Finite Group Databasebeta

← #28496873

Subgroups — #28496873

Order 15104.

846 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×Dic59⋊C8C211yesmaximal, characteristic
2C2×#16837157C211yesmaximal, characteristic
3C2×#16837156C211yesmaximal, characteristic
4C2×#16837156C211yesmaximal, characteristic
5C2×#16837156C211yesmaximal, characteristic
6C4×C59⋊#95C211yesmaximal, characteristic
7C2×C59×#336C211yesmaximal, characteristic
8C23×C59⋊C8C2211yescharacteristic
9C23×C59⋊C8C2211yescharacteristic
10C22×C4×Dic59C2211yescharacteristic
11C22×C4×Dic59C2211yescharacteristic
12C2×Dic59⋊C8—22no—
13C2×Dic59⋊C8—22no—
14C2×Dic59⋊C8—22no—
15C2×C59⋊#95C411yescharacteristic
16C2×C59⋊#95C411yescharacteristic
17C2×C59⋊#95C411yescharacteristic
18C2×C59⋊#95C411yescharacteristic
19#16837157—22no—
20#16837156—22no—
21#16837156—22no—
22#16837156—22no—
23C23×C8×C59C2211yescharacteristic
24C23×C8×C59C2211yescharacteristic
25C22×C42×C59C2211yescharacteristic
26C59×#336—22no—
27C23×Dic59C2×C411yescharacteristic
28C23×Dic59C2×C411yescharacteristic
29C23×Dic59C2×C411yescharacteristic
30C23×Dic59C2×C411yescharacteristic
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⋊C8—21no—
39C22×C59⋊C8—21no—
40C22×C59⋊C8—21no—
41C22×C59⋊C8—21no—
42C22×C59⋊C8—21no—
43C22×C59⋊C8D412yes—
44C22×C59⋊C8D412yes—
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×Dic59—21no—
53C2×C4×Dic59—21no—
54C2×C4×Dic59—21no—
55C2×C4×Dic59D412yes—
56C2×C4×Dic59Q812yes—
57Dic59⋊C8—28no—
58C59⋊#95—22no—
59C59⋊#95—22no—
60C59⋊#95—22no—
61C59⋊#95C814yescomplemented
62C23×C4×C59C2×C411yescharacteristic
63C23×C4×C59C2×C411yescharacteristic
64C23×C4×C59C2311yescharacteristic
65C22×C8×C59—21no—
66C22×C8×C59—21no—
67C22×C8×C59—21no—
68C22×C8×C59—21no—
69C22×C8×C59—21no—
70C22×C8×C59—21no—
71C22×C8×C59—21no—
72C22×C8×C59—21no—
73C22×C8×C59—21no—
74C22×C8×C59—21no—
75C22×C8×C59—21no—
76C22×C8×C59—21no—
77C22×C8×C59D412yes—
78C22×C8×C59Q812yes—
79C2×C42×C59—21no—
80C2×C42×C59—21no—
81C2×C42×C59—21no—
82C2×C42×C59—21no—
83C2×C42×C59—21no—
84C2×C42×C59—21no—
85C24×C59C22×C411yescharacteristic
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—21no—
96C22×C4×C59—21no—
97C22×C4×C59—21no—
98C22×C4×C59C2×C812yes—
99C22×C4×C59M1612yes—
100C22×C4×C59C2×D411yescharacteristic
101C22×C4×C59C2×D411yescharacteristic
102C22×C4×C59C2×D411yescharacteristic
103C22×C4×C59C2×D411yescharacteristic
104C22×C4×C59C2×Q811yescharacteristic
105C22×C4×C59C2×Q811yescharacteristic
106C22×C4×C59#4111yescharacteristic
107C22×C4×C59#4111yescharacteristic
108C22×C4×C59#4111yescharacteristic
109C22×C4×C59#4111yescharacteristic
110C22×C4×C59#4111yescharacteristic
111C22×C4×C59#4111yescharacteristic
112C22×C4×C59#4111yescharacteristic
113C22×C4×C59#4111yescharacteristic
114C22×Dic59—21no—
115C22×Dic59—21no—
