Finite Group Databasebeta

← #25096073

Subgroups — #25096073

Order 11008.

1882 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
1C2×C4×D4×D43C211yesmaximal, characteristic
2C2×#14582921C211yesmaximal, characteristic, complemented
3C2×#14582902C212yesmaximal
4#19137000C211yesmaximal, characteristic, complemented
5#19134604C212yesmaximal, complemented
6#19134603C212yesmaximal, complemented
7#19134596C211yesmaximal, characteristic, complemented
8#19134595C211yesmaximal, characteristic, complemented
9#19134592C211yesmaximal, characteristic, complemented
10#19134313C212yesmaximal, complemented
11C43×#1802C211yesmaximal, characteristic, complemented
12C22×D4×D43C2211yescharacteristic
13C23×C4×D43—21no—
14C22×#10621872C2212yes—
15C2×C4×D172C2211yescharacteristic
16C2×D4×Dic43C2211yescharacteristic
17C2×#13063287C2211yescharacteristic
18C2×C4×C22⋊D43—21no—
19C2×(C22⋊D43)⋊C4—21no—
20C4×D4×D43—24no—
21C4×D4×D43C418yescomplemented
22C2×#13063283C2212yes—
23C2×C4⋊C4×D43C2211yescharacteristic
24C2×C22⋊C4×D43—21no—
25C2×C42×D43C2211yescharacteristic
26#14582921—24no—
27C2×C4⋊(C43⋊C8)C2211yescharacteristic, complemented
28C2×Dic43⋊C8C2212yescomplemented
29#14582902—28no—
30C2×#13063247C2212yes—
31C2×#13063246C2212yes—
32C2×#13063245C2212yes—
33#14582769C2211yescharacteristic, complemented
34#14582764C2212yescomplemented
35#14582756—21no—
36#14582756—21no—
37C4⋊C4×Dic43—21no—
38C4⋊C4×Dic43—21no—
39#14582662C2212yescomplemented
40#14582661C2212yescomplemented
41#14582661C2212yescomplemented
42C2×C4×D4×C43C2211yescharacteristic
43C2×C4⋊C8×C43C2211yescharacteristic, complemented
44C2×#102×C43C2212yes—
45C43×#384C2211yescharacteristic, complemented
46C43×#340C2212yescomplemented
47C24×D43—21no—
48C22×D172C2311yescharacteristic
49C22×C22⋊D43—21no—
50C2×D4×D43—22no—
51C2×D4×D43—22no—
52C2×D4×D43—22no—
53C2×D4×D43C2×C414yes—
54C2×D4×D43D414yes—
55C2×D4×D43Q814yes—
56C23×Dic43—21no—
57C22×C4×D43—21no—
58C22×C4×D43—21no—
59C22×C4×D43—21no—
60C22×C4×D43—28no—
61C22×C4×D43—44no—
62C22×C4×D43—44no—
63C22×C4×D43D411yescharacteristic
64C22×C4×D43D411yescharacteristic
65C22×C4×D43C2311yescharacteristic
66C2×#10621872—24no—
67C2×#10621872—24no—
68C2×#10621872—24no—
69C22×C43⋊C8C2312yes—
70C4×D172—22no—
71C4×D172C2×C414yes—
72D4×Dic43—22no—
73D4×Dic43C2×C414yes—
74#13063287—22no—
75#13063287C2×C414yes—
76C4×C22⋊D43—28no—
77(C22⋊D43)⋊C4—28no—
78#13063283—24no—
79#13063283—24no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43—21no—
82C2×C4⋊Dic43C2312yes—
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C4⋊C4×D43—22no—
86C4⋊C4×D43C2×C414yes—
87C2×C22⋊Dic43—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—22no—
91C22⋊C4×D43—28no—
92C2×C4×Dic43—22no—
93C2×C4×Dic43D411yescharacteristic
94C2×C4×Dic43D411yescharacteristic
95C2×C4×Dic43C2311yescharacteristic
96C42×D43C2×C414yes—
97C42×D43D414yes—
98C4⋊(C43⋊C8)—22no—
99Dic43⋊C8—24no—
100#13063247—24no—
101#13063246—24no—
102#13063245—24no—
103C43⋊#95—22no—
104C43⋊#95—22no—
105C22×D4×C43C2311yescharacteristic
106C23×C4×C43—21no—
107C22×C8×C43C2312yes—
108C4×D4×C43—22no—
109C4×D4×C43C2×C414yes—
110C2×C4⋊C4×C43—21no—
111C2×C4⋊C4×C43—21no—
