Finite Group Databasebeta

← #11903795

Subgroups — #11903795

Order 1152.

2236 conjugacy classes of subgroups.

The subgroup lattice has 721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596040C211yesmaximal, characteristic, complemented
2C3×C4×#239C211yesmaximal, characteristic
3C3×#5569C211yesmaximal, characteristic, complemented
4#10595422C211yesmaximal, characteristic, complemented
5Q8×#627C211yesmaximal, characteristic, complemented
6Dic3×#239C211yesmaximal, characteristic
7Dic3×#239C211yesmaximal, characteristic
8#10594477C213yesmaximal, complemented
9#10594452C213yesmaximal, complemented
10#10594445C213yesmaximal, complemented
11#10594376C213yesmaximal, complemented
12#10593941C213yesmaximal, complemented
13#10593929C213yesmaximal, complemented
14C4×D3×Dic6C213yesmaximal, complemented
15#10593874C213yesmaximal, complemented
16#87015—31nomaximal
17#41×Dic6—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×D3×Dic6C2213yes—
20C32×C4×Q8C2211yescharacteristic
21Q8×C3⋊Dic3C2211yescharacteristic
22Q8×C3⋊Dic3C2211yescharacteristic
23#64099C2213yes—
24#64097C2213yes—
25#64079C2213yes—
26C4×#634C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×Q8×Dic3C2211yescharacteristic
30C3×#893C2213yes—
31C3×#892C2213yes—
32C3×#890C2213yes—
33C3×#888C2213yes—
34C3×C4×D12C2213yes—
35C3×C42×D3C2213yes—
36C3×#870C2213yes—
37C3×C4×Dic6C2213yes—
38#63919C2213yes—
39#63918C2213yes—
40#63918C2213yes—
41#63918C2213yes—
42C4×#627C2213yes—
43C4×#627C2213yes—
44#63899C2216yes—
45#63898C2213yes—
46#63898C2213yes—
47#63896C2216yes—
48#63893C2216yes—
49Dic3×D12C2213yes—
50Dic3×D12C2213yes—
51D3×C4⋊Dic3C2213yes—
52#63887C2216yes—
53D3×Dic3⋊C4C2213yes—
54D3×Dic3⋊C4C2213yes—
55C4×D3×Dic3C2213yes—
56C4×D3×Dic3C2213yes—
57#63872C2213yes—
58#63869C2213yes—
59#63851C2216yes—
60#63851C2216yes—
61#63844C2213yes—
62Dic3×Dic6C2213yes—
63#63841C2213yes—
64#63841C2213yes—
65#63837C2213yes—
66#63837C2216yes—
67#63837C2211yescharacteristic
68C3×#557—31no—
69C3×C4×#41—31no—
70Dic3×#41—31no—
71Dic3×#41—31no—
72#5728—33no—
73#5727—33no—
74#5690—33no—
75#5690—33no—
76#5688—33no—
77#5688—33no—
78#5579—33no—
79C4×#239—31no—
80C4×#239—31no—
81C4×#239D311yescharacteristic
82C4×D3×Q8—33no—
83#5570—31no—
84#5569—31no—
85#5569—31no—
86#5569—31no—
87#5569—61no—
88#5569D311yescharacteristic, complemented
89Q8×Dic6—31no—
90Q8×Dic6—31no—
91#5543—33no—
92#5539—33no—
93#5539—33no—
94D4×Dic6—33no—
95#5517—33no—
96#5517—33no—
97#5470—33no—
98C2×C4×Dic6—33no—
99C2×C32×Q8C2311yescharacteristic
100C2×#634C2313yes—
