Finite Group Databasebeta

← #25981429

Subgroups — #25981429

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
1C2×#14583545C211yesmaximal, characteristic
2#19146670C218yesmaximal, complemented
3#19146106C218yesmaximal, complemented
4#19145594C212yesmaximal, complemented
5#19145397C212yesmaximal, complemented
6#19145367C212yesmaximal, complemented
7#19144690C212yesmaximal, complemented
8#19143853C212yesmaximal, complemented
9C2×#14583049C212yesmaximal, complemented
10#19143624C211yesmaximal, characteristic, complemented
11C43×#3501C211yesmaximal, characteristic, complemented
12C22×#10621898C2211yescharacteristic
13C23×D172C2211yescharacteristic
14C2×#13063356C2214yescomplemented
15C22×#10621884C2214yescomplemented
16#14583545—24no—
17#14583545C2218yes—
18C2×#13063313C2211yescharacteristic
19C2×#13063310—21no—
20C2×#13063304C2211yescharacteristic
21C2×#13063299C2211yescharacteristic
22C2×#13063298—21no—
23C2×#13063293—21no—
24C2×C4×D172C2211yescharacteristic
25C2×C22⋊C4×D43—21no—
26#14583291C2214yescomplemented
27#14583261C2214yescomplemented
28#14583234C2214yescomplemented
29#14583232C2214yescomplemented
30#14583212C2214yescomplemented
31#14583176C2214yescomplemented
32#14583147C2218yescomplemented
33#14583138C2218yescomplemented
34#14583121C2218yescomplemented
35#14583101C2214yescomplemented
36#14583059C2218yescomplemented
37#14583055C2214yescomplemented
38#14583054C2214yescomplemented
39#14583049C2214yes—
40#14583049C2214yes—
41#14583049C2218yescomplemented
42#14583038C2214yescomplemented
43#14582997C2218yescomplemented
44#14582971C2218yescomplemented
45#14582956C2212yescomplemented
46#14582898C2214yescomplemented
47C2×#13063245C2214yescomplemented
48#14582863C2212yescomplemented
49C2×C22⋊(C43⋊C8)C2212yes—
50C43×#554—24no—
51C43×#554C2214yescomplemented
52D4×Q8×C43C2214yescomplemented
53C43×#544—21no—
54C43×#543—21no—
55C43×#543—21no—
56C43×#533C2212yescomplemented
57C2×C22⋊Q8×C43C2212yes—
58C2×C22⋊Q8×C43C2212yescomplemented
59C43×#518—21no—
60C2×C4×D4×C43C2211yescharacteristic
61C24×D43—21no—
62C2×#10621898—22no—
63C2×#10621898—44no—
64C2×#10621898C2314yes—
65C22×Dic86C2311yescharacteristic
66C22×D172—21no—
67C22×D172—22no—
68C22×D172—44no—
69C22×D172C2311yescharacteristic
70C22×D172C2314yes—
71C22×D172C2311yescharacteristic
72C22×C22⋊D43—21no—
73C22×C22⋊D43—21no—
74C22×C4×D43—21no—
75C22×C4×D43—21no—
76#13063356—48no—
77C2×#10621885C2318yescomplemented
78C2×#10621884—48no—
79C2×#10621884C2318yes—
80C2×#10621884C2318yes—
81C2×#10621877C2314yescomplemented
82C22×C43⋊C8C2314yes—
83#13063313—22no—
84#13063313C2314yes—
85#13063310—28no—
86#13063304—22no—
87#13063304C2314yes—
88#13063299—22no—
89#13063299C2314yes—
90#13063298—28no—
91#13063293—28no—
92C4×D172—22no—
93C4×D172C2314yes—
94C2×C4⋊Dic43C2311yescharacteristic
95C2×Dic43⋊C4—21no—
96C2×C22⋊Dic43—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C22⋊C4×D43—28no—
102#13063258C2318yescomplemented
103C4⋊(C43⋊C8)C2314yescomplemented
104#13063249C2318yescomplemented
105#13063248C2318yescomplemented
106#13063245C2318yes—
107#13063245C2318yes—
108C22⋊(C43⋊C8)C2314yes—
