Finite Group Databasebeta

← #11910029

Subgroups — #11910029

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#10596298C211yesmaximal, characteristic, complemented
2C3×#5834C211yesmaximal, characteristic, complemented
3C3×#5831C211yesmaximal, characteristic, complemented
4#10595409C211yesmaximal, characteristic, complemented
5Dic3×#239C211yesmaximal, characteristic, complemented
6#10595351C211yesmaximal, characteristic, complemented
7#10595347C211yesmaximal, characteristic, complemented
8#10595253C213yesmaximal, complemented
9#10595217C213yesmaximal, complemented
10#10595199C213yesmaximal, complemented
11#10595173C213yesmaximal, complemented
12#10594995C213yesmaximal, complemented
13#10594984C213yesmaximal, complemented
14#10594934C213yesmaximal, complemented
15#10594853C213yesmaximal, complemented
16#86777—31nomaximal
17#86724—31nomaximal
18C2×C32×#41C2211yescharacteristic
19C2×C3×#239C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21Q8×C3⋊Dic3C2211yescharacteristic
22Q8×C3⋊Dic3C2211yescharacteristic
23D4×C3⋊Dic3C2213yes—
24D4×C3⋊Dic3C2213yes—
25#64135C2213yes—
26C2×C4⋊(C3⋊Dic3)C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×#940C2213yes—
30C3×#938C2213yes—
31C3×#938C2213yes—
32C3×#936C2213yes—
33C3×#930C2213yes—
34C3×C4×#67C2213yes—
35C3×C4×#67C2213yes—
36C3×#924C2213yes—
37#63980C2216yes—
38#67⋊Dic3C2216yes—
39#63970C2213yes—
40#63969C2216yes—
41#63969C2213yes—
42#63962C2216yes—
43#63959C2213yes—
44#63959C2216yes—
45#63957C2216yes—
46#63956C2213yes—
47#63919C2213yes—
48C4×#627C2213yes—
49#63908C2213yes—
50C4×#625C2213yes—
51#63898C2213yes—
52#63893C2213yes—
53Dic3×D12C2213yes—
54#63891C2213yes—
55C4×D3×Dic3C2213yes—
56#63869C2213yes—
57#63869C2213yes—
58#63863C2213yes—
59#63861C2216yes—
60#63861C2211yescharacteristic
61#63856C2213yes—
62#63855C2213yes—
63#63845C2213yes—
64#63843C2213yes—
65Dic3×Dic6C2213yes—
66#63841C2213yes—
67#63841C2213yes—
68C3×#550—31no—
69C3×#548—31no—
70#5834D311yescharacteristic, complemented
71#5831—31no—
72#5831D311yescharacteristic, complemented
73#5827—31no—
74#5827—31no—
75#5827—61no—
76Dic3×#41—31no—
77#5817—31no—
78#5812—31no—
79#5719—33no—
80#5713—33no—
81#5681—33no—
82#5680—33no—
83#5643—33no—
84#5642—33no—
85#5619—33no—
86#5618—33no—
87#5616—33no—
88#5616—33no—
89#5603—33no—
90#5600—33no—
91C4×#239—31no—
92#5572—31no—
93#5569—31no—
94#5569—31no—
95#5565—33no—
96#5557—33no—
97#5541—33no—
98#5538—33no—
99C32×#41—24no—
100C2×C32×Q8C2311yescharacteristic
101C2×C32×D4C2313yes—
102C22×C32×C4C2313yes—
