Finite Group Databasebeta

← #25132782

Subgroups — #25132782

Order 11008.

1068 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583530C211yesmaximal, characteristic, complemented
2C2×#14583197C211yesmaximal, characteristic, complemented
3C2×#14583187C211yesmaximal, characteristic, complemented
4#19137290C211yesmaximal, characteristic
5#19135936C211yesmaximal, characteristic, complemented
6#19135927C211yesmaximal, characteristic, complemented
7#19135739C211yesmaximal, characteristic, complemented
8#19135729C211yesmaximal, characteristic, complemented
9#19135549C211yesmaximal, characteristic, complemented
10#19135545C211yesmaximal, characteristic, complemented
11#19134918C211yesmaximal, characteristic
12#19134796C211yesmaximal, characteristic, complemented
13#19134788C211yesmaximal, characteristic, complemented
14#19134577C211yesmaximal, characteristic, complemented
15C43×#1874C211yesmaximal, characteristic
16#14583530—24no—
17#14583530—24no—
18C2×#13063324—21no—
19C2×#13063324C2211yescharacteristic
20C2×#13063324C2211yescharacteristic
21C2×#13063316—21no—
22C2×#13063316C2211yescharacteristic
23C2×#13063316C2211yescharacteristic
24C2×#13063304—21no—
25C2×#13063304—21no—
26C2×D4×Dic43C2211yescharacteristic
27C2×#13063284C2211yescharacteristic
28C2×#13063284C2211yescharacteristic
29#14583197—24no—
30#14583187—24no—
31C2×#13063259C2211yescharacteristic
32C2×#13063257C2211yescharacteristic
33C2×#13063256C2211yescharacteristic
34C2×#13063256C2211yescharacteristic
35C2×Dic43⋊C8C2211yescharacteristic
36C2×Dic43⋊C8C2211yescharacteristic
37C2×#13063246C2211yescharacteristic
38C2×#13063246C2211yescharacteristic
39C2×C22⋊(C43⋊C8)C2211yescharacteristic
40#14582802—21no—
41#14582802C2211yescharacteristic
42#14582798C2211yescharacteristic
43#14582792—21no—
44#14582779—21no—
45#14582774—21no—
46#14582759C2211yescharacteristic
47C4⋊C4×Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C22×C4⋊C4×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86—21no—
65C23×Dic43—21no—
66C22×C43⋊C8C2311yescharacteristic
67C22×C43⋊C8C2311yescharacteristic
68#13063324—28no—
69#13063324—22no—
70#13063324—22no—
71#13063324—22no—
72#13063324D414yescomplemented
73#13063316—28no—
74#13063316—22no—
75#13063316—22no—
76#13063316—22no—
77#13063316D414yescomplemented
78#13063304—28no—
79#13063304—28no—
80D4×Dic43—22no—
81D4×Dic43—22no—
82#13063284—22no—
83#13063284—22no—
84#13063284—22no—
85#13063284—22no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43D411yescharacteristic
90C2×C4⋊Dic43D411yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×C22⋊Dic43—21no—
100C2×C22⋊Dic43—21no—
101C2×C22⋊Dic43—21no—
102C2×C22⋊Dic43—21no—
103C2×C22⋊Dic43—21no—
104C2×C22⋊Dic43D411yescharacteristic
105C2×C22⋊Dic43D411yescharacteristic
106C2×C4×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43C2311yescharacteristic
109C2×C4×Dic43C2311yescharacteristic
110#13063259—22no—
111#13063257—22no—
112#13063256—22no—
113#13063256—22no—
114Dic43⋊C8—22no—
115Dic43⋊C8—22no—
116#13063246—22no—
117#13063246—22no—
118C22⋊(C43⋊C8)—22no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C22×D4×C43—21no—
123C22×D4×C43C2311yescharacteristic
124C23×C4×C43—21no—
125C23×C4×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128#121×C43—22no—
129#121×C43Q814yescomplemented
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43—22no—
132C2×C4⋊C4×C43—22no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C22⋊C4×C43—21no—
137#102×C43—22no—
138#102×C43—22no—
139C22⋊C8×C43—22no—
140C24×C43—21no—
141C24×C43C2×D411yescharacteristic
142C2×D4×C43—21no—
143C2×D4×C43—24no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—81no—
149C2×D4×C43—81no—
150C2×D4×C43C2×Q812yes—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—24no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—81no—
160C22×C4×C43—81no—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×Q812yes—
163C22×C4×C43#4112yes—
164C22×C4×C43C2411yescharacteristic
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—42no—
170C22×Dic43—81no—
171C22×Dic43—81no—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C2×Dic86—24no—
177C2×Dic86—24no—
178C2×Dic86—81no—
179C2×Dic86—81no—
180C2×Dic86—81no—
