Finite Group Databasebeta

← #25154076

Subgroups — #25154076

Order 11008.

1032 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583187C211yesmaximal, characteristic, complemented
2C2×#14582900C211yesmaximal, characteristic
3#19138298C211yesmaximal, characteristic, complemented
4#19137425C211yesmaximal, characteristic
5#19136136C211yesmaximal, characteristic, complemented
6#19135986C211yesmaximal, characteristic, complemented
7#19135974C211yesmaximal, characteristic, complemented
8#19135734C211yesmaximal, characteristic, complemented
9#19134858C211yesmaximal, characteristic, complemented
10#19134840C211yesmaximal, characteristic, complemented
11#19134790C211yesmaximal, characteristic, complemented
12#19134777C211yesmaximal, characteristic, complemented
13#19134626C211yesmaximal, characteristic, complemented
14#19134593C211yesmaximal, characteristic, complemented
15C43×#1788C211yesmaximal, characteristic
16C22×#10621877C2211yescharacteristic
17C2×#13063324C2211yescharacteristic
18C2×#13063302—21no—
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C22×C4⋊Dic43C2211yescharacteristic
22#14583187—24no—
23C2×#13063258C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063257C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29#14582900—24no—
30C2×#13063249C2211yescharacteristic
31C2×#13063249C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34#14582833—21no—
35#14582820—21no—
36#14582806C2211yescharacteristic
37#14582806C2211yescharacteristic
38#14582798C2211yescharacteristic
39#14582795C2211yescharacteristic
40#14582779—21no—
41#14582779—21no—
42#14582771—21no—
43#14582768C2211yescharacteristic
44#14582762—21no—
45#14582759C2211yescharacteristic
46C4×C22⋊Dic43C2211yescharacteristic
47C2×C43⋊#95—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×#41×C43C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#380C2211yescharacteristic
61C22×Dic86—21no—
62C23×Dic43—21no—
63C23×Dic43—21no—
64C23×Dic43—21no—
65C2×#10621877—22no—
66C2×#10621877—22no—
67C2×#10621877—41no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063324—22no—
71#13063324—41no—
72#13063302—44no—
73D4×Dic43—22no—
74D4×Dic43—22no—
75D4×Dic43—41no—
76D4×Dic43—41no—
77C2×C4⋊Dic43—22no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43—21no—
80C2×C4⋊Dic43—41no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43D411yescharacteristic
93C2×C22⋊Dic43D411yescharacteristic
94C2×C4×Dic43C2311yescharacteristic
95C2×C4×Dic43C2311yescharacteristic
96#13063258—41no—
97#13063257—22no—
98#13063257—41no—
99#13063256—22no—
100Dic43⋊C8—22no—
101Dic43⋊C8—41no—
102#13063249—22no—
103#13063249—22no—
104#13063246—22no—
105#13063246D414yes—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95D411yescharacteristic
114C43⋊#95D411yescharacteristic
115C2×#41×C43—22no—
116C2×#41×C43—22no—
117C2×#41×C43—22no—
118C2×#41×C43—41no—
119C2×#41×C43—41no—
120C2×#41×C43Q814yescomplemented
121C22×Q8×C43C2311yescharacteristic
122C22×D4×C43—21no—
123C22×D4×C43C2311yescharacteristic
124C23×C4×C43—21no—
125C23×C4×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131#103×C43—41no—
132#103×C43—41no—
133#102×C43—22no—
134#102×C43—22no—
135C22⋊C8×C43—22no—
136#95×C43—21no—
137C24×C43—21no—
138C24×C43C2×D411yescharacteristic
139#41×C43—28no—
140#41×C43—44no—
141#41×C43—44no—
142#41×C43—44no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C2×Q812yes—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—24no—
153C2×D4×C43—42no—
154C2×D4×C43—42no—
155C2×D4×C43C2×D412yes—
156C2×D4×C43C2×Q812yes—
157C2×D4×C43#4112yes—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—24no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—42no—
167C22×C4×C43—42no—
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×Q812yes—
170C22×C4×C43#4112yes—
171C22×C4×C43C2411yescharacteristic
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—42no—
177C22×Dic43—42no—
178C22×Dic43—42no—
179C22×Dic43—42no—
180C22×Dic43—42no—
181C22×Dic43—42no—
182C22×Dic43—81no—
183C22×Dic43—81no—
184C22×Dic43—81no—
185C22×Dic43C2×D411yescharacteristic
186C22×Dic43C2×D411yescharacteristic
187C22×Dic43C2×D411yescharacteristic
188C22×Dic43C2×D411yescharacteristic
189C2×Dic86—42no—
190C2×Dic86—42no—
191C2×Dic86—81no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C22⋊C4×C43—42no—
203C22⋊Dic43—22no—
204C22⋊Dic43—22no—
