Finite Group Databasebeta

← #28496875

Subgroups — #28496875

Order 15104.

814 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273660C211yesmaximal, characteristic
2C2×#16837164C211yesmaximal, characteristic
3C2×#16837164C211yesmaximal, characteristic
4C2×#16837164C211yesmaximal, characteristic
5C2×#16837157C211yesmaximal, characteristic
6#21422326C211yesmaximal, characteristic
7C59×C4⋊#95C211yesmaximal, characteristic
8C23×C59⋊C8C2211yescharacteristic
9C23×C59⋊C8C2211yescharacteristic
10C22×C4⋊Dic59C2211yescharacteristic
11C22×C4⋊Dic59C2211yescharacteristic
12C2×#14273660—22no—
13C2×#14273660—22no—
14C2×#14273660—22no—
15C2×C59⋊#95—21no—
16C2×C59⋊#95—21no—
17#16837164—22no—
18#16837164—22no—
19#16837164C414yescomplemented
20#16837157—22no—
21C22×C4⋊C4×C59C2211yescharacteristic
22C22×C4⋊C4×C59C2211yescharacteristic
23C22×C42×C59C2211yescharacteristic
24C2×#95×C59—21no—
25C2×#95×C59—21no—
26C23×Dic59—21no—
27C23×Dic59—21no—
28C22×C59⋊C8—21no—
29C22×C59⋊C8—21no—
30C22×C59⋊C8—21no—
31C22×C59⋊C8—21no—
32C22×C59⋊C8—21no—
33C22×C59⋊C8—21no—
34C22×C59⋊C8—21no—
35C22×C59⋊C8—21no—
36C22×C59⋊C8—21no—
37C22×C59⋊C8—21no—
38C22×C59⋊C8C2×C412yes—
39C22×C59⋊C8D412yes—
40C22×C59⋊C8Q812yes—
41C22×C59⋊C8Q812yes—
42C2×C4⋊Dic59—21no—
43C2×C4⋊Dic59—21no—
44C2×C4⋊Dic59—21no—
45C2×C4⋊Dic59—21no—
46C2×C4⋊Dic59—21no—
47C2×C4⋊Dic59—21no—
48C2×C4⋊Dic59—21no—
49C2×C4⋊Dic59—21no—
50C2×C4⋊Dic59—21no—
51C2×C4⋊Dic59—21no—
52C2×C4⋊Dic59C2×C412yes—
53C2×C4⋊Dic59D412yes—
54#14273660—28no—
55C59⋊#95—42no—
56C59⋊#95—42no—
57C23×C4×C59—21no—
58C23×C4×C59—21no—
59C23×C4×C59D411yescharacteristic
60C23×C4×C59D411yescharacteristic
61C23×C4×C59C2311yescharacteristic
62C2×C4⋊C4×C59—21no—
63C2×C4⋊C4×C59—21no—
64C2×C4⋊C4×C59—21no—
65C2×C4⋊C4×C59—21no—
66C2×C4⋊C4×C59—21no—
67C2×C4⋊C4×C59—21no—
68C2×C4⋊C4×C59—21no—
69C2×C4⋊C4×C59—21no—
70C2×C4⋊C4×C59—21no—
71C2×C4⋊C4×C59—21no—
72C2×C4⋊C4×C59C2×C412yes—
73C2×C4⋊C4×C59D412yes—
74C2×C42×C59—21no—
75C2×C42×C59—21no—
76C2×C42×C59—21no—
77C2×C42×C59—21no—
78C2×C42×C59—21no—
79C2×C42×C59—21no—
80#95×C59—42no—
81#95×C59—42no—
82C24×C59C2×D411yescharacteristic
83C22×C4×C59—21no—
84C22×C4×C59—21no—
85C22×C4×C59—21no—
86C22×C4×C59—21no—
87C22×C4×C59—21no—
88C22×C4×C59—21no—
89C22×C4×C59—21no—
90C22×C4×C59—21no—
91C22×C4×C59—21no—
92C22×C4×C59—21no—
93C22×C4×C59—21no—
94C22×C4×C59—21no—
95C22×C4×C59—22no—
96C22×C4×C59—22no—
97C22×C4×C59—41no—
98C22×C4×C59—41no—
99C22×C4×C59—41no—
100C22×C4×C59—41no—
101C22×C4×C59—41no—
102C22×C4×C59—41no—
103C22×C4×C59—41no—
104C22×C4×C59—41no—
105C22×C4×C59—41no—
106C22×C4×C59—41no—
107C22×C4×C59—41no—
108C22×C4×C59—41no—
109C22×C4×C59D812yes—
110C22×C4×C59Q1612yes—
111C22×C4×C59C22×C411yescharacteristic
112C22×C4×C59C2×D411yescharacteristic
