Finite Group Databasebeta

← #28627189

Subgroups — #28627189

Order 15104.

992 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837735C211yesmaximal, characteristic, complemented
2C2×#16837403C211yesmaximal, characteristic
3#21426963C211yesmaximal, characteristic, complemented
4#21425491C211yesmaximal, characteristic, complemented
5#21425484C211yesmaximal, characteristic, complemented
6#21425339C211yesmaximal, characteristic, complemented
7#21425332C211yesmaximal, characteristic, complemented
8#21425029C211yesmaximal, characteristic, complemented
9#21425020C211yesmaximal, characteristic, complemented
10#21424734C211yesmaximal, characteristic, complemented
11#21424713C211yesmaximal, characteristic, complemented
12#21424530C211yesmaximal, characteristic, complemented
13#21424281C211yesmaximal, characteristic, complemented
14#21424036C211yesmaximal, characteristic
15C59×#2432C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C2×#14273683—21no—
18C22×C4⋊Dic59C2211yescharacteristic
19#16837735—24no—
20C2×#14273660C2211yescharacteristic
21C2×#14273660C2211yescharacteristic
22C2×C4⋊(C59⋊C8)C2211yescharacteristic
23C2×C4⋊(C59⋊C8)C2211yescharacteristic
24#16837403—24no—
25C2×#14273651C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×#14273651C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×#14273648C2211yescharacteristic
36C2×#14273648C2211yescharacteristic
37C2×C22⋊(C59⋊C8)C2211yescharacteristic
38#16837300C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837287—21no—
41#16837287—21no—
42#16837263—21no—
43#16837262C2211yescharacteristic
44C4×C4⋊Dic59C2211yescharacteristic
45C4×C4⋊Dic59C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C22×#41×C59C2211yescharacteristic
51C2×C4⋊Q8×C59C2211yescharacteristic
52C2×#124×C59C2211yescharacteristic
53C2×C22⋊Q8×C59C2211yescharacteristic
54C59×#394—21no—
55C59×#394—21no—
56C59×#391C2211yescharacteristic
57C59×#390C2211yescharacteristic
58C59×#385—21no—
59C59×#385—21no—
60C4×C22⋊C4×C59C2211yescharacteristic
61C23×Dic59—21no—
62C2×#11745664—22no—
63C2×#11745664—41no—
64C2×#11745664—41no—
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69#14273683—44no—
70C2×C4⋊Dic59—21no—
71C2×C4⋊Dic59—22no—
72C2×C4⋊Dic59D414yes—
73C2×C4⋊Dic59C2311yescharacteristic
74C2×C4⋊Dic59C2311yescharacteristic
75C2×C4⋊Dic59C2311yescharacteristic
76C2×C4⋊Dic59C2311yescharacteristic
77C2×Dic59⋊C4—21no—
78C2×Dic59⋊C4—21no—
79C2×C22⋊Dic59—21no—
80C2×C4×Dic59—21no—
81C2×C4×Dic59—21no—
82#14273660—22no—
83#14273660—22no—
84C4⋊(C59⋊C8)—41no—
85C4⋊(C59⋊C8)—41no—
86#14273651—22no—
87#14273651—22no—
88#14273651—22no—
89#14273651—22no—
90#14273651—22no—
91#14273651—41no—
92#14273651—41no—
93#14273651—41no—
94#14273648—22no—
95#14273648—22no—
96#14273648—22no—
97#14273648—41no—
98C22⋊(C59⋊C8)—22no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C2×#41×C59—22no—
105C2×#41×C59—22no—
106C2×#41×C59—22no—
107C2×#41×C59—22no—
108C2×#41×C59—41no—
109C2×#41×C59—41no—
110C22×Q8×C59C2311yescharacteristic
111C22×Q8×C59C2311yescharacteristic
112C22×D4×C59—21no—
113C22×D4×C59C2311yescharacteristic
114C23×C4×C59—21no—
115C23×C4×C59C2311yescharacteristic
116C4⋊Q8×C59—22no—
117C4⋊Q8×C59—41no—
118#124×C59—22no—
119#124×C59—41no—
120C22⋊Q8×C59—22no—
121C22⋊Q8×C59—22no—
122C2×C4⋊C4×C59—21no—
123C2×C4⋊C4×C59—21no—
124C2×C4⋊C4×C59—21no—
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59—21no—
130C2×C22⋊C4×C59—21no—
131C2×C22⋊C4×C59D411yescharacteristic
132C2×C22⋊C4×C59D411yescharacteristic
133C2×C42×C59C2311yescharacteristic
134C2×C42×C59C2311yescharacteristic
135#95×C59—21no—
136#95×C59—21no—
137#95×C59D411yescharacteristic
