Finite Group Databasebeta

← #25960231

Subgroups — #25960231

Order 11008.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583664C211yesmaximal, characteristic
2C2×#131×D43C211yesmaximal, characteristic
3#19147794C211yesmaximal, characteristic
4#19143164C213yesmaximal, complemented
5#19143163C211yesmaximal, characteristic, complemented
6#19143162C213yesmaximal, complemented
7#19143162C213yesmaximal, complemented
8#19143161C211yesmaximal, characteristic, complemented
9#19143161C211yesmaximal, characteristic, complemented
10#19143160C213yesmaximal, complemented
11#19143157C213yesmaximal, complemented
12#19143156C213yesmaximal, complemented
13C2×#14582924C213yesmaximal, complemented
14#424×D43C213yesmaximal, complemented
15C43×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D43C2211yescharacteristic
17#14583664—28no—
18C2×#13063333C2213yes—
19C2×#13063333C2213yes—
20C2×#13063332C2211yescharacteristic
21C2×#13063332C2211yescharacteristic
22C2×#13063331C2213yes—
23C2×#13063331C2213yes—
24#131×D43—28no—
25C22×#10621872C2213yes—
26C2×M16×D43C2213yes—
27C2×M16×D43C2213yes—
28C22×C8×D43C2213yes—
29#14583381C411yescharacteristic
30#14583381C411yescharacteristic
31#14583378C413yes—
32#14583378C413yes—
33#14583375C411yescharacteristic
34#14583375C411yescharacteristic
35#14583371C413yes—
36#14583371C413yes—
37#41×Dic43C2211yescharacteristic
38C4×#10621898C2213yes—
39#14583367C2213yes—
40C2×#13063282C2213yes—
41#117×D43C2213yes—
42#14582927C2213yescomplemented
43#14582927C2213yescomplemented
44#14582926C2213yescomplemented
45#14582926C2213yescomplemented
46#14582925C2213yescomplemented
47#14582925C2213yescomplemented
48#14582924C2213yes—
49#14582924C2216yes—
50#14582924C2211yescharacteristic
51#14582924C2213yes—
52#14582924C2213yes—
53#14582924C2213yescomplemented
54#14582924C2213yescomplemented
55#14582924C2213yescomplemented
56#14582924C2213yescomplemented
57#14582924C2216yescomplemented
58#14582924C2216yescomplemented
59#14582923C2213yescomplemented
60#14582922C2213yescomplemented
61#14582922C2213yescomplemented
62#14582921C2216yescomplemented
63#14582921C2216yescomplemented
64C2×C4⋊(C43⋊C8)C2213yescomplemented
65C2×Dic43⋊C8C2213yescomplemented
66C2×Dic43⋊C8C2213yescomplemented
67C4⋊C8×D43C2216yescomplemented
68C4⋊C8×D43C2216yescomplemented
69C2×#131×C43C2211yescharacteristic
70C2×#131×C43C2211yescharacteristic
71C4×#41×C43C2211yescharacteristic
72C43×#424C2213yescomplemented
73C43×#424C2213yescomplemented
74C43×#423C2213yescomplemented
75C2×C4⋊C8×C43C2213yescomplemented
76C2×#10621902C2×C411yescharacteristic
77C2×#10621898C2313yes—
78C2×#10621900C2×C413yes—
79#41×D43D418yes—
80#41×D43Q818yes—
81C2×Q8×D43C2×C411yescharacteristic
82C2×D4×D43C2×C413yes—
83C22×C4×D43C2313yes—
84#13063333—212no—
85#13063333—212no—