181C2×Dic86—81no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C4⋊C4×C43—24no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43C2×D412yes—
193C4⋊C4×C43C2×D412yes—
194C4⋊C4×C43C2×Q812yes—
195C22⋊C4×C43—24no—
196C22⋊Dic43—24no—
197C22⋊Dic43—22no—
198C22⋊Dic43—22no—
199C22⋊Dic43—42no—
200C22⋊Dic43—81no—
201C22⋊Dic43—81no—
202C22⋊Dic43—81no—
203C4⋊Dic43—24no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—24no—
207C4⋊Dic43—22no—
208C4⋊Dic43—22no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—81no—
214C4⋊Dic43C2×D412yes—
215C4⋊Dic43C2×D412yes—
216Dic43⋊C4—24no—
217Dic43⋊C4—24no—
218Dic43⋊C4—24no—
219Dic43⋊C4—24no—
220C4×Dic43—24no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C4×Dic43—81no—
224C4×Dic43C2×D412yes—
225C4×Dic43C2×D412yes—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—22no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43C22⋊Q812yes—
246C23×C43C22×D411yescharacteristic
247D4×C43—22no—
248D4×C43—22no—
249D4×C43—41no—
250D4×C43—41no—
251D4×C43—84no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—84no—
268C2×C4×C43C22⋊Q812yes—
269C2×C4×C43C22×D411yescharacteristic
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×Q811yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C432−1+411yescharacteristic
274C2×C4×C432−1+411yescharacteristic
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—21no—
282C2×Dic43—22no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—84no—
298C2×Dic43#12012yes—
299C2×Dic43#12012yes—
300Dic86—84no—
301Dic86—84no—
302C8×C43—41no—
303C8×C43—41no—
304C43⋊C8—41no—
305C43⋊C8—41no—
306#24309—431nomaximal, Sylow
307C22×C43—22no—
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—41no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43—81no—
321C22×C43C2×#12011yescharacteristic
322C22×C43C2×C22⋊Q811yescharacteristic
323C22×C43#53611yescharacteristic
324C22×C43#57611yescharacteristic
325C22×C43#57711yescharacteristic
326C22×C43#57711yescharacteristic
327C22×C43#57711yescharacteristic
328C4×C43—22no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43#54811yescharacteristic
333C4×C43#54811yescharacteristic
334C4×C43D4×Q811yescharacteristic
335C4×C43D4×Q811yescharacteristic
336Dic43—22no—
337Dic43—22no—
338Dic43—41no—
339Dic43—42no—
340Dic43—41no—
341Dic43—42no—
342Dic43—81no—
343Dic43—81no—
344C2×#544—431no—
345C2×#478—431no—
346C2×#476—431no—
347#2324—431no—
348#2059—431no—
349#2058—431no—
350#2025—431no—
351#2023—431no—
352#1989—431no—
353#1988—431no—
354#1875—431no—
355#1874D4311yescharacteristic
356#1854—431no—
357#1853—431no—
358#1798—431no—
359C2×C43—42no—
360C2×C43—82no—
361C2×C43#240911yescharacteristic
362C2×C43#301011yescharacteristic
363C2×C43#301211yescharacteristic
364C2×C43#308111yescharacteristic
365C2×C43#308411yescharacteristic
366C2×C43#324111yescharacteristic
367C2×C43#324411yescharacteristic
368#544—864no—
369#544—864no—
370C2×C4⋊Q8—431no—
371C2×C4⋊Q8—431no—
372C2×C4⋊Q8—861no—
373C2×#125—431no—
374C2×#125—431no—
375C2×#125—861no—
376C2×C22⋊Q8—861no—
377C2×C22⋊Q8—861no—
378C2×#121C2×D4311yescharacteristic
379C2×C4×D4—431no—
380C2×#117—431no—
381C2×#117—431no—
382C22×C4⋊C4C2×D4311yescharacteristic
383#478—864no—
384#476—864no—
385C2×#107—431no—
386C2×#106—431no—
387C2×#106—431no—
388C2×#106—431no—
389C2×C4⋊C8—431no—
390C2×C4⋊C8—431no—
391C2×#102—431no—
392C2×#102—431no—
393C2×#102C2×D4311yescharacteristic
394C2×#102C2×D4311yescharacteristic
395C2×C22⋊C8—431no—
396C2×C22⋊C8C2×D4311yescharacteristic
397#390—431no—
398#390—861no—
399#389—431no—
400#388—861no—
401#386—861no—
402#385—861no—
403#380—431no—
404C4×C4⋊C4—431no—
405#340—431no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340C2×D4311yescharacteristic
412#340C2×D4311yescharacteristic
413#336—431no—
414#336—431no—
415C43#2430911yescharacteristic, complemented, Sylow
416C22×Q8—861no—
417C22×Q8—861no—
418C22×D4—21no—
419C22×D4C22×D4311yescharacteristic
420C23×C4—21no—
421C23×C4—861no—
422C23×C4C22×D4311yescharacteristic
423C22×C8—431no—
424C22×C8—431no—
425C22×C8C22×D4311yescharacteristic
426C22×C8C22×D4311yescharacteristic
427C4⋊Q8—434no—
428C4⋊Q8—862no—
429C4⋊Q8—862no—
430C4⋊Q8—868no—
431C4⋊Q8—862no—
432#125—434no—
433#125—862no—
434#125—862no—
