Finite Group Databasebeta

← #34448660

Subgroups — #34448660

Order 20224.

2854 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14579160C211yesmaximal, characteristic
2C2×#19099040C212yesmaximal
3#23766459C212yesmaximal, complemented
4#23766455C214yesmaximal, complemented
5#23766453C212yesmaximal, complemented
6#23766271C211yesmaximal, characteristic
7#23766270C212yesmaximal
8#23766269C211yesmaximal, characteristic
9#23766267C211yesmaximal, characteristic
10#23766264C212yesmaximal
11#23766115C214yesmaximal, complemented
12#23765985C212yesmaximal
13#23765971C212yesmaximal, complemented
14C4×#14579160C212yesmaximal, complemented
15#23765802C211yesmaximal, characteristic
16C4×#14579117C211yesmaximal, characteristic
17C79×#2344C211yesmaximal, characteristic
18C23×Dic158C2212yes—
19C2×#14579160C4116yescomplemented
20C2×#14579160C2212yes—
21C2×#14579160C2211yescharacteristic
22C2×#14579160C2212yes—
23C2×#14579160C2211yescharacteristic
24C2×#14579160C2211yescharacteristic
25C2×#14579160C2211yescharacteristic
26#19099040—216no—
27C2×C4×Dic158C2214yes—
28C2×C4×Dic158C2214yes—
29C2×#14579126C2214yes—
30C2×#14579126C2214yes—
31C2×#14579120C2212yes—
32C2×#14579117C2212yes—
33C2×#14579117C2212yes—
34C2×#14579117C2212yes—
35C2×#14579117C2211yescharacteristic
36C2×#14579117C2211yescharacteristic
37C22×C4⋊Dic79C2211yescharacteristic
38C22×Dic79⋊C4C2212yes—
39C22×C4×Dic79C2211yescharacteristic
40#19098467C2214yes—
41#19098467C2214yes—
42#19098467C2214yes—
43#19098467C2214yes—
44#19098462C2212yes—
45#19098461C2212yes—
46#19098460C2214yes—
47#19098459C2212yes—
48#19098458C2214yes—
49#19098450C2214yes—
50#19098449C2214yes—
51#19098448C2214yes—
52#19098447C2214yes—
53#19098446C2214yes—
54#19098445C2214yes—
55#19098444C2214yes—
56#19098432C2212yes—
57#19098427C2212yes—
58#19098426C2212yes—
59#19098424C2212yes—
60#19098424C2212yes—
61#19098423C2211yescharacteristic
62#19098421C2212yes—
63C4⋊C4×Dic79C2212yes—
64C4⋊C4×Dic79C2212yes—
65C4⋊C4×Dic79C2212yes—
66C4×Dic79⋊C4C2212yes—
67C4×Dic79⋊C4C2214yes—
68C4×C4⋊Dic79C2212yes—
69#19098414C2212yes—
70#19098414C2212yes—
71#19098414C2214yes—
72C22⋊C4×Dic79C2211yescharacteristic
73C22⋊C4×Dic79C2211yescharacteristic
74C4×C22⋊Dic79C2211yescharacteristic
75#19098408C2212yes—
76C42×Dic79C2212yes—
77C2×#117×C79C2212yes—
78C22×C4⋊C4×C79C2211yescharacteristic
79#389×C79C2212yes—
80#387×C79C2214yes—
81#381×C79C2212yes—
82#380×C79C2211yescharacteristic
83C4×C4⋊C4×C79C2212yes—
84C4×C22⋊C4×C79C2211yescharacteristic
85C22×Dic158—28no—
86C22×Dic158—28no—
87C22×Dic158C2×C4116yes—
88C22×Dic158C2312yes—
89C22×Dic158C2312yes—
90C22×Dic158C2312yes—
