Finite Group Databasebeta

← C151×#19773 #50324698

Subgroups — C151×#19773 #50324698

Order 38656.

712 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3360×C151C211yesmaximal, characteristic, complemented
2#3324×C151C211yesmaximal, characteristic, complemented
3#3295×C151C211yesmaximal, characteristic, complemented
4D4×D8×C151C211yesmaximal, characteristic
5#1717×C151C211yesmaximal, characteristic, complemented
6#1697×C151C211yesmaximal, characteristic, complemented
7#1683×C151C211yesmaximal, characteristic, complemented
8#1681×C151C211yesmaximal, characteristic, complemented
9#1668×C151C211yesmaximal, characteristic, complemented
10#1639×C151C211yesmaximal, characteristic, complemented
11#1629×C151C211yesmaximal, characteristic, complemented
12#1628×C151C211yesmaximal, characteristic, complemented
13#1622×C151C211yesmaximal, characteristic, complemented
14#1581×C151C211yesmaximal, characteristic, complemented
15SD16⋊C8×C151C211yesmaximal, characteristic, complemented
16C22×D8×C151—21no—
17#556×C151C2211yescharacteristic, complemented
18#554×C151C2211yescharacteristic, complemented
19D42×C151C2211yescharacteristic
20D42×C151C2211yescharacteristic
21#493×C151C2211yescharacteristic
22#492×C151C2211yescharacteristic, complemented
23#488×C151—21no—
24#487×C151C2211yescharacteristic, complemented
25#486×C151C2211yescharacteristic, complemented
26#486×C151C2211yescharacteristic, complemented
27#486×C151C2211yescharacteristic, complemented
28#482×C151—21no—
29#481×C151—21no—
30#479×C151—21no—
31#476×C151C2211yescharacteristic
32#476×C151C2211yescharacteristic, complemented
33#474×C151C2211yescharacteristic
34#468×C151—21no—
35#466×C151—21no—
36#465×C151—21no—
37#463×C151—21no—
38#461×C151C2211yescharacteristic, complemented
39#460×C151C2211yescharacteristic, complemented
40#460×C151C2211yescharacteristic, complemented
41#459×C151C2211yescharacteristic
42#459×C151C2211yescharacteristic
43#450×C151—21no—
44#450×C151—21no—
45#447×C151—21no—
46#447×C151—21no—
47C8×Q8×C151C2211yescharacteristic, complemented
48C4×SD16×C151—21no—
49C4×SD16×C151C2211yescharacteristic
50C4×D8×C151C2211yescharacteristic
51#436×C151C2211yescharacteristic, complemented
52C8×D4×C151C2211yescharacteristic
53C8×D4×C151C2211yescharacteristic, complemented
54#418×C151—21no—
55C2×#102×C151—21no—
56#335×C151C2211yescharacteristic, complemented
57#335×C151C2211yescharacteristic, complemented
58#333×C151C2211yescharacteristic, complemented
59#332×C151C2211yescharacteristic, complemented
60#331×C151C2211yescharacteristic, complemented
61#331×C151C2211yescharacteristic, complemented
62Q8⋊C8×C151C2211yescharacteristic, complemented
63D4⋊C8×C151C2211yescharacteristic
64D4⋊C8×C151C2211yescharacteristic, complemented
65D4⋊C8×C151C2211yescharacteristic, complemented
66#322×C151C2211yescharacteristic, complemented
67C22×D4×C151—21no—
68C22×D4×C151—21no—
69C22×D4×C151—21no—
70C22×D4×C151—21no—
71C2×SD16×C151—21no—
72C2×SD16×C151—21no—
73C2×SD16×C151—21no—
74C2×SD16×C151—41no—
75C2×SD16×C151D411yescharacteristic
76C2×D8×C151—21no—
77C2×D8×C151—21no—
78C2×D8×C151—21no—
79C2×D8×C151—21no—
80C2×D8×C151—44no—
81C2×D8×C151D411yescharacteristic
82C2×M16×C151—21no—
83C22×C8×C151—21no—
84C22×C8×C151—21no—
85C4⋊Q8×C151C2311yescharacteristic
86C4⋊Q8×C151C2311yescharacteristic
87#127×C151C2311yescharacteristic
88#127×C151C2311yescharacteristic
89#126×C151—41no—
90#125×C151—21no—
91#124×C151—21no—
92C22⋊Q8×C151—21no—
93C22⋊Q8×C151—21no—
94C22⋊Q8×C151—41no—
95#121×C151—21no—
96#121×C151—21no—
97#121×C151—21no—
98#121×C151—21no—
99#120×C151—41no—
100#120×C151—41no—
101C4×Q8×C151—21no—
102C4×Q8×C151C2311yescharacteristic
103C4×D4×C151—21no—
104C4×D4×C151C2311yescharacteristic