101C3×#239Q818yescomplemented
102C2×C3×D12C2313yes—
103C2×C3×C4×D3C2313yes—
104C2×C3×C4×D3C2313yes—
105C2×C3×C4×D3C2313yes—
106C2×C3×Dic6C2313yes—
107C2×#627C2313yes—
108C2×#627C2316yes—
109C2×#627C2311yescharacteristic
110C2×D3×Dic3C2313yes—
111C2×D3×Dic3C2313yes—
112C2×D3×Dic3C2313yes—
113C2×D3×Dic3C2313yes—
114D3×Dic6—212no—
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)⋊C4C2316yes—
126C3×C4⋊Dic3C2313yes—
127C3×C4⋊Dic3C2313yes—
128C3×C4⋊Dic3C2313yes—
129C3×C4⋊Dic3C2313yes—
130C3×Dic3⋊C4C2316yes—
131C3×Dic3⋊C4C2313yes—
132C3×Dic3⋊C4C2311yescharacteristic
133C3×C4×Dic3C2313yes—
134C3×C4×Dic3C2313yes—
135C3×C4×Dic3C2313yes—
136C3×C4×Dic3C2313yes—
137C3×C4×Dic3C2311yescharacteristic
138#3724C2313yes—
139#3724C2313yes—
140Dic3⋊Dic3C2313yes—
141Dic3⋊Dic3C2316yes—
142Dic3⋊Dic3C2311yescharacteristic
143Dic3⋊Dic3C2313yes—
144Dic3⋊Dic3C2313yes—
145(C2×D3)⋊Dic3C2316yes—
146(C2×D3)⋊Dic3C2316yes—
147Dic32C2313yes—
148Dic32C2313yes—
149Dic32C2311yescharacteristic
150Dic32C2311yescharacteristic
151Q8×#41—91noSylow
152C2×C3×#41—31no—
153C2×#239C2×D311yescharacteristic
154C2×D3×Q8—33no—
155C22×Dic6—33no—
156C3×C4⋊Q8—33no—
157C3×#125—33no—
158C3×#125—33no—
159C3×C4×Q8—21no—
160C3×C4×Q8—31no—
161C3×C4×Q8—31no—
162C3×C4×Q8—31no—
163C3×C4×Q8—33no—
164C3×C4×Q8C2×D311yescharacteristic
165C3×C4×Q8C2×D311yescharacteristic
166C3×C4×D4—33no—
167C3×C4×D4—33no—
168C3×#117—33no—
169C2×C3×C42—33no—
170#946—36no—
171Q8×Dic3—31no—
172Q8×Dic3—31no—
173Q8×Dic3—31no—
174Q8×Dic3—31no—
175Q8×Dic3—33no—
176Q8×Dic3—61no—
177Q8×Dic3—61no—
178Q8×Dic3C2×D311yescharacteristic
179Q8×Dic3C2×D311yescharacteristic
180Q8×Dic3C2×D311yescharacteristic
181D4×Dic3—33no—
182D4×Dic3—33no—
183D4×Dic3—33no—
184D4×Dic3—33no—
185#926—33no—
186#926—33no—
187C2×C4⋊Dic3—33no—
188#924—36no—
189#924—36no—
190C2×Dic3⋊C4—33no—
191C2×Dic3⋊C4—33no—
192C2×C4×Dic3—33no—
193C2×C4×Dic3—33no—
194#897—36no—
195#896—36no—
196#896—36no—
197#896—36no—
198#896—36no—
199#893—33no—
200#893—33no—
201#893C2×D313yes—
202#892—33no—
203#892—33no—
204#892C2×D313yes—
205D3×C4⋊C4—33no—
206D3×C4⋊C4—33no—
207D3×C4⋊C4—33no—
208#890—33no—
209#890—33no—
210#890—33no—
211#890—33no—
212#890—33no—
213#890—63no—
214#890C2×D313yes—
215#888—33no—
216#888—33no—
217#888—33no—
218#888—33no—
219#888—33no—
220#888—33no—
221#888—33no—
222#888—63no—
223#888C2×D313yes—
224#887—36no—
225#887—33no—
226#887—33no—
227#887—31no—
228#878—36no—
229#878—36no—
230#878—36no—
231#878—36no—
232C4×D12—33no—
233C4×D12—33no—
234C4×D12C2×D313yes—
235C42×D3—33no—
236C42×D3—33no—