91C22×Dic158C2312yes—
92C23×Dic79C2311yescharacteristic
93C23×Dic79C2312yes—
94C23×Dic79C2311yescharacteristic
95#14579160C2×C4116yes—
96#14579160C2×C418yes—
97#14579160C2×C4116yes—
98#14579160C2×C418yes—
99#14579160C2×C418yes—
100#14579160C2×C418yes—
101C4×Dic158—216no—
102C4×Dic158—216no—
103#14579126—216no—
104#14579126—216no—
105#14579120—28no—
106#14579117—28no—
107#14579117—28no—
108#14579117—24no—
109#14579117—28no—
110#14579117D418yes—
111C2×C4⋊Dic79C2×C418yes—
112C2×C4⋊Dic79C2312yes—
113C2×C4⋊Dic79C2314yes—
114C2×C4⋊Dic79C2311yescharacteristic
115C2×C4⋊Dic79C2311yescharacteristic
116C2×C4⋊Dic79C2312yes—
117C2×Dic79⋊C4C2×C4116yes—
118C2×Dic79⋊C4C2314yes—
119C2×Dic79⋊C4C2312yes—
120C2×Dic79⋊C4C2314yes—
121C2×Dic79⋊C4C2314yes—
122C2×Dic79⋊C4C2314yes—
123C2×Dic79⋊C4C2312yes—
124C2×Dic79⋊C4C2312yes—
125C2×Dic79⋊C4C2312yes—
126C2×Dic79⋊C4C2312yes—
127C2×Dic79⋊C4C2312yes—
128C2×C22⋊Dic79C2311yescharacteristic
129C2×C22⋊Dic79C2312yes—
130C2×C22⋊Dic79C2311yescharacteristic
131C2×C4×Dic79C2×C418yes—
132C2×C4×Dic79C2312yes—
133C2×C4×Dic79C2312yes—
134C2×C4×Dic79C2312yes—
135C2×C4×Dic79C2312yes—
136C2×C4×Dic79C2314yes—
137C2×C4×Dic79C2314yes—
138C2×C4×Dic79C2314yes—
139C2×C4×Dic79C2314yes—
140C2×C4×Dic79C2311yescharacteristic
141C2×C4×Dic79C2311yescharacteristic
142C2×C4×Dic79C2311yescharacteristic
143C2×C4×Dic79C2311yescharacteristic
144C2×C4×Dic79C2312yes—
145C79⋊#95C2312yes—
146C79⋊#95C2312yes—
147C79⋊#95C2312yes—
148C79⋊#95C2312yes—
149C79⋊#95C2314yes—
150C79⋊#95C2314yes—
151C79⋊#95C2314yes—
152C79⋊#95C2314yes—
153C79⋊#95C2314yes—
154C79⋊#95C2314yes—
155C79⋊#95C2314yes—
156C23×C4×C79C2311yescharacteristic
157C23×C4×C79C2312yes—
158#117×C79—28no—
159C2×C4⋊C4×C79C2×C418yes—
160C2×C4⋊C4×C79C2312yes—
161C2×C4⋊C4×C79C2314yes—
162C2×C4⋊C4×C79C2311yescharacteristic
163C2×C4⋊C4×C79C2312yes—
164C2×C4⋊C4×C79C2311yescharacteristic
165C2×C22⋊C4×C79C2311yescharacteristic
166C2×C22⋊C4×C79C2312yes—
167C2×C22⋊C4×C79C2311yescharacteristic
168C2×C42×C79C2312yes—
169C2×C42×C79C2314yes—
170#95×C79C2312yes—
171#95×C79C2312yes—
172#95×C79C2314yes—
173#95×C79C2314yes—
174C2×Dic158—264no—
175C2×Dic158—24no—
176C2×Dic158—24no—
177C2×Dic158—24no—
178C2×Dic158—24no—
179C2×Dic158—24no—
180C2×Dic158—24no—
181C2×Dic158—24no—
182C2×Dic158—24no—
183C2×Dic158C22×C418yes—
184C2×Dic158C22×C418yes—
185C2×Dic158C22×C418yes—
186C2×Dic158C22×C418yes—
187C22×Dic79—24no—
188C22×Dic79—24no—
189C22×Dic79—24no—
190C22×Dic79C22×C418yes—
191C22×Dic79C22×C414yes—
192C22×Dic79C22×C414yes—
193C22×Dic79C2×D414yes—
194C22×Dic79#4114yes—
195C22×Dic79C2412yes—
196C22×Dic79C2414yes—
197C22×Dic79C2412yes—
198C22×Dic79C2412yes—
