Finite Group Databasebeta

← #25119026

Subgroups — #25119026

Order 11008.

1046 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583099C211yesmaximal, characteristic
2C2×#14583002C211yesmaximal, characteristic, complemented
3C2×#14582984C211yesmaximal, characteristic, complemented
4#19137659C211yesmaximal, characteristic
5#19137516C211yesmaximal, characteristic, complemented
6#19135419C211yesmaximal, characteristic
7#19135363C211yesmaximal, characteristic, complemented
8#19135293C211yesmaximal, characteristic, complemented
9#19135279C211yesmaximal, characteristic, complemented
10#19134948C211yesmaximal, characteristic, complemented
11#19134948C211yesmaximal, characteristic, complemented
12#19134857C211yesmaximal, characteristic, complemented
13#19134843C211yesmaximal, characteristic, complemented
14#19134467C211yesmaximal, characteristic, complemented
15C43×#1763C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×#10621884C2211yescharacteristic
18C2×#13063322C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×C4×D172—21no—
22C2×#13063287C2211yescharacteristic
23C2×#13063287C2211yescharacteristic
24#14583099C418yescomplemented
25#14583002—24no—
26#14582984—24no—
27C2×#13063258C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582801—21no—
39#14582800C2211yescharacteristic
40#14582800C2211yescharacteristic
41#14582798—21no—
42#14582798—21no—
43#14582798C2211yescharacteristic
44#14582798C2211yescharacteristic
45#14582777—21no—
46#14582777—21no—
47#14582765—21no—
48#14582765C2211yescharacteristic
49C4×C4⋊Dic43—21no—
50C4×C4⋊Dic43C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×D172—21no—
63C22×D172—21no—
64C22×D172C2311yescharacteristic
65C22×D172C2311yescharacteristic
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C2×#10621884—22no—
69C2×#10621884—22no—
70C2×#10621884—22no—
71C2×#10621884—22no—
72C2×#10621884C2×C414yescomplemented
73C2×#10621884C2×C414yescomplemented
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063322—22no—
77#13063322C2×C414yes—
78Q8×Dic43—22no—
79Q8×Dic43—22no—
80Q8×Dic43—41no—
81Q8×Dic43—41no—
82C4×D172—44no—
83#13063287—22no—
84#13063287—22no—
85#13063287—41no—
86#13063287—41no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43D411yescharacteristic
92C2×C4⋊Dic43D411yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43C2311yescharacteristic
104C2×C4×Dic43C2311yescharacteristic
105#13063258—22no—
106#13063256—22no—
107C4⋊(C43⋊C8)C2×C414yescomplemented
108#13063247—22no—
109#13063247—22no—
110#13063247—41no—
111#13063247—41no—
112#13063245C2×C414yescomplemented
113#13063245C2×C414yescomplemented
114#13063235—22no—
115C8×Dic43—22no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95D411yescharacteristic
121C43⋊#95D411yescharacteristic
122C22×Q8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C4×Q8×C43—22no—
126C4×Q8×C43C2×C414yescomplemented
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C42×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#103×C43—22no—
135#103×C43D414yescomplemented
136#97×C43—22no—
137#95×C43—21no—
138C23×D43—21no—
139C23×D43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43C22×C412yes—
144C2×Q8×C43C2×D412yes—
145C2×Q8×C43#4112yes—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2411yescharacteristic
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43C2×D411yescharacteristic
156C22×Dic43C2×D411yescharacteristic
157C22×Dic43C2×D411yescharacteristic
158C22×Dic43C2×D411yescharacteristic
159C2×D172—24no—
160C2×D172—21no—
161C2×D172—21no—
162C2×D172—24no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—42no—
172C2×D172—42no—
173C2×D172—81no—
174C2×D172—81no—
175C2×D172C22×C412yes—
176C2×D172C22×C412yes—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—81no—
182C2×C4×D43—81no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43C2×D412yes—
189C4⋊C4×C43—24no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43C22×C412yes—
195C4⋊C4×C43C2×D412yes—
196C42×C43—24no—
197C42×C43—42no—
198C42×C43C22×C412yes—
199C42×C43#4112yes—
200#10621884—28no—
201#10621884—28no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—81no—
207(C2×D43)⋊C4—81no—
208C4⋊Dic43—22no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—41no—
214C4⋊Dic43—42no—
215C4⋊Dic43—42no—
216C4⋊Dic43—42no—
