Finite Group Databasebeta

← #13360114

Subgroups — #13360114

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×#2326C211yesmaximal, characteristic, complemented
2C2×#89829C211yesmaximal, characteristic
3C2×#89798C211yesmaximal, characteristic, complemented
4C2×C4×#1141C211yesmaximal, characteristic
5#11730857C211yesmaximal, characteristic, complemented
6#11729475C211yesmaximal, characteristic, complemented
7C4×#6409C211yesmaximal, characteristic, complemented
8#11729363C211yesmaximal, characteristic, complemented
9#11727441C211yesmaximal, characteristic, complemented
10#11727421C211yesmaximal, characteristic, complemented
11#11727411C211yesmaximal, characteristic
12#11727390C211yesmaximal, characteristic, complemented
13#11727338C211yesmaximal, characteristic, complemented
14#11727321C211yesmaximal, characteristic, complemented
15#11727190C211yesmaximal, characteristic, complemented
16C2×C7×#124C2211yescharacteristic
17C2×C4×C7×Q8C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C22×#1143C2211yescharacteristic
20C22×#1141C2211yescharacteristic
21C2×C4×D28C2211yescharacteristic
22C2×C4×D28C2211yescharacteristic
23C2×C4×D28C2211yescharacteristic
24C7×#391C2211yescharacteristic
25C7×#390C2211yescharacteristic
26C7×#388—21no—
27C7×#388—21no—
28C7×#385—21no—
29C7×#385—21no—
30C7×#384C2211yescharacteristic
31C7×#376C2211yescharacteristic
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34C2×#6409C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38#89829C418yescomplemented
39#89798—24no—
40C4×#1141—24no—
41C2×#6383C2211yescharacteristic
42C2×#6383C2211yescharacteristic
43C2×#6381C2211yescharacteristic
44C2×#6381C2211yescharacteristic
45C4×C4⋊Dic7C2211yescharacteristic
46C4×C4⋊Dic7C2211yescharacteristic
47C4×C4⋊Dic7C2211yescharacteristic
48C2×C4⋊(C7⋊C8)C2211yescharacteristic
49C2×C4⋊(C7⋊C8)C2211yescharacteristic
50C2×#6377C2211yescharacteristic
51C2×C4×C7⋊C8C2211yescharacteristic
52#89438—21no—
53#89438—21no—
54#89438—21no—
55D7×#95—21no—
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89319C2211yescharacteristic
61#89319C2211yescharacteristic
62#21509—71nomaximal, Sylow
63C22×C7×Q8C2311yescharacteristic
64C22×C7×D4C2311yescharacteristic
65C23×C4×C7—21no—
66C22×D28C2311yescharacteristic
67C22×C4×D7—21no—
68C22×C4×D7—21no—
69C22×C4×D7—21no—
70C7×#124—22no—
71C7×#124C2×C414yescomplemented
72C4×C7×Q8—22no—
73C4×C7×Q8—22no—
74C4×C7×D4—22no—
75C4×C7×D4—22no—
76C2×C7×C4⋊C4—21no—
77C2×C7×C4⋊C4—21no—
78C2×C7×C4⋊C4—21no—
79C2×C7×C4⋊C4C2311yescharacteristic
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C22⋊C4—21no—
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C7×C22⋊C4—21no—
85C2×C7×C22⋊C4—21no—
86C2×C42×C7—21no—
87C2×C42×C7C2311yescharacteristic
88C2×C42×C7C2311yescharacteristic
89C2×C42×C7C2311yescharacteristic
90C2×#1143—22no—
91C2×#1143—22no—
92C2×#1143C2×C414yescomplemented
93C2×#1141—22no—
94C2×#1141—22no—
95C2×#1141C2×C414yes—
96C2×(C2×D7)⋊C4—21no—
97C2×(C2×D7)⋊C4—21no—
98C2×(C2×D7)⋊C4—21no—
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2311yescharacteristic
102C2×C4×Dic7—21no—
103C2×C4×Dic7—21no—
104C2×C4×Dic7—21no—
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109C4×D28—22no—
