Finite Group Databasebeta

← #29453662

Subgroups — #29453662

Order 15104.

1974 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic118C211yesmaximal, characteristic
2#21433186C214yesmaximal, complemented
3#21433183C214yesmaximal, complemented
4#21433180C214yesmaximal, complemented
5#21433179C212yesmaximal, complemented
6#21433176C212yesmaximal, complemented
7M16×Dic118C214yesmaximal, complemented
8#21433047C214yesmaximal, complemented
9#21432729C211yesmaximal, characteristic
10#21432725C214yesmaximal
11C59×#2920C211yesmaximal, characteristic
12C23×Dic118C411yescharacteristic
13C2×C4×Dic118C412yes—
14C2×C4×Dic118C412yes—
15C2×C4×Dic118C412yes—
16C2×C4×Dic118C412yes—
17C2×C4×Dic118C412yes—
18C2×C4×Dic118C411yescharacteristic
19C2×C4×Dic118C411yescharacteristic
20C2×C4×Dic118C2211yescharacteristic
21C2×C4×Dic118C2211yescharacteristic
22C2×C4×Dic118C2212yes—
23C2×C4×Dic118C2212yes—
24C2×C4×Dic118C2212yes—
25C2×C4×Dic118C2212yes—
26C2×C4×Dic118C2212yes—
27C22×C4⋊Dic59C411yescharacteristic
28C22×Dic59⋊C4C412yes—
29C22×C4×Dic59C2212yes—
30#16837532C2218yescomplemented
31#16837531C22116yescomplemented
32#16837530C22116yescomplemented
33#16837529C2218yescomplemented
34C8×Dic118C2218yescomplemented
35#16837526C2218yescomplemented
36#16837459C2212yes—
37#16837459C2212yes—
38#16837456C2218yes—
39#16837456C2218yes—
40#16837455C2212yes—
41#16837455C2212yes—
42#16837452C2218yes—
43#16837452C2218yes—
44#16837426C2212yes—
45#16837425C2218yes—
46#16837366C2212yes—
47C4×#11745664C2212yes—
48M16×Dic59C2218yes—
49C22×C42×C59C2211yescharacteristic
50C59×#432C2212yes—
51C59×#432C2212yes—
52C59×#431C2212yes—
53C59×#431C2212yes—
54C59×#423C2212yes—
55C59×#407C2212yes—
56C4×M16×C59C2212yes—
57C22×Dic118—28no—
58C22×Dic118C2×C411yescharacteristic
59C22×Dic118C2×C412yes—
60C22×Dic118C2×C412yes—
61C22×Dic118C2×C412yes—
62C22×Dic118C2×C412yes—
63C22×Dic118C2×C412yes—
64C22×Dic118C2×C411yescharacteristic
65C23×Dic59C2×C412yes—
66C23×Dic59C2×C412yes—
67C2×#11745664C2314yes—
68C4×Dic118C2×C412yes—
69C4×Dic118C2×C412yes—
70C4×Dic118C2×C414yes—
71C4×Dic118C2×C414yes—
72C4×Dic118C2×C412yes—
73C4×Dic118C2×C414yes—
74C4×Dic118C2×C412yes—
75C4×Dic118C2×C414yes—
76C4×Dic118C2×C412yes—
77C4×Dic118C2×C414yes—
78C4×Dic118C2×C412yes—
79C4×Dic118C2×C414yes—
80C4×Dic118C2×C412yes—
81C4×Dic118C2×C412yes—
82C4×Dic118C2×C412yes—
83C4×Dic118C2×C412yes—
84C4×Dic118C2×C412yes—
85C4×Dic118C2×C412yes—
86C4×Dic118C2312yes—
87C4×Dic118C2312yes—
88C4×Dic118C2312yes—
89C4×Dic118C2314yes—
90C4×Dic118C2314yes—
91C4×Dic118C2312yes—
92C2×C4⋊Dic59C2×C412yes—
93C2×C4⋊Dic59C2×C412yes—
94C2×C4⋊Dic59C2×C412yes—
