Finite Group Databasebeta

← C4×#89829 #13360010

Subgroups — C4×#89829 #13360010

Order 1792.

1136 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×C7×#124C211yesmaximal, characteristic, complemented
2C2×#89829C211yesmaximal, characteristic
3C2×C4×#1143C211yesmaximal, characteristic, complemented
4C2×C4×#1141C211yesmaximal, characteristic
5C42×D28C211yesmaximal, characteristic, complemented
6#11729475C211yesmaximal, characteristic, complemented
7C4×#6409C211yesmaximal, characteristic, complemented
8C4×#6406C211yesmaximal, characteristic, complemented
9#11727441C211yesmaximal, characteristic, complemented
10#11727421C211yesmaximal, characteristic, complemented
11#11727411C211yesmaximal, characteristic
12#11727391C211yesmaximal, characteristic, complemented
13#11727310C211yesmaximal, characteristic, complemented
14#11727294C211yesmaximal, characteristic, complemented
15C4×C4⋊(C7⋊C8)C211yesmaximal, characteristic, complemented
16C2×C7×#124C2211yescharacteristic
17C2×C4×C7×Q8C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C22×#1143C2211yescharacteristic
20C22×#1141C2211yescharacteristic
21C2×C4×D28C2211yescharacteristic
22C2×C4×D28C2211yescharacteristic
23C2×C4×D28C2211yescharacteristic
24C2×C42×D7—21no—
25C7×#391C2211yescharacteristic
26C7×#390C2211yescharacteristic
27C7×#388—21no—
28C7×#388—21no—
29C7×#382C2211yescharacteristic
30C4×C7×C22⋊C4—21no—
31C4×C7×C22⋊C4—21no—
32C43×C7C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34C2×#6409C2211yescharacteristic
35C2×#6409C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38C2×#6406C2211yescharacteristic
39#89829C418yesdirect product factor
40C4×#1143—24no—
41C4×#1141—24no—
42C2×#6383C2211yescharacteristic
43C2×#6383C2211yescharacteristic
44C2×#6382C2211yescharacteristic
45C2×#6381C2211yescharacteristic
46C4×(C2×D7)⋊C4—21no—
47C4×(C2×D7)⋊C4—21no—
48C4×(C2×D7)⋊C4—21no—
49C4×C4⋊Dic7C2211yescharacteristic
50C4×C4⋊Dic7C2211yescharacteristic
51C4×C4⋊Dic7C2211yescharacteristic
52C2×C4⋊(C7⋊C8)C2211yescharacteristic
53C2×C4⋊(C7⋊C8)C2211yescharacteristic
54C2×C4×C7⋊C8C2211yescharacteristic
55C2×C4×C7⋊C8C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89319C2211yescharacteristic
61#89319C2211yescharacteristic
62C4×#463—71nomaximal, Sylow
63C22×C7×Q8C2311yescharacteristic
64C22×C7×D4C2311yescharacteristic
65C23×C4×C7—21no—
66C22×D28C2311yescharacteristic
67C22×C4×D7—21no—
68C22×C4×D7—21no—
69C22×C4×D7—21no—
70C7×#124—22no—
71C7×#124C2×C414yescomplemented
72C4×C7×Q8—22no—
73C4×C7×Q8—22no—
74C4×C7×D4—22no—
75C4×C7×D4—22no—
76C2×C7×C4⋊C4—21no—
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C4⋊C4C2311yescharacteristic
79C2×C7×C22⋊C4—21no—
80C2×C7×C22⋊C4—21no—
81C2×C7×C22⋊C4—21no—
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C42×C7—21no—
85C2×C42×C7D411yescharacteristic
86C2×C42×C7D411yescharacteristic
87C2×C42×C7D411yescharacteristic
88C2×C42×C7D411yescharacteristic
89C2×C42×C7C2311yescharacteristic
90C2×C42×C7C2311yescharacteristic
91C2×C42×C7C2311yescharacteristic
