Finite Group Databasebeta

← #13371987

Subgroups — #13371987

Order 1792.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D7×#107C211yesmaximal, characteristic, complemented
2C2×#89633C211yesmaximal, characteristic, complemented
3C2×#89608C211yesmaximal, characteristic
4#11731674C211yesmaximal, characteristic
5C4⋊C4×D28C211yesmaximal, characteristic
6C7×#1949C211yesmaximal, characteristic, complemented
7#11728386C211yesmaximal, characteristic, complemented
8#11728333C211yesmaximal, characteristic, complemented
9#11728207C211yesmaximal, characteristic, complemented
10#11727304C211yesmaximal, characteristic, complemented
11#11727235C211yesmaximal, characteristic, complemented
12#11726631C211yesmaximal, characteristic, complemented
13#11726628C211yesmaximal, characteristic, complemented
14#11726624C211yesmaximal, characteristic, complemented
15#11726622C211yesmaximal, characteristic, complemented
16C22×#1131C2211yescharacteristic
17C22×C8×D7C2211yescharacteristic
18C2×#6455C2211yescharacteristic
19C2×D7×C4⋊C4C2211yescharacteristic
20C2×D7×C4⋊C4C2211yescharacteristic
21C2×D7×C4⋊C4C2211yescharacteristic
22C2×C4×D28—21no—
23C2×C4×D28C2211yescharacteristic
24C2×C7×#107C2211yescharacteristic
25C2×C7×#106C2211yescharacteristic
26C2×C7×C4⋊C8C2211yescharacteristic
27C7×#382C2211yescharacteristic
28C4×C7×C4⋊C4C2211yescharacteristic
29C2×(C2×D7)⋊C8C2211yescharacteristic
30C2×(C2×D7)⋊C8C2211yescharacteristic
31C2×#6392C2211yescharacteristic
32C2×#6392C2211yescharacteristic
33#89759C2211yescharacteristic
34#89759C2211yescharacteristic
35#89759C2211yescharacteristic
36#89759C2211yescharacteristic
37C2×#6382C2211yescharacteristic
38C2×#6382C2211yescharacteristic
39C2×#6382C2211yescharacteristic
40C2×#6381C2211yescharacteristic
41C2×#6381C2211yescharacteristic
42C2×#6381C2211yescharacteristic
43#89707C2211yescharacteristic
44C4×C4⋊Dic7C2211yescharacteristic
45#89700—21no—
46C2×#6377C2211yescharacteristic
47D7×#107—24no—
48#89633—24no—
49#89608C418yescomplemented
50#89441—21no—
51#89440—21no—
52#89440—21no—
53#89438—21no—
54#89437—21no—
55#89426—21no—
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22661—71nomaximal, Sylow
63C22×D28D411yescharacteristic
64C22×C4×D7—21no—
65C22×C4×D7—21no—
66C22×C4×D7—21no—
67C22×C4×D7C2311yescharacteristic
68C22×C4×D7C2311yescharacteristic
69C22×C7×C8C2311yescharacteristic
70C22×C7×C8C2311yescharacteristic
71C2×C7×C4⋊C4C2311yescharacteristic
72C2×C7×C4⋊C4C2311yescharacteristic
73C2×C7×C4⋊C4C2311yescharacteristic
74C2×C7×C4⋊C4C2311yescharacteristic
75C2×C42×C7—21no—
