Finite Group Databasebeta

← #11910032

Subgroups — #11910032

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#10596043C211yesmaximal, characteristic, complemented
2C3×#5577C211yesmaximal, characteristic, complemented
3C3×#5569C211yesmaximal, characteristic, complemented
4#10595414C211yesmaximal, characteristic, complemented
5#10595414C211yesmaximal, characteristic, complemented
6#10595394C211yesmaximal, characteristic, complemented
7Dic3×#239C211yesmaximal, characteristic, complemented
8#10594494C213yesmaximal, complemented
9#10594463C213yesmaximal, complemented
10#10594437C213yesmaximal, complemented
11#10594427C213yesmaximal, complemented
12#10593951C213yesmaximal, complemented
13#10593950C213yesmaximal, complemented
14#10593920C213yesmaximal, complemented
15#10593911C213yesmaximal, complemented
16#87026—31nomaximal
17#86777—31nomaximal
18C2×Q8×C3⋊D3C2211yescharacteristic
19C2×C3×#239C2211yescharacteristic
20C2×C3×#239C2211yescharacteristic
21C32×C4×Q8C2211yescharacteristic
22Q8×C3⋊Dic3C2211yescharacteristic
23#64101C2213yes—
24#64096C2213yes—
25#64081C2213yes—
26C4×#634C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×#895C2213yes—
30C3×#895C2213yes—
31C3×#890C2213yes—
32C3×#888C2213yes—
33C3×#874C2213yes—
34C3×C4×D12C2213yes—
35C3×#870C2213yes—
36C3×C4×Dic6C2213yes—
37#63916C2213yes—
38#63916C2213yes—
39#63907C2213yes—
40C4×#626C2213yes—
41C4×#626C2213yes—
42#63898C2213yes—
43#63898C2213yes—
44#63898C2216yes—
45Dic3×D12C2213yes—
46Dic3×D12C2213yes—
47#63890C2213yes—
48D3×C4⋊Dic3C2213yes—
49#63887C2213yes—
50#63886C2213yes—
51#63886C2216yes—
52#63884C2213yes—
53#63884C2216yes—
54#63884C2216yes—
55#63878C2216yes—
56C4×D3×Dic3C2213yes—
57#63863C2216yes—
58#63862C2216yes—
59#63860C2213yes—
60#63860C2213yes—
61#63858C2213yes—
62#63857C2213yes—
63#63857C2213yes—
64#63855C2213yes—
65#63848C2211yescharacteristic
66#63846C2213yes—
67#63841C2213yes—
68C3×#557—31no—
69C3×#550—31no—
70#5831—31no—
71#5831—31no—
72#5827—31no—
73Dic3×#41—31no—
74#5734—33no—
75#5733—33no—
76#5719—33no—
77#5713—33no—
78#5697—33no—
79#5695—33no—
80#5694—33no—
81#5691—33no—
82#5618—33no—
83#5616—33no—
84#5603—33no—
85#5600—33no—
86#5585—33no—
87#5580—33no—
88#5577D311yescharacteristic, complemented
89#5576—31no—
90#5576—31no—
91#5574—31no—
92C4×#239—31no—
93#5572—31no—
94#5572—31no—
95#5572—61no—
96#5569D311yescharacteristic, complemented
97#5541—33no—
98#5538—33no—
99C2×C32×Q8C2311yescharacteristic
100Q8×C3⋊D3—24no—
101C2×C4×C3⋊D3C2313yes—
102C2×#634C2313yes—
103C3×#239—24no—
104C3×#239—24no—
105C2×C3×D12C2313yes—
106C2×C3×D12C2313yes—
107C2×C3×D12C2316yes—
108C2×C3×D12C2313yes—
109C2×C3×C4×D3C2313yes—
110C2×C3×C4×D3C2313yes—
111C2×C3×Dic6C2313yes—
112C2×#626C2313yes—
113C2×#626C2313yes—
114C2×D3×Dic3C2313yes—
115C2×D3×Dic3C2313yes—
116C2×D3×Dic3C2316yes—
117C32×C4⋊C4C2313yes—
118C32×C42C2313yes—
119#3752C2311yescharacteristic
120#3752C2313yes—