109C22⋊(C43⋊C8)C2314yes—
110C22⋊(C43⋊C8)C2314yescomplemented
111#13063236C2314yescomplemented
112C22×Q8×C43C2312yes—
113C22×Q8×C43C2312yescomplemented
114C22×D4×C43D411yescharacteristic
115C23×C4×C43C2311yescharacteristic
116C23×C4×C43C2311yescharacteristic
117C4⋊Q8×C43—24no—
118C4⋊Q8×C43C2312yescomplemented
119C4⋊Q8×C43C2312yescomplemented
120#125×C43—24no—
121#125×C43—22no—
122C22⋊Q8×C43—22no—
123C22⋊Q8×C43—22no—
124C22⋊Q8×C43—22no—
125C22⋊Q8×C43—22no—
126C22⋊Q8×C43—22no—
127C22⋊Q8×C43—24no—
128C22⋊Q8×C43—24no—
129C22⋊Q8×C43—24no—
130C22⋊Q8×C43—24no—
131C22⋊Q8×C43C2314yes—
132C22⋊Q8×C43C2314yes—
133C22⋊Q8×C43C2314yescomplemented
134C4×Q8×C43—22no—
135C4×Q8×C43C2314yescomplemented
136C4×D4×C43—24no—
137C4×D4×C43—24no—
138C4×D4×C43D414yes—
139C4×D4×C43C2314yes—
140#117×C43—22no—
141C2×C4⋊C4×C43—22no—
142C2×C4⋊C4×C43—22no—
143C2×C4⋊C4×C43D411yescharacteristic
144C2×C4⋊C4×C43C2312yes—
145C2×C4⋊C4×C43C2312yescomplemented
146C2×C22⋊C4×C43—22no—
147C2×C22⋊C4×C43—22no—
148C2×C22⋊C4×C43D411yescharacteristic
149C2×C22⋊C4×C43D411yescharacteristic
150C2×C42×C43C2311yescharacteristic
151C24×C43C2×D411yescharacteristic
152C24×C43C2×D411yescharacteristic
153C23×D43—21no—
154C23×D43—21no—
155C23×D43—24no—
156C23×D43—44no—
157C23×D43—44no—
158C23×D43—82no—
159C2×Q8×C43—22no—
160C2×Q8×C43—22no—
161C2×Q8×C43—22no—
162C2×Q8×C43—44no—
163C2×Q8×C43—44no—
164C2×Q8×C43C2414yes—
165C2×D4×C43—24no—
166C2×D4×C43C2×D414yes—
167C22×C4×C43—22no—
168C22×C4×C43—22no—
169C22×C4×C43—22no—
170C22×C4×C43—22no—
171C22×C4×C43—42no—
172C22×C4×C43—42no—
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43C2×D411yescharacteristic
177C22×C4×C43C2×D412yes—
178C22×C4×C43C2×D412yes—
179C22×C4×C43C2411yescharacteristic
180C22×C4×C43C2412yes—
181C22×C4×C43C2412yes—
182C2×C22⋊D43—24no—
183C2×C22⋊D43—24no—
184C2×C22⋊D43—44no—
185C2×C22⋊D43—82no—
186C22×Dic43—21no—
187C22×Dic43—21no—
188#10621898—28no—
189#10621898—44no—
190#10621898—48no—
191C2×D172—21no—
192C2×D172—24no—
193C2×D172—24no—
194C2×D172—21no—
195C2×D172—28no—
196C2×D172—44no—
197C2×D172—44no—
198C2×D172—42no—
199C2×D172—48no—
200C2×D172C2412yes—
201C2×D172C2412yes—
202C2×C4×D43—24no—
203C2×C4×D43—24no—
204C2×C4×D43—44no—
205C2×C4×D43—82no—
206C2×Dic86—21no—
207C2×Dic86—42no—
208C2×Dic86C2412yes—
209C4⋊C4×C43—24no—
210C4⋊C4×C43—24no—
211C4⋊C4×C43—24no—
212C4⋊C4×C43—22no—
213C4⋊C4×C43—22no—
214C4⋊C4×C43—22no—
215C4⋊C4×C43—22no—
216C4⋊C4×C43—22no—
217C4⋊C4×C43—24no—
218C4⋊C4×C43C2×D414yes—
219C4⋊C4×C43C2414yes—
220C22⋊C4×C43—24no—
221C22⋊C4×C43—24no—
222C22⋊C4×C43—24no—
223C22⋊C4×C43C2×D414yes—
224C22⋊C4×C43C2×D414yes—
225C42×C43—24no—
226C42×C43C2×D412yes—
227C42×C43C2412yes—
228C22⋊Dic43—24no—
229#10621885—48no—
230#10621884—216no—
231#10621884—48no—
232(C2×D43)⋊C4—24no—
233(C2×D43)⋊C4—24no—
234(C2×D43)⋊C4—24no—
235(C2×D43)⋊C4—24no—
236C4⋊Dic43—21no—
237C4⋊Dic43C2412yes—
238Dic43⋊C4—24no—
239#10621877—44no—
240C2×C43⋊C8—44no—
241C2×C43⋊C8C2418yes—
242C23×C43—22no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43#13714yescomplemented
248C23×C43C22×D412yes—
249C23×C43C22×D412yes—
250C23×C43C22×D411yescharacteristic
