Finite Group Databasebeta

← #25981435

Subgroups — #25981435

Order 11008.

2234 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148398C211yesmaximal, characteristic, complemented
2#19146676C218yesmaximal, complemented
3#19146101C218yesmaximal, complemented
4#19145598C212yesmaximal, complemented
5#19145401C212yesmaximal, complemented
6#19145367C212yesmaximal, complemented
7#19144694C212yesmaximal, complemented
8#19143855C212yesmaximal, complemented
9C2×#14583050C212yesmaximal, complemented
10#19143624C211yesmaximal, characteristic, complemented
11C2×C43×#546C211yesmaximal, characteristic
12C2×#13063355C2214yescomplemented
13C22×#10621883C2214yescomplemented
14#14583608—24no—
15#14583606C2214yescomplemented
16D4×Dic86C2214yescomplemented
17#14583530—21no—
18#14583525—21no—
19#14583525—21no—
20#14583456C2212yescomplemented
21C2×#13063304C2212yes—
22C2×#13063304C2212yescomplemented
23#14583374—21no—
24#14583294C2214yescomplemented
25#14583258C2214yescomplemented
26#14583234C2214yescomplemented
27#14583232C2214yescomplemented
28#14583210C2214yescomplemented
29#14583179C2214yescomplemented
30#14583143C2218yescomplemented
31#14583138C2218yescomplemented
32#14583118C2218yescomplemented
33#14583104C2214yescomplemented
34#14583061C2218yescomplemented
35#14583055C2214yescomplemented
36#14583054C2214yescomplemented
37#14583050C2214yes—
38#14583050C2214yes—
39#14583050C2218yescomplemented
40#14583037C2214yescomplemented
41#14582999C2218yescomplemented
42#14582971C2218yescomplemented
43#14582956C2212yescomplemented
44#14582900C2214yescomplemented
45C2×#13063246C2214yescomplemented
46#14582863C2212yescomplemented
47C2×C22⋊(C43⋊C8)C2212yes—
48C22×#41×C43C2211yescharacteristic
49C23×D4×C43C2211yescharacteristic
50C43×#546—24no—
51C43×#546C2218yes—
52C2×#124×C43C2211yescharacteristic
53C2×#123×C43—21no—
54C2×C22⋊Q8×C43C2211yescharacteristic
55C2×#121×C43—21no—
56C2×#121×C43C2211yescharacteristic
57C2×#120×C43—21no—
58C2×C4×D4×C43C2211yescharacteristic
59C2×C4×D4×C43C2211yescharacteristic
60C22×C22⋊C4×C43—21no—
61C22×Dic86C2312yes—
62C22×Dic86C2312yescomplemented
63#13063355—48no—
64C2×#10621885C2318yescomplemented
65C2×#10621883—48no—
66C2×#10621883C2318yes—
67C2×#10621883C2318yes—
68C2×#10621877C2314yescomplemented
69C22×C43⋊C8C2314yes—
70#13063325C2312yescomplemented
71#13063325C2312yescomplemented
72#13063324—24no—
73#13063317—22no—
74#13063316—24no—
75#13063304—22no—
76#13063304—22no—
77#13063304—22no—
78#13063304—22no—
79#13063304—22no—
80#13063304C2314yes—
81#13063304C2314yes—
82#13063304C2314yescomplemented
83#13063302—24no—
84#13063302—24no—
85#13063302—24no—
86#13063302—24no—
87C4×Dic86—22no—
88C4×Dic86C2314yescomplemented
89D4×Dic43—24no—
90D4×Dic43—24no—
91#13063284—22no—
92C2×C4⋊Dic43C2312yes—
93C2×C4⋊Dic43C2312yescomplemented
94C2×Dic43⋊C4—22no—
95C2×Dic43⋊C4—22no—
96C2×C22⋊Dic43—22no—
97C2×C22⋊Dic43—22no—
98#13063258C2318yescomplemented
99C4⋊(C43⋊C8)C2314yescomplemented
100#13063249C2318yescomplemented
101#13063248C2318yescomplemented
102#13063246C2318yes—
103#13063246C2318yes—
104C22⋊(C43⋊C8)C2314yes—
105C22⋊(C43⋊C8)C2314yes—
106C22⋊(C43⋊C8)C2314yescomplemented