103C22×C3⋊Dic3C2316yes—
104C2×C3×#67C2313yes—
105C2×C3×#67C2313yes—
106C2×C3×#67C2316yes—
107C3×#239—24no—
108C3×D3×Q8—24no—
109C2×C3×D12C2313yes—
110C2×C3×C4×D3C2313yes—
111C2×C3×C4×D3C2313yes—
112C2×C3×Dic6C2313yes—
113C2×#627C2313yes—
114C2×#625C2313yes—
115C2×D3×Dic3C2313yes—
116C2×D3×Dic3C2313yes—
117#3757C2313yes—
118#3757C2313yes—
119C4⋊(C3⋊Dic3)C2313yes—
120C4⋊(C3⋊Dic3)C2313yes—
121C4⋊(C3⋊Dic3)C2313yes—
122C4⋊(C3⋊Dic3)C2311yescharacteristic
123C4×C3⋊Dic3C2313yes—
124C4×C3⋊Dic3C2313yes—
125C3×#217C2316yes—
126C3×#217C2313yes—
127C3×#217C2313yes—
128C3×(C2×D3)⋊C4C2311yescharacteristic
129C3×(C2×D3)⋊C4C2313yes—
130C3×C4⋊Dic3C2313yes—
131C3×C4⋊Dic3C2313yes—
132C3×Dic3⋊C4C2313yes—
133C3×Dic3⋊C4C2311yescharacteristic
134C3×C4×Dic3C2313yes—
135C3×C4×Dic3C2313yes—
136#3724C2313yes—
137#3724C2316yes—
138#3724C2311yescharacteristic
139Dic3⋊Dic3C2313yes—
140Dic3⋊Dic3C2313yes—
141Dic3⋊Dic3C2313yes—
142Dic3⋊Dic3C2313yes—
143(C2×D3)⋊Dic3C2313yes—
144(C2×D3)⋊Dic3C2316yes—
145(C2×D3)⋊Dic3C2311yescharacteristic
146(C2×D3)⋊Dic3C2316yes—
147(C2×D3)⋊Dic3C2311yescharacteristic
148(C2×D3)⋊Dic3C2313yes—
149Dic32C2313yes—
150Dic32C2316yes—
151Dic32C2311yescharacteristic
152#3524—91noSylow
153C2×C3×#41—21no—
154C2×C3×#41—31no—
155C2×C3×#41C2×D311yescharacteristic
156C2×C3×#41C2×D311yescharacteristic
157C22×C3×Q8—31no—
158C2×#239C2×D311yescharacteristic
159C2×D3×Q8C2×D311yescharacteristic
160C3×#127—33no—
161C3×#124—33no—
162C3×C22⋊Q8—33no—
163C3×#121—33no—
164C3×#121—33no—
165C3×#121—33no—
166C3×C4×Q8—31no—
167C3×C4×Q8—31no—
168C3×C4×D4—33no—
169C3×C4×D4—33no—
170#947—33no—
171#946—33no—
172Q8×Dic3—31no—
173Q8×Dic3—31no—
174Q8×Dic3—31no—
175Q8×Dic3—31no—
176Q8×Dic3—33no—
177Q8×Dic3—33no—
178Q8×Dic3—61no—
179Q8×Dic3—61no—
180Q8×Dic3C2×D311yescharacteristic
181Q8×Dic3C2×D311yescharacteristic
182#940C2×D313yes—
183#939—33no—
184#939—36no—
185#939—36no—
186#938—33no—
187#938—33no—
188#938C2×D313yes—
189#938C2×D313yes—
190#936—33no—
191#936—36no—
192#936—33no—
193#936C2×D313yes—
194#935—33no—
195#935—36no—
196#935—36no—
197D4×Dic3—33no—
198D4×Dic3—33no—
199D4×Dic3—33no—
200D4×Dic3—33no—
201D4×Dic3—36no—
202D4×Dic3—33no—
203D4×Dic3—33no—
204D4×Dic3—63no—
205D4×Dic3—63no—
206#930—33no—
207#930C2×D313yes—
208C4×#67—33no—
209C4×#67—33no—
210C4×#67C2×D313yes—
211C4×#67C2×D313yes—
212#926—33no—
213#926—33no—
214#926—33no—
215#926—33no—
216#926—33no—
217#926—63no—
218C2×C4⋊Dic3—33no—
219C2×C4⋊Dic3—33no—
220C2×C4⋊Dic3—63no—
221#924—33no—
222#924C2×D313yes—
223C2×C4×Dic3—33no—
224#898—36no—
225#898—31no—