86#13063332—24no—
87#13063332—24no—
88#13063331—212no—
89#13063331—212no—
90C2×#10621877C2313yes—
91C2×#10621877C2313yes—
92C2×#10621872—212no—
93C2×#10621872C2313yes—
94C2×#10621872C2316yes—
95C2×#10621872C2311yescharacteristic
96C2×#10621872C2313yes—
97C2×#10621872C2313yes—
98M16×D43—212no—
99M16×D43—212no—
100C22×C43⋊C8C2313yes—
101C22×C43⋊C8C2313yes—
102C2×C8×D43—212no—
103C2×C8×D43C2311yescharacteristic
104C2×C8×D43C2313yes—
105C2×C8×D43C2313yes—
106C2×C8×D43C2313yes—
107C2×C8×D43C2316yes—
108Q8×Dic43C2×C411yescharacteristic
109Q8×Dic43C2×C411yescharacteristic
110C4×Dic86C2×C413yes—
111C4×Dic86C2×C413yes—
112#13063290C2×C413yes—
113#13063290C2×C413yes—
114C4×D172C2×C413yes—
115C4×D172C2×C413yes—
116D4×Dic43C2×C413yes—
117D4×Dic43C2×C413yes—
118#13063287C2×C413yes—
119#13063287C2×C413yes—
120C4×C22⋊D43C2×C416yes—
121C4×C22⋊D43C2×C416yes—
122(C22⋊D43)⋊C4C2×C416yes—
123(C22⋊D43)⋊C4C2×C416yes—
124#13063284C2313yes—
125#13063283C2×C413yes—
126#13063283C2×C413yes—
127#13063282C2×C413yes—
128#13063282C2×C413yes—
129#13063282C2×C413yes—
130#13063282C2×C413yes—
131#13063282C2313yes—
132#13063282C2311yescharacteristic
133#13063282C2313yes—
134#13063282C2313yes—
135#13063281C2×C416yes—
136C2×Dic43⋊C4C2×C413yes—
137C2×Dic43⋊C4C2×C413yes—
138C4⋊C4×D43C2×C413yes—
139C4⋊C4×D43C2×C413yes—
140C2×(C2×D43)⋊C4C2×C413yes—
141C2×(C2×D43)⋊C4C2×C413yes—
142C22⋊C4×D43C2×C416yes—
143C2×C4×Dic43C2313yes—
144C42×D43C2316yes—
145C4⋊(C43⋊C8)C2313yes—
146C4⋊(C43⋊C8)C2316yes—
147C4⋊(C43⋊C8)C2311yescharacteristic
148C4⋊(C43⋊C8)C2313yes—
149C4⋊(C43⋊C8)C2313yes—
150Dic43⋊C8C2313yes—
151Dic43⋊C8C2313yes—
152Dic43⋊C8C2316yes—
153Dic43⋊C8C2316yes—
154Dic43⋊C8C2311yescharacteristic
155Dic43⋊C8C2311yescharacteristic
156Dic43⋊C8C2313yes—
157Dic43⋊C8C2313yes—
158Dic43⋊C8C2313yes—
159Dic43⋊C8C2313yes—
160C2×#41×C43C2311yescharacteristic
161#131×C43—24no—
162#131×C43—24no—
163C2×M16×C43C2313yes—
164C2×M16×C43C2313yes—
165C22×C8×C43C2313yes—
166C22×C8×C43C2313yes—
167C4×Q8×C43C2×C411yescharacteristic
168C4×Q8×C43C2×C411yescharacteristic
169C4×D4×C43C2×C413yes—
170C4×D4×C43C2×C413yes—
171#117×C43C2313yes—
172C2×C42×C43C2313yes—
173C4⋊C8×C43C2313yes—
174C4⋊C8×C43C2316yes—
175C4⋊C8×C43C2313yes—
176C4⋊C8×C43C2311yescharacteristic
177C4⋊C8×C43C2313yes—
178C23×D43C22×C413yes—
179#41×C43C2×D414yes—
180#41×C43C2×Q814yes—
181C2×Q8×C43C22×C411yescharacteristic
182C2×D4×C43C22×C413yes—
183C22×C4×C43C22×C413yes—
184C22×C4×C43C22×C413yes—
185C22×C4×C43C2413yes—
186C2×C22⋊D43C22×C416yes—
187C22×Dic43C22×C413yes—
188C22×Dic43C22×C413yes—
189C22×Dic43C22×C413yes—
190#10621902C4⋊C418yes—
191Q8×D43C4⋊C418yes—
192#10621900C4⋊C4124yes—
193D4×D43C4⋊C4124yes—
194#10621898C2×D4112yes—
195#10621898C2×Q8112yes—
196C2×D172C22×C413yes—
197C2×C4×D43C22×C416yes—
198C2×C4×D43C22×C416yes—
