Finite Group Databasebeta

← #25102822

Subgroups — #25102822

Order 11008.

1136 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×#14583112C211yesmaximal, characteristic
2C2×#14582990C211yesmaximal, characteristic, complemented
3C2×D8×Dic43C211yesmaximal, characteristic
4#19137142C211yesmaximal, characteristic, complemented
5C4×D4×Dic43C211yesmaximal, characteristic, complemented
6#19135526C211yesmaximal, characteristic, complemented
7#19135366C211yesmaximal, characteristic, complemented
8#19135237C211yesmaximal, characteristic, complemented
9#19135219C211yesmaximal, characteristic, complemented
10#19134929C211yesmaximal, characteristic, complemented
11#19134603C211yesmaximal, characteristic, complemented
12#19134443C211yesmaximal, characteristic, complemented
13#19134414C211yesmaximal, characteristic, complemented
14#102×Dic43C211yesmaximal, characteristic, complemented
15C43×#1879C211yesmaximal, characteristic
16C22×#10621883C2211yescharacteristic
17C2×#13063312C2211yescharacteristic
18C2×#13063290C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×D4×Dic43C2211yescharacteristic
22C22×C4×Dic43—21no—
23#14583112C418yescomplemented
24#14582990—24no—
25D8×Dic43—24no—
26C2×#13063259C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29C2×Dic43⋊C8C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×#13063246C2211yescharacteristic
35C2×#13063246C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582805C2211yescharacteristic
39#14582787—21no—
40#14582787—21no—
41#14582764C2211yescharacteristic
42C4⋊C4×Dic43C2211yescharacteristic
43C4⋊C4×Dic43C2211yescharacteristic
44C4×C4⋊Dic43C2211yescharacteristic
45C22⋊C4×Dic43—21no—
46C22⋊C4×Dic43—21no—
47C22⋊C4×Dic43—21no—
48C22⋊C4×Dic43—21no—
49C4×C22⋊Dic43—21no—
50C42×Dic43C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582654C2211yescharacteristic
55C22×D8×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#390C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C23×Dic43—21no—
64C23×Dic43—21no—
65C23×Dic43—21no—
66C2×#10621883—22no—
67C2×#10621883—22no—
68C2×#10621883C2×C414yescomplemented
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063312—22no—
72#13063312C2×C414yescomplemented
73#13063290—22no—
74#13063290—22no—
75D4×Dic43—22no—
76D4×Dic43—22no—
77D4×Dic43—22no—
78D4×Dic43—22no—
79D4×Dic43C2×C414yescomplemented
80D4×Dic43D414yes—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—44no—
95C2×C4×Dic43D411yescharacteristic
96C2×C4×Dic43D411yescharacteristic
97C2×C4×Dic43D411yescharacteristic
98C2×C4×Dic43D411yescharacteristic
99C2×C4×Dic43C2311yescharacteristic
100C2×C4×Dic43C2311yescharacteristic
101#13063259—22no—
102#13063256—22no—
103Dic43⋊C8—22no—
104Dic43⋊C8C2×C414yescomplemented
105#13063250—22no—
106#13063250C2×C414yescomplemented
107#13063248—22no—
108#13063246—22no—
109#13063246—22no—
110#13063246C2×C414yescomplemented
111C8×Dic43—22no—
112C8×Dic43—22no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C22×D4×C43C2311yescharacteristic
121C22×D4×C43C2311yescharacteristic
122C23×C4×C43—21no—
123C2×D8×C43—22no—
124C2×D8×C43—22no—
125C2×D8×C43C2×C414yes—
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C4×D4×C43—22no—
129C4×D4×C43—22no—
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134C2×C22⋊C4×C43—21no—
135C2×C42×C43C2311yescharacteristic
136#102×C43—22no—
137#102×C43—22no—
138C24×C43—21no—
139C24×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43C22×C412yes—
149C2×D4×C43C22×C412yes—
150C2×D4×C43C2×D412yes—
151C2×D4×C43#4112yes—
152C22×C4×C43—24no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—42no—
156C22×C4×C43—42no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160C22×Dic43—24no—
161C22×Dic43—24no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—42no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183D8×C43—28no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43C22×C412yes—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43#4112yes—
194C22⋊C4×C43—24no—
195C22⋊C4×C43—42no—
196C22⋊C4×C43—42no—
197C42×C43—21no—
198C42×C43—21no—
199C22⋊Dic43—24no—
200C22⋊Dic43—24no—
201C22⋊Dic43—24no—
202C22⋊Dic43—24no—
