Finite Group Databasebeta

← #25967174

Subgroups — #25967174

Order 11008.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583410C212yesmaximal, complemented
2#19145388C214yesmaximal, complemented
3#19145378C214yesmaximal, complemented
4#19145370C211yesmaximal, characteristic, complemented
5#19145362C214yesmaximal, complemented
6#19145353C212yesmaximal, complemented
7#19145346C211yesmaximal, characteristic, complemented
8#19144510C214yesmaximal, complemented
9#19144176C214yesmaximal, complemented
10#19143817C214yesmaximal, complemented
11C22×C22⋊C8×C43C211yesmaximal, characteristic, complemented
12C22×#10621898C2212yescomplemented
13C2×#13063347C2214yescomplemented
14#14583410—22no—
15#14583410—22no—
16#14583410—22no—
17#14583410—22no—
18#14583410C2214yes—
19#14583410C2214yes—
20#14583410C2214yescomplemented
21#14583410C2214yescomplemented
22C2×#13063308—22no—
23C2×#13063304C2212yes—
24C2×#13063304C2212yescomplemented
25C2×#13063299C2212yes—
26C2×#13063299C2212yescomplemented
27C2×#13063294—22no—
28C2×C4×C22⋊D43—22no—
29C2×C4×C22⋊D43—22no—
30C2×#13063284C2212yescomplemented
31#14583241C2218yescomplemented
32#14583235C2214yescomplemented
33#14583230C2214yescomplemented
34#14583224C2218yescomplemented
35#14583218C2214yescomplemented
36#14583213C2214yescomplemented
37#14583140C2214yescomplemented
38#14583140C2214yescomplemented
39#14583135C2214yescomplemented
40#14583135C2214yescomplemented
41#14583128C2218yescomplemented
42#14583128C2218yescomplemented
43#14583063C2218yescomplemented
44#14583057C2214yescomplemented
45#14583052C2214yescomplemented
46#14583046C2218yescomplemented
47#14583040C2214yescomplemented
48#14583035C2214yescomplemented
49#14582937C2214yescomplemented
50#14582896C2218yescomplemented
51C24×C4×C43C2211yescharacteristic
52C23×C8×C43C2212yescomplemented
53C2×C22⋊C8×C43C2211yescharacteristic
54C2×C22⋊C8×C43C2211yescharacteristic
55C2×C22⋊C8×C43C2214yescomplemented
56C2×C22⋊C8×C43C2214yescomplemented
57C2×C22⋊C8×C43C2212yescomplemented
58C2×#10621898—22no—
59C2×#10621898—22no—
60C2×#10621898—48no—
61C2×#10621898C2314yes—
62C2×#10621898C2314yes—
63C22×Dic86C2312yes—
64C22×D172C2312yes—
65C22×C22⋊D43—22no—
66C22×C22⋊D43—22no—
67C22×C22⋊D43—22no—
68C22×C4×D43—22no—
69#13063347—48no—
70C2×Dic172C2314yescomplemented
71C2×#10621873C2318yescomplemented
72C2×D344C2314yescomplemented
73#13063308—24no—
74#13063308—24no—
75#13063308—24no—
76#13063308—24no—
77#13063304—22no—
78#13063304—22no—
79#13063304—22no—
80#13063304—22no—
81#13063304C2314yes—
82#13063304C2314yes—
83#13063304C2314yes—
84#13063304C2314yes—
85#13063299—22no—
86#13063299—22no—
87#13063299—22no—
88#13063299—22no—
89#13063299C2314yes—
90#13063299C2314yes—
91#13063299C2314yes—
92#13063299C2314yes—
93#13063294—24no—
94#13063294—24no—
95#13063294—24no—
96#13063294—24no—
97C4×C22⋊D43—24no—
98C4×C22⋊D43—24no—
99C4×C22⋊D43—24no—
100C4×C22⋊D43—24no—
101C4×C22⋊D43—24no—
102C4×C22⋊D43—24no—
103C4×C22⋊D43—24no—
104C4×C22⋊D43—24no—
105#13063284—22no—
106#13063284—22no—
107#13063284C2314yes—
108#13063284C2314yes—
109C2×C4⋊Dic43C2312yes—
110C2×C4⋊Dic43C2312yes—
111C2×Dic43⋊C4—22no—
112C2×Dic43⋊C4—22no—
113C2×C22⋊Dic43—22no—
114C2×C22⋊Dic43—22no—
115C2×C22⋊Dic43—22no—
116C2×(C2×D43)⋊C4—22no—
