Finite Group Databasebeta

← #25140556

Subgroups — #25140556

Order 11008.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583060C211yesmaximal, characteristic
2#19138092C211yesmaximal, characteristic, complemented
3#19137433C211yesmaximal, characteristic
4#19136113C211yesmaximal, characteristic, complemented
5#19136024C211yesmaximal, characteristic, complemented
6#19135909C211yesmaximal, characteristic, complemented
7#19135789C211yesmaximal, characteristic, complemented
8#19135278C211yesmaximal, characteristic, complemented
9#19135201C211yesmaximal, characteristic, complemented
10#19134950C211yesmaximal, characteristic, complemented
11#19134938C211yesmaximal, characteristic, complemented
12#19134863C211yesmaximal, characteristic, complemented
13#19134608C211yesmaximal, characteristic, complemented
14#19134534C211yesmaximal, characteristic
15C2×C4×Q16×C43C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17C22×#10621884C2211yescharacteristic
18C2×#13063301C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20#14583060—24no—
21C2×#13063256C2211yescharacteristic
22C2×Dic43⋊C8C2211yescharacteristic
23C2×#13063249C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063247C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31#14582837—21no—
32#14582825—21no—
33#14582806C2211yescharacteristic
34#14582801—21no—
35#14582801C2211yescharacteristic
36#14582800—21no—
37#14582800C2211yescharacteristic
38#14582797C2211yescharacteristic
39#14582790—21no—
40#14582783—21no—
41#14582764C2211yescharacteristic
42#14582756—21no—
43#14582756C2211yescharacteristic
44#14582756C2211yescharacteristic
45C4×(C2×D43)⋊C4—21no—
46C4×(C2×D43)⋊C4C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582654C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×Q16×C43C2211yescharacteristic
54C2×C4×Q8×C43C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C4×Q16×C43—24no—
57C2×#107×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C2×#10621902—22no—
62C2×#10621902—22no—
63C2×#10621902—22no—
64C2×#10621902—22no—
65C2×#10621902—41no—
66C2×#10621902—41no—
67C22×D172—21no—
68C22×D172C2311yescharacteristic
69C22×C4×D43—21no—
70C22×C4×D43C2311yescharacteristic
71C2×#10621884—22no—
72C2×#10621884—22no—
73C2×#10621884—41no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063301—22no—
77#13063301—41no—
78Q8×Dic43—22no—
79Q8×Dic43—41no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4D411yescharacteristic
94C2×(C2×D43)⋊C4D411yescharacteristic
95C2×C4×Dic43—21no—
96C2×C4×Dic43C2311yescharacteristic
97#13063256—41no—
98Dic43⋊C8—41no—
99#13063249—22no—
100#13063249—22no—
101#13063249—41no—
102#13063247—22no—
103#13063247—22no—
104#13063245—41no—
105(C2×D43)⋊C8—22no—
106(C2×D43)⋊C8—41no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95D411yescharacteristic
115C43⋊#95D411yescharacteristic
116C22×Q8×C43C2311yescharacteristic
117C22×Q8×C43C2311yescharacteristic
118C2×Q16×C43—22no—
119C2×Q16×C43—22no—
120C2×Q16×C43D414yes—
121C22×C8×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C4×Q8×C43—22no—
124C4×Q8×C43—22no—
125C4×Q8×C43—41no—
126C4×Q8×C43—41no—
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C42×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#107×C43—22no—
135#103×C43—22no—
136#103×C43—22no—
137C4×C8×C43—22no—
138C23×D43—21no—
139C23×D43C2×D411yescharacteristic
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C2×D412yes—
149C2×Q8×C43C2×D412yes—
150C2×Q8×C43#4112yes—
151C2×Q8×C43#4112yes—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2411yescharacteristic
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165#10621902—44no—
166#10621902—44no—
167#10621902—44no—
168#10621902—44no—
169C2×D172—24no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—42no—
176C2×D172—42no—
177C2×D172#4112yes—
178C2×C4×D43—24no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×C4×D43—21no—
182C2×C4×D43—21no—
183C2×C4×D43—21no—
184C2×C4×D43—21no—
185C2×C4×D43—42no—
186C2×C4×D43—42no—
187Q16×C43—28no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43C2×D412yes—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—42no—
199C4⋊C4×C43—42no—
200C42×C43—21no—
