Finite Group Databasebeta

← #34295662

Subgroups — #34295662

Order 20224.

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#23773309C211yesmaximal, characteristic
2#23771818C211yesmaximal, characteristic, complemented
3#23764045C211yesmaximal, characteristic, complemented
4#23764045C211yesmaximal, characteristic, complemented
5#23763996C211yesmaximal, characteristic, complemented
6#23763996C211yesmaximal, characteristic, complemented
7#23763703C211yesmaximal, characteristic
8#23763604C211yesmaximal, characteristic, complemented
9#23763497C211yesmaximal, characteristic, complemented
10#23763285C211yesmaximal, characteristic, complemented
11#23763280C211yesmaximal, characteristic, complemented
12#23763242C211yesmaximal, characteristic, complemented
13#23763235C211yesmaximal, characteristic, complemented
14#23763181C211yesmaximal, characteristic, complemented
15C79×#2930C211yesmaximal, characteristic
16C22×#11929608C2211yescharacteristic
17C2×#14579120C2211yescharacteristic
18#19098901C411yescharacteristic, complemented
19#19098901C411yescharacteristic, complemented
20#19098896C411yescharacteristic, complemented
21#19098891C411yescharacteristic, complemented
22#19098884C411yescharacteristic, complemented
23#19098884C411yescharacteristic, complemented
24#19098879C411yescharacteristic, complemented
25#19098874C411yescharacteristic, complemented
26C2×#14579096C2211yescharacteristic
27C2×#14579096C2211yescharacteristic
28#19098599C2211yescharacteristic
29#19098599C2211yescharacteristic
30C2×#14579088C2211yescharacteristic
31C2×#14579088C2211yescharacteristic
32#19098559C2211yescharacteristic
33#19098559C2211yescharacteristic
34C2×C22⋊(C79⋊C8)C2211yescharacteristic
35#19098521—21no—
36#19098521—21no—
37#19098518C2211yescharacteristic
38#19098518C2211yescharacteristic
39#19098518C2211yescharacteristic
40#19098518C2211yescharacteristic
41M16×Dic79—21no—
42M16×Dic79—21no—
43C2×#14579071C2211yescharacteristic
44C2×C8×Dic79C2211yescharacteristic
45C4×C22⋊Dic79C2211yescharacteristic
46#19098327C2211yescharacteristic
47#19098327C2211yescharacteristic
48#19098324C2211yescharacteristic
49#19098324C2211yescharacteristic
50#19098324C2211yescharacteristic
51#19098324C2211yescharacteristic
52#19098322C2211yescharacteristic
53#19098322C2211yescharacteristic
54#19098317C2211yescharacteristic
55#19098317C2211yescharacteristic
56C2×#131×C79C2211yescharacteristic
57C22×M16×C79C2211yescharacteristic
58#525×C79C2211yescharacteristic
59#436×C79—21no—
60#436×C79—21no—
61#435×C79—21no—
62#435×C79—21no—
63#424×C79C2211yescharacteristic
64#408×C79C2211yescharacteristic
65#407×C79C2211yescharacteristic
66#405×C79C2211yescharacteristic
67C2×#11929608—21no—
68C2×#11929608—22no—
69C2×#11929608—22no—
70C2×#11929608C2311yescharacteristic
71C2×#11929608C2311yescharacteristic
72C22×C79⋊C8—21no—
73C22×C79⋊C8C2311yescharacteristic
74C22×C79⋊C8C2311yescharacteristic
75#14579120—21no—
76#14579120—21no—
77#14579120C2×C411yescharacteristic
78#14579120C2×C411yescharacteristic
79#14579120C2311yescharacteristic
80#14579120C2311yescharacteristic
81C2×C4⋊Dic79C2×C411yescharacteristic
82C2×C4⋊Dic79C2×C411yescharacteristic
83C2×C22⋊Dic79—21no—
84C2×C22⋊Dic79—21no—
85C2×C4×Dic79—21no—
86C2×C4×Dic79C2311yescharacteristic
87C2×C4×Dic79C2311yescharacteristic
88#14579096—22no—
89#14579096—22no—
