Finite Group Databasebeta

← #13360810

Subgroups — #13360810

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
1C2×C7×#436C211yesmaximal, characteristic
2C2×M16×Dic7C211yesmaximal, characteristic, complemented
3C4×#6498C211yesmaximal, characteristic
4#11729737C211yesmaximal, characteristic, complemented
5#11729737C211yesmaximal, characteristic, complemented
6#11729737C211yesmaximal, characteristic, complemented
7#11729365C211yesmaximal, characteristic
8#11728202C211yesmaximal, characteristic, complemented
9#11728201C211yesmaximal, characteristic, complemented
10#11727705C211yesmaximal, characteristic, complemented
11#11727668C211yesmaximal, characteristic, complemented
12#11727666C211yesmaximal, characteristic, complemented
13#11727664C211yesmaximal, characteristic, complemented
14#11727537C211yesmaximal, characteristic, complemented
15C8×Dic7⋊C4C211yesmaximal, characteristic, complemented
16C22×C7×M16C2211yescharacteristic
17C22×C7×M16C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C2×#6498C411yescharacteristic
20C22×C4×Dic7C2211yescharacteristic
21C22×#1136C2211yescharacteristic
22C7×#436—24no—
23C2×C7×C4⋊C8C2211yescharacteristic
24C2×C7×C22⋊C8C2211yescharacteristic
25C2×C7×C22⋊C8C2211yescharacteristic
26C2×C4×C7×C8C2211yescharacteristic
27#89992C411yescharacteristic
28C4×C22⋊Dic7C2211yescharacteristic
29C4×C22⋊Dic7C2211yescharacteristic
30C4×C22⋊Dic7C2211yescharacteristic
31C2×C22⋊(C7⋊C8)C2211yescharacteristic
32C2×C22⋊(C7⋊C8)C2211yescharacteristic
33C2×C22⋊(C7⋊C8)C2211yescharacteristic
34M16×Dic7—24no—
35C2×#6389C2211yescharacteristic
36C2×#6389C2211yescharacteristic
37C2×#6389C2211yescharacteristic
38C2×Dic7⋊C8C2211yescharacteristic
39C2×Dic7⋊C8C2211yescharacteristic
40C2×C8×Dic7C2211yescharacteristic
41C2×C8×Dic7C2211yescharacteristic
42C2×C8×Dic7C2211yescharacteristic
43#89750C411yescharacteristic
44#89750C411yescharacteristic
45#89718C411yescharacteristic
46#89716C411yescharacteristic
47#89716C411yescharacteristic
48#89715C411yescharacteristic
49C4×Dic7⋊C4C2211yescharacteristic
50C4×Dic7⋊C4C2211yescharacteristic
51#89345C2211yescharacteristic
52#89345C2211yescharacteristic
53#89345C2211yescharacteristic
54#89345C2211yescharacteristic
55#89345C2211yescharacteristic
56#89345C2211yescharacteristic
57#89345C2211yescharacteristic
58#89345C2211yescharacteristic
59#89319C2211yescharacteristic
60#89319C2211yescharacteristic
61#21565—71nomaximal, Sylow
62C22×C7×D4C2×C411yescharacteristic
63C23×C4×C7C2311yescharacteristic
64C23×C4×C7C2311yescharacteristic
65C23×Dic7C2×C411yescharacteristic
66C23×Dic7C2×C411yescharacteristic
67C2×C7×M16—22no—
68C2×C7×M16—22no—
69C2×C7×M16—22no—
70C2×C7×M16—22no—
71C2×C7×M16—22no—
72C2×C7×M16D414yes—
73C22×C7×C8C2311yescharacteristic
74C22×C7×C8C2311yescharacteristic
75C22×C7×C8C2311yescharacteristic
76C22×C7×C8C2311yescharacteristic
77C4×C7×D4—22no—
78C4×C7×D4—22no—
79C2×C7×C4⋊C4C2×C411yescharacteristic
80C2×C7×C22⋊C4C2×C411yescharacteristic
81C2×C7×C22⋊C4C2×C411yescharacteristic
82C2×C42×C7C2311yescharacteristic
83C2×C22⋊Dic7C2×C411yescharacteristic
84C2×C22⋊Dic7C2×C411yescharacteristic
85C2×C22⋊Dic7C2×C411yescharacteristic
86C2×C22⋊Dic7C2×C411yescharacteristic
87C2×C22⋊Dic7C2×C411yescharacteristic
88C2×C22⋊Dic7C2×C411yescharacteristic
89#6498—24no—
90C2×Dic7⋊C4C2×C411yescharacteristic
91C2×Dic7⋊C4C2×C411yescharacteristic