199C22×Dic79C2411yescharacteristic
200C22×Dic79C2412yes—
201C22×Dic79C2411yescharacteristic
202C22×Dic79C2411yescharacteristic
203C22×Dic79C2411yescharacteristic
204C4⋊Dic79—28no—
205C4⋊Dic79—24no—
206C4⋊Dic79C22×C418yes—
207C4⋊Dic79C22×C414yes—
208C4⋊Dic79C22×C414yes—
209Dic79⋊C4—28no—
210Dic79⋊C4—28no—
211Dic79⋊C4—24no—
212Dic79⋊C4—28no—
213Dic79⋊C4—28no—
214Dic79⋊C4C22×C418yes—
215Dic79⋊C4C22×C418yes—
216Dic79⋊C4C22×C418yes—
217Dic79⋊C4C22×C418yes—
218Dic79⋊C4C2×D418yes—
219C22⋊Dic79—24no—
220C22⋊Dic79—22no—
221C22⋊Dic79C2×D414yes—
222C4×Dic79—28no—
223C4×Dic79—28no—
224C4×Dic79—28no—
225C4×Dic79—24no—
226C4×Dic79—24no—
227C4×Dic79—24no—
228C4×Dic79—28no—
229C4×Dic79—24no—
230C4×Dic79C22×C414yes—
231C4×Dic79C22×C414yes—
232C4×Dic79C22×C414yes—
233C4×Dic79C22×C414yes—
234C4×Dic79C2×D418yes—
235C24×C79C2411yescharacteristic
236C22×C4×C79—24no—
237C22×C4×C79—24no—
238C22×C4×C79—24no—
239C22×C4×C79C22×C418yes—
240C22×C4×C79C22×C414yes—
241C22×C4×C79C2412yes—
242C22×C4×C79C2414yes—
243C22×C4×C79C2412yes—
244C22×C4×C79C2412yes—
245C22×C4×C79C2411yescharacteristic
246C22×C4×C79C2412yes—
247C22×C4×C79C2411yescharacteristic
248C4⋊C4×C79—28no—
249C4⋊C4×C79—24no—
250C4⋊C4×C79C22×C418yes—
251C4⋊C4×C79C22×C414yes—
252C4⋊C4×C79C22×C414yes—
253C22⋊C4×C79—24no—
254C22⋊C4×C79—22no—
255C22⋊C4×C79C2×D414yes—
256C42×C79—28no—
257C42×C79—24no—
258C23×C79—22no—
259C23×C79—22no—
260C23×C79C23×C412yes—
261C23×C79C22×D412yes—
262C23×C79C2×#4112yes—
263C23×C79C2511yescharacteristic
264C2×C4×C79—216no—
265C2×C4×C79—22no—
266C2×C4×C79—22no—
267C2×C4×C79—22no—
268C2×C4×C79—22no—
269C2×C4×C79—22no—
270C2×C4×C79—22no—
271C2×C4×C79—22no—
272C2×C4×C79—28no—
273C2×C4×C79—24no—
274C2×C4×C79—22no—
275C2×C4×C79—22no—
276C2×C4×C79—24no—
277C2×C4×C79—22no—
278C2×C4×C79—24no—
279C2×C4×C79C23×C412yes—
280C2×C4×C79C23×C414yes—
281C2×C4×C79C23×C414yes—
282C2×C4×C79C23×C412yes—
283C2×C4×C79C22×D414yes—
284C2×C4×C792−1+414yes—
285C2×Dic79—216no—
286C2×Dic79—22no—
287C2×Dic79—22no—
288C2×Dic79—22no—
289C2×Dic79—22no—
290C2×Dic79—22no—
291C2×Dic79—22no—
292C2×Dic79—22no—
293C2×Dic79—28no—
294C2×Dic79—24no—
295C2×Dic79—22no—
296C2×Dic79—22no—
297C2×Dic79—22no—
298C2×Dic79—24no—
299C2×Dic79—24no—
300C2×Dic79C4×D4116yes—
301C2×Dic79C23×C412yes—
302C2×Dic79C23×C414yes—
303C2×Dic79C23×C414yes—
304C2×Dic79C23×C412yes—
305C2×Dic79C23×C412yes—
306C2×Dic79C23×C412yes—
307C2×Dic79C22×D414yes—
308C2×Dic79C22×D412yes—
309C2×Dic79C22×D412yes—
310C2×Dic79C2×#4112yes—
311C2×Dic79C2×#4112yes—
312C2×Dic792−1+414yes—
313Dic158—216no—
314Dic158—216no—
315Dic158—216no—
316Dic158—216no—
317C22×C79—22no—
318C22×C79—22no—
