Finite Group Databasebeta

← #11909890

Subgroups — #11909890

Order 1152.

2084 conjugacy classes of subgroups.

The subgroup lattice has 745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596040C211yesmaximal, characteristic, complemented
2C3×Q8×D12C211yesmaximal, characteristic, complemented
3C3×#5572C211yesmaximal, characteristic, complemented
4Q8×#625C211yesmaximal, characteristic, complemented
5Q8×#625C211yesmaximal, characteristic, complemented
6D3×Q8×Dic3C211yesmaximal, characteristic, complemented
7#10595347C211yesmaximal, characteristic, complemented
8#10594576C213yesmaximal, complemented
9#10594456C213yesmaximal, complemented
10#10594385C213yesmaximal, complemented
11#10594345C213yesmaximal, complemented
12#10593917C213yesmaximal, complemented
13#10593910C213yesmaximal
14#10593864C213yesmaximal, complemented
15#10593862C213yesmaximal, complemented
16#86752—31nomaximal
17#85884—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×C3×D3×Q8C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21C32×C4×Q8C2211yescharacteristic
22Q8×C3⋊Dic3C2211yescharacteristic
23Q8×C3⋊Dic3C2211yescharacteristic
24#64099C2213yes—
25#64097C2213yes—
26#64079C2213yes—
27C4×#634C2213yes—
28C3×Q8×Dic3C2211yescharacteristic
29C3×#897C2213yes—
30C3×#897C2213yes—
31C3×#892C2213yes—
32C3×#887C2213yes—
33C3×C4×D12C2213yes—
34C3×#872C2213yes—
35C3×#869C2213yes—
36C3×C4×Dic6C2213yes—
37#63913C2213yes—
38C4×#625C2213yes—
39C4×#625C2213yes—
40#63896C2213yes—
41#63891C2213yes—
42D3×C4⋊Dic3C2213yes—
43#63885C2211yescharacteristic
44#63884C2213yes—
45#63877C2216yes—
46C4×D3×Dic3C2213yes—
47#63873C2213yes—
48#63873C2213yes—
49#63869C2216yes—
50#63861C2213yes—
51#63859C2216yes—
52#63858C2216yes—
53#63858C2213yes—
54#63856C2213yes—
55#63856C2213yes—
56#63856C2213yes—
57#63856C2213yes—
58#63855C2213yes—
59#63847C2216yes—
60#63847C2216yes—
61#63847C2213yes—
62#63844C2216yes—
63#63843C2213yes—
64#63843C2213yes—
65Dic3×Dic6C2213yes—
66Dic3×Dic6C2213yes—
67#63841C2213yes—
68C3×D4×Q8—31no—
69C3×#519—31no—
70Q8×#67—31no—
71Q8×#67—31no—
72Q8×#67—31no—
73Q8×#67—31no—
74#5812—31no—
75C2×Q8×Dic3—31no—
76#5731—33no—
77#5721—33no—
78#5642—33no—
79#5641—33no—
80#5625—33no—
81#5622—33no—
82#5583—33no—
83#5581—33no—
84#5578—33no—
85Q8×D12D311yescharacteristic, complemented
86#5572—31no—
87#5572D311yescharacteristic, complemented
88C4×D3×Q8—31no—
89#5569—31no—
90#5569—31no—
91#5569—61no—
92#5567—33no—
93#5541—33no—
94#5538—33no—
95#5533—33no—
