Finite Group Databasebeta

← #32868029

Subgroups — #32868029

Order 18176.

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×#17986510C212yesmaximal, complemented
2#22599133C214yesmaximal, complemented
3#22599123C214yesmaximal, complemented
4#22599115C211yesmaximal, characteristic, complemented
5#22599107C214yesmaximal, complemented
6#22599098C212yesmaximal, complemented
7#22599091C211yesmaximal, characteristic, complemented
8#22598255C214yesmaximal, complemented
9#22597921C214yesmaximal, complemented
10#22597562C214yesmaximal, complemented
11C22×C22⋊C8×C71C211yesmaximal, characteristic, complemented
12C22×#11765865C2212yescomplemented
13C2×#14556150C2214yescomplemented
14#17986510—22no—
15#17986510—22no—
16#17986510—22no—
17#17986510—22no—
18#17986510C2214yes—
19#17986510C2214yes—
20#17986510C2214yescomplemented
21#17986510C2214yescomplemented
22C2×#14556111—22no—
23C2×#14556107C2212yes—
24C2×#14556107C2212yescomplemented
25C2×#14556102C2212yes—
26C2×#14556102C2212yescomplemented
27C2×#14556097—22no—
28C2×C4×C22⋊D71—22no—
29C2×C4×C22⋊D71—22no—
30C2×#14556087C2212yescomplemented
31#17986341C2218yescomplemented
32#17986335C2214yescomplemented
33#17986330C2214yescomplemented
34#17986324C2218yescomplemented
35#17986318C2214yescomplemented
36#17986313C2214yescomplemented
37#17986240C2214yescomplemented
38#17986240C2214yescomplemented
39#17986235C2214yescomplemented
40#17986235C2214yescomplemented
41#17986228C2218yescomplemented
42#17986228C2218yescomplemented
43#17986163C2218yescomplemented
44#17986157C2214yescomplemented
45#17986152C2214yescomplemented
46#17986146C2218yescomplemented
47#17986140C2214yescomplemented
48#17986135C2214yescomplemented
49#17986037C2214yescomplemented
50#17985996C2218yescomplemented
51C24×C4×C71C2211yescharacteristic
52C23×C8×C71C2212yescomplemented
53C2×C22⋊C8×C71C2211yescharacteristic
54C2×C22⋊C8×C71C2211yescharacteristic
55C2×C22⋊C8×C71C2214yescomplemented
56C2×C22⋊C8×C71C2214yescomplemented
57C2×C22⋊C8×C71C2212yescomplemented
58C2×#11765865—22no—
59C2×#11765865—22no—
60C2×#11765865—48no—
61C2×#11765865C2314yes—
62C2×#11765865C2314yes—
63C22×Dic142C2312yes—
64C22×D284C2312yes—
65C22×C22⋊D71—22no—
66C22×C22⋊D71—22no—
67C22×C22⋊D71—22no—
68C22×C4×D71—22no—
69#14556150—48no—
70C2×Dic284C2314yescomplemented
71C2×#11765854C2318yescomplemented
72C2×D568C2314yescomplemented
73#14556111—24no—
74#14556111—24no—
75#14556111—24no—
76#14556111—24no—
77#14556107—22no—
78#14556107—22no—
79#14556107—22no—
80#14556107—22no—
81#14556107C2314yes—
82#14556107C2314yes—
83#14556107C2314yes—
84#14556107C2314yes—
85#14556102—22no—
86#14556102—22no—
87#14556102—22no—
88#14556102—22no—
89#14556102C2314yes—
90#14556102C2314yes—
91#14556102C2314yes—