117C2×(C2×D43)⋊C4—22no—
118C2×C4×Dic43—22no—
119#13063259C2314yescomplemented
120#13063259C2314yescomplemented
121#13063257C2318yescomplemented
122#13063250C2318yescomplemented
123#13063250C2318yescomplemented
124#13063247C2318yescomplemented
125#13063247C2318yescomplemented
126C25×C43D411yescharacteristic
127C23×C4×C43—44no—
128C23×C4×C43D411yescharacteristic
129C23×C4×C43D412yes—
130C23×C4×C43D412yes—
131C23×C4×C43D411yescharacteristic
132C23×C4×C43D411yescharacteristic
133C23×C4×C43C2312yes—
134C23×C4×C43C2311yescharacteristic
135C23×C4×C43C2311yescharacteristic
136C23×C4×C43C2312yes—
137C23×C4×C43C2311yescharacteristic
138C22×C8×C43—44no—
139C22×C8×C43C2314yes—
140C22×C8×C43C2312yes—
141C22×C8×C43C2314yes—
142C22×C8×C43C2312yes—
143C22⋊C8×C43C2314yes—
144C22⋊C8×C43C2318yes—
145C22⋊C8×C43C2314yes—
146C24×C43—24no—
147C24×C43—42no—
148C24×C43—42no—
149C24×C43C2×D411yescharacteristic
150C24×C43C2×D412yes—
151C24×C43C2×D412yes—
152C24×C43C2×D411yescharacteristic
153C24×C43C2×D411yescharacteristic
154C23×D43—22no—
155C22×C4×C43—24no—
156C22×C4×C43—28no—
157C22×C4×C43—42no—
158C22×C4×C43—44no—
159C22×C4×C43—42no—
160C22×C4×C43—44no—
161C22×C4×C43—42no—
162C22×C4×C43—42no—
163C22×C4×C43—44no—
164C22×C4×C43—42no—
165C22×C4×C43C2×D412yes—
166C22×C4×C43C2×D412yes—
167C22×C4×C43C2×D412yes—
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D412yes—
172C22×C4×C43C2×D412yes—
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D412yes—
175C22×C4×C43C2×D412yes—
176C22×C4×C43C2×D411yescharacteristic
177C22×C4×C43C2×D412yes—
178C22×C4×C43C2412yes—
179C22×C4×C43C2412yes—
180C22×C4×C43C2411yescharacteristic
181C22×C4×C43C2411yescharacteristic
182C22×C4×C43C2411yescharacteristic
183C2×C22⋊D43—24no—
184C2×C22⋊D43—24no—
185C2×C22⋊D43—24no—
186C2×C22⋊D43—24no—
187C2×C22⋊D43—24no—
188C2×C22⋊D43—24no—
189C2×C22⋊D43—48no—
190C2×C22⋊D43—48no—
191C2×C22⋊D43—48no—
192C22×Dic43—22no—
193C22×Dic43—22no—
194C22×Dic43—22no—
195#10621898—216no—
196#10621898—48no—
197#10621898—48no—
198#10621898—48no—
199C2×D172—22no—
200C2×D172—44no—
201C2×D172C2414yes—
202C2×C4×D43—24no—
203C2×C4×D43—24no—
204C2×C4×D43—48no—
205C2×Dic86—22no—
206C2×Dic86—44no—
207C2×Dic86C2414yes—
208C2×C8×C43—28no—
209C2×C8×C43—42no—
210C2×C8×C43—44no—
211C2×C8×C43—42no—
212C2×C8×C43C2414yes—
213C2×C8×C43C2414yes—
214C22⋊Dic43—24no—
215C22⋊Dic43—24no—
216C22⋊Dic43—24no—
217C22⋊Dic43—24no—
218C22⋊Dic43—24no—
219C22⋊Dic43—24no—
220(C2×D43)⋊C4—24no—
221(C2×D43)⋊C4—24no—
222(C2×D43)⋊C4—24no—
223(C2×D43)⋊C4—24no—
224C4⋊Dic43—22no—
225C4⋊Dic43—22no—
226C4⋊Dic43C2414yes—
227C4⋊Dic43C2414yes—
228Dic43⋊C4—24no—
229Dic43⋊C4—24no—
230Dic43⋊C4—24no—
231Dic43⋊C4—24no—
232C4×Dic43—24no—
233C4×Dic43—24no—
234Dic172—44no—
235D344—44no—
236#10621873—48no—
237C23×C43—22no—
238C23×C43—22no—
239C23×C43—22no—
240C23×C43—24no—
241C23×C43—24no—
242C23×C43—24no—
243C23×C43—22no—
244C23×C43—24no—
245C23×C43—41no—
246C23×C43—42no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—42no—
250C23×C43—41no—
251C23×C43—416no—
252C23×C43#13514yescomplemented
253C23×C43C22×D412yes—
254C23×C43C22×D411yescharacteristic
255C23×C43C22×D411yescharacteristic
256C23×C43C22×D412yes—
257C23×C43C22×D411yescharacteristic
258C22×D43—24no—
259C22×D43—44no—
