Finite Group Databasebeta

← #35153242

Subgroups — #35153242

Order 20224.

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×Dic158C211yesmaximal, characteristic
2#23772490C214yesmaximal, complemented
3#23772487C214yesmaximal, complemented
4#23772484C214yesmaximal, complemented
5#23772483C212yesmaximal, complemented
6#23772480C212yesmaximal, complemented
7M16×Dic158C214yesmaximal, complemented
8#23772351C214yesmaximal, complemented
9#23772033C211yesmaximal, characteristic
10#23772029C214yesmaximal
11C79×#2920C211yesmaximal, characteristic
12C23×Dic158C411yescharacteristic
13C2×C4×Dic158C412yes—
14C2×C4×Dic158C412yes—
15C2×C4×Dic158C412yes—
16C2×C4×Dic158C412yes—
17C2×C4×Dic158C411yescharacteristic
18C2×C4×Dic158C412yes—
19C2×C4×Dic158C411yescharacteristic
20C2×C4×Dic158C2211yescharacteristic
21C2×C4×Dic158C2211yescharacteristic
22C2×C4×Dic158C2212yes—
23C2×C4×Dic158C2212yes—
24C2×C4×Dic158C2212yes—
25C2×C4×Dic158C2212yes—
26C2×C4×Dic158C2212yes—
27C22×C4⋊Dic79C411yescharacteristic
28C22×Dic79⋊C4C412yes—
29C22×C4×Dic79C2212yes—
30#19098693C2218yescomplemented
31#19098692C22116yescomplemented
32#19098691C22116yescomplemented
33#19098690C2218yescomplemented
34C8×Dic158C2218yescomplemented
35#19098687C2218yescomplemented
36#19098620C2212yes—
37#19098620C2212yes—
38#19098617C2218yes—
39#19098617C2218yes—
40#19098616C2212yes—
41#19098616C2212yes—
42#19098613C2218yes—
43#19098613C2218yes—
44#19098587C2212yes—
45#19098586C2218yes—
46#19098527C2212yes—
47C4×#11929608C2212yes—
48M16×Dic79C2218yes—
49C22×C42×C79C2211yescharacteristic
50#432×C79C2212yes—
51#432×C79C2212yes—
52#431×C79C2212yes—
53#431×C79C2212yes—
54#423×C79C2212yes—
55#407×C79C2212yes—
56C4×M16×C79C2212yes—
57C22×Dic158—28no—
58C22×Dic158C2×C412yes—
59C22×Dic158C2×C412yes—
60C22×Dic158C2×C412yes—
61C22×Dic158C2×C412yes—
62C22×Dic158C2×C411yescharacteristic
63C22×Dic158C2×C412yes—
64C22×Dic158C2×C411yescharacteristic
65C23×Dic79C2×C412yes—
66C23×Dic79C2×C412yes—
67C2×#11929608C2314yes—
68C4×Dic158C2×C412yes—
69C4×Dic158C2×C412yes—
70C4×Dic158C2×C414yes—
71C4×Dic158C2×C414yes—
72C4×Dic158C2×C412yes—
73C4×Dic158C2×C414yes—
74C4×Dic158C2×C412yes—
75C4×Dic158C2×C414yes—
76C4×Dic158C2×C412yes—
77C4×Dic158C2×C414yes—
78C4×Dic158C2×C412yes—
79C4×Dic158C2×C414yes—
80C4×Dic158C2×C412yes—
81C4×Dic158C2×C412yes—
82C4×Dic158C2×C412yes—
83C4×Dic158C2×C412yes—
84C4×Dic158C2×C412yes—
85C4×Dic158C2×C412yes—
86C4×Dic158C2312yes—
87C4×Dic158C2312yes—
88C4×Dic158C2312yes—
89C4×Dic158C2314yes—
90C4×Dic158C2314yes—
91C4×Dic158C2312yes—
92C2×C4⋊Dic79C2×C412yes—
93C2×C4⋊Dic79C2×C412yes—
94C2×C4⋊Dic79C2×C412yes—
95C2×C4⋊Dic79C2×C412yes—
96C2×C4⋊Dic79C2×C412yes—