116C22×Dic59—21no—
117C22×Dic59—21no—
118C22×Dic59—21no—
119C22×Dic59—21no—
120C22×Dic59—21no—
121C22×Dic59—21no—
122C22×Dic59—21no—
123C22×Dic59—21no—
124C22×Dic59—21no—
125C22×Dic59—21no—
126C22×Dic59—21no—
127C22×Dic59—21no—
128C22×Dic59—21no—
129C22×Dic59—21no—
130C22×Dic59—21no—
131C22×Dic59—21no—
132C22×Dic59—21no—
133C22×Dic59—21no—
134C22×Dic59—21no—
135C22×Dic59—21no—
136C22×Dic59C4⋊C412yes—
137C22×Dic59C4⋊C412yes—
138C22×Dic59C2×C812yes—
139C22×Dic59C2×C812yes—
140C22×Dic59M1612yes—
141C22×Dic59M1612yes—
142C2×C8×C59—22no—
143C2×C8×C59—22no—
144C2×C8×C59—22no—
145C2×C8×C59—22no—
146C2×C8×C59—22no—
147C2×C8×C59—22no—
148C2×C8×C59—41no—
149C2×C8×C59—41no—
150C2×C8×C59—41no—
151C2×C8×C59—41no—
152C2×C8×C59—41no—
153C2×C8×C59—41no—
154C2×C8×C59—41no—
155C2×C8×C59—41no—
156C42×C59—41no—
157C42×C59—41no—
158C42×C59—41no—
159C42×C59—41no—
160C4×Dic59—22no—
161C4×Dic59—22no—
162C4×Dic59—22no—
163C4×Dic59—22no—
164C4×Dic59—41no—
165C4×Dic59—41no—
166C4×Dic59—41no—
167C4×Dic59—41no—
168C2×C59⋊C8—22no—
169C2×C59⋊C8—22no—
170C2×C59⋊C8—22no—
171C2×C59⋊C8—22no—
172C2×C59⋊C8—22no—
173C2×C59⋊C8—22no—
174C2×C59⋊C8—41no—
175C2×C59⋊C8—41no—
176C2×C59⋊C8—41no—
177C2×C59⋊C8—41no—
178C2×C59⋊C8—41no—
179C2×C59⋊C8—41no—
180C2×C59⋊C8—41no—
181C2×C59⋊C8—41no—
182C23×C59C2×C4⋊C411yescharacteristic
183C23×C59#11711yescharacteristic
184C23×C59#11711yescharacteristic
185C23×C59C4×D411yescharacteristic
186C23×C59C4×D411yescharacteristic
187C23×C59C4×D411yescharacteristic
188C23×C59C4×Q811yescharacteristic
189C23×C59C22×C811yescharacteristic
190C23×C59C2×M1611yescharacteristic
191C23×C59C2×M1611yescharacteristic
192C23×C59C2×M1611yescharacteristic
193C23×C59#13111yescharacteristic
194C23×C59#13111yescharacteristic
195C23×C59#13111yescharacteristic
196C23×C59#13111yescharacteristic
197C2×C4×C59—22no—
198C2×C4×C59—22no—
199C2×C4×C59—22no—
200C2×C4×C59—22no—
201C2×C4×C59—22no—
202C2×C4×C59—22no—
203C2×C4×C59—41no—
204C2×C4×C59—41no—
205C2×C4×C59—41no—
206C2×C4×C59—41no—
207C2×C4×C59—41no—
208C2×C4×C59—41no—
209C2×C4×C59—41no—
210C2×C4×C59—41no—
211C2×C4×C59#12011yescharacteristic
212C2×C4×C59#12111yescharacteristic
213C2×C4×C59#12111yescharacteristic
214C2×C4×C59#12111yescharacteristic
215C2×C4×C59C22⋊Q811yescharacteristic
216C2×C4×C59C22⋊Q811yescharacteristic
217C2×C4×C59C22⋊Q811yescharacteristic
218C2×C4×C59C22⋊Q811yescharacteristic
219C2×C4×C59C22⋊Q811yescharacteristic
220C2×C4×C59#12311yescharacteristic
221C2×C4×C59#12311yescharacteristic
222C2×C4×C59#12311yescharacteristic
223C2×C4×C59#12311yescharacteristic
224C2×C4×C59#12311yescharacteristic
225C2×C4×C59#12411yescharacteristic
226C2×C4×C59#12411yescharacteristic
227C2×C4×C59#12411yescharacteristic
228C2×C4×C59#12411yescharacteristic
229C2×C4×C59#12511yescharacteristic
230C2×C4×C59#12511yescharacteristic
