Finite Group Databasebeta

← #25119041

Subgroups — #25119041

Order 11008.

1058 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×#14583114C211yesmaximal, characteristic
2C2×#14582996C211yesmaximal, characteristic, complemented
3C2×#14582979C211yesmaximal, characteristic
4#19137666C211yesmaximal, characteristic, complemented
5D4×C4⋊Dic43C211yesmaximal, characteristic, complemented
6#19135411C211yesmaximal, characteristic, complemented
7#19135353C211yesmaximal, characteristic, complemented
8#19135293C211yesmaximal, characteristic, complemented
9#19135272C211yesmaximal, characteristic, complemented
10#19134941C211yesmaximal, characteristic
11#19134927C211yesmaximal, characteristic, complemented
12#19134850C211yesmaximal, characteristic, complemented
13#19134843C211yesmaximal, characteristic, complemented
14#19134467C211yesmaximal, characteristic, complemented
15C43×#1762C211yesmaximal, characteristic, complemented
16C22×#10621883C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×#13063313C2211yescharacteristic
19C2×#13063290C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×D4×Dic43C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C22×C4⋊Dic43—21no—
24#14583114C418yescomplemented
25#14582996—24no—
26#14582979—24no—
27C2×#13063258C2211yescharacteristic
28C2×#13063258C2211yescharacteristic
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582804C2211yescharacteristic
39#14582800C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582798C2211yescharacteristic
42#14582791—21no—
43#14582790—21no—
44#14582774—21no—
45#14582774—21no—
46#14582773—21no—
47#14582769C2211yescharacteristic
48#14582759—21no—
49C4×C4⋊Dic43C2211yescharacteristic
50C4×(C2×D43)⋊C4—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C23×Dic43—21no—
65C23×Dic43—21no—
66C22×C4×D43—21no—
67C2×#10621883—22no—
68C2×#10621883—22no—
69C2×#10621883C2×C414yescomplemented
70C2×#10621882—22no—
71C2×#10621882—22no—
72C2×#10621882C2×C414yes—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75#13063313—22no—
76#13063313C2×C414yescomplemented
77#13063290—22no—
78#13063290—41no—
79D4×Dic43—22no—
80D4×Dic43—22no—
81D4×Dic43—41no—
82D4×Dic43—41no—
83#13063287—22no—
84#13063287—41no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43—44no—
90C2×C4⋊Dic43D411yescharacteristic
91C2×C4⋊Dic43D411yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×Dic43⋊C4—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43C2311yescharacteristic
104C2×C4×Dic43C2311yescharacteristic
105#13063258—22no—
106#13063258—22no—
107C4⋊(C43⋊C8)C2×C414yescomplemented
108#13063250—22no—
109#13063250—41no—
110#13063248C2×C414yescomplemented
111#13063247—22no—
112#13063247—41no—
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×D4×C43C2311yescharacteristic
123C23×C4×C43—21no—
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C4×D4×C43—22no—
127C4×D4×C43C2×C414yescomplemented
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#102×C43—22no—
135#102×C43D414yes—
136#97×C43—22no—
137#95×C43—21no—
138C24×C43—21no—
139C23×D43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43C22×C412yes—
144C2×D4×C43C2×D412yes—
145C2×D4×C43#4112yes—
146C22×C4×C43—24no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—42no—
151C22×C4×C43—42no—
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—42no—
159C22×Dic43—42no—
160C22×Dic43—42no—
161C22×Dic43—42no—
162C22×Dic43—81no—
163C22×Dic43—81no—
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172C22×C412yes—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—81no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
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—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43C22×C412yes—
194C4⋊C4×C43C2×D412yes—
195C22⋊C4×C43—24no—
196C42×C43—81no—
197C42×C43C22×C412yes—
198C42×C43#4112yes—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201#10621883—28no—
202#10621882—28no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—24no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
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—81no—
