Finite Group Databasebeta

← #11910035

Subgroups — #11910035

Order 1152.

2207 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596045C211yesmaximal, characteristic, complemented
2C3×#5576C211yesmaximal, characteristic, complemented
3C3×#5570C211yesmaximal, characteristic, complemented
4#10595410C211yesmaximal, characteristic, complemented
5Dic3×#239C211yesmaximal, characteristic, complemented
6#10595347C211yesmaximal, characteristic, complemented
7#10595342C211yesmaximal, characteristic, complemented
8#10594579C213yesmaximal, complemented
9#10594501C213yesmaximal, complemented
10#10594489C213yesmaximal, complemented
11#10594453C213yesmaximal, complemented
12#10593987C213yesmaximal, complemented
13#10593955C213yesmaximal, complemented
14#10593939C213yesmaximal, complemented
15#10593911C213yesmaximal, complemented
16#87026—31nomaximal
17#86723—31nomaximal
18C2×#3832C2211yescharacteristic
19C2×C3×#239C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21C32×C4×Q8C2211yescharacteristic
22Q8×C3⋊Dic3C2211yescharacteristic
23#64102C2213yes—
24C4⋊C4×C3⋊D3C2213yes—
25C4×C4⋊(C3⋊D3)C2213yes—
26#64081C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×#897C2213yes—
30C3×#895C2213yes—
31C3×#890C2213yes—
32C3×#890C2213yes—
33C3×#875C2213yes—
34C3×C4×D12C2213yes—
35C3×#869C2213yes—
36C3×C4×Dic6C2213yes—
37#63916C2213yes—
38#63916C2216yes—
39#63911C2213yes—
40#63909C2213yes—
41#63909C2213yes—
42#63907C2213yes—
43#63907C2216yes—
44C4×#626C2213yes—
45C4×#626C2213yes—
46#63898C2213yes—
47Dic3×D12C2213yes—
48#63890C2213yes—
49#63890C2216yes—
50#63887C2213yes—
51#63886C2213yes—
52#63884C2213yes—
53#63881C2216yes—
54C4×D3×Dic3C2213yes—
55#63871C2213yes—
56#63864C2213yes—
57#63858C2216yes—
58#63858C2211yescharacteristic
59#63855C2213yes—
60#63853C2216yes—
61#63849C2216yes—
62#63848C2213yes—
63#63846C2213yes—
64#63843C2213yes—
65Dic3×Dic6C2213yes—
66#63841C2213yes—
67#63841C2213yes—
68C3×#557—31no—
69C3×#548—31no—
70#5834—31no—
71Dic3×#41—31no—
72#5817—31no—
73#5812—31no—
74#5734—33no—
75#5733—33no—
76#5697—33no—
77#5695—33no—
78#5694—33no—
79#5691—33no—
80#5682—33no—
81#5681—33no—
82#5639—33no—
83#5624—33no—
84#5619—33no—
85#5614—33no—
86#5585—33no—
87#5580—33no—
88#5577—31no—
89#5576—31no—
90#5576D311yescharacteristic, complemented
91#5574—31no—
92#5574—31no—
93#5574—61no—
94C4×#239—31no—
95#5572—31no—
96#5570D311yescharacteristic, complemented
97#5563—33no—
98#5538—33no—
99C2×C32×Q8C2311yescharacteristic
100#3832—24no—
101C2×C4⋊(C3⋊D3)C2313yes—
102C2×C4×C3⋊D3C2313yes—
103C2×C4×C3⋊D3C2316yes—
