Finite Group Databasebeta

← #32861086

Subgroups — #32861086

Order 18176.

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×#17986764C211yesmaximal, characteristic
2C2×#131×D71C211yesmaximal, characteristic
3#22601539C211yesmaximal, characteristic
4#22596909C213yesmaximal, complemented
5#22596908C211yesmaximal, characteristic, complemented
6#22596907C213yesmaximal, complemented
7#22596907C213yesmaximal, complemented
8#22596906C211yesmaximal, characteristic, complemented
9#22596906C211yesmaximal, characteristic, complemented
10#22596905C213yesmaximal, complemented
11#22596902C213yesmaximal, complemented
12#22596901C213yesmaximal, complemented
13C2×#17986024C213yesmaximal, complemented
14#424×D71C213yesmaximal, complemented
15C71×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D71C2211yescharacteristic
17#17986764—28no—
18C2×#14556136C2213yes—
19C2×#14556136C2213yes—
20C2×#14556135C2211yescharacteristic
21C2×#14556135C2211yescharacteristic
22C2×#14556134C2213yes—
23C2×#14556134C2213yes—
24#131×D71—28no—
25C22×#11765848C2213yes—
26C2×M16×D71C2213yes—
27C2×M16×D71C2213yes—
28C22×C8×D71C2213yes—
29#17986481C411yescharacteristic
30#17986481C411yescharacteristic
31#17986478C413yes—
32#17986478C413yes—
33#17986475C411yescharacteristic
34#17986475C411yescharacteristic
35#17986471C413yes—
36#17986471C413yes—
37#41×Dic71C2211yescharacteristic
38C4×#11765865C2213yes—
39#17986467C2213yes—
40C2×#14556085C2213yes—
41#117×D71C2213yes—
42#17986027C2213yescomplemented
43#17986027C2213yescomplemented
44#17986026C2213yescomplemented
45#17986026C2213yescomplemented
46#17986025C2213yescomplemented
47#17986025C2213yescomplemented
48#17986024C2213yes—
49#17986024C2216yes—
50#17986024C2211yescharacteristic
51#17986024C2213yes—
52#17986024C2213yes—
53#17986024C2213yescomplemented
54#17986024C2213yescomplemented
55#17986024C2213yescomplemented
56#17986024C2213yescomplemented
57#17986024C2216yescomplemented
58#17986024C2216yescomplemented
59#17986023C2213yescomplemented
60#17986022C2213yescomplemented
61#17986022C2213yescomplemented
62#17986021C2216yescomplemented
63#17986021C2216yescomplemented
64C2×C4⋊(C71⋊C8)C2213yescomplemented
65C2×Dic71⋊C8C2213yescomplemented
66C2×Dic71⋊C8C2213yescomplemented
67C4⋊C8×D71C2216yescomplemented
68C4⋊C8×D71C2216yescomplemented
69C2×#131×C71C2211yescharacteristic
70C2×#131×C71C2211yescharacteristic
71C4×#41×C71C2211yescharacteristic
72#424×C71C2213yescomplemented
73#424×C71C2213yescomplemented
74#423×C71C2213yescomplemented
75C2×C4⋊C8×C71C2213yescomplemented
76C2×#11765866C2×C411yescharacteristic
77C2×#11765865C2313yes—
78C2×#11765864C2×C413yes—
79#41×D71D418yes—
80#41×D71Q818yes—
81C2×Q8×D71C2×C411yescharacteristic
82C2×D4×D71C2×C413yes—
83C22×C4×D71C2313yes—
84#14556136—212no—
85#14556136—212no—
86#14556135—24no—