218Dic43⋊C4—42no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—21no—
222C4×Dic43—21no—
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×C43—22no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C22×D411yescharacteristic
238C22×D43—22no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245D4×C43—22no—
246D4×C43—22no—
247D4×C43—22no—
248D4×C43C4×D414yes—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—48no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43C4×D412yes—
264C2×C4×C43C4×D412yes—
265C2×C4×C43C23×C411yescharacteristic
266C2×C4×C43C22×D411yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43H(5,𝔽2)11yescharacteristic
270C2×C4×C432−1+411yescharacteristic
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—22no—
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—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—84no—
292C2×Dic43—84no—
293C2×Dic43AGL(1,ℤ/8)12yes—
294D172—22no—
295D172—22no—
296D172—41no—
297D172—41no—
298C4×D43—84no—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303C8×C43—22no—
304C8×C43—41no—
305C43⋊C8—22no—
306C43⋊C8—22no—
307#23011—431nomaximal, Sylow
308C22×C43—24no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43C2×C4×D411yescharacteristic
316C22×C43D4211yescharacteristic
317C22×C43#54811yescharacteristic
318C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C43#57511yescharacteristic
320C22×C43#57611yescharacteristic
321C22×C43#57811yescharacteristic
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C4×C43—22no—
330C4×C43—22no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43—81no—
334C4×C43C2×C4×D411yescharacteristic
335C4×C43#52011yescharacteristic
336C4×C43#54711yescharacteristic
337C4×C43#55311yescharacteristic
338Dic43—22no—
339Dic43—42no—
340Dic43—41no—
341Dic43—41no—
342Dic43—41no—
343Dic43—81no—
344Dic43—81no—
345C2×#463—431no—
346C2×#440—431no—
347C2×C4×D8—431no—
348#2367—431no—
349D4×C4⋊C4—431no—
350#1959—431no—
351#1947—431no—
352#1936—431no—
353#1933—431no—
354#1879—431no—
355#1877—431no—
356#1863—431no—
357#1862—431no—
358#1771—431no—
359#1762D4311yescharacteristic, complemented
360C2×C43—44no—
361C2×C43#236111yescharacteristic
362C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
363C2×C43#295111yescharacteristic
364C2×C43#326411yescharacteristic
365C2×C43#326911yescharacteristic
366C2×C43#336711yescharacteristic
367C2×C43#337011yescharacteristic
368D43—82no—
369C22×SD16—431no—
370C22×D8—431no—
371C2×#124—431no—
372C2×C4×Q8—431no—
373C2×C4×D4—431no—
374C2×C4×D4—431no—
375C2×C4×D4—431no—
376C2×C4×D4C2×D4311yescharacteristic
377C22×C4⋊C4—861no—
378#463—438no—
379#440—864no—
380C4×D8—864no—
381C2×#107—431no—
382C2×#107—431no—
383C2×C4⋊C8—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102C2×D4311yescharacteristic
391C2×#102C2×D4311yescharacteristic
392C2×#97—431no—
393C2×#97C2×D4311yescharacteristic
394C2×C4×C8—431no—
395#391—431no—
396#390—431no—
397#389—431no—
398#389—431no—
399#388—861no—
400#388—861no—
401#385—861no—
402#385—861no—
403#385—861no—
404#384—431no—
405#380—861no—
406C4×C4⋊C4—431no—
407C4×C4⋊C4C2×D4311yescharacteristic
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340C2×D4311yescharacteristic
412#340C2×D4311yescharacteristic
413#336—431no—
414#336—431no—
415C43#2301111yescharacteristic, complemented, Sylow
416C22×Q8—431no—
417C22×D4—431no—
418C22×D4C22×D4311yescharacteristic
419C23×C4—21no—
420C23×C4—861no—
421C23×C4—861no—
422C23×C4—861no—
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C2×D8—434no—
427C2×D8—862no—
428C2×D8—862no—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#124—434no—
434#124—862no—
435C4×Q8—862no—
436C4×Q8—1721no—
437C4×D4—22no—
438C4×D4—862no—
439C4×D4—862no—
440C4×D4—862no—
441C4×D4—1721no—
442C4×D4—1721no—
443C4×D4—1721no—
444C4×D4C4×D4314yescomplemented
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4—1724no—
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C4⋊C4C22×D4311yescharacteristic
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C42—21no—
467C2×C42—431no—