92C2×Dic7⋊C4C2×C411yescharacteristic
93C2×Dic7⋊C4C2×C411yescharacteristic
94C2×C4×Dic7—22no—
95C2×C4×Dic7—22no—
96C2×C4×Dic7C2×C411yescharacteristic
97C2×C4×Dic7C2×C411yescharacteristic
98C2×C4×Dic7C2311yescharacteristic
99C2×C4×Dic7C2311yescharacteristic
100C2×C4×Dic7C2311yescharacteristic
101C2×C4×Dic7C2311yescharacteristic
102C2×#1136—22no—
103C2×#1136—22no—
104C2×#1136—22no—
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109C7×C4⋊C8—22no—
110C7×C22⋊C8—22no—
111C7×C22⋊C8—22no—
112C4×C7×C8—22no—
113C7⋊#95C2×C411yescharacteristic
114C7⋊#95C2×C411yescharacteristic
115C7⋊#95C2×C411yescharacteristic
116C7⋊#95C2×C411yescharacteristic
117C7⋊#95C2×C411yescharacteristic
118C7⋊#95C2×C411yescharacteristic
119C7⋊#95C2×C411yescharacteristic
120C7⋊#95C2×C411yescharacteristic
121C7⋊#95C2×C411yescharacteristic
122C7⋊#95C2×C411yescharacteristic
123C22⋊(C7⋊C8)—22no—
124C22⋊(C7⋊C8)—22no—
125C22⋊(C7⋊C8)—22no—
126#6389—22no—
127#6389—22no—
128#6389—22no—
129Dic7⋊C8—22no—
130Dic7⋊C8—22no—
131C8×Dic7—22no—
132C8×Dic7—22no—
133C8×Dic7—22no—
134C2×#436D711yescharacteristic
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#1817—71no—
144#1771—71no—
145C8×C4⋊C4—71no—
146#1753—71no—
147#1753—71no—
148#1753—71no—
149C24×C7C22×C411yescharacteristic
150C24×C7C22×C411yescharacteristic
151C2×C7×D4—22no—
152C2×C7×D4—22no—
153C2×C7×D4—41no—
154C22×C4×C7—21no—
155C22×C4×C7—21no—
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×C7C22×C411yescharacteristic
165C22×C4×C7C22×C411yescharacteristic
166C22×C4×C7C22×C411yescharacteristic
167C22×C4×C7C22×C411yescharacteristic
168C22×C4×C7C2×D412yes—
169C22×C4×C7#4112yes—
170C22×C4×C7C2411yescharacteristic
171C22×Dic7—22no—
172C22×Dic7—22no—
173C22×Dic7—22no—
174C22×Dic7—22no—
175C22×Dic7—41no—
176C22×Dic7—41no—
177C22×Dic7C22×C411yescharacteristic
178C22×Dic7C22×C411yescharacteristic
179C22×Dic7C22×C411yescharacteristic
180C22×Dic7C22×C411yescharacteristic
181C22×Dic7C22×C411yescharacteristic
182C22×Dic7C22×C411yescharacteristic
183C22×Dic7C22×C411yescharacteristic
184C22×Dic7C22×C411yescharacteristic
185C7×M16—28no—
186C7×M16—44no—
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×C8C2×D412yes—
196C2×C7×C8C2×D412yes—
197C2×C7×C8#4112yes—
198C2×C7×C8#4112yes—
199C7×C4⋊C4—22no—
200C7×C22⋊C4—22no—
201C7×C22⋊C4—22no—
202C42×C7—21no—
203C42×C7—21no—
204C22⋊Dic7—22no—
205C22⋊Dic7—22no—
206C22⋊Dic7—22no—
207C22⋊Dic7—22no—
208C22⋊Dic7—41no—
209C22⋊Dic7—41no—
210Dic7⋊C4—22no—
211Dic7⋊C4—22no—
212Dic7⋊C4—41no—
213Dic7⋊C4M1614yescomplemented
214C4×Dic7—22no—
215C4×Dic7—22no—
216C4×Dic7—21no—
217C4×Dic7—21no—
218C4×Dic7—21no—
219C4×Dic7—21no—
220C4×Dic7—21no—
221C4×Dic7—21no—
222C4×Dic7—21no—
223C4×Dic7—21no—
224#1136—28no—
225C2×C7⋊C8—21no—
226C2×C7⋊C8—21no—
227C2×C7⋊C8—21no—
228C2×C7⋊C8—21no—
229C2×C7⋊C8—21no—
230C2×C7⋊C8—21no—
231C2×C7⋊C8—21no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8—21no—
234C2×C7⋊C8—21no—
235C2×C7⋊C8#4112yes—
236C2×C7⋊C8#4112yes—
237C22×M16—71no—
238C22×M16C2×D711yescharacteristic
239C22×M16C2×D711yescharacteristic
240C2×#123—71no—
241C2×C4×D4C2×D711yescharacteristic
242C22×C42—71no—
243#436—24no—
244C2×C4⋊C8—71no—
245C2×C4⋊C8—71no—
246C2×C4⋊C8C2×D711yescharacteristic
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×C8C2×D711yescharacteristic
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#336—71no—
279#336—71no—
