Finite Group Databasebeta

← #11909886

Subgroups — #11909886

Order 1152.

2117 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596283C211yesmaximal, characteristic, complemented
2C3×Q8×#67C211yesmaximal, characteristic, complemented
3C3×Q8×#67C211yesmaximal, characteristic, complemented
4#10595422C211yesmaximal, characteristic, complemented
5Q8×#625C211yesmaximal, characteristic, complemented
6#10595380C213yesmaximal, complemented
7#10595368C213yesmaximal, complemented
8D3×Q8×Dic3C211yesmaximal, characteristic, complemented
9#10595349C213yesmaximal, complemented
10#10595347C211yesmaximal, characteristic, complemented
11#10595338C213yesmaximal, complemented
12#10594942C213yesmaximal, complemented
13#10594934C213yesmaximal
14#10594841C213yesmaximal, complemented
15#10594826C213yesmaximal, complemented
16#86753—31nomaximal
17#86752—31nomaximal
18C22×C32×Q8C2211yescharacteristic
19C2×C3×D3×Q8C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21Q8×C3⋊Dic3C2213yes—
22Q8×C3⋊Dic3C2211yescharacteristic
23Q8×C3⋊Dic3C2213yes—
24Q8×C3⋊Dic3C2211yescharacteristic
25#64135C2213yes—
26#64135C2213yes—
27C3×#946C2213yes—
28C3×#946C2213yes—
29C3×Q8×Dic3C2211yescharacteristic
30C3×Q8×Dic3C2211yescharacteristic
31C3×#944C2213yes—
32C3×#944C2213yes—
33C3×C4×#67C2213yes—
34C3×C4×#67C2213yes—
35C3×#924C2213yes—
36C3×#924C2213yes—
37#63970C2211yescharacteristic
38#63969C2213yes—
39#63959C2213yes—
40#63956C2213yes—
41#63956C2216yes—
42#63918C2213yes—
43C4×#627C2213yes—
44C4×#625C2213yes—
45#63893C2213yes—
46#63891C2213yes—
47D3×C4⋊Dic3C2213yes—
48#63878C2216yes—
49C4×D3×Dic3C2213yes—
50#63873C2213yes—
51#63872C2213yes—
52#63870C2216yes—
53#63869C2213yes—
54#63862C2216yes—
55#63861C2213yes—
56#63856C2213yes—
57#63856C2213yes—
58#63855C2213yes—
59#63845C2216yes—
60#63845C2216yes—
61#63845C2213yes—
62#63843C2213yes—
63#63843C2213yes—
64Dic3×Dic6C2213yes—
65Dic3×Dic6C2213yes—
66#63841C2213yes—
67#63838C2216yes—
68C3×D4×Q8—31no—
69C3×D4×Q8—31no—
70Q8×#67—31no—
71Q8×#67—31no—
72Q8×#67D311yescharacteristic, complemented
73Q8×#67D311yescharacteristic, complemented
74#5812—31no—
75#5812—31no—
76#5812—31no—
77#5812—61no—
78C2×Q8×Dic3—31no—
79#5731—33no—
80#5728—33no—
81#5721—33no—
82#5721—33no—
83#5642—33no—
84#5641—33no—
85#5639—33no—
86#5639—33no—
87#5625—33no—
88#5625—33no—
89#5625—33no—
90#5622—33no—
91#5572—31no—
92C4×D3×Q8—31no—
93#5570—31no—
94#5569—31no—
95#5557—33no—
96#5542—33no—
97#5541—33no—
98#5538—33no—
99C2×C32×Q8—24no—
100C2×C32×Q8C2313yes—
101C2×C32×Q8C2311yescharacteristic