92C2×#1143—22no—
93C2×#1143—22no—
94C2×#1143C2×C414yescomplemented
95C2×#1141—22no—
96C2×#1141—22no—
97C2×#1141C2×C414yes—
98C2×(C2×D7)⋊C4—21no—
99C2×(C2×D7)⋊C4—21no—
100C2×(C2×D7)⋊C4—21no—
101C2×C4⋊Dic7C2311yescharacteristic
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4×Dic7—21no—
105C2×C4×Dic7—21no—
106C2×C4×Dic7—21no—
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109C22×C7⋊C8C2311yescharacteristic
110C22×C7⋊C8C2311yescharacteristic
111C4×D28—22no—
112C4×D28—22no—
113C4×D28—22no—
114C4×D28—22no—
115C4×D28C2×C414yescomplemented
116C4×D28D414yes—
117C42×D7—44no—
118C7×#95—21no—
119C7×#95—21no—
120C7×#95—21no—
121C7×#95—21no—
122#6409—22no—
123#6409—22no—
124#6409C2×C414yescomplemented
125#6406—22no—
126#6406—22no—
127#6406C2×C414yescomplemented
128C7⋊#95—21no—
129C7⋊#95—21no—
130C7⋊#95—21no—
131#6383—22no—
132#6383—22no—
133#6382—22no—
134#6381—22no—
135C4⋊(C7⋊C8)—22no—
136C4⋊(C7⋊C8)C2×C414yescomplemented
137C4×C7⋊C8—22no—
138C4×C7⋊C8—22no—
139C2×#463—71no—
140C2×C4×SD16—71no—
141C2×C4×D8—71no—
142C4×#124D711yescharacteristic, complemented
143C42×D4—71no—
144#1983—71no—
145#1949—71no—
146#1928—71no—
147#1926—71no—
148#1879—71no—
149#1877—71no—
150#1804—71no—
151C4×C4⋊C8—71no—
152C4×#103—71no—
153C4×#102—71no—
154C24×C7—21no—
155C23×D7—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8—21no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8C22×C412yes—
162C2×C7×D4—21no—
163C2×C7×D4—21no—
164C2×C7×D4—21no—
165C2×C7×D4—21no—
166C2×C7×D4—21no—
167C2×C7×D4C22×C412yes—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—42no—
172C22×C4×C7—42no—
173C22×C4×C7—42no—
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2411yescharacteristic
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—21no—
184C2×D28—21no—
185C2×D28—21no—
186C2×D28—21no—
187C2×D28C22×C412yes—
188C2×D28C2×D412yes—
189C2×D28#4112yes—
190C2×C4×D7—24no—
191C2×C4×D7—24no—
192C2×C4×D7—24no—
193C2×C4×D7—42no—
194C2×C4×D7—42no—
195C2×C4×D7—42no—
196C2×C4×D7—42no—
197C2×C4×D7—42no—
198C2×C4×D7—42no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—42no—
204C7×C22⋊C4—24no—
205C7×C22⋊C4—24no—
206C7×C22⋊C4—42no—
207C7×C22⋊C4—42no—
208C7×C22⋊C4—42no—
209C42×C7—22no—
210C42×C7—22no—
211C42×C7—22no—
212C42×C7—21no—
213C42×C7—21no—
214C42×C7—41no—
215C42×C7—42no—
216C42×C7C22×C412yes—
217C42×C7C2×D412yes—
218C42×C7#4112yes—
219C42×C7#4112yes—
220#1143—28no—
221#1141—28no—
222(C2×D7)⋊C4—24no—
223(C2×D7)⋊C4—24no—
224(C2×D7)⋊C4—24no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7C22×C412yes—
229C4⋊Dic7C2×D412yes—
230C4⋊Dic7#4112yes—
231C4×Dic7—42no—
232C4×Dic7—42no—
233C4×Dic7—42no—
234C2×C7⋊C8—21no—
235C2×C7⋊C8—21no—
236C2×C7⋊C8—21no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8C22×C412yes—
245C2×C7⋊C8C22×C412yes—
246C22×SD16—71no—
247C22×D8—71no—
248C2×#124C2×D711yescharacteristic
249C2×C4×Q8C2×D711yescharacteristic
250C2×C4×D4—71no—
251C2×C4×D4—71no—
252C2×C4×D4—71no—
253C2×C4×D4C2×D711yescharacteristic
254C22×C42—141no—
255#463—78no—
256C4×SD16—144no—
