Finite Group Databasebeta

← #25118875

Subgroups — #25118875

Order 11008.

1034 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583111C211yesmaximal, characteristic
2C2×C4×#10621884C211yesmaximal, characteristic, complemented
3C2×C4×#10621882C211yesmaximal, characteristic
4#19137506C211yesmaximal, characteristic, complemented
5#19135407C211yesmaximal, characteristic, complemented
6#19135363C211yesmaximal, characteristic, complemented
7#19135281C211yesmaximal, characteristic, complemented
8#19135274C211yesmaximal, characteristic, complemented
9#19134946C211yesmaximal, characteristic
10#19134932C211yesmaximal, characteristic, complemented
11#19134856C211yesmaximal, characteristic, complemented
12#19134849C211yesmaximal, characteristic, complemented
13C4⋊C4×C43⋊C8C211yesmaximal, characteristic, complemented
14C4×#13063245C211yesmaximal, characteristic, complemented
15C43×#2367C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×C4×D172C2211yescharacteristic
20C2×C4×D172C2211yescharacteristic
21#14583111C418yescomplemented
22C4×#10621884—24no—
23C4×#10621882—24no—
24C2×#13063258C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×C4⋊(C43⋊C8)C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×C4×C43⋊C8C2211yescharacteristic
36C2×C4×C43⋊C8C2211yescharacteristic
37C2×C4×C43⋊C8C2211yescharacteristic
38#14582797C2211yescharacteristic
39#14582797C2211yescharacteristic
40#14582770—21no—
41#14582770—21no—
42#14582765C2211yescharacteristic
43#14582758—21no—
44#95×D43—21no—
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582654C2211yescharacteristic
50#14582654C2211yescharacteristic
51C2×#124×C43C2211yescharacteristic
52C2×C4×Q8×C43C2211yescharacteristic
53C2×C4×D4×C43C2211yescharacteristic
54C43×#391C2211yescharacteristic
55C43×#390C2211yescharacteristic
56C43×#388—21no—
57C43×#388—21no—
58C43×#385—21no—
59C4×C4⋊C4×C43C2211yescharacteristic
60C4×C4⋊C4×C43C2211yescharacteristic
61C4×C22⋊C4×C43—21no—
62C22×D172C2311yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43—21no—
65C22×C4×D43—21no—
66C2×#10621884—22no—
67C2×#10621884—22no—
68C2×#10621884C2×C414yescomplemented
69C2×#10621882—22no—
70C2×#10621882—22no—
71C2×#10621882C2×C414yes—
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C4×D172—22no—
77C4×D172—22no—
78C4×D172—22no—
79C4×D172—41no—
80C4×D172—41no—
81C4×D172C2×C414yescomplemented
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90#13063258—22no—
91#13063256—22no—
92C4⋊(C43⋊C8)C2×C414yescomplemented
93#13063249—22no—
94#13063249—41no—
95#13063249C2×C414yescomplemented
96#13063246—22no—
97#13063246—41no—
98#13063246C2×C414yescomplemented
99#13063245—22no—
100#13063245D414yes—
101C4×C43⋊C8—22no—
102C4×C43⋊C8—22no—
103C4×C43⋊C8—22no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C22×Q8×C43C2311yescharacteristic
109C22×D4×C43C2311yescharacteristic
110C23×C4×C43—21no—
111#124×C43—22no—
112#124×C43C2×C414yescomplemented
113C4×Q8×C43—22no—
114C4×Q8×C43—41no—
115C4×D4×C43—22no—
116C4×D4×C43—41no—
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43D411yescharacteristic
119C2×C4⋊C4×C43D411yescharacteristic
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C22⋊C4×C43—21no—
123C2×C22⋊C4×C43—21no—
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43—21no—
126C2×C22⋊C4×C43—21no—
127C2×C42×C43—21no—
128C2×C42×C43—21no—
