Finite Group Databasebeta

← #31719465

Subgroups — #31719465

Order 17152.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16864161C211yesmaximal, characteristic
2C2×#131×D67C211yesmaximal, characteristic
3#22573408C211yesmaximal, characteristic
4#22568778C213yesmaximal, complemented
5#22568777C211yesmaximal, characteristic, complemented
6#22568776C213yesmaximal, complemented
7#22568776C213yesmaximal, complemented
8#22568775C211yesmaximal, characteristic, complemented
9#22568775C211yesmaximal, characteristic, complemented
10#22568774C213yesmaximal, complemented
11#22568771C213yesmaximal, complemented
12#22568770C213yesmaximal, complemented
13C2×#16863421C213yesmaximal, complemented
14#424×D67C213yesmaximal, complemented
15C67×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D67C2211yescharacteristic
17#16864161—28no—
18C2×#14524051C2213yes—
19C2×#14524051C2213yes—
20C2×#14524050C2211yescharacteristic
21C2×#14524050C2211yescharacteristic
22C2×#14524049C2213yes—
23C2×#14524049C2213yes—
24#131×D67—28no—
25C22×#11761611C2213yes—
26C2×M16×D67C2213yes—
27C2×M16×D67C2213yes—
28C22×C8×D67C2213yes—
29#16863878C411yescharacteristic
30#16863878C411yescharacteristic
31#16863875C413yes—
32#16863875C413yes—
33#16863872C411yescharacteristic
34#16863872C411yescharacteristic
35#16863868C413yes—
36#16863868C413yes—
37#41×Dic67C2211yescharacteristic
38C4×#11761628C2213yes—
39#16863864C2213yes—
40C2×#14524000C2213yes—
41#117×D67C2213yes—
42#16863424C2213yescomplemented
43#16863424C2213yescomplemented
44#16863423C2213yescomplemented
45#16863423C2213yescomplemented
46#16863422C2213yescomplemented
47#16863422C2213yescomplemented
48#16863421C2213yes—
49#16863421C2216yes—
50#16863421C2211yescharacteristic
51#16863421C2213yes—
52#16863421C2213yes—
53#16863421C2213yescomplemented
54#16863421C2213yescomplemented
55#16863421C2213yescomplemented
56#16863421C2213yescomplemented
57#16863421C2216yescomplemented
58#16863421C2216yescomplemented
59#16863420C2213yescomplemented
60#16863419C2213yescomplemented
61#16863419C2213yescomplemented
62#16863418C2216yescomplemented
63#16863418C2216yescomplemented
64C2×C4⋊(C67⋊C8)C2213yescomplemented
65C2×Dic67⋊C8C2213yescomplemented
66C2×Dic67⋊C8C2213yescomplemented
67C4⋊C8×D67C2216yescomplemented
68C4⋊C8×D67C2216yescomplemented
69C2×#131×C67C2211yescharacteristic
70C2×#131×C67C2211yescharacteristic
71C4×#41×C67C2211yescharacteristic
72#424×C67C2213yescomplemented
73#424×C67C2213yescomplemented
74#423×C67C2213yescomplemented
75C2×C4⋊C8×C67C2213yescomplemented
76C2×#11761629C2×C411yescharacteristic
77C2×#11761628C2313yes—
78C2×#11761627C2×C413yes—
79#41×D67D418yes—
80#41×D67Q818yes—
81C2×Q8×D67C2×C411yescharacteristic
82C2×D4×D67C2×C413yes—
83C22×C4×D67C2313yes—
84#14524051—212no—
85#14524051—212no—
86#14524050—24no—
