Finite Group Databasebeta

← #25113886

Subgroups — #25113886

Order 11008.

1038 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19137464C211yesmaximal, characteristic, complemented
2#19137425C211yesmaximal, characteristic
3#19135287C211yesmaximal, characteristic, complemented
4#19135273C211yesmaximal, characteristic, complemented
5#19135238C211yesmaximal, characteristic, complemented
6#19135231C211yesmaximal, characteristic, complemented
7#19134858C211yesmaximal, characteristic, complemented
8#19134844C211yesmaximal, characteristic, complemented
9#19134685C211yesmaximal, characteristic, complemented
10#19134628C211yesmaximal, characteristic, complemented
11#19134535C211yesmaximal, characteristic
12#19134422C211yesmaximal, characteristic, complemented
13#102×Dic43C211yesmaximal, characteristic, complemented
14#19134376C211yesmaximal, characteristic, complemented
15C2×C43×#417C211yesmaximal, characteristic
16C2×D4×Dic43C2211yescharacteristic
17C2×D4×Dic43C2211yescharacteristic
18C2×#13063284—21no—
19C2×#13063259C2211yescharacteristic
20C2×#13063257C2211yescharacteristic
21C2×#13063249C2211yescharacteristic
22C2×#13063249C2211yescharacteristic
23C2×#13063246C2211yescharacteristic
24C2×#13063246C2211yescharacteristic
25C2×C22⋊(C43⋊C8)C2211yescharacteristic
26C2×#13063235C2211yescharacteristic
27C2×C8×Dic43C2211yescharacteristic
28#14582806C2211yescharacteristic
29#14582806C2211yescharacteristic
30#14582798C2211yescharacteristic
31#14582798C2211yescharacteristic
32#14582785—21no—
33#14582785—21no—
34#14582779—21no—
35#14582779—21no—
36#14582762—21no—
37#14582762—21no—
38#14582759C2211yescharacteristic
39#14582759C2211yescharacteristic
40C4⋊C4×Dic43C2211yescharacteristic
41C4⋊C4×Dic43C2211yescharacteristic
42C4×C22⋊Dic43C2211yescharacteristic
43C2×C43⋊#95—21no—
44#14582662C2211yescharacteristic
45#14582662C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52C22×#41×C43C2211yescharacteristic
53C22×M16×C43C2211yescharacteristic
54C22×C4⋊C4×C43C2211yescharacteristic
55C43×#417C418yescomplemented
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C23×Dic43—21no—
61C23×Dic43—21no—
62C22×C43⋊C8C2311yescharacteristic
63C22×C43⋊C8C2311yescharacteristic
64D4×Dic43—22no—
65D4×Dic43—22no—
66D4×Dic43—41no—
67D4×Dic43—41no—
68#13063284—44no—
69C2×C4⋊Dic43—21no—
70C2×C4⋊Dic43—21no—
71C2×C4⋊Dic43C2311yescharacteristic
72C2×C4⋊Dic43C2311yescharacteristic
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C22⋊Dic43—21no—
76C2×C22⋊Dic43—21no—
77C2×C22⋊Dic43—21no—
78C2×C22⋊Dic43—21no—
79C2×C22⋊Dic43D411yescharacteristic
80C2×C22⋊Dic43D411yescharacteristic
81C2×C4×Dic43—21no—
82C2×C4×Dic43—21no—
83C2×C4×Dic43C2311yescharacteristic
84C2×C4×Dic43C2311yescharacteristic
85#13063259—41no—
86#13063257—41no—
87#13063249—41no—
88#13063249—41no—
89#13063246—22no—
90#13063246—22no—
91C22⋊(C43⋊C8)—22no—
92#13063235—41no—
93C8×Dic43—41no—
94C43⋊#95—21no—
95C43⋊#95—21no—
96C43⋊#95—21no—
97C43⋊#95—21no—
98C43⋊#95—21no—
99C43⋊#95—21no—
100C43⋊#95—21no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95D411yescharacteristic
105C43⋊#95D411yescharacteristic
106C2×#41×C43—22no—
107C2×#41×C43—22no—
108C2×#41×C43—22no—
109C2×#41×C43—41no—
110C2×#41×C43—41no—
111C2×#41×C43C2×C414yes—
112C22×Q8×C43C2311yescharacteristic
113C22×D4×C43—21no—
114C22×D4×C43C2311yescharacteristic
115C23×C4×C43—21no—
116C23×C4×C43—21no—
117C23×C4×C43C2311yescharacteristic
118C2×M16×C43—41no—
119C2×M16×C43—41no—
120C2×M16×C43C2×C414yescomplemented
121C22×C8×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43—22no—
