Finite Group Databasebeta

← C2×#428×D43 #25960248

Subgroups — C2×#428×D43 #25960248

Order 11008.

3182 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D43C211yesmaximal, characteristic
2C2×#117×D43C211yesmaximal, characteristic
3C22×C4⋊C4×D43C211yesmaximal, characteristic
4C2×#14582942C211yesmaximal, characteristic, complemented
5C2×#14582941C211yesmaximal, characteristic, complemented
6C2×#14582940C212yesmaximal, complemented
7C2×#14582939C211yesmaximal, characteristic, complemented
8C2×#14582938C212yesmaximal, complemented
9#428×D43C2116yesmaximal, direct product factor
10C2×#107×D43C212yesmaximal, complemented
11C2×#106×D43C212yesmaximal, complemented
12C2×C43×#428C211yesmaximal, characteristic, complemented
13C23×C4×D43—21no—
14C23×C4×D43C2211yescharacteristic
15C22×#10621877C2211yescharacteristic
16C22×#10621872C2212yes—
17C2×M16×D43C4116yescomplemented
18C2×M16×D43C2218yes—
19C22×C8×D43C2212yes—
20C2×#13063284C2211yescharacteristic
21C2×#13063283C2211yescharacteristic
22C2×#13063283C2211yescharacteristic
23C2×#13063282—21no—
24C2×#13063281—21no—
25#117×D43—24no—
26#117×D43C2218yes—
27C22×C4⋊Dic43C2211yescharacteristic
28C22×Dic43⋊C4—21no—
29C2×C4⋊C4×D43—21no—
30C2×C4⋊C4×D43—24no—
31C2×C4⋊C4×D43—21no—
32C2×C4⋊C4×D43C2211yescharacteristic
33C2×C4⋊C4×D43C2212yes—
34C2×C4⋊C4×D43C2218yes—
35C2×C4⋊C4×D43C2212yes—
36C2×C4⋊C4×D43C2211yescharacteristic
37C2×C22⋊C4×D43—21no—
38C2×C42×D43—21no—
39#14582942C2218yescomplemented
40#14582941C2218yescomplemented
41#14582940C22116yescomplemented
42#14582939C2218yescomplemented
43#14582938C22116yescomplemented
44C2×#13063259C2212yescomplemented
45C2×#13063258C2212yescomplemented
46C2×#13063258C2212yescomplemented
47#107×D43C22116yescomplemented
48C2×#13063257C2212yescomplemented
49C2×#13063256C2212yescomplemented
50C2×#13063256C2212yescomplemented
51#106×D43C22116yescomplemented
52C22×M16×C43C2211yescharacteristic
53C2×#117×C43C2211yescharacteristic
54C22×C4⋊C4×C43C2211yescharacteristic
55C43×#428C2218yescomplemented
56C2×#107×C43C2212yescomplemented
57C2×#106×C43C2212yescomplemented
58C24×D43D411yescharacteristic
59C23×Dic43—21no—
60C23×Dic43D411yescharacteristic
61C22×C4×D43—21no—
62C22×C4×D43—21no—
63C22×C4×D43—28no—
64C22×C4×D43—22no—
65C22×C4×D43—22no—
66C22×C4×D43—48no—
67C22×C4×D43C2×C418yes—
68C22×C4×D43D411yescharacteristic
69C22×C4×D43D414yes—
70C22×C4×D43D411yescharacteristic
71C22×C4×D43Q818yes—
72C22×C4×D43C2311yescharacteristic
73C22×C4×D43C2314yes—
74C22×C4×D43C2311yescharacteristic
75C2×#10621877C2×C418yescomplemented
76C2×#10621877C2314yes—
77C2×#10621872C2×C4116yescomplemented
78C2×#10621872C2318yes—
79M16×D43C2×C4164yescomplemented
80C22×C43⋊C8C2312yes—
81C2×C8×D43C2×C4116yescomplemented
82C2×C8×D43C2318yes—
83#13063284—22no—
84#13063284C2314yes—
85#13063283—22no—
86#13063283—22no—