87#14524050—24no—
88#14524049—212no—
89#14524049—212no—
90C2×#11761612C2313yes—
91C2×#11761612C2313yes—
92C2×#11761611—212no—
93C2×#11761611C2313yes—
94C2×#11761611C2316yes—
95C2×#11761611C2311yescharacteristic
96C2×#11761611C2313yes—
97C2×#11761611C2313yes—
98M16×D67—212no—
99M16×D67—212no—
100C22×C67⋊C8C2313yes—
101C22×C67⋊C8C2313yes—
102C2×C8×D67—212no—
103C2×C8×D67C2311yescharacteristic
104C2×C8×D67C2313yes—
105C2×C8×D67C2313yes—
106C2×C8×D67C2313yes—
107C2×C8×D67C2316yes—
108Q8×Dic67C2×C411yescharacteristic
109Q8×Dic67C2×C411yescharacteristic
110C4×Dic134C2×C413yes—
111C4×Dic134C2×C413yes—
112#14524008C2×C413yes—
113#14524008C2×C413yes—
114C4×D268C2×C413yes—
115C4×D268C2×C413yes—
116D4×Dic67C2×C413yes—
117D4×Dic67C2×C413yes—
118#14524005C2×C413yes—
119#14524005C2×C413yes—
120C4×C22⋊D67C2×C416yes—
121C4×C22⋊D67C2×C416yes—
122(C22⋊D67)⋊C4C2×C416yes—
123(C22⋊D67)⋊C4C2×C416yes—
124#14524002C2313yes—
125#14524001C2×C413yes—
126#14524001C2×C413yes—
127#14524000C2×C413yes—
128#14524000C2×C413yes—
129#14524000C2×C413yes—
130#14524000C2×C413yes—
131#14524000C2313yes—
132#14524000C2311yescharacteristic
133#14524000C2313yes—
134#14524000C2313yes—
135#14523999C2×C416yes—
136C2×Dic67⋊C4C2×C413yes—
137C2×Dic67⋊C4C2×C413yes—
138C4⋊C4×D67C2×C413yes—
139C4⋊C4×D67C2×C413yes—
140C2×(C2×D67)⋊C4C2×C413yes—
141C2×(C2×D67)⋊C4C2×C413yes—
142C22⋊C4×D67C2×C416yes—
143C2×C4×Dic67C2313yes—
144C42×D67C2316yes—
145C4⋊(C67⋊C8)C2313yes—
146C4⋊(C67⋊C8)C2316yes—
147C4⋊(C67⋊C8)C2311yescharacteristic
148C4⋊(C67⋊C8)C2313yes—
149C4⋊(C67⋊C8)C2313yes—
150Dic67⋊C8C2313yes—
151Dic67⋊C8C2313yes—
152Dic67⋊C8C2316yes—
153Dic67⋊C8C2316yes—
154Dic67⋊C8C2311yescharacteristic
155Dic67⋊C8C2311yescharacteristic
156Dic67⋊C8C2313yes—
157Dic67⋊C8C2313yes—
158Dic67⋊C8C2313yes—
159Dic67⋊C8C2313yes—
160C2×#41×C67C2311yescharacteristic
161#131×C67—24no—
162#131×C67—24no—
163C2×M16×C67C2313yes—
164C2×M16×C67C2313yes—
165C22×C8×C67C2313yes—
166C22×C8×C67C2313yes—
167C4×Q8×C67C2×C411yescharacteristic
168C4×Q8×C67C2×C411yescharacteristic
169C4×D4×C67C2×C413yes—
170C4×D4×C67C2×C413yes—
171#117×C67C2313yes—
172C2×C42×C67C2313yes—
173C4⋊C8×C67C2313yes—
174C4⋊C8×C67C2316yes—
175C4⋊C8×C67C2313yes—
176C4⋊C8×C67C2311yescharacteristic
177C4⋊C8×C67C2313yes—
178C23×D67C22×C413yes—
179#11761629C4⋊C418yes—
180#11761628C2×D4112yes—
181#11761628C2×Q8112yes—
182#11761627C4⋊C4124yes—
183C2×Dic134C22×C413yes—
184Q8×D67C4⋊C418yes—
185C2×D268C22×C413yes—
186C2×C22⋊D67C22×C416yes—
187D4×D67C4⋊C4124yes—
188C22×Dic67C22×C413yes—
189C22×Dic67C22×C413yes—
190C22×Dic67C22×C413yes—
191C2×C4×D67C22×C416yes—
192C2×C4×D67C22×C416yes—
193C2×C4×D67C22×C413yes—
194C2×C4×D67C22×C413yes—
195C2×C4×D67C2×D4112yes—
196C2×C4×D67C2×Q8112yes—
197C2×C4×D67C2413yes—
198C2×C4×D67C2411yescharacteristic
199#11761612—26no—
200#11761612—26no—
