Finite Group Databasebeta

← #11910038

Subgroups — #11910038

Order 1152.

2193 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596283C211yesmaximal, characteristic, complemented
2C3×#5817C211yesmaximal, characteristic, complemented
3C3×#5817C211yesmaximal, characteristic, complemented
4#10595422C211yesmaximal, characteristic, complemented
5#10595412C211yesmaximal, characteristic, complemented
6#10595396C213yesmaximal, complemented
7#10595394C211yesmaximal, characteristic, complemented
8#10595392C213yesmaximal, complemented
9Dic3×#239C211yesmaximal, characteristic, complemented
10#10595380C213yesmaximal, complemented
11#10595377C213yesmaximal, complemented
12#10595041C213yesmaximal, complemented
13#10595026C213yesmaximal, complemented
14#10594945C213yesmaximal, complemented
15#10594934C213yesmaximal, complemented
16#86724—31nomaximal
17#86723—31nomaximal
18C22×C32×Q8C2211yescharacteristic
19C2×C3×#239C2211yescharacteristic
20C2×C3×#239C2211yescharacteristic
21Q8×C3⋊Dic3C2213yes—
22Q8×C3⋊Dic3C2213yes—
23Q8×C3⋊Dic3C2211yescharacteristic
24Q8×C3⋊Dic3C2211yescharacteristic
25#64135C2213yes—
26#64135C2213yes—
27C3×#947C2213yes—
28C3×#947C2213yes—
29C3×#946C2213yes—
30C3×#946C2213yes—
31C3×Q8×Dic3C2211yescharacteristic
32C3×Q8×Dic3C2211yescharacteristic
33C3×#930C2213yes—
34C3×#930C2213yes—
35C3×C4×#67C2213yes—
36C3×C4×#67C2213yes—
37#63970C2213yes—
38#63970C2216yes—
39#63969C2213yes—
40#63959C2213yes—
41#63956C2211yescharacteristic
42#63918C2213yes—
43C4×#627C2213yes—
44#63915C2216yes—
45#63914C2213yes—
46#63908C2213yes—
47#63908C2213yes—
48#63902C2216yes—
49C4×#625C2213yes—
50#63898C2213yes—
51#63898C2213yes—
52#63893C2213yes—
53Dic3×D12C2213yes—
54Dic3×D12C2213yes—
55#63891C2216yes—
56#63891C2216yes—
57#63891C2213yes—
58D3×C4⋊Dic3C2213yes—
59#63878C2216yes—
60C4×D3×Dic3C2213yes—
61#63872C2213yes—
62#63869C2213yes—
63#63862C2216yes—
64#63861C2213yes—
65#63855C2213yes—
66#63845C2213yes—
67#63841C2213yes—
68C3×#548—31no—
69C3×#548—31no—
70#5834—31no—
71#5834—31no—
72#5827—31no—
73Dic3×#41—31no—
74#5817D311yescharacteristic, complemented
75#5817D311yescharacteristic, complemented
76#5812—31no—
77#5812—31no—
78#5812—61no—
79#5682—33no—
80#5681—33no—
81#5681—33no—
82#5680—33no—
83#5643—33no—
84#5642—33no—
85#5639—33no—
86#5624—33no—
87#5619—33no—
88#5619—33no—
89#5616—33no—
90#5614—33no—
91#5574—31no—
92C4×#239—31no—
93#5570—31no—
94#5569—31no—
95#5565—33no—
96#5563—33no—
97#5557—33no—
98#5538—33no—
99C2×C32×Q8—24no—
100C2×C32×Q8C2313yes—
101C2×C32×Q8C2311yescharacteristic
102C22×C32×C4C2313yes—
