Finite Group Databasebeta

← #11909889

Subgroups — #11909889

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#10596043C211yesmaximal, characteristic, complemented
2C3×Q8×D12C211yesmaximal, characteristic, complemented
3C3×#5569C211yesmaximal, characteristic, complemented
4Q8×#626C211yesmaximal, characteristic, complemented
5Q8×#626C211yesmaximal, characteristic, complemented
6D3×Q8×Dic3C211yesmaximal, characteristic, complemented
7#10595347C211yesmaximal, characteristic, complemented
8#10594557C213yesmaximal, complemented
9#10594457C213yesmaximal, complemented
10#10594387C213yesmaximal, complemented
11#10594346C213yesmaximal, complemented
12#10593920C213yesmaximal, complemented
13#10593911C213yesmaximal
14#10593867C213yesmaximal, complemented
15#10593861C213yesmaximal, complemented
16#87024—31nomaximal
17#86752—31nomaximal
18C2×Q8×C3⋊D3C2211yescharacteristic
19C2×C3×D3×Q8C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21C32×C4×Q8C2211yescharacteristic
22Q8×C3⋊Dic3C2211yescharacteristic
23#64101C2213yes—
24#64096C2213yes—
25#64081C2213yes—
26C4×#634C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×#897C2213yes—
30C3×#897C2213yes—
31C3×#890C2213yes—
32C3×#888C2213yes—
33C3×C4×D12C2213yes—
34C3×#870C2213yes—
35C3×#869C2213yes—
36C3×C4×Dic6C2213yes—
37#63907C2213yes—
38C4×#626C2213yes—
39C4×#626C2213yes—
40#63890C2213yes—
41D3×C4⋊Dic3C2213yes—
42#63887C2213yes—
43#63886C2211yescharacteristic
44#63884C2213yes—
45#63878C2216yes—
46C4×D3×Dic3C2213yes—
47#63872C2216yes—
48#63871C2213yes—
49#63871C2213yes—
50#63866C2213yes—
51#63866C2213yes—
52#63862C2216yes—
53#63858C2213yes—
54#63857C2213yes—
55#63857C2213yes—
56#63855C2213yes—
57#63848C2213yes—
58#63848C2216yes—
59#63846C2216yes—
60#63846C2213yes—
61#63846C2216yes—
62#63843C2213yes—
63#63843C2213yes—
64#63843C2216yes—
65Dic3×Dic6C2213yes—
66Dic3×Dic6C2213yes—
67#63841C2213yes—
68C3×#557—31no—
69C3×D4×Q8—31no—
70Q8×#67—31no—
71Q8×#67—31no—
72#5812—31no—
73C2×Q8×Dic3—31no—
74#5732—33no—
75#5731—33no—
76#5728—33no—
77#5721—33no—
78#5698—33no—
79#5698—33no—
80#5694—33no—
81#5694—33no—
82#5642—33no—
83#5641—33no—
84#5625—33no—
85#5622—33no—
86#5580—33no—
87Q8×D12—31no—
88Q8×D12—31no—
89Q8×D12D311yescharacteristic, complemented
90#5572—31no—
91#5572—31no—
92#5572—31no—
93#5572—61no—
94C4×D3×Q8—31no—
95#5570—33no—
96#5569D311yescharacteristic, complemented
97#5541—33no—
98#5538—33no—
99C2×C32×Q8C2311yescharacteristic