92#14556102C2314yes—
93#14556097—24no—
94#14556097—24no—
95#14556097—24no—
96#14556097—24no—
97C4×C22⋊D71—24no—
98C4×C22⋊D71—24no—
99C4×C22⋊D71—24no—
100C4×C22⋊D71—24no—
101C4×C22⋊D71—24no—
102C4×C22⋊D71—24no—
103C4×C22⋊D71—24no—
104C4×C22⋊D71—24no—
105#14556087—22no—
106#14556087—22no—
107#14556087C2314yes—
108#14556087C2314yes—
109C2×C4⋊Dic71C2312yes—
110C2×C4⋊Dic71C2312yes—
111C2×Dic71⋊C4—22no—
112C2×Dic71⋊C4—22no—
113C2×C22⋊Dic71—22no—
114C2×C22⋊Dic71—22no—
115C2×C22⋊Dic71—22no—
116C2×(C2×D71)⋊C4—22no—
117C2×(C2×D71)⋊C4—22no—
118C2×C4×Dic71—22no—
119#14556062C2314yescomplemented
120#14556062C2314yescomplemented
121#14556060C2318yescomplemented
122#14556053C2318yescomplemented
123#14556053C2318yescomplemented
124#14556050C2318yescomplemented
125#14556050C2318yescomplemented
126C25×C71D411yescharacteristic
127C23×C4×C71—44no—
128C23×C4×C71D411yescharacteristic
129C23×C4×C71D412yes—
130C23×C4×C71D412yes—
131C23×C4×C71D411yescharacteristic
132C23×C4×C71D411yescharacteristic
133C23×C4×C71C2312yes—
134C23×C4×C71C2311yescharacteristic
135C23×C4×C71C2311yescharacteristic
136C23×C4×C71C2312yes—
137C23×C4×C71C2311yescharacteristic
138C22×C8×C71—44no—
139C22×C8×C71C2314yes—
140C22×C8×C71C2312yes—
141C22×C8×C71C2312yes—
142C22×C8×C71C2314yes—
143C22⋊C8×C71C2314yes—
144C22⋊C8×C71C2314yes—
145C22⋊C8×C71C2318yes—
146C23×D71—22no—
147#11765865—216no—
148#11765865—48no—
149#11765865—48no—
150#11765865—48no—
151C2×Dic142—22no—
152C2×Dic142—44no—
153C2×Dic142C2414yes—
154C2×D284—22no—
155C2×D284—44no—
156C2×D284C2414yes—
157C2×C22⋊D71—24no—
158C2×C22⋊D71—24no—
159C2×C22⋊D71—24no—
160C2×C22⋊D71—24no—
161C2×C22⋊D71—24no—
162C2×C22⋊D71—24no—
163C2×C22⋊D71—48no—
164C2×C22⋊D71—48no—
165C2×C22⋊D71—48no—
166C22×Dic71—22no—
167C22×Dic71—22no—
168C22×Dic71—22no—
169C2×C4×D71—24no—
170C2×C4×D71—24no—
171C2×C4×D71—48no—
172Dic284—44no—
173#11765854—48no—
174D568—44no—
175C4⋊Dic71—22no—
176C4⋊Dic71—22no—
177C4⋊Dic71C2414yes—
178C4⋊Dic71C2414yes—
179Dic71⋊C4—24no—
180Dic71⋊C4—24no—
181Dic71⋊C4—24no—
182Dic71⋊C4—24no—
183C22⋊Dic71—24no—
184C22⋊Dic71—24no—
185C22⋊Dic71—24no—
186C22⋊Dic71—24no—
187C22⋊Dic71—24no—
188C22⋊Dic71—24no—
189(C2×D71)⋊C4—24no—
190(C2×D71)⋊C4—24no—
191(C2×D71)⋊C4—24no—
192(C2×D71)⋊C4—24no—
193C4×Dic71—24no—
194C4×Dic71—24no—
195C24×C71—24no—
196C24×C71—42no—
197C24×C71—42no—
198C24×C71C2×D411yescharacteristic
199C24×C71C2×D412yes—
200C24×C71C2×D412yes—
201C24×C71C2×D411yescharacteristic
202C24×C71C2×D411yescharacteristic
203C22×C4×C71—28no—
204C22×C4×C71—24no—
205C22×C4×C71—42no—
206C22×C4×C71—44no—
207C22×C4×C71—42no—
208C22×C4×C71—42no—
209C22×C4×C71—44no—
210C22×C4×C71—42no—
211C22×C4×C71—44no—
212C22×C4×C71—42no—
213C22×C4×C71C2×D412yes—
214C22×C4×C71C2×D412yes—
215C22×C4×C71C2×D412yes—
