Finite Group Databasebeta

← #72245890

Subgroups — #72245890

Order 4032.

1428 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72245887C212yesmaximal, complemented
2#72245885C214yesmaximal, complemented
3C3×#10621415C212yesmaximal, complemented
4#72245821C212yesmaximal, complemented
5#72245801C212yesmaximal, complemented
6#72245744C211yesmaximal, characteristic, complemented
7#72245719C211yesmaximal, characteristic, complemented
8C2×C7×D4×C3⋊D3C211yesmaximal, characteristic, complemented
9D3×#6495—32nomaximal
10C23×C7×C3⋊D3—21no—
11C2×C32×C7×D4C2211yescharacteristic, complemented
12C2×C7×#638—21no—
13C7×D4×C3⋊D3—21no—
14C7×D4×C3⋊D3—21no—
15C7×D4×C3⋊D3C2212yes—
16C7×D4×C3⋊D3C2212yescomplemented
17C2×C7×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
18C2×C4×C7×C3⋊D3C2211yescharacteristic
19C3×#66728C2212yescomplemented
20#11759644—21no—
21#11759637—21no—
22#11759635C2211yescharacteristic, complemented
23C4×(C3⋊D3)⋊D7—21no—
24#11759631—21no—
25#11759630C2211yescharacteristic, complemented
26#11759628C2212yescomplemented
27C3×#66633C2214yescomplemented
28C3×#66632C2214yescomplemented
29C3×#66627C2212yescomplemented
30#11759220C2214yescomplemented
31#11759217C2214yescomplemented
32#11759216C2212yescomplemented
33#11759214C2212yescomplemented
34C2×D3×C7×D4—32no—
35C2×D3×C7×D4—61no—
36D3×#1157—32no—
37#10621415D312yescomplemented
38C3×#6495—32no—
39#10621058—34no—
40#10621056—34no—
41D3×#1142—34no—
42D3×#1141—34no—
43#10620866—32no—
44#10620861—32no—
45D3×#1136—32no—
46#10595100—71nomaximal, Hall
47C23×C32×C7—21no—
48C22×C7×C3⋊D3—21no—
49C22×C7×C3⋊D3—22no—
50C22×C7×C3⋊D3—22no—
51C22×C7×C3⋊D3—44no—
52C22×C7×C3⋊D3D411yescharacteristic
53C2×(C3⋊D3)⋊D7—21no—
54C32×C7×D4—21no—
55C32×C7×D4C2312yes—
56C2×C32×C4×C7C2311yescharacteristic
57C7×#638—22no—
58C7×#638—22no—
59C2×C7×C3⋊Dic3D411yescharacteristic
60C7×C4⋊(C3⋊D3)—21no—
61C7×C4⋊(C3⋊D3)C2312yes—
62C4×C7×C3⋊D3D411yescharacteristic
63C4×C7×C3⋊D3D411yescharacteristic
64C4×C7×C3⋊D3C2311yescharacteristic
65C4×C7×C3⋊D3C2311yescharacteristic
66C3×#4268—22no—
67C3×D84C2312yescomplemented
68C3×C4×D21—22no—
69C3×Dic42C2312yescomplemented
70#92696—21no—
71#92695—21no—
72#92694—22no—
73#92693—21no—
74D21⋊Dic3—22no—
75C3×C3⋊(C7⋊C8)C2314yescomplemented
76C2×#6495—91noHall
77C23×D3×C7—62no—
78C23×D3×C7—61no—
79C23×D3×C7—61no—
80C2×C3×C7×D4—21no—
81C2×C3×C7×D4C2×D312yescomplemented
82#66728C2×D312yescomplemented
83C2×C7×#67—62no—
84C2×C7×#67—61no—
85C2×C7×#67—61no—
86D3×C7×D4—34no—
87D3×C7×D4—34no—
88D3×C7×D4—62no—
89D3×C7×D4—62no—
90D3×C7×D4—62no—
91D3×C7×D4—62no—
92D3×C7×D4—61no—
93D3×C7×D4—61no—
94D3×C7×D4—61no—
95D3×C7×D4—61no—
96C2×C7×D12—32no—