107#13063236C2314yescomplemented
108C25×C43—21no—
109C2×#41×C43—22no—
110C2×#41×C43—44no—
111C2×#41×C43C2314yes—
112C22×Q8×C43C2311yescharacteristic
113C22×D4×C43—21no—
114C22×D4×C43—21no—
115C22×D4×C43—21no—
116C22×D4×C43—22no—
117C22×D4×C43—44no—
118C22×D4×C43D411yescharacteristic
119C22×D4×C43C2311yescharacteristic
120C22×D4×C43C2314yes—
121C22×D4×C43C2311yescharacteristic
122C23×C4×C43—21no—
123C23×C4×C43—21no—
124C23×C4×C43C2311yescharacteristic
125C23×C4×C43C2311yescharacteristic
126#124×C43—22no—
127#124×C43C2314yes—
128#123×C43—28no—
129C22⋊Q8×C43—22no—
130C22⋊Q8×C43C2314yes—
131#121×C43—22no—
132#121×C43—28no—
133#121×C43C2314yes—
134#120×C43—28no—
135C4×D4×C43—22no—
136C4×D4×C43D414yes—
137C4×D4×C43C2314yes—
138C4×D4×C43C2314yes—
139C2×C4⋊C4×C43—21no—
140C2×C4⋊C4×C43D411yescharacteristic
141C2×C4⋊C4×C43C2311yescharacteristic
142C2×C22⋊C4×C43—21no—
143C2×C22⋊C4×C43—21no—
144C2×C22⋊C4×C43—21no—
145C2×C22⋊C4×C43—21no—
146C2×C22⋊C4×C43—21no—
147C2×C22⋊C4×C43—28no—
148C2×C22⋊C4×C43D411yescharacteristic
149C2×C22⋊C4×C43D411yescharacteristic
150C2×C42×C43C2311yescharacteristic
151C24×C43—21no—
152C24×C43—21no—
153C24×C43—24no—
154C24×C43—44no—
155C24×C43—44no—
156C24×C43—82no—
157C24×C43C2×D411yescharacteristic
158C24×C43C2×D411yescharacteristic
159#41×C43—28no—
160#41×C43—44no—
161#41×C43—48no—
162C2×Q8×C43—21no—
163C2×Q8×C43—42no—
164C2×Q8×C43C2412yes—
165C2×D4×C43—24no—
166C2×D4×C43—21no—
167C2×D4×C43—24no—
168C2×D4×C43—21no—
169C2×D4×C43—24no—
170C2×D4×C43—24no—
171C2×D4×C43—24no—
172C2×D4×C43—28no—
173C2×D4×C43—44no—
174C2×D4×C43—44no—
175C2×D4×C43—44no—
176C2×D4×C43—42no—
177C2×D4×C43—48no—
178C2×D4×C43—82no—
179C2×D4×C43C2×D414yes—
180C2×D4×C43C2412yes—
181C2×D4×C43C2412yes—
182C22×C4×C43—24no—
183C22×C4×C43—24no—
184C22×C4×C43—21no—
185C22×C4×C43—21no—
186C22×C4×C43—44no—
187C22×C4×C43—42no—
188C22×C4×C43—42no—
189C22×C4×C43—82no—
190C22×C4×C43C2×D411yescharacteristic
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2×D412yes—
195C22×C4×C43C2×D412yes—
196C22×C4×C43C2411yescharacteristic
197C22×C4×C43C2412yes—
198C22×C4×C43C2412yes—
199C22×Dic43—22no—
200C22×Dic43—22no—
201C22×Dic43—22no—
202C22×Dic43—22no—
203C2×Dic86—22no—
204C2×Dic86—22no—
205C2×Dic86—22no—
206C2×Dic86—44no—
207C2×Dic86—44no—
208C2×Dic86C2414yes—
209C4⋊C4×C43—24no—
210C4⋊C4×C43—21no—
211C4⋊C4×C43C2×D414yes—
212C4⋊C4×C43C2412yes—
213C22⋊C4×C43—24no—
214C22⋊C4×C43—24no—
215C22⋊C4×C43—24no—
216C22⋊C4×C43—24no—
217C22⋊C4×C43—24no—
218C22⋊C4×C43C2×D414yes—
219C22⋊C4×C43C2×D414yes—
220C42×C43C2×D412yes—
221C42×C43C2412yes—
222C22⋊Dic43—24no—
223C22⋊Dic43—24no—
224C22⋊Dic43—24no—
225#10621885—48no—
226#10621883—216no—
227#10621883—48no—
228C4⋊Dic43—22no—
229C4⋊Dic43—22no—
230C4⋊Dic43—22no—
231C4⋊Dic43—22no—
232C4⋊Dic43—22no—
233C4⋊Dic43C2414yes—
234Dic43⋊C4—24no—
235Dic43⋊C4—24no—
236Dic43⋊C4—24no—
237Dic43⋊C4—24no—
238C4×Dic43—24no—
239#10621877—44no—
240C2×C43⋊C8—44no—
241C2×C43⋊C8C2418yes—
242C23×C43—24no—
243C23×C43—22no—
244C23×C43—22no—
245C23×C43—22no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—48no—
251C23×C43—42no—
252C23×C43—42no—
253C23×C43—42no—
254C23×C43—42no—
255C23×C43—48no—
256C23×C43—42no—