237C42×D3C2×D313yes—
238#870—33no—
239#870—33no—
240#870—33no—
241#870—63no—
242#870C2×D313yes—
243#869—33no—
244#869—33no—
245#869—33no—
246C4×Dic6—33no—
247C4×Dic6—33no—
248C4×Dic6—33no—
249C4×Dic6—33no—
250C4×Dic6—31no—
251C4×Dic6—33no—
252C4×Dic6—36no—
253C4×Dic6—33no—
254C4×Dic6—33no—
255C4×Dic6—33no—
256C4×Dic6—33no—
257C4×Dic6—63no—
258C4×Dic6C2×D313yes—
259C22×C3×D3C2413yes—
260C32×Q8C2×Q814yescomplemented
261C2×C32×C4C2411yescharacteristic
262C2×C32×C4C2413yes—
263C2×C32×C4C2413yes—
264C2×C3⋊Dic3C2413yes—
265C2×C3⋊Dic3C2413yes—
266C2×C3⋊Dic3C2411yescharacteristic
267C2×C3⋊Dic3C2411yescharacteristic
268#634—26no—
269C2×C3×Dic3C2413yes—
270C2×C3×Dic3C2413yes—
271C2×C3×Dic3C2411yescharacteristic
272C2×C3×Dic3C2413yes—
273C2×C3×Dic3C2411yescharacteristic
274C2×C3×Dic3C2411yescharacteristic
275C2×C3×Dic3C2411yescharacteristic
276C3×D12C2×Q8112yescomplemented
277C3×C4×D3—26no—
278C3×C4×D3—43no—
279C3×C4×D3C2×Q8112yescomplemented
280C3×Dic6—26no—
281#627—26no—
282#627—46no—
283#627#4114yescomplemented
284D3×Dic3—26no—
285D3×Dic3—26no—
286D3×Dic3—43no—
287D3×Dic3—43no—
288Q82—91no—
289#557—31no—
290#557—91no—
291#557—91no—
292#554—93no—
293#554—93no—
294#554—93no—
295D4×Q8—93no—
296#533—93no—
297#533—93no—
298#533—93no—
299C4×#41—31no—
300C4×#41—91no—
301C4×#41—91no—
302C2×C4×Q8—93no—
303C3×#41—38no—
304C2×C3×Q8—21no—
305C2×C3×Q8—33no—
306C2×C3×Q8C22×D311yescharacteristic
307C2×C3×Q8C22×D311yescharacteristic
308C2×C3×D4—33no—
309C22×C3×C4—33no—
310C22×C3×C4—33no—
311C22×C3×C4—33no—
312C22×Dic3—33no—
313C22×Dic3—33no—
314C22×Dic3—33no—
315C22×Dic3—33no—
316#239Dic618yescomplemented
317D3×Q8—612no—
318C2×D12C22×D313yes—
319C2×C4×D3—33no—
320C2×C4×D3—33no—
321C2×C4×D3—33no—
322C2×C4×D3—33no—
323C2×C4×D3C22×D313yes—
324C2×C4×D3C22×D313yes—
325C2×C4×D3C22×D313yes—
326C2×Dic6—31no—
327C2×Dic6—31no—
328C2×Dic6—33no—
329C2×Dic6—33no—
330C2×Dic6—33no—
331C2×Dic6—33no—
332C2×Dic6—36no—
333C2×Dic6—36no—
334C2×Dic6—63no—
335C2×Dic6—612no—
336C2×Dic6C22×D313yes—
337C3×C4⋊C4—23no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—33no—
340C3×C4⋊C4—33no—
341C3×C4⋊C4—36no—
342C3×C4⋊C4—33no—
343C3×C4⋊C4—33no—
344C3×C4⋊C4—33no—
345C3×C4⋊C4C22×D313yes—
346C3×C4⋊C4C22×D313yes—
347C3×C22⋊C4—36no—
348C3×C42—23no—
349C3×C42—31no—
350C3×C42—33no—
351C3×C42—33no—
352C3×C42—33no—
353C3×C42—33no—
354C3×C42C22×D313yes—
355C3×C42C22×D313yes—
356#217—36no—
357#217—36no—
358(C2×D3)⋊C4—36no—
359(C2×D3)⋊C4—36no—
360(C2×D3)⋊C4C22×D316yes—
361C4⋊Dic3—33no—
362C4⋊Dic3—33no—
363C4⋊Dic3—33no—
