Finite Group Databasebeta

← #28519929

Subgroups — #28519929

Order 15104.

2574 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4×Dic59C211yesmaximal, characteristic
2C2×#16837297C212yesmaximal, complemented
3C2×#16837275C211yesmaximal, characteristic
4C2×#16837260C211yesmaximal, characteristic
5C2×#16837260C211yesmaximal, characteristic
6#21422331C212yesmaximal, complemented
7#21422328C212yesmaximal, complemented
8Dic59⋊#95C212yesmaximal, complemented
9#21422318C211yesmaximal, characteristic
10#21422318C211yesmaximal, characteristic
11C2×C59×#385C211yesmaximal, characteristic
12C24×Dic59C2211yescharacteristic
13C24×Dic59C2211yescharacteristic
14C22×Dic59⋊C4C2211yescharacteristic
15C22×Dic59⋊C4C2211yescharacteristic
16C22×Dic59⋊C4C2212yes—
17C22×Dic59⋊C4C2212yes—
18C22×C22⋊Dic59C2211yescharacteristic
19C22×C22⋊Dic59C2211yescharacteristic
20C22×C4×Dic59—24no—
21C22×C4×Dic59—28no—
22C22×C4×Dic59C2212yes—
23C22×C4×Dic59C2212yes—
24#16837297—28no—
25#16837275—24no—
26#16837260—24no—
27#16837260C418yescomplemented
28C2×C59⋊#95C2211yescharacteristic
29C2×C59⋊#95C2211yescharacteristic
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C2×C59⋊#95C2212yes—
34C2×C59⋊#95C2212yes—
35C2×C59⋊#95C2212yes—
36C24×C4×C59C2211yescharacteristic
37C22×C4⋊C4×C59C2212yes—
38C22×C22⋊C4×C59C2211yescharacteristic
39C22×C22⋊C4×C59C2211yescharacteristic
40C59×#385—24no—
41C2×#95×C59C2212yes—
42C23×Dic59—22no—
43C23×Dic59—22no—
44C23×Dic59—24no—
45C23×Dic59—24no—
46C23×Dic59—24no—
47C23×Dic59—24no—
48C23×Dic59C2×C414yes—
49C23×Dic59D414yes—
50C23×Dic59Q814yes—
51C23×Dic59Q814yes—
52C23×Dic59C2311yescharacteristic
53C23×Dic59C2311yescharacteristic
54C23×Dic59C2312yes—
55C23×Dic59C2311yescharacteristic
56C23×Dic59C2312yes—
57C23×Dic59C2311yescharacteristic
58C2×Dic59⋊C4—24no—
59C2×Dic59⋊C4—24no—
60C2×Dic59⋊C4—24no—
61C2×Dic59⋊C4—24no—
62C2×Dic59⋊C4—24no—
63C2×Dic59⋊C4—22no—
64C2×Dic59⋊C4—22no—
65C2×Dic59⋊C4—24no—
66C2×Dic59⋊C4—24no—
67C2×Dic59⋊C4C2×C418yescomplemented
68C2×C22⋊Dic59—22no—
69C2×C22⋊Dic59—22no—
70C2×C22⋊Dic59—22no—
71C2×C22⋊Dic59—22no—
72C2×C22⋊Dic59—22no—
73C2×C22⋊Dic59C2×C414yes—
74C2×C4×Dic59—232no—
75C2×C4×Dic59—24no—
76C2×C4×Dic59—24no—
77C2×C4×Dic59—24no—
78C2×C4×Dic59—24no—
79C2×C4×Dic59—24no—
80C2×C4×Dic59D418yes—
81C59⋊#95—24no—
82C59⋊#95—22no—
83C59⋊#95—22no—
84C59⋊#95—24no—
85C59⋊#95—24no—
86C59⋊#95—24no—
87C59⋊#95—24no—
88C59⋊#95C2×C418yescomplemented
89C25×C59C2311yescharacteristic
90C23×C4×C59—22no—
91C23×C4×C59—22no—
92C23×C4×C59—24no—
93C23×C4×C59—24no—
94C23×C4×C59D414yes—
95C23×C4×C59C2311yescharacteristic
96C23×C4×C59C2311yescharacteristic
97C23×C4×C59C2312yes—
98C23×C4×C59C2312yes—
99C2×C4⋊C4×C59—24no—
100C2×C4⋊C4×C59—24no—
101C2×C4⋊C4×C59—24no—
102C2×C22⋊C4×C59—22no—
103C2×C22⋊C4×C59—22no—
104C2×C22⋊C4×C59—22no—
105C2×C22⋊C4×C59—22no—
106C2×C22⋊C4×C59—22no—
107C2×C22⋊C4×C59C2×C414yes—
108#95×C59—24no—
109C24×C59—22no—
110C24×C59—22no—
111C24×C59—22no—
112C24×C59—22no—
113C24×C59C22×C412yes—
114C24×C59C2×D412yes—
