Finite Group Databasebeta

← #11906392

Subgroups — #11906392

Order 1152.

2220 conjugacy classes of subgroups.

The subgroup lattice has 717 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596040C211yesmaximal, characteristic, complemented
2C3×#5574C211yesmaximal, characteristic
3C3×Q8×Dic6C211yesmaximal, characteristic, complemented
4Q8×#627C211yesmaximal, characteristic, complemented
5#10595394C211yesmaximal, characteristic
6Dic3×#239C211yesmaximal, characteristic
7#10595351C211yesmaximal, characteristic, complemented
8#10594460C213yesmaximal, complemented
9#10594376C213yesmaximal, complemented
10D3×#888C213yesmaximal, complemented
11#10594342C213yesmaximal, complemented
12#10593954C213yesmaximal, complemented
13#10593929C213yesmaximal, complemented
14#10593926C213yesmaximal, complemented
15#10593904C213yesmaximal, complemented
16#87041—31nomaximal
17#85889—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×D3×Dic6C2216yes—
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×D3×C4⋊C4C2213yes—
32C3×#888C2213yes—
33C3×#888C2213yes—
34C3×C4×D12C2213yes—
35C3×#872C2213yes—
36C3×#869C2213yes—
37C3×C4×Dic6C2213yes—
38#63919C2213yes—
39#63919C2213yes—
40#63918C2213yes—
41#63918C2213yes—
42C4×#627C2213yes—
43C4×#627C2213yes—
44#63899C2213yes—
45#63899C2216yes—
46#63898C2213yes—
47#63898C2213yes—
48#63896C2213yes—
49#63893C2213yes—
50Dic3×D12C2213yes—
51Dic3×D12C2213yes—
52D3×C4⋊Dic3C2213yes—
53#63887C2216yes—
54#63887C2213yes—
55D3×Dic3⋊C4C2216yes—
56C4×D3×Dic3C2213yes—
57#63869C2213yes—
58#63869C2213yes—
59#63856C2216yes—
60#63855C2213yes—
61#63851C2216yes—
62#63846C2213yes—
63#63845C2213yes—
64#63841C2213yes—
65#63840C2213yes—
66#63839C2216yes—
67#63839C2211yescharacteristic
68C3×Q82—31no—
69C3×#520—31no—
70#5827—31no—
71Dic3×#41—31no—
72#5730—33no—
73#5729—33no—
74#5729—33no—
75#5727—33no—
76#5727—33no—
77D3×C4⋊Q8—33no—
78#5579—33no—
79#5578—33no—
80#5574—31no—
81#5574D311yescharacteristic
82C4×#239—31no—
83#5569—31no—
84#5569—31no—
85#5569—31no—
86#5569—31no—
87#5569—61no—
88Q8×Dic6—31no—
89Q8×Dic6—31no—
90Q8×Dic6D311yescharacteristic, complemented
91#5539—33no—
92#5539—33no—
93D4×Dic6—33no—
94D4×Dic6—33no—
95#5519—33no—
96#5517—33no—
97#5500—33no—
98C2×#888—33no—
99C2×C32×Q8C2311yescharacteristic
100C2×#634C2313yes—
101C3×#239Q818yescomplemented
102C2×C3×D12C2313yes—
103C2×C3×C4×D3C2316yes—
104C2×C3×C4×D3C2313yes—
105C2×C3×Dic6C2311yescharacteristic