76C2×C42×C7C2311yescharacteristic
77C2×(C2×D7)⋊C4—21no—
78C2×(C2×D7)⋊C4—21no—
79C2×(C2×D7)⋊C4—21no—
80C2×(C2×D7)⋊C4—21no—
81C2×(C2×D7)⋊C4—21no—
82C2×(C2×D7)⋊C4D411yescharacteristic
83C2×(C2×D7)⋊C4D411yescharacteristic
84C2×C4⋊Dic7—21no—
85C2×C4⋊Dic7—21no—
86C2×C4⋊Dic7D411yescharacteristic
87C2×C4⋊Dic7C2311yescharacteristic
88C2×C4⋊Dic7C2311yescharacteristic
89C2×C4⋊Dic7C2311yescharacteristic
90C2×C4⋊Dic7C2311yescharacteristic
91C2×Dic7⋊C4—21no—
92C2×Dic7⋊C4—21no—
93C2×Dic7⋊C4—21no—
94C2×C4×Dic7—21no—
95C2×C4×Dic7—21no—
96C22×C7⋊C8C2311yescharacteristic
97C22×C7⋊C8C2311yescharacteristic
98C2×#1131—22no—
99C2×#1131—22no—
100C2×#1131C2×C414yescomplemented
101C2×C8×D7—22no—
102C2×C8×D7—22no—
103C2×C8×D7C2×C414yescomplemented
104#6455—22no—
105#6455—41no—
106D7×C4⋊C4—22no—
107D7×C4⋊C4—22no—
108D7×C4⋊C4—22no—
109D7×C4⋊C4—41no—
110D7×C4⋊C4—41no—
111D7×C4⋊C4—41no—
112C4×D28—44no—
113C4×D28C2×C414yes—
114C4×D28Q814yes—
115C7×#107—22no—
116C7×#106—22no—
117C7×C4⋊C8C2×C414yescomplemented
118C7×#95—21no—
119C7×#95—21no—
120C7×#95—21no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126(C2×D7)⋊C8C2×C414yescomplemented
127(C2×D7)⋊C8C2×C414yescomplemented
128#6392—22no—
129#6392—22no—
130#6382—22no—
131#6382—22no—
132#6382—41no—
133#6381—22no—
134#6381—41no—
135#6381D414yescomplemented
136#6377C2×C414yescomplemented
137C2×#435—71no—
138C2×#428—71no—
139C22×#107—71no—
140#2352—71no—
141D4×C4⋊C4—71no—
142#1949D711yescharacteristic, complemented
143#1947—71no—
144#1854—71no—
145#1853—71no—
146#1852—71no—
147#1852—71no—
148#1847—71no—
149#1809—71no—
150#1807—71no—
151#1776—71no—
152C23×D7C2×D411yescharacteristic
153C23×D7C2×D411yescharacteristic
154C22×C4×C7—21no—
155C22×C4×C7—21no—
156C22×C4×C7—21no—
157C22×C4×C7—21no—
158C22×C4×C7C2×D411yescharacteristic
159C22×C4×C7C2×D411yescharacteristic
160C22×C4×C7C2411yescharacteristic
161C22×Dic7—21no—
162C22×Dic7—21no—
163C22×Dic7—21no—
164C22×Dic7—21no—
165C22×Dic7C2×D411yescharacteristic
166C22×Dic7C2×D411yescharacteristic
167C2×D28—22no—
168C2×D28—22no—
169C2×D28C4⋊C414yes—
170C2×C4×D7—21no—
171C2×C4×D7—21no—
172C2×C4×D7—21no—
173C2×C4×D7—21no—
174C2×C4×D7—21no—
175C2×C4×D7—21no—
176C2×C4×D7—21no—
177C2×C4×D7—21no—
178C2×C4×D7—42no—
179C2×C4×D7—42no—
180C2×C4×D7—42no—
181C2×C4×D7—42no—
182C2×C4×D7—42no—
183C2×C4×D7—42no—
184C2×C4×D7—81no—
185C2×C4×D7—81no—
186C2×C4×D7—81no—
187C2×C4×D7C22×C412yes—
188C2×C4×D7C22×C412yes—
189C2×C4×D7C2×Q812yes—
190C2×C4×D7C2×Q812yes—
191C2×C7×C8—21no—
192C2×C7×C8—21no—
193C2×C7×C8—21no—
194C2×C7×C8—21no—
