Finite Group Databasebeta

← #11909891

Subgroups — #11909891

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×#638C211yesmaximal, characteristic, complemented
2C3×Q8×#67C211yesmaximal, characteristic, complemented
3C2×C3×Q8×Dic3C211yesmaximal, characteristic, complemented
4#10595422C211yesmaximal, characteristic, complemented
5#10595420C213yesmaximal, complemented
6#10595411C213yesmaximal, complemented
7Q8×#626C211yesmaximal, characteristic, complemented
8#10595354C213yesmaximal, complemented
9#10595348C213yesmaximal, complemented
10#10595347C211yesmaximal, characteristic, complemented
11#10595339C211yesmaximal, characteristic, complemented
12#10594849C213yesmaximal, complemented
13#10594839C213yesmaximal
14#10594825C213yesmaximal, complemented
15#10594808C213yesmaximal, complemented
16#86752—31nomaximal
17#85804—31nomaximal
18C22×C32×Q8C2211yescharacteristic
19C2×Q8×C3⋊D3C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21#64155C2213yes—
22Q8×C3⋊Dic3C2211yescharacteristic
23#64153C2213yes—
24C4×#638C2213yes—
25#64133C2213yes—
26C3×#946C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×Q8×Dic3C2213yes—
30C3×Q8×Dic3C2211yescharacteristic
31C3×Q8×Dic3C2213yes—
32C3×#944C2213yes—
33C3×C4×#67C2213yes—
34C2×C3×C4⋊Dic3C2213yes—
35C3×#924C2213yes—
36C2×C3×C4×Dic3C2213yes—
37#63978C2211yescharacteristic
38#63966C2213yes—
39#63964C2213yes—
40#63961C2213yes—
41#63955C2216yes—
42#63918C2213yes—
43C4×#627C2213yes—
44C4×#626C2213yes—
45#63874C2213yes—
46#63872C2213yes—
47#63871C2213yes—
48#63869C2213yes—
49#63868C2213yes—
50#63867C2216yes—
51#63867C2213yes—
52#63866C2213yes—
53#63859C2213yes—
54#63858C2216yes—
55#63857C2213yes—
56#63855C2213yes—
57#63852C2213yes—
58#63849C2213yes—
59#63848C2216yes—
60#63847C2216yes—
61#63846C2216yes—
62#63844C2213yes—
63#63844C2213yes—
64#63843C2213yes—
65Dic3×Dic6C2213yes—
66#63841C2213yes—
67#63837C2216yes—
68C3×D4×Q8—31no—
69C2×C3×C4×Q8—31no—
70Q8×#67—31no—
71Q8×#67—31no—
72Q8×#67—31no—
73Q8×#67—61no—
74Q8×#67D311yescharacteristic, complemented
75#5812—31no—
76C2×Q8×Dic3D311yescharacteristic, complemented
77#5731—33no—
78#5721—33no—
79#5642—33no—
80#5641—33no—
81#5625—33no—
82#5622—33no—
83#5584—33no—
84#5583—33no—
85#5583—33no—
86Q8×D12—31no—
87#5572—31no—
88#5572—31no—
89#5572—31no—
90#5570—31no—
91#5569—31no—
92#5567—33no—
93#5541—33no—
94#5538—33no—
95#5513—33no—
96#5513—33no—
97#5479—33no—
98#5470—33no—
99C2×C32×Q8—24no—
100C2×C32×Q8C2313yes—
101C2×C32×Q8C2311yescharacteristic
102C22×C32×C4C2313yes—
103C2×#638C2311yescharacteristic
104Q8×C3⋊D3—24no—