106C2×C3×Dic6C2316yes—
107C2×#627C2313yes—
108C2×#627C2311yescharacteristic
109C2×#627C2316yes—
110C2×D3×Dic3C2313yes—
111C2×D3×Dic3C2313yes—
112C2×D3×Dic3C2316yes—
113D3×Dic6—412no—
114C32×C4⋊C4C2313yes—
115C32×C42C2313yes—
116C4⋊(C3⋊Dic3)C2313yes—
117C4⋊(C3⋊Dic3)C2313yes—
118C4⋊(C3⋊Dic3)C2313yes—
119#3750C2311yescharacteristic
120#3750C2313yes—
121#3750C2316yes—
122C4×C3⋊Dic3C2313yes—
123C4×C3⋊Dic3C2313yes—
124C3×(C2×D3)⋊C4C2313yes—
125C3×(C2×D3)⋊C4C2313yes—
126C3×C4⋊Dic3C2313yes—
127C3×C4⋊Dic3C2313yes—
128C3×C4⋊Dic3C2313yes—
129C3×C4⋊Dic3C2313yes—
130C3×Dic3⋊C4C2313yes—
131C3×Dic3⋊C4C2313yes—
132C3×Dic3⋊C4C2313yes—
133C3×Dic3⋊C4C2311yescharacteristic
134C3×C4×Dic3C2313yes—
135C3×C4×Dic3C2313yes—
136C3×C4×Dic3C2313yes—
137#3724C2316yes—
138#3724C2311yescharacteristic
139#3724C2313yes—
140Dic3⋊Dic3C2313yes—
141Dic3⋊Dic3C2311yescharacteristic
142Dic3⋊Dic3C2313yes—
143Dic3⋊Dic3C2313yes—
144Dic3⋊Dic3C2313yes—
145Dic3⋊Dic3C2313yes—
146(C2×D3)⋊Dic3C2316yes—
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149Dic32C2313yes—
150Dic32C2311yescharacteristic
151#3503—91noSylow
152C2×C3×#41—31no—
153C2×#239C2×D311yescharacteristic
154C2×D3×Q8—36no—
155C22×Dic6—36no—
156C3×C4⋊Q8—33no—
157C3×C4⋊Q8—33no—
158C3×C4⋊Q8—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×C4⋊C4—33no—
170#946—36no—
171#946—36no—
172#946—33no—
173Q8×Dic3—31no—
174Q8×Dic3—31no—
175Q8×Dic3—31no—
176Q8×Dic3—31no—
177Q8×Dic3—61no—
178Q8×Dic3—61no—
179Q8×Dic3C2×D311yescharacteristic
180Q8×Dic3C2×D311yescharacteristic
181Q8×Dic3C2×D311yescharacteristic
182#944—36no—
183#944—31no—
184D4×Dic3—33no—
185D4×Dic3—33no—
186D4×Dic3—33no—
187D4×Dic3—33no—
188#926—33no—
189#926—33no—
190C2×C4⋊Dic3—33no—
191#924—36no—
192#924—36no—
193C2×Dic3⋊C4—36no—
194C2×C4×Dic3—33no—
195#897—33no—
196#896—36no—
197#896—33no—
198#896—33no—
199#896—36no—
200#893—33no—
201#893—33no—
202#893C2×D313yes—
203#892—33no—
204D3×C4⋊C4—33no—
205D3×C4⋊C4—36no—
206D3×C4⋊C4C2×D313yes—
207#890—33no—
208#890—33no—
209#890—33no—
210#890—33no—
211#890—33no—
212#890—33no—
213#890—63no—
214#889—33no—
215#889—33no—
216#888—36no—
217#888—31no—
218#888—33no—
219#888—33no—
220#888—33no—
221#888—33no—
222#888—33no—
223#888—33no—
224#888—33no—
225#888—33no—
226#888—33no—
227#888—33no—
228#888—63no—
229#888C2×D313yes—
230#888C2×D313yes—
231#878—33no—
232#878—36no—
233#878—33no—
234#878—36no—
235#878—33no—
236#878—33no—