125C2×C4⋊C4×C43C2×C414yescomplemented
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128#103×C43C2×C414yescomplemented
129#103×C43C2×C414yescomplemented
130#102×C43C2×C414yes—
131#102×C43C2×C414yes—
132C24×C43—21no—
133C24×C43C2×D411yescharacteristic
134#41×C43—28no—
135#41×C43—44no—
136#41×C43—44no—
137#41×C43—44no—
138C2×Q8×C43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43C22×C412yes—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—24no—
148C2×D4×C43—42no—
149C2×D4×C43—42no—
150C2×D4×C43C22×C412yes—
151C2×D4×C43#4112yes—
152C2×D4×C43#4112yes—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—24no—
158C22×C4×C43—24no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—42no—
163C22×C4×C43—42no—
164C22×C4×C43—42no—
165C22×C4×C43—42no—
166C22×C4×C43C22×C412yes—
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43#4112yes—
169C22×C4×C43C2411yescharacteristic
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—42no—
175C22×Dic43—42no—
176C22×Dic43—42no—
177C22×Dic43—42no—
178C22×Dic43—81no—
179C22×Dic43—81no—
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184M16×C43—44no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43C22×C412yes—
190C2×C8×C43C22×C412yes—
191C4⋊C4×C43—24no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43C22×C412yes—
195C4⋊C4×C43C22×C412yes—
196C22⋊Dic43—22no—
197C22⋊Dic43—41no—
198C22⋊Dic43—42no—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201C22⋊Dic43—81no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—42no—
211C4⋊Dic43—42no—
212C4×Dic43—21no—
213C4×Dic43—21no—
214C4×Dic43—21no—
215C4×Dic43—21no—
216C4×Dic43—42no—
217C4×Dic43—42no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C23×C43—22no—
225C23×C43—22no—
226C23×C43—22no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C4×D412yes—
238C23×C43C22×D411yescharacteristic
239Q8×C43—22no—
240Q8×C43—22no—
241Q8×C43—41no—
242Q8×C43—41no—
243D4×C43—22no—
244D4×C43—22no—
245D4×C43—22no—
246D4×C43—48no—
247D4×C43#11714yescomplemented
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—48no—
258C2×C4×C43—48no—
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×C43C23×C411yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×Dic43—21no—
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—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—84no—
296C2×Dic43—84no—
297C2×Dic43AGL(1,ℤ/8)12yes—
298C8×C43—22no—
299C8×C43—22no—
300C43⋊C8—41no—
301C43⋊C8—41no—
302#22582—431nomaximal, Sylow
303C22×C43—24no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—22no—
307C22×C43—41no—
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—41no—
312C22×C43—42no—
313C22×C43—41no—
314C22×C43—42no—
315C22×C43—41no—
316C22×C43—42no—
317C22×C43C2×C4×D411yescharacteristic
318C22×C43#54611yescharacteristic
319C22×C43#54611yescharacteristic
320C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
321C22×C43#57511yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C4×C43—22no—
325C4×C43—42no—
326C4×C43—42no—
327C4×C43—42no—
328C4×C43C2×#11711yescharacteristic
329C4×C43#51811yescharacteristic
330C4×C43#55111yescharacteristic
331C4×C43#55111yescharacteristic
332Dic43—22no—
333Dic43—41no—
334Dic43—41no—
335Dic43—41no—
336Dic43—81no—
337Dic43—81no—
338Dic43—81no—
339Dic43—81no—
340C2×#417D4311yescharacteristic
341#2344—431no—
342#2339—431no—
343#1935—431no—
344#1933—431no—
345#1928—431no—
346#1927—431no—
347#1864—431no—
348#1862—431no—
349#1824—431no—
350#1809—431no—
351#1788—431no—
352#1762—431no—