257C4×D8—144no—
258C2×#107—71no—
259C2×#106—71no—
260C2×C4⋊C8—71no—
261C2×C4⋊C8—71no—
262C2×#103—71no—
263C2×#103—71no—
264C2×#103—71no—
265C2×#102—71no—
266C2×#102—71no—
267C2×#102—71no—
268C2×#102—71no—
269C2×#102—71no—
270C2×C4×C8—71no—
271C2×C4×C8—71no—
272#391C2×D711yescharacteristic
273#390C2×D711yescharacteristic
274#388—21no—
275#388—21no—
276#382C2×D711yescharacteristic
277C4×C4⋊C4—71no—
278C4×C4⋊C4—71no—
279C4×C4⋊C4—71no—
280C4×C22⋊C4—21no—
281C4×C22⋊C4—21no—
282C4×C22⋊C4—141no—
283C4×C22⋊C4—141no—
284C4×C22⋊C4—141no—
285C43C2×D711yescharacteristic
286#340—71no—
287#340—71no—
288#340—71no—
289#340—71no—
290#336—71no—
291#336—71no—
292C23×C7—22no—
293C23×C7—41no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7—41no—
297C23×C7—41no—
298C23×C7—41no—
299C23×C7C22×D411yescharacteristic
300C22×D7—22no—
301C22×D7—22no—
302C22×D7—22no—
303C22×D7—41no—
304C22×D7—41no—
305C22×D7—41no—
306C22×D7—41no—
307C7×Q8—22no—
308C7×Q8—22no—
309C7×Q8—41no—
310C7×Q8—41no—
311C7×D4—22no—
312C7×D4—22no—
313C7×D4—41no—
314C7×D4—41no—
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—22no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—21no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—41no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—41no—
335C2×C4×C7—84no—
336C2×C4×C7C4×D412yes—
337C2×C4×C7C4×D412yes—
338C2×C4×C7#12112yes—
339C2×C4×C7#12112yes—
340C2×C4×C7#13512yes—
341C2×C4×C7#13512yes—
342C2×C4×C7AGL(1,ℤ/8)12yes—
343C2×C4×C7C23×C411yescharacteristic
344C2×C4×C7C22×D411yescharacteristic
345C2×C4×C7C2×#4111yescharacteristic
346C2×C4×C7C2×#4111yescharacteristic
347C2×C4×C7C2×#4111yescharacteristic
348C2×C4×C7C2×#4111yescharacteristic
349C2×Dic7—22no—
350C2×Dic7—22no—
351C2×Dic7—22no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358D28—22no—
359D28—22no—
360D28—22no—
361D28C4×D414yes—
362C4×D7—48no—
363C4×D7—48no—
364C4×D7—48no—
365C7⋊C8—22no—
366C7⋊C8—22no—
367C7⋊C8—41no—
368C7⋊C8—41no—
369C22×Q8C22×D711yescharacteristic
370C22×D4—71no—
371C22×D4C22×D711yescharacteristic
372C23×C4—21no—
373C23×C4—141no—
374C23×C4—141no—
375C23×C4—141no—
376C2×SD16—74no—
377C2×SD16—142no—
378C2×SD16—142no—
379C2×D8—74no—
380C2×D8—142no—
381C2×D8—142no—
382C22×C8—71no—
383C22×C8—71no—
384C22×C8—71no—
385C22×C8—71no—
386#124—22no—
387#124C4×D714yescomplemented
388C4×Q8—22no—
389C4×Q8—22no—
390C4×D4—22no—
391C4×D4—22no—
392C4×D4—74no—
393C4×D4—74no—
394C4×D4—142no—
395C4×D4—142no—
396C4×D4—142no—
397C4×D4—142no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4—71no—
401C2×C4⋊C4—71no—
402C2×C4⋊C4C22×D711yescharacteristic
403C2×C4⋊C4C22×D711yescharacteristic
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—21no—
409C2×C22⋊C4—141no—
410C2×C22⋊C4—141no—
411C2×C22⋊C4—141no—
412C2×C42—21no—
413C2×C42—141no—
414C2×C42—141no—
415C2×C42—141no—
416C2×C42—284no—
417C2×C42C22⋊D711yescharacteristic
418C2×C42C22⋊D711yescharacteristic
419C2×C42C22⋊D711yescharacteristic
420C2×C42C22⋊D711yescharacteristic
421C2×C42C22×D711yescharacteristic