115C24×C59C2×D412yes—
116C24×C59C2×Q812yes—
117C24×C59C2×Q812yes—
118C24×C59#4112yes—
119C24×C59#4112yes—
120C24×C59C2411yescharacteristic
121C22×C4×C59—216no—
122C22×C4×C59—28no—
123C22×C4×C59—28no—
124C22×C4×C59—28no—
125C22×C4×C59—22no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—216no—
130C22×C4×C59—22no—
131C22×C4×C59—22no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—21no—
137C22×C4×C59—21no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—22no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—22no—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59C22×C414yes—
147C22×C4×C59C2×D414yes—
148C22×C4×C59C2×D414yes—
149C22×C4×C59#4114yes—
150C22×Dic59—28no—
151C22×Dic59—216no—
152C22×Dic59—28no—
153C22×Dic59—28no—
154C22×Dic59—22no—
155C22×Dic59—22no—
156C22×Dic59—22no—
157C22×Dic59—22no—
158C22×Dic59—22no—
159C22×Dic59—22no—
160C22×Dic59—216no—
161C22×Dic59—28no—
162C22×Dic59—216no—
163C22×Dic59—216no—
164C22×Dic59—28no—
165C22×Dic59—22no—
166C22×Dic59—22no—
167C22×Dic59—22no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59—22no—
171C22×Dic59—21no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174C22×Dic59—22no—
175C22×Dic59—21no—
176C22×Dic59—22no—
177C22×Dic59—21no—
178C22×Dic59—21no—
179C22×Dic59—22no—
180C22×Dic59—22no—
181C22×Dic59C4⋊C4116yescomplemented
182C22×Dic59C22×C414yes—
183C22×Dic59C22×C412yes—
184C22×Dic59C22×C412yes—
185C22×Dic59C2×D412yes—
186C22×Dic59C2×D414yes—
187C22×Dic59C2×D412yes—
188C22×Dic59C2×D414yes—
189C22×Dic59C2×Q812yes—
190C22×Dic59C2×Q814yes—
191C22×Dic59C2×Q812yes—
192C22×Dic59#4114yes—
193C22×Dic59#4114yes—
194C4⋊C4×C59—48no—
195C22⋊C4×C59—28no—
196C22⋊C4×C59—44no—
197C22⋊Dic59—28no—
198C22⋊Dic59—44no—
199Dic59⋊C4—216no—
200Dic59⋊C4—48no—
201Dic59⋊C4—44no—
202Dic59⋊C4—44no—
203C4×Dic59—216no—
204C4×Dic59—216no—
205C23×C59—24no—
206C23×C59—24no—
207C23×C59—22no—
208C23×C59—24no—
209C23×C59—24no—
210C23×C59—24no—
211C23×C59—22no—
212C23×C59—22no—
213C23×C59—24no—
214C23×C59—22no—
215C23×C59—24no—
216C23×C59—24no—
217C23×C59—24no—
218C23×C59—24no—
219C23×C59—24no—
220C23×C59—24no—
221C23×C59C2×C4⋊C414yes—
222C23×C59C4×D414yes—
223C23×C59C4×Q814yes—
224C23×C59#12114yes—
225C23×C59C22⋊Q814yes—
226C23×C59#12514yes—
227C23×C59C4⋊Q814yes—
228C23×C59C23×C411yescharacteristic
229C23×C59C22×D411yescharacteristic
230C23×C59C22×D412yes—
231C23×C59C22×D411yescharacteristic
232C23×C59C22×Q811yescharacteristic
233C23×C59C22×Q811yescharacteristic
234C23×C59C2×#4112yes—
235C23×C59C2×#4112yes—
236C23×C59C2×#4111yescharacteristic
237C23×C59C2×#4112yes—
238C23×C59C2×#4111yescharacteristic
239C2×C4×C59—232no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—24no—
245C2×C4×C59—24no—
246C2×C4×C59—24no—
247C2×C4×C59—24no—
248C2×C4×C59—24no—
249C2×C4×C59—42no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—42no—
257C2×C4×C59—41no—
258C2×C4×C59—42no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—42no—
262C2×C4×C59—42no—
263C2×C4×C59#12118yes—
264C2×Dic59—232no—
