Finite Group Databasebeta

← #25064374

Subgroups — #25064374

Order 11008.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148436C211yesmaximal, characteristic
2#19143621C211yesmaximal, characteristic, complemented
3#19137502C211yesmaximal, characteristic, complemented
4#19133167C211yesmaximal, characteristic, complemented
5#19133164C211yesmaximal, characteristic, complemented
6#19133137C212yesmaximal, complemented
7#19133132C212yesmaximal, complemented
8#19133119C212yesmaximal, complemented
9#19133098C212yesmaximal, complemented
10C2×#14582632C211yesmaximal, characteristic, complemented
11C2×C43×#328C211yesmaximal, characteristic, complemented
12#14583597—22no—
13#14583597C412yescomplemented
14#14583591C412yescomplemented
15#14583576—22no—
16#14583560C412yescomplemented
17#14583540C412yescomplemented
18#14583498—21no—
19#14583489—21no—
20#14583461—21no—
21#14583435C2212yes—
22#14583412C2212yes—
23C2×#13063299C2211yescharacteristic
24#14583372—21no—
25C2×C4×C22⋊D43—21no—
26C2×C4×C22⋊D43C2211yescharacteristic
27#14582970—22no—
28#14582967—22no—
29#14582953C2212yescomplemented
30#14582861C2212yescomplemented
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32#14582796—21no—
33#14582773—21no—
34#14582772—21no—
35#14582763C2211yescharacteristic, complemented
36#14582759C2211yescharacteristic
37#14582758C2211yescharacteristic, complemented
38#14582750C2211yescharacteristic, complemented
39#95×D43C2211yescharacteristic, complemented
40#14582636C2212yescomplemented
41#14582636C2212yescomplemented
42#14582634C2212yes—
43#14582634C2212yes—
44#14582632C2212yes—
45#14582632C2212yes—
46C2×C22⋊Q8×C43C2211yescharacteristic
47C2×C22⋊C8×C43C2211yescharacteristic
48C2×#95×C43C2211yescharacteristic
49C43×#328C2212yescomplemented
50C43×#328C2212yescomplemented
51C2×#10621902C2×C412yescomplemented
52C22×D172C2×C411yescharacteristic, complemented
53C22×C22⋊D43—21no—
54C22×C22⋊D43D411yescharacteristic
55C22×C4×D43—21no—
56C22×C4×D43C2311yescharacteristic
57C2×#10621872—22no—
58C22×C43⋊C8—21no—
59#13063320—22no—
60#13063320—22no—
61#13063320—22no—
62#13063316—22no—
63#13063316C2×C412yescomplemented
64#13063314—22no—
65#13063314C2×C412yescomplemented
66#13063310—22no—
67#13063310—22no—
68#13063310—22no—
69#13063309—22no—
70#13063309—22no—
71#13063301—22no—
72#13063301C2×C412yescomplemented
73#13063300—22no—
74#13063300C2×C412yescomplemented
75#13063299—21no—
76#13063299—21no—
77#13063299—22no—
78#13063299—22no—
79#13063299C2×C412yescomplemented
80#13063299C2312yes—
81#13063295—22no—
82#13063295—22no—
83Q8×Dic43C2×C412yescomplemented
84#13063287—22no—
85#13063287C2×C412yescomplemented
86C4×C22⋊D43—22no—
87C4×C22⋊D43—22no—
88C4×C22⋊D43—44no—
89C4×C22⋊D43C2×C412yes—
90C4×C22⋊D43C2×C412yes—
91C4×C22⋊D43D412yes—
92C4×C22⋊D43D412yes—
93(C22⋊D43)⋊C4—22no—
94(C22⋊D43)⋊C4—22no—
95#13063283—22no—
96#13063283C2×C412yescomplemented
97#13063281—22no—
98C2×C4⋊Dic43—21no—
99C2×C4⋊Dic43C2×C411yescharacteristic, complemented
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4D411yescharacteristic
104C2×C22⋊Dic43—21no—
105C2×C22⋊Dic43D411yescharacteristic
106C2×(C2×D43)⋊C4—21no—
107C2×(C2×D43)⋊C4—21no—
108C2×(C2×D43)⋊C4D411yescharacteristic
109C22⋊C4×D43—22no—
110C2×C4×Dic43—21no—
111C2×C4×Dic43C2311yescharacteristic
112Dic43⋊C8—22no—
113C22⋊(C43⋊C8)—21no—
114C22⋊(C43⋊C8)C2312yes—
115(C2×D43)⋊C8—22no—
116#13063235—22no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95C2311yescharacteristic