195C2×C7×C8C22×C412yes—
196C2×C7×C8C22×C412yes—
197C7×C4⋊C4—21no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—21no—
204C7×C4⋊C4C2×D412yes—
205C42×C7—42no—
206C42×C7C22×C412yes—
207C42×C7C2×Q812yes—
208(C2×D7)⋊C4—42no—
209(C2×D7)⋊C4—42no—
210(C2×D7)⋊C4—42no—
211(C2×D7)⋊C4—42no—
212(C2×D7)⋊C4—81no—
213(C2×D7)⋊C4C4⋊C414yes—
214(C2×D7)⋊C4C4⋊C414yes—
215C4⋊Dic7—21no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7—21no—
220C4⋊Dic7—21no—
221C4⋊Dic7—21no—
222C4⋊Dic7—42no—
223C4⋊Dic7—81no—
224C4⋊Dic7C4⋊C414yes—
225C4⋊Dic7C2×D412yes—
226Dic7⋊C4—42no—
227Dic7⋊C4—42no—
228Dic7⋊C4—42no—
229C4×Dic7—42no—
230C4×Dic7—81no—
231C2×C7⋊C8—21no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8C22×C412yes—
234C2×C7⋊C8C22×C412yes—
235C2×C7⋊C8C2×D412yes—
236C2×C7⋊C8#4112yes—
237#1131—28no—
238C8×D7—28no—
239C22×M16—71no—
240C23×C8—71no—
241C2×C4×D4—71no—
242C2×C4×D4—141no—
243C2×#117—71no—
244C22×C4⋊C4—71no—
245C22×C4⋊C4—71no—
246C22×C4⋊C4—71no—
247#435—78no—
248#428—144no—
249C2×#107—71no—
250C2×#107—71no—
251C2×#107—71no—
252C2×#107—71no—
253C2×#107—71no—
254C2×#107—144no—
255C2×#107C2×D711yescharacteristic
256C2×#106—71no—
257C2×#106—71no—
258C2×#106—71no—
259C2×#106C2×D711yescharacteristic
260C2×C4⋊C8C2×D711yescharacteristic
261C2×C22⋊C8—71no—
262C2×C22⋊C8—71no—
263C2×#97—71no—
264#389—141no—
265#388—141no—
266#387—141no—
267#386—141no—
268#385—141no—
269#385—141no—
270#384—71no—
271#382C2×D711yescharacteristic
272#380—71no—
273#380—71no—
274#380—71no—
275#380—71no—
276C4×C4⋊C4—71no—
277C4×C4⋊C4C2×D711yescharacteristic
278C4×C22⋊C4—141no—
279#340—71no—
280#340—71no—
281#340—71no—
282#340—71no—
283#340C2×D711yescharacteristic
284#340C2×D711yescharacteristic
285C23×C7C22×D411yescharacteristic
286C22×D7—21no—
287C22×D7—21no—
288C22×D7—21no—
289C22×D7—21no—
290C22×D7—21no—
291C22×D7—21no—
292C22×D7—21no—
293C22×D7—21no—
294C22×D7—21no—
295C22×D7—21no—
296C22×D7C2×C4⋊C412yes—
297C22×D7C2×C4⋊C412yes—
298C22×D7AGL(1,ℤ/8)12yes—
299C22×D7#13712yes—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—22no—
305C2×C4×C7—41no—
306C2×C4×C7—41no—
307C2×C4×C7—41no—
308C2×C4×C7—41no—
309C2×C4×C7—41no—
310C2×C4×C7—41no—
311C2×C4×C7—41no—
312C2×C4×C7—41no—
313C2×C4×C7—41no—
314C2×C4×C7—41no—
315C2×C4×C7—41no—
316C2×C4×C7C2×C4⋊C412yes—
317C2×C4×C7C2×C4⋊C412yes—
318C2×C4×C7C23×C411yescharacteristic
319C2×C4×C7C22×D411yescharacteristic
320C2×C4×C7C22×Q811yescharacteristic
321C2×C4×C7C2×#4111yescharacteristic
322C2×C4×C7H(5,𝔽2)11yescharacteristic
323C2×C4×C72−1+411yescharacteristic
324C2×Dic7—21no—
325C2×Dic7—21no—