265C2×Dic59—24no—
266C2×Dic59—24no—
267C2×Dic59—22no—
268C2×Dic59—24no—
269C2×Dic59—24no—
270C2×Dic59—24no—
271C2×Dic59—22no—
272C2×Dic59—24no—
273C2×Dic59—24no—
274C2×Dic59—24no—
275C2×Dic59—232no—
276C2×Dic59—24no—
277C2×Dic59—24no—
278C2×Dic59—24no—
279C2×Dic59—42no—
280C2×Dic59—42no—
281C2×Dic59—42no—
282C2×Dic59—42no—
283C2×Dic59—41no—
284C2×Dic59—42no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—42no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—42no—
292C2×Dic59—42no—
293C2×Dic59C2×C4⋊C414yes—
294C2×Dic59C2×C4⋊C414yes—
295C2×Dic59C4×D418yes—
296C2×Dic59#12014yes—
297C2×Dic59C22⋊Q818yes—
298C2×Dic59C22⋊Q818yes—
299C2×Dic59#12314yes—
300#14697—591nomaximal, Sylow
301C22×C59—24no—
302C22×C59—24no—
303C22×C59—28no—
304C22×C59—24no—
305C22×C59—24no—
306C22×C59—28no—
307C22×C59—24no—
308C22×C59—24no—
309C22×C59—28no—
310C22×C59—28no—
311C22×C59#38918yescomplemented
312C22×C59C22×C4⋊C411yescharacteristic
313C22×C59C2×C4×D412yes—
314C22×C59C2×C4×D411yescharacteristic
315C22×C59C2×C4×Q811yescharacteristic
316C22×C59C4×#4112yes—
317C22×C59C2×#12011yescharacteristic
318C22×C59C2×#12111yescharacteristic
319C22×C59C2×#12112yes—
320C22×C59C2×C22⋊Q812yes—
321C22×C59C2×C22⋊Q812yes—
322C22×C59C2×C22⋊Q811yescharacteristic
323C22×C59C2×#12311yescharacteristic
324C22×C59#52512yes—
325C22×C59#52511yescharacteristic
326C22×C59#52511yescharacteristic
327C22×C59#52512yes—
328C22×C59C2×#12511yescharacteristic
329C22×C59#52912yes—
330C22×C59#52912yes—
331C22×C59C2×C4⋊Q811yescharacteristic
332C22×C59#53212yes—
333C22×C59#53312yes—
334C22×C59#53312yes—
335C4×C59—28no—
336C4×C59—44no—
337C4×C59—81no—
338C4×C59—81no—
339Dic59—28no—
340Dic59—24no—
341Dic59—44no—
342Dic59—81no—
343Dic59—81no—
344Dic59#38518yescomplemented
345C23×C42—591no—
346C2×#389—592no—
347C2×#385—591no—
348C2×#385D5911yescharacteristic
349C2×#380—591no—
350C2×#380—591no—
351#1436—592no—
352#1436—592no—
353C4⋊#95—592no—
354C22⋊#95—591no—
355C22⋊#95—591no—
356C2×C59—28no—
357C2×C59C2×#38511yescharacteristic
358C2×C59C2×#38911yescharacteristic
359C2×C59#229611yescharacteristic
360C2×C59C4×#12112yes—
361C2×C59C4×C22⋊Q812yes—
362C2×C59#284711yescharacteristic
363C2×C59#284811yescharacteristic
364C2×C59#285112yes—
365C2×C59#285411yescharacteristic
366C2×C59#285511yescharacteristic
367C2×C59#285712yes—
368C24×C4—591no—
369C24×C4—591no—
370C24×C4C2×D5911yescharacteristic
371C22×C4⋊C4—592no—
372C22×C4⋊C4—591no—
373C22×C4⋊C4—592no—
374C22×C4⋊C4—591no—
375C22×C4⋊C4C2×D5912yes—
376C22×C22⋊C4—591no—
377C22×C22⋊C4—591no—
378C22×C22⋊C4C2×D5911yescharacteristic
379C22×C22⋊C4C2×D5911yescharacteristic
380C22×C42—592no—
381C22×C42—592no—
382C22×C42—1188no—
383C22×C42—1184no—
384#389—1188no—
385#385—24no—
386#385—1184no—
387#380—598no—
388#380—1184no—
389C2×#95—592no—
390C2×#95—592no—
391C2×#95—592no—
392C2×#95—592no—
393C2×#95—592no—
394C2×#95—592no—
395C2×#95—591no—
396C2×#95—591no—
397C2×#95C2×D5912yes—
398C59#1469711yescharacteristic, complemented, Sylow
399C25C22×D5911yescharacteristic