251C22×D43—24no—
252C22×D43—22no—
253C22×D43—22no—
254C22×D43—48no—
255C22×D43—42no—
256C22×D43—42no—
257C22×D43—42no—
258C22×D43—42no—
259C22×D43—48no—
260C22×D43—42no—
261C22×D43—84no—
262C22×D43—816no—
263Q8×C43—28no—
264Q8×C43—82no—
265Q8×C43—82no—
266Q8×C43—82no—
267D4×C43—28no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—24no—
271C2×C4×C43—22no—
272C2×C4×C43—24no—
273C2×C4×C43—24no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—42no—
277C2×C4×C43—41no—
278C2×C4×C43—42no—
279C2×C4×C43—82no—
280C2×C4×C43—82no—
281C2×C4×C43—82no—
282C2×C4×C43—82no—
283C2×C4×C43C22×D412yes—
284C2×C4×C43C22×D411yescharacteristic
285C2×C4×C43C22×D412yes—
286C2×C4×C43C22×D412yes—
287C2×C4×C43C22×D412yes—
288C2×C4×C43C2511yescharacteristic
289C22⋊D43—48no—
290C22⋊D43—84no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295D172—24no—
296D172—22no—
297D172—24no—
298D172—48no—
299D172—42no—
300D172H(5,𝔽2)14yes—
301C4×D43—48no—
302C4×D43—84no—
303Dic86—24no—
304Dic86—42no—
305C43⋊C8—28no—
306#61570—431nomaximal, Sylow
307C22×C43—21no—
308C22×C43—22no—
309C22×C43—21no—
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—44no—
315C22×C43—82no—
316C22×C43C2×#13712yes—
317C22×C43C2×#13714yes—
318C22×C43C23×D411yescharacteristic
319C2×D43—24no—
320C2×D43—48no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—42no—
326C2×D43—816no—
327C2×D43—84no—
328C4×C43—22no—
329C4×C43—21no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—22no—
333C4×C43—44no—
334C4×C43—44no—
335C4×C43C2×H(5,𝔽2)12yes—
336Dic43—42no—
337Dic43—42no—
338#3501D4311yescharacteristic, complemented
339C2×#546—431no—
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#348411yescharacteristic
353C2×C43C22×#13711yescharacteristic
354C2×C43#358511yescharacteristic
355D43—44no—
356D43—82no—
357C22×#41—431no—
358C23×D4—431no—
359C2×#137—434no—
360C22×SD16—434no—
361#554—24no—
362#554C2×D4314yescomplemented
363D4×Q8C2×D4314yescomplemented
364#546—438no—
365#546—864no—
366#544—21no—
367#543—21no—
368#543—21no—
369#533C2×D4312yescomplemented
370C2×#124—431no—
371C2×#123—861no—
372C2×C22⋊Q8—431no—
373C2×C22⋊Q8C2×D4312yes—
374C2×C22⋊Q8C2×D4312yescomplemented
375C2×#121—431no—
376C2×#121—861no—
377C2×#120—861no—
378#518—21no—
379C2×C4×D4—431no—
380C2×C4×D4C2×D4311yescharacteristic
381C22×C22⋊C4—861no—
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—861no—
408C2×#41—434no—
409C2×#41—862no—
410C2×#41—1724no—
411C22×Q8—431no—
412C22×Q8C22×D4312yes—
413C22×Q8C22×D4312yescomplemented
414C22×D4—431no—
415C22×D4—434no—
416C22×D4—431no—
417C22×D4—861no—
418C22×D4—861no—
419C22×D4—861no—
420C22×D4—862no—
421C22×D4—1724no—
422C22×D4C22⋊D4311yescharacteristic
423C23×C4—861no—
424C23×C4—861no—
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—24no—
435C4⋊Q8C22×D4312yescomplemented
436C4⋊Q8C22×D4312yescomplemented
437#125—24no—
438#125—22no—
439#124—434no—
440#124—862no—
441#123—868no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C22⋊Q8—24no—
448C22⋊Q8—24no—
449C22⋊Q8—24no—
450C22⋊Q8—24no—
451C22⋊Q8—434no—
452C22⋊Q8—862no—
453C22⋊Q8C22×D4314yes—
454C22⋊Q8C22×D4314yes—