203C22⋊Dic43—42no—
204#10621883—28no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43C22×C412yes—
210C4⋊Dic43C2×D412yes—
211Dic43⋊C4—42no—
212C4×Dic43—22no—
213C4×Dic43—22no—
214C4×Dic43—22no—
215C4×Dic43—41no—
216C4×Dic43—42no—
217C4×Dic43—42no—
218C4×Dic43—42no—
219C4×Dic43—42no—
220C4×Dic43C22×C412yes—
221C4×Dic43C2×D412yes—
222C4×Dic43#4112yes—
223C4×Dic43#4112yes—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8C22×C412yes—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43—22no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C22×D411yescharacteristic
245D4×C43—22no—
246D4×C43—22no—
247D4×C43—22no—
248D4×C43—22no—
249D4×C43—22no—
250D4×C43—41no—
251D4×C43—41no—
252D4×C43C4×D414yes—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—48no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43#13512yes—
266C2×C4×C43C23×C411yescharacteristic
267C2×C4×C43C22×D411yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—48no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—48no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—84no—
293C2×Dic43C4×D412yes—
294C2×Dic43C4×D412yes—
295C2×Dic43#12112yes—
296C2×Dic43#12112yes—
297C2×Dic43#13512yes—
298C2×Dic43AGL(1,ℤ/8)12yes—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303C8×C43—22no—
304C8×C43—41no—
305C43⋊C8—22no—
306C43⋊C8—41no—
307C4×#463—431nomaximal, Sylow
308C22×C43—24no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43C2×C4×D411yescharacteristic
323C22×C43C2×#12111yescharacteristic
324C22×C43#52511yescharacteristic
325C22×C43C2×#13511yescharacteristic
326C22×C43C2×#13511yescharacteristic
327C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C43#57511yescharacteristic
329C4×C43—22no—
330C4×C43—41no—
331C4×C43—42no—
332C4×C43—81no—
333C4×C43C2×C4×D411yescharacteristic
334C4×C43C4×#4111yescharacteristic
335C4×C43#52911yescharacteristic
336C4×C43#53211yescharacteristic
337Dic43—22no—
338Dic43—22no—
339Dic43—22no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—81no—
344Dic43#46314yescomplemented
345C2×#463—431no—
346C2×C4×SD16—431no—
347C2×C4×D8—431no—
348C4×#124—431no—
349C42×D4—431no—
350#1983—431no—
351#1949—431no—
352#1928—431no—
353#1926—431no—
354#1879D4311yescharacteristic
355#1877—431no—
356#1804—431no—
357C4×C4⋊C8—431no—
358C4×#103—431no—
359C4×#102—431no—
360C2×C43—44no—
361C2×C43—82no—
362C2×C43C4×#12111yescharacteristic
363C2×C43C4×#13511yescharacteristic
364C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
365C2×C43C2×#46311yescharacteristic
366C2×C43#303511yescharacteristic
367C2×C43#310211yescharacteristic
368C2×C43#310511yescharacteristic
369C22×SD16—431no—
370C22×D8C2×D4311yescharacteristic
371C2×#124—431no—
372C2×C4×Q8—431no—
373C2×C4×D4—431no—
374C2×C4×D4—431no—
375C2×C4×D4—431no—
376C2×C4×D4C2×D4311yescharacteristic
377C22×C42—861no—
378#463—438no—
379C4×SD16—864no—
380C4×D8—864no—
381C2×#107—431no—
382C2×#106—431no—
383C2×C4⋊C8—431no—
384C2×C4⋊C8—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102C2×D4311yescharacteristic
392C2×#102C2×D4311yescharacteristic
393C2×C4×C8—431no—
394C2×C4×C8—431no—
395#391—431no—
396#390C2×D4311yescharacteristic
397#388—861no—
398#388—861no—
399#382—431no—
400C4×C4⋊C4—431no—
401C4×C4⋊C4—431no—
402C4×C4⋊C4—431no—
403C4×C22⋊C4—861no—
404C4×C22⋊C4—861no—
405C4×C22⋊C4—861no—
406C4×C22⋊C4—861no—
407C4×C22⋊C4—861no—
408C43—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340C2×D4311yescharacteristic
413#336—431no—
414#336C2×D4311yescharacteristic
415C43C4×#46311yescharacteristic, complemented, Sylow
416C22×Q8—431no—
417C22×D4C22×D4311yescharacteristic
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—22no—
427C2×D8—22no—
428C2×D8C4×D4314yes—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#124—434no—
434#124—862no—
435C4×Q8—862no—
436C4×Q8—862no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—434no—
440C4×D4—434no—
441C4×D4—862no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—862no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C42—431no—
460C2×C42—431no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—431no—
464C2×C42—431no—