280#336—71no—
281#336—71no—
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×C7—21no—
293C23×C7—21no—
294C23×C7—21no—
295C23×C7C4×D412yes—
296C23×C7C23×C411yescharacteristic
297C7×D4—44no—
298C2×C4×C7—21no—
299C2×C4×C7—21no—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—41no—
313C2×C4×C7—41no—
314C2×C4×C7—41no—
315C2×C4×C7—41no—
316C2×C4×C7C4×D412yes—
317C2×C4×C7C2×M1612yes—
318C2×C4×C7C22×D411yescharacteristic
319C2×C4×C7C2×#4111yescharacteristic
320C2×C4×C7C2×#4111yescharacteristic
321C2×C4×C7C2×#4111yescharacteristic
322C2×C4×C7C2×#4111yescharacteristic
323C2×C4×C7C2×#4111yescharacteristic
324C2×Dic7—21no—
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×Dic7—21no—
345C2×Dic7—44no—
346C2×Dic7—44no—
347C2×Dic7C2×M1612yes—
348C2×Dic7C2×M1612yes—
349C2×Dic7#13112yes—
350C7×C8—22no—
351C7×C8—41no—
352C7×C8—41no—
353C7×C8#12314yescomplemented
354C7⋊C8—22no—
355C7⋊C8—22no—
356C7⋊C8—41no—
357C7⋊C8—41no—
358C22×D4C4×D711yescharacteristic
359C23×C4—71no—
360C23×C4—71no—
361C23×C4C22×D711yescharacteristic
362C23×C4C22×D711yescharacteristic
363C2×M16—22no—
364C2×M16—22no—
365C2×M16—22no—
366C2×M16—22no—
367C2×M16—22no—
368C2×M16—142no—
369C2×M16—142no—
370C2×M16—142no—
371C2×M16C22⋊D714yes—
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—22no—
382C4×D4—22no—
383C2×C4⋊C4—71no—
384C2×C4⋊C4—71no—
385C2×C4⋊C4—71no—
386C2×C4⋊C4—71no—
387C2×C4⋊C4C4×D711yescharacteristic
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⋊C4C4×D711yescharacteristic
395C2×C22⋊C4C4×D711yescharacteristic
396C2×C42—71no—
397C2×C42—71no—
398C2×C42—71no—
399C2×C42—71no—
400C2×C42—71no—
401C2×C42—71no—
402C2×C42—142no—
403C2×C42—142no—
404C2×C42C22×D711yescharacteristic
405C4⋊C8—22no—
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—22no—
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×C7—41no—
438C22×C7—41no—
439C22×C7—41no—
440C22×C7—41no—
441C22×C7—41no—
442C22×C7—41no—
443C22×C7—41no—
444C22×C7C2×C4×D411yescharacteristic
445C22×C7C4×#4111yescharacteristic
446C22×C7C4×#4111yescharacteristic
447C22×C7C22×M1611yescharacteristic
448C22×C7C2×#13111yescharacteristic
449C22×C7#56811yescharacteristic
450C22×C7#56811yescharacteristic
451C4×C7—22no—
452C4×C7—22no—
453C4×C7—41no—
454C4×C7—41no—
455C4×C7C2×#12311yescharacteristic
456C4×C7#52511yescharacteristic
457C4×C7#52911yescharacteristic
458C4×C7#52911yescharacteristic
459Dic7—22no—
460Dic7—22no—
461Dic7—22no—
462Dic7—41no—
463Dic7—41no—
464Dic7—41no—
465Dic7—41no—
466Dic7—41no—
467C24C2×C4×D711yescharacteristic
468C24C2×C4×D711yescharacteristic
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—41no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—71no—
483C22×C4—71no—
484C22×C4—71no—
485C22×C4—71no—
486C22×C4—71no—
487C22×C4—71no—
488C22×C4—71no—
489C22×C4—71no—
490C22×C4—142no—
491C22×C4—142no—
492C22×C4—142no—
493C22×C4—142no—
494C22×C4—281no—
495C22×C4—281no—
496C22×C4C2×C4×D711yescharacteristic
497C22×C4C2×C4×D711yescharacteristic
498C22×C4C2×C4×D711yescharacteristic
499C22×C4C2×C4×D711yescharacteristic
500C22×C4#115712yes—
501C22×C4C2×C22⋊D712yes—
502C22×C4C23×D711yescharacteristic
503M16—28no—
504M16—44no—
505M16—148no—
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—72no—
515C2×C8—72no—
516C2×C8—141no—
517C2×C8—141no—
518C2×C8—141no—
519C2×C8—141no—
520C2×C8—141no—
521C2×C8—141no—
522C2×C8—141no—