96#5529—33no—
97#5528—33no—
98#5518—33no—
99C2×C32×Q8C2311yescharacteristic
100C2×#634C2313yes—
101C3×D3×Q8—24no—
102C3×D3×Q8—24no—
103C3×D3×Q8—24no—
104C2×C3×D12C2311yescharacteristic
105C2×C3×C4×D3C2313yes—
106C2×C3×C4×D3C2313yes—
107C2×C3×C4×D3C2313yes—
108C2×C3×Dic6C2313yes—
109C2×C3×Dic6C2313yes—
110C2×C3×Dic6C2313yes—
111C2×#625C2311yescharacteristic
112C2×#625C2311yescharacteristic
113C2×D3×Dic3C2311yescharacteristic
114C2×D3×Dic3C2313yes—
115C32×C4⋊C4C2313yes—
116C32×C42C2313yes—
117C4⋊(C3⋊Dic3)C2313yes—
118C4⋊(C3⋊Dic3)C2313yes—
119C4⋊(C3⋊Dic3)C2313yes—
120#3750C2311yescharacteristic
121#3750C2313yes—
122#3750C2316yes—
123C4×C3⋊Dic3C2313yes—
124C4×C3⋊Dic3C2313yes—
125C3×(C2×D3)⋊C4C2313yes—
126C3×(C2×D3)⋊C4C2313yes—
127C3×(C2×D3)⋊C4C2313yes—
128C3×(C2×D3)⋊C4C2311yescharacteristic
129C3×C4⋊Dic3C2313yes—
130C3×C4⋊Dic3C2316yes—
131C3×C4⋊Dic3C2313yes—
132C3×Dic3⋊C4C2313yes—
133C3×Dic3⋊C4C2313yes—
134C3×C4×Dic3C2316yes—
135C3×C4×Dic3C2313yes—
136#3724C2313yes—
137#3724C2316yes—
138#3724C2316yes—
139#3724C2313yes—
140Dic3⋊Dic3C2313yes—
141Dic3⋊Dic3C2316yes—
142Dic3⋊Dic3C2313yes—
143(C2×D3)⋊Dic3C2313yes—
144(C2×D3)⋊Dic3C2311yescharacteristic
145(C2×D3)⋊Dic3C2313yes—
146(C2×D3)⋊Dic3C2313yes—
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149Dic32C2316yes—
150Dic32C2313yes—
151Dic32C2313yes—
152#3523—91noSylow
153C22×C3×Q8—31no—
154C22×C3×Q8—31no—
155C22×C3×Q8—31no—
156C2×D3×Q8C2×D311yescharacteristic
157C2×D3×Q8C2×D311yescharacteristic
158C2×D3×Q8C2×D311yescharacteristic
159C3×C4⋊Q8—33no—
160C3×C22⋊Q8—33no—
161C3×C22⋊Q8—33no—
162C3×C4×Q8—21no—
163C3×C4×Q8—31no—
164C3×C4×Q8—33no—
165C3×C4×Q8—33no—
166C3×C4×Q8C2×D311yescharacteristic
167C3×C4×Q8C2×D311yescharacteristic
168C3×C4×D4—33no—
169C3×#117—33no—
170C3×#117—33no—
171#946—33no—
172#946—33no—
173#946—33no—
174#946—33no—
175Q8×Dic3—31no—
176Q8×Dic3—31no—
177Q8×Dic3—31no—
178Q8×Dic3—31no—
179Q8×Dic3—33no—
180Q8×Dic3—33no—
181Q8×Dic3—33no—
182Q8×Dic3—33no—
183Q8×Dic3—61no—
184Q8×Dic3—61no—
185Q8×Dic3C2×D311yescharacteristic
186#944—33no—
187#944—33no—
188#944—33no—
189#944—33no—
190#939—31no—
191#935—33no—
192C4×#67—33no—
193C4×#67—33no—
194C4×#67—33no—
195C4×#67—33no—
196#926—33no—
197#926—33no—
198C2×C4⋊Dic3—33no—
199#924—33no—
200#924—33no—
201#924—33no—
202#924—33no—
203C2×C4×Dic3—33no—
204#898—36no—
205#898—33no—
206#898—33no—
207#897C2×D313yes—
208#897C2×D313yes—
209#896—33no—
210#894—33no—
211#892—33no—
212#892C2×D313yes—
213D3×C4⋊C4—33no—