237C4×D12—33no—
238C4×D12—33no—
239C4×D12C2×D313yes—
240#872—33no—
241#872C2×D313yes—
242C42×D3—33no—
243#870—33no—
244#870—33no—
245#870—33no—
246#870—33no—
247#870—63no—
248#869—33no—
249#869—33no—
250#869C2×D313yes—
251C4×Dic6—33no—
252C4×Dic6—33no—
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×C4C2413yes—
262C2×C32×C4C2411yescharacteristic
263C2×C32×C4C2413yes—
264C2×C3⋊Dic3C2413yes—
265C2×C3⋊Dic3C2411yescharacteristic
266C2×C3⋊Dic3C2413yes—
267C2×C3⋊Dic3C2411yescharacteristic
268#634—26no—
269C2×C3×Dic3C2413yes—
270C2×C3×Dic3C2411yescharacteristic
271C2×C3×Dic3C2413yes—
272C2×C3×Dic3C2411yescharacteristic
273C2×C3×Dic3C2413yes—
274C2×C3×Dic3C2411yescharacteristic
275C2×C3×Dic3C2411yescharacteristic
276C3×D12C2×Q8112yescomplemented
277C3×C4×D3—46no—
278C3×C4×D3C2×Q8112yescomplemented
279C3×Dic6—22no—
280C3×Dic6—46no—
281#627—26no—
282#627—22no—
283#627—46no—
284D3×Dic3—26no—
285D3×Dic3—26no—
286D3×Dic3—46no—
287Q82—31no—
288Q82—91no—
289#557—91no—
290#557—91no—
291#554—93no—
292#554—93no—
293D4×Q8—93no—
294D4×Q8—93no—
295#544—93no—
296#544—93no—
297#533—93no—
298C2×C4⋊Q8—93no—
299#520—31no—
300#520—91no—
301C4×#41—91no—
302C3×#41—38no—
303C2×C3×Q8—21no—
304C2×C3×Q8—31no—
305C2×C3×Q8—36no—
306C2×C3×Q8C22×D311yescharacteristic
307C2×C3×Q8C22×D311yescharacteristic
308C2×C3×D4—33no—
309C22×C3×C4—33no—
310C22×C3×C4—36no—
311C22×Dic3—33no—
312C22×Dic3—33no—
313C22×Dic3—36no—
314#239Dic618yescomplemented
315D3×Q8—1212no—
316C2×D12C22×D313yes—
317C2×C4×D3—33no—
318C2×C4×D3—33no—
319C2×C4×D3—36no—
320C2×C4×D3C22×D316yes—
321C2×C4×D3C22×D313yes—
322C2×Dic6—33no—
323C2×Dic6—33no—
324C2×Dic6—31no—
325C2×Dic6—31no—
326C2×Dic6—33no—
327C2×Dic6—33no—
328C2×Dic6—36no—
329C2×Dic6—36no—
330C2×Dic6—63no—
331C2×Dic6—1212no—
332C2×Dic6C22×D311yescharacteristic
333C2×Dic6C22×D316yes—
334C3×C4⋊C4—23no—
335C3×C4⋊C4—33no—
336C3×C4⋊C4—33no—
337C3×C4⋊C4—33no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—33no—
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—33no—
347C3×C42—23no—
348C3×C42—33no—
349C3×C42—33no—
350C3×C42—33no—
351C3×C42C22×D313yes—
352C3×C42C22×D313yes—
353#217—33no—
354#217—36no—
355#217—33no—
356(C2×D3)⋊C4—33no—
357(C2×D3)⋊C4—33no—
358(C2×D3)⋊C4—36no—
359(C2×D3)⋊C4C22×D313yes—
360(C2×D3)⋊C4C22×D313yes—
361C4⋊Dic3—33no—
362C4⋊Dic3—33no—
363C4⋊Dic3—33no—
364C4⋊Dic3—33no—
365C4⋊Dic3—33no—
366C4⋊Dic3—33no—
367C4⋊Dic3—33no—
368C4⋊Dic3—33no—
