Finite Group Databasebeta

← #13360809

Subgroups — #13360809

Order 1792.

924 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#6492C211yesmaximal, characteristic
2C2×C4×#1136C211yesmaximal, characteristic, complemented
3C2×#89501C211yesmaximal, characteristic
4C7×#1817C211yesmaximal, characteristic, complemented
5#11727707C211yesmaximal, characteristic
6#11727705C211yesmaximal, characteristic, complemented
7#11727703C211yesmaximal, characteristic, complemented
8#11726412C211yesmaximal, characteristic, complemented
9#11726411C211yesmaximal, characteristic, complemented
10#11726410C211yesmaximal, characteristic, complemented
11#11726409C211yesmaximal, characteristic, complemented
12#11726408C211yesmaximal, characteristic, complemented
13#11726405C211yesmaximal, characteristic, complemented
14#11726404C211yesmaximal, characteristic, complemented
15#11726403C211yesmaximal, characteristic, complemented
16C22×C42×C7C2211yescharacteristic
17C2×#6492C411yescharacteristic
18C2×C4×C22⋊D7C2211yescharacteristic
19C22×#1136C2211yescharacteristic
20C22×#1136C2211yescharacteristic
21C22×#1131C2211yescharacteristic
22C2×C7×C22⋊C8C2211yescharacteristic
23C2×C7×C22⋊C8C2211yescharacteristic
24#89985C411yescharacteristic
25#89983C411yescharacteristic
26#89982C411yescharacteristic
27C4×C22⋊Dic7C2211yescharacteristic
28C2×(C2×D7)⋊C8C2211yescharacteristic
29C2×(C2×D7)⋊C8C2211yescharacteristic
30C2×(C2×D7)⋊C8C2211yescharacteristic
31C2×#6389C2211yescharacteristic
32C2×Dic7⋊C8C2211yescharacteristic
33C2×Dic7⋊C8C2211yescharacteristic
34C2×Dic7⋊C8C2211yescharacteristic
35C2×C8×Dic7C2211yescharacteristic
36C2×C8×Dic7C2211yescharacteristic
37#89712C411yescharacteristic
38#89712C411yescharacteristic
39C4×(C2×D7)⋊C4C2211yescharacteristic
40C4×(C2×D7)⋊C4C2211yescharacteristic
41#89705C411yescharacteristic
42#89705C411yescharacteristic
43C4×Dic7⋊C4C2211yescharacteristic
44C4×Dic7⋊C4C2211yescharacteristic
45C4×#1136—24no—
46C2×#6377C2211yescharacteristic
47C2×#6377C2211yescharacteristic
48C2×C4×C7⋊C8C2211yescharacteristic
49C2×C4×C7⋊C8C2211yescharacteristic
50#89501—24no—
51C7×#336C2211yescharacteristic
52C7×#336C2211yescharacteristic
53C7×#336C2211yescharacteristic
54C7×#336C2211yescharacteristic
55#89345C2211yescharacteristic
56#89345C2211yescharacteristic
57#89345C2211yescharacteristic
58#89345C2211yescharacteristic
59#89345C2211yescharacteristic
60#89345C2211yescharacteristic
61#21565—71nomaximal, Sylow
62C23×C4×C7C2×C411yescharacteristic
63C23×C4×C7C2×C411yescharacteristic
64C23×C4×C7C2311yescharacteristic
65C22×C22⋊D7C2×C411yescharacteristic