260C22×D43—44no—
261C22×D43—44no—
262C2×C4×C43—24no—
263C2×C4×C43—22no—
264C2×C4×C43—24no—
265C2×C4×C43—24no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—24no—
271C2×C4×C43—24no—
272C2×C4×C43—41no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—41no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43C22×D412yes—
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×D412yes—
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43H(5,𝔽2)14yes—
285C2×C4×C43C2511yescharacteristic
286C22⋊D43—48no—
287C22⋊D43—48no—
288C22⋊D43—48no—
289C22⋊D43—48no—
290C22⋊D43—48no—
291C22⋊D43—48no—
292C2×Dic43—24no—
293C2×Dic43—24no—
294C2×Dic43—24no—
295C2×Dic43—44no—
296C2×Dic43—44no—
297C2×Dic43—44no—
298D172—28no—
299D172—44no—
300C4×D43—48no—
301C4×D43—48no—
302Dic86—28no—
303Dic86—44no—
304C8×C43—24no—
305C8×C43—24no—
306#60734—431nomaximal, Sylow
307C22×C43—28no—
308C22×C43—22no—
309C22×C43—21no—
310C22×C43—21no—
311C22×C43—21no—
312C22×C43—21no—
313C22×C43—22no—
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—44no—
320C22×C43—48no—
321C22×C43—48no—
322C22×C43—44no—
323C22×C43#53412yes—
324C22×C43C2×#13514yes—
325C22×C43C2×#13512yes—
326C22×C43#57512yes—
327C22×C43C23×D411yescharacteristic
328C2×D43—44no—
329C2×D43—44no—
330C2×D43—44no—
331C2×D43—88no—
332C4×C43—22no—
333C4×C43—22no—
334C4×C43—21no—
335C4×C43—21no—
336C4×C43#53412yes—
337C4×C43C2×H(5,𝔽2)12yes—
338Dic43—44no—
339Dic43—44no—
340Dic43—44no—
341C2×#525—432no—
342#3191—434no—
343#3190—434no—
344#3189—431no—
345#3188—434no—
346#3187—432no—
347#3186—431no—
348#3091—434no—
349#3050—434no—
350#3002—434no—
351C22×C22⋊C8D4311yescharacteristic, complemented
352C2×C43—24no—
353C2×C43—22no—
354C2×C43—22no—
355C2×C43—22no—
356C2×C43—42no—
357C2×C43C2×#53411yescharacteristic
358C2×C43C22×#13511yescharacteristic
359C2×C43C2×#57511yescharacteristic
360D43—84no—
361C22×#41—432no—
362C24×C4C2×D4311yescharacteristic
363C2×#135—434no—
364C23×C8C2×D4312yescomplemented
365#525—434no—
366#525—434no—
367#525—434no—
368#525—434no—
369#525—862no—
370#525—862no—
371#525—862no—
372#525—862no—
373C2×#123—862no—
374C2×C22⋊Q8—432no—
375C2×C22⋊Q8—432no—
376C2×#121—432no—
377C2×#121—432no—
378C2×#120—862no—
379C2×C4×D4—862no—
380C2×C4×D4—862no—
381C2×#117—432no—
382#485—438no—
383#484—434no—
384#483—434no—
385#482—438no—
386#481—434no—
387#480—434no—
388#467—434no—
389#467—434no—
390#466—434no—
391#466—434no—
392#465—438no—
393#465—438no—
394#452—438no—
395#451—434no—
396#450—434no—
397#449—438no—
398#448—434no—
399#447—434no—
400#427—434no—
401#416—438no—
402C2×C22⋊C8C2×D4311yescharacteristic
403C2×C22⋊C8C2×D4311yescharacteristic
404C2×C22⋊C8C2×D4314yescomplemented
405C2×C22⋊C8C2×D4314yescomplemented
406C2×C22⋊C8C2×D4312yescomplemented
407C43#6073411yescharacteristic, complemented, Sylow
408C25D17211yescharacteristic
409C2×#41—434no—
410C2×#41—434no—
411C2×#41—862no—
412C2×#41—862no—
413C2×#41—1728no—
414C22×Q8—432no—
415C22×D4—432no—
416C22×D4—862no—
417C22×D4—862no—
418C22×D4—862no—
419C23×C4—44no—
420C23×C4—862no—
421C23×C4D17211yescharacteristic
422C23×C4D17212yes—
423C23×C4D17212yes—
424C23×C4D17211yescharacteristic
425C23×C4D17211yescharacteristic
426C23×C4C22×D4312yes—
427C23×C4C22×D4311yescharacteristic