369C4⋊Dic3—33no—
370C4⋊Dic3—33no—
371C4⋊Dic3—33no—
372C4⋊Dic3—31no—
373C4⋊Dic3—63no—
374C4⋊Dic3—63no—
375C4⋊Dic3—63no—
376C4⋊Dic3C22×D313yes—
377C4⋊Dic3C22×D313yes—
378C4⋊Dic3C22×D313yes—
379C4⋊Dic3C22×D313yes—
380Dic3⋊C4—31no—
381Dic3⋊C4—31no—
382Dic3⋊C4—33no—
383Dic3⋊C4—33no—
384Dic3⋊C4—36no—
385Dic3⋊C4—36no—
386Dic3⋊C4—31no—
387Dic3⋊C4—31no—
388Dic3⋊C4—33no—
389Dic3⋊C4—33no—
390Dic3⋊C4—33no—
391Dic3⋊C4—33no—
392Dic3⋊C4—33no—
393Dic3⋊C4—33no—
394Dic3⋊C4—36no—
395Dic3⋊C4—36no—
396Dic3⋊C4—31no—
397Dic3⋊C4—33no—
398Dic3⋊C4—61no—
399Dic3⋊C4—63no—
400Dic3⋊C4—66no—
401Dic3⋊C4C22×D313yes—
402Dic3⋊C4C22×D313yes—
403Dic3⋊C4C22×D311yescharacteristic
404Dic3⋊C4C22×D313yes—
405C4×Dic3—33no—
406C4×Dic3—33no—
407C4×Dic3—33no—
408C4×Dic3—33no—
409C4×Dic3—31no—
410C4×Dic3—33no—
411C4×Dic3—31no—
412C4×Dic3—33no—
413C4×Dic3—63no—
414C4×Dic3—63no—
415C4×Dic3C22×D313yes—
416C4×Dic3C22×D313yes—
417C4×Dic3C22×D313yes—
418C22×C32C2511yescharacteristic
419C2×C3×D3—23no—
420C2×C3×D3—23no—
421C2×C3×D3C22×Q816yes—
422C32×C4—23no—
423C32×C4—21no—
424C32×C4C22×Q816yes—
425C3⋊Dic3—23no—
426C3⋊Dic3—23no—
427C3⋊Dic3—21no—
428C3⋊Dic3H(5,𝔽2)12yes—
429C3×Dic3—23no—
430C3×Dic3—23no—
431C3×Dic3—23no—
432C3×Dic3—21no—
433C3×Dic3—21no—
434C3×Dic3C22×Q812yes—
435C3×Dic32−1+412yes—
436C2×#41—31no—
437C22×Q8—96no—
438C4⋊Q8—33no—
439C4⋊Q8—33no—
440C4⋊Q8—33no—
441C4⋊Q8—93no—
442C4⋊Q8—93no—
443C4⋊Q8—93no—
444C4⋊Q8—93no—
445C4⋊Q8—93no—
446C4⋊Q8—96no—
447C4⋊Q8—91no—
448C4⋊Q8—93no—
449#125—93no—
450#125—93no—
451#125—93no—
452#125—93no—
453#125—93no—
454#125—93no—
455C22⋊Q8—93no—
456C22⋊Q8—93no—
457C22⋊Q8—93no—
458C22⋊Q8—96no—
459C22⋊Q8—93no—
460C22⋊Q8—96no—
461C22⋊Q8—96no—
462C22⋊Q8—96no—
463C4×Q8—31no—
464C4×Q8—31no—
465C4×Q8—31no—
466C4×Q8—33no—
467C4×Q8—93no—
468C4×Q8—93no—
469C4×Q8—91no—
470C4×Q8—91no—
471C4×Q8—93no—
472C4×Q8D3211yescharacteristic
473C4×D4—33no—
474C4×D4—33no—
475C4×D4—93no—
476C4×D4—93no—
477C4×D4—93no—
478C4×D4—93no—
479#117—33no—
480#117—93no—
481#117—93no—
482C2×C4⋊C4—33no—
483C2×C4⋊C4—93no—
484C2×C4⋊C4—96no—
485C2×C42—93no—
486C23×C3—33no—
487C22×D3C23×D313yes—
488C3×Q8—24no—
489C3×Q8—62no—
490C3×Q8—126no—
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—312no—
500C2×C3×C4—33no—
501C2×C3×C4—31no—
502C2×C3×C4—31no—
503C2×C3×C4—33no—
504C2×C3×C4—33no—
505C2×C3×C4—126no—
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D313yes—
509C2×C3×C4C23×D313yes—
510C2×C3×C4C23×D313yes—