103C2×C3×#67C2313yes—
104C2×C3×#67C2313yes—
105C3×#239—24no—
106C3×#239—24no—
107C2×C3×D12C2313yes—
108C2×C3×D12C2313yes—
109C2×C3×C4×D3C2313yes—
110C2×C3×C4×D3C2313yes—
111C2×#627C2313yes—
112C2×#625C2313yes—
113C2×#625C2316yes—
114C2×D3×Dic3C2313yes—
115C2×D3×Dic3C2313yes—
116C2×D3×Dic3C2316yes—
117#3757C2311yescharacteristic
118#3757C2313yes—
119C4⋊(C3⋊Dic3)C2313yes—
120C4⋊(C3⋊Dic3)C2313yes—
121C4⋊(C3⋊Dic3)C2313yes—
122C4⋊(C3⋊Dic3)C2313yes—
123C4×C3⋊Dic3C2313yes—
124C4×C3⋊Dic3C2316yes—
125C4×C3⋊Dic3C2313yes—
126C3×#217C2311yescharacteristic
127C3×#217C2311yescharacteristic
128C3×(C2×D3)⋊C4C2313yes—
129C3×(C2×D3)⋊C4C2313yes—
130C3×(C2×D3)⋊C4C2316yes—
131C3×(C2×D3)⋊C4C2316yes—
132C3×C4⋊Dic3C2313yes—
133C3×C4⋊Dic3C2313yes—
134C3×Dic3⋊C4C2313yes—
135C3×Dic3⋊C4C2313yes—
136C3×C4×Dic3C2313yes—
137C3×C4×Dic3C2313yes—
138#3724C2311yescharacteristic
139#3724C2313yes—
140Dic3⋊Dic3C2313yes—
141Dic3⋊Dic3C2313yes—
142Dic3⋊Dic3C2311yescharacteristic
143Dic3⋊Dic3C2316yes—
144Dic3⋊Dic3C2311yescharacteristic
145(C2×D3)⋊Dic3C2316yes—
146(C2×D3)⋊Dic3C2313yes—
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149(C2×D3)⋊Dic3C2313yes—
150Dic32C2313yes—
151Dic32C2311yescharacteristic
152#3524—91noSylow
153C2×C3×#41—31no—
154C2×C3×#41—31no—
155C22×C3×Q8—21no—
156C22×C3×Q8C2×D311yescharacteristic
157C22×C3×Q8C2×D311yescharacteristic
158C2×#239C2×D311yescharacteristic
159C2×#239C2×D311yescharacteristic
160C3×#124—33no—
161C3×#124—33no—
162C3×C22⋊Q8—33no—
163C3×C22⋊Q8—33no—
164C3×#121—33no—
165C3×#121—33no—
166C3×C4×Q8—31no—
167C3×C4×Q8—31no—
168C3×C4×D4—33no—
169C3×C4×D4—33no—
170#947C2×D313yes—
171#947C2×D313yes—
172#946C2×D313yes—
173#946C2×D313yes—
174Q8×Dic3—33no—
175Q8×Dic3—33no—
176Q8×Dic3—33no—
177Q8×Dic3—33no—
178Q8×Dic3—31no—
179Q8×Dic3—31no—
180Q8×Dic3—31no—
181Q8×Dic3—31no—
182Q8×Dic3—61no—
183Q8×Dic3—63no—
184Q8×Dic3—61no—
185Q8×Dic3—63no—
186Q8×Dic3C2×D311yescharacteristic
187Q8×Dic3C2×D311yescharacteristic
188#940—33no—
189#940—33no—
190#939—33no—
191#939—36no—
192#938—33no—
193#938—36no—
194#938—33no—
195#938—33no—
196#936—33no—
197#935—33no—
198D4×Dic3—33no—
199D4×Dic3—33no—
200D4×Dic3—33no—
201D4×Dic3—33no—
202#930—33no—
203#930—33no—
204#930C2×D313yes—
205#930C2×D313yes—
206C4×#67—33no—
207C4×#67—33no—
208C4×#67C2×D313yes—
209C4×#67C2×D313yes—
210#926—33no—
211#926—33no—
212#926—33no—
213#926—33no—
214#926—33no—
215#926—33no—
216#926—63no—
217#926—63no—
218C2×C4⋊Dic3—33no—
219C2×C4×Dic3—33no—
220#898—36no—
221#898—33no—
222#897—33no—
223#893—33no—
224#893—33no—
225#892—33no—