113C22×C4×C59C2×D411yescharacteristic
114C22×C4×C59C2×D411yescharacteristic
115C22×C4×C59C2×Q811yescharacteristic
116C22×C4×C59C2×Q811yescharacteristic
117C22×C4×C59#4111yescharacteristic
118C22×C4×C59#4111yescharacteristic
119C22×C4×C59#4111yescharacteristic
120C22×C4×C59#4111yescharacteristic
121C22×C4×C59#4111yescharacteristic
122C22×C4×C59#4111yescharacteristic
123C22×C4×C59#4111yescharacteristic
124C22×C4×C59#4111yescharacteristic
125C22×Dic59—22no—
126C22×Dic59—22no—
127C22×Dic59—41no—
128C22×Dic59—41no—
129C22×Dic59—41no—
130C22×Dic59—41no—
131C22×Dic59—41no—
132C22×Dic59—41no—
133C22×Dic59—41no—
134C22×Dic59—41no—
135C22×Dic59—41no—
136C22×Dic59—41no—
137C22×Dic59—41no—
138C22×Dic59—41no—
139C4⋊C4×C59—22no—
140C4⋊C4×C59—22no—
141C4⋊C4×C59—22no—
142C4⋊C4×C59—22no—
143C4⋊C4×C59—41no—
144C4⋊C4×C59—41no—
145C4⋊C4×C59—41no—
146C4⋊C4×C59—41no—
147C42×C59—41no—
148C42×C59—41no—
149C42×C59—41no—
150C42×C59—41no—
151C4⋊Dic59—22no—
152C4⋊Dic59—22no—
153C4⋊Dic59—22no—
154C4⋊Dic59—22no—
155C4⋊Dic59—41no—
156C4⋊Dic59—41no—
157C4⋊Dic59—41no—
158C4⋊Dic59—41no—
159C2×C59⋊C8—22no—
160C2×C59⋊C8—22no—
161C2×C59⋊C8—22no—
162C2×C59⋊C8—22no—
163C2×C59⋊C8—22no—
164C2×C59⋊C8—22no—
165C2×C59⋊C8—22no—
166C2×C59⋊C8—22no—
167C2×C59⋊C8—22no—
168C2×C59⋊C8—41no—
169C2×C59⋊C8—41no—
170C2×C59⋊C8—41no—
171C2×C59⋊C8—41no—
172C2×C59⋊C8C4⋊C414yes—
173C23×C59C4×D411yescharacteristic
174C23×C59#12111yescharacteristic
175C23×C59#12111yescharacteristic
176C23×C59#12111yescharacteristic
177C23×C59#12311yescharacteristic
178C23×C59#12311yescharacteristic
179C23×C59C4⋊Q811yescharacteristic
180C23×C59C2×D811yescharacteristic
181C23×C59C2×Q1611yescharacteristic
182C23×C59#13511yescharacteristic
183C23×C59#13511yescharacteristic
184C23×C59AGL(1,ℤ/8)11yescharacteristic
185C23×C59AGL(1,ℤ/8)11yescharacteristic
186C23×C59#13711yescharacteristic
187C23×C59#13711yescharacteristic
188C2×C4×C59—22no—
189C2×C4×C59—22no—
190C2×C4×C59—22no—
191C2×C4×C59—22no—
192C2×C4×C59—22no—
193C2×C4×C59—22no—
194C2×C4×C59—41no—
195C2×C4×C59—41no—
196C2×C4×C59—41no—
197C2×C4×C59—41no—
198C2×C4×C59—41no—
199C2×C4×C59—41no—
200C2×C4×C59—41no—
201C2×C4×C59—41no—
202C2×C4×C59—42no—
203C2×C4×C59—42no—
204C2×C4×C59—42no—
205C2×C4×C59—42no—
206C2×C4×C59—42no—
207C2×C4×C59—42no—
208C2×C4×C59—81no—
209C2×C4×C59—81no—
210C2×C4×C59—81no—
211C2×C4×C59—81no—
212C2×C4×C59—81no—
213C2×C4×C59—81no—
214C2×C4×C59—81no—
215C2×C4×C59—81no—
216C2×C4×C59C2×C4⋊C411yescharacteristic
217C2×C4×C59#11711yescharacteristic
218C2×C4×C59#11711yescharacteristic
219C2×C4×C59C4×D411yescharacteristic
220C2×C4×C59C4×D411yescharacteristic
221C2×C4×C59C4×Q811yescharacteristic
222C2×C4×C59#12011yescharacteristic
223C2×C4×C59C22⋊Q811yescharacteristic
