Finite Group Databasebeta

← #36269377

Subgroups — #36269377

Order 21248.

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×Dic166C211yesmaximal, characteristic
2#24916553C214yesmaximal, complemented
3#24916550C214yesmaximal, complemented
4#24916547C214yesmaximal, complemented
5#24916546C212yesmaximal, complemented
6#24916543C212yesmaximal, complemented
7M16×Dic166C214yesmaximal, complemented
8#24916414C214yesmaximal, complemented
9#24916096C211yesmaximal, characteristic
10#24916092C214yesmaximal
11C83×#2920C211yesmaximal, characteristic
12C23×Dic166C411yescharacteristic
13C2×C4×Dic166C412yes—
14C2×C4×Dic166C412yes—
15C2×C4×Dic166C412yes—
16C2×C4×Dic166C412yes—
17C2×C4×Dic166C412yes—
18C2×C4×Dic166C411yescharacteristic
19C2×C4×Dic166C411yescharacteristic
20C2×C4×Dic166C2211yescharacteristic
21C2×C4×Dic166C2211yescharacteristic
22C2×C4×Dic166C2212yes—
23C2×C4×Dic166C2212yes—
24C2×C4×Dic166C2212yes—
25C2×C4×Dic166C2212yes—
26C2×C4×Dic166C2212yes—
27C22×C4⋊Dic83C411yescharacteristic
28C22×Dic83⋊C4C412yes—
29C22×C4×Dic83C2212yes—
30#19127831C2218yescomplemented
31#19127830C22116yescomplemented
32#19127829C22116yescomplemented
33#19127828C2218yescomplemented
34C8×Dic166C2218yescomplemented
35#19127825C2218yescomplemented
36#19127758C2212yes—
37#19127758C2212yes—
38#19127755C2218yes—
39#19127755C2218yes—
40#19127754C2212yes—
41#19127754C2212yes—
42#19127751C2218yes—
43#19127751C2218yes—
44#19127725C2212yes—
45#19127724C2218yes—
46#19127665C2212yes—
47C4×#13050574C2212yes—
48M16×Dic83C2218yes—
49C22×C42×C83C2211yescharacteristic
50#432×C83C2212yes—
51#432×C83C2212yes—
52#431×C83C2212yes—
53#431×C83C2212yes—
54#423×C83C2212yes—
55#407×C83C2212yes—
56C4×M16×C83C2212yes—
57C22×Dic166—28no—
58C22×Dic166C2×C412yes—
59C22×Dic166C2×C412yes—
60C22×Dic166C2×C412yes—
61C22×Dic166C2×C412yes—
62C22×Dic166C2×C412yes—
63C22×Dic166C2×C411yescharacteristic
64C22×Dic166C2×C411yescharacteristic
65C23×Dic83C2×C412yes—
66C23×Dic83C2×C412yes—
67C2×#13050574C2314yes—
68C4×Dic166C2×C412yes—
69C4×Dic166C2×C412yes—
70C4×Dic166C2×C414yes—
71C4×Dic166C2×C414yes—
72C4×Dic166C2×C414yes—
73C4×Dic166C2×C412yes—
74C4×Dic166C2×C414yes—
75C4×Dic166C2×C412yes—
76C4×Dic166C2×C414yes—
77C4×Dic166C2×C412yes—
78C4×Dic166C2×C414yes—
79C4×Dic166C2×C412yes—
80C4×Dic166C2×C412yes—
81C4×Dic166C2×C412yes—
82C4×Dic166C2×C412yes—
83C4×Dic166C2×C412yes—
84C4×Dic166C2×C412yes—
85C4×Dic166C2×C412yes—
86C4×Dic166C2312yes—
87C4×Dic166C2312yes—
88C4×Dic166C2312yes—
89C4×Dic166C2314yes—
90C4×Dic166C2314yes—
91C4×Dic166C2312yes—
92C2×C4⋊Dic83C2×C412yes—
93C2×C4⋊Dic83C2×C412yes—
94C2×C4⋊Dic83C2×C412yes—
95C2×C4⋊Dic83C2×C412yes—
96C2×C4⋊Dic83C2×C412yes—