217C4⋊Dic43—42no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—21no—
222C4×Dic43—42no—
223C4×Dic43—42no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8C22×C412yes—
229C2×C43⋊C8C22×C412yes—
230C23×C43C22×D411yescharacteristic
231C22×D43—22no—
232C22×D43—22no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—22no—
248Q8×C43C4×D414yescomplemented
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43C4×D412yes—
266C2×C4×C43C4×D412yes—
267C2×C4×C43C23×C411yescharacteristic
268C2×C4×C43C22×D411yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C432−1+411yescharacteristic
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43AGL(1,ℤ/8)12yes—
291D172—22no—
292D172—22no—
293D172—22no—
294D172—22no—
295D172—48no—
296D172—41no—
297D172—41no—
298D172—41no—
299D172—41no—
300D172—84no—
301C4×D43—84no—
302C4×D43—84no—
303C8×C43—22no—
304C8×C43—41no—
305C43⋊C8—22no—
306C43⋊C8—22no—
307#23010—431nomaximal, Sylow
308C22×C43C2×C4×D411yescharacteristic
309C22×C43D4211yescharacteristic
310C22×C43#54811yescharacteristic
311C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C43#57511yescharacteristic
313C22×C43#57711yescharacteristic
314C22×C43#57711yescharacteristic
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—81no—
322C2×D43—81no—
323C2×D43—81no—
324C2×D43—81no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C4×C43—24no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—81no—
335C4×C43C2×C4×D411yescharacteristic
336C4×C43#52011yescharacteristic
337C4×C43#54711yescharacteristic
338C4×C43#55311yescharacteristic
339Dic43—22no—
340Dic43—41no—
341Dic43—41no—
342Dic43—41no—
343Dic43—81no—
344Dic43—81no—
345C2×#460—431no—
346C2×#440—431no—
347C2×C4×SD16—431no—
348#2366—431no—
349#2351—431no—
350#1961—431no—
351#1949—431no—
352#1936—431no—
353#1934—431no—
354#1880—431no—
355#1880—431no—
356#1864—431no—
357#1862—431no—
358#1771—431no—
359#1763D4311yescharacteristic, complemented
360C2×C43#236111yescharacteristic
361C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
362C2×C43#294911yescharacteristic
363C2×C43#326511yescharacteristic
364C2×C43#327111yescharacteristic
365C2×C43#336811yescharacteristic
366C2×C43#337111yescharacteristic
367D43—82no—
368D43—82no—
369C22×SD16—431no—
370C22×SD16—431no—
371C2×#127—431no—
372C2×C4×Q8—431no—
373C2×C4×Q8—431no—
374C2×C4×Q8C2×D4311yescharacteristic
375C2×C4×D4—431no—
376C2×C4×D4—431no—
377C2×C4×D4—861no—
378#460—438no—
379#440—864no—
380C4×SD16—864no—
381C2×#107—431no—
382C2×#106—431no—
383C2×C4⋊C8—431no—
384C2×#103C2×D4311yescharacteristic
385C2×#103C2×D4311yescharacteristic
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×#97—431no—
393C2×#97C2×D4311yescharacteristic
394C2×C4×C8—431no—
395#390—431no—
396#390—431no—
397#390—861no—
398#389—431no—
399#389—431no—
400#389—861no—
401#389—861no—
402#386—861no—
403#386—861no—
404#382—431no—
405#382—861no—
406C4×C4⋊C4—431no—
407C4×C4⋊C4—861no—
408C4×C4⋊C4C2×D4311yescharacteristic
409#340—431no—
410#340—431no—
411#340C2×D4311yescharacteristic
412#340C2×D4311yescharacteristic
413#336—431no—
414#336—431no—
415C43#2301011yescharacteristic, complemented, Sylow
416C22×Q8C22×D4311yescharacteristic
417C22×D4—431no—
418C22×D4—431no—
419C22×D4—861no—
420C22×D4—861no—
421C23×C4—861no—
422C23×C4—861no—
423C2×SD16—434no—
424C2×SD16—434no—
425C2×SD16—862no—
426C2×SD16—862no—
427C2×SD16—862no—
428C2×SD16—862no—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#127—434no—
434#127—862no—
435C4×Q8—22no—
436C4×Q8—862no—
437C4×Q8—862no—
438C4×Q8—1721no—
439C4×Q8—1721no—
440C4×Q8C4×D4314yescomplemented
441C4×D4—862no—
442C4×D4—862no—
443C4×D4—1724no—
444C4×D4—1721no—
445C4×D4—1721no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C4⋊C4C22×D4311yescharacteristic
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—21no—
465C2×C42—21no—
466C2×C42—431no—
467C2×C42—431no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42C22×D4311yescharacteristic
471#107—862no—
472#106—862no—
473C4⋊C8—434no—
474#103—22no—
475#103D17214yescomplemented
476#102—434no—
477#102—434no—
478#102—862no—
479#102—862no—
480#102—1721no—
481#102—1721no—
482#97—22no—
483#97—862no—
484C4×C8—862no—
485#95—21no—
486#95—431no—
487#95—431no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—861no—
493C24—861no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8C2×C4×D4312yes—
