Finite Group Databasebeta

← C151×#23919 #50328844

Subgroups — C151×#23919 #50328844

Order 38656.

2252 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊Q8×C151C211yesmaximal, characteristic, complemented
2C22×#121×C151C211yesmaximal, characteristic
3C2×#448×C151C212yesmaximal, complemented
4C2×#450×C151C212yesmaximal, complemented
5#2000×C151C214yesmaximal, complemented
6#1874×C151C212yesmaximal, complemented
7#1872×C151C212yesmaximal, complemented
8#1779×C151C211yesmaximal, characteristic, complemented
9C23×Q8×C151C2211yescharacteristic, complemented
10C23×D4×C151—21no—
11C23×D4×C151C2211yescharacteristic
12C24×C4×C151C2211yescharacteristic
13C22×SD16×C151C2214yescomplemented
14C2×C22⋊Q8×C151—21no—
15C2×C22⋊Q8×C151—21no—
16C2×C22⋊Q8×C151—28no—
17C2×C22⋊Q8×C151C2212yes—
18C2×C22⋊Q8×C151C2212yescomplemented
19C2×#121×C151—21no—
20C2×#121×C151—21no—
21C2×#121×C151—28no—
22C2×#121×C151C2212yes—
23C2×#121×C151C2212yes—
24C22×C4⋊C4×C151—21no—
25C22×C4⋊C4×C151C2211yescharacteristic
26C22×C4⋊C4×C151C2211yescharacteristic, complemented
27C22×C22⋊C4×C151—21no—
28C22×C22⋊C4×C151—21no—
29#450×C151—28no—
30#448×C151—28no—
31C2×#103×C151C2214yescomplemented
32C2×#102×C151C2214yescomplemented
33C2×C22⋊C8×C151C2212yes—
34C2×C22⋊C8×C151C2212yescomplemented
35C2×C22⋊C8×C151C2212yescomplemented
36#340×C151C2214yescomplemented
37C25×C151—21no—
38C25×C151D411yescharacteristic
39C22×Q8×C151—21no—
40C22×Q8×C151—24no—
41C22×Q8×C151—24no—
42C22×Q8×C151—42no—
43C22×Q8×C151C2312yes—
44C22×D4×C151—28no—
45C22×D4×C151—24no—
46C22×D4×C151—21no—
47C22×D4×C151—22no—
48C22×D4×C151—22no—
49C22×D4×C151—24no—
50C22×D4×C151—44no—
51C22×D4×C151—42no—
52C22×D4×C151—44no—
53C22×D4×C151C2312yes—
54C23×C4×C151—24no—
55C23×C4×C151—24no—
56C23×C4×C151—21no—
57C23×C4×C151—21no—
58C23×C4×C151—21no—
59C23×C4×C151—42no—
60C23×C4×C151D411yescharacteristic
61C23×C4×C151D411yescharacteristic
62C23×C4×C151D411yescharacteristic
63C23×C4×C151C2311yescharacteristic
64C23×C4×C151C2311yescharacteristic
65C23×C4×C151C2311yescharacteristic
66C2×SD16×C151—28no—
67C2×SD16×C151—28no—
68C2×SD16×C151—44no—
69C22×C8×C151C2314yes—
70C22⋊Q8×C151—28no—
71C22⋊Q8×C151—28no—
72C22⋊Q8×C151—24no—
73C22⋊Q8×C151—24no—
74C22⋊Q8×C151—24no—
75C22⋊Q8×C151D418yescomplemented
76#121×C151—28no—
77#121×C151—28no—
78#121×C151—24no—
79#121×C151—24no—
80#121×C151—24no—
81#121×C151D418yes—
82C2×C4⋊C4×C151—28no—
83C2×C4⋊C4×C151—22no—
84C2×C4⋊C4×C151—22no—
85C2×C4⋊C4×C151—21no—
86C2×C4⋊C4×C151—21no—
87C2×C4⋊C4×C151—24no—
88C2×C4⋊C4×C151—24no—
89C2×C4⋊C4×C151C2312yes—
90C2×C4⋊C4×C151C2312yes—
91C2×C22⋊C4×C151—28no—
92C2×C22⋊C4×C151—28no—
93C2×C22⋊C4×C151—22no—
94C2×C22⋊C4×C151—22no—
95C2×C22⋊C4×C151—22no—
96C2×C22⋊C4×C151—22no—
97#103×C151—28no—
98#102×C151—28no—
99C22⋊C8×C151—24no—
100C22⋊C8×C151—24no—
101C22⋊C8×C151—42no—
102C24×C151—22no—
103C24×C151—22no—
104C24×C151—22no—
105C24×C151—22no—
106C24×C151—24no—
107C24×C151—22no—
108C24×C151—41no—
109C24×C151—41no—
110C24×C151—42no—
111C24×C151—42no—
112C24×C151—42no—
113C24×C151—42no—