105C2×C4×C3⋊D3C2313yes—
106C2×#634C2313yes—
107C2×C3×#67C2311yescharacteristic
108C22×C3×Dic3C2311yescharacteristic
109C22×C3×Dic3C2313yes—
110C3×D3×Q8—24no—
111C2×C3×C4×D3C2313yes—
112C2×C3×Dic6C2313yes—
113C2×#627C2313yes—
114C2×#626C2311yescharacteristic
115#3757C2313yes—
116#3752C2313yes—
117C4⋊(C3⋊Dic3)C2313yes—
118#3750C2316yes—
119#3750C2313yes—
120C4×C3⋊Dic3C2313yes—
121C3×#217C2313yes—
122C3×(C2×D3)⋊C4C2313yes—
123C3×C4⋊Dic3C2313yes—
124C3×C4⋊Dic3C2313yes—
125C3×C4⋊Dic3C2316yes—
126C3×C4⋊Dic3C2313yes—
127C3×Dic3⋊C4C2316yes—
128C3×Dic3⋊C4C2313yes—
129C3×C4×Dic3C2313yes—
130C3×C4×Dic3C2313yes—
131C3×C4×Dic3C2313yes—
132C3×C4×Dic3C2313yes—
133C3×C4×Dic3C2313yes—
134#3724C2313yes—
135#3724C2313yes—
136#3724C2313yes—
137Dic3⋊Dic3C2313yes—
138Dic3⋊Dic3C2313yes—
139Dic3⋊Dic3C2313yes—
140Dic3⋊Dic3C2313yes—
141Dic3⋊Dic3C2316yes—
142Dic3⋊Dic3C2316yes—
143Dic3⋊Dic3C2311yescharacteristic
144#3722C2313yes—
145#3722C2313yes—
146#3722C2311yescharacteristic
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2311yescharacteristic
149(C2×D3)⋊Dic3C2313yes—
150Dic32C2316yes—
151Dic32C2316yes—
152#3523—91noSylow
153C22×C3×Q8—21no—
154C22×C3×Q8—31no—
155C22×C3×Q8C2×D311yescharacteristic
156C22×C3×Q8C2×D311yescharacteristic
157C2×D3×Q8—31no—
158C2×D3×Q8—31no—
159C2×D3×Q8—61no—
160C2×D3×Q8C2×D311yescharacteristic
161C3×C4⋊Q8—33no—
162C3×C22⋊Q8—33no—
163C3×C22⋊Q8—33no—
164C3×C4×Q8—33no—
165C3×C4×Q8—31no—
166C3×C4×Q8—31no—
167C3×C4×Q8—31no—
168C3×C4×Q8—33no—
169C3×C4×D4—33no—
170C2×C3×C4⋊C4—33no—
171C2×C3×C42—33no—
172#946—33no—
173#946—33no—
174#946—33no—
175#946—63no—
176#946C2×D313yes—
177Q8×Dic3—31no—
178Q8×Dic3—31no—
179Q8×Dic3—33no—
180Q8×Dic3—33no—
181Q8×Dic3—61no—
182Q8×Dic3C2×D313yes—
183Q8×Dic3C2×D313yes—
184Q8×Dic3C2×D311yescharacteristic
185Q8×Dic3C2×D311yescharacteristic
186Q8×Dic3C2×D311yescharacteristic
187#944—33no—
188#944—33no—
189#944—33no—
190#944—63no—
191#944C2×D313yes—
192#939—31no—
193#935—33no—
194#930—31no—
195#929—33no—
196#929—33no—
197C4×#67—33no—
198C4×#67—33no—
199C4×#67—33no—
200C4×#67—63no—
201C4×#67C2×D313yes—
202#926—36no—
203#926—33no—
204#926—33no—
205C2×C4⋊Dic3C2×D313yes—
206#924—33no—
207#924—33no—
208#924—33no—
209#924—33no—
210#924—63no—
211#924C2×D313yes—
212C2×C4×Dic3C2×D313yes—
213#898—36no—
214#898—36no—
215#898—36no—
216#898—33no—
217#897—33no—
218#897—33no—
219#892—33no—
220#892—33no—
221#892—33no—
222#890—36no—
223#890—33no—
224#890—33no—
225#890—33no—
226#889—36no—
227#889—36no—
228#889—36no—
229#889—33no—
230#889—36no—
231#888—33no—
232#887—33no—
