Finite Group Databasebeta

← #28608162

Subgroups — #28608162

Order 15104.

740 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432762C211yesmaximal, characteristic, complemented
2#21432664C211yesmaximal, characteristic, complemented
3#21424809C211yesmaximal, characteristic, complemented
4#21424802C211yesmaximal, characteristic, complemented
5#21424697C211yesmaximal, characteristic, complemented
6#21424697C211yesmaximal, characteristic, complemented
7#21424425C211yesmaximal, characteristic
8#21424425C211yesmaximal, characteristic
9#21424237C211yesmaximal, characteristic, complemented
10#21424116C211yesmaximal, characteristic, complemented
11#21424116C211yesmaximal, characteristic, complemented
12#21423968C211yesmaximal, characteristic, complemented
13#21423943C211yesmaximal, characteristic, complemented
14#21423936C211yesmaximal, characteristic, complemented
15C59×#2943C211yesmaximal, characteristic
16C2×#14273734C2211yescharacteristic
17C2×#14273734C2211yescharacteristic
18#16837463—21no—
19#16837463—21no—
20#16837459—21no—
21#16837455—21no—
22#16837429—21no—
23#16837429—21no—
24#16837429C2211yescharacteristic
25#16837429C2211yescharacteristic
26#16837426—21no—
27#16837426C2211yescharacteristic
28#16837426C2211yescharacteristic
29C2×C4⋊(C59⋊C8)—21no—
30C2×C4⋊(C59⋊C8)C2211yescharacteristic
31C2×#14273654C2211yescharacteristic
32C2×#14273654C2211yescharacteristic
33C2×#14273654C2211yescharacteristic
34C2×#14273654C2211yescharacteristic
35#16837369C2211yescharacteristic
36#16837369C2211yescharacteristic
37#16837358C2211yescharacteristic
38#16837358C2211yescharacteristic
39C2×#14273637C2211yescharacteristic
40C2×C8×Dic59C2211yescharacteristic
41C4×C4⋊Dic59C2211yescharacteristic
42#16837167C2211yescharacteristic
43#16837167C2211yescharacteristic
44#16837167C2211yescharacteristic
45#16837167C2211yescharacteristic
46#16837161C2211yescharacteristic
47#16837161C2211yescharacteristic
48#16837161C2211yescharacteristic
49#16837161C2211yescharacteristic
50#16837156C2211yescharacteristic
51#16837156C2211yescharacteristic
52C2×#135×C59C2211yescharacteristic
53C4×#41×C59C2211yescharacteristic
54C4×#41×C59C2211yescharacteristic
55C59×#442C411yescharacteristic, complemented
56C59×#442C411yescharacteristic, complemented
57C59×#441C411yescharacteristic, complemented
58C59×#441C411yescharacteristic, complemented
59C59×#440C411yescharacteristic, complemented
60C59×#440C411yescharacteristic, complemented
61C59×#440C411yescharacteristic, complemented
62C59×#440C411yescharacteristic, complemented
63C59×#427C2211yescharacteristic
64C59×#416C2211yescharacteristic
65C59×#416C2211yescharacteristic
66C2×#97×C59C2211yescharacteristic
67#14273734—22no—
68#14273734—22no—
69#14273734—41no—
70#14273734—41no—
71C2×#11745664—21no—
72C2×#11745664—21no—
73C2×#11745664C2311yescharacteristic
74C2×#11745664C2311yescharacteristic
75C2×#11745664C2311yescharacteristic
76C2×#11745664C2311yescharacteristic
77C22×C59⋊C8—21no—
78C22×C59⋊C8—21no—
79C22×C59⋊C8C2311yescharacteristic
80C22×C59⋊C8C2311yescharacteristic
81C2×C4⋊Dic59—21no—
82C2×C4×Dic59C2311yescharacteristic
83C2×C4×Dic59C2311yescharacteristic
84C4⋊(C59⋊C8)—21no—
85C4⋊(C59⋊C8)—21no—
86C4⋊(C59⋊C8)—21no—
87C4⋊(C59⋊C8)—21no—
88C4⋊(C59⋊C8)—21no—
89C4⋊(C59⋊C8)—21no—
90C4⋊(C59⋊C8)—21no—
91C4⋊(C59⋊C8)—21no—
92C4⋊(C59⋊C8)D411yescharacteristic
93C4⋊(C59⋊C8)D411yescharacteristic