104C3×#239—24no—
105C3×D3×Q8—24no—
106C2×C3×D12C2313yes—
107C2×C3×D12C2313yes—
108C2×C3×C4×D3C2313yes—
109C2×C3×C4×D3C2313yes—
110C2×C3×Dic6C2313yes—
111C2×C3×Dic6C2313yes—
112C2×#626C2313yes—
113C2×#626C2316yes—
114C2×#626C2313yes—
115C2×D3×Dic3C2313yes—
116C2×D3×Dic3C2313yes—
117C32×C4⋊C4C2313yes—
118C32×C42C2313yes—
119#3752C2313yes—
120#3752C2313yes—
121C4⋊(C3⋊Dic3)C2313yes—
122#3750C2311yescharacteristic
123#3750C2313yes—
124C4×C3⋊Dic3C2313yes—
125C3×(C2×D3)⋊C4C2316yes—
126C3×(C2×D3)⋊C4C2311yescharacteristic
127C3×(C2×D3)⋊C4C2313yes—
128C3×C4⋊Dic3C2316yes—
129C3×C4⋊Dic3C2313yes—
130C3×C4⋊Dic3C2313yes—
131C3×C4⋊Dic3C2313yes—
132C3×C4⋊Dic3C2311yescharacteristic
133C3×Dic3⋊C4C2313yes—
134C3×Dic3⋊C4C2313yes—
135C3×C4×Dic3C2313yes—
136C3×C4×Dic3C2313yes—
137Dic3⋊Dic3C2313yes—
138Dic3⋊Dic3C2313yes—
139Dic3⋊Dic3C2311yescharacteristic
140Dic3⋊Dic3C2313yes—
141#3722C2313yes—
142#3722C2313yes—
143#3722C2316yes—
144(C2×D3)⋊Dic3C2313yes—
145(C2×D3)⋊Dic3C2316yes—
146(C2×D3)⋊Dic3C2311yescharacteristic
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2311yescharacteristic
149Dic32C2313yes—
150Dic32C2316yes—
151Dic32C2311yescharacteristic
152#3524—91noSylow
153C2×C3×#41—31no—
154C22×C3×Q8—31no—
155C2×#239—31no—
156C2×#239—31no—
157C2×#239—61no—
158C2×#239C2×D311yescharacteristic
159C2×D3×Q8C2×D311yescharacteristic
160C3×C4⋊Q8—33no—
161C3×#125—33no—
162C3×#125—33no—
163C3×#124—33no—
164C3×C22⋊Q8—33no—
165C3×#121—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—36no—
174#947—33no—
175#947—33no—
176#946—33no—
177#946—33no—
178Q8×Dic3—31no—
179Q8×Dic3—31no—
180Q8×Dic3—33no—
181Q8×Dic3—33no—
182Q8×Dic3—61no—
183Q8×Dic3C2×D311yescharacteristic
184Q8×Dic3C2×D311yescharacteristic
185#940—33no—
186#939—33no—
187#938—33no—
188#938—36no—
189#935—33no—
190D4×Dic3—33no—
191D4×Dic3—33no—
192#930—33no—
193#930—33no—
194C4×#67—33no—
195C4×#67—33no—
196#926—33no—
197#926—33no—
198#926—33no—
199C2×C4×Dic3—33no—
200#898—36no—
201#898—31no—
202#898—33no—
203#898—33no—
204#897—33no—
205#897C2×D313yes—
206#895—36no—
207#895—33no—
208#895—33no—
209#895—33no—
210#895—33no—
211#895C2×D313yes—
212#894—33no—
213#894—36no—
214#894—36no—
215#894—33no—
216#893—33no—
217#893—33no—
218#893—33no—
219#893—36no—
220#893—63no—
221#892—33no—
222#892—33no—
223#892—36no—
224#892—36no—
225D3×C4⋊C4—33no—
226D3×C4⋊C4—33no—
227D3×C4⋊C4—63no—
228#890—33no—
229#890C2×D313yes—
230#890C2×D313yes—
231#889—33no—
232#887—33no—
233#886—33no—
234#886—36no—
235#885—36no—
236#885—33no—
237#883—36no—
238#67⋊C4—36no—
239#879—36no—
240#879—31no—
