Finite Group Databasebeta

← #13371983

Subgroups — #13371983

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
1C4⋊C4×C22⋊D7C211yesmaximal, characteristic
2C2×#89736C211yesmaximal, characteristic, complemented
3C2×D7×#107C211yesmaximal, characteristic, complemented
4C2×#89500C211yesmaximal, characteristic
5#11731457C211yesmaximal, characteristic
6C7×#1852C211yesmaximal, characteristic, complemented
7#11728386C211yesmaximal, characteristic, complemented
8#11728370C211yesmaximal, characteristic, complemented
9#11728362C211yesmaximal, characteristic, complemented
10#11727683C211yesmaximal, characteristic, complemented
11#11727267C211yesmaximal, characteristic, complemented
12#11726629C211yesmaximal, characteristic, complemented
13#11726622C211yesmaximal, characteristic, complemented
14#11726549C211yesmaximal, characteristic, complemented
15#11726540C211yesmaximal, characteristic, complemented
16C22×C7×C4⋊C4C2211yescharacteristic
17C2×C4×C22⋊D7—21no—
18C2×C4×C22⋊D7C2211yescharacteristic
19C2×#6489C2211yescharacteristic
20C22×#1136C2211yescharacteristic
21C22×C8×D7C2211yescharacteristic
22C2×D7×C4⋊C4C2211yescharacteristic
23C2×D7×C4⋊C4C2211yescharacteristic
24C2×C7×#107C2211yescharacteristic
25C2×C7×#107C2211yescharacteristic
26C2×C7×C22⋊C8C2211yescharacteristic
27C7×#380C2211yescharacteristic
28#89984C2211yescharacteristic
29#89982—21no—
30C2×(C2×D7)⋊C8C2211yescharacteristic
31C2×#6392C2211yescharacteristic
32C2×#6391C2211yescharacteristic
33C2×#6389C2211yescharacteristic
34C2×Dic7⋊C8C2211yescharacteristic
35#89761—21no—
36#89759C2211yescharacteristic
37#89759C2211yescharacteristic
38#89749C2211yescharacteristic
39#89748C2211yescharacteristic
40C4⋊C4×Dic7C2211yescharacteristic
41C4⋊C4×Dic7C2211yescharacteristic
42#89744—21no—
43#89736—24no—
44C2×#6382C2211yescharacteristic
45C2×#6382C2211yescharacteristic
46C2×#6382C2211yescharacteristic
47C2×#6381C2211yescharacteristic
48C2×#6381C2211yescharacteristic
49C2×#6381C2211yescharacteristic
50#89728—21no—
51#89716—21no—
52D7×#107—24no—
53#89500C418yescomplemented
54#89438—21no—
55#89424—21no—
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22661—71nomaximal, Sylow
63C23×C4×C7—21no—
64C23×C4×C7C2311yescharacteristic
65C22×C22⋊D7D411yescharacteristic
66C22×C4×D7—21no—
67C22×C4×D7—21no—
68C22×C4×D7C2311yescharacteristic
69C22×C7×C8C2311yescharacteristic
70C22×C7×C8C2311yescharacteristic
71C2×C7×C4⋊C4—22no—
72C2×C7×C4⋊C4—21no—
73C2×C7×C4⋊C4—41no—
74C2×C7×C4⋊C4C2311yescharacteristic
75C2×C7×C4⋊C4C2311yescharacteristic
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C22⋊C4—21no—
79C2×C22⋊Dic7—21no—
80C2×C22⋊Dic7—21no—
81C2×C22⋊Dic7D411yescharacteristic
82C4×C22⋊D7—44no—
83C4×C22⋊D7C2×C414yes—
