Finite Group Databasebeta

← #13372133

Subgroups — #13372133

Order 1792.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C7×D8C211yesmaximal, characteristic
2C2×#89924C211yesmaximal, characteristic
3C2×#89924C211yesmaximal, characteristic
4#11739779C211yesmaximal, characteristic, complemented
5D4×Dic7⋊C4C211yesmaximal, characteristic, complemented
6#11729361C211yesmaximal, characteristic, complemented
7#11729360C211yesmaximal, characteristic, complemented
8#11728368C211yesmaximal, characteristic, complemented
9#11728362C211yesmaximal, characteristic, complemented
10#11727923C211yesmaximal, characteristic, complemented
11#11727921C211yesmaximal, characteristic, complemented
12#11727908C211yesmaximal, characteristic, complemented
13#11727907C211yesmaximal, characteristic, complemented
14#11727537C211yesmaximal, characteristic, complemented
15#11727523C211yesmaximal, characteristic, complemented
16C22×C7×D8C2211yescharacteristic
17C2×C4×C7×D4C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C2×D4×Dic7C2211yescharacteristic
20C2×D4×Dic7C2211yescharacteristic
21C2×D4×Dic7C2211yescharacteristic
22C2×D4×Dic7C2211yescharacteristic
23C22×Dic7⋊C4—21no—
24C4×C7×D8—24no—
25C2×C7×#107C2211yescharacteristic
26C2×C7×#102C2211yescharacteristic
27C2×C7×#102C2211yescharacteristic
28C2×C4×C7×C8C2211yescharacteristic
29C2×#6406C2211yescharacteristic
30C2×#6406C2211yescharacteristic
31C2×#6406C2211yescharacteristic
32C2×#6406C2211yescharacteristic
33#89982—21no—
34#89982—21no—
35C2×C7⋊#95—21no—
36#89924—24no—
37#89924C418yescomplemented
38C2×#6391C2211yescharacteristic
39C2×#6391C2211yescharacteristic
40C2×#6389C2211yescharacteristic
41C2×#6389C2211yescharacteristic
42C2×Dic7⋊C8C2211yescharacteristic
43#89749C2211yescharacteristic
44#89748C2211yescharacteristic
45#89745C2211yescharacteristic
46#89745C2211yescharacteristic
47C2×#6382C2211yescharacteristic
48C2×#6381C2211yescharacteristic
49#89718—21no—
50#89718—21no—
51#89714—21no—
52#89714—21no—
53C4×Dic7⋊C4C2211yescharacteristic
54#89700C2211yescharacteristic
55#89700C2211yescharacteristic
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89345C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89319C2211yescharacteristic
62#22676—71nomaximal, Sylow
63C22×C7×D4C2311yescharacteristic
64C22×C7×D4C2311yescharacteristic
65C23×C4×C7—21no—
66C23×C4×C7—21no—
67C23×Dic7—21no—
68C23×Dic7—21no—
69C23×Dic7—21no—
70C23×Dic7—21no—
71C2×C7×D8C2×C414yes—
72C2×C7×D8D414yes—
73C2×C7×D8Q814yes—
74C22×C7×C8C2311yescharacteristic
75C22×C7×C8C2311yescharacteristic
76C4×C7×D4—22no—
77C4×C7×D4—22no—
78C4×C7×D4—41no—
79C4×C7×D4—41no—
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C42×C7C2311yescharacteristic
85C2×C22⋊Dic7—21no—
86C2×C22⋊Dic7—21no—
87C2×C22⋊Dic7—21no—
88C2×C22⋊Dic7—21no—
89D4×Dic7—22no—
90D4×Dic7—22no—
91D4×Dic7—22no—
92D4×Dic7—22no—
93D4×Dic7—41no—
94D4×Dic7—41no—
95D4×Dic7C2×C414yescomplemented
96D4×Dic7C2×C414yescomplemented
97C2×C4⋊Dic7C2311yescharacteristic