97C2×C4⋊Dic83C2×C411yescharacteristic
98C2×C4⋊Dic83C2×C411yescharacteristic
99C2×Dic83⋊C4C2×C414yes—
100C2×Dic83⋊C4C2×C414yes—
101C2×Dic83⋊C4C2×C412yes—
102C2×Dic83⋊C4C2×C412yes—
103C2×Dic83⋊C4C2×C414yes—
104C2×Dic83⋊C4C2×C414yes—
105C2×Dic83⋊C4C2×C412yes—
106C2×Dic83⋊C4C2×C412yes—
107C2×C4×Dic83C2×C414yes—
108C2×C4×Dic83C2×C414yes—
109C2×C4×Dic83C2×C412yes—
110C2×C4×Dic83C2×C412yes—
111C2×C4×Dic83C2314yes—
112C2×C4×Dic83C2312yes—
113C2×C4×Dic83C2314yes—
114C2×C4×Dic83C2312yes—
115C4⋊(C83⋊C8)C2314yes—
116C4⋊(C83⋊C8)C2314yes—
117Dic83⋊C8C23116yes—
118Dic83⋊C8C23116yes—
119C22⋊(C83⋊C8)C2314yes—
120C22⋊(C83⋊C8)C2314yes—
121#14581703C2314yes—
122#14581702C23116yes—
123C4×C83⋊C8C2314yes—
124C8×Dic83C23116yes—
125C23×C4×C83C2×C411yescharacteristic
126C23×C4×C83C2×C411yescharacteristic
127C23×C4×C83C2311yescharacteristic
128C2×M16×C83C2314yes—
129C2×C42×C83C2×C411yescharacteristic
130C2×C42×C83C2×C411yescharacteristic
131C2×C42×C83C2×C411yescharacteristic
132C2×C42×C83C2×C411yescharacteristic
133C2×C42×C83C2×C411yescharacteristic
134C2×C42×C83C2×C411yescharacteristic
135C2×C42×C83C2311yescharacteristic
136C2×C42×C83C2311yescharacteristic
137C2×C42×C83C2311yescharacteristic
138C2×C42×C83C2311yescharacteristic
139C2×C42×C83C2311yescharacteristic
140C2×C42×C83C2311yescharacteristic
141C4⋊C8×C83C2314yes—
142C4⋊C8×C83C2314yes—
143C22⋊C8×C83C2314yes—
144C22⋊C8×C83C2314yes—
145#97×C83C2314yes—
146C4×C8×C83C2314yes—
147C2×Dic166—24no—
148C2×Dic166—28no—
149C2×Dic166—28no—
150C2×Dic166—28no—
151C2×Dic166—28no—
152C2×Dic166—28no—
153C2×Dic166M1618yescomplemented
154C2×Dic166C22×C412yes—
155C2×Dic166C22×C412yes—
156C2×Dic166C22×C414yes—
157C2×Dic166C22×C414yes—
158C2×Dic166C22×C412yes—
159C2×Dic166C22×C412yes—
160C22×Dic83—28no—
161C22×Dic83—44no—
162C22×Dic83C22×C412yes—
163C22×Dic83C22×C414yes—
164C22×Dic83C22×C414yes—
165C22×Dic83C22×C414yes—
166C22×Dic83C22×C414yes—
167C22×Dic83C22×C412yes—
168C22×Dic83C22×C412yes—
169C22×Dic83C22×C412yes—
170#13050574—28no—
171C2×C83⋊C8C2418yes—
172C4⋊Dic83C22×C414yes—
173C4⋊Dic83C22×C414yes—
174C4⋊Dic83C22×C412yes—
175C4⋊Dic83C22×C412yes—
176C4⋊Dic83C22×C412yes—
177C4⋊Dic83C22×C412yes—
178Dic83⋊C4C22×C414yes—
179Dic83⋊C4C22×C414yes—
180Dic83⋊C4C22×C414yes—
181Dic83⋊C4C22×C414yes—
182Dic83⋊C4C22×C414yes—
183Dic83⋊C4C22×C414yes—
184Dic83⋊C4C22×C414yes—
185Dic83⋊C4C22×C414yes—
186C4×Dic83C22×C414yes—
187C4×Dic83C22×C414yes—
188C4×Dic83C22×C414yes—
189C4×Dic83C22×C414yes—
190C4×Dic83C22×C414yes—
191C4×Dic83C22×C414yes—
192C4×Dic83C2414yes—
193C4×Dic83C2414yes—
194C24×C83C22×C411yescharacteristic
195C22×C4×C83—24no—
196C22×C4×C83—24no—
197C22×C4×C83—42no—
198C22×C4×C83C22×C411yescharacteristic
