
378(C2×D3)⋊C4—33no—
379(C2×D3)⋊C4—33no—
380(C2×D3)⋊C4—63no—
381(C2×D3)⋊C4—63no—
382(C2×D3)⋊C4C22×D311yescharacteristic
383(C2×D3)⋊C4C22×D313yes—
384C4⋊Dic3—36no—
385C4⋊Dic3—33no—
386C4⋊Dic3—33no—
387C4⋊Dic3—36no—
388C4⋊Dic3—33no—
389C4⋊Dic3—33no—
390C4⋊Dic3—36no—
391C4⋊Dic3—36no—
392C4⋊Dic3—63no—
393C4⋊Dic3—66no—
394C4⋊Dic3C22×D313yes—
395C4⋊Dic3C22×D313yes—
396C4⋊Dic3C22×D313yes—
397C4⋊Dic3C22×D313yes—
398Dic3⋊C4—33no—
399Dic3⋊C4—33no—
400Dic3⋊C4—33no—
401Dic3⋊C4—36no—
402Dic3⋊C4—36no—
403Dic3⋊C4—36no—
404Dic3⋊C4—33no—
405Dic3⋊C4—33no—
406Dic3⋊C4—36no—
407Dic3⋊C4—33no—
408Dic3⋊C4C22×D311yescharacteristic
409Dic3⋊C4C22×D313yes—
410Dic3⋊C4C22×D313yes—
411Dic3⋊C4C22×D316yes—
412Dic3⋊C4C22×D313yes—
413C4×Dic3—33no—
414C4×Dic3—33no—
415C4×Dic3—33no—
416C4×Dic3—36no—
417C4×Dic3—36no—
418C4×Dic3—33no—
419C4×Dic3C22×D313yes—
420C4×Dic3C22×D313yes—
421C4×Dic3C22×D316yes—
422C4×Dic3C22×D313yes—
423C22×C32C2511yescharacteristic
424C2×C3⋊D3—21no—
425C2×C3⋊D3—21no—
426C2×C3⋊D3—21no—
427C2×C3⋊D3—21no—
428C2×C3⋊D3—21no—
429C2×C3⋊D32−1+412yes—
430C2×C3×D3—21no—
431C2×C3×D3—21no—
432C2×C3×D3—21no—
433C32×C4—21no—
434C32×C4—23no—
435C32×C4C2×#4116yes—
436C3⋊Dic3—23no—
437C3⋊Dic3—23no—
438C3×Dic3—23no—
439C3×Dic3—21no—
440C3×Dic3—23no—
441C3×Dic3—23no—
442C3×Dic3—21no—
443C3×Dic3—23no—
444C3×Dic32−1+412yes—
445C22×Q8—31no—
446C22×Q8—91no—
447C22×Q8—91no—
448C4⋊Q8—33no—
449C4⋊Q8—93no—
450C4⋊Q8—93no—
451C4⋊Q8—93no—
452#126—96no—
453#126—93no—
454#126—96no—
455#126—93no—
456#125—33no—
457#125—33no—
458#125—96no—
459#125—93no—
460#125—96no—
461#125—96no—
462#124—93no—
463#123—93no—
464#123—93no—
465C22⋊Q8—93no—
466C22⋊Q8—93no—
467C22⋊Q8—93no—
468C22⋊Q8—93no—
469C22⋊Q8—93no—
470C22⋊Q8—93no—
471C22⋊Q8—93no—
472#121—91no—
473C4×Q8—31no—
474C4×Q8—31no—
475C4×Q8—31no—
476C4×Q8—33no—
477C4×Q8—33no—
478C4×Q8—33no—
479C4×Q8—93no—
480C4×Q8—93no—
481C4×Q8—93no—
482C4×Q8—93no—
483C4×Q8—96no—
484C4×Q8D3211yescharacteristic
485C4×D4—93no—
486C4×D4—93no—
487C4×D4—93no—
488#117—33no—
489#117—33no—
490#117—93no—
491#117—96no—
492#117—93no—
493C2×C4⋊C4—93no—
494C2×C42—93no—
495C23×C3—31no—
496C22×D3—31no—
497C22×D3—31no—
498C22×D3—31no—
499C22×D3—31no—
500C22×D3—61no—
501C22×D3—61no—
502C22×D3C23×D311yescharacteristic
503C3×Q8—24no—
504C3×Q8—66no—
505C3×Q8—66no—
506C3×Q8#23514yes—
507C3×Q8#23914yes—
508C2×C3×C4—21no—
509C2×C3×C4—23no—
510C2×C3×C4—23no—
511C2×C3×C4—31no—
512C2×C3×C4—31no—
513C2×C3×C4—33no—
514C2×C3×C4—33no—
515C2×C3×C4—33no—
516C2×C3×C4—33no—
517C2×C3×C4—31no—
518C2×C3×C4—66no—