468C2×C42—431no—
469C2×C42—861no—
470C2×C42C22×D4311yescharacteristic
471#107—862no—
472#107—862no—
473C4⋊C8—434no—
474#103—434no—
475#103—862no—
476#103—1721no—
477#102—22no—
478#102—434no—
479#102—862no—
480#102—1721no—
481#102D17214yes—
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—21no—
493C24—861no—
494C2×Q8—432no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×Q8—861no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—432no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—861no—
508C2×D4—861no—
509C2×D4C2×C4×D4312yes—
510C2×D4C2×D17212yes—
511C2×D4#1062189812yes—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—24no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—3441no—
526C22×C4—3441no—
527C22×C4—3441no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538D8—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—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—862no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—3441no—
561C4⋊C4—1721no—
562C4⋊C4—1722no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4C2×C4×D4312yes—
567C4⋊C4C2×D17212yes—
568C22⋊C4—24no—
569C22⋊C4—864no—
570C22⋊C4—864no—
571C22⋊C4—3441no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C22⋊C4—1722no—
576C42—81no—
577C42—861no—
578C42—861no—
579C42—861no—
580C42—861no—
581C42—1722no—
582C42C2×C4×D4312yes—
583C42#1062190012yes—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—862no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C2×D4×D4311yescharacteristic
599Q8—862no—
600Q8—862no—
601Q8—1721no—
602Q8—1721no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—862no—
607D4—862no—
608D4—1721no—
609D4—1721no—
610D4C4×D17214yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—48no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—432no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—862no—
629C2×C4—861no—
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—3444no—
639C2×C4—3444no—
640C2×C4—3444no—
641C2×C4—1721no—
642C2×C4—1721no—
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—24no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—3441no—
669C22—3441no—
670C22—3441no—
671C22—3441no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22C2×(C22⋊D43)⋊C411yescharacteristic
676C22D4×D17211yescharacteristic
677C22#1458355811yescharacteristic
678C22AGL(1,ℤ/8)×D4311yescharacteristic
679C22#1458369511yescharacteristic
680C22#1458370311yescharacteristic
681C22#1458371511yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—42no—
686C4—81no—
687C4—862no—
688C4—3441no—
689C4—3441no—
690C4—1722no—
691C4—1721no—
692C4—1721no—
693C4—1721no—
694C4C2×C4×D17211yescharacteristic
695C4#1458337911yescharacteristic
696C4#1458355311yescharacteristic
697C4#1458359511yescharacteristic
698C2—44no—
699C2—3442no—
700C2#1913760911yescharacteristic
701C2#1914339911yescharacteristic
702C2#1914346611yescharacteristic
703C2#1914607711yescharacteristic
704C2#1914615211yescharacteristic
705C2#1914731411yescharacteristic
706C2#1914735311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1762C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
cosocleC22×C4×C43C24
hypercenter#1762D43
hypocenterC43#23011
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#14582996C2semidirect
4. #19137666C2semidirect
5. D4×C4⋊Dic43C2semidirect
6. #19135411C2semidirect
7. #19135353C2semidirect
8. #19135293C2semidirect
9. #19135272C2semidirect
11. #19134927C2semidirect
12. #19134850C2semidirect
13. #19134843C2semidirect
14. #19134467C2semidirect
15. C43×#1762C2semidirect
24. #14583114C4semidirect
69. C2×#10621883C2×C4semidirect
76. #13063313C2×C4semidirect
107. C4⋊(C43⋊C8)C2×C4semidirect
110. #13063248C2×C4semidirect
113. #13063245C2×C4semidirect
127. C4×D4×C43C2×C4semidirect
359. #1762D43semidirect
415. C43#23011semidirect
444. C4×D4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831142
C2×#145829962
C2×#145829792
#191376662
D4×C4⋊Dic432
#191354112
#191353532
#191352932
#191352722
#191349412
#191349272
#191348502
#191348432
#191344672
C43×#17622
#2301143