216C22×C4×C71C2×D411yescharacteristic
217C22×C4×C71C2×D411yescharacteristic
218C22×C4×C71C2×D411yescharacteristic
219C22×C4×C71C2×D412yes—
220C22×C4×C71C2×D412yes—
221C22×C4×C71C2×D411yescharacteristic
222C22×C4×C71C2×D412yes—
223C22×C4×C71C2×D412yes—
224C22×C4×C71C2×D411yescharacteristic
225C22×C4×C71C2×D412yes—
226C22×C4×C71C2412yes—
227C22×C4×C71C2412yes—
228C22×C4×C71C2411yescharacteristic
229C22×C4×C71C2411yescharacteristic
230C22×C4×C71C2411yescharacteristic
231C2×C8×C71—28no—
232C2×C8×C71—42no—
233C2×C8×C71—44no—
234C2×C8×C71—42no—
235C2×C8×C71C2414yes—
236C2×C8×C71C2414yes—
237C23×C71—22no—
238C23×C71—22no—
239C23×C71—22no—
240C23×C71—24no—
241C23×C71—24no—
242C23×C71—24no—
243C23×C71—22no—
244C23×C71—24no—
245C23×C71—41no—
246C23×C71—42no—
247C23×C71—41no—
248C23×C71—41no—
249C23×C71—42no—
250C23×C71—41no—
251C23×C71—416no—
252C23×C71#13514yescomplemented
253C23×C71C22×D412yes—
254C23×C71C22×D411yescharacteristic
255C23×C71C22×D411yescharacteristic
256C23×C71C22×D412yes—
257C23×C71C22×D411yescharacteristic
258C22×D71—24no—
259C22×D71—44no—
260C22×D71—44no—
261C22×D71—44no—
262C2×C4×C71—22no—
263C2×C4×C71—24no—
264C2×C4×C71—22no—
265C2×C4×C71—22no—
266C2×C4×C71—24no—
267C2×C4×C71—24no—
268C2×C4×C71—22no—
269C2×C4×C71—22no—
270C2×C4×C71—24no—
271C2×C4×C71—24no—
272C2×C4×C71—41no—
273C2×C4×C71—42no—
274C2×C4×C71—42no—
275C2×C4×C71—42no—
276C2×C4×C71—41no—
277C2×C4×C71—42no—
278C2×C4×C71—42no—
279C2×C4×C71C22×D412yes—
280C2×C4×C71C22×D411yescharacteristic
281C2×C4×C71C22×D411yescharacteristic
282C2×C4×C71C22×D412yes—
283C2×C4×C71C22×D411yescharacteristic
284C2×C4×C71H(5,𝔽2)14yes—
285C2×C4×C71C2511yescharacteristic
286C22⋊D71—48no—
287C22⋊D71—48no—
288C22⋊D71—48no—
289C22⋊D71—48no—
290C22⋊D71—48no—
291C22⋊D71—48no—
292C2×Dic71—24no—
293C2×Dic71—24no—
294C2×Dic71—24no—
295C2×Dic71—44no—
296C2×Dic71—44no—
297C2×Dic71—44no—
298D284—28no—
299D284—44no—
300C4×D71—48no—
301C4×D71—48no—
302Dic142—28no—
303Dic142—44no—
304C8×C71—24no—
305C8×C71—24no—
306C22×C71—28no—
307C22×C71—22no—
308C22×C71—21no—
309C22×C71—21no—
310C22×C71—21no—
311C22×C71—21no—
312C22×C71—22no—
313C22×C71—21no—
314C22×C71—21no—
315C22×C71—22no—
316C22×C71—22no—
317C22×C71—22no—
318C22×C71—44no—
319C22×C71—48no—
320C22×C71—48no—
321C22×C71—44no—
322C22×C71#53412yes—
323C22×C71C2×#13514yes—
324C22×C71C2×#13512yes—
325C22×C71#57512yes—
326C22×C71C23×D411yescharacteristic
327C2×D71—44no—
328C2×D71—44no—
329C2×D71—44no—
330C2×D71—88no—
331C4×C71—22no—
332C4×C71—22no—
333C4×C71—21no—
334C4×C71—21no—
335C4×C71#53412yes—
336C4×C71C2×H(5,𝔽2)12yes—
337Dic71—44no—
338Dic71—44no—
339Dic71—44no—
340#60734—711nomaximal, Sylow
341C2×C71—24no—
342C2×C71—22no—
343C2×C71—22no—
344C2×C71—22no—
345C2×C71—42no—