319C22×C79—24no—
320C22×C79—24no—
321C22×C79C2×C4×D414yes—
322C22×C79C24×C411yescharacteristic
323C22×C79C23×D411yescharacteristic
324C22×C79C22×#4111yescharacteristic
325C22×C79C2×2−1+412yes—
326C22×C79C2×2−1+412yes—
327C4×C79—24no—
328C4×C79—24no—
329C4×C79—22no—
330C4×C79—24no—
331C4×C79—44no—
332C4×C79—42no—
333C4×C79#51914yescomplemented
334Dic79—24no—
335Dic79—24no—
336Dic79—22no—
337Dic79—24no—
338Dic79—44no—
339Dic79—42no—
340Dic79C2×C4×D414yes—
341Dic79C2×C4×D414yes—
342Dic79#51914yescomplemented
343#34209—791nomaximal, Sylow
344C2×C79—24no—
345C2×C79C22×C4×D411yescharacteristic
346C2×C79C2×#51911yescharacteristic
347C2×C79C2×#51911yescharacteristic
348C2×C79#349912yes—
349C2×C79#350912yes—
350C22×C4⋊Q8—791no—
351C2×#519—792no—
352#2365—792no—
353#2365—794no—
354#2365—792no—
355#2344—792no—
356#2344—791no—
357#2344—791no—
358#2344—792no—
359#2344—791no—
360#2344D7911yescharacteristic
361#2327—794no—
362#2310—792no—
363C4×C4⋊Q8—792no—
364C4×C4⋊Q8—792no—
365#2285—791no—
366C4×#117—791no—
367C79#3420911yescharacteristic, complemented, Sylow
368C23×Q8—792no—
369C2×C4⋊Q8—791no—
370C2×C4⋊Q8—791no—
371C2×C4⋊Q8—792no—
372C2×C4⋊Q8—792no—
373C2×C4⋊Q8—791no—
374C2×C4⋊Q8—791no—
375C2×C4⋊Q8—7916no—
376#519—15816no—
377C2×C4×Q8—794no—
378C2×C4×Q8—794no—
379C2×C4×Q8—794no—
380C2×C4×Q8—794no—
381C2×#117—792no—
382C2×#117—791no—
383C2×#117—791no—
384C2×#117—792no—
385C2×#117—792no—
386C2×#117—792no—
387C2×#117C2×D7912yes—
388C22×C4⋊C4—792no—
389C22×C4⋊C4—791no—
390C22×C4⋊C4C2×D7911yescharacteristic
391C22×C42—791no—
392#391—794no—
393#391—794no—
394#391—794no—
395#391—794no—
396#389—794no—
397#389—792no—
398#389—792no—
399#389—792no—
400#389—794no—
401#389C2×D7912yes—
402#387—794no—
403#387—794no—
404#387—794no—
405#387—794no—
406#387—794no—
407#387—794no—
408#387—794no—
409#387C2×D7914yes—
410#384—792no—
411#382—792no—
412#381—792no—
413#381—792no—
414#381—792no—
415#381C2×D7912yes—
416#380—791no—
417#380—792no—
418#380C2×D7911yescharacteristic
419C4×C4⋊C4—792no—
420C4×C4⋊C4—792no—
421C4×C4⋊C4—792no—
422C4×C4⋊C4—792no—
423C4×C4⋊C4—794no—
424C4×C4⋊C4—792no—
425C4×C4⋊C4—794no—
426C4×C4⋊C4—792no—
427C4×C4⋊C4—792no—
428C4×C4⋊C4C2×D7912yes—
429C4×C22⋊C4—791no—
430C4×C22⋊C4—791no—
431C4×C22⋊C4—791no—
432C4×C22⋊C4C2×D7911yescharacteristic
433#376—792no—
434C43—792no—
435C22×Q8—7916no—
436C22×Q8—792no—
437C22×Q8—792no—
438C22×Q8—792no—
439C22×Q8—792no—
440C22×Q8—1588no—
441C22×Q8—1588no—
442C23×C4—791no—
443C23×C4—792no—
444C23×C4—791no—
445C23×C4C22×D7912yes—
446C23×C4C22×D7911yescharacteristic
447C4⋊Q8—798no—
448C4⋊Q8—798no—
449C4⋊Q8—7916no—
450C4⋊Q8—7916no—
451C4⋊Q8—798no—
452C4⋊Q8—798no—