498C2×Q8C2×D17212yes—
499C2×Q8#1062189812yes—
500C2×D4—432no—
501C2×D4—432no—
502C2×D4—864no—
503C2×D4—864no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—861no—
508C2×D4—861no—
509C2×D4—861no—
510C2×D4—861no—
511C2×D4—861no—
512C2×D4—861no—
513C2×D4—861no—
514C2×D4—3441no—
515C2×D4—3441no—
516C2×D4—1722no—
517C2×D4—1722no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—3441no—
529C22×C4—3441no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538SD16—868no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—432no—
545C2×C8—432no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8C2×D17212yes—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—862no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—1721no—
562C4⋊C4—1722no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4C2×C4×D4312yes—
567C4⋊C4C2×D17212yes—
568C22⋊C4—3441no—
569C22⋊C4—3441no—
570C22⋊C4—1722no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C42—24no—
575C42—42no—
576C42—861no—
577C42—861no—
578C42—861no—
579C42—861no—
580C42—1722no—
581C42—1722no—
582C42C2×C4×D4312yes—
583C42#1062190012yes—
584C23—862no—
585C23—862no—
586C23—1721no—
587C23—1721no—
588C23—1721no—
589C23—1721no—
590C23—1721no—
591C23—1721no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C2×D4×D4311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8C4×D17214yescomplemented
603D4—862no—
604D4—862no—
605D4—862no—
606D4—862no—
607D4—3444no—
608D4—1728no—
609D4—1721no—
610D4—1721no—
611D4—1721no—
612D4—1721no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—432no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—3444no—
642C2×C4—3444no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4(C22⋊D43)⋊C412yes—
650C2×C4(C22⋊D43)⋊C412yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C22×D17211yescharacteristic
653C2×C4C2×#1062190011yescharacteristic
654C2×C4C2×#1062189811yescharacteristic
655C2×C4#1306337111yescharacteristic
656C2×C4#1306337211yescharacteristic
657C8—22no—
658C8—41no—
659C8—862no—
660C8—862no—
661C22—3441no—
662C22—3441no—
663C22—3441no—
664C22—3441no—
665C22—3441no—
666C22—3441no—
667C22—3441no—
668C22—3441no—
669C22—1722no—
670C22—1722no—
671C22—1722no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22C2×(C22⋊D43)⋊C411yescharacteristic
676C22D4×D17211yescharacteristic
677C22#1458355811yescharacteristic
678C22AGL(1,ℤ/8)×D4311yescharacteristic
679C22#1458369811yescharacteristic
680C22#1458370811yescharacteristic
681C22#1458370811yescharacteristic
682C4—22no—
683C4—24no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—81no—
688C4—862no—
689C4—3441no—
690C4—3441no—
691C4—1721no—
692C4—1721no—
693C4—1721no—
694C4C2×C4×D17211yescharacteristic
695C4#1458337911yescharacteristic
696C4#1458355311yescharacteristic
697C4#1458359511yescharacteristic
698C2—3442no—
699C2—3442no—
700C2#1913760911yescharacteristic
701C2#1914340811yescharacteristic
702C2#1914345011yescharacteristic
703C2#1914609211yescharacteristic
704C2#1914618211yescharacteristic
705C2#1914732511yescharacteristic
706C2#1914736411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1763C2
socleC23×C43C22×D4
prime radicalC2×#13063322C22
cosocleC22×C4×C43C24
hypercenter#1763D43
hypocenterC43#23010
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1763

Complements

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

NH ≅ G/Ntype
2. C2×#14583002C2semidirect
3. C2×#14582984C2semidirect
5. #19137516C2semidirect
7. #19135363C2semidirect
8. #19135293C2semidirect
9. #19135279C2semidirect
10. #19134948C2semidirect
11. #19134948C2semidirect
12. #19134857C2semidirect
13. #19134843C2semidirect
14. #19134467C2semidirect
15. C43×#1763C2semidirect
24. #14583099C4semidirect
72. C2×#10621884C2×C4semidirect
73. C2×#10621884C2×C4semidirect
107. C4⋊(C43⋊C8)C2×C4semidirect
112. #13063245C2×C4semidirect
113. #13063245C2×C4semidirect
126. C4×Q8×C43C2×C4semidirect
135. #103×C43D4semidirect
248. Q8×C43C4×D4semidirect
359. #1763D43semidirect
415. C43#23010semidirect
440. C4×Q8C4×D43semidirect
475. #103D172semidirect
602. Q8C4×D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145830992
C2×#145830022
C2×#145829842
#191376592
#191375162
#191354192
#191353632
#191352932
#191352792
#191349482
#191348572
#191348432
#191344672
C43×#17632
#2301043