201C42×C43—21no—
202C42×C43—42no—
203C42×C43—42no—
204#10621884—44no—
205(C2×D43)⋊C4—22no—
206(C2×D43)⋊C4—41no—
207(C2×D43)⋊C4—42no—
208(C2×D43)⋊C4—42no—
209(C2×D43)⋊C4—42no—
210(C2×D43)⋊C4—42no—
211(C2×D43)⋊C4—81no—
212(C2×D43)⋊C4—81no—
213(C2×D43)⋊C4—81no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—42no—
221Dic43⋊C4—42no—
222Dic43⋊C4—42no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—42no—
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×C43C22×D411yescharacteristic
233C22×D43—21no—
234C22×D43—22no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—21no—
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—22no—
252Q8×C43—41no—
253Q8×C43—41no—
254Q8×C43#12314yes—
255C2×C4×C43—22no—
256C2×C4×C43—21no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
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#13512yes—
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
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—
297D172—22no—
298D172—22no—
299D172—48no—
300D172—41no—
301D172—41no—
302C4×D43—48no—
303C4×D43—41no—
304C4×D43—41no—
305C4×D43—41no—
306C4×D43—41no—
307C8×C43—22no—
308C8×C43—41no—
309C43⋊C8—41no—
310C43⋊C8—41no—
311#24908—431nomaximal, Sylow
312C22×C43#52511yescharacteristic
313C22×C43D4211yescharacteristic
314C22×C43#54611yescharacteristic
315C22×C43C2×#13511yescharacteristic
316C22×C43#57511yescharacteristic
317C22×C43#57711yescharacteristic
318C22×C43#57811yescharacteristic
319C2×D43—41no—
320C2×D43—42no—
321C2×D43—41no—
322C2×D43—42no—
323C2×D43—41no—
324C2×D43—42no—
325C2×D43—41no—
326C2×D43—41no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C4×C43—24no—
334C4×C43—22no—
335C4×C43—42no—
336C4×C43—41no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43C2×#12311yescharacteristic
340C4×C43#53811yescharacteristic
341C4×C43#54611yescharacteristic
342C4×C43#55111yescharacteristic
343Dic43—41no—
344Dic43—41no—
345Dic43—41no—
346Dic43—81no—
347Dic43—81no—
348Dic43—81no—
349C2×#452—431no—
350C2×C4×Q16D4311yescharacteristic, complemented
351#2421—431no—
352#2341—431no—
353#2092—431no—
354#2076—431no—
355#2055—431no—
356#2035—431no—
357#1934—431no—
358#1923—431no—
359#1880—431no—
360#1878—431no—
361#1865—431no—
362#1805—431no—
363#1788—431no—
364C2×C43#241811yescharacteristic
365C2×C43#310211yescharacteristic
366C2×C43#312011yescharacteristic
367C2×C43#327111yescharacteristic
368C2×C43#328511yescharacteristic
369C2×C43#330411yescharacteristic
370C2×C43#332711yescharacteristic
371D43—81no—
372D43—82no—
373C22×#41—431no—
374C22×Q16C2×D4311yescharacteristic
375C22×SD16—431no—
376C2×C22⋊Q8—431no—
377C2×C4×Q8—431no—
378C2×C4×Q8C2×D4311yescharacteristic
379C2×C4×Q8C2×D4311yescharacteristic
380#452—864no—
381C4×Q16—24no—
382C2×#107C2×D4311yescharacteristic
383C2×#106—431no—
384C2×C4⋊C8—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#103C2×D4311yescharacteristic
389C2×#103C2×D4311yescharacteristic
390C2×#102—431no—
391C2×#102—431no—
392C2×#102—431no—
393C2×C22⋊C8—431no—
394C2×C22⋊C8—431no—
395C2×C4×C8C2×D4311yescharacteristic
396#400—861no—
397#397—861no—
398#391—431no—
399#390—431no—
400#390—431no—
401#390—861no—
402#390—861no—
403#389—431no—
404#388—861no—
405#387—861no—
406#382—431no—
407#380—431no—
408#380—431no—
409#380—861no—
410C4×C22⋊C4—431no—
411C4×C22⋊C4—861no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#336—431no—
417#336—431no—
418C43#2490811yescharacteristic, complemented, Sylow
419C2×#41—862no—
420C2×#41—862no—
421C2×#41—862no—
422C2×#41—862no—
423C2×#41—1721no—
424C2×#41—1721no—
425C22×Q8C22×D4311yescharacteristic
426C22×Q8C22×D4311yescharacteristic
427C22×D4—431no—
428C22×D4—861no—
429C23×C4—431no—
430C23×C4—861no—
431C2×Q16—22no—
432C2×Q16—22no—
433C2×Q16C22⋊D4314yes—
434C2×SD16—862no—
435C2×SD16—862no—
436C2×SD16—1721no—
437C22×C8—431no—
438C22×C8—431no—
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441C22⋊Q8—862no—
442C22⋊Q8—1721no—
443C4×Q8—22no—
444C4×Q8—22no—
445C4×Q8—41no—
446C4×Q8—41no—
447C4×Q8—862no—
448C4×Q8—1721no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C4⋊C4C22×D4311yescharacteristic
459C2×C22⋊C4—431no—
460C2×C22⋊C4—431no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42—431no—