94C4⋊(C59⋊C8)D411yescharacteristic
95C4⋊(C59⋊C8)D411yescharacteristic
96#14273654—22no—
97#14273654—22no—
98#14273654—41no—
99#14273654—41no—
100C22⋊(C59⋊C8)—21no—
101C22⋊(C59⋊C8)—21no—
102C22⋊(C59⋊C8)—21no—
103C22⋊(C59⋊C8)—21no—
104#14273638—21no—
105#14273638—21no—
106#14273637—41no—
107C4×C59⋊C8—21no—
108C4×C59⋊C8—21no—
109C8×Dic59—41no—
110C59⋊#95—21no—
111C2×#41×C59C2311yescharacteristic
112C2×#41×C59C2311yescharacteristic
113#135×C59—22no—
114#135×C59—22no—
115C2×Q16×C59C2×C411yescharacteristic
116C2×SD16×C59C2×C411yescharacteristic
117C2×SD16×C59C2×C411yescharacteristic
118C2×D8×C59C2×C411yescharacteristic
119C22×C8×C59C2311yescharacteristic
120C22×C8×C59C2311yescharacteristic
121C4×Q8×C59C2×C411yescharacteristic
122C4×Q8×C59C2×C411yescharacteristic
123C4×Q8×C59C2×C411yescharacteristic
124C4×Q8×C59C2×C411yescharacteristic
125C4×D4×C59—21no—
126C4×D4×C59—21no—
127C4×D4×C59—21no—
128C4×D4×C59—21no—
129C4×D4×C59C2×C411yescharacteristic
130C4×D4×C59C2×C411yescharacteristic
131C4×D4×C59C2×C411yescharacteristic
132C4×D4×C59C2×C411yescharacteristic
133#117×C59—21no—
134#117×C59—21no—
135#117×C59C2311yescharacteristic
136#117×C59C2311yescharacteristic
137C2×C42×C59—21no—
138C2×C42×C59—21no—
139C2×C42×C59C2311yescharacteristic
140#107×C59C2×C411yescharacteristic
141#107×C59C2×C411yescharacteristic
142#106×C59C2×C411yescharacteristic
143#106×C59C2×C411yescharacteristic
144#103×C59C2×C411yescharacteristic
145#103×C59C2×C411yescharacteristic
146#103×C59C2×C411yescharacteristic
147#103×C59C2×C411yescharacteristic
148#102×C59C2×C411yescharacteristic
149#102×C59C2×C411yescharacteristic
150#102×C59C2×C411yescharacteristic
151#102×C59C2×C411yescharacteristic
152#97×C59C2×C411yescharacteristic
153#97×C59C2×C411yescharacteristic
154#97×C59C2×C411yescharacteristic
155#97×C59C2×C411yescharacteristic
156#41×C59—21no—
157#41×C59—21no—
158#41×C59—21no—
159#41×C59—21no—
160#41×C59—21no—
161#41×C59—21no—
162#41×C59#4112yes—
163#41×C59#4112yes—
164C2×Q8×C59C22×C411yescharacteristic
165C2×Q8×C59C22×C411yescharacteristic
166C2×D4×C59—21no—
167C2×D4×C59—21no—
168C2×D4×C59C22×C411yescharacteristic
169C2×D4×C59C22×C411yescharacteristic
170C22×C4×C59—21no—
171C22×C4×C59—21no—
172C22×C4×C59—21no—
173C22×C4×C59—21no—
174C22×C4×C59—21no—
175C22×C4×C59—21no—
176C22×C4×C59#4111yescharacteristic
177C22×C4×C59#4111yescharacteristic
178C22×C4×C59C2411yescharacteristic
179C22×Dic59—21no—
180C22×Dic59—21no—
181Q16×C59—22no—
182SD16×C59—22no—
183SD16×C59—22no—
184D8×C59—22no—
185C2×C8×C59—21no—
186C2×C8×C59—21no—
187C2×C8×C59—21no—
188C2×C8×C59—21no—
189C2×C8×C59C22×C411yescharacteristic
190C2×C8×C59C22×C411yescharacteristic
191C2×C8×C59C22×C411yescharacteristic
192C2×C8×C59C22×C411yescharacteristic
193C4⋊C4×C59—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C4⋊C4×C59—21no—
197C4⋊C4×C59C22×C411yescharacteristic
198C4⋊C4×C59C22×C411yescharacteristic
199C4⋊C4×C59C22×C411yescharacteristic
200C4⋊C4×C59C22×C411yescharacteristic
201C22⋊C4×C59—21no—
202C22⋊C4×C59—21no—
203C22⋊C4×C59—21no—
204C22⋊C4×C59—21no—
205C22⋊C4×C59—21no—
206C22⋊C4×C59—21no—
207C42×C59—21no—
208C42×C59—21no—
209C42×C59—21no—
210C42×C59—21no—
211C42×C59—21no—
212C42×C59—21no—
213C42×C59C22×C411yescharacteristic
214C42×C59C22×C411yescharacteristic
215C42×C59C2×D411yescharacteristic
216C42×C59C2×D411yescharacteristic
217C4⋊Dic59—42no—
218C4×Dic59—21no—