98C2×C4⋊Dic7C2311yescharacteristic
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4⋊Dic7C2311yescharacteristic
101C2×Dic7⋊C4—21no—
102C2×Dic7⋊C4—21no—
103C2×Dic7⋊C4—21no—
104C2×Dic7⋊C4—21no—
105C2×Dic7⋊C4—21no—
106C2×Dic7⋊C4—21no—
107C2×Dic7⋊C4—44no—
108C2×Dic7⋊C4D411yescharacteristic
109C2×Dic7⋊C4D411yescharacteristic
110C2×C4×Dic7C2311yescharacteristic
111C2×C4×Dic7C2311yescharacteristic
112C22×C7⋊C8C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C7×#107—22no—
115C7×#102—22no—
116C7×#102—22no—
117C4×C7×C8—22no—
118#6406—22no—
119#6406—22no—
120#6406C2×C414yescomplemented
121#6406C2×C414yescomplemented
122C7⋊#95—21no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95—21no—
128C7⋊#95D411yescharacteristic
129C7⋊#95D411yescharacteristic
130#6391—22no—
131#6391C2×C414yescomplemented
132#6389—22no—
133#6389C2×C414yescomplemented
134Dic7⋊C8—22no—
135#6382—41no—
136#6381—41no—
137C2×#442—71no—
138C2×#442—71no—
139C2×C4×D8D711yescharacteristic
140#2349—71no—
141D4×C4⋊C4—71no—
142#1944—71no—
143#1941—71no—
144#1864—71no—
145#1864—71no—
146#1862—71no—
147#1862—71no—
148#1847—71no—
149#1804—71no—
150#1802—71no—
151#1771—71no—
152C24×C7—21no—
153C24×C7—21no—
154C2×C7×D4—21no—
155C2×C7×D4—21no—
156C2×C7×D4—21no—
157C2×C7×D4—21no—
158C2×C7×D4—21no—
159C2×C7×D4—21no—
160C2×C7×D4C22×C412yes—
161C2×C7×D4C22×C412yes—
162C2×C7×D4C2×D412yes—
163C2×C7×D4C2×D412yes—
164C2×C7×D4C2×Q812yes—
165C2×C7×D4C2×Q812yes—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—42no—
169C22×C4×C7—42no—
170C22×C4×C7—42no—
171C22×C4×C7—42no—
172C22×C4×C7—81no—
173C22×C4×C7—81no—
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2411yescharacteristic
177C22×Dic7—21no—
178C22×Dic7—21no—
179C22×Dic7—24no—
180C22×Dic7—24no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—42no—
184C22×Dic7—42no—
185C22×Dic7—42no—
186C22×Dic7—42no—
187C22×Dic7—42no—
188C22×Dic7—42no—
189C22×Dic7—81no—
190C22×Dic7—81no—
191C22×Dic7—81no—
192C22×Dic7—81no—
193C22×Dic7C2×D411yescharacteristic
194C22×Dic7C2×D411yescharacteristic
195C22×Dic7C2×D411yescharacteristic
196C22×Dic7C2×D411yescharacteristic
197C7×D8C4⋊C4116yescomplemented
198C2×C7×C8—21no—
199C2×C7×C8—21no—
200C2×C7×C8—21no—
201C2×C7×C8C22×C412yes—
202C2×C7×C8C2×D412yes—
203C2×C7×C8C2×Q812yes—
204C7×C4⋊C4—21no—
205C7×C4⋊C4—21no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—21no—
208C7×C22⋊C4—42no—
209C7×C22⋊C4—42no—
210C42×C7—21no—
211C42×C7—21no—
212C22⋊Dic7—24no—
213C22⋊Dic7—24no—
214C22⋊Dic7—42no—
215C22⋊Dic7—42no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7—21no—
220C4⋊Dic7—21no—
221C4⋊Dic7—21no—
222C4⋊Dic7C22×C412yes—
223C4⋊Dic7C22×C412yes—
224Dic7⋊C4—22no—
225Dic7⋊C4—41no—
226Dic7⋊C4—42no—
227Dic7⋊C4—42no—
228Dic7⋊C4—42no—
229Dic7⋊C4—81no—
230Dic7⋊C4—81no—
231Dic7⋊C4—81no—
232C4×Dic7—21no—
233C4×Dic7—21no—
234C4×Dic7C22×C412yes—
235C4×Dic7#4112yes—
236C2×C7⋊C8—21no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8C22×C412yes—
