Finite Group Databasebeta

← #25123437

Subgroups — #25123437

Order 11008.

2514 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063351C211yesmaximal, characteristic, complemented
2C2×#14583410C211yesmaximal, characteristic, complemented
3C2×#14582898C211yesmaximal, characteristic, complemented
4C2×#14582904C211yesmaximal, characteristic, complemented
5C2×#14582863C211yesmaximal, characteristic, complemented
6#19135598C214yesmaximal, complemented
7#19135591C214yesmaximal, complemented
8#19134314C211yesmaximal, characteristic, complemented
9C22×#121×C43C211yesmaximal, characteristic, complemented
10C22×#10621898C2211yescharacteristic
11C2×#13063351—24no—
12C2×#13063351—24no—
13C2×#13063351—24no—
14C22×#10621883C2212yescomplemented
15C22×#10621882C2212yescomplemented
16C22×#10621877C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18#14583410—24no—
19#14583410—24no—
20C2×#13063308—21no—
21C2×#13063304C2212yescomplemented
22C2×#13063299C2212yescomplemented
23C2×#13063294—21no—
24C2×C4×C22⋊D43—22no—
25C2×#13063284C2211yescharacteristic
26#14582904—24no—
27#14582898—24no—
28C2×#13063248C2212yescomplemented
29C2×#13063246C2214yescomplemented
30C2×#13063245C2212yescomplemented
31#14582863—24no—
32C2×C22⋊(C43⋊C8)C2214yescomplemented
33#14582661C2214yescomplemented
34C23×D4×C43—21no—
35C23×D4×C43C2211yescharacteristic
36C24×C4×C43C2211yescharacteristic
37C2×#121×C43—24no—
38C2×#121×C43—22no—
39C2×#121×C43—24no—
40C2×#121×C43C2214yes—
41C22×C4⋊C4×C43C2211yescharacteristic
42C22×C22⋊C4×C43—21no—
43C2×#10621898—22no—
44C2×#10621898—22no—
45C2×#10621898—22no—
46C2×#10621898—22no—
47C2×#10621898—22no—
48C2×#10621898D414yescomplemented
49C22×Dic86C2311yescharacteristic
50C22×D172C2311yescharacteristic
51C22×C22⋊D43—22no—
52C22×C22⋊D43—21no—
53C22×C4×D43—21no—
54#13063351—232no—
55C2×#10621883—24no—
56C2×#10621883—24no—
57C2×#10621883—24no—
58C2×#10621882—24no—
59C2×#10621882—24no—
60C2×#10621882—24no—
61C2×#10621877—22no—
62C2×#10621877—22no—
63C2×#10621877—22no—
64C2×#10621877—22no—
65C2×#10621877—22no—
66C2×#10621877D414yescomplemented
67C22×C43⋊C8C2312yes—
68C22×C43⋊C8C2312yes—
69#13063308—28no—
70#13063304—24no—
71#13063304—24no—
72#13063299—24no—
73#13063299—24no—
74#13063294—28no—
75C4×C22⋊D43—216no—
76#13063284—22no—
77#13063284D414yescomplemented
78C2×C4⋊Dic43C2312yes—
79C2×Dic43⋊C4—22no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—22no—
82C2×(C2×D43)⋊C4—22no—
83C2×C4×Dic43—21no—
84#13063248—24no—
85#13063246—28no—
86#13063245—24no—
87C22⋊(C43⋊C8)—28no—
88C25×C43—21no—
89C25×C43D411yescharacteristic
90C22×D4×C43—28no—
91C22×D4×C43—24no—
92C22×D4×C43—22no—
93C22×D4×C43—22no—
94C22×D4×C43—22no—
95C22×D4×C43—22no—
96C22×D4×C43—21no—
97C22×D4×C43—22no—
98C22×D4×C43—48no—
99C22×D4×C43D414yescomplemented
100C22×D4×C43C2312yes—
101C23×C4×C43—21no—
102C23×C4×C43—22no—
103C23×C4×C43—22no—
104C23×C4×C43—22no—
105C23×C4×C43—22no—
106C23×C4×C43—22no—
107C23×C4×C43—22no—
108C23×C4×C43D411yescharacteristic
109C23×C4×C43D412yes—
110C23×C4×C43C2312yes—
111C23×C4×C43C2311yescharacteristic
112#121×C43—216no—
113#121×C43—28no—
114#121×C43—28no—
115C2×C4⋊C4×C43—21no—