102C22×C32×C4C2313yes—
103C2×C3×#67C2311yescharacteristic
104C2×C3×#67C2311yescharacteristic
105C3×D3×Q8—24no—
106C3×D3×Q8—24no—
107C2×C3×C4×D3C2313yes—
108C2×C3×C4×D3C2313yes—
109C2×C3×Dic6C2313yes—
110C2×C3×Dic6C2313yes—
111C2×#627C2313yes—
112C2×#625C2311yescharacteristic
113C2×D3×Dic3C2311yescharacteristic
114C2×D3×Dic3C2313yes—
115#3757C2311yescharacteristic
116#3757C2313yes—
117C4⋊(C3⋊Dic3)C2313yes—
118C4⋊(C3⋊Dic3)C2313yes—
119C4⋊(C3⋊Dic3)C2313yes—
120C4⋊(C3⋊Dic3)C2313yes—
121C4×C3⋊Dic3C2316yes—
122C4×C3⋊Dic3C2313yes—
123C4×C3⋊Dic3C2313yes—
124C3×#217C2313yes—
125C3×#217C2313yes—
126C3×(C2×D3)⋊C4C2313yes—
127C3×(C2×D3)⋊C4C2313yes—
128C3×C4⋊Dic3C2313yes—
129C3×C4⋊Dic3C2313yes—
130C3×Dic3⋊C4C2316yes—
131C3×Dic3⋊C4C2316yes—
132C3×Dic3⋊C4C2313yes—
133C3×Dic3⋊C4C2313yes—
134C3×C4×Dic3C2313yes—
135C3×C4×Dic3C2313yes—
136#3724C2316yes—
137#3724C2313yes—
138#3724C2313yes—
139Dic3⋊Dic3C2313yes—
140Dic3⋊Dic3C2316yes—
141Dic3⋊Dic3C2313yes—
142Dic3⋊Dic3C2311yescharacteristic
143Dic3⋊Dic3C2313yes—
144Dic3⋊Dic3C2316yes—
145(C2×D3)⋊Dic3C2313yes—
146(C2×D3)⋊Dic3C2311yescharacteristic
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149Dic32C2313yes—
150Dic32C2316yes—
151Dic32C2313yes—
152#3523—91noSylow
153C22×C3×Q8—21no—
154C22×C3×Q8—31no—
155C22×C3×Q8—31no—
156C22×C3×Q8C2×D311yescharacteristic
157C22×C3×Q8C2×D311yescharacteristic
158C2×D3×Q8C2×D311yescharacteristic
159C2×D3×Q8C2×D311yescharacteristic
160C3×C4⋊Q8—33no—
161C3×C4⋊Q8—33no—
162C3×C22⋊Q8—33no—
163C3×C22⋊Q8—33no—
164C3×C22⋊Q8—33no—
165C3×C22⋊Q8—33no—
166C3×C4×Q8—31no—
167C3×C4×Q8—31no—
168C3×C4×D4—33no—
169C3×C4×D4—33no—
170#946—33no—
171#946—33no—
172#946C2×D313yes—
173#946C2×D313yes—
174Q8×Dic3—33no—
175Q8×Dic3—33no—
176Q8×Dic3—33no—
177Q8×Dic3—33no—
178Q8×Dic3—31no—
179Q8×Dic3—31no—
180Q8×Dic3—31no—
181Q8×Dic3—31no—
182Q8×Dic3—33no—
183Q8×Dic3—33no—
184Q8×Dic3—33no—
185Q8×Dic3—33no—
186Q8×Dic3—61no—
187Q8×Dic3—63no—
188Q8×Dic3—61no—
189Q8×Dic3—63no—
190Q8×Dic3C2×D311yescharacteristic
191Q8×Dic3C2×D311yescharacteristic
192#944—33no—
193#944—33no—
194#944C2×D313yes—
195#944C2×D313yes—
196#939—31no—
197#938—31no—
198#936—33no—
199#935—33no—
200C4×#67—33no—
201C4×#67—33no—
202C4×#67C2×D313yes—
203C4×#67C2×D313yes—
204#926—33no—
205#926—33no—
206#926—33no—
207#926—33no—
208#926—33no—
209#926—33no—
210#926—63no—
211#926—63no—
212C2×C4⋊Dic3—33no—
213#924—33no—
214#924—33no—
215#924C2×D313yes—
216#924C2×D313yes—
217C2×C4×Dic3—33no—
218#898—36no—
219#898—33no—
220#897—33no—
221#892—33no—