87#14556135—24no—
88#14556134—212no—
89#14556134—212no—
90C2×#11765849C2313yes—
91C2×#11765849C2313yes—
92C2×#11765848—212no—
93C2×#11765848C2313yes—
94C2×#11765848C2316yes—
95C2×#11765848C2311yescharacteristic
96C2×#11765848C2313yes—
97C2×#11765848C2313yes—
98M16×D71—212no—
99M16×D71—212no—
100C22×C71⋊C8C2313yes—
101C22×C71⋊C8C2313yes—
102C2×C8×D71—212no—
103C2×C8×D71C2311yescharacteristic
104C2×C8×D71C2313yes—
105C2×C8×D71C2313yes—
106C2×C8×D71C2313yes—
107C2×C8×D71C2316yes—
108Q8×Dic71C2×C411yescharacteristic
109Q8×Dic71C2×C411yescharacteristic
110C4×Dic142C2×C413yes—
111C4×Dic142C2×C413yes—
112#14556093C2×C413yes—
113#14556093C2×C413yes—
114C4×D284C2×C413yes—
115C4×D284C2×C413yes—
116D4×Dic71C2×C413yes—
117D4×Dic71C2×C413yes—
118#14556090C2×C413yes—
119#14556090C2×C413yes—
120C4×C22⋊D71C2×C416yes—
121C4×C22⋊D71C2×C416yes—
122(C22⋊D71)⋊C4C2×C416yes—
123(C22⋊D71)⋊C4C2×C416yes—
124#14556087C2313yes—
125#14556086C2×C413yes—
126#14556086C2×C413yes—
127#14556085C2×C413yes—
128#14556085C2×C413yes—
129#14556085C2×C413yes—
130#14556085C2×C413yes—
131#14556085C2313yes—
132#14556085C2311yescharacteristic
133#14556085C2313yes—
134#14556085C2313yes—
135#14556084C2×C416yes—
136C2×Dic71⋊C4C2×C413yes—
137C2×Dic71⋊C4C2×C413yes—
138C4⋊C4×D71C2×C413yes—
139C4⋊C4×D71C2×C413yes—
140C2×(C2×D71)⋊C4C2×C413yes—
141C2×(C2×D71)⋊C4C2×C413yes—
142C22⋊C4×D71C2×C416yes—
143C2×C4×Dic71C2313yes—
144C42×D71C2316yes—
145C4⋊(C71⋊C8)C2313yes—
146C4⋊(C71⋊C8)C2316yes—
147C4⋊(C71⋊C8)C2311yescharacteristic
148C4⋊(C71⋊C8)C2313yes—
149C4⋊(C71⋊C8)C2313yes—
150Dic71⋊C8C2313yes—
151Dic71⋊C8C2313yes—
152Dic71⋊C8C2316yes—
153Dic71⋊C8C2316yes—
154Dic71⋊C8C2311yescharacteristic
155Dic71⋊C8C2311yescharacteristic
156Dic71⋊C8C2313yes—
157Dic71⋊C8C2313yes—
158Dic71⋊C8C2313yes—
159Dic71⋊C8C2313yes—
160C2×#41×C71C2311yescharacteristic
161#131×C71—24no—
162#131×C71—24no—
163C2×M16×C71C2313yes—
164C2×M16×C71C2313yes—
165C22×C8×C71C2313yes—
166C22×C8×C71C2313yes—
167C4×Q8×C71C2×C411yescharacteristic
168C4×Q8×C71C2×C411yescharacteristic
169C4×D4×C71C2×C413yes—
170C4×D4×C71C2×C413yes—
171#117×C71C2313yes—
172C2×C42×C71C2313yes—
173C4⋊C8×C71C2311yescharacteristic
174C4⋊C8×C71C2313yes—
175C4⋊C8×C71C2313yes—
176C4⋊C8×C71C2313yes—
177C4⋊C8×C71C2316yes—
178C23×D71C22×C413yes—
179#11765866C4⋊C418yes—
180#11765865C2×D4112yes—
181#11765865C2×Q8112yes—
182#11765864C4⋊C4124yes—
183C2×Dic142C22×C413yes—
184Q8×D71C4⋊C418yes—
185C2×D284C22×C413yes—
186C2×C22⋊D71C22×C416yes—
187D4×D71C4⋊C4124yes—
188C22×Dic71C22×C413yes—
189C22×Dic71C22×C413yes—
190C22×Dic71C22×C413yes—
191C2×C4×D71C22×C416yes—
192C2×C4×D71C22×C416yes—
193C2×C4×D71C22×C413yes—
194C2×C4×D71C22×C413yes—
195C2×C4×D71C2×D4112yes—
196C2×C4×D71C2×Q8112yes—
197C2×C4×D71C2411yescharacteristic
198C2×C4×D71C2413yes—
199#11765849—26no—
