Finite Group Databasebeta

← #13360120

Subgroups — #13360120

Order 1792.

1056 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2275C211yesmaximal, characteristic, complemented
2C2×#89788C211yesmaximal, characteristic
3C2×#89790C211yesmaximal, characteristic, complemented
4C2×C4×#1141C211yesmaximal, characteristic
5#11730832C211yesmaximal, characteristic, complemented
6#11729367C211yesmaximal, characteristic
7#11729366C211yesmaximal, characteristic, complemented
8#11729358C211yesmaximal, characteristic, complemented
9#11727242C211yesmaximal, characteristic, complemented
10#11727228C211yesmaximal, characteristic, complemented
11C4×#6384C211yesmaximal, characteristic, complemented
12#11727220C211yesmaximal, characteristic, complemented
13#11727219C211yesmaximal, characteristic, complemented
14#11727216C211yesmaximal, characteristic, complemented
15#11727190C211yesmaximal, characteristic, complemented
16C2×C4×C7×D4C2211yescharacteristic
17C2×C4×C7×D4C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C22×#1142C2211yescharacteristic
20C22×#1141C2211yescharacteristic
21C2×#6438C2211yescharacteristic
22C2×C4×D28C2211yescharacteristic
23C2×C4×Dic14C2211yescharacteristic
24C4×C7×C4⋊C4C2211yescharacteristic
25C4×C7×C4⋊C4C2211yescharacteristic
26C4×C7×C4⋊C4C2211yescharacteristic
27C4×C7×C22⋊C4—21no—
28C4×C7×C22⋊C4—21no—
29C4×C7×C22⋊C4—21no—
30C7×#376C2211yescharacteristic
31C2×C7×#95—21no—
32C2×#6406C2211yescharacteristic
33C2×#6406C2211yescharacteristic
34#89790—24no—
35#89788C418yescomplemented
36C4×#1141—24no—
37C2×#6384C2211yescharacteristic
38C2×#6384C2211yescharacteristic
39C2×#6384C2211yescharacteristic
40C2×#6383C2211yescharacteristic
41C2×#6383C2211yescharacteristic
42C2×#6383C2211yescharacteristic
43C2×#6381C2211yescharacteristic
44C2×#6381C2211yescharacteristic
45#89711C2211yescharacteristic
46#89707C2211yescharacteristic
47#89701C2211yescharacteristic
48C2×C4⋊(C7⋊C8)C2211yescharacteristic
49C2×C4⋊(C7⋊C8)C2211yescharacteristic
50C2×#6377C2211yescharacteristic
51C2×C4×C7⋊C8C2211yescharacteristic
52#89442—21no—
53#89442—21no—
54#89440—21no—
55#89440—21no—
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89319C2211yescharacteristic
61#89319C2211yescharacteristic
62#21509—71nomaximal, Sylow
63C22×C7×D4C2311yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7—21no—
66C23×C4×C7—21no—
67C22×D28C2311yescharacteristic
68C22×C4×D7—21no—
69C22×Dic14C2311yescharacteristic
70C4×C7×D4—22no—
71C4×C7×D4—22no—
72C4×C7×D4—22no—
73C4×C7×D4—22no—
74C4×C7×D4C2×C414yescomplemented
75C4×C7×D4D414yes—
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C4⋊C4C2311yescharacteristic
79C2×C7×C22⋊C4—21no—
80C2×C7×C22⋊C4—21no—
81C2×C7×C22⋊C4—21no—
82C2×C42×C7—21no—
83C2×C42×C7—21no—
84C2×C42×C7—21no—
85C2×C42×C7C2311yescharacteristic
86C2×C42×C7C2311yescharacteristic
87C2×C42×C7C2311yescharacteristic
88C2×#1142—22no—
89C2×#1142—22no—
90C2×#1142C2×C414yescomplemented