214#890—33no—
215#890—33no—
216#890—36no—
217#890—63no—
218#889—36no—
219#889—36no—
220#889—33no—
221#889—33no—
222#889—36no—
223#889—36no—
224#888—33no—
225#888—33no—
226#888—63no—
227#887—33no—
228#887—33no—
229#887—36no—
230#887C2×D313yes—
231#886—33no—
232#885—33no—
233#885—33no—
234#884—31no—
235#883—33no—
236#879—33no—
237#879—36no—
238#879—33no—
239#879—36no—
240#878—33no—
241#877—36no—
242#876—36no—
243C4×D12C2×D313yes—
244#872—33no—
245#872—36no—
246#872C2×D313yes—
247C42×D3—33no—
248#870—33no—
249#870—33no—
250#870—36no—
251#870—63no—
252#869C2×D313yes—
253C4×Dic6—33no—
254C4×Dic6—33no—
255C4×Dic6—33no—
256C4×Dic6—33no—
257C4×Dic6—36no—
258C4×Dic6—63no—
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—
269C2×C3⋊Dic3C2411yescharacteristic
270C2×C3⋊Dic3C2411yescharacteristic
271#634—26no—
272C2×C3×Dic3C2411yescharacteristic
273C2×C3×Dic3C2413yes—
274C2×C3×Dic3C2413yes—
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2413yes—
277C3×D12—22no—
278C3×C4×D3—26no—
279C3×C4×D3—26no—
280C3×C4×D3—26no—
281C3×Dic6—26no—
282C3×Dic6—26no—
283C3×Dic6—26no—
284#625—22no—
285#625—22no—
286D3×Dic3—26no—
287D3×Dic3—22no—
288#557—93no—
289#557—91no—
290#556—93no—
291#552—93no—
292#552—93no—
293D4×Q8—31no—
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—33no—
307C2×C3×Q8—64no—
308C2×C3×Q8—64no—
309C2×C3×Q8—64no—
310C2×C3×Q8C22×D311yescharacteristic
311C2×C3×Q8C22×D311yescharacteristic
312C2×C3×D4—31no—
313C22×C3×C4—33no—
314C22×C3×C4—33no—
315C22×C3×C4—33no—
316C2×#67—31no—
317C2×#67—31no—
318C2×#67—31no—
319C2×#67—31no—
320C22×Dic3—33no—
321C22×Dic3—31no—
322D3×Q8—24no—
323D3×Q8—24no—
324D3×Q8—24no—
325C2×D12C22×D311yescharacteristic
326C2×C4×D3—31no—
327C2×C4×D3—33no—
328C2×C4×D3C22×D313yes—
329C2×C4×D3C22×D313yes—
330C2×C4×D3C22×D313yes—
331C2×Dic6—33no—
332C2×Dic6—33no—
333C2×Dic6—63no—
334C2×Dic6C22×D313yes—
335C2×Dic6C22×D313yes—
336C2×Dic6C22×D313yes—
337C3×C4⋊C4—23no—
338C3×C4⋊C4—33no—
339C3×C4⋊C4—36no—
340C3×C4⋊C4—33no—
341C3×C4⋊C4—33no—
342C3×C4⋊C4—33no—
343C3×C4⋊C4C22×D313yes—
344C3×C4⋊C4C22×D313yes—
345C3×C22⋊C4—33no—
346C3×C22⋊C4—31no—
347C3×C22⋊C4—33no—
348C3×C22⋊C4—33no—
349C3×C42—23no—
350C3×C42—33no—
351C3×C42—36no—
352C3×C42C22×D313yes—
353C3×C42C22×D313yes—
354#217—33no—
355#217—33no—
356#217—33no—
357#217—33no—
358#217—31no—
359#217—33no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—33no—
362(C2×D3)⋊C4—33no—
363(C2×D3)⋊C4—33no—
364(C2×D3)⋊C4—33no—
365(C2×D3)⋊C4—33no—