116C2×C4⋊C4×C43—22no—
117C2×C4⋊C4×C43D414yescomplemented
118C2×C4⋊C4×C43C2312yes—
119C2×C22⋊C4×C43—28no—
120C2×C22⋊C4×C43—24no—
121C24×C43—22no—
122C24×C43—24no—
123C24×C43—24no—
124C24×C43—22no—
125C24×C43—22no—
126C24×C43—22no—
127C24×C43—42no—
128C24×C43—44no—
129C24×C43—44no—
130C24×C43—42no—
131C24×C43—42no—
132C24×C43C2×D412yes—
133C24×C43C2×D411yescharacteristic
134C23×D43—21no—
135C2×D4×C43—216no—
136C2×D4×C43—24no—
137C2×D4×C43—22no—
138C2×D4×C43—28no—
139C2×D4×C43—28no—
140C2×D4×C43—22no—
141C2×D4×C43—22no—
142C2×D4×C43—22no—
143C2×D4×C43—22no—
144C2×D4×C43—432no—
145C2×D4×C43—48no—
146C2×D4×C43—42no—
147C2×D4×C43—42no—
148C2×D4×C43—44no—
149C2×D4×C43—44no—
150C2×D4×C43—48no—
151C2×D4×C43C2×D414yes—
152C22×C4×C43—24no—
153C22×C4×C43—24no—
154C22×C4×C43—24no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—22no—
158C22×C4×C43—22no—
159C22×C4×C43—22no—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—24no—
163C22×C4×C43—22no—
164C22×C4×C43—22no—
165C22×C4×C43—22no—
166C22×C4×C43—44no—
167C22×C4×C43—44no—
168C22×C4×C43—44no—
169C22×C4×C43—44no—
170C22×C4×C43—44no—
171C22×C4×C43C2×D412yes—
172C22×C4×C43C2×D412yes—
173C22×C4×C43C2×D412yes—
174C22×C4×C43C2×D412yes—
175C22×C4×C43C2×D412yes—
176C22×C4×C43C2×D412yes—
177C22×C4×C43C2×D411yescharacteristic
178C22×C4×C43#4112yes—
179C22×C4×C43C2411yescharacteristic
180C2×C22⋊D43—28no—
181C2×C22⋊D43—24no—
182C2×C22⋊D43—44no—
183C2×C22⋊D43—42no—
184C2×C22⋊D43—42no—
185C2×C22⋊D43—44no—
186C22×Dic43—22no—
187C22×Dic43—21no—
188#10621898—28no—
189#10621898—28no—
190#10621898—44no—
191#10621898—44no—
192C2×D172—21no—
193C2×D172—21no—
194C2×D172—21no—
195C2×D172—21no—
196C2×D172—21no—
197C2×D172C2×D412yescomplemented
198C2×C4×D43—24no—
199C2×C4×D43—42no—
200C2×C4×D43—42no—
201C2×Dic86—21no—
202C2×Dic86—21no—
203C2×Dic86—21no—
204C2×Dic86—21no—
205C2×Dic86—21no—
206C2×Dic86C2×D412yescomplemented
207C4⋊C4×C43—24no—
208C4⋊C4×C43—22no—
209C4⋊C4×C43C2×D414yes—
210C22⋊C4×C43—216no—
211C22⋊Dic43—28no—
212C22⋊Dic43—24no—
213#10621883—216no—
214#10621882—216no—
215(C2×D43)⋊C4—28no—
216C4⋊Dic43—22no—
217C4⋊Dic43C2×D414yescomplemented
218Dic43⋊C4—28no—
219C4×Dic43—24no—
220#10621877—28no—
221#10621877—44no—
222C2×C43⋊C8—22no—
223C2×C43⋊C8—22no—
224C2×C43⋊C8—22no—
225C2×C43⋊C8—22no—
226C2×C43⋊C8—22no—
227C2×C43⋊C8C2×D414yescomplemented
228C23×C43—22no—
229C23×C43—22no—
230C23×C43—28no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—22no—
236C23×C43—22no—
237C23×C43—24no—
238C23×C43—48no—
239C23×C43—48no—
240C23×C43—44no—
241C23×C43—48no—
242C23×C43—48no—
243C23×C43—44no—
244C23×C43—42no—
245C23×C43—42no—
246C23×C43—44no—
247C23×C43—44no—
248C23×C43—48no—
249C23×C43—88no—
250C23×C43—88no—
251C23×C43#12012yes—
252C23×C43#12012yes—
253C23×C43#12112yes—
254C23×C43AGL(1,ℤ/8)14yescomplemented
255C23×C43C22×D411yescharacteristic
256C22×D43—22no—
257C22×D43—41no—
258C22×D43—41no—
259C22×D43—42no—
260C22×D43—42no—
261D4×C43—24no—
262D4×C43—24no—
263D4×C43—432no—
264D4×C43—42no—
265D4×C43—42no—
266D4×C43—48no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—22no—
271C2×C4×C43—48no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43—48no—
