Finite Group Databasebeta

← #13372015

Subgroups — #13372015

Order 1792.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2352C211yesmaximal, characteristic
2#11739780C211yesmaximal, characteristic
3C2×#89784C211yesmaximal, characteristic
4C2×#89767C211yesmaximal, characteristic, complemented
5C2×#89736C211yesmaximal, characteristic, complemented
6#11729330C211yesmaximal, characteristic, complemented
7#11729309C211yesmaximal, characteristic, complemented
8#11727303C211yesmaximal, characteristic, complemented
9#11727294C211yesmaximal, characteristic, complemented
10#11727267C211yesmaximal, characteristic, complemented
11#11727267C211yesmaximal, characteristic, complemented
12#11727260C211yesmaximal, characteristic, complemented
13#11727258C211yesmaximal, characteristic, complemented
14C4×#6381C211yesmaximal, characteristic, complemented
15#11727222C211yesmaximal, characteristic, complemented
16C2×C4×C7×D4C2211yescharacteristic
17C2×C7×#117C2211yescharacteristic
18C22×C7×C4⋊C4C2211yescharacteristic
19C2×#6489C2211yescharacteristic
20C22×C4⋊Dic7C2211yescharacteristic
21C22×#1136C2211yescharacteristic
22C22×#1136C2211yescharacteristic
23C7×#388—21no—
24C7×#387—21no—
25C7×#386—21no—
26C7×#382C2211yescharacteristic
27C7×#380C2211yescharacteristic
28C7×#380C2211yescharacteristic
29C4×C7×C4⋊C4C2211yescharacteristic
30C4×C7×C22⋊C4—21no—
31#89992—21no—
32#89984C2211yescharacteristic
33#89984C2211yescharacteristic
34C2×C22⋊(C7⋊C8)C2211yescharacteristic
35C2×C22⋊(C7⋊C8)C2211yescharacteristic
36#89784C418yescomplemented
37#89767—24no—
38#89753—21no—
39#89736—24no—
40C2×#6382C2211yescharacteristic
41C2×#6382C2211yescharacteristic
42C2×#6382C2211yescharacteristic
43C2×#6382C2211yescharacteristic
44C2×#6381C2211yescharacteristic
45C2×#6381C2211yescharacteristic
46C2×#6381C2211yescharacteristic
47C2×#6381C2211yescharacteristic
48C2×#6381C2211yescharacteristic
49C2×#6381C2211yescharacteristic
50#89723—21no—
51C22⋊C4×Dic7—21no—
52#89708C2211yescharacteristic
53C4×C4⋊Dic7C2211yescharacteristic
54C2×C4⋊(C7⋊C8)C2211yescharacteristic
55C2×C4×C7⋊C8C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22664—71nomaximal, Sylow
63C22×C7×D4D411yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7C2311yescharacteristic
66C23×C4×C7C2311yescharacteristic
67C23×Dic7—21no—
68C4×C7×D4C2×C414yes—
69C4×C7×D4Q814yes—
70C7×#117—22no—
71C7×#117—41no—
72C2×C7×C4⋊C4—22no—
73C2×C7×C4⋊C4—21no—
74C2×C7×C4⋊C4—41no—
75C2×C7×C4⋊C4D411yescharacteristic
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C4⋊C4C2311yescharacteristic
79C2×C7×C4⋊C4C2311yescharacteristic
80C2×C7×C22⋊C4—21no—
81C2×C7×C22⋊C4—21no—
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4D411yescharacteristic
84C2×C7×C22⋊C4D411yescharacteristic
85C2×C42×C7—21no—
86C2×C42×C7—21no—
87C2×C42×C7C2311yescharacteristic