422C2×C42C22×D711yescharacteristic
423C2×C42C22×D711yescharacteristic
424#107—142no—
425#106—142no—
426C4⋊C8—74no—
427C4⋊C8—142no—
428#103—74no—
429#103—142no—
430#103—142no—
431#102—74no—
432#102—142no—
433#102—142no—
434#102—142no—
435#102—142no—
436C4×C8—142no—
437C4×C8—142no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—141no—
443#95—141no—
444#95—141no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—42no—
448C22×C7—81no—
449C22×C7—81no—
450C22×C7—81no—
451C22×C7—81no—
452C22×C7C2×C4×D411yescharacteristic
453C22×C7C2×#12111yescharacteristic
454C22×C7#52511yescharacteristic
455C22×C7C2×#13511yescharacteristic
456C22×C7C2×#13511yescharacteristic
457C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
458C22×C7#57511yescharacteristic
459C2×D7—24no—
460C2×D7—42no—
461C2×D7—42no—
462C2×D7—42no—
463C2×D7—42no—
464C2×D7—42no—
465C2×D7—42no—
466C4×C7—22no—
467C4×C7—22no—
468C4×C7—22no—
469C4×C7—22no—
470C4×C7—41no—
471C4×C7—42no—
472C4×C7—81no—
473C4×C7—81no—
474C4×C7#46314yescomplemented
475C4×C7C2×C4×D411yescharacteristic
476C4×C7C4×#4111yescharacteristic
477C4×C7#52911yescharacteristic
478C4×C7#53211yescharacteristic
479Dic7—42no—
480Dic7—42no—
481Dic7—42no—
482C24—21no—
483C24—141no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8C2×C4×D712yes—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—72no—
496C2×D4—72no—
497C2×D4—72no—
498C2×D4—141no—
499C2×D4—141no—
500C2×D4—141no—
501C2×D4C2×C4×D712yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—144no—
509C22×C4—141no—
510C22×C4—141no—
511C22×C4—141no—
512C22×C4—144no—
513C22×C4—144no—
514C22×C4—282no—
515C22×C4—282no—
516C22×C4—282no—
517C22×C4—282no—
518C22×C4—282no—
519C22×C4—282no—
520C22×C4C2×C22⋊D711yescharacteristic
521C22×C4C2×C22⋊D711yescharacteristic
522C22×C4C2×C22⋊D711yescharacteristic
523C22×C4C2×C22⋊D711yescharacteristic
524C22×C4C2×C22⋊D711yescharacteristic
525C22×C4C2×C22⋊D711yescharacteristic
526C22×C4C23×D711yescharacteristic
527SD16—148no—
528D8—148no—
529C2×C8—72no—
530C2×C8—72no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C2×C8—141no—
538C2×C8—141no—
539C2×C8—141no—
540C2×C8—141no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—42no—
546C4⋊C4—72no—
547C4⋊C4—72no—
548C4⋊C4—72no—
549C4⋊C4—141no—
550C4⋊C4—141no—
551C4⋊C4—141no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—144no—
558C22⋊C4—144no—
559C22⋊C4—144no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—21no—
564C42—21no—
565C42—41no—
566C42—42no—
567C42—282no—
568C42—282no—
569C42—282no—
570C42C2×C4×D712yes—
571C42#115712yes—
572C42D4×D712yes—
573C42#115912yes—
574C2×C7—82no—
575C2×C7C4×#12111yescharacteristic
576C2×C7C4×#13511yescharacteristic
577C2×C7C4×AGL(1,ℤ/8)11yescharacteristic
578C2×C7C2×#46311yescharacteristic
579C2×C7#303511yescharacteristic
580C2×C7#310211yescharacteristic
581C2×C7#310511yescharacteristic
582D7—44no—
583C23—22no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—142no—
591C23—142no—
592C23—142no—
593C23—281no—
594C23—281no—
595C23—281no—
