Finite Group Databasebeta

← C2×#19135596 #25123385

Subgroups — C2×#19135596 #25123385

Order 11008.

2526 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#10621884C211yesmaximal, characteristic, complemented
2C22×#13063299C211yesmaximal, characteristic
3C22×#13063249C211yesmaximal, characteristic, complemented
4C22×#13063245C211yesmaximal, characteristic, complemented
5C22×C22⋊(C43⋊C8)C211yesmaximal, characteristic, complemented
6#19135596C218yesmaximal, direct product factor
7C2×#14582661C211yesmaximal, characteristic, complemented
8C22×C22⋊Q8×C43C211yesmaximal, characteristic, complemented
9C23×D172C2211yescharacteristic
10C23×C22⋊D43—21no—
11C22×#10621884—24no—
12C22×#10621884—24no—
13C22×#10621884—24no—
14C22×#10621884C2214yescomplemented
15C23×C43⋊C8C2211yescharacteristic
16C23×C43⋊C8C2211yescharacteristic
17C2×#13063299—24no—
18C2×#13063299—24no—
19C2×#13063299—22no—
20C2×#13063299C2214yes—
21C22×C4⋊Dic43C2211yescharacteristic
22C22×(C2×D43)⋊C4—21no—
23C2×#13063249—24no—
24C2×#13063249C2214yescomplemented
25C2×#13063245—24no—
26C2×#13063245C2214yescomplemented
27C2×C22⋊(C43⋊C8)—24no—
28C2×C22⋊(C43⋊C8)C2214yescomplemented
29#14582661C2214yescomplemented
30C23×Q8×C43C2211yescharacteristic
31C24×C4×C43C2211yescharacteristic
32C2×C22⋊Q8×C43—24no—
33C2×C22⋊Q8×C43—22no—
34C2×C22⋊Q8×C43—24no—
35C2×C22⋊Q8×C43C2214yescomplemented
36C22×C4⋊C4×C43—21no—
37C22×C4⋊C4×C43C2211yescharacteristic
38C22×C22⋊C4×C43—21no—
39C24×D43—21no—
40C22×D172—22no—
41C22×D172—22no—
42C22×D172—22no—
43C22×D172—22no—
44C22×D172—22no—
45C22×D172—21no—
46C22×D172D414yes—
47C22×D172C2312yes—
48C22×C22⋊D43—28no—
49C22×C22⋊D43—24no—
50C22×C22⋊D43—44no—
51C22×C22⋊D43—44no—
52C23×Dic43—21no—
53C2×#10621884—232no—
54C2×#10621884—28no—
55C2×#10621884—28no—
56C2×#10621884—28no—
57C22×C43⋊C8—22no—
58C22×C43⋊C8—22no—
59C22×C43⋊C8—22no—
60C22×C43⋊C8—22no—
61C22×C43⋊C8—22no—
62C22×C43⋊C8D414yescomplemented
63C22×C43⋊C8C2312yes—
64C22×C43⋊C8C2312yes—
65#13063299—216no—
66#13063299—28no—
67#13063299—28no—
68C2×C4⋊Dic43—22no—
69C2×C4⋊Dic43—21no—
70C2×C4⋊Dic43D414yes—
71C2×C4⋊Dic43C2312yes—
72C2×(C2×D43)⋊C4—28no—
73C2×(C2×D43)⋊C4—24no—
74#13063249—28no—
75#13063245—28no—
76C22⋊(C43⋊C8)—28no—
77C25×C43D411yescharacteristic
78C22×Q8×C43—22no—
79C22×Q8×C43—21no—
80C22×Q8×C43—22no—
81C22×Q8×C43—22no—
82C22×Q8×C43—22no—
83C22×Q8×C43—22no—
84C22×Q8×C43D414yescomplemented
85C22×Q8×C43C2312yes—
86C23×C4×C43—21no—
87C23×C4×C43—21no—
88C23×C4×C43—22no—
89C23×C4×C43—22no—
90C23×C4×C43—22no—
91C23×C4×C43—22no—
92C23×C4×C43—22no—
93C23×C4×C43—22no—
94C23×C4×C43D411yescharacteristic
95C23×C4×C43D412yes—
96C23×C4×C43C2312yes—
97C23×C4×C43C2311yescharacteristic
98C22⋊Q8×C43—216no—
99C22⋊Q8×C43—28no—
100C22⋊Q8×C43—28no—
101C2×C4⋊C4×C43—28no—
102C2×C4⋊C4×C43—24no—
103C2×C4⋊C4×C43—21no—
104C2×C4⋊C4×C43—22no—
105C2×C4⋊C4×C43D414yescomplemented
106C2×C4⋊C4×C43C2312yes—
107C2×C22⋊C4×C43—28no—
108C2×C22⋊C4×C43—24no—
109C24×C43—22no—
110C24×C43—22no—
111C24×C43—22no—
112C24×C43—22no—
113C24×C43—22no—
114C24×C43—22no—
115C24×C43SD1614yescomplemented
116C24×C43C2×D412yes—