257C23×C43—84no—
258C23×C43—816no—
259C23×C43#13714yescomplemented
260C23×C43C22×D412yes—
261C23×C43C22×D411yescharacteristic
262C23×C43C22×D412yes—
263Q8×C43—24no—
264Q8×C43—42no—
265D4×C43—24no—
266D4×C43—28no—
267D4×C43—22no—
268D4×C43—24no—
269D4×C43—48no—
270D4×C43—42no—
271D4×C43—48no—
272D4×C43—84no—
273D4×C43H(5,𝔽2)14yes—
274C2×C4×C43—22no—
275C2×C4×C43—24no—
276C2×C4×C43—24no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43—41no—
285C2×C4×C43—48no—
286C2×C4×C43—42no—
287C2×C4×C43—42no—
288C2×C4×C43—84no—
289C2×C4×C43C22×D412yes—
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C43C22×D412yes—
292C2×C4×C43C22×D412yes—
293C2×C4×C43C22×D412yes—
294C2×C4×C43C2511yescharacteristic
295C2×Dic43—24no—
296C2×Dic43—24no—
297C2×Dic43—82no—
298C2×Dic43—82no—
299C2×Dic43—82no—
300C2×Dic43—82no—
301Dic86—28no—
302Dic86—82no—
303Dic86—82no—
304Dic86—82no—
305C43⋊C8—28no—
306#61570—431nomaximal, Sylow
307C22×C43—21no—
308C22×C43—22no—
309C22×C43—21no—
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—24no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—44no—
316C22×C43—48no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—82no—
323C22×C43—816no—
324C22×C43—84no—
325C22×C43C2×#13712yes—
326C22×C43C2×#13714yes—
327C22×C43C23×D411yescharacteristic
328C4×C43—22no—
329C4×C43—22no—
330C4×C43—22no—
331C4×C43—21no—
332C4×C43—22no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43C2×H(5,𝔽2)12yes—
336Dic43—44no—
337Dic43—44no—
338#3501—431no—
339C2×#546D4311yescharacteristic
340#3314—438no—
341#3266—438no—
342#3215—432no—
343#3193—432no—
344#3189—432no—
345#3110—432no—
346#3007—432no—
347C2×#450—432no—
348#2973—431no—
349C2×C43—22no—
350C2×C43—24no—
351C2×C43—42no—
352C2×C43—44no—
353C2×C43—82no—
354C2×C43#348411yescharacteristic
355C2×C43C22×#13711yescharacteristic
356C2×C43#358511yescharacteristic
357C22×#41C2×D4311yescharacteristic
358C23×D4C2×D4311yescharacteristic
359C2×#137—434no—
360C22×SD16—434no—
361#554—434no—
362#554—864no—
363D4×Q8—434no—
364#546—24no—
365#546C2×D4318yes—
366#544—861no—
367#543—861no—
368#543—861no—
369#533—432no—
370C2×#124C2×D4311yescharacteristic
371C2×#123—21no—
372C2×C22⋊Q8—432no—
373C2×C22⋊Q8—432no—
374C2×C22⋊Q8C2×D4311yescharacteristic
375C2×#121—21no—
376C2×#121C2×D4311yescharacteristic
377C2×#120—21no—
378#518—861no—
379C2×C4×D4C2×D4311yescharacteristic
380C2×C4×D4C2×D4311yescharacteristic
381C22×C22⋊C4—21no—
382#497—434no—
383#489—434no—
384#484—434no—
385#484—434no—
386#480—434no—
387#474—434no—
388#468—438no—
389#467—438no—
390#464—438no—
391#461—434no—
392#452—438no—
393#451—434no—
394#451—434no—
395#450—434no—
396#450—434no—
397#450—438no—
398#448—434no—
399#440—438no—
400#435—438no—
401#432—432no—
402#417—434no—
403C2×#102—434no—
404#407—432no—
405C2×C22⋊C8—432no—
406C43#6157011yescharacteristic, complemented, Sylow
407C25—21no—
408C2×#41—22no—
409C2×#41—44no—
410C2×#41C22×D4314yes—
411C22×Q8—432no—
412C22×Q8—432no—
413C22×Q8C22×D4311yescharacteristic
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—21no—
417C22×D4—22no—
418C22×D4—44no—
419C22×D4C22⋊D4311yescharacteristic
420C22×D4C22×D4311yescharacteristic