95C2×C4⋊Dic59C2×C412yes—
96C2×C4⋊Dic59C2×C412yes—
97C2×C4⋊Dic59C2×C411yescharacteristic
98C2×C4⋊Dic59C2×C411yescharacteristic
99C2×Dic59⋊C4C2×C414yes—
100C2×Dic59⋊C4C2×C414yes—
101C2×Dic59⋊C4C2×C412yes—
102C2×Dic59⋊C4C2×C412yes—
103C2×Dic59⋊C4C2×C414yes—
104C2×Dic59⋊C4C2×C414yes—
105C2×Dic59⋊C4C2×C412yes—
106C2×Dic59⋊C4C2×C412yes—
107C2×C4×Dic59C2×C414yes—
108C2×C4×Dic59C2×C412yes—
109C2×C4×Dic59C2×C414yes—
110C2×C4×Dic59C2×C412yes—
111C2×C4×Dic59C2314yes—
112C2×C4×Dic59C2312yes—
113C2×C4×Dic59C2314yes—
114C2×C4×Dic59C2312yes—
115C4⋊(C59⋊C8)C2314yes—
116C4⋊(C59⋊C8)C2314yes—
117Dic59⋊C8C23116yes—
118Dic59⋊C8C23116yes—
119C22⋊(C59⋊C8)C2314yes—
120C22⋊(C59⋊C8)C2314yes—
121#14273638C2314yes—
122#14273637C23116yes—
123C4×C59⋊C8C2314yes—
124C8×Dic59C23116yes—
125C23×C4×C59C2×C411yescharacteristic
126C23×C4×C59C2×C411yescharacteristic
127C23×C4×C59C2311yescharacteristic
128C2×M16×C59C2314yes—
129C2×C42×C59C2×C411yescharacteristic
130C2×C42×C59C2×C411yescharacteristic
131C2×C42×C59C2×C411yescharacteristic
132C2×C42×C59C2×C411yescharacteristic
133C2×C42×C59C2×C411yescharacteristic
134C2×C42×C59C2×C411yescharacteristic
135C2×C42×C59C2311yescharacteristic
136C2×C42×C59C2311yescharacteristic
137C2×C42×C59C2311yescharacteristic
138C2×C42×C59C2311yescharacteristic
139C2×C42×C59C2311yescharacteristic
140C2×C42×C59C2311yescharacteristic
141C4⋊C8×C59C2314yes—
142C4⋊C8×C59C2314yes—
143C22⋊C8×C59C2314yes—
144C22⋊C8×C59C2314yes—
145#97×C59C2314yes—
146C4×C8×C59C2314yes—
147C24×C59C22×C411yescharacteristic
148C22×C4×C59—24no—
149C22×C4×C59—24no—
150C22×C4×C59—42no—
151C22×C4×C59C22×C411yescharacteristic
152C22×C4×C59C22×C411yescharacteristic
153C22×C4×C59C22×C411yescharacteristic
154C22×C4×C59C22×C411yescharacteristic
155C22×C4×C59C22×C411yescharacteristic
156C22×C4×C59C22×C411yescharacteristic
157C22×C4×C59C22×C411yescharacteristic
158C22×C4×C59C22×C411yescharacteristic
159C22×C4×C59C22×C411yescharacteristic
160C22×C4×C59C22×C411yescharacteristic
161C22×C4×C59C22×C411yescharacteristic
162C22×C4×C59C22×C411yescharacteristic
163C22×C4×C59C22×C411yescharacteristic
164C22×C4×C59C22×C411yescharacteristic
165C22×C4×C59C22×C411yescharacteristic
166C22×C4×C59C2411yescharacteristic
167C22×C4×C59C2411yescharacteristic
168C22×C4×C59C2411yescharacteristic
169C22×Dic59—28no—
170C22×Dic59—44no—
171C22×Dic59C22×C414yes—
172C22×Dic59C22×C412yes—
173C22×Dic59C22×C414yes—
174C22×Dic59C22×C414yes—
175C22×Dic59C22×C414yes—
176C22×Dic59C22×C412yes—
177C22×Dic59C22×C412yes—
178C22×Dic59C22×C412yes—
179C2×Dic118—24no—
180C2×Dic118—28no—
181C2×Dic118—28no—
182C2×Dic118—28no—
183C2×Dic118—28no—