200#11765849—26no—
201#11765848—26no—
202#11765848—212no—
203#11765848—22no—
204#11765848—26no—
205#11765848—26no—
206C2×C71⋊C8—26no—
207C2×C71⋊C8—26no—
208C2×C71⋊C8C2411yescharacteristic
209C2×C71⋊C8C2413yes—
210C2×C71⋊C8C2413yes—
211C2×C71⋊C8C2411yescharacteristic
212C8×D71—22no—
213C8×D71—26no—
214C8×D71—26no—
215C8×D71—26no—
216C8×D71—212no—
217C4⋊Dic71C22×C413yes—
218C4⋊Dic71C22×C413yes—
219Dic71⋊C4C22×C413yes—
220Dic71⋊C4C22×C413yes—
221Dic71⋊C4C22×C411yescharacteristic
222Dic71⋊C4C22×C411yescharacteristic
223Dic71⋊C4C22×C413yes—
224Dic71⋊C4C22×C413yes—
225Dic71⋊C4C22×C413yes—
226Dic71⋊C4C22×C413yes—
227C22⋊Dic71C22×C416yes—
228(C2×D71)⋊C4C22×C413yes—
229(C2×D71)⋊C4C22×C413yes—
230(C2×D71)⋊C4C22×C411yescharacteristic
231(C2×D71)⋊C4C22×C411yescharacteristic
232(C2×D71)⋊C4C22×C413yes—
233(C2×D71)⋊C4C22×C413yes—
234(C2×D71)⋊C4C22×C413yes—
235(C2×D71)⋊C4C22×C413yes—
236C4×Dic71C22×C416yes—
237C4×Dic71C22×C416yes—
238C4×Dic71C22×C413yes—
239C4×Dic71C22×C413yes—
240C4×Dic71C2413yes—
241C4×Dic71C2411yescharacteristic
242#41×C71C2×D414yes—
243#41×C71C2×Q814yes—
244C2×Q8×C71C22×C411yescharacteristic
245C2×D4×C71C22×C413yes—
246C22×C4×C71C22×C413yes—
247C22×C4×C71C22×C413yes—
248C22×C4×C71C2413yes—
249M16×C71—26no—
250M16×C71—26no—
251C2×C8×C71—26no—
252C2×C8×C71—26no—
253C2×C8×C71C2411yescharacteristic
254C2×C8×C71C2411yescharacteristic
255C2×C8×C71C2413yes—
256C2×C8×C71C2413yes—
257C4⋊C4×C71C22×C413yes—
258C4⋊C4×C71C22×C413yes—
259C22⋊C4×C71C22×C416yes—
260C42×C71C22×C413yes—
261C42×C71C22×C413yes—
262C42×C71C2411yescharacteristic
263C42×C71C2413yes—
264C23×C71C23×C413yes—
265C22×D71—43no—
266C22×D71—43no—
267C22×D71C2×C4⋊C4112yes—
268C22×D71C23×C411yescharacteristic
269C22×D71C23×C413yes—
270Q8×C71C2×C4⋊C414yes—
271D4×C71C2×C4⋊C4112yes—
272C2×C4×C71—43no—
273C2×C4×C71—43no—
274C2×C4×C71C23×C411yescharacteristic
275C2×C4×C71C23×C411yescharacteristic
276C2×C4×C71C23×C413yes—
277C2×C4×C71C23×C413yes—
278C2×C4×C71C23×C413yes—
279C2×C4×C71C22×D416yes—
280C2×C4×C71C22×Q816yes—
281C2×C4×C71C2511yescharacteristic
282C22⋊D71C2×C4⋊C4124yes—
283C2×Dic71—43no—
284C2×Dic71—43no—
285C2×Dic71C2×C4⋊C4112yes—
286C2×Dic71C23×C411yescharacteristic
287C2×Dic71C23×C411yescharacteristic
288C2×Dic71C23×C413yes—
289C2×Dic71C23×C413yes—
290C2×Dic71C23×C413yes—
291C2×Dic71C23×C411yescharacteristic
292D284C2×C4⋊C4112yes—
293C4×D71—46no—
294C4×D71—46no—
295C4×D71C2×C4⋊C4112yes—
296C4×D71C2×C4⋊C4112yes—
297C4×D71C22×D412yes—
298C4×D71C22×D416yes—
299C4×D71C22×Q812yes—
300C4×D71C22×Q816yes—
301Dic142C2×C4⋊C4112yes—
302C8×C71—21no—
303C8×C71—21no—
304C8×C71—23no—
305C8×C71—23no—
306C71⋊C8—21no—
307C71⋊C8—23no—
308C71⋊C8—23no—
309C71⋊C8—21no—
310C22×C71—23no—
311C22×C71—23no—
312C22×C71C22×C4⋊C416yes—
313C22×C71C24×C411yescharacteristic
314C2×D71—23no—