222#892—36no—
223D3×C4⋊C4—33no—
224#890—33no—
225#890—33no—
226#890—36no—
227#890—33no—
228#890—36no—
229#890—33no—
230#889—36no—
231#889—36no—
232#889—33no—
233#889—36no—
234#889—36no—
235#888—33no—
236#887—33no—
237#887—33no—
238#887—36no—
239#887—36no—
240#886—33no—
241#885—33no—
242#883—33no—
243#883—33no—
244#879—36no—
245#879—36no—
246#879—33no—
247#879—33no—
248#879—36no—
249#879—33no—
250#878—33no—
251#877—36no—
252#872—33no—
253C42×D3—33no—
254#870—33no—
255#869—33no—
256C4×Dic6—33no—
257C4×Dic6—33no—
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—
268C2×C3⋊Dic3C2411yescharacteristic
269C2×C3⋊Dic3C2413yes—
270C2×C3⋊Dic3C2413yes—
271C2×C3⋊Dic3C2411yescharacteristic
272C3×#67—22no—
273C3×#67—22no—
274C2×C3×Dic3C2413yes—
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2413yes—
277C2×C3×Dic3C2413yes—
278C2×C3×Dic3C2411yescharacteristic
279C2×C3×Dic3C2411yescharacteristic
280C3×C4×D3—26no—
281C3×C4×D3—26no—
282C3×Dic6—26no—
283C3×Dic6—26no—
284#627—26no—
285#625—22no—
286D3×Dic3—26no—
287D3×Dic3—22no—
288#557—91no—
289#557—93no—
290#556—93no—
291#552—93no—
292#552—93no—
293D4×Q8—31no—
294D4×Q8—31no—
295D4×Q8—91no—
296#541—93no—
297#541—93no—
298#533—93no—
299#529—93no—
300#519—91no—
301#519—91no—
302C2×C4×Q8—91no—
303C2×C3×Q8—28no—
304C2×C3×Q8—24no—
305C2×C3×Q8—24no—
306C2×C3×Q8—23no—
307C2×C3×Q8—21no—
308C2×C3×Q8—33no—
309C2×C3×Q8—33no—
310C2×C3×Q8—64no—
311C2×C3×Q8—64no—
312C2×C3×Q8C22×D313yes—
313C2×C3×Q8C22×D313yes—
314C2×C3×Q8C22×D311yescharacteristic
315C2×C3×Q8C22×D311yescharacteristic
316C2×C3×D4—31no—
317C2×C3×D4—31no—
318C22×C3×C4—23no—
319C22×C3×C4—33no—
320C22×C3×C4—33no—
321C22×C3×C4C22×D313yes—
322C22×C3×C4C22×D313yes—
323C2×#67—31no—
324C2×#67—31no—
325C2×#67C22×D311yescharacteristic
326C2×#67C22×D311yescharacteristic
327C22×Dic3—33no—
328C22×Dic3—31no—
329D3×Q8—24no—
330D3×Q8—24no—
331C2×C4×D3—31no—
332C2×C4×D3—33no—
333C2×C4×D3C22×D313yes—
334C2×C4×D3C22×D313yes—
335C2×Dic6—33no—
336C2×Dic6—33no—
337C2×Dic6C22×D313yes—
338C2×Dic6C22×D313yes—
339C3×C4⋊C4—33no—
340C3×C4⋊C4—33no—
341C3×C4⋊C4—36no—
342C3×C4⋊C4—33no—
343C3×C4⋊C4—33no—
344C3×C4⋊C4—36no—
345C3×C22⋊C4—33no—
346C3×C22⋊C4—33no—
347C3×C22⋊C4—33no—
348C3×C22⋊C4—33no—
349C3×C42—33no—
350C3×C42—33no—
351#217—31no—
352#217—31no—
353#217—33no—
354#217—33no—
355#217—33no—
356#217—33no—
357#217—31no—
358#217—33no—
359#217—61no—
360#217—63no—
361#217C22×D313yes—
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)⋊C4C22×D313yes—
368(C2×D3)⋊C4C22×D313yes—
369C4⋊Dic3—33no—