364C4⋊Dic3—33no—
365C4⋊Dic3—33no—
366C4⋊Dic3—33no—
367C4⋊Dic3—31no—
368C4⋊Dic3—33no—
369C4⋊Dic3—33no—
370C4⋊Dic3—36no—
371C4⋊Dic3—33no—
372C4⋊Dic3—63no—
373C4⋊Dic3—63no—
374C4⋊Dic3—63no—
375C4⋊Dic3C22×D313yes—
376C4⋊Dic3C22×D313yes—
377C4⋊Dic3C22×D313yes—
378C4⋊Dic3C22×D313yes—
379Dic3⋊C4—31no—
380Dic3⋊C4—31no—
381Dic3⋊C4—33no—
382Dic3⋊C4—33no—
383Dic3⋊C4—36no—
384Dic3⋊C4—36no—
385Dic3⋊C4—31no—
386Dic3⋊C4—33no—
387Dic3⋊C4—33no—
388Dic3⋊C4—33no—
389Dic3⋊C4—33no—
390Dic3⋊C4—33no—
391Dic3⋊C4—33no—
392Dic3⋊C4—33no—
393Dic3⋊C4—36no—
394Dic3⋊C4—61no—
395Dic3⋊C4—63no—
396Dic3⋊C4—66no—
397Dic3⋊C4C22×D311yescharacteristic
398Dic3⋊C4C22×D313yes—
399Dic3⋊C4C22×D316yes—
400C4×Dic3—33no—
401C4×Dic3—33no—
402C4×Dic3—33no—
403C4×Dic3—33no—
404C4×Dic3—31no—
405C4×Dic3—31no—
406C4×Dic3—33no—
407C4×Dic3—33no—
408C4×Dic3—31no—
409C4×Dic3—31no—
410C4×Dic3—33no—
411C4×Dic3—33no—
412C4×Dic3—63no—
413C4×Dic3—63no—
414C4×Dic3C22×D313yes—
415C4×Dic3C22×D313yes—
416C4×Dic3C22×D313yes—
417C4×Dic3C22×D311yescharacteristic
418C4×Dic3C22×D313yes—
419C22×C32C2511yescharacteristic
420C2×C3×D3—23no—
421C2×C3×D3—23no—
422C2×C3×D3C22×Q816yes—
423C32×C4—23no—
424C32×C4—21no—
425C32×C4C22×Q816yes—
426C3⋊Dic3—23no—
427C3⋊Dic3—21no—
428C3⋊Dic3—23no—
429C3⋊Dic3C2×#4112yes—
430C3×Dic3—23no—
431C3×Dic3—21no—
432C3×Dic3—23no—
433C3×Dic3—23no—
434C3×Dic3C22×Q812yes—
435C3×Dic3C2×#4112yes—
436C3×Dic3C2×#4112yes—
437C2×#41—31no—
438C22×Q8—93no—
439C4⋊Q8—33no—
440C4⋊Q8—93no—
441C4⋊Q8—93no—
442C4⋊Q8—93no—
443C4⋊Q8—93no—
444C4⋊Q8—93no—
445#125—33no—
446#125—33no—
447#125—93no—
448#125—93no—
449#125—93no—
450#125—93no—
451C22⋊Q8—96no—
452C22⋊Q8—96no—
453C22⋊Q8—96no—
454C22⋊Q8—96no—
455C22⋊Q8—96no—
456C22⋊Q8—96no—
457C4×Q8—31no—
458C4×Q8—31no—
459C4×Q8—31no—
460C4×Q8—33no—
461C4×Q8—93no—
462C4×Q8—93no—
463C4×Q8—91no—
464C4×Q8—93no—
465C4×Q8—93no—
466C4×Q8—96no—
467C4×Q8—93no—
468C4×Q8—91no—
469C4×Q8—91no—
470C4×Q8—93no—
471C4×Q8D3211yescharacteristic
472C4×D4—33no—
473C4×D4—33no—
474C4×D4—93no—
475C4×D4—93no—
476C4×D4—93no—
477C4×D4—93no—
478#117—33no—
479#117—93no—
480#117—93no—
481C2×C4⋊C4—93no—
482C2×C4⋊C4—93no—
483C2×C4⋊C4—93no—
484C2×C42—33no—
485C2×C42—93no—
486C2×C42—93no—
487C23×C3—33no—
488C22×D3C23×D313yes—
489C3×Q8—24no—
490C3×Q8—66no—
491C3×Q8C2×Dic614yescomplemented
492C3×Q8D3×Q814yescomplemented
493C3×D4—312no—
494C2×C3×C4—23no—
495C2×C3×C4—21no—
496C2×C3×C4—23no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—312no—
501C2×C3×C4—31no—
502C2×C3×C4—33no—
503C2×C3×C4—33no—
504C2×C3×C4—33no—
505C2×C3×C4—66no—