129C2×C42×C43C2311yescharacteristic
130C2×C42×C43C2311yescharacteristic
131C2×C42×C43C2311yescharacteristic
132#95×C43—21no—
133#95×C43—21no—
134#95×C43—21no—
135#95×C43D411yescharacteristic
136#95×C43D411yescharacteristic
137C24×C43—21no—
138C23×D43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43C22×C412yes—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43C22×C412yes—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—42no—
155C22×C4×C43—42no—
156C22×C4×C43—81no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2411yescharacteristic
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172C22×C412yes—
171C2×D172C2×D412yes—
172C2×D172#4112yes—
173C2×C4×D43—24no—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—81no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182C4⋊C4×C43—22no—
183C4⋊C4×C43—22no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—42no—
188C4⋊C4×C43C2×D412yes—
189C22⋊C4×C43—24no—
190C22⋊C4×C43—24no—
191C22⋊C4×C43—42no—
192C22⋊C4×C43—42no—
193C22⋊C4×C43—81no—
194C42×C43—21no—
195C42×C43—21no—
196C42×C43—21no—
197C42×C43—21no—
198C42×C43—42no—
199C42×C43—81no—
200C42×C43C22×C412yes—
201C42×C43#4112yes—
202#10621884—28no—
203#10621882—28no—
204(C2×D43)⋊C4—24no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43C22×C412yes—
213Dic43⋊C4—81no—
214Dic43⋊C4—81no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8C22×C412yes—
225C2×C43⋊C8C22×C412yes—
226C2×C43⋊C8C2×D412yes—
227C23×C43—22no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43C22×D411yescharacteristic
235C22×D43—22no—
236C22×D43—22no—
237C22×D43—22no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242Q8×C43—22no—
243Q8×C43—22no—
244Q8×C43—41no—
245Q8×C43—41no—
246D4×C43—22no—
247D4×C43—22no—
248D4×C43—41no—
249D4×C43—41no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—22no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—84no—
274C2×C4×C43C4×D412yes—
275C2×C4×C43C4×D412yes—
276C2×C4×C43#13512yes—
277C2×C4×C43#13512yes—
278C2×C4×C43C23×C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C432−1+411yescharacteristic
284C2×Dic43—22no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293D172—22no—
294D172—22no—
295D172—22no—
296D172C4×D414yes—
297C4×D43—84no—
298C4×D43—84no—
299C4×D43—84no—
300C43⋊C8—22no—
301C43⋊C8—22no—
302C43⋊C8—22no—
303C43⋊C8—41no—
304#22999—431nomaximal, Sylow
305C22×C43—42no—
306C22×C43—42no—
307C22×C43—42no—
308C22×C43—81no—
309C22×C43—81no—
310C22×C43—81no—
311C22×C43—81no—
312C22×C43C2×C4×D411yescharacteristic
313C22×C43D4211yescharacteristic
314C22×C43#54811yescharacteristic
315C22×C43C2×#13511yescharacteristic
316C22×C43C2×#13511yescharacteristic
317C22×C43#57611yescharacteristic
318C22×C43#57711yescharacteristic
319C2×D43—24no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—42no—
326C4×C43—22no—
327C4×C43—22no—
328C4×C43—22no—
329C4×C43—22no—
330C4×C43—42no—
331C4×C43—41no—
332C4×C43—42no—
333C4×C43—41no—
334C4×C43—81no—
335C4×C43C2×C4×D411yescharacteristic
336C4×C43#52011yescharacteristic
337C4×C43#54711yescharacteristic
338C4×C43#55311yescharacteristic
339Dic43—42no—
340Dic43—81no—
341Dic43—81no—
342C2×#463—431no—
343C2×C4×SD16—431no—
344C2×C4×D8—431no—
345#2367D4311yescharacteristic, complemented
346#2349—431no—
347#1958—431no—
348#1949—431no—
349#1934—431no—
350#1933—431no—
351#1879—431no—