87#13063283C2314yes—
88#13063283C2314yes—
89#13063282—28no—
90#13063281—28no—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43—22no—
93C2×C4⋊Dic43C2312yes—
94C2×C4⋊Dic43C2314yes—
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×Dic43⋊C4—22no—
98C2×Dic43⋊C4—22no—
99C2×Dic43⋊C4—28no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C4⋊C4×D43—28no—
103C4⋊C4×D43—24no—
104C4⋊C4×D43—28no—
105C4⋊C4×D43—24no—
106C4⋊C4×D43—22no—
107C4⋊C4×D43—22no—
108C4⋊C4×D43C2318yes—
109C4⋊C4×D43C2318yes—
110C4⋊C4×D43C2314yes—
111C4⋊C4×D43C2314yes—
112C2×C22⋊Dic43—21no—
113C2×(C2×D43)⋊C4—21no—
114C2×(C2×D43)⋊C4—21no—
115C22⋊C4×D43—28no—
116C2×C4×Dic43—21no—
117C2×C4×Dic43—21no—
118C2×C4×Dic43—21no—
119C42×D43—28no—
120#13063259C2318yescomplemented
121#13063258C2318yescomplemented
122#13063258C2318yescomplemented
123#13063257C2318yescomplemented
124#13063256C2318yescomplemented
125#13063256C2318yescomplemented
126C23×C4×C43—21no—
127C23×C4×C43C2311yescharacteristic
128C2×M16×C43C2×C418yescomplemented
129C2×M16×C43C2314yes—
130C22×C8×C43C2312yes—
131#117×C43—22no—
132#117×C43C2314yes—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43—22no—
135C2×C4⋊C4×C43C2312yes—
136C2×C4⋊C4×C43C2314yes—
137C2×C4⋊C4×C43C2311yescharacteristic
138C2×C4⋊C4×C43C2311yescharacteristic
139C2×C22⋊C4×C43—21no—
140C2×C42×C43—21no—
141#107×C43C2318yescomplemented
142#106×C43C2318yescomplemented
143C24×C43C2×D411yescharacteristic
144C23×D43—24no—
145C23×D43—24no—
146C23×D43C4⋊C418yes—
147C23×D43C2×D414yes—
148C23×D43C2×D411yescharacteristic
149C23×D43C2×D411yescharacteristic
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—24no—
153C22×C4×C43—22no—
154C22×C4×C43—44no—
155C22×C4×C43C22×C414yes—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D412yes—
158C22×C4×C43C2×Q814yes—
159C22×C4×C43C2411yescharacteristic
160C22×C4×C43C2412yes—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—24no—
164C22×Dic43—22no—
165C22×Dic43—44no—
166C22×Dic43C4⋊C418yes—
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D414yes—
170C2×C4×D43—24no—
171C2×C4×D43—24no—
172C2×C4×D43—28no—
173C2×C4×D43—28no—
174C2×C4×D43—48no—
175C2×C4×D43—432no—
176C2×C4×D43—44no—
177C2×C4×D43—48no—
178C2×C4×D43—44no—
179C2×C4×D43C4⋊C4132yes—
180C2×C4×D43C4⋊C418yes—
181C2×C4×D43C4⋊C418yes—
182C2×C4×D43C22×C414yes—
183C2×C4×D43C22×C4116yes—
184C2×C4×D43C22×C414yes—
185C2×C4×D43C2×D414yes—
186C2×C4×D43C2×D412yes—
187C2×C4×D43C2×D414yes—
188C2×C4×D43C2×D412yes—
189C2×C4×D43C2×Q8116yes—
190C2×C4×D43C2×Q814yes—
191C2×C4×D43C2×Q814yes—
192C2×C4×D43C2412yes—
193C2×C4×D43C2412yes—
194M16×C43C22×C4116yescomplemented
195C2×C8×C43C22×C418yescomplemented
196C2×C8×C43C2414yes—
197C4⋊C4×C43—24no—
198C4⋊C4×C43—22no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43C2412yes—
202C4⋊C4×C43C2414yes—
203C4⋊C4×C43C2412yes—