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—24no—
403C23×C4—24no—
404C23×C4—591no—
405C23×C4—594no—
406C23×C4—594no—
407C23×C4—594no—
408C23×C4—591no—
409C23×C4—592no—
410C23×C4—594no—
411C23×C4—592no—
412C23×C4—591no—
413C23×C4—591no—
414C23×C4—1184no—
415C23×C4—1184no—
416C23×C4—1184no—
417C23×C4—1184no—
418C23×C4—1182no—
419C23×C4—1182no—
420C23×C4C22⋊D5914yes—
421C23×C4C22×D5911yescharacteristic
422C23×C4C22×D5911yescharacteristic
423C23×C4C22×D5912yes—
424C23×C4C22×D5912yes—
425C2×C4⋊C4—24no—
426C2×C4⋊C4—24no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—598no—
429C2×C4⋊C4—1184no—
430C2×C4⋊C4—1184no—
431C2×C4⋊C4—1182no—
432C2×C4⋊C4—1182no—
433C2×C4⋊C4—1184no—
434C2×C4⋊C4—1184no—
435C2×C4⋊C4—1184no—
436C2×C4⋊C4—1184no—
437C2×C4⋊C4—1184no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—22no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—594no—
444C2×C22⋊C4—1182no—
445C2×C22⋊C4—1182no—
446C2×C22⋊C4—1182no—
447C2×C22⋊C4—1182no—
448C2×C22⋊C4—1182no—
449C2×C22⋊C4C4×D5914yes—
450C2×C42—598no—
451C2×C42—1184no—
452C2×C42—1184no—
453C2×C42—1184no—
454C2×C42—1184no—
455C2×C42—11832no—
456C2×C42—1184no—
457#95—24no—
458#95—598no—
459#95—1184no—
460#95—1184no—
461#95—1182no—
462#95—1182no—
463#95—1184no—
464#95—1184no—
465#95—1184no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24C2×C4×D5912yes—
471C24#1174568512yes—
472C24D4×D5912yes—
473C24#1174568712yes—
474C24Q8×D5912yes—
475C24Q8×D5912yes—
476C24C2×C22⋊D5912yes—
477C24C23×D5911yescharacteristic
478C22×C4—28no—
479C22×C4—216no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—216no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—592no—
504C22×C4—594no—
505C22×C4—592no—
506C22×C4—592no—
507C22×C4—594no—
508C22×C4—5916no—
509C22×C4—592no—
510C22×C4—594no—
511C22×C4—592no—
512C22×C4—594no—
513C22×C4—592no—
514C22×C4—594no—
515C22×C4—594no—
516C22×C4—1188no—
517C22×C4—11816no—
518C22×C4—1188no—
519C22×C4—11816no—
520C22×C4—11816no—
521C22×C4—1188no—
522C22×C4—1188no—
523C22×C4—11816no—
524C22×C4—1188no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1182no—
535C22×C4—1182no—
536C22×C4—1182no—
537C22×C4—1181no—
538C22×C4—1181no—
539C22×C4—1182no—
540C22×C4—1181no—
541C22×C4—1181no—
542C22×C4—1182no—
543C22×C4—1182no—
544C22×C4—1181no—
545C22×C4—1181no—
546C22×C4—1182no—
547C22×C4C2×C4×D5914yes—
548C22×C4D4×D5914yes—
549C22×C4#1174568714yes—
550C22×C4C2×C22⋊D5914yes—
551C4⋊C4—48no—
552C4⋊C4—11816no—
553C4⋊C4—2364no—
554C4⋊C4—2364no—
555C4⋊C4—2368no—
556C22⋊C4—28no—
557C22⋊C4—44no—
558C22⋊C4—1188no—
559C22⋊C4—2364no—
560C42—11816no—
561C42—11816no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—22no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—22no—
578C23C4⋊C4×D5914yes—
579C23C4×C22⋊D5914yes—
580C23#1427369214yes—
581C23#1427369914yes—
582C23#1427370514yes—
583C23#1427371714yes—
584C23#1427372514yes—
585C23C22×C4×D5911yescharacteristic
586C23C2×D4×D5912yes—
587C23C2×D4×D5911yescharacteristic
588C23C22×C22⋊D5911yescharacteristic