326C2×Dic7—21no—
327C2×Dic7—21no—
328C2×Dic7—22no—
329C2×Dic7—41no—
330C2×Dic7—41no—
331C2×Dic7—41no—
332C2×Dic7—41no—
333C2×Dic7—41no—
334C2×Dic7—41no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—41no—
338C2×Dic7—41no—
339C2×Dic7—41no—
340C2×Dic7C2×C4⋊C412yes—
341C2×Dic7C2×C4⋊C412yes—
342D28—28no—
343C4×D7—22no—
344C4×D7—22no—
345C4×D7—22no—
346C4×D7—22no—
347C4×D7—22no—
348C4×D7—22no—
349C4×D7—22no—
350C4×D7—22no—
351C4×D7—84no—
352C4×D7—84no—
353C4×D7—84no—
354C7×C8—22no—
355C7×C8—22no—
356C7⋊C8—22no—
357C7⋊C8C4×D414yescomplemented
358C22×D4—71no—
359C23×C4—71no—
360C23×C4—71no—
361C23×C4—141no—
362C23×C4—141no—
363C23×C4—141no—
364C2×M16—74no—
365C2×M16—142no—
366C2×M16—142no—
367C22×C8—71no—
368C22×C8—71no—
369C22×C8—74no—
370C22×C8—142no—
371C22×C8—142no—
372C22×C8C22×D711yescharacteristic
373C22×C8C22×D711yescharacteristic
374C4×D4—74no—
375C4×D4—74no—
376C4×D4—284no—
377#117—142no—
378#117—281no—
379C2×C4⋊C4—71no—
380C2×C4⋊C4—71no—
381C2×C4⋊C4—71no—
382C2×C4⋊C4—71no—
383C2×C4⋊C4—71no—
384C2×C4⋊C4—142no—
385C2×C4⋊C4—142no—
386C2×C4⋊C4—142no—
387C2×C4⋊C4—141no—
388C2×C4⋊C4—141no—
389C2×C4⋊C4—141no—
390C2×C4⋊C4—141no—
391C2×C4⋊C4—141no—
392C2×C4⋊C4—281no—
393C2×C4⋊C4—281no—
394C2×C4⋊C4—281no—
395C2×C4⋊C4C22×D711yescharacteristic
396C2×C4⋊C4C22×D711yescharacteristic
397C2×C4⋊C4C22×D711yescharacteristic
398C2×C4⋊C4C22×D711yescharacteristic
399C2×C22⋊C4—71no—
400C2×C22⋊C4—71no—
401C2×C22⋊C4—141no—
402C2×C22⋊C4—141no—
403C2×C22⋊C4—141no—
404C2×C22⋊C4—141no—
405C2×C22⋊C4—141no—
406C2×C42—21no—
407C2×C42—141no—
408C2×C42—141no—
409C2×C42C22×D711yescharacteristic
410#107—22no—
411#107—74no—
412#107—142no—
413#107—142no—
414#107—142no—
415#107—281no—
416#106—22no—
417#106—142no—
418#106—142no—
419#106—281no—
420C4⋊C8C4×D714yescomplemented
421C22⋊C8—74no—
422C22⋊C8—74no—
423#97—74no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—141no—
428#95—141no—
429#95—141no—
430#95—141no—
431#95—141no—
432C22×C7C22×C4⋊C411yescharacteristic
433C22×C7D4211yescharacteristic
434C22×C7#54711yescharacteristic
435C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
436C22×C7C2×#13711yescharacteristic
437C22×C7#57611yescharacteristic
438C22×C7#57811yescharacteristic
439C2×D7—22no—
440C2×D7—22no—
441C2×D7—22no—
442C2×D7—22no—
443C2×D7—22no—
444C2×D7—22no—
445C2×D7—22no—
446C2×D7—22no—
447C2×D7—22no—
448C2×D7—41no—
449C2×D7—41no—
450C2×D7—41no—
451C2×D7—41no—
452C2×D7#42814yescomplemented
453C4×C7—22no—
454C4×C7—22no—
455C4×C7—42no—
456C4×C7—81no—
457C4×C7—81no—
458C4×C7—81no—