455C22⋊Q8C22×D4314yescomplemented
456#121—434no—
457#121—862no—
458#121—868no—
459#120—868no—
460C4×Q8—22no—
461C4×Q8C22×D4314yescomplemented
462C4×D4—24no—
463C4×D4—24no—
464C4×D4—434no—
465C4×D4—862no—
466C4×D4C22⋊D4314yes—
467C4×D4C22×D4314yes—
468#117—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4C22⋊D4311yescharacteristic
474C2×C4⋊C4C22×D4312yes—
475C2×C4⋊C4C22×D4312yescomplemented
476C2×C22⋊C4—22no—
477C2×C22⋊C4—22no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—868no—
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—861no—
498C24—864no—
499C24—861no—
500C24—3442no—
501C24—1724no—
502C24—1724no—
503C24C2×C22⋊D4311yescharacteristic
504C24C2×C22⋊D4311yescharacteristic
505#41—868no—
506#41—1724no—
507#41—1728no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—432no—
514C2×Q8—861no—
515C2×Q8—1722no—
516C2×Q8C23×D4314yes—
517C2×D4—24no—
518C2×D4—432no—
519C2×D4—432no—
520C2×D4—864no—
521C2×D4—868no—
522C2×D4—864no—
523C2×D4—864no—
524C2×D4—861no—
525C2×D4—864no—
526C2×D4—861no—
527C2×D4—3442no—
528C2×D4—1724no—
529C2×D4—1722no—
530C2×D4—1728no—
531C2×D4—1724no—
532C2×D4—1724no—
533C2×D4C2×C22⋊D4314yes—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—864no—
543C22×C4—864no—
544C22×C4—3442no—
545C22×C4—1724no—
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—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—432no—
571C4⋊C4—861no—
572C4⋊C4—864no—
573C4⋊C4C2×C22⋊D4314yes—
574C4⋊C4C23×D4314yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C22⋊C4—864no—
582C22⋊C4—864no—
583C22⋊C4C2×C22⋊D4314yes—
584C22⋊C4C2×C22⋊D4314yes—
585C42—24no—
586C42C2×C22⋊D4312yes—
587C42C23×D4312yes—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—864no—
594C23—862no—
595C23—862no—
596C23—3444no—
597C23—34416no—
598C23—1728no—
599C23—1722no—
600C23—1722no—
601C23—1722no—
602C23—1722no—
603C23—1728no—
604C23—1722no—
605C23#1306335614yescomplemented
606C23C22×C22⋊D4312yes—
607C23C22×C22⋊D4311yescharacteristic
608C23C22×C22⋊D4312yes—
609Q8—28no—
610Q8—82no—
611Q8—82no—
612Q8—82no—
613Q8—864no—
614Q8—1722no—
615D4—28no—
616D4—434no—
617D4—864no—
618D4—862no—
619D4—864no—
620D4—3444no—
621D4—1728no—
622D4—1722no—
623D4—1728no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—3444no—
642C2×C4—1728no—
643C2×C4—1722no—
644C2×C4—1722no—
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—44no—
660C22—82no—
661C22—864no—
662C22—3444no—
663C22—34416no—
664C22—1728no—
665C22—1722no—
666C22—1722no—
667C22—1722no—
668C22—1722no—
669C22—1722no—
670C22C2×#1306335612yes—
671C22C2×#1306335614yes—
672C22C23×C22⋊D4311yescharacteristic
673C4—22no—
674C4—22no—
675C4—21no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—1722no—
681C4—1722no—
682C4H(5,𝔽2)×D4312yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—3442no—
687C2—1724no—
688C2#1914822611yescharacteristic
689C2C22×#1306335611yescharacteristic
690C2#1914937411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3501C2
socleC22×C43C23×D4
prime radicalC2×#14583545C2
hypercenter#3501D43
hypocenterC43#61570
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3501

