Finite Group Databasebeta

← #32004845

Subgroups — #32004845

Order 18176.

768 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22598249C211yesmaximal, characteristic
2#22596758C211yesmaximal, characteristic, complemented
3#22588985C211yesmaximal, characteristic, complemented
4#22588985C211yesmaximal, characteristic, complemented
5#22588936C211yesmaximal, characteristic, complemented
6#22588936C211yesmaximal, characteristic, complemented
7#22588643C211yesmaximal, characteristic
8#22588544C211yesmaximal, characteristic, complemented
9#22588437C211yesmaximal, characteristic, complemented
10#22588225C211yesmaximal, characteristic, complemented
11#22588220C211yesmaximal, characteristic, complemented
12#22588182C211yesmaximal, characteristic, complemented
13#22588175C211yesmaximal, characteristic, complemented
14#22588121C211yesmaximal, characteristic, complemented
15C71×#2930C211yesmaximal, characteristic
16C22×#11765849C2211yescharacteristic
17C2×#14556087C2211yescharacteristic
18#17986337C411yescharacteristic, complemented
19#17986337C411yescharacteristic, complemented
20#17986332C411yescharacteristic, complemented
21#17986327C411yescharacteristic, complemented
22#17986320C411yescharacteristic, complemented
23#17986320C411yescharacteristic, complemented
24#17986315C411yescharacteristic, complemented
25#17986310C411yescharacteristic, complemented
26C2×#14556063C2211yescharacteristic
27C2×#14556063C2211yescharacteristic
28#17986035C2211yescharacteristic
29#17986035C2211yescharacteristic
30C2×#14556055C2211yescharacteristic
31C2×#14556055C2211yescharacteristic
32#17985995C2211yescharacteristic
33#17985995C2211yescharacteristic
34C2×C22⋊(C71⋊C8)C2211yescharacteristic
35#17985957—21no—
36#17985957—21no—
37#17985954C2211yescharacteristic
38#17985954C2211yescharacteristic
39#17985954C2211yescharacteristic
40#17985954C2211yescharacteristic
41M16×Dic71—21no—
42M16×Dic71—21no—
43C2×#14556038C2211yescharacteristic
44C2×C8×Dic71C2211yescharacteristic
45C4×C22⋊Dic71C2211yescharacteristic
46#17985763C2211yescharacteristic
47#17985763C2211yescharacteristic
48#17985760C2211yescharacteristic
49#17985760C2211yescharacteristic
50#17985760C2211yescharacteristic
51#17985760C2211yescharacteristic
52#17985758C2211yescharacteristic
53#17985758C2211yescharacteristic
54#17985753C2211yescharacteristic
55#17985753C2211yescharacteristic
56C2×#131×C71C2211yescharacteristic
57C22×M16×C71C2211yescharacteristic
58#525×C71C2211yescharacteristic
59#436×C71—21no—
60#436×C71—21no—
61#435×C71—21no—
62#435×C71—21no—
63#424×C71C2211yescharacteristic
64#408×C71C2211yescharacteristic
65#407×C71C2211yescharacteristic
66#405×C71C2211yescharacteristic
67C2×#11765849—22no—
68C2×#11765849—22no—
69C2×#11765849—21no—
70C2×#11765849C2311yescharacteristic