110C4×D28—22no—
111C4×D28—22no—
112C4×D28—22no—
113C4×D28C2×C414yescomplemented
114C4×D28D414yes—
115C7×#95—21no—
116C7×#95—21no—
117C7×#95D411yescharacteristic
118C7×#95D411yescharacteristic
119C7×#95D411yescharacteristic
120C7×#95D411yescharacteristic
121#6409—22no—
122#6409—22no—
123#6409C2×C414yescomplemented
124#6406—22no—
125#6406—22no—
126#6406C2×C414yescomplemented
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130#6383—22no—
131#6383—22no—
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#2326D711yescharacteristic, complemented
142#2275—71no—
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×Q8—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8—21no—
159C2×C7×Q8—21no—
160C2×C7×Q8C22×C412yes—
161C2×C7×D4—21no—
162C2×C7×D4—21no—
163C2×C7×D4—21no—
164C2×C7×D4—21no—
165C2×C7×D4—21no—
166C2×C7×D4C22×C412yes—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—42no—
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×D28C22×C412yes—
187C2×D28C2×D412yes—
188C2×D28#4112yes—
189C2×C4×D7—24no—
190C2×C4×D7—24no—
191C2×C4×D7—24no—
192C2×C4×D7—81no—
193C2×C4×D7—81no—
194C2×C4×D7—81no—
195C2×C4×D7—81no—
196C2×C4×D7—81no—
197C2×C4×D7—81no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—42no—
203C7×C4⋊C4—81no—
204C7×C4⋊C4—81no—
205C7×C22⋊C4—24no—
206C7×C22⋊C4—24no—
207C7×C22⋊C4—42no—
208C7×C22⋊C4—81no—
209C7×C22⋊C4—81no—
210C42×C7—21no—
211C42×C7—21no—
212C42×C7—42no—
213C42×C7C22×C412yes—
214C42×C7C2×D412yes—
215C42×C7#4112yes—
216C42×C7#4112yes—
217#1143—28no—
218#1141—28no—
219(C2×D7)⋊C4—24no—
220(C2×D7)⋊C4—24no—
221(C2×D7)⋊C4—24no—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7C22×C412yes—
226C4⋊Dic7C2×D412yes—
227C4⋊Dic7#4112yes—
228C4×Dic7—81no—
229C4×Dic7—81no—
230C4×Dic7—81no—
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×#124C2×D711yescharacteristic
246C2×C4×Q8C2×D711yescharacteristic
247C2×C4×D4—71no—
248C2×C4×D4—71no—
249C2×C4×D4—71no—
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#391C2×D711yescharacteristic
269#390C2×D711yescharacteristic
270#388—21no—
271#388—21no—
272#385—21no—
273#385—21no—
274#384C2×D711yescharacteristic
275C4×C4⋊C4—71no—
276C4×C4⋊C4—71no—
277C4×C4⋊C4—71no—
278C4×C22⋊C4—141no—
279C4×C22⋊C4—141no—
280C4×C22⋊C4—141no—
281#376C2×D711yescharacteristic
282C2×#95—141no—
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#336—71no—
288#336—71no—
289C23×C7—22no—
290C23×C7—41no—
291C23×C7—41no—
292C23×C7—41no—
293C23×C7—41no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7C22×D411yescharacteristic
297C22×D7—22no—
298C22×D7—22no—
299C22×D7—22no—
300C22×D7—41no—
301C22×D7—41no—
302C22×D7—41no—
303C22×D7—41no—
304C7×Q8—22no—
305C7×Q8—22no—
306C7×Q8—41no—
307C7×Q8—41no—
308C7×D4—22no—
309C7×D4—22no—
310C7×D4—41no—
311C7×D4—41no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
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—21no—
326C2×C4×C7—21no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—41no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—41no—
335C2×C4×C7—84no—
336C2×C4×C7C4×D412yes—
337C2×C4×C7C4×D412yes—
338C2×C4×C7#12112yes—
339C2×C4×C7#12112yes—
340C2×C4×C7C23×C411yescharacteristic
341C2×C4×C7C22×D411yescharacteristic