219C4×Dic59—21no—
220C4×Dic59—21no—
221C4×Dic59—21no—
222#11745664—21no—
223#11745664—21no—
224#11745664—21no—
225#11745664—21no—
226#11745664—21no—
227#11745664—21no—
228#11745664—21no—
229#11745664—21no—
230#11745664—42no—
231#11745664—42no—
232C2×C59⋊C8—21no—
233C2×C59⋊C8—21no—
234C2×C59⋊C8—21no—
235C2×C59⋊C8—21no—
236C2×C59⋊C8—21no—
237C2×C59⋊C8—21no—
238C2×C59⋊C8—21no—
239C2×C59⋊C8—21no—
240C2×C59⋊C8—42no—
241C2×C59⋊C8—42no—
242C2×C59⋊C8C2×D411yescharacteristic
243C2×C59⋊C8C2×D411yescharacteristic
244C2×C59⋊C8C2×D411yescharacteristic
245C2×C59⋊C8C2×D411yescharacteristic
246C23×C59—21no—
247C23×C59—21no—
248C23×C59C2×#4111yescharacteristic
249Q8×C59—21no—
250Q8×C59—21no—
251Q8×C59—21no—
252Q8×C59#11712yes—
253D4×C59—22no—
254D4×C59—22no—
255D4×C59—21no—
256D4×C59—21no—
257D4×C59—21no—
258D4×C59—41no—
259D4×C59—41no—
260D4×C59#11712yes—
261C2×C4×C59—21no—
262C2×C4×C59—22no—
263C2×C4×C59—22no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—42no—
272C2×C4×C59—42no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59—81no—
276C2×C4×C59—81no—
277C2×C4×C59C4×D411yescharacteristic
278C2×C4×C59C4×D411yescharacteristic
279C2×C4×C59C4×D411yescharacteristic
280C2×C4×C59C4×D411yescharacteristic
281C2×C4×C59C23×C411yescharacteristic
282C2×C4×C59C22×D411yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59C2×#4111yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C2×C4×C592−1+411yescharacteristic
287C2×Dic59—22no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C8×C59—21no—
294C8×C59—21no—
295C8×C59—21no—
296C8×C59—21no—
297C59⋊C8—21no—
298C59⋊C8—21no—
299C59⋊C8—21no—
300C59⋊C8—21no—
301C59⋊C8—41no—
302C59⋊C8—41no—
303C59⋊C8—41no—
304C59⋊C8—41no—
305#22784—591nomaximal, Sylow
306C22×C59—21no—
307C22×C59—21no—
308C22×C59—22no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59C2×C4×D411yescharacteristic
315C22×C59#55211yescharacteristic
316C22×C59#55311yescharacteristic
317C4×C59—22no—
318C4×C59—21no—
319C4×C59—21no—
320C4×C59—21no—
321C4×C59—21no—
322C4×C59—41no—
323C4×C59—41no—
324C4×C59—41no—
325C4×C59—41no—
326C4×C59—41no—
327C4×C59C2×#11711yescharacteristic
328C4×C59#52011yescharacteristic
329C4×C59#54611yescharacteristic
330C4×C59#54811yescharacteristic
331Dic59—42no—
332Dic59—81no—
333#2943D5911yescharacteristic
334#2925—591no—
335#2906—591no—
336#1938—591no—
337#1937—591no—
338#1922—591no—
339#1922—591no—
340#1876—591no—
341#1876—591no—
342#1838—591no—
343#1806—591no—
344#1806—591no—
345#1771—591no—
346#1765—591no—
347#1764—591no—
348C2×C59—21no—
349C2×C59—21no—
350C2×C59—42no—
351C2×C59—81no—
352C2×C59#235211yescharacteristic
353C2×C59#295511yescharacteristic
354C2×C59#295611yescharacteristic
355C2×#135C2×D5911yescharacteristic
356C2×#131—591no—
357C2×#131—591no—
358C4×#41C2×D5911yescharacteristic
359C4×#41C2×D5911yescharacteristic
360#442Dic5911yescharacteristic, complemented
361#442Dic5911yescharacteristic, complemented
362#441Dic5911yescharacteristic, complemented
363#441Dic5911yescharacteristic, complemented
364#440Dic5911yescharacteristic, complemented
365#440Dic5911yescharacteristic, complemented
366#440Dic5911yescharacteristic, complemented
367#440Dic5911yescharacteristic, complemented
368#433—1181no—
369#433—1181no—
370#432—1181no—
371#431—1181no—
372#427C2×D5911yescharacteristic
373#424—591no—
374#424—591no—
375#424—1181no—
376#424—1181no—
377#423—591no—