117C24×C43C2×D411yescharacteristic
118C23×D43—24no—
119C23×D43—22no—
120C23×D43—42no—
121C23×D43—42no—
122C23×D43—42no—
123C23×D43—42no—
124C23×D43—42no—
125C23×D43—42no—
126C2×Q8×C43—24no—
127C2×Q8×C43—22no—
128C2×Q8×C43—28no—
129C2×Q8×C43—28no—
130C2×Q8×C43—22no—
131C2×Q8×C43—22no—
132C2×Q8×C43—22no—
133C2×Q8×C43—22no—
134C2×Q8×C43—42no—
135C2×Q8×C43—44no—
136C2×Q8×C43—42no—
137C2×Q8×C43—44no—
138C2×Q8×C43C2×D414yescomplemented
139C22×C4×C43—24no—
140C22×C4×C43—24no—
141C22×C4×C43—24no—
142C22×C4×C43—22no—
143C22×C4×C43—22no—
144C22×C4×C43—22no—
145C22×C4×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—22no—
148C22×C4×C43—24no—
149C22×C4×C43—24no—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—44no—
156C22×C4×C43—44no—
157C22×C4×C43—44no—
158C22×C4×C43—44no—
159C22×C4×C43—42no—
160C22×C4×C43—42no—
161C22×C4×C43—42no—
162C22×C4×C43—42no—
163C22×C4×C43C2×D412yes—
164C22×C4×C43C2×D412yes—
165C22×C4×C43C2×D412yes—
166C22×C4×C43C2×D412yes—
167C22×C4×C43C2×D412yes—
168C22×C4×C43C2×D412yes—
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43#4112yes—
171C22×C4×C43C2411yescharacteristic
172C2×C22⋊D43—216no—
173C2×C22⋊D43—48no—
174C2×C22⋊D43—432no—
175C2×C22⋊D43—48no—
176C22×Dic43—24no—
177C22×Dic43—22no—
178C22×Dic43—42no—
179C22×Dic43—42no—
180C2×D172—24no—
181C2×D172—22no—
182C2×D172—28no—
183C2×D172—28no—
184C2×D172—22no—
185C2×D172—22no—
186C2×D172—22no—
187C2×D172—22no—
188C2×D172—42no—
189C2×D172—42no—
190C2×D172—44no—
191C2×D172—44no—
192C2×D172C2×D414yes—
193C4⋊C4×C43—216no—
194C4⋊C4×C43—24no—
195C4⋊C4×C43—22no—
196C4⋊C4×C43C2×D414yescomplemented
197C22⋊C4×C43—216no—
198#10621884—232no—
199(C2×D43)⋊C4—216no—
200C4⋊Dic43—24no—
201C4⋊Dic43—22no—
202C4⋊Dic43C2×D414yes—
203C2×C43⋊C8—28no—
204C2×C43⋊C8—22no—
205C2×C43⋊C8—22no—
206C2×C43⋊C8—22no—
207C2×C43⋊C8—22no—
208C2×C43⋊C8—22no—
209C2×C43⋊C8—44no—
210C2×C43⋊C8C2×D414yescomplemented
211C23×C43—22no—
212C23×C43—22no—
213C23×C43—22no—
214C23×C43—22no—
215C23×C43—22no—
216C23×C43—22no—
217C23×C43—28no—
218C23×C43—28no—
219C23×C43—28no—
220C23×C43—44no—
221C23×C43—44no—
222C23×C43—44no—
223C23×C43—44no—
224C23×C43#12012yes—
225C23×C43#12012yes—
226C23×C43#12112yes—
227C23×C43C2×SD1612yes—
228C23×C43C2×SD1614yescomplemented
229C23×C43#13512yes—
230C23×C43AGL(1,ℤ/8)12yes—
231C23×C43#13712yes—
232C23×C43C22×D411yescharacteristic
233C22×D43—24no—
234C22×D43—42no—
235C22×D43—42no—
236C22×D43—42no—
237C22×D43—42no—
238C22×D43—42no—
239C22×D43—42no—
240C22×D43—48no—
241C22×D43—48no—
242C22×D43—48no—
243C22×D43—84no—
244C22×D43—84no—
245C22×D43—84no—
246C22×D43—84no—
247Q8×C43—24no—
248Q8×C43—24no—
249Q8×C43—42no—
250Q8×C43—42no—
251Q8×C43—48no—
252C2×C4×C43—22no—
253C2×C4×C43—24no—
254C2×C4×C43—24no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—42no—
258C2×C4×C43—42no—
259C2×C4×C43—42no—
260C2×C4×C43—42no—
261C2×C4×C43—44no—
262C2×C4×C43—48no—
263C2×C4×C43—48no—
264C2×C4×C43—42no—
265C2×C4×C43—42no—
266C2×C4×C43—42no—
267C2×C4×C43—42no—
268C2×C4×C43—48no—
269C2×C4×C43#12014yes—
270C2×C4×C43#12012yes—
271C2×C4×C43#12012yes—
272C2×C4×C43#12114yes—
273C2×C4×C43#12114yes—