84C4×C22⋊D7Q814yes—
85C2×(C2×D7)⋊C4—21no—
86C2×(C2×D7)⋊C4—21no—
87C2×(C2×D7)⋊C4D411yescharacteristic
88#6489—22no—
89#6489—41no—
90C2×C4⋊Dic7C2311yescharacteristic
91C2×C4⋊Dic7C2311yescharacteristic
92C2×C4⋊Dic7C2311yescharacteristic
93C2×C4⋊Dic7C2311yescharacteristic
94C2×Dic7⋊C4—21no—
95C2×Dic7⋊C4—21no—
96C2×Dic7⋊C4—21no—
97C2×Dic7⋊C4—21no—
98C2×Dic7⋊C4D411yescharacteristic
99C2×C4×Dic7—21no—
100C2×C4×Dic7—21no—
101C2×C4×Dic7—21no—
102C2×C4×Dic7C2311yescharacteristic
103C2×#1136—22no—
104C2×#1136—22no—
105C2×#1136C2×C414yescomplemented
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C2×C8×D7—22no—
109C2×C8×D7—22no—
110C2×C8×D7C2×C414yescomplemented
111D7×C4⋊C4—22no—
112D7×C4⋊C4—22no—
113D7×C4⋊C4—41no—
114D7×C4⋊C4—41no—
115C7×#107—22no—
116C7×#107—41no—
117C7×C22⋊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#6392—22no—
128#6391—41no—
129#6389C2×C414yescomplemented
130Dic7⋊C8C2×C414yescomplemented
131#6382—22no—
132#6382—22no—
133#6382—22no—
134#6381—22no—
135#6381—22no—
136#6381D414yescomplemented
137C2×#435—71no—
138C2×#428—71no—
139C22×#107—71no—
140#2352—71no—
141D4×C4⋊C4—71no—
142#1949—71no—
143#1947—71no—
144#1854—71no—
145#1853—71no—
146#1852—71no—
147#1852D711yescharacteristic, complemented
148#1847—71no—
149#1809—71no—
150#1807—71no—
151#1776—71no—
152C24×C7C2×D411yescharacteristic
153C23×D7C2×D411yescharacteristic
154C22×C4×C7—21no—
155C22×C4×C7—21no—
156C22×C4×C7—21no—
157C22×C4×C7—21no—
158C22×C4×C7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—42no—
163C22×C4×C7—42no—
164C22×C4×C7—81no—
165C22×C4×C7C22×C412yes—
166C22×C4×C7C2×D411yescharacteristic
167C22×C4×C7C2×Q812yes—
168C22×C4×C7C2411yescharacteristic
169C2×C22⋊D7—22no—
170C2×C22⋊D7—22no—
171C2×C22⋊D7C4⋊C414yes—
172C22×Dic7—21no—
173C22×Dic7—21no—
174C22×Dic7—21no—
175C22×Dic7—21no—
176C22×Dic7C2×D411yescharacteristic
177C22×Dic7C2×D411yescharacteristic
178C22×Dic7C2×D411yescharacteristic
179C2×C4×D7—21no—
180C2×C4×D7—21no—
181C2×C4×D7—21no—
182C2×C4×D7—21no—
183C2×C4×D7—42no—
184C2×C4×D7—42no—
185C2×C4×D7—42no—
186C2×C4×D7—42no—
187C2×C4×D7—81no—
188C2×C4×D7—81no—
189C2×C4×D7C22×C412yes—
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⋊C4—42no—
205C7×C4⋊C4C2×D412yes—
206C7×C22⋊C4—81no—
207C22⋊Dic7—42no—
208C22⋊Dic7—42no—
209C22⋊Dic7C4⋊C414yes—
210(C2×D7)⋊C4—42no—
211(C2×D7)⋊C4—42no—
212(C2×D7)⋊C4C4⋊C414yes—
213C4⋊Dic7—21no—
214C4⋊Dic7—21no—
215C4⋊Dic7—21no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7—21no—
220C4⋊Dic7C2×D412yes—
221Dic7⋊C4—42no—
222Dic7⋊C4—42no—
223Dic7⋊C4—42no—
224Dic7⋊C4—81no—
225Dic7⋊C4C4⋊C414yes—
226C4×Dic7—42no—
227C4×Dic7—42no—
228C4×Dic7—81no—
229C4×Dic7C22×C412yes—
230C4×Dic7C2×Q812yes—
231#1136—28no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8—21no—