91C2×#1141—22no—
92C2×#1141—22no—
93C2×#1141C2×C414yes—
94C2×(C2×D7)⋊C4—21no—
95C2×(C2×D7)⋊C4—21no—
96C2×(C2×D7)⋊C4—21no—
97C2×(C2×D7)⋊C4—21no—
98C2×(C2×D7)⋊C4—21no—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7—21no—
101C2×C4⋊Dic7C2311yescharacteristic
102C2×C4⋊Dic7C2311yescharacteristic
103C2×Dic7⋊C4—21no—
104C2×C4×Dic7—21no—
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109#6438—22no—
110#6438C2×C414yescomplemented
111C4×D28—22no—
112C4×D28—22no—
113C4×Dic14—22no—
114C4×Dic14—22no—
115C7×#95—21no—
116C7×#95—21no—
117C7×#95—21no—
118C7×#95D411yescharacteristic
119C7×#95D411yescharacteristic
120C7×#95D411yescharacteristic
121C7×#95D411yescharacteristic
122#6406—22no—
123#6406—22no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126#6384—22no—
127#6384—22no—
128#6384C2×C414yescomplemented
129#6383—22no—
130#6383—22no—
131#6383C2×C414yescomplemented
132#6381—22no—
133#6381—22no—
134C4⋊(C7⋊C8)—22no—
135C4⋊(C7⋊C8)C2×C414yescomplemented
136#6377—22no—
137C4×C7⋊C8—22no—
138C2×#463—71no—
139C2×#440—71no—
140C2×C4×D8—71no—
141#2326—71no—
142#2275D711yescharacteristic, complemented
143#1983—71no—
144#1947—71no—
145#1928—71no—
146#1925—71no—
147#1879—71no—
148#1877—71no—
149#1802—71no—
150#1768—71no—
151#1762—71no—
152C4×#103—71no—
153C24×C7—21no—
154C23×D7—21no—
155C2×C7×D4—21no—
156C2×C7×D4—21no—
157C2×C7×D4—21no—
158C2×C7×D4C22×C412yes—
159C2×C7×D4C2×D412yes—
160C2×C7×D4#4112yes—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—24no—
165C22×C4×C7—24no—
166C22×C4×C7—24no—
167C22×C4×C7—81no—
168C22×C4×C7—81no—
169C22×C4×C7—81no—
170C22×C4×C7—81no—
171C22×C4×C7—81no—
172C22×C4×C7—81no—
173C22×C4×C7C2×D411yescharacteristic
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2411yescharacteristic
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183C2×D28—21no—
184C2×D28—21no—
185C2×D28—21no—
186C2×D28—21no—
187C2×D28—21no—
188C2×D28C22×C412yes—
189C2×C4×D7—42no—
190C2×C4×D7—81no—
191C2×C4×D7—81no—
192C2×Dic14—21no—
193C2×Dic14—21no—
194C2×Dic14—21no—
195C2×Dic14—21no—
196C2×Dic14—21no—
197C2×Dic14C22×C412yes—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4C22×C412yes—
202C7×C4⋊C4C2×D412yes—
203C7×C4⋊C4#4112yes—
204C7×C22⋊C4—24no—
205C7×C22⋊C4—24no—
206C7×C22⋊C4—24no—
207C42×C7—21no—
208C42×C7—21no—
209C42×C7—81no—
210C42×C7—81no—
211C42×C7—81no—
212C42×C7C22×C412yes—
213C42×C7C2×D412yes—
214C42×C7#4112yes—
215C42×C7#4112yes—
216#1142—28no—
217#1141—28no—
218(C2×D7)⋊C4—24no—
219(C2×D7)⋊C4—24no—
220(C2×D7)⋊C4—42no—
221(C2×D7)⋊C4—81no—
222(C2×D7)⋊C4—81no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—81no—
228C4⋊Dic7—81no—
229Dic7⋊C4—42no—
230C4×Dic7—42no—
231C2×C7⋊C8—21no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8—21no—
234C2×C7⋊C8—21no—
235C2×C7⋊C8—21no—
236C2×C7⋊C8—21no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8C22×C412yes—
242C2×C7⋊C8C22×C412yes—
243C22×SD16—71no—
244C22×D8—71no—