112C2×C4⋊C4×C43C2312yes—
113C2×C4⋊C4×C43C2311yescharacteristic
114C2×C22⋊C4×C43—21no—
115C2×C42×C43C2311yescharacteristic
116C4⋊C8×C43—22no—
117#102×C43—24no—
118C24×C43—21no—
119C23×D43—21no—
120C23×D43—24no—
121C23×D43—24no—
122C23×D43—24no—
123C23×D43—42no—
124C23×D43—42no—
125C23×D43—42no—
126C23×D43—42no—
127C23×D43C2×D411yescharacteristic
128C2×D4×C43—21no—
129C2×D4×C43—21no—
130C2×D4×C43—21no—
131C2×D4×C43C22×C412yes—
132C2×D4×C43C2×D412yes—
133C2×D4×C43C2×Q812yes—
134C22×C4×C43—24no—
135C22×C4×C43—21no—
136C22×C4×C43—22no—
137C22×C4×C43—42no—
138C22×C4×C43—42no—
139C22×C4×C43C2×D411yescharacteristic
140C22×C4×C43C2×D411yescharacteristic
141C22×C4×C43C2411yescharacteristic
142C2×C22⋊D43—24no—
143C2×C22⋊D43—24no—
144C2×C22⋊D43—24no—
145C22×Dic43—24no—
146C22×Dic43—21no—
147C22×Dic43—22no—
148C22×Dic43—42no—
149C22×Dic43—42no—
150C22×Dic43C2×D411yescharacteristic
151C22×Dic43C2×D411yescharacteristic
152C22×Dic43C2×D411yescharacteristic
153D4×D43—28no—
154D4×D43—28no—
155D4×D43—28no—
156D4×D43C4⋊C4116yescomplemented
157C2×D172—21no—
158C2×D172—21no—
159C2×D172—21no—
160C2×D172C22×C412yes—
161C2×D172C2×D412yes—
162C2×D172C2×Q812yes—
163C2×C4×D43—22no—
164C2×C4×D43—22no—
165C2×C4×D43—24no—
166C2×C4×D43—24no—
167C2×C4×D43—24no—
168C2×C4×D43—41no—
169C2×C4×D43—41no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—432no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43C22⋊C414yes—
178C2×C4×D43C22⋊C414yes—
179C2×C4×D43C22×C412yes—
180C2×C4×D43C2×D412yes—
181C2×C4×D43C2×D412yes—
182C2×C4×D43C2×Q812yes—
183C2×C4×D43#4112yes—
184C2×C4×D43#4112yes—
185C2×C8×C43—22no—
186C2×C8×C43—22no—
187C2×C8×C43—22no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—22no—
190C4⋊C4×C43—22no—
191C4⋊C4×C43—42no—
192C4⋊C4×C43—42no—
193C4⋊C4×C43C22×C412yes—
194C22⋊C4×C43—24no—
195C42×C43C22×C412yes—
196C42×C43C2×D412yes—
197C22⋊Dic43—24no—
198(C2×D43)⋊C4—24no—
199(C2×D43)⋊C4—24no—
200(C2×D43)⋊C4—44no—
201C4⋊Dic43—21no—
202C4⋊Dic43—22no—
203C4⋊Dic43—22no—
204C4⋊Dic43—42no—
205C4⋊Dic43—42no—
206C4⋊Dic43C22×C412yes—
207Dic43⋊C4—24no—
208C4×Dic43—44no—
209C4×Dic43C22⋊C414yes—
210C4×Dic43C22⋊C414yes—
211C4×Dic43C22×C412yes—
212C4×Dic43C2×D412yes—
213C2×C43⋊C8—22no—
214C2×C43⋊C8—22no—
215C2×C43⋊C8—22no—
216#10621872—48no—
217C23×C43—22no—
218C23×C43—22no—
219C23×C43—22no—
220C23×C43—41no—
221C23×C43—41no—
222C23×C43—41no—
223C23×C43—41no—
224C23×C43C22×D411yescharacteristic
225C22×D43—21no—
226C22×D43—21no—
227C22×D43—21no—
228C22×D43—21no—
229C22×D43—22no—
230C22×D43—22no—
231C22×D43—22no—
232C22×D43—216no—
233C22×D43—48no—
234C22×D43—48no—
235C22×D43—48no—
236C22×D43—48no—
237C22×D43—48no—
238C22×D43—48no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43C2×C22⋊C412yes—
244C22×D43#12112yes—
245C22×D43C22⋊Q812yes—
246D4×C43—22no—
247D4×C43—22no—
248D4×C43—22no—
249D4×C43C2×C4⋊C414yes—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—22no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—48no—
256C2×C4×C43—42no—
257C2×C4×C43—42no—
258C2×C4×C43—42no—
259C2×C4×C43C2×C22⋊C412yes—
260C2×C4×C43C2×C22⋊C412yes—
261C2×C4×C43AGL(1,ℤ/8)12yes—
262C2×C4×C43AGL(1,ℤ/8)12yes—