105C4×D4×C151C2311yescharacteristic
106C4×D4×C151C2311yescharacteristic
107#117×C151—21no—
108C2×C4⋊C4×C151—21no—
109#107×C151—21no—
110#107×C151D411yescharacteristic
111#106×C151—21no—
112#106×C151—21no—
113#106×C151D411yescharacteristic
114C4⋊C8×C151—21no—
115C4⋊C8×C151C2311yescharacteristic
116C4⋊C8×C151C2311yescharacteristic
117C4⋊C8×C151C2311yescharacteristic
118C4⋊C8×C151C2311yescharacteristic
119#103×C151—21no—
120#103×C151—21no—
121#103×C151—21no—
122#103×C151D411yescharacteristic
123#102×C151—21no—
124#102×C151—21no—
125#102×C151—21no—
126#102×C151—21no—
127#102×C151—21no—
128#102×C151—21no—
129#102×C151—21no—
130#102×C151—21no—
131#102×C151—21no—
132#102×C151—21no—
133#102×C151—21no—
134#102×C151—41no—
135#102×C151D411yescharacteristic
136#102×C151D411yescharacteristic
137#102×C151D411yescharacteristic
138C22⋊C8×C151—21no—
139C22⋊C8×C151—21no—
140C22⋊C8×C151—21no—
141C4×C8×C151—21no—
142C4×C8×C151C2311yescharacteristic
143C4×C8×C151C2311yescharacteristic
144C4×C8×C151C2311yescharacteristic
145C24×C151—41no—
146C24×C151—41no—
147C2×Q8×C151—21no—
148C2×Q8×C151—21no—
149C2×Q8×C151C2×D411yescharacteristic
150C2×D4×C151—21no—
151C2×D4×C151—21no—
152C2×D4×C151—21no—
153C2×D4×C151—21no—
154C2×D4×C151—21no—
155C2×D4×C151—21no—
156C2×D4×C151—41no—
157C2×D4×C151—41no—
158C2×D4×C151—41no—
159C2×D4×C151—41no—
160C2×D4×C151—42no—
161C2×D4×C151—42no—
162C2×D4×C151—42no—
163C2×D4×C151—42no—
164C2×D4×C151—81no—
165C2×D4×C151—81no—
166C2×D4×C151—81no—
167C2×D4×C151—81no—
168C2×D4×C151C2×D411yescharacteristic
169C2×D4×C151C2×D411yescharacteristic
170C2×D4×C151C2×D411yescharacteristic
171C22×C4×C151—21no—
172C22×C4×C151—21no—
173C22×C4×C151—21no—
174C22×C4×C151—41no—
175SD16×C151—22no—
176SD16×C151—42no—
177SD16×C151—81no—
178SD16×C151—81no—
179SD16×C151—82no—
180D8×C151—22no—
181D8×C151—42no—
182D8×C151—42no—
183D8×C151—42no—
184D8×C151—81no—
185M16×C151—81no—
186C2×C8×C151—21no—
187C2×C8×C151—21no—
188C2×C8×C151—21no—
189C2×C8×C151—21no—
190C2×C8×C151—21no—
191C2×C8×C151—42no—
192C2×C8×C151—81no—
193C2×C8×C151C2×D411yescharacteristic
194C2×C8×C151C2×D411yescharacteristic
195C2×C8×C151C2×D411yescharacteristic
196C2×C8×C151C2×D411yescharacteristic
197C4⋊C4×C151—21no—
198C4⋊C4×C151—21no—
199C4⋊C4×C151—21no—
200C4⋊C4×C151—21no—
201C4⋊C4×C151—21no—
202C4⋊C4×C151—41no—
203C4⋊C4×C151—41no—
204C4⋊C4×C151—41no—
205C4⋊C4×C151C2×D411yescharacteristic
206C4⋊C4×C151C2×D411yescharacteristic
207C4⋊C4×C151C2×D411yescharacteristic
208C4⋊C4×C151C2×D411yescharacteristic
209C22⋊C4×C151—21no—
210C22⋊C4×C151—21no—
211C22⋊C4×C151—21no—
212C22⋊C4×C151—41no—
213C22⋊C4×C151—41no—
214C22⋊C4×C151—41no—
215C22⋊C4×C151—41no—
216C22⋊C4×C151—41no—
217C42×C151—21no—
218C42×C151—41no—
219C42×C151C2411yescharacteristic
220C23×C151—21no—
221C23×C151—21no—
222C23×C151—21no—
223C23×C151—41no—
224C23×C151—41no—
225C23×C151—82no—
226C23×C151—82no—
227C23×C151—82no—
228C23×C151—82no—
229C23×C151—161no—
230C23×C151—161no—
231Q8×C151—21no—
232Q8×C151—21no—
233Q8×C151—41no—
234Q8×C151—41no—
235Q8×C151—81no—
236D4×C151—21no—
237D4×C151—21no—
238D4×C151—21no—
239D4×C151—21no—
240D4×C151—41no—
241D4×C151—41no—
242D4×C151—41no—
243D4×C151—41no—
244D4×C151—41no—
245D4×C151—41no—
246D4×C151—41no—
247D4×C151—41no—
248D4×C151—81no—
249D4×C151—81no—
250D4×C151—82no—
251D4×C151—82no—
252D4×C151—82no—
253D4×C151—82no—
254D4×C151#13512yes—
255D4×C151AGL(1,ℤ/8)12yes—
256C2×C4×C151—21no—
257C2×C4×C151—21no—
258C2×C4×C151—21no—
259C2×C4×C151—21no—
260C2×C4×C151—21no—
261C2×C4×C151—41no—
262C2×C4×C151—41no—
263C2×C4×C151—41no—
264C2×C4×C151—41no—
265C2×C4×C151—41no—
266C2×C4×C151—41no—
267C2×C4×C151—41no—
268C2×C4×C151—41no—
269C2×C4×C151—161no—
270C2×C4×C151C22×D411yescharacteristic