88C2×C22⋊Dic7—21no—
89C2×C22⋊Dic7—21no—
90C2×C22⋊Dic7—21no—
91#6489—22no—
92#6489—41no—
93C2×C4⋊Dic7—22no—
94C2×C4⋊Dic7—21no—
95C2×C4⋊Dic7—41no—
96C2×C4⋊Dic7C2311yescharacteristic
97C2×C4⋊Dic7C2311yescharacteristic
98C2×C4⋊Dic7C2311yescharacteristic
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4×Dic7—21no—
101C2×C4×Dic7—21no—
102C2×#1136—22no—
103C2×#1136—22no—
104C2×#1136—22no—
105C2×#1136—22no—
106C2×#1136C2×C414yescomplemented
107C2×#1136C2×C414yescomplemented
108C22×C7⋊C8C2311yescharacteristic
109C22×C7⋊C8C2311yescharacteristic
110C22×C7⋊C8C2311yescharacteristic
111C22×C7⋊C8C2311yescharacteristic
112C7×#95—21no—
113C7×#95—21no—
114C7×#95—21no—
115C7×#95—21no—
116C7×#95—21no—
117C7⋊#95—21no—
118C7⋊#95—21no—
119C7⋊#95—21no—
120C7⋊#95—21no—
121C7⋊#95—21no—
122C22⋊(C7⋊C8)C2×C414yescomplemented
123C22⋊(C7⋊C8)C2×C414yescomplemented
124#6382—22no—
125#6382—22no—
126#6382—22no—
127#6382—22no—
128#6381—22no—
129#6381—22no—
130#6381—22no—
131#6381—41no—
132#6381—41no—
133#6381D414yescomplemented
134C4⋊(C7⋊C8)C2×C414yescomplemented
135C4×C7⋊C8C2×C414yescomplemented
136C2×#436—71no—
137C2×#428—71no—
138C2×#428—71no—
139#2352—71no—
140#2352D711yescharacteristic
141#1949—71no—
142#1949—71no—
143#1854—71no—
144#1854—71no—
145#1852—71no—
146#1852—71no—
147#1846—71no—
148#1809—71no—
149#1809—71no—
150C4×#107—71no—
151C24×C7C2×D411yescharacteristic
152C24×C7C2×D411yescharacteristic
153C2×C7×D4—41no—
154C2×C7×D4—41no—
155C2×C7×D4C4⋊C414yes—
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—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—42no—
169C22×C4×C7—42no—
170C22×C4×C7—81no—
171C22×C4×C7C22×C412yes—
172C22×C4×C7C22×C412yes—
173C22×C4×C7C2×D411yescharacteristic
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×Q812yes—
178C22×C4×C7C2×Q812yes—
179C22×C4×C7C2411yescharacteristic
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—21no—
184C22×Dic7—42no—
185C22×Dic7—42no—
186C22×Dic7—81no—
187C7×C4⋊C4—21no—
188C7×C4⋊C4—21no—
189C7×C4⋊C4—21no—
190C7×C4⋊C4—21no—
191C7×C4⋊C4—21no—
192C7×C4⋊C4—21no—
193C7×C4⋊C4—21no—
194C7×C4⋊C4—42no—
195C7×C4⋊C4C4⋊C414yes—
196C7×C4⋊C4C2×D412yes—
197C7×C22⋊C4—42no—
198C7×C22⋊C4—42no—
199C7×C22⋊C4—81no—
200C7×C22⋊C4C4⋊C414yes—
201C7×C22⋊C4C4⋊C414yes—
202C42×C7—42no—
203C42×C7—81no—
204C42×C7C22×C412yes—
205C42×C7C2×Q812yes—
206C22⋊Dic7—42no—
207C22⋊Dic7—42no—
208C22⋊Dic7—81no—
209C4⋊Dic7—21no—
210C4⋊Dic7—21no—
211C4⋊Dic7—21no—
212C4⋊Dic7—21no—
213C4⋊Dic7—21no—
214C4⋊Dic7—21no—
215C4⋊Dic7—21no—
216C4⋊Dic7—42no—
217C4⋊Dic7C2×D412yes—
218C4×Dic7—42no—
219C4×Dic7—81no—
220#1136—28no—
221#1136—28no—
222C2×C7⋊C8—21no—
223C2×C7⋊C8—21no—
224C2×C7⋊C8—21no—
225C2×C7⋊C8—21no—
226C2×C7⋊C8—21no—
227C2×C7⋊C8—21no—
228C2×C7⋊C8C22×C412yes—
229C2×C7⋊C8C22×C412yes—
230C2×C7⋊C8C22×C412yes—
231C2×C7⋊C8C22×C412yes—
232C2×C7⋊C8C2×D412yes—
