Finite Group Databasebeta

← #34295668

Subgroups — #34295668

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#23773313C211yesmaximal, characteristic
2#23772103C211yesmaximal, characteristic
3#23764048C211yesmaximal, characteristic, complemented
4#23764048C211yesmaximal, characteristic, complemented
5#23763999C211yesmaximal, characteristic, complemented
6#23763999C211yesmaximal, characteristic, complemented
7#23763702C211yesmaximal, characteristic
8#23763605C211yesmaximal, characteristic, complemented
9#23763499C211yesmaximal, characteristic, complemented
10#23763285C211yesmaximal, characteristic, complemented
11#23763280C211yesmaximal, characteristic, complemented
12#23763246C211yesmaximal, characteristic, complemented
13#23763239C211yesmaximal, characteristic, complemented
14#23763181C211yesmaximal, characteristic, complemented
15C79×#2873C211yesmaximal, characteristic, complemented
16C2×#14579167C2211yescharacteristic
17#19099074C2211yescharacteristic
18#19098904C411yescharacteristic, complemented
19#19098904C411yescharacteristic, complemented
20#19098898C411yescharacteristic, complemented
21#19098893C411yescharacteristic, complemented
22#19098887C411yescharacteristic, complemented
23#19098887C411yescharacteristic, complemented
24#19098881C411yescharacteristic, complemented
25#19098876C411yescharacteristic, complemented
26#19098639—21no—
27#19098639—21no—
28#19098632—21no—
29#19098632—21no—
30C2×#14579096C2211yescharacteristic
31C2×#14579096C2211yescharacteristic
32#19098599C2211yescharacteristic
33#19098599C2211yescharacteristic
34#19098589C2211yescharacteristic
35C2×#14579087C2211yescharacteristic
36C2×#14579087C2211yescharacteristic
37#19098557C2211yescharacteristic
38#19098557C2211yescharacteristic
39#19098529C2211yescharacteristic
40#19098527C2211yescharacteristic
41C2×C22⋊(C79⋊C8)C2211yescharacteristic
42#19098518C2211yescharacteristic
43C2×#14579071C2211yescharacteristic
44C2×C8×Dic79C2211yescharacteristic
45C4×C22⋊Dic79C2211yescharacteristic
46#19098327C2211yescharacteristic
47#19098327C2211yescharacteristic
48#19098324C2211yescharacteristic
49#19098324C2211yescharacteristic
50#19098322C2211yescharacteristic
51#19098322C2211yescharacteristic
52#19098322C2211yescharacteristic
53#19098322C2211yescharacteristic
54#19098317C2211yescharacteristic
55#19098317C2211yescharacteristic
56C22×M16×C79C2211yescharacteristic
57C22×M16×C79C2211yescharacteristic
58C2×#117×C79C2211yescharacteristic
59#405×C79—21no—
60#405×C79—21no—
61#405×C79C2211yescharacteristic
62#405×C79C2211yescharacteristic
63#405×C79C2211yescharacteristic
64#405×C79C2211yescharacteristic
65C4×M16×C79—21no—
66C4×M16×C79—21no—
67C2×#11929624C2311yescharacteristic
68#14579167—22no—
69#14579167—22no—
70C2×#11929608C2311yescharacteristic
71C2×#11929608C2311yescharacteristic
72C2×#11929607—21no—
73C22×C79⋊C8C2311yescharacteristic
74C22×C79⋊C8C2311yescharacteristic
75C2×C8×D79—21no—
76#14579144—21no—
