Finite Group Databasebeta

← #13372132

Subgroups — #13372132

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
1C7×#2349C211yesmaximal, characteristic, complemented
2C2×#89786C211yesmaximal, characteristic
3C2×#89786C211yesmaximal, characteristic
4C2×C4×#1141C211yesmaximal, characteristic
5C4⋊C4×D28C211yesmaximal, characteristic, complemented
6#11729361C211yesmaximal, characteristic, complemented
7#11729360C211yesmaximal, characteristic, complemented
8#11729358C211yesmaximal, characteristic, complemented
9#11727380C211yesmaximal, characteristic, complemented
10#11727379C211yesmaximal, characteristic, complemented
11#11727375C211yesmaximal, characteristic, complemented
12#11727372C211yesmaximal, characteristic, complemented
13#11727310C211yesmaximal, characteristic, complemented
14#11727304C211yesmaximal, characteristic, complemented
15#11727232C211yesmaximal, characteristic, complemented
16C2×C4×C7×D4C2211yescharacteristic
17C2×C4×C7×D4C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C22×#1141C2211yescharacteristic
20C2×D7×C4⋊C4—21no—
21C2×C4×D28C2211yescharacteristic
22C2×C4×D28C2211yescharacteristic
23C2×C4×D28C2211yescharacteristic
24C7×#389C2211yescharacteristic
25C7×#389C2211yescharacteristic
26C7×#385—21no—
27C7×#385—21no—
28C7×#382C2211yescharacteristic
29C7×#380—21no—
30C4×C7×C4⋊C4C2211yescharacteristic
31C2×C7×#95—21no—
32C2×#6406C2211yescharacteristic
33C2×#6406C2211yescharacteristic
34C2×#6406C2211yescharacteristic
35#89786—24no—
36#89786C418yescomplemented
37C4×#1141—24no—
38#89759—21no—
39C2×#6383C2211yescharacteristic
40C2×#6383C2211yescharacteristic
41C2×#6383C2211yescharacteristic
42C2×#6382C2211yescharacteristic
43C2×#6382C2211yescharacteristic
44C2×#6382C2211yescharacteristic
45C2×#6381C2211yescharacteristic
46C2×#6381C2211yescharacteristic
47#89707C2211yescharacteristic
48#89700C2211yescharacteristic
49#89700C2211yescharacteristic
50C2×C4⋊(C7⋊C8)C2211yescharacteristic
51C2×#6377C2211yescharacteristic
52C2×#6377C2211yescharacteristic
53C2×C4×C7⋊C8C2211yescharacteristic
54#89440—21no—
55#89440—21no—
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89319C2211yescharacteristic
61#89319C2211yescharacteristic
62#22676—71nomaximal, Sylow
63C22×C7×D4C2311yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7—21no—
66C23×C4×C7—21no—
67C22×D28C2311yescharacteristic
68C22×C4×D7—21no—
69C22×C4×D7—21no—
70C22×C4×D7—21no—
71C4×C7×D4—22no—
72C4×C7×D4—22no—
73C4×C7×D4—22no—
74C4×C7×D4—41no—
75C4×C7×D4—41no—
76C4×C7×D4C2×C414yescomplemented
77C2×C7×C4⋊C4—21no—
78C2×C7×C4⋊C4—21no—
79C2×C7×C4⋊C4D411yescharacteristic
80C2×C7×C4⋊C4D411yescharacteristic
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C7×C4⋊C4C2311yescharacteristic
83C2×C7×C4⋊C4C2311yescharacteristic
84C2×C7×C22⋊C4—21no—
85C2×C7×C22⋊C4—21no—
86C2×C7×C22⋊C4—21no—
87C2×C42×C7C2311yescharacteristic
88C2×C42×C7C2311yescharacteristic
89C2×C42×C7C2311yescharacteristic
90C2×#1141C2×C414yes—
91C2×#1141D414yes—
92C2×#1141Q814yes—
93C2×(C2×D7)⋊C4—21no—
94C2×(C2×D7)⋊C4—21no—
95C2×(C2×D7)⋊C4—21no—
96C2×C4⋊Dic7—21no—
97C2×C4⋊Dic7—21no—
98C2×C4⋊Dic7C2311yescharacteristic
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4⋊Dic7C2311yescharacteristic
101C2×Dic7⋊C4—21no—
102C2×Dic7⋊C4—21no—
103C22×C7⋊C8C2311yescharacteristic
104C22×C7⋊C8C2311yescharacteristic
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107D7×C4⋊C4—44no—
108C4×D28—22no—
109C4×D28—22no—
110C4×D28—22no—
111C4×D28—41no—
112C4×D28—41no—
113C4×D28C2×C414yescomplemented
114C7×#95—21no—
115C7×#95—21no—
116C7×#95—21no—
117C7×#95—21no—
118C7×#95D411yescharacteristic
119C7×#95D411yescharacteristic
120#6406—22no—
121#6406—22no—
122#6406C2×C414yescomplemented
123C7⋊#95—21no—
124C7⋊#95—21no—
125#6383—22no—
126#6383—22no—
127#6383C2×C414yescomplemented
128#6382—22no—
129#6382—41no—
130#6382C2×C414yescomplemented
131#6381—22no—
132#6381—41no—
133C4⋊(C7⋊C8)—22no—
134#6377—22no—
135#6377C2×C414yescomplemented
136C4×C7⋊C8—22no—
137C2×#442—71no—
138C2×#442—71no—
139C2×C4×D8—71no—
140#2349D711yescharacteristic, complemented
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—
153C23×D7—21no—
154C2×C7×D4—21no—
155C2×C7×D4—21no—
156C2×C7×D4—21no—
157C2×C7×D4C22×C412yes—
158C2×C7×D4C2×D412yes—
159C2×C7×D4C2×Q812yes—
160C22×C4×C7—21no—
161C22×C4×C7—24no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—42no—
165C22×C4×C7—42no—
166C22×C4×C7—42no—
167C22×C4×C7—42no—
168C22×C4×C7—81no—
169C22×C4×C7—81no—
170C22×C4×C7—81no—
171C22×C4×C7—81no—
