Finite Group Databasebeta

← #25156570

Subgroups — #25156570

Order 11008.

1022 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D8×Dic43C211yesmaximal, characteristic, complemented
2#19138356C211yesmaximal, characteristic, complemented
3D4×Dic43⋊C4C211yesmaximal, characteristic, complemented
4#19136121C211yesmaximal, characteristic, complemented
5#19136083C211yesmaximal, characteristic, complemented
6#19136001C211yesmaximal, characteristic, complemented
7#19135826C211yesmaximal, characteristic, complemented
8#19135275C211yesmaximal, characteristic, complemented
9#19135149C211yesmaximal, characteristic, complemented
10#19134945C211yesmaximal, characteristic, complemented
11#19134945C211yesmaximal, characteristic, complemented
12#19134945C211yesmaximal, characteristic, complemented
13#19134842C211yesmaximal, characteristic, complemented
14#19134840C211yesmaximal, characteristic, complemented
15C2×C43×#459C211yesmaximal, characteristic
16C2×#13063306—21no—
17C2×D4×Dic43C2211yescharacteristic
18C2×D4×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C22×Dic43⋊C4—21no—
21D8×Dic43—24no—
22C2×#13063259C2211yescharacteristic
23C2×#13063258C2211yescharacteristic
24C2×#13063246C2211yescharacteristic
25C2×#13063246C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×C8×Dic43C2211yescharacteristic
31#14582813—21no—
32#14582813—21no—
33#14582802C2211yescharacteristic
34#14582802C2211yescharacteristic
35#14582802C2211yescharacteristic
36#14582797C2211yescharacteristic
37#14582797C2211yescharacteristic
38#14582795C2211yescharacteristic
39#14582779—21no—
40#14582772—21no—
41#14582771—21no—
42#14582768C2211yescharacteristic
43#14582757—21no—
44C4×Dic43⋊C4C2211yescharacteristic
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582654C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×D8×C43C2211yescharacteristic
54C22×D8×C43C2211yescharacteristic
55C2×#127×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C43×#459—24no—
58C2×C4⋊C8×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C23×Dic43—21no—
62C23×Dic43—21no—
63C23×Dic43—21no—
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66#13063306—44no—
67D4×Dic43—22no—
68D4×Dic43—22no—
69D4×Dic43—22no—
70D4×Dic43—22no—
71D4×Dic43—41no—
72D4×Dic43—41no—
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×Dic43⋊C4—21no—
78C2×Dic43⋊C4—21no—
79C2×Dic43⋊C4—21no—
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—44no—
83C2×Dic43⋊C4D411yescharacteristic
84C2×Dic43⋊C4D411yescharacteristic
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43—21no—
94C2×C4×Dic43C2311yescharacteristic
95C2×C4×Dic43C2311yescharacteristic
96#13063259—22no—
97#13063258—41no—
98#13063246—22no—
99#13063246—22no—
100#13063246—22no—
101#13063246—22no—
102#13063246—22no—
103#13063246—41no—
104C8×Dic43—22no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95D411yescharacteristic
109C43⋊#95D411yescharacteristic
110C22×D4×C43—21no—
111C22×D4×C43—21no—
112C22×D4×C43C2311yescharacteristic
113C22×D4×C43C2311yescharacteristic
114C22×D4×C43C2311yescharacteristic
115C23×C4×C43—21no—
116C2×D8×C43—22no—
117C2×D8×C43—22no—
118C2×D8×C43—22no—
119C2×D8×C43—22no—
120C2×D8×C43—22no—
121C2×D8×C43D414yes—
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124#127×C43—22no—
125#127×C43—41no—
126C4×D4×C43—22no—
127C4×D4×C43—41no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C22⋊C4×C43—21no—
130C2×C42×C43C2311yescharacteristic
131C4⋊C8×C43—22no—
132#102×C43—22no—
133#102×C43—22no—
134C24×C43—21no—
135C24×C43—21no—
136C24×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×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×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—42no—
152C2×D4×C43—42no—
153C2×D4×C43—42no—
154C2×D4×C43—42no—
155C2×D4×C43—81no—
156C2×D4×C43—81no—
157C2×D4×C43C2×D412yes—
158C2×D4×C43C2×D412yes—
159C2×D4×C43#4112yes—
160C2×D4×C43#4112yes—
161C22×C4×C43—21no—
162C22×C4×C43—42no—
163C22×C4×C43—42no—
164C22×C4×C43—81no—
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2411yescharacteristic
168C22×Dic43—24no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43—42no—
174C22×Dic43—42no—
175C22×Dic43—42no—
176C22×Dic43—42no—
177C22×Dic43—42no—
178C22×Dic43—42no—
179C22×Dic43—81no—
180C22×Dic43—81no—
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184C22×Dic43C2×D411yescharacteristic