199C22×C4×C83C22×C411yescharacteristic
200C22×C4×C83C22×C411yescharacteristic
201C22×C4×C83C22×C411yescharacteristic
202C22×C4×C83C22×C411yescharacteristic
203C22×C4×C83C22×C411yescharacteristic
204C22×C4×C83C22×C411yescharacteristic
205C22×C4×C83C22×C411yescharacteristic
206C22×C4×C83C22×C411yescharacteristic
207C22×C4×C83C22×C411yescharacteristic
208C22×C4×C83C22×C411yescharacteristic
209C22×C4×C83C22×C411yescharacteristic
210C22×C4×C83C22×C411yescharacteristic
211C22×C4×C83C22×C411yescharacteristic
212C22×C4×C83C22×C411yescharacteristic
213C22×C4×C83C2411yescharacteristic
214C22×C4×C83C2411yescharacteristic
215C22×C4×C83C2411yescharacteristic
216M16×C83—28no—
217C2×C8×C83C2418yes—
218C42×C83C22×C411yescharacteristic
219C42×C83C22×C411yescharacteristic
220C42×C83C22×C411yescharacteristic
221C42×C83C22×C411yescharacteristic
222C42×C83C22×C411yescharacteristic
223C42×C83C22×C411yescharacteristic
224C42×C83C22×C411yescharacteristic
225C42×C83C22×C411yescharacteristic
226C42×C83C22×C411yescharacteristic
227C42×C83C22×C411yescharacteristic
228C42×C83C22×C411yescharacteristic
229C42×C83C22×C411yescharacteristic
230C42×C83C2411yescharacteristic
231C42×C83C2411yescharacteristic
232C42×C83C2411yescharacteristic
233C42×C83C2411yescharacteristic
234C23×C83—22no—
235C23×C83—22no—
236C23×C83—22no—
237C23×C83C23×C411yescharacteristic
238C23×C83C23×C411yescharacteristic
239C23×C83C23×C411yescharacteristic
240C2×C4×C83—22no—
241C2×C4×C83—22no—
242C2×C4×C83—22no—
243C2×C4×C83—22no—
244C2×C4×C83—22no—
245C2×C4×C83—22no—
246C2×C4×C83—22no—
247C2×C4×C83—22no—
248C2×C4×C83—22no—
249C2×C4×C83—22no—
250C2×C4×C83—22no—
251C2×C4×C83—22no—
252C2×C4×C83—41no—
253C2×C4×C83—41no—
254C2×C4×C83—41no—
255C2×C4×C83—41no—
256C2×C4×C83C2×M1614yes—
257C2×C4×C83C23×C411yescharacteristic
258C2×C4×C83C23×C411yescharacteristic
259C2×C4×C83C23×C411yescharacteristic
260C2×C4×C83C23×C411yescharacteristic
261C2×C4×C83C23×C411yescharacteristic
262C2×C4×C83C23×C411yescharacteristic
263C2×C4×C83C23×C411yescharacteristic
264C2×C4×C83C23×C411yescharacteristic
265C2×C4×C83C23×C411yescharacteristic
266C2×C4×C83C23×C411yescharacteristic
267C2×C4×C83C23×C411yescharacteristic
268C2×C4×C832−1+414yes—
269C2×C4×C83C2511yescharacteristic
270C2×Dic83—24no—
271C2×Dic83—28no—
272C2×Dic83—28no—
273C2×Dic83—28no—
274C2×Dic83—44no—
275C2×Dic83—42no—
276C2×Dic83—42no—
277C2×Dic83C2×M1618yes—
278C2×Dic83C23×C414yes—
279C2×Dic83C23×C414yes—
280C2×Dic83C23×C414yes—
281C2×Dic83C23×C414yes—
282Dic166—24no—
283Dic166—24no—
284Dic166—28no—
285Dic166—28no—
286Dic166C2×M1618yes—
287Dic166C2×M1618yes—
288C8×C83—28no—
289C83⋊C8—28no—
290C22×C83—28no—
