Finite Group Databasebeta

← #25117263

Subgroups — #25117263

Order 11008.

1058 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q16×Dic43C211yesmaximal, characteristic, complemented
2C2×#14582908C211yesmaximal, characteristic
3#19137626C211yesmaximal, characteristic
4Q8×C22⋊Dic43C211yesmaximal, characteristic
5#19135467C211yesmaximal, characteristic, complemented
6#19135273C211yesmaximal, characteristic, complemented
7#19135238C211yesmaximal, characteristic, complemented
8#19135029C211yesmaximal, characteristic
9#19134938C211yesmaximal, characteristic, complemented
10#19134938C211yesmaximal, characteristic, complemented
11#19134865C211yesmaximal, characteristic, complemented
12#19134796C211yesmaximal, characteristic
13#19134427C211yesmaximal, characteristic, complemented
14#19134381C211yesmaximal, characteristic
15C2×C43×#451C211yesmaximal, characteristic
16C22×#10621877C2211yescharacteristic
17C2×Q8×Dic43C2211yescharacteristic
18C2×Q8×Dic43C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×#13063284C2211yescharacteristic
21Q16×Dic43—24no—
22C2×#13063259C2211yescharacteristic
23C2×#13063257C2211yescharacteristic
24#14582908—24no—
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063249C2211yescharacteristic
31C2×#13063235C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582806—21no—
34#14582806—21no—
35#14582806C2211yescharacteristic
36#14582806C2211yescharacteristic
37#14582806C2211yescharacteristic
38#14582798C2211yescharacteristic
39#14582792—21no—
40#14582792—21no—
41#14582785—21no—
42#14582759—21no—
43#14582759C2211yescharacteristic
44C4⋊C4×Dic43—21no—
45C4⋊C4×Dic43C2211yescharacteristic
46C4×C22⋊Dic43—21no—
47C4×C22⋊Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C23×Q8×C43C2211yescharacteristic
55C22×Q16×C43C2211yescharacteristic
56C22×Q16×C43C2211yescharacteristic
57C2×C22⋊Q8×C43C2211yescharacteristic
58C43×#451C418yescomplemented
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C2×C22⋊C8×C43C2211yescharacteristic
62C2×#10621877—22no—
63C2×#10621877—22no—
64C2×#10621877—41no—
65C22×C43⋊C8C2311yescharacteristic
66C22×C43⋊C8C2311yescharacteristic
67Q8×Dic43—22no—
68Q8×Dic43—22no—
69Q8×Dic43—22no—
70Q8×Dic43—41no—
71Q8×Dic43—41no—
72Q8×Dic43—41no—
73#13063284—22no—
74#13063284—41no—
75C2×C4⋊Dic43—21no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43D411yescharacteristic
86C2×C22⋊Dic43D411yescharacteristic
87C2×C4×Dic43—21no—
88C2×C4×Dic43—21no—
89C2×C4×Dic43—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43C2311yescharacteristic
93C2×C4×Dic43C2311yescharacteristic
94#13063259—22no—
95#13063257—41no—
96#13063249—22no—
97#13063249—22no—
98#13063249—22no—
99#13063249—22no—
100#13063249—41no—
101#13063249D414yes—
102#13063235—41no—
103C8×Dic43—22no—
104C43⋊#95—21no—
105C43⋊#95—21no—
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
115C22×Q8×C43—21no—
116C22×Q8×C43—22no—
117C22×Q8×C43—22no—
118C22×Q8×C43—22no—
119C22×Q8×C43—41no—
120C22×Q8×C43—41no—
121C22×Q8×C43C2×C414yes—
122C22×Q8×C43C2311yescharacteristic
123C22×Q8×C43C2311yescharacteristic
124C22×Q8×C43C2311yescharacteristic
125C23×C4×C43—21no—
126C23×C4×C43C2311yescharacteristic
127C2×Q16×C43—22no—
128C2×Q16×C43—22no—
129C2×Q16×C43—41no—
130C2×Q16×C43—41no—
131C2×Q16×C43C2×C414yes—
132C2×Q16×C43C2×C414yes—
133C22×C8×C43C2311yescharacteristic
134C22×C8×C43C2311yescharacteristic
135C22⋊Q8×C43—22no—
136C22⋊Q8×C43C2×C414yes—
137C2×C4⋊C4×C43—21no—
138C2×C4⋊C4×C43C2311yescharacteristic
139C2×C22⋊C4×C43—21no—
140#103×C43C2×C414yes—
141#103×C43C2×C414yes—
142C22⋊C8×C43C2×C414yes—
143C24×C43C2×D411yescharacteristic
144C2×Q8×C43—24no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—28no—
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—42no—
160C2×Q8×C43—42no—
161C2×Q8×C43—44no—
162C2×Q8×C43—44no—
163C2×Q8×C43—44no—
164C2×Q8×C43C22×C412yes—
165C2×Q8×C43C22×C412yes—
166C2×Q8×C43C22×C412yes—
167C2×Q8×C43C2×D412yes—
168C2×Q8×C43#4112yes—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—24no—
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43—42no—
179C22×C4×C43—42no—
180C22×C4×C43C22×C412yes—
181C22×C4×C43C2×D411yescharacteristic
182C22×C4×C43#4112yes—
183C22×C4×C43C2411yescharacteristic
184C22×Dic43—21no—
185C22×Dic43—21no—
186C22×Dic43—21no—
187C22×Dic43—21no—
188C22×Dic43C2×D411yescharacteristic