172C22×C4×C7C2×D411yescharacteristic
173C22×C4×C7C2×D411yescharacteristic
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2411yescharacteristic
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C2×D28—21no—
183C2×D28—21no—
184C2×D28—21no—
185C2×D28C22×C412yes—
186C2×D28C2×D412yes—
187C2×D28C2×Q812yes—
188C2×C4×D7—24no—
189C2×C4×D7—42no—
190C2×C4×D7—42no—
191C2×C4×D7—42no—
192C2×C4×D7—42no—
193C2×C4×D7—42no—
194C2×C4×D7—42no—
195C2×C4×D7—81no—
196C2×C4×D7—81no—
197C7×C4⋊C4—22no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—41no—
204C7×C4⋊C4—81no—
205C7×C4⋊C4—81no—
206C7×C4⋊C4C22×C412yes—
207C7×C22⋊C4—24no—
208C7×C22⋊C4—42no—
209C7×C22⋊C4—42no—
210C42×C7—21no—
211C42×C7—21no—
212C42×C7—21no—
213C42×C7—21no—
214C42×C7C22×C412yes—
215C42×C7#4112yes—
216#1141C4⋊C4116yescomplemented
217(C2×D7)⋊C4—24no—
218(C2×D7)⋊C4—42no—
219(C2×D7)⋊C4—42no—
220C4⋊Dic7—21no—
221C4⋊Dic7—21no—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—42no—
226C4⋊Dic7—81no—
227C4⋊Dic7C22×C412yes—
228Dic7⋊C4—42no—
229Dic7⋊C4—42no—
230C2×C7⋊C8—21no—
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⋊C8C22×C412yes—
239C2×C7⋊C8C22×C412yes—
240C2×C7⋊C8C2×D412yes—
241C2×C7⋊C8C2×Q812yes—
242C22×D8—71no—
243C2×C4×D4—71no—
244C2×C4×D4—71no—
245C2×C4×D4—71no—
246C2×C4×D4C2×D711yescharacteristic
247C2×C4×D4C2×D711yescharacteristic
248C2×C4×D4C2×D711yescharacteristic
249C22×C4⋊C4—141no—
250#442—78no—
251#442—144no—
252C4×D8—144no—
253C2×#107—71no—
254C2×#107—71no—
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×#102—71no—
264C2×#102—71no—
265C2×#97—71no—
266C2×#97—71no—
267C2×C4×C8—71no—
268#389—71no—
269#389—71no—
270#389C2×D711yescharacteristic
271#389C2×D711yescharacteristic
272#385—21no—
273#385—21no—
274#385—141no—
275#385—141no—
276#384—71no—
277#382C2×D711yescharacteristic
278#380—21no—
279#380—141no—
280C4×C4⋊C4C2×D711yescharacteristic
281C2×#95—21no—
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—41no—
292C23×C7—41no—
293C23×C7—41no—
294C23×C7—41no—
295C23×C7C22×D411yescharacteristic
296C22×D7—22no—
297C22×D7—22no—
298C22×D7—22no—
299C22×D7—41no—
300C22×D7—41no—
301C22×D7—41no—
302C22×D7—41no—
303C7×D4—22no—
304C7×D4—22no—
305C7×D4—22no—
306C7×D4C2×C4⋊C414yescomplemented
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—22no—
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—21no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—41no—
324C2×C4×C7—41no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—84no—
332C2×C4×C7—84no—
333C2×C4×C7—84no—
334C2×C4×C7C4×D412yes—
335C2×C4×C7C4×D412yes—
336C2×C4×C7AGL(1,ℤ/8)12yes—
337C2×C4×C7C23×C411yescharacteristic
338C2×C4×C7C22×D411yescharacteristic
339C2×C4×C7C22×Q811yescharacteristic
340C2×C4×C7C2×#4111yescharacteristic
341C2×C4×C7H(5,𝔽2)11yescharacteristic
342C2×C4×C72−1+411yescharacteristic
343C2×Dic7—22no—
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352D28—22no—
353D28—22no—
354D28—22no—
355D28C2×C4⋊C414yes—
356C4×D7—48no—
357C4×D7—84no—
358C4×D7—84no—
359C7⋊C8—22no—
360C7⋊C8—41no—
361C7⋊C8—41no—
362C7⋊C8C2×C4⋊C414yescomplemented
363C22×D4—71no—
364C22×D4C22×D711yescharacteristic
365C23×C4—21no—
366C23×C4—21no—
367C23×C4—21no—
368C23×C4—141no—
369C23×C4—141no—
370C23×C4—141no—
371C2×D8—74no—
372C2×D8—74no—
373C2×D8—74no—
374C22×C8—71no—
375C22×C8—71no—
376C22×C8—71no—
377C22×C8—71no—
378C4×D4—22no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—41no—
382C4×D4—41no—
383C4×D4—74no—
384C4×D4—142no—
385C4×D4—142no—
386C4×D4—142no—
387C4×D4—281no—
388C4×D4—281no—
389C4×D4C4×D714yescomplemented
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—71no—
393C2×C4⋊C4—71no—
394C2×C4⋊C4—71no—
395C2×C4⋊C4—141no—
396C2×C4⋊C4—141no—
397C2×C4⋊C4—141no—
398C2×C4⋊C4—141no—
399C2×C4⋊C4—284no—
400C2×C4⋊C4C22⋊D711yescharacteristic
401C2×C4⋊C4C22⋊D711yescharacteristic
402C2×C4⋊C4C22×D711yescharacteristic
403C2×C4⋊C4C22×D711yescharacteristic
404C2×C4⋊C4C22×D711yescharacteristic
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×C42C22×D711yescharacteristic
412C2×C42C22×D711yescharacteristic
413C2×C42C22×D711yescharacteristic
414#107—142no—
415#107—281no—
416#106—74no—
417#106—142no—
418#106—281no—
419C4⋊C8—142no—
420#102—74no—
421#102—74no—
422#102—142no—
423#102—142no—
424#102—142no—
425#102—142no—
426#97—74no—
427#97—142no—
428C4×C8—142no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95—21no—
433#95—141no—
434#95—141no—
435#95C22⋊D711yescharacteristic
436#95C22⋊D711yescharacteristic
437C22×C7—24no—