226#892—36no—
227D3×C4⋊C4—33no—
228#890—33no—
229#890—33no—
230#890—33no—
231#890—33no—
232#889—33no—
233#888—33no—
234#886—36no—
235#886—33no—
236#886—36no—
237#885—33no—
238#885—36no—
239#885—36no—
240#883—33no—
241#883—36no—
242#883—36no—
243#883—33no—
244#67⋊C4—36no—
245#67⋊C4—36no—
246#879—31no—
247#879—31no—
248#879—36no—
249#879—33no—
250#878—33no—
251#877—36no—
252C4×D12—33no—
253C4×D12—33no—
254#872—33no—
255C42×D3—33no—
256#870—33no—
257#869—33no—
258C4×Dic6—33no—
259C4×Dic6—33no—
260C23×C32C2411yescharacteristic
261C22×C3×D3C2413yes—
262C22×C3×D3C2413yes—
263C32×Q8—26no—
264C32×Q8#4114yes—
265C2×C32×C4—26no—
266C2×C32×C4C2413yes—
267C2×C32×C4C2413yes—
268C2×C3⋊Dic3C2411yescharacteristic
269C2×C3⋊Dic3C2413yes—
270C2×C3⋊Dic3C2413yes—
271C2×C3⋊Dic3C2411yescharacteristic
272C3×#67—43no—
273C3×#67—43no—
274C2×C3×Dic3C2411yescharacteristic
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2411yescharacteristic
277C2×C3×Dic3C2411yescharacteristic
278C2×C3×Dic3C2411yescharacteristic
279C2×C3×Dic3C2413yes—
280C3×D12—26no—
281C3×D12—26no—
282C3×C4×D3—26no—
283C3×C4×D3—26no—
284#627—43no—
285#625—43no—
286#625—46no—
287D3×Dic3—43no—
288D3×Dic3—46no—
289D3×Dic3—43no—
290#559—93no—
291#557—91no—
292#555—93no—
293#553—93no—
294#552—93no—
295#550—91no—
296#548—31no—
297#548—31no—
298#542—93no—
299#540—93no—
300#529—93no—
301#529—93no—
302#520—91no—
303#519—91no—
304C4×#41—91no—
305C3×#41—64no—
306C3×#41—64no—
307C2×C3×Q8—28no—
308C2×C3×Q8—24no—
309C2×C3×Q8—24no—
310C2×C3×Q8—23no—
311C2×C3×Q8—21no—
312C2×C3×Q8C22×D313yes—
313C2×C3×Q8C22×D313yes—
314C2×C3×Q8C22×D311yescharacteristic
315C2×C3×Q8C22×D311yescharacteristic
316C2×C3×D4—33no—
317C2×C3×D4—33no—
318C2×C3×D4—33no—
319C2×C3×D4—33no—
320C22×C3×C4—23no—
321C22×C3×C4—33no—
322C22×C3×C4—33no—
323C22×C3×C4C22×D313yes—
324C22×C3×C4C22×D313yes—
325C2×#67—36no—
326C2×#67—36no—
327C2×#67—33no—
328C2×#67—33no—
329C2×#67C22×D313yes—
330C2×#67C22×D313yes—
331C22×Dic3—36no—
332C22×Dic3—33no—
333C22×Dic3—33no—
334#239—24no—
335#239—24no—
336C2×D12C22×D313yes—
337C2×D12C22×D313yes—
338C2×C4×D3—33no—
339C2×C4×D3—33no—
340C2×C4×D3—36no—
341C2×C4×D3C22×D313yes—
342C2×C4×D3C22×D313yes—
343C2×Dic6—33no—
344C2×Dic6—33no—
345C3×C4⋊C4—33no—
346C3×C4⋊C4—33no—
347C3×C4⋊C4—33no—
348C3×C4⋊C4—33no—
349C3×C22⋊C4—31no—
350C3×C22⋊C4—31no—
351C3×C22⋊C4—36no—
352C3×C22⋊C4—33no—
353C3×C22⋊C4—33no—
354C3×C22⋊C4—36no—
355C3×C42—33no—
356C3×C42—33no—
357#217—31no—
358#217—31no—
359#217—33no—
360#217—33no—
361#217—33no—
362#217—33no—
363#217—33no—
364#217—36no—