199C2×C4×D43C22×C413yes—
200C2×C4×D43C22×C413yes—
201C2×C4×D43C2×D4112yes—
202C2×C4×D43C2×Q8112yes—
203C2×C4×D43C2413yes—
204C2×C4×D43C2411yescharacteristic
205C2×Dic86C22×C413yes—
206M16×C43—26no—
207M16×C43—26no—
208C2×C8×C43—26no—
209C2×C8×C43—26no—
210C2×C8×C43C2411yescharacteristic
211C2×C8×C43C2411yescharacteristic
212C2×C8×C43C2413yes—
213C2×C8×C43C2413yes—
214C4⋊C4×C43C22×C413yes—
215C4⋊C4×C43C22×C413yes—
216C22⋊C4×C43C22×C416yes—
217C42×C43C22×C413yes—
218C42×C43C22×C413yes—
219C42×C43C2411yescharacteristic
220C42×C43C2413yes—
221C22⋊Dic43C22×C416yes—
222(C2×D43)⋊C4C22×C413yes—
223(C2×D43)⋊C4C22×C413yes—
224(C2×D43)⋊C4C22×C411yescharacteristic
225(C2×D43)⋊C4C22×C411yescharacteristic
226(C2×D43)⋊C4C22×C413yes—
227(C2×D43)⋊C4C22×C413yes—
228(C2×D43)⋊C4C22×C413yes—
229(C2×D43)⋊C4C22×C413yes—
230C4⋊Dic43C22×C413yes—
231C4⋊Dic43C22×C413yes—
232Dic43⋊C4C22×C413yes—
233Dic43⋊C4C22×C413yes—
234Dic43⋊C4C22×C411yescharacteristic
235Dic43⋊C4C22×C411yescharacteristic
236Dic43⋊C4C22×C413yes—
237Dic43⋊C4C22×C413yes—
238Dic43⋊C4C22×C413yes—
239Dic43⋊C4C22×C413yes—
240C4×Dic43C22×C416yes—
241C4×Dic43C22×C416yes—
242C4×Dic43C22×C413yes—
243C4×Dic43C22×C413yes—
244C4×Dic43C2413yes—
245C4×Dic43C2411yescharacteristic
246#10621877—26no—
247#10621877—26no—
248C2×C43⋊C8—26no—
249C2×C43⋊C8—26no—
250C2×C43⋊C8C2411yescharacteristic
251C2×C43⋊C8C2413yes—
252C2×C43⋊C8C2413yes—
253C2×C43⋊C8C2411yescharacteristic
254#10621872—26no—
255#10621872—212no—
256#10621872—22no—
257#10621872—26no—
258#10621872—26no—
259C8×D43—22no—
260C8×D43—26no—
261C8×D43—26no—
262C8×D43—26no—
263C8×D43—212no—
264C23×C43C23×C413yes—
265C22×D43—43no—
266C22×D43—43no—
267C22×D43C2×C4⋊C4112yes—
268C22×D43C23×C411yescharacteristic
269C22×D43C23×C413yes—
270Q8×C43C2×C4⋊C414yes—
271D4×C43C2×C4⋊C4112yes—
272C2×C4×C43—43no—
273C2×C4×C43—43no—
274C2×C4×C43C23×C413yes—
275C2×C4×C43C23×C413yes—
276C2×C4×C43C23×C411yescharacteristic
277C2×C4×C43C23×C411yescharacteristic
278C2×C4×C43C23×C413yes—
279C2×C4×C43C22×D416yes—
280C2×C4×C43C22×Q816yes—
281C2×C4×C43C2511yescharacteristic
282C22⋊D43C2×C4⋊C4124yes—
283C2×Dic43—43no—
284C2×Dic43—43no—
285C2×Dic43C2×C4⋊C4112yes—
286C2×Dic43C23×C411yescharacteristic
287C2×Dic43C23×C411yescharacteristic
288C2×Dic43C23×C413yes—
289C2×Dic43C23×C413yes—
290C2×Dic43C23×C413yes—
291C2×Dic43C23×C411yescharacteristic
292D172C2×C4⋊C4112yes—
293C4×D43—46no—
294C4×D43—46no—
295C4×D43C2×C4⋊C4112yes—
296C4×D43C2×C4⋊C4112yes—
297C4×D43C22×D412yes—
298C4×D43C22×D416yes—
299C4×D43C22×Q812yes—
300C4×D43C22×Q816yes—
301Dic86C2×C4⋊C4112yes—
302C8×C43—21no—
303C8×C43—23no—
304C8×C43—23no—
305C8×C43—21no—
306C43⋊C8—21no—
307C43⋊C8—23no—
308C43⋊C8—23no—
309C43⋊C8—21no—
310#60100—431nomaximal, Sylow
311C22×C43—23no—
312C22×C43—23no—
313C22×C43C22×C4⋊C416yes—