90#14579094C2×C411yescharacteristic
91#14579094C2×C411yescharacteristic
92#14579094C2×C411yescharacteristic
93#14579094C2×C411yescharacteristic
94#14579092C2×C411yescharacteristic
95#14579092C2×C411yescharacteristic
96#14579092C2×C411yescharacteristic
97#14579092C2×C411yescharacteristic
98#14579088—22no—
99#14579088—22no—
100#14579085C2×C411yescharacteristic
101#14579085C2×C411yescharacteristic
102#14579085C2×C411yescharacteristic
103#14579085C2×C411yescharacteristic
104#14579082C2×C411yescharacteristic
105#14579082C2×C411yescharacteristic
106#14579082C2×C411yescharacteristic
107#14579082C2×C411yescharacteristic
108C22⋊(C79⋊C8)C2×C411yescharacteristic
109C22⋊(C79⋊C8)C2×C411yescharacteristic
110C22⋊(C79⋊C8)C2×C411yescharacteristic
111C22⋊(C79⋊C8)C2×C411yescharacteristic
112#14579071—21no—
113#14579071—21no—
114#14579071—21no—
115#14579071—21no—
116#14579071—22no—
117C8×Dic79—21no—
118C8×Dic79—21no—
119C8×Dic79—21no—
120C8×Dic79—21no—
121C8×Dic79—22no—
122C79⋊#95—21no—
123C2×#41×C79C2311yescharacteristic
124C23×C4×C79C2311yescharacteristic
125#131×C79—22no—
126#131×C79—22no—
127C2×M16×C79—21no—
128C2×M16×C79—22no—
129C2×M16×C79—22no—
130C2×M16×C79D411yescharacteristic
131C2×M16×C79D411yescharacteristic
132C2×M16×C79D411yescharacteristic
133C2×M16×C79D411yescharacteristic
134C2×M16×C79C2311yescharacteristic
135C2×M16×C79C2311yescharacteristic
136C22×C8×C79—21no—
137C22×C8×C79C2311yescharacteristic
138C22×C8×C79C2311yescharacteristic
139#123×C79—21no—
140C22⋊Q8×C79C2×C411yescharacteristic
141C22⋊Q8×C79C2×C411yescharacteristic
142#121×C79C2×C411yescharacteristic
143#121×C79C2×C411yescharacteristic
144#120×C79—21no—
145C4×D4×C79—21no—
146C4×D4×C79—21no—
147#117×C79C2311yescharacteristic
148C4⋊C8×C79—21no—
149C4⋊C8×C79—21no—
150C22⋊C8×C79—21no—
151C22⋊C8×C79—21no—
152C22⋊C8×C79—21no—
153C22⋊C8×C79—21no—
154#97×C79—21no—
155C4×C8×C79—21no—
156C22×Dic79—21no—
157C22×Dic79—21no—
158C22×Dic79—21no—
159C22×Dic79—21no—
160#11929608—24no—
161#11929608—21no—
162#11929608—21no—
163#11929608#4112yes—
164#11929608#4112yes—
165C2×C79⋊C8—24no—
166C2×C79⋊C8—21no—
167C2×C79⋊C8—21no—
168C2×C79⋊C8—21no—
169C2×C79⋊C8—21no—
170C2×C79⋊C8—21no—
171C2×C79⋊C8—21no—
172C2×C79⋊C8C22×C411yescharacteristic
173C2×C79⋊C8C22×C411yescharacteristic
174C2×C79⋊C8C22×C411yescharacteristic
175C2×C79⋊C8C22×C411yescharacteristic
176C4⋊Dic79—21no—
177C4⋊Dic79—21no—
178C4⋊Dic79C22×C411yescharacteristic
179C4⋊Dic79C22×C411yescharacteristic
180C4⋊Dic79C22×C411yescharacteristic
181C4⋊Dic79C22×C411yescharacteristic
182C22⋊Dic79—21no—
183C22⋊Dic79—21no—
184C22⋊Dic79—21no—
185C22⋊Dic79—21no—
186C22⋊Dic79—42no—
187C4×Dic79—21no—
188C4×Dic79—21no—
189C4×Dic79—21no—
190C4×Dic79—21no—
191C4×Dic79—21no—
192C4×Dic79—21no—
193C4×Dic79—21no—
194C4×Dic79—21no—
195C24×C79#4111yescharacteristic
196#41×C79—21no—
197#41×C79—21no—
198#41×C79—21no—
199#41×C79—21no—
200C2×Q8×C79C22×C411yescharacteristic
201C2×D4×C79—21no—
202C2×D4×C79—21no—
203C2×D4×C79—21no—
204C2×D4×C79C22×C411yescharacteristic
205C22×C4×C79—21no—
206C22×C4×C79—21no—
207C22×C4×C79—21no—
208C22×C4×C79—21no—
209C22×C4×C79—21no—
210C22×C4×C79C22×C411yescharacteristic
211C22×C4×C79C22×C411yescharacteristic
212C22×C4×C79C2×D411yescharacteristic
213C22×C4×C79C2×D411yescharacteristic
214C22×C4×C79#4111yescharacteristic