66C22×C4×D7C2311yescharacteristic
67C22×C7×C8C2311yescharacteristic
68C22×C7×C8C2311yescharacteristic
69C22×C7×C8C2311yescharacteristic
70C22×C7×C8C2311yescharacteristic
71C2×C42×C7—22no—
72C2×C42×C7—22no—
73C2×C42×C7C2×C411yescharacteristic
74C2×C42×C7C2×C411yescharacteristic
75C2×C42×C7C2311yescharacteristic
76C2×C42×C7C2311yescharacteristic
77C2×C22⋊Dic7C2×C411yescharacteristic
78C2×C22⋊Dic7C2×C411yescharacteristic
79C2×C22⋊Dic7C2×C411yescharacteristic
80#6492—24no—
81C4×C22⋊D7—22no—
82C4×C22⋊D7—22no—
83C2×(C2×D7)⋊C4C2×C411yescharacteristic
84C2×(C2×D7)⋊C4C2×C411yescharacteristic
85C2×(C2×D7)⋊C4C2×C411yescharacteristic
86C2×(C2×D7)⋊C4C2×C411yescharacteristic
87C2×(C2×D7)⋊C4C2×C411yescharacteristic
88C2×Dic7⋊C4C2×C411yescharacteristic
89C2×Dic7⋊C4C2×C411yescharacteristic
90C2×Dic7⋊C4C2×C411yescharacteristic
91C2×Dic7⋊C4C2×C411yescharacteristic
92C2×Dic7⋊C4C2×C411yescharacteristic
93C2×C4×Dic7C2311yescharacteristic
94C2×C4×Dic7C2311yescharacteristic
95C2×C4×Dic7C2311yescharacteristic
96C2×#1136—22no—
97C2×#1136—22no—
98C2×#1136—22no—
99C2×#1136—22no—
100C2×#1136—22no—
101C2×#1136D414yes—
102C22×C7⋊C8C2311yescharacteristic
103C22×C7⋊C8C2311yescharacteristic
104C22×C7⋊C8C2311yescharacteristic
105C22×C7⋊C8C2311yescharacteristic
106C2×#1131—22no—
107C2×#1131—22no—
108C2×#1131—22no—
109C7×C22⋊C8—22no—
110C7×C22⋊C8—22no—
111C7⋊#95C2×C411yescharacteristic
112C7⋊#95C2×C411yescharacteristic
113C7⋊#95C2×C411yescharacteristic
114C7⋊#95C2×C411yescharacteristic
115C7⋊#95C2×C411yescharacteristic
116C7⋊#95C2×C411yescharacteristic
117C7⋊#95C2×C411yescharacteristic
118C7⋊#95C2×C411yescharacteristic
119C7⋊#95C2×C411yescharacteristic
120C7⋊#95C2×C411yescharacteristic
121(C2×D7)⋊C8—22no—
122(C2×D7)⋊C8—22no—
123(C2×D7)⋊C8—22no—
124#6389—22no—
125Dic7⋊C8—22no—
126Dic7⋊C8—22no—
127Dic7⋊C8—22no—
128C8×Dic7—22no—
129C8×Dic7—22no—
130#6377—22no—
131#6377—22no—
132C4×C7⋊C8—22no—
133C4×C7⋊C8—22no—
134C2×#436—71no—
135C2×C4×M16—71no—
136C4×#123—71no—
137#1924—71no—
138#1923—71no—
139#1917—71no—
140#1916—71no—
141#1870—71no—
142#1851—71no—
143#1817D711yescharacteristic, complemented
144#1771—71no—
145C8×C4⋊C4—71no—
146#1753—71no—
147#1753—71no—
148#1753—71no—
149C24×C7C22×C411yescharacteristic
150C23×D7C22×C411yescharacteristic
151C22×C4×C7—21no—
152C22×C4×C7—21no—
153C22×C4×C7—21no—
154C22×C4×C7—21no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—22no—
159C22×C4×C7—41no—
160C22×C4×C7—41no—
161C22×C4×C7C22×C411yescharacteristic
162C22×C4×C7C22×C411yescharacteristic
163C22×C4×C7C22×C411yescharacteristic
164C22×C4×C7C22×C411yescharacteristic