204C22⋊C4×C43—24no—
205C42×C43—24no—
206C22⋊Dic43—24no—
207(C2×D43)⋊C4—24no—
208(C2×D43)⋊C4—24no—
209C4⋊Dic43—24no—
210C4⋊Dic43—22no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43C2412yes—
214C4⋊Dic43C2414yes—
215C4⋊Dic43C2412yes—
216Dic43⋊C4—28no—
217Dic43⋊C4—28no—
218Dic43⋊C4—24no—
219Dic43⋊C4—24no—
220C4×Dic43—24no—
221C4×Dic43—24no—
222C4×Dic43—24no—
223#10621877C22×C4116yescomplemented
224C2×C43⋊C8C22×C418yescomplemented
225C2×C43⋊C8C2414yes—
226#10621872C22×C4132yescomplemented
227C8×D43C22×C4132yescomplemented
228C23×C43—22no—
229C23×C43—22no—
230C23×C43C2×C4⋊C414yes—
231C23×C43C22×D412yes—
232C23×C43C22×D411yescharacteristic
233C22×D43—22no—
234C22×D43—22no—
235C22×D43—28no—
236C22×D43—28no—
237C22×D43—232no—
238C22×D43C2×C4⋊C414yes—
239C22×D43C2×C4⋊C4116yes—
240C22×D43C2×C4⋊C414yes—
241C22×D43AGL(1,ℤ/8)14yes—
242C22×D43#13714yes—
243C22×D43C22×D412yes—
244C22×D43C22×D412yes—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—24no—
248C2×C4×C43—48no—
249C2×C4×C43—44no—
250C2×C4×C43—42no—
251C2×C4×C43—42no—
252C2×C4×C43C2×C4⋊C418yes—
253C2×C4×C43C2×C4⋊C414yes—
254C2×C4×C43C23×C412yes—
255C2×C4×C43C23×C414yes—
256C2×C4×C43C22×D412yes—
257C2×C4×C43C22×D411yescharacteristic
258C2×C4×C43C22×Q814yes—
259C2×C4×C43C22×Q812yes—
260C2×C4×C43C2511yescharacteristic
261C2×Dic43—22no—
262C2×Dic43—22no—
263C2×Dic43—24no—
264C2×Dic43—48no—
265C2×Dic43—44no—
266C2×Dic43—42no—
267C2×Dic43—42no—
268C2×Dic43C2×C4⋊C4116yes—
269C2×Dic43C2×C4⋊C414yes—
270C2×Dic43C2×C4⋊C414yes—
271C2×Dic43C22×D412yes—
272C2×Dic43C22×D412yes—
273C4×D43—416no—
274C4×D43—48no—
275C4×D43—416no—
276C4×D43—48no—
277C4×D43C2×C4⋊C4116yes—
278C4×D43C2×C4⋊C418yes—
279C4×D43C2×C4⋊C418yes—
280C4×D43C2×C4⋊C4116yes—
281C4×D43C23×C414yes—
282C4×D43C23×C414yes—
283C4×D43C22×Q814yes—
284C4×D43C22×Q814yes—
285C8×C43C23×C418yescomplemented
286C43⋊C8C23×C418yescomplemented
287C22×#428—431nomaximal, Sylow
288C22×C43—28no—
289C22×C43—22no—
290C22×C43—22no—
291C22×C43C22×C4⋊C414yes—
292C22×C43C22×C4⋊C412yes—
293C22×C43C2×AGL(1,ℤ/8)12yes—
294C22×C43C2×#13712yes—
295C22×C43C23×D411yescharacteristic
296C2×D43—28no—
297C2×D43—22no—
298C2×D43—22no—
299C2×D43—232no—
300C2×D43#428116yesdirect product factor
301C2×D43C22×C4⋊C414yes—
302C2×D43C22×C4⋊C414yes—
303C2×D43C2×AGL(1,ℤ/8)14yes—
304C2×D43C2×#13714yes—
305C4×C43—44no—
306C4×C43—42no—
307C4×C43—42no—
308C4×C43C22×C4⋊C412yes—
309C4×C43C22×C4⋊C414yes—
310C4×C43C24×C411yescharacteristic
311C4×C43C23×Q811yescharacteristic
312Dic43—44no—
313Dic43—42no—
314Dic43—42no—
315Dic43C22×C4⋊C414yes—
316Dic43C22×C4⋊C414yes—
317C23×M16—431no—
318C22×#117—431no—
319C23×C4⋊C4—431no—
320C2×#428—4316no—
321C2×#428—432no—
322C2×#428—432no—
323C2×#428—431no—
324C2×#428—431no—
325C2×#428—431no—
326C2×#428D4311yescharacteristic, direct product factor