241#878—33no—
242#875—33no—
243#875C2×D313yes—
244#874—33no—
245C4×D12—33no—
246C4×D12—33no—
247C4×D12—33no—
248C4×D12—33no—
249C4×D12—33no—
250C4×D12—63no—
251C4×D12C2×D313yes—
252#872—33no—
253#872—33no—
254#872—33no—
255#872—63no—
256C42×D3—33no—
257#869C2×D313yes—
258C4×Dic6—33no—
259C4×Dic6C2×D313yes—
260C22×C3⋊D3C2413yes—
261C22×C3×D3C2411yescharacteristic
262C22×C3×D3C2413yes—
263C32×Q8#4114yes—
264C2×C32×C4C2413yes—
265C2×C32×C4C2411yescharacteristic
266C2×C32×C4C2413yes—
267C2×C3⋊Dic3C2413yes—
268C2×C3⋊Dic3C2411yescharacteristic
269C2×C3⋊Dic3C2411yescharacteristic
270C4⋊(C3⋊D3)—26no—
271C4×C3⋊D3—26no—
272C4×C3⋊D3—46no—
273C2×C3×Dic3C2411yescharacteristic
274C2×C3×Dic3C2413yes—
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2413yes—
277C2×C3×Dic3C2411yescharacteristic
278C2×C3×Dic3C2411yescharacteristic
279C3×D12—26no—
280C3×D12—43no—
281C3×C4×D3—26no—
282C3×C4×D3—26no—
283C3×Dic6—26no—
284C3×Dic6—43no—
285#626—43no—
286#626—43no—
287#626—46no—
288D3×Dic3—43no—
289D3×Dic3—43no—
290#559—93no—
291#557—31no—
292#555—93no—
293#553—93no—
294#552—93no—
295#550—91no—
296#548—31no—
297#548—91no—
298#542—93no—
299#540—93no—
300#529—93no—
301#529—93no—
302#520—91no—
303#519—91no—
304C4×#41—91no—
305C3×#41—64no—
306C2×C3×Q8—21no—
307C2×C3×Q8—33no—
308C2×C3×Q8—33no—
309C2×C3×Q8—64no—
310C2×C3×Q8C22×D311yescharacteristic
311C2×C3×Q8C22×D311yescharacteristic
312C2×C3×D4—33no—
313C2×C3×D4—33no—
314C22×C3×C4—33no—
315C22×C3×C4—33no—
316C2×#67—36no—
317C2×#67—33no—
318C2×#67—33no—
319C22×Dic3—33no—
320C22×Dic3—33no—
321#239—24no—
322#239—68no—
323#239—64no—
324#239—64no—
325D3×Q8—24no—
326C2×D12—33no—
327C2×D12—33no—
328C2×D12—33no—
329C2×D12—33no—
330C2×D12—36no—
331C2×D12—63no—
332C2×D12C22×D313yes—
333C2×D12C22×D313yes—
334C2×C4×D3—33no—
335C2×C4×D3—33no—
336C2×C4×D3—33no—
337C2×C4×D3—33no—
338C2×C4×D3—36no—
339C2×C4×D3—36no—
340C2×C4×D3—63no—
341C2×C4×D3—66no—
342C2×C4×D3C22×D313yes—
343C2×C4×D3C22×D313yes—
344C2×Dic6C22×D313yes—
345C2×Dic6C22×D313yes—
346C3×C4⋊C4—23no—
347C3×C4⋊C4—33no—
348C3×C4⋊C4—33no—
349C3×C4⋊C4—33no—
350C3×C4⋊C4—33no—
351C3×C4⋊C4—36no—
352C3×C4⋊C4—33no—
353C3×C4⋊C4—31no—
354C3×C4⋊C4C22×D313yes—
355C3×C4⋊C4C22×D313yes—
356C3×C22⋊C4—33no—
357C3×C22⋊C4—36no—
358C3×C22⋊C4—31no—
359C3×C42—23no—
360C3×C42—33no—
361C3×C42—33no—
362C3×C42C22×D313yes—
363C3×C42C22×D313yes—
364#217—33no—
365#217—36no—
366#217—31no—
367#217—31no—
368#217—33no—
369(C2×D3)⋊C4—31no—
370(C2×D3)⋊C4—33no—
371(C2×D3)⋊C4—31no—
372(C2×D3)⋊C4—36no—
373(C2×D3)⋊C4—33no—
374(C2×D3)⋊C4—33no—