378#423—591no—
379#423—1181no—
380C2×C4⋊C8—591no—
381C2×C4⋊C8—1181no—
382C2×#104—591no—
383C2×#104—591no—
384C2×#104—591no—
385C2×#104—591no—
386#416C2×D5911yescharacteristic
387#416C2×D5911yescharacteristic
388#408—591no—
389#408—591no—
390#405—591no—
391#405—591no—
392C2×#97—591no—
393C2×#97C2×D5911yescharacteristic
394C2×C4×C8—591no—
395C4×C4⋊C4—591no—
396#341—591no—
397#341—591no—
398#341—591no—
399#341—591no—
400#339—591no—
401#339—591no—
402#339—591no—
403#339—591no—
404#336—591no—
405#336—591no—
406C59#2278411yescharacteristic, complemented, Sylow
407C2×#41C22×D5911yescharacteristic
408C2×#41C22×D5911yescharacteristic
409#135—22no—
410#135—22no—
411C2×Q16C2×Dic5911yescharacteristic
412C2×SD16C2×Dic5911yescharacteristic
413C2×SD16C2×Dic5911yescharacteristic
414C2×D8C2×Dic5911yescharacteristic
415#131—1182no—
416#131—1182no—
417#131—2361no—
418#131—2361no—
419C2×M16—591no—
420C2×M16—591no—
421C2×M16—591no—
422C2×M16—591no—
423C2×M16—1181no—
424C2×M16—1181no—
425C22×C8—591no—
426C22×C8—591no—
427C22×C8—1181no—
428C22×C8—1181no—
429C22×C8C22×D5911yescharacteristic
430C22×C8C22×D5911yescharacteristic
431C4×Q8C2×Dic5911yescharacteristic
432C4×Q8C2×Dic5911yescharacteristic
433C4×Q8C2×Dic5911yescharacteristic
434C4×Q8C2×Dic5911yescharacteristic
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4C2×Dic5911yescharacteristic
440C4×D4C2×Dic5911yescharacteristic
441C4×D4C2×Dic5911yescharacteristic
442C4×D4C2×Dic5911yescharacteristic
443#117—21no—
444#117—21no—
445#117C22×D5911yescharacteristic
446#117C22×D5911yescharacteristic
447C2×C4⋊C4—1181no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—591no—
451C2×C42—591no—
452C2×C42C22×D5911yescharacteristic
453#107C2×Dic5911yescharacteristic
454#107C2×Dic5911yescharacteristic
455#106C2×Dic5911yescharacteristic
456#106C2×Dic5911yescharacteristic
457C4⋊C8—591no—
458C4⋊C8—591no—
459C4⋊C8—591no—
460C4⋊C8—591no—
461C4⋊C8—1181no—
462C4⋊C8—1181no—
463C4⋊C8—1181no—
464C4⋊C8—1181no—
465C4⋊C8—1181no—
466C4⋊C8—1181no—
467C4⋊C8—1181no—
468C4⋊C8—1181no—
469#104—1182no—
470#104—1182no—
471#104—2361no—
472#104—2361no—
473#103C2×Dic5911yescharacteristic
474#103C2×Dic5911yescharacteristic
475#103C2×Dic5911yescharacteristic
476#103C2×Dic5911yescharacteristic
477#102C2×Dic5911yescharacteristic
478#102C2×Dic5911yescharacteristic
479#102C2×Dic5911yescharacteristic
480#102C2×Dic5911yescharacteristic
481C22⋊C8—1181no—
482C22⋊C8—1181no—
483C22⋊C8—1181no—
484C22⋊C8—1181no—
485#97—1181no—
486#97—1181no—
487#97—2361no—
488#97C2×Dic5911yescharacteristic
489#97C2×Dic5911yescharacteristic
490#97C2×Dic5911yescharacteristic
491#97C2×Dic5911yescharacteristic
492C4×C8—1181no—
493C4×C8—1181no—
494C4×C8—2361no—
495#95—1181no—
496#41—21no—
497#41—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41#1174568512yes—
503#41#1174568512yes—
504C2×Q8C22×Dic5911yescharacteristic
505C2×Q8C22×Dic5911yescharacteristic
506C2×D4—21no—
507C2×D4—21no—
508C2×D4C22×Dic5911yescharacteristic
509C2×D4C22×Dic5911yescharacteristic
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—1181no—
517C22×C4—1181no—
518C22×C4#1174568711yescharacteristic
519C22×C4#1174568711yescharacteristic
520C22×C4C23×D5911yescharacteristic
521Q16—22no—
522SD16—22no—
523SD16—22no—
524D8—22no—
525M16—1181no—
526M16—1181no—
527M16—1181no—
528M16—1181no—
529M16—1181no—
530M16—1181no—
531M16—1181no—
532M16—1181no—
533M16—2362no—