185D8×C43—28no—
186D8×C43—44no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43C2×D412yes—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C22⋊C4×C43—42no—
196C42×C43—21no—
197C42×C43—21no—
198C22⋊Dic43—24no—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201C22⋊Dic43—42no—
202C22⋊Dic43—42no—
203C22⋊Dic43—42no—
204C22⋊Dic43—81no—
205C22⋊Dic43—81no—
206C22⋊Dic43—81no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43#4112yes—
215Dic43⋊C4—41no—
216Dic43⋊C4—42no—
217Dic43⋊C4—42no—
218Dic43⋊C4—42no—
219Dic43⋊C4—42no—
220Dic43⋊C4—81no—
221Dic43⋊C4D814yescomplemented
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C23×C43—22no—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—22no—
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×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43C22×D411yescharacteristic
254D4×C43—22no—
255D4×C43—22no—
256D4×C43—22no—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—41no—
260D4×C43—41no—
261D4×C43—41no—
262D4×C43—41no—
263D4×C43—41no—
264D4×C43—41no—
265D4×C43—84no—
266D4×C43—84no—
267D4×C43#12314yescomplemented
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—84no—
277C2×C4×C43C2×D812yes—
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C432−1+411yescharacteristic
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—48no—
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—41no—
307C2×Dic43—84no—
308C2×Dic43—84no—
309C2×Dic43C2×D812yes—
310C2×Dic43C2×D812yes—
311C8×C43—22no—
312C8×C43—41no—
313C43⋊C8—41no—
314C43⋊C8—41no—
315#26158—431nomaximal, Sylow
316C22×C43—24no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43—81no—
337C22×C43#52511yescharacteristic
338C22×C43D4211yescharacteristic
339C22×C43#54811yescharacteristic
340C22×C43C22×D811yescharacteristic
341C22×C43#57511yescharacteristic
342C22×C43#57611yescharacteristic
343C22×C43#57711yescharacteristic
344C4×C43—22no—
345C4×C43—41no—
346C4×C43—81no—
347C4×C43C2×#12311yescharacteristic
348C4×C43#53911yescharacteristic
349C4×C43#54711yescharacteristic
350C4×C43#55311yescharacteristic
351Dic43—22no—
352Dic43—22no—
353Dic43—42no—
354Dic43—41no—
355Dic43—41no—
356Dic43—81no—
357Dic43—81no—
358Dic43—81no—
359C2×#459D4311yescharacteristic
360C2×C4×D8—431no—
361#2445—431no—
362D4×C4⋊C4—431no—
363#2093—431no—
364#2086—431no—
365#2071—431no—
366#2041—431no—
367#1934—431no—
368#1916—431no—
369#1879—431no—
370#1879—431no—
371#1879—431no—
372#1862—431no—
373#1862—431no—
374C2×C43—44no—
375C2×C43—82no—
376C2×C43—161no—
377C2×C43#244311yescharacteristic
378C2×C43#310011yescharacteristic
379C2×C43#311911yescharacteristic
380C2×C43#326711yescharacteristic
381C2×C43D4×D811yescharacteristic
382C2×C43#335811yescharacteristic
383C2×C43#337011yescharacteristic
384C22×D8C2×D4311yescharacteristic
385C22×D8C2×D4311yescharacteristic
386C2×#127C2×D4311yescharacteristic
387C2×#123—861no—
388C2×C4×D4—431no—
389C2×C4×D4—431no—
390C2×C4×D4—431no—
391C2×C4×D4C2×D4311yescharacteristic
392C22×C4⋊C4—861no—
393#459—24no—
394C4×D8—864no—
395C2×#107—431no—
396C2×#107—431no—
397C2×C4⋊C8C2×D4311yescharacteristic
398C2×#102—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102C2×D4311yescharacteristic
405C2×#102C2×D4311yescharacteristic
406C2×C4×C8—431no—
407#394—861no—
408#394—861no—
409#390—431no—
410#390—431no—
411#390—431no—
412#389—431no—
413#389—431no—
414#389—431no—
415#386—861no—
416#385—861no—
417#385—861no—
418#384—431no—
419#380—861no—
420C4×C4⋊C4—431no—
421#340—431no—
422#340—431no—
423#340—431no—
424#340—431no—
425#336—431no—
426#336—431no—
427#336—431no—
428#336—431no—
429C43#2615811yescharacteristic, complemented, Sylow
430C22×D4—21no—
431C22×D4—21no—
432C22×D4C22×D4311yescharacteristic
433C22×D4C22×D4311yescharacteristic
434C22×D4C22×D4311yescharacteristic
435C23×C4—21no—
436C23×C4—861no—
437C23×C4—861no—
438C23×C4—861no—
439C2×D8—22no—
440C2×D8—22no—
441C2×D8—22no—
442C2×D8—22no—
443C2×D8—22no—
444C2×D8C22⋊D4314yes—
445C22×C8—431no—
446C22×C8—431no—
447C22×C8C22×D4311yescharacteristic
448C22×C8C22×D4311yescharacteristic
449#127—22no—
450#127—41no—
451#123—1724no—
452C4×D4—22no—
453C4×D4—41no—
454C4×D4—862no—
455C4×D4—862no—
456C4×D4—862no—
457C4×D4—862no—
458C4×D4—1721no—
459C4×D4—1721no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—431no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—1724no—