97C2×C7×D12—61no—
98C2×C4×D3×C7—32no—
99C2×C4×D3×C7—61no—
100C3×#1157—32no—
101D3×C22⋊D7—62no—
102#66683—62no—
103D3×D28—32no—
104C4×D3×D7—62no—
105#66675—62no—
106#66673—32no—
107D3×Dic14—32no—
108#66669—32no—
109#66633C2×D314yescomplemented
110#66632C2×D314yescomplemented
111#66627C2×D312yescomplemented
112C3×#1142—34no—
113C3×#1141—34no—
114C3×#1136—32no—
115#66567—34no—
116#66564—34no—
117#66562—34no—
118#66560—34no—
119#66558—34no—
120D3×C7⋊C8—34no—
121C2×D4×C3⋊D3D711yescharacteristic, complemented
122#64306—71no—
123C3×#932—72no—
124#63937—74no—
125#63930—72no—
126#63926—72no—
127#63825—72no—
128#63818—71no—
129C22×C32×C7—22no—
130C22×C32×C7—42no—
131C22×C32×C7C2×D411yescharacteristic
132C2×C7×C3⋊D3—22no—
133C2×C7×C3⋊D3—22no—
134C2×C7×C3⋊D3—44no—
135C2×C7×C3⋊D3—42no—
136C2×C7×C3⋊D3—44no—
137C2×C7×C3⋊D3C2×D411yescharacteristic
138C2×C7×C3⋊D3C2×D411yescharacteristic
139C2×C3×D21—22no—
140(C3⋊D3)⋊D7—42no—
141C32×C4×C7C2×D411yescharacteristic
142C32×C4×C7C2411yescharacteristic
143C7×C3⋊Dic3C2×D411yescharacteristic
144C7×C3⋊Dic3C2×D411yescharacteristic
145C3×Dic21—22no—
146C22×C7×D4—91no—
147C2×#1157—91no—
148C2×#1142—92no—
149#6495—32no—
150#6495—92no—
151#6495—94no—
152C2×#1141—92no—
153C2×#1136—91no—
154D3×AGL(1,ℤ/8)—212no—
155C23×C3×C7—21no—
156C23×C3×C7—21no—
157C23×C3×C7—22no—
158C22×D3×C7—32no—
159C22×D3×C7—61no—
160C22×D3×C7—64no—
161C22×D3×C7—64no—
162C22×D3×C7—61no—
163C22×D3×C7—62no—
164C22×D3×C7—62no—
165C22×D3×C7—62no—
166C22×D3×C7—62no—
167C22×D3×C7—61no—
168C22×D3×C7—62no—
169C22×D3×C7—128no—
170C22×D3×C7—124no—
171C22×D3×C7—124no—
172C2×D3×D7—62no—
173C3×C7×D4—21no—
174C3×C7×D4—21no—
175C3×C7×D4—22no—
176C3×C7×D4—22no—
177C3×C7×D4C22×D314yes—
178C2×C3×C4×C7—21no—
179C2×C3×C4×C7C22×D312yes—
180#4268—22no—
181D84C22×D312yescomplemented
182C4×D21—22no—
183Dic42C22×D312yescomplemented
184C7×#67—64no—
185C7×#67—64no—
186C7×#67—62no—
187C7×#67—62no—
188C7×#67—62no—
189C7×#67—62no—
190C2×C7×Dic3—32no—
191C2×C7×Dic3—61no—
192C7×D12—34no—
193C7×D12—62no—
194C7×D12—61no—
195C7×D12—61no—
196C7×D12—62no—
197C4×D3×C7—32no—
198C4×D3×C7—32no—
199C4×D3×C7—32no—
200C4×D3×C7—32no—
201C4×D3×C7—61no—
202C4×D3×C7—61no—
203C4×D3×C7—61no—
204C4×D3×C7—61no—
205C3×C22⋊D7—62no—
206C3×D28—32no—
207C3×C4×D7—62no—
208C3×Dic14—32no—
209#4248—62no—
210#4247—62no—
211#4246—62no—
212#4245—62no—
213D21⋊C4—62no—
214D3×Dic7—62no—
215Dic3×D7—62no—
216C3⋊(C7⋊C8)C22×D314yescomplemented
217C3×C7⋊C8—34no—
218C23×C3⋊D3—21no—
219C2×C32×D4C2×D711yescharacteristic, complemented
220C2×#638—21no—
221D4×C3⋊D3—21no—
222D4×C3⋊D3—21no—
223D4×C3⋊D3C2×D712yes—
224D4×C3⋊D3C2×D712yescomplemented