224C2×C4×C59C22⋊Q811yescharacteristic
225C2×C4×C59C22⋊Q811yescharacteristic
226C2×C4×C59C22⋊Q811yescharacteristic
227C2×C4×C59C22⋊Q811yescharacteristic
228C2×C4×C59#12311yescharacteristic
229C2×C4×C59#12311yescharacteristic
230C2×C4×C59#12311yescharacteristic
231C2×C4×C59#12411yescharacteristic
232C2×C4×C59#12411yescharacteristic
233C2×C4×C59#12411yescharacteristic
234C2×C4×C59#12411yescharacteristic
235C2×C4×C59#12511yescharacteristic
236C2×C4×C59#12511yescharacteristic
237C2×C4×C59#12511yescharacteristic
238C2×C4×C59#12511yescharacteristic
239C2×C4×C59#12511yescharacteristic
240C2×C4×C59#12611yescharacteristic
241C2×C4×C59#12611yescharacteristic
242C2×C4×C59#12611yescharacteristic
243C2×C4×C59#12611yescharacteristic
244C2×Dic59—42no—
245C2×Dic59—42no—
246C2×Dic59—42no—
247C2×Dic59—42no—
248C2×Dic59—42no—
249C2×Dic59—42no—
250C2×Dic59—81no—
251C2×Dic59—81no—
252C2×Dic59—81no—
253C2×Dic59—81no—
254C2×Dic59—81no—
255C2×Dic59—81no—
256C2×Dic59—81no—
257C2×Dic59—81no—
258C59⋊C8—24no—
259C59⋊C8—42no—
260#11256—591nomaximal, Sylow
261C22×C59#38811yescharacteristic
262C22×C59#38811yescharacteristic
263C22×C59#38911yescharacteristic
264C22×C59#39411yescharacteristic
265C22×C59#39711yescharacteristic
266C22×C59#39811yescharacteristic
267C22×C59#39811yescharacteristic
268C22×C59C4×D811yescharacteristic
269C22×C59C4×Q1611yescharacteristic
270C22×C59#44011yescharacteristic
271C22×C59#44011yescharacteristic
272C22×C59#45911yescharacteristic
273C22×C59#45911yescharacteristic
274C22×C59#46211yescharacteristic
275C22×C59#46211yescharacteristic
276C22×C59#46311yescharacteristic
277C22×C59#46311yescharacteristic
278C22×C59#46411yescharacteristic
279C22×C59#46411yescharacteristic
280C22×C59#46611yescharacteristic
281C22×C59#46711yescharacteristic
282C22×C59#46911yescharacteristic
283C22×C59#47011yescharacteristic
284C22×C59#48011yescharacteristic
285C22×C59#48011yescharacteristic
286C22×C59#48211yescharacteristic
287C22×C59#48211yescharacteristic
288C22×C59#48411yescharacteristic
289C22×C59#48411yescharacteristic
290C22×C59#48511yescharacteristic
291C22×C59#48511yescharacteristic
292C22×C59#49911yescharacteristic
293C22×C59#50011yescharacteristic
294C22×C59#50111yescharacteristic
295C22×C59#50111yescharacteristic
296C4×C59—42no—
297C4×C59—42no—
298C4×C59—82no—
299C4×C59—82no—
300C4×C59#38211yescharacteristic
301C4×C59#38511yescharacteristic
302C4×C59#38711yescharacteristic
303C4×C59#38711yescharacteristic
304C4×C59#39311yescharacteristic
305C4×C59#40011yescharacteristic
306C4×C59#40011yescharacteristic
307C4×C59#40011yescharacteristic
308Dic59—82no—
309Dic59—82no—
310C22×#107—591no—
311C2×#340—591no—
312C2×#340—591no—
313C2×#340—591no—
314C2×#336—591no—
315C4⋊#95—591no—
316C4⋊#95D5911yescharacteristic
