Finite Group Databasebeta

← #25148813

Subgroups — #25148813

Order 11008.

1132 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583453C211yesmaximal, characteristic
2C2×#14583139C211yesmaximal, characteristic
3C2×#14583137C211yesmaximal, characteristic
4#19142936C211yesmaximal, characteristic
5#19135922C211yesmaximal, characteristic, complemented
6#19135840C211yesmaximal, characteristic, complemented
7#19135734C211yesmaximal, characteristic, complemented
8#19135693C211yesmaximal, characteristic, complemented
9#19135017C211yesmaximal, characteristic
10#19135015C211yesmaximal, characteristic
11#19134939C211yesmaximal, characteristic, complemented
12#19134852C211yesmaximal, characteristic, complemented
13#19134849C211yesmaximal, characteristic, complemented
14#336×D43C211yesmaximal, characteristic
15C43×#1878C211yesmaximal, characteristic, complemented
16C22×#10621885C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19#14583453—24no—
20#14583453—24no—
21C2×#13063324C2211yescharacteristic
22C2×#13063323C2211yescharacteristic
23C2×#13063315—21no—
24C2×#13063305C2211yescharacteristic
25C2×#13063303—21no—
26C2×#13063301C2211yescharacteristic
27C2×#13063301C2211yescharacteristic
28C2×C4×Dic86—21no—
29C2×C4×Dic86C2211yescharacteristic
30C2×#13063282—21no—
31C2×C42×D43C2211yescharacteristic
32#14583139—24no—
33#14583137—24no—
34C2×#13063259C2211yescharacteristic
35C2×#13063258C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063250C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×#13063249C2211yescharacteristic
40C2×#13063249C2211yescharacteristic
41C2×#13063248C2211yescharacteristic
42#14582806C2211yescharacteristic
43#14582798C2211yescharacteristic
44#14582797C2211yescharacteristic
45#14582782—21no—
46#14582781—21no—
47#14582773—21no—
48#14582761—21no—
49#14582756C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×Q16×C43C2211yescharacteristic
57C2×C4×Q8×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86C2311yescharacteristic
65C22×C4×D43D411yescharacteristic
66C22×C4×D43D411yescharacteristic
67C22×C4×D43C2311yescharacteristic
68C2×#10621885—22no—
69C2×#10621885—22no—
70C2×#10621885—41no—
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73C2×C8×D43—22no—
74C2×C8×D43—22no—
75C2×C8×D43—22no—
76C2×C8×D43—22no—
77C2×C8×D43—41no—
78C2×C8×D43—41no—
79#13063324—22no—
80#13063324—22no—
81#13063323—22no—
82#13063323—22no—
83#13063315—28no—
84#13063305—22no—
85#13063305D414yes—
86#13063303—28no—
87#13063301—22no—
88#13063301—22no—
89#13063301—22no—
90#13063301D414yes—
91C4×Dic86—28no—
92C4×Dic86—22no—
93C4×Dic86—22no—
94#13063282—28no—
95C2×C4⋊Dic43—21no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43C2311yescharacteristic
98C2×C4⋊Dic43C2311yescharacteristic
99C2×C4⋊Dic43C2311yescharacteristic
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—21no—
107C2×(C2×D43)⋊C4—21no—
108C2×(C2×D43)⋊C4—21no—
109C2×(C2×D43)⋊C4—21no—
110C2×(C2×D43)⋊C4—21no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43D411yescharacteristic
113C2×C4×Dic43D411yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115C42×D43—22no—
116C42×D43—22no—
117#13063259—22no—
118#13063258—22no—
119#13063250—22no—
120#13063250—22no—
121#13063249—22no—
122#13063249—22no—
123#13063249—22no—
124#13063248—41no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C43⋊#95—21no—
128C43⋊#95—21no—
129C43⋊#95—21no—
130C22×Q8×C43C2311yescharacteristic
131C22×Q8×C43C2311yescharacteristic
132C2×Q16×C43—22no—
133C2×Q16×C43—22no—
134C2×Q16×C43—41no—
135C22×C8×C43C2311yescharacteristic
136C22×C8×C43C2311yescharacteristic
137C4×Q8×C43—22no—
138C4×Q8×C43—22no—
139C2×C4⋊C4×C43—21no—
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C4⋊C4×C43C2311yescharacteristic
142C2×C42×C43—21no—
143C2×C42×C43C2311yescharacteristic
144#103×C43—22no—
145#103×C43—41no—
146#95×C43—21no—
147#95×C43—21no—
148C23×D43C2×D411yescharacteristic
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43—21no—
160C2×Q8×C43C2×D412yes—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2411yescharacteristic
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—22no—
180C2×C4×D43—22no—
181C2×C4×D43—22no—
182C2×C4×D43—22no—
183C2×C4×D43—41no—
184C2×C4×D43Q1614yescomplemented
185C2×C4×D43C2×D412yes—
186C2×C4×D43C2×D412yes—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—24no—