506C2×C3×C4—123no—
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D313yes—
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D313yes—
511C2×C3×C4C23×D313yes—
512C2×C3×C4C23×D313yes—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—33no—
518C2×Dic3—33no—
519C2×Dic3—33no—
520C2×Dic3—33no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—63no—
524C2×Dic3—63no—
525C2×Dic3—66no—
526C2×Dic3—66no—
527C2×Dic3—123no—
528C2×Dic3—123no—
529C2×Dic3C23×D311yescharacteristic
530C2×Dic3C23×D313yes—
531C2×Dic3C23×D313yes—
532C2×Dic3C23×D313yes—
533C2×Dic3C23×D311yescharacteristic
534C2×Dic3C23×D311yescharacteristic
535C2×Dic3C23×D311yescharacteristic
536D12C2×Dic6112yescomplemented
537C4×D3—26no—
538C4×D3—43no—
539C4×D3—66no—
540C4×D3—66no—
541C4×D3—123no—
542C4×D3—123no—
543C4×D3C2×Dic6112yescomplemented
544Dic6—26no—
545Dic6—34no—
546Dic6—34no—
547Dic6—66no—
548Dic6—66no—
549Dic6—66no—
550Dic6—66no—
551Dic6—126no—
552Dic6—126no—
553Dic6—126no—
554C2×C32C23×Q811yescharacteristic
555C2×C32C22×#4111yescharacteristic
556C2×C32#58511yescharacteristic
557C3×D3—26no—
558#41—38no—
559C2×Q8—33no—
560C2×Q8—91no—
561C2×Q8—93no—
562C2×Q8—96no—
563C2×Q8—93no—
564C2×Q8—1812no—
565C2×Q8C2×D3211yescharacteristic
566C2×D4—33no—
567C22×C4—33no—
568C22×C4—33no—
569C22×C4—33no—
570C22×C4—93no—
571C22×C4—93no—
572C22×C4—93no—
573C22×C4—93no—
574C4⋊C4—31no—
575C4⋊C4—33no—
576C4⋊C4—33no—
577C4⋊C4—33no—
578C4⋊C4—33no—
579C4⋊C4—33no—
580C4⋊C4—36no—
581C4⋊C4—91no—
582C4⋊C4—93no—
583C4⋊C4—93no—
584C4⋊C4—93no—
585C4⋊C4—93no—
586C4⋊C4—93no—
587C4⋊C4—96no—
588C4⋊C4—91no—
589C4⋊C4—93no—
590C4⋊C4—93no—
591C4⋊C4—93no—
592C4⋊C4—93no—
593C4⋊C4—96no—
594C4⋊C4C2×D3213yes—
595C22⋊C4—36no—
596C22⋊C4—96no—
597C22⋊C4—96no—
598C42—31no—
599C42—33no—
600C42—33no—
601C42—33no—
602C42—33no—
603C42—91no—
604C42—91no—
605C42—93no—
606C42—93no—
607C42—93no—
608C42—93no—
609C42C2×D3213yes—
610C22×C3—21no—
611C22×C3—36no—
612C22×C3—63no—
613C22×C3—63no—
614C22×C3C24×D311yescharacteristic
615C22×C3C24×D311yescharacteristic
616C2×D3—23no—
617C2×D3—23no—
618C2×D3C22×Dic616yes—
619C3×C4—23no—
620C3×C4—23no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—26no—
624C3×C4—32no—
625C3×C4—32no—
626C3×C4—32no—
627C3×C4—43no—
628C3×C4—41no—
629C3×C4—63no—
630C3×C4—63no—
631C3×C4—61no—
632C3×C4—63no—
633C3×C4C22×Dic616yes—
634C3×C4C2×D3×Q816yes—
635Dic3—23no—
636Dic3—23no—
637Dic3—23no—
638Dic3—21no—
639Dic3—32no—
640Dic3—32no—
641Dic3—62no—
642Dic3—63no—
643Dic3—63no—
644Dic3—63no—
645Dic3—61no—
646Dic3—63no—
647Dic3—61no—
