Finite Group Databasebeta

← #13408092

Subgroups — #13408092

Order 1792.

1082 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#529C211yesmaximal, characteristic
2C2×#89836C211yesmaximal, characteristic, complemented
3C2×#89828C211yesmaximal, characteristic, complemented
4#11739519C211yesmaximal, characteristic, complemented
5#11729494C211yesmaximal, characteristic, complemented
6#11729479C211yesmaximal, characteristic, complemented
7#11729449C211yesmaximal, characteristic, complemented
8#11729448C211yesmaximal, characteristic, complemented
9#11729434C211yesmaximal, characteristic
10#11729433C211yesmaximal, characteristic
11#11729383C211yesmaximal, characteristic, complemented
12#11729382C211yesmaximal, characteristic, complemented
13#11729361C211yesmaximal, characteristic, complemented
14#11729360C211yesmaximal, characteristic, complemented
15C4×C22⋊(C7⋊C8)C211yesmaximal, characteristic, complemented
16C7×#529—24no—
17C7×#529—24no—
18C2×C7×#126—21no—
19C2×C7×#125C2211yescharacteristic
20C2×C7×#124C2211yescharacteristic
21C2×C7×#123—21no—
22C2×C7×C22⋊Q8C2211yescharacteristic
23C2×C7×#121C2211yescharacteristic
24C2×C4×C7×Q8C2211yescharacteristic
25C2×C4×C7×D4—21no—
26C2×C4×C7×D4C2211yescharacteristic
27C2×C7×#117—21no—
28C22×C42×C7C2211yescharacteristic
29C2×#6433C2211yescharacteristic
30C2×#6409C2211yescharacteristic
31C2×#6409C2211yescharacteristic
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34C2×#6406C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38#89984C2211yescharacteristic
39#89984C2211yescharacteristic
40#89982—21no—
41#89982—21no—
42C2×C22⋊(C7⋊C8)C2211yescharacteristic
43C2×C22⋊(C7⋊C8)C2211yescharacteristic
44#89836—24no—
45#89828—24no—
46C2×#6382C2211yescharacteristic
47C2×#6382C2211yescharacteristic
48C2×#6381C2211yescharacteristic
49C2×#6381C2211yescharacteristic
50#89708C2211yescharacteristic
51#89705—21no—
52#89705—21no—
53#89700C2211yescharacteristic
54#89700C2211yescharacteristic
55C2×C4×C7⋊C8C2211yescharacteristic
56C2×C4×C7⋊C8C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89319C2211yescharacteristic
62#89319C2211yescharacteristic
63#25675—71nomaximal, Sylow
64C22×C7×Q8C2311yescharacteristic
65C22×C7×D4—21no—
66C22×C7×D4C2311yescharacteristic
67C23×C4×C7—21no—
68C23×C4×C7D411yescharacteristic
69C23×C4×C7D411yescharacteristic
70C23×C4×C7C2311yescharacteristic
71C7×#126—28no—
72C7×#125—22no—
73C7×#125D414yes—
74C7×#124—22no—
75C7×#124D414yes—
76C7×#123—28no—
77C7×C22⋊Q8—22no—
78C7×C22⋊Q8—22no—
79C7×#121—22no—
80C7×#121—22no—
81C4×C7×Q8—22no—
82C4×C7×Q8—22no—
83C4×C7×D4—28no—
84C4×C7×D4—22no—
85C4×C7×D4—22no—
86C7×#117—28no—
87C2×C7×C4⋊C4—21no—
88C2×C7×C4⋊C4—21no—
89C2×C7×C4⋊C4—21no—
90C2×C7×C4⋊C4—21no—
91C2×C7×C4⋊C4C2311yescharacteristic
92C2×C7×C4⋊C4C2311yescharacteristic
93C2×C7×C22⋊C4—21no—
94C2×C7×C22⋊C4—21no—
95C2×C7×C22⋊C4—21no—
96C2×C7×C22⋊C4—21no—
97C2×C7×C22⋊C4—21no—
98C2×C42×C7—21no—
99C2×C42×C7—22no—
100C2×C42×C7—22no—
101C2×C42×C7D411yescharacteristic
102C2×C42×C7D411yescharacteristic
103C2×C42×C7C2311yescharacteristic
104C2×C42×C7C2311yescharacteristic
105C2×C22⋊Dic7—21no—
106C2×C22⋊Dic7—21no—
107C2×C4⋊Dic7C2311yescharacteristic
108C2×C4⋊Dic7C2311yescharacteristic
109C2×C4⋊Dic7C2311yescharacteristic
110C2×C4⋊Dic7C2311yescharacteristic
111C2×Dic7⋊C4—21no—
112C2×Dic7⋊C4—21no—
113C2×Dic7⋊C4—21no—
114C2×Dic7⋊C4—21no—
115C22×C7⋊C8C2311yescharacteristic
116C22×C7⋊C8C2311yescharacteristic