192C2×Dic86—21no—
193C2×Dic86—42no—
194C2×Dic86—42no—
195C2×Dic86C2×D412yes—
196Q16×C43—44no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43#4112yes—
203C4⋊C4×C43—24no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43C2×D412yes—
208C42×C43—24no—
209C42×C43—21no—
210C42×C43—21no—
211#10621885—44no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—24no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216C4⋊Dic43—21no—
217C4⋊Dic43—24no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—42no—
223C4⋊Dic43C2×D412yes—
224Dic43⋊C4—24no—
225Dic43⋊C4—24no—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229Dic43⋊C4—42no—
230Dic43⋊C4—42no—
231C4×Dic43—24no—
232C4×Dic43—21no—
233C4×Dic43—21no—
234C4×Dic43—22no—
235C4×Dic43—22no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8#4112yes—
242C8×D43—44no—
243C8×D43—44no—
244C23×C43C22×D411yescharacteristic
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43#12012yes—
250C22×D43C2×Q1612yes—
251C22×D43#13712yes—
252Q8×C43—22no—
253Q8×C43—22no—
254Q8×C43—41no—
255Q8×C43—41no—
256Q8×C43—41no—
257Q8×C43—41no—
258Q8×C43—41no—
259Q8×C43—41no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
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—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43C2×Q1612yes—
278C2×C4×C43C22×D411yescharacteristic
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—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43#12012yes—
303C2×Dic43C2×Q1612yes—
304C2×Dic43#13512yes—
305C4×D43—28no—
306C4×D43—22no—
307C4×D43—22no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—44no—
311Dic86—22no—
312Dic86—22no—
313Dic86—48no—
314Dic86—41no—
315Dic86—41no—
316C8×C43—22no—
317C8×C43—41no—
318C43⋊C8—22no—
319C43⋊C8—41no—
320#25498—431nomaximal, Sylow
321C22×C43C2×#12011yescharacteristic
322C22×C43#53211yescharacteristic
323C22×C43#53711yescharacteristic
324C22×C43C22×Q1611yescharacteristic
325C22×C43C2×#13511yescharacteristic
326C22×C43C2×#13711yescharacteristic
327C22×C43#57511yescharacteristic
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—22no—
334C2×D43#45114yes—
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—42no—
338C4×C43—41no—
339C4×C43—81no—
340C4×C43—81no—
341C4×C43#54611yescharacteristic
342C4×C43#54611yescharacteristic
343C4×C43#54711yescharacteristic
344C4×C43#54711yescharacteristic
345Dic43—22no—
346Dic43—22no—
347Dic43—22no—
348Dic43—42no—
349Dic43—42no—
350Dic43—81no—
351Dic43—81no—
352C2×#533—431no—
353C2×#467—431no—
354C2×#467—431no—
355#2855—431no—
356#2057—431no—
357#2043—431no—
358#2024—431no—
359#2016—431no—
360#1892—431no—
361#1892—431no—
362#1878—431no—
363#1878D4311yescharacteristic, complemented
364#1863—431no—
365#1863—431no—
366C2×#336—431no—
367C2×C43#243011yescharacteristic
368C2×C43C2×#45111yescharacteristic
369C2×C43#300211yescharacteristic
370C2×C43#317011yescharacteristic
371C2×C43#318111yescharacteristic
372C2×C43#324811yescharacteristic
373C2×C43#324911yescharacteristic
374D43—24no—
375C22×Q16—431no—
376C22×Q16C2×D4311yescharacteristic
377C23×C8—431no—
378C23×C8—431no—
379#533—864no—
380#533—864no—
381C2×C4⋊Q8—431no—
382C2×C4⋊Q8—431no—
383C2×#125—861no—
384C2×C22⋊Q8—431no—
385C2×C22⋊Q8—431no—
386C2×C22⋊Q8—431no—
387C2×C22⋊Q8—861no—
388C2×C4×Q8—431no—
389C2×C4×Q8—861no—
390C2×C4×Q8C2×D4311yescharacteristic
391C2×#117—861no—
392C22×C42—431no—
393#467—864no—
394#467—864no—
395C2×#107—431no—
396C2×#107—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103C2×D4311yescharacteristic
404C2×#103C2×D4311yescharacteristic
405#391—431no—
406#391C2×D4311yescharacteristic
407#389—431no—
408#389—431no—
409#387—861no—
410#387—861no—
411#385—861no—
412#381—861no—
413#380—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340C2×D4311yescharacteristic
418#336—431no—
419#336—431no—
420#336—431no—
421#336C2×D4311yescharacteristic
422C43#2549811yescharacteristic, complemented, Sylow
423C22×Q8—431no—
424C22×Q8—861no—
425C22×Q8C22×D4311yescharacteristic
426C22×Q8C22×D4311yescharacteristic
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—431no—
430C2×Q16—22no—
431C2×Q16—22no—
432C2×Q16—41no—
433C2×Q16—862no—
434C2×Q16—862no—
435C2×Q16—1721no—
436C22×C8—431no—
437C22×C8—431no—
438C22×C8—862no—
439C22×C8—862no—
440C22×C8—862no—
441C22×C8—862no—
442C22×C8—1721no—
443C22×C8—1721no—