375(C2×D3)⋊C4—33no—
376(C2×D3)⋊C4—33no—
377(C2×D3)⋊C4—33no—
378(C2×D3)⋊C4—33no—
379(C2×D3)⋊C4—33no—
380(C2×D3)⋊C4—36no—
381(C2×D3)⋊C4—33no—
382(C2×D3)⋊C4—36no—
383(C2×D3)⋊C4—33no—
384(C2×D3)⋊C4—63no—
385(C2×D3)⋊C4—63no—
386(C2×D3)⋊C4C22×D311yescharacteristic
387(C2×D3)⋊C4C22×D313yes—
388(C2×D3)⋊C4C22×D316yes—
389C4⋊Dic3—33no—
390C4⋊Dic3—33no—
391C4⋊Dic3—31no—
392C4⋊Dic3—33no—
393C4⋊Dic3—33no—
394C4⋊Dic3—33no—
395C4⋊Dic3—63no—
396C4⋊Dic3C22×D311yescharacteristic
397C4⋊Dic3C22×D316yes—
398C4⋊Dic3C22×D313yes—
399C4⋊Dic3C22×D313yes—
400C4⋊Dic3C22×D313yes—
401Dic3⋊C4—31no—
402Dic3⋊C4—31no—
403Dic3⋊C4—33no—
404Dic3⋊C4—33no—
405Dic3⋊C4—33no—
406Dic3⋊C4—33no—
407Dic3⋊C4—33no—
408Dic3⋊C4—31no—
409Dic3⋊C4—61no—
410Dic3⋊C4—63no—
411Dic3⋊C4C22×D313yes—
412Dic3⋊C4C22×D313yes—
413C4×Dic3—33no—
414C4×Dic3—33no—
415C4×Dic3—36no—
416C4×Dic3—31no—
417C4×Dic3—33no—
418C4×Dic3—36no—
419C4×Dic3—31no—
420C4×Dic3—33no—
421C4×Dic3—63no—
422C4×Dic3C22×D313yes—
423C4×Dic3C22×D313yes—
424C22×C32C2511yescharacteristic
425C2×C3⋊D3—23no—
426C2×C3⋊D3—23no—
427C2×C3⋊D3—23no—
428C2×C3×D3—21no—
429C2×C3×D3—23no—
430C2×C3×D3—23no—
431C2×C3×D3—23no—
432C2×C3×D3—21no—
433C2×C3×D3—21no—
434C32×C4—21no—
435C32×C4—23no—
436C32×C4C2×#4116yes—
437C3⋊Dic3—21no—
438C3⋊Dic3—21no—
439C3⋊Dic3—23no—
440C3×Dic3—23no—
441C3×Dic3—21no—
442C3×Dic3—21no—
443C3×Dic3—23no—
444C3×Dic3—21no—
445C3×Dic3—23no—
446C2×#41—31no—
447C2×#41—91no—
448C22×Q8—31no—
449C4⋊Q8—33no—
450#127—93no—
451#126—91no—
452#126—96no—
453#126—93no—
454#125—33no—
455#125—33no—
456#125—93no—
457#124—33no—
458#124—93no—
459#124—93no—
460#124—96no—
461#123—96no—
462#123—93no—
463#123—96no—
464#123—93no—
465C22⋊Q8—33no—
466C22⋊Q8—93no—
467C22⋊Q8—93no—
468#121—33no—
469#121—93no—
470#121—93no—
471#121—93no—
472#121—96no—
473#121—93no—
474C4×Q8—31no—
475C4×Q8—31no—
476C4×Q8—33no—
477C4×Q8—93no—
478C4×Q8—93no—
479C4×Q8—91no—
480C4×Q8D3211yescharacteristic
481C4×D4—33no—
482C4×D4—93no—
483C4×D4—93no—
484C4×D4—93no—
485C4×D4—96no—
486C4×D4—93no—
487C4×D4—93no—
488C4×D4—93no—
489#117—93no—
490#117—96no—
491#117—93no—
492#117—93no—
493#117—93no—
494C2×C4⋊C4—93no—
495C2×C42—93no—
496C23×C3—31no—
497C23×C3—33no—
498C22×D3—33no—
499C22×D3—33no—
500C22×D3—63no—
501C22×D3C23×D311yescharacteristic
502C22×D3C23×D313yes—
503C3×Q8—24no—
504C3×Q8—66no—
505C3×Q8—123no—
506C3×Q8#23714yes—
507C3×Q8#23914yes—
508C3×D4—66no—
509C3×D4—123no—
510C2×C3×C4—23no—
511C2×C3×C4—21no—
512C2×C3×C4—23no—
513C2×C3×C4—31no—
514C2×C3×C4—33no—
515C2×C3×C4—33no—
516C2×C3×C4—33no—
517C2×C3×C4—31no—
518C2×C3×C4—31no—