233#887—36no—
234#887—33no—
235#887—33no—
236#886—33no—
237#885—33no—
238#879—36no—
239#879—33no—
240#878—33no—
241#877—36no—
242#876—33no—
243#876—33no—
244#875—33no—
245C4×D12—33no—
246#872—33no—
247#872—33no—
248#872—33no—
249#870—33no—
250#870—36no—
251#870—33no—
252#869—33no—
253#869—33no—
254C4×Dic6—33no—
255C4×Dic6—33no—
256C4×Dic6—33no—
257C4×Dic6—36no—
258C4×Dic6—33no—
259C4×Dic6—33no—
260C23×C32C2411yescharacteristic
261C22×C3⋊D3C2411yescharacteristic
262C22×C3×D3C2411yescharacteristic
263C32×Q8—26no—
264C32×Q8#4114yes—
265C2×C32×C4—26no—
266C2×C32×C4C2413yes—
267C2×C32×C4C2413yes—
268#638—22no—
269C2×C3⋊Dic3C2413yes—
270C2×C3⋊Dic3C2413yes—
271C2×C3⋊Dic3C2411yescharacteristic
272C4×C3⋊D3—26no—
273#634—26no—
274C3×#67—22no—
275C2×C3×Dic3—26no—
276C2×C3×Dic3—22no—
277C2×C3×Dic3C2413yes—
278C2×C3×Dic3C2413yes—
279C2×C3×Dic3C2413yes—
280C2×C3×Dic3C2413yes—
281C2×C3×Dic3C2411yescharacteristic
282C2×C3×Dic3C2411yescharacteristic
283C2×C3×Dic3C2411yescharacteristic
284C3×C4×D3—26no—
285C3×Dic6—26no—
286#627—26no—
287#626—22no—
288#557—91no—
289#557—93no—
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—91no—
301#519—91no—
302C2×C4×Q8—31no—
303C2×C3×Q8—24no—
304C2×C3×Q8—24no—
305C2×C3×Q8—21no—
306C2×C3×Q8—23no—
307C2×C3×Q8—33no—
308C2×C3×Q8—44no—
309C2×C3×Q8—64no—
310C2×C3×Q8C22×D313yes—
311C2×C3×Q8C22×D313yes—
312C2×C3×Q8C22×D311yescharacteristic
313C2×C3×Q8C22×D311yescharacteristic
314C2×C3×D4—31no—
315C22×C3×C4—23no—
316C22×C3×C4—31no—
317C22×C3×C4—33no—
318C22×C3×C4—33no—
319C22×C3×C4C22×D313yes—
320C22×C3×C4C22×D313yes—
321C2×#67—31no—
322C2×#67—31no—
323C2×#67—31no—
324C2×#67—61no—
325C2×#67C22×D311yescharacteristic
326C22×Dic3C22×D313yes—
327C22×Dic3C22×D311yescharacteristic
328D3×Q8—24no—
329D3×Q8—64no—
330D3×Q8—64no—
331D3×Q8—124no—
332C2×D12—31no—
333C2×C4×D3—33no—
334C2×C4×D3—33no—
335C2×C4×D3—63no—
336C2×C4×D3C22×D313yes—
337C2×Dic6—33no—
338C2×Dic6—33no—
339C2×Dic6—33no—
340C2×Dic6—33no—
341C2×Dic6—63no—
342C2×Dic6C22×D313yes—
343C3×C4⋊C4—33no—
344C3×C4⋊C4—33no—
345C3×C4⋊C4—36no—
346C3×C4⋊C4—33no—
347C3×C4⋊C4—36no—
348C3×C4⋊C4—33no—
349C3×C22⋊C4—33no—
350C3×C22⋊C4—33no—
351C3×C42—33no—
352C3×C42—33no—
353C3×C42—33no—
354C3×C42—33no—
355C3×C42—33no—
356#217—33no—
357#217—33no—
358#217—33no—
359#217—31no—
360#217—33no—
361#217—63no—
362#217C22×D313yes—
363(C2×D3)⋊C4—31no—
364(C2×D3)⋊C4—33no—
365(C2×D3)⋊C4—33no—
366(C2×D3)⋊C4—33no—
367(C2×D3)⋊C4—33no—
368(C2×D3)⋊C4—31no—
369(C2×D3)⋊C4—31no—
370(C2×D3)⋊C4—33no—
371(C2×D3)⋊C4—33no—
372(C2×D3)⋊C4—33no—
373(C2×D3)⋊C4—33no—