444C22×C8C22×D4311yescharacteristic
445C22×C8C22×D4311yescharacteristic
446C4⋊Q8—862no—
447C4⋊Q8—862no—
448C4⋊Q8—862no—
449C4⋊Q8—862no—
450#125—868no—
451C22⋊Q8—434no—
452C22⋊Q8—434no—
453C22⋊Q8—862no—
454C22⋊Q8—868no—
455C22⋊Q8—862no—
456C22⋊Q8—862no—
457C22⋊Q8—862no—
458C4×Q8—22no—
459C4×Q8—22no—
460C4×Q8—862no—
461C4×Q8—862no—
462C4×Q8—868no—
463#117—868no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C42—21no—
484C2×C42—431no—
485C2×C42—431no—
486C2×C42—431no—
487C2×C42—862no—
488C2×C42—862no—
489C2×C42—861no—
490C2×C42C22×D4311yescharacteristic
491#107—862no—
492#107—862no—
493#103—22no—
494#103—41no—
495#103—862no—
496#103—862no—
497#103—862no—
498#103—862no—
499#103—862no—
500#103—1721no—
501#95—21no—
502#95—21no—
503#95—861no—
504#95—861no—
505#95—861no—
506#95—861no—
507#95—861no—
508C24—431no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—432no—
521C2×Q8—864no—
522C2×Q8—861no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—1722no—
528C2×Q8—1722no—
529C2×Q8D4×D4312yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—431no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—434no—
538C22×C4—432no—
539C22×C4—432no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—1721no—
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556Q16—44no—
557Q16—1724no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—432no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—1724no—
570C2×C8—1724no—
571C2×C8#1062189812yes—
572C4⋊C4—24no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—432no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—1722no—
589C4⋊C4—1722no—
590C4⋊C4—1722no—
591C4⋊C4D4×D4312yes—
592C22⋊C4—864no—
593C22⋊C4—864no—
594C22⋊C4—1722no—
595C22⋊C4—1722no—
596C42—24no—
597C42—21no—
598C42—21no—
599C42—862no—
600C42—862no—
601C42—864no—
602C42—861no—
603C42—861no—
604C23—432no—
605C23—432no—
606C23—432no—
607C23—861no—
608C23—861no—
609C23—861no—
610C23—861no—
611C23C2×D4×D4311yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—862no—
621Q8—862no—
622Q8—1728no—
623Q8—1721no—
624Q8—1721no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—432no—
643C2×C4—432no—
644C2×C4—432no—
645C2×C4—868no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—1724no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4Q16×D4312yes—
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4C2×D4×D4311yescharacteristic
672C2×C4#41×D4311yescharacteristic
673C2×C4C2×#1062189811yescharacteristic
674C2×C4#1306337011yescharacteristic
675C2×C4#1306337211yescharacteristic
676C8—22no—
677C8—41no—
678C8—862no—
679C8—1721no—
680C22—434no—
681C22—862no—
682C22—862no—
683C22—862no—
684C22—862no—
685C22—862no—
686C22—862no—
687C22#120×D4311yescharacteristic
688C22#1458344611yescharacteristic
689C22#1458347811yescharacteristic
690C22C2×Q16×D4311yescharacteristic
691C22#135×D4311yescharacteristic
692C22#137×D4311yescharacteristic
693C22#1458369811yescharacteristic
694C4—22no—
695C4—41no—
696C4—42no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—862no—
701C4—862no—
702C4—862no—
703C4—3441no—
704C4—3441no—
705C4—1722no—
706C4—1722no—
707C4#1458353911yescharacteristic
708C4#1458354611yescharacteristic
709C4#1458354711yescharacteristic
710C4#1458355411yescharacteristic
711C2—864no—
712C2#1913820211yescharacteristic
713C2#451×D4311yescharacteristic
714C2#1914381611yescharacteristic
715C2#1914517811yescharacteristic
716C2#1914530211yescharacteristic
717C2#1914592911yescharacteristic
718C2#1914593811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1878C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
hypercenter#1878D43
hypocenterC43#25498
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1878

Complements

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

NH ≅ G/Ntype
5. #19135922C2semidirect
6. #19135840C2semidirect
7. #19135734C2semidirect
8. #19135693C2semidirect
11. #19134939C2semidirect
12. #19134852C2semidirect
13. #19134849C2semidirect
15. C43×#1878C2semidirect
184. C2×C4×D43Q16semidirect
363. #1878D43semidirect
422. C43#25498semidirect

Maximal subgroups

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

subgroupindex
C2×#145834532
C2×#145831392
C2×#145831372
#191429362
#191359222
#191358402
#191357342
#191356932
#191350172
#191350152
#191349392
#191348522
#191348492
#336×D432
C43×#18782
#2549843