274C2×C4×C43#12112yes—
275C2×C4×C43#12714yes—
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C22⋊D43—432no—
283C2×Dic43—24no—
284C2×Dic43—42no—
285C2×Dic43—42no—
286C2×Dic43—48no—
287D172—24no—
288D172—24no—
289D172—42no—
290D172—42no—
291D172—48no—
292C43⋊C8—24no—
293C43⋊C8—42no—
294C2×#2000—431nomaximal, Sylow
295C22×C43—24no—
296C22×C43—24no—
297C22×C43—24no—
298C22×C43—42no—
299C22×C43—42no—
300C22×C43—42no—
301C22×C43—416no—
302C22×C43—42no—
303C22×C43#39214yes—
304C22×C43#44814yes—
305C22×C43#44914yes—
306C22×C43#45014yes—
307C22×C43#45214yes—
308C22×C43#46514yes—
309C22×C43#46814yes—
310C22×C43C2×#12011yescharacteristic
311C22×C43C2×#12011yescharacteristic
312C22×C43C2×#12111yescharacteristic
313C22×C43C22×SD1611yescharacteristic
314C22×C43C2×#13511yescharacteristic
315C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C43C2×#13711yescharacteristic
317C2×D43—44no—
318C2×D43—44no—
319C2×D43—44no—
320C2×D43—82no—
321C2×D43—82no—
322C2×D43—816no—
323C2×D43—82no—
324C2×D43—82no—
325C4×C43—42no—
326C4×C43—44no—
327C4×C43—44no—
328C4×C43#39214yes—
329C4×C43C2×#12011yescharacteristic
330C4×C43C2×#12111yescharacteristic
331C4×C43C2×#12111yescharacteristic
332C4×C43C2×#12711yescharacteristic
333Dic43—44no—
334C23×SD16—431no—
335C22×C22⋊Q8D4311yescharacteristic, complemented
336C22×#121—431no—
337C22×#103—431no—
338C22×#102—431no—
339C22×C22⋊C8—431no—
340#2000—438no—
341C2×#340—431no—
342C2×C43—44no—
343C2×C43#200018yescomplemented
344C2×C43C2×#39211yescharacteristic
345C2×C43C2×#45011yescharacteristic
346C2×C43C2×#44811yescharacteristic
347C2×C43C2×#44911yescharacteristic
348C2×C43C2×#45211yescharacteristic
349C2×C43C2×#46511yescharacteristic
350C2×C43C2×#46811yescharacteristic
351D43—84no—
352C23×Q8C2×D4311yescharacteristic
353C23×D4—431no—
354C23×D4—861no—
355C24×C4C2×D4311yescharacteristic
356C22×SD16—434no—
357C22×SD16—864no—
358C22×SD16—864no—
359C22×SD16—864no—
360C23×C8—431no—
361C23×C8—431no—
362C2×C22⋊Q8—24no—
363C2×C22⋊Q8—22no—
364C2×C22⋊Q8—24no—
365C2×C22⋊Q8C2×D4314yescomplemented
366C2×#121—434no—
367C2×#121—864no—
368C2×#121—864no—
369C2×#121—862no—
370C22×C4⋊C4—21no—
371C22×C4⋊C4—431no—
372C22×C4⋊C4C2×D4311yescharacteristic
373C22×C22⋊C4—21no—
374C22×C22⋊C4—861no—
375C2×#103—434no—
376C2×#103—864no—
377C2×#102—434no—
378C2×#102—864no—
379C2×C22⋊C8—434no—
380C2×C22⋊C8—864no—
381#340—434no—
382C43C2×#200011yescharacteristic, complemented, Sylow
383C25—861no—
384C25C22⋊D4311yescharacteristic
385C22×Q8—22no—
386C22×Q8—21no—
387C22×Q8—22no—
388C22×Q8—22no—
389C22×Q8—22no—
390C22×Q8—22no—
391C22×Q8C22⋊D4314yescomplemented
392C22×Q8C22×D4312yes—
393C22×D4—434no—
394C22×D4—432no—
395C22×D4—868no—
396C22×D4—864no—
397C22×D4—862no—
398C22×D4—862no—
399C22×D4—862no—
400C22×D4—862no—
401C22×D4—862no—
402C22×D4—861no—
403C22×D4—1724no—
404C22×D4—1724no—
405C23×C4—21no—
406C23×C4—21no—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—22no—
410C23×C4—22no—
411C23×C4—22no—
412C23×C4—22no—
413C23×C4—861no—
414C23×C4C22⋊D4312yes—
415C23×C4C22⋊D4311yescharacteristic
416C23×C4C22×D4312yes—
