Finite Group Databasebeta

← #32004851

Subgroups — #32004851

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#22598253C211yesmaximal, characteristic
2#22597043C211yesmaximal, characteristic
3#22588988C211yesmaximal, characteristic, complemented
4#22588988C211yesmaximal, characteristic, complemented
5#22588939C211yesmaximal, characteristic, complemented
6#22588939C211yesmaximal, characteristic, complemented
7#22588642C211yesmaximal, characteristic
8#22588545C211yesmaximal, characteristic, complemented
9#22588439C211yesmaximal, characteristic, complemented
10#22588225C211yesmaximal, characteristic, complemented
11#22588220C211yesmaximal, characteristic, complemented
12#22588186C211yesmaximal, characteristic, complemented
13#22588179C211yesmaximal, characteristic, complemented
14#22588121C211yesmaximal, characteristic, complemented
15C71×#2873C211yesmaximal, characteristic, complemented
16C2×#14556134C2211yescharacteristic
17#17986510C2211yescharacteristic
18#17986340C411yescharacteristic, complemented
19#17986340C411yescharacteristic, complemented
20#17986334C411yescharacteristic, complemented
21#17986329C411yescharacteristic, complemented
22#17986323C411yescharacteristic, complemented
23#17986323C411yescharacteristic, complemented
24#17986317C411yescharacteristic, complemented
25#17986312C411yescharacteristic, complemented
26#17986075—21no—
27#17986075—21no—
28#17986068—21no—
29#17986068—21no—
30C2×#14556063C2211yescharacteristic
31C2×#14556063C2211yescharacteristic
32#17986035C2211yescharacteristic
33#17986035C2211yescharacteristic
34#17986025C2211yescharacteristic
35C2×#14556054C2211yescharacteristic
36C2×#14556054C2211yescharacteristic
37#17985993C2211yescharacteristic
38#17985993C2211yescharacteristic
39#17985965C2211yescharacteristic
40#17985963C2211yescharacteristic
41C2×C22⋊(C71⋊C8)C2211yescharacteristic
42#17985954C2211yescharacteristic
43C2×#14556038C2211yescharacteristic
44C2×C8×Dic71C2211yescharacteristic
45C4×C22⋊Dic71C2211yescharacteristic
46#17985763C2211yescharacteristic
47#17985763C2211yescharacteristic
48#17985760C2211yescharacteristic
49#17985760C2211yescharacteristic
50#17985758C2211yescharacteristic
51#17985758C2211yescharacteristic
52#17985758C2211yescharacteristic
53#17985758C2211yescharacteristic
54#17985753C2211yescharacteristic
55#17985753C2211yescharacteristic
56C22×M16×C71C2211yescharacteristic
57C22×M16×C71C2211yescharacteristic
58C2×#117×C71C2211yescharacteristic
59#405×C71—21no—
60#405×C71—21no—
61#405×C71C2211yescharacteristic
62#405×C71C2211yescharacteristic
63#405×C71C2211yescharacteristic
64#405×C71C2211yescharacteristic
65C4×M16×C71—21no—
66C4×M16×C71—21no—
67C2×#11765865C2311yescharacteristic
68#14556134—22no—
69#14556134—22no—
70C2×#11765849C2311yescharacteristic
71C2×#11765849C2311yescharacteristic
72C2×#11765848—21no—
73C22×C71⋊C8C2311yescharacteristic
74C22×C71⋊C8C2311yescharacteristic
75C2×C8×D71—21no—
76#14556111—21no—