226#897—33no—
227#893—33no—
228#892—33no—
229#892—33no—
230#890—33no—
231#890—33no—
232#890—33no—
233#889—33no—
234#888—33no—
235#888—33no—
236#887—33no—
237#886—36no—
238#886—33no—
239#885—36no—
240#885—33no—
241#883—36no—
242#883—33no—
243#883—33no—
244#67⋊C4—36no—
245#879—33no—
246#879—33no—
247#879—36no—
248#879—31no—
249#878—33no—
250#877—36no—
251#877—36no—
252C4×D12—33no—
253#872—33no—
254C42×D3—33no—
255#870—33no—
256#870—33no—
257C4×Dic6—33no—
258C4×Dic6—33no—
259C4×Dic6—33no—
260C23×C32C2413yes—
261C22×C3×D3C2413yes—
262C22×C3×D3C2411yescharacteristic
263C32×Q8#4114yes—
264C32×D4—26no—
265C2×C32×C4—26no—
266C2×C32×C4C2411yescharacteristic
267C2×C32×C4C2413yes—
268C2×C3⋊Dic3—46no—
269C2×C3⋊Dic3C2413yes—
270C2×C3⋊Dic3C2411yescharacteristic
271C2×C3⋊Dic3C2411yescharacteristic
272C2×C3⋊Dic3C2413yes—
273C3×#67—43no—
274C3×#67—46no—
275C3×#67—43no—
276C2×C3×Dic3C2411yescharacteristic
277C2×C3×Dic3C2413yes—
278C2×C3×Dic3C2413yes—
279C2×C3×Dic3C2413yes—
280C2×C3×Dic3C2411yescharacteristic
281C2×C3×Dic3C2411yescharacteristic
282C3×D12—26no—
283C3×C4×D3—26no—
284C3×C4×D3—26no—
285C3×Dic6—26no—
286#627—43no—
287#625—43no—
288D3×Dic3—43no—
289D3×Dic3—43no—
290#559—93no—
291#557—91no—
292#555—93no—
293#553—93no—
294#552—93no—
295#550—31no—
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—28no—
306C3×#41—24no—
307C3×#41—24no—
308C3×#41—64no—
309C2×C3×Q8—21no—
310C2×C3×Q8—33no—
311C2×C3×Q8—64no—
312C2×C3×Q8C22×D311yescharacteristic
313C2×C3×Q8C22×D311yescharacteristic
314C2×C3×D4—23no—
315C2×C3×D4—36no—
316C2×C3×D4—33no—
317C2×C3×D4—33no—
318C2×C3×D4—33no—
319C2×C3×D4C22×D313yes—
320C2×C3×D4C22×D313yes—
321C22×C3×C4—23no—
322C22×C3×C4—33no—
323C22×C3×C4—33no—
324C22×C3×C4C22×D313yes—
325C22×C3×C4C22×D313yes—
326C2×#67—33no—
327C2×#67—33no—
328C2×#67C22×D316yes—
329C2×#67C22×D313yes—
330C2×#67C22×D313yes—
331C22×Dic3—36no—
332C22×Dic3—36no—
333C22×Dic3—33no—
334C22×Dic3—33no—
335C22×Dic3—66no—
336#239—24no—
337D3×Q8—24no—
338C2×D12C22×D313yes—
339C2×C4×D3—33no—
340C2×C4×D3—33no—
341C2×C4×D3C22×D313yes—
342C2×C4×D3C22×D313yes—
343C2×Dic6—33no—
344C2×Dic6—33no—
345C2×Dic6C22×D313yes—
346C3×C4⋊C4—33no—
347C3×C4⋊C4—33no—
348C3×C4⋊C4—31no—
349C3×C4⋊C4—33no—
350C3×C22⋊C4—33no—
351C3×C22⋊C4—36no—
352C3×C22⋊C4—33no—
353C3×C22⋊C4—33no—
354C3×C22⋊C4—31no—
355C3×C42—33no—
356C3×C42—33no—
357#217—33no—
358#217—33no—
359#217—33no—
360#217—33no—
361#217—33no—
362#217—36no—
363#217—31no—
364#217—36no—
365#217—31no—
366#217—33no—
367#217—63no—
368#217—63no—
369#217C22×D313yes—