263C2×C4×C43C23×C411yescharacteristic
264C2×C4×C43C22×D411yescharacteristic
265C2×C4×C43C22×D411yescharacteristic
266C2×C4×C43C22×Q811yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C22⋊D43—216no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—22no—
275C2×Dic43—48no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—42no—
279C2×Dic43—42no—
280C2×Dic43—42no—
281C2×Dic43C2×C22⋊C412yes—
282C2×Dic43C2×C22⋊C412yes—
283C2×Dic43C2×C22⋊C412yes—
284C2×Dic43#12112yes—
285C2×Dic43C22⋊Q812yes—
286D172—22no—
287D172—22no—
288D172—22no—
289D172C2×C4⋊C414yes—
290C4×D43—28no—
291C4×D43—44no—
292C4×D43—48no—
293C4×D43—48no—
294C4×D43—48no—
295C4×D43C2×C4⋊C414yes—
296C4×D43#11714yes—
297C4×D43#12114yes—
298C4×D43C22⋊Q814yes—
299C8×C43—42no—
300C43⋊C8—42no—
301#20646—431nomaximal, Sylow
302C22×C43—24no—
303C22×C43—42no—
304C22×C43—42no—
305C22×C43—42no—
306C22×C43—42no—
307C22×C43—42no—
308C22×C43—42no—
309C22×C43C22×C22⋊C411yescharacteristic
310C22×C43C2×#12111yescharacteristic
311C22×C43C2×C22⋊Q811yescharacteristic
312C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C43#57511yescharacteristic
315C22×C43#57511yescharacteristic
316C2×D43—22no—
317C2×D43—22no—
318C2×D43—22no—
319C2×D43—22no—
320C2×D43—22no—
321C2×D43—22no—
322C2×D43—24no—
323C2×D43—432no—
324C2×D43—42no—
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—42no—
329C2×D43—42no—
330C2×D43#38014yes—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—82no—
334C4×C43#41814yescomplemented
335C4×C43C22×C4⋊C411yescharacteristic
336C4×C43C2×#11711yescharacteristic
337C4×C43C2×#12111yescharacteristic
338C4×C43C2×C22⋊Q811yescharacteristic
339Dic43—22no—
340Dic43—22no—
341Dic43—42no—
342Dic43—82no—
343Dic43#38014yes—
344C22×C4×D4—431no—
345C2×#423—431no—
346C2×#418—432no—
347#2285—431no—
348#1804—432no—
349#1804—432no—
350#1802—431no—
351#1802—431no—
352#1802—431no—
353#1802D4311yescharacteristic, complemented
354#1736—432no—
355C2×C43—44no—
356C2×C43C2×#38011yescharacteristic
357C2×C43C2×#41811yescharacteristic
358C2×C43#289611yescharacteristic
359C2×C43#303611yescharacteristic
360C2×C43#303611yescharacteristic
361C2×C43#307711yescharacteristic
362C2×C43#307711yescharacteristic
363D43—24no—
364D43—44no—
365C23×D4—431no—
366C24×C4—861no—
367C22×M16—432no—
368C2×C4×D4—431no—
369C2×C4×D4—438no—
370C2×C4×D4—431no—
371C2×C4×D4—431no—
372C2×C4×D4—861no—
373C2×C4×D4—864no—
374C2×C4×D4—861no—
375C2×C4×D4C2×D4311yescharacteristic
376C2×#117—432no—
377C22×C4⋊C4—431no—
378C22×C22⋊C4—861no—
379C22×C42—431no—
380#423—864no—
381C2×C4⋊C8—432no—
382C2×C4⋊C8—431no—
383C2×C4⋊C8C2×D4311yescharacteristic, complemented
384#418—868no—
385C2×#102—432no—
386C2×#102—432no—
387C2×#102—432no—
388C2×#102C2×D4312yes—
389#384—431no—
390#384C2×D4311yescharacteristic, complemented
391#382—432no—
392#380—861no—
393#380—861no—
394C4×C4⋊C4—861no—
395C4×C4⋊C4—861no—
396#340—432no—
397#340—432no—
398#340—432no—
399#340C2×D4312yescomplemented
400C43#2064611yescharacteristic, complemented, Sylow
401C25—861no—
402C22×D4—434no—
403C22×D4—434no—
404C22×D4—434no—
405C22×D4—431no—
406C22×D4—862no—
407C22×D4—862no—
408C22×D4—862no—
409C22×D4—861no—