77#14556107C2×C411yescharacteristic
78#14556107C2×C411yescharacteristic
79#14556102C2×C411yescharacteristic
80#14556102C2×C411yescharacteristic
81#14556097—21no—
82C4×C22⋊D71—21no—
83C4×C22⋊D71—21no—
84#14556087C2311yescharacteristic
85C2×C22⋊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
98Dic71⋊C8—21no—
99Dic71⋊C8—21no—
100#14556054—22no—
101#14556054—22no—
102#14556051C2×C411yescharacteristic
103#14556051C2×C411yescharacteristic
104#14556051C2×C411yescharacteristic
105#14556051C2×C411yescharacteristic
106#14556048C2×C411yescharacteristic
107#14556048C2×C411yescharacteristic
108#14556048C2×C411yescharacteristic
109#14556048C2×C411yescharacteristic
110C22⋊(C71⋊C8)—21no—
111C22⋊(C71⋊C8)—21no—
112C22⋊(C71⋊C8)C2×C411yescharacteristic
113C22⋊(C71⋊C8)C2×C411yescharacteristic
114C22⋊(C71⋊C8)C2×C411yescharacteristic
115C22⋊(C71⋊C8)C2×C411yescharacteristic
116(C2×D71)⋊C8—21no—
117(C2×D71)⋊C8—21no—
118#14556038—21no—
119#14556038—22no—
120C8×Dic71—21no—
121C8×Dic71—22no—
122C71⋊#95—21no—
123C23×C4×C71C2311yescharacteristic
124C2×M16×C71—21no—
125C2×M16×C71—22no—
126C2×M16×C71—22no—
127C2×M16×C71—22no—
128C2×M16×C71—22no—
129C2×M16×C71D411yescharacteristic
130C2×M16×C71D411yescharacteristic
131C2×M16×C71D411yescharacteristic
132C2×M16×C71D411yescharacteristic
133C2×M16×C71C2311yescharacteristic
134C2×M16×C71C2311yescharacteristic
135C22×C8×C71—21no—
136C22×C8×C71C2311yescharacteristic
137C22×C8×C71C2311yescharacteristic
138#117×C71—21no—
139#117×C71—21no—
140#117×C71C2×C411yescharacteristic
141#117×C71C2×C411yescharacteristic
142#117×C71C2311yescharacteristic
143#117×C71C2311yescharacteristic
144C2×C4⋊C4×C71C2×C411yescharacteristic
145C2×C4⋊C4×C71C2×C411yescharacteristic
146C2×C22⋊C4×C71—21no—
147C2×C42×C71—21no—
148#97×C71—21no—
149#97×C71—21no—
150#97×C71—21no—
151#97×C71—21no—
152C4×C8×C71—21no—
153C4×C8×C71—21no—
154C4×C8×C71—21no—
155C4×C8×C71—21no—
156#11765865—21no—
157#11765865—21no—
158#11765865—21no—
159#11765865—21no—
160C2×Dic142C22×C411yescharacteristic
161C2×D284C22×C411yescharacteristic
162C2×C22⋊D71—21no—
163C2×C22⋊D71—21no—
164C2×C22⋊D71—21no—
165C22×Dic71—21no—
166C22×Dic71—21no—
167C2×C4×D71—21no—
168#11765849—21no—
169#11765849—21no—
170#11765849—21no—
171#11765849—21no—
172#11765848—42no—
173C2×C71⋊C8—21no—
174C2×C71⋊C8—21no—
175C2×C71⋊C8—21no—
176C2×C71⋊C8—21no—
177C2×C71⋊C8—21no—
178C2×C71⋊C8—21no—
179C2×C71⋊C8C22×C411yescharacteristic
180C2×C71⋊C8C22×C411yescharacteristic
181C2×C71⋊C8C22×C411yescharacteristic
182C2×C71⋊C8C22×C411yescharacteristic
183C8×D71—42no—
184C4⋊Dic71C22×C411yescharacteristic
185C4⋊Dic71C22×C411yescharacteristic
186Dic71⋊C4—21no—
187Dic71⋊C4—21no—
188C22⋊Dic71—21no—
189C22⋊Dic71—21no—
190C22⋊Dic71—21no—
191C22⋊Dic71—42no—
192(C2×D71)⋊C4—21no—
193(C2×D71)⋊C4—21no—
194C4×Dic71—21no—
195C4×Dic71—21no—
196C4×Dic71—21no—
197C4×Dic71—21no—
198C4×Dic71—21no—
199C24×C71#4111yescharacteristic
200C22×C4×C71—21no—
201C22×C4×C71—21no—
202C22×C4×C71—21no—
