Finite Group Databasebeta

← #11909943

Subgroups — #11909943

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×#5572C211yesmaximal, characteristic, complemented
3C3×C4×D3×Q8C211yesmaximal, characteristic, complemented
4#10595422C211yesmaximal, characteristic, complemented
5Q8×#626C211yesmaximal, characteristic, complemented
6Q8×#626C211yesmaximal, characteristic, complemented
7Q8×#625C211yesmaximal, characteristic, complemented
8#10594595C213yesmaximal, complemented
9#10594565C213yesmaximal, complemented
10#10594550C213yesmaximal, complemented
11#10594333C213yesmaximal, complemented
12#10593973C213yesmaximal
13#10593883C213yesmaximal, complemented
14#10593880C213yesmaximal, complemented
15#10593873C213yesmaximal, complemented
16#85884—31nomaximal
17#85804—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×#892C2213yes—
30C3×D3×C4⋊C4C2213yes—
31C3×#887C2213yes—
32C3×#887C2213yes—
33C3×#872C2213yes—
34C3×C42×D3C2213yes—
35C3×C4×Dic6C2213yes—
36C3×C4×Dic6C2213yes—
37#63918C2213yes—
38C4×#627C2216yes—
39C4×#627C2213yes—
40#63906C2211yescharacteristic
41#63905C2213yes—
42C4×#626C2213yes—
43C4×#626C2213yes—
44C4×#625C2213yes—
45#63873C2213yes—
46#63872C2213yes—
47#63871C2213yes—
48#63871C2213yes—
49#63870C2216yes—
50#63869C2213yes—
51#63868C2216yes—
52#63868C2213yes—
53#63867C2213yes—
54#63867C2216yes—
55#63867C2216yes—
56#63866C2213yes—
57#63866C2213yes—
58#63862C2216yes—
59#63859C2213yes—
60#63857C2213yes—
61#63857C2213yes—
62#63856C2213yes—
63#63856C2213yes—
64#63855C2216yes—
65#63852C2213yes—
66#63851C2213yes—
67#63850C2213yes—
68C3×#519—31no—
69C2×C3×C4×Q8—31no—
70Q8×#67—31no—
71Q8×#67—31no—
72Q8×#67—31no—
73Q8×#67—31no—
74#5584—33no—
75#5583—33no—
76#5583—33no—
77#5583—33no—
78#5581—33no—
79#5578—33no—
80Q8×D12—31no—
81Q8×D12—31no—
82#5572—31no—
83#5572—31no—
84#5572—61no—
85#5572D311yescharacteristic, complemented
86C4×D3×Q8D311yescharacteristic, complemented
87#5570—31no—
88#5569—31no—
89#5567—33no—
90#5567—33no—
91#5533—33no—
92#5529—33no—
93#5528—33no—
94#5518—33no—
95#5513—33no—
96#5513—33no—
97#5479—33no—
98#5470—33no—
99C2×C32×Q8C2311yescharacteristic
100Q8×C3⋊D3—24no—
101C2×C4×C3⋊D3C2313yes—
102C2×#634C2313yes—
103C3×D3×Q8—24no—
104C3×D3×Q8—24no—
105C2×C3×C4×D3C2313yes—
106C2×C3×C4×D3C2313yes—
107C2×C3×C4×D3C2313yes—
108C2×C3×C4×D3C2311yescharacteristic
109C2×C3×Dic6C2313yes—
110C2×C3×Dic6C2313yes—
111C2×#627C2313yes—
112C2×#626C2311yescharacteristic
113C2×#626C2311yescharacteristic
114C2×#625C2311yescharacteristic
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)⋊C4C2311yescharacteristic
126C3×C4⋊Dic3C2313yes—
127C3×C4⋊Dic3C2313yes—
128C3×Dic3⋊C4C2313yes—
129C3×Dic3⋊C4C2316yes—
130C3×Dic3⋊C4C2313yes—
131C3×C4×Dic3C2313yes—
132C3×C4×Dic3C2316yes—
133C3×C4×Dic3C2313yes—
134C3×C4×Dic3C2313yes—
135C3×C4×Dic3C2313yes—
136#3724C2313yes—
137#3724C2316yes—
138#3724C2313yes—
139Dic3⋊Dic3C2313yes—
140Dic3⋊Dic3C2316yes—
141Dic3⋊Dic3C2316yes—
142Dic3⋊Dic3C2316yes—
143Dic3⋊Dic3C2313yes—
144Dic3⋊Dic3C2311yescharacteristic
145Dic3⋊Dic3C2313yes—
146#3722C2313yes—