589C23C2×Q8×D5911yescharacteristic
590C23C2×Q8×D5911yescharacteristic
591C23#41×D5912yes—
592C23#41×D5912yes—
593C23C2×#1174568711yescharacteristic
594C23C2×#1174568712yes—
595C23C2×#1174568511yescharacteristic
596C2×C4—232no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—598no—
621C2×C4—594no—
622C2×C4—594no—
623C2×C4—598no—
624C2×C4—594no—
625C2×C4—598no—
626C2×C4—594no—
627C2×C4—11832no—
628C2×C4—11832no—
629C2×C4—1184no—
630C2×C4—1184no—
631C2×C4—1184no—
632C2×C4—1182no—
633C2×C4—1184no—
634C2×C4—1184no—
635C2×C4—1184no—
636C2×C4—1184no—
637C2×C4—1184no—
638C2×C4—1182no—
639C2×C4—1184no—
640C2×C4—1184no—
641C2×C4—1184no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2362no—
645C2×C4—2361no—
646C2×C4—2362no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2362no—
650C2×C4—2362no—
651C2×C4—2361no—
652C2×C4—2362no—
653C2×C4—2362no—
654C2×C4—2362no—
655C2×C4—2362no—
656C2×C4#1427369918yes—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—28no—
661C22—24no—
662C22—24no—
663C22—28no—
664C22—24no—
665C22—28no—
666C22—28no—
667C22#1683729718yescomplemented
668C22C2×C4⋊C4×D5911yescharacteristic
669C22C4×D4×D5912yes—
670C22C2×C4×C22⋊D5911yescharacteristic
671C22C2×#1427369211yescharacteristic
672C22C4×#1174568712yes—
673C22#120×D5911yescharacteristic
674C22C2×#1427369911yescharacteristic
675C22C2×#1427369912yes—
676C22C22⋊Q8×D5912yes—
677C22C22⋊Q8×D5912yes—
678C22C2×#1427370511yescharacteristic
679C22#123×D5911yescharacteristic
680C22#1683790812yes—
681C22#1683790811yescharacteristic
682C22#1683791011yescharacteristic
683C22#1683791112yes—
684C22C2×#1427371711yescharacteristic
685C22#1683792912yes—
686C22#1683793212yes—
687C22C2×#1427372511yescharacteristic
688C22#1683794812yes—
689C22#1683795412yes—
690C22#1683795412yes—
691C4—28no—
692C4—44no—
693C4—81no—
694C4—81no—
695C4—598no—
696C4—1188no—
697C4—1184no—
698C4—4721no—
699C4—4721no—
700C4—2364no—
701C2—28no—
702C2#385×D5911yescharacteristic
703C2C2×#1683729711yescharacteristic
704C2#2142657511yescharacteristic
705C2C4×#1427369912yes—
706C2#2142662812yes—
707C2#2143237611yescharacteristic
708C2#2143238211yescharacteristic
709C2#2143240212yes—
710C2#2143242511yescharacteristic
711C2#2143243211yescharacteristic
712C2#2143244412yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC2×C59×#385C2
socle, cosocleC24×C59C24
prime radicalC25×C59C23
hypercenterC2×#385D59
hypocenterC59#14697
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C2×#16837297C2semidirect
6. #21422331C2semidirect
7. #21422328C2semidirect
8. Dic59⋊#95C2semidirect
27. #16837260C4semidirect
67. C2×Dic59⋊C4C2×C4semidirect
88. C59⋊#95C2×C4semidirect
181. C22×Dic59C4⋊C4semidirect
311. C22×C59#389semidirect
344. Dic59#385semidirect
398. C59#14697semidirect
667. C22#16837297semidirect

Maximal subgroups

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

subgroupindex
C23×C4×Dic592
C2×#168372972
C2×#168372752
C2×#168372602
#214223312
#214223282
Dic59⋊#952
#214223182
C2×C59×#3852
#1469759