100Q8×C3⋊D3—24no—
101C2×C4×C3⋊D3C2313yes—
102C2×#634C2313yes—
103C3×D3×Q8—24no—
104C3×D3×Q8—24no—
105C2×C3×D12C2311yescharacteristic
106C2×C3×C4×D3C2313yes—
107C2×C3×C4×D3C2313yes—
108C2×C3×Dic6C2313yes—
109C2×C3×Dic6C2313yes—
110C2×C3×Dic6C2313yes—
111C2×#626C2311yescharacteristic
112C2×#626C2311yescharacteristic
113C2×D3×Dic3C2311yescharacteristic
114C2×D3×Dic3C2313yes—
115C32×C4⋊C4C2313yes—
116C32×C42C2313yes—
117#3752C2311yescharacteristic
118#3752C2313yes—
119C4⋊(C3⋊Dic3)C2313yes—
120#3750C2313yes—
121#3750C2313yes—
122C4×C3⋊Dic3C2316yes—
123C4×C3⋊Dic3C2313yes—
124C3×(C2×D3)⋊C4C2313yes—
125C3×(C2×D3)⋊C4C2313yes—
126C3×C4⋊Dic3C2313yes—
127C3×C4⋊Dic3C2313yes—
128C3×C4⋊Dic3C2313yes—
129C3×C4⋊Dic3C2316yes—
130C3×C4⋊Dic3C2313yes—
131C3×Dic3⋊C4C2316yes—
132C3×Dic3⋊C4C2311yescharacteristic
133C3×Dic3⋊C4C2313yes—
134C3×C4×Dic3C2313yes—
135C3×C4×Dic3C2313yes—
136Dic3⋊Dic3C2313yes—
137Dic3⋊Dic3C2316yes—
138Dic3⋊Dic3C2313yes—
139Dic3⋊Dic3C2313yes—
140Dic3⋊Dic3C2316yes—
141Dic3⋊Dic3C2316yes—
142Dic3⋊Dic3C2313yes—
143#3722C2313yes—
144#3722C2313yes—
145(C2×D3)⋊Dic3C2313yes—
146(C2×D3)⋊Dic3C2311yescharacteristic
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149Dic32C2316yes—
150Dic32C2313yes—
151Dic32C2313yes—
152#3523—91noSylow
153C22×C3×Q8—31no—
154C22×C3×Q8—31no—
155C2×D3×Q8—31no—
156C2×D3×Q8—31no—
157C2×D3×Q8—61no—
158C2×D3×Q8C2×D311yescharacteristic
159C2×D3×Q8C2×D311yescharacteristic
160C3×C4⋊Q8—33no—
161C3×C4⋊Q8—33no—
162C3×#125—33no—
163C3×#125—33no—
164C3×C22⋊Q8—33no—
165C3×C22⋊Q8—33no—
166C3×C4×Q8—21no—
167C3×C4×Q8—31no—
168C3×C4×Q8—31no—
169C3×C4×Q8—33no—
170C3×C4×Q8C2×D311yescharacteristic
171C3×C4×Q8C2×D311yescharacteristic
172C3×C4×D4—33no—
173#947—33no—
174#946—33no—
175#946—33no—
176#946—33no—
177Q8×Dic3—31no—
178Q8×Dic3—31no—
179Q8×Dic3—36no—
180Q8×Dic3—33no—
181Q8×Dic3—33no—
182Q8×Dic3—33no—
183Q8×Dic3—33no—
184Q8×Dic3—61no—
185Q8×Dic3C2×D311yescharacteristic
186Q8×Dic3C2×D311yescharacteristic
187#944—33no—
188#944—33no—
189#939—31no—
190#935—33no—
191C4×#67—33no—
192C4×#67—33no—
193#926—33no—
194#926—33no—
195C2×C4⋊Dic3—33no—
196#924—33no—
197#924—33no—
198C2×C4×Dic3—33no—
199#898—36no—
200#898—33no—
201#898—36no—
202#898—33no—
203#898—36no—
204#898—33no—
205#897—33no—
206#897—33no—
207#897—33no—
208#897—33no—
209#897C2×D313yes—
210#897C2×D313yes—
211#895—31no—
212#894—33no—
213#894—33no—
214#892—33no—
215#892—33no—
216#892—33no—
217#892—36no—
218#892—63no—