189C22×Dic43C2×D411yescharacteristic
190C22×Dic43C2×D411yescharacteristic
191C22×Dic43C2×D411yescharacteristic
192Q16×C43—28no—
193Q16×C43—44no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43C22×C412yes—
199C2×C8×C43C22×C412yes—
200C4⋊C4×C43—24no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43C22×C412yes—
203C22⋊C4×C43—24no—
204C22⋊Dic43—22no—
205C22⋊Dic43—41no—
206C22⋊Dic43—42no—
207C22⋊Dic43—42no—
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⋊Dic43—42no—
218C4⋊Dic43—42no—
219C4⋊Dic43C2×D412yes—
220C4×Dic43—21no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—42no—
225C4×Dic43—42no—
226C4×Dic43—42no—
227C4×Dic43—42no—
228C4×Dic43—42no—
229#10621877—44no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8C2×D412yes—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43C4×D412yes—
243C23×C43C22×D411yescharacteristic
244Q8×C43—22no—
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—48no—
252Q8×C43—41no—
253Q8×C43—41no—
254Q8×C43—41no—
255Q8×C43—41no—
256Q8×C43C4×D414yes—
257C2×C4×C43—22no—
258C2×C4×C43—21no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—48no—
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×C43C4×D412yes—
277C2×C4×C43C23×C411yescharacteristic
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43H(5,𝔽2)11yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—22no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43#13712yes—
307C8×C43—22no—
308C8×C43—22no—
309C43⋊C8—22no—
310C43⋊C8—41no—
311#22881—431nomaximal, Sylow
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43C2×C4×D411yescharacteristic
320C22×C43D4211yescharacteristic
321C22×C43#54611yescharacteristic
322C22×C43C2×#13711yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57811yescharacteristic
325C22×C43#57811yescharacteristic
326C4×C43—22no—
327C4×C43—24no—
328C4×C43—42no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43C2×C4×D411yescharacteristic
332C4×C43#51811yescharacteristic
333C4×C43#54611yescharacteristic
334C4×C43#55111yescharacteristic
335Dic43—22no—
336Dic43—41no—
337Dic43—41no—
338Dic43—42no—
339Dic43—41no—
340Dic43—81no—
341Dic43—81no—
342Dic43—81no—
343C2×#451D4311yescharacteristic
344C2×C4×Q16—431no—
345C2×#419—431no—
346#2362—431no—
347Q8×C22⋊C4—431no—
348#1971—431no—
349#1933—431no—
350#1928—431no—
351#1894—431no—
352#1878—431no—
353#1878—431no—
354#1865—431no—
355#1854—431no—
356#1763—431no—
357#1753—431no—
358C2×C43—42no—
359C2×C43#235811yescharacteristic
360C2×C43C4×#13711yescharacteristic
361C2×C43#295011yescharacteristic
362C2×C43#326911yescharacteristic
363C2×C43#327011yescharacteristic
364C2×C43#332711yescharacteristic
365C2×C43#332811yescharacteristic
366C23×Q8C2×D4311yescharacteristic
367C22×Q16C2×D4311yescharacteristic
368C22×Q16C2×D4311yescharacteristic
369C22×M16—431no—
370C2×C22⋊Q8C2×D4311yescharacteristic
371C2×C4×Q8—431no—
372C2×C4×Q8—431no—
373C2×C4×Q8—431no—
374C2×#117—431no—
375#451Dic4318yescomplemented
376C4×Q16—864no—
377C2×#107—431no—
378C2×#106—431no—
379#419—864no—
380C2×#103—431no—
381C2×#103—431no—
382C2×#103—431no—
383C2×#103—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#103C2×D4311yescharacteristic
387C2×#103C2×D4311yescharacteristic
388C2×C22⋊C8C2×D4311yescharacteristic
389C2×#97—431no—
390C2×C4×C8—431no—
391#391—431no—
392#391—431no—
393#391—431no—
394#391—861no—
395#391—861no—
396#389—431no—
397#388—861no—
398#388—861no—
399#387—861no—
400#380—431no—
401#380—861no—
402C4×C4⋊C4—431no—
403C4×C4⋊C4—861no—
404C4×C22⋊C4—431no—
405C4×C22⋊C4—861no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#336—431no—
411#336—431no—
412C43#2288111yescharacteristic, complemented, Sylow
413C22×Q8—21no—
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—41no—
418C22×Q8—41no—
419C22×Q8C2×Dic4314yes—
420C22×Q8C22×D4311yescharacteristic
421C22×Q8C22×D4311yescharacteristic
422C22×Q8C22×D4311yescharacteristic
423C23×C4—21no—
424C23×C4C22×D4311yescharacteristic
425C2×Q16—22no—
426C2×Q16—22no—
427C2×Q16—41no—
428C2×Q16—41no—
429C2×Q16C2×Dic4314yes—
430C2×Q16C2×Dic4314yes—
431C2×M16—862no—
432C2×M16—862no—
433C2×M16—1721no—
434C22×C8—431no—
435C22×C8—431no—
436C22×C8C22×D4311yescharacteristic
437C22×C8C22×D4311yescharacteristic
438C22⋊Q8—22no—
439C22⋊Q8C2×Dic4314yes—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×Q8—862no—
443C4×Q8—1721no—
444C4×Q8—1721no—
445C4×Q8—1721no—