117C22×C7⋊C8C2311yescharacteristic
118C22×C7⋊C8C2311yescharacteristic
119#6433—22no—
120#6433—22no—
121#6409—22no—
122#6409—22no—
123#6409—22no—
124#6409—22no—
125#6406—22no—
126#6406—22no—
127#6406—22no—
128#6406—22no—
129C7⋊#95—21no—
130C7⋊#95—21no—
131C7⋊#95—21no—
132C7⋊#95—21no—
133C7⋊#95—21no—
134C7⋊#95—21no—
135C22⋊(C7⋊C8)—22no—
136C22⋊(C7⋊C8)—22no—
137#6382—22no—
138#6382—22no—
139#6381—22no—
140#6381—22no—
141C4×C7⋊C8—22no—
142C4×C7⋊C8—22no—
143C2×#529D711yescharacteristic
144C2×#499—71no—
145C2×#488—71no—
146#2851—71no—
147#2036—71no—
148#2035—71no—
149#2034—71no—
150#2033—71no—
151#1991—71no—
152#1958—71no—
153#1865—71no—
154#1864—71no—
155#1863—71no—
156#1862—71no—
157C4×C22⋊C8—71no—
158C24×C7—21no—
159C24×C7C2×D411yescharacteristic
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8—21no—
165C2×C7×Q8C2×D412yes—
166C2×C7×D4—24no—
167C2×C7×D4—21no—
168C2×C7×D4—21no—
169C2×C7×D4—21no—
170C2×C7×D4—21no—
171C2×C7×D4—21no—
172C2×C7×D4—42no—
173C2×C7×D4—42no—
174C2×C7×D4C2×D412yes—
175C22×C4×C7—24no—
176C22×C4×C7—22no—
177C22×C4×C7—21no—
178C22×C4×C7—21no—
179C22×C4×C7—21no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7—22no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7—21no—
188C22×C4×C7—21no—
189C22×C4×C7—41no—
190C22×C4×C7—41no—
191C22×C4×C7—42no—
192C22×C4×C7—42no—
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×D411yescharacteristic
196C22×C4×C7C2×D411yescharacteristic
197C22×C4×C7C2×D411yescharacteristic
198C22×C4×C7C2411yescharacteristic
199C22×Dic7—21no—
200C22×Dic7—21no—
201C22×Dic7—21no—
202C22×Dic7—21no—
203C7×C4⋊C4—24no—
204C7×C4⋊C4—24no—
205C7×C4⋊C4—24no—
206C7×C4⋊C4—24no—
207C7×C4⋊C4—21no—
208C7×C4⋊C4—21no—
209C7×C4⋊C4C2×D412yes—
210C7×C4⋊C4C2×D412yes—
211C7×C22⋊C4—24no—
212C7×C22⋊C4—24no—
213C7×C22⋊C4—24no—
214C7×C22⋊C4—24no—
215C7×C22⋊C4—24no—
216C42×C7—24no—
217C42×C7—22no—
218C42×C7—22no—
219C42×C7—21no—
220C42×C7—21no—
221C42×C7C2×D412yes—
222C42×C7C2×D412yes—
223C22⋊Dic7—42no—
224C22⋊Dic7—42no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—21no—
233Dic7⋊C4—42no—
234Dic7⋊C4—42no—
235Dic7⋊C4—42no—
236Dic7⋊C4—42no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8#4112yes—
248C2×C7⋊C8#4112yes—
249#529—24no—
250#529—24no—
251C2×#126—21no—
252C2×#125—71no—
253C2×#125C2×D711yescharacteristic
254C2×#124C2×D711yescharacteristic
255C2×#123—21no—
256C2×C22⋊Q8C2×D711yescharacteristic
257C2×#121C2×D711yescharacteristic
258C2×C4×Q8C2×D711yescharacteristic
259C2×C4×D4—21no—
260C2×C4×D4C2×D711yescharacteristic
261C2×#117—21no—
262C22×C42C2×D711yescharacteristic
263#499—144no—
264#488—144no—
265C2×#107—71no—
266C2×#107—71no—
267C2×#106—71no—
268C2×#106—71no—
269C2×#103—71no—
270C2×#103—71no—
271C2×#103—71no—
272C2×#103—71no—
273C2×#102—71no—
274C2×#102—71no—
275C2×#102—71no—
276C2×#102—71no—
277C2×C22⋊C8—71no—
278C2×C22⋊C8—71no—
279C2×C4×C8—71no—
280C2×C4×C8—71no—
281#389—71no—
282#389—71no—
283#387—141no—
284#387—141no—
285#385—141no—
286#385—141no—
287#382—71no—
288#380—71no—
289#380—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#340—71no—
294#336—71no—
295#336—71no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7—21no—
302C23×C7—22no—
303C23×C7—41no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7—41no—
308C23×C7—41no—
309C23×C7#13512yes—
310C23×C7C22×D411yescharacteristic
311C7×Q8—22no—
312C7×Q8—22no—
313C7×Q8—41no—
314C7×Q8—41no—
315C7×D4—22no—