245C2×#124—71no—
246C2×C4×Q8—71no—
247C2×C4×D4—71no—
248C2×C4×D4C2×D711yescharacteristic
249C2×C4×D4C2×D711yescharacteristic
250C2×C4×D4C2×D711yescharacteristic
251#463—78no—
252#440—144no—
253C4×D8—144no—
254C2×#107—71no—
255C2×#107—71no—
256C2×C4⋊C8—71no—
257C2×C4⋊C8—71no—
258C2×#103—71no—
259C2×#103—71no—
260C2×#103—71no—
261C2×#102—71no—
262C2×#102—71no—
263C2×#102—71no—
264C2×#102—71no—
265C2×#102—71no—
266C2×#97—71no—
267C2×C4×C8—71no—
268#391—71no—
269#390—71no—
270#388—141no—
271#388—141no—
272#385—141no—
273#385—141no—
274#384—71no—
275C4×C4⋊C4C2×D711yescharacteristic
276C4×C4⋊C4C2×D711yescharacteristic
277C4×C4⋊C4C2×D711yescharacteristic
278C4×C22⋊C4—21no—
279C4×C22⋊C4—21no—
280C4×C22⋊C4—21no—
281#376C2×D711yescharacteristic
282C2×#95—21no—
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#336—71no—
288#336—71no—
289C23×C7—22no—
290C23×C7—22no—
291C23×C7—22no—
292C23×C7—41no—
293C23×C7—41no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7C22×D411yescharacteristic
297C22×D7—22no—
298C22×D7—41no—
299C22×D7—41no—
300C22×D7—41no—
301C22×D7—41no—
302C22×D7—41no—
303C22×D7—41no—
304C7×D4—22no—
305C7×D4—22no—
306C7×D4—22no—
307C7×D4C4×D414yes—
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—21no—
319C2×C4×C7—21no—
320C2×C4×C7—22no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—84no—
332C2×C4×C7—84no—
333C2×C4×C7—84no—
334C2×C4×C7C4×D412yes—
335C2×C4×C7C4×D412yes—
336C2×C4×C7#12112yes—
337C2×C4×C7#12112yes—
338C2×C4×C7C23×C411yescharacteristic
339C2×C4×C7C22×D411yescharacteristic
340C2×C4×C7C2×#4111yescharacteristic
341C2×C4×C7C2×#4111yescharacteristic
342C2×C4×C7C2×#4111yescharacteristic
343C2×C4×C7C2×#4111yescharacteristic
344C2×Dic7—22no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353D28—22no—
354D28—22no—
355D28—41no—
356D28—41no—
357C4×D7—84no—
358Dic14—22no—
359Dic14—22no—
360Dic14—41no—
361Dic14—41no—
362C7⋊C8—22no—
363C7⋊C8—22no—
364C7⋊C8—41no—
365C7⋊C8—41no—
366C22×Q8—71no—
367C22×D4—71no—
368C22×D4C22×D711yescharacteristic
369C23×C4—21no—
370C23×C4—21no—
371C23×C4—21no—
372C23×C4—141no—
373C2×SD16—74no—
374C2×SD16—142no—
375C2×SD16—142no—
376C2×D8—74no—
377C2×D8—142no—
378C2×D8—142no—
379C22×C8—71no—
380C22×C8—71no—
381C22×C8—71no—
382C22×C8—71no—
383#124—74no—
384#124—142no—
385C4×Q8—142no—
386C4×Q8—142no—
387C4×D4—22no—
388C4×D4—22no—
389C4×D4—22no—
390C4×D4—22no—
391C4×D4—142no—
392C4×D4—142no—
393C4×D4C4×D714yescomplemented
394C4×D4D2814yes—
395C2×C4⋊C4—71no—
396C2×C4⋊C4—71no—
397C2×C4⋊C4—141no—
398C2×C4⋊C4—141no—
399C2×C4⋊C4—141no—
400C2×C4⋊C4C22×D711yescharacteristic
401C2×C4⋊C4C22×D711yescharacteristic
402C2×C4⋊C4C22×D711yescharacteristic
403C2×C22⋊C4—21no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—141no—
407C2×C22⋊C4—141no—
408C2×C22⋊C4—141no—
409C2×C22⋊C4—141no—
410C2×C22⋊C4—141no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42—141no—
415C2×C42C22×D711yescharacteristic