523C2×C8—141no—
524C2×C8—141no—
525C2×C8—141no—
526C2×C8#115912yes—
527C2×C8#115912yes—
528C2×C8C2×C22⋊D712yes—
529C2×C8C2×C22⋊D712yes—
530C4⋊C4—22no—
531C4⋊C4—74no—
532C4⋊C4—142no—
533C4⋊C4—142no—
534C4⋊C4—281no—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—142no—
538C22⋊C4—142no—
539C22⋊C4—142no—
540C22⋊C4—142no—
541C22⋊C4—281no—
542C22⋊C4—281no—
543C42—21no—
544C42—21no—
545C42—142no—
546C42—142no—
547C42—141no—
548C42—141no—
549C42—141no—
550C42—141no—
551C42—141no—
552C42—141no—
553C42—141no—
554C42—141no—
555C2×C7—42no—
556C2×C7—81no—
557C2×C7C4×#12311yescharacteristic
558C2×C7#293311yescharacteristic
559C2×C7D4×M1611yescharacteristic
560C2×C7#296511yescharacteristic
561C2×C7#296711yescharacteristic
562C2×C7#296911yescharacteristic
563C2×C7#297111yescharacteristic
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23C4×C22⋊D712yes—
578C23C22×C4×D711yescharacteristic
579D4—44no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—72no—
599C2×C4—72no—
600C2×C4—72no—
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—141no—
620C2×C4—141no—
621C2×C4—141no—
622C2×C4—284no—
623C2×C4—284no—
624C2×C4D7×M1612yes—
625C2×C4C4×C22⋊D712yes—
626C2×C4C2×#115711yescharacteristic
627C2×C4C2×#115911yescharacteristic
628C2×C4C2×#115911yescharacteristic
629C2×C4D7×#4111yescharacteristic
630C2×C4D7×#4111yescharacteristic
631C2×C4C22×C22⋊D711yescharacteristic
632C8—22no—
633C8—41no—
634C8—41no—
635C8—142no—
636C8—142no—
637C8—281no—
638C8—281no—
639C8#649814yescomplemented
640C7#2156511yescharacteristic, complemented, Sylow
641C22—22no—
642C22—22no—
643C22—22no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22C4×#115911yescharacteristic
656C22C4×#115911yescharacteristic
657C22C2×D7×M1611yescharacteristic
658C22#9043611yescharacteristic
659C22D7×#13111yescharacteristic
660C22#9044111yescharacteristic
661C22C2×C4×C22⋊D711yescharacteristic
662C4—22no—
663C4—22no—
664C4—41no—
665C4—41no—
666C4—142no—
667C4—142no—
668C4—142no—
669C4—281no—
670C4—281no—
671C4—281no—
672C4—281no—
673C4—281no—
674C4#9022911yescharacteristic
675C4#9022911yescharacteristic
676C4C2×#649811yescharacteristic
677C4#9051911yescharacteristic
678C2—42no—
679C2—81no—
680C2#1173696211yescharacteristic
681C2#1173696411yescharacteristic
682C2#1173696511yescharacteristic
683C2#1173696711yescharacteristic
684C2C4×#649811yescharacteristic
685C2M16×C22⋊D711yescharacteristic
686C2#1174124111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D7
commutator, socleC23×C7C23×C4
FittingC2×C7×#436C2
prime radicalC22×C7×D4C2×C4
cosocleC22×C4×C7C24
hypercenterC2×#436D7
hypocenterC7#21565
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C2×#436

Complements

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

NH ≅ G/Ntype
2. C2×M16×Dic7C2semidirect
4. #11729737C2semidirect
5. #11729737C2semidirect
6. #11729737C2semidirect
8. #11728202C2semidirect
9. #11728201C2semidirect
10. #11727705C2semidirect
11. #11727668C2semidirect
12. #11727666C2semidirect
13. #11727664C2semidirect
14. #11727537C2semidirect
15. C8×Dic7⋊C4C2semidirect
213. Dic7⋊C4M16semidirect
353. C7×C8#123semidirect
639. C8#6498semidirect
640. C7#21565semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4362
C2×M16×Dic72
C4×#64982
#117297372
#117293652
#117282022
#117282012
#117277052
#117276682
#117276662
#117276642
#117275372
C8×Dic7⋊C42
#215657