205C22⋊Dic43—42no—
206C22⋊Dic43—42no—
207C22⋊Dic43—81no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—42no—
216C4⋊Dic43—42no—
217C4⋊Dic43C2×D412yes—
218Dic43⋊C4—42no—
219Dic43⋊C4—42no—
220Dic43⋊C4—42no—
221Dic43⋊C4—81no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226#10621877—44no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8C2×D412yes—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—21no—
236C23×C43—22no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43C22⋊Q812yes—
247C23×C43C22×D411yescharacteristic
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—48no—
256D4×C43C22⋊Q814yescomplemented
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—48no—
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—41no—
273C2×C4×C43C22⋊Q812yes—
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C22×Q811yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—41no—
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—84no—
303C2×Dic43—84no—
304C2×Dic43—84no—
305C2×Dic43AGL(1,ℤ/8)12yes—
306C2×Dic43#13712yes—
307Dic86—84no—
308C8×C43—41no—
309C8×C43—41no—
310C43⋊C8—22no—
311C43⋊C8—41no—
312#25978—431nomaximal, Sylow
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—24no—
316C22×C43—22no—
317C22×C43—41no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—41no—
322C22×C43—42no—
323C22×C43—41no—
324C22×C43—42no—
325C22×C43—41no—
326C22×C43—42no—
327C22×C43C2×C22⋊Q811yescharacteristic
328C22×C43D4211yescharacteristic
329C22×C43#54611yescharacteristic
330C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
331C22×C43C2×#13711yescharacteristic
332C22×C43#57711yescharacteristic
333C22×C43#57711yescharacteristic
334C4×C43—22no—
335C4×C43—42no—
336C4×C43—81no—
337C4×C43—81no—
338C4×C43C2×C22⋊Q811yescharacteristic
339C4×C43#54311yescharacteristic
340C4×C43#54611yescharacteristic
341C4×C43#55111yescharacteristic
342Dic43—22no—
343Dic43—22no—
344Dic43—41no—
345Dic43—41no—
346Dic43—42no—
347Dic43—81no—
348Dic43—81no—
349Dic43—81no—
350C2×#476—431no—
351C2×#417—431no—
352#2440—431no—
353#2339—431no—
354#2096—431no—
355#2068—431no—
356#2066—431no—
357#2024—431no—
358#1864—431no—
359#1862—431no—
360#1853—431no—
361#1851—431no—
362#1809—431no—
363#1802—431no—
364#1788D4311yescharacteristic
365C2×C43—42no—
366C2×C43—44no—
367C2×C43#243711yescharacteristic
368C2×C43#307911yescharacteristic
369C2×C43#308411yescharacteristic
370C2×C43#326611yescharacteristic
371C2×C43#327211yescharacteristic
372C2×C43#330611yescharacteristic
373C2×C43#333111yescharacteristic
374C22×#41C2×D4311yescharacteristic
375C22×M16—431no—
376C2×C4⋊Q8—431no—
377C2×C22⋊Q8—861no—
378C2×C4×D4—431no—
379C2×C4×D4—431no—
380C22×C4⋊C4—431no—
381#476—864no—
382C2×#107—431no—
383C2×#106—431no—
384C2×#106—431no—
385C2×#106—431no—
386C2×C4⋊C8—431no—
387C2×C4⋊C8—431no—
388#417—864no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103C2×D4311yescharacteristic
392C2×#103C2×D4311yescharacteristic
393C2×#102—431no—
394C2×#102—431no—
395C2×#102C2×D4311yescharacteristic
396C2×#102C2×D4311yescharacteristic
397C2×C22⋊C8C2×D4311yescharacteristic
398#398—861no—
399#395—861no—
400#391—431no—
401#391—431no—
402#389—431no—
403#389—431no—
404#386—861no—
405#386—861no—
406#385—861no—
407#384—431no—
408#381—861no—
409#380—431no—
410#380C2×D4311yescharacteristic
411C4×C22⋊C4—431no—
412C2×#95—861no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419C43#2597811yescharacteristic, complemented, Sylow
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C2×#41Dic8614yescomplemented
426C22×Q8—861no—
427C22×Q8C22×D4311yescharacteristic
428C22×D4—21no—
429C22×D4C22×D4311yescharacteristic
430C23×C4—21no—
431C23×C4—861no—
432C23×C4—861no—
433C23×C4—861no—
434C23×C4C22×D4311yescharacteristic
435C2×M16—862no—
436C2×M16—862no—
437C2×M16—1721no—
438C22×C8—431no—
439C22×C8—431no—
440C22×C8C22×D4311yescharacteristic
441C22×C8C22×D4311yescharacteristic
442C4⋊Q8—862no—
443C4⋊Q8—1721no—
444C22⋊Q8—1724no—
445C4×D4—862no—
446C4×D4—862no—
447C4×D4—1721no—
448C4×D4—1721no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—862no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—1721no—
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—431no—
465C2×C22⋊C4—431no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C42—431no—
470C2×C42—431no—
471#107—1721no—
472#106—862no—