416C2×C42C22×D711yescharacteristic
417C2×C42C22×D711yescharacteristic
418#107—142no—
419#107—142no—
420C4⋊C8—74no—
421C4⋊C8—142no—
422#103—74no—
423#103—142no—
424#103—142no—
425#102—74no—
426#102—142no—
427#102—142no—
428#102—142no—
429#102—142no—
430#97—142no—
431C4×C8—142no—
432#95—21no—
433#95—21no—
434#95—21no—
435#95—141no—
436#95—141no—
437#95C22⋊D711yescharacteristic
438#95C22⋊D711yescharacteristic
439#95C22⋊D711yescharacteristic
440#95C22⋊D711yescharacteristic
441C22×C7—24no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—42no—
448C22×C7C2×C4×D411yescharacteristic
449C22×C7C2×#12111yescharacteristic
450C22×C7#52511yescharacteristic
451C22×C7#57611yescharacteristic
452C22×C7#57611yescharacteristic
453C22×C7#57711yescharacteristic
454C22×C7#57811yescharacteristic
455C2×D7—42no—
456C2×D7—42no—
457C2×D7—42no—
458C2×D7—81no—
459C2×D7—81no—
460C2×D7—81no—
461C2×D7—81no—
462C4×C7—22no—
463C4×C7—22no—
464C4×C7—22no—
465C4×C7—22no—
466C4×C7—41no—
467C4×C7—42no—
468C4×C7—41no—
469C4×C7—42no—
470C4×C7—42no—
471C4×C7C2×C4×D411yescharacteristic
472C4×C7C4×#4111yescharacteristic
473C4×C7#52911yescharacteristic
474C4×C7#53211yescharacteristic
475Dic7—42no—
476Dic7—81no—
477Dic7—81no—
478C24—21no—
479C24—141no—
480C2×Q8—72no—
481C2×Q8—141no—
482C2×Q8—141no—
483C2×Q8—141no—
484C2×Q8—141no—
485C2×Q8—141no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—72no—
490C2×D4—141no—
491C2×D4—141no—
492C2×D4—141no—
493C2×D4—141no—
494C2×D4—141no—
495C2×D4C2×C4×D712yes—
496C2×D4C2×D2812yes—
497C2×D4#115712yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—141no—
511C22×C4—141no—
512C22×C4—141no—
513C22×C4—282no—
514C22×C4—561no—
515C22×C4—561no—
516C22×C4C2×C22⋊D711yescharacteristic
517C22×C4C2×C22⋊D711yescharacteristic
518C22×C4C2×C22⋊D711yescharacteristic
519C22×C4C2×C22⋊D711yescharacteristic
520C22×C4C2×C22⋊D711yescharacteristic
521C22×C4C2×C22⋊D711yescharacteristic
522C22×C4C23×D711yescharacteristic
523SD16—148no—
524D8—148no—
525C2×C8—72no—
526C2×C8—72no—
527C2×C8—141no—
528C2×C8—141no—
529C2×C8—141no—
530C2×C8—141no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—141no—
541C4⋊C4—141no—
542C4⋊C4—141no—
543C4⋊C4—141no—
544C4⋊C4—282no—
545C4⋊C4—561no—
546C4⋊C4—561no—
547C4⋊C4C2×C4×D712yes—
548C4⋊C4C2×D2812yes—
549C4⋊C4#115712yes—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—144no—
554C22⋊C4—144no—
555C22⋊C4—282no—
556C22⋊C4—561no—
557C22⋊C4—561no—
558C42—21no—
559C42—21no—
560C42—81no—
561C42—81no—
562C42—81no—
563C42—282no—
564C42C2×C4×D712yes—
565C42C2×D2812yes—
566C42#115712yes—
567C42#115712yes—
568C2×C7—44no—
569C2×C7C4×#12111yescharacteristic
570C2×C7#294611yescharacteristic
571C2×C7#295111yescharacteristic
572C2×C7#304111yescharacteristic
573C2×C7#304611yescharacteristic
574C2×C7#311811yescharacteristic
575C2×C7#312411yescharacteristic
576D7—82no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—142no—
585C23—281no—
586C23—281no—