120C43⋊#95C2311yescharacteristic
121C22×Q8×C43C2×C411yescharacteristic, complemented
122C23×C4×C43—21no—
123C23×C4×C43C2311yescharacteristic
124C22×C8×C43—21no—
125C22⋊Q8×C43—21no—
126C22⋊Q8×C43—21no—
127C22⋊Q8×C43C2×C412yescomplemented
128C22⋊Q8×C43C2312yes—
129C2×C4⋊C4×C43—21no—
130C2×C4⋊C4×C43C2×C411yescharacteristic, complemented
131C2×C22⋊C4×C43—21no—
132C22⋊C8×C43—21no—
133C22⋊C8×C43C2312yes—
134#95×C43—21no—
135#95×C43C2311yescharacteristic
136#95×C43C2311yescharacteristic
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C23×D43C2×D411yescharacteristic
140C2×Q8×C43—21no—
141C2×Q8×C43—81no—
142C2×Q8×C43C22×C412yes—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—42no—
148C22×C4×C43—42no—
149C22×C4×C43—81no—
150C22×C4×C43—81no—
151C22×C4×C43C22×C411yescharacteristic
152C22×C4×C43C22×C411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2411yescharacteristic
157C2×C22⋊D43—22no—
158C2×C22⋊D43—22no—
159C2×C22⋊D43—22no—
160C2×C22⋊D43—22no—
161C2×C22⋊D43—42no—
162C2×C22⋊D43—42no—
163C2×C22⋊D43C22⋊C412yes—
164C2×C22⋊D43C22⋊C412yes—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171#10621902—82no—
172C2×D172—21no—
173C2×D172—22no—
174C2×D172—22no—
175C2×D172—81no—
176C2×D172C22×C412yes—
177C2×C4×D43—22no—
178C2×C4×D43—22no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—81no—
182C2×C4×D43—81no—
183C2×C4×D43C22×C412yes—
184C2×C4×D43C2×D412yes—
185C2×C8×C43—22no—
186C2×C8×C43—81no—
187C4⋊C4×C43—22no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—22no—
190C4⋊C4×C43C22×C412yes—
191C22⋊C4×C43—22no—
192C22⋊C4×C43—22no—
193C22⋊Dic43—42no—
194C22⋊Dic43C22⋊C412yes—
195C22⋊Dic43C22⋊C412yes—
196(C2×D43)⋊C4—22no—
197(C2×D43)⋊C4—22no—
198(C2×D43)⋊C4—22no—
199(C2×D43)⋊C4—22no—
200(C2×D43)⋊C4—22no—
201(C2×D43)⋊C4—22no—
202(C2×D43)⋊C4—22no—
203(C2×D43)⋊C4—22no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4C22⋊C412yes—
206(C2×D43)⋊C4C22⋊C412yes—
207C4⋊Dic43—21no—
208C4⋊Dic43—22no—
209C4⋊Dic43—22no—
210C4⋊Dic43—81no—
211C4⋊Dic43C22×C412yes—
212Dic43⋊C4—22no—
213Dic43⋊C4—22no—
214Dic43⋊C4—42no—
215Dic43⋊C4—42no—
216Dic43⋊C4—81no—
217Dic43⋊C4C22⋊C412yes—
218Dic43⋊C4C22⋊C412yes—
219C4×Dic43—22no—
220C4×Dic43—22no—
221C4×Dic43—42no—
222C4×Dic43C22×C412yes—
223C4×Dic43C2×D412yes—
224C2×C43⋊C8—22no—
225C2×C43⋊C8—81no—
226#10621872—82no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43C2×C22⋊C411yescharacteristic
230C23×C43C2×C22⋊C411yescharacteristic
231C23×C43AGL(1,ℤ/8)12yes—
232C23×C43#13712yes—
233C23×C43C22×D411yescharacteristic
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—22no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—42no—
240C22×D43—81no—
241C22×D43—81no—
242C22×D43C2×C22⋊C412yes—
243Q8×C43—42no—
244Q8×C43—81no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—81no—
260C2×C4×C43—81no—
261C2×C4×C43—84no—
262C2×C4×C43C2×C22⋊C411yescharacteristic
263C2×C4×C43C2×C22⋊C411yescharacteristic
264C2×C4×C43C23×C411yescharacteristic
265C2×C4×C43C22×D411yescharacteristic
266C22⋊D43—24no—
267C22⋊D43—24no—
268C22⋊D43—42no—
269C22⋊D43—42no—
270C22⋊D43—44no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—22no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—42no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43C2×C22⋊C412yes—
284C2×Dic43C2×C22⋊C412yes—
285C2×Dic43C2×C22⋊C412yes—
286D172—42no—
287D172—81no—
288D172—82no—
289D172—82no—
290C4×D43—42no—
291C4×D43—42no—
292C4×D43—82no—
293C4×D43—82no—