231C2×C4×C59#12511yescharacteristic
232C2×C4×C59#12511yescharacteristic
233C2×C4×C59#12511yescharacteristic
234C2×C4×C59#12611yescharacteristic
235C2×C4×C59#12611yescharacteristic
236C2×C4×C59#12611yescharacteristic
237C2×C4×C59#12611yescharacteristic
238C2×C4×C59C4⋊Q811yescharacteristic
239C2×Dic59—22no—
240C2×Dic59—22no—
241C2×Dic59—22no—
242C2×Dic59—22no—
243C2×Dic59—22no—
244C2×Dic59—22no—
245C2×Dic59—22no—
246C2×Dic59—22no—
247C2×Dic59—22no—
248C2×Dic59—22no—
249C2×Dic59—22no—
250C2×Dic59—22no—
251C2×Dic59—22no—
252C2×Dic59—22no—
253C2×Dic59—22no—
254C2×Dic59—41no—
255C2×Dic59—41no—
256C2×Dic59—41no—
257C2×Dic59—41no—
258C2×Dic59—41no—
259C2×Dic59—41no—
260C2×Dic59—41no—
261C2×Dic59—41no—
262C2×Dic59—41no—
263C2×Dic59—41no—
264C2×Dic59—41no—
265C2×Dic59—41no—
266C2×Dic59C4⋊C814yes—
267C8×C59—42no—
268C8×C59—42no—
269C59⋊C8—42no—
270C59⋊C8—42no—
271#11255—591nomaximal, Sylow
272C22×C59#38211yescharacteristic
273C22×C59#38511yescharacteristic
274C22×C59#38711yescharacteristic
275C22×C59#38711yescharacteristic
276C22×C59#38811yescharacteristic
277C22×C59#38811yescharacteristic
278C22×C59#38911yescharacteristic
279C22×C59C2×C4⋊C811yescharacteristic
280C22×C59#42311yescharacteristic
281C22×C59#42411yescharacteristic
282C22×C59#42411yescharacteristic
283C22×C59#43111yescharacteristic
284C22×C59#43111yescharacteristic
285C22×C59#43211yescharacteristic
286C22×C59#43211yescharacteristic
287C22×C59#43311yescharacteristic
288C22×C59#43311yescharacteristic
289C22×C59#43311yescharacteristic
290C22×C59#43311yescharacteristic
291C22×C59C8×D411yescharacteristic
292C22×C59C8×D411yescharacteristic
293C22×C59C8×D411yescharacteristic
294C22×C59#43511yescharacteristic
295C22×C59#43511yescharacteristic
296C22×C59#43511yescharacteristic
297C22×C59#43511yescharacteristic
298C22×C59#43511yescharacteristic
299C22×C59#43511yescharacteristic
300C22×C59#43611yescharacteristic
301C22×C59#43611yescharacteristic
302C22×C59#43611yescharacteristic
303C22×C59C8×Q811yescharacteristic
304C22×C59#44611yescharacteristic
305C22×C59#44611yescharacteristic
306C22×C59#44611yescharacteristic
307C4×C59—42no—
308C4×C59—42no—
309C4×C59#39311yescharacteristic
310C4×C59#39411yescharacteristic
311C4×C59#39711yescharacteristic
312C4×C59#39811yescharacteristic
313C4×C59#39811yescharacteristic
314C4×C59#40011yescharacteristic
315C4×C59#40011yescharacteristic
316C4×C59#40011yescharacteristic
317Dic59—24no—
318Dic59—42no—
319Dic59—42no—
320Dic59—42no—
321C22×C4⋊C8—591no—
322C2×#336—591no—
323C2×#336—591no—
324C2×#336—591no—
325C2×#336—591no—
326C2×#336D5911yescharacteristic
327C4×#95—591no—
328C2×C59#144211yescharacteristic
329C2×C59#183111yescharacteristic
330C2×C59#183211yescharacteristic
331C2×C59#185011yescharacteristic
332C2×C59#185111yescharacteristic