459C4×C7C2×C4×D411yescharacteristic
460C4×C7#52011yescharacteristic
461C4×C7D4×Q811yescharacteristic
462C4×C7#55411yescharacteristic
463Dic7—22no—
464Dic7—22no—
465Dic7—42no—
466Dic7—81no—
467Dic7—81no—
468Dic7—81no—
469C24—71no—
470C24—71no—
471C2×D4—74no—
472C2×D4—142no—
473C2×D4—142no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—71no—
479C22×C4—71no—
480C22×C4—72no—
481C22×C4—72no—
482C22×C4—72no—
483C22×C4—72no—
484C22×C4—141no—
485C22×C4—141no—
486C22×C4—141no—
487C22×C4—141no—
488C22×C4—141no—
489C22×C4—141no—
490C22×C4—141no—
491C22×C4—141no—
492C22×C4—141no—
493C22×C4—141no—
494C22×C4—141no—
495C22×C4—141no—
496C22×C4—282no—
497C22×C4—282no—
498C22×C4—282no—
499C22×C4—282no—
500C22×C4—282no—
501C22×C4—282no—
502C22×C4—561no—
503C22×C4—561no—
504C22×C4—561no—
505C22×C4D4×D711yescharacteristic
506C22×C4D4×D711yescharacteristic
507C22×C4C23×D711yescharacteristic
508M16—148no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—72no—
514C2×C8—72no—
515C2×C8—72no—
516C2×C8—72no—
517C2×C8—148no—
518C2×C8—141no—
519C2×C8—141no—
520C2×C8C2×C4×D712yes—
521C2×C8C2×C4×D712yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—74no—
530C4⋊C4—72no—
531C4⋊C4—141no—
532C4⋊C4—141no—
533C4⋊C4—141no—
534C4⋊C4—141no—
535C4⋊C4—141no—
536C4⋊C4—141no—
537C4⋊C4—141no—
538C4⋊C4—282no—
539C4⋊C4—282no—
540C4⋊C4—282no—
541C4⋊C4—282no—
542C4⋊C4—561no—
543C4⋊C4D4×D712yes—
544C22⋊C4—74no—
545C22⋊C4—74no—
546C22⋊C4—282no—
547C22⋊C4—282no—
548C22⋊C4—282no—
549C22⋊C4—282no—
550C22⋊C4—561no—
551C42—42no—
552C42—282no—
553C42—561no—
554C42C2×C4×D712yes—
555C42Q8×D712yes—
556C2×C7D4×C4⋊C411yescharacteristic
557C2×C7C2×#42811yescharacteristic
558C2×C7#291311yescharacteristic
559C2×C7#326411yescharacteristic
560C2×C7#327011yescharacteristic
561C2×C7#334311yescharacteristic
562C2×C7#334611yescharacteristic
563D7—24no—
564D7—42no—
565C23—72no—
566C23—72no—
567C23—72no—
568C23—72no—
569C23—141no—
570C23—141no—
571C23—141no—
572C23—141no—
573C23—141no—
574C23—141no—
575C23—141no—
576C23—141no—
577C23—141no—
578C23—141no—
579C23C2×D4×D711yescharacteristic
580D4—148no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—72no—
598C2×C4—72no—
599C2×C4—141no—
600C2×C4—141no—
601C2×C4—141no—
602C2×C4—141no—
603C2×C4—142no—
604C2×C4—142no—
605C2×C4—142no—
606C2×C4—142no—
607C2×C4—142no—
608C2×C4—142no—
609C2×C4—142no—
610C2×C4—142no—
611C2×C4—142no—
612C2×C4—281no—
613C2×C4—281no—
614C2×C4—281no—
615C2×C4—281no—
616C2×C4—281no—
617C2×C4—281no—
618C2×C4—281no—
619C2×C4—281no—
620C2×C4—281no—
621C2×C4—281no—
622C2×C4—281no—