370C4⋊Dic3—33no—
371C4⋊Dic3—33no—
372C4⋊Dic3—33no—
373C4⋊Dic3—33no—
374C4⋊Dic3—33no—
375C4⋊Dic3—33no—
376C4⋊Dic3—33no—
377C4⋊Dic3—31no—
378C4⋊Dic3—33no—
379C4⋊Dic3—36no—
380C4⋊Dic3—36no—
381C4⋊Dic3—33no—
382C4⋊Dic3—33no—
383C4⋊Dic3—63no—
384C4⋊Dic3—63no—
385C4⋊Dic3—63no—
386C4⋊Dic3—63no—
387C4⋊Dic3C22×D313yes—
388C4⋊Dic3C22×D313yes—
389Dic3⋊C4—31no—
390Dic3⋊C4—33no—
391Dic3⋊C4—33no—
392Dic3⋊C4—36no—
393Dic3⋊C4—33no—
394Dic3⋊C4—33no—
395Dic3⋊C4—36no—
396Dic3⋊C4—33no—
397Dic3⋊C4—36no—
398Dic3⋊C4—36no—
399Dic3⋊C4—33no—
400Dic3⋊C4—33no—
401Dic3⋊C4C22×D316yes—
402Dic3⋊C4C22×D313yes—
403Dic3⋊C4C22×D316yes—
404Dic3⋊C4C22×D313yes—
405C4×Dic3—33no—
406C4×Dic3—33no—
407C4×Dic3—33no—
408C4×Dic3—33no—
409C4×Dic3—36no—
410C4×Dic3—36no—
411C4×Dic3—33no—
412C4×Dic3—36no—
413C4×Dic3—33no—
414C4×Dic3—36no—
415C4×Dic3—33no—
416C4×Dic3—33no—
417C4×Dic3—63no—
418C4×Dic3—66no—
419C4×Dic3—63no—
420C4×Dic3C22×D313yes—
421C4×Dic3C22×D313yes—
422C22×C32—21no—
423C22×C32—21no—
424C22×C32—21no—
425C22×C32C2511yescharacteristic
426C2×C3×D3—21no—
427C2×C3×D3—21no—
428C2×C3×D3—21no—
429C2×C3×D3—21no—
430C2×C3×D3—21no—
431C2×C3×D32−1+412yes—
432C32×C4—23no—
433C32×C4C2×#4116yes—
434C3⋊Dic3—23no—
435C3⋊Dic3—21no—
436C3⋊Dic3—21no—
437C3⋊Dic3—23no—
438C3×Dic3—23no—
439C3×Dic3—23no—
440C3×Dic3—23no—
441C3×Dic3—23no—
442C3×Dic3—21no—
443C3×Dic32−1+412yes—
444C22×Q8—31no—
445C22×Q8—31no—
446C22×Q8D3211yescharacteristic
447C4⋊Q8—33no—
448C4⋊Q8—33no—
449C4⋊Q8—93no—
450C4⋊Q8—93no—
451#126—93no—
452#126—96no—
453#126—93no—
454#126—96no—
455#125—93no—
456#125—93no—
457#125—96no—
458#125—96no—
459#125—96no—
460#125—93no—
461#124—93no—
462#123—93no—
463#123—93no—
464C22⋊Q8—33no—
465C22⋊Q8—33no—
466C22⋊Q8—33no—
467C22⋊Q8—33no—
468C22⋊Q8—93no—
469C22⋊Q8—93no—
470C22⋊Q8—93no—
471#121—91no—
472C4×Q8—31no—
473C4×Q8—31no—
474C4×Q8—93no—
475C4×Q8—93no—
476C4×Q8—93no—
477C4×Q8—96no—
478C4×Q8—93no—
479C4×Q8—93no—
480C4×Q8—91no—
481C4×Q8—93no—
482C4×Q8—91no—
483C4×Q8—93no—
484C4×D4—33no—
485C4×D4—33no—
486C4×D4—93no—
487#117—93no—
488#117—96no—
489#117—93no—
490#117—93no—
491#117—93no—
492C2×C4⋊C4—93no—
493C2×C42—93no—
494C23×C3—21no—
495C23×C3—31no—
496C23×C3—31no—
497C23×C3C23×D311yescharacteristic
498C23×C3C23×D311yescharacteristic
499C22×D3C23×D311yescharacteristic
500C22×D3C23×D311yescharacteristic
501C3×Q8—212no—
502C3×Q8—26no—
503C3×Q8—26no—
504C3×Q8—24no—
505C3×Q8—66no—
506C3×Q8—66no—
507C3×Q8#23714yes—
508C3×Q8#23714yes—
509C3×D4—62no—
510C3×D4—62no—
511C2×C3×C4—212no—
512C2×C3×C4—26no—