333C2×C59#191611yescharacteristic
334C2×C59#191611yescharacteristic
335C2×C59#191711yescharacteristic
336C2×C59#191711yescharacteristic
337C2×C59#192311yescharacteristic
338C2×C59#192311yescharacteristic
339C2×C59#192411yescharacteristic
340C2×C59#192411yescharacteristic
341C2×C59#193911yescharacteristic
342C2×C59#194011yescharacteristic
343C23×C8—591no—
344C23×C8—591no—
345C23×C8C2×D5911yescharacteristic
346C23×C8C2×D5911yescharacteristic
347C22×C42—591no—
348C22×C42—591no—
349C22×C42C2×D5911yescharacteristic
350C2×C4⋊C8—1182no—
351C2×C4⋊C8—1182no—
352C2×C4⋊C8—1182no—
353C2×#95—591no—
354C2×#95—591no—
355C2×#95—591no—
356C2×#95—591no—
357#336—22no—
358#336—1182no—
359#336—1182no—
360#336—1182no—
361#336—1182no—
362C59#1125511yescharacteristic, complemented, Sylow
363C23×C4—591no—
364C23×C4—591no—
365C23×C4—591no—
366C23×C4—591no—
367C23×C4C4×D5911yescharacteristic
368C23×C4C4×D5911yescharacteristic
369C23×C4C22×D5911yescharacteristic
370C22×C8—21no—
371C22×C8—21no—
372C22×C8—21no—
373C22×C8—21no—
374C22×C8—21no—
375C22×C8—21no—
376C22×C8—21no—
377C22×C8—21no—
378C22×C8—21no—
379C22×C8—21no—
380C22×C8—21no—
381C22×C8—21no—
382C22×C8—592no—
383C22×C8—592no—
384C22×C8—1181no—
385C22×C8—1181no—
386C22×C8—1181no—
387C22×C8—1181no—
388C22×C8—1181no—
389C22×C8—1181no—
390C22×C8—1181no—
391C22×C8—1181no—
392C22×C8—1181no—
393C22×C8—1181no—
394C22×C8—1181no—
395C22×C8—1181no—
396C22×C8Dic11812yes—
397C22×C8C22⋊D5912yes—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—592no—
405C2×C42—592no—
406C2×C42—1181no—
407C2×C42—1181no—
408C2×C42—1181no—
409C2×C42—1181no—
410C2×C42—1181no—
411C2×C42—1181no—
412C2×C42—1181no—
413C2×C42—1181no—
414C2×C42—1181no—
415C2×C42—1181no—
416C4⋊C8—1188no—
417#95—594no—
418#95—1182no—
419#95—1182no—
420#95—1182no—
421C24C2×C4×D5911yescharacteristic
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—592no—
435C22×C4—592no—
436C22×C4—592no—
437C22×C4—592no—
438C22×C4—592no—
439C22×C4—592no—
440C22×C4—1181no—
441C22×C4—1181no—
442C22×C4—1181no—
443C22×C4—1181no—
444C22×C4—1181no—
445C22×C4—1181no—
446C22×C4—1181no—
447C22×C4—1181no—
448C22×C4—1181no—
449C22×C4—1181no—
450C22×C4—1181no—
451C22×C4—1181no—
452C22×C4—1181no—
453C22×C4—1181no—
454C22×C4—1181no—
455C22×C4—1181no—
456C22×C4—1181no—
457C22×C4—1181no—
458C22×C4—1181no—
459C22×C4—1181no—
460C22×C4—1181no—
461C22×C4—1181no—
462C22×C4C8×D5912yes—
463C22×C4#1174565912yes—
464C22×C4C2×Dic11811yescharacteristic
465C22×C4#1174568511yescharacteristic
466C22×C4#1174568511yescharacteristic
467C22×C4#1174568511yescharacteristic
468C22×C4#1174568511yescharacteristic
469C22×C4D4×D5911yescharacteristic
470C22×C4D4×D5911yescharacteristic
471C22×C4D4×D5911yescharacteristic
472C22×C4#1174568711yescharacteristic
473C22×C4#1174568711yescharacteristic