446#117—862no—
447#117—1721no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—431no—
460C2×C22⋊C4—431no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C42—431no—
464C2×C42—431no—
465C2×C42—861no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—861no—
470#107—862no—
471#106—1721no—
472#103—434no—
473#103—862no—
474#103—862no—
475#103—862no—
476#103—862no—
477#103—1721no—
478#103C2×Dic4314yes—
479#103C2×Dic4314yes—
480C22⋊C8C2×Dic4314yes—
481#97—1721no—
482C4×C8—862no—
483#95—431no—
484#95—431no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494C24D4×D4311yescharacteristic
495C2×Q8—24no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—28no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—42no—
511C2×Q8—42no—
512C2×Q8—44no—
513C2×Q8—44no—
514C2×Q8—44no—
515C2×Q8D4×D4312yes—
516C2×Q8#1062190012yes—
517C2×Q8C22×Dic4312yes—
518C2×Q8C22×Dic4312yes—
519C2×Q8C22×Dic4312yes—
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—21no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—431no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4D4×D4311yescharacteristic
540C22×C4#1062190012yes—
541C22×C4C22×Dic4312yes—
542C22×C4C23×D4311yescharacteristic
543Q16—28no—
544Q16—44no—
545M16—1724no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—432no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8C22×Dic4312yes—
557C2×C8C22×Dic4312yes—
558C4⋊C4—24no—
559C4⋊C4—21no—
560C4⋊C4—432no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—1722no—
569C4⋊C4—1722no—
570C4⋊C4—1722no—
571C4⋊C4—1722no—
572C4⋊C4C22×Dic4312yes—
573C22⋊C4—24no—
574C22⋊C4—862no—
575C22⋊C4—1721no—
576C22⋊C4—1722no—
577C22⋊C4—1722no—
578C42—861no—
579C42—861no—
580C42—861no—
581C42—861no—
582C42—1722no—
583C42—1722no—
584C42—1722no—
585C42—1722no—
586C42—1722no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23D4×Dic4312yes—
594C23C2×D4×D4311yescharacteristic
595Q8—22no—
596Q8—22no—
597Q8—22no—
598Q8—22no—
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8—48no—
603Q8—41no—
604Q8—41no—
605Q8—41no—
606Q8—41no—
607Q8D4×Dic4314yes—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—48no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—432no—
628C2×C4—861no—
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—862no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—1721no—
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—1721no—
651C2×C4D4×Dic4312yes—
652C2×C4C23×Dic4311yescharacteristic
653C2×C4C2×D4×D4311yescharacteristic
654C2×C4C2×#1062190011yescharacteristic
655C2×C4C2×#1062190011yescharacteristic
656C2×C4#1306337011yescharacteristic
657C2×C4#1306337011yescharacteristic
658C8—22no—
659C8—22no—
660C8—862no—
661C8—1721no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22C2×D4×Dic4311yescharacteristic
670C22#1458353111yescharacteristic
671C22#1458353611yescharacteristic
672C22#137×D4311yescharacteristic
673C22#1458369811yescharacteristic
674C22#1458371211yescharacteristic
675C22#1458371211yescharacteristic
676C4—22no—
677C4—24no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—862no—
682C4—3441no—
683C4—3441no—
684C4—3441no—
685C4—1721no—
686C4—1721no—
687C4—1721no—
688C4—1722no—
689C4C2×D4×Dic4311yescharacteristic
690C4#1458337411yescharacteristic
691C4#1458353611yescharacteristic
692C4#1458358011yescharacteristic
693C2—42no—
694C2#1913757911yescharacteristic
695C2#137×Dic4311yescharacteristic
696C2#1914346311yescharacteristic
697C2#1914615311yescharacteristic
698C2#1914616811yescharacteristic
699C2#1914686711yescharacteristic
700C2#1914687111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#451C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
cosocleC22×C4×C43C24
hypercenterC2×#451D43
hypocenterC43#22881
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
1. C2×Q16×Dic43C2semidirect
5. #19135467C2semidirect
6. #19135273C2semidirect
7. #19135238C2semidirect
9. #19134938C2semidirect
10. #19134938C2semidirect
11. #19134865C2semidirect
13. #19134427C2semidirect
58. C43×#451C4semidirect
375. #451Dic43semidirect
412. C43#22881semidirect

Maximal subgroups

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

subgroupindex
C2×Q16×Dic432
C2×#145829082
#191376262
Q8×C22⋊Dic432
#191354672
#191352732
#191352382
#191350292
#191349382
#191348652
#191347962
#191344272
#191343812
C2×C43×#4512
#2288143