534M16—2362no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—591no—
540C2×C8—591no—
541C2×C8—591no—
542C2×C8—591no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C2×C8—2362no—
552C2×C8—2362no—
553C2×C8C22×Dic5911yescharacteristic
554C2×C8C22×Dic5911yescharacteristic
555C2×C8C22×Dic5911yescharacteristic
556C2×C8C22×Dic5911yescharacteristic
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—2362no—
562C4⋊C4C22×Dic5911yescharacteristic
563C4⋊C4C22×Dic5911yescharacteristic
564C4⋊C4C22×Dic5911yescharacteristic
565C4⋊C4C22×Dic5911yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—1181no—
579C42—1181no—
580C42—1181no—
581C42—1181no—
582C42D4×D5911yescharacteristic
583C42D4×D5911yescharacteristic
584C42C22×Dic5911yescharacteristic
585C42C22×Dic5911yescharacteristic
586C23—21no—
587C23—21no—
588C23C2×#1174568711yescharacteristic
589Q8—21no—
590Q8—21no—
591Q8—21no—
592Q8#1427368612yes—
593D4—22no—
594D4—22no—
595D4—21no—
596D4—21no—
597D4—21no—
598D4—41no—
599D4—41no—
600D4#1427368612yes—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—1182no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4D4×Dic5911yescharacteristic
624C2×C4D4×Dic5911yescharacteristic
625C2×C4D4×Dic5911yescharacteristic
626C2×C4D4×Dic5911yescharacteristic
627C2×C4C23×Dic5911yescharacteristic
628C2×C4C2×D4×D5911yescharacteristic
629C2×C4C2×#1174568511yescharacteristic
630C2×C4C2×#1174568511yescharacteristic
631C2×C4#1427377311yescharacteristic
632C2×C4#1427377411yescharacteristic
633C8—21no—
634C8—21no—
635C8—21no—
636C8—21no—
637C8—1181no—
638C8—1181no—
639C8—1181no—
640C8—1181no—
641C8—2361no—
642C8—2361no—
643C8—2361no—
644C8—2361no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22C2×D4×Dic5911yescharacteristic
654C22#1683809211yescharacteristic
655C22#1683809811yescharacteristic
656C4—22no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—4721no—
667C4—2362no—
668C4C2×#1427368611yescharacteristic
669C4#1683788511yescharacteristic
670C4#1683804811yescharacteristic
671C4#1683806111yescharacteristic
672C2—21no—
673C2—21no—
674C2—42no—
675C2—81no—
676C2#2142702511yescharacteristic
677C2#2143299911yescharacteristic
678C2#2143300611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2943C2
socleC22×C59C2×C4×D4
prime radicalC2×#135×C59C22
cosocleC22×C4×C59C24
hypercenter#2943D59
hypocenterC59#22784
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #21432762C2semidirect
2. #21432664C2semidirect
3. #21424809C2semidirect
4. #21424802C2semidirect
5. #21424697C2semidirect
6. #21424697C2semidirect
9. #21424237C2semidirect
10. #21424116C2semidirect
11. #21424116C2semidirect
12. #21423968C2semidirect
13. #21423943C2semidirect
14. #21423936C2semidirect
55. C59×#442C4semidirect
56. C59×#442C4semidirect
57. C59×#441C4semidirect
58. C59×#441C4semidirect
59. C59×#440C4semidirect
60. C59×#440C4semidirect
61. C59×#440C4semidirect
62. C59×#440C4semidirect
360. #442Dic59semidirect
361. #442Dic59semidirect
362. #441Dic59semidirect
363. #441Dic59semidirect
364. #440Dic59semidirect
365. #440Dic59semidirect
366. #440Dic59semidirect
367. #440Dic59semidirect
406. C59#22784semidirect

Maximal subgroups

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

subgroupindex
#214327622
#214326642
#214248092
#214248022
#214246972
#214244252
#214242372
#214241162
#214239682
#214239432
#214239362
C59×#29432
#2278459