Finite Group Databasebeta

← #28649275

Subgroups — #28649275

Order 15104.

844 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21427514C211yesmaximal, characteristic
2#21425663C211yesmaximal, characteristic, complemented
3#21425532C211yesmaximal, characteristic, complemented
4#21425510C211yesmaximal, characteristic, complemented
5#21425278C211yesmaximal, characteristic, complemented
6#21424723C211yesmaximal, characteristic, complemented
7#21424667C211yesmaximal, characteristic, complemented
8#21424522C211yesmaximal, characteristic, complemented
9#21424418C211yesmaximal, characteristic, complemented
10#21424413C211yesmaximal, characteristic, complemented
11#21424389C211yesmaximal, characteristic, complemented
12#21424293C211yesmaximal, characteristic, complemented
13#21424186C211yesmaximal, characteristic, complemented
14#21423812C211yesmaximal, characteristic, complemented
15C59×#2352C211yesmaximal, characteristic, complemented
16C23×C59⋊C8C2211yescharacteristic
17C2×#14273701C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20C2×#14273660C2211yescharacteristic
21C2×#14273658C2211yescharacteristic
22C2×#14273647C2211yescharacteristic
23C2×#14273647C2211yescharacteristic
24C2×#14273647C2211yescharacteristic
25C2×#14273647C2211yescharacteristic
26C2×C22⋊(C59⋊C8)C2211yescharacteristic
27C2×C22⋊(C59⋊C8)C2211yescharacteristic
28C2×C22⋊(C59⋊C8)C2211yescharacteristic
29#16837317—21no—
30#16837310—21no—
31#16837304C2211yescharacteristic
32#16837302—21no—
33#16837300C2211yescharacteristic
34#16837292—21no—
35#16837262C2211yescharacteristic
36#16837164C2211yescharacteristic
37#16837164C2211yescharacteristic
38#16837164C2211yescharacteristic
39#16837164C2211yescharacteristic
40#16837164C2211yescharacteristic
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837157C2211yescharacteristic
47#16837157C2211yescharacteristic
48C2×C4×D4×C59C2211yescharacteristic
49C2×#117×C59C2211yescharacteristic
50C22×C4⋊C4×C59C2211yescharacteristic
51C59×#388—21no—
52C59×#387—21no—
53C59×#386—21no—
54C59×#382C2211yescharacteristic
55C59×#380C2211yescharacteristic
56C59×#380C2211yescharacteristic
57C4×C4⋊C4×C59C2211yescharacteristic
58C4×C22⋊C4×C59—21no—
59C22×D236C2311yescharacteristic
60C22×C22⋊D59—21no—
61C22×C22⋊D59—21no—
62C22×C59⋊C8—22no—
63C22×C59⋊C8—41no—
64C22×C59⋊C8—41no—
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69#14273701—22no—
70#14273701—22no—
71#14273701—22no—
72#14273701—41no—
73#14273686—22no—
74#14273686—41no—
75C2×C4⋊Dic59C2311yescharacteristic
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×Dic59⋊C4—21no—
79C2×C22⋊Dic59—21no—
80C2×C22⋊Dic59—21no—
81C2×(C2×D59)⋊C4—21no—
82C2×(C2×D59)⋊C4—21no—
83C2×(C2×D59)⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×C4×Dic59—21no—
86#14273660—22no—
87#14273658—41no—
88#14273647—22no—
89#14273647—41no—
90#14273647—41no—
91#14273647—41no—
92C22⋊(C59⋊C8)—22no—
93C22⋊(C59⋊C8)—41no—
94C22⋊(C59⋊C8)—41no—
95C59⋊#95—21no—
96C59⋊#95—21no—
97C22×D4×C59D411yescharacteristic
98C23×C4×C59—21no—
99C23×C4×C59C2311yescharacteristic
100C23×C4×C59C2311yescharacteristic
101C4×D4×C59—22no—
102C4×D4×C59—22no—
103#117×C59—22no—
104#117×C59—41no—
105C2×C4⋊C4×C59—22no—
106C2×C4⋊C4×C59—21no—
107C2×C4⋊C4×C59—41no—