365#217—33no—
366#217—61no—
367#217—63no—
368#217C22×D311yescharacteristic
369#217C22×D311yescharacteristic
370(C2×D3)⋊C4—33no—
371(C2×D3)⋊C4—33no—
372(C2×D3)⋊C4—36no—
373(C2×D3)⋊C4—33no—
374(C2×D3)⋊C4—33no—
375(C2×D3)⋊C4C22×D313yes—
376(C2×D3)⋊C4C22×D316yes—
377(C2×D3)⋊C4C22×D313yes—
378(C2×D3)⋊C4C22×D316yes—
379C4⋊Dic3—33no—
380C4⋊Dic3—33no—
381C4⋊Dic3—33no—
382C4⋊Dic3—33no—
383C4⋊Dic3—33no—
384C4⋊Dic3—33no—
385C4⋊Dic3—33no—
386C4⋊Dic3—33no—
387C4⋊Dic3—31no—
388C4⋊Dic3—33no—
389C4⋊Dic3—36no—
390C4⋊Dic3—31no—
391C4⋊Dic3—33no—
392C4⋊Dic3—63no—
393C4⋊Dic3—63no—
394C4⋊Dic3—63no—
395C4⋊Dic3—63no—
396C4⋊Dic3C22×D313yes—
397C4⋊Dic3C22×D313yes—
398Dic3⋊C4—31no—
399Dic3⋊C4—33no—
400Dic3⋊C4—33no—
401Dic3⋊C4—33no—
402Dic3⋊C4—36no—
403Dic3⋊C4—31no—
404Dic3⋊C4—33no—
405Dic3⋊C4—31no—
406Dic3⋊C4—31no—
407Dic3⋊C4C22×D313yes—
408Dic3⋊C4C22×D313yes—
409C4×Dic3—33no—
410C4×Dic3—33no—
411C4×Dic3—33no—
412C4×Dic3—33no—
413C4×Dic3—36no—
414C4×Dic3—36no—
415C4×Dic3—31no—
416C4×Dic3—33no—
417C4×Dic3—31no—
418C4×Dic3—33no—
419C4×Dic3—63no—
420C4×Dic3—66no—
421C4×Dic3—63no—
422C4×Dic3C22×D313yes—
423C4×Dic3C22×D313yes—
424C22×C32—21no—
425C22×C32—21no—
426C22×C32—21no—
427C22×C32C2511yescharacteristic
428C2×C3×D3—23no—
429C2×C3×D3—23no—
430C2×C3×D3—23no—
431C2×C3×D3—23no—
432C2×C3×D3—23no—
433C2×C3×D3—23no—
434C32×C4—23no—
435C32×C4C2×#4116yes—
436C3⋊Dic3—23no—
437C3⋊Dic3—21no—
438C3⋊Dic3—21no—
439C3⋊Dic3—23no—
440C3×Dic3—21no—
441C3×Dic3—21no—
442C3×Dic3—21no—
443C3×Dic3—23no—
444C3×Dic3—23no—
445C3×Dic3—21no—
446C2×#41—31no—
447C2×#41—31no—
448C22×Q8D3211yescharacteristic
449C4⋊Q8—93no—
450#127—93no—
451#126—91no—
452#126—93no—
453#126—96no—
454#125—93no—
455#125—93no—
456#125—93no—
457#124—33no—
458#124—33no—
459#124—96no—
460#124—93no—
461#123—96no—
462#123—93no—
463#123—96no—
464#123—93no—
465C22⋊Q8—33no—
466C22⋊Q8—33no—
467C22⋊Q8—93no—
468#121—33no—
469#121—33no—
470#121—93no—
471#121—93no—
472#121—93no—
473#121—96no—
474C4×Q8—31no—
475C4×Q8—31no—
476C4×Q8—93no—
477C4×Q8—91no—
478C4×Q8—93no—
479C4×Q8—91no—
480C4×Q8—93no—
481C4×D4—33no—
482C4×D4—33no—
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—21no—
497C23×C3—33no—
498C23×C3—33no—
499C23×C3C23×D311yescharacteristic
500C23×C3C23×D311yescharacteristic
501C22×D3C23×D313yes—
502C22×D3C23×D313yes—
503C3×Q8—212no—
504C3×Q8—26no—
505C3×Q8—26no—
506C3×Q8—24no—
507C3×Q8#23714yes—
508C3×Q8#23714yes—
509C3×D4—66no—
510C3×D4—66no—
511C3×D4—123no—
512C3×D4—123no—
513C2×C3×C4—212no—
514C2×C3×C4—26no—
515C2×C3×C4—26no—
516C2×C3×C4—23no—
517C2×C3×C4—23no—