438C22×C7—42no—
439C22×C7—42no—
440C22×C7—42no—
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7C2×C4×D411yescharacteristic
445C22×C7D4211yescharacteristic
446C22×C7D4×Q811yescharacteristic
447C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
448C22×C7#57511yescharacteristic
449C22×C7#57611yescharacteristic
450C22×C7#57711yescharacteristic
451C2×D7—24no—
452C2×D7—42no—
453C2×D7—42no—
454C2×D7—42no—
455C2×D7—42no—
456C2×D7—42no—
457C2×D7—42no—
458C4×C7—22no—
459C4×C7—22no—
460C4×C7—22no—
461C4×C7—42no—
462C4×C7—41no—
463C4×C7—41no—
464C4×C7—41no—
465C4×C7—81no—
466C4×C7—81no—
467C4×C7C22×C4⋊C411yescharacteristic
468C4×C7#52011yescharacteristic
469C4×C7#54711yescharacteristic
470C4×C7#55411yescharacteristic
471Dic7—42no—
472Dic7—81no—
473Dic7—81no—
474C24—21no—
475C24—141no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—72no—
480C2×D4—72no—
481C2×D4—72no—
482C2×D4—141no—
483C2×D4—141no—
484C2×D4—141no—
485C2×D4C2×C4×D712yes—
486C2×D4D4×D712yes—
487C2×D4Q8×D712yes—
488C22×C4—21no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—81no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—141no—
501C22×C4—144no—
502C22×C4—141no—
503C22×C4—141no—
504C22×C4—282no—
505C22×C4—282no—
506C22×C4—282no—
507C22×C4—282no—
508C22×C4—282no—
509C22×C4—282no—
510C22×C4—561no—
511C22×C4—561no—
512C22×C4C2×C22⋊D711yescharacteristic
513C22×C4C2×C22⋊D711yescharacteristic
514C22×C4C2×C22⋊D711yescharacteristic
515C22×C4C2×C22⋊D711yescharacteristic
516C22×C4C2×C22⋊D711yescharacteristic
517C22×C4C2×C22⋊D711yescharacteristic
518C22×C4C23×D711yescharacteristic
519D8—716no—
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—
530C2×C8—141no—
531C2×C8—141no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4—72no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C4⋊C4—141no—
543C4⋊C4—141no—
544C4⋊C4—141no—
545C4⋊C4—141no—
546C4⋊C4—141no—
547C4⋊C4—282no—
548C4⋊C4—282no—
549C4⋊C4—282no—
550C4⋊C4—561no—
551C4⋊C4C2×C4×D712yes—
552C22⋊C4—24no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—144no—
556C22⋊C4—282no—
557C22⋊C4—282no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42C2×C4×D712yes—
563C42#115712yes—
564C2×C7—44no—
565C2×C7D4×C4⋊C411yescharacteristic
566C2×C7C4×AGL(1,ℤ/8)11yescharacteristic
567C2×C7#294611yescharacteristic
568C2×C7#326411yescharacteristic
569C2×C7#326711yescharacteristic
570C2×C7#338411yescharacteristic
571C2×C7#338911yescharacteristic
572D7—44no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—142no—
581C23—142no—
582C23—142no—
583C23—281no—
584C23—281no—
585C23—281no—
586C23—281no—
587C23C22×C22⋊D711yescharacteristic
588D4—22no—
589D4—22no—
590D4—22no—
591D4—74no—
592D4—142no—
593D4—142no—
594D4—142no—
595D4D7×C4⋊C414yescomplemented
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—21no—
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—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—142no—
624C2×C4—288no—
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—564no—
634C2×C4—564no—
635C2×C4C4×C22⋊D712yes—
636C2×C4C4×C22⋊D712yes—
637C2×C4#651212yes—
638C2×C4C22×C4×D711yescharacteristic
639C2×C4C2×#115711yescharacteristic
640C2×C4C2×D4×D711yescharacteristic
641C2×C4#654811yescharacteristic
642C2×C4C2×Q8×D711yescharacteristic
643C2×C4#655111yescharacteristic
644C8—74no—
645C8—142no—
646C8—281no—
647C8—281no—
648C7#2267611yescharacteristic, complemented, Sylow
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—144no—
657C22—282no—
658C22—282no—
659C22—282no—
660C22—282no—
661C22—282no—
662C22—282no—
663C22C2×C4×C22⋊D711yescharacteristic
664C22D4×C22⋊D711yescharacteristic
665C22Q8×C22⋊D711yescharacteristic
666C22C2×#651211yescharacteristic
667C22#9051311yescharacteristic
668C22#9052611yescharacteristic
669C22#9052711yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—42no—
677C4—81no—
678C4—81no—
679C4—282no—
680C4—561no—
681C4—561no—
682C4C2×D7×C4⋊C411yescharacteristic
683C4#9019511yescharacteristic
684C4#9019811yescharacteristic
685C4#9020211yescharacteristic
686C2—44no—
687C2—284no—
688C2C4⋊C4×C22⋊D711yescharacteristic
689C2C4×#651211yescharacteristic
690C2#1173998211yescharacteristic
691C2#1174094711yescharacteristic
692C2#1174094811yescharacteristic
693C2#1174107511yescharacteristic
694C2#1174107811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2349C2
socleC23×C7C22×D4
prime radicalC22×#1141C22
cosocleC22×C4×C7C24
hypercenter#2349D7
hypocenterC7#22676
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2349