315C2×D71—23no—
316C2×D71—21no—
317C2×D71—21no—
318C2×D71—412no—
319C2×D71C22×C4⋊C412yes—
320C2×D71C22×C4⋊C416yes—
321C4×C71—23no—
322C4×C71—23no—
323C4×C71—21no—
324C4×C71—21no—
325C4×C71C22×C4⋊C416yes—
326C4×C71C23×D411yescharacteristic
327C4×C71C23×Q811yescharacteristic
328Dic71—23no—
329Dic71—23no—
330Dic71—21no—
331Dic71—21no—
332Dic71C22×C4⋊C416yes—
333Dic71C22×C4⋊C412yes—
334#60100—711nomaximal, Sylow
335C2×C71—26no—
336C2×C71C23×C4⋊C411yescharacteristic
337C2×C71#357311yescharacteristic
338C2×C71#357311yescharacteristic
339D71—22no—
340D71—26no—
341C2×#568—711no—
342C22×#131—711no—
343#3428—711no—
344#2906—713no—
345#2906—713no—
346#2906—713no—
347#2906—713no—
348#2906—711no—
349#2906—711no—
350#2906—711no—
351#2906D7111yescharacteristic, complemented
352#2905—713no—
353#2905—713no—
354C2×#424—713no—
355C2×#424—713no—
356C71#6010011yescharacteristic, complemented, Sylow
357C22×#41—711no—
358#568—1428no—
359C2×#131—711no—
360C2×#131—711no—
361C2×#131—713no—
362C2×#131—713no—
363C2×#131—713no—
364C2×#131—713no—
365C2×#131—1428no—
366C2×#131C2×D7111yescharacteristic
367C2×#131C2×D7111yescharacteristic
368C22×M16—713no—
369C22×M16—713no—
370C22×M16—713no—
371C23×C8—713no—
372#520—711no—
373#520—711no—
374#520—713no—
375#520—713no—
376#519—711no—
377#519—711no—
378#518—713no—
379#518—713no—
380C4×#41—711no—
381C4×#41—713no—
382C4×#41—713no—
383C4×#41C2×D7111yescharacteristic
384C2×#117—713no—
385C2×#117—713no—
386#424—713no—
387#424—713no—
388#424—713no—
389#424—713no—
390#424—713no—
391#424—713no—
392#424—713no—
393#424—711no—
394#424—716no—
395#424—713no—
396#424—713no—
397#424—713no—
398#424—713no—
399#424—713no—
400#424—713no—
401#424—716no—
402#424—716no—
403#424C2×D7113yescomplemented
404#424C2×D7113yescomplemented
405#423—713no—
406#423—713no—
407#423—713no—
408#423—716no—
409#423—716no—
410#423C2×D7113yescomplemented
411C2×C4⋊C8—713no—
412C2×C4⋊C8—713no—
413C2×C4⋊C8—713no—
414C2×C4⋊C8—716no—
415C2×C4⋊C8—716no—
416C2×C4⋊C8C2×D7113yescomplemented
417C2×#41—718no—
418C2×#41—718no—
419C2×#41—711no—
420C2×#41—713no—
421C2×#41—713no—
422C2×#41C22×D7111yescharacteristic
423C22×Q8—711no—
424C22×D4—713no—
425C23×C4—713no—
426#131—24no—
427#131—24no—
428#131—14212no—
429#131—14212no—
430#131—14212no—
431#131—14212no—
432#131—1424no—
433#131—1424no—
434C2×M16—713no—
435C2×M16—713no—
436C2×M16—713no—
437C2×M16—711no—
438C2×M16—716no—
439C2×M16—713no—
440C2×M16—713no—
441C2×M16—14212no—
442C2×M16—14212no—
443C2×M16—14212no—
444C2×M16C22×D7113yes—
445C2×M16C22×D7113yes—
446C22×C8—713no—
447C22×C8—713no—
448C22×C8—711no—
449C22×C8—713no—
450C22×C8—713no—
451C22×C8—713no—
452C22×C8—716no—
453C22×C8—14212no—
454C22×C8C22×D7113yes—
455C22×C8C22×D7113yes—
456C4×Q8—711no—
457C4×Q8—711no—
458C4×Q8—713no—
459C4×Q8—713no—
460C4×Q8—713no—