518C2×C3×C4—31no—
519C2×C3×C4—31no—
520C2×C3×C4—33no—
521C2×C3×C4—33no—
522C2×C3×C4—31no—
523C2×C3×C4—31no—
524C2×C3×C4—66no—
525C2×C3×C4—66no—
526C2×C3×C4C23×D313yes—
527C2×C3×C4C23×D313yes—
528C2×C3×C4C23×D313yes—
529C2×C3×C4C23×D313yes—
530#67—43no—
531#67—43no—
532#67—126no—
533#67—123no—
534#67—126no—
535#67—123no—
536C2×Dic3—31no—
537C2×Dic3—33no—
538C2×Dic3—33no—
539C2×Dic3—31no—
540C2×Dic3—31no—
541C2×Dic3—33no—
542C2×Dic3—31no—
543C2×Dic3—33no—
544C2×Dic3—61no—
545C2×Dic3—63no—
546C2×Dic3—63no—
547C2×Dic3—61no—
548C2×Dic3—123no—
549C2×Dic3—126no—
550C2×Dic3—123no—
551C2×Dic3C23×D311yescharacteristic
552C2×Dic3C23×D311yescharacteristic
553C2×Dic3C23×D313yes—
554C2×Dic3C23×D311yescharacteristic
555C2×Dic3C23×D313yes—
556C2×Dic3C23×D311yescharacteristic
557D12—26no—
558D12—26no—
559C4×D3—26no—
560C4×D3—26no—
561C4×D3—123no—
562C4×D3—123no—
563C4×D3—126no—
564Dic6—123no—
565Dic6—123no—
566C2×C32—41no—
567C2×C32C22×#4111yescharacteristic
568C2×C32#58511yescharacteristic
569C2×C32#58511yescharacteristic
570C3×D3—43no—
571C3×D3—43no—
572#41—64no—
573#41—64no—
574C2×Q8—24no—
575C2×Q8—93no—
576C2×Q8C2×D3213yes—
577C2×Q8C2×D3211yescharacteristic
578C2×D4—33no—
579C2×D4—33no—
580C2×D4—33no—
581C2×D4—33no—
582C2×D4—96no—
583C2×D4—93no—
584C22×C4—33no—
585C22×C4—33no—
586C22×C4—93no—
587C22×C4—93no—
588C22×C4—96no—
589C22×C4C2×D3213yes—
590C4⋊C4—33no—
591C4⋊C4—33no—
592C4⋊C4—33no—
593C4⋊C4—33no—
594C4⋊C4—93no—
595C4⋊C4—91no—
596C4⋊C4—96no—
597C4⋊C4—91no—
598C4⋊C4—93no—
599C4⋊C4—91no—
600C4⋊C4—93no—
601C4⋊C4—93no—
602C4⋊C4—93no—
603C4⋊C4—93no—
604C4⋊C4—93no—
605C22⋊C4—31no—
606C22⋊C4—31no—
607C22⋊C4—36no—
608C22⋊C4—33no—
609C22⋊C4—33no—
610C22⋊C4—36no—
611C22⋊C4—93no—
612C22⋊C4—93no—
613C22⋊C4—96no—
614C22⋊C4—93no—
615C22⋊C4—93no—
616C22⋊C4—91no—
617C22⋊C4—93no—
618C42—33no—
619C42—33no—
620C42—91no—
621C42—93no—
622C42—93no—
623C42—96no—
624C42—93no—
625C22×C3—22no—
626C22×C3—21no—
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—21no—
631C22×C3—21no—
632C22×C3—21no—
633C22×C3—41no—
634C22×C3—41no—
635C22×C3—63no—
636C22×C3—63no—
637C22×C3—63no—
638C22×C3—63no—
639C22×C3—63no—
640C22×C3—63no—
641C22×C3C24×D311yescharacteristic
642C22×C3C24×D311yescharacteristic
643C2×D3—23no—
644C2×D3—23no—
645C2×D3—23no—
646C2×D3—23no—
647C2×D3—23no—
648C2×D3—23no—
649C3×C4—26no—
650C3×C4—23no—
651C3×C4—23no—
652C3×C4—26no—
653C3×C4—61no—
654C3×C4—61no—
655C3×C4—61no—
656C3×C4—61no—
657C3×C4—63no—
658C3×C4—63no—
659C3×C4C2×#23716yes—
660C3×C4C2×#23716yes—
661Dic3—21no—
662Dic3—21no—
663Dic3—23no—
664Dic3—23no—