417C23×C4C22×D4311yescharacteristic
418C2×SD16—868no—
419C2×SD16—868no—
420C2×SD16—8632no—
421C2×SD16—868no—
422C22×C8—434no—
423C22×C8—432no—
424C22×C8—432no—
425C22×C8—862no—
426C22×C8—862no—
427C22×C8—862no—
428C22×C8—862no—
429C22×C8—862no—
430C22⋊Q8—216no—
431C22⋊Q8—28no—
432C22⋊Q8—28no—
433#121—868no—
434#121—868no—
435#121—8616no—
436C2×C4⋊C4—28no—
437C2×C4⋊C4—24no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—434no—
441C2×C4⋊C4—432no—
442C2×C4⋊C4—862no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4C22⋊D4314yescomplemented
445C2×C4⋊C4C22×D4312yes—
446C2×C22⋊C4—28no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—868no—
449C2×C22⋊C4—864no—
450#103—868no—
451#102—868no—
452C22⋊C8—868no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—864no—
460C24—862no—
461C24—1722no—
462C24—1722no—
463C24—1722no—
464C24—1722no—
465C24—1722no—
466C24—1722no—
467C24#1062188414yescomplemented
468C24C2×C22⋊D4312yes—
469C24C2×C22⋊D4311yescharacteristic
470C2×Q8—24no—
471C2×Q8—22no—
472C2×Q8—28no—
473C2×Q8—28no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—22no—
478C2×Q8—42no—
479C2×Q8—44no—
480C2×Q8—42no—
481C2×Q8—44no—
482C2×Q8C2×C22⋊D4314yescomplemented
483C2×D4—434no—
484C2×D4—8616no—
485C2×D4—868no—
486C2×D4—864no—
487C2×D4—868no—
488C2×D4—862no—
489C2×D4—862no—
490C2×D4—862no—
491C2×D4—862no—
492C2×D4—862no—
493C2×D4—17232no—
494C2×D4—1728no—
495C2×D4—1728no—
496C2×D4—1722no—
497C2×D4—1722no—
498C2×D4—1724no—
499C2×D4—1724no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—864no—
525C22×C4—862no—
526C22×C4—1722no—
527C22×C4—1722no—
528C22×C4D4×D4312yes—
529C22×C4D4×D4312yes—
530C22×C4D4×D4312yes—
531C22×C4#1062190012yes—
532C22×C4C2×C22⋊D4312yes—
533C22×C4C2×C22⋊D4311yescharacteristic
534C22×C4C2×C22⋊D4312yes—
535C22×C4C2×C22⋊D4312yes—
536C22×C4C23×D4311yescharacteristic
537SD16—8632no—
538C2×C8—434no—
539C2×C8—868no—
540C2×C8—862no—
541C2×C8—862no—
542C2×C8—862no—
543C2×C8—862no—
544C2×C8—862no—
545C2×C8—1724no—
546C4⋊C4—216no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—434no—
550C4⋊C4—864no—
551C4⋊C4—862no—
552C4⋊C4C2×C22⋊D4314yescomplemented
553C22⋊C4—216no—
554C22⋊C4—8616no—
555C23—28no—
556C23—22no—
557C23—22no—
558C23—28no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—28no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—864no—
569C23—3444no—
570C23—3444no—
571C23—3444no—
572C23—3444no—
573C23—1728no—
574C23—1728no—
575C23—1728no—
576C23—1722no—
577C23—1722no—
578C23—1722no—
579C23—1722no—
580C23—1722no—
581C23—1722no—
582C23#1306329312yes—
583C23#1306329412yes—
584C23#1306329712yes—
585C23C2×#1062188412yes—
586C23C2×#1062188414yescomplemented
587C23#1306334512yes—
588C23#1306335012yes—
589C23#1306335612yes—
590C23C22×C22⋊D4311yescharacteristic
591Q8—24no—
592Q8—24no—
593Q8—48no—
594Q8—42no—
595Q8—42no—
596D4—864no—
597D4—864no—
598D4—17232no—
599D4—1728no—
600D4—1722no—
601D4—1722no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—48no—
608C2×C4—44no—
609C2×C4—48no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—48no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—864no—