316C7×D4—22no—
317C7×D4—48no—
318C7×D4—41no—
319C7×D4—41no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—21no—
327C2×C4×C7—21no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—21no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—44no—
336C2×C4×C7—44no—
337C2×C4×C7—48no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—41no—
343C2×C4×C7—41no—
344C2×C4×C7—41no—
345C2×C4×C7—41no—
346C2×C4×C7—41no—
347C2×C4×C7—41no—
348C2×C4×C7#12012yes—
349C2×C4×C7#12012yes—
350C2×C4×C7#13512yes—
351C2×C4×C7C22×D411yescharacteristic
352C2×C4×C7C22×D411yescharacteristic
353C2×C4×C7C2×#4111yescharacteristic
354C2×C4×C7C2×#4111yescharacteristic
355C2×C4×C72−1+411yescharacteristic
356C2×C4×C72−1+411yescharacteristic
357C2×Dic7—41no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365C2×Dic7—41no—
366C2×Dic7—41no—
367C2×Dic7—41no—
368C2×Dic7—41no—
369C7⋊C8—22no—
370C7⋊C8—22no—
371C7⋊C8—41no—
372C7⋊C8—41no—
373C22×Q8C22×D711yescharacteristic
374C22×D4—21no—
375C22×D4C22×D711yescharacteristic
376C23×C4—21no—
377C23×C4C22⋊D711yescharacteristic
378C23×C4C22⋊D711yescharacteristic
379C23×C4C22×D711yescharacteristic
380C22×C8—71no—
381C22×C8—71no—
382C22×C8—71no—
383C22×C8—71no—
384#126—28no—
385#125—22no—
386#125—142no—
387#125—142no—
388#125C22⋊D714yes—
389#124—22no—
390#124C22⋊D714yes—
391#123—28no—
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394#121—22no—
395#121—22no—
396C4×Q8—22no—
397C4×Q8—22no—
398C4×D4—28no—
399C4×D4—22no—
400C4×D4—22no—
401#117—28no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—71no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—71no—
410C2×C4⋊C4—141no—
411C2×C4⋊C4—141no—
412C2×C4⋊C4—141no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4C22×D711yescharacteristic
415C2×C4⋊C4C22×D711yescharacteristic
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—141no—
422C2×C22⋊C4—141no—
423C2×C42—21no—
424C2×C42—22no—
425C2×C42—22no—
426C2×C42C22⋊D711yescharacteristic
427C2×C42C22⋊D711yescharacteristic
428C2×C42C22×D711yescharacteristic
429C2×C42C22×D711yescharacteristic
430#107—142no—
431#107—142no—
432#106—142no—
433#106—142no—
434#103—142no—
435#103—142no—
436#103—142no—
437#103—142no—
438#102—142no—
439#102—142no—
440#102—142no—
441#102—142no—
442C22⋊C8—142no—
443C22⋊C8—142no—
444C4×C8—142no—
445C4×C8—142no—
446#95—141no—
447#95—141no—
448#95—141no—
449#95—141no—
450#95—141no—
451#95—141no—
452C22×C7—22no—
453C22×C7—22no—
454C22×C7—22no—
455C22×C7—41no—
456C22×C7—41no—
457C22×C7—41no—
458C22×C7—41no—
459C22×C7—42no—
460C22×C7—42no—
461C22×C7—42no—
462C22×C7—81no—
463C22×C7—81no—
464C22×C7—81no—
465C22×C7—81no—
466C22×C7C2×#12011yescharacteristic
467C22×C7#53211yescharacteristic
468C22×C7#53611yescharacteristic
469C22×C7C2×#13511yescharacteristic
470C22×C7C2×#13511yescharacteristic
471C22×C7#57511yescharacteristic
472C22×C7#57511yescharacteristic
473C4×C7—22no—
474C4×C7—22no—
475C4×C7—22no—
476C4×C7—41no—
477C4×C7—42no—
478C4×C7—41no—
479C4×C7—42no—
480C4×C7—42no—
481C4×C7#54711yescharacteristic
482C4×C7#54711yescharacteristic
483C4×C7#54811yescharacteristic
484C4×C7#54811yescharacteristic
485Dic7—81no—
486Dic7—81no—
487Dic7—81no—
488Dic7—81no—
489C24—21no—
490C24C2×C22⋊D711yescharacteristic
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8C2×C22⋊D712yes—
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4C2×C22⋊D712yes—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—141no—