147#3722C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149(C2×D3)⋊Dic3C2313yes—
150(C2×D3)⋊Dic3C2313yes—
151(C2×D3)⋊Dic3C2313yes—
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—21no—
161C3×C4×Q8—31no—
162C3×C4×Q8—31no—
163C3×C4×Q8—33no—
164C3×C4×Q8—33no—
165C3×C4×Q8—33no—
166C3×C4×Q8—33no—
167C3×C4×Q8C2×D311yescharacteristic
168C3×C4×Q8C2×D311yescharacteristic
169C3×#117—33no—
170C3×#117—33no—
171C2×C3×C4⋊C4—33no—
172C2×C3×C42—33no—
173#946—33no—
174#946—33no—
175#946—33no—
176#946—33no—
177Q8×Dic3—31no—
178Q8×Dic3—31no—
179Q8×Dic3—61no—
180Q8×Dic3C2×D311yescharacteristic
181Q8×Dic3C2×D311yescharacteristic
182#944—33no—
183#944—33no—
184#944—33no—
185#944—33no—
186#930—31no—
187#929—33no—
188#929—33no—
189C4×#67—33no—
190C4×#67—33no—
191C4×#67—33no—
192C4×#67—33no—
193#926—36no—
194#924—33no—
195#924—33no—
196#924—33no—
197#924—33no—
198#924—33no—
199#898—36no—
200#898—36no—
201#898—33no—
202#897—33no—
203#897—33no—
204#897—33no—
205#897—33no—
206#896—33no—
207#894—33no—
208#892—33no—
209#892—33no—
210#892—63no—
211#892C2×D313yes—
212D3×C4⋊C4C2×D313yes—
213#890—33no—
214#890—33no—
215#890—33no—
216#889—36no—
217#889—36no—
218#889—36no—
219#889—36no—
220#889—33no—
221#888—33no—
222#887—33no—
223#887—33no—
224#887—63no—
225#887C2×D313yes—
226#887C2×D313yes—
227#885—33no—
228#884—31no—
229#883—33no—
230#879—36no—
231#879—33no—
232#876—33no—
233#876—33no—
234#876—36no—
235#875—33no—
236C4×D12—33no—
237C4×D12—33no—
238#872—36no—
239#872—33no—
240#872—33no—
241#872—63no—
242#872C2×D313yes—
243C42×D3C2×D313yes—
244#870—33no—
245#870—36no—
246#870—33no—
247#870—36no—
248#869—33no—
249#869—33no—
250#869—33no—
251C4×Dic6—33no—
252C4×Dic6—33no—
253C4×Dic6—36no—
254C4×Dic6—33no—
255C4×Dic6—33no—
256C4×Dic6—36no—
257C4×Dic6—63no—
258C4×Dic6C2×D313yes—
259C4×Dic6C2×D313yes—
260C22×C3⋊D3C2411yescharacteristic
261C22×C3×D3C2411yescharacteristic
262C22×C3×D3C2411yescharacteristic
263C32×Q8#4114yes—
264C2×C32×C4C2413yes—
265C2×C32×C4C2411yescharacteristic
266C2×C32×C4C2413yes—
267C2×C3⋊Dic3C2413yes—
268C2×C3⋊Dic3C2413yes—
269C2×C3⋊Dic3C2411yescharacteristic
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×C4×D3—26no—
279C3×C4×D3—26no—
280C3×C4×D3—26no—
281C3×C4×D3—22no—
282C3×Dic6—26no—
283C3×Dic6—26no—
284#627—26no—
285#626—22no—
286#626—22no—
287#625—22no—
288#557—93no—
289#557—91no—
290#556—93no—
291#552—93no—
292#552—93no—
293D4×Q8—91no—
294D4×Q8—91no—
295D4×Q8—91no—
296#541—93no—
297#541—93no—
298#533—93no—
299#529—93no—
300#519—31no—
301#519—91no—
302C2×C4×Q8—31no—
303C2×C3×Q8—21no—
304C2×C3×Q8—33no—
305C2×C3×Q8—33no—
306C2×C3×Q8—64no—
307C2×C3×Q8—64no—
308C2×C3×Q8C22×D311yescharacteristic
309C2×C3×Q8C22×D311yescharacteristic
310C22×C3×C4—31no—
311C22×C3×C4—33no—
312C22×C3×C4—33no—
313C22×C3×C4—33no—
314C2×#67—31no—
315C2×#67—31no—
316C2×#67—31no—
317C2×#67—31no—
318D3×Q8—24no—
319D3×Q8—24no—
320D3×Q8—68no—
321D3×Q8—64no—
322D3×Q8—64no—
323C2×D12—31no—
324C2×D12—31no—
325C2×C4×D3—33no—
326C2×C4×D3—33no—
327C2×C4×D3—63no—
328C2×C4×D3C22×D311yescharacteristic
329C2×C4×D3C22×D313yes—
330C2×C4×D3C22×D313yes—
331C2×C4×D3C22×D313yes—