121C4⋊(C3⋊Dic3)C2313yes—
122#3750C2313yes—
123#3750C2313yes—
124C4×C3⋊Dic3C2316yes—
125C4×C3⋊Dic3C2313yes—
126C3×(C2×D3)⋊C4C2313yes—
127C3×(C2×D3)⋊C4C2313yes—
128C3×C4⋊Dic3C2313yes—
129C3×C4⋊Dic3C2313yes—
130C3×C4⋊Dic3C2313yes—
131C3×C4⋊Dic3C2311yescharacteristic
132C3×Dic3⋊C4C2316yes—
133C3×Dic3⋊C4C2313yes—
134C3×Dic3⋊C4C2311yescharacteristic
135C3×C4×Dic3C2313yes—
136C3×C4×Dic3C2313yes—
137Dic3⋊Dic3C2313yes—
138Dic3⋊Dic3C2313yes—
139Dic3⋊Dic3C2313yes—
140Dic3⋊Dic3C2311yescharacteristic
141#3722C2311yescharacteristic
142#3722C2311yescharacteristic
143(C2×D3)⋊Dic3C2316yes—
144(C2×D3)⋊Dic3C2313yes—
145(C2×D3)⋊Dic3C2313yes—
146(C2×D3)⋊Dic3C2316yes—
147(C2×D3)⋊Dic3C2316yes—
148(C2×D3)⋊Dic3C2313yes—
149(C2×D3)⋊Dic3C2313yes—
150Dic32C2313yes—
151Dic32C2311yescharacteristic
152#3524—91noSylow
153C2×C3×#41—31no—
154C2×C3×#41—31no—
155C2×#239C2×D311yescharacteristic
156C2×#239C2×D311yescharacteristic
157C2×D3×Q8—31no—
158C2×D3×Q8—31no—
159C2×D3×Q8—61no—
160C3×C4⋊Q8—33no—
161C3×#127—33no—
162C3×#125—33no—
163C3×#125—33no—
164C3×#121—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#946—33no—
176Q8×Dic3—31no—
177Q8×Dic3—31no—
178Q8×Dic3—61no—
179Q8×Dic3C2×D311yescharacteristic
180Q8×Dic3C2×D311yescharacteristic
181#939—33no—
182#939—36no—
183#938—33no—
184#938—33no—
185#936—36no—
186#936—33no—
187#936—33no—
188#935—33no—
189#935—36no—
190#935—36no—
191D4×Dic3—36no—
192D4×Dic3—33no—
193D4×Dic3—33no—
194D4×Dic3—33no—
195D4×Dic3—33no—
196C4×#67—33no—
197C4×#67—33no—
198#926—33no—
199#926—33no—
200C2×C4⋊Dic3—33no—
201#924—33no—
202#924—33no—
203C2×C4×Dic3—33no—
204#898—33no—
205#898—36no—
206#898—31no—
207#898—31no—
208#897—33no—
209#897—33no—
210#895—36no—
211#895—33no—
212#895—33no—
213#895—33no—
214#895C2×D313yes—
215#895C2×D313yes—
216#894—36no—
217#894—36no—
218#894—33no—
219#894—33no—
220#893—36no—
221#893—33no—
222#893—33no—
223#892—33no—
224#892—33no—
225#892—33no—
226#892—36no—
227#892—63no—
228D3×C4⋊C4—33no—
229#890—33no—
230#890C2×D313yes—
231#889—33no—
232#888C2×D313yes—
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—
242#875—33no—
243#875—33no—
244#874C2×D313yes—
245C4×D12—33no—
246C4×D12—33no—
247C4×D12—33no—
248C4×D12—33no—
249C4×D12C2×D313yes—
250#872—33no—
251#872—33no—
252#872—33no—
253#872—63no—
254C42×D3—33no—
255#870C2×D313yes—
256C4×Dic6—33no—
257C4×Dic6—33no—
258C4×Dic6—63no—
259C4×Dic6C2×D313yes—
260C22×C3⋊D3C2411yescharacteristic
261C22×C3×D3C2413yes—
262C22×C3×D3C2413yes—
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×Dic3C2411yescharacteristic
273C2×C3×Dic3C2413yes—
274C2×C3×Dic3C2411yescharacteristic
275C2×C3×Dic3C2411yescharacteristic
276C2×C3×Dic3C2413yes—
277C2×C3×Dic3C2411yescharacteristic
278C3×D12—26no—
279C3×D12—26no—
280C3×D12—46no—
281C3×D12—43no—
282C3×C4×D3—26no—
283C3×C4×D3—26no—
284C3×Dic6—43no—
285#626—43no—
286#626—43no—
287D3×Dic3—43no—
288D3×Dic3—46no—
289D3×Dic3—43no—