294C4×D43—84no—
295C8×C43—42no—
296C43⋊C8—42no—
297#17622—431nomaximal, Sylow
298C22×C43—21no—
299C22×C43—21no—
300C22×C43—21no—
301C22×C43—21no—
302C22×C43—21no—
303C22×C43—21no—
304C22×C43—42no—
305C22×C43—42no—
306C22×C43#41712yes—
307C22×C43#41712yes—
308C22×C43C22×C22⋊C411yescharacteristic
309C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
310C22×C43C2×#13711yescharacteristic
311C2×D43—22no—
312C2×D43—22no—
313C2×D43—22no—
314C2×D43—42no—
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—162no—
320C4×C43—21no—
321C4×C43—21no—
322C4×C43—21no—
323C4×C43—21no—
324C4×C43—42no—
325C4×C43—42no—
326C4×C43—42no—
327C4×C43—81no—
328Dic43—22no—
329Dic43—22no—
330Dic43—22no—
331Dic43—42no—
332Dic43—81no—
333Dic43—81no—
334#3505—431no—
335#2973—431no—
336#2349—431no—
337#1520—431no—
338#1519—431no—
339#1513—432no—
340#1512—432no—
341#1509—432no—
342#1504—432no—
343C2×#328D4311yescharacteristic, complemented
344C2×#327—431no—
345C2×C43—21no—
346C2×C43—21no—
347C2×C43—22no—
348C2×C43—22no—
349C2×C43#288311yescharacteristic
350C2×C43C2×#41711yescharacteristic
351C2×C43#290111yescharacteristic
352D43—42no—
353D43—82no—
354#553—432no—
355#553—862no—
356#552—432no—
357#551—862no—
358#548—432no—
359#546—432no—
360#539—861no—
361#538—861no—
362#534—861no—
363#529—432no—
364#525—432no—
365C2×C22⋊Q8C2×D4311yescharacteristic
366C2×#121—431no—
367#518—861no—
368C2×C4×D4—431no—
369C2×C4×D4—861no—
370#435—862no—
371#435—862no—
372#432—432no—
373#407—432no—
374C2×C22⋊C8—431no—
375C2×C22⋊C8C2×D4311yescharacteristic
376#389—861no—
377#385—861no—
378#385—861no—
379#382—431no—
380#380—431no—
381#380—431no—
382C4×C4⋊C4—431no—
383C2×#95—431no—
384C2×#95C2×D4311yescharacteristic
385#328—432no—
386#328—432no—
387#328C2×D4312yescomplemented
388#328C2×D4312yescomplemented
389#327—432no—
390#327—432no—
391#327—432no—
392#327—432no—
393C43#1762211yescharacteristic, complemented, Sylow
394C2×#41—432no—
395C22×Q8C4×D4311yescharacteristic, complemented
396C22×D4—431no—
397C22×D4—431no—
398C22×D4—861no—
399C23×C4—21no—
400C23×C4—431no—
401C23×C4—861no—
402C23×C4C22×D4311yescharacteristic
403C2×M16—862no—
404C22×C8—21no—
405C22×C8—861no—
406#126—862no—
407#126—862no—
408#126—862no—
409#125—432no—
410#125—862no—
411#124—432no—
412#124—862no—
413#123—862no—
414#123—862no—
415#123—862no—
416#123—862no—
417#123—862no—
418C22⋊Q8—21no—
419C22⋊Q8—21no—
420C22⋊Q8—432no—
421C22⋊Q8—862no—
422C22⋊Q8C4×D4312yescomplemented
423C22⋊Q8C22×D4312yes—
424#121—432no—
425#121—432no—
426#121—432no—
427#121—862no—
428#121—862no—
429#121—862no—
430#121—861no—
431#121—861no—
432#120—862no—
433#120—862no—
434C4×Q8—432no—
435C4×D4—432no—
436C4×D4—432no—
437C4×D4—432no—
438C4×D4—432no—
439C4×D4—432no—
440C4×D4—862no—
441C4×D4—862no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—862no—
445C4×D4—1724no—
446#117—432no—
447#117—862no—
448#117—862no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4C4×D4311yescharacteristic, complemented
457C2×C22⋊C4—21no—
458C2×C22⋊C4—431no—
459C2×C22⋊C4—431no—
460C2×C22⋊C4—862no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—431no—
465C2×C42—861no—
466C4⋊C8—862no—
467C22⋊C8—21no—
468C22⋊C8—432no—
469C22⋊C8—862no—
470C22⋊C8—861no—
471C22⋊C8C22×D4312yes—
472#97—862no—
473#95—21no—
474#95—431no—
475#95—431no—
476#95—861no—
477#95—861no—
478#95C22×D4311yescharacteristic
479#95C22×D4311yescharacteristic
480C24—431no—
481C24—861no—
482C24D4×D4311yescharacteristic
483#41—3442no—