453C4×Q8—15816no—
454C4×Q8—15816no—
455C4×Q8—15816no—
456C4×Q8—15816no—
457#117—28no—
458#117—798no—
459#117—1588no—
460#117—1588no—
461#117—1584no—
462#117—1588no—
463#117—1588no—
464C2×C4⋊C4—7916no—
465C2×C4⋊C4—798no—
466C2×C4⋊C4—792no—
467C2×C4⋊C4—792no—
468C2×C4⋊C4—791no—
469C2×C4⋊C4—791no—
470C2×C4⋊C4—792no—
471C2×C4⋊C4—792no—
472C2×C4⋊C4—792no—
473C2×C4⋊C4—792no—
474C2×C4⋊C4—794no—
475C2×C4⋊C4—794no—
476C2×C4⋊C4—794no—
477C2×C4⋊C4—794no—
478C2×C4⋊C4—792no—
479C2×C4⋊C4—794no—
480C2×C4⋊C4—792no—
481C2×C4⋊C4C4×D7918yes—
482C2×C4⋊C4C22×D7914yes—
483C2×C4⋊C4C22×D7912yes—
484C2×C4⋊C4C22×D7911yescharacteristic
485C2×C4⋊C4C22×D7911yescharacteristic
486C2×C4⋊C4C22×D7912yes—
487C2×C22⋊C4—791no—
488C2×C22⋊C4—792no—
489C2×C22⋊C4—791no—
490C2×C22⋊C4C22×D7912yes—
491C2×C22⋊C4C22×D7911yescharacteristic
492C2×C22⋊C4C22×D7911yescharacteristic
493C2×C42—798no—
494C2×C42—792no—
495C2×C42—791no—
496C2×C42—791no—
497C2×C42—791no—
498C2×C42—791no—
499C2×C42—794no—
500C2×C42—794no—
501C2×C42—794no—
502C2×C42—794no—
503C2×C42—792no—
504C2×C42—792no—
505C2×C42—792no—
506C2×C42—792no—
507C2×C42C22×D7914yes—
508C2×C42C22×D7912yes—
509#95—792no—
510#95—792no—
511#95—792no—
512#95—794no—
513#95—792no—
514#95—794no—
515#95—794no—
516#95—794no—
517#95—794no—
518#95—794no—
519#95—794no—
520#95C22×D7912yes—
521#95C22×D7912yes—
522#95C22×D7914yes—
523#95C22×D7914yes—
524C24C23×D7911yescharacteristic
525C2×Q8—798no—
526C2×Q8—798no—
527C2×Q8—798no—
528C2×Q8—798no—
529C2×Q8—1584no—
530C2×Q8—1584no—
531C2×Q8—1584no—
532C2×Q8—1584no—
533C2×Q8—15864no—
534C2×Q8—1584no—
535C2×Q8—1584no—
536C2×Q8—1584no—
537C2×Q8—1584no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—794no—
542C22×C4—791no—
543C22×C4—791no—
544C22×C4—791no—
545C22×C4—794no—
546C22×C4—794no—
547C22×C4—791no—
548C22×C4—792no—
549C22×C4—792no—
550C22×C4—792no—
551C22×C4—794no—
552C22×C4—798no—
553C22×C4—792no—
554C22×C4—794no—
555C22×C4—1584no—
556C22×C4—1584no—
557C22×C4—1584no—
558C22×C4C2×C4×D7914yes—
559C22×C4C2×C4×D7918yes—
560C22×C4C23×D7912yes—
561C22×C4C23×D7914yes—
562C22×C4C23×D7911yescharacteristic
563C22×C4C23×D7912yes—
564C22×C4C23×D7912yes—
565C22×C4C23×D7912yes—
566C22×C4C23×D7911yescharacteristic
567C4⋊C4—24no—
568C4⋊C4—28no—
569C4⋊C4—798no—
570C4⋊C4—798no—
571C4⋊C4—798no—
572C4⋊C4—798no—
573C4⋊C4—798no—
574C4⋊C4—794no—
575C4⋊C4—794no—
576C4⋊C4—798no—
577C4⋊C4—1588no—
578C4⋊C4—1584no—
579C4⋊C4—1588no—
580C4⋊C4—1588no—
581C4⋊C4—1588no—
582C4⋊C4—1584no—
583C4⋊C4—1588no—
584C4⋊C4C2×C4×D7918yes—
585C4⋊C4C2×C4×D7914yes—
586C4⋊C4C2×C4×D7914yes—
587C22⋊C4—22no—
588C22⋊C4—24no—
589C22⋊C4—794no—
590C22⋊C4—1582no—