71C2×#11765849C2311yescharacteristic
72C22×C71⋊C8—21no—
73C22×C71⋊C8C2311yescharacteristic
74C22×C71⋊C8C2311yescharacteristic
75#14556087—21no—
76#14556087—21no—
77#14556087C2×C411yescharacteristic
78#14556087C2×C411yescharacteristic
79#14556087C2311yescharacteristic
80#14556087C2311yescharacteristic
81C2×C4⋊Dic71C2×C411yescharacteristic
82C2×C4⋊Dic71C2×C411yescharacteristic
83C2×C22⋊Dic71—21no—
84C2×C22⋊Dic71—21no—
85C2×C4×Dic71—21no—
86C2×C4×Dic71C2311yescharacteristic
87C2×C4×Dic71C2311yescharacteristic
88#14556063—22no—
89#14556063—22no—
90#14556061C2×C411yescharacteristic
91#14556061C2×C411yescharacteristic
92#14556061C2×C411yescharacteristic
93#14556061C2×C411yescharacteristic
94#14556059C2×C411yescharacteristic
95#14556059C2×C411yescharacteristic
96#14556059C2×C411yescharacteristic
97#14556059C2×C411yescharacteristic
98#14556055—22no—
99#14556055—22no—
100#14556052C2×C411yescharacteristic
101#14556052C2×C411yescharacteristic
102#14556052C2×C411yescharacteristic
103#14556052C2×C411yescharacteristic
104#14556049C2×C411yescharacteristic
105#14556049C2×C411yescharacteristic
106#14556049C2×C411yescharacteristic
107#14556049C2×C411yescharacteristic
108C22⋊(C71⋊C8)C2×C411yescharacteristic
109C22⋊(C71⋊C8)C2×C411yescharacteristic
110C22⋊(C71⋊C8)C2×C411yescharacteristic
111C22⋊(C71⋊C8)C2×C411yescharacteristic
112#14556038—21no—
113#14556038—21no—
114#14556038—21no—
115#14556038—21no—
116#14556038—22no—
117C8×Dic71—21no—
118C8×Dic71—21no—
119C8×Dic71—21no—
120C8×Dic71—21no—
121C8×Dic71—22no—
122C71⋊#95—21no—
123C2×#41×C71C2311yescharacteristic
124C23×C4×C71C2311yescharacteristic
125#131×C71—22no—
126#131×C71—22no—
127C2×M16×C71—21no—
128C2×M16×C71—22no—
129C2×M16×C71—22no—
130C2×M16×C71D411yescharacteristic
131C2×M16×C71D411yescharacteristic
132C2×M16×C71D411yescharacteristic
133C2×M16×C71D411yescharacteristic
134C2×M16×C71C2311yescharacteristic
135C2×M16×C71C2311yescharacteristic
136C22×C8×C71—21no—
137C22×C8×C71C2311yescharacteristic
138C22×C8×C71C2311yescharacteristic
139#123×C71—21no—
140C22⋊Q8×C71C2×C411yescharacteristic
141C22⋊Q8×C71C2×C411yescharacteristic
142#121×C71C2×C411yescharacteristic
143#121×C71C2×C411yescharacteristic
144#120×C71—21no—
145C4×D4×C71—21no—
146C4×D4×C71—21no—
147#117×C71C2311yescharacteristic
148C4⋊C8×C71—21no—
149C4⋊C8×C71—21no—
150C22⋊C8×C71—21no—
151C22⋊C8×C71—21no—
152C22⋊C8×C71—21no—
153C22⋊C8×C71—21no—
154#97×C71—21no—
155C4×C8×C71—21no—
156C22×Dic71—21no—
157C22×Dic71—21no—
158C22×Dic71—21no—
159C22×Dic71—21no—
160#11765849—24no—
161#11765849—21no—
162#11765849—21no—
163#11765849#4112yes—
164#11765849#4112yes—
165C2×C71⋊C8—24no—
166C2×C71⋊C8—21no—
167C2×C71⋊C8—21no—
168C2×C71⋊C8—21no—
169C2×C71⋊C8—21no—
170C2×C71⋊C8—21no—
171C2×C71⋊C8—21no—
172C2×C71⋊C8C22×C411yescharacteristic