219D3×C4⋊C4—33no—
220#890—36no—
221#890—36no—
222#890—36no—
223#890—36no—
224#890—33no—
225#890C2×D313yes—
226#889—33no—
227#889—36no—
228#889—36no—
229#888C2×D313yes—
230#887—36no—
231#887—33no—
232#887—33no—
233#887—33no—
234#887—33no—
235#887—63no—
236#886—33no—
237#885—33no—
238#879—33no—
239#879—36no—
240#878—33no—
241#877—36no—
242C4×D12—33no—
243C4×D12—33no—
244C4×D12C2×D313yes—
245#872—33no—
246#872—33no—
247#872—33no—
248#872—63no—
249C42×D3—33no—
250#870C2×D313yes—
251#869—33no—
252#869—33no—
253#869C2×D313yes—
254C4×Dic6—33no—
255C4×Dic6—33no—
256C4×Dic6—33no—
257C4×Dic6—33no—
258C4×Dic6—63no—
259C4×Dic6C2×D313yes—
260C22×C3⋊D3C2411yescharacteristic
261C22×C3×D3C2411yescharacteristic
262C22×C3×D3C2411yescharacteristic
263C32×Q8#4114yes—
264C2×C32×C4C2411yescharacteristic
265C2×C32×C4C2413yes—
266C2×C32×C4C2413yes—
267C2×C3⋊Dic3C2411yescharacteristic
268C2×C3⋊Dic3C2413yes—
269C2×C3⋊Dic3C2413yes—
270C4×C3⋊D3—26no—
271#634—26no—
272C2×C3×Dic3C2413yes—
273C2×C3×Dic3C2413yes—
274C2×C3×Dic3C2413yes—
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2411yescharacteristic
277C2×C3×Dic3C2411yescharacteristic
278C3×D12—22no—
279C3×C4×D3—26no—
280C3×C4×D3—26no—
281C3×Dic6—26no—
282C3×Dic6—26no—
283C3×Dic6—26no—
284#626—22no—
285#626—22no—
286D3×Dic3—26no—
287D3×Dic3—22no—
288#557—31no—
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—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×Q8C22×D311yescharacteristic
310C2×C3×Q8C22×D311yescharacteristic
311C2×C3×D4—31no—
312C22×C3×C4—33no—
313C22×C3×C4—33no—
314C2×#67—31no—
315C2×#67—31no—
316C22×Dic3—33no—
317C22×Dic3—31no—
318D3×Q8—24no—
319D3×Q8—24no—
320D3×Q8—68no—
321D3×Q8—64no—
322D3×Q8—64no—
323C2×D12—31no—
324C2×D12—31no—
325C2×D12C22×D311yescharacteristic
326C2×C4×D3—31no—
327C2×C4×D3—33no—
328C2×C4×D3—33no—
329C2×C4×D3—33no—
330C2×C4×D3—63no—
331C2×C4×D3C22×D313yes—
332C2×C4×D3C22×D313yes—
333C2×Dic6—33no—
334C2×Dic6—33no—
335C2×Dic6—63no—
336C2×Dic6C22×D313yes—
337C2×Dic6C22×D313yes—
338C2×Dic6C22×D313yes—
339C3×C4⋊C4—23no—
340C3×C4⋊C4—36no—
341C3×C4⋊C4—33no—
342C3×C4⋊C4—33no—
343C3×C4⋊C4—33no—
344C3×C4⋊C4—31no—
345C3×C4⋊C4—33no—
346C3×C4⋊C4—33no—
347C3×C4⋊C4—36no—
348C3×C4⋊C4C22×D313yes—
349C3×C4⋊C4C22×D313yes—
350C3×C22⋊C4—33no—
351C3×C22⋊C4—33no—
352C3×C42—23no—
353C3×C42—33no—
354C3×C42—33no—
355C3×C42C22×D313yes—
356C3×C42C22×D313yes—
357#217—33no—
358#217—33no—
359#217—31no—
360#217—33no—