234C2×C7⋊C8C22×C412yes—
235C2×C7⋊C8C22×C412yes—
236C2×C7⋊C8C2×D412yes—
237C2×C7⋊C8#4112yes—
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⋊C4C2×D711yescharacteristic
247#435—78no—
248#428—144no—
249C2×#107—71no—
250C2×#107—71no—
251C2×#107—71no—
252C2×#107—71no—
253C2×#107—144no—
254C2×#107C2×D711yescharacteristic
255C2×#107C2×D711yescharacteristic
256C2×#106—71no—
257C2×#106—71no—
258C2×#106—71no—
259C2×#106—71no—
260C2×C4⋊C8—71no—
261C2×C22⋊C8—71no—
262C2×C22⋊C8C2×D711yescharacteristic
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#382—71no—
272#380—71no—
273#380—71no—
274#380—71no—
275#380C2×D711yescharacteristic
276C4×C4⋊C4—71no—
277C4×C4⋊C4—71no—
278C4×C22⋊C4—141no—
279#340—71no—
280#340—71no—
281#340—71no—
282#340—71no—
283#340C2×D711yescharacteristic
284#340C2×D711yescharacteristic
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7—21no—
291C23×C7C2×C4⋊C412yes—
292C23×C7C22×D411yescharacteristic
293C22×D7—21no—
294C22×D7—21no—
295C22×D7—21no—
296C22×D7—21no—
297C22×D7C2×C4⋊C412yes—
298C22×D7AGL(1,ℤ/8)12yes—
299C22×D7#13712yes—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
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×C7—41no—
317C2×C4×C7—41no—
318C2×C4×C7—84no—
319C2×C4×C7C2×C4⋊C412yes—
320C2×C4×C7C23×C411yescharacteristic
321C2×C4×C7C22×D411yescharacteristic
322C2×C4×C7C22×Q811yescharacteristic
323C2×C4×C7C2×#4111yescharacteristic
324C2×C4×C7H(5,𝔽2)11yescharacteristic
325C2×C4×C72−1+411yescharacteristic
326C22⋊D7—28no—
327C2×Dic7—21no—
328C2×Dic7—21no—
329C2×Dic7—21no—
330C2×Dic7—21no—
331C2×Dic7—21no—
332C2×Dic7—21no—
333C2×Dic7—22no—
334C2×Dic7—41no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—41no—
338C2×Dic7—41no—
339C2×Dic7—41no—
340C2×Dic7—41no—
341C2×Dic7—41no—
342C2×Dic7—41no—
343C2×Dic7—41no—
344C2×Dic7—41no—
345C2×Dic7C2×C4⋊C412yes—
346C2×Dic7C2×C4⋊C412yes—
347C2×Dic7C2×C4⋊C412yes—
348C4×D7—22no—
349C4×D7—22no—
350C4×D7—22no—
351C4×D7—22no—
352C4×D7—84no—
353C4×D7—84no—
354C7×C8—22no—
355C7×C8—22no—
356C7⋊C8—22no—
357C7⋊C8C4×D414yescomplemented
358C22×D4—71no—
359C23×C4—21no—
360C23×C4—71no—
361C23×C4—141no—
362C23×C4—141no—
363C23×C4C22×D711yescharacteristic
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—22no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—41no—
382C2×C4⋊C4—71no—
383C2×C4⋊C4—71no—
384C2×C4⋊C4—71no—
385C2×C4⋊C4—71no—
386C2×C4⋊C4—71no—
387C2×C4⋊C4—142no—
388C2×C4⋊C4—142no—
389C2×C4⋊C4—141no—
390C2×C4⋊C4—141no—
391C2×C4⋊C4—141no—
392C2×C4⋊C4—141no—
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—21no—
400C2×C22⋊C4—71no—
401C2×C22⋊C4—71no—
402C2×C22⋊C4—141no—
403C2×C22⋊C4—141no—
404C2×C22⋊C4—141no—
405C2×C22⋊C4—141no—
406C2×C42—71no—