314C22×C43C24×C411yescharacteristic
315C2×D43—21no—
316C2×D43—21no—
317C2×D43—23no—
318C2×D43—23no—
319C2×D43—412no—
320C2×D43C22×C4⋊C412yes—
321C2×D43C22×C4⋊C416yes—
322C4×C43—23no—
323C4×C43—23no—
324C4×C43—21no—
325C4×C43—21no—
326C4×C43C22×C4⋊C416yes—
327C4×C43C23×D411yescharacteristic
328C4×C43C23×Q811yescharacteristic
329Dic43—23no—
330Dic43—23no—
331Dic43—21no—
332Dic43—21no—
333Dic43C22×C4⋊C416yes—
334Dic43C22×C4⋊C412yes—
335C2×#568—431no—
336C22×#131—431no—
337#3428—431no—
338#2906—433no—
339#2906—433no—
340#2906—433no—
341#2906—433no—
342#2906—431no—
343#2906—431no—
344#2906—431no—
345#2906D4311yescharacteristic, complemented
346#2905—433no—
347#2905—433no—
348C2×#424—433no—
349C2×#424—433no—
350C2×C43—26no—
351C2×C43C23×C4⋊C411yescharacteristic
352C2×C43#357311yescharacteristic
353C2×C43#357311yescharacteristic
354D43—22no—
355D43—26no—
356C22×#41—431no—
357#568—868no—
358C2×#131—431no—
359C2×#131—431no—
360C2×#131—433no—
361C2×#131—433no—
362C2×#131—433no—
363C2×#131—433no—
364C2×#131—868no—
365C2×#131C2×D4311yescharacteristic
366C2×#131C2×D4311yescharacteristic
367C22×M16—433no—
368C22×M16—433no—
369C22×M16—433no—
370C23×C8—433no—
371#520—431no—
372#520—431no—
373#520—433no—
374#520—433no—
375#519—431no—
376#519—431no—
377#518—433no—
378#518—433no—
379C4×#41—431no—
380C4×#41—433no—
381C4×#41—433no—
382C4×#41C2×D4311yescharacteristic
383C2×#117—433no—
384C2×#117—433no—
385#424—433no—
386#424—433no—
387#424—433no—
388#424—433no—
389#424—433no—
390#424—433no—
391#424—433no—
392#424—431no—
393#424—436no—
394#424—433no—
395#424—433no—
396#424—433no—
397#424—433no—
398#424—433no—
399#424—433no—
400#424—436no—
401#424—436no—
402#424C2×D4313yescomplemented
403#424C2×D4313yescomplemented
404#423—433no—
405#423—433no—
406#423—433no—
407#423—436no—
408#423—436no—
409#423C2×D4313yescomplemented
410C2×C4⋊C8—433no—
411C2×C4⋊C8—433no—
412C2×C4⋊C8—433no—
413C2×C4⋊C8—436no—
414C2×C4⋊C8—436no—
415C2×C4⋊C8C2×D4313yescomplemented
416C43#6010011yescharacteristic, complemented, Sylow
417C2×#41—438no—
418C2×#41—438no—
419C2×#41—431no—
420C2×#41—433no—
421C2×#41—433no—
422C2×#41C22×D4311yescharacteristic
423C22×Q8—431no—
424C22×D4—433no—
425C23×C4—433no—
426#131—24no—
427#131—24no—
428#131—8612no—
429#131—8612no—
430#131—8612no—
431#131—8612no—
432#131—864no—
433#131—864no—
434C2×M16—433no—
435C2×M16—433no—
436C2×M16—433no—
437C2×M16—431no—
438C2×M16—436no—
439C2×M16—433no—
440C2×M16—433no—
441C2×M16—8612no—
442C2×M16—8612no—
443C2×M16—8612no—
444C2×M16C22×D4313yes—
445C2×M16C22×D4313yes—
446C22×C8—433no—
447C22×C8—433no—
448C22×C8—431no—
449C22×C8—433no—
450C22×C8—433no—
451C22×C8—433no—
452C22×C8—436no—
453C22×C8—8612no—
454C22×C8C22×D4313yes—
455C22×C8C22×D4313yes—
456C4×Q8—431no—
457C4×Q8—431no—
458C4×Q8—433no—
459C4×Q8—433no—