374(C2×D3)⋊C4—63no—
375(C2×D3)⋊C4C22×D313yes—
376C4⋊Dic3—33no—
377C4⋊Dic3—33no—
378C4⋊Dic3—31no—
379C4⋊Dic3—33no—
380C4⋊Dic3—33no—
381C4⋊Dic3—36no—
382C4⋊Dic3—36no—
383C4⋊Dic3—33no—
384C4⋊Dic3—33no—
385C4⋊Dic3—63no—
386C4⋊Dic3C22×D313yes—
387C4⋊Dic3C22×D313yes—
388C4⋊Dic3C22×D313yes—
389C4⋊Dic3C22×D316yes—
390Dic3⋊C4—36no—
391Dic3⋊C4—33no—
392Dic3⋊C4—36no—
393Dic3⋊C4—33no—
394Dic3⋊C4—31no—
395Dic3⋊C4—33no—
396Dic3⋊C4—33no—
397Dic3⋊C4—33no—
398Dic3⋊C4—33no—
399Dic3⋊C4—33no—
400Dic3⋊C4—33no—
401Dic3⋊C4—33no—
402Dic3⋊C4—33no—
403Dic3⋊C4—36no—
404Dic3⋊C4—33no—
405Dic3⋊C4—36no—
406Dic3⋊C4—33no—
407Dic3⋊C4—66no—
408Dic3⋊C4—63no—
409Dic3⋊C4C22×D316yes—
410Dic3⋊C4C22×D313yes—
411C4×Dic3—33no—
412C4×Dic3—33no—
413C4×Dic3—36no—
414C4×Dic3—36no—
415C4×Dic3—36no—
416C4×Dic3—36no—
417C4×Dic3—63no—
418C4×Dic3C22×D313yes—
419C4×Dic3C22×D313yes—
420C4×Dic3C22×D313yes—
421C4×Dic3C22×D313yes—
422C4×Dic3C22×D313yes—
423C22×C32—21no—
424C22×C32—21no—
425C22×C322−1+412yes—
426C22×C32C2511yescharacteristic
427C2×C3⋊D3—21no—
428C2×C3⋊D3—21no—
429C2×C3⋊D3—21no—
430C2×C3×D3—21no—
431C2×C3×D3—21no—
432C2×C3×D3—21no—
433C32×C4—23no—
434C32×C4C2×#4116yes—
435C3⋊Dic3—21no—
436C3⋊Dic3—23no—
437C3⋊Dic3—23no—
438C3×Dic3—23no—
439C3×Dic3—23no—
440C3×Dic3—21no—
441C3×Dic3—23no—
442C3×Dic3—23no—
443C3×Dic3—21no—
444C3×Dic32−1+412yes—
445C22×Q8—31no—
446C22×Q8—91no—
447C22×Q8D3211yescharacteristic
448C4⋊Q8—33no—
449C4⋊Q8—93no—
450C4⋊Q8—93no—
451C4⋊Q8—93no—
452#126—93no—
453#126—93no—
454#126—96no—
455#126—96no—
456#125—93no—
457#125—96no—
458#125—93no—
459#125—96no—
460#125—96no—
461#125—93no—
462#124—93no—
463#123—93no—
464#123—93no—
465C22⋊Q8—33no—
466C22⋊Q8—33no—
467C22⋊Q8—93no—
468C22⋊Q8—93no—
469C22⋊Q8—93no—
470C22⋊Q8—93no—
471C22⋊Q8—93no—
472#121—91no—
473C4×Q8—31no—
474C4×Q8—33no—
475C4×Q8—31no—
476C4×Q8—33no—
477C4×Q8—31no—
478C4×Q8—93no—
479C4×Q8—93no—
480C4×Q8—93no—
481C4×Q8—96no—
482C4×Q8—93no—
483C4×Q8—93no—
484C4×Q8—91no—
485C4×D4—33no—
486C4×D4—93no—
487C4×D4—93no—
488#117—93no—
489#117—93no—
490#117—96no—
491#117—93no—
492#117—93no—
493C2×C4⋊C4—33no—
494C2×C42—33no—
495C23×C3—21no—
496C23×C3—31no—
497C23×C3C23×D311yescharacteristic
498C23×C3C23×D311yescharacteristic
499C22×D3—31no—
500C22×D3—31no—
501C22×D3—61no—
502C22×D3C23×D311yescharacteristic
503C3×Q8—26no—
504C3×Q8—26no—
505C3×Q8—24no—
506C3×Q8—46no—
507C3×Q8—66no—
508C3×Q8#23514yes—
509C3×Q8#23714yes—
510C3×D4—62no—
511C2×C3×C4—26no—
512C2×C3×C4—26no—
513C2×C3×C4—23no—
514C2×C3×C4—23no—
515C2×C3×C4—31no—
516C2×C3×C4—33no—
517C2×C3×C4—33no—
518C2×C3×C4—33no—