346C2×C71C2×#53411yescharacteristic
347C2×C71C22×#13511yescharacteristic
348C2×C71C2×#57511yescharacteristic
349D71—84no—
350C2×#525—712no—
351#3191—714no—
352#3190—714no—
353#3189—711no—
354#3188—714no—
355#3187—712no—
356#3186—711no—
357#3091—714no—
358#3050—714no—
359#3002—714no—
360C22×C22⋊C8D7111yescharacteristic, complemented
361C71#6073411yescharacteristic, complemented, Sylow
362C22×#41—712no—
363C24×C4C2×D7111yescharacteristic
364C2×#135—714no—
365C23×C8C2×D7112yescomplemented
366#525—714no—
367#525—714no—
368#525—714no—
369#525—714no—
370#525—1422no—
371#525—1422no—
372#525—1422no—
373#525—1422no—
374C2×#123—1422no—
375C2×C22⋊Q8—712no—
376C2×C22⋊Q8—712no—
377C2×#121—712no—
378C2×#121—712no—
379C2×#120—1422no—
380C2×C4×D4—1422no—
381C2×C4×D4—1422no—
382C2×#117—712no—
383#485—718no—
384#484—714no—
385#483—714no—
386#482—718no—
387#481—714no—
388#480—714no—
389#467—714no—
390#467—714no—
391#466—714no—
392#466—714no—
393#465—718no—
394#465—718no—
395#452—718no—
396#451—714no—
397#450—714no—
398#449—718no—
399#448—714no—
400#447—714no—
401#427—714no—
402#416—718no—
403C2×C22⋊C8C2×D7111yescharacteristic
404C2×C22⋊C8C2×D7111yescharacteristic
405C2×C22⋊C8C2×D7114yescomplemented
406C2×C22⋊C8C2×D7114yescomplemented
407C2×C22⋊C8C2×D7112yescomplemented
408C25D28411yescharacteristic
409C2×#41—2848no—
410C2×#41—714no—
411C2×#41—714no—
412C2×#41—1422no—
413C2×#41—1422no—
414C22×Q8—712no—
415C22×D4—712no—
416C22×D4—1422no—
417C22×D4—1422no—
418C22×D4—1422no—
419C23×C4—44no—
420C23×C4—1422no—
421C23×C4D28411yescharacteristic
422C23×C4D28412yes—
423C23×C4D28412yes—
424C23×C4D28411yescharacteristic
425C23×C4D28411yescharacteristic
426C23×C4C22×D7112yes—
427C23×C4C22×D7111yescharacteristic
428C23×C4C22×D7111yescharacteristic
429C23×C4C22×D7112yes—
430C23×C4C22×D7111yescharacteristic
431#135—2848no—
432C2×Q16—714no—
433C2×SD16—718no—
434C2×D8—714no—
435C22×C8—44no—
436C22×C8C22×D7114yes—
437C22×C8C22×D7112yes—
438C22×C8C22×D7112yes—
439C22×C8C22×D7114yes—
440#123—1424no—
441#123—1424no—
442#123—1424no—
443#123—1424no—
444C22⋊Q8—714no—
445C22⋊Q8—714no—
446C22⋊Q8—714no—
447C22⋊Q8—714no—
448C22⋊Q8—1422no—
449C22⋊Q8—1422no—
450C22⋊Q8—1422no—
451C22⋊Q8—1422no—
452#121—714no—
453#121—714no—
454#121—714no—
455#121—714no—
456#121—1422no—
457#121—1422no—
458#121—1422no—
459#121—1422no—
460#120—1424no—
461#120—1424no—
462#120—1424no—
463#120—1424no—
464C4×D4—1424no—
465C4×D4—1424no—
466C4×D4—1424no—
467C4×D4—1424no—
468C4×D4—1424no—
469C4×D4—1424no—
470C4×D4—1424no—
471C4×D4—1424no—
472#117—714no—
473#117—714no—
474#117—1422no—
475#117—1422no—
476C2×C4⋊C4—712no—
477C2×C4⋊C4—712no—
478C2×C4⋊C4—1422no—
479C2×C4⋊C4—1422no—
480C2×C22⋊C4—1422no—
481C2×C22⋊C4—1422no—
482C2×C22⋊C4—1422no—