203C22×C4×C71—21no—
204C22×C4×C71—21no—
205C22×C4×C71—21no—
206C22×C4×C71C22×C411yescharacteristic
207C22×C4×C71C22×C411yescharacteristic
208C22×C4×C71C2×D411yescharacteristic
209C22×C4×C71C2×D411yescharacteristic
210C22×C4×C71#4111yescharacteristic
211C22×C4×C71C2411yescharacteristic
212M16×C71—24no—
213M16×C71—21no—
214M16×C71—21no—
215M16×C71—22no—
216M16×C71—22no—
217M16×C71—22no—
218M16×C71—22no—
219M16×C71#4112yes—
220M16×C71#4112yes—
221C2×C8×C71—24no—
222C2×C8×C71—21no—
223C2×C8×C71—21no—
224C2×C8×C71—21no—
225C2×C8×C71—21no—
226C2×C8×C71C2×D411yescharacteristic
227C2×C8×C71C2×D411yescharacteristic
228C2×C8×C71C2×D411yescharacteristic
229C2×C8×C71C2×D411yescharacteristic
230C2×C8×C71#4112yes—
231C2×C8×C71#4112yes—
232C4⋊C4×C71—21no—
233C4⋊C4×C71—21no—
234C4⋊C4×C71C22×C411yescharacteristic
235C4⋊C4×C71C22×C411yescharacteristic
236C4⋊C4×C71C22×C411yescharacteristic
237C4⋊C4×C71C22×C411yescharacteristic
238C22⋊C4×C71—21no—
239C22⋊C4×C71—21no—
240C22⋊C4×C71—21no—
241C22⋊C4×C71—21no—
242C42×C71—21no—
243C42×C71—21no—
244C42×C71—21no—
245C42×C71—21no—
246C23×C71—21no—
247C23×C71—21no—
248C23×C71—41no—
249C23×C71—41no—
250C23×C71C4×D411yescharacteristic
251C23×C71C4×D411yescharacteristic
252C23×C71C2×#4111yescharacteristic
253C22×D71—21no—
254C2×C4×C71—21no—
255C2×C4×C71—21no—
256C2×C4×C71—21no—
257C2×C4×C71—21no—
258C2×C4×C71—21no—
259C2×C4×C71—21no—
260C2×C4×C71—21no—
261C2×C4×C71—21no—
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—81no—
269C2×C4×C71—81no—
270C2×C4×C71C4×D411yescharacteristic
271C2×C4×C71C4×D411yescharacteristic
272C2×C4×C71C23×C411yescharacteristic
273C2×C4×C71C22×D411yescharacteristic
274C2×C4×C71C2×#4111yescharacteristic
275C2×C4×C71C2×#4111yescharacteristic
276C2×C4×C71C2×#4111yescharacteristic
277C2×C4×C71C2×#4111yescharacteristic
278C22⋊D71—41no—
279C22⋊D71—41no—
280C22⋊D71—81no—
281C22⋊D71—81no—
282C2×Dic71—22no—
283C2×Dic71—21no—
284C2×Dic71—21no—
285C2×Dic71—21no—
286C2×Dic71—41no—
287C2×Dic71—41no—
288C2×Dic71—41no—
289C2×Dic71—41no—
290C2×Dic71—41no—
291D284—21no—
292D284—21no—
293C4×D71—41no—
294C4×D71—41no—
295Dic142—21no—
296Dic142—21no—
297C8×C71—21no—
298C8×C71—21no—
299C8×C71—22no—
300C8×C71—22no—
301C8×C71#12312yes—
302C8×C71#12312yes—
303C71⋊C8—21no—
304C71⋊C8—21no—
305C71⋊C8—21no—
306C71⋊C8—21no—
307C71⋊C8—41no—
308C71⋊C8—41no—
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—81no—
318C22×C71—81no—
319C22×C71C2×C4×D411yescharacteristic
320C22×C71#52911yescharacteristic
321C22×C71#52911yescharacteristic
322C2×D71—41no—
323C2×D71—41no—
324C2×D71—41no—
325C4×C71—21no—
326C4×C71—21no—
327C4×C71—41no—
328C4×C71—41no—
329C4×C71—41no—
330C4×C71—41no—
331C4×C71C4×#4111yescharacteristic
332C4×C71C4×#4111yescharacteristic
333C4×C71C2×#12311yescharacteristic
334C4×C71#52511yescharacteristic
335Dic71—42no—
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×C71C4×#12311yescharacteristic
346C2×C71#295611yescharacteristic
347C2×C71#295711yescharacteristic