108C2×C4⋊C4×C59D411yescharacteristic
109C2×C4⋊C4×C59C2311yescharacteristic
110C2×C4⋊C4×C59C2311yescharacteristic
111C2×C4⋊C4×C59C2311yescharacteristic
112C2×C4⋊C4×C59C2311yescharacteristic
113C2×C22⋊C4×C59—21no—
114C2×C22⋊C4×C59—21no—
115C2×C22⋊C4×C59—21no—
116C2×C22⋊C4×C59D411yescharacteristic
117C2×C22⋊C4×C59D411yescharacteristic
118C2×C42×C59—21no—
119C2×C42×C59—21no—
120C2×C42×C59C2311yescharacteristic
121#95×C59—21no—
122#95×C59—21no—
123#95×C59—21no—
124#95×C59—21no—
125#95×C59—21no—
126C24×C59C2×D411yescharacteristic
127C24×C59C2×D411yescharacteristic
128C23×D59—21no—
129C2×D4×C59—22no—
130C2×D4×C59—22no—
131C2×D4×C59—41no—
132C22×C4×C59—21no—
133C22×C4×C59—21no—
134C22×C4×C59—21no—
135C22×C4×C59—21no—
136C22×C4×C59—21no—
137C22×C4×C59—21no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—42no—
147C22×C4×C59—42no—
148C22×C4×C59—81no—
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59#4112yes—
154C22×C4×C59#4112yes—
155C22×C4×C59C2411yescharacteristic
156C2×C22⋊D59—42no—
157C2×C22⋊D59—42no—
158C2×C22⋊D59—42no—
159C2×C22⋊D59—81no—
160C2×C22⋊D59—81no—
161C2×C22⋊D59—81no—
162C22×Dic59—21no—
163C22×Dic59—21no—
164C22×Dic59—21no—
165C2×D236—21no—
166C2×D236—21no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236—21no—
171C4⋊C4×C59—22no—
172C4⋊C4×C59—21no—
173C4⋊C4×C59—21no—
174C4⋊C4×C59—21no—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—42no—
180C4⋊C4×C59#4112yes—
181C22⋊C4×C59—22no—
182C22⋊C4×C59—22no—
183C22⋊C4×C59—42no—
184C22⋊C4×C59—42no—
185C22⋊C4×C59—81no—
186C42×C59—21no—
187C42×C59—21no—
188C42×C59—42no—
189C42×C59—81no—
190C22⋊Dic59—42no—
191C22⋊Dic59—81no—
192(C2×D59)⋊C4—42no—
193(C2×D59)⋊C4—42no—
194(C2×D59)⋊C4—42no—
195(C2×D59)⋊C4—81no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59#4112yes—
202Dic59⋊C4—81no—
203C4×Dic59—42no—
204C2×C59⋊C8—21no—
205C2×C59⋊C8—21no—
206C2×C59⋊C8—21no—
207C2×C59⋊C8—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—44no—
217C23×C59—21no—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59#12312yes—
230C23×C59#13512yes—
231C23×C59C22×D411yescharacteristic
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239D4×C59—44no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—22no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—84no—
272C2×C4×C59#12312yes—
273C2×C4×C59C2×#4111yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59H(5,𝔽2)11yescharacteristic
278C2×C4×C59H(5,𝔽2)11yescharacteristic
279C22⋊D59—84no—
280C22⋊D59—84no—
281C2×Dic59—22no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290D236—41no—
291D236—41no—
292D236—41no—
293D236—41no—
294C59⋊C8—41no—
295C59⋊C8—41no—
296C59⋊C8—41no—
297C59⋊C8—41no—
298#26199—591nomaximal, Sylow
299C22×C59—22no—
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59C2×#12311yescharacteristic
314C22×C59#54611yescharacteristic
315C22×C59#54611yescharacteristic
316C22×C59C2×#13511yescharacteristic
317C22×C59#57511yescharacteristic
318C22×C59#57611yescharacteristic
319C22×C59#57711yescharacteristic
320C2×D59—81no—
321C2×D59—81no—
322C2×D59—81no—
323C2×D59—81no—
324C2×D59—81no—
325C2×D59—81no—
326C2×D59—81no—
327C4×C59—22no—
328C4×C59—41no—
329C4×C59—41no—
330C4×C59—41no—
331C4×C59—42no—
332C4×C59—81no—
333C4×C59—81no—
334C4×C59—81no—
335C4×C59#52911yescharacteristic