410C22×D4C22×D4311yescharacteristic
411C23×C4—21no—
412C23×C4—431no—
413C23×C4—431no—
414C23×C4—431no—
415C23×C4—861no—
416C23×C4—868no—
417C23×C4—861no—
418C23×C4—861no—
419C23×C4—861no—
420C23×C4—1724no—
421C23×C4—1724no—
422C2×M16—864no—
423C2×M16—864no—
424C2×M16—864no—
425C22×C8—432no—
426C22×C8C22×D4312yes—
427C4×D4—22no—
428C4×D4—434no—
429C4×D4—434no—
430C4×D4—434no—
431C4×D4—868no—
432C4×D4—862no—
433C4×D4—868no—
434C4×D4—862no—
435C4×D4—862no—
436C4×D4C4×D4314yes—
437#117—864no—
438#117—864no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—434no—
443C2×C4⋊C4—432no—
444C2×C4⋊C4—862no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4C22×D4312yes—
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—868no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—862no—
456C2×C42—431no—
457C2×C42—431no—
458C2×C42—431no—
459C2×C42—434no—
460C2×C42—434no—
461C2×C42—862no—
462C2×C42C22×D4311yescharacteristic
463C4⋊C8—22no—
464C4⋊C8—864no—
465C4⋊C8—862no—
466#102—24no—
467#102—864no—
468#102—864no—
469#102—864no—
470#95—862no—
471#95—862no—
472C24—21no—
473C24—431no—
474C24—864no—
475C24—864no—
476C24—864no—
477C24—861no—
478C24—1722no—
479C24—1722no—
480C24—1722no—
481C24—1722no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—4316no—
486C2×D4—432no—
487C2×D4—432no—
488C2×D4—432no—
489C2×D4—868no—
490C2×D4—868no—
491C2×D4—868no—
492C2×D4—864no—
493C2×D4—864no—
494C2×D4—864no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4C2×C4×D4312yes—
499C2×D4D4×D4312yes—
500C2×D4Q8×D4312yes—
501C22×C4—21no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—431no—
507C22×C4—432no—
508C22×C4—432no—
509C22×C4—432no—
510C22×C4—432no—
511C22×C4—432no—
512C22×C4—432no—
513C22×C4—431no—
514C22×C4—431no—
515C22×C4—434no—
516C22×C4—434no—
517C22×C4—864no—
518C22×C4—864no—
519C22×C4—864no—
520C22×C4—862no—
521C22×C4—862no—
522C22×C4—861no—
523C22×C4—864no—
524C22×C4—862no—
525C22×C4—1721no—
526C22×C4—1721no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—17232no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4—1722no—
535C22×C4—1722no—
536C22×C4D4×D4311yescharacteristic
537C22×C4D4×D4311yescharacteristic
538C22×C4C23×D4311yescharacteristic
539M16—1728no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—862no—
544C2×C8—862no—
545C2×C8—862no—
546C4⋊C4—21no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—432no—
552C4⋊C4—864no—
553C4⋊C4—861no—
554C4⋊C4—862no—
555C4⋊C4—862no—
556C4⋊C4—1722no—
557C4⋊C4—1722no—
558C4⋊C4C2×C4×D4312yes—
559C22⋊C4—24no—
560C22⋊C4—864no—
561C22⋊C4—864no—
562C22⋊C4—864no—
563C22⋊C4—1724no—
564C42—434no—
565C42—434no—
566C42—432no—
567C42—432no—
568C42—1724no—
569C42C2×C4×D4312yes—
570C42D4×D4312yes—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—432no—
579C23—432no—
580C23—432no—
581C23—8616no—
582C23—861no—
583C23—861no—
584C23—861no—
585C23—861no—
586C23—862no—
587C23—862no—
588C23—862no—
589C23—1728no—
590C23—1728no—
591C23—1728no—
592C23—1728no—
593C23—1728no—
594C23—1728no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23—1721no—
599C23C2×D4×D4311yescharacteristic
600D4—22no—
601D4—22no—
602D4—22no—
603D4—434no—