460C4×Q8—433no—
461C4×Q8—433no—
462C4×Q8C4×D4311yescharacteristic
463C4×Q8C4×D4311yescharacteristic
464C4×D4—433no—
465C4×D4—433no—
466C4×D4—436no—
467C4×D4—436no—
468C4×D4—433no—
469C4×D4—433no—
470C4×D4—436no—
471C4×D4—436no—
472C4×D4—433no—
473C4×D4—433no—
474C4×D4C4×D4313yes—
475C4×D4C4×D4313yes—
476#117—433no—
477#117—433no—
478#117—433no—
479#117—436no—
480#117—433no—
481#117—433no—
482#117—433no—
483#117—433no—
484#117—433no—
485#117—431no—
486#117—433no—
487#117—433no—
488#117C22×D4313yes—
489C2×C4⋊C4—433no—
490C2×C4⋊C4—433no—
491C2×C4⋊C4—433no—
492C2×C4⋊C4—433no—
493C2×C22⋊C4—433no—
494C2×C22⋊C4—433no—
495C2×C22⋊C4—436no—
496C2×C42—433no—
497C2×C42—436no—
498C2×C42C22×D4313yes—
499C4⋊C8—433no—
500C4⋊C8—431no—
501C4⋊C8—433no—
502C4⋊C8—431no—
503C4⋊C8—436no—
504C4⋊C8—436no—
505C4⋊C8—433no—
506C4⋊C8—433no—
507C4⋊C8—433no—
508C4⋊C8—433no—
509C4⋊C8—433no—
510C4⋊C8—431no—
511C4⋊C8—436no—
512C4⋊C8—433no—
513C4⋊C8—433no—
514C4⋊C8C22×D4313yes—
515C4⋊C8C22×D4316yes—
516C4⋊C8C22×D4311yescharacteristic
517C4⋊C8C22×D4313yes—
518C4⋊C8C22×D4313yes—
519C24—433no—
520#41—438no—
521#41—4324no—
522#41—4312no—
523#41—4312no—
524#41D4×D4314yes—
525#41Q8×D4314yes—
526C2×Q8—438no—
527C2×Q8—433no—
528C2×Q8C2×C4×D4311yescharacteristic
529C2×D4—436no—
530C2×D4—4324no—
531C2×D4—433no—
532C2×D4C2×C4×D4313yes—
533C22×C4—433no—
534C22×C4—433no—
535C22×C4—433no—
536C22×C4—4312no—
537C22×C4—4312no—
538C22×C4—433no—
539C22×C4—431no—
540C22×C4—433no—
541C22×C4—433no—
542C22×C4—436no—
543C22×C4—436no—
544C22×C4C2×C4×D4313yes—
545C22×C4C2×C4×D4313yes—
546C22×C4C23×D4313yes—
547M16—26no—
548M16—26no—
549M16—862no—
550M16—866no—
551M16—866no—
552M16—866no—
553M16—8612no—
554M16—866no—
555M16—866no—
556C2×C8—26no—
557C2×C8—26no—
558C2×C8—431no—
559C2×C8—431no—
560C2×C8—433no—
561C2×C8—433no—
562C2×C8—862no—
563C2×C8—866no—
564C2×C8—866no—
565C2×C8—866no—
566C2×C8—8612no—
567C2×C8—866no—
568C2×C8—866no—
569C2×C8C23×D4311yescharacteristic
570C2×C8C23×D4313yes—
571C2×C8C23×D4313yes—
572C2×C8C23×D4311yescharacteristic
573C4⋊C4—433no—
574C4⋊C4—433no—
575C4⋊C4—431no—
576C4⋊C4—431no—
577C4⋊C4—433no—
578C4⋊C4—433no—
579C4⋊C4—433no—
580C4⋊C4—433no—
581C4⋊C4—433no—
582C4⋊C4—433no—
583C4⋊C4C2×C4×D4313yes—
584C4⋊C4C2×C4×D4313yes—
585C22⋊C4—436no—
586C22⋊C4—433no—
587C22⋊C4—433no—
588C22⋊C4—431no—
589C22⋊C4—431no—
590C22⋊C4—433no—
591C22⋊C4—433no—
592C22⋊C4—433no—
593C22⋊C4—433no—
594C22⋊C4C2×C4×D4316yes—
595C42—436no—
596C42—436no—
597C42—433no—
598C42—433no—
599C42—431no—
600C42—433no—
601C42C2×C4×D4313yes—
602C42C2×C4×D4313yes—
603C42C23×D4313yes—
604C42C23×D4311yescharacteristic
605C23—431no—
606C23—433no—
607C23—4312no—
608C23—1723no—
609C23—1723no—
610C23C22×C4×D4313yes—
611Q8—4312no—
612Q8C4⋊C4×D4314yes—
613D4—4324no—
614D4—4312no—