184C2×Dic118—28no—
185C2×Dic118M1618yescomplemented
186C2×Dic118C22×C412yes—
187C2×Dic118C22×C412yes—
188C2×Dic118C22×C414yes—
189C2×Dic118C22×C414yes—
190C2×Dic118C22×C412yes—
191C2×Dic118C22×C412yes—
192M16×C59—28no—
193C2×C8×C59C2418yes—
194C42×C59C22×C411yescharacteristic
195C42×C59C22×C411yescharacteristic
196C42×C59C22×C411yescharacteristic
197C42×C59C22×C411yescharacteristic
198C42×C59C22×C411yescharacteristic
199C42×C59C22×C411yescharacteristic
200C42×C59C22×C411yescharacteristic
201C42×C59C22×C411yescharacteristic
202C42×C59C22×C411yescharacteristic
203C42×C59C22×C411yescharacteristic
204C42×C59C22×C411yescharacteristic
205C42×C59C22×C411yescharacteristic
206C42×C59C2411yescharacteristic
207C42×C59C2411yescharacteristic
208C42×C59C2411yescharacteristic
209C42×C59C2411yescharacteristic
210C4⋊Dic59C22×C414yes—
211C4⋊Dic59C22×C414yes—
212C4⋊Dic59C22×C412yes—
213C4⋊Dic59C22×C412yes—
214C4⋊Dic59C22×C412yes—
215C4⋊Dic59C22×C412yes—
216Dic59⋊C4C22×C414yes—
217Dic59⋊C4C22×C414yes—
218Dic59⋊C4C22×C414yes—
219Dic59⋊C4C22×C414yes—
220Dic59⋊C4C22×C414yes—
221Dic59⋊C4C22×C414yes—
222Dic59⋊C4C22×C414yes—
223Dic59⋊C4C22×C414yes—
224C4×Dic59C22×C414yes—
225C4×Dic59C22×C414yes—
226C4×Dic59C22×C414yes—
227C4×Dic59C22×C414yes—
228C4×Dic59C22×C414yes—
229C4×Dic59C22×C414yes—
230C4×Dic59C2414yes—
231C4×Dic59C2414yes—
232#11745664—28no—
233C2×C59⋊C8C2418yes—
234C23×C59—22no—
235C23×C59—22no—
236C23×C59—22no—
237C23×C59C23×C411yescharacteristic
238C23×C59C23×C411yescharacteristic
239C23×C59C23×C411yescharacteristic
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59C2×M1614yes—
257C2×C4×C59C23×C411yescharacteristic
258C2×C4×C59C23×C411yescharacteristic
259C2×C4×C59C23×C411yescharacteristic
260C2×C4×C59C23×C411yescharacteristic
261C2×C4×C59C23×C411yescharacteristic
262C2×C4×C59C23×C411yescharacteristic
263C2×C4×C59C23×C411yescharacteristic
264C2×C4×C59C23×C411yescharacteristic
265C2×C4×C59C23×C411yescharacteristic
266C2×C4×C59C23×C411yescharacteristic
267C2×C4×C59C23×C411yescharacteristic
268C2×C4×C592−1+414yes—
269C2×C4×C59C2511yescharacteristic
270C2×Dic59—24no—
271C2×Dic59—28no—
272C2×Dic59—28no—
273C2×Dic59—28no—
274C2×Dic59—44no—
275C2×Dic59—42no—
276C2×Dic59—42no—
277C2×Dic59C2×M1618yes—
278C2×Dic59C23×C414yes—
279C2×Dic59C23×C414yes—
280C2×Dic59C23×C414yes—
281C2×Dic59C23×C414yes—
282Dic118—24no—
283Dic118—24no—
284Dic118—28no—
285Dic118—28no—
286Dic118C2×M1618yes—
287Dic118C2×M1618yes—
288C8×C59—28no—
289C59⋊C8—28no—
290#60248—591nomaximal, Sylow
291C22×C59—28no—
292C22×C59—21no—
293C22×C59—21no—
294C22×C59—21no—
295C22×C59—21no—
296C22×C59—21no—
297C22×C59—21no—