317C2×C59#144211yescharacteristic
318C2×C59#192511yescharacteristic
319C2×C59#192511yescharacteristic
320C2×C59#192811yescharacteristic
321C2×C59#192811yescharacteristic
322C2×C59#194211yescharacteristic
323C2×C59#194411yescharacteristic
324C2×C59#205411yescharacteristic
325C2×C59#205611yescharacteristic
326C2×C59#207511yescharacteristic
327C2×C59#207611yescharacteristic
328C2×C59#208311yescharacteristic
329C2×C59#208311yescharacteristic
330C2×C59#208511yescharacteristic
331C2×C59#208511yescharacteristic
332C23×C8—591no—
333C23×C8—591no—
334C22×C4⋊C4—591no—
335C22×C4⋊C4—591no—
336C22×C4⋊C4C2×D5911yescharacteristic
337C22×C4⋊C4C2×D5911yescharacteristic
338C22×C42C2×D5911yescharacteristic
339C2×#107—1182no—
340C2×#107—1182no—
341C2×#107—1182no—
342C2×#95—21no—
343C2×#95—21no—
344C2×#95—1181no—
345C2×#95—1181no—
346#340—594no—
347#340—1182no—
348#340—1182no—
349#336—1182no—
350C59#1125611yescharacteristic, complemented, Sylow
351C23×C4—21no—
352C23×C4—21no—
353C23×C4—1181no—
354C23×C4—1181no—
355C23×C4C22⋊D5911yescharacteristic
356C23×C4C22⋊D5911yescharacteristic
357C23×C4C22×D5911yescharacteristic
358C22×C8—592no—
359C22×C8—592no—
360C22×C8—592no—
361C22×C8—592no—
362C22×C8—1181no—
363C22×C8—1181no—
364C22×C8—1181no—
365C22×C8—1181no—
366C22×C8—1181no—
367C22×C8—1181no—
368C22×C8—1181no—
369C22×C8—1181no—
370C22×C8—1181no—
371C22×C8—1181no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—592no—
383C2×C4⋊C4—592no—
384C2×C4⋊C4—1181no—
385C2×C4⋊C4—1181no—
386C2×C4⋊C4—1181no—
387C2×C4⋊C4—1181no—
388C2×C4⋊C4—1181no—
389C2×C4⋊C4—1181no—
390C2×C4⋊C4—1181no—
391C2×C4⋊C4—1181no—
392C2×C4⋊C4—1181no—
393C2×C4⋊C4—1181no—
394C2×C4⋊C4C4×D5912yes—
395C2×C4⋊C4D23612yes—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402#107—1188no—
403#95—42no—
404#95—42no—
405#95—2362no—
406#95—2362no—
407C24C2×C22⋊D5911yescharacteristic
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—1182no—
435C22×C4—1182no—
436C22×C4—2361no—
437C22×C4—2361no—
438C22×C4—2361no—
439C22×C4—2361no—
440C22×C4—2361no—
441C22×C4—2361no—
442C22×C4—2361no—
443C22×C4—2361no—
444C22×C4—2361no—
445C22×C4—2361no—
446C22×C4—2361no—
447C22×C4—2361no—
448C22×C4#1174566912yes—
449C22×C4#1174567212yes—
450C22×C4C2×C4×D5911yescharacteristic
451C22×C4C2×D23611yescharacteristic
452C22×C4#1174568511yescharacteristic
453C22×C4#1174568511yescharacteristic
454C22×C4#1174568511yescharacteristic
455C22×C4#1174568511yescharacteristic
456C22×C4D4×D5911yescharacteristic
457C22×C4D4×D5911yescharacteristic
458C22×C4#1174568711yescharacteristic
459C22×C4#1174568711yescharacteristic
460C22×C4#1174568711yescharacteristic
461C22×C4#1174568711yescharacteristic
462C22×C4Q8×D5911yescharacteristic
463C22×C4Q8×D5911yescharacteristic
464C2×C8—594no—