97C2×C4⋊Dic79C2×C411yescharacteristic
98C2×C4⋊Dic79C2×C411yescharacteristic
99C2×Dic79⋊C4C2×C414yes—
100C2×Dic79⋊C4C2×C414yes—
101C2×Dic79⋊C4C2×C412yes—
102C2×Dic79⋊C4C2×C412yes—
103C2×Dic79⋊C4C2×C414yes—
104C2×Dic79⋊C4C2×C414yes—
105C2×Dic79⋊C4C2×C412yes—
106C2×Dic79⋊C4C2×C412yes—
107C2×C4×Dic79C2×C414yes—
108C2×C4×Dic79C2×C412yes—
109C2×C4×Dic79C2×C414yes—
110C2×C4×Dic79C2×C412yes—
111C2×C4×Dic79C2314yes—
112C2×C4×Dic79C2312yes—
113C2×C4×Dic79C2314yes—
114C2×C4×Dic79C2312yes—
115C4⋊(C79⋊C8)C2314yes—
116C4⋊(C79⋊C8)C2314yes—
117Dic79⋊C8C23116yes—
118Dic79⋊C8C23116yes—
119C22⋊(C79⋊C8)C2314yes—
120C22⋊(C79⋊C8)C2314yes—
121#14579072C2314yes—
122#14579071C23116yes—
123C4×C79⋊C8C2314yes—
124C8×Dic79C23116yes—
125C23×C4×C79C2×C411yescharacteristic
126C23×C4×C79C2×C411yescharacteristic
127C23×C4×C79C2311yescharacteristic
128C2×M16×C79C2314yes—
129C2×C42×C79C2×C411yescharacteristic
130C2×C42×C79C2×C411yescharacteristic
131C2×C42×C79C2×C411yescharacteristic
132C2×C42×C79C2×C411yescharacteristic
133C2×C42×C79C2×C411yescharacteristic
134C2×C42×C79C2×C411yescharacteristic
135C2×C42×C79C2311yescharacteristic
136C2×C42×C79C2311yescharacteristic
137C2×C42×C79C2311yescharacteristic
138C2×C42×C79C2311yescharacteristic
139C2×C42×C79C2311yescharacteristic
140C2×C42×C79C2311yescharacteristic
141C4⋊C8×C79C2314yes—
142C4⋊C8×C79C2314yes—
143C22⋊C8×C79C2314yes—
144C22⋊C8×C79C2314yes—
145#97×C79C2314yes—
146C4×C8×C79C2314yes—
147C2×Dic158—28no—
148C2×Dic158—28no—
149C2×Dic158—28no—
150C2×Dic158—28no—
151C2×Dic158—28no—
152C2×Dic158—24no—
153C2×Dic158M1618yescomplemented
154C2×Dic158C22×C414yes—
155C2×Dic158C22×C414yes—
156C2×Dic158C22×C412yes—
157C2×Dic158C22×C412yes—
158C2×Dic158C22×C412yes—
159C2×Dic158C22×C412yes—
160C22×Dic79—28no—
161C22×Dic79—44no—
162C22×Dic79C22×C414yes—
163C22×Dic79C22×C412yes—
164C22×Dic79C22×C414yes—
165C22×Dic79C22×C414yes—
166C22×Dic79C22×C414yes—
167C22×Dic79C22×C412yes—
168C22×Dic79C22×C412yes—
169C22×Dic79C22×C412yes—
170#11929608—28no—
171C2×C79⋊C8C2418yes—
172C4⋊Dic79C22×C414yes—
173C4⋊Dic79C22×C414yes—
174C4⋊Dic79C22×C412yes—
175C4⋊Dic79C22×C412yes—
176C4⋊Dic79C22×C412yes—
177C4⋊Dic79C22×C412yes—
178Dic79⋊C4C22×C414yes—
179Dic79⋊C4C22×C414yes—
180Dic79⋊C4C22×C414yes—
181Dic79⋊C4C22×C414yes—
182Dic79⋊C4C22×C414yes—
183Dic79⋊C4C22×C414yes—
184Dic79⋊C4C22×C414yes—
185Dic79⋊C4C22×C414yes—
186C4×Dic79C22×C414yes—
187C4×Dic79C22×C414yes—
188C4×Dic79C22×C414yes—
189C4×Dic79C22×C414yes—
190C4×Dic79C22×C414yes—
191C4×Dic79C22×C414yes—
192C4×Dic79C2414yes—
193C4×Dic79C2414yes—
194C24×C79C22×C411yescharacteristic
195C22×C4×C79—24no—
196C22×C4×C79—24no—
197C22×C4×C79—42no—