291C22×C83—21no—
292C22×C83—21no—
293C22×C83—21no—
294C22×C83—21no—
295C22×C83—21no—
296C22×C83—21no—
297C22×C83#51912yes—
298C22×C83C22×M1612yes—
299C22×C83#56812yes—
300C22×C83C24×C411yescharacteristic
301C4×C83—21no—
302C4×C83—21no—
303C4×C83—21no—
304C4×C83—21no—
305C4×C83—21no—
306C4×C83—21no—
307C4×C83—21no—
308C4×C83—21no—
309C4×C83#51912yes—
310C4×C83C22×M1612yes—
311C4×C83C22×M1612yes—
312C4×C83C2×2−1+412yes—
313Dic83—24no—
314Dic83—24no—
315Dic83—24no—
316Dic83C22×M1618yes—
317#60248—831nomaximal, Sylow
318C2×C83—22no—
319C2×C83—22no—
320C2×C83—22no—
321C2×C83C2×#51911yescharacteristic
322C2×C83C23×M1611yescharacteristic
323C2×C83C2×#56811yescharacteristic
324C22×C4×Q8—831no—
325#2984—834no—
326#2984—834no—
327#2983—834no—
328#2983—832no—
329#2982—832no—
330Q8×M16—834no—
331Q8×M16—834no—
332#2920—831no—
333#2920—834no—
334#2920D8311yescharacteristic
335C83#6024811yescharacteristic, complemented, Sylow
336C23×Q8—831no—
337C2×C4×Q8—831no—
338C2×C4×Q8—832no—
339C2×C4×Q8—832no—
340C2×C4×Q8—832no—
341C2×C4×Q8—831no—
342C2×C4×Q8—832no—
343C2×C4×Q8—832no—
344C2×C4×Q8—832no—
345C2×C4×Q8—832no—
346C2×C4×Q8—831no—
347C2×C4×Q8—832no—
348C2×C4×Q8—831no—
349C2×C4×Q8—832no—
350C2×C4×Q8—832no—
351C22×C4⋊C4—832no—
352C22×C4⋊C4—831no—
353C22×C42—832no—
354C22×C42C2×D8311yescharacteristic
355#446—838no—
356#446—8316no—
357#446—8316no—
358#446—838no—
359C8×Q8—838no—
360C8×Q8—838no—
361#432—832no—
362#432—832no—
363#432—838no—
364#432—838no—
365#432C2×D8312yes—
366#432C2×D8312yes—
367#431—832no—
368#431—832no—
369#431—838no—
370#431—838no—
371#431C2×D8312yes—
372#431C2×D8312yes—
373#423—838no—
374#423—832no—
375#423C2×D8312yes—
376#407—832no—
377#407C2×D8312yes—
378C4×M16—838no—
379C4×M16—832no—
380C4×M16C2×D8312yes—
381C22×Q8—831no—
382C22×Q8—832no—
383C22×Q8—832no—
384C22×Q8—832no—
385C22×Q8—832no—
386C22×Q8—832no—
387C22×Q8—831no—
388C22×Q8—1668no—
389C23×C4—832no—
390C23×C4—832no—
391C23×C4C4×D8311yescharacteristic
392C23×C4C4×D8311yescharacteristic
393C23×C4C22×D8311yescharacteristic
394C2×M16—834no—
395C2×M16C22×D8314yes—
396C4×Q8—832no—
397C4×Q8—832no—
398C4×Q8—832no—
399C4×Q8—832no—
400C4×Q8—832no—
401C4×Q8—832no—
402C4×Q8—834no—
403C4×Q8—834no—
404C4×Q8—832no—
405C4×Q8—832no—
406C4×Q8—834no—
407C4×Q8—834no—
408C4×Q8—832no—
409C4×Q8—832no—
410C4×Q8—834no—
411C4×Q8—834no—
412C4×Q8—832no—
413C4×Q8—832no—
414C4×Q8—832no—
415C4×Q8—832no—
416C4×Q8—834no—
417C4×Q8—834no—
418C4×Q8—832no—
419C4×Q8—832no—
420C2×C4⋊C4—832no—
421C2×C4⋊C4—832no—
422C2×C4⋊C4—834no—
423C2×C4⋊C4—834no—
424C2×C4⋊C4—832no—
425C2×C4⋊C4—832no—
426C2×C4⋊C4—834no—
427C2×C4⋊C4—834no—
428C2×C4⋊C4—832no—
429C2×C4⋊C4—832no—
430C2×C4⋊C4—832no—