279C2×C4×C43#12014yes—
280C2×C4×C43#12012yes—
281C2×C4×C43#12012yes—
282C2×C4×C43#12114yes—
283C2×C4×C43#12114yes—
284C2×C4×C43#12112yes—
285C2×C4×C43#12714yes—
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C22×D411yescharacteristic
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C43C2×#4111yescharacteristic
292C22⋊D43—416no—
293C22⋊D43—48no—
294C2×Dic43—24no—
295C2×Dic43—22no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300D172—22no—
301D172—22no—
302D172—41no—
303D172—41no—
304C4×D43—48no—
305Dic86—22no—
306Dic86—22no—
307Dic86—41no—
308Dic86—41no—
309C43⋊C8—24no—
310C43⋊C8—42no—
311#23391—431nomaximal, Sylow
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—24no—
315C22×C43—24no—
316C22×C43—24no—
317C22×C43—24no—
318C22×C43—24no—
319C22×C43—416no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—44no—
325C22×C43—44no—
326C22×C43—44no—
327C22×C43—816no—
328C22×C43—84no—
329C22×C43—84no—
330C22×C43#39214yes—
331C22×C43C2×#12011yescharacteristic
332C22×C43C2×#12011yescharacteristic
333C22×C43C2×#12111yescharacteristic
334C22×C43C2×AGL(1,ℤ/8)12yes—
335C22×C43#57512yes—
336C2×D43—42no—
337C2×D43—44no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—82no—
341C4×C43—42no—
342C4×C43—44no—
343C4×C43#39214yes—
344C4×C43C2×#12011yescharacteristic
345C4×C43C2×#12111yescharacteristic
346C4×C43C2×#12111yescharacteristic
347C4×C43C2×#12711yescharacteristic
348Dic43—42no—
349Dic43—44no—
350C22×AGL(1,ℤ/8)—431no—
351C2×#525—431no—
352C22×#121D4311yescharacteristic, complemented
353C2×#417—431no—
354C2×#418—431no—
355C2×#407—431no—
356#2000—434no—
357#1999—434no—
358#1736—431no—
359C2×C43—24no—
360C2×C43—44no—
361C2×C43—84no—
362C2×C43C2×#39211yescharacteristic
363C2×C43#300311yescharacteristic
364C2×C43#300511yescharacteristic
365C2×C43#300612yes—
366C2×C43#305512yes—
367D43—82no—
368C22×#41—431no—
369C23×D4—21no—
370C23×D4C2×D4311yescharacteristic
371C24×C4C2×D4311yescharacteristic
372C2×AGL(1,ℤ/8)—864no—
373C2×AGL(1,ℤ/8)—864no—
374C2×AGL(1,ℤ/8)—864no—
375C22×SD16—432no—
376C22×D8—432no—
377C22×M16—431no—
378C22×M16—431no—
379#525—864no—
380#525—864no—
381C2×#123—861no—
382C2×C22⋊Q8—432no—
383C2×#121—24no—
384C2×#121—22no—
385C2×#121—24no—
386C2×#121—432no—
387C2×#121C2×D4314yes—
388C2×#120—861no—
389C2×C4×D4—862no—
390C2×#117—431no—
391C22×C4⋊C4C2×D4311yescharacteristic
392C22×C22⋊C4—21no—
393#418—864no—
394#417—864no—
395C2×#103—432no—
396C2×#102—434no—
397C2×#102—432no—
398#407—864no—
399C2×C22⋊C8—434no—
400#340—434no—
401C43#2339111yescharacteristic, complemented, Sylow
402C25—21no—
403C25C22⋊D4311yescharacteristic
404C2×#41—434no—
405C2×#41—862no—
406C2×#41—862no—
407C2×#41—862no—
408C2×#41—862no—
409C2×#41—862no—
410C22×Q8—431no—
411C22×D4—28no—
412C22×D4—24no—
413C22×D4—22no—
414C22×D4—22no—
415C22×D4—22no—
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—22no—
419C22×D4—48no—
420C22×D4—431no—
421C22×D4—862no—
422C22×D4—861no—
423C22×D4C22⋊D4314yescomplemented
424C22×D4C22×D4312yes—
425C23×C4—21no—
426C23×C4—22no—
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—22no—
430C23×C4—22no—