77#14579140C2×C411yescharacteristic
78#14579140C2×C411yescharacteristic
79#14579135C2×C411yescharacteristic
80#14579135C2×C411yescharacteristic
81#14579130—21no—
82C4×C22⋊D79—21no—
83C4×C22⋊D79—21no—
84#14579120C2311yescharacteristic
85C2×C22⋊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
98Dic79⋊C8—21no—
99Dic79⋊C8—21no—
100#14579087—22no—
101#14579087—22no—
102#14579084C2×C411yescharacteristic
103#14579084C2×C411yescharacteristic
104#14579084C2×C411yescharacteristic
105#14579084C2×C411yescharacteristic
106#14579081C2×C411yescharacteristic
107#14579081C2×C411yescharacteristic
108#14579081C2×C411yescharacteristic
109#14579081C2×C411yescharacteristic
110C22⋊(C79⋊C8)—21no—
111C22⋊(C79⋊C8)—21no—
112C22⋊(C79⋊C8)C2×C411yescharacteristic
113C22⋊(C79⋊C8)C2×C411yescharacteristic
114C22⋊(C79⋊C8)C2×C411yescharacteristic
115C22⋊(C79⋊C8)C2×C411yescharacteristic
116(C2×D79)⋊C8—21no—
117(C2×D79)⋊C8—21no—
118#14579071—21no—
119#14579071—22no—
120C8×Dic79—21no—
121C8×Dic79—22no—
122C79⋊#95—21no—
123C23×C4×C79C2311yescharacteristic
124C2×M16×C79—21no—
125C2×M16×C79—22no—
126C2×M16×C79—22no—
127C2×M16×C79—22no—
128C2×M16×C79—22no—
129C2×M16×C79D411yescharacteristic
130C2×M16×C79D411yescharacteristic
131C2×M16×C79D411yescharacteristic
132C2×M16×C79D411yescharacteristic
133C2×M16×C79C2311yescharacteristic
134C2×M16×C79C2311yescharacteristic
135C22×C8×C79—21no—
136C22×C8×C79C2311yescharacteristic
137C22×C8×C79C2311yescharacteristic
138#117×C79—21no—
139#117×C79—21no—
140#117×C79C2×C411yescharacteristic
141#117×C79C2×C411yescharacteristic
142#117×C79C2311yescharacteristic
143#117×C79C2311yescharacteristic
144C2×C4⋊C4×C79C2×C411yescharacteristic
145C2×C4⋊C4×C79C2×C411yescharacteristic
146C2×C22⋊C4×C79—21no—
147C2×C42×C79—21no—
148#97×C79—21no—
149#97×C79—21no—
150#97×C79—21no—
151#97×C79—21no—
152C4×C8×C79—21no—
153C4×C8×C79—21no—
154C4×C8×C79—21no—
155C4×C8×C79—21no—
156#11929624—21no—
157#11929624—21no—
158#11929624—21no—
159#11929624—21no—
160C2×Dic158C22×C411yescharacteristic
161C2×D316C22×C411yescharacteristic
162C2×C22⋊D79—21no—
163C2×C22⋊D79—21no—
164C2×C22⋊D79—21no—
165C22×Dic79—21no—
166C22×Dic79—21no—
167C2×C4×D79—21no—
168#11929608—21no—
169#11929608—21no—
170#11929608—21no—
171#11929608—21no—
172#11929607—42no—
173C2×C79⋊C8—21no—
174C2×C79⋊C8—21no—
175C2×C79⋊C8—21no—
176C2×C79⋊C8—21no—
177C2×C79⋊C8—21no—
178C2×C79⋊C8—21no—
179C2×C79⋊C8C22×C411yescharacteristic
180C2×C79⋊C8C22×C411yescharacteristic
181C2×C79⋊C8C22×C411yescharacteristic
182C2×C79⋊C8C22×C411yescharacteristic
183C8×D79—42no—
184C4⋊Dic79C22×C411yescharacteristic
185C4⋊Dic79C22×C411yescharacteristic
186Dic79⋊C4—21no—
187Dic79⋊C4—21no—
188C22⋊Dic79—21no—
189C22⋊Dic79—21no—
190C22⋊Dic79—21no—
191C22⋊Dic79—42no—
192(C2×D79)⋊C4—21no—
193(C2×D79)⋊C4—21no—
194C4×Dic79—21no—
195C4×Dic79—21no—
196C4×Dic79—21no—
197C4×Dic79—21no—
198C4×Dic79—21no—
199C24×C79#4111yescharacteristic
200C22×C4×C79—21no—