648Dic3—123no—
649Dic3—121no—
650Dic3—123no—
651Dic3C22×Dic612yes—
652Dic3D3×#4112yes—
653Dic3D3×#4112yes—
654C32Q8×#4111yescharacteristic, complemented, Sylow
655C23—33no—
656Q8—66no—
657Q8—94no—
658Q8—186no—
659Q8—186no—
660Q8—366no—
661Q8D3×Dic614yescomplemented
662D4—312no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—312no—
667C2×C4—31no—
668C2×C4—33no—
669C2×C4—33no—
670C2×C4—33no—
671C2×C4—66no—
672C2×C4—91no—
673C2×C4—91no—
674C2×C4—93no—
675C2×C4—93no—
676C2×C4—123no—
677C2×C4—186no—
678C2×C4—186no—
679C2×C4—363no—
680C2×C4—363no—
681C2×C4C22×D3211yescharacteristic
682C2×C4C22×D3213yes—
683C2×C4C22×D3213yes—
684C2×C3—21no—
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—66no—
688C2×C3C23×Dic611yescharacteristic
689C2×C3C22×D3×Q811yescharacteristic
690C2×C3C2×D3×#4111yescharacteristic
691C2×C3C2×D3×#4111yescharacteristic
692C2×C3#596411yescharacteristic
693C2×C3#596811yescharacteristic
694D3—26no—
695C22—36no—
696C22—63no—
697C22—63no—
698C22C23×D3211yescharacteristic
699C4—21no—
700C4—23no—
701C4—32no—
702C4—32no—
703C4—32no—
704C4—63no—
705C4—61no—
706C4—63no—
707C4—63no—
708C4—92no—
709C4—181no—
710C4—183no—
711C4—183no—
712C4C2×D3×Dic616yes—
713C3—21no—
714C3#41×Dic611yescharacteristic, complemented
715C3#8701511yescharacteristic, complemented
716C2—66no—
717C2C22×D3×Dic611yescharacteristic
718C2#1059668811yescharacteristic
719C2D32×#4111yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
prime radicalC2×C3×#239C22
hypercenterC4×Q8D32
hypocenterC32Q8×#41
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. #10596040C2semidirect
3. C3×#5569C2semidirect
4. #10595422C2semidirect
5. Q8×#627C2semidirect
8. #10594477C2semidirect
9. #10594452C2semidirect
10. #10594445C2semidirect
11. #10594376C2semidirect
12. #10593941C2semidirect
13. #10593929C2semidirect
14. C4×D3×Dic6C2semidirect
15. #10593874C2semidirect
88. #5569D3semidirect
101. C3×#239Q8semidirect
260. C32×Q8C2×Q8semidirect
276. C3×D12C2×Q8semidirect
279. C3×C4×D3C2×Q8semidirect
283. #627#41semidirect
316. #239Dic6semidirect
491. C3×Q8C2×Dic6semidirect
492. C3×Q8D3×Q8semidirect
536. D12C2×Dic6semidirect
543. C4×D3C2×Dic6semidirect
654. C32Q8×#41semidirect
661. Q8D3×Dic6semidirect
714. C3#41×Dic6semidirect
715. C3#87015semidirect

Maximal subgroups

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

subgroupindex
#105960402
C3×C4×#2392
C3×#55692
#105954222
Q8×#6272
Dic3×#2392
#105944772
#105944522
#105944452
#105943762
#105939412
#105939292
C4×D3×Dic62
#105938742
#870153
#41×Dic63