431C2×C4⋊C4—831no—
432C2×C4⋊C4—831no—
433C2×C4⋊C4—832no—
434C2×C4⋊C4—832no—
435C2×C42—832no—
436C2×C42—834no—
437C2×C42—832no—
438C2×C42—834no—
439C2×C42—834no—
440C2×C42—832no—
441C2×C42—834no—
442C2×C42—832no—
443C2×C42C4×D8311yescharacteristic
444C2×C42C4×D8311yescharacteristic
445C2×C42C4×D8311yescharacteristic
446C2×C42C4×D8311yescharacteristic
447C2×C42C4×D8311yescharacteristic
448C2×C42C4×D8311yescharacteristic
449C2×C42C22×D8311yescharacteristic
450C2×C42C22×D8311yescharacteristic
451C2×C42C22×D8311yescharacteristic
452C2×C42C22×D8311yescharacteristic
453C2×C42C22×D8311yescharacteristic
454C2×C42C22×D8311yescharacteristic
455C4⋊C8—8316no—
456C4⋊C8—8316no—
457C4⋊C8—834no—
458C4⋊C8—834no—
459C4⋊C8C22×D8314yes—
460C4⋊C8C22×D8314yes—
461C22⋊C8—834no—
462C22⋊C8—834no—
463C22⋊C8C22×D8314yes—
464C22⋊C8C22×D8314yes—
465#97—8316no—
466#97—834no—
467#97C22×D8314yes—
468C4×C8—8316no—
469C4×C8—834no—
470C4×C8C22×D8314yes—
471C24C2×C4×D8311yescharacteristic
472C2×Q8—838no—
473C2×Q8—832no—
474C2×Q8—832no—
475C2×Q8—834no—
476C2×Q8—834no—
477C2×Q8—832no—
478C2×Q8—832no—
479C2×Q8—1668no—
480C2×Q8—1668no—
481C2×Q8—1668no—
482C2×Q8—1668no—
483C2×Q8—1668no—
484C2×Q8—1664no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—42no—
488C22×C4—3324no—
489C22×C4—834no—
490C22×C4—832no—
491C22×C4—832no—
492C22×C4—832no—
493C22×C4—834no—
494C22×C4—834no—
495C22×C4—834no—
496C22×C4—832no—
497C22×C4—1668no—
498C22×C4C2×C4×D8311yescharacteristic
499C22×C4C2×C4×D8311yescharacteristic
500C22×C4C2×C4×D8311yescharacteristic
501C22×C4C2×C4×D8311yescharacteristic
502C22×C4C2×C4×D8311yescharacteristic
503C22×C4C2×C4×D8311yescharacteristic
504C22×C4C2×C4×D8311yescharacteristic
505C22×C4C2×C4×D8311yescharacteristic
506C22×C4C2×C4×D8311yescharacteristic
507C22×C4C2×C4×D8311yescharacteristic
508C22×C4C2×C4×D8311yescharacteristic
509C22×C4C2×C4×D8311yescharacteristic
510C22×C4C2×C4×D8311yescharacteristic
511C22×C4C2×C4×D8311yescharacteristic
512C22×C4C2×C4×D8311yescharacteristic
513C22×C4C23×D8311yescharacteristic
514C22×C4C23×D8311yescharacteristic
515C22×C4C23×D8311yescharacteristic
516M16—28no—
517M16—1668no—
518C2×C8—838no—
519C2×C8C23×D8318yes—
520C4⋊C4—834no—
521C4⋊C4—834no—
522C4⋊C4—834no—
523C4⋊C4—834no—
524C4⋊C4—834no—
525C4⋊C4—834no—
526C4⋊C4—834no—
527C4⋊C4—834no—
528C4⋊C4—834no—
529C4⋊C4—834no—
530C4⋊C4—832no—
531C4⋊C4—832no—
532C4⋊C4—832no—
533C4⋊C4—832no—
534C42—834no—
535C42—834no—
536C42—834no—
537C42—834no—
538C42—834no—
539C42—834no—
540C42—834no—
541C42—834no—
542C42C2×C4×D8311yescharacteristic
543C42C2×C4×D8311yescharacteristic
544C42C2×C4×D8311yescharacteristic
545C42C2×C4×D8311yescharacteristic
546C42C2×C4×D8311yescharacteristic