165C22×C4×C7C22×C411yescharacteristic
166C22×C4×C7C2×D412yes—
167C22×C4×C7#4112yes—
168C22×C4×C7C2411yescharacteristic
169C2×C22⋊D7—22no—
170C2×C22⋊D7—22no—
171C2×C22⋊D7—41no—
172C22×Dic7C22×C411yescharacteristic
173C22×Dic7C22×C411yescharacteristic
174C22×Dic7C22×C411yescharacteristic
175C22×Dic7C22×C411yescharacteristic
176C22×Dic7C22×C411yescharacteristic
177C22×Dic7C22×C411yescharacteristic
178C22×Dic7C22×C411yescharacteristic
179C2×C4×D7—21no—
180C2×C4×D7—21no—
181C2×C4×D7—21no—
182C2×C4×D7—21no—
183C2×C4×D7—21no—
184C2×C4×D7—21no—
185C2×C7×C8—21no—
186C2×C7×C8—21no—
187C2×C7×C8—21no—
188C2×C7×C8—21no—
189C2×C7×C8—21no—
190C2×C7×C8—21no—
191C2×C7×C8—21no—
192C2×C7×C8—21no—
193C2×C7×C8—21no—
194C2×C7×C8—21no—
195C2×C7×C8—21no—
196C2×C7×C8—21no—
197C42×C7—22no—
198C42×C7—22no—
199C42×C7—21no—
200C42×C7—21no—
201C42×C7—21no—
202C42×C7—21no—
203C22⋊Dic7—22no—
204C22⋊Dic7—22no—
205C22⋊Dic7—41no—
206(C2×D7)⋊C4—22no—
207(C2×D7)⋊C4—22no—
208(C2×D7)⋊C4—22no—
209(C2×D7)⋊C4—22no—
210(C2×D7)⋊C4—41no—
211Dic7⋊C4—22no—
212Dic7⋊C4—22no—
213Dic7⋊C4—22no—
214Dic7⋊C4—41no—
215Dic7⋊C4M1614yescomplemented
216C4×Dic7—21no—
217C4×Dic7—21no—
218C4×Dic7—21no—
219C4×Dic7—21no—
220C4×Dic7—21no—
221C4×Dic7—21no—
222#1136—28no—
223#1136—28no—
224C2×C7⋊C8—21no—
225C2×C7⋊C8—21no—
226C2×C7⋊C8—21no—
227C2×C7⋊C8—21no—
228C2×C7⋊C8—21no—
229C2×C7⋊C8—21no—
230C2×C7⋊C8C2×D412yes—
231C2×C7⋊C8C2×D412yes—
232C2×C7⋊C8#4112yes—
233C2×C7⋊C8#4112yes—
234C2×C7⋊C8#4112yes—
235C2×C7⋊C8#4112yes—
236#1131—44no—
237C22×M16—71no—
238C22×M16—71no—
239C22×M16—71no—
240C2×#123—71no—
241C2×C4×D4—71no—
242C22×C42C2×D711yescharacteristic
243#436—144no—
244C2×C4⋊C8—71no—
245C2×C4⋊C8—71no—
246C2×C4⋊C8—71no—
247C2×C22⋊C8—71no—
248C2×C22⋊C8—71no—
249C2×C22⋊C8—71no—
250C2×C22⋊C8C2×D711yescharacteristic
251C2×C22⋊C8C2×D711yescharacteristic
252C4×M16—144no—
253C2×#97—71no—
254C2×#97—71no—
255C2×#97—71no—
256C2×C4×C8—71no—
257C2×C4×C8—71no—
258C2×C4×C8—71no—
259C2×C4×C8—71no—
260#388—71no—
261#388—71no—
262#387—71no—
263#387—71no—
264#386—71no—
265#385—71no—
266#381—71no—
267C4×C4⋊C4—71no—
268C4×C4⋊C4—71no—
269C4×C22⋊C4—71no—
270C4×C22⋊C4—71no—
271C4×C22⋊C4—71no—
272#336—71no—
273#336—71no—
274#336—71no—
275#336—71no—
276#336—71no—
277#336—71no—
278#336C2×D711yescharacteristic
279#336C2×D711yescharacteristic
280#336C2×D711yescharacteristic
281#336C2×D711yescharacteristic
282C23×C7—21no—
283C23×C7—21no—
284C23×C7—21no—
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7C4×D412yes—
289C23×C7C23×C411yescharacteristic
290C22×D7—21no—
291C22×D7—21no—
292C22×D7—21no—
293C22×D7—21no—