114C24×C151—42no—
115C24×C151—42no—
116C24×C151SD1614yescomplemented
117C24×C151C2×D411yescharacteristic
118C24×C151C2×D411yescharacteristic
119C24×C151C2×D411yescharacteristic
120C2×Q8×C151—24no—
121C2×Q8×C151—22no—
122C2×Q8×C151—24no—
123C2×Q8×C151—24no—
124C2×Q8×C151—416no—
125C2×Q8×C151—42no—
126C2×Q8×C151—42no—
127C2×Q8×C151C2×D414yescomplemented
128C2×D4×C151—24no—
129C2×D4×C151—28no—
130C2×D4×C151—28no—
131C2×D4×C151—24no—
132C2×D4×C151—22no—
133C2×D4×C151—24no—
134C2×D4×C151—416no—
135C2×D4×C151—42no—
136C2×D4×C151—432no—
137C2×D4×C151—44no—
138C2×D4×C151—44no—
139C2×D4×C151—44no—
140C2×D4×C151—44no—
141C2×D4×C151—42no—
142C2×D4×C151C2×D414yes—
143C22×C4×C151—22no—
144C22×C4×C151—22no—
145C22×C4×C151—22no—
146C22×C4×C151—22no—
147C22×C4×C151—24no—
148C22×C4×C151—24no—
149C22×C4×C151—24no—
150C22×C4×C151—22no—
151C22×C4×C151—22no—
152C22×C4×C151—22no—
153C22×C4×C151—22no—
154C22×C4×C151—22no—
155C22×C4×C151—22no—
156C22×C4×C151—22no—
157C22×C4×C151—22no—
158C22×C4×C151—22no—
159C22×C4×C151—22no—
160C22×C4×C151—22no—
161C22×C4×C151—22no—
162C22×C4×C151—41no—
163C22×C4×C151—41no—
164C22×C4×C151—41no—
165C22×C4×C151—416no—
166C22×C4×C151—42no—
167C22×C4×C151—42no—
168C22×C4×C151—42no—
169C22×C4×C151—42no—
170C22×C4×C151—42no—
171C22×C4×C151—42no—
172C22×C4×C151C2×D411yescharacteristic
173C22×C4×C151C2×D411yescharacteristic
174C22×C4×C151C2×D411yescharacteristic
175C22×C4×C151C2×D414yes—
176C22×C4×C151C2×D414yes—
177C22×C4×C151C2411yescharacteristic
178SD16×C151—416no—
179C2×C8×C151—24no—
180C2×C8×C151—24no—
181C2×C8×C151—24no—
182C4⋊C4×C151—24no—
183C4⋊C4×C151—24no—
184C4⋊C4×C151—28no—
185C4⋊C4×C151—28no—
186C4⋊C4×C151—22no—
187C4⋊C4×C151—22no—
188C4⋊C4×C151C2×D414yes—
189C4⋊C4×C151C2×D414yescomplemented
190C22⋊C4×C151—28no—
191C22⋊C4×C151—28no—
192C22⋊C4×C151—28no—
193C22⋊C4×C151—28no—
194C23×C151—21no—
195C23×C151—21no—
196C23×C151—21no—
197C23×C151—21no—
198C23×C151—21no—
199C23×C151—21no—
200C23×C151—21no—
201C23×C151—21no—
202C23×C151—21no—
203C23×C151—21no—
204C23×C151—21no—
205C23×C151—21no—
206C23×C151—21no—
207C23×C151—21no—
208C23×C151—28no—
209C23×C151—28no—
210C23×C151—24no—
211C23×C151—44no—
212C23×C151—44no—
213C23×C151—44no—
214C23×C151—44no—
215C23×C151—44no—
216C23×C151—48no—
217C23×C151—48no—
218C23×C151—48no—
219C23×C151—42no—
220C23×C151—42no—
221C23×C151—42no—
222C23×C151—42no—
223C23×C151—42no—
224C23×C151—42no—
225C23×C151—84no—
226C23×C151—84no—
227C23×C151—84no—
228C23×C151—84no—
229C23×C151#12012yes—
230C23×C151#12012yes—
231C23×C151C2×SD1612yes—
232C23×C151C2×SD1612yes—
233C23×C151C2×SD1612yes—
234C23×C151AGL(1,ℤ/8)12yes—
235C23×C151#13712yes—
236C23×C151C22×D411yescharacteristic
237Q8×C151—28no—
238Q8×C151—48no—
239Q8×C151—44no—
240D4×C151—28no—
241D4×C151—48no—
242D4×C151—416no—
243D4×C151—416no—
244D4×C151—44no—
245C2×C4×C151—21no—
246C2×C4×C151—21no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—28no—
250C2×C4×C151—28no—
251C2×C4×C151—24no—
252C2×C4×C151—21no—
253C2×C4×C151—24no—
254C2×C4×C151—24no—
255C2×C4×C151—21no—