215C22×C4×C79C2411yescharacteristic
216M16×C79—22no—
217M16×C79—22no—
218M16×C79—22no—
219M16×C79—22no—
220M16×C79—21no—
221M16×C79—21no—
222M16×C79—21no—
223M16×C79—21no—
224M16×C79—42no—
225C2×C8×C79—21no—
226C2×C8×C79—21no—
227C2×C8×C79—21no—
228C2×C8×C79—21no—
229C2×C8×C79—42no—
230C2×C8×C79C2×D411yescharacteristic
231C2×C8×C79C2×D411yescharacteristic
232C2×C8×C79C2×D411yescharacteristic
233C2×C8×C79C2×D411yescharacteristic
234C2×C8×C79#4112yes—
235C2×C8×C79#4112yes—
236C4⋊C4×C79—21no—
237C4⋊C4×C79—21no—
238C4⋊C4×C79C22×C411yescharacteristic
239C4⋊C4×C79C22×C411yescharacteristic
240C22⋊C4×C79—21no—
241C22⋊C4×C79—21no—
242C22⋊C4×C79—21no—
243C22⋊C4×C79—21no—
244C22⋊C4×C79—21no—
245C42×C79—21no—
246C23×C79—21no—
247C23×C79—21no—
248C23×C79—21no—
249C23×C79—41no—
250C23×C79—41no—
251C23×C79C4×D411yescharacteristic
252C23×C79C4×D411yescharacteristic
253C23×C79C2×#4111yescharacteristic
254Q8×C79—21no—
255Q8×C79—21no—
256D4×C79—21no—
257D4×C79—21no—
258D4×C79—41no—
259D4×C79—41no—
260D4×C79—81no—
261D4×C79—81no—
262C2×C4×C79—21no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—21no—
267C2×C4×C79—21no—
268C2×C4×C79—21no—
269C2×C4×C79—21no—
270C2×C4×C79—21no—
271C2×C4×C79—21no—
272C2×C4×C79—21no—
273C2×C4×C79—21no—
274C2×C4×C79—21no—
275C2×C4×C79—41no—
276C2×C4×C79—41no—
277C2×C4×C79C4×D411yescharacteristic
278C2×C4×C79C4×D411yescharacteristic
279C2×C4×C79C23×C411yescharacteristic
280C2×C4×C79C22×D411yescharacteristic
281C2×C4×C79C2×#4111yescharacteristic
282C2×C4×C79C2×#4111yescharacteristic
283C2×C4×C79C2×#4111yescharacteristic
284C2×C4×C79C2×#4111yescharacteristic
285C2×Dic79—22no—
286C2×Dic79—21no—
287C2×Dic79—21no—
288C2×Dic79—21no—
289C2×Dic79—21no—
290C2×Dic79—41no—
291C2×Dic79—41no—
292C2×Dic79—41no—
293C2×Dic79—41no—
294C2×Dic79—41no—
295C2×Dic79—81no—
296C2×Dic79—81no—
297C8×C79—21no—
298C8×C79—21no—
299C8×C79—41no—
300C8×C79—41no—
301C8×C79#12312yes—
302C8×C79#12312yes—
303C79⋊C8—21no—
304C79⋊C8—21no—
305C79⋊C8—21no—
306C79⋊C8—21no—
307C79⋊C8—22no—
308C79⋊C8—22no—
309C22×C79—21no—
310C22×C79—21no—
311C22×C79—21no—
312C22×C79—21no—
313C22×C79—21no—
314C22×C79—21no—
315C22×C79—21no—
316C22×C79—21no—
317C22×C79—41no—
318C22×C79—41no—
319C22×C79—41no—
320C22×C79—81no—
321C22×C79—81no—
322C22×C79C2×C4×D411yescharacteristic
323C22×C79#52911yescharacteristic
324C22×C79#52911yescharacteristic
325C4×C79—21no—
326C4×C79—21no—
327C4×C79—41no—
328C4×C79—41no—
329C4×C79—41no—
330C4×C79C4×#4111yescharacteristic
331C4×C79C4×#4111yescharacteristic
332C4×C79C2×#12311yescharacteristic
333C4×C79#52511yescharacteristic
334Dic79—42no—
335Dic79—41no—
336Dic79—41no—
337Dic79—41no—
338Dic79—41no—
339Dic79—81no—
340#21594—791nomaximal, Sylow
341C2×C79—21no—
342C2×C79—21no—
343C2×C79—41no—
344C2×C79—41no—
345C2×C79—81no—
346C2×C79C4×#12311yescharacteristic
347C2×C79#295611yescharacteristic
348C2×C79#295711yescharacteristic
349#3091—791no—
350#2930D7911yescharacteristic
351#2873—791no—
352#1929—791no—
353#1929—791no—
354#1922—791no—
355#1922—791no—
356#1871—791no—
357#1855—791no—
358#1826—791no—
359#1773—791no—
360#1772—791no—
361#1765—791no—
362#1764—791no—
363#1753—791no—
364C79#2159411yescharacteristic, complemented, Sylow
365C2×#131C2×D7911yescharacteristic
366C22×M16—791no—
367C22×M16C2×D7911yescharacteristic
368#525C2×D7911yescharacteristic
369C2×#117—791no—