Complements

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

NH ≅ G/Ntype
2. #19146670C2semidirect
3. #19146106C2semidirect
4. #19145594C2semidirect
5. #19145397C2semidirect
6. #19145367C2semidirect
7. #19144690C2semidirect
8. #19143853C2semidirect
9. C2×#14583049C2semidirect
10. #19143624C2semidirect
11. C43×#3501C2semidirect
14. C2×#13063356C22semidirect
15. C22×#10621884C22semidirect
26. #14583291C22semidirect
27. #14583261C22semidirect
28. #14583234C22semidirect
29. #14583232C22semidirect
30. #14583212C22semidirect
31. #14583176C22semidirect
32. #14583147C22semidirect
33. #14583138C22semidirect
34. #14583121C22semidirect
35. #14583101C22semidirect
36. #14583059C22semidirect
37. #14583055C22semidirect
38. #14583054C22semidirect
41. #14583049C22semidirect
42. #14583038C22semidirect
43. #14582997C22semidirect
44. #14582971C22semidirect
45. #14582956C22semidirect
46. #14582898C22semidirect
47. C2×#13063245C22semidirect
48. #14582863C22semidirect
51. C43×#554C22semidirect
52. D4×Q8×C43C22semidirect
56. C43×#533C22semidirect
58. C2×C22⋊Q8×C43C22semidirect
77. C2×#10621885C23semidirect
81. C2×#10621877C23semidirect
102. #13063258C23semidirect
103. C4⋊(C43⋊C8)C23semidirect
104. #13063249C23semidirect
105. #13063248C23semidirect
110. C22⋊(C43⋊C8)C23semidirect
111. #13063236C23semidirect
113. C22×Q8×C43C23semidirect
118. C4⋊Q8×C43C23semidirect
119. C4⋊Q8×C43C23semidirect
133. C22⋊Q8×C43C23semidirect
135. C4×Q8×C43C23semidirect
145. C2×C4⋊C4×C43C23semidirect
247. C23×C43#137semidirect
338. #3501D43semidirect
362. #554C2×D43semidirect
363. D4×Q8C2×D43semidirect
369. #533C2×D43semidirect
374. C2×C22⋊Q8C2×D43semidirect
406. C43#61570semidirect
413. C22×Q8C22×D43semidirect
435. C4⋊Q8C22×D43semidirect
436. C4⋊Q8C22×D43semidirect
455. C22⋊Q8C22×D43semidirect
461. C4×Q8C22×D43semidirect
475. C2×C4⋊C4C22×D43semidirect
605. C23#13063356semidirect

Maximal subgroups

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

subgroupindex
C2×#145835452
#191466702
#191461062
#191455942
#191453972
#191453672
#191446902
#191438532
C2×#145830492
#191436242
C43×#35012
#6157043