332C2×Dic6—33no—
333C2×Dic6—33no—
334C2×Dic6—33no—
335C2×Dic6—33no—
336C2×Dic6—63no—
337C2×Dic6C22×D313yes—
338C2×Dic6C22×D313yes—
339C3×C4⋊C4—23no—
340C3×C4⋊C4—33no—
341C3×C4⋊C4—33no—
342C3×C4⋊C4—33no—
343C3×C4⋊C4—36no—
344C3×C4⋊C4—33no—
345C3×C4⋊C4C22×D313yes—
346C3×C4⋊C4C22×D313yes—
347C3×C22⋊C4—31no—
348C3×C22⋊C4—33no—
349C3×C42—23no—
350C3×C42—33no—
351C3×C42—33no—
352C3×C42—33no—
353C3×C42—36no—
354C3×C42—33no—
355C3×C42C22×D313yes—
356C3×C42C22×D313yes—
357#217—33no—
358#217—33no—
359#217—33no—
360#217—33no—
361(C2×D3)⋊C4—33no—
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×D311yescharacteristic
376(C2×D3)⋊C4C22×D313yes—
377C4⋊Dic3—33no—
378C4⋊Dic3—33no—
379C4⋊Dic3—31no—
380C4⋊Dic3—33no—
381C4⋊Dic3—36no—
382C4⋊Dic3—33no—
383C4⋊Dic3—33no—
384C4⋊Dic3—36no—
385C4⋊Dic3—36no—
386C4⋊Dic3—63no—
387C4⋊Dic3C22×D313yes—
388C4⋊Dic3C22×D313yes—
389Dic3⋊C4—33no—
390Dic3⋊C4—33no—
391Dic3⋊C4—33no—
392Dic3⋊C4—33no—
393Dic3⋊C4—31no—
394Dic3⋊C4—33no—
395Dic3⋊C4—33no—
396Dic3⋊C4—36no—
397Dic3⋊C4—36no—
398Dic3⋊C4—33no—
399Dic3⋊C4—33no—
400Dic3⋊C4—36no—
401Dic3⋊C4—33no—
402Dic3⋊C4—36no—
403Dic3⋊C4—36no—
404Dic3⋊C4—33no—
405Dic3⋊C4—33no—
406Dic3⋊C4—63no—
407Dic3⋊C4—63no—
408Dic3⋊C4C22×D313yes—
409Dic3⋊C4C22×D316yes—
410Dic3⋊C4C22×D313yes—
411C4×Dic3—36no—
412C4×Dic3—36no—
413C4×Dic3—33no—
414C4×Dic3—33no—
415C4×Dic3—66no—
416C4×Dic3—63no—
417C4×Dic3C22×D313yes—
418C4×Dic3C22×D316yes—
419C4×Dic3C22×D313yes—
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—21no—
433C32×C4—23no—
434C32×C4C2×#4116yes—
435C3⋊Dic3—23no—
436C3⋊Dic3—21no—
437C3⋊Dic3—23no—
438C3×Dic3—23no—
439C3×Dic3—23no—
440C3×Dic3—21no—
441C3×Dic3—23no—
442C3×Dic3—23no—
443C3×Dic32−1+412yes—
444C22×Q8—31no—
445C22×Q8—31no—
446C22×Q8—91no—
447C4⋊Q8—93no—
448C4⋊Q8—93no—
449C4⋊Q8—93no—
450C4⋊Q8—93no—
451#126—93no—
452#126—93no—
453#126—96no—
454#126—96no—
455#125—93no—
456#125—96no—
457#125—96no—
458#125—93no—
459#125—96no—
460#125—93no—
461#124—93no—
462#123—93no—
463#123—93no—
464C22⋊Q8—93no—
465C22⋊Q8—93no—
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—33no—
476C4×Q8—33no—
477C4×Q8—33no—
478C4×Q8—93no—
479C4×Q8—96no—
480C4×Q8—91no—
481C4×Q8—93no—
482C4×Q8—93no—
483C4×Q8D3211yescharacteristic
484C4×D4—93no—
485C4×D4—93no—
486C4×D4—93no—
487#117—33no—
488#117—33no—
489#117—96no—
490#117—93no—
491#117—93no—
492C2×C4⋊C4—33no—
493C2×C42—33no—
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#23514yes—
505C3×Q8#23514yes—
506C2×C3×C4—23no—
507C2×C3×C4—23no—
508C2×C3×C4—21no—
509C2×C3×C4—31no—
510C2×C3×C4—33no—
511C2×C3×C4—33no—
512C2×C3×C4—31no—
513C2×C3×C4—33no—
514C2×C3×C4—33no—
515C2×C3×C4—62no—
516C2×C3×C4—66no—
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—
527#67—62no—
528#67—62no—
529C2×Dic3—31no—
530C2×Dic3—31no—
531C2×Dic3—33no—
532C2×Dic3—33no—
533C2×Dic3—33no—
534C2×Dic3—33no—
535C2×Dic3—63no—
536C2×Dic3—61no—
537C2×Dic3—63no—
538C2×Dic3C23×D311yescharacteristic
539C2×Dic3C23×D313yes—
540C2×Dic3C23×D313yes—
541C2×Dic3C23×D313yes—
542C2×Dic3C23×D313yes—
543C2×Dic3C23×D311yescharacteristic
544D12—62no—
545D12—62no—