233C2×C7⋊C8#4112yes—
234C22×M16—71no—
235C22×M16—71no—
236C2×C4×D4C2×D711yescharacteristic
237C2×#117—71no—
238C2×#117C2×D711yescharacteristic
239C22×C4⋊C4—71no—
240C22×C4⋊C4C2×D711yescharacteristic
241#436—78no—
242#428—144no—
243#428—144no—
244C2×#107—71no—
245C2×#107—71no—
246C2×#107—71no—
247C2×#107—71no—
248C2×#107—71no—
249C2×#107—71no—
250C2×#106—71no—
251C2×#106—71no—
252C2×#106—71no—
253C2×#106—71no—
254C2×C4⋊C8—71no—
255C2×C22⋊C8—71no—
256C2×C22⋊C8—71no—
257C2×C4×C8—71no—
258#388—21no—
259#388—141no—
260#387—21no—
261#387—141no—
262#386—21no—
263#386—141no—
264#382—71no—
265#382C2×D711yescharacteristic
266#380—71no—
267#380—71no—
268#380C2×D711yescharacteristic
269#380C2×D711yescharacteristic
270C4×C4⋊C4—71no—
271C4×C4⋊C4C2×D711yescharacteristic
272C4×C22⋊C4—21no—
273C4×C22⋊C4—141no—
274#340—71no—
275#340—71no—
276#340—71no—
277#340—71no—
278#340—71no—
279#340—71no—
280C23×C7—21no—
281C23×C7—21no—
282C23×C7—21no—
283C23×C7—21no—
284C23×C7—21no—
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7—21no—
291C23×C7—21no—
292C23×C7C2×C4⋊C412yes—
293C23×C7C2×C4⋊C412yes—
294C23×C7C22×D411yescharacteristic
295C7×D4—44no—
296C2×C4×C7—21no—
297C2×C4×C7—21no—
298C2×C4×C7—21no—
299C2×C4×C7—21no—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
310C2×C4×C7—22no—
311C2×C4×C7—22no—
312C2×C4×C7—22no—
313C2×C4×C7—41no—
314C2×C4×C7—41no—
315C2×C4×C7—41no—
316C2×C4×C7—41no—
317C2×C4×C7—41no—
318C2×C4×C7—41no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—41no—
323C2×C4×C7—41no—
324C2×C4×C7—84no—
325C2×C4×C7C2×C4⋊C412yes—
326C2×C4×C7C2×C4⋊C412yes—
327C2×C4×C7C2×C4⋊C412yes—
328C2×C4×C7C2×C4⋊C412yes—
329C2×C4×C7C23×C411yescharacteristic
330C2×C4×C7C22×D411yescharacteristic
331C2×C4×C7C22×Q811yescharacteristic
332C2×C4×C7C2×#4111yescharacteristic
333C2×C4×C7H(5,𝔽2)11yescharacteristic
334C2×C4×C72−1+411yescharacteristic
335C2×Dic7—22no—
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×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—84no—
348C7⋊C8—22no—
349C7⋊C8—22no—
350C7⋊C8—22no—
351C7⋊C8C4×D414yes—
352C22×D4C22⋊D711yescharacteristic
353C23×C4—21no—
354C23×C4—141no—
355C23×C4C22×D711yescharacteristic
356C23×C4C22×D711yescharacteristic
357C2×M16—74no—
358C2×M16—74no—
359C2×M16—142no—
360C2×M16—142no—
361C2×M16—142no—
362C2×M16—142no—
363C22×C8—71no—
364C22×C8—71no—
365C22×C8—71no—
366C22×C8—71no—
367C4×D4Dic1414yes—
368C4×D4C4×D714yes—
369#117—22no—
370#117—41no—
371#117—142no—
372#117—281no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—41no—
376C2×C4⋊C4—71no—
377C2×C4⋊C4—71no—
378C2×C4⋊C4—71no—
379C2×C4⋊C4—71no—
380C2×C4⋊C4—142no—
381C2×C4⋊C4—141no—
382C2×C4⋊C4—281no—
383C2×C4⋊C4C22⋊D711yescharacteristic
384C2×C4⋊C4C22×D711yescharacteristic
385C2×C4⋊C4C22×D711yescharacteristic
386C2×C4⋊C4C22×D711yescharacteristic