225C2×C4⋊(C3⋊D3)C2×D711yescharacteristic, complemented
226C2×C4×C3⋊D3C2×D711yescharacteristic
227C3×#235—72no—
228#3811—141no—
229#3805—141no—
230#3802—71no—
231C4×D32—141no—
232#3798—141no—
233#3797—71no—
234#3796—72no—
235C3×#214—74no—
236C3×#213—74no—
237C3×#208—72no—
238#3717—74no—
239#3714—74no—
240#3712—72no—
241#3710—72no—
242C2×C32×C7—21no—
243C2×C32×C7—42no—
244C2×C32×C7C22×D411yescharacteristic
245C7×C3⋊D3—21no—
246C7×C3⋊D3—42no—
247C7×C3⋊D3AGL(1,ℤ/8)12yescomplemented
248C3×D21—42no—
249C24×C7—181no—
250C2×C7×D4—92no—
251C2×C7×D4—92no—
252C2×C7×D4—91no—
253C2×C7×D4—181no—
254C2×C7×D4—181no—
255C2×C7×D4—181no—
256C2×C7×D4D3211yescharacteristic, complemented
257C22×C4×C7—91no—
258C2×C22⋊D7—181no—
259#1157—32no—
260#1157—92no—
261#1157—181no—
262#1157—181no—
263C2×D28—91no—
264C2×C4×D7—181no—
265C2×Dic14—91no—
266#1142—34no—
267#1142—94no—
268#1141—34no—
269#1141—94no—
270#1136—32no—
271#1136—92no—
272C2×C7⋊C8—92no—
273D3×#41—212no—
274C2×D3×D4—32no—
275C2×D3×D4—61no—
276C3×AGL(1,ℤ/8)—212no—
277#949—212no—
278#932—72no—
279#914—214no—
280D3×SD16—214no—
281#911—214no—
282D3×D8—214no—
283#908—212no—
284D3×M16—212no—
285C22×C3×C7—22no—
286C22×C3×C7—22no—
287C22×C3×C7—24no—
288C22×C3×C7—21no—
289C22×C3×C7—42no—
290C22×C3×C7—42no—
291C22×C3×C7—44no—
292C22×C3×C7D3×D412yes—
293C2×D21—22no—
294C2×D3×C7—32no—
295C2×D3×C7—32no—
296C2×D3×C7—61no—
297C2×D3×C7—61no—
298C2×D3×C7—64no—
299C2×D3×C7—62no—
300C2×D3×C7—62no—
301C2×D3×C7—62no—
302C2×D3×C7—62no—
303C2×D3×C7—64no—
304C2×D3×C7—128no—
305C2×D3×C7—124no—
306C2×D3×C7—124no—
307C2×D3×C7—124no—
308C2×D3×C7—124no—
309C2×D3×C7—128no—
310C2×D3×C7—122no—
311C2×D3×C7—122no—
312C2×D3×C7—124no—
313C2×C3×D7—62no—
314D3×D7—124no—
315C3×C4×C7—21no—
316C3×C4×C7—21no—
317C3×C4×C7D3×D412yes—
318C3×C4×C7C23×D312yes—
319Dic21—22no—
320C3×Dic7—62no—
321C7×Dic3—32no—
322C7×Dic3—32no—
323C7×Dic3—61no—
324C7×Dic3—61no—
325C23×C32—21no—
326C22×C3⋊D3—21no—
327C22×C3⋊D3—22no—
328C22×C3⋊D3—22no—
329C22×C3⋊D3—44no—
330C22×C3⋊D3C22⋊D711yescharacteristic
331C2×D32—141no—
332C32×D4—21no—
333C32×D4C22×D712yes—
334C2×C32×C4C22×D711yescharacteristic
335#638—22no—
336#638—22no—
337C2×C3⋊Dic3C22⋊D711yescharacteristic
338C4⋊(C3⋊D3)—21no—
339C4⋊(C3⋊D3)C22×D712yes—
340C4×C3⋊D3C22⋊D711yescharacteristic
341C4×C3⋊D3C22⋊D711yescharacteristic
342C4×C3⋊D3C22×D711yescharacteristic
343C4×C3⋊D3C22×D711yescharacteristic
344C3×#67—142no—
345C3×D12—72no—
346C3×C4×D3—142no—
347C3×Dic6—72no—
348#627—141no—
349#626—142no—
350#625—141no—
351#624—141no—
352D3×Dic3—142no—
353C3×C3⋊C8—74no—
354C2×AGL(1,ℤ/8)—631noSylow
355C32×C7C2×AGL(1,ℤ/8)11yescharacteristic, complemented, Hall
356C23×C7—21no—