665Dic3—21no—
666Dic3—21no—
667Dic3—63no—
668Dic3—63no—
669Dic3—61no—
670Dic3—61no—
671Dic3—63no—
672Dic3—61no—
673Dic3—63no—
674Dic3—61no—
675Dic3—123no—
676Dic3—121no—
677Dic3—121no—
678Dic3—123no—
679C32#352411yescharacteristic, complemented, Sylow
680C23—33no—
681C23—33no—
682C23C22×D3211yescharacteristic
683Q8—26no—
684Q8—363no—
685Q8#380514yes—
686D4—66no—
687D4—66no—
688D4—123no—
689D4—123no—
690D4—363no—
691D4—366no—
692C2×C4—26no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—33no—
696C2×C4—33no—
697C2×C4—31no—
698C2×C4—31no—
699C2×C4—66no—
700C2×C4—66no—
701C2×C4—91no—
702C2×C4—93no—
703C2×C4—93no—
704C2×C4—91no—
705C2×C4—363no—
706C2×C4—366no—
707C2×C4—363no—
708C2×C4C22×D3213yes—
709C2×C4C22×D3213yes—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—42no—
714C2×C3—41no—
715C2×C3—41no—
716C2×C3—123no—
717C2×C3—123no—
718C2×C3C22×#23711yescharacteristic
719C2×C3C22×#23711yescharacteristic
720C2×C3#596411yescharacteristic
721C2×C3#596411yescharacteristic
722C2×C3#596811yescharacteristic
723C2×C3#596811yescharacteristic
724D3—43no—
725D3—43no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—63no—
730C22—63no—
731C22—63no—
732C22—63no—
733C22—63no—
734C22—63no—
735C22C23×D3211yescharacteristic
736C4—23no—
737C4—61no—
738C4—63no—
739C4—63no—
740C4—61no—
741C4—61no—
742C4—61no—
743C4—183no—
744C4—181no—
745C4—181no—
746C4—183no—
747C4C2×#380516yes—
748C3—21no—
749C3#8672311yescharacteristic, complemented
750C3#8672411yescharacteristic, complemented
751C2—41no—
752C2—123no—
753C2—123no—
754C2#1059668811yescharacteristic
755C2#1059668811yescharacteristic
756C2C22×#380511yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC22×C32×Q8C22
hypercenterC22×Q8D32
hypocenterC32#3524
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. #10596283C2semidirect
2. C3×#5817C2semidirect
3. C3×#5817C2semidirect
4. #10595422C2semidirect
5. #10595412C2semidirect
6. #10595396C2semidirect
7. #10595394C2semidirect
8. #10595392C2semidirect
9. Dic3×#239C2semidirect
10. #10595380C2semidirect
11. #10595377C2semidirect
12. #10595041C2semidirect
13. #10595026C2semidirect
14. #10594945C2semidirect
15. #10594934C2semidirect
74. #5817D3semidirect
75. #5817D3semidirect
679. C32#3524semidirect
749. C3#86723semidirect
750. C3#86724semidirect

Maximal subgroups

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

subgroupindex
#105962832
C3×#58172
#105954222
#105954122
#105953962
#105953942
#105953922
Dic3×#2392
#105953802
#105953772
#105950412
#105950262
#105949452
#105949342
#867243
#867233