465C2×C42—861no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—1724no—
470C2×C42C22×D4311yescharacteristic
471#107—862no—
472#106—862no—
473C4⋊C8—434no—
474C4⋊C8—862no—
475#103—434no—
476#103—862no—
477#103—862no—
478#102—22no—
479#102—22no—
480#102—434no—
481#102—862no—
482#102—862no—
483C4×C8—862no—
484C4×C8—862no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—21no—
493C24—21no—
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—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4C2×C4×D4312yes—
509C2×D4C2×C4×D4312yes—
510C2×D4D4×D4312yes—
511C2×D4#1062190012yes—
512C22×C4—24no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—431no—
521C22×C4—864no—
522C22×C4—864no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—1722no—
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—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—432no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8C2×C4×D4312yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—432no—
555C4⋊C4—432no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—1722no—
561C4⋊C4#1062190012yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—864no—
566C22⋊C4—864no—
567C22⋊C4—864no—
568C22⋊C4—864no—
569C22⋊C4—1722no—
570C42—21no—
571C42—21no—
572C42—432no—
573C42—432no—
574C42—432no—
575C42—432no—
576C42—862no—
577C42—862no—
578C42—862no—
579C42—1721no—
580C42—1722no—
581C42—1722no—
582C42—1722no—
583C42—1722no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23C2×D4×D4311yescharacteristic
599Q8—862no—
600Q8—862no—
601Q8—1721no—
602Q8—1721no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—22no—
607D4—22no—
608D4—41no—
609D4—41no—
610D4(C22⋊D43)⋊C414yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—48no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—432no—
624C2×C4—432no—
625C2×C4—432no—
626C2×C4—432no—
627C2×C4—432no—
628C2×C4—432no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—3444no—
639C2×C4—1728no—
640C2×C4—1728no—
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—1721no—
650C2×C4#1306334412yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062190011yescharacteristic
656C2×C4C2×#1062190011yescharacteristic
657C8—22no—
658C8—41no—
659C8—862no—
660C8—1721no—
661C22—24no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C4×D4×D4311yescharacteristic
676C22#121×D4311yescharacteristic
677C22#1458340511yescharacteristic
678C22#135×D4311yescharacteristic
679C22C2×#1306334411yescharacteristic
680C22AGL(1,ℤ/8)×D4311yescharacteristic
681C22#1458369511yescharacteristic
682C4—22no—
683C4—41no—
684C4—42no—
685C4—81no—
686C4—434no—
687C4—862no—
688C4—862no—
689C4—862no—
690C4—3441no—
691C4—1722no—
692C4—1722no—
693C4—1722no—
694C4C2×(C22⋊D43)⋊C411yescharacteristic
695C4C4×#1062190011yescharacteristic
696C4#1458342611yescharacteristic
697C4#1458344411yescharacteristic
698C2—44no—
699C2—82no—
700C2#1913710511yescharacteristic
701C2C4×#1306334411yescharacteristic
702C2#1914340611yescharacteristic
703C2#463×D4311yescharacteristic
704C2#1914404311yescharacteristic
705C2#1914460611yescharacteristic
706C2#1914463711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1879C2
socleC23×C43C22×D4
prime radicalC22×D8×C43C22
cosocleC22×C4×C43C24
hypercenter#1879D43
hypocenterC43C4×#463
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
2. C2×#14582990C2semidirect
4. #19137142C2semidirect
5. C4×D4×Dic43C2semidirect
6. #19135526C2semidirect
7. #19135366C2semidirect
8. #19135237C2semidirect
9. #19135219C2semidirect
10. #19134929C2semidirect
11. #19134603C2semidirect
12. #19134443C2semidirect
13. #19134414C2semidirect
14. #102×Dic43C2semidirect
23. #14583112C4semidirect
68. C2×#10621883C2×C4semidirect
72. #13063312C2×C4semidirect
79. D4×Dic43C2×C4semidirect
104. Dic43⋊C8C2×C4semidirect
106. #13063250C2×C4semidirect
110. #13063246C2×C4semidirect
344. Dic43#463semidirect
415. C43C4×#463semidirect

Maximal subgroups

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

subgroupindex
C2×#145831122
C2×#145829902
C2×D8×Dic432
#191371422
C4×D4×Dic432
#191355262
#191353662
#191352372
#191352192
#191349292
#191346032
#191344432
#191344142
#102×Dic432
C43×#18792
C4×#46343