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—33no—
363(C2×D3)⋊C4—33no—
364(C2×D3)⋊C4—33no—
365(C2×D3)⋊C4—31no—
366(C2×D3)⋊C4—31no—
367(C2×D3)⋊C4—33no—
368(C2×D3)⋊C4—33no—
369(C2×D3)⋊C4—33no—
370(C2×D3)⋊C4—33no—
371(C2×D3)⋊C4—33no—
372(C2×D3)⋊C4—33no—
373(C2×D3)⋊C4—61no—
374(C2×D3)⋊C4—63no—
375(C2×D3)⋊C4C22×D313yes—
376(C2×D3)⋊C4C22×D313yes—
377C4⋊Dic3—33no—
378C4⋊Dic3—33no—
379C4⋊Dic3—33no—
380C4⋊Dic3—33no—
381C4⋊Dic3—36no—
382C4⋊Dic3—36no—
383C4⋊Dic3—33no—
384C4⋊Dic3—36no—
385C4⋊Dic3—33no—
386C4⋊Dic3—63no—
387C4⋊Dic3C22×D313yes—
388C4⋊Dic3C22×D313yes—
389C4⋊Dic3C22×D316yes—
390C4⋊Dic3C22×D313yes—
391C4⋊Dic3C22×D313yes—
392Dic3⋊C4—33no—
393Dic3⋊C4—33no—
394Dic3⋊C4—33no—
395Dic3⋊C4—33no—
396Dic3⋊C4—33no—
397Dic3⋊C4—36no—
398Dic3⋊C4—33no—
399Dic3⋊C4—36no—
400Dic3⋊C4—33no—
401Dic3⋊C4—36no—
402Dic3⋊C4—33no—
403Dic3⋊C4—63no—
404Dic3⋊C4—63no—
405Dic3⋊C4C22×D311yescharacteristic
406Dic3⋊C4C22×D313yes—
407Dic3⋊C4C22×D316yes—
408C4×Dic3—36no—
409C4×Dic3—36no—
410C4×Dic3—33no—
411C4×Dic3—33no—
412C4×Dic3—33no—
413C4×Dic3—36no—
414C4×Dic3—33no—
415C4×Dic3—36no—
416C4×Dic3—33no—
417C4×Dic3—33no—
418C4×Dic3—66no—
419C4×Dic3—63no—
420C4×Dic3C22×D313yes—
421C4×Dic3C22×D313yes—
422C22×C32C2511yescharacteristic
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×D3—21no—
431C2×C3×D32−1+412yes—
432C32×C4—23no—
433C32×C4—21no—
434C32×C4C2×#4116yes—
435C3⋊Dic3—23no—
436C3⋊Dic3—23no—
437C3⋊Dic3—21no—
438C3×Dic3—23no—
439C3×Dic3—23no—
440C3×Dic3—23no—
441C3×Dic3—21no—
442C3×Dic3—23no—
443C3×Dic32−1+412yes—
444C22×Q8—31no—
445C22×Q8—31no—
446C22×Q8—91no—
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—33no—
456#125—33no—
457#125—93no—
458#125—96no—
459#125—96no—
460#125—96no—
461#124—93no—
462#123—93no—
463#123—93no—
464C22⋊Q8—33no—
465C22⋊Q8—33no—
466C22⋊Q8—93no—
467C22⋊Q8—93no—
468C22⋊Q8—93no—
469C22⋊Q8—93no—
470C22⋊Q8—93no—
471#121—91no—
472C4×Q8—31no—
473C4×Q8—31no—
474C4×Q8—33no—
475C4×Q8—93no—
476C4×Q8—93no—
477C4×Q8—93no—
478C4×Q8—93no—
479C4×Q8—96no—
480C4×Q8—91no—
481C4×Q8—93no—
482C4×Q8—93no—
483C4×Q8D3211yescharacteristic
484C4×D4—33no—
485C4×D4—93no—
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—31no—
495C23×C3—31no—
496C22×D3—31no—
497C22×D3—31no—
498C22×D3—61no—
499C22×D3C23×D311yescharacteristic
500C22×D3C23×D311yescharacteristic
501C3×Q8—24no—
502C3×Q8—66no—
503C3×Q8—66no—
504C3×Q8—66no—
505C3×Q8#23714yes—
506C3×Q8#23914yes—
507C3×D4—62no—
508C2×C3×C4—23no—