407C2×C42—141no—
408C2×C42—141no—
409C2×C42—141no—
410#107—22no—
411#107—41no—
412#107—74no—
413#107—142no—
414#107—142no—
415#107—142no—
416#106—142no—
417#106—142no—
418#106—142no—
419#106—281no—
420C4⋊C8—74no—
421C22⋊C8—74no—
422C22⋊C8C4×D714yescomplemented
423#97—74no—
424#95—21no—
425#95—141no—
426#95—141no—
427#95—141no—
428#95—141no—
429#95—141no—
430#95—141no—
431#95—141no—
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—22no—
435C22×C7—41no—
436C22×C7—41no—
437C22×C7—41no—
438C22×C7—41no—
439C22×C7C22×C4⋊C411yescharacteristic
440C22×C7D4211yescharacteristic
441C22×C7#54711yescharacteristic
442C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
443C22×C7C2×#13711yescharacteristic
444C22×C7#57611yescharacteristic
445C22×C7#57811yescharacteristic
446C2×D7—22no—
447C2×D7—22no—
448C2×D7—22no—
449C2×D7—22no—
450C2×D7—22no—
451C2×D7—22no—
452C2×D7#42814yescomplemented
453C4×C7—22no—
454C4×C7—42no—
455C4×C7—81no—
456C4×C7—81no—
457C4×C7—81no—
458C4×C7C2×C4×D411yescharacteristic
459C4×C7#52011yescharacteristic
460C4×C7D4×Q811yescharacteristic
461C4×C7#55411yescharacteristic
462Dic7—22no—
463Dic7—22no—
464Dic7—22no—
465Dic7—42no—
466Dic7—81no—
467Dic7—81no—
468Dic7—81no—
469C24—71no—
470C24D4×D711yescharacteristic
471C2×D4—74no—
472C2×D4—142no—
473C2×D4—142no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—71no—
485C22×C4—71no—
486C22×C4—71no—
487C22×C4—72no—
488C22×C4—72no—
489C22×C4—81no—
490C22×C4—141no—
491C22×C4—141no—
492C22×C4—141no—
493C22×C4—141no—
494C22×C4—141no—
495C22×C4—141no—
496C22×C4—141no—
497C22×C4—141no—
498C22×C4—282no—
499C22×C4—282no—
500C22×C4—282no—
501C22×C4—282no—
502C22×C4—561no—
503C22×C4—561no—
504C22×C4C2×C4×D712yes—
505C22×C4D4×D711yescharacteristic
506C22×C4Q8×D712yes—
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—42no—
530C4⋊C4—74no—
531C4⋊C4—72no—
532C4⋊C4—141no—
533C4⋊C4—141no—
534C4⋊C4—141no—
535C4⋊C4—141no—
536C4⋊C4—141no—
537C4⋊C4—141no—
538C4⋊C4—141no—
539C4⋊C4—282no—
540C4⋊C4—282no—
541C4⋊C4—282no—
542C4⋊C4—561no—
543C4⋊C4D4×D712yes—
544C22⋊C4—74no—
545C22⋊C4—74no—
546C22⋊C4—81no—
547C22⋊C4—282no—
548C22⋊C4—282no—
549C22⋊C4—282no—
550C22⋊C4—282no—
551C42—72no—
552C42—72no—
553C42—282no—
554C42—282no—
555C42—561no—
556C2×C7—42no—
557C2×C7D4×C4⋊C411yescharacteristic
558C2×C7C2×#42811yescharacteristic
559C2×C7#291311yescharacteristic
560C2×C7#326411yescharacteristic
561C2×C7#327011yescharacteristic
562C2×C7#334311yescharacteristic
563C2×C7#334611yescharacteristic
564D7—24no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—72no—
572C23—72no—
573C23—72no—
574C23—141no—
575C23—141no—
576C23—141no—
577C23—141no—
578C23D7×C4⋊C412yes—
579C23C2×D4×D711yescharacteristic