461C4×Q8—713no—
462C4×Q8C4×D7111yescharacteristic
463C4×Q8C4×D7111yescharacteristic
464C4×D4—713no—
465C4×D4—713no—
466C4×D4—716no—
467C4×D4—716no—
468C4×D4—713no—
469C4×D4—713no—
470C4×D4—716no—
471C4×D4—716no—
472C4×D4—713no—
473C4×D4—713no—
474C4×D4C4×D7113yes—
475C4×D4C4×D7113yes—
476#117—713no—
477#117—713no—
478#117—713no—
479#117—716no—
480#117—713no—
481#117—713no—
482#117—713no—
483#117—713no—
484#117—713no—
485#117—711no—
486#117—713no—
487#117—713no—
488#117C22×D7113yes—
489C2×C4⋊C4—713no—
490C2×C4⋊C4—713no—
491C2×C4⋊C4—713no—
492C2×C4⋊C4—713no—
493C2×C22⋊C4—713no—
494C2×C22⋊C4—713no—
495C2×C22⋊C4—716no—
496C2×C42—713no—
497C2×C42—716no—
498C2×C42C22×D7113yes—
499C4⋊C8—713no—
500C4⋊C8—711no—
501C4⋊C8—713no—
502C4⋊C8—711no—
503C4⋊C8—716no—
504C4⋊C8—716no—
505C4⋊C8—713no—
506C4⋊C8—713no—
507C4⋊C8—713no—
508C4⋊C8—713no—
509C4⋊C8—713no—
510C4⋊C8—711no—
511C4⋊C8—716no—
512C4⋊C8—713no—
513C4⋊C8—713no—
514C4⋊C8C22×D7113yes—
515C4⋊C8C22×D7116yes—
516C4⋊C8C22×D7111yescharacteristic
517C4⋊C8C22×D7113yes—
518C4⋊C8C22×D7113yes—
519C24—713no—
520#41—718no—
521#41—7124no—
522#41—7112no—
523#41—7112no—
524#41D4×D7114yes—
525#41Q8×D7114yes—
526C2×Q8—718no—
527C2×Q8—713no—
528C2×Q8C2×C4×D7111yescharacteristic
529C2×D4—716no—
530C2×D4—7124no—
531C2×D4—713no—
532C2×D4C2×C4×D7113yes—
533C22×C4—713no—
534C22×C4—713no—
535C22×C4—716no—
536C22×C4—716no—
537C22×C4—713no—
538C22×C4—713no—
539C22×C4—713no—
540C22×C4—7112no—
541C22×C4—7112no—
542C22×C4—713no—
543C22×C4—711no—
544C22×C4C2×C4×D7113yes—
545C22×C4C2×C4×D7113yes—
546C22×C4C23×D7113yes—
547M16—26no—
548M16—26no—
549M16—1422no—
550M16—1426no—
551M16—1426no—
552M16—14212no—
553M16—1426no—
554M16—1426no—
555M16—1426no—
556C2×C8—26no—
557C2×C8—26no—
558C2×C8—711no—
559C2×C8—713no—
560C2×C8—713no—
561C2×C8—711no—
562C2×C8—1422no—
563C2×C8—1426no—
564C2×C8—1426no—
565C2×C8—1426no—
566C2×C8—14212no—
567C2×C8—1426no—
568C2×C8—1426no—
569C2×C8C23×D7111yescharacteristic
570C2×C8C23×D7113yes—
571C2×C8C23×D7113yes—
572C2×C8C23×D7111yescharacteristic
573C4⋊C4—713no—
574C4⋊C4—713no—
575C4⋊C4—711no—
576C4⋊C4—711no—
577C4⋊C4—713no—
578C4⋊C4—713no—
579C4⋊C4—713no—
580C4⋊C4—713no—
581C4⋊C4—713no—
582C4⋊C4—713no—
583C4⋊C4C2×C4×D7113yes—
584C4⋊C4C2×C4×D7113yes—
585C22⋊C4—716no—
586C22⋊C4—713no—
587C22⋊C4—713no—
588C22⋊C4—711no—
589C22⋊C4—711no—
590C22⋊C4—713no—
591C22⋊C4—713no—
592C22⋊C4—713no—
593C22⋊C4—713no—
594C22⋊C4C2×C4×D7116yes—
595C42—716no—
596C42—716no—
597C42—713no—
598C42—713no—
599C42—713no—
600C42—711no—
601C42C2×C4×D7113yes—
602C42C2×C4×D7113yes—
603C42C23×D7113yes—
604C42C23×D7111yescharacteristic
605C23—2843no—
606C23—2843no—
607C23—7112no—
608C23—711no—
609C23—713no—
610C23C22×C4×D7113yes—
611Q8—7112no—
612Q8C4⋊C4×D7114yes—
613D4—7124no—
614D4—7112no—