327C22×#107—432no—
328C22×#106—432no—
329C2×C43—24no—
330C2×C43C2×#42814yescomplemented
331C2×C43C23×C4⋊C411yescharacteristic
332C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
333C2×C43C22×#13711yescharacteristic
334D43—24no—
335D43C2×#42818yesdirect product factor
336C24×C4—431no—
337C24×C4—861no—
338C22×M16—431no—
339C22×M16—438no—
340C22×M16—4316no—
341C22×M16—432no—
342C22×M16C2×D4311yescharacteristic
343C23×C8—432no—
344C2×#117—431no—
345C2×#117—438no—
346C2×#117—431no—
347C2×#117—431no—
348C2×#117—861no—
349C2×#117—861no—
350C2×#117—864no—
351C2×#117C2×D4311yescharacteristic
352C22×C4⋊C4—431no—
353C22×C4⋊C4—431no—
354C22×C4⋊C4—432no—
355C22×C4⋊C4—431no—
356C22×C4⋊C4—432no—
357C22×C4⋊C4—438no—
358C22×C4⋊C4—864no—
359C22×C4⋊C4—861no—
360C22×C4⋊C4—861no—
361C22×C4⋊C4—861no—
362C22×C4⋊C4C2×D4311yescharacteristic
363C22×C22⋊C4—861no—
364C22×C42—861no—
365#428—438no—
366#428—438no—
367#428—438no—
368#428—4316no—
369#428—4316no—
370#428C2×D4318yesdirect product factor
371C2×#107—432no—
372C2×#107—432no—
373C2×#107—432no—
374C2×#107—4316no—
375C2×#107C2×D4312yescomplemented
376C2×#106—432no—
377C2×#106—432no—
378C2×#106—432no—
379C2×#106—4316no—
380C2×#106C2×D4312yescomplemented
381C43C22×#42811yescharacteristic, complemented, Sylow
382C25—431no—
383C23×C4—21no—
384C23×C4—431no—
385C23×C4—438no—
386C23×C4—434no—
387C23×C4—431no—
388C23×C4—431no—
389C23×C4—438no—
390C23×C4—431no—
391C23×C4—434no—
392C23×C4—431no—
393C23×C4—861no—
394C23×C4—861no—
395C23×C4—868no—
396C23×C4—862no—
397C23×C4—862no—
398C23×C4—861no—
399C23×C4—1728no—
400C23×C4C22×D4311yescharacteristic
401C2×M16—438no—
402C2×M16—434no—
403C2×M16—4364no—
404C2×M16—4316no—
405C2×M16—438no—
406C2×M16C4×D4318yescomplemented
407C2×M16C22×D4314yes—
408C22×C8—432no—
409C22×C8—4316no—
410C22×C8—438no—
411C22×C8C22×D4312yes—
412#117—22no—
413#117—434no—
414#117—434no—
415#117—434no—
416#117—868no—
417#117—868no—
418#117—862no—
419#117—862no—
420#117—862no—
421#117C22×D4314yes—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—432no—
425C2×C4⋊C4—434no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4—438no—
429C2×C4⋊C4—438no—
430C2×C4⋊C4—434no—
431C2×C4⋊C4—434no—
432C2×C4⋊C4—868no—
433C2×C4⋊C4—864no—
434C2×C4⋊C4—868no—
435C2×C4⋊C4—864no—
436C2×C4⋊C4—862no—
437C2×C4⋊C4—862no—
438C2×C4⋊C4—868no—
439C2×C4⋊C4—862no—
440C2×C4⋊C4—862no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—861no—
443C2×C4⋊C4—862no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4C22×D4312yes—
446C2×C4⋊C4C22×D4314yes—
447C2×C4⋊C4C22×D4311yescharacteristic
448C2×C4⋊C4C22×D4311yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—868no—
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C42—21no—
455C2×C42—868no—
456C2×C42—861no—
457C2×C42—861no—
458C2×C42—861no—
459#107—438no—
460#107—438no—
461#107—438no—