483C2×C22⋊C4—1422no—
484C2×C22⋊C4—1422no—
485C2×C42—1422no—
486#107—714no—
487#107—714no—
488#106—718no—
489#103—718no—
490#103—718no—
491#102—718no—
492#102—718no—
493C22⋊C8C22×D7114yes—
494C22⋊C8C22×D7114yes—
495C22⋊C8C22×D7118yes—
496C24—24no—
497C24—42no—
498C24—42no—
499C24—1422no—
500C24C2×D28411yescharacteristic
501C24C2×D28412yes—
502C24C2×D28412yes—
503C24C2×D28411yescharacteristic
504C24C2×D28411yescharacteristic
505#41—2848no—
506#41—2848no—
507#41—2848no—
508#41—14216no—
509C2×Q8—2844no—
510C2×Q8—714no—
511C2×Q8—1422no—
512C2×D4—2844no—
513C2×D4—2848no—
514C2×D4—2848no—
515C2×D4—2848no—
516C2×D4—714no—
517C2×D4—1424no—
518C2×D4—1424no—
519C2×D4—1424no—
520C2×D4—1424no—
521C2×D4—1424no—
522C2×D4—1424no—
523C2×D4—1422no—
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—2848no—
535C22×C4—1422no—
536C22×C4—1422no—
537C22×C4—1422no—
538C22×C4—1424no—
539C22×C4—1424no—
540C22×C4C2×D28412yes—
541C22×C4C2×D28411yescharacteristic
542C22×C4C2×D28412yes—
543C22×C4C2×D28412yes—
544C22×C4C2×D28411yescharacteristic
545C22×C4C2×D28411yescharacteristic
546C22×C4C2×D28412yes—
547C22×C4C2×D28412yes—
548C22×C4C2×D28411yescharacteristic
549C22×C4C2×D28412yes—
550C22×C4C2×D28412yes—
551C22×C4C2×D28411yescharacteristic
552C22×C4C2×D28412yes—
553C22×C4C23×D7112yes—
554C22×C4C23×D7112yes—
555C22×C4C23×D7111yescharacteristic
556C22×C4C23×D7111yescharacteristic
557C22×C4C23×D7111yescharacteristic
558Q16—2844no—
559SD16—2848no—
560D8—2844no—
561C2×C8—28no—
562C2×C8—42no—
563C2×C8—44no—
564C2×C8—42no—
565C2×C8C23×D7114yes—
566C2×C8C23×D7114yes—
567C4⋊C4—714no—
568C4⋊C4—714no—
569C4⋊C4—1424no—
570C4⋊C4—1424no—
571C4⋊C4—1424no—
572C4⋊C4—1424no—
573C4⋊C4—1422no—
574C4⋊C4—1422no—
575C22⋊C4—1424no—
576C22⋊C4—1424no—
577C22⋊C4—1424no—
578C22⋊C4—1424no—
579C22⋊C4—1424no—
580C22⋊C4—1424no—
581C22⋊C4—1424no—
582C22⋊C4—1424no—
583C22⋊C4—1424no—
584C22⋊C4—1424no—
585C42—1424no—
586C42—1424no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—22no—
594C23—24no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—416no—
602C23—2844no—
603C23—2844no—
604C23—2844no—
605C23—1424no—
606C23#1455615014yescomplemented
607C23C22×D28412yes—
608C23C22×D28411yescharacteristic
609C23C22×D28411yescharacteristic
610C23C22×D28412yes—
611C23C22×D28411yescharacteristic
612Q8—2844no—
613Q8—1428no—
614D4—2844no—
615D4—2848no—
616D4—2848no—
617D4—2848no—
618D4—2848no—
619D4—2848no—
620D4—2848no—
621D4—1428no—
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—2848no—
640C2×C4—2844no—
641C2×C4—2844no—
642C2×C4—2844no—
643C2×C4—2848no—
644C2×C4—1424no—
645C2×C4—1424no—
646C2×C4—1424no—
647C2×C4C22×D28412yes—
648C2×C4C22×D28411yescharacteristic
649C2×C4C22×D28411yescharacteristic
650C2×C4C22×D28412yes—