256C2×C4×C151—21no—
257C2×C4×C151—44no—
258C2×C4×C151—44no—
259C2×C4×C151—44no—
260C2×C4×C151—48no—
261C2×C4×C151—48no—
262C2×C4×C151—48no—
263C2×C4×C151—42no—
264C2×C4×C151—42no—
265C2×C4×C151—42no—
266C2×C4×C151—42no—
267C2×C4×C151—42no—
268C2×C4×C151—42no—
269C2×C4×C151—44no—
270C2×C4×C151#12012yes—
271C2×C4×C151#12012yes—
272C2×C4×C151C22×D412yes—
273C2×C4×C151C22×D412yes—
274C2×C4×C151H(5,𝔽2)12yes—
275C8×C151—44no—
276C22×C151—22no—
277C22×C151—22no—
278C22×C151—22no—
279C22×C151—22no—
280C22×C151—22no—
281C22×C151—22no—
282C22×C151—22no—
283C22×C151—22no—
284C22×C151—22no—
285C22×C151—22no—
286C22×C151—22no—
287C22×C151—22no—
288C22×C151—22no—
289C22×C151—22no—
290C22×C151—22no—
291C22×C151—416no—
292C22×C151—41no—
293C22×C151—41no—
294C22×C151—41no—
295C22×C151—41no—
296C22×C151—44no—
297C22×C151—44no—
298C22×C151—44no—
299C22×C151—816no—
300C22×C151—82no—
301C22×C151—82no—
302C22×C151—82no—
303C22×C151—82no—
304C22×C151#44814yescomplemented
305C22×C151#45014yescomplemented
306C22×C151C2×#12011yescharacteristic
307C22×C151C2×#12011yescharacteristic
308C22×C151#53411yescharacteristic
309C22×C151C22×SD1611yescharacteristic
310C22×C151C2×AGL(1,ℤ/8)11yescharacteristic
311C22×C151C2×#13711yescharacteristic
312C22×C151#57511yescharacteristic
313C4×C151—22no—
314C4×C151—22no—
315C4×C151—41no—
316C4×C151—44no—
317C4×C151—44no—
318C4×C151—44no—
319C4×C151D4214yes—
320C2×C151—24no—
321C2×C151—24no—
322C2×C151—42no—
323C2×C151—84no—
324C2×C151#240311yescharacteristic
325C2×C151C2×#45011yescharacteristic
326C2×C151C2×#44811yescharacteristic
327C2×C151#300611yescharacteristic
328C2×C151#300711yescharacteristic
329C2×C151#318711yescharacteristic
330C2×C151#319311yescharacteristic
331#23919C15111yesmaximal, characteristic, direct product factor, Sylow
332C151#2391911yescharacteristic, direct product factor, Sylow
333C22×C22⋊Q8C2×C15111yescharacteristic, complemented
334C22×#121C2×C15111yescharacteristic
335C2×#448C2×C15112yescomplemented
336C2×#450C2×C15112yescomplemented
337#2000C2×C15114yescomplemented
338#1874C2×C15112yescomplemented
339#1872C2×C15112yescomplemented
340#1779C2×C15111yescharacteristic, complemented
341C23×Q8C22×C15111yescharacteristic, complemented
342C23×D4—21no—
343C23×D4C22×C15111yescharacteristic
344C24×C4C22×C15111yescharacteristic
345C22×SD16C22×C15114yescomplemented
346C2×C22⋊Q8—21no—
347C2×C22⋊Q8—21no—
348C2×C22⋊Q8—28no—
349C2×C22⋊Q8C22×C15112yes—
350C2×C22⋊Q8C22×C15112yescomplemented
351C2×#121—21no—
352C2×#121—21no—
353C2×#121—28no—
354C2×#121C22×C15112yes—
355C2×#121C22×C15112yes—
356C22×C4⋊C4—21no—
357C22×C4⋊C4C22×C15111yescharacteristic
358C22×C4⋊C4C22×C15111yescharacteristic, complemented
359C22×C22⋊C4—21no—
360C22×C22⋊C4—21no—
361#450—28no—
362#448—28no—
363C2×#103C22×C15114yescomplemented
364C2×#102C22×C15114yescomplemented
365C2×C22⋊C8C22×C15112yes—
366C2×C22⋊C8C22×C15112yescomplemented
367C2×C22⋊C8C22×C15112yescomplemented
368#340C22×C15114yescomplemented
369C25—21no—
370C25D4×C15111yescharacteristic
371C22×Q8—24no—