290#559—93no—
291#557—31no—
292#555—93no—
293#553—93no—
294#552—93no—
295#550—31no—
296#548—91no—
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—
306C3×#41—64no—
307C2×C3×Q8—21no—
308C2×C3×Q8—33no—
309C2×C3×Q8C22×D311yescharacteristic
310C2×C3×Q8C22×D311yescharacteristic
311C2×C3×D4—33no—
312C2×C3×D4—33no—
313C2×C3×D4—36no—
314C2×C3×D4—33no—
315C22×C3×C4—33no—
316C22×C3×C4—33no—
317C2×#67—33no—
318C2×#67—33no—
319C22×Dic3—36no—
320C22×Dic3—33no—
321C22×Dic3—33no—
322#239—24no—
323#239—24no—
324D3×Q8—68no—
325D3×Q8—64no—
326D3×Q8—64no—
327C2×D12—33no—
328C2×D12—33no—
329C2×D12C22×D313yes—
330C2×D12C22×D313yes—
331C2×D12C22×D313yes—
332C2×D12C22×D316yes—
333C2×C4×D3—33no—
334C2×C4×D3—33no—
335C2×C4×D3—33no—
336C2×C4×D3—33no—
337C2×C4×D3—36no—
338C2×C4×D3—63no—
339C2×C4×D3C22×D313yes—
340C2×C4×D3C22×D313yes—
341C2×Dic6—33no—
342C2×Dic6—33no—
343C2×Dic6—63no—
344C2×Dic6C22×D313yes—
345C3×C4⋊C4—23no—
346C3×C4⋊C4—31no—
347C3×C4⋊C4—33no—
348C3×C4⋊C4—33no—
349C3×C4⋊C4—33no—
350C3×C4⋊C4—36no—
351C3×C4⋊C4—33no—
352C3×C4⋊C4—31no—
353C3×C4⋊C4C22×D313yes—
354C3×C4⋊C4C22×D313yes—
355C3×C22⋊C4—33no—
356C3×C22⋊C4—33no—
357C3×C42—23no—
358C3×C42—33no—
359C3×C42—33no—
360C3×C42C22×D313yes—
361C3×C42C22×D313yes—
362#217—36no—
363#217—33no—
364#217—36no—
365#217—33no—
366#217—36no—
367#217—33no—
368#217—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—36no—
374(C2×D3)⋊C4—36no—
375(C2×D3)⋊C4—36no—
376(C2×D3)⋊C4—31no—
377(C2×D3)⋊C4—31no—
378(C2×D3)⋊C4—33no—
379(C2×D3)⋊C4—33no—
380(C2×D3)⋊C4—31no—
381(C2×D3)⋊C4—31no—
382(C2×D3)⋊C4—31no—
383(C2×D3)⋊C4—31no—
384(C2×D3)⋊C4—61no—
385(C2×D3)⋊C4—63no—
386(C2×D3)⋊C4C22×D313yes—
387(C2×D3)⋊C4C22×D313yes—
388C4⋊Dic3—33no—
389C4⋊Dic3—33no—
390C4⋊Dic3—33no—
391C4⋊Dic3—33no—
392C4⋊Dic3—31no—
393C4⋊Dic3—33no—
394C4⋊Dic3—63no—
395C4⋊Dic3C22×D313yes—
396C4⋊Dic3C22×D313yes—
397C4⋊Dic3C22×D313yes—
398C4⋊Dic3C22×D311yescharacteristic
399Dic3⋊C4—33no—
400Dic3⋊C4—33no—
401Dic3⋊C4—33no—
402Dic3⋊C4—33no—
403Dic3⋊C4—31no—
404Dic3⋊C4—33no—
405Dic3⋊C4—33no—
406Dic3⋊C4—33no—
407Dic3⋊C4—63no—
408Dic3⋊C4—63no—
409Dic3⋊C4C22×D311yescharacteristic
410Dic3⋊C4C22×D313yes—
411Dic3⋊C4C22×D316yes—
412C4×Dic3—36no—
413C4×Dic3—36no—
414C4×Dic3—33no—
415C4×Dic3—33no—
416C4×Dic3—31no—
417C4×Dic3—33no—
418C4×Dic3—33no—
419C4×Dic3—31no—
420C4×Dic3—66no—
421C4×Dic3—63no—
422C4×Dic3C22×D313yes—
423C4×Dic3C22×D313yes—
424C22×C32C2511yescharacteristic
425C2×C3⋊D3—21no—
426C2×C3⋊D3—21no—
427C2×C3⋊D3—21no—
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×C4—21no—
436C32×C4C2×#4116yes—
437C3⋊Dic3—23no—
438C3⋊Dic3—23no—
439C3⋊Dic3—21no—
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×Q8—91no—
449C4⋊Q8—33no—
450#127—33no—
451#126—93no—
452#126—96no—
453#126—91no—
454#125—33no—
455#125—33no—
456#125—93no—
457#124—93no—
458#124—93no—
459#124—93no—
460#124—96no—
461#123—93no—
462#123—96no—
463#123—93no—
464#123—96no—
465C22⋊Q8—93no—