519C2×C3×C4C23×D313yes—
520C2×C3×C4C23×D311yescharacteristic
521C2×C3×C4C23×D311yescharacteristic
522C2×C3×C4C23×D313yes—
523C2×C3×C4C23×D313yes—
524C2×C3×C4C23×D313yes—
525#67—62no—
526#67—62no—
527C2×Dic3—33no—
528C2×Dic3—33no—
529C2×Dic3—33no—
530C2×Dic3—33no—
531C2×Dic3—63no—
532C2×Dic3—63no—
533C2×Dic3C23×D311yescharacteristic
534C2×Dic3C23×D313yes—
535C2×Dic3C23×D313yes—
536C2×Dic3C23×D313yes—
537C2×Dic3C23×D311yescharacteristic
538C2×Dic3C23×D313yes—
539C2×Dic3C23×D311yescharacteristic
540D12—62no—
541D12—62no—
542D12—64no—
543D12—62no—
544D12—62no—
545C4×D3—26no—
546C4×D3—62no—
547C4×D3—66no—
548C4×D3—66no—
549C4×D3—66no—
550C4×D3—66no—
551C4×D3—66no—
552C4×D3—66no—
553C4×D3—62no—
554C4×D3—126no—
555C4×D3—126no—
556Dic6—26no—
557Dic6—26no—
558Dic6—66no—
559Dic6—66no—
560Dic6—66no—
561Dic6—66no—
562Dic6—126no—
563Dic6—126no—
564C2×C32C22×#4111yescharacteristic
565C2×C32C2×2−1+411yescharacteristic
566C2×C32C2×2−1+411yescharacteristic
567C3⋊D3—22no—
568C3⋊D3—41no—
569C3×D3—41no—
570C2×Q8—33no—
571C2×Q8—33no—
572C2×Q8—64no—
573C2×Q8—93no—
574C2×Q8—93no—
575C2×Q8—184no—
576C2×Q8—184no—
577C2×Q8C2×D3211yescharacteristic
578C2×D4—91no—
579C2×D4—91no—
580C2×D4—91no—
581C22×C4—33no—
582C22×C4—91no—
583C22×C4—93no—
584C22×C4—93no—
585C22×C4—93no—
586C4⋊C4—33no—
587C4⋊C4—33no—
588C4⋊C4—33no—
589C4⋊C4—33no—
590C4⋊C4—33no—
591C4⋊C4—36no—
592C4⋊C4—31no—
593C4⋊C4—33no—
594C4⋊C4—33no—
595C4⋊C4—96no—
596C4⋊C4—93no—
597C4⋊C4—93no—
598C4⋊C4—96no—
599C4⋊C4—93no—
600C4⋊C4—93no—
601C4⋊C4—96no—
602C4⋊C4—93no—
603C4⋊C4—96no—
604C4⋊C4C2×D3213yes—
605C22⋊C4—31no—
606C22⋊C4—33no—
607C22⋊C4—91no—
608C22⋊C4—93no—
609C22⋊C4—93no—
610C22⋊C4—93no—
611C22⋊C4—93no—
612C22⋊C4—93no—
613C22⋊C4—93no—
614C22⋊C4—93no—
615C42—33no—
616C42—33no—
617C42—36no—
618C42—33no—
619C42—93no—
620C42—93no—
621C42—96no—
622C42C2×D3213yes—
623C22×C3—21no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3C24×D311yescharacteristic
628C22×C3C24×D311yescharacteristic
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—32no—
633C2×D3—32no—
634C2×D3—62no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—61no—
639C2×D3—62no—
640C2×D3—61no—
641C2×D3—61no—
642C2×D3—61no—
643C2×D3—61no—
644C2×D3—61no—
645C2×D3—61no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—121no—
650C3×C4—22no—
651C3×C4—23no—
652C3×C4—21no—
653C3×C4—21no—
654C3×C4—23no—
655C3×C4—26no—
656C3×C4—32no—
657C3×C4—43no—
658C3×C4—63no—
659C3×C4—61no—
660C3×C4—63no—
661C3×C4—63no—
662C3×C4—61no—
663C3×C4—63no—
664C3×C4C2×#23516yes—