353C4×#102—431no—
354#1753—431no—
355C2×C43—42no—
356C2×C43—44no—
357C2×C43#234211yescharacteristic
358C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
359C2×C43#294711yescharacteristic
360C2×C43#330611yescharacteristic
361C2×C43#331511yescharacteristic
362C2×C43#332311yescharacteristic
363C2×C43#333011yescharacteristic
364C22×#41C2×D4311yescharacteristic
365C22×M16C2×D4311yescharacteristic
366C2×C4×D4—431no—
367C2×C4×D4—431no—
368C2×#117—861no—
369C22×C4⋊C4C2×D4311yescharacteristic
370C2×#107—431no—
371C2×#106—431no—
372#417Dic4318yescomplemented
373C2×#103—431no—
374C2×#103—431no—
375C2×#103C2×D4311yescharacteristic
376C2×#103C2×D4311yescharacteristic
377C2×#102—431no—
378C2×#102—431no—
379C2×#102C2×D4311yescharacteristic
380C2×#102C2×D4311yescharacteristic
381C2×C22⋊C8—431no—
382C2×#97—431no—
383C2×C4×C8—431no—
384#391—431no—
385#391—431no—
386#389—431no—
387#389—431no—
388#387—861no—
389#387—861no—
390#386—861no—
391#386—861no—
392#381—861no—
393#381—861no—
394#380—431no—
395#380—431no—
396C4×C4⋊C4—431no—
397C4×C4⋊C4—431no—
398C4×C22⋊C4—431no—
399C2×#95—861no—
400#340—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404#340—431no—
405#340—431no—
406#336—431no—
407#336—431no—
408C43#2258211yescharacteristic, complemented, Sylow
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—41no—
413C2×#41—41no—
414C2×#41C2×Dic4314yes—
415C22×Q8C22×D4311yescharacteristic
416C22×D4—21no—
417C22×D4C22×D4311yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—861no—
421C23×C4—861no—
422C23×C4C22×D4311yescharacteristic
423C2×M16—41no—
424C2×M16—41no—
425C2×M16C2×Dic4314yescomplemented
426C22×C8—431no—
427C22×C8—431no—
428C22×C8C22×D4311yescharacteristic
429C22×C8C22×D4311yescharacteristic
430C4×D4—862no—
431C4×D4—862no—
432C4×D4—1721no—
433C4×D4—1721no—
434#117—1724no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—431no—
438C2×C4⋊C4—431no—
439C2×C4⋊C4—431no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—861no—
443C2×C4⋊C4C2×Dic4314yescomplemented
444C2×C4⋊C4C22×D4311yescharacteristic
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C22⋊C4—431no—
447C2×C22⋊C4—431no—
448C2×C22⋊C4—861no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C42—431no—
453C2×C42—431no—
454C2×C42—861no—
455C2×C42—861no—
456#107—1721no—
457#106—1721no—
458#103—1721no—
459#103—1721no—
460#103C2×Dic4314yescomplemented
461#103C2×Dic4314yescomplemented
462#102—862no—
463#102—862no—
464#102C2×Dic4314yes—
465#102C2×Dic4314yes—
466C22⋊C8—862no—
467#97—1721no—
468C4×C8—1721no—
469#95—431no—
470#95—431no—
471#95—861no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
476#95—861no—
477#95—861no—
478#95—861no—
479#95—861no—
480#95—861no—
481C24—21no—
482C24D4×D4311yescharacteristic
483#41—28no—
484#41—44no—
485#41—44no—
486#41—44no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C22×Dic4312yes—
493C2×D4—24no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4#1062189812yes—
500C2×D4#1062189812yes—
501C2×D4C22×Dic4312yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—431no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—3441no—
524C22×C4—3441no—
525C22×C4—1722no—
526C22×C4—1722no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4D4×D4311yescharacteristic
530C22×C4#1062190012yes—
531C22×C4C22×Dic4312yes—
532C22×C4C23×D4311yescharacteristic
533M16—44no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8C22×Dic4312yes—
545C2×C8C22×Dic4312yes—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—861no—