615D4C4⋊C4×D71112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—2846no—
619C2×C4—2846no—
620C2×C4—2843no—
621C2×C4—2843no—
622C2×C4—713no—
623C2×C4—711no—
624C2×C4—7112no—
625C2×C4—712no—
626C2×C4—716no—
627C2×C4—712no—
628C2×C4—716no—
629C2×C4—7112no—
630C2×C4—7112no—
631C2×C4—713no—
632C2×C4—711no—
633C2×C4—713no—
634C2×C4—711no—
635C2×C4C22×C4×D7113yes—
636C2×C4C22×C4×D7113yes—
637C2×C4C22×C4×D7111yescharacteristic
638C2×C4C22×C4×D7111yescharacteristic
639C2×C4C22×C4×D7113yes—
640C2×C4C2×D4×D7116yes—
641C2×C4C2×Q8×D7116yes—
642C2×C4C24×D7111yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—1421no—
648C8—1423no—
649C8—1423no—
650C8—1421no—
651C22—23no—
652C22—23no—
653C22—28412no—
654C22—712no—
655C22—716no—
656C22—1423no—
657C22—1421no—
658C22—1423no—
659C22—1421no—
660C22C2×C4⋊C4×D7116yes—
661C22C23×C4×D7111yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—712no—
667C4—716no—
668C4—1423no—
669C4—1421no—
670C4—1423no—
671C4—1421no—
672C4C2×C4⋊C4×D7116yes—
673C4C22×D4×D7111yescharacteristic
674C4C22×Q8×D7111yescharacteristic
675C2—26no—
676C2—1422no—
677C2—1426no—
678C2C22×C4⋊C4×D7111yescharacteristic
679C2#2260305111yescharacteristic
680C2#2260305311yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D71
commutator, socleC22×C71C24×C4
FittingC71×#2906C2
prime radicalC2×#41×D71C22
cosocleC2×C4×C71C25
hypercenter#2906D71
hypocenterC71#60100
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #22596909C2semidirect
5. #22596908C2semidirect
6. #22596907C2semidirect
7. #22596907C2semidirect
8. #22596906C2semidirect
9. #22596906C2semidirect
10. #22596905C2semidirect
11. #22596902C2semidirect
12. #22596901C2semidirect
13. C2×#17986024C2semidirect
14. #424×D71C2semidirect
15. C71×#2906C2semidirect
42. #17986027C22semidirect
43. #17986027C22semidirect
44. #17986026C22semidirect
45. #17986026C22semidirect
46. #17986025C22semidirect
47. #17986025C22semidirect
53. #17986024C22semidirect
54. #17986024C22semidirect
55. #17986024C22semidirect
56. #17986024C22semidirect
57. #17986024C22semidirect
58. #17986024C22semidirect
59. #17986023C22semidirect
60. #17986022C22semidirect
61. #17986022C22semidirect
62. #17986021C22semidirect
63. #17986021C22semidirect
64. C2×C4⋊(C71⋊C8)C22semidirect
65. C2×Dic71⋊C8C22semidirect
66. C2×Dic71⋊C8C22semidirect
67. C4⋊C8×D71C22semidirect
68. C4⋊C8×D71C22semidirect
72. #424×C71C22semidirect
73. #424×C71C22semidirect
74. #423×C71C22semidirect
75. C2×C4⋊C8×C71C22semidirect
351. #2906D71semidirect
356. C71#60100semidirect
403. #424C2×D71semidirect
404. #424C2×D71semidirect
410. #423C2×D71semidirect
416. C2×C4⋊C8C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179867642
C2×#131×D712
#226015392
#225969092
#225969082
#225969072
#225969062
#225969052
#225969022
#225969012
C2×#179860242
#424×D712
C71×#29062
#6010071