466C22⋊Q8—93no—
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—33no—
477C4×Q8—91no—
478C4×Q8—93no—
479C4×Q8—93no—
480C4×Q8D3211yescharacteristic
481C4×D4—33no—
482C4×D4—93no—
483C4×D4—93no—
484C4×D4—93no—
485C4×D4—93no—
486C4×D4—93no—
487C4×D4—93no—
488C4×D4—96no—
489#117—93no—
490#117—96no—
491#117—93no—
492#117—93no—
493#117—93no—
494C2×C4⋊C4—93no—
495C2×C42—93no—
496C23×C3—33no—
497C23×C3—33no—
498C22×D3—31no—
499C22×D3—31no—
500C22×D3—61no—
501C22×D3C23×D313yes—
502C22×D3C23×D313yes—
503C3×Q8—24no—
504C3×Q8—123no—
505C3×Q8#23714yes—
506C3×Q8#23914yes—
507C3×D4—66no—
508C3×D4—66no—
509C3×D4—126no—
510C3×D4—123no—
511C2×C3×C4—23no—
512C2×C3×C4—23no—
513C2×C3×C4—21no—
514C2×C3×C4—31no—
515C2×C3×C4—33no—
516C2×C3×C4—31no—
517C2×C3×C4—31no—
518C2×C3×C4—33no—
519C2×C3×C4—31no—
520C2×C3×C4—66no—
521C2×C3×C4—66no—
522C2×C3×C4C23×D313yes—
523C2×C3×C4C23×D313yes—
524C2×C3×C4C23×D311yescharacteristic
525C2×C3×C4C23×D311yescharacteristic
526C2×C3×C4C23×D313yes—
527C2×C3×C4C23×D313yes—
528#67—123no—
529#67—123no—
530C2×Dic3—31no—
531C2×Dic3—31no—
532C2×Dic3—33no—
533C2×Dic3—33no—
534C2×Dic3—33no—
535C2×Dic3—33no—
536C2×Dic3—63no—
537C2×Dic3—61no—
538C2×Dic3—63no—
539C2×Dic3—123no—
540C2×Dic3—123no—
541C2×Dic3—126no—
542C2×Dic3C23×D311yescharacteristic
543C2×Dic3C23×D311yescharacteristic
544C2×Dic3C23×D313yes—
545C2×Dic3C23×D311yescharacteristic
546C2×Dic3C23×D313yes—
547C2×Dic3C23×D311yescharacteristic
548D12—26no—
549D12—26no—
550D12—43no—
551D12—46no—
552D12—123no—
553D12—123no—
554C4×D3—26no—
555C4×D3—26no—
556C4×D3—612no—
557C4×D3—66no—
558C4×D3—66no—
559C4×D3—123no—
560C4×D3—126no—
561C4×D3—123no—
562Dic6—43no—
563Dic6—612no—
564Dic6—66no—
565Dic6—66no—
566C2×C32C22×#4111yescharacteristic
567C2×C32#58511yescharacteristic
568C2×C32#58511yescharacteristic
569C3⋊D3—41no—
570C3×D3—43no—
571C3×D3—43no—
572#41—64no—
573#41—64no—
574C2×Q8—33no—
575C2×Q8—93no—
576C2×Q8—184no—
577C2×Q8C2×D3211yescharacteristic
578C2×D4—33no—
579C2×D4—33no—
580C2×D4—33no—
581C2×D4—36no—
582C2×D4—93no—
583C2×D4—93no—
584C22×C4—33no—
585C22×C4—33no—
586C22×C4—93no—
587C22×C4—93no—
588C22×C4—96no—
589C22×C4—93no—
590C4⋊C4—33no—
591C4⋊C4—33no—
592C4⋊C4—36no—
593C4⋊C4—31no—
594C4⋊C4—33no—
595C4⋊C4—31no—
596C4⋊C4—33no—
597C4⋊C4—93no—
598C4⋊C4—91no—
599C4⋊C4—93no—
600C4⋊C4—93no—
601C4⋊C4—93no—
602C4⋊C4—93no—
603C4⋊C4—93no—
604C4⋊C4C2×D3213yes—
605C22⋊C4—33no—
606C22⋊C4—33no—
607C22⋊C4—91no—
608C22⋊C4—91no—
609C22⋊C4—93no—
610C22⋊C4—96no—
611C22⋊C4—93no—
612C22⋊C4—96no—
613C22⋊C4—93no—
614C22⋊C4—96no—
615C22⋊C4—93no—
616C22⋊C4—91no—
617C22⋊C4—93no—
618C42—33no—
619C42—33no—
620C42—91no—
621C42—93no—
622C42—93no—
623C42—96no—
624C42C2×D3213yes—
625C22×C3—21no—
626C22×C3—63no—
627C22×C3—63no—
628C22×C3—63no—
629C22×C3—63no—
630C22×C3—63no—
631C22×C3—63no—
632C22×C3C24×D311yescharacteristic
633C22×C3C24×D311yescharacteristic
634C2×D3—23no—
635C2×D3—23no—