173C2×C71⋊C8C22×C411yescharacteristic
174C2×C71⋊C8C22×C411yescharacteristic
175C2×C71⋊C8C22×C411yescharacteristic
176C4⋊Dic71—21no—
177C4⋊Dic71—21no—
178C4⋊Dic71C22×C411yescharacteristic
179C4⋊Dic71C22×C411yescharacteristic
180C4⋊Dic71C22×C411yescharacteristic
181C4⋊Dic71C22×C411yescharacteristic
182C22⋊Dic71—21no—
183C22⋊Dic71—21no—
184C22⋊Dic71—21no—
185C22⋊Dic71—21no—
186C22⋊Dic71—42no—
187C4×Dic71—21no—
188C4×Dic71—21no—
189C4×Dic71—21no—
190C4×Dic71—21no—
191C4×Dic71—21no—
192C4×Dic71—21no—
193C4×Dic71—21no—
194C4×Dic71—21no—
195C24×C71#4111yescharacteristic
196#41×C71—21no—
197#41×C71—21no—
198#41×C71—21no—
199#41×C71—21no—
200C2×Q8×C71C22×C411yescharacteristic
201C2×D4×C71—21no—
202C2×D4×C71—21no—
203C2×D4×C71—21no—
204C2×D4×C71C22×C411yescharacteristic
205C22×C4×C71—21no—
206C22×C4×C71—21no—
207C22×C4×C71—21no—
208C22×C4×C71—21no—
209C22×C4×C71—21no—
210C22×C4×C71C22×C411yescharacteristic
211C22×C4×C71C22×C411yescharacteristic
212C22×C4×C71C2×D411yescharacteristic
213C22×C4×C71C2×D411yescharacteristic
214C22×C4×C71#4111yescharacteristic
215C22×C4×C71C2411yescharacteristic
216M16×C71—22no—
217M16×C71—22no—
218M16×C71—22no—
219M16×C71—22no—
220M16×C71—21no—
221M16×C71—21no—
222M16×C71—21no—
223M16×C71—21no—
224M16×C71—42no—
225C2×C8×C71—21no—
226C2×C8×C71—21no—
227C2×C8×C71—21no—
228C2×C8×C71—21no—
229C2×C8×C71—42no—
230C2×C8×C71C2×D411yescharacteristic
231C2×C8×C71C2×D411yescharacteristic
232C2×C8×C71C2×D411yescharacteristic
233C2×C8×C71C2×D411yescharacteristic
234C2×C8×C71#4112yes—
235C2×C8×C71#4112yes—
236C4⋊C4×C71—21no—
237C4⋊C4×C71—21no—
238C4⋊C4×C71C22×C411yescharacteristic
239C4⋊C4×C71C22×C411yescharacteristic
240C22⋊C4×C71—21no—
241C22⋊C4×C71—21no—
242C22⋊C4×C71—21no—
243C22⋊C4×C71—21no—
244C22⋊C4×C71—21no—
245C42×C71—21no—
246C23×C71—21no—
247C23×C71—21no—
248C23×C71—21no—
249C23×C71—41no—
250C23×C71—41no—
251C23×C71C4×D411yescharacteristic
252C23×C71C4×D411yescharacteristic
253C23×C71C2×#4111yescharacteristic
254Q8×C71—21no—
255Q8×C71—21no—
256D4×C71—21no—
257D4×C71—21no—
258D4×C71—41no—
259D4×C71—41no—
260D4×C71—81no—
261D4×C71—81no—
262C2×C4×C71—21no—
263C2×C4×C71—21no—
264C2×C4×C71—21no—
265C2×C4×C71—21no—
266C2×C4×C71—21no—
267C2×C4×C71—21no—
268C2×C4×C71—21no—
269C2×C4×C71—21no—
270C2×C4×C71—21no—
271C2×C4×C71—21no—
272C2×C4×C71—21no—
273C2×C4×C71—21no—
274C2×C4×C71—21no—
275C2×C4×C71—41no—
276C2×C4×C71—41no—
277C2×C4×C71C4×D411yescharacteristic
278C2×C4×C71C4×D411yescharacteristic
279C2×C4×C71C23×C411yescharacteristic
280C2×C4×C71C22×D411yescharacteristic
281C2×C4×C71C2×#4111yescharacteristic
282C2×C4×C71C2×#4111yescharacteristic
283C2×C4×C71C2×#4111yescharacteristic
284C2×C4×C71C2×#4111yescharacteristic
285C2×Dic71—22no—
286C2×Dic71—21no—
287C2×Dic71—21no—
288C2×Dic71—21no—
289C2×Dic71—21no—
290C2×Dic71—41no—