138#95×C59D411yescharacteristic
139C24×C59—21no—
140C24×C59C2×D411yescharacteristic
141#41×C59—28no—
142#41×C59—44no—
143#41×C59—44no—
144#41×C59—44no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59—21no—
148C2×Q8×C59—21no—
149C2×Q8×C59—21no—
150C2×Q8×C59—21no—
151C2×Q8×C59—21no—
152C2×Q8×C59—21no—
153C2×Q8×C59—21no—
154C2×Q8×C59—21no—
155C2×Q8×C59—21no—
156C2×Q8×C59#4112yes—
157C2×D4×C59—21no—
158C2×D4×C59—21no—
159C2×D4×C59—21no—
160C2×D4×C59—21no—
161C2×D4×C59—21no—
162C2×D4×C59—42no—
163C2×D4×C59—42no—
164C2×D4×C59—42no—
165C2×D4×C59#4112yes—
166C22×C4×C59—21no—
167C22×C4×C59—21no—
168C22×C4×C59—21no—
169C22×C4×C59—21no—
170C22×C4×C59—21no—
171C22×C4×C59—21no—
172C22×C4×C59—21no—
173C22×C4×C59—42no—
174C22×C4×C59—42no—
175C22×C4×C59—42no—
176C22×C4×C59C2×D411yescharacteristic
177C22×C4×C59C2×D411yescharacteristic
178C22×C4×C59C2×D411yescharacteristic
179C22×C4×C59C2×D411yescharacteristic
180C22×C4×C59C2×D412yes—
181C22×C4×C59C2×D411yescharacteristic
182C22×C4×C59#4112yes—
183C22×C4×C59C2411yescharacteristic
184C22×Dic59—24no—
185C22×Dic59—21no—
186C22×Dic59—21no—
187C22×Dic59—21no—
188C22×Dic59—21no—
189C22×Dic59—42no—
190C22×Dic59—42no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—42no—
194C4⋊C4×C59—42no—
195C4⋊C4×C59—42no—
196C22⋊C4×C59—22no—
197C22⋊C4×C59—41no—
198C22⋊C4×C59—42no—
199C22⋊C4×C59—42no—
200C22⋊C4×C59—42no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—42no—
203C42×C59—21no—
204C42×C59—21no—
205C42×C59—21no—
206C42×C59—21no—
207C22⋊Dic59—42no—
208C4⋊Dic59—24no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59C2×D412yes—
216C4⋊Dic59C2×D412yes—
217Dic59⋊C4—42no—
218Dic59⋊C4—42no—
219C4×Dic59—42no—
220C4×Dic59—42no—
221#11745664—44no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8—21no—
233C2×C59⋊C8—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—21no—
240C23×C59—22no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59—41no—
246C23×C59—41no—
247C23×C59#12112yes—
248C23×C59C22×D411yescharacteristic
249Q8×C59—22no—
250Q8×C59—22no—
251Q8×C59—41no—
252Q8×C59—41no—
253Q8×C59—41no—
254Q8×C59—41no—
255Q8×C59—41no—
256Q8×C59—41no—
257D4×C59—22no—
258D4×C59—22no—
259D4×C59—48no—
260D4×C59—41no—
261D4×C59—41no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—22no—
269C2×C4×C59—22no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
272C2×C4×C59—21no—
273C2×C4×C59—22no—
274C2×C4×C59—21no—
275C2×C4×C59—21no—
276C2×C4×C59—21no—
277C2×C4×C59—21no—
278C2×C4×C59—21no—
279C2×C4×C59—21no—
280C2×C4×C59—48no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59—41no—
284C2×C4×C59—41no—
285C2×C4×C59—41no—
286C2×C4×C59—41no—
287C2×C4×C59—41no—
288C2×C4×C59—41no—
289C2×C4×C59#12112yes—
290C2×C4×C59AGL(1,ℤ/8)12yes—
291C2×C4×C59C22×D411yescharacteristic
292C2×C4×C59C2×#4111yescharacteristic
293C2×C4×C59C2×#4111yescharacteristic
294C2×C4×C59C2×#4111yescharacteristic
295C2×C4×C59H(5,𝔽2)11yescharacteristic
296C2×C4×C59H(5,𝔽2)11yescharacteristic
297C2×Dic59—22no—
298C2×Dic59—22no—
299C2×Dic59—48no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302C2×Dic59—41no—
303C2×Dic59—41no—
304C2×Dic59—41no—
305C2×Dic59—41no—
306C2×Dic59—41no—
307C2×Dic59—41no—
308C2×Dic59—41no—
309C2×Dic59—41no—
310C59⋊C8—41no—
311C59⋊C8—41no—
312C59⋊C8—41no—
313C59⋊C8—41no—
314#24489—591nomaximal, Sylow
315C22×C59—22no—
316C22×C59—22no—
317C22×C59—22no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59—42no—
323C22×C59—42no—
324C22×C59—42no—
325C22×C59—81no—
326C22×C59—81no—
327C22×C59—81no—
328C22×C59—81no—
329C22×C59C2×#12111yescharacteristic
330C22×C59#54611yescharacteristic
331C22×C59#54611yescharacteristic