580D4—148no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
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—41no—
598C2×C4—41no—
599C2×C4—72no—
600C2×C4—72no—
601C2×C4—72no—
602C2×C4—84no—
603C2×C4—141no—
604C2×C4—141no—
605C2×C4—141no—
606C2×C4—141no—
607C2×C4—141no—
608C2×C4—141no—
609C2×C4—142no—
610C2×C4—142no—
611C2×C4—142no—
612C2×C4—142no—
613C2×C4—142no—
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—281no—
624C2×C4—281no—
625C2×C4—564no—
626C2×C4—564no—
627C2×C4D7×C4⋊C412yes—
628C2×C4C22×C4×D711yescharacteristic
629C2×C4C2×D4×D711yescharacteristic
630C2×C4#654811yescharacteristic
631C2×C4C2×Q8×D711yescharacteristic
632C2×C4D7×#4111yescharacteristic
633C2×C4#655411yescharacteristic
634C8—22no—
635C8—22no—
636C8—74no—
637C8—142no—
638C7#2266111yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—74no—
647C22—142no—
648C22—142no—
649C22—142no—
650C22—142no—
651C22—142no—
652C22—142no—
653C22C2×D7×C4⋊C411yescharacteristic
654C22#9028111yescharacteristic
655C22#9034611yescharacteristic
656C22#9044811yescharacteristic
657C22#9045711yescharacteristic
658C22D7×AGL(1,ℤ/8)11yescharacteristic
659C22D7×#13711yescharacteristic
660C4—22no—
661C4—42no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—142no—
666C4—142no—
667C4—142no—
668C4—282no—
669C4—561no—
670C4—561no—
671C4—561no—
672C4C4×D4×D711yescharacteristic
673C4#9023711yescharacteristic
674C4#9032311yescharacteristic
675C4#9032711yescharacteristic
676C2—42no—
677C2—144no—
678C2#1173183811yescharacteristic
679C2#1173659111yescharacteristic
680C2D7×#42811yescharacteristic
681C2#1173745711yescharacteristic
682C2#1173765411yescharacteristic
683C2#1173874011yescharacteristic
684C2#1173892211yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1852C2
socleC23×C7C22×D4
prime radicalC22×C22⋊D7D4
cosocleC22×C4×C7C24
hypercenter#1852D7
hypocenterC7#22661
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#89736C2semidirect
3. C2×D7×#107C2semidirect
6. C7×#1852C2semidirect
7. #11728386C2semidirect
8. #11728370C2semidirect
9. #11728362C2semidirect
10. #11727683C2semidirect
11. #11727267C2semidirect
12. #11726629C2semidirect
13. #11726622C2semidirect
14. #11726549C2semidirect
15. #11726540C2semidirect
53. #89500C4semidirect
105. C2×#1136C2×C4semidirect
110. C2×C8×D7C2×C4semidirect
117. C7×C22⋊C8C2×C4semidirect
126. (C2×D7)⋊C8C2×C4semidirect
129. #6389C2×C4semidirect
130. Dic7⋊C8C2×C4semidirect
136. #6381D4semidirect
147. #1852D7semidirect
357. C7⋊C8C4×D4semidirect
422. C22⋊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
C4⋊C4×C22⋊D72
C2×#897362
C2×D7×#1072
C2×#895002
#117314572
C7×#18522
#117283862
#117283702
#117283622
#117276832
#117272672
#117266292
#117266222
#117265492
#117265402
#226617