370#217C22×D316yes—
371#217C22×D313yes—
372(C2×D3)⋊C4—31no—
373(C2×D3)⋊C4—33no—
374(C2×D3)⋊C4—36no—
375(C2×D3)⋊C4—36no—
376(C2×D3)⋊C4—33no—
377(C2×D3)⋊C4—31no—
378(C2×D3)⋊C4C22×D313yes—
379(C2×D3)⋊C4C22×D311yescharacteristic
380C4⋊Dic3—33no—
381C4⋊Dic3—33no—
382C4⋊Dic3—33no—
383C4⋊Dic3—33no—
384C4⋊Dic3—31no—
385C4⋊Dic3—33no—
386C4⋊Dic3—31no—
387C4⋊Dic3—33no—
388C4⋊Dic3—33no—
389C4⋊Dic3—33no—
390C4⋊Dic3—33no—
391C4⋊Dic3—33no—
392C4⋊Dic3—63no—
393C4⋊Dic3—63no—
394C4⋊Dic3—63no—
395C4⋊Dic3—61no—
396C4⋊Dic3C22×D313yes—
397C4⋊Dic3C22×D313yes—
398Dic3⋊C4—31no—
399Dic3⋊C4—31no—
400Dic3⋊C4—33no—
401Dic3⋊C4—33no—
402Dic3⋊C4—33no—
403Dic3⋊C4—36no—
404Dic3⋊C4—36no—
405Dic3⋊C4—33no—
406Dic3⋊C4—33no—
407Dic3⋊C4—33no—
408Dic3⋊C4C22×D313yes—
409Dic3⋊C4C22×D311yescharacteristic
410C4×Dic3—33no—
411C4×Dic3—33no—
412C4×Dic3—33no—
413C4×Dic3—33no—
414C4×Dic3—36no—
415C4×Dic3—31no—
416C4×Dic3—33no—
417C4×Dic3—33no—
418C4×Dic3—36no—
419C4×Dic3—31no—
420C4×Dic3—63no—
421C4×Dic3—63no—
422C4×Dic3C22×D313yes—
423C4×Dic3C22×D313yes—
424C22×C32—23no—
425C22×C32—23no—
426C22×C32—23no—
427C22×C32C2511yescharacteristic
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×C4C2×#4116yes—
436C3⋊Dic3—21no—
437C3⋊Dic3—23no—
438C3⋊Dic3—23no—
439C3⋊Dic3—21no—
440C3×Dic3—23no—
441C3×Dic3—21no—
442C3×Dic3—21no—
443C3×Dic3—23no—
444C3×Dic3—23no—
445C3×Dic3—21no—
446C2×#41—31no—
447C2×#41D3211yescharacteristic
448C22×Q8—31no—
449C4⋊Q8—93no—
450#127—33no—
451#126—93no—
452#126—91no—
453#126—96no—
454#125—93no—
455#125—93no—
456#125—93no—
457#124—33no—
458#124—93no—
459#124—96no—
460#124—93no—
461#123—93no—
462#123—96no—
463#123—93no—
464#123—96no—
465C22⋊Q8—33no—
466C22⋊Q8—93no—
467C22⋊Q8—93no—
468#121—33no—
469#121—33no—
470#121—33no—
471#121—93no—
472#121—93no—
473#121—96no—
474C4×Q8—31no—
475C4×Q8—31no—
476C4×Q8—93no—
477C4×Q8—93no—
478C4×Q8—93no—
479C4×Q8—91no—
480C4×Q8—91no—
481C4×D4—33no—
482C4×D4—33no—
483C4×D4—93no—
484C4×D4—96no—
485C4×D4—93no—
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—23no—
497C23×C3—33no—
498C23×C3—31no—
499C23×C3C23×D313yes—
500C23×C3C23×D313yes—
501C22×D3C23×D313yes—
502C22×D3C23×D311yescharacteristic
503C3×Q8—24no—
504C3×Q8—66no—
505C3×Q8#23714yes—
506C3×Q8#23714yes—
507C3×D4—212no—
508C3×D4—26no—
509C3×D4—26no—
510C3×D4—66no—
511C3×D4—126no—
512C3×D4—123no—
513C3×D4—123no—
514C2×C3×C4—212no—
515C2×C3×C4—26no—
516C2×C3×C4—26no—
517C2×C3×C4—23no—
518C2×C3×C4—21no—
519C2×C3×C4—31no—
520C2×C3×C4—33no—
521C2×C3×C4—33no—
522C2×C3×C4—31no—
523C2×C3×C4—33no—