587C23—281no—
588C23—281no—
589C23—281no—
590C23—281no—
591C23C22×C22⋊D711yescharacteristic
592Q8—142no—
593Q8—142no—
594Q8—281no—
595Q8—281no—
596D4—22no—
597D4—22no—
598D4—22no—
599D4—142no—
600D4—142no—
601D4—281no—
602D4—281no—
603D4C4×D2814yes—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4—84no—
630C2×C4—142no—
631C2×C4—281no—
632C2×C4—281no—
633C2×C4—281no—
634C2×C4—281no—
635C2×C4—281no—
636C2×C4—281no—
637C2×C4—281no—
638C2×C4—281no—
639C2×C4—564no—
640C2×C4C4×C22⋊D712yes—
641C2×C4C4×C22⋊D712yes—
642C2×C4#649312yes—
643C2×C4#649312yes—
644C2×C4C22×C4×D711yescharacteristic
645C2×C4C22×D2811yescharacteristic
646C2×C4C2×#115711yescharacteristic
647C2×C4C2×#115711yescharacteristic
648C2×C4C2×#115711yescharacteristic
649C2×C4C2×#115711yescharacteristic
650C8—142no—
651C8—142no—
652C8—281no—
653C8—281no—
654C7#2150911yescharacteristic, complemented, Sylow
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—282no—
663C22—282no—
664C22—282no—
665C22—561no—
666C22—561no—
667C22—561no—
668C22—561no—
669C22C2×C4×C22⋊D711yescharacteristic
670C22C2×#649311yescharacteristic
671C22#9048211yescharacteristic
672C22#9052611yescharacteristic
673C22#9052611yescharacteristic
674C22#9052711yescharacteristic
675C22#9052911yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—42no—
681C4—42no—
682C4—41no—
683C4—42no—
684C4—41no—
685C4—282no—
686C4—561no—
687C4—561no—
688C4C2×C4×D2811yescharacteristic
689C4C4×#115711yescharacteristic
690C4#9016811yescharacteristic
691C4#9017011yescharacteristic
692C2—44no—
693C2—562no—
694C2C4×#649311yescharacteristic
695C2#1173998211yescharacteristic
696C2#1173998511yescharacteristic
697C2#1173998611yescharacteristic
698C2#1174000211yescharacteristic
699C2#1174001411yescharacteristic
700C2#1174001711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2275C2
socleC23×C7C22×D4
prime radicalC22×#1141C22
cosocleC22×C4×C7C24
hypercenter#2275D7
hypocenterC7#21509
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ #376 ◁ #2275

Complements

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

NH ≅ G/Ntype
1. C7×#2275C2semidirect
3. C2×#89790C2semidirect
5. #11730832C2semidirect
7. #11729366C2semidirect
8. #11729358C2semidirect
9. #11727242C2semidirect
10. #11727228C2semidirect
11. C4×#6384C2semidirect
12. #11727220C2semidirect
13. #11727219C2semidirect
14. #11727216C2semidirect
15. #11727190C2semidirect
35. #89788C4semidirect
74. C4×C7×D4C2×C4semidirect
90. C2×#1142C2×C4semidirect
110. #6438C2×C4semidirect
128. #6384C2×C4semidirect
131. #6383C2×C4semidirect
135. C4⋊(C7⋊C8)C2×C4semidirect
142. #2275D7semidirect
393. C4×D4C4×D7semidirect
654. C7#21509semidirect

Maximal subgroups

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

subgroupindex
C7×#22752
C2×#897882
C2×#897902
C2×C4×#11412
#117308322
#117293672
#117293662
#117293582
#117272422
#117272282
C4×#63842
#117272202
#117272192
#117272162
#117271902
#215097