366(C2×D3)⋊C4C22×D313yes—
367(C2×D3)⋊C4C22×D311yescharacteristic
368(C2×D3)⋊C4C22×D313yes—
369(C2×D3)⋊C4C22×D313yes—
370C4⋊Dic3—33no—
371C4⋊Dic3—33no—
372C4⋊Dic3—33no—
373C4⋊Dic3—33no—
374C4⋊Dic3—33no—
375C4⋊Dic3—33no—
376C4⋊Dic3—33no—
377C4⋊Dic3—36no—
378C4⋊Dic3—33no—
379C4⋊Dic3—63no—
380C4⋊Dic3—63no—
381C4⋊Dic3—63no—
382C4⋊Dic3C22×D316yes—
383C4⋊Dic3C22×D313yes—
384C4⋊Dic3C22×D313yes—
385Dic3⋊C4—31no—
386Dic3⋊C4—31no—
387Dic3⋊C4—33no—
388Dic3⋊C4—33no—
389Dic3⋊C4—36no—
390Dic3⋊C4—36no—
391Dic3⋊C4—33no—
392Dic3⋊C4—33no—
393Dic3⋊C4—36no—
394Dic3⋊C4—36no—
395Dic3⋊C4—33no—
396Dic3⋊C4—33no—
397Dic3⋊C4—36no—
398Dic3⋊C4—36no—
399Dic3⋊C4—33no—
400Dic3⋊C4—36no—
401Dic3⋊C4—33no—
402Dic3⋊C4—61no—
403Dic3⋊C4—63no—
404Dic3⋊C4—66no—
405Dic3⋊C4C22×D313yes—
406Dic3⋊C4C22×D313yes—
407C4×Dic3—33no—
408C4×Dic3—33no—
409C4×Dic3—33no—
410C4×Dic3—33no—
411C4×Dic3—33no—
412C4×Dic3—33no—
413C4×Dic3—36no—
414C4×Dic3—36no—
415C4×Dic3—33no—
416C4×Dic3—33no—
417C4×Dic3—63no—
418C4×Dic3—63no—
419C4×Dic3C22×D316yes—
420C4×Dic3C22×D313yes—
421C22×C32C2511yescharacteristic
422C2×C3×D3—21no—
423C2×C3×D3—21no—
424C2×C3×D3—21no—
425C2×C3×D3—21no—
426C2×C3×D3—21no—
427C2×C3×D3—21no—
428C2×C3×D3—21no—
429C2×C3×D3—21no—
430C2×C3×D32−1+412yes—
431C32×C4—21no—
432C32×C4—23no—
433C32×C4C2×#4116yes—
434C3⋊Dic3—23no—
435C3⋊Dic3—21no—
436C3⋊Dic3—23no—
437C3⋊Dic32−1+412yes—
438C3×Dic3—23no—
439C3×Dic3—23no—
440C3×Dic3—23no—
441C3×Dic3—23no—
442C3×Dic3—21no—
443C22×Q8—31no—
444C22×Q8—31no—
445C22×Q8—31no—
446C4⋊Q8—33no—
447C4⋊Q8—93no—
448C4⋊Q8—93no—
449C4⋊Q8—93no—
450#126—96no—
451#126—93no—
452#126—93no—
453#126—96no—
454#125—96no—
455#125—93no—
456#125—96no—
457#125—96no—
458#125—93no—
459#125—93no—
460#124—93no—
461#123—93no—
462#123—93no—
463C22⋊Q8—33no—
464C22⋊Q8—33no—
465C22⋊Q8—93no—
466C22⋊Q8—93no—
467C22⋊Q8—93no—
468C22⋊Q8—93no—
469C22⋊Q8—93no—
470#121—91no—
471C4×Q8—31no—
472C4×Q8—33no—
473C4×Q8—33no—
474C4×Q8—96no—
475C4×Q8—93no—
476C4×Q8—93no—
477C4×Q8—93no—
478C4×Q8—93no—
479C4×Q8—91no—
480C4×Q8—91no—
481C4×Q8—93no—
482C4×Q8D3211yescharacteristic
483C4×D4—33no—
484C4×D4—93no—
485C4×D4—93no—
486#117—33no—
487#117—33no—
488#117—96no—
489#117—93no—
490#117—93no—
491C2×C4⋊C4—93no—
492C2×C42—93no—
493C23×C3—31no—
494C23×C3—31no—
495C23×C3—31no—
496C22×D3C23×D311yescharacteristic
497C22×D3C23×D311yescharacteristic
498C22×D3C23×D311yescharacteristic
499C3×Q8—24no—
500C3×Q8—66no—
501C3×Q8—66no—
502C3×Q8—66no—
503C3×Q8#23514yes—