519C2×C3×C4—31no—
520C2×C3×C4—31no—
521C2×C3×C4—33no—
522C2×C3×C4—46no—
523C2×C3×C4—62no—
524C2×C3×C4—66no—
525C2×C3×C4—66no—
526C2×C3×C4C23×D313yes—
527C2×C3×C4C23×D313yes—
528C2×C3×C4C23×D313yes—
529C2×C3×C4C23×D313yes—
530#67—22no—
531#67—64no—
532#67—62no—
533#67—62no—
534#67—62no—
535C2×Dic3—26no—
536C2×Dic3—22no—
537C2×Dic3—31no—
538C2×Dic3—33no—
539C2×Dic3—31no—
540C2×Dic3—33no—
541C2×Dic3—33no—
542C2×Dic3—33no—
543C2×Dic3—61no—
544C2×Dic3—63no—
545C2×Dic3—63no—
546C2×Dic3C23×D313yes—
547C2×Dic3C23×D313yes—
548C2×Dic3C23×D313yes—
549C2×Dic3C23×D311yescharacteristic
550C2×Dic3C23×D311yescharacteristic
551C2×Dic3C23×D313yes—
552C2×Dic3C23×D311yescharacteristic
553D12—62no—
554C4×D3—26no—
555C4×D3—66no—
556C4×D3—66no—
557C4×D3—126no—
558Dic6—26no—
559Dic6—66no—
560Dic6—66no—
561Dic6—66no—
562Dic6—66no—
563Dic6—126no—
564C2×C32—22no—
565C2×C32C22×#4111yescharacteristic
566C2×C32C2×2−1+411yescharacteristic
567C2×C32C2×2−1+411yescharacteristic
568C3⋊D3—41no—
569C3×D3—41no—
570C2×Q8—24no—
571C2×Q8—33no—
572C2×Q8—64no—
573C2×Q8—93no—
574C2×Q8—93no—
575C2×Q8—184no—
576C2×Q8C2×D3213yes—
577C2×Q8C2×D3211yescharacteristic
578C2×D4—31no—
579C2×D4—91no—
580C2×D4—91no—
581C22×C4—31no—
582C22×C4—33no—
583C22×C4—33no—
584C22×C4—93no—
585C22×C4C2×D3213yes—
586C4⋊C4—33no—
587C4⋊C4—33no—
588C4⋊C4—36no—
589C4⋊C4—33no—
590C4⋊C4—33no—
591C4⋊C4—36no—
592C4⋊C4—93no—
593C4⋊C4—93no—
594C4⋊C4—93no—
595C4⋊C4—93no—
596C4⋊C4—96no—
597C4⋊C4—96no—
598C4⋊C4—93no—
599C4⋊C4—91no—
600C4⋊C4—93no—
601C4⋊C4—93no—
602C4⋊C4—93no—
603C4⋊C4—93no—
604C4⋊C4—96no—
605C22⋊C4—33no—
606C22⋊C4—33no—
607C22⋊C4—91no—
608C22⋊C4—93no—
609C22⋊C4—93no—
610C22⋊C4—91no—
611C22⋊C4—93no—
612C22⋊C4—93no—
613C22⋊C4—93no—
614C22⋊C4—93no—
615C42—33no—
616C42—33no—
617C42—33no—
618C42—33no—
619C42—33no—
620C42—96no—
621C42—96no—
622C42—93no—
623C22×C3—21no—
624C22×C3—21no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—22no—
628C22×C3—21no—
629C22×C3—41no—
630C22×C3—41no—
631C22×C3—61no—
632C22×C3—61no—
633C22×C3—61no—
634C22×C3#100712yes—
635C22×C3#101012yes—
636C22×C3C24×D311yescharacteristic
637C22×C3C24×D311yescharacteristic
638C2×D3—21no—
639C2×D3—21no—
640C2×D3—21no—
641C2×D3—62no—
642C2×D3—61no—
643C2×D3—61no—
644C2×D3—61no—
645C2×D3—61no—
646C2×D3—61no—
647C2×D3—61no—
648C2×D3—121no—
649C2×D3—121no—
650C3×C4—23no—
651C3×C4—23no—
652C3×C4—26no—
653C3×C4—32no—
654C3×C4—43no—
655C3×C4—63no—
656C3×C4—63no—
657C3×C4—63no—
658C3×C4—63no—
659C3×C4—61no—
660C3×C4—61no—
661C3×C4C2×#23516yes—
662C3×C4C2×#23716yes—
663Dic3—23no—