294C22×D7—21no—
295C22×D7—21no—
296C22×D7—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—22no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—44no—
314C2×C4×C7—44no—
315C2×C4×C7C4×D412yes—
316C2×C4×C7C2×M1612yes—
317C2×C4×C7#13112yes—
318C2×C4×C7C22×D411yescharacteristic
319C2×C4×C7C2×#4111yescharacteristic
320C2×C4×C7C2×#4111yescharacteristic
321C2×C4×C7C2×#4111yescharacteristic
322C2×C4×C7C2×#4111yescharacteristic
323C2×C4×C7C2×#4111yescharacteristic
324C22⋊D7—44no—
325C2×Dic7—21no—
326C2×Dic7—21no—
327C2×Dic7—21no—
328C2×Dic7—21no—
329C2×Dic7—21no—
330C2×Dic7—21no—
331C2×Dic7—21no—
332C2×Dic7—21no—
333C2×Dic7—21no—
334C2×Dic7—21no—
335C2×Dic7—21no—
336C2×Dic7—21no—
337C2×Dic7—21no—
338C2×Dic7—21no—
339C2×Dic7—21no—
340C2×Dic7—21no—
341C2×Dic7—21no—
342C2×Dic7—21no—
343C2×Dic7—21no—
344C2×Dic7C2×M1612yes—
345C2×Dic7C2×M1612yes—
346C4×D7—41no—
347C4×D7—41no—
348C4×D7—41no—
349C4×D7—41no—
350C7×C8—41no—
351C7×C8—41no—
352C7×C8—41no—
353C7×C8—41no—
354C7⋊C8—22no—
355C7⋊C8—22no—
356C7⋊C8—22no—
357C7⋊C8#12314yescomplemented
358C22×D4—71no—
359C23×C4—71no—
360C23×C4C4×D711yescharacteristic
361C23×C4C4×D711yescharacteristic
362C23×C4C22×D711yescharacteristic
363C2×M16—74no—
364C2×M16—142no—
365C2×M16—142no—
366C2×M16—142no—
367C2×M16—142no—
368C2×M16—142no—
369C2×M16—142no—
370C2×M16—142no—
371C2×M16—142no—
372C22×C8—71no—
373C22×C8—71no—
374C22×C8—71no—
375C22×C8—71no—
376C22×C8C22×D711yescharacteristic
377C22×C8C22×D711yescharacteristic
378C22×C8C22×D711yescharacteristic
379C22×C8C22×D711yescharacteristic
380#123—144no—
381C4×D4—142no—
382C4×D4—142no—
383C2×C4⋊C4—71no—
384C2×C4⋊C4—71no—
385C2×C4⋊C4—71no—
386C2×C4⋊C4—71no—
387C2×C4⋊C4—71no—
388C2×C22⋊C4—71no—
389C2×C22⋊C4—71no—
390C2×C22⋊C4—71no—
391C2×C22⋊C4—71no—
392C2×C22⋊C4—71no—
393C2×C22⋊C4—71no—
394C2×C22⋊C4—71no—
395C2×C22⋊C4—71no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—71no—
399C2×C42—71no—
400C2×C42—71no—
401C2×C42C4×D711yescharacteristic
402C2×C42C4×D711yescharacteristic
403C2×C42C22×D711yescharacteristic
404C2×C42C22×D711yescharacteristic
405C4⋊C8—142no—
406C4⋊C8—142no—
407C4⋊C8—142no—
408C22⋊C8—22no—
409C22⋊C8—22no—
410C22⋊C8—142no—
411C22⋊C8—142no—
412C22⋊C8—142no—
413#97—142no—
414#97—142no—
415#97—142no—
416C4×C8—142no—
417C4×C8—142no—
418C4×C8—142no—
419C4×C8—142no—
420#95—71no—
421#95—71no—
422#95—71no—
423#95—71no—
424#95—71no—
425#95—71no—
426#95—71no—
427#95—71no—
428#95—71no—
429#95—71no—
430C22×C7—22no—
431C22×C7—22no—
432C22×C7—22no—
433C22×C7—41no—
434C22×C7—41no—
435C22×C7—41no—
436C22×C7—41no—
437C22×C7C2×C4×D411yescharacteristic