462#107C22×D4318yescomplemented
463#106—438no—
464#106—438no—
465#106—438no—
466#106C22×D4318yescomplemented
467C24—431no—
468C24—438no—
469C24—434no—
470C24—431no—
471C24—864no—
472C24—864no—
473C24D4×D4311yescharacteristic
474C22×C4—24no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—44no—
479C22×C4—438no—
480C22×C4—434no—
481C22×C4—431no—
482C22×C4—431no—
483C22×C4—438no—
484C22×C4—4332no—
485C22×C4—438no—
486C22×C4—434no—
487C22×C4—4316no—
488C22×C4—434no—
489C22×C4—434no—
490C22×C4—432no—
491C22×C4—432no—
492C22×C4—434no—
493C22×C4—434no—
494C22×C4—4316no—
495C22×C4—434no—
496C22×C4—432no—
497C22×C4—432no—
498C22×C4—864no—
499C22×C4—864no—
500C22×C4—868no—
501C22×C4—868no—
502C22×C4—864no—
503C22×C4—861no—
504C22×C4—861no—
505C22×C4—862no—
506C22×C4—1728no—
507C22×C4—1724no—
508C22×C4—1724no—
509C22×C4—17232no—
510C22×C4—1728no—
511C22×C4—1724no—
512C22×C4C2×C4×D4314yes—
513C22×C4D4×D4312yes—
514C22×C4D4×D4311yescharacteristic
515C22×C4Q8×D4314yes—
516C22×C4C23×D4312yes—
517C22×C4C23×D4311yescharacteristic
518M16—4316no—
519M16—4332no—
520M16C2×C4×D43116yescomplemented
521C2×C8—438no—
522C2×C8—434no—
523C2×C8—4332no—
524C2×C8C2×C4×D4318yescomplemented
525C2×C8C23×D4314yes—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—432no—
531C4⋊C4—434no—
532C4⋊C4—432no—
533C4⋊C4—868no—
534C4⋊C4—868no—
535C4⋊C4—864no—
536C4⋊C4—864no—
537C4⋊C4—864no—
538C4⋊C4—862no—
539C4⋊C4—861no—
540C4⋊C4—861no—
541C4⋊C4C23×D4312yes—
542C4⋊C4C23×D4314yes—
543C4⋊C4C23×D4312yes—
544C22⋊C4—24no—
545C22⋊C4—864no—
546C22⋊C4—864no—
547C22⋊C4—864no—
548C42—24no—
549C42—864no—
550C42—864no—
551C42—864no—
552C23—22no—
553C23—22no—
554C23—434no—
555C23—434no—
556C23—434no—
557C23—432no—
558C23—4316no—
559C23—434no—
560C23—432no—
561C23—868no—
562C23—8632no—
563C23—868no—
564C23—862no—
565C23—862no—
566C23C4⋊C4×D4314yes—
567C23C2×D4×D4312yes—
568C23C2×D4×D4311yescharacteristic
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—48no—
573C2×C4—44no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—4316no—
577C2×C4—434no—
578C2×C4—434no—
579C2×C4—432no—
580C2×C4—432no—
581C2×C4—438no—
582C2×C4—4316no—
583C2×C4—438no—
584C2×C4—4316no—
585C2×C4—434no—
586C2×C4—434no—
587C2×C4—434no—
588C2×C4—434no—
589C2×C4—862no—
590C2×C4—862no—
591C2×C4—864no—
592C2×C4—17216no—
593C2×C4—1728no—
594C2×C4—1728no—
595C2×C4—17216no—
596C2×C4—1728no—
597C2×C4—1724no—
598C2×C4—1722no—
599C2×C4—1722no—
600C2×C4C4⋊C4×D4318yes—
601C2×C4C4⋊C4×D4314yes—
602C2×C4C22×C4×D4312yes—
603C2×C4C22×C4×D4314yes—
604C2×C4C2×D4×D4312yes—
605C2×C4C2×D4×D4311yescharacteristic
606C2×C4C2×Q8×D4314yes—
607C2×C4C2×Q8×D4312yes—
608C2×C4C24×D4311yescharacteristic
609C8—438no—
610C8C22×C4×D4318yescomplemented
611C22—28no—
612C22—22no—
613C22—22no—
614C22—4316no—
615C22—434no—
616C22—434no—
617C22—434no—