511C2×C3×C4C23×D313yes—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—33no—
517C2×Dic3—33no—
518C2×Dic3—33no—
519C2×Dic3—33no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—63no—
523C2×Dic3—63no—
524C2×Dic3—66no—
525C2×Dic3—66no—
526C2×Dic3—126no—
527C2×Dic3C23×D313yes—
528C2×Dic3C23×D311yescharacteristic
529C2×Dic3C23×D311yescharacteristic
530C2×Dic3C23×D313yes—
531C2×Dic3C23×D313yes—
532C2×Dic3C23×D311yescharacteristic
533C2×Dic3C23×D311yescharacteristic
534D12C2×Dic6112yescomplemented
535C4×D3—46no—
536C4×D3—66no—
537C4×D3—66no—
538C4×D3—126no—
539C4×D3C2×Dic6112yescomplemented
540Dic6—22no—
541Dic6—46no—
542Dic6—66no—
543Dic6—66no—
544Dic6—62no—
545Dic6—66no—
546Dic6—66no—
547Dic6—62no—
548Dic6—126no—
549Dic6—126no—
550Dic6—126no—
551C2×C32C23×Q811yescharacteristic
552C2×C32C2×H(5,𝔽2)11yescharacteristic
553C2×C32C2×2−1+411yescharacteristic
554C3×D3—26no—
555#41—38no—
556C2×Q8—31no—
557C2×Q8—36no—
558C2×Q8—91no—
559C2×Q8—93no—
560C2×Q8—96no—
561C2×Q8—93no—
562C2×Q8—3612no—
563C2×Q8C2×D3211yescharacteristic
564C2×D4—33no—
565C22×C4—33no—
566C22×C4—36no—
567C22×C4—93no—
568C22×C4—93no—
569C22×C4—96no—
570C4⋊C4—33no—
571C4⋊C4—33no—
572C4⋊C4—33no—
573C4⋊C4—33no—
574C4⋊C4—31no—
575C4⋊C4—33no—
576C4⋊C4—33no—
577C4⋊C4—33no—
578C4⋊C4—93no—
579C4⋊C4—93no—
580C4⋊C4—96no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—93no—
584C4⋊C4—93no—
585C4⋊C4—93no—
586C4⋊C4—93no—
587C4⋊C4—93no—
588C4⋊C4—96no—
589C4⋊C4—93no—
590C4⋊C4—91no—
591C4⋊C4—93no—
592C4⋊C4—93no—
593C4⋊C4C2×D3213yes—
594C22⋊C4—33no—
595C22⋊C4—33no—
596C22⋊C4—93no—
597C22⋊C4—96no—
598C22⋊C4—93no—
599C42—33no—
600C42—33no—
601C42—33no—
602C42—91no—
603C42—93no—
604C42—93no—
605C42—93no—
606C42C2×D3213yes—
607C22×C3—21no—
608C22×C3—36no—
609C22×C3—63no—
610C22×C3—63no—
611C22×C3C24×D311yescharacteristic
612C22×C3C24×D311yescharacteristic
613C2×D3—23no—
614C2×D3—23no—
615C2×D3C22×Dic616yes—
616C3×C4—21no—
617C3×C4—23no—
618C3×C4—23no—
619C3×C4—21no—
620C3×C4—26no—
621C3×C4—32no—
622C3×C4—32no—
623C3×C4—43no—
624C3×C4—41no—
625C3×C4—61no—
626C3×C4—63no—
627C3×C4—63no—
628C3×C4—63no—
629C3×C4—61no—
630C3×C4C22×Dic616yes—
631C3×C4C2×D3×Q816yes—
632Dic3—21no—
633Dic3—23no—
634Dic3—23no—
635Dic3—23no—
636Dic3—21no—
637Dic3—32no—
638Dic3—32no—
639Dic3—62no—
640Dic3—61no—
641Dic3—63no—
642Dic3—63no—
643Dic3—63no—
644Dic3—61no—
645Dic3—63no—
646Dic3—123no—
647Dic3—123no—
648Dic3—121no—