465C2×C8—1182no—
466C2×C8—1182no—
467C2×C8—1182no—
468C2×C8—1182no—
469C2×C8—1182no—
470C2×C8—1182no—
471C2×C8—1182no—
472C2×C8—1182no—
473C2×C8—1182no—
474C2×C8—2361no—
475C2×C8—2361no—
476C2×C8—2361no—
477C2×C8—2361no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—41no—
483C4⋊C4—41no—
484C4⋊C4—41no—
485C4⋊C4—41no—
486C4⋊C4—1182no—
487C4⋊C4—1182no—
488C4⋊C4—1182no—
489C4⋊C4—1182no—
490C4⋊C4—2361no—
491C4⋊C4—2361no—
492C4⋊C4—2361no—
493C4⋊C4—2361no—
494C42—41no—
495C42—41no—
496C42—41no—
497C42—41no—
498C23C4×C22⋊D5911yescharacteristic
499C23#1427369811yescharacteristic
500C23#1427369911yescharacteristic
501C23#1427370111yescharacteristic
502C23#1427370811yescharacteristic
503C23#1427371011yescharacteristic
504C23#1427372511yescharacteristic
505C23C2×#1174566911yescharacteristic
506C23C2×#1174567211yescharacteristic
507C23#1427374711yescharacteristic
508C23#1427374711yescharacteristic
509C23#1427375211yescharacteristic
510C23#1427375311yescharacteristic
511C23#1427375711yescharacteristic
512C23#1427375811yescharacteristic
513C2×C4—22no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—22no—
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—41no—
520C2×C4—41no—
521C2×C4—41no—
522C2×C4—41no—
523C2×C4—41no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—41no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—42no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—81no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—81no—
538C2×C4—81no—
539C2×C4—81no—
540C2×C4—81no—
541C2×C4—4721no—
542C2×C4—4721no—
543C2×C4—4721no—
544C2×C4—4721no—
545C2×C4—4721no—
546C2×C4—4721no—
547C2×C4—4721no—
548C2×C4—4721no—
549C2×C4—2362no—
550C2×C4—2362no—
551C2×C4—2362no—
552C2×C4—2362no—
553C2×C4—2362no—
554C2×C4—2362no—
555C2×C4C4⋊C4×D5911yescharacteristic
556C2×C4#1427368311yescharacteristic
557C2×C4#1427368411yescharacteristic
558C2×C4(C22⋊D59)⋊C411yescharacteristic
559C2×C4C4×D23611yescharacteristic
560C2×C4#1427369211yescharacteristic
561C2×C4#1427369711yescharacteristic
562C2×C4#1427370511yescharacteristic
563C2×C4#1427370511yescharacteristic
564C2×C4#1427370511yescharacteristic
565C2×C4#1427370711yescharacteristic
566C2×C4#1427370711yescharacteristic
567C2×C4#1427370911yescharacteristic
568C2×C4#1427370911yescharacteristic
569C2×C4#1427371111yescharacteristic
570C2×C4#1427371311yescharacteristic
571C2×C4#1427371311yescharacteristic
572C2×C4#1427371311yescharacteristic
573C2×C4#1427371511yescharacteristic
574C2×C4#1427371711yescharacteristic
575C2×C4#1427371711yescharacteristic
576C2×C4#1427371711yescharacteristic
577C2×C4#1427371711yescharacteristic
578C2×C4#1427371711yescharacteristic
579C2×C4#1427372011yescharacteristic
580C2×C4#1427372011yescharacteristic