357C23×C7—91no—
358C23×C7—182no—
359C23×C7—182no—
360C23×C7—181no—
361C23×C7—364no—
362C22×D7—181no—
363C7×D4—21no—
364C7×D4—92no—
365C7×D4—182no—
366C7×D4—182no—
367C7×D4—181no—
368C7×D4C2×D3212yes—
369C2×C4×C7—91no—
370C2×C4×C7—91no—
371C2×C4×C7—91no—
372C2×C4×C7—91no—
373C2×C4×C7—91no—
374C2×C4×C7C2×D3211yescharacteristic
375C22⋊D7—62no—
376C22⋊D7—182no—
377C2×Dic7—181no—
378D28—32no—
379D28—181no—
380C4×D7—62no—
381C4×D7—182no—
382Dic14—32no—
383Dic14—181no—
384C7⋊C8—34no—
385C23×D3—62no—
386C23×D3—61no—
387C23×D3—61no—
388C3×#41—212no—
389C2×C3×D4—21no—
390C2×C3×D4D3×D712yescomplemented
391C2×#67—62no—
392C2×#67—61no—
393C2×#67—61no—
394#239—212no—
395D3×Q8—212no—
396#237—212no—
397#237—422no—
398D3×D4—34no—
399D3×D4—34no—
400D3×D4—62no—
401D3×D4—62no—
402D3×D4—62no—
403D3×D4—62no—
404D3×D4—61no—
405D3×D4—61no—
406D3×D4—61no—
407D3×D4—61no—
408D3×D4—212no—
409D3×D4—422no—
410#235—72no—
411#235—422no—
412C2×D12—32no—
413C2×D12—61no—
414C2×C4×D3—32no—
415C2×C4×D3—61no—
416C2×C4×D3—422no—
417C3×SD16—214no—
418C3×D8—214no—
419C3×M16—212no—
420#215—214no—
421#214—74no—
422#213—74no—
423#213—214no—
424#208—72no—
425D24—214no—
426#204—214no—
427ΓL(1,𝔽25)—214no—
428D3×C8—214no—
429C2×C3×C7—21no—
430C2×C3×C7—21no—
431C2×C3×C7—22no—
432C2×C3×C7—21no—
433C2×C3×C7—42no—
434C2×C3×C7—42no—
435C2×C3×C7—44no—
436C2×C3×C7C2×D3×D412yes—
437D21—42no—
438C3×D7—122no—
439D3×C7—34no—
440D3×C7—62no—
441D3×C7—61no—
442D3×C7—61no—
443D3×C7—62no—
444D3×C7—122no—
445D3×C7—122no—
446D3×C7—124no—
447C22×C32—22no—
448C22×C32—42no—
449C22×C32C2×C22⋊D711yescharacteristic
450C2×C3⋊D3—22no—
451C2×C3⋊D3—22no—
452C2×C3⋊D3—44no—
453C2×C3⋊D3—42no—
454C2×C3⋊D3—44no—
455C2×C3⋊D3C2×C22⋊D711yescharacteristic
456C2×C3⋊D3C2×C22⋊D711yescharacteristic
457C2×C3×D3—142no—
458D32—282no—
459C32×C4C2×C22⋊D711yescharacteristic
460C32×C4C23×D711yescharacteristic
461C3⋊Dic3C2×C22⋊D711yescharacteristic
462C3⋊Dic3C2×C22⋊D711yescharacteristic
463C3×Dic3—142no—
464C2×#41—631no—
465C22×D4—91no—
466AGL(1,ℤ/8)—212no—
467AGL(1,ℤ/8)—632no—
468AGL(1,ℤ/8)—634no—
469C2×SD16—632no—
470C2×D8—632no—
471C2×M16—631no—
472C22×C7—22no—
473C22×C7—42no—
474C22×C7—91no—
475C22×C7—91no—
476C22×C7—182no—
477C22×C7—182no—
478C22×C7—362no—
479C22×C7—364no—
480C22×C7—364no—
481C22×C7#381111yescharacteristic
482C2×D7—62no—
483C2×D7—362no—
484C4×C7—91no—
485C4×C7—91no—
486C4×C7#381111yescharacteristic
487C4×C7C22×D3211yescharacteristic
488Dic7—62no—
489C23×C3—21no—
490C23×C3—21no—
491C23×C3—22no—
492C22×D3—32no—
493C22×D3—61no—
494C22×D3—64no—
495C22×D3—64no—
496C22×D3—61no—
497C22×D3—62no—
498C22×D3—62no—
499C22×D3—62no—
500C22×D3—62no—
501C22×D3—61no—
502C22×D3—62no—