546C4×D3—26no—
547C4×D3—26no—
548C4×D3—26no—
549C4×D3—22no—
550C4×D3—612no—
551C4×D3—66no—
552C4×D3—66no—
553Dic6—26no—
554Dic6—26no—
555Dic6—66no—
556Dic6—612no—
557Dic6—66no—
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—64no—
569C2×Q8—64no—
570C2×Q8—93no—
571C2×Q8—93no—
572C2×Q8—184no—
573C2×Q8C2×D3211yescharacteristic
574C2×D4—91no—
575C2×D4—91no—
576C2×D4—91no—
577C22×C4—31no—
578C22×C4—33no—
579C22×C4—33no—
580C22×C4—33no—
581C22×C4—93no—
582C4⋊C4—33no—
583C4⋊C4—36no—
584C4⋊C4—33no—
585C4⋊C4—33no—
586C4⋊C4—33no—
587C4⋊C4—96no—
588C4⋊C4—96no—
589C4⋊C4—93no—
590C4⋊C4—93no—
591C4⋊C4—93no—
592C4⋊C4—91no—
593C4⋊C4—96no—
594C4⋊C4—96no—
595C4⋊C4—93no—
596C4⋊C4—93no—
597C4⋊C4—93no—
598C4⋊C4—93no—
599C4⋊C4—93no—
600C4⋊C4C2×D3213yes—
601C22⋊C4—31no—
602C22⋊C4—33no—
603C22⋊C4—93no—
604C22⋊C4—93no—
605C22⋊C4—93no—
606C22⋊C4—93no—
607C22⋊C4—93no—
608C22⋊C4—93no—
609C22⋊C4—91no—
610C22⋊C4—93no—
611C42—33no—
612C42—33no—
613C42—33no—
614C42—36no—
615C42—33no—
616C42—96no—
617C42—93no—
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#101012yes—
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×#23516yes—
657C3×C4C2×#23516yes—
658Dic3—23no—
659Dic3—23no—
660Dic3—23no—
661Dic3—23no—
662Dic3—21no—
663Dic3—66no—
664Dic3—63no—
665Dic3—63no—
666Dic3—63no—
667Dic3—61no—
668Dic3—63no—
669Dic3—61no—
670Dic3—123no—
671Dic3—121no—
672Dic3#100712yes—
673C32#352311yescharacteristic, complemented, Sylow
674C23—31no—
675C23—31no—
676C23—91no—
677Q8—66no—
678Q8—66no—
679Q8—186no—
680Q8—186no—
681Q8#379814yes—
682D4—182no—
683D4—182no—
684D4—182no—
685C2×C4—31no—
686C2×C4—33no—
687C2×C4—31no—
688C2×C4—33no—
689C2×C4—33no—
690C2×C4—33no—
691C2×C4—62no—
692C2×C4—66no—
693C2×C4—66no—
694C2×C4—66no—
695C2×C4—93no—
696C2×C4—91no—
697C2×C4—93no—
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×#23511yescharacteristic
708C2×C3C22×#23511yescharacteristic
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—63no—
735C4—61no—
736C4—183no—
737C4—183no—
738C4—181no—
739C4C2×#379816yes—
740C3—21no—
741C3#8580411yescharacteristic, complemented
742C3#8588411yescharacteristic, complemented
743C2—62no—
744C2—121no—
745C2—361no—
746C2C22×#379811yescharacteristic
747C2D3×#100711yescharacteristic
748C2D3×#101011yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
prime radical#63906C22
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×#5572C2semidirect
3. C3×C4×D3×Q8C2semidirect
4. #10595422C2semidirect
5. Q8×#626C2semidirect
6. Q8×#626C2semidirect
7. Q8×#625C2semidirect
8. #10594595C2semidirect
9. #10594565C2semidirect
10. #10594550C2semidirect
11. #10594333C2semidirect
13. #10593883C2semidirect
14. #10593880C2semidirect
15. #10593873C2semidirect
85. #5572D3semidirect
86. C4×D3×Q8D3semidirect
673. C32#3523semidirect
741. C3#85804semidirect
742. C3#85884semidirect

Maximal subgroups

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

subgroupindex
#105960432
C3×#55722
C3×C4×D3×Q82
#105954222
Q8×#6262
Q8×#6252
#105945952
#105945652
#105945502
#105943332
#105939732
#105938832
#105938802
#105938732
#858843
#858043