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C42—431no—
484C2×C42—431no—
485C2×C42C22×D4311yescharacteristic
486#107—862no—
487#107—1721no—
488C4⋊C8—22no—
489#102—22no—
490#102—22no—
491#102—862no—
492#102—862no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—1721no—
497C4×C8—862no—
498#95—431no—
499#95—431no—
500#95—861no—
501#95—861no—
502#95—861no—
503C24—21no—
504C24—21no—
505C24—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4—81no—
525C2×D4—81no—
526C2×D4#1062190012yes—
527C2×D4#1062190012yes—
528C2×D4C2×C22⋊D4312yes—
529C2×D4C2×C22⋊D4312yes—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—81no—
534C22×C4—431no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—431no—
538C22×C4—864no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—3441no—
544C22×C4—3441no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4—1722no—
549C22×C4—1722no—
550C22×C4—1722no—
551C22×C4D4×D4311yescharacteristic
552C22×C4D4×D4311yescharacteristic
553C22×C4C23×D4311yescharacteristic
554D8—28no—
555D8—44no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8C2×C22⋊D4312yes—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—434no—
571C4⋊C4—432no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—3441no—
580C4⋊C4—1721no—
581C4⋊C4—1722no—
582C4⋊C4—1722no—
583C4⋊C4—1722no—
584C4⋊C4—1722no—
585C22⋊C4—42no—
586C22⋊C4—864no—
587C22⋊C4—3441no—
588C22⋊C4—3441no—
589C22⋊C4—3441no—
590C22⋊C4—1722no—
591C22⋊C4—1722no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C42—21no—
596C42—21no—
597C42—861no—
598C42—861no—
599C42—861no—
600C42—861no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23C2×D4×D4311yescharacteristic
623D4—22no—
624D4—22no—
625D4—22no—
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—41no—
634D4—84no—
635D4—84no—
636D4#1306330614yescomplemented
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—432no—
647C2×C4—432no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—862no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—3444no—
660C2×C4—3444no—
661C2×C4—1728no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4D8×D4312yes—
674C2×C4C22×C22⋊D4311yescharacteristic
675C2×C4#41×D4311yescharacteristic
676C2×C4C2×#1062190011yescharacteristic
677C2×C4C2×#1062190011yescharacteristic
678C2×C4#1306337011yescharacteristic
679C2×C4#1306337211yescharacteristic
680C8—22no—
681C8—41no—
682C8—1721no—
683C8—1721no—
684C22—24no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22#1458340911yescharacteristic
706C22D4×C22⋊D4311yescharacteristic
707C22#1458355511yescharacteristic
708C22C2×D8×D4311yescharacteristic
709C22#1458369511yescharacteristic
710C22#1458370011yescharacteristic
711C22#1458370911yescharacteristic
712C4—22no—
713C4—41no—
714C4—81no—
715C4—862no—
716C4—862no—
717C4—3441no—
718C4—3441no—
719C4—3441no—
720C4—1721no—
721C4—1721no—
722C4—1722no—
723C4C2×#1306330611yescharacteristic
724C4#1458349411yescharacteristic
725C4#1458354811yescharacteristic
726C4#1458359211yescharacteristic
727C2—44no—
728C2—82no—
729C2—161no—
730C2#1913832611yescharacteristic
731C2#1914459411yescharacteristic
732C2#1914479111yescharacteristic
733C2#1914611411yescharacteristic
734C2D8×C22⋊D4311yescharacteristic
735C2#1914722511yescharacteristic
736C2#1914734111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC2×C43×#459C2
socleC23×C43C22×D4
hypercenterC2×#459D43
hypocenterC43#26158
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#459

Complements

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

NH ≅ G/Ntype
1. C2×D8×Dic43C2semidirect
2. #19138356C2semidirect
3. D4×Dic43⋊C4C2semidirect
4. #19136121C2semidirect
5. #19136083C2semidirect
6. #19136001C2semidirect
7. #19135826C2semidirect
8. #19135275C2semidirect
9. #19135149C2semidirect
10. #19134945C2semidirect
11. #19134945C2semidirect
12. #19134945C2semidirect
13. #19134842C2semidirect
14. #19134840C2semidirect
221. Dic43⋊C4D8semidirect
267. D4×C43#123semidirect
429. C43#26158semidirect
636. D4#13063306semidirect

Maximal subgroups

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

subgroupindex
C2×D8×Dic432
#191383562
D4×Dic43⋊C42
#191361212
#191360832
#191360012
#191358262
#191352752
#191351492
#191349452
#191348422
#191348402
C2×C43×#4592
#2615843