596C23—281no—
597C23C22×C22⋊D711yescharacteristic
598Q8—22no—
599Q8—22no—
600Q8—41no—
601Q8—41no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—74no—
607D4—142no—
608D4—142no—
609D4—142no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—84no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—288no—
635C2×C4—288no—
636C2×C4—281no—
637C2×C4—281no—
638C2×C4—281no—
639C2×C4—281no—
640C2×C4—281no—
641C2×C4—281no—
642C2×C4—288no—
643C2×C4C4×C22⋊D712yes—
644C2×C4C4×C22⋊D712yes—
645C2×C4#650112yes—
646C2×C4#650112yes—
647C2×C4#651212yes—
648C2×C4#651312yes—
649C2×C4#651312yes—
650C2×C4C22×C4×D711yescharacteristic
651C2×C4C2×#115711yescharacteristic
652C2×C4C2×D4×D711yescharacteristic
653C2×C4C2×#115911yescharacteristic
654C2×C4D7×#4111yescharacteristic
655C2×C4D7×#4111yescharacteristic
656C8—142no—
657C8—142no—
658C8—281no—
659C8—281no—
660C7C4×#46311yescharacteristic, complemented, Sylow
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—144no—
669C22—282no—
670C22—282no—
671C22—282no—
672C22—282no—
673C22—282no—
674C22—282no—
675C22C2×C4×C22⋊D711yescharacteristic
676C22C2×#650111yescharacteristic
677C22C2×#651211yescharacteristic
678C22C2×#651311yescharacteristic
679C22C2×#651311yescharacteristic
680C22#9051311yescharacteristic
681C22#9051911yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—41no—
687C4—42no—
688C4—81no—
689C4—81no—
690C4—282no—
691C4—282no—
692C4—282no—
693C4#8982914yesdirect product factor
694C4C4×#115911yescharacteristic
695C4C4×D4×D711yescharacteristic
696C4#9023911yescharacteristic
697C4#9024811yescharacteristic
698C2—82no—
699C2—284no—
700C2C4×#650111yescharacteristic
701C2C4×#651311yescharacteristic
702C2C4×#651211yescharacteristic
703C2C2×#8982911yescharacteristic
704C2#1174058511yescharacteristic
705C2#1174058611yescharacteristic
706C2#1174074111yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC4×C7×#124C2
socleC23×C7C22×D4
prime radicalC22×#1141C22
cosocleC22×C4×C7C24
hypercenterC4×#124D7
hypocenterC7C4×#463
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C43 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
1. C4×C7×#124C2semidirect
3. C2×C4×#1143C2semidirect
5. C42×D28C2semidirect
6. #11729475C2semidirect
7. C4×#6409C2semidirect
8. C4×#6406C2semidirect
9. #11727441C2semidirect
10. #11727421C2semidirect
12. #11727391C2semidirect
13. #11727310C2semidirect
14. #11727294C2semidirect
15. C4×C4⋊(C7⋊C8)C2semidirect
39. #89829C4direct (N × H)
71. C7×#124C2×C4semidirect
94. C2×#1143C2×C4semidirect
115. C4×D28C2×C4semidirect
124. #6409C2×C4semidirect
127. #6406C2×C4semidirect
136. C4⋊(C7⋊C8)C2×C4semidirect
142. C4×#124D7semidirect
387. #124C4×D7semidirect
474. C4×C7#463semidirect
660. C7C4×#463semidirect
693. C4#89829direct (N × H)

Maximal subgroups

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

subgroupindex
C4×C7×#1242
C2×#898292
C2×C4×#11432
C2×C4×#11412
C42×D282
#117294752
C4×#64092
C4×#64062
#117274412
#117274212
#117274112
#117273912
#117273102
#117272942
C4×C4⋊(C7⋊C8)2
C4×#4637