201C22×C4×C79—21no—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—21no—
206C22×C4×C79C22×C411yescharacteristic
207C22×C4×C79C22×C411yescharacteristic
208C22×C4×C79C2×D411yescharacteristic
209C22×C4×C79C2×D411yescharacteristic
210C22×C4×C79#4111yescharacteristic
211C22×C4×C79C2411yescharacteristic
212M16×C79—24no—
213M16×C79—22no—
214M16×C79—22no—
215M16×C79—22no—
216M16×C79—22no—
217M16×C79—21no—
218M16×C79—21no—
219M16×C79#4112yes—
220M16×C79#4112yes—
221C2×C8×C79—24no—
222C2×C8×C79—21no—
223C2×C8×C79—21no—
224C2×C8×C79—21no—
225C2×C8×C79—21no—
226C2×C8×C79C2×D411yescharacteristic
227C2×C8×C79C2×D411yescharacteristic
228C2×C8×C79C2×D411yescharacteristic
229C2×C8×C79C2×D411yescharacteristic
230C2×C8×C79#4112yes—
231C2×C8×C79#4112yes—
232C4⋊C4×C79—21no—
233C4⋊C4×C79—21no—
234C4⋊C4×C79C22×C411yescharacteristic
235C4⋊C4×C79C22×C411yescharacteristic
236C4⋊C4×C79C22×C411yescharacteristic
237C4⋊C4×C79C22×C411yescharacteristic
238C22⋊C4×C79—21no—
239C22⋊C4×C79—21no—
240C22⋊C4×C79—21no—
241C22⋊C4×C79—21no—
242C42×C79—21no—
243C42×C79—21no—
244C42×C79—21no—
245C42×C79—21no—
246C23×C79—21no—
247C23×C79—21no—
248C23×C79—41no—
249C23×C79—41no—
250C23×C79C4×D411yescharacteristic
251C23×C79C4×D411yescharacteristic
252C23×C79C2×#4111yescharacteristic
253C22×D79—21no—
254C2×C4×C79—21no—
255C2×C4×C79—21no—
256C2×C4×C79—21no—
257C2×C4×C79—21no—
258C2×C4×C79—21no—
259C2×C4×C79—21no—
260C2×C4×C79—21no—
261C2×C4×C79—21no—
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—81no—
269C2×C4×C79—81no—
270C2×C4×C79C4×D411yescharacteristic
271C2×C4×C79C4×D411yescharacteristic
272C2×C4×C79C23×C411yescharacteristic
273C2×C4×C79C22×D411yescharacteristic
274C2×C4×C79C2×#4111yescharacteristic
275C2×C4×C79C2×#4111yescharacteristic
276C2×C4×C79C2×#4111yescharacteristic
277C2×C4×C79C2×#4111yescharacteristic
278C22⋊D79—41no—
279C22⋊D79—41no—
280C22⋊D79—81no—
281C22⋊D79—81no—
282C2×Dic79—22no—
283C2×Dic79—21no—
284C2×Dic79—21no—
285C2×Dic79—21no—
286C2×Dic79—41no—
287C2×Dic79—41no—
288C2×Dic79—41no—
289C2×Dic79—41no—
290C2×Dic79—41no—
291D316—21no—
292D316—21no—
293C4×D79—41no—
294C4×D79—41no—
295Dic158—21no—
296Dic158—21no—
297C8×C79—21no—
298C8×C79—21no—
299C8×C79—22no—
300C8×C79—22no—
301C8×C79#12312yes—
302C8×C79#12312yes—
303C79⋊C8—21no—
304C79⋊C8—21no—
305C79⋊C8—21no—
306C79⋊C8—21no—
307C79⋊C8—41no—
308C79⋊C8—41no—
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—81no—
318C22×C79—81no—
319C22×C79C2×C4×D411yescharacteristic
320C22×C79#52911yescharacteristic
321C22×C79#52911yescharacteristic
322C2×D79—41no—
323C2×D79—41no—
324C2×D79—41no—
325C4×C79—21no—
326C4×C79—21no—
327C4×C79—41no—
328C4×C79—41no—
329C4×C79—41no—
330C4×C79—41no—
331C4×C79C4×#4111yescharacteristic
332C4×C79C4×#4111yescharacteristic
333C4×C79C2×#12311yescharacteristic
334C4×C79#52511yescharacteristic
335Dic79—42no—
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×C79C4×#12311yescharacteristic
346C2×C79#295611yescharacteristic