519C2×C3×C4—66no—
520C2×C3×C4—66no—
521C2×C3×C4C23×D313yes—
522C2×C3×C4C23×D311yescharacteristic
523C2×C3×C4C23×D313yes—
524C2×C3×C4C23×D311yescharacteristic
525C2×C3×C4C23×D313yes—
526C2×C3×C4C23×D313yes—
527#67—123no—
528#67—126no—
529#67—123no—
530C2×Dic3—31no—
531C2×Dic3—33no—
532C2×Dic3—31no—
533C2×Dic3—33no—
534C2×Dic3—31no—
535C2×Dic3—31no—
536C2×Dic3—61no—
537C2×Dic3—61no—
538C2×Dic3—63no—
539C2×Dic3—123no—
540C2×Dic3—123no—
541C2×Dic3C23×D311yescharacteristic
542C2×Dic3C23×D313yes—
543C2×Dic3C23×D313yes—
544C2×Dic3C23×D311yescharacteristic
545C2×Dic3C23×D313yes—
546C2×Dic3C23×D311yescharacteristic
547D12—26no—
548D12—43no—
549D12—612no—
550D12—66no—
551D12—66no—
552D12—123no—
553D12—123no—
554D12—126no—
555C4×D3—26no—
556C4×D3—26no—
557C4×D3—612no—
558C4×D3—66no—
559C4×D3—66no—
560C4×D3—126no—
561C4×D3—126no—
562C4×D3—123no—
563C4×D3—123no—
564C4×D3—246no—
565Dic6—26no—
566Dic6—43no—
567C2×C32C22×#4111yescharacteristic
568C2×C32#58511yescharacteristic
569C2×C32#58511yescharacteristic
570C3⋊D3—43no—
571C3×D3—41no—
572C3×D3—43no—
573#41—64no—
574#41—184no—
575C2×Q8—33no—
576C2×Q8—33no—
577C2×Q8—64no—
578C2×Q8C2×D3211yescharacteristic
579C2×D4—33no—
580C2×D4—33no—
581C2×D4—93no—
582C2×D4—96no—
583C2×D4—93no—
584C2×D4—93no—
585C22×C4—33no—
586C22×C4—33no—
587C22×C4—93no—
588C22×C4—93no—
589C22×C4—93no—
590C22×C4—96no—
591C4⋊C4—33no—
592C4⋊C4—33no—
593C4⋊C4—33no—
594C4⋊C4—36no—
595C4⋊C4—33no—
596C4⋊C4—31no—
597C4⋊C4—33no—
598C4⋊C4—93no—
599C4⋊C4—93no—
600C4⋊C4—91no—
601C4⋊C4—93no—
602C4⋊C4—93no—
603C4⋊C4—93no—
604C4⋊C4—91no—
605C4⋊C4C2×D3213yes—
606C22⋊C4—31no—
607C22⋊C4—33no—
608C22⋊C4—36no—
609C22⋊C4—93no—
610C22⋊C4—96no—
611C22⋊C4—93no—
612C22⋊C4—91no—
613C22⋊C4—93no—
614C22⋊C4—96no—
615C22⋊C4—91no—
616C22⋊C4—93no—
617C22⋊C4—93no—
618C22⋊C4—93no—
619C42—33no—
620C42—33no—
621C42—91no—
622C42—93no—
623C42—96no—
624C42—93no—
625C42C2×D3213yes—
626C22×C3—21no—
627C22×C3—61no—
628C22×C3—63no—
629C22×C3—63no—
630C22×C3—61no—
631C22×C3—63no—
632C22×C3—61no—
633C22×C3C24×D311yescharacteristic
634C22×C3C24×D311yescharacteristic
635C2×D3—21no—
636C2×D3—23no—
637C2×D3—23no—
638C2×D3—21no—
639C2×D3—23no—
640C2×D3—21no—
641C2×D3—66no—
642C2×D3—63no—
643C2×D3—63no—
644C2×D3—63no—
645C2×D3—63no—
646C2×D3—63no—
647C2×D3—63no—
648C2×D3—123no—
649C2×D3—123no—
650C3×C4—21no—
651C3×C4—23no—
652C3×C4—23no—
653C3×C4—21no—
654C3×C4—26no—
655C3×C4—43no—
656C3×C4—41no—
657C3×C4—61no—
658C3×C4—63no—
659C3×C4—61no—
660C3×C4—61no—
661C3×C4—63no—
662C3×C4—63no—
663C3×C4C2×#23716yes—
664C3×C4C2×#23916yes—