504C3×Q8#23714yes—
505C3×D4—62no—
506C2×C3×C4—23no—
507C2×C3×C4—21no—
508C2×C3×C4—23no—
509C2×C3×C4—33no—
510C2×C3×C4—31no—
511C2×C3×C4—33no—
512C2×C3×C4—33no—
513C2×C3×C4—33no—
514C2×C3×C4—66no—
515C2×C3×C4—66no—
516C2×C3×C4—66no—
517C2×C3×C4C23×D313yes—
518C2×C3×C4C23×D311yescharacteristic
519C2×C3×C4C23×D311yescharacteristic
520C2×C3×C4C23×D313yes—
521C2×C3×C4C23×D313yes—
522C2×C3×C4C23×D313yes—
523#67—62no—
524#67—62no—
525#67—62no—
526#67—62no—
527C2×Dic3—31no—
528C2×Dic3—31no—
529C2×Dic3—31no—
530C2×Dic3—33no—
531C2×Dic3—33no—
532C2×Dic3—31no—
533C2×Dic3—33no—
534C2×Dic3—33no—
535C2×Dic3—61no—
536C2×Dic3—61no—
537C2×Dic3—63no—
538C2×Dic3—63no—
539C2×Dic3—62no—
540C2×Dic3—66no—
541C2×Dic3C23×D311yescharacteristic
542C2×Dic3C23×D313yes—
543C2×Dic3C23×D313yes—
544C2×Dic3C23×D313yes—
545C2×Dic3C23×D313yes—
546D12—22no—
547C4×D3—26no—
548C4×D3—26no—
549C4×D3—26no—
550C4×D3—62no—
551C4×D3—66no—
552Dic6—26no—
553Dic6—26no—
554Dic6—26no—
555Dic6—66no—
556Dic6—66no—
557Dic6—126no—
558C2×C32C22×#4111yescharacteristic
559C2×C32C2×2−1+411yescharacteristic
560C2×C32C2×2−1+411yescharacteristic
561C3×D3—22no—
562C3×D3—41no—
563C3×D3—41no—
564C2×Q8—33no—
565C2×Q8—33no—
566C2×Q8—33no—
567C2×Q8—64no—
568C2×Q8—64no—
569C2×Q8—64no—
570C2×Q8—93no—
571C2×Q8C2×D3211yescharacteristic
572C2×D4—31no—
573C2×D4—91no—
574C2×D4—91no—
575C22×C4—33no—
576C22×C4—33no—
577C22×C4—33no—
578C22×C4—91no—
579C22×C4—93no—
580C4⋊C4—33no—
581C4⋊C4—33no—
582C4⋊C4—33no—
583C4⋊C4—33no—
584C4⋊C4—36no—
585C4⋊C4—96no—
586C4⋊C4—93no—
587C4⋊C4—93no—
588C4⋊C4—96no—
589C4⋊C4—93no—
590C4⋊C4—93no—
591C4⋊C4—96no—
592C4⋊C4—93no—
593C4⋊C4—93no—
594C4⋊C4—96no—
595C4⋊C4—91no—
596C4⋊C4—93no—
597C4⋊C4—93no—
598C4⋊C4C2×D3213yes—
599C22⋊C4—31no—
600C22⋊C4—33no—
601C22⋊C4—33no—
602C22⋊C4—33no—
603C22⋊C4—91no—
604C22⋊C4—93no—
605C22⋊C4—93no—
606C22⋊C4—93no—
607C22⋊C4—93no—
608C22⋊C4—93no—
609C42—33no—
610C42—36no—
611C42—93no—
612C42—93no—
613C42—96no—
614C42—93no—
615C42—93no—
616C42C2×D3213yes—
617C22×C3—21no—
618C22×C3—32no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—61no—
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—21no—
633C2×D3—21no—
634C2×D3—21no—
635C2×D3—21no—
636C2×D3—21no—
637C2×D3#100712yes—
638C3×C4—21no—
639C3×C4—23no—
640C3×C4—23no—
641C3×C4—21no—
642C3×C4—26no—
643C3×C4—43no—
644C3×C4—41no—
645C3×C4—63no—
646C3×C4—63no—
647C3×C4—63no—
648C3×C4—63no—
649C3×C4—61no—
650C3×C4C2×#23516yes—
651C3×C4C2×#23716yes—
652Dic3—23no—