503C22×D3—128no—
504C22×D3—124no—
505C22×D3—124no—
506C22×D3—422no—
507C3×Q8—212no—
508C3×D4—21no—
509C3×D4—21no—
510C3×D4—22no—
511C3×D4—22no—
512C3×D4—212no—
513C3×D4—422no—
514C3×D4C2×D3×D714yes—
515C2×C3×C4—21no—
516C2×C3×C4—422no—
517C2×C3×C4C2×D3×D712yes—
518#67—64no—
519#67—64no—
520#67—62no—
521#67—62no—
522#67—62no—
523#67—62no—
524#67—142no—
525#67—422no—
526#67—422no—
527C2×Dic3—32no—
528C2×Dic3—61no—
529C2×Dic3—422no—
530D12—34no—
531D12—62no—
532D12—61no—
533D12—61no—
534D12—62no—
535D12—72no—
536D12—422no—
537C4×D3—32no—
538C4×D3—32no—
539C4×D3—32no—
540C4×D3—32no—
541C4×D3—61no—
542C4×D3—61no—
543C4×D3—61no—
544C4×D3—61no—
545C4×D3—142no—
546C4×D3—422no—
547C4×D3—422no—
548Dic6—72no—
549Dic6—422no—
550C3×C8—214no—
551C3⋊C8—74no—
552C3×C7—21no—
553C3×C7D3×AGL(1,ℤ/8)12yescomplemented
554C2×C32—21no—
555C2×C32—42no—
556C2×C32C22×C22⋊D711yescharacteristic
557C3⋊D3—21no—
558C3⋊D3—42no—
559C3⋊D3#649512yescomplemented
560C3×D3—282no—
561C24—181no—
562#41—212no—
563#41—632no—
564#41—1261no—
565#41—1261no—
566C2×Q8—631no—
567C2×D4—92no—
568C2×D4—92no—
569C2×D4—91no—
570C2×D4—181no—
571C2×D4—181no—
572C2×D4—181no—
573C2×D4—631no—
574C2×D4—1261no—
575C2×D4(C3⋊D3)⋊D711yescharacteristic, complemented
576C22×C4—91no—
577C22×C4—1261no—
578SD16—214no—
579SD16—634no—
580D8—214no—
581D8—634no—
582M16—212no—
583M16—632no—
584C2×C8—632no—
585C2×C7—21no—
586C2×C7—42no—
587C2×C7—92no—
588C2×C7—181no—
589C2×C7—362no—
590C2×C7C2×#381111yescharacteristic
591D7—122no—
592C22×C3—22no—
593C22×C3—22no—
594C22×C3—24no—
595C22×C3—21no—
596C22×C3—42no—
597C22×C3—42no—
598C22×C3—44no—
599C22×C3—422no—
600C22×C3D3×C22⋊D712yes—
601C2×D3—32no—
602C2×D3—32no—
603C2×D3—61no—
604C2×D3—61no—
605C2×D3—64no—
606C2×D3—62no—
607C2×D3—62no—
608C2×D3—62no—
609C2×D3—62no—
610C2×D3—64no—
611C2×D3—128no—
612C2×D3—124no—
613C2×D3—124no—
614C2×D3—124no—
615C2×D3—124no—
616C2×D3—128no—
617C2×D3—122no—
618C2×D3—122no—
619C2×D3—124no—
620C2×D3—142no—
621C2×D3—844no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—422no—
625C3×C4D3×C22⋊D712yes—
626C3×C4C22×D3×D712yes—
627Dic3—32no—
628Dic3—32no—
629Dic3—61no—
630Dic3—61no—
631Dic3—142no—
632C32C2×#649511yescharacteristic, complemented, Sylow
633C23—21no—
634C23—91no—
635C23—182no—
636C23—182no—
637C23—181no—
638C23—364no—
639C23—1261no—
640Q8—212no—
641Q8—1261no—
642D4—21no—
643D4—92no—
644D4—182no—
645D4—182no—
646D4—181no—
647D4—212no—
648D4—422no—
649D4—1261no—
650D4—1262no—
651D4C2×(C3⋊D3)⋊D712yes—
652C2×C4—91no—
653C2×C4—91no—
654C2×C4—91no—
655C2×C4—91no—
656C2×C4—91no—
657C2×C4—422no—
658C2×C4—1262no—
659C2×C4—1261no—
660C2×C4C2×(C3⋊D3)⋊D711yescharacteristic