513C2×C3×C4—26no—
514C2×C3×C4—23no—
515C2×C3×C4—23no—
516C2×C3×C4—31no—
517C2×C3×C4—33no—
518C2×C3×C4—33no—
519C2×C3×C4—33no—
520C2×C3×C4—33no—
521C2×C3×C4—31no—
522C2×C3×C4—66no—
523C2×C3×C4—66no—
524C2×C3×C4C23×D313yes—
525C2×C3×C4C23×D313yes—
526C2×C3×C4C23×D313yes—
527C2×C3×C4C23×D313yes—
528#67—22no—
529#67—22no—
530#67—62no—
531#67—62no—
532C2×Dic3—31no—
533C2×Dic3—33no—
534C2×Dic3—33no—
535C2×Dic3—31no—
536C2×Dic3—31no—
537C2×Dic3—33no—
538C2×Dic3—31no—
539C2×Dic3—33no—
540C2×Dic3—63no—
541C2×Dic3—61no—
542C2×Dic3—63no—
543C2×Dic3—61no—
544C2×Dic3—66no—
545C2×Dic3—62no—
546C2×Dic3C23×D313yes—
547C2×Dic3C23×D313yes—
548C2×Dic3C23×D313yes—
549C2×Dic3C23×D313yes—
550C2×Dic3C23×D311yescharacteristic
551C2×Dic3C23×D311yescharacteristic
552C4×D3—26no—
553C4×D3—26no—
554C4×D3—62no—
555C4×D3—66no—
556Dic6—26no—
557Dic6—26no—
558Dic6—66no—
559Dic6—66no—
560C2×C32—41no—
561C2×C32C22×#4111yescharacteristic
562C2×C32C2×2−1+411yescharacteristic
563C2×C32C2×2−1+411yescharacteristic
564C3×D3—22no—
565C3×D3—41no—
566C2×Q8—24no—
567C2×Q8—33no—
568C2×Q8—33no—
569C2×Q8—64no—
570C2×Q8—64no—
571C2×Q8—93no—
572C2×Q8C2×D3213yes—
573C2×Q8C2×D3211yescharacteristic
574C2×D4—31no—
575C2×D4—31no—
576C2×D4—91no—
577C22×C4—33no—
578C22×C4—33no—
579C22×C4—91no—
580C22×C4—93no—
581C22×C4C2×D3213yes—
582C4⋊C4—33no—
583C4⋊C4—33no—
584C4⋊C4—36no—
585C4⋊C4—33no—
586C4⋊C4—33no—
587C4⋊C4—36no—
588C4⋊C4—96no—
589C4⋊C4—93no—
590C4⋊C4—93no—
591C4⋊C4—96no—
592C4⋊C4—93no—
593C4⋊C4—91no—
594C4⋊C4—96no—
595C4⋊C4—93no—
596C4⋊C4—93no—
597C4⋊C4—93no—
598C4⋊C4—93no—
599C4⋊C4—93no—
600C4⋊C4—93no—
601C22⋊C4—33no—
602C22⋊C4—33no—
603C22⋊C4—33no—
604C22⋊C4—33no—
605C22⋊C4—91no—
606C22⋊C4—93no—
607C22⋊C4—93no—
608C22⋊C4—93no—
609C22⋊C4—91no—
610C22⋊C4—93no—
611C42—33no—
612C42—33no—
613C42—93no—
614C42—93no—
615C42—96no—
616C42—93no—
617C42—96no—
618C42—93no—
619C22×C3—22no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—21no—
624C22×C3—21no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—32no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3—61no—
631C22×C3—61no—
632C22×C3—61no—
633C22×C3—61no—
634C22×C3—61no—
635C22×C3C24×D311yescharacteristic
636C22×C3C24×D311yescharacteristic
637C2×D3—21no—
638C2×D3—21no—
639C2×D3—21no—
640C2×D3—21no—
641C2×D3—21no—
642C2×D3#100712yes—
643C3×C4—26no—
644C3×C4—23no—
645C3×C4—23no—
646C3×C4—26no—
647C3×C4—32no—
648C3×C4—63no—
649C3×C4—63no—
650C3×C4—63no—
651C3×C4—63no—
652C3×C4—61no—
653C3×C4C2×#23716yes—
654C3×C4C2×#23716yes—
655Dic3—23no—
656Dic3—23no—