Complements

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

NH ≅ G/Ntype
1. C7×#2349C2semidirect
5. C4⋊C4×D28C2semidirect
6. #11729361C2semidirect
7. #11729360C2semidirect
8. #11729358C2semidirect
9. #11727380C2semidirect
10. #11727379C2semidirect
11. #11727375C2semidirect
12. #11727372C2semidirect
13. #11727310C2semidirect
14. #11727304C2semidirect
15. #11727232C2semidirect
36. #89786C4semidirect
76. C4×C7×D4C2×C4semidirect
113. C4×D28C2×C4semidirect
122. #6406C2×C4semidirect
127. #6383C2×C4semidirect
130. #6382C2×C4semidirect
135. #6377C2×C4semidirect
140. #2349D7semidirect
216. #1141C4⋊C4semidirect
306. C7×D4C2×C4⋊C4semidirect
362. C7⋊C8C2×C4⋊C4semidirect
389. C4×D4C4×D7semidirect
595. D4D7×C4⋊C4semidirect
648. C7#22676semidirect

Maximal subgroups

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

subgroupindex
C7×#23492
C2×#897862
C2×C4×#11412
C4⋊C4×D282
#117293612
#117293602
#117293582
#117273802
#117273792
#117273752
#117273722
#117273102
#117273042
#117272322
#226767