525C22×C4—141no—
526C22×C4—141no—
527C22×C4—141no—
528C22×C4C2×C22⋊D711yescharacteristic
529C22×C4C2×C22⋊D711yescharacteristic
530C22×C4C2×C22⋊D711yescharacteristic
531C22×C4C2×C22⋊D711yescharacteristic
532C22×C4C2×C22⋊D711yescharacteristic
533C22×C4C23×D711yescharacteristic
534C2×C8—72no—
535C2×C8—72no—
536C2×C8—141no—
537C2×C8—141no—
538C2×C8—141no—
539C2×C8—141no—
540C2×C8—141no—
541C2×C8—141no—
542C2×C8—141no—
543C2×C8—141no—
544C2×C8—141no—
545C2×C8—141no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—141no—
556C4⋊C4—141no—
557C4⋊C4—141no—
558C4⋊C4—141no—
559C4⋊C4—141no—
560C4⋊C4—282no—
561C4⋊C4—282no—
562C4⋊C4—282no—
563C4⋊C4—282no—
564C4⋊C4C2×C22⋊D712yes—
565C4⋊C4C2×C22⋊D712yes—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—282no—
572C22⋊C4—282no—
573C42—24no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42C2×C22⋊D712yes—
579C42C2×C22⋊D712yes—
580C2×C7—42no—
581C2×C7—82no—
582C2×C7#243211yescharacteristic
583C2×C7#300211yescharacteristic
584C2×C7#300211yescharacteristic
585C2×C7#316811yescharacteristic
586C2×C7#318311yescharacteristic
587C2×C7#323211yescharacteristic
588C2×C7#323311yescharacteristic
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23#651312yes—
603C23C22×C22⋊D711yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—22no—
609D4—22no—
610D4—48no—
611D4—41no—
612D4—41no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—48no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—281no—
653C2×C4#651312yes—
654C2×C4#651612yes—
655C2×C4#651612yes—
656C2×C4D7×#4111yescharacteristic
657C2×C4D7×#4111yescharacteristic
658C2×C4#655411yescharacteristic
659C2×C4#655411yescharacteristic
660C2×C4C22×C22⋊D711yescharacteristic
661C2×C4C22×C22⋊D711yescharacteristic
662C8—142no—
663C8—142no—
664C8—281no—
665C8—281no—
666C7#2567511yescharacteristic, complemented, Sylow
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22C2×#651311yescharacteristic
682C22C2×#651311yescharacteristic
683C22#9051311yescharacteristic
684C22#9051311yescharacteristic
685C22#9051611yescharacteristic
686C22#9052311yescharacteristic
687C22C2×#651611yescharacteristic
688C4—22no—
689C4—22no—
690C4—22no—
691C4—41no—
692C4—42no—
693C4—42no—
694C4—41no—
695C4—42no—
696C4—561no—
697C4—561no—
698C4—561no—
699C4—561no—
700C4#9051511yescharacteristic
701C4#9051511yescharacteristic
702C4#9052211yescharacteristic
703C4#9052211yescharacteristic
704C2—42no—
705C2—82no—
706C2#1174056611yescharacteristic
707C2#1174056711yescharacteristic
708C2#1174057911yescharacteristic
709C2#1174058411yescharacteristic
710C2#1174152511yescharacteristic
711C2#1174152511yescharacteristic
712C2#1174153811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
FittingC2×C7×#529C2
socleC23×C7C22×D4
prime radicalC2×C7×#121C22
hypercenterC2×#529D7
hypocenterC7#25675
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
2. C2×#89836C2semidirect
3. C2×#89828C2semidirect
4. #11739519C2semidirect
5. #11729494C2semidirect
6. #11729479C2semidirect
7. #11729449C2semidirect
8. #11729448C2semidirect
11. #11729383C2semidirect
12. #11729382C2semidirect
13. #11729361C2semidirect
14. #11729360C2semidirect
15. C4×C22⋊(C7⋊C8)C2semidirect
666. C7#25675semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#5292
C2×#898362
C2×#898282
#117395192
#117294942
#117294792
#117294492
#117294482
#117294342
#117294332
#117293832
#117293822
#117293612
#117293602
C4×C22⋊(C7⋊C8)2
#256757