291C2×Dic71—41no—
292C2×Dic71—41no—
293C2×Dic71—41no—
294C2×Dic71—41no—
295C2×Dic71—81no—
296C2×Dic71—81no—
297C8×C71—21no—
298C8×C71—21no—
299C8×C71—41no—
300C8×C71—41no—
301C8×C71#12312yes—
302C8×C71#12312yes—
303C71⋊C8—21no—
304C71⋊C8—21no—
305C71⋊C8—21no—
306C71⋊C8—21no—
307C71⋊C8—22no—
308C71⋊C8—22no—
309C22×C71—21no—
310C22×C71—21no—
311C22×C71—21no—
312C22×C71—21no—
313C22×C71—21no—
314C22×C71—21no—
315C22×C71—21no—
316C22×C71—21no—
317C22×C71—41no—
318C22×C71—41no—
319C22×C71—41no—
320C22×C71—81no—
321C22×C71—81no—
322C22×C71C2×C4×D411yescharacteristic
323C22×C71#52911yescharacteristic
324C22×C71#52911yescharacteristic
325C4×C71—21no—
326C4×C71—21no—
327C4×C71—41no—
328C4×C71—41no—
329C4×C71—41no—
330C4×C71C4×#4111yescharacteristic
331C4×C71C4×#4111yescharacteristic
332C4×C71C2×#12311yescharacteristic
333C4×C71#52511yescharacteristic
334Dic71—42no—
335Dic71—41no—
336Dic71—41no—
337Dic71—41no—
338Dic71—41no—
339Dic71—81no—
340#21594—711nomaximal, Sylow
341C2×C71—21no—
342C2×C71—21no—
343C2×C71—41no—
344C2×C71—41no—
345C2×C71—81no—
346C2×C71C4×#12311yescharacteristic
347C2×C71#295611yescharacteristic
348C2×C71#295711yescharacteristic
349#3091—711no—
350#2930D7111yescharacteristic
351#2873—711no—
352#1929—711no—
353#1929—711no—
354#1922—711no—
355#1922—711no—
356#1871—711no—
357#1855—711no—
358#1826—711no—
359#1773—711no—
360#1772—711no—
361#1765—711no—
362#1764—711no—
363#1753—711no—
364C71#2159411yescharacteristic, complemented, Sylow
365C2×#131C2×D7111yescharacteristic
366C22×M16—711no—
367C22×M16C2×D7111yescharacteristic
368#525C2×D7111yescharacteristic
369C2×#117—711no—
370#485—711no—
371#485—711no—
372#484—711no—
373#483—711no—
374#482—711no—
375#482—711no—
376#481—711no—
377#480—711no—
378#436—21no—
379#436—21no—
380#435—21no—
381#435—21no—
382C2×#108—711no—
383C2×#108—711no—
384#427—711no—
385#427—711no—
386#424C2×D7111yescharacteristic
387C2×#104—711no—
388C2×#104—711no—
389#416—711no—
390#416—711no—
391#408C2×D7111yescharacteristic
392#407C2×D7111yescharacteristic
393C2×C22⋊C8—711no—
394#405—711no—
395#405—711no—
396#405—711no—
397#405—711no—
398#405—1421no—
399#405—1421no—
400#405C2×D7111yescharacteristic
401C4×M16—1421no—
402C4×M16—1421no—
403C2×#97—711no—
404C2×C4×C8—711no—
405C4×C22⋊C4—711no—
406#341—711no—
407#341—711no—
408#339—711no—
409#339—711no—
410#339—711no—
411#339—711no—
412#339—711no—
413#339—711no—
414#336—711no—
415#336—711no—
416C2×#41C22×D7111yescharacteristic
417C23×C4C22×D7111yescharacteristic
418#131—22no—
419#131—22no—
420C2×M16—21no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—711no—
424C2×M16—711no—
425C2×M16—1422no—
426C2×M16—1422no—
427C2×M16—1421no—
428C2×M16C22⋊D7111yescharacteristic
429C2×M16C22⋊D7111yescharacteristic
430C2×M16C22⋊D7111yescharacteristic
431C2×M16C22⋊D7111yescharacteristic