431C23×C4—22no—
432C23×C4—861no—
433C23×C4C22⋊D4311yescharacteristic
434C23×C4C22⋊D4312yes—
435C23×C4C22×D4312yes—
436C23×C4C22×D4311yescharacteristic
437AGL(1,ℤ/8)—8632no—
438C2×SD16—864no—
439C2×SD16—864no—
440C2×SD16—864no—
441C2×D8—864no—
442C2×D8—864no—
443C2×D8—864no—
444C2×M16—434no—
445C2×M16—862no—
446C2×M16—862no—
447C2×M16—862no—
448C2×M16—862no—
449C2×M16—862no—
450C22×C8—432no—
451C22×C8—432no—
452#123—868no—
453C22⋊Q8—864no—
454C22⋊Q8—864no—
455#121—216no—
456#121—28no—
457#121—28no—
458#121—864no—
459#121—864no—
460#120—868no—
461C4×D4—8616no—
462#117—434no—
463#117—862no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—22no—
466C2×C4⋊C4—432no—
467C2×C4⋊C4—862no—
468C2×C4⋊C4C22⋊D4314yescomplemented
469C2×C4⋊C4C22×D4312yes—
470C2×C22⋊C4—28no—
471C2×C22⋊C4—24no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—862no—
474C2×C22⋊C4—862no—
475C2×C42—861no—
476#103—864no—
477#102—868no—
478#102—864no—
479C22⋊C8—868no—
480C24—22no—
481C24—24no—
482C24—22no—
483C24—24no—
484C24—22no—
485C24—22no—
486C24—42no—
487C24—44no—
488C24—44no—
489C24—42no—
490C24—42no—
491C24—861no—
492C24C2×C22⋊D4312yes—
493C24C2×C22⋊D4311yescharacteristic
494#41—868no—
495#41—868no—
496#41—1724no—
497#41—1724no—
498C2×Q8—432no—
499C2×Q8—861no—
500C2×Q8—861no—
501C2×Q8—861no—
502C2×Q8—861no—
503C2×Q8—861no—
504C2×D4—216no—
505C2×D4—28no—
506C2×D4—24no—
507C2×D4—28no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—432no—
514C2×D4—48no—
515C2×D4—48no—
516C2×D4—42no—
517C2×D4—44no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—432no—
521C2×D4—868no—
522C2×D4—864no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—1724no—
529C2×D4—1722no—
530C2×D4—1722no—
531C2×D4—1724no—
532C2×D4C2×C22⋊D4314yes—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—24no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—44no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—44no—
552C22×C4—862no—
553C22×C4—861no—
554C22×C4—864no—
555C22×C4—1722no—
556C22×C4—1722no—
557C22×C4D4×D4312yes—
558C22×C4D4×D4312yes—
559C22×C4D4×D4312yes—
560C22×C4#1062190012yes—
561C22×C4C2×C22⋊D4312yes—
562C22×C4C2×C22⋊D4311yescharacteristic
563C22×C4C2×C22⋊D4312yes—
564C22×C4C2×C22⋊D4312yes—
565C22×C4C23×D4311yescharacteristic
566SD16—8616no—
567D8—8616no—
568M16—868no—
569M16—1724no—
570C2×C8—434no—
571C2×C8—862no—
572C2×C8—862no—
573C2×C8—862no—
574C2×C8—862no—
575C2×C8—862no—
576C4⋊C4—24no—
577C4⋊C4—22no—
578C4⋊C4—434no—
579C4⋊C4—868no—
580C4⋊C4—862no—
581C4⋊C4C2×C22⋊D4314yes—
582C22⋊C4—216no—
583C22⋊C4—868no—
584C22⋊C4—868no—
585C22⋊C4—864no—
586C42—864no—
587C23—22no—
588C23—22no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—48no—
598C23—48no—
599C23—44no—
600C23—48no—
601C23—48no—
602C23—44no—
603C23—48no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—44no—
608C23—88no—
609C23—88no—
610C23—862no—
611C23—1721no—
612C23—1721no—
613C23—1722no—
614C23—1722no—
615C23#1306329312yes—
616C23#1306329412yes—
617C23#1306329712yes—
618C23#1306335114yescomplemented
619C23C22×C22⋊D4311yescharacteristic
620Q8—862no—
621Q8—862no—
622Q8—1721no—
623Q8—1721no—
624D4—24no—
625D4—24no—
626D4—432no—