550C4⋊C4—861no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—1722no—
558C4⋊C4—1722no—
559C4⋊C4C22×Dic4312yes—
560C4⋊C4C22×Dic4312yes—
561C22⋊C4—862no—
562C22⋊C4—3441no—
563C22⋊C4—1721no—
564C22⋊C4—1722no—
565C22⋊C4—1722no—
566C22⋊C4—1722no—
567C42—861no—
568C42—861no—
569C42—861no—
570C42—861no—
571C42—1722no—
572C42—1722no—
573C23—22no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—22no—
580C23—21no—
581C23—21no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23D4×Dic4312yes—
587C23C2×D4×D4311yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—41no—
591Q8—41no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4—48no—
596D4#1306328414yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—48no—
607C2×C4—48no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—432no—
615C2×C4—861no—
616C2×C4—861no—
617C2×C4—861no—
618C2×C4—861no—
619C2×C4—861no—
620C2×C4—861no—
621C2×C4—861no—
622C2×C4—861no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—3444no—
627C2×C4—3444no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4D4×Dic4312yes—
641C2×C4C23×Dic4311yescharacteristic
642C2×C4C2×#1062190011yescharacteristic
643C2×C4C2×#1062189811yescharacteristic
644C2×C4C2×#1062189811yescharacteristic
645C2×C4#1306337011yescharacteristic
646C2×C4#1306337011yescharacteristic
647C8—22no—
648C8—22no—
649C8—1721no—
650C8—1721no—
651C22—22no—
652C22—22no—
653C22—24no—
654C22—22no—
655C22—42no—
656C22—42no—
657C22—41no—
658C22—42no—
659C22—41no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—42no—
664C22—42no—
665C22C2×D4×Dic4311yescharacteristic
666C22#1458353911yescharacteristic
667C22#1458353911yescharacteristic
668C22AGL(1,ℤ/8)×D4311yescharacteristic
669C22#1458369511yescharacteristic
670C22#1458370811yescharacteristic
671C22#1458371511yescharacteristic
672C4—22no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—862no—
677C4—3441no—
678C4—3441no—
679C4—3441no—
680C4—3441no—
681C4—1721no—
682C4—1721no—
683C4—1721no—
684C4C2×#1306328411yescharacteristic
685C4#1458337411yescharacteristic
686C4#1458357511yescharacteristic
687C4#1458357511yescharacteristic
688C2—42no—
689C2—44no—
690C2#1913744411yescharacteristic
691C2AGL(1,ℤ/8)×Dic4311yescharacteristic
692C2#1914343911yescharacteristic
693C2#1914655711yescharacteristic
694C2#1914669211yescharacteristic
695C2#1914681211yescharacteristic
696C2#1914689611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#417C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
cosocleC22×C4×C43C24
hypercenterC2×#417D43
hypocenterC43#22582
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
1. #19137464C2semidirect
3. #19135287C2semidirect
4. #19135273C2semidirect
5. #19135238C2semidirect
6. #19135231C2semidirect
7. #19134858C2semidirect
8. #19134844C2semidirect
9. #19134685C2semidirect
10. #19134628C2semidirect
12. #19134422C2semidirect
13. #102×Dic43C2semidirect
14. #19134376C2semidirect
55. C43×#417C4semidirect
120. C2×M16×C43C2×C4semidirect
125. C2×C4⋊C4×C43C2×C4semidirect
128. #103×C43C2×C4semidirect
129. #103×C43C2×C4semidirect
247. D4×C43#117semidirect
372. #417Dic43semidirect
408. C43#22582semidirect
425. C2×M16C2×Dic43semidirect
443. C2×C4⋊C4C2×Dic43semidirect
460. #103C2×Dic43semidirect
461. #103C2×Dic43semidirect
596. D4#13063284semidirect

Maximal subgroups

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

subgroupindex
#191374642
#191374252
#191352872
#191352732
#191352382
#191352312
#191348582
#191348442
#191346852
#191346282
#191345352
#191344222
#102×Dic432
#191343762
C2×C43×#4172
#2258243