352#1877—431no—
353#1864—431no—
354#1863—431no—
355C8×C4⋊C4—431no—
356C4×#102—431no—
357C2×C43—82no—
358C2×C43#236111yescharacteristic
359C2×C43C4×#13511yescharacteristic
360C2×C43#294611yescharacteristic
361C2×C43#328011yescharacteristic
362C2×C43#328211yescharacteristic
363C2×C43#336011yescharacteristic
364C2×C43#336111yescharacteristic
365D43—44no—
366C22×SD16—431no—
367C22×D8—431no—
368C2×#124C2×D4311yescharacteristic
369C2×C4×Q8C2×D4311yescharacteristic
370C2×C4×D4—431no—
371C2×C4×D4—431no—
372C2×C4×D4—431no—
373C2×C4×D4C2×D4311yescharacteristic
374#463—438no—
375C4×SD16—864no—
376C4×D8—864no—
377C2×#107—431no—
378C2×#106—431no—
379C2×C4⋊C8—431no—
380C2×#103—431no—
381C2×#103—431no—
382C2×#103—431no—
383C2×#102—431no—
384C2×#102—431no—
385C2×#102—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×C4×C8—431no—
389C2×C4×C8—431no—
390C2×C4×C8—431no—
391#391C2×D4311yescharacteristic
392#390C2×D4311yescharacteristic
393#389—431no—
394#389—431no—
395#388—21no—
396#388—21no—
397#385—21no—
398#385—861no—
399#385—861no—
400#382—431no—
401#380—861no—
402C4×C4⋊C4C2×D4311yescharacteristic
403C4×C4⋊C4C2×D4311yescharacteristic
404C4×C22⋊C4—21no—
405C2×#95—861no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#336—431no—
411#336—431no—
412C43#2299911yescharacteristic, complemented, Sylow
413C22×Q8C22×D4311yescharacteristic
414C22×D4—431no—
415C22×D4C22×D4311yescharacteristic
416C23×C4—21no—
417C23×C4—861no—
418C23×C4—861no—
419C23×C4—861no—
420C2×SD16—434no—
421C2×SD16—862no—
422C2×SD16—862no—
423C2×D8—434no—
424C2×D8—862no—
425C2×D8—862no—
426C22×C8—431no—
427C22×C8—431no—
428C22×C8—431no—
429C22×C8—431no—
430#124—22no—
431#124C4×D4314yescomplemented
432C4×Q8—22no—
433C4×Q8—41no—
434C4×D4—22no—
435C4×D4—41no—
436C4×D4—434no—
437C4×D4—862no—
438C4×D4—862no—
439C4×D4—862no—
440C4×D4—1721no—
441C4×D4—1721no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4C22⋊D4311yescharacteristic
449C2×C4⋊C4C22⋊D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42C22×D4311yescharacteristic
463C2×C42C22×D4311yescharacteristic
464C2×C42C22×D4311yescharacteristic
465#107—862no—
466#106—862no—
467C4⋊C8—434no—
468#103—434no—
469#103—862no—
470#103—1721no—
471#102—434no—
472#102—434no—
473#102—862no—
474#102—862no—
475#102—1721no—
476C4×C8—862no—
477C4×C8—862no—
478C4×C8—862no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—861no—
483#95—861no—
484#95—861no—
485#95—861no—
486#95C22⋊D4311yescharacteristic
487#95C22⋊D4311yescharacteristic
488C24—21no—
489C24—861no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8C2×C4×D4312yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—432no—
502C2×D4—432no—
503C2×D4—432no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4C2×C4×D4312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—81no—
514C22×C4—861no—
515C22×C4—864no—
516C22×C4—861no—
517C22×C4—861no—
518C22×C4—3441no—
519C22×C4—3441no—
520C22×C4—3441no—
521C22×C4—3441no—
522C22×C4—1722no—
523C22×C4—1722no—
524C22×C4—1722no—
525C22×C4—1722no—
526C22×C4C2×C22⋊D4311yescharacteristic
527C22×C4C2×C22⋊D4311yescharacteristic
528C22×C4C2×C22⋊D4311yescharacteristic
529C22×C4C2×C22⋊D4311yescharacteristic
530C22×C4C2×C22⋊D4311yescharacteristic
531C22×C4C2×C22⋊D4311yescharacteristic
532C22×C4C23×D4311yescharacteristic
533SD16—868no—
534D8—868no—
535C2×C8—432no—