432C2×M16C22×D7111yescharacteristic
433C2×M16C22×D7111yescharacteristic
434C22×C8—21no—
435C22×C8—711no—
436C22×C8—711no—
437C22×C8—1421no—
438C22×C8C22×D7111yescharacteristic
439C22×C8C22×D7111yescharacteristic
440#123—21no—
441C22⋊Q8C4×D7111yescharacteristic
442C22⋊Q8C4×D7111yescharacteristic
443#121C4×D7111yescharacteristic
444#121C4×D7111yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—711no—
449#117—711no—
450#117—711no—
451#117—711no—
452#117—1421no—
453#117—1421no—
454#117C22×D7111yescharacteristic
455C2×C4⋊C4—711no—
456C2×C4⋊C4—711no—
457C2×C22⋊C4—1421no—
458C2×C22⋊C4—1421no—
459C2×C42—711no—
460C2×C42—711no—
461C2×C42—1421no—
462#108—1422no—
463#108—1422no—
464#107—711no—
465#107—711no—
466#107—711no—
467#107—711no—
468#106—711no—
469#106—711no—
470#106—711no—
471#106—711no—
472C4⋊C8—21no—
473C4⋊C8—21no—
474#104—1422no—
475#104—1422no—
476#103—711no—
477#103—711no—
478#103—711no—
479#103—711no—
480#102—711no—
481#102—711no—
482#102—711no—
483#102—711no—
484C22⋊C8—21no—
485C22⋊C8—21no—
486C22⋊C8—21no—
487C22⋊C8—21no—
488C22⋊C8—711no—
489C22⋊C8—711no—
490C22⋊C8—711no—
491C22⋊C8—711no—
492#97—21no—
493#97—1421no—
494#97—1421no—
495#97—1421no—
496#97—1421no—
497#97—1422no—
498C4×C8—21no—
499C4×C8—1421no—
500C4×C8—1421no—
501C4×C8—1421no—
502C4×C8—1421no—
503C4×C8—1422no—
504#95—1421no—
505C24#1176586511yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C2×C4×D7111yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C2×C4×D7111yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—1421no—
521C22×C4—1421no—
522C22×C4—1421no—
523C22×C4—1421no—
524C22×C4C2×C4×D7111yescharacteristic
525C22×C4C2×C4×D7111yescharacteristic
526C22×C4C2×C22⋊D7111yescharacteristic
527C22×C4C2×C22⋊D7111yescharacteristic
528C22×C4#1176586511yescharacteristic
529C22×C4C23×D7111yescharacteristic
530M16—22no—
531M16—22no—
532M16—22no—
533M16—22no—
534M16—21no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—42no—
539M16—712no—
540M16—712no—
541M16—1424no—
542M16—1421no—
543M16—1421no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—42no—
549C2×C8—711no—
550C2×C8—711no—
551C2×C8—711no—
552C2×C8—711no—
553C2×C8—1424no—
554C2×C8—1421no—
555C2×C8—1421no—
556C2×C8—1421no—
557C2×C8—1421no—
558C2×C8—1421no—
559C2×C8—1421no—
560C2×C8C2×C22⋊D7111yescharacteristic
561C2×C8C2×C22⋊D7111yescharacteristic
562C2×C8C2×C22⋊D7111yescharacteristic
563C2×C8C2×C22⋊D7111yescharacteristic
564C2×C8#1176586412yes—
565C2×C8#1176586412yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—711no—
569C4⋊C4—711no—
570C4⋊C4—711no—
571C4⋊C4—711no—
572C4⋊C4—1421no—
573C4⋊C4—1421no—
574C4⋊C4C2×C4×D7111yescharacteristic
575C4⋊C4C2×C4×D7111yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—2842no—
582C22⋊C4—1421no—
583C22⋊C4—1421no—
584C22⋊C4—1421no—