435#125—868no—
436#125—862no—
437C22⋊Q8—868no—
438C22⋊Q8—868no—
439#121—22no—
440#121Dic8614yescomplemented
441C4×D4—862no—
442C4×D4—862no—
443#117—862no—
444#117—862no—
445#117—862no—
446#117—862no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4C22×D4311yescharacteristic
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—431no—
468C2×C22⋊C4—431no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C42—431no—
475C2×C42—431no—
476C2×C42—861no—
477C2×C42—861no—
478#107—862no—
479#106—862no—
480#106—862no—
481#106—862no—
482C4⋊C8—862no—
483C4⋊C8—862no—
484#102—22no—
485#102—22no—
486#102—862no—
487#102—862no—
488C22⋊C8—22no—
489C22⋊C8—862no—
490#95—861no—
491#95—861no—
492#95—861no—
493C24—21no—
494C24D4×D4311yescharacteristic
495C2×Q8—864no—
496C2×Q8—864no—
497C2×Q8—3441no—
498C2×Q8—3441no—
499C2×Q8—3441no—
500C2×Q8—3441no—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—81no—
508C2×D4—81no—
509C2×D4C2×Dic8612yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—3441no—
529C22×C4—3441no—
530C22×C4—1722no—
531C22×C4C2×Dic8612yes—
532C22×C4D4×D4311yescharacteristic
533C22×C4#1062190012yes—
534C22×C4C23×D4311yescharacteristic
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C4⋊C4—24no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—432no—
552C4⋊C4—432no—
553C4⋊C4—862no—
554C4⋊C4—862no—
555C4⋊C4—864no—
556C4⋊C4—864no—
557C4⋊C4—864no—
558C4⋊C4—864no—
559C4⋊C4—864no—
560C4⋊C4—864no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—3441no—
568C4⋊C4C2×Dic8612yes—
569C4⋊C4D4×D4312yes—
570C4⋊C4D4×D4312yes—
571C22⋊C4—24no—
572C22⋊C4—862no—
573C22⋊C4—862no—
574C22⋊C4—864no—
575C22⋊C4—3441no—
576C22⋊C4—3441no—
577C22⋊C4—3441no—
578C22⋊C4—1722no—
579C42—432no—
580C42—432no—
581C42—864no—
582C42—861no—
583C42—861no—
584C42—3441no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23#1306330212yes—
599C23C2×D4×D4311yescharacteristic
600Q8—3444no—
601Q8—3444no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—84no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4—432no—
624C2×C4—432no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—3444no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4#1306330212yes—
649C2×C4C2×D4×D4311yescharacteristic
650C2×C4C2×D4×D4311yescharacteristic
651C2×C4C22×Dic8611yescharacteristic
652C2×C4C2×#1062190011yescharacteristic
653C2×C4#1306337211yescharacteristic
654C2×C4#1306337211yescharacteristic
655C8—41no—
656C8—41no—
657C8—1721no—
658C8—1721no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22#120×D4311yescharacteristic
674C22C2×#1306330211yescharacteristic
675C22#1458347111yescharacteristic
676C22#1458370011yescharacteristic
677C22#1458370511yescharacteristic
678C22#1458370811yescharacteristic
679C22#1458370911yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—862no—
685C4—862no—
686C4—3441no—
687C4—3441no—
688C4—1721no—
689C4—1722no—
690C4—1721no—
691C4—1722no—
692C4#1458355511yescharacteristic
693C4#1458355511yescharacteristic
694C4D4×Dic8611yescharacteristic
695C4D4×Dic8611yescharacteristic
696C2—42no—
697C2—82no—
698C2#1913795711yescharacteristic
699C2#1914387611yescharacteristic
700C2#1914389411yescharacteristic
701C2#1914442211yescharacteristic
702C2#1914446111yescharacteristic
703C2#1914584411yescharacteristic
704C2#1914588911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1874C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
hypercenter#1874D43
hypocenterC43#24309
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
1. C2×#14583530C2semidirect
2. C2×#14583197C2semidirect
3. C2×#14583187C2semidirect
5. #19135936C2semidirect
6. #19135927C2semidirect
7. #19135739C2semidirect
8. #19135729C2semidirect
9. #19135549C2semidirect
10. #19135545C2semidirect
12. #19134796C2semidirect
13. #19134788C2semidirect
14. #19134577C2semidirect
72. #13063324D4semidirect
77. #13063316D4semidirect
129. #121×C43Q8semidirect
415. C43#24309semidirect
440. #121Dic86semidirect

Maximal subgroups

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

subgroupindex
C2×#145835302
C2×#145831972
C2×#145831872
#191372902
#191359362
#191359272
#191357392
#191357292
#191355492
#191355452
#191349182
#191347962
#191347882
#191345772
C43×#18742
#2430943