298C22×C59#51912yes—
299C22×C59C22×M1612yes—
300C22×C59#56812yes—
301C22×C59C24×C411yescharacteristic
302C4×C59—21no—
303C4×C59—21no—
304C4×C59—21no—
305C4×C59—21no—
306C4×C59—21no—
307C4×C59—21no—
308C4×C59—21no—
309C4×C59—21no—
310C4×C59#51912yes—
311C4×C59C22×M1612yes—
312C4×C59C22×M1612yes—
313C4×C59C2×2−1+412yes—
314Dic59—24no—
315Dic59—24no—
316Dic59—24no—
317Dic59C22×M1618yes—
318C22×C4×Q8—591no—
319#2984—594no—
320#2984—594no—
321#2983—594no—
322#2983—592no—
323#2982—592no—
324Q8×M16—594no—
325Q8×M16—594no—
326#2920—591no—
327#2920—594no—
328#2920D5911yescharacteristic
329C2×C59—22no—
330C2×C59—22no—
331C2×C59—22no—
332C2×C59C2×#51911yescharacteristic
333C2×C59C23×M1611yescharacteristic
334C2×C59C2×#56811yescharacteristic
335C23×Q8—591no—
336C2×C4×Q8—591no—
337C2×C4×Q8—592no—
338C2×C4×Q8—592no—
339C2×C4×Q8—592no—
340C2×C4×Q8—592no—
341C2×C4×Q8—592no—
342C2×C4×Q8—591no—
343C2×C4×Q8—592no—
344C2×C4×Q8—592no—
345C2×C4×Q8—591no—
346C2×C4×Q8—592no—
347C2×C4×Q8—591no—
348C2×C4×Q8—592no—
349C2×C4×Q8—592no—
350C22×C4⋊C4—592no—
351C22×C4⋊C4—591no—
352C22×C42—592no—
353C22×C42C2×D5911yescharacteristic
354#446—598no—
355#446—5916no—
356#446—5916no—
357#446—598no—
358C8×Q8—598no—
359C8×Q8—598no—
360#432—592no—
361#432—592no—
362#432—598no—
363#432—598no—
364#432C2×D5912yes—
365#432C2×D5912yes—
366#431—592no—
367#431—592no—
368#431—598no—
369#431—598no—
370#431C2×D5912yes—
371#431C2×D5912yes—
372#423—598no—
373#423—592no—
374#423C2×D5912yes—
375#407—592no—
376#407C2×D5912yes—
377C4×M16—598no—
378C4×M16—592no—
379C4×M16C2×D5912yes—
380C59#6024811yescharacteristic, complemented, Sylow
381C22×Q8—591no—
382C22×Q8—592no—
383C22×Q8—592no—
384C22×Q8—592no—
385C22×Q8—592no—
386C22×Q8—592no—
387C22×Q8—591no—
388C22×Q8—1188no—
389C23×C4—592no—
390C23×C4—592no—
391C23×C4C4×D5911yescharacteristic
392C23×C4C4×D5911yescharacteristic
393C23×C4C22×D5911yescharacteristic
394C2×M16—594no—
395C2×M16C22×D5914yes—
396C4×Q8—592no—
397C4×Q8—592no—
398C4×Q8—592no—
399C4×Q8—592no—
400C4×Q8—592no—
401C4×Q8—592no—
402C4×Q8—594no—
403C4×Q8—594no—
404C4×Q8—592no—
405C4×Q8—592no—
406C4×Q8—594no—
407C4×Q8—594no—
408C4×Q8—592no—
409C4×Q8—592no—
410C4×Q8—594no—
411C4×Q8—594no—
412C4×Q8—592no—
413C4×Q8—592no—
414C4×Q8—592no—
415C4×Q8—592no—
416C4×Q8—594no—
417C4×Q8—594no—
418C4×Q8—592no—
419C4×Q8—592no—
420C2×C4⋊C4—592no—
421C2×C4⋊C4—592no—
422C2×C4⋊C4—594no—
423C2×C4⋊C4—594no—
424C2×C4⋊C4—594no—
425C2×C4⋊C4—594no—
426C2×C4⋊C4—592no—
427C2×C4⋊C4—592no—
428C2×C4⋊C4—592no—
429C2×C4⋊C4—592no—
430C2×C4⋊C4—592no—
431C2×C4⋊C4—592no—
432C2×C4⋊C4—592no—
433C2×C4⋊C4—591no—
434C2×C4⋊C4—591no—
435C2×C42—592no—