536C2×C8—432no—
537C2×C8—432no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—42no—
553C4⋊C4—432no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—3441no—
560C4⋊C4—3441no—
561C4⋊C4D4×D4312yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—81no—
567C22⋊C4—864no—
568C22⋊C4—1722no—
569C22⋊C4—1722no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—42no—
575C42—81no—
576C42C2×C4×D4312yes—
577C42#1062189812yes—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—862no—
586C23—862no—
587C23—862no—
588C23—1721no—
589C23—1721no—
590C23—1721no—
591C23—1721no—
592C23C22×C22⋊D4311yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—41no—
596Q8—41no—
597D4—22no—
598D4—22no—
599D4—41no—
600D4—41no—
601D4—434no—
602D4—862no—
603D4—862no—
604D4—862no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—862no—
630C2×C4—3444no—
631C2×C4—3444no—
632C2×C4—3444no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4C4×C22⋊D4312yes—
642C2×C4C4×C22⋊D4312yes—
643C2×C4#1306334512yes—
644C2×C4#1306334512yes—
645C2×C4C22×C4×D4311yescharacteristic
646C2×C4C2×D4×D4311yescharacteristic
647C2×C4#41×D4311yescharacteristic
648C2×C4C2×#1062189811yescharacteristic
649C2×C4#1306337011yescharacteristic
650C2×C4#1306337211yescharacteristic
651C8—862no—
652C8—862no—
653C8—862no—
654C8—1721no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—864no—
663C22—1722no—
664C22—1722no—
665C22—1722no—
666C22—1722no—
667C22—1722no—
668C22—1722no—
669C22C2×C4×C22⋊D4311yescharacteristic
670C22D4×C22⋊D4311yescharacteristic
671C22#1458355611yescharacteristic
672C22C2×#1306334511yescharacteristic
673C22C2×#1306334511yescharacteristic
674C22#1458370211yescharacteristic
675C22#1458370711yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—42no—
682C4—41no—
683C4—42no—
684C4—81no—
685C4—3441no—
686C4—3441no—
687C4—1722no—
688C4C4×D4×D4311yescharacteristic
689C4#1458337811yescharacteristic
690C4#1458355411yescharacteristic
691C4#1458359911yescharacteristic
692C2—82no—
693C2—1724no—
694C2#1913760711yescharacteristic
695C2C4×#1306334511yescharacteristic
696C2#1914342311yescharacteristic
697C2#1914627611yescharacteristic
698C2#1914630311yescharacteristic
699C2#1914724011yescharacteristic
700C2#1914725111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2367C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
cosocleC22×C4×C43C24
hypercenter#2367D43
hypocenterC43#22999
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2367

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621884C2semidirect
4. #19137506C2semidirect
5. #19135407C2semidirect
6. #19135363C2semidirect
7. #19135281C2semidirect
8. #19135274C2semidirect
10. #19134932C2semidirect
11. #19134856C2semidirect
12. #19134849C2semidirect
13. C4⋊C4×C43⋊C8C2semidirect
14. C4×#13063245C2semidirect
15. C43×#2367C2semidirect
21. #14583111C4semidirect
68. C2×#10621884C2×C4semidirect
81. C4×D172C2×C4semidirect
92. C4⋊(C43⋊C8)C2×C4semidirect
95. #13063249C2×C4semidirect
98. #13063246C2×C4semidirect
112. #124×C43C2×C4semidirect
345. #2367D43semidirect
412. C43#22999semidirect
431. #124C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831112
C2×C4×#106218842
C2×C4×#106218822
#191375062
#191354072
#191353632
#191352812
#191352742
#191349462
#191349322
#191348562
#191348492
C4⋊C4×C43⋊C82
C4×#130632452
C43×#23672
#2299943