524C2×C3×C4—31no—
525C2×C3×C4—66no—
526C2×C3×C4—66no—
527C2×C3×C4C23×D311yescharacteristic
528C2×C3×C4C23×D311yescharacteristic
529C2×C3×C4C23×D313yes—
530C2×C3×C4C23×D313yes—
531#67—43no—
532#67—43no—
533#67—46no—
534#67—123no—
535#67—123no—
536C2×Dic3—31no—
537C2×Dic3—33no—
538C2×Dic3—33no—
539C2×Dic3—31no—
540C2×Dic3—31no—
541C2×Dic3—31no—
542C2×Dic3—33no—
543C2×Dic3—33no—
544C2×Dic3—61no—
545C2×Dic3—61no—
546C2×Dic3—63no—
547C2×Dic3—63no—
548C2×Dic3—123no—
549C2×Dic3—123no—
550C2×Dic3—126no—
551C2×Dic3—126no—
552C2×Dic3—246no—
553C2×Dic3C23×D311yescharacteristic
554C2×Dic3C23×D313yes—
555C2×Dic3C23×D313yes—
556C2×Dic3C23×D311yescharacteristic
557C2×Dic3C23×D313yes—
558C2×Dic3C23×D311yescharacteristic
559D12—26no—
560C4×D3—26no—
561C4×D3—26no—
562C4×D3—123no—
563C4×D3—123no—
564Dic6—26no—
565Dic6—123no—
566Dic6—123no—
567C2×C32—43no—
568C2×C32C22×#4111yescharacteristic
569C2×C32#58511yescharacteristic
570C2×C32#58511yescharacteristic
571C3×D3—41no—
572C3×D3—43no—
573#41—24no—
574#41—64no—
575C2×Q8—33no—
576C2×Q8—64no—
577C2×Q8—93no—
578C2×Q8C2×D3211yescharacteristic
579C2×D4—33no—
580C2×D4—33no—
581C2×D4—36no—
582C2×D4—33no—
583C2×D4—93no—
584C2×D4C2×D3213yes—
585C22×C4—33no—
586C22×C4—33no—
587C22×C4—93no—
588C22×C4—93no—
589C22×C4—96no—
590C22×C4C2×D3213yes—
591C4⋊C4—33no—
592C4⋊C4—33no—
593C4⋊C4—31no—
594C4⋊C4—33no—
595C4⋊C4—93no—
596C4⋊C4—93no—
597C4⋊C4—93no—
598C4⋊C4—96no—
599C4⋊C4—93no—
600C4⋊C4—91no—
601C4⋊C4—93no—
602C4⋊C4—93no—
603C4⋊C4—93no—
604C4⋊C4—93no—
605C4⋊C4—91no—
606C22⋊C4—33no—
607C22⋊C4—36no—
608C22⋊C4—33no—
609C22⋊C4—31no—
610C22⋊C4—33no—
611C22⋊C4—91no—
612C22⋊C4—93no—
613C22⋊C4—96no—
614C22⋊C4—91no—
615C22⋊C4—96no—
616C22⋊C4—93no—
617C22⋊C4—93no—
618C22⋊C4—93no—
619C42—33no—
620C42—33no—
621C42—91no—
622C42—93no—
623C42—96no—
624C42—93no—
625C42—93no—
626C22×C3—26no—
627C22×C3—23no—
628C22×C3—23no—
629C22×C3—23no—
630C22×C3—23no—
631C22×C3—23no—
632C22×C3—23no—
633C22×C3—21no—
634C22×C3—43no—
635C22×C3—43no—
636C22×C3—61no—
637C22×C3—63no—
638C22×C3—63no—
639C22×C3—61no—
640C22×C3—61no—
641C22×C3—63no—
642C22×C3C24×D311yescharacteristic
643C22×C3C24×D311yescharacteristic
644C2×D3—21no—
645C2×D3—23no—
646C2×D3—23no—
647C2×D3—21no—
648C2×D3—23no—
649C2×D3—21no—
650C3×C4—22no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—26no—
654C3×C4—61no—
655C3×C4—63no—
656C3×C4—63no—
657C3×C4—61no—
658C3×C4—63no—
659C3×C4—61no—
660C3×C4C2×#23716yes—
661C3×C4C2×#23716yes—
662Dic3—23no—
663Dic3—21no—
664Dic3—23no—
665Dic3—21no—
666Dic3—23no—