665C3×C4C2×#23916yes—
666Dic3—23no—
667Dic3—23no—
668Dic3—23no—
669Dic3—23no—
670Dic3—21no—
671Dic3—21no—
672Dic3—63no—
673Dic3—63no—
674Dic3—63no—
675Dic3—63no—
676Dic3—123no—
677Dic3—123no—
678Dic3#101012yes—
679C32#352311yescharacteristic, complemented, Sylow
680C23—31no—
681C23—91no—
682C23—91no—
683Q8—66no—
684Q8—66no—
685Q8—186no—
686Q8—186no—
687Q8#379914yes—
688D4—182no—
689D4—182no—
690D4—182no—
691C2×C4—31no—
692C2×C4—33no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—33no—
696C2×C4—33no—
697C2×C4—33no—
698C2×C4—66no—
699C2×C4—93no—
700C2×C4—93no—
701C2×C4—182no—
702C2×C4—186no—
703C2×C4—186no—
704C2×C4—186no—
705C2×C4C22×D3213yes—
706C2×C4C22×D3211yescharacteristic
707C2×C4C22×D3213yes—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—121no—
712C2×C3C22×#23511yescharacteristic
713C2×C3C22×#23911yescharacteristic
714C2×C3C2×#101011yescharacteristic
715C2×C3D3×2−1+411yescharacteristic
716C2×C3D3×2−1+411yescharacteristic
717C2×C3D3×2−1+411yescharacteristic
718D3—41no—
719D3—62no—
720D3—62no—
721D3—122no—
722D3—122no—
723D3—121no—
724D3—121no—
725C22—61no—
726C22—61no—
727C22—61no—
728C22—92no—
729C22—181no—
730C22—181no—
731C22—181no—
732C22—181no—
733C22—181no—
734C22C23×D3211yescharacteristic
735C4—21no—
736C4—23no—
737C4—32no—
738C4—63no—
739C4—63no—
740C4—63no—
741C4—61no—
742C4—61no—
743C4—63no—
744C4—183no—
745C4—183no—
746C4C2×#379916yes—
747C3—21no—
748C3#8588411yescharacteristic, complemented
749C3#8702411yescharacteristic, complemented
750C2—121no—
751C2—182no—
752C2—361no—
753C2C22×#379911yescharacteristic
754C2#1059668711yescharacteristic
755C2D3×#101011yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
prime radical#63910C22
hypercenterC4×Q8D32
hypocenterC32#3523
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. Q8×C4⋊(C3⋊D3)C2semidirect
2. C3×#5572C2semidirect
3. C3×#5569C2semidirect
4. Q8×#626C2semidirect
5. Q8×#626C2semidirect
6. Q8×#624C2semidirect
7. #10595339C2semidirect
8. #10594584C2semidirect
9. #10594556C2semidirect
10. #10594397C2semidirect
11. #10594355C2semidirect
12. #10593947C2semidirect
14. #10593881C2semidirect
15. #10593860C2semidirect
89. #5572D3semidirect
93. #5569D3semidirect
679. C32#3523semidirect
748. C3#85884semidirect
749. C3#87024semidirect

Maximal subgroups

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

subgroupindex
Q8×C4⋊(C3⋊D3)2
C3×#55722
C3×#55692
Q8×#6262
Q8×#6242
#105953392
#105945842
#105945562
#105943972
#105943552
#105939472
#105939342
#105938812
#105938602
#870243
#858843