615D4C4⋊C4×D43112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—4312no—
619C2×C4—433no—
620C2×C4—431no—
621C2×C4—4312no—
622C2×C4—4312no—
623C2×C4—432no—
624C2×C4—436no—
625C2×C4—432no—
626C2×C4—436no—
627C2×C4—433no—
628C2×C4—431no—
629C2×C4—433no—
630C2×C4—431no—
631C2×C4—1726no—
632C2×C4—1726no—
633C2×C4—1723no—
634C2×C4—1723no—
635C2×C4C22×C4×D4313yes—
636C2×C4C22×C4×D4313yes—
637C2×C4C22×C4×D4311yescharacteristic
638C2×C4C22×C4×D4311yescharacteristic
639C2×C4C22×C4×D4313yes—
640C2×C4C2×D4×D4316yes—
641C2×C4C2×Q8×D4316yes—
642C2×C4C24×D4311yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—861no—
648C8—863no—
649C8—863no—
650C8—861no—
651C22—23no—
652C22—23no—
653C22—432no—
654C22—436no—
655C22—863no—
656C22—861no—
657C22—863no—
658C22—861no—
659C22—17212no—
660C22C2×C4⋊C4×D4316yes—
661C22C23×C4×D4311yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—432no—
667C4—436no—
668C4—863no—
669C4—861no—
670C4—863no—
671C4—861no—
672C4C2×C4⋊C4×D4316yes—
673C4C22×D4×D4311yescharacteristic
674C4C22×Q8×D4311yescharacteristic
675C2—26no—
676C2—862no—
677C2—866no—
678C2C22×C4⋊C4×D4311yescharacteristic
679C2#1914930611yescharacteristic
680C2#1914930811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2906C2
prime radicalC2×#41×D43C22
cosocleC2×C4×C43C25
hypercenter#2906D43
hypocenterC43#60100
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #19143164C2semidirect
5. #19143163C2semidirect
6. #19143162C2semidirect
7. #19143162C2semidirect
8. #19143161C2semidirect
9. #19143161C2semidirect
10. #19143160C2semidirect
11. #19143157C2semidirect
12. #19143156C2semidirect
13. C2×#14582924C2semidirect
14. #424×D43C2semidirect
15. C43×#2906C2semidirect
42. #14582927C22semidirect
43. #14582927C22semidirect
44. #14582926C22semidirect
45. #14582926C22semidirect
46. #14582925C22semidirect
47. #14582925C22semidirect
53. #14582924C22semidirect
54. #14582924C22semidirect
55. #14582924C22semidirect
56. #14582924C22semidirect
57. #14582924C22semidirect
58. #14582924C22semidirect
59. #14582923C22semidirect
60. #14582922C22semidirect
61. #14582922C22semidirect
62. #14582921C22semidirect
63. #14582921C22semidirect
64. C2×C4⋊(C43⋊C8)C22semidirect
65. C2×Dic43⋊C8C22semidirect
66. C2×Dic43⋊C8C22semidirect
67. C4⋊C8×D43C22semidirect
68. C4⋊C8×D43C22semidirect
72. C43×#424C22semidirect
73. C43×#424C22semidirect
74. C43×#423C22semidirect
75. C2×C4⋊C8×C43C22semidirect
345. #2906D43semidirect
402. #424C2×D43semidirect
403. #424C2×D43semidirect
409. #423C2×D43semidirect
415. C2×C4⋊C8C2×D43semidirect
416. C43#60100semidirect

Maximal subgroups

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

subgroupindex
C2×#145836642
C2×#131×D432
#191477942
#191431642
#191431632
#191431622
#191431612
#191431602
#191431572
#191431562
C2×#145829242
#424×D432
C43×#29062
#6010043