370#485—791no—
371#485—791no—
372#484—791no—
373#483—791no—
374#482—791no—
375#482—791no—
376#481—791no—
377#480—791no—
378#436—21no—
379#436—21no—
380#435—21no—
381#435—21no—
382C2×#108—791no—
383C2×#108—791no—
384#427—791no—
385#427—791no—
386#424C2×D7911yescharacteristic
387C2×#104—791no—
388C2×#104—791no—
389#416—791no—
390#416—791no—
391#408C2×D7911yescharacteristic
392#407C2×D7911yescharacteristic
393C2×C22⋊C8—791no—
394#405—791no—
395#405—791no—
396#405—791no—
397#405—791no—
398#405—1581no—
399#405—1581no—
400#405C2×D7911yescharacteristic
401C4×M16—1581no—
402C4×M16—1581no—
403C2×#97—791no—
404C2×C4×C8—791no—
405C4×C22⋊C4—791no—
406#341—791no—
407#341—791no—
408#339—791no—
409#339—791no—
410#339—791no—
411#339—791no—
412#339—791no—
413#339—791no—
414#336—791no—
415#336—791no—
416C2×#41C22×D7911yescharacteristic
417C23×C4C22×D7911yescharacteristic
418#131—22no—
419#131—22no—
420C2×M16—21no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—791no—
424C2×M16—791no—
425C2×M16—1582no—
426C2×M16—1582no—
427C2×M16—1581no—
428C2×M16C22⋊D7911yescharacteristic
429C2×M16C22⋊D7911yescharacteristic
430C2×M16C22⋊D7911yescharacteristic
431C2×M16C22⋊D7911yescharacteristic
432C2×M16C22×D7911yescharacteristic
433C2×M16C22×D7911yescharacteristic
434C22×C8—21no—
435C22×C8—791no—
436C22×C8—791no—
437C22×C8—1581no—
438C22×C8C22×D7911yescharacteristic
439C22×C8C22×D7911yescharacteristic
440#123—21no—
441C22⋊Q8C4×D7911yescharacteristic
442C22⋊Q8C4×D7911yescharacteristic
443#121C4×D7911yescharacteristic
444#121C4×D7911yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—791no—
449#117—791no—
450#117—791no—
451#117—791no—
452#117—1581no—
453#117—1581no—
454#117C22×D7911yescharacteristic
455C2×C4⋊C4—791no—
456C2×C4⋊C4—791no—
457C2×C22⋊C4—1581no—
458C2×C22⋊C4—1581no—
459C2×C42—791no—
460C2×C42—791no—
461C2×C42—1581no—
462#108—1582no—
463#108—1582no—
464#107—791no—
465#107—791no—
466#107—791no—
467#107—791no—
468#106—791no—
469#106—791no—
470#106—791no—
471#106—791no—
472C4⋊C8—21no—
473C4⋊C8—21no—
474#104—1582no—
475#104—1582no—
476#103—791no—
477#103—791no—
478#103—791no—
479#103—791no—
480#102—791no—
481#102—791no—
482#102—791no—
483#102—791no—
484C22⋊C8—21no—
485C22⋊C8—21no—
486C22⋊C8—21no—
487C22⋊C8—21no—
488C22⋊C8—791no—
489C22⋊C8—791no—
490C22⋊C8—791no—
491C22⋊C8—791no—
492#97—21no—
493#97—1581no—
494#97—1581no—
495#97—1581no—
496#97—1581no—
497#97—1582no—
498C4×C8—21no—
499C4×C8—1581no—
500C4×C8—1581no—
501C4×C8—1581no—
502C4×C8—1581no—
503C4×C8—1582no—
504#95—1581no—
505C24#1192962411yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C2×C4×D7911yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C2×C4×D7911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—1581no—
521C22×C4—1581no—
522C22×C4—1581no—
523C22×C4—1581no—
524C22×C4C2×C4×D7911yescharacteristic
525C22×C4C2×C4×D7911yescharacteristic
526C22×C4C2×C22⋊D7911yescharacteristic
527C22×C4C2×C22⋊D7911yescharacteristic
528C22×C4#1192962411yescharacteristic
529C22×C4C23×D7911yescharacteristic
530M16—22no—
531M16—22no—
532M16—22no—
533M16—22no—
534M16—21no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—42no—
539M16—792no—
540M16—792no—
541M16—1584no—
542M16—1581no—
543M16—1581no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—42no—
549C2×C8—791no—
550C2×C8—791no—
551C2×C8—791no—