242C22×D8C2×D711yescharacteristic
243C2×C4×D4—71no—
244C2×C4×D4—71no—
245C2×C4×D4—71no—
246C2×C4×D4—71no—
247C2×C4×D4C2×D711yescharacteristic
248C2×C4×D4C2×D711yescharacteristic
249C22×C4⋊C4—141no—
250#442—78no—
251#442—144no—
252C4×D8—24no—
253C2×#107—71no—
254C2×#107C2×D711yescharacteristic
255C2×#106—71no—
256C2×#106—71no—
257C2×#106—71no—
258C2×C4⋊C8—71no—
259C2×#102—71no—
260C2×#102—71no—
261C2×#102—71no—
262C2×#102—71no—
263C2×#102C2×D711yescharacteristic
264C2×#102C2×D711yescharacteristic
265C2×#97—71no—
266C2×#97—71no—
267C2×C4×C8C2×D711yescharacteristic
268#389—71no—
269#389—71no—
270#389—71no—
271#389—71no—
272#385—141no—
273#385—141no—
274#385—141no—
275#385—141no—
276#384—71no—
277#382—71no—
278#380—141no—
279#380—141no—
280C4×C4⋊C4—71no—
281C2×#95—141no—
282#340—71no—
283#340—71no—
284#340—71no—
285#340—71no—
286#336—71no—
287#336—71no—
288C23×C7—22no—
289C23×C7—22no—
290C23×C7—22no—
291C23×C7—22no—
292C23×C7—22no—
293C23×C7—22no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7—41no—
297C23×C7—41no—
298C23×C7—41no—
299C23×C7—41no—
300C23×C7—41no—
301C23×C7—41no—
302C23×C7C22×D411yescharacteristic
303C7×D4—22no—
304C7×D4—22no—
305C7×D4—22no—
306C7×D4—22no—
307C7×D4—22no—
308C7×D4—22no—
309C7×D4C2×C4⋊C414yes—
310C7×D4C2×C4⋊C414yescomplemented
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
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—84no—
323C2×C4×C7—84no—
324C2×C4×C7AGL(1,ℤ/8)12yes—
325C2×C4×C7C23×C411yescharacteristic
326C2×C4×C7C22×D411yescharacteristic
327C2×C4×C7C22×Q811yescharacteristic
328C2×C4×C7C2×#4111yescharacteristic
329C2×C4×C7H(5,𝔽2)11yescharacteristic
330C2×C4×C72−1+411yescharacteristic
331C2×Dic7—21no—
332C2×Dic7—21no—
333C2×Dic7—21no—
334C2×Dic7—21no—
335C2×Dic7—22no—
336C2×Dic7—22no—
337C2×Dic7—21no—
338C2×Dic7—21no—
339C2×Dic7—21no—
340C2×Dic7—21no—
341C2×Dic7—21no—
342C2×Dic7—21no—
343C2×Dic7—48no—
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—84no—
355C2×Dic7—84no—
356C2×Dic7—84no—
357C2×Dic7C4×D412yes—
358C2×Dic7C4×D412yes—
359C7×C8—41no—
360C7×C8C2×C4⋊C414yescomplemented
361C7⋊C8—22no—
362C7⋊C8—41no—
363C22×D4C22×D711yescharacteristic
364C22×D4C22×D711yescharacteristic
365C23×C4—21no—
366C23×C4—21no—
367C23×C4—141no—
368C23×C4—141no—
369C23×C4—141no—
370C23×C4—141no—
371C2×D8Dic1414yes—
372C2×D8C4×D714yes—
373C2×D8C22⋊D714yes—
374C22×C8—71no—
375C22×C8—71no—
376C22×C8C22×D711yescharacteristic
377C22×C8C22×D711yescharacteristic
378C4×D4—22no—
379C4×D4—22no—
380C4×D4—41no—
381C4×D4—41no—
382C4×D4—74no—
383C4×D4—74no—
384C4×D4—142no—
385C4×D4—142no—
386C4×D4—142no—
387C4×D4—142no—
388C4×D4—281no—
389C4×D4—281no—
390C2×C4⋊C4—71no—
391C2×C4⋊C4—71no—
392C2×C4⋊C4—71no—
393C2×C4⋊C4—71no—
394C2×C4⋊C4—71no—
395C2×C4⋊C4—71no—
396C2×C4⋊C4—141no—
397C2×C4⋊C4—141no—
398C2×C4⋊C4—141no—
399C2×C4⋊C4—141no—
400C2×C4⋊C4—141no—
401C2×C4⋊C4—141no—
402C2×C4⋊C4—284no—
403C2×C4⋊C4C22×D711yescharacteristic
404C2×C4⋊C4C22×D711yescharacteristic