667Dic3—21no—
668Dic3—61no—
669Dic3—63no—
670Dic3—61no—
671Dic3—63no—
672Dic3—61no—
673Dic3—61no—
674Dic3—63no—
675Dic3—63no—
676Dic3—123no—
677Dic3—123no—
678Dic3—121no—
679Dic3—121no—
680C32#352411yescharacteristic, complemented, Sylow
681C23—31no—
682C23—33no—
683C23C22×D3213yes—
684Q8—66no—
685Q8—363no—
686Q8#380514yes—
687D4—26no—
688D4—66no—
689D4—123no—
690D4—126no—
691D4—123no—
692D4—363no—
693C2×C4—26no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—33no—
697C2×C4—33no—
698C2×C4—31no—
699C2×C4—33no—
700C2×C4—66no—
701C2×C4—66no—
702C2×C4—91no—
703C2×C4—93no—
704C2×C4—91no—
705C2×C4—93no—
706C2×C4—363no—
707C2×C4—363no—
708C2×C4—366no—
709C2×C4C22×D3211yescharacteristic
710C2×C4C22×D3213yes—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—46no—
715C2×C3—43no—
716C2×C3—43no—
717C2×C3—123no—
718C2×C3—121no—
719C2×C3C22×#23711yescharacteristic
720C2×C3C22×#23711yescharacteristic
721C2×C3#596411yescharacteristic
722C2×C3#596411yescharacteristic
723C2×C3#596611yescharacteristic
724C2×C3#596811yescharacteristic
725D3—41no—
726D3—43no—
727C22—23no—
728C22—23no—
729C22—23no—
730C22—63no—
731C22—61no—
732C22—63no—
733C22—61no—
734C22—61no—
735C22—63no—
736C22C23×D3211yescharacteristic
737C4—21no—
738C4—63no—
739C4—63no—
740C4—61no—
741C4—61no—
742C4—61no—
743C4—63no—
744C4—181no—
745C4—181no—
746C4—183no—
747C4—183no—
748C4C2×#380516yes—
749C3—21no—
750C3#8672411yescharacteristic, complemented
751C3#8677711yescharacteristic, complemented
752C2—43no—
753C2—123no—
754C2—121no—
755C2#1059669611yescharacteristic
756C2#1059669711yescharacteristic
757C2C22×#380511yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×#41C22
hypercenterC2×#41D32
hypocenterC32#3524
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. #10596298C2semidirect
2. C3×#5834C2semidirect
3. C3×#5831C2semidirect
4. #10595409C2semidirect
5. Dic3×#239C2semidirect
6. #10595351C2semidirect
7. #10595347C2semidirect
8. #10595253C2semidirect
9. #10595217C2semidirect
10. #10595199C2semidirect
11. #10595173C2semidirect
12. #10594995C2semidirect
13. #10594984C2semidirect
14. #10594934C2semidirect
15. #10594853C2semidirect
70. #5834D3semidirect
72. #5831D3semidirect
680. C32#3524semidirect
750. C3#86724semidirect
751. C3#86777semidirect

Maximal subgroups

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

subgroupindex
#105962982
C3×#58342
C3×#58312
#105954092
Dic3×#2392
#105953512
#105953472
#105952532
#105952172
#105951992
#105951732
#105949952
#105949842
#105949342
#105948532
#867773
#867243