591C22⋊C4—1584no—
592C22⋊C4D4×D7914yes—
593C42—24no—
594C42—28no—
595C42—794no—
596C42—794no—
597C42—794no—
598C42—794no—
599C42—798no—
600C42—1584no—
601C42—1584no—
602C42—1584no—
603C42—1588no—
604C42—1588no—
605C42—1588no—
606C42—1584no—
607C42—1588no—
608C23—22no—
609C23—22no—
610C23C22×C4×D7912yes—
611C23C2×D4×D7912yes—
612C23#41×D7912yes—
613C23C24×D7911yescharacteristic
614Q8—15816no—
615Q8—15816no—
616Q8—15816no—
617Q8—15816no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—216no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—28no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—794no—
634C2×C4—7916no—
635C2×C4—792no—
636C2×C4—792no—
637C2×C4—792no—
638C2×C4—792no—
639C2×C4—792no—
640C2×C4—792no—
641C2×C4—792no—
642C2×C4—792no—
643C2×C4—794no—
644C2×C4—794no—
645C2×C4—794no—
646C2×C4—1582no—
647C2×C4—1584no—
648C2×C4—1582no—
649C2×C4—1584no—
650C2×C4—1584no—
651C2×C4—1582no—
652C2×C4—1588no—
653C2×C4—1582no—
654C2×C4—1582no—
655C2×C4—1582no—
656C2×C4—15816no—
657C2×C4—1582no—
658C2×C4—1582no—
659C2×C4—1582no—
660C2×C4—1582no—
661C2×C4C22×C4×D7912yes—
662C2×C4C22×C4×D7914yes—
663C2×C4C22×C4×D7914yes—
664C2×C4C22×C4×D7912yes—
665C2×C4C2×D4×D7914yes—
666C2×C4#1457920814yes—
667C22—22no—
668C22—22no—
669C22—24no—
670C22—24no—
671C22C4×D4×D7914yes—
672C22C23×C4×D7911yescharacteristic
673C22C22×D4×D7911yescharacteristic
674C22C2×#41×D7911yescharacteristic
675C222−1+4×D7912yes—
676C22C2×#1457920812yes—
677C4—24no—
678C4—24no—
679C4—22no—
680C4—24no—
681C4—44no—
682C4—42no—
683C4—3164no—
684C4—3162no—
685C4—794no—
686C4—794no—
687C4—794no—
688C4—1584no—
689C4—1584no—
690C4—1582no—
691C4—1584no—
692C4#1909904014yescomplemented
693C2—24no—
694C2C2×C4×D4×D7911yescharacteristic
695C2#519×D7911yescharacteristic
696C2C2×#1909904011yescharacteristic
697C2#2377717912yes—
698C2#2377727812yes—
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2344C2
socle, cosocleC23×C79C25
prime radicalC24×C79C24
hypercenter#2344D79
hypocenterC79#34209
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #23766459C2semidirect
4. #23766455C2semidirect
5. #23766453C2semidirect
11. #23766115C2semidirect
13. #23765971C2semidirect
14. C4×#14579160C2semidirect
19. C2×#14579160C4semidirect
333. C4×C79#519semidirect
342. Dic79#519semidirect
367. C79#34209semidirect
692. C4#19099040semidirect

Maximal subgroups

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

subgroupindex
C22×#145791602
C2×#190990402
#237664592
#237664552
#237664532
#237662712
#237662702
#237662692
#237662672
#237662642
#237661152
#237659852
#237659712
C4×#145791602
#237658022
C4×#145791172
C79×#23442
#3420979