201#11761611—26no—
202#11761611—212no—
203#11761611—22no—
204#11761611—26no—
205#11761611—26no—
206C2×C67⋊C8—26no—
207C2×C67⋊C8—26no—
208C2×C67⋊C8C2411yescharacteristic
209C2×C67⋊C8C2413yes—
210C2×C67⋊C8C2413yes—
211C2×C67⋊C8C2411yescharacteristic
212C8×D67—22no—
213C8×D67—26no—
214C8×D67—26no—
215C8×D67—26no—
216C8×D67—212no—
217C4⋊Dic67C22×C413yes—
218C4⋊Dic67C22×C413yes—
219Dic67⋊C4C22×C413yes—
220Dic67⋊C4C22×C413yes—
221Dic67⋊C4C22×C411yescharacteristic
222Dic67⋊C4C22×C411yescharacteristic
223Dic67⋊C4C22×C413yes—
224Dic67⋊C4C22×C413yes—
225Dic67⋊C4C22×C413yes—
226Dic67⋊C4C22×C413yes—
227C22⋊Dic67C22×C416yes—
228(C2×D67)⋊C4C22×C413yes—
229(C2×D67)⋊C4C22×C413yes—
230(C2×D67)⋊C4C22×C411yescharacteristic
231(C2×D67)⋊C4C22×C411yescharacteristic
232(C2×D67)⋊C4C22×C413yes—
233(C2×D67)⋊C4C22×C413yes—
234(C2×D67)⋊C4C22×C413yes—
235(C2×D67)⋊C4C22×C413yes—
236C4×Dic67C22×C416yes—
237C4×Dic67C22×C416yes—
238C4×Dic67C22×C413yes—
239C4×Dic67C22×C413yes—
240C4×Dic67C2413yes—
241C4×Dic67C2411yescharacteristic
242#41×C67C2×D414yes—
243#41×C67C2×Q814yes—
244C2×Q8×C67C22×C411yescharacteristic
245C2×D4×C67C22×C413yes—
246C22×C4×C67C22×C413yes—
247C22×C4×C67C22×C413yes—
248C22×C4×C67C2413yes—
249M16×C67—26no—
250M16×C67—26no—
251C2×C8×C67—26no—
252C2×C8×C67—26no—
253C2×C8×C67C2411yescharacteristic
254C2×C8×C67C2411yescharacteristic
255C2×C8×C67C2413yes—
256C2×C8×C67C2413yes—
257C4⋊C4×C67C22×C413yes—
258C4⋊C4×C67C22×C413yes—
259C22⋊C4×C67C22×C416yes—
260C42×C67C22×C413yes—
261C42×C67C22×C413yes—
262C42×C67C2411yescharacteristic
263C42×C67C2413yes—
264C23×C67C23×C413yes—
265C22×D67—43no—
266C22×D67—43no—
267C22×D67C2×C4⋊C4112yes—
268C22×D67C23×C411yescharacteristic
269C22×D67C23×C413yes—
270Q8×C67C2×C4⋊C414yes—
271D4×C67C2×C4⋊C4112yes—
272C2×C4×C67—43no—
273C2×C4×C67—43no—
274C2×C4×C67C23×C411yescharacteristic
275C2×C4×C67C23×C411yescharacteristic
276C2×C4×C67C23×C413yes—
277C2×C4×C67C23×C413yes—
278C2×C4×C67C23×C413yes—
279C2×C4×C67C22×D416yes—
280C2×C4×C67C22×Q816yes—
281C2×C4×C67C2511yescharacteristic
282C22⋊D67C2×C4⋊C4124yes—
283C2×Dic67—43no—
284C2×Dic67—43no—
285C2×Dic67C2×C4⋊C4112yes—
286C2×Dic67C23×C411yescharacteristic
287C2×Dic67C23×C411yescharacteristic
288C2×Dic67C23×C413yes—
289C2×Dic67C23×C413yes—
290C2×Dic67C23×C413yes—
291C2×Dic67C23×C411yescharacteristic
292D268C2×C4⋊C4112yes—
293C4×D67—46no—
294C4×D67—46no—
295C4×D67C2×C4⋊C4112yes—
296C4×D67C2×C4⋊C4112yes—
297C4×D67C22×D412yes—
298C4×D67C22×D416yes—
299C4×D67C22×Q812yes—
300C4×D67C22×Q816yes—
301Dic134C2×C4⋊C4112yes—
302C8×C67—21no—
303C8×C67—21no—
304C8×C67—23no—
305C8×C67—23no—
306C67⋊C8—21no—
307C67⋊C8—23no—
308C67⋊C8—23no—
309C67⋊C8—21no—
310C22×C67—23no—
311C22×C67—23no—
312C22×C67C22×C4⋊C416yes—
313C22×C67C24×C411yescharacteristic
314C2×D67—23no—
315C2×D67—23no—
316C2×D67—21no—