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—141no—
408C2×C22⋊C4—141no—
409C2×C22⋊C4—141no—
410C2×C22⋊C4—141no—
411C2×C42—71no—
412C2×C42—71no—
413C2×C42C22×D711yescharacteristic
414#107—22no—
415#107—281no—
416#106—74no—
417#106—142no—
418#106—281no—
419C4⋊C8—142no—
420#102—22no—
421#102—22no—
422#102—74no—
423#102—74no—
424#102—142no—
425#102—142no—
426#97—74no—
427#97—142no—
428C4×C8—22no—
429#95—71no—
430#95—71no—
431#95—141no—
432#95—141no—
433#95—141no—
434#95—141no—
435#95—141no—
436#95—141no—
437C22×C7—24no—
438C22×C7—24no—
439C22×C7—42no—
440C22×C7—42no—
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—42no—
448C22×C7—42no—
449C22×C7—42no—
450C22×C7—42no—
451C22×C7C2×C4×D411yescharacteristic
452C22×C7D4211yescharacteristic
453C22×C7D4×Q811yescharacteristic
454C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
455C22×C7#57511yescharacteristic
456C22×C7#57611yescharacteristic
457C22×C7#57711yescharacteristic
458C4×C7—22no—
459C4×C7—41no—
460C4×C7—81no—
461C4×C7—81no—
462C4×C7C22×C4⋊C411yescharacteristic
463C4×C7#52011yescharacteristic
464C4×C7#54711yescharacteristic
465C4×C7#55411yescharacteristic
466Dic7—22no—
467Dic7—22no—
468Dic7—42no—
469Dic7—42no—
470Dic7—41no—
471Dic7—41no—
472Dic7—81no—
473Dic7—81no—
474C24—21no—
475C24—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4C2×Dic1412yes—
483C2×D4C2×Dic1412yes—
484C2×D4C2×C4×D712yes—
485C2×D4C2×C4×D712yes—
486C2×D4C2×C22⋊D712yes—
487C2×D4C2×C22⋊D712yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—71no—
495C22×C4—71no—
496C22×C4—71no—
497C22×C4—71no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—144no—
501C22×C4—144no—
502C22×C4—141no—
503C22×C4—141no—
504C22×C4—141no—
505C22×C4—141no—
506C22×C4—282no—
507C22×C4—282no—
508C22×C4—282no—
509C22×C4—282no—
510C22×C4—282no—
511C22×C4—282no—
512C22×C4—561no—
513C22×C4—561no—
514C22×C4—561no—
515C22×C4—561no—
516C22×C4D4×D711yescharacteristic
517C22×C4D4×D711yescharacteristic
518C22×C4C23×D711yescharacteristic
519D8Dic7⋊C4116yescomplemented
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—72no—
524C2×C8—141no—
525C2×C8—141no—
526C2×C8—141no—
527C2×C8—141no—
528C2×C8—141no—
529C2×C8C2×Dic1412yes—
530C2×C8C2×C4×D712yes—
531C2×C8C2×C22⋊D712yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—72no—
537C4⋊C4—72no—
538C4⋊C4—142no—
539C4⋊C4—141no—
540C4⋊C4—141no—
541C4⋊C4—141no—
542C4⋊C4—141no—
543C4⋊C4—141no—
544C4⋊C4—141no—
545C4⋊C4—281no—
546C4⋊C4—282no—
547C4⋊C4—282no—
548C4⋊C4—282no—
549C4⋊C4—561no—
550C4⋊C4—561no—
551C4⋊C4—561no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—144no—
555C22⋊C4—144no—
556C22⋊C4—282no—
557C22⋊C4—282no—
558C42—21no—
559C42—21no—
560C42—72no—
561C42—72no—
562C42—141no—
563C42—141no—
564C2×C7—44no—
565C2×C7—44no—
566C2×C7D4×C4⋊C411yescharacteristic
567C2×C7C4×AGL(1,ℤ/8)11yescharacteristic
568C2×C7#294611yescharacteristic
569C2×C7#326411yescharacteristic
570C2×C7#326711yescharacteristic
571C2×C7#338411yescharacteristic
572C2×C7#338911yescharacteristic