348D71—81no—
349#3091—711no—
350#2930—711no—
351#2873D7111yescharacteristic, complemented
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×#131—711no—
366C22×M16C2×D7111yescharacteristic
367C22×M16C2×D7111yescharacteristic
368#525—711no—
369C2×#117C2×D7111yescharacteristic
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—1421no—
379#436—1421no—
380#435—1421no—
381#435—1421no—
382C2×#108—711no—
383C2×#108—711no—
384#427—711no—
385#427—711no—
386#424—711no—
387C2×#104—711no—
388C2×#104—711no—
389#416—711no—
390#416—711no—
391#408—711no—
392#407—711no—
393C2×C22⋊C8—711no—
394#405—21no—
395#405—21no—
396#405—711no—
397#405C2×D7111yescharacteristic
398#405C2×D7111yescharacteristic
399#405C2×D7111yescharacteristic
400#405C2×D7111yescharacteristic
401C4×M16—21no—
402C4×M16—21no—
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×#41—711no—
417C23×C4C22×D7111yescharacteristic
418#131—1422no—
419#131—1422no—
420C2×M16—21no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—711no—
426C2×M16—711no—
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—1421no—
441C22⋊Q8—711no—
442C22⋊Q8—711no—
443#121—711no—
444#121—711no—
445#120—1421no—
446C4×D4—1421no—
447C4×D4—1421no—
448#117—21no—
449#117—21no—
450#117—711no—
451#117C4×D7111yescharacteristic
452#117C4×D7111yescharacteristic
453#117C22×D7111yescharacteristic
454#117C22×D7111yescharacteristic
455C2×C4⋊C4C4×D7111yescharacteristic
456C2×C4⋊C4C4×D7111yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1421no—
459C2×C42—21no—
460C2×C42—711no—
461C2×C42—711no—
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—1421no—
473C4⋊C8—1421no—
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—711no—
485C22⋊C8—711no—
486C22⋊C8—711no—
487C22⋊C8—711no—
488C22⋊C8—1421no—
489C22⋊C8—1421no—
490C22⋊C8—1421no—
491C22⋊C8—1421no—
492#97—21no—
493#97—21no—
494#97—21no—
495#97—21no—
496#97—1421no—
497#97—1422no—
498C4×C8—21no—
499C4×C8—21no—
500C4×C8—21no—
501C4×C8—21no—
502C4×C8—1421no—
503C4×C8—1422no—
504#95—1421no—
505C24#1176586511yescharacteristic
506#41—1421no—
507#41—1421no—
508#41—1421no—
509#41—1421no—
510C2×Q8—711no—
511C2×D4—711no—
512C2×D4—1421no—
513C2×D4—1421no—
514C2×D4—1421no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
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—24no—
531M16—21no—
532M16—21no—
533M16—22no—
534M16—22no—
535M16—22no—
536M16—22no—
537M16—2842no—
538M16—1421no—
539M16—1421no—
540M16—1421no—
541M16—1421no—
542M16#1176586512yes—
543M16#1176586512yes—
544C2×C8—24no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—2842no—
550C2×C8—711no—
551C2×C8—711no—
552C2×C8—711no—
553C2×C8—711no—
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#1176586512yes—
565C2×C8#1176586512yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—711no—
569C4⋊C4—711no—
570C4⋊C4—1421no—
571C4⋊C4—1421no—
572C4⋊C4C2×C4×D7111yescharacteristic
573C4⋊C4C2×C4×D7111yescharacteristic
574C4⋊C4C2×C4×D7111yescharacteristic