347C2×C79#295711yescharacteristic
348D79—81no—
349#3091—791no—
350#2930—791no—
351#2873D7911yescharacteristic, complemented
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×#131—791no—
366C22×M16C2×D7911yescharacteristic
367C22×M16C2×D7911yescharacteristic
368#525—791no—
369C2×#117C2×D7911yescharacteristic
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—1581no—
379#436—1581no—
380#435—1581no—
381#435—1581no—
382C2×#108—791no—
383C2×#108—791no—
384#427—791no—
385#427—791no—
386#424—791no—
387C2×#104—791no—
388C2×#104—791no—
389#416—791no—
390#416—791no—
391#408—791no—
392#407—791no—
393C2×C22⋊C8—791no—
394#405—21no—
395#405—21no—
396#405—791no—
397#405C2×D7911yescharacteristic
398#405C2×D7911yescharacteristic
399#405C2×D7911yescharacteristic
400#405C2×D7911yescharacteristic
401C4×M16—21no—
402C4×M16—21no—
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×#41—791no—
417C23×C4C22×D7911yescharacteristic
418#131—1582no—
419#131—1582no—
420C2×M16—21no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—791no—
426C2×M16—791no—
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—1581no—
441C22⋊Q8—791no—
442C22⋊Q8—791no—
443#121—791no—
444#121—791no—
445#120—1581no—
446C4×D4—1581no—
447C4×D4—1581no—
448#117—21no—
449#117—21no—
450#117—791no—
451#117C4×D7911yescharacteristic
452#117C4×D7911yescharacteristic
453#117C22×D7911yescharacteristic
454#117C22×D7911yescharacteristic
455C2×C4⋊C4C4×D7911yescharacteristic
456C2×C4⋊C4C4×D7911yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1581no—
459C2×C42—21no—
460C2×C42—791no—
461C2×C42—791no—
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—1581no—
473C4⋊C8—1581no—
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—791no—
485C22⋊C8—791no—
486C22⋊C8—791no—
487C22⋊C8—791no—
488C22⋊C8—1581no—
489C22⋊C8—1581no—
490C22⋊C8—1581no—
491C22⋊C8—1581no—
492#97—21no—
493#97—21no—
494#97—21no—
495#97—21no—
496#97—1581no—
497#97—1582no—
498C4×C8—21no—
499C4×C8—21no—
500C4×C8—21no—
501C4×C8—21no—
502C4×C8—1581no—
503C4×C8—1582no—
504#95—1581no—
505C24#1192962411yescharacteristic
506#41—1581no—
507#41—1581no—
508#41—1581no—
509#41—1581no—
510C2×Q8—791no—
511C2×D4—791no—
512C2×D4—1581no—
513C2×D4—1581no—
514C2×D4—1581no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
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—24no—
531M16—21no—
532M16—21no—
533M16—22no—
534M16—22no—
535M16—22no—
536M16—22no—
537M16—3162no—
538M16—1581no—
539M16—1581no—
540M16—1581no—
541M16—1581no—
542M16#1192962412yes—
543M16#1192962412yes—
544C2×C8—24no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—3162no—
550C2×C8—791no—
551C2×C8—791no—
552C2×C8—791no—
553C2×C8—791no—
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#1192962412yes—
565C2×C8#1192962412yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—791no—
569C4⋊C4—791no—
570C4⋊C4—1581no—
571C4⋊C4—1581no—
572C4⋊C4C2×C4×D7911yescharacteristic
573C4⋊C4C2×C4×D7911yescharacteristic