653Dic3—23no—
654Dic3—23no—
655Dic3—23no—
656Dic3—21no—
657Dic3—32no—
658Dic3—32no—
659Dic3—62no—
660Dic3—63no—
661Dic3—61no—
662Dic3—63no—
663Dic3—63no—
664Dic3—63no—
665Dic3—61no—
666Dic3—123no—
667Dic3—123no—
668Dic3—121no—
669C32#352311yescharacteristic, complemented, Sylow
670C23—31no—
671C23—31no—
672C23—31no—
673Q8—66no—
674Q8—66no—
675Q8—66no—
676Q8—186no—
677Q8#379514yes—
678D4—62no—
679D4—182no—
680D4—182no—
681C2×C4—33no—
682C2×C4—31no—
683C2×C4—33no—
684C2×C4—33no—
685C2×C4—33no—
686C2×C4—66no—
687C2×C4—66no—
688C2×C4—66no—
689C2×C4—91no—
690C2×C4—93no—
691C2×C4—91no—
692C2×C4—93no—
693C2×C4—182no—
694C2×C4—186no—
695C2×C4C22×D3213yes—
696C2×C4C22×D3211yescharacteristic
697C2×C4C22×D3213yes—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—62no—
702C2×C3—121no—
703C2×C3—121no—
704C2×C3C22×#23511yescharacteristic
705C2×C3C22×#23711yescharacteristic
706C2×C3C2×#100711yescharacteristic
707C2×C3D3×2−1+411yescharacteristic
708C2×C3D3×2−1+411yescharacteristic
709C2×C3D3×2−1+411yescharacteristic
710D3—22no—
711D3—41no—
712D3—41no—
713C22—32no—
714C22—61no—
715C22—61no—
716C22—61no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—61no—
721C22—61no—
722C22C23×D3211yescharacteristic
723C4—21no—
724C4—23no—
725C4—63no—
726C4—63no—
727C4—63no—
728C4—63no—
729C4—61no—
730C4—92no—
731C4—183no—
732C4—181no—
733C4—183no—
734C4C2×#379516yes—
735C3—21no—
736C3#8588411yescharacteristic, complemented
737C3#8675211yescharacteristic, complemented
738C2—62no—
739C2—121no—
740C2—121no—
741C2C22×#379511yescharacteristic
742C2D3×#100711yescharacteristic
743C2#1059669411yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
prime radical#63885C22
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. #10596040C2semidirect
2. C3×Q8×D12C2semidirect
3. C3×#5572C2semidirect
4. Q8×#625C2semidirect
5. Q8×#625C2semidirect
6. D3×Q8×Dic3C2semidirect
7. #10595347C2semidirect
8. #10594576C2semidirect
9. #10594456C2semidirect
10. #10594385C2semidirect
11. #10594345C2semidirect
12. #10593917C2semidirect
14. #10593864C2semidirect
15. #10593862C2semidirect
85. Q8×D12D3semidirect
87. #5572D3semidirect
669. C32#3523semidirect
736. C3#85884semidirect
737. C3#86752semidirect

Maximal subgroups

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

subgroupindex
#105960402
C3×Q8×D122
C3×#55722
Q8×#6252
D3×Q8×Dic32
#105953472
#105945762
#105944562
#105943852
#105943452
#105939172
#105939102
#105938642
#105938622
#867523
#858843