332C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C59#57511yescharacteristic
334C22×C59#57811yescharacteristic
335C22×C59#57811yescharacteristic
336C4×C59—22no—
337C4×C59—22no—
338C4×C59—41no—
339C4×C59—42no—
340C4×C59—41no—
341C4×C59—41no—
342C4×C59—81no—
343C4×C59—81no—
344C4×C59#52511yescharacteristic
345C4×C59#53511yescharacteristic
346C4×C59#55111yescharacteristic
347C4×C59#55111yescharacteristic
348Dic59—42no—
349Dic59—42no—
350Dic59—81no—
351Dic59—81no—
352C2×#484—591no—
353C2×#417—591no—
354#2432D5911yescharacteristic
355#2344—591no—
356#2068—591no—
357#2067—591no—
358#2043—591no—
359#2042—591no—
360#1983—591no—
361#1981—591no—
362#1928—591no—
363#1925—591no—
364#1894—591no—
365#1851—591no—
366#1788—591no—
367C2×C59—42no—
368C2×C59—82no—
369C2×C59#241111yescharacteristic
370C2×C59#303611yescharacteristic
371C2×C59#304411yescharacteristic
372C2×C59#330811yescharacteristic
373C2×C59#331511yescharacteristic
374C2×C59#332711yescharacteristic
375C2×C59#333011yescharacteristic
376C22×#41C2×D5911yescharacteristic
377C22×M16—591no—
378C2×C4⋊Q8C2×D5911yescharacteristic
379C2×#124C2×D5911yescharacteristic
380C2×C22⋊Q8C2×D5911yescharacteristic
381C2×#117—1181no—
382C22×C4⋊C4—591no—
383#484—1184no—
384C2×#107—591no—
385C2×#107—591no—
386C2×C4⋊C8—591no—
387C2×C4⋊C8—591no—
388#417—1184no—
389C2×#103—591no—
390C2×#103—591no—
391C2×#103—591no—
392C2×#103—591no—
393C2×#103—591no—
394C2×#103—591no—
395C2×#103—591no—
396C2×#103—591no—
397C2×#102—591no—
398C2×#102—591no—
399C2×#102—591no—
400C2×#102—591no—
401C2×C22⋊C8—591no—
402#394—21no—
403#394—21no—
404#391C2×D5911yescharacteristic
405#390C2×D5911yescharacteristic
406#389—591no—
407#389—591no—
408#387—1181no—
409#387—1181no—
410#385—21no—
411#385—21no—
412#381—1181no—
413#380—591no—
414C4×C4⋊C4—591no—
415C4×C4⋊C4—591no—
416C4×C22⋊C4C2×D5911yescharacteristic
417#340—591no—
418#340—591no—
419#336—591no—
420#336—591no—
421C59#2448911yescharacteristic, complemented, Sylow
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—41no—
427C2×#41—41no—
428C22×Q8C22×D5911yescharacteristic
429C22×Q8C22×D5911yescharacteristic
430C22×D4—21no—
431C22×D4C22×D5911yescharacteristic
432C23×C4—21no—
433C23×C4—1181no—
434C23×C4C22×D5911yescharacteristic
435C2×M16—1182no—
436C2×M16—2361no—
437C2×M16—2361no—
438C22×C8—591no—
439C22×C8—591no—
440C22×C8—591no—
441C22×C8—591no—
442C4⋊Q8—22no—
443C4⋊Q8—41no—
444#124—22no—
445#124—41no—
446C22⋊Q8—22no—
447C22⋊Q8—22no—
448#117—2364no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—594no—
453C2×C4⋊C4—591no—
454C2×C4⋊C4—591no—
455C2×C4⋊C4—591no—
456C2×C4⋊C4—591no—
457C2×C4⋊C4—1182no—
458C2×C4⋊C4—1181no—
459C2×C4⋊C4—1181no—
460C2×C4⋊C4—1181no—
461C2×C4⋊C4C22×D5911yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—1181no—
468C2×C22⋊C4C22⋊D5911yescharacteristic
469C2×C22⋊C4C22⋊D5911yescharacteristic
470C2×C42—1181no—
471C2×C42—1181no—
472C2×C42C22×D5911yescharacteristic
473C2×C42C22×D5911yescharacteristic
474#107—1182no—
475#107—1182no—
476C4⋊C8—2361no—
477C4⋊C8—2361no—
478#103—1182no—
479#103—1182no—
480#103—1182no—
481#103—1182no—
482#103—1182no—
483#103—2361no—
484#103—2361no—
485#103—2361no—
486#102—1182no—
487#102—1182no—
488#102—1182no—
489#102—2361no—
490C22⋊C8—1182no—
491#95—21no—
492#95—21no—
493#95—1181no—
494#95—1181no—
495#95—1181no—
496#95—1181no—
497#95—1181no—
498#95C22⋊D5911yescharacteristic
499#95C22⋊D5911yescharacteristic
500C24—21no—
501C24C2×C22⋊D5911yescharacteristic
502#41—28no—
503#41—44no—
504#41—44no—
505#41—44no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8#1174568712yes—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4#1174568712yes—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—1184no—