665Dic3—23no—
666Dic3—21no—
667Dic3—23no—
668Dic3—23no—
669Dic3—21no—
670Dic3—21no—
671Dic3—62no—
672Dic3—61no—
673Dic3—61no—
674Dic3—63no—
675Dic3—61no—
676Dic3—61no—
677Dic3—63no—
678Dic3—123no—
679Dic3—121no—
680C32#352411yescharacteristic, complemented, Sylow
681C23—33no—
682C23—31no—
683C23—93no—
684Q8—66no—
685Q8—123no—
686Q8#379614yes—
687D4—66no—
688D4—123no—
689D4—186no—
690D4—363no—
691D4—366no—
692D4—363no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—33no—
696C2×C4—33no—
697C2×C4—31no—
698C2×C4—33no—
699C2×C4—66no—
700C2×C4—66no—
701C2×C4—91no—
702C2×C4—93no—
703C2×C4—91no—
704C2×C4—186no—
705C2×C4—366no—
706C2×C4—363no—
707C2×C4—363no—
708C2×C4C22×D3211yescharacteristic
709C2×C4C22×D3213yes—
710C2×C4C22×D3213yes—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—121no—
715C2×C3—123no—
716C2×C3C22×#23711yescharacteristic
717C2×C3C22×#23911yescharacteristic
718C2×C3#596411yescharacteristic
719C2×C3#596411yescharacteristic
720C2×C3#596811yescharacteristic
721C2×C3#596811yescharacteristic
722D3—41no—
723D3—43no—
724D3—126no—
725D3—123no—
726D3—123no—
727C22—61no—
728C22—63no—
729C22—63no—
730C22—61no—
731C22—63no—
732C22—61no—
733C22—183no—
734C22—183no—
735C22—183no—
736C22C23×D3211yescharacteristic
737C4—21no—
738C4—23no—
739C4—61no—
740C4—63no—
741C4—63no—
742C4—63no—
743C4—61no—
744C4—61no—
745C4—181no—
746C4—181no—
747C4—183no—
748C4C2×#379616yes—
749C3—21no—
750C3#8672311yescharacteristic, complemented
751C3#8702611yescharacteristic, complemented
752C2—121no—
753C2—123no—
754C2—363no—
755C2C22×#379611yescharacteristic
756C2#1059668811yescharacteristic
757C2#1059669711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
hypercenterC4×Q8D32
hypocenterC32#3524
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. #10596045C2semidirect
2. C3×#5576C2semidirect
3. C3×#5570C2semidirect
4. #10595410C2semidirect
5. Dic3×#239C2semidirect
6. #10595347C2semidirect
7. #10595342C2semidirect
8. #10594579C2semidirect
9. #10594501C2semidirect
10. #10594489C2semidirect
11. #10594453C2semidirect
12. #10593987C2semidirect
13. #10593955C2semidirect
14. #10593939C2semidirect
15. #10593911C2semidirect
90. #5576D3semidirect
96. #5570D3semidirect
680. C32#3524semidirect
750. C3#86723semidirect
751. C3#87026semidirect

Maximal subgroups

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

subgroupindex
#105960452
C3×#55762
C3×#55702
#105954102
Dic3×#2392
#105953472
#105953422
#105945792
#105945012
#105944892
#105944532
#105939872
#105939552
#105939392
#105939112
#870263
#867233