636C2×D3—23no—
637C2×D3—23no—
638C2×D3—23no—
639C2×D3—23no—
640C2×D3—62no—
641C2×D3—61no—
642C2×D3—61no—
643C2×D3—61no—
644C2×D3—61no—
645C2×D3—61no—
646C2×D3—61no—
647C2×D3—121no—
648C2×D3—121no—
649C3×C4—23no—
650C3×C4—21no—
651C3×C4—23no—
652C3×C4—21no—
653C3×C4—26no—
654C3×C4—41no—
655C3×C4—43no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—63no—
660C3×C4—63no—
661C3×C4—61no—
662C3×C4C2×#23716yes—
663C3×C4C2×#23916yes—
664Dic3—21no—
665Dic3—21no—
666Dic3—21no—
667Dic3—23no—
668Dic3—21no—
669Dic3—23no—
670Dic3—66no—
671Dic3—63no—
672Dic3—63no—
673Dic3—63no—
674Dic3—61no—
675Dic3—61no—
676Dic3—63no—
677Dic3—123no—
678Dic3—121no—
679C32#352411yescharacteristic, complemented, Sylow
680C23—33no—
681C23—33no—
682C23—91no—
683Q8—123no—
684Q8—186no—
685Q8#379614yes—
686D4—66no—
687D4—66no—
688D4—123no—
689D4—126no—
690D4—363no—
691D4—363no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—33no—
695C2×C4—33no—
696C2×C4—31no—
697C2×C4—31no—
698C2×C4—66no—
699C2×C4—66no—
700C2×C4—93no—
701C2×C4—91no—
702C2×C4—93no—
703C2×C4—186no—
704C2×C4—363no—
705C2×C4—366no—
706C2×C4—363no—
707C2×C4C22×D3213yes—
708C2×C4C22×D3211yescharacteristic
709C2×C4C22×D3213yes—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—123no—
714C2×C3—123no—
715C2×C3C22×#23711yescharacteristic
716C2×C3C22×#23911yescharacteristic
717C2×C3#596411yescharacteristic
718C2×C3#596411yescharacteristic
719C2×C3#596611yescharacteristic
720C2×C3#596811yescharacteristic
721D3—43no—
722D3—43no—
723D3—122no—
724D3—121no—
725D3—121no—
726C22—63no—
727C22—63no—
728C22—63no—
729C22—63no—
730C22—63no—
731C22—63no—
732C22—181no—
733C22—181no—
734C22—181no—
735C22C23×D3211yescharacteristic
736C4—21no—
737C4—23no—
738C4—61no—
739C4—61no—
740C4—61no—
741C4—63no—
742C4—63no—
743C4—61no—
744C4—183no—
745C4—183no—
746C4—181no—
747C4C2×#379616yes—
748C3—21no—
749C3#8677711yescharacteristic, complemented
750C3#8702611yescharacteristic, complemented
751C2—123no—
752C2—123no—
753C2—361no—
754C2C22×#379611yescharacteristic
755C2#1059668811yescharacteristic
756C2#1059669611yescharacteristic
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. #10596043C2semidirect
2. C3×#5577C2semidirect
3. C3×#5569C2semidirect
4. #10595414C2semidirect
5. #10595414C2semidirect
6. #10595394C2semidirect
7. Dic3×#239C2semidirect
8. #10594494C2semidirect
9. #10594463C2semidirect
10. #10594437C2semidirect
11. #10594427C2semidirect
12. #10593951C2semidirect
13. #10593950C2semidirect
14. #10593920C2semidirect
15. #10593911C2semidirect
88. #5577D3semidirect
96. #5569D3semidirect
679. C32#3524semidirect
749. C3#86777semidirect
750. C3#87026semidirect

Maximal subgroups

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

subgroupindex
#105960432
C3×#55772
C3×#55692
#105954142
#105953942
Dic3×#2392
#105944942
#105944632
#105944372
#105944272
#105939512
#105939502
#105939202
#105939112
#870263
#867773