271C2×C4×C151C22×D411yescharacteristic
272C2×C4×C151H(5,𝔽2)11yescharacteristic
273C8×C151—21no—
274C8×C151—21no—
275C8×C151—21no—
276C8×C151—21no—
277C8×C151—41no—
278C8×C151—41no—
279C8×C151—41no—
280C8×C151—41no—
281C8×C151—41no—
282C22×C151—22no—
283C22×C151—22no—
284C22×C151—41no—
285C22×C151—41no—
286C22×C151—41no—
287C22×C151—41no—
288C22×C151—41no—
289C22×C151—41no—
290C22×C151—41no—
291C22×C151—81no—
292C22×C151—81no—
293C22×C151—81no—
294C22×C151—81no—
295C22×C151—81no—
296C22×C151—81no—
297C22×C151—164no—
298C22×C151—164no—
299C22×C151D4211yescharacteristic
300C4×C151—21no—
301C4×C151—41no—
302C4×C151—41no—
303C4×C151—41no—
304C4×C151—41no—
305C4×C151—41no—
306C4×C151—81no—
307C4×C151—81no—
308C4×C151C2×#13511yescharacteristic
309C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
310C4×C151#57611yescharacteristic
311C4×C151#57711yescharacteristic
312C2×C151—42no—
313C2×C151—42no—
314C2×C151—81no—
315C2×C151—161no—
316C2×C151—161no—
317C2×C151#326511yescharacteristic
318C2×C151#328011yescharacteristic
319C2×C151#328811yescharacteristic
320#19773C15111yesmaximal, characteristic, direct product factor, Sylow
321C151#1977311yescharacteristic, direct product factor, Sylow
322#3360C2×C15111yescharacteristic, complemented
323#3324C2×C15111yescharacteristic, complemented
324#3295C2×C15111yescharacteristic, complemented
325D4×D8C2×C15111yescharacteristic
326#1717C2×C15111yescharacteristic, complemented
327#1697C2×C15111yescharacteristic, complemented
328#1683C2×C15111yescharacteristic, complemented
329#1681C2×C15111yescharacteristic, complemented
330#1668C2×C15111yescharacteristic, complemented
331#1639C2×C15111yescharacteristic, complemented
332#1629C2×C15111yescharacteristic, complemented
333#1628C2×C15111yescharacteristic, complemented
334#1622C2×C15111yescharacteristic, complemented
335#1581C2×C15111yescharacteristic, complemented
336SD16⋊C8C2×C15111yescharacteristic, complemented
337C22×D8—21no—
338#556C22×C15111yescharacteristic, complemented
339#554C22×C15111yescharacteristic, complemented
340D42C22×C15111yescharacteristic
341D42C22×C15111yescharacteristic
342#493C22×C15111yescharacteristic
343#492C22×C15111yescharacteristic, complemented
344#488—21no—
345#487C22×C15111yescharacteristic, complemented
346#486C22×C15111yescharacteristic, complemented
347#486C22×C15111yescharacteristic, complemented
348#486C22×C15111yescharacteristic, complemented
349#482—21no—
350#481—21no—
351#479—21no—
352#476C22×C15111yescharacteristic
353#476C22×C15111yescharacteristic, complemented
354#474C22×C15111yescharacteristic
355#468—21no—
356#466—21no—
357#465—21no—
358#463—21no—
359#461C22×C15111yescharacteristic, complemented
360#460C22×C15111yescharacteristic, complemented
361#460C22×C15111yescharacteristic, complemented
362#459C22×C15111yescharacteristic
363#459C22×C15111yescharacteristic
364#450—21no—
365#450—21no—
366#447—21no—
367#447—21no—
368C8×Q8C22×C15111yescharacteristic, complemented
369C4×SD16—21no—
370C4×SD16C22×C15111yescharacteristic
371C4×D8C22×C15111yescharacteristic
372#436C22×C15111yescharacteristic, complemented
373C8×D4C22×C15111yescharacteristic
374C8×D4C22×C15111yescharacteristic, complemented
375#418—21no—
376C2×#102—21no—
377#335C22×C15111yescharacteristic, complemented
378#335C22×C15111yescharacteristic, complemented
379#333C22×C15111yescharacteristic, complemented
380#332C22×C15111yescharacteristic, complemented
381#331C22×C15111yescharacteristic, complemented
382#331C22×C15111yescharacteristic, complemented
383Q8⋊C8C22×C15111yescharacteristic, complemented
384D4⋊C8C22×C15111yescharacteristic
385D4⋊C8C22×C15111yescharacteristic, complemented
386D4⋊C8C22×C15111yescharacteristic, complemented