620C2×C4—1728no—
621C2×C4—1722no—
622C2×C4—1722no—
623C2×C4#1306329312yes—
624C2×C4#1306329314yes—
625C2×C4#1306329412yes—
626C2×C4#1306329614yes—
627C2×C4#1306329712yes—
628C2×C4#1306329714yes—
629C2×C4#1306332114yes—
630C2×C4C2×D4×D4311yescharacteristic
631C2×C4C2×D4×D4311yescharacteristic
632C2×C4C2×D4×D4311yescharacteristic
633C2×C4C22×C22⋊D4311yescharacteristic
634C2×C4C22×C22⋊D4311yescharacteristic
635C2×C4C2×#1062190011yescharacteristic
636C8—864no—
637C8—1722no—
638C22—24no—
639C22—24no—
640C22—24no—
641C22—416no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—3442no—
647C22—34416no—
648C22—3442no—
649C22—3442no—
650C22—3442no—
651C22—1724no—
652C22—1724no—
653C22—1724no—
654C22#1458280714yes—
655C22#1458303814yes—
656C22#1458304414yes—
657C22#1458304914yes—
658C22#1458305914yes—
659C22#1458313014yes—
660C22#1458314714yes—
661C22C2×#1306329311yescharacteristic
662C22C2×#1306329411yescharacteristic
663C22C2×#1306329711yescharacteristic
664C22C22×#1062188411yescharacteristic
665C22C2×#1306334511yescharacteristic
666C22C2×#1306335011yescharacteristic
667C22C2×#1306335611yescharacteristic
668C4—44no—
669C4—42no—
670C4—44no—
671C4—1724no—
672C4#1458280714yes—
673C4C2×#1306329311yescharacteristic
674C4C2×#1306329611yescharacteristic
675C4C2×#1306329711yescharacteristic
676C4C2×#1306332111yescharacteristic
677C2—44no—
678C2—3444no—
679C2#1913559618yesdirect product factor
680C2C2×#1458280711yescharacteristic
681C2C2×#1458304911yescharacteristic
682C2C2×#1458303811yescharacteristic
683C2C2×#1458304411yescharacteristic
684C2C2×#1458305911yescharacteristic
685C2C2×#1458313011yescharacteristic
686C2C2×#1458314711yescharacteristic
subgroupG/H
centerC24C2×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC22×C22⋊Q8×C43C2
socleC24×C43C2×D4
prime radicalC22×#13063299C2
hypercenterC22×C22⋊Q8D43
hypocenterC43C2×#2000
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C24×C4 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C23×#10621884C2semidirect
3. C22×#13063249C2semidirect
4. C22×#13063245C2semidirect
5. C22×C22⋊(C43⋊C8)C2semidirect
6. #19135596C2direct (N × H)
7. C2×#14582661C2semidirect
8. C22×C22⋊Q8×C43C2semidirect
14. C22×#10621884C22semidirect
24. C2×#13063249C22semidirect
26. C2×#13063245C22semidirect
28. C2×C22⋊(C43⋊C8)C22semidirect
29. #14582661C22semidirect
35. C2×C22⋊Q8×C43C22semidirect
62. C22×C43⋊C8D4semidirect
84. C22×Q8×C43D4semidirect
105. C2×C4⋊C4×C43D4semidirect
115. C24×C43SD16semidirect
138. C2×Q8×C43C2×D4semidirect
196. C4⋊C4×C43C2×D4semidirect
210. C2×C43⋊C8C2×D4semidirect
228. C23×C43C2×SD16semidirect
335. C22×C22⋊Q8D43semidirect
343. C2×C43#2000semidirect
365. C2×C22⋊Q8C2×D43semidirect
382. C43C2×#2000semidirect
391. C22×Q8C22⋊D43semidirect
444. C2×C4⋊C4C22⋊D43semidirect
467. C24#10621884semidirect
482. C2×Q8C2×C22⋊D43semidirect
552. C4⋊C4C2×C22⋊D43semidirect
586. C23C2×#10621884semidirect
679. C2#19135596direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#106218842
C22×#130632992
C22×#130632492
C22×#130632452
C22×C22⋊(C43⋊C8)2
#191355962
C2×#145826612
C22×C22⋊Q8×C432
C2×#200043