552C2×C8—791no—
553C2×C8—1584no—
554C2×C8—1581no—
555C2×C8—1581no—
556C2×C8—1581no—
557C2×C8—1581no—
558C2×C8—1581no—
559C2×C8—1581no—
560C2×C8C2×C22⋊D7911yescharacteristic
561C2×C8C2×C22⋊D7911yescharacteristic
562C2×C8C2×C22⋊D7911yescharacteristic
563C2×C8C2×C22⋊D7911yescharacteristic
564C2×C8#1192962312yes—
565C2×C8#1192962312yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—791no—
569C4⋊C4—791no—
570C4⋊C4—791no—
571C4⋊C4—791no—
572C4⋊C4—1581no—
573C4⋊C4—1581no—
574C4⋊C4C2×C4×D7911yescharacteristic
575C4⋊C4C2×C4×D7911yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—3162no—
582C22⋊C4—1581no—
583C22⋊C4—1581no—
584C22⋊C4—1581no—
585C22⋊C4—1581no—
586C42—21no—
587C42—1581no—
588C42—1581no—
589C42—1581no—
590C42—1581no—
591C42—1581no—
592C42—1581no—
593C42—1581no—
594C42—1581no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23C4×C22⋊D7911yescharacteristic
601C23C4×C22⋊D7911yescharacteristic
602C23C2×#1192962411yescharacteristic
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—3161no—
627C2×C4—3161no—
628C2×C4—3161no—
629C2×C4—3161no—
630C2×C4—3161no—
631C2×C4—6321no—
632C2×C4—6321no—
633C2×C4—1582no—
634C2×C4—1581no—
635C2×C4—1581no—
636C2×C4—1581no—
637C2×C4—1581no—
638C2×C4C4×C22⋊D7911yescharacteristic
639C2×C4C4×C22⋊D7911yescharacteristic
640C2×C4C22×C4×D7911yescharacteristic
641C2×C4C22×C22⋊D7911yescharacteristic
642C2×C4#41×D7911yescharacteristic
643C2×C4#41×D7911yescharacteristic
644C2×C4C2×#1192962311yescharacteristic
645C2×C4C2×#1192962311yescharacteristic
646C8—21no—
647C8—21no—
648C8—41no—
649C8—41no—
650C8—1581no—
651C8—1581no—
652C8—1581no—
653C8—1581no—
654C8—1582no—
655C8—1582no—
656C8#1457914212yes—
657C8#1457914212yes—
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⋊D7911yescharacteristic
672C22#1909909311yescharacteristic
673C22#1909909311yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—3162no—
680C4—3161no—
681C4—3161no—
682C4—3161no—
683C4—3161no—
684C4—6321no—
685C4C4×#1192962311yescharacteristic
686C4C4×#1192962311yescharacteristic
687C4C2×#1457914211yescharacteristic
688C4#1909907011yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2C4×#1457914211yescharacteristic
695C2#2377230711yescharacteristic
696C2#2377231511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2930C2
socleC22×C79C2×C4×D4
prime radical#525×C79C22
cosocleC22×C4×C79C24
hypercenter#2930D79
hypocenterC79#21594
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C22×M16 ◁ #2930

Complements

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

NH ≅ G/Ntype
2. #23771818C2semidirect
3. #23764045C2semidirect
4. #23764045C2semidirect
5. #23763996C2semidirect
6. #23763996C2semidirect
8. #23763604C2semidirect
9. #23763497C2semidirect
10. #23763285C2semidirect
11. #23763280C2semidirect
12. #23763242C2semidirect
13. #23763235C2semidirect
14. #23763181C2semidirect
18. #19098901C4semidirect
19. #19098901C4semidirect
20. #19098896C4semidirect
21. #19098891C4semidirect
22. #19098884C4semidirect
23. #19098884C4semidirect
24. #19098879C4semidirect
25. #19098874C4semidirect
364. C79#21594semidirect

Maximal subgroups

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

subgroupindex
#237733092
#237718182
#237640452
#237639962
#237637032
#237636042
#237634972
#237632852
#237632802
#237632422
#237632352
#237631812
C79×#29302
#2159479