342C2×C4×C7C2×#4111yescharacteristic
343C2×C4×C7C2×#4111yescharacteristic
344C2×C4×C7C2×#4111yescharacteristic
345C2×C4×C7C2×#4111yescharacteristic
346C2×Dic7—22no—
347C2×Dic7—22no—
348C2×Dic7—22no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355D28—22no—
356D28—22no—
357D28—22no—
358D28C4×D414yes—
359C4×D7—84no—
360C4×D7—84no—
361C4×D7—84no—
362C7⋊C8—22no—
363C7⋊C8—22no—
364C7⋊C8—41no—
365C7⋊C8—41no—
366C22×Q8C22×D711yescharacteristic
367C22×D4—71no—
368C22×D4C22×D711yescharacteristic
369C23×C4—21no—
370C23×C4—141no—
371C23×C4—141no—
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—22no—
384#124C4×D714yescomplemented
385C4×Q8—22no—
386C4×Q8—22no—
387C4×D4—22no—
388C4×D4—22no—
389C4×D4—74no—
390C4×D4—74no—
391C4×D4—142no—
392C4×D4—142no—
393C4×D4—142no—
394C4×D4—142no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—71no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4—71no—
401C2×C4⋊C4C22×D711yescharacteristic
402C2×C4⋊C4C22×D711yescharacteristic
403C2×C22⋊C4—21no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—141no—
409C2×C22⋊C4—141no—
410C2×C22⋊C4—141no—
411C2×C42—21no—
412C2×C42—141no—
413C2×C42—141no—
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—141no—
435#95—141no—
436#95—141no—
437#95C22⋊D711yescharacteristic
438#95C22⋊D711yescharacteristic
439#95C22⋊D711yescharacteristic
440#95C22⋊D711yescharacteristic
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—81no—
445C22×C7—81no—
446C22×C7—81no—
447C22×C7—81no—
448C22×C7C2×C4×D411yescharacteristic
449C22×C7C2×#12111yescharacteristic
450C22×C7#52511yescharacteristic
451C22×C7#57611yescharacteristic
452C22×C7#57611yescharacteristic
453C22×C7#57711yescharacteristic
454C22×C7#57811yescharacteristic
455C2×D7—24no—
456C2×D7—42no—
457C2×D7—42no—
458C2×D7—42no—
459C2×D7—42no—
460C2×D7—42no—
461C2×D7—42no—
462C4×C7—22no—
463C4×C7—22no—
464C4×C7—22no—
465C4×C7—22no—
466C4×C7—41no—
467C4×C7—41no—
468C4×C7—42no—
469C4×C7—81no—
470C4×C7—81no—
471C4×C7C2×C4×D411yescharacteristic
472C4×C7C4×#4111yescharacteristic
473C4×C7#52911yescharacteristic
474C4×C7#53211yescharacteristic
475Dic7—42no—
476Dic7—42no—
477Dic7—42no—
478C24—21no—
479C24—141no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8C2×C4×D712yes—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—72no—
492C2×D4—72no—
493C2×D4—72no—
494C2×D4—141no—
495C2×D4—141no—
496C2×D4—141no—
497C2×D4C2×C4×D712yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4—144no—
505C22×C4—141no—
506C22×C4—141no—
507C22×C4—141no—
508C22×C4—144no—
509C22×C4—144no—
510C22×C4—561no—
511C22×C4—561no—
512C22×C4—561no—
513C22×C4—561no—
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—21no—
541C4⋊C4—42no—
542C4⋊C4—72no—
543C4⋊C4—72no—
544C4⋊C4—72no—
545C4⋊C4—81no—
546C4⋊C4—81no—
547C4⋊C4—141no—
548C4⋊C4—141no—
549C4⋊C4—141no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—42no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—144no—
556C22⋊C4—144no—
557C22⋊C4—144no—
558C42—21no—
559C42—21no—
560C42—42no—
561C42—561no—
562C42—561no—
563C42—561no—
564C42C2×C4×D712yes—
565C42#115712yes—
566C42D4×D712yes—
567C42#115912yes—
568C2×C7—82no—
569C2×C7C4×#12111yescharacteristic
570C2×C7#294611yescharacteristic