336C4×C59#53811yescharacteristic
337C4×C59#55311yescharacteristic
338C4×C59#55311yescharacteristic
339Dic59—42no—
340Dic59—81no—
341Dic59—81no—
342#2414—591no—
343#2352D5911yescharacteristic, complemented
344#2101—591no—
345#2077—591no—
346#2073—591no—
347#2033—591no—
348#1926—591no—
349#1918—591no—
350#1893—591no—
351#1875—591no—
352#1874—591no—
353#1869—591no—
354#1854—591no—
355#1824—591no—
356#1735—591no—
357C2×C59—42no—
358C2×C59—42no—
359C2×C59#244411yescharacteristic
360C2×C59#309111yescharacteristic
361C2×C59#309611yescharacteristic
362C2×C59#329711yescharacteristic
363C2×C59#330111yescharacteristic
364C2×C59#331711yescharacteristic
365C2×C59#331911yescharacteristic
366D59—161no—
367C23×C8—591no—
368C2×#121—591no—
369C2×#121—591no—
370C2×C4×D4C2×D5911yescharacteristic
371C2×#117—591no—
372C2×#117C2×D5911yescharacteristic
373C22×C4⋊C4C2×D5911yescharacteristic
374C2×#107—591no—
375C2×#106—591no—
376C2×#102—591no—
377C2×#102—591no—
378C2×#102—591no—
379C2×#102—591no—
380C2×C22⋊C8—591no—
381C2×C22⋊C8—591no—
382C2×C22⋊C8—591no—
383#394—1181no—
384#392—1181no—
385#390—591no—
386#390—1181no—
387#389—591no—
388#388—21no—
389#388—1181no—
390#387—21no—
391#386—21no—
392#382C2×D5911yescharacteristic
393#380—591no—
394#380C2×D5911yescharacteristic
395#380C2×D5911yescharacteristic
396C4×C4⋊C4C2×D5911yescharacteristic
397C4×C22⋊C4—21no—
398#340—591no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408#336—591no—
409#336—591no—
410C59#2619911yescharacteristic, complemented, Sylow
411C22×D4—591no—
412C22×D4—1181no—
413C22×D4—1181no—
414C22×D4C22⋊D5911yescharacteristic
415C23×C4—21no—
416C23×C4C22×D5911yescharacteristic
417C23×C4C22×D5911yescharacteristic
418C22×C8—591no—
419C22×C8—591no—
420C22×C8—591no—
421C22×C8—591no—
422C22×C8—1182no—
423C22×C8—2361no—
424C22×C8—2361no—
425#121—1182no—
426#121—1182no—
427#121—1182no—
428#121—2361no—
429C4×D4—22no—
430C4×D4—22no—
431#117—22no—
432#117—41no—
433#117—1182no—
434#117—2361no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—41no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4C22⋊D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C4⋊C4C22×D5911yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4C22⋊D5911yescharacteristic
457C2×C22⋊C4C22⋊D5911yescharacteristic
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—1181no—
461C2×C42C22×D5911yescharacteristic
462#107—1182no—
463#106—2361no—
464#102—1182no—
465#102—2361no—
466#102—2361no—
467#102—2361no—
468C22⋊C8—1182no—
469C22⋊C8—2361no—
470C22⋊C8—2361no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—1181no—
477#95—1181no—
478C24—1181no—
479C24C2×C22⋊D5911yescharacteristic
480C24C2×C22⋊D5911yescharacteristic
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—41no—
484C2×D4—1181no—
485C2×D4—1181no—
486C2×D4—1181no—
487C2×D4—1181no—
488C2×D4—1181no—
489C2×D4—1181no—
490C2×D4—4721no—
491C2×D4—4721no—
492C2×D4—4721no—
493C2×D4—2362no—
494C2×D4—2362no—
495C2×D4—2362no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—81no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4#1174568512yes—
517C22×C4#1174568512yes—
518C22×C4C2×C22⋊D5911yescharacteristic
519C22×C4C2×C22⋊D5911yescharacteristic
520C22×C4C2×C22⋊D5911yescharacteristic