436C2×C42—594no—
437C2×C42—594no—
438C2×C42—592no—
439C2×C42—594no—
440C2×C42—592no—
441C2×C42—594no—
442C2×C42—592no—
443C2×C42C4×D5911yescharacteristic
444C2×C42C4×D5911yescharacteristic
445C2×C42C4×D5911yescharacteristic
446C2×C42C4×D5911yescharacteristic
447C2×C42C4×D5911yescharacteristic
448C2×C42C4×D5911yescharacteristic
449C2×C42C22×D5911yescharacteristic
450C2×C42C22×D5911yescharacteristic
451C2×C42C22×D5911yescharacteristic
452C2×C42C22×D5911yescharacteristic
453C2×C42C22×D5911yescharacteristic
454C2×C42C22×D5911yescharacteristic
455C4⋊C8—5916no—
456C4⋊C8—5916no—
457C4⋊C8—594no—
458C4⋊C8—594no—
459C4⋊C8C22×D5914yes—
460C4⋊C8C22×D5914yes—
461C22⋊C8—594no—
462C22⋊C8—594no—
463C22⋊C8C22×D5914yes—
464C22⋊C8C22×D5914yes—
465#97—5916no—
466#97—594no—
467#97C22×D5914yes—
468C4×C8—5916no—
469C4×C8—594no—
470C4×C8C22×D5914yes—
471C24C2×C4×D5911yescharacteristic
472C2×Q8—598no—
473C2×Q8—592no—
474C2×Q8—592no—
475C2×Q8—594no—
476C2×Q8—594no—
477C2×Q8—592no—
478C2×Q8—592no—
479C2×Q8—1188no—
480C2×Q8—1188no—
481C2×Q8—1188no—
482C2×Q8—1188no—
483C2×Q8—1188no—
484C2×Q8—1184no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—42no—
488C22×C4—592no—
489C22×C4—594no—
490C22×C4—594no—
491C22×C4—594no—
492C22×C4—592no—
493C22×C4—592no—
494C22×C4—592no—
495C22×C4—594no—
496C22×C4—1188no—
497C22×C4—2364no—
498C22×C4C2×C4×D5911yescharacteristic
499C22×C4C2×C4×D5911yescharacteristic
500C22×C4C2×C4×D5911yescharacteristic
501C22×C4C2×C4×D5911yescharacteristic
502C22×C4C2×C4×D5911yescharacteristic
503C22×C4C2×C4×D5911yescharacteristic
504C22×C4C2×C4×D5911yescharacteristic
505C22×C4C2×C4×D5911yescharacteristic
506C22×C4C2×C4×D5911yescharacteristic
507C22×C4C2×C4×D5911yescharacteristic
508C22×C4C2×C4×D5911yescharacteristic
509C22×C4C2×C4×D5911yescharacteristic
510C22×C4C2×C4×D5911yescharacteristic
511C22×C4C2×C4×D5911yescharacteristic
512C22×C4C2×C4×D5911yescharacteristic
513C22×C4C23×D5911yescharacteristic
514C22×C4C23×D5911yescharacteristic
515C22×C4C23×D5911yescharacteristic
516M16—28no—
517M16—1188no—
518C2×C8—598no—
519C2×C8C23×D5918yes—
520C4⋊C4—594no—
521C4⋊C4—594no—
522C4⋊C4—594no—
523C4⋊C4—594no—
524C4⋊C4—594no—
525C4⋊C4—594no—
526C4⋊C4—594no—
527C4⋊C4—594no—
528C4⋊C4—594no—
529C4⋊C4—594no—
530C4⋊C4—592no—
531C4⋊C4—592no—
532C4⋊C4—592no—
533C4⋊C4—592no—
534C42—594no—
535C42—594no—
536C42—594no—
537C42—594no—
538C42—594no—
539C42—594no—
540C42—594no—
541C42—594no—
542C42C2×C4×D5911yescharacteristic
543C42C2×C4×D5911yescharacteristic
544C42C2×C4×D5911yescharacteristic
545C42C2×C4×D5911yescharacteristic
546C42C2×C4×D5911yescharacteristic
547C42C2×C4×D5911yescharacteristic