428C23×C4C22×D4311yescharacteristic
429C23×C4C22×D4312yes—
430C23×C4C22×D4311yescharacteristic
431#135—1728no—
432C2×Q16—434no—
433C2×SD16—438no—
434C2×D8—434no—
435C22×C8—44no—
436C22×C8C22×D4314yes—
437C22×C8C22×D4312yes—
438C22×C8C22×D4312yes—
439C22×C8C22×D4314yes—
440#123—864no—
441#123—864no—
442#123—864no—
443#123—864no—
444C22⋊Q8—434no—
445C22⋊Q8—434no—
446C22⋊Q8—434no—
447C22⋊Q8—434no—
448C22⋊Q8—862no—
449C22⋊Q8—862no—
450C22⋊Q8—862no—
451C22⋊Q8—862no—
452#121—434no—
453#121—434no—
454#121—434no—
455#121—434no—
456#121—862no—
457#121—862no—
458#121—862no—
459#121—862no—
460#120—864no—
461#120—864no—
462#120—864no—
463#120—864no—
464C4×D4—864no—
465C4×D4—864no—
466C4×D4—864no—
467C4×D4—864no—
468C4×D4—864no—
469C4×D4—864no—
470C4×D4—864no—
471C4×D4—864no—
472#117—434no—
473#117—434no—
474#117—862no—
475#117—862no—
476C2×C4⋊C4—432no—
477C2×C4⋊C4—432no—
478C2×C4⋊C4—862no—
479C2×C4⋊C4—862no—
480C2×C22⋊C4—862no—
481C2×C22⋊C4—862no—
482C2×C22⋊C4—862no—
483C2×C22⋊C4—862no—
484C2×C22⋊C4—862no—
485C2×C42—862no—
486#107—434no—
487#107—434no—
488#106—438no—
489#103—438no—
490#103—438no—
491#102—438no—
492#102—438no—
493C22⋊C8C22×D4314yes—
494C22⋊C8C22×D4314yes—
495C22⋊C8C22×D4318yes—
496C24—24no—
497C24—42no—
498C24—42no—
499C24—862no—
500C24C2×D17211yescharacteristic
501C24C2×D17212yes—
502C24C2×D17212yes—
503C24C2×D17211yescharacteristic
504C24C2×D17211yescharacteristic
505#41—8616no—
506#41—1728no—
507#41—1728no—
508#41—1728no—
509C2×Q8—434no—
510C2×Q8—862no—
511C2×Q8—1724no—
512C2×D4—434no—
513C2×D4—864no—
514C2×D4—864no—
515C2×D4—864no—
516C2×D4—864no—
517C2×D4—864no—
518C2×D4—864no—
519C2×D4—862no—
520C2×D4—1724no—
521C2×D4—1728no—
522C2×D4—1728no—
523C2×D4—1728no—
524C22×C4—24no—
525C22×C4—28no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—44no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—864no—
538C22×C4—864no—
539C22×C4—1728no—
540C22×C4C2×D17212yes—
541C22×C4C2×D17211yescharacteristic
542C22×C4C2×D17212yes—
543C22×C4C2×D17212yes—
544C22×C4C2×D17211yescharacteristic
545C22×C4C2×D17211yescharacteristic
546C22×C4C2×D17212yes—
547C22×C4C2×D17212yes—
548C22×C4C2×D17211yescharacteristic
549C22×C4C2×D17212yes—
550C22×C4C2×D17212yes—
551C22×C4C2×D17211yescharacteristic
552C22×C4C2×D17212yes—
553C22×C4C23×D4312yes—
554C22×C4C23×D4312yes—
555C22×C4C23×D4311yescharacteristic
556C22×C4C23×D4311yescharacteristic
557C22×C4C23×D4311yescharacteristic
558Q16—1724no—
559SD16—1728no—
560D8—1724no—
561C2×C8—28no—
562C2×C8—42no—
563C2×C8—44no—
564C2×C8—42no—
565C2×C8C23×D4314yes—
566C2×C8C23×D4314yes—
567C4⋊C4—434no—
568C4⋊C4—434no—
569C4⋊C4—862no—
570C4⋊C4—862no—
571C4⋊C4—864no—
572C4⋊C4—864no—
573C4⋊C4—864no—
574C4⋊C4—864no—
575C22⋊C4—864no—
576C22⋊C4—864no—
577C22⋊C4—864no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C22⋊C4—864no—
582C22⋊C4—864no—
583C22⋊C4—864no—
584C22⋊C4—864no—
585C42—864no—
586C42—864no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—416no—
602C23—864no—
603C23—1724no—
604C23—1724no—
605C23—1724no—
606C23#1306334714yescomplemented
607C23C22×D17212yes—
608C23C22×D17211yescharacteristic
609C23C22×D17212yes—
610C23C22×D17211yescharacteristic
611C23C22×D17211yescharacteristic
612Q8—868no—
613Q8—1724no—
614D4—868no—