618C22—434no—
619C22—8632no—
620C22—868no—
621C22—862no—
622C22—862no—
623C22C2×C4⋊C4×D4314yes—
624C22C2×C4⋊C4×D4312yes—
625C22AGL(1,ℤ/8)×D4312yes—
626C22#137×D4312yes—
627C22C22×D4×D4311yescharacteristic
628C4—44no—
629C4—42no—
630C4—42no—
631C4—434no—
632C4—434no—
633C4—1724no—
634C4—1722no—
635C4—1722no—
636C4C2×C4⋊C4×D4312yes—
637C4C2×C4⋊C4×D4314yes—
638C4C23×C4×D4311yescharacteristic
639C4C22×Q8×D4311yescharacteristic
640C2—24no—
641C2—438no—
642C2—864no—
643C2#428×D4314yesdirect product factor
644C2C22×C4⋊C4×D4311yescharacteristic
645C2C2×AGL(1,ℤ/8)×D4311yescharacteristic
646C2C2×#137×D4311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#428C2
socleC23×C43C22×D4
prime radicalC24×D43D4
cosocleC2×C4×C43C25
hypercenterC2×#428D43
hypocenterC43C22×#428
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. C2×#14582942C2semidirect
5. C2×#14582941C2semidirect
6. C2×#14582940C2semidirect
7. C2×#14582939C2semidirect
8. C2×#14582938C2semidirect
9. #428×D43C2direct (N × H)
10. C2×#107×D43C2semidirect
11. C2×#106×D43C2semidirect
12. C2×C43×#428C2semidirect
17. C2×M16×D43C4semidirect
39. #14582942C22semidirect
40. #14582941C22semidirect
41. #14582940C22semidirect
42. #14582939C22semidirect
43. #14582938C22semidirect
44. C2×#13063259C22semidirect
45. C2×#13063258C22semidirect
46. C2×#13063258C22semidirect
47. #107×D43C22semidirect
48. C2×#13063257C22semidirect
49. C2×#13063256C22semidirect
50. C2×#13063256C22semidirect
51. #106×D43C22semidirect
55. C43×#428C22semidirect
56. C2×#107×C43C22semidirect
57. C2×#106×C43C22semidirect
75. C2×#10621877C2×C4semidirect
77. C2×#10621872C2×C4semidirect
79. M16×D43C2×C4semidirect
81. C2×C8×D43C2×C4semidirect
120. #13063259C23semidirect
121. #13063258C23semidirect
122. #13063258C23semidirect
123. #13063257C23semidirect
124. #13063256C23semidirect
125. #13063256C23semidirect
128. C2×M16×C43C2×C4semidirect
141. #107×C43C23semidirect
142. #106×C43C23semidirect
194. M16×C43C22×C4semidirect
195. C2×C8×C43C22×C4semidirect
223. #10621877C22×C4semidirect
224. C2×C43⋊C8C22×C4semidirect
226. #10621872C22×C4semidirect
227. C8×D43C22×C4semidirect
285. C8×C43C23×C4semidirect
286. C43⋊C8C23×C4semidirect
300. C2×D43#428direct (N × H)
326. C2×#428D43direct (N × H)
330. C2×C43C2×#428semidirect
335. D43C2×#428direct (N × H)
370. #428C2×D43direct (N × H)
375. C2×#107C2×D43semidirect
380. C2×#106C2×D43semidirect
381. C43C22×#428semidirect
406. C2×M16C4×D43semidirect
462. #107C22×D43semidirect
466. #106C22×D43semidirect
520. M16C2×C4×D43semidirect
524. C2×C8C2×C4×D43semidirect
610. C8C22×C4×D43semidirect
643. C2#428×D43direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D432
C2×#117×D432
C22×C4⋊C4×D432
C2×#145829422
C2×#145829412
C2×#145829402
C2×#145829392
C2×#145829382
#428×D432
C2×#107×D432
C2×#106×D432
C2×C43×#4282
C22×#42843