548C42C2×C4×D5911yescharacteristic
549C42C2×C4×D5911yescharacteristic
550C42C2×C4×D5911yescharacteristic
551C42C2×C4×D5911yescharacteristic
552C42C2×C4×D5911yescharacteristic
553C42C2×C4×D5911yescharacteristic
554C42C23×D5911yescharacteristic
555C42C23×D5911yescharacteristic
556C42C23×D5911yescharacteristic
557C42C23×D5911yescharacteristic
558C23—22no—
559C23—22no—
560C23—22no—
561C23C22×C4×D5911yescharacteristic
562C23C22×C4×D5911yescharacteristic
563C23C22×C4×D5911yescharacteristic
564Q8—598no—
565Q8—598no—
566Q8—1188no—
567Q8—1188no—
568Q8—1184no—
569Q8—1184no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—598no—
587C2×C4—594no—
588C2×C4—594no—
589C2×C4—594no—
590C2×C4—594no—
591C2×C4—1188no—
592C2×C4—1188no—
593C2×C4—1184no—
594C2×C4—1188no—
595C2×C4—2362no—
596C2×C4—2362no—
597C2×C4—2364no—
598C2×C4M16×D5914yes—
599C2×C4C22×C4×D5911yescharacteristic
600C2×C4C22×C4×D5911yescharacteristic
601C2×C4C22×C4×D5911yescharacteristic
602C2×C4C22×C4×D5911yescharacteristic
603C2×C4C22×C4×D5911yescharacteristic
604C2×C4C22×C4×D5911yescharacteristic
605C2×C4C22×C4×D5911yescharacteristic
606C2×C4C22×C4×D5911yescharacteristic
607C2×C4C22×C4×D5911yescharacteristic
608C2×C4C22×C4×D5911yescharacteristic
609C2×C4C22×C4×D5911yescharacteristic
610C2×C4#1427377414yes—
611C2×C4C24×D5911yescharacteristic
612C8—28no—
613C8—1188no—
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#1683787912yes—
622C22C2×M16×D5912yes—
623C22#1683816812yes—
624C22C23×C4×D5911yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—598no—
634C4—1184no—
635C4—1184no—
636C4—1184no—
637C4#1683787912yes—
638C4C2×M16×D5912yes—
639C4C2×M16×D5912yes—
640C4C2×#1427377412yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#1683787911yescharacteristic
645C2C22×M16×D5911yescharacteristic
646C2C2×#1683816811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D59
commutator, socleC22×C59C24×C4
FittingC59×#2920C2
prime radicalC24×C59C22×C4
cosocleC2×C4×C59C25
hypercenter#2920D59
hypocenterC59#60248
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #21433186C2semidirect
3. #21433183C2semidirect
4. #21433180C2semidirect
5. #21433179C2semidirect
6. #21433176C2semidirect
7. M16×Dic118C2semidirect
8. #21433047C2semidirect
30. #16837532C22semidirect
31. #16837531C22semidirect
32. #16837530C22semidirect
33. #16837529C22semidirect
34. C8×Dic118C22semidirect
35. #16837526C22semidirect
185. C2×Dic118M16semidirect
380. C59#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic1182
#214331862
#214331832
#214331802
#214331792
#214331762
M16×Dic1182
#214330472
#214327292
#214327252
C59×#29202
#6024859