615D4—1724no—
616D4—1728no—
617D4—1728no—
618D4—1728no—
619D4—1728no—
620D4—1728no—
621D4—1728no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—864no—
640C2×C4—864no—
641C2×C4—864no—
642C2×C4—1728no—
643C2×C4—1724no—
644C2×C4—1724no—
645C2×C4—1724no—
646C2×C4—1728no—
647C2×C4C22×D17212yes—
648C2×C4C22×D17211yescharacteristic
649C2×C4C22×D17211yescharacteristic
650C2×C4C22×D17212yes—
651C2×C4C22×D17211yescharacteristic
652C2×C4#1306337014yes—
653C2×C4C24×D4311yescharacteristic
654C8—24no—
655C8—24no—
656C22—28no—
657C22—21no—
658C22—21no—
659C22—22no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—48no—
670C22—48no—
671C22—44no—
672C22—3448no—
673C22—1724no—
674C22—1724no—
675C22—1724no—
676C22#1458346112yes—
677C22C2×#1306334714yes—
678C22C2×#1306334712yes—
679C22#1458369912yes—
680C22C23×D17211yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—1724no—
686C4—1724no—
687C4—1724no—
688C4#1458346112yes—
689C4C2×#1306337012yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—3444no—
696C2C2×#1458346111yescharacteristic
697C2C22×#1306334711yescharacteristic
698C2C2×#1458369911yescharacteristic
subgroupG/H
centerC2×C4C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×C22⋊C8×C43C2
socleC22×C43C23×D4
hypercenterC22×C22⋊C8D43
hypocenterC43#60734
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#14583410C2semidirect
2. #19145388C2semidirect
3. #19145378C2semidirect
4. #19145370C2semidirect
5. #19145362C2semidirect
6. #19145353C2semidirect
7. #19145346C2semidirect
8. #19144510C2semidirect
9. #19144176C2semidirect
10. #19143817C2semidirect
11. C22×C22⋊C8×C43C2semidirect
12. C22×#10621898C22semidirect
13. C2×#13063347C22semidirect
20. #14583410C22semidirect
21. #14583410C22semidirect
24. C2×#13063304C22semidirect
26. C2×#13063299C22semidirect
30. C2×#13063284C22semidirect
31. #14583241C22semidirect
32. #14583235C22semidirect
33. #14583230C22semidirect
34. #14583224C22semidirect
35. #14583218C22semidirect
36. #14583213C22semidirect
37. #14583140C22semidirect
38. #14583140C22semidirect
39. #14583135C22semidirect
40. #14583135C22semidirect
41. #14583128C22semidirect
42. #14583128C22semidirect
43. #14583063C22semidirect
44. #14583057C22semidirect
45. #14583052C22semidirect
46. #14583046C22semidirect
47. #14583040C22semidirect
48. #14583035C22semidirect
49. #14582937C22semidirect
50. #14582896C22semidirect
52. C23×C8×C43C22semidirect
55. C2×C22⋊C8×C43C22semidirect
56. C2×C22⋊C8×C43C22semidirect
57. C2×C22⋊C8×C43C22semidirect
70. C2×Dic172C23semidirect
71. C2×#10621873C23semidirect
72. C2×D344C23semidirect
119. #13063259C23semidirect
120. #13063259C23semidirect
121. #13063257C23semidirect
122. #13063250C23semidirect
123. #13063250C23semidirect
124. #13063247C23semidirect
125. #13063247C23semidirect
252. C23×C43#135semidirect
351. C22×C22⋊C8D43semidirect
364. C23×C8C2×D43semidirect
404. C2×C22⋊C8C2×D43semidirect
405. C2×C22⋊C8C2×D43semidirect
406. C2×C22⋊C8C2×D43semidirect
407. C43#60734semidirect
606. C23#13063347semidirect

Maximal subgroups

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

subgroupindex
C2×#145834102
#191453882
#191453782
#191453702
#191453622
#191453532
#191453462
#191445102
#191441762
#191438172
C22×C22⋊C8×C432
#6073443