387C2×C4⋊C4C22×D711yescharacteristic
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—141no—
392C2×C22⋊C4—141no—
393C2×C22⋊C4—141no—
394C2×C22⋊C4C22⋊D711yescharacteristic
395C2×C22⋊C4C22⋊D711yescharacteristic
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—141no—
399C2×C42—141no—
400C2×C42C22×D711yescharacteristic
401#107—74no—
402#107—142no—
403#107—142no—
404#107—142no—
405#107—281no—
406#107—281no—
407#106—142no—
408#106—142no—
409#106—142no—
410#106—142no—
411C4⋊C8—74no—
412C22⋊C8—74no—
413C22⋊C8—74no—
414C4×C8—74no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—141no—
421#95—141no—
422#95—141no—
423#95—141no—
424#95—141no—
425C22×C7—22no—
426C22×C7—22no—
427C22×C7—22no—
428C22×C7—22no—
429C22×C7—22no—
430C22×C7—22no—
431C22×C7—41no—
432C22×C7—41no—
433C22×C7—41no—
434C22×C7—41no—
435C22×C7—41no—
436C22×C7—41no—
437C22×C7—41no—
438C22×C7—41no—
439C22×C7C22×C4⋊C411yescharacteristic
440C22×C7D4211yescharacteristic
441C22×C7#54711yescharacteristic
442C22×C7#57511yescharacteristic
443C22×C7#57511yescharacteristic
444C22×C7#57611yescharacteristic
445C22×C7#57811yescharacteristic
446C4×C7—22no—
447C4×C7—22no—
448C4×C7—22no—
449C4×C7—22no—
450C4×C7—42no—
451C4×C7—81no—
452C4×C7—81no—
453C4×C7—81no—
454C4×C7C2×C4×D411yescharacteristic
455C4×C7#52011yescharacteristic
456C4×C7D4×Q811yescharacteristic
457C4×C7#55411yescharacteristic
458Dic7—42no—
459Dic7—81no—
460Dic7—81no—
461Dic7—81no—
462C24C2×C22⋊D711yescharacteristic
463C24C2×C22⋊D711yescharacteristic
464C2×D4—41no—
465C2×D4—41no—
466C2×D4Dic7⋊C414yes—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—81no—
482C22×C4—141no—
483C22×C4—141no—
484C22×C4—141no—
485C22×C4—141no—
486C22×C4—282no—
487C22×C4—282no—
488C22×C4—561no—
489C22×C4C2×Dic1412yes—
490C22×C4C2×Dic1412yes—
491C22×C4C2×C4×D712yes—
492C22×C4C2×C4×D712yes—
493C22×C4C2×C22⋊D711yescharacteristic
494C22×C4C2×C22⋊D711yescharacteristic
495C22×C4C2×C22⋊D711yescharacteristic
496C22×C4C2×C22⋊D711yescharacteristic
497C22×C4C23×D711yescharacteristic
498M16—148no—
499M16—148no—
500C2×C8—72no—
501C2×C8—72no—
502C2×C8—72no—
503C2×C8—72no—
504C2×C8—72no—
505C2×C8—72no—
506C2×C8—141no—
507C2×C8—141no—
508C2×C8—141no—
509C2×C8—141no—
510C2×C8—141no—
511C2×C8—141no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—42no—
520C4⋊C4—72no—
521C4⋊C4—141no—
522C4⋊C4—141no—
523C4⋊C4—141no—
524C4⋊C4—141no—
525C4⋊C4—141no—
526C4⋊C4—141no—
527C4⋊C4—141no—
528C4⋊C4—282no—
529C4⋊C4Dic7⋊C414yes—
530C4⋊C4D4×D712yes—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—81no—
534C22⋊C4—282no—
535C22⋊C4—282no—
536C22⋊C4—561no—
537C22⋊C4Dic7⋊C414yes—
538C22⋊C4Dic7⋊C414yes—
539C42—42no—
540C42—81no—
541C42—282no—
542C42—561no—
543C42C2×Dic1412yes—
544C42C2×C4×D712yes—
545C2×C7—42no—
546C2×C7—42no—
547C2×C7D4×C4⋊C411yescharacteristic
548C2×C7#291111yescharacteristic