521C22×C4C2×C22⋊D5911yescharacteristic
522C22×C4C23×D5911yescharacteristic
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—1181no—
527C2×C8—1181no—
528C2×C8—1181no—
529C2×C8—1181no—
530C2×C8—1181no—
531C2×C8—1181no—
532C2×C8—1181no—
533C2×C8—1181no—
534C2×C8—1181no—
535C2×C8—2364no—
536C4⋊C4—22no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—592no—
546C4⋊C4—1181no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—4721no—
552C4⋊C4#1174568712yes—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—81no—
558C22⋊C4—4721no—
559C22⋊C4—4721no—
560C22⋊C4—2362no—
561C22⋊C4—2362no—
562C22⋊C4—2362no—
563C22⋊C4—2362no—
564C42—21no—
565C42—21no—
566C42—42no—
567C42—81no—
568C42—2362no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—2361no—
582C23—2361no—
583C23—2361no—
584C23—2361no—
585C23—2361no—
586C23—2361no—
587C23—2361no—
588C23#1427371012yes—
589C23#1427374712yes—
590C23C22×C22⋊D5911yescharacteristic
591D4—44no—
592D4—4724no—
593D4—4724no—
594D4—2361no—
595D4—2361no—
596D4—2361no—
597D4—2361no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—84no—
630C2×C4—1182no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4#1427371012yes—
640C2×C4#41×D5911yescharacteristic
641C2×C4C2×#1174568711yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C2×C4C2×#1174568511yescharacteristic
644C2×C4#1427377211yescharacteristic
645C2×C4#1427377311yescharacteristic
646C8—2361no—
647C8—2361no—
648C8—2361no—
649C8—2361no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22—41no—
664C22—4721no—
665C22—4721no—
666C22—4721no—
667C22—4721no—
668C22—4721no—
669C22—4721no—
670C22—4721no—
671C22C2×#1427371011yescharacteristic
672C22#1683804011yescharacteristic
673C22#1683804611yescharacteristic
674C22C2×#1427374711yescharacteristic
675C22#1683820011yescharacteristic
676C22#1683820511yescharacteristic
677C22#1683821011yescharacteristic
678C4—22no—
679C4—42no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4—4721no—
687C4—4721no—
688C4—2362no—
689C4#1683793211yescharacteristic
690C4#1683798511yescharacteristic
691C4#1683809811yescharacteristic
692C4#1683810111yescharacteristic
693C2—42no—
694C2—42no—
695C2—9441no—
696C2#2142784011yescharacteristic
697C2#2143400911yescharacteristic
698C2#2143405411yescharacteristic
699C2#2143594011yescharacteristic
700C2#2143599811yescharacteristic
701C2#2143621611yescharacteristic
702C2#2143625211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2352C2
socleC23×C59C22×D4
prime radical#21427514C2
hypercenter#2352D59
hypocenterC59#26199
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. #21425663C2semidirect
3. #21425532C2semidirect
4. #21425510C2semidirect
5. #21425278C2semidirect
6. #21424723C2semidirect
7. #21424667C2semidirect
8. #21424522C2semidirect
9. #21424418C2semidirect
10. #21424413C2semidirect
11. #21424389C2semidirect
12. #21424293C2semidirect
13. #21424186C2semidirect
14. #21423812C2semidirect
15. C59×#2352C2semidirect
343. #2352D59semidirect
410. C59#26199semidirect

Maximal subgroups

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

subgroupindex
#214275142
#214256632
#214255322
#214255102
#214252782
#214247232
#214246672
#214245222
#214244182
#214244132
#214243892
#214242932
#214241862
#214238122
C59×#23522
#2619959