421C22×D4C22×D4314yes—
422C22×D4C22×D4311yescharacteristic
423C23×C4—21no—
424C23×C4—21no—
425C23×C4C22×D4311yescharacteristic
426C23×C4C22×D4311yescharacteristic
427#137—1728no—
428C2×Q16—438no—
429C2×SD16—438no—
430C2×SD16—438no—
431C2×SD16—1728no—
432C2×M16—434no—
433C22×C8—434no—
434C4⋊Q8—432no—
435C4⋊Q8—432no—
436C4⋊Q8—864no—
437#125—864no—
438#125—862no—
439#124—22no—
440#124C22×D4314yes—
441#123—28no—
442C22⋊Q8—22no—
443C22⋊Q8—434no—
444C22⋊Q8—434no—
445C22⋊Q8—434no—
446C22⋊Q8—862no—
447C22⋊Q8—862no—
448C22⋊Q8—862no—
449C22⋊Q8—862no—
450C22⋊Q8—862no—
451C22⋊Q8—864no—
452C22⋊Q8—864no—
453C22⋊Q8—864no—
454C22⋊Q8—864no—
455C22⋊Q8C22×D4314yes—
456#121—22no—
457#121—28no—
458#121C22×D4314yes—
459#120—28no—
460C4×Q8—434no—
461C4×Q8—862no—
462C4×D4—22no—
463C4×D4—864no—
464C4×D4—864no—
465C4×D4C22⋊D4314yes—
466C4×D4C22×D4314yes—
467C4×D4C22×D4314yes—
468#117—862no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—432no—
471C2×C4⋊C4—432no—
472C2×C4⋊C4—862no—
473C2×C4⋊C4—862no—
474C2×C4⋊C4C22⋊D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—28no—
482C2×C22⋊C4—862no—
483C2×C22⋊C4—862no—
484C2×C22⋊C4C22⋊D4311yescharacteristic
485C2×C22⋊C4C22⋊D4311yescharacteristic
486C2×C42C22×D4311yescharacteristic
487#107—438no—
488C4⋊C8—434no—
489#103—438no—
490#103—438no—
491#102—438no—
492#102—438no—
493C22⋊C8—434no—
494C22⋊C8—434no—
495C22⋊C8—434no—
496#97—434no—
497C24—21no—
498C24—21no—
499C24—24no—
500C24—44no—
501C24—44no—
502C24—82no—
503C24C2×C22⋊D4311yescharacteristic
504C24C2×C22⋊D4311yescharacteristic
505#41—28no—
506#41—44no—
507#41—48no—
508C2×Q8—21no—
509C2×Q8—42no—
510C2×Q8—434no—
511C2×Q8—862no—
512C2×Q8—862no—
513C2×Q8—862no—
514C2×Q8—1724no—
515C2×Q8—1724no—
516C2×Q8C23×D4312yes—
517C2×D4—24no—
518C2×D4—24no—
519C2×D4—28no—
520C2×D4—24no—
521C2×D4—24no—
522C2×D4—21no—
523C2×D4—24no—
524C2×D4—21no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—48no—
528C2×D4—44no—
529C2×D4—44no—
530C2×D4—82no—
531C2×D4C2×C22⋊D4314yes—
532C2×D4C23×D4312yes—
533C2×D4C23×D4312yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—24no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—44no—
541C22×C4—82no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4C2×C22⋊D4311yescharacteristic
547C22×C4C2×C22⋊D4311yescharacteristic
548C22×C4C2×C22⋊D4311yescharacteristic
549C22×C4C2×C22⋊D4311yescharacteristic
550C22×C4C2×C22⋊D4312yes—
551C22×C4C2×C22⋊D4312yes—
552C22×C4C23×D4311yescharacteristic
553C22×C4C23×D4312yes—
554C22×C4C23×D4312yes—
555Q16—1728no—
556SD16—8616no—
557SD16—1728no—
558M16—1724no—
559C2×C8—438no—
560C2×C8—1724no—
561C4⋊C4—24no—
562C4⋊C4—21no—
563C4⋊C4—434no—
564C4⋊C4—862no—
565C4⋊C4—862no—
566C4⋊C4—864no—
567C4⋊C4—864no—
568C4⋊C4—864no—
569C4⋊C4—862no—
570C4⋊C4—862no—
571C4⋊C4—864no—
572C4⋊C4—862no—
573C4⋊C4C2×C22⋊D4314yes—
574C4⋊C4C23×D4312yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—864no—
581C22⋊C4—864no—
582C22⋊C4—864no—
583C22⋊C4C2×C22⋊D4314yes—
584C22⋊C4C2×C22⋊D4314yes—
585C42—864no—
586C42C2×C22⋊D4312yes—
587C42C23×D4312yes—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—48no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—48no—
602C23—42no—
603C23—84no—