664Dic3—21no—
665Dic3—21no—
666Dic3—23no—
667Dic3—23no—
668Dic3—23no—
669Dic3—62no—
670Dic3—63no—
671Dic3—63no—
672Dic3—63no—
673Dic3—61no—
674Dic3—61no—
675Dic3—63no—
676Dic3—123no—
677Dic3—123no—
678Dic3#100712yes—
679C32#352311yescharacteristic, complemented, Sylow
680C23—31no—
681C23—91no—
682C23C22×D3211yescharacteristic
683Q8—26no—
684Q8—66no—
685Q8—186no—
686Q8—186no—
687Q8#380414yes—
688D4—62no—
689D4—182no—
690D4—182no—
691C2×C4—26no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—33no—
696C2×C4—33no—
697C2×C4—33no—
698C2×C4—33no—
699C2×C4—62no—
700C2×C4—66no—
701C2×C4—66no—
702C2×C4—93no—
703C2×C4—91no—
704C2×C4—93no—
705C2×C4—186no—
706C2×C4C22×D3213yes—
707C2×C4C22×D3213yes—
708C2×C3—22no—
709C2×C3—22no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—42no—
714C2×C3—121no—
715C2×C3C22×#23511yescharacteristic
716C2×C3C22×#23711yescharacteristic
717C2×C3C2×#100711yescharacteristic
718C2×C3C2×#100711yescharacteristic
719C2×C3C2×#101011yescharacteristic
720C2×C3D3×2−1+411yescharacteristic
721D3—41no—
722D3—122no—
723D3—121no—
724D3—121no—
725C22—21no—
726C22—21no—
727C22—61no—
728C22—61no—
729C22—61no—
730C22—181no—
731C22—181no—
732C22—181no—
733C22#6431512yes—
734C22C23×D3211yescharacteristic
735C4—23no—
736C4—32no—
737C4—63no—
738C4—63no—
739C4—61no—
740C4—61no—
741C4—63no—
742C4—63no—
743C4—181no—
744C4—183no—
745C4—183no—
746C4C2×#380416yes—
747C3—21no—
748C3#8580411yescharacteristic, complemented
749C3#8675211yescharacteristic, complemented
750C2—22no—
751C2—121no—
752C2—361no—
753C2C2×#6431511yescharacteristic
754C2D3×#100711yescharacteristic
755C2C22×#380411yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC22×C32×Q8C22
prime radical#63978C22
hypercenterC22×Q8D32
hypocenterC32#3523
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. Q8×#638C2semidirect
2. C3×Q8×#67C2semidirect
3. C2×C3×Q8×Dic3C2semidirect
4. #10595422C2semidirect
5. #10595420C2semidirect
6. #10595411C2semidirect
7. Q8×#626C2semidirect
8. #10595354C2semidirect
9. #10595348C2semidirect
10. #10595347C2semidirect
11. #10595339C2semidirect
12. #10594849C2semidirect
14. #10594825C2semidirect
15. #10594808C2semidirect
74. Q8×#67D3semidirect
76. C2×Q8×Dic3D3semidirect
679. C32#3523semidirect
748. C3#85804semidirect
749. C3#86752semidirect

Maximal subgroups

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

subgroupindex
Q8×#6382
C3×Q8×#672
C2×C3×Q8×Dic32
#105954222
#105954202
#105954112
Q8×#6262
#105953542
#105953482
#105953472
#105953392
#105948492
#105948392
#105948252
#105948082
#867523
#858043