547C42C2×C4×D8311yescharacteristic
548C42C2×C4×D8311yescharacteristic
549C42C2×C4×D8311yescharacteristic
550C42C2×C4×D8311yescharacteristic
551C42C2×C4×D8311yescharacteristic
552C42C2×C4×D8311yescharacteristic
553C42C2×C4×D8311yescharacteristic
554C42C23×D8311yescharacteristic
555C42C23×D8311yescharacteristic
556C42C23×D8311yescharacteristic
557C42C23×D8311yescharacteristic
558C23—22no—
559C23—22no—
560C23—22no—
561C23C22×C4×D8311yescharacteristic
562C23C22×C4×D8311yescharacteristic
563C23C22×C4×D8311yescharacteristic
564Q8—838no—
565Q8—838no—
566Q8—1668no—
567Q8—1668no—
568Q8—1664no—
569Q8—1664no—
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—3324no—
587C2×C4—3322no—
588C2×C4—3322no—
589C2×C4—838no—
590C2×C4—834no—
591C2×C4—834no—
592C2×C4—834no—
593C2×C4—834no—
594C2×C4—1668no—
595C2×C4—1668no—
596C2×C4—1664no—
597C2×C4—1668no—
598C2×C4M16×D8314yes—
599C2×C4C22×C4×D8311yescharacteristic
600C2×C4C22×C4×D8311yescharacteristic
601C2×C4C22×C4×D8311yescharacteristic
602C2×C4C22×C4×D8311yescharacteristic
603C2×C4C22×C4×D8311yescharacteristic
604C2×C4C22×C4×D8311yescharacteristic
605C2×C4C22×C4×D8311yescharacteristic
606C2×C4C22×C4×D8311yescharacteristic
607C2×C4C22×C4×D8311yescharacteristic
608C2×C4C22×C4×D8311yescharacteristic
609C2×C4C22×C4×D8311yescharacteristic
610C2×C4#1458183914yes—
611C2×C4C24×D8311yescharacteristic
612C8—28no—
613C8—1668no—
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#1912817812yes—
622C22C2×M16×D8312yes—
623C22#1912846712yes—
624C22C23×C4×D8311yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—838no—
634C4—1664no—
635C4—1664no—
636C4—1664no—
637C4#1912817812yes—
638C4C2×M16×D8312yes—
639C4C2×M16×D8312yes—
640C4C2×#1458183912yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#1912817811yescharacteristic
645C2C22×M16×D8311yescharacteristic
646C2C2×#1912846711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D83
commutator, socleC22×C83C24×C4
FittingC83×#2920C2
prime radicalC24×C83C22×C4
cosocleC2×C4×C83C25
hypercenter#2920D83
hypocenterC83#60248
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #24916553C2semidirect
3. #24916550C2semidirect
4. #24916547C2semidirect
5. #24916546C2semidirect
6. #24916543C2semidirect
7. M16×Dic166C2semidirect
8. #24916414C2semidirect
30. #19127831C22semidirect
31. #19127830C22semidirect
32. #19127829C22semidirect
33. #19127828C22semidirect
34. C8×Dic166C22semidirect
35. #19127825C22semidirect
153. C2×Dic166M16semidirect
335. C83#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic1662
#249165532
#249165502
#249165472
#249165462
#249165432
M16×Dic1662
#249164142
#249160962
#249160922
C83×#29202
#6024883