575C4⋊C4C2×C4×D7111yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—2842no—
581C22⋊C4—1421no—
582C22⋊C4—1421no—
583C22⋊C4—1421no—
584C22⋊C4—1421no—
585C22⋊C4—1421no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—1421no—
591C42—1421no—
592C42—1421no—
593C42—1421no—
594C42—1421no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—41no—
599C23—1421no—
600C23C4×C22⋊D7111yescharacteristic
601C23C4×C22⋊D7111yescharacteristic
602C23C2×#1176586511yescharacteristic
603Q8—1421no—
604Q8—1421no—
605D4—2841no—
606D4—2841no—
607D4—5681no—
608D4—5681no—
609D4—1421no—
610D4—1421no—
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—21no—
625C2×C4—81no—
626C2×C4—81no—
627C2×C4—2841no—
628C2×C4—2841no—
629C2×C4—2841no—
630C2×C4—2841no—
631C2×C4—2841no—
632C2×C4—2841no—
633C2×C4—2841no—
634C2×C4—1422no—
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×C4C2×#1176586511yescharacteristic
643C2×C4C2×#1176586511yescharacteristic
644C2×C4C2×#1176586511yescharacteristic
645C2×C4C2×#1176586511yescharacteristic
646C8—21no—
647C8—21no—
648C8—22no—
649C8—22no—
650C8—2841no—
651C8—2841no—
652C8—1421no—
653C8—1421no—
654C8—1421no—
655C8—1421no—
656C8#1455611112yes—
657C8#1455611112yes—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—81no—
667C22—81no—
668C22—2841no—
669C22—2841no—
670C22—2841no—
671C22C2×C4×C22⋊D7111yescharacteristic
672C22#1798653311yescharacteristic
673C22#1798653311yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—2842no—
681C4—2841no—
682C4—2841no—
683C4—2841no—
684C4—5681no—
685C4C4×#1176586511yescharacteristic
686C4C4×#1176586511yescharacteristic
687C4C2×#1455611111yescharacteristic
688C4#1798651011yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—5681no—
694C2C4×#1455611111yescharacteristic
695C2#2259724711yescharacteristic
696C2#2259725511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#2873C2
socleC22×C71C2×C4×D4
prime radical#17986510C22
cosocleC22×C4×C71C24
hypercenter#2873D71
hypocenterC71#21594
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C22×M16 ◁ #2873

Complements

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

NH ≅ G/Ntype
3. #22588988C2semidirect
4. #22588988C2semidirect
5. #22588939C2semidirect
6. #22588939C2semidirect
8. #22588545C2semidirect
9. #22588439C2semidirect
10. #22588225C2semidirect
11. #22588220C2semidirect
12. #22588186C2semidirect
13. #22588179C2semidirect
14. #22588121C2semidirect
15. C71×#2873C2semidirect
18. #17986340C4semidirect
19. #17986340C4semidirect
20. #17986334C4semidirect
21. #17986329C4semidirect
22. #17986323C4semidirect
23. #17986323C4semidirect
24. #17986317C4semidirect
25. #17986312C4semidirect
351. #2873D71semidirect
364. C71#21594semidirect

Maximal subgroups

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

subgroupindex
#225982532
#225970432
#225889882
#225889392
#225886422
#225885452
#225884392
#225882252
#225882202
#225881862
#225881792
#225881212
C71×#28732
#2159471