198C22×C4×C79C22×C411yescharacteristic
199C22×C4×C79C22×C411yescharacteristic
200C22×C4×C79C22×C411yescharacteristic
201C22×C4×C79C22×C411yescharacteristic
202C22×C4×C79C22×C411yescharacteristic
203C22×C4×C79C22×C411yescharacteristic
204C22×C4×C79C22×C411yescharacteristic
205C22×C4×C79C22×C411yescharacteristic
206C22×C4×C79C22×C411yescharacteristic
207C22×C4×C79C22×C411yescharacteristic
208C22×C4×C79C22×C411yescharacteristic
209C22×C4×C79C22×C411yescharacteristic
210C22×C4×C79C22×C411yescharacteristic
211C22×C4×C79C22×C411yescharacteristic
212C22×C4×C79C22×C411yescharacteristic
213C22×C4×C79C2411yescharacteristic
214C22×C4×C79C2411yescharacteristic
215C22×C4×C79C2411yescharacteristic
216M16×C79—28no—
217C2×C8×C79C2418yes—
218C42×C79C22×C411yescharacteristic
219C42×C79C22×C411yescharacteristic
220C42×C79C22×C411yescharacteristic
221C42×C79C22×C411yescharacteristic
222C42×C79C22×C411yescharacteristic
223C42×C79C22×C411yescharacteristic
224C42×C79C22×C411yescharacteristic
225C42×C79C22×C411yescharacteristic
226C42×C79C22×C411yescharacteristic
227C42×C79C22×C411yescharacteristic
228C42×C79C22×C411yescharacteristic
229C42×C79C22×C411yescharacteristic
230C42×C79C2411yescharacteristic
231C42×C79C2411yescharacteristic
232C42×C79C2411yescharacteristic
233C42×C79C2411yescharacteristic
234C23×C79—22no—
235C23×C79—22no—
236C23×C79—22no—
237C23×C79C23×C411yescharacteristic
238C23×C79C23×C411yescharacteristic
239C23×C79C23×C411yescharacteristic
240C2×C4×C79—22no—
241C2×C4×C79—22no—
242C2×C4×C79—22no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—22no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—41no—
253C2×C4×C79—41no—
254C2×C4×C79—41no—
255C2×C4×C79—41no—
256C2×C4×C79C2×M1614yes—
257C2×C4×C79C23×C411yescharacteristic
258C2×C4×C79C23×C411yescharacteristic
259C2×C4×C79C23×C411yescharacteristic
260C2×C4×C79C23×C411yescharacteristic
261C2×C4×C79C23×C411yescharacteristic
262C2×C4×C79C23×C411yescharacteristic
263C2×C4×C79C23×C411yescharacteristic
264C2×C4×C79C23×C411yescharacteristic
265C2×C4×C79C23×C411yescharacteristic
266C2×C4×C79C23×C411yescharacteristic
267C2×C4×C79C23×C411yescharacteristic
268C2×C4×C792−1+414yes—
269C2×C4×C79C2511yescharacteristic
270C2×Dic79—24no—
271C2×Dic79—28no—
272C2×Dic79—28no—
273C2×Dic79—28no—
274C2×Dic79—44no—
275C2×Dic79—42no—
276C2×Dic79—42no—
277C2×Dic79C2×M1618yes—
278C2×Dic79C23×C414yes—
279C2×Dic79C23×C414yes—
280C2×Dic79C23×C414yes—
281C2×Dic79C23×C414yes—
282Dic158—24no—
283Dic158—24no—
284Dic158—28no—
285Dic158—28no—
286Dic158C2×M1618yes—
287Dic158C2×M1618yes—
288C8×C79—28no—
289C79⋊C8—28no—
290C22×C79—28no—
291C22×C79—21no—
292C22×C79—21no—
293C22×C79—21no—