657Dic3—21no—
658Dic3—23no—
659Dic3—23no—
660Dic3—63no—
661Dic3—63no—
662Dic3—61no—
663Dic3—61no—
664Dic3—63no—
665Dic3—61no—
666Dic3—63no—
667Dic3—61no—
668Dic3—121no—
669Dic3—123no—
670Dic3—121no—
671Dic3—123no—
672Dic3#100712yes—
673C32#352311yescharacteristic, complemented, Sylow
674C23—31no—
675C23—31no—
676C23C22×D3211yescharacteristic
677Q8—26no—
678Q8—66no—
679Q8—66no—
680Q8—186no—
681Q8#380514yes—
682D4—62no—
683D4—62no—
684D4—182no—
685C2×C4—26no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—33no—
689C2×C4—33no—
690C2×C4—33no—
691C2×C4—33no—
692C2×C4—66no—
693C2×C4—66no—
694C2×C4—93no—
695C2×C4—91no—
696C2×C4—93no—
697C2×C4—91no—
698C2×C4—182no—
699C2×C4—186no—
700C2×C4C22×D3213yes—
701C2×C4C22×D3213yes—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—42no—
706C2×C3—41no—
707C2×C3—41no—
708C2×C3—62no—
709C2×C3—121no—
710C2×C3C22×#23711yescharacteristic
711C2×C3C22×#23711yescharacteristic
712C2×C3C2×#100711yescharacteristic
713C2×C3C2×#100711yescharacteristic
714C2×C3D3×2−1+411yescharacteristic
715C2×C3D3×2−1+411yescharacteristic
716D3—22no—
717D3—41no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—32no—
722C22—61no—
723C22—61no—
724C22—61no—
725C22—61no—
726C22—61no—
727C22C23×D3211yescharacteristic
728C4—23no—
729C4—32no—
730C4—63no—
731C4—61no—
732C4—63no—
733C4—63no—
734C4—63no—
735C4—181no—
736C4—183no—
737C4—181no—
738C4—183no—
739C4C2×#380516yes—
740C3—21no—
741C3#8675211yescharacteristic, complemented
742C3#8675311yescharacteristic, complemented
743C2—41no—
744C2—62no—
745C2—121no—
746C2D3×#100711yescharacteristic
747C2D3×#100711yescharacteristic
748C2C22×#380511yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC22×C32×Q8C22
prime radical#63970C22
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. #10596283C2semidirect
2. C3×Q8×#67C2semidirect
3. C3×Q8×#67C2semidirect
4. #10595422C2semidirect
5. Q8×#625C2semidirect
6. #10595380C2semidirect
7. #10595368C2semidirect
8. D3×Q8×Dic3C2semidirect
9. #10595349C2semidirect
10. #10595347C2semidirect
11. #10595338C2semidirect
12. #10594942C2semidirect
14. #10594841C2semidirect
15. #10594826C2semidirect
72. Q8×#67D3semidirect
73. Q8×#67D3semidirect
673. C32#3523semidirect
741. C3#86752semidirect
742. C3#86753semidirect

Maximal subgroups

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

subgroupindex
#105962832
C3×Q8×#672
#105954222
Q8×#6252
#105953802
#105953682
D3×Q8×Dic32
#105953492
#105953472
#105953382
#105949422
#105949342
#105948412
#105948262
#867533
#867523