317C2×D67—21no—
318C2×D67—412no—
319C2×D67C22×C4⋊C412yes—
320C2×D67C22×C4⋊C416yes—
321C4×C67—23no—
322C4×C67—23no—
323C4×C67—21no—
324C4×C67—21no—
325C4×C67C22×C4⋊C416yes—
326C4×C67C23×D411yescharacteristic
327C4×C67C23×Q811yescharacteristic
328Dic67—23no—
329Dic67—23no—
330Dic67—21no—
331Dic67—21no—
332Dic67C22×C4⋊C416yes—
333Dic67C22×C4⋊C412yes—
334#60100—671nomaximal, Sylow
335C2×C67—26no—
336C2×C67C23×C4⋊C411yescharacteristic
337C2×C67#357311yescharacteristic
338C2×C67#357311yescharacteristic
339D67—22no—
340D67—26no—
341C2×#568—671no—
342C22×#131—671no—
343#3428—671no—
344#2906—673no—
345#2906—673no—
346#2906—673no—
347#2906—673no—
348#2906—671no—
349#2906—671no—
350#2906—671no—
351#2906D6711yescharacteristic, complemented
352#2905—673no—
353#2905—673no—
354C2×#424—673no—
355C2×#424—673no—
356C67#6010011yescharacteristic, complemented, Sylow
357C22×#41—671no—
358#568—1348no—
359C2×#131—671no—
360C2×#131—671no—
361C2×#131—673no—
362C2×#131—673no—
363C2×#131—673no—
364C2×#131—673no—
365C2×#131—1348no—
366C2×#131C2×D6711yescharacteristic
367C2×#131C2×D6711yescharacteristic
368C22×M16—673no—
369C22×M16—673no—
370C22×M16—673no—
371C23×C8—673no—
372#520—671no—
373#520—671no—
374#520—673no—
375#520—673no—
376#519—671no—
377#519—671no—
378#518—673no—
379#518—673no—
380C4×#41—671no—
381C4×#41—673no—
382C4×#41—673no—
383C4×#41C2×D6711yescharacteristic
384C2×#117—673no—
385C2×#117—673no—
386#424—673no—
387#424—673no—
388#424—673no—
389#424—673no—
390#424—673no—
391#424—673no—
392#424—673no—
393#424—671no—
394#424—676no—
395#424—673no—
396#424—673no—
397#424—673no—
398#424—673no—
399#424—673no—
400#424—673no—
401#424—676no—
402#424—676no—
403#424C2×D6713yescomplemented
404#424C2×D6713yescomplemented
405#423—673no—
406#423—673no—
407#423—673no—
408#423—676no—
409#423—676no—
410#423C2×D6713yescomplemented
411C2×C4⋊C8—673no—
412C2×C4⋊C8—673no—
413C2×C4⋊C8—673no—
414C2×C4⋊C8—676no—
415C2×C4⋊C8—676no—
416C2×C4⋊C8C2×D6713yescomplemented
417C2×#41—678no—
418C2×#41—678no—
419C2×#41—671no—
420C2×#41—673no—
421C2×#41—673no—
422C2×#41C22×D6711yescharacteristic
423C22×Q8—671no—
424C22×D4—673no—
425C23×C4—673no—
426#131—24no—
427#131—24no—
428#131—13412no—
429#131—13412no—
430#131—13412no—
431#131—13412no—
432#131—1344no—
433#131—1344no—
434C2×M16—673no—
435C2×M16—673no—
436C2×M16—673no—
437C2×M16—671no—
438C2×M16—676no—
439C2×M16—673no—
440C2×M16—673no—
441C2×M16—13412no—
442C2×M16—13412no—
443C2×M16—13412no—
444C2×M16C22×D6713yes—
445C2×M16C22×D6713yes—
446C22×C8—673no—
447C22×C8—673no—
448C22×C8—671no—
449C22×C8—673no—
450C22×C8—673no—
451C22×C8—673no—
452C22×C8—676no—
453C22×C8—13412no—
454C22×C8C22×D6713yes—
455C22×C8C22×D6713yes—
456C4×Q8—671no—
457C4×Q8—671no—
458C4×Q8—673no—
459C4×Q8—673no—
460C4×Q8—673no—
461C4×Q8—673no—
462C4×Q8C4×D6711yescharacteristic