294C22×C79—21no—
295C22×C79—21no—
296C22×C79—21no—
297C22×C79#51912yes—
298C22×C79C22×M1612yes—
299C22×C79#56812yes—
300C22×C79C24×C411yescharacteristic
301C4×C79—21no—
302C4×C79—21no—
303C4×C79—21no—
304C4×C79—21no—
305C4×C79—21no—
306C4×C79—21no—
307C4×C79—21no—
308C4×C79—21no—
309C4×C79#51912yes—
310C4×C79C22×M1612yes—
311C4×C79C22×M1612yes—
312C4×C79C2×2−1+412yes—
313Dic79—24no—
314Dic79—24no—
315Dic79—24no—
316Dic79C22×M1618yes—
317#60248—791nomaximal, Sylow
318C2×C79—22no—
319C2×C79—22no—
320C2×C79—22no—
321C2×C79C2×#51911yescharacteristic
322C2×C79C23×M1611yescharacteristic
323C2×C79C2×#56811yescharacteristic
324C22×C4×Q8—791no—
325#2984—794no—
326#2984—794no—
327#2983—794no—
328#2983—792no—
329#2982—792no—
330Q8×M16—794no—
331Q8×M16—794no—
332#2920—791no—
333#2920—794no—
334#2920D7911yescharacteristic
335C79#6024811yescharacteristic, complemented, Sylow
336C23×Q8—791no—
337C2×C4×Q8—792no—
338C2×C4×Q8—792no—
339C2×C4×Q8—791no—
340C2×C4×Q8—792no—
341C2×C4×Q8—791no—
342C2×C4×Q8—792no—
343C2×C4×Q8—792no—
344C2×C4×Q8—791no—
345C2×C4×Q8—792no—
346C2×C4×Q8—792no—
347C2×C4×Q8—792no—
348C2×C4×Q8—791no—
349C2×C4×Q8—792no—
350C2×C4×Q8—792no—
351C22×C4⋊C4—792no—
352C22×C4⋊C4—791no—
353C22×C42—792no—
354C22×C42C2×D7911yescharacteristic
355#446—798no—
356#446—7916no—
357#446—7916no—
358#446—798no—
359C8×Q8—798no—
360C8×Q8—798no—
361#432—792no—
362#432—792no—
363#432—798no—
364#432—798no—
365#432C2×D7912yes—
366#432C2×D7912yes—
367#431—792no—
368#431—792no—
369#431—798no—
370#431—798no—
371#431C2×D7912yes—
372#431C2×D7912yes—
373#423—798no—
374#423—792no—
375#423C2×D7912yes—
376#407—792no—
377#407C2×D7912yes—
378C4×M16—798no—
379C4×M16—792no—
380C4×M16C2×D7912yes—
381C22×Q8—791no—
382C22×Q8—792no—
383C22×Q8—792no—
384C22×Q8—792no—
385C22×Q8—792no—
386C22×Q8—792no—
387C22×Q8—791no—
388C22×Q8—1588no—
389C23×C4—792no—
390C23×C4—792no—
391C23×C4C4×D7911yescharacteristic
392C23×C4C4×D7911yescharacteristic
393C23×C4C22×D7911yescharacteristic
394C2×M16—794no—
395C2×M16C22×D7914yes—
396C4×Q8—792no—
397C4×Q8—792no—
398C4×Q8—792no—
399C4×Q8—792no—
400C4×Q8—792no—
401C4×Q8—792no—
402C4×Q8—794no—
403C4×Q8—794no—
404C4×Q8—792no—
405C4×Q8—792no—
406C4×Q8—794no—
407C4×Q8—794no—
408C4×Q8—792no—
409C4×Q8—792no—
410C4×Q8—794no—
411C4×Q8—794no—
412C4×Q8—792no—
413C4×Q8—792no—
414C4×Q8—792no—
415C4×Q8—792no—
416C4×Q8—794no—
417C4×Q8—794no—
418C4×Q8—792no—
419C4×Q8—792no—
420C2×C4⋊C4—792no—
421C2×C4⋊C4—792no—
422C2×C4⋊C4—794no—
423C2×C4⋊C4—794no—
424C2×C4⋊C4—792no—
425C2×C4⋊C4—792no—
426C2×C4⋊C4—794no—
427C2×C4⋊C4—794no—
428C2×C4⋊C4—792no—
429C2×C4⋊C4—792no—
430C2×C4⋊C4—792no—
431C2×C4⋊C4—791no—
432C2×C4⋊C4—791no—