627D4—48no—
628D4—42no—
629D4—42no—
630D4—862no—
631D4—862no—
632D4—17216no—
633D4—1728no—
634D4—1721no—
635D4—1721no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—48no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—48no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—864no—
649C2×C4—862no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1722no—
653C2×C4—1722no—
654C2×C4—1728no—
655C2×C4#1306329312yes—
656C2×C4#1306329314yes—
657C2×C4#1306329412yes—
658C2×C4#1306329614yes—
659C2×C4#1306329712yes—
660C2×C4#1306329714yes—
661C2×C4#1306332114yes—
662C2×C4C2×D4×D4311yescharacteristic
663C2×C4C2×D4×D4311yescharacteristic
664C2×C4C2×D4×D4311yescharacteristic
665C2×C4C22×C22⋊D4311yescharacteristic
666C2×C4C22×C22⋊D4311yescharacteristic
667C2×C4C2×#1062190011yescharacteristic
668C8—864no—
669C8—1722no—
670C22—24no—
671C22—22no—
672C22—22no—
673C22—24no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—416no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—816no—
686C22—84no—
687C22—84no—
688C22—3442no—
689C22—3441no—
690C22—3441no—
691C22—1724no—
692C22—1722no—
693C22#1458280714yes—
694C22C2×#1306329311yescharacteristic
695C22C2×#1306329411yescharacteristic
696C22C2×#1306329711yescharacteristic
697C22C2×#1306335112yes—
698C22#1458369712yes—
699C4—44no—
700C4—42no—
701C4—1724no—
702C4—1722no—
703C4#1458280714yes—
704C4C2×#1306329311yescharacteristic
705C4C2×#1306329611yescharacteristic
706C4C2×#1306329711yescharacteristic
707C4C2×#1306332111yescharacteristic
708C2—24no—
709C2—44no—
710C2—84no—
711C2—3442no—
712C2C2×#1458280711yescharacteristic
713C2#1914382211yescharacteristic
714C2#1914383711yescharacteristic
715C2#1914384512yes—
716C2#1914421012yes—
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC22×#121×C43C2
socleC23×C43C22×D4
hypercenterC22×#121D43
hypocenterC43#23391
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C24×C4 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
1. C22×#13063351C2semidirect
2. C2×#14583410C2semidirect
3. C2×#14582898C2semidirect
4. C2×#14582904C2semidirect
5. C2×#14582863C2semidirect
6. #19135598C2semidirect
7. #19135591C2semidirect
8. #19134314C2semidirect
9. C22×#121×C43C2semidirect
14. C22×#10621883C22semidirect
15. C22×#10621882C22semidirect
21. C2×#13063304C22semidirect
22. C2×#13063299C22semidirect
28. C2×#13063248C22semidirect
29. C2×#13063246C22semidirect
30. C2×#13063245C22semidirect
32. C2×C22⋊(C43⋊C8)C22semidirect
33. #14582661C22semidirect
48. C2×#10621898D4semidirect
66. C2×#10621877D4semidirect
77. #13063284D4semidirect
99. C22×D4×C43D4semidirect
117. C2×C4⋊C4×C43D4semidirect
197. C2×D172C2×D4semidirect
206. C2×Dic86C2×D4semidirect
217. C4⋊Dic43C2×D4semidirect
227. C2×C43⋊C8C2×D4semidirect
254. C23×C43AGL(1,ℤ/8)semidirect
352. C22×#121D43semidirect
401. C43#23391semidirect
423. C22×D4C22⋊D43semidirect
468. C2×C4⋊C4C22⋊D43semidirect
618. C23#13063351semidirect

Maximal subgroups

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

subgroupindex
C22×#130633512
C2×#145834102
C2×#145828982
C2×#145829042
C2×#145828632
#191355982
#191355912
#191343142
C22×#121×C432
#2339143