509C2×C3×C4—23no—
510C2×C3×C4—21no—
511C2×C3×C4—31no—
512C2×C3×C4—33no—
513C2×C3×C4—33no—
514C2×C3×C4—33no—
515C2×C3×C4—33no—
516C2×C3×C4—31no—
517C2×C3×C4—66no—
518C2×C3×C4—66no—
519C2×C3×C4C23×D313yes—
520C2×C3×C4C23×D313yes—
521C2×C3×C4C23×D311yescharacteristic
522C2×C3×C4C23×D311yescharacteristic
523C2×C3×C4C23×D313yes—
524C2×C3×C4C23×D313yes—
525#67—62no—
526#67—62no—
527C2×Dic3—31no—
528C2×Dic3—33no—
529C2×Dic3—31no—
530C2×Dic3—33no—
531C2×Dic3—33no—
532C2×Dic3—33no—
533C2×Dic3—63no—
534C2×Dic3—61no—
535C2×Dic3—63no—
536C2×Dic3—66no—
537C2×Dic3—62no—
538C2×Dic3C23×D313yes—
539C2×Dic3C23×D313yes—
540C2×Dic3C23×D313yes—
541C2×Dic3C23×D313yes—
542C2×Dic3C23×D311yescharacteristic
543C2×Dic3C23×D311yescharacteristic
544D12—22no—
545D12—62no—
546D12—62no—
547C4×D3—26no—
548C4×D3—26no—
549C4×D3—612no—
550C4×D3—62no—
551C4×D3—66no—
552C4×D3—66no—
553C4×D3—66no—
554Dic6—26no—
555Dic6—26no—
556Dic6—26no—
557Dic6—612no—
558Dic6—66no—
559Dic6—66no—
560C2×C32C22×#4111yescharacteristic
561C2×C32C2×2−1+411yescharacteristic
562C2×C32C2×2−1+411yescharacteristic
563C3⋊D3—41no—
564C3×D3—22no—
565C3×D3—41no—
566C2×Q8—33no—
567C2×Q8—33no—
568C2×Q8—33no—
569C2×Q8—64no—
570C2×Q8—64no—
571C2×Q8—93no—
572C2×Q8—184no—
573C2×Q8C2×D3211yescharacteristic
574C2×D4—31no—
575C2×D4—91no—
576C2×D4—91no—
577C22×C4—33no—
578C22×C4—33no—
579C22×C4—91no—
580C22×C4—93no—
581C22×C4—93no—
582C4⋊C4—33no—
583C4⋊C4—33no—
584C4⋊C4—36no—
585C4⋊C4—33no—
586C4⋊C4—31no—
587C4⋊C4—33no—
588C4⋊C4—33no—
589C4⋊C4—36no—
590C4⋊C4—96no—
591C4⋊C4—93no—
592C4⋊C4—93no—
593C4⋊C4—96no—
594C4⋊C4—93no—
595C4⋊C4—93no—
596C4⋊C4—96no—
597C4⋊C4—93no—
598C4⋊C4—93no—
599C4⋊C4—93no—
600C4⋊C4C2×D3213yes—
601C22⋊C4—33no—
602C22⋊C4—33no—
603C22⋊C4—93no—
604C22⋊C4—93no—
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—
618C42C2×D3213yes—
619C22×C3—21no—
620C22×C3—32no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3C24×D311yescharacteristic
627C22×C3C24×D311yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—62no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—61no—
639C2×D3—61no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3#100712yes—
643C3×C4—21no—
644C3×C4—23no—
645C3×C4—21no—
646C3×C4—23no—
647C3×C4—26no—
648C3×C4—32no—
649C3×C4—41no—
650C3×C4—43no—
651C3×C4—63no—
652C3×C4—63no—
653C3×C4—63no—
654C3×C4—61no—
655C3×C4—63no—
656C3×C4C2×#23716yes—
657C3×C4C2×#23916yes—
658Dic3—23no—
659Dic3—23no—
660Dic3—23no—