484C2×Q8—21no—
485C2×Q8—81no—
486C2×Q8C2×C4×D4312yes—
487C2×D4—432no—
488C2×D4—432no—
489C2×D4—432no—
490C2×D4—862no—
491C2×D4—862no—
492C2×D4—862no—
493C2×D4—862no—
494C2×D4—862no—
495C2×D4—862no—
496C2×D4—861no—
497C2×D4—3441no—
498C2×D4—1722no—
499C2×D4—1722no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—431no—
509C22×C4—431no—
510C22×C4—431no—
511C22×C4—432no—
512C22×C4—432no—
513C22×C4—862no—
514C22×C4—862no—
515C22×C4—861no—
516C22×C4—861no—
517C22×C4—861no—
518C22×C4—3441no—
519C22×C4—3441no—
520C22×C4—1722no—
521C22×C4—1722no—
522C22×C4C2×C4×D4311yescharacteristic
523C22×C4C2×C4×D4311yescharacteristic
524C22×C4D4×D4311yescharacteristic
525C22×C4D4×D4311yescharacteristic
526C22×C4D4×D4311yescharacteristic
527C22×C4C23×D4311yescharacteristic
528M16—3442no—
529C2×C8—22no—
530C2×C8—81no—
531C2×C8—862no—
532C2×C8—3441no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—432no—
537C4⋊C4—432no—
538C4⋊C4—432no—
539C4⋊C4—862no—
540C4⋊C4—862no—
541C4⋊C4—862no—
542C4⋊C4—862no—
543C4⋊C4—861no—
544C4⋊C4—3441no—
545C4⋊C4—3441no—
546C4⋊C4—1722no—
547C4⋊C4—1722no—
548C4⋊C4C2×C4×D4312yes—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—432no—
552C22⋊C4—432no—
553C22⋊C4—432no—
554C22⋊C4—432no—
555C22⋊C4—862no—
556C22⋊C4—862no—
557C22⋊C4—862no—
558C22⋊C4—862no—
559C22⋊C4—862no—
560C22⋊C4—862no—
561C22⋊C4—862no—
562C22⋊C4—862no—
563C22⋊C4—1722no—
564C22⋊C4—1722no—
565C42—432no—
566C42—432no—
567C42—862no—
568C42—862no—
569C42—1722no—
570C23—41no—
571C23—41no—
572C23—432no—
573C23—861no—
574C23—861no—
575C23—862no—
576C23—3441no—
577C23—3441no—
578C23—1721no—
579C23—1721no—
580C23—1722no—
581C23C22⋊C4×D4311yescharacteristic
582C23C22⋊C4×D4311yescharacteristic
583C23#1306335212yes—
584C23#1306335712yes—
585C23C2×D4×D4311yescharacteristic
586Q8—42no—
587Q8—81no—
588D4—864no—
589D4—864no—
590D4—3441no—
591D4—3442no—
592D4—3442no—
593D4—1722no—
594D4—1724no—
595D4—1722no—
596D4—1722no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—81no—
612C2×C4—81no—
613C2×C4—84no—
614C2×C4—432no—
615C2×C4—432no—
616C2×C4—432no—
617C2×C4—861no—
618C2×C4—861no—
619C2×C4—862no—
620C2×C4—3442no—
621C2×C4—3442no—
622C2×C4—3444no—
623C2×C4—1722no—
624C2×C4—1722no—
625C2×C4—1721no—
626C2×C4—1721no—
627C2×C4—1721no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1722no—
634C2×C4C22⋊C4×D4311yescharacteristic
635C2×C4C22⋊C4×D4311yescharacteristic
636C2×C4C22×C4×D4311yescharacteristic
637C2×C4C2×D4×D4311yescharacteristic
638C8—42no—
639C8—1722no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—42no—
647C22—42no—
648C22—862no—
649C22—862no—
650C22—862no—
651C22—1722no—
652C22—1722no—
653C22—1722no—
654C22—1722no—
655C22—1722no—
656C22—6882no—
657C22#1458289912yes—
658C22#1458289912yes—
659C22C2×C22⋊C4×D4311yescharacteristic
660C22C2×#1306335211yescharacteristic
661C22C2×#1306335711yescharacteristic
662C4—21no—
663C4—21no—
664C4—21no—
665C4—21no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—81no—
670C4—862no—
671C4—862no—
672C4—862no—
673C4—3441no—
674C4—3441no—
675C4—1722no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—3442no—
681C2—1722no—
682C2#1914305311yescharacteristic
683C2C2×#1458289911yescharacteristic
684C2#1914313911yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#328C2
socleC22×C43C22×C22⋊C4
prime radical#19148436C2
cosocleC22×C4×C43C24
hypercenterC2×#328D43
hypocenterC43#17622
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#328