438C22×C7C4×#4111yescharacteristic
439C22×C7C4×#4111yescharacteristic
440C22×C7C22×M1611yescharacteristic
441C22×C7C2×#13111yescharacteristic
442C22×C7#56811yescharacteristic
443C22×C7#56811yescharacteristic
444C2×D7—41no—
445C2×D7—41no—
446C2×D7—41no—
447C2×D7—41no—
448C2×D7—41no—
449C2×D7—41no—
450C2×D7—41no—
451C4×C7—22no—
452C4×C7—22no—
453C4×C7—22no—
454C4×C7—41no—
455C4×C7—41no—
456C4×C7C2×#12311yescharacteristic
457C4×C7#52511yescharacteristic
458C4×C7#52911yescharacteristic
459C4×C7#52911yescharacteristic
460Dic7—22no—
461Dic7—22no—
462Dic7—41no—
463Dic7—41no—
464Dic7—41no—
465Dic7—41no—
466Dic7—41no—
467C24—71no—
468C24C2×C4×D711yescharacteristic
469C2×D4—142no—
470C2×D4—142no—
471C2×D4—281no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—71no—
483C22×C4—71no—
484C22×C4—71no—
485C22×C4—71no—
486C22×C4—71no—
487C22×C4—71no—
488C22×C4—71no—
489C22×C4—141no—
490C22×C4—141no—
491C22×C4—141no—
492C22×C4—141no—
493C22×C4—141no—
494C22×C4—141no—
495C22×C4C2×C4×D711yescharacteristic
496C22×C4C2×C4×D711yescharacteristic
497C22×C4C2×C4×D711yescharacteristic
498C22×C4C2×C4×D711yescharacteristic
499C22×C4C2×C4×D711yescharacteristic
500C22×C4D4×D712yes—
501C22×C4#115912yes—
502C22×C4C23×D711yescharacteristic
503M16—148no—
504M16—148no—
505M16—284no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—72no—
519C2×C8—72no—
520C2×C8—72no—
521C2×C8—72no—
522C2×C8—72no—
523C2×C8—72no—
524C2×C8—141no—
525C2×C8—141no—
526C2×C8—141no—
527C2×C8—141no—
528C2×C8—141no—
529C2×C8—141no—
530C4⋊C4—74no—
531C4⋊C4—142no—
532C4⋊C4—142no—
533C4⋊C4—142no—
534C4⋊C4—281no—
535C22⋊C4—142no—
536C22⋊C4—142no—
537C22⋊C4—142no—
538C22⋊C4—142no—
539C22⋊C4—142no—
540C22⋊C4—142no—
541C22⋊C4—281no—
542C22⋊C4—281no—
543C42—22no—
544C42—22no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—141no—
550C42—141no—
551C42—141no—
552C42—141no—
553C42—141no—
554C42—141no—
555C2×C7—42no—
556C2×C7C4×#12311yescharacteristic
557C2×C7#293311yescharacteristic
558C2×C7D4×M1611yescharacteristic
559C2×C7#296511yescharacteristic
560C2×C7#296711yescharacteristic
561C2×C7#296911yescharacteristic
562C2×C7#297111yescharacteristic
563D7—81no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—141no—
571C23—141no—
572C23—141no—
573C23—141no—
574C23—141no—
575C23—141no—
576C23—141no—
577C23(C22⋊D7)⋊C412yes—
578C23C22×C4×D711yescharacteristic
579D4—284no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—72no—
599C2×C4—72no—
600C2×C4—141no—
601C2×C4—141no—
602C2×C4—141no—
603C2×C4—141no—
604C2×C4—141no—
605C2×C4—141no—
606C2×C4—141no—
607C2×C4—141no—
608C2×C4—141no—