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23C2×D4×D711yescharacteristic
588D4—22no—
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—22no—
594D4C2×Dic7⋊C414yes—
595D4C2×Dic7⋊C414yescomplemented
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—72no—
608C2×C4—72no—
609C2×C4—84no—
610C2×C4—84no—
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—142no—
620C2×C4—142no—
621C2×C4—141no—
622C2×C4—141no—
623C2×C4—288no—
624C2×C4—281no—
625C2×C4—281no—
626C2×C4—281no—
627C2×C4—281no—
628C2×C4—281no—
629C2×C4—281no—
630C2×C4—281no—
631C2×C4—281no—
632C2×C4—281no—
633C2×C4—281no—
634C2×C4—564no—
635C2×C4—564no—
636C2×C4—564no—
637C2×C4#647412yes—
638C2×C4C22×Dic1411yescharacteristic
639C2×C4C22×C4×D711yescharacteristic
640C2×C4#654811yescharacteristic
641C2×C4D7×#4111yescharacteristic
642C2×C4#655411yescharacteristic
643C2×C4C22×C22⋊D711yescharacteristic
644C8—41no—
645C8—142no—
646C8—281no—
647C8C2×Dic7⋊C414yescomplemented
648C7#2267611yescharacteristic, complemented, Sylow
649C22—24no—
650C22—24no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22D4×Dic1411yescharacteristic
664C22C4×D4×D711yescharacteristic
665C22C2×#647411yescharacteristic
666C22#9044811yescharacteristic
667C22#9045911yescharacteristic
668C22#9046111yescharacteristic
669C22D4×C22⋊D711yescharacteristic
670C4—22no—
671C4—41no—
672C4—81no—
673C4—81no—
674C4—142no—
675C4—142no—
676C4—281no—
677C4—281no—
678C4—282no—
679C4—282no—
680C4—561no—
681C4—561no—
682C4#9023011yescharacteristic
683C4#9023711yescharacteristic
684C4C22×Dic7⋊C411yescharacteristic
685C4#9051511yescharacteristic
686C2—44no—
687C2—44no—
688C2#1173702111yescharacteristic
689C2#1173702211yescharacteristic
690C2C4×#647411yescharacteristic
691C2#1173703211yescharacteristic
692C2D4×Dic7⋊C411yescharacteristic
693C2#1174128211yescharacteristic
694C2#1174136611yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C4×C7×D8C2
socleC23×C7C22×D4
prime radicalC22×C7×D8C22
cosocleC22×C4×C7C24
hypercenterC2×C4×D8D7
hypocenterC7#22676
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
4. #11739779C2semidirect
5. D4×Dic7⋊C4C2semidirect
6. #11729361C2semidirect
7. #11729360C2semidirect
8. #11728368C2semidirect
9. #11728362C2semidirect
10. #11727923C2semidirect
11. #11727921C2semidirect
12. #11727908C2semidirect
13. #11727907C2semidirect
14. #11727537C2semidirect
15. #11727523C2semidirect
37. #89924C4semidirect
95. D4×Dic7C2×C4semidirect
96. D4×Dic7C2×C4semidirect
120. #6406C2×C4semidirect
121. #6406C2×C4semidirect
131. #6391C2×C4semidirect
133. #6389C2×C4semidirect
197. C7×D8C4⋊C4semidirect
310. C7×D4C2×C4⋊C4semidirect
360. C7×C8C2×C4⋊C4semidirect
519. D8Dic7⋊C4semidirect
595. D4C2×Dic7⋊C4semidirect
647. C8C2×Dic7⋊C4semidirect
648. C7#22676semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C7×D82
C2×#899242
#117397792
D4×Dic7⋊C42
#117293612
#117293602
#117283682
#117283622
#117279232
#117279212
#117279082
#117279072
#117275372
#117275232
#226767