474C22×C4#1174568711yescharacteristic
475C22×C4Q8×D5911yescharacteristic
476C22×C4#1174568911yescharacteristic
477C22×C4C2×C22⋊D5911yescharacteristic
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—22no—
483C2×C8—22no—
484C2×C8—41no—
485C2×C8—41no—
486C2×C8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—1182no—
493C2×C8—1182no—
494C2×C8—1182no—
495C2×C8—1182no—
496C2×C8—1182no—
497C2×C8—1182no—
498C2×C8—2361no—
499C2×C8—2361no—
500C2×C8—2361no—
501C2×C8—2361no—
502C2×C8—2361no—
503C2×C8—2361no—
504C2×C8—2361no—
505C2×C8—2361no—
506C42—41no—
507C42—41no—
508C42—41no—
509C42—41no—
510C42—1182no—
511C42—1182no—
512C42—1182no—
513C42—1182no—
514C42—2361no—
515C42—2361no—
516C42—2361no—
517C42—2361no—
518C23C4⋊C4×D5911yescharacteristic
519C23#1427368311yescharacteristic
520C23#1427368411yescharacteristic
521C23(C22⋊D59)⋊C411yescharacteristic
522C23C4×C22⋊D5911yescharacteristic
523C23#1427368911yescharacteristic
524C23C4×Dic11811yescharacteristic
525C23C2×C8×D5911yescharacteristic
526C23M16×D5911yescharacteristic
527C23M16×D5911yescharacteristic
528C23C2×#1174565911yescharacteristic
529C23#1427373311yescharacteristic
530C23#1427373311yescharacteristic
531C23#1427373511yescharacteristic
532C23#1427373511yescharacteristic
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—41no—
540C2×C4—41no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—594no—
548C2×C4—1182no—
549C2×C4—1182no—
550C2×C4—1182no—
551C2×C4—1182no—
552C2×C4—1182no—
553C2×C4—1182no—
554C2×C4—1182no—
555C2×C4—1182no—
556C2×C4—1182no—
557C2×C4—1182no—
558C2×C4—1182no—
559C2×C4—1182no—
560C2×C4—1182no—
561C2×C4—1182no—
562C2×C4—1182no—
563C2×C4—2361no—
564C2×C4—2361no—
565C2×C4—2361no—
566C2×C4—2361no—
567C2×C4—2361no—
568C2×C4—2361no—
569C2×C4—2361no—
570C2×C4—2361no—
571C2×C4—2361no—
572C2×C4—2361no—
573C2×C4—2361no—
574C2×C4—2361no—
575C2×C4#1427369511yescharacteristic
576C2×C4#1427369911yescharacteristic
577C2×C4#1427370011yescharacteristic
578C2×C4#1427370011yescharacteristic
579C2×C4#1427370311yescharacteristic
580C2×C4#1427370411yescharacteristic
581C2×C4#1427370411yescharacteristic
582C2×C4#1427370511yescharacteristic
583C2×C4#1427370611yescharacteristic
584C2×C4#1427370911yescharacteristic
585C2×C4#1427370911yescharacteristic
586C2×C4#1427371011yescharacteristic
587C2×C4#1427371211yescharacteristic
588C2×C4#1427371211yescharacteristic
589C2×C4#1427371311yescharacteristic
590C2×C4#1427371311yescharacteristic
591C2×C4#1427371311yescharacteristic
592C2×C4#1427371411yescharacteristic
593C2×C4#1427371711yescharacteristic
594C2×C4#1427371711yescharacteristic
595C2×C4#1427371711yescharacteristic
596C2×C4#1427371811yescharacteristic
597C2×C4#1427371911yescharacteristic
598C2×C4#1427372011yescharacteristic
599C2×C4#1427372111yescharacteristic