538C22×C4—1181no—
539C22×C4—1181no—
540C22×C4—1181no—
541C22×C4—1181no—
542C22×C4—2362no—
543C22×C4—2362no—
544C22×C4D4×D5912yes—
545C22×C4#1174568712yes—
546C22×C4C2×C22⋊D5911yescharacteristic
547C22×C4C2×C22⋊D5911yescharacteristic
548C22×C4C2×C22⋊D5911yescharacteristic
549C22×C4C2×C22⋊D5911yescharacteristic
550C22×C4C2×C22⋊D5911yescharacteristic
551C22×C4C23×D5911yescharacteristic
552M16—2364no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—1181no—
561C2×C8—1181no—
562C2×C8—1181no—
563C2×C8—1181no—
564C2×C8—1181no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—592no—
571C4⋊C4—592no—
572C4⋊C4—1184no—
573C4⋊C4—1181no—
574C4⋊C4—1181no—
575C4⋊C4—1181no—
576C4⋊C4—1181no—
577C4⋊C4—1181no—
578C4⋊C4—1181no—
579C4⋊C4—2362no—
580C4⋊C4—2362no—
581C22⋊C4—22no—
582C22⋊C4—41no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—2362no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—2362no—
594C42—2362no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23#1427369812yes—
609C23C22×C22⋊D5911yescharacteristic
610Q8—22no—
611Q8—22no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618D4—22no—
619D4—22no—
620D4—48no—
621D4—41no—
622D4—41no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—48no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—1182no—
651C2×C4—1182no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4—2361no—
657C2×C4—2361no—
658C2×C4—2368no—
659C2×C4—2361no—
660C2×C4—2361no—
661C2×C4—2361no—
662C2×C4—2361no—
663C2×C4#1427369812yes—
664C2×C4#1427375212yes—
665C2×C4C2×D4×D5911yescharacteristic
666C2×C4C2×#1174568711yescharacteristic
667C2×C4C2×#1174568711yescharacteristic
668C2×C4C2×#1174568711yescharacteristic
669C2×C4#1427377211yescharacteristic
670C2×C4#1427377211yescharacteristic
671C8—2361no—
672C8—2361no—
673C8—2361no—
674C8—2361no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#1427369811yescharacteristic
690C22#1683804611yescharacteristic
691C22#1683804611yescharacteristic
692C22C2×#1427375211yescharacteristic
693C22#1683820011yescharacteristic
694C22#1683821711yescharacteristic
695C22#1683821711yescharacteristic
696C4—22no—
697C4—22no—
698C4—42no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4—4721no—
705C4—4721no—
706C4—2362no—
707C4—2362no—
708C4#1683790811yescharacteristic
709C4#1683796711yescharacteristic
710C4#1683808311yescharacteristic
711C4#1683808311yescharacteristic
712C2—42no—
713C2—82no—
714C2#2142747711yescharacteristic
715C2#2143355611yescharacteristic
716C2#2143362211yescharacteristic
717C2#2143608711yescharacteristic
718C2#2143619211yescharacteristic
719C2#2143636411yescharacteristic
720C2#2143640111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2432C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
hypercenter#2432D59
hypocenterC59#24489
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2432

Complements

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

NH ≅ G/Ntype
1. C2×#16837735C2semidirect
3. #21426963C2semidirect
4. #21425491C2semidirect
5. #21425484C2semidirect
6. #21425339C2semidirect
7. #21425332C2semidirect
8. #21425029C2semidirect
9. #21425020C2semidirect
10. #21424734C2semidirect
11. #21424713C2semidirect
12. #21424530C2semidirect
13. #21424281C2semidirect
421. C59#24489semidirect

Maximal subgroups

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

subgroupindex
C2×#168377352
C2×#168374032
#214269632
#214254912
#214254842
#214253392
#214253322
#214250292
#214250202
#214247342
#214247132
#214245302
#214242812
#214240362
C59×#24322
#2448959