604D4—8616no—
605D4—862no—
606D4—862no—
607D4—862no—
608D4C4⋊C4×D4314yes—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—48no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—432no—
619C2×C4—432no—
620C2×C4—432no—
621C2×C4—434no—
622C2×C4—434no—
623C2×C4—434no—
624C2×C4—434no—
625C2×C4—432no—
626C2×C4—432no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—868no—
632C2×C4—862no—
633C2×C4—1724no—
634C2×C4—1728no—
635C2×C4—1728no—
636C2×C4—1728no—
637C2×C4—1722no—
638C2×C4—1722no—
639C2×C4—1722no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1728no—
643C2×C4C22⋊C4×D4312yes—
644C2×C4C22⋊C4×D4312yes—
645C2×C4#1306334912yes—
646C2×C4#1306335212yes—
647C2×C4C22×C4×D4311yescharacteristic
648C2×C4C2×D4×D4311yescharacteristic
649C2×C4C2×D4×D4311yescharacteristic
650C2×C4C2×Q8×D4311yescharacteristic
651C2×C4#41×D4311yescharacteristic
652C2×C4#41×D4311yescharacteristic
653C8—42no—
654C8—1722no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—434no—
663C22—862no—
664C22—862no—
665C22—862no—
666C22—862no—
667C22—862no—
668C22—862no—
669C22—864no—
670C22—17232no—
671C22—1722no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22—1722no—
676C22—1722no—
677C22C2×C22⋊C4×D4311yescharacteristic
678C22#121×D4311yescharacteristic
679C22C22⋊Q8×D4311yescharacteristic
680C22C2×#1306334911yescharacteristic
681C22C2×#1306335211yescharacteristic
682C22#1458369511yescharacteristic
683C22#1458369811yescharacteristic
684C4—22no—
685C4—42no—
686C4—82no—
687C4—434no—
688C4—862no—
689C4—862no—
690C4—3442no—
691C4—1722no—
692C4#1458290214yescomplemented
693C4C2×C4⋊C4×D4311yescharacteristic
694C4#117×D4311yescharacteristic
695C4#121×D4311yescharacteristic
696C4C22⋊Q8×D4311yescharacteristic
697C2—44no—
698C2—864no—
699C2—1724no—
700C2#380×D4311yescharacteristic
701C2C2×#1458290211yescharacteristic
702C2#1914311111yescharacteristic
703C2#1914405411yescharacteristic
704C2#1914406011yescharacteristic
705C2#1914438711yescharacteristic
706C2#1914439311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1802C2
socleC23×C43C22×D4
prime radicalC22×D4×D43C22
cosocleC22×C4×C43C24
hypercenter#1802D43
hypocenterC43#20646
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
2. C2×#14582921C2semidirect
4. #19137000C2semidirect
5. #19134604C2semidirect
6. #19134603C2semidirect
7. #19134596C2semidirect
8. #19134595C2semidirect
9. #19134592C2semidirect
10. #19134313C2semidirect
11. C43×#1802C2semidirect
21. C4×D4×D43C4semidirect
27. C2×C4⋊(C43⋊C8)C22semidirect
28. C2×Dic43⋊C8C22semidirect
33. #14582769C22semidirect
34. #14582764C22semidirect
39. #14582662C22semidirect
40. #14582661C22semidirect
41. #14582661C22semidirect
43. C2×C4⋊C8×C43C22semidirect
45. C43×#384C22semidirect
46. C43×#340C22semidirect
156. D4×D43C4⋊C4semidirect
334. C4×C43#418semidirect
353. #1802D43semidirect
383. C2×C4⋊C8C2×D43semidirect
390. #384C2×D43semidirect
399. #340C2×D43semidirect
400. C43#20646semidirect
692. C4#14582902semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D432
C2×#145829212
C2×#145829022
#191370002
#191346042
#191346032
#191345962
#191345952
#191345922
#191343132
C43×#18022
#2064643