651C2×C4C22×D28411yescharacteristic
652C2×C4#1455617314yes—
653C2×C4C24×D7111yescharacteristic
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—2844no—
673C22—2844no—
674C22—2844no—
675C22—5688no—
676C22#1798656112yes—
677C22C2×#1455615014yes—
678C22C2×#1455615012yes—
679C22#1798679912yes—
680C22C23×D28411yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—2844no—
686C4—2844no—
687C4—2844no—
688C4#1798656112yes—
689C4C2×#1455617312yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—5684no—
696C2C2×#1798656111yescharacteristic
697C2C22×#1455615011yescharacteristic
698C2C2×#1798679911yescharacteristic
subgroupG/H
centerC2×C4C22×D284
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC22×C22⋊C8×C71C2
socleC22×C71C23×D4
hypercenterC22×C22⋊C8D71
hypocenterC71#60734
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#17986510C2semidirect
2. #22599133C2semidirect
3. #22599123C2semidirect
4. #22599115C2semidirect
5. #22599107C2semidirect
6. #22599098C2semidirect
7. #22599091C2semidirect
8. #22598255C2semidirect
9. #22597921C2semidirect
10. #22597562C2semidirect
11. C22×C22⋊C8×C71C2semidirect
12. C22×#11765865C22semidirect
13. C2×#14556150C22semidirect
20. #17986510C22semidirect
21. #17986510C22semidirect
24. C2×#14556107C22semidirect
26. C2×#14556102C22semidirect
30. C2×#14556087C22semidirect
31. #17986341C22semidirect
32. #17986335C22semidirect
33. #17986330C22semidirect
34. #17986324C22semidirect
35. #17986318C22semidirect
36. #17986313C22semidirect
37. #17986240C22semidirect
38. #17986240C22semidirect
39. #17986235C22semidirect
40. #17986235C22semidirect
41. #17986228C22semidirect
42. #17986228C22semidirect
43. #17986163C22semidirect
44. #17986157C22semidirect
45. #17986152C22semidirect
46. #17986146C22semidirect
47. #17986140C22semidirect
48. #17986135C22semidirect
49. #17986037C22semidirect
50. #17985996C22semidirect
52. C23×C8×C71C22semidirect
55. C2×C22⋊C8×C71C22semidirect
56. C2×C22⋊C8×C71C22semidirect
57. C2×C22⋊C8×C71C22semidirect
70. C2×Dic284C23semidirect
71. C2×#11765854C23semidirect
72. C2×D568C23semidirect
119. #14556062C23semidirect
120. #14556062C23semidirect
121. #14556060C23semidirect
122. #14556053C23semidirect
123. #14556053C23semidirect
124. #14556050C23semidirect
125. #14556050C23semidirect
252. C23×C71#135semidirect
360. C22×C22⋊C8D71semidirect
361. C71#60734semidirect
365. C23×C8C2×D71semidirect
405. C2×C22⋊C8C2×D71semidirect
406. C2×C22⋊C8C2×D71semidirect
407. C2×C22⋊C8C2×D71semidirect
606. C23#14556150semidirect

Maximal subgroups

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

subgroupindex
C2×#179865102
#225991332
#225991232
#225991152
#225991072
#225990982
#225990912
#225982552
#225979212
#225975622
C22×C22⋊C8×C712
#6073471