649Dic3C22×Dic612yes—
650Dic3#100712yes—
651C32#350311yescharacteristic, complemented, Sylow
652C23—33no—
653Q8—62no—
654Q8—126no—
655Q8—186no—
656Q8—182no—
657Q8—186no—
658Q8—366no—
659Q8D3×Dic614yescomplemented
660D4—312no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—312no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—33no—
667C2×C4—33no—
668C2×C4—33no—
669C2×C4—91no—
670C2×C4—91no—
671C2×C4—93no—
672C2×C4—93no—
673C2×C4—126no—
674C2×C4—186no—
675C2×C4—186no—
676C2×C4—366no—
677C2×C4C22×D3211yescharacteristic
678C2×C4C22×D3213yes—
679C2×C4C22×D3213yes—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—66no—
684C2×C3C23×Dic611yescharacteristic
685C2×C3C22×D3×Q811yescharacteristic
686C2×C3C2×#100711yescharacteristic
687C2×C3D3×H(5,𝔽2)11yescharacteristic
688C2×C3D3×H(5,𝔽2)11yescharacteristic
689C2×C3D3×2−1+411yescharacteristic
690D3—26no—
691C22—36no—
692C22—63no—
693C22—63no—
694C22C23×D3211yescharacteristic
695C4—21no—
696C4—23no—
697C4—32no—
698C4—32no—
699C4—61no—
700C4—61no—
701C4—63no—
702C4—63no—
703C4—63no—
704C4—92no—
705C4—183no—
706C4—181no—
707C4—183no—
708C4C2×D3×Dic616yes—
709C3—21no—
710C3#8588911yescharacteristic, complemented
711C3#8704111yescharacteristic, complemented
712C2—66no—
713C2C22×D3×Dic611yescharacteristic
714C2D3×#100711yescharacteristic
715C2#1059669211yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
prime radicalC2×C3×#239C22
hypercenterC4×Q8D32
hypocenterC32#3503
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×Q8×Dic6C2semidirect
4. Q8×#627C2semidirect
7. #10595351C2semidirect
8. #10594460C2semidirect
9. #10594376C2semidirect
10. D3×#888C2semidirect
11. #10594342C2semidirect
12. #10593954C2semidirect
13. #10593929C2semidirect
14. #10593926C2semidirect
15. #10593904C2semidirect
90. Q8×Dic6D3semidirect
101. C3×#239Q8semidirect
260. C32×Q8C2×Q8semidirect
276. C3×D12C2×Q8semidirect
278. C3×C4×D3C2×Q8semidirect
314. #239Dic6semidirect
491. C3×Q8C2×Dic6semidirect
492. C3×Q8D3×Q8semidirect
534. D12C2×Dic6semidirect
539. C4×D3C2×Dic6semidirect
651. C32#3503semidirect
659. Q8D3×Dic6semidirect
710. C3#85889semidirect
711. C3#87041semidirect

Maximal subgroups

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

subgroupindex
#105960402
C3×#55742
C3×Q8×Dic62
Q8×#6272
#105953942
Dic3×#2392
#105953512
#105944602
#105943762
D3×#8882
#105943422
#105939542
#105939292
#105939262
#105939042
#870413
#858893