Complements

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

NH ≅ G/Ntype
2. #19143621C2semidirect
3. #19137502C2semidirect
4. #19133167C2semidirect
5. #19133164C2semidirect
6. #19133137C2semidirect
7. #19133132C2semidirect
8. #19133119C2semidirect
9. #19133098C2semidirect
10. C2×#14582632C2semidirect
11. C2×C43×#328C2semidirect
13. #14583597C4semidirect
14. #14583591C4semidirect
16. #14583560C4semidirect
17. #14583540C4semidirect
29. #14582953C22semidirect
30. #14582861C22semidirect
35. #14582763C22semidirect
37. #14582758C22semidirect
38. #14582750C22semidirect
39. #95×D43C22semidirect
40. #14582636C22semidirect
41. #14582636C22semidirect
49. C43×#328C22semidirect
50. C43×#328C22semidirect
51. C2×#10621902C2×C4semidirect
52. C22×D172C2×C4semidirect
63. #13063316C2×C4semidirect
65. #13063314C2×C4semidirect
72. #13063301C2×C4semidirect
74. #13063300C2×C4semidirect
79. #13063299C2×C4semidirect
83. Q8×Dic43C2×C4semidirect
85. #13063287C2×C4semidirect
96. #13063283C2×C4semidirect
99. C2×C4⋊Dic43C2×C4semidirect
121. C22×Q8×C43C2×C4semidirect
127. C22⋊Q8×C43C2×C4semidirect
130. C2×C4⋊C4×C43C2×C4semidirect
343. C2×#328D43semidirect
387. #328C2×D43semidirect
388. #328C2×D43semidirect
393. C43#17622semidirect
395. C22×Q8C4×D43semidirect
422. C22⋊Q8C4×D43semidirect
456. C2×C4⋊C4C4×D43semidirect

Maximal subgroups

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

subgroupindex
#191484362
#191436212
#191375022
#191331672
#191331642
#191331372
#191331322
#191331192
#191330982
C2×#145826322
C2×C43×#3282
#1762243