574C4⋊C4C2×C4×D7911yescharacteristic
575C4⋊C4C2×C4×D7911yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—3162no—
581C22⋊C4—1581no—
582C22⋊C4—1581no—
583C22⋊C4—1581no—
584C22⋊C4—1581no—
585C22⋊C4—1581no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—1581no—
591C42—1581no—
592C42—1581no—
593C42—1581no—
594C42—1581no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—41no—
599C23—1581no—
600C23C4×C22⋊D7911yescharacteristic
601C23C4×C22⋊D7911yescharacteristic
602C23C2×#1192962411yescharacteristic
603Q8—1581no—
604Q8—1581no—
605D4—3161no—
606D4—3161no—
607D4—6321no—
608D4—6321no—
609D4—1581no—
610D4—1581no—
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—3161no—
628C2×C4—3161no—
629C2×C4—3161no—
630C2×C4—3161no—
631C2×C4—3161no—
632C2×C4—3161no—
633C2×C4—3161no—
634C2×C4—1582no—
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×C4C2×#1192962411yescharacteristic
643C2×C4C2×#1192962411yescharacteristic
644C2×C4C2×#1192962411yescharacteristic
645C2×C4C2×#1192962411yescharacteristic
646C8—21no—
647C8—21no—
648C8—22no—
649C8—22no—
650C8—3161no—
651C8—3161no—
652C8—1581no—
653C8—1581no—
654C8—1581no—
655C8—1581no—
656C8#1457914412yes—
657C8#1457914412yes—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—81no—
667C22—81no—
668C22—3161no—
669C22—3161no—
670C22—3161no—
671C22C2×C4×C22⋊D7911yescharacteristic
672C22#1909909711yescharacteristic
673C22#1909909711yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—3162no—
681C4—3161no—
682C4—3161no—
683C4—3161no—
684C4—6321no—
685C4C4×#1192962411yescharacteristic
686C4C4×#1192962411yescharacteristic
687C4C2×#1457914411yescharacteristic
688C4#1909907411yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—6321no—
694C2C4×#1457914411yescharacteristic
695C2#2377230711yescharacteristic
696C2#2377231511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2873C2
socleC22×C79C2×C4×D4
prime radical#19099074C22
cosocleC22×C4×C79C24
hypercenter#2873D79
hypocenterC79#21594
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C22×M16 ◁ #2873

Complements

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

NH ≅ G/Ntype
3. #23764048C2semidirect
4. #23764048C2semidirect
5. #23763999C2semidirect
6. #23763999C2semidirect
8. #23763605C2semidirect
9. #23763499C2semidirect
10. #23763285C2semidirect
11. #23763280C2semidirect
12. #23763246C2semidirect
13. #23763239C2semidirect
14. #23763181C2semidirect
15. C79×#2873C2semidirect
18. #19098904C4semidirect
19. #19098904C4semidirect
20. #19098898C4semidirect
21. #19098893C4semidirect
22. #19098887C4semidirect
23. #19098887C4semidirect
24. #19098881C4semidirect
25. #19098876C4semidirect
351. #2873D79semidirect
364. C79#21594semidirect

Maximal subgroups

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

subgroupindex
#237733132
#237721032
#237640482
#237639992
#237637022
#237636052
#237634992
#237632852
#237632802
#237632462
#237632392
#237631812
C79×#28732
#2159479