581C2×C4#1427372011yescharacteristic
582C2×C4#1427372111yescharacteristic
583C8—1184no—
584C8—2362no—
585C22#1683729011yescharacteristic
586C22#1683729311yescharacteristic
587C22#1683729711yescharacteristic
588C22#1683731811yescharacteristic
589C22#1683733011yescharacteristic
590C22#1683733211yescharacteristic
591C22#1683733311yescharacteristic
592C22C4×#1174566911yescharacteristic
593C22C4×#1174567211yescharacteristic
594C22#1683750011yescharacteristic
595C22#1683750211yescharacteristic
596C22#1683759411yescharacteristic
597C22#1683759711yescharacteristic
598C22#1683760911yescharacteristic
599C22#1683761211yescharacteristic
600C22#1683761411yescharacteristic
601C22#1683761711yescharacteristic
602C22#1683762111yescharacteristic
603C22#1683762411yescharacteristic
604C22#1683763611yescharacteristic
605C22#1683764111yescharacteristic
606C22#1683765311yescharacteristic
607C22#1683765811yescharacteristic
608C22#1683771311yescharacteristic
609C22#1683771511yescharacteristic
610C22#1683772311yescharacteristic
611C22#1683772611yescharacteristic
612C22#1683773511yescharacteristic
613C22#1683773711yescharacteristic
614C22#1683774011yescharacteristic
615C22#1683774311yescharacteristic
616C22#1683780111yescharacteristic
617C22#1683780511yescharacteristic
618C22#1683780811yescharacteristic
619C22#1683781211yescharacteristic
620C4—42no—
621C4—42no—
622C4—82no—
623C4—82no—
624C4—4722no—
625C4—4722no—
626C4#1683726611yescharacteristic
627C4#1683727611yescharacteristic
628C4#1683728411yescharacteristic
629C4#1683728711yescharacteristic
630C4#1683731511yescharacteristic
631C4#1683734211yescharacteristic
632C4#1683734311yescharacteristic
633C4#1683734311yescharacteristic
634C2#2142235111yescharacteristic
635C2#2142471311yescharacteristic
636C2#2142471611yescharacteristic
637C2#2142473411yescharacteristic
638C2#2142473711yescharacteristic
639C2#2142482611yescharacteristic
640C2#2142483611yescharacteristic
641C2#2142540611yescharacteristic
642C2#2142541811yescharacteristic
643C2#2142552211yescharacteristic
644C2#2142552711yescharacteristic
645C2#2142556711yescharacteristic
646C2#2142556811yescharacteristic
647C2#2142557711yescharacteristic
648C2#2142557811yescharacteristic
subgroupG/H
centerC24C2×C22⋊D59
commutatorC22×C4×C59C22×C4
FrattiniC23×C4C22×D59
FittingC59×C4⋊#95C2
socle, prime radicalC24×C59C2×D4
cosocleC23×C4×C59C23
hypercenterC4⋊#95D59
hypocenterC59#11256
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C24 ◁ C22×C42 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
19. #16837164C4semidirect
350. C59#11256semidirect

Maximal subgroups

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

subgroupindex
C22×#142736602
C2×#168371642
C2×#168371572
#214223262
C59×C4⋊#952
#1125659