463C4×Q8C4×D6711yescharacteristic
464C4×D4—673no—
465C4×D4—673no—
466C4×D4—676no—
467C4×D4—676no—
468C4×D4—673no—
469C4×D4—673no—
470C4×D4—676no—
471C4×D4—676no—
472C4×D4—673no—
473C4×D4—673no—
474C4×D4C4×D6713yes—
475C4×D4C4×D6713yes—
476#117—673no—
477#117—673no—
478#117—673no—
479#117—676no—
480#117—673no—
481#117—673no—
482#117—673no—
483#117—673no—
484#117—673no—
485#117—671no—
486#117—673no—
487#117—673no—
488#117C22×D6713yes—
489C2×C4⋊C4—673no—
490C2×C4⋊C4—673no—
491C2×C4⋊C4—673no—
492C2×C4⋊C4—673no—
493C2×C22⋊C4—673no—
494C2×C22⋊C4—673no—
495C2×C22⋊C4—676no—
496C2×C42—673no—
497C2×C42—676no—
498C2×C42C22×D6713yes—
499C4⋊C8—673no—
500C4⋊C8—671no—
501C4⋊C8—673no—
502C4⋊C8—671no—
503C4⋊C8—676no—
504C4⋊C8—676no—
505C4⋊C8—673no—
506C4⋊C8—673no—
507C4⋊C8—673no—
508C4⋊C8—673no—
509C4⋊C8—673no—
510C4⋊C8—671no—
511C4⋊C8—676no—
512C4⋊C8—673no—
513C4⋊C8—673no—
514C4⋊C8C22×D6713yes—
515C4⋊C8C22×D6716yes—
516C4⋊C8C22×D6711yescharacteristic
517C4⋊C8C22×D6713yes—
518C4⋊C8C22×D6713yes—
519C24—673no—
520#41—678no—
521#41—6724no—
522#41—6712no—
523#41—6712no—
524#41D4×D6714yes—
525#41Q8×D6714yes—
526C2×Q8—678no—
527C2×Q8—673no—
528C2×Q8C2×C4×D6711yescharacteristic
529C2×D4—676no—
530C2×D4—6724no—
531C2×D4—673no—
532C2×D4C2×C4×D6713yes—
533C22×C4—673no—
534C22×C4—673no—
535C22×C4—676no—
536C22×C4—676no—
537C22×C4—673no—
538C22×C4—673no—
539C22×C4—673no—
540C22×C4—6712no—
541C22×C4—6712no—
542C22×C4—673no—
543C22×C4—671no—
544C22×C4C2×C4×D6713yes—
545C22×C4C2×C4×D6713yes—
546C22×C4C23×D6713yes—
547M16—26no—
548M16—26no—
549M16—1342no—
550M16—1346no—
551M16—1346no—
552M16—1346no—
553M16—13412no—
554M16—1346no—
555M16—1346no—
556C2×C8—26no—
557C2×C8—26no—
558C2×C8—671no—
559C2×C8—671no—
560C2×C8—673no—
561C2×C8—673no—
562C2×C8—1342no—
563C2×C8—1346no—
564C2×C8—1346no—
565C2×C8—1346no—
566C2×C8—13412no—
567C2×C8—1346no—
568C2×C8—1346no—
569C2×C8C23×D6711yescharacteristic
570C2×C8C23×D6713yes—
571C2×C8C23×D6713yes—
572C2×C8C23×D6711yescharacteristic
573C4⋊C4—673no—
574C4⋊C4—673no—
575C4⋊C4—671no—
576C4⋊C4—671no—
577C4⋊C4—673no—
578C4⋊C4—673no—
579C4⋊C4—673no—
580C4⋊C4—673no—
581C4⋊C4—673no—
582C4⋊C4—673no—
583C4⋊C4C2×C4×D6713yes—
584C4⋊C4C2×C4×D6713yes—
585C22⋊C4—676no—
586C22⋊C4—673no—
587C22⋊C4—673no—
588C22⋊C4—671no—
589C22⋊C4—671no—
590C22⋊C4—673no—
591C22⋊C4—673no—
592C22⋊C4—673no—
593C22⋊C4—673no—
594C22⋊C4C2×C4×D6716yes—
595C42—676no—
596C42—676no—
597C42—673no—
598C42—673no—
599C42—671no—
600C42—673no—
601C42C2×C4×D6713yes—
602C42C2×C4×D6713yes—
603C42C23×D6713yes—
604C42C23×D6711yescharacteristic
605C23—2683no—
606C23—2683no—
607C23—6712no—
608C23—671no—
609C23—673no—
610C23C22×C4×D6713yes—
611Q8—6712no—
612Q8C4⋊C4×D6714yes—
613D4—6724no—
614D4—6712no—
615D4C4⋊C4×D67112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—2686no—