433C2×C4⋊C4—792no—
434C2×C4⋊C4—792no—
435C2×C42—792no—
436C2×C42—794no—
437C2×C42—792no—
438C2×C42—794no—
439C2×C42—794no—
440C2×C42—792no—
441C2×C42—794no—
442C2×C42—792no—
443C2×C42C4×D7911yescharacteristic
444C2×C42C4×D7911yescharacteristic
445C2×C42C4×D7911yescharacteristic
446C2×C42C4×D7911yescharacteristic
447C2×C42C4×D7911yescharacteristic
448C2×C42C4×D7911yescharacteristic
449C2×C42C22×D7911yescharacteristic
450C2×C42C22×D7911yescharacteristic
451C2×C42C22×D7911yescharacteristic
452C2×C42C22×D7911yescharacteristic
453C2×C42C22×D7911yescharacteristic
454C2×C42C22×D7911yescharacteristic
455C4⋊C8—7916no—
456C4⋊C8—7916no—
457C4⋊C8—794no—
458C4⋊C8—794no—
459C4⋊C8C22×D7914yes—
460C4⋊C8C22×D7914yes—
461C22⋊C8—794no—
462C22⋊C8—794no—
463C22⋊C8C22×D7914yes—
464C22⋊C8C22×D7914yes—
465#97—7916no—
466#97—794no—
467#97C22×D7914yes—
468C4×C8—7916no—
469C4×C8—794no—
470C4×C8C22×D7914yes—
471C24C2×C4×D7911yescharacteristic
472C2×Q8—798no—
473C2×Q8—792no—
474C2×Q8—792no—
475C2×Q8—794no—
476C2×Q8—794no—
477C2×Q8—792no—
478C2×Q8—792no—
479C2×Q8—1588no—
480C2×Q8—1588no—
481C2×Q8—1588no—
482C2×Q8—1588no—
483C2×Q8—1588no—
484C2×Q8—1584no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—42no—
488C22×C4—3164no—
489C22×C4—794no—
490C22×C4—792no—
491C22×C4—792no—
492C22×C4—792no—
493C22×C4—794no—
494C22×C4—794no—
495C22×C4—794no—
496C22×C4—792no—
497C22×C4—1588no—
498C22×C4C2×C4×D7911yescharacteristic
499C22×C4C2×C4×D7911yescharacteristic
500C22×C4C2×C4×D7911yescharacteristic
501C22×C4C2×C4×D7911yescharacteristic
502C22×C4C2×C4×D7911yescharacteristic
503C22×C4C2×C4×D7911yescharacteristic
504C22×C4C2×C4×D7911yescharacteristic
505C22×C4C2×C4×D7911yescharacteristic
506C22×C4C2×C4×D7911yescharacteristic
507C22×C4C2×C4×D7911yescharacteristic
508C22×C4C2×C4×D7911yescharacteristic
509C22×C4C2×C4×D7911yescharacteristic
510C22×C4C2×C4×D7911yescharacteristic
511C22×C4C2×C4×D7911yescharacteristic
512C22×C4C2×C4×D7911yescharacteristic
513C22×C4C23×D7911yescharacteristic
514C22×C4C23×D7911yescharacteristic
515C22×C4C23×D7911yescharacteristic
516M16—28no—
517M16—1588no—
518C2×C8—798no—
519C2×C8C23×D7918yes—
520C4⋊C4—794no—
521C4⋊C4—794no—
522C4⋊C4—794no—
523C4⋊C4—794no—
524C4⋊C4—794no—
525C4⋊C4—794no—
526C4⋊C4—794no—
527C4⋊C4—794no—
528C4⋊C4—794no—
529C4⋊C4—794no—
530C4⋊C4—792no—
531C4⋊C4—792no—
532C4⋊C4—792no—
533C4⋊C4—792no—
534C42—794no—
535C42—794no—
536C42—794no—
537C42—794no—
538C42—794no—
539C42—794no—
540C42—794no—
541C42—794no—
542C42C2×C4×D7911yescharacteristic
543C42C2×C4×D7911yescharacteristic
544C42C2×C4×D7911yescharacteristic
545C42C2×C4×D7911yescharacteristic
546C42C2×C4×D7911yescharacteristic