372C22×Q8—21no—
373C22×Q8—24no—
374C22×Q8—42no—
375C22×Q8C23×C15112yes—
376C22×D4—28no—
377C22×D4—22no—
378C22×D4—22no—
379C22×D4—24no—
380C22×D4—21no—
381C22×D4—24no—
382C22×D4—42no—
383C22×D4—44no—
384C22×D4—44no—
385C22×D4C23×C15112yes—
386C23×C4—21no—
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—24no—
390C23×C4—24no—
391C23×C4—42no—
392C23×C4D4×C15111yescharacteristic
393C23×C4D4×C15111yescharacteristic
394C23×C4D4×C15111yescharacteristic
395C23×C4C23×C15111yescharacteristic
396C23×C4C23×C15111yescharacteristic
397C23×C4C23×C15111yescharacteristic
398C2×SD16—28no—
399C2×SD16—28no—
400C2×SD16—44no—
401C22×C8C23×C15114yes—
402C22⋊Q8—28no—
403C22⋊Q8—28no—
404C22⋊Q8—24no—
405C22⋊Q8—24no—
406C22⋊Q8—24no—
407C22⋊Q8D4×C15118yescomplemented
408#121—28no—
409#121—28no—
410#121—24no—
411#121—24no—
412#121—24no—
413#121D4×C15118yes—
414C2×C4⋊C4—28no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4C23×C15112yes—
422C2×C4⋊C4C23×C15112yes—
423C2×C22⋊C4—28no—
424C2×C22⋊C4—28no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429#103—28no—
430#102—28no—
431C22⋊C8—24no—
432C22⋊C8—24no—
433C22⋊C8—42no—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—24no—
439C24—22no—
440C24—41no—
441C24—41no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24—42no—
448C24SD16×C15114yescomplemented
449C24C2×D4×C15111yescharacteristic
450C24C2×D4×C15111yescharacteristic
451C24C2×D4×C15111yescharacteristic
452C2×Q8—24no—
453C2×Q8—22no—
454C2×Q8—24no—
455C2×Q8—24no—
456C2×Q8—416no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8C2×D4×C15114yescomplemented
460C2×D4—24no—
461C2×D4—28no—
462C2×D4—28no—
463C2×D4—24no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—416no—
467C2×D4—42no—
468C2×D4—432no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—42no—
474C2×D4C2×D4×C15114yes—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—416no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4C2×D4×C15111yescharacteristic
505C22×C4C2×D4×C15111yescharacteristic
506C22×C4C2×D4×C15111yescharacteristic
507C22×C4C2×D4×C15114yes—
508C22×C4C2×D4×C15114yes—
509C22×C4C24×C15111yescharacteristic
510SD16—416no—
511C2×C8—24no—
512C2×C8—24no—
513C2×C8—24no—
514C4⋊C4—24no—
515C4⋊C4—24no—
516C4⋊C4—28no—
517C4⋊C4—28no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4C2×D4×C15114yes—
521C4⋊C4C2×D4×C15114yescomplemented
522C22⋊C4—28no—
523C22⋊C4—28no—
524C22⋊C4—28no—
525C22⋊C4—28no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—28no—
535C23—28no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—24no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23—44no—
548C23—48no—
549C23—48no—
550C23—48no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—84no—
558C23—84no—
559C23—84no—
560C23—84no—
561C23#120×C15112yes—
562C23#120×C15112yes—
563C23C2×SD16×C15112yes—
564C23C2×SD16×C15112yes—
565C23C2×SD16×C15112yes—
566C23AGL(1,ℤ/8)×C15112yes—
567C23#137×C15112yes—
568C23C22×D4×C15111yescharacteristic
569Q8—28no—
570Q8—48no—
571Q8—44no—
572D4—28no—
573D4—48no—
574D4—416no—