549C2×C7#291311yescharacteristic
550C2×C7#327311yescharacteristic
551C2×C7#327711yescharacteristic
552C2×C7#335211yescharacteristic
553C2×C7#335511yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23C2×Dic7⋊C412yes—
567C23C2×Dic7⋊C412yes—
568C23C22×C22⋊D711yescharacteristic
569D4—44no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
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—41no—
598C2×C4—84no—
599C2×C4—142no—
600C2×C4—281no—
601C2×C4—281no—
602C2×C4—281no—
603C2×C4—281no—
604C2×C4—281no—
605C2×C4—281no—
606C2×C4—281no—
607C2×C4—281no—
608C2×C4—281no—
609C2×C4—281no—
610C2×C4—281no—
611C2×C4—564no—
612C2×C4C2×Dic7⋊C412yes—
613C2×C4C2×Dic7⋊C412yes—
614C2×C4C2×Dic7⋊C412yes—
615C2×C4C2×Dic7⋊C412yes—
616C2×C4C22×Dic1411yescharacteristic
617C2×C4C22×C4×D711yescharacteristic
618C2×C4C2×D4×D711yescharacteristic
619C2×C4#654811yescharacteristic
620C2×C4D7×#4111yescharacteristic
621C2×C4#655411yescharacteristic
622C8—74no—
623C8—142no—
624C8—142no—
625C8—142no—
626C7#2266411yescharacteristic, complemented, Sylow
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C22×Dic7⋊C411yescharacteristic
642C22D4×C22⋊D711yescharacteristic
643C22#9051311yescharacteristic
644C22#9051311yescharacteristic
645C22#9051511yescharacteristic
646C22#9052611yescharacteristic
647C22#9052911yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—282no—
657C4—561no—
658C4—561no—
659C4—561no—
660C4D4×Dic1411yescharacteristic
661C4#9023011yescharacteristic
662C4C4×D4×D711yescharacteristic
663C4#9023711yescharacteristic
664C2—42no—
665C2—42no—
666C2#1173965211yescharacteristic
667C2D4×Dic7⋊C411yescharacteristic
668C2#1174000711yescharacteristic
669C2#1174094911yescharacteristic
670C2#1174099311yescharacteristic
671C2#1174104211yescharacteristic
672C2#1174105811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2352C2
socleC23×C7C22×D4
prime radicalC22×C7×D4D4
cosocleC22×C4×C7C24
hypercenter#2352D7
hypocenterC7#22664
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
4. C2×#89767C2semidirect
5. C2×#89736C2semidirect
6. #11729330C2semidirect
7. #11729309C2semidirect
8. #11727303C2semidirect
9. #11727294C2semidirect
10. #11727267C2semidirect
11. #11727267C2semidirect
12. #11727260C2semidirect
13. #11727258C2semidirect
14. C4×#6381C2semidirect
15. #11727222C2semidirect
36. #89784C4semidirect
106. C2×#1136C2×C4semidirect
107. C2×#1136C2×C4semidirect
122. C22⋊(C7⋊C8)C2×C4semidirect
123. C22⋊(C7⋊C8)C2×C4semidirect
133. #6381D4semidirect
134. C4⋊(C7⋊C8)C2×C4semidirect
135. C4×C7⋊C8C2×C4semidirect
626. C7#22664semidirect

Maximal subgroups

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

subgroupindex
C7×#23522
#117397802
C2×#897842
C2×#897672
C2×#897362
#117293302
#117293092
#117273032
#117272942
#117272672
#117272602
#117272582
C4×#63812
#117272222
#226647