585C22⋊C4—1421no—
586C42—21no—
587C42—1421no—
588C42—1421no—
589C42—1421no—
590C42—1421no—
591C42—1421no—
592C42—1421no—
593C42—1421no—
594C42—1421no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23C4×C22⋊D7111yescharacteristic
601C23C4×C22⋊D7111yescharacteristic
602C23C2×#1176586511yescharacteristic
603Q8—21no—
604Q8—21no—
605D4—21no—
606D4—21no—
607D4—41no—
608D4—41no—
609D4—81no—
610D4—81no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—2841no—
627C2×C4—2841no—
628C2×C4—2841no—
629C2×C4—2841no—
630C2×C4—2841no—
631C2×C4—5681no—
632C2×C4—5681no—
633C2×C4—1422no—
634C2×C4—1421no—
635C2×C4—1421no—
636C2×C4—1421no—
637C2×C4—1421no—
638C2×C4C4×C22⋊D7111yescharacteristic
639C2×C4C4×C22⋊D7111yescharacteristic
640C2×C4C22×C4×D7111yescharacteristic
641C2×C4C22×C22⋊D7111yescharacteristic
642C2×C4#41×D7111yescharacteristic
643C2×C4#41×D7111yescharacteristic
644C2×C4C2×#1176586411yescharacteristic
645C2×C4C2×#1176586411yescharacteristic
646C8—21no—
647C8—21no—
648C8—41no—
649C8—41no—
650C8—1421no—
651C8—1421no—
652C8—1421no—
653C8—1421no—
654C8—1422no—
655C8—1422no—
656C8#1455610912yes—
657C8#1455610912yes—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22C2×C4×C22⋊D7111yescharacteristic
672C22#1798652911yescharacteristic
673C22#1798652911yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—2842no—
680C4—2841no—
681C4—2841no—
682C4—2841no—
683C4—2841no—
684C4—5681no—
685C4C4×#1176586411yescharacteristic
686C4C4×#1176586411yescharacteristic
687C4C2×#1455610911yescharacteristic
688C4#1798650611yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2C4×#1455610911yescharacteristic
695C2#2259724711yescharacteristic
696C2#2259725511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#2930C2
socleC22×C71C2×C4×D4
prime radical#525×C71C22
cosocleC22×C4×C71C24
hypercenter#2930D71
hypocenterC71#21594
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C22×M16 ◁ #2930

Complements

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

NH ≅ G/Ntype
2. #22596758C2semidirect
3. #22588985C2semidirect
4. #22588985C2semidirect
5. #22588936C2semidirect
6. #22588936C2semidirect
8. #22588544C2semidirect
9. #22588437C2semidirect
10. #22588225C2semidirect
11. #22588220C2semidirect
12. #22588182C2semidirect
13. #22588175C2semidirect
14. #22588121C2semidirect
18. #17986337C4semidirect
19. #17986337C4semidirect
20. #17986332C4semidirect
21. #17986327C4semidirect
22. #17986320C4semidirect
23. #17986320C4semidirect
24. #17986315C4semidirect
25. #17986310C4semidirect
364. C71#21594semidirect

Maximal subgroups

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

subgroupindex
#225982492
#225967582
#225889852
#225889362
#225886432
#225885442
#225884372
#225882252
#225882202
#225881822
#225881752
#225881212
C71×#29302
#2159471