661Dic3—23no—
662Dic3—21no—
663Dic3—66no—
664Dic3—63no—
665Dic3—63no—
666Dic3—63no—
667Dic3—61no—
668Dic3—61no—
669Dic3—63no—
670Dic3—123no—
671Dic3—121no—
672Dic3#101012yes—
673C32#352311yescharacteristic, complemented, Sylow
674C23—31no—
675C23—31no—
676C23—91no—
677Q8—66no—
678Q8—66no—
679Q8—66no—
680Q8—186no—
681Q8#379614yes—
682D4—62no—
683D4—182no—
684D4—182no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—33no—
688C2×C4—33no—
689C2×C4—33no—
690C2×C4—33no—
691C2×C4—66no—
692C2×C4—66no—
693C2×C4—93no—
694C2×C4—91no—
695C2×C4—93no—
696C2×C4—182no—
697C2×C4—186no—
698C2×C4—186no—
699C2×C4C22×D3213yes—
700C2×C4C22×D3211yescharacteristic
701C2×C4C22×D3213yes—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—62no—
706C2×C3—121no—
707C2×C3C22×#23711yescharacteristic
708C2×C3C22×#23911yescharacteristic
709C2×C3C2×#100711yescharacteristic
710C2×C3C2×#101011yescharacteristic
711C2×C3D3×2−1+411yescharacteristic
712C2×C3D3×2−1+411yescharacteristic
713D3—22no—
714D3—41no—
715D3—122no—
716D3—121no—
717D3—121no—
718C22—32no—
719C22—61no—
720C22—61no—
721C22—61no—
722C22—61no—
723C22—61no—
724C22—181no—
725C22—181no—
726C22—181no—
727C22C23×D3211yescharacteristic
728C4—21no—
729C4—23no—
730C4—32no—
731C4—63no—
732C4—63no—
733C4—63no—
734C4—61no—
735C4—63no—
736C4—183no—
737C4—183no—
738C4—181no—
739C4C2×#379616yes—
740C3—21no—
741C3#8675211yescharacteristic, complemented
742C3#8702411yescharacteristic, complemented
743C2—62no—
744C2—121no—
745C2—361no—
746C2C22×#379611yescharacteristic
747C2D3×#100711yescharacteristic
748C2D3×#101011yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
prime radical#63886C22
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. #10596043C2semidirect
2. C3×Q8×D12C2semidirect
3. C3×#5569C2semidirect
4. Q8×#626C2semidirect
5. Q8×#626C2semidirect
6. D3×Q8×Dic3C2semidirect
7. #10595347C2semidirect
8. #10594557C2semidirect
9. #10594457C2semidirect
10. #10594387C2semidirect
11. #10594346C2semidirect
12. #10593920C2semidirect
14. #10593867C2semidirect
15. #10593861C2semidirect
89. Q8×D12D3semidirect
96. #5569D3semidirect
673. C32#3523semidirect
741. C3#86752semidirect
742. C3#87024semidirect

Maximal subgroups

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

subgroupindex
#105960432
C3×Q8×D122
C3×#55692
Q8×#6262
D3×Q8×Dic32
#105953472
#105945572
#105944572
#105943872
#105943462
#105939202
#105939112
#105938672
#105938612
#870243
#867523