604C23—816no—
605C23#1306335514yescomplemented
606C23C22×C22⋊D4312yes—
607C23C22×C22⋊D4312yes—
608C23C22×C22⋊D4311yescharacteristic
609Q8—24no—
610Q8—42no—
611Q8—868no—
612Q8—3442no—
613Q8—3442no—
614Q8—3442no—
615D4—24no—
616D4—28no—
617D4—22no—
618D4—24no—
619D4—48no—
620D4—42no—
621D4—48no—
622D4—84no—
623D4#1306337014yes—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—84no—
639C2×C4—864no—
640C2×C4—864no—
641C2×C4—3442no—
642C2×C4—3442no—
643C2×C4—3442no—
644C2×C4—3442no—
645C2×C4C22×C22⋊D4312yes—
646C2×C4C22×C22⋊D4311yescharacteristic
647C2×C4C22×C22⋊D4312yes—
648C2×C4C22×C22⋊D4312yes—
649C2×C4C22×C22⋊D4312yes—
650C2×C4C24×D4311yescharacteristic
651C8—868no—
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—24no—
660C22—44no—
661C22—48no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—82no—
668C22—816no—
669C22—84no—
670C22C2×#1306335512yes—
671C22C2×#1306335514yes—
672C22C23×C22⋊D4311yescharacteristic
673C4—22no—
674C4—22no—
675C4—22no—
676C4—21no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—1724no—
681C4—1724no—
682C4C2×#1306337012yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—44no—
687C2—82no—
688C2#1914823011yescharacteristic
689C2C22×#1306335511yescharacteristic
690C2#1914937511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
Fitting, prime radicalC2×C43×#546C2
socleC22×C43C23×D4
hypercenterC2×#546D43
hypocenterC43#61570
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #19148398C2semidirect
2. #19146676C2semidirect
3. #19146101C2semidirect
4. #19145598C2semidirect
5. #19145401C2semidirect
6. #19145367C2semidirect
7. #19144694C2semidirect
8. #19143855C2semidirect
9. C2×#14583050C2semidirect
10. #19143624C2semidirect
12. C2×#13063355C22semidirect
13. C22×#10621883C22semidirect
15. #14583606C22semidirect
16. D4×Dic86C22semidirect
20. #14583456C22semidirect
22. C2×#13063304C22semidirect
24. #14583294C22semidirect
25. #14583258C22semidirect
26. #14583234C22semidirect
27. #14583232C22semidirect
28. #14583210C22semidirect
29. #14583179C22semidirect
30. #14583143C22semidirect
31. #14583138C22semidirect
32. #14583118C22semidirect
33. #14583104C22semidirect
34. #14583061C22semidirect
35. #14583055C22semidirect
36. #14583054C22semidirect
39. #14583050C22semidirect
40. #14583037C22semidirect
41. #14582999C22semidirect
42. #14582971C22semidirect
43. #14582956C22semidirect
44. #14582900C22semidirect
45. C2×#13063246C22semidirect
46. #14582863C22semidirect
62. C22×Dic86C23semidirect
64. C2×#10621885C23semidirect
68. C2×#10621877C23semidirect
70. #13063325C23semidirect
71. #13063325C23semidirect
82. #13063304C23semidirect
88. C4×Dic86C23semidirect
93. C2×C4⋊Dic43C23semidirect
98. #13063258C23semidirect
99. C4⋊(C43⋊C8)C23semidirect
100. #13063249C23semidirect
101. #13063248C23semidirect
106. C22⋊(C43⋊C8)C23semidirect
107. #13063236C23semidirect
259. C23×C43#137semidirect
406. C43#61570semidirect
605. C23#13063355semidirect

Maximal subgroups

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

subgroupindex
#191483982
#191466762
#191461012
#191455982
#191454012
#191453672
#191446942
#191438552
C2×#145830502
#191436242
C2×C43×#5462
#6157043