547C42C2×C4×D7911yescharacteristic
548C42C2×C4×D7911yescharacteristic
549C42C2×C4×D7911yescharacteristic
550C42C2×C4×D7911yescharacteristic
551C42C2×C4×D7911yescharacteristic
552C42C2×C4×D7911yescharacteristic
553C42C2×C4×D7911yescharacteristic
554C42C23×D7911yescharacteristic
555C42C23×D7911yescharacteristic
556C42C23×D7911yescharacteristic
557C42C23×D7911yescharacteristic
558C23—22no—
559C23—22no—
560C23—22no—
561C23C22×C4×D7911yescharacteristic
562C23C22×C4×D7911yescharacteristic
563C23C22×C4×D7911yescharacteristic
564Q8—798no—
565Q8—798no—
566Q8—1588no—
567Q8—1588no—
568Q8—1584no—
569Q8—1584no—
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—3164no—
587C2×C4—3162no—
588C2×C4—3162no—
589C2×C4—798no—
590C2×C4—794no—
591C2×C4—794no—
592C2×C4—794no—
593C2×C4—794no—
594C2×C4—1588no—
595C2×C4—1588no—
596C2×C4—1584no—
597C2×C4—1588no—
598C2×C4M16×D7914yes—
599C2×C4C22×C4×D7911yescharacteristic
600C2×C4C22×C4×D7911yescharacteristic
601C2×C4C22×C4×D7911yescharacteristic
602C2×C4C22×C4×D7911yescharacteristic
603C2×C4C22×C4×D7911yescharacteristic
604C2×C4C22×C4×D7911yescharacteristic
605C2×C4C22×C4×D7911yescharacteristic
606C2×C4C22×C4×D7911yescharacteristic
607C2×C4C22×C4×D7911yescharacteristic
608C2×C4C22×C4×D7911yescharacteristic
609C2×C4C22×C4×D7911yescharacteristic
610C2×C4#1457920814yes—
611C2×C4C24×D7911yescharacteristic
612C8—28no—
613C8—1588no—
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#1909904012yes—
622C22C2×M16×D7912yes—
623C22#1909932912yes—
624C22C23×C4×D7911yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—798no—
634C4—1584no—
635C4—1584no—
636C4—1584no—
637C4#1909904012yes—
638C4C2×M16×D7912yes—
639C4C2×M16×D7912yes—
640C4C2×#1457920812yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#1909904011yescharacteristic
645C2C22×M16×D7911yescharacteristic
646C2C2×#1909932911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D79
commutator, socleC22×C79C24×C4
FittingC79×#2920C2
prime radicalC24×C79C22×C4
cosocleC2×C4×C79C25
hypercenter#2920D79
hypocenterC79#60248
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #23772490C2semidirect
3. #23772487C2semidirect
4. #23772484C2semidirect
5. #23772483C2semidirect
6. #23772480C2semidirect
7. M16×Dic158C2semidirect
8. #23772351C2semidirect
30. #19098693C22semidirect
31. #19098692C22semidirect
32. #19098691C22semidirect
33. #19098690C22semidirect
34. C8×Dic158C22semidirect
35. #19098687C22semidirect
153. C2×Dic158M16semidirect
335. C79#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic1582
#237724902
#237724872
#237724842
#237724832
#237724802
M16×Dic1582
#237723512
#237720332
#237720292
C79×#29202
#6024879