575D4—416no—
576D4—44no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—28no—
582C2×C4—28no—
583C2×C4—21no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—44no—
592C2×C4—48no—
593C2×C4—48no—
594C2×C4—48no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—44no—
602C2×C4#120×C15112yes—
603C2×C4#120×C15112yes—
604C2×C4C22×D4×C15112yes—
605C2×C4C22×D4×C15112yes—
606C2×C4H(5,𝔽2)×C15112yes—
607C8—44no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—416no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—44no—
629C22—44no—
630C22—44no—
631C22—816no—
632C22—82no—
633C22—82no—
634C22—82no—
635C22—82no—
636C22#448×C15114yescomplemented
637C22#450×C15114yescomplemented
638C22C2×#120×C15111yescharacteristic
639C22C2×#120×C15111yescharacteristic
640C22#534×C15111yescharacteristic
641C22C22×SD16×C15111yescharacteristic
642C22C2×AGL(1,ℤ/8)×C15111yescharacteristic
643C22C2×#137×C15111yescharacteristic
644C22#575×C15111yescharacteristic
645C4—22no—
646C4—22no—
647C4—41no—
648C4—44no—
649C4—44no—
650C4—44no—
651C4D42×C15114yes—
652C2—24no—
653C2—24no—
654C2—42no—
655C2—84no—
656C2#2403×C15111yescharacteristic
657C2C2×#450×C15111yescharacteristic
658C2C2×#448×C15111yescharacteristic
659C2#3006×C15111yescharacteristic
660C2#3007×C15111yescharacteristic
661C2#3187×C15111yescharacteristic
662C2#3193×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC22×#121×C151C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C24×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C22⋊Q8×C151C2semidirect
3. C2×#448×C151C2semidirect
4. C2×#450×C151C2semidirect
5. #2000×C151C2semidirect
6. #1874×C151C2semidirect
7. #1872×C151C2semidirect
8. #1779×C151C2semidirect
9. C23×Q8×C151C22semidirect
13. C22×SD16×C151C22semidirect
18. C2×C22⋊Q8×C151C22semidirect
26. C22×C4⋊C4×C151C22semidirect
31. C2×#103×C151C22semidirect
32. C2×#102×C151C22semidirect
34. C2×C22⋊C8×C151C22semidirect
35. C2×C22⋊C8×C151C22semidirect
36. #340×C151C22semidirect
75. C22⋊Q8×C151D4semidirect
116. C24×C151SD16semidirect
127. C2×Q8×C151C2×D4semidirect
189. C4⋊C4×C151C2×D4semidirect
304. C22×C151#448semidirect
305. C22×C151#450semidirect
331. #23919C151direct (N × H)
332. C151#23919direct (N × H)
333. C22×C22⋊Q8C2×C151semidirect
335. C2×#448C2×C151semidirect
336. C2×#450C2×C151semidirect
337. #2000C2×C151semidirect
338. #1874C2×C151semidirect
339. #1872C2×C151semidirect
340. #1779C2×C151semidirect
341. C23×Q8C22×C151semidirect
345. C22×SD16C22×C151semidirect
350. C2×C22⋊Q8C22×C151semidirect
358. C22×C4⋊C4C22×C151semidirect
363. C2×#103C22×C151semidirect
364. C2×#102C22×C151semidirect
366. C2×C22⋊C8C22×C151semidirect
367. C2×C22⋊C8C22×C151semidirect
368. #340C22×C151semidirect
407. C22⋊Q8D4×C151semidirect
448. C24SD16×C151semidirect
459. C2×Q8C2×D4×C151semidirect
521. C4⋊C4C2×D4×C151semidirect
636. C22#448×C151semidirect
637. C22#450×C151semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊Q8×C1512
C22×#121×C1512
C2×#448×C1512
C2×#450×C1512
#2000×C1512
#1874×C1512
#1872×C1512
#1779×C1512
#23919151