623C2×C4—564no—
624C2×C4—564no—
625C2×C4—564no—
626C2×C4D7×C4⋊C412yes—
627C2×C4D7×C4⋊C412yes—
628C2×C4C22×C4×D711yescharacteristic
629C2×C4C2×D4×D711yescharacteristic
630C2×C4C2×Q8×D711yescharacteristic
631C2×C4#655111yescharacteristic
632C2×C4D7×#4111yescharacteristic
633C2×C4#655311yescharacteristic
634C8—22no—
635C8—22no—
636C8—74no—
637C8—142no—
638C7#2266111yescharacteristic, complemented, Sylow
639C22—74no—
640C22—142no—
641C22—142no—
642C22—142no—
643C22—142no—
644C22—142no—
645C22—142no—
646C22—142no—
647C22—142no—
648C22—142no—
649C22—281no—
650C22—281no—
651C22—281no—
652C22—281no—
653C22C2×D7×C4⋊C411yescharacteristic
654C22#9030011yescharacteristic
655C22#9032211yescharacteristic
656C22#9046011yescharacteristic
657C22#9046211yescharacteristic
658C22D7×AGL(1,ℤ/8)11yescharacteristic
659C22D7×#13711yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—142no—
667C4—142no—
668C4—282no—
669C4—561no—
670C4—561no—
671C4—561no—
672C4C4×D4×D711yescharacteristic
673C4#9026511yescharacteristic
674C4#9038111yescharacteristic
675C4#9041811yescharacteristic
676C2—144no—
677C2—282no—
678C2#1173364711yescharacteristic
679C2#1173662411yescharacteristic
680C2D7×#42811yescharacteristic
681C2#1173799711yescharacteristic
682C2#1173807611yescharacteristic
683C2#1173864111yescharacteristic
684C2#1173870111yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1949C2
socleC23×C7C22×D4
prime radicalC22×D28D4
cosocleC22×C4×C7C24
hypercenter#1949D7
hypocenterC7#22661
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1949

Complements

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

NH ≅ G/Ntype
1. C2×D7×#107C2semidirect
2. C2×#89633C2semidirect
6. C7×#1949C2semidirect
7. #11728386C2semidirect
8. #11728333C2semidirect
9. #11728207C2semidirect
10. #11727304C2semidirect
11. #11727235C2semidirect
12. #11726631C2semidirect
13. #11726628C2semidirect
14. #11726624C2semidirect
15. #11726622C2semidirect
49. #89608C4semidirect
100. C2×#1131C2×C4semidirect
103. C2×C8×D7C2×C4semidirect
117. C7×C4⋊C8C2×C4semidirect
126. (C2×D7)⋊C8C2×C4semidirect
127. (C2×D7)⋊C8C2×C4semidirect
135. #6381D4semidirect
136. #6377C2×C4semidirect
142. #1949D7semidirect
357. C7⋊C8C4×D4semidirect
420. C4⋊C8C4×D7semidirect
452. C2×D7#428semidirect
638. C7#22661semidirect

Maximal subgroups

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

subgroupindex
C2×D7×#1072
C2×#896332
C2×#896082
#117316742
C4⋊C4×D282
C7×#19492
#117283862
#117283332
#117282072
#117273042
#117272352
#117266312
#117266282
#117266242
#117266222
#226617