619C2×C4—2686no—
620C2×C4—2683no—
621C2×C4—2683no—
622C2×C4—6712no—
623C2×C4—673no—
624C2×C4—671no—
625C2×C4—6712no—
626C2×C4—6712no—
627C2×C4—672no—
628C2×C4—676no—
629C2×C4—672no—
630C2×C4—676no—
631C2×C4—673no—
632C2×C4—671no—
633C2×C4—673no—
634C2×C4—671no—
635C2×C4C22×C4×D6713yes—
636C2×C4C22×C4×D6713yes—
637C2×C4C22×C4×D6711yescharacteristic
638C2×C4C22×C4×D6711yescharacteristic
639C2×C4C22×C4×D6713yes—
640C2×C4C2×D4×D6716yes—
641C2×C4C2×Q8×D6716yes—
642C2×C4C24×D6711yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—1341no—
648C8—1343no—
649C8—1343no—
650C8—1341no—
651C22—23no—
652C22—23no—
653C22—26812no—
654C22—672no—
655C22—676no—
656C22—1343no—
657C22—1341no—
658C22—1343no—
659C22—1341no—
660C22C2×C4⋊C4×D6716yes—
661C22C23×C4×D6711yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—672no—
667C4—676no—
668C4—1343no—
669C4—1341no—
670C4—1343no—
671C4—1341no—
672C4C2×C4⋊C4×D6716yes—
673C4C22×D4×D6711yescharacteristic
674C4C22×Q8×D6711yescharacteristic
675C2—26no—
676C2—1342no—
677C2—1346no—
678C2C22×C4⋊C4×D6711yescharacteristic
679C2#2257492011yescharacteristic
680C2#2257492211yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D67
commutator, socleC22×C67C24×C4
FittingC67×#2906C2
prime radicalC2×#41×D67C22
cosocleC2×C4×C67C25
hypercenter#2906D67
hypocenterC67#60100
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #22568778C2semidirect
5. #22568777C2semidirect
6. #22568776C2semidirect
7. #22568776C2semidirect
8. #22568775C2semidirect
9. #22568775C2semidirect
10. #22568774C2semidirect
11. #22568771C2semidirect
12. #22568770C2semidirect
13. C2×#16863421C2semidirect
14. #424×D67C2semidirect
15. C67×#2906C2semidirect
42. #16863424C22semidirect
43. #16863424C22semidirect
44. #16863423C22semidirect
45. #16863423C22semidirect
46. #16863422C22semidirect
47. #16863422C22semidirect
53. #16863421C22semidirect
54. #16863421C22semidirect
55. #16863421C22semidirect
56. #16863421C22semidirect
57. #16863421C22semidirect
58. #16863421C22semidirect
59. #16863420C22semidirect
60. #16863419C22semidirect
61. #16863419C22semidirect
62. #16863418C22semidirect
63. #16863418C22semidirect
64. C2×C4⋊(C67⋊C8)C22semidirect
65. C2×Dic67⋊C8C22semidirect
66. C2×Dic67⋊C8C22semidirect
67. C4⋊C8×D67C22semidirect
68. C4⋊C8×D67C22semidirect
72. #424×C67C22semidirect
73. #424×C67C22semidirect
74. #423×C67C22semidirect
75. C2×C4⋊C8×C67C22semidirect
351. #2906D67semidirect
356. C67#60100semidirect
403. #424C2×D67semidirect
404. #424C2×D67semidirect
410. #423C2×D67semidirect
416. C2×C4⋊C8C2×D67semidirect

Maximal subgroups

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

subgroupindex
C2×#168641612
C2×#131×D672
#225734082
#225687782
#225687772
#225687762
#225687752
#225687742
#225687712
#225687702
C2×#168634212
#424×D672
C67×#29062
#6010067