473#106—862no—
474#106—1721no—
475C4⋊C8—862no—
476C4⋊C8—1721no—
477#103—41no—
478#103—41no—
479#103—862no—
480#103—862no—
481#102—22no—
482#102—22no—
483#102—434no—
484#102—862no—
485C22⋊C8—22no—
486#95—21no—
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—21no—
497C24D4×D4311yescharacteristic
498#41—28no—
499#41—44no—
500#41—44no—
501#41—44no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—3441no—
508C2×Q8—1722no—
509C2×Q8—1722no—
510C2×Q8C2×Dic8612yes—
511C2×D4—24no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4C2×Dic8612yes—
518C2×D4D4×D4312yes—
519C2×D4#1062190012yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4—3441no—
541C22×C4—1722no—
542C22×C4—1722no—
543C22×C4—1722no—
544C22×C4—1722no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4C2×Dic8612yes—
548C22×C4D4×D4311yescharacteristic
549C22×C4#1062190012yes—
550C22×C4C23×D4311yescharacteristic
551M16—1724no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—432no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—432no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—3441no—
577C4⋊C4—1722no—
578C4⋊C4—1722no—
579C4⋊C4—1722no—
580C4⋊C4—1722no—
581C4⋊C4—1722no—
582C22⋊C4—42no—
583C22⋊C4—862no—
584C22⋊C4—862no—
585C22⋊C4—3441no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C42—861no—
589C42—861no—
590C42—861no—
591C42—861no—
592C23—22no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—22no—
598C23—21no—
599C23—22no—
600C23—21no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#1306330212yes—
606C23C2×D4×D4311yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—3444no—
612D4—22no—
613D4—22no—
614D4—22no—
615D4—48no—
616D4#1306330214yescomplemented
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—48no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—432no—
634C2×C4—432no—
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—862no—
645C2×C4—861no—
646C2×C4—3444no—
647C2×C4—3444no—
648C2×C4—3444no—
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—1721no—
659C2×C4—1721no—
660C2×C4#1306330212yes—
661C2×C4C2×D4×D4311yescharacteristic
662C2×C4C22×Dic8611yescharacteristic
663C2×C4C2×#1062190011yescharacteristic
664C2×C4C2×#1062190011yescharacteristic
665C2×C4#1306337011yescharacteristic
666C2×C4#1306337011yescharacteristic
667C8—41no—
668C8—41no—
669C8—862no—
670C8—1721no—
671C22—22no—
672C22—22no—
673C22—24no—
674C22—22no—
675C22—42no—
676C22—42no—
677C22—41no—
678C22—42no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—41no—
683C22—42no—
684C22—42no—
685C22C2×#1306330211yescharacteristic
686C22#1458353111yescharacteristic
687C22#1458353611yescharacteristic
688C22AGL(1,ℤ/8)×D4311yescharacteristic
689C22#137×D4311yescharacteristic
690C22#1458370611yescharacteristic
691C22#1458370611yescharacteristic
692C4—22no—
693C4—42no—
694C4—81no—
695C4—81no—
696C4—862no—
697C4—862no—
698C4—3441no—
699C4—3441no—
700C4—3441no—
701C4—1721no—
702C4—1721no—
703C4—1722no—
704C4C2×#1306330211yescharacteristic
705C4#1458352511yescharacteristic
706C4#1458353611yescharacteristic
707C4#1458358011yescharacteristic
708C2—42no—
709C2—44no—
710C2#1913826111yescharacteristic
711C2#1914440611yescharacteristic
712C2#1914445511yescharacteristic
713C2#1914610311yescharacteristic
714C2#1914618811yescharacteristic
715C2#1914654911yescharacteristic
716C2#1914690411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1788C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
hypercenter#1788D43
hypocenterC43#25978
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1788

Complements

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

NH ≅ G/Ntype
1. C2×#14583187C2semidirect
3. #19138298C2semidirect
5. #19136136C2semidirect
6. #19135986C2semidirect
7. #19135974C2semidirect
8. #19135734C2semidirect
9. #19134858C2semidirect
10. #19134840C2semidirect
11. #19134790C2semidirect
12. #19134777C2semidirect
13. #19134626C2semidirect
14. #19134593C2semidirect
120. C2×#41×C43Q8semidirect
256. D4×C43C22⋊Q8semidirect
419. C43#25978semidirect
425. C2×#41Dic86semidirect
616. D4#13063302semidirect

Maximal subgroups

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

subgroupindex
C2×#145831872
C2×#145829002
#191382982
#191374252
#191361362
#191359862
#191359742
#191357342
#191348582
#191348402
#191347902
#191347772
#191346262
#191345932
C43×#17882
#2597843