571C2×C7#295111yescharacteristic
572C2×C7#304111yescharacteristic
573C2×C7#304611yescharacteristic
574C2×C7#311811yescharacteristic
575C2×C7#312411yescharacteristic
576D7—44no—
577C23—22no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—142no—
585C23—142no—
586C23—142no—
587C23—281no—
588C23—281no—
589C23—281no—
590C23—281no—
591C23C22×C22⋊D711yescharacteristic
592Q8—22no—
593Q8—22no—
594Q8—41no—
595Q8—41no—
596D4—22no—
597D4—22no—
598D4—41no—
599D4—41no—
600D4—74no—
601D4—142no—
602D4—142no—
603D4—142no—
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—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—142no—
629C2×C4—142no—
630C2×C4—142no—
631C2×C4—281no—
632C2×C4—281no—
633C2×C4—281no—
634C2×C4—281no—
635C2×C4—281no—
636C2×C4—281no—
637C2×C4—564no—
638C2×C4—564no—
639C2×C4—564no—
640C2×C4C4×C22⋊D712yes—
641C2×C4C4×C22⋊D712yes—
642C2×C4#650112yes—
643C2×C4#650112yes—
644C2×C4C22×C4×D711yescharacteristic
645C2×C4C2×#115711yescharacteristic
646C2×C4C2×D4×D711yescharacteristic
647C2×C4C2×#115911yescharacteristic
648C2×C4D7×#4111yescharacteristic
649C2×C4D7×#4111yescharacteristic
650C8—142no—
651C8—142no—
652C8—281no—
653C8—281no—
654C7#2150911yescharacteristic, complemented, Sylow
655C22—42no—
656C22—42no—
657C22—42no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—144no—
663C22—282no—
664C22—282no—
665C22—282no—
666C22—282no—
667C22—282no—
668C22—282no—
669C22C2×C4×C22⋊D711yescharacteristic
670C22C2×#650111yescharacteristic
671C22#9051911yescharacteristic
672C22#9052611yescharacteristic
673C22#9052611yescharacteristic
674C22#9052811yescharacteristic
675C22#9052911yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—42no—
681C4—41no—
682C4—41no—
683C4—81no—
684C4—81no—
685C4—282no—
686C4—282no—
687C4—282no—
688C4C4×#115911yescharacteristic
689C4C4×D4×D711yescharacteristic
690C4#9023911yescharacteristic
691C4#9024811yescharacteristic
692C2—82no—
693C2—284no—
694C2C4×#650111yescharacteristic
695C2#1174000211yescharacteristic
696C2#1174000911yescharacteristic
697C2#1174082911yescharacteristic
698C2#1174085111yescharacteristic
699C2#1174090511yescharacteristic
700C2#1174090611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2326C2
socleC23×C7C22×D4
prime radicalC22×#1141C22
cosocleC22×C4×C7C24
hypercenter#2326D7
hypocenterC7#21509
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ #376 ◁ #2326

Complements

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

NH ≅ G/Ntype
1. C7×#2326C2semidirect
3. C2×#89798C2semidirect
5. #11730857C2semidirect
6. #11729475C2semidirect
7. C4×#6409C2semidirect
8. #11729363C2semidirect
9. #11727441C2semidirect
10. #11727421C2semidirect
12. #11727390C2semidirect
13. #11727338C2semidirect
14. #11727321C2semidirect
15. #11727190C2semidirect
38. #89829C4semidirect
71. C7×#124C2×C4semidirect
92. C2×#1143C2×C4semidirect
113. C4×D28C2×C4semidirect
123. #6409C2×C4semidirect
126. #6406C2×C4semidirect
135. C4⋊(C7⋊C8)C2×C4semidirect
141. #2326D7semidirect
384. #124C4×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×#23262
C2×#898292
C2×#897982
C2×C4×#11412
#117308572
#117294752
C4×#64092
#117293632
#117274412
#117274212
#117274112
#117273902
#117273382
#117273212
#117271902
#215097