600C2×C4#1427372211yescharacteristic
601C2×C4#1427372211yescharacteristic
602C2×C4#1427372611yescharacteristic
603C8—42no—
604C8—42no—
605C8—2362no—
606C8—2362no—
607C22#1683726611yescharacteristic
608C22#1683727311yescharacteristic
609C22#1683728511yescharacteristic
610C22#1683728611yescharacteristic
611C22#1683729111yescharacteristic
612C22#1683729611yescharacteristic
613C22#1683729911yescharacteristic
614C22C4⋊C8×D5911yescharacteristic
615C22#1683742411yescharacteristic
616C22#1683742711yescharacteristic
617C22#1683742711yescharacteristic
618C22#1683745211yescharacteristic
619C22#1683745311yescharacteristic
620C22#1683745611yescharacteristic
621C22#1683745711yescharacteristic
622C22#1683746011yescharacteristic
623C22#1683746011yescharacteristic
624C22#1683746111yescharacteristic
625C22#1683746411yescharacteristic
626C22(C22⋊D59)⋊C811yescharacteristic
627C22C8×C22⋊D5911yescharacteristic
628C22#1683746711yescharacteristic
629C22#1683747011yescharacteristic
630C22#1683747111yescharacteristic
631C22#1683747211yescharacteristic
632C22#1683747211yescharacteristic
633C22#1683747311yescharacteristic
634C22#1683747611yescharacteristic
635C22#1683747711yescharacteristic
636C22#1683747811yescharacteristic
637C22#1683747911yescharacteristic
638C22C8×Dic11811yescharacteristic
639C22#1683753011yescharacteristic
640C22#1683753011yescharacteristic
641C22#1683753211yescharacteristic
642C4—42no—
643C4—42no—
644C4—1184no—
645C4—2362no—
646C4—2362no—
647C4—2362no—
648C4#1683731411yescharacteristic
649C4#1683731711yescharacteristic
650C4#1683733111yescharacteristic
651C4#1683733511yescharacteristic
652C4#1683733611yescharacteristic
653C4#1683734011yescharacteristic
654C4#1683734311yescharacteristic
655C4#1683734411yescharacteristic
656C2#2142235411yescharacteristic
657C2#2142421111yescharacteristic
658C2#2142421411yescharacteristic
659C2#2142427211yescharacteristic
660C2#2142427711yescharacteristic
661C2#2142465211yescharacteristic
662C2#2142465311yescharacteristic
663C2#2142465911yescharacteristic
664C2#2142466011yescharacteristic
665C2#2142470011yescharacteristic
666C2#2142470511yescharacteristic
667C2#2142470711yescharacteristic
668C2#2142471211yescharacteristic
669C2#2142481311yescharacteristic
670C2#2142481811yescharacteristic
subgroupG/H
center, FrattiniC23×C4C22×D59
commutatorC23×C59C22×C8
FittingC2×C59×#336C2
socle, prime radicalC24×C59C22×C4
cosocleC23×C4×C59C23
hypercenterC2×#336D59
hypocenterC59#11255
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23×C4 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
61. C59⋊#95C8semidirect
362. C59#11255semidirect

Maximal subgroups

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

subgroupindex
C22×Dic59⋊C82
C2×#168371572
C2×#168371562
C4×C59⋊#952
C2×C59×#3362
#1125559