661C8—214no—
662C7#1059510011yescharacteristic, complemented, Sylow
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—22no—
666C2×C3—21no—
667C2×C3—42no—
668C2×C3—42no—
669C2×C3—44no—
670C2×C3—842no—
671C2×C3C2×D3×C22⋊D712yes—
672D3—34no—
673D3—62no—
674D3—61no—
675D3—61no—
676D3—62no—
677D3—122no—
678D3—122no—
679D3—124no—
680D3—282no—
681C22—22no—
682C22—42no—
683C22—91no—
684C22—91no—
685C22—182no—
686C22—182no—
687C22—362no—
688C22—364no—
689C22—364no—
690C22—422no—
691C22—2522no—
692C22#1175964411yescharacteristic
693C4—91no—
694C4—91no—
695C4—422no—
696C4#1175964411yescharacteristic
697C4C22×(C3⋊D3)⋊D711yescharacteristic
698C3—21no—
699C3D3×#649512yescomplemented
700C2—21no—
701C2—42no—
702C2—92no—
703C2—181no—
704C2—362no—
705C2—842no—
706C2C2×#1175964411yescharacteristic
subgroupG/H
centerC2C2×#11759644
commutator, cosocleC32×C4×C7C24
FrattiniC4C22×(C3⋊D3)⋊D7
FittingC2×C32×C7×D4C22
socleC2×C32×C7C22×D4
hypercenterC2×D4(C3⋊D3)⋊D7
hypocenterC32×C7C2×AGL(1,ℤ/8)
LCSG ▷ C32×C4×C7 ▷ C2×C32×C7 ▷ C32×C7
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. #72245887C2semidirect
2. #72245885C2semidirect
3. C3×#10621415C2semidirect
4. #72245821C2semidirect
5. #72245801C2semidirect
6. #72245744C2semidirect
7. #72245719C2semidirect
8. C2×C7×D4×C3⋊D3C2semidirect
11. C2×C32×C7×D4C22semidirect
16. C7×D4×C3⋊D3C22semidirect
17. C2×C7×C4⋊(C3⋊D3)C22semidirect
19. C3×#66728C22semidirect
22. #11759635C22semidirect
25. #11759630C22semidirect
26. #11759628C22semidirect
27. C3×#66633C22semidirect
28. C3×#66632C22semidirect
29. C3×#66627C22semidirect
30. #11759220C22semidirect
31. #11759217C22semidirect
32. #11759216C22semidirect
33. #11759214C22semidirect
37. #10621415D3semidirect
67. C3×D84C23semidirect
69. C3×Dic42C23semidirect
75. C3×C3⋊(C7⋊C8)C23semidirect
81. C2×C3×C7×D4C2×D3semidirect
82. #66728C2×D3semidirect
109. #66633C2×D3semidirect
110. #66632C2×D3semidirect
111. #66627C2×D3semidirect
121. C2×D4×C3⋊D3D7semidirect
181. D84C22×D3semidirect
183. Dic42C22×D3semidirect
216. C3⋊(C7⋊C8)C22×D3semidirect
219. C2×C32×D4C2×D7semidirect
224. D4×C3⋊D3C2×D7semidirect
225. C2×C4⋊(C3⋊D3)C2×D7semidirect
247. C7×C3⋊D3AGL(1,ℤ/8)semidirect
256. C2×C7×D4D32semidirect
355. C32×C7C2×AGL(1,ℤ/8)semidirect
390. C2×C3×D4D3×D7semidirect
553. C3×C7D3×AGL(1,ℤ/8)semidirect
559. C3⋊D3#6495semidirect
575. C2×D4(C3⋊D3)⋊D7semidirect
632. C32C2×#6495semidirect
662. C7#10595100semidirect
699. C3D3×#6495semidirect

Maximal subgroups

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

subgroupindex
#722458872
#722458852
C3×#106214152
#722458212
#722458012
#722457442
#722457192
C2×C7×D4×C3⋊D32
D3×#64953
#105951007