471C2×C42—861no—
472C2×C42C22×D4311yescharacteristic
473#107—22no—
474#106—1721no—
475C4⋊C8—1721no—
476#103—22no—
477#103—22no—
478#103—862no—
479#103—862no—
480#103—1721no—
481#102—862no—
482#102—862no—
483#102—1721no—
484C22⋊C8—862no—
485C22⋊C8—1721no—
486C4×C8—22no—
487#95—431no—
488#95—431no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496C24—431no—
497C24—861no—
498#41—1724no—
499#41—1724no—
500#41—1724no—
501#41—1724no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8#1062189812yes—
511C2×Q8#1062189812yes—
512C2×Q8C2×C22⋊D4312yes—
513C2×Q8C2×C22⋊D4312yes—
514C2×D4—432no—
515C2×D4—864no—
516C2×D4—861no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4—861no—
520C2×D4—861no—
521C2×D4—1722no—
522C2×D4—1722no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—431no—
528C22×C4—431no—
529C22×C4—431no—
530C22×C4—864no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—1722no—
541C22×C4—1722no—
542C22×C4D4×D4311yescharacteristic
543C22×C4D4×D4311yescharacteristic
544C22×C4C23×D4311yescharacteristic
545Q16—28no—
546SD16—1724no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8C2×C22⋊D4312yes—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—1722no—
572C4⋊C4—1722no—
573C4⋊C4—1722no—
574C22⋊C4—862no—
575C22⋊C4—3441no—
576C22⋊C4—3441no—
577C22⋊C4—3441no—
578C22⋊C4—1721no—
579C22⋊C4—1722no—
580C22⋊C4—1722no—
581C22⋊C4—1722no—
582C22⋊C4—1722no—
583C42—21no—
584C42—21no—
585C42—42no—
586C42—42no—
587C42—861no—
588C42—861no—
589C42—1722no—
590C23—862no—
591C23—861no—
592C23—861no—
593C23—861no—
594C23—861no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23C2×D4×D4311yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8#1306330814yes—
613D4—862no—
614D4—862no—
615D4—1728no—
616D4—1721no—
617D4—1721no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—1728no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4#1306334812yes—
659C2×C4C22×C22⋊D4311yescharacteristic
660C2×C4#41×D4311yescharacteristic
661C2×C4C2×#1062189811yescharacteristic
662C2×C4C2×#1062189811yescharacteristic
663C2×C4#1306337011yescharacteristic
664C2×C4#1306337111yescharacteristic
665C8—22no—
666C8—41no—
667C8—1721no—
668C8—1721no—
669C22—3441no—
670C22—3441no—
671C22—3441no—
672C22—3441no—
673C22—1722no—
674C22—1721no—
675C22—1721no—
676C22—1721no—
677C22—1721no—
678C22—1722no—
679C22—1721no—
680C22—1721no—
681C22—1722no—
682C22—1721no—
683C22#1458340811yescharacteristic
684C22D4×C22⋊D4311yescharacteristic
685C22#1458354511yescharacteristic
686C22C2×#1306334811yescharacteristic
687C22#1458369611yescharacteristic
688C22#1458370611yescharacteristic
689C22#1458371211yescharacteristic
690C4—24no—
691C4—22no—
692C4—42no—
693C4—41no—
694C4—81no—
695C4—81no—
696C4—3441no—
697C4—3441no—
698C4—3441no—
699C4—1721no—
700C4—1721no—
701C4—1721no—
702C4C2×#1306330811yescharacteristic
703C4#1458348211yescharacteristic
704C4#1458353711yescharacteristic
705C4#1458357811yescharacteristic
706C2—3442no—
707C2—3441no—
708C2#1913805111yescharacteristic
709C2#1914461911yescharacteristic
710C2#1914481511yescharacteristic
711C2#1914618011yescharacteristic
712C2#1914633611yescharacteristic
713C2#1914653611yescharacteristic
714C2#1914686811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C4×Q16×C43C2
socleC23×C43C22×D4
prime radicalC22×#10621902C22
hypercenterC2×C4×Q16D43
hypocenterC43#24908
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×Q16

Complements

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

NH ≅ G/Ntype
2. #19138092C2semidirect
4. #19136113C2semidirect
5. #19136024C2semidirect
6. #19135909C2semidirect
7. #19135789C2semidirect
8. #19135278C2semidirect
9. #19135201C2semidirect
10. #19134950C2semidirect
11. #19134938C2semidirect
12. #19134863C2semidirect
13. #19134608C2semidirect
15. C2×C4×Q16×C43C2semidirect
350. C2×C4×Q16D43semidirect
418. C43#24908semidirect

Maximal subgroups

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

subgroupindex
C2×#145830602
#191380922
#191374332
#191361132
#191360242
#191359092
#191357892
#191352782
#191352012
#191349502
#191349382
#191348632
#191346082
#191345342
C2×C4×Q16×C432
#2490843