609C2×C4—141no—
610C2×C4—141no—
611C2×C4—141no—
612C2×C4—141no—
613C2×C4—141no—
614C2×C4—141no—
615C2×C4—141no—
616C2×C4—141no—
617C2×C4—141no—
618C2×C4—141no—
619C2×C4—281no—
620C2×C4—281no—
621C2×C4—281no—
622C2×C4—281no—
623C2×C4(C22⋊D7)⋊C412yes—
624C2×C4#646412yes—
625C2×C4D7×M1612yes—
626C2×C4C2×D4×D711yescharacteristic
627C2×C4C2×#115911yescharacteristic
628C2×C4D7×#4111yescharacteristic
629C2×C4D7×#4111yescharacteristic
630C2×C4D7×#4111yescharacteristic
631C2×C4D7×#4111yescharacteristic
632C8—41no—
633C8—41no—
634C8—41no—
635C8—41no—
636C8—74no—
637C8—142no—
638C8—142no—
639C8—142no—
640C7#2156511yescharacteristic, complemented, Sylow
641C22—22no—
642C22—22no—
643C22—22no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—281no—
649C22—281no—
650C22—281no—
651C22—281no—
652C22—281no—
653C22—281no—
654C22—281no—
655C22C2×(C22⋊D7)⋊C411yescharacteristic
656C22#9021311yescharacteristic
657C22#9021311yescharacteristic
658C22C2×#646411yescharacteristic
659C22C2×D7×M1611yescharacteristic
660C22#9043611yescharacteristic
661C22#9043611yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—142no—
668C4—142no—
669C4—281no—
670C4—281no—
671C4—281no—
672C4—281no—
673C4—281no—
674C4#9034011yescharacteristic
675C4#9034011yescharacteristic
676C4D7×#12311yescharacteristic
677C4#9034711yescharacteristic
678C2—42no—
679C2—561no—
680C2#1173149711yescharacteristic
681C2#1173604111yescharacteristic
682C2#1173607311yescharacteristic
683C2#1173672311yescharacteristic
684C2#1173672511yescharacteristic
685C2#1173677111yescharacteristic
686C2#1173677411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D7
commutator, socleC23×C7C23×C4
FittingC7×#1817C2
prime radicalC22×C22⋊D7C2×C4
cosocleC22×C4×C7C24
hypercenter#1817D7
hypocenterC7#21565
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ #1817

Complements

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

NH ≅ G/Ntype
2. C2×C4×#1136C2semidirect
4. C7×#1817C2semidirect
6. #11727705C2semidirect
7. #11727703C2semidirect
8. #11726412C2semidirect
9. #11726411C2semidirect
10. #11726410C2semidirect
11. #11726409C2semidirect
12. #11726408C2semidirect
13. #11726405C2semidirect
14. #11726404C2semidirect
15. #11726403C2semidirect
143. #1817D7semidirect
215. Dic7⋊C4M16semidirect
357. C7⋊C8#123semidirect
640. C7#21565semidirect

Maximal subgroups

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

subgroupindex
C4×#64922
C2×C4×#11362
C2×#895012
C7×#18172
#117277072
#117277052
#117277032
#117264122
#117264112
#117264102
#117264092
#117264082
#117264052
#117264042
#117264032
#215657