387#322C22×C15111yescharacteristic, complemented
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—41no—
396C2×SD16D4×C15111yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—44no—
402C2×D8D4×C15111yescharacteristic
403C2×M16—21no—
404C22×C8—21no—
405C22×C8—21no—
406C4⋊Q8C23×C15111yescharacteristic
407C4⋊Q8C23×C15111yescharacteristic
408#127C23×C15111yescharacteristic
409#127C23×C15111yescharacteristic
410#126—41no—
411#125—21no—
412#124—21no—
413C22⋊Q8—21no—
414C22⋊Q8—21no—
415C22⋊Q8—41no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—21no—
420#120—41no—
421#120—41no—
422C4×Q8—21no—
423C4×Q8C23×C15111yescharacteristic
424C4×D4—21no—
425C4×D4C23×C15111yescharacteristic
426C4×D4C23×C15111yescharacteristic
427C4×D4C23×C15111yescharacteristic
428#117—21no—
429C2×C4⋊C4—21no—
430#107—21no—
431#107D4×C15111yescharacteristic
432#106—21no—
433#106—21no—
434#106D4×C15111yescharacteristic
435C4⋊C8—21no—
436C4⋊C8C23×C15111yescharacteristic
437C4⋊C8C23×C15111yescharacteristic
438C4⋊C8C23×C15111yescharacteristic
439C4⋊C8C23×C15111yescharacteristic
440#103—21no—
441#103—21no—
442#103—21no—
443#103D4×C15111yescharacteristic
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—41no—
456#102D4×C15111yescharacteristic
457#102D4×C15111yescharacteristic
458#102D4×C15111yescharacteristic
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462C4×C8—21no—
463C4×C8C23×C15111yescharacteristic
464C4×C8C23×C15111yescharacteristic
465C4×C8C23×C15111yescharacteristic
466C24—41no—
467C24—41no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×D4×C15111yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C15111yescharacteristic
490C2×D4C2×D4×C15111yescharacteristic
491C2×D4C2×D4×C15111yescharacteristic
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—41no—
496SD16—22no—
497SD16—42no—
498SD16—81no—
499SD16—81no—
500SD16—82no—
501D8—22no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—81no—
506M16—81no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8C2×D4×C15111yescharacteristic
515C2×C8C2×D4×C15111yescharacteristic
516C2×C8C2×D4×C15111yescharacteristic
517C2×C8C2×D4×C15111yescharacteristic
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C15111yescharacteristic
527C4⋊C4C2×D4×C15111yescharacteristic
528C4⋊C4C2×D4×C15111yescharacteristic
529C4⋊C4C2×D4×C15111yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42—41no—
540C42C24×C15111yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—82no—
547C23—82no—
548C23—82no—
549C23—82no—
550C23—161no—
551C23—161no—
552Q8—21no—
553Q8—21no—
554Q8—41no—
555Q8—41no—
556Q8—81no—
557D4—21no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—81no—
570D4—81no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4—82no—
575D4#135×C15112yes—
576D4AGL(1,ℤ/8)×C15112yes—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—161no—
591C2×C4C22×D4×C15111yescharacteristic
592C2×C4C22×D4×C15111yescharacteristic
593C2×C4H(5,𝔽2)×C15111yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—21no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—164no—
619C22—164no—
620C22D42×C15111yescharacteristic
621C4—21no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4C2×#135×C15111yescharacteristic
630C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
631C4#576×C15111yescharacteristic
632C4#577×C15111yescharacteristic
633C2—42no—
634C2—42no—
635C2—81no—
636C2—161no—
637C2—161no—
638C2#3265×C15111yescharacteristic
639C2#3280×C15111yescharacteristic
640C2#3288×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutator, Frattini, cosocleC42C24×C151
prime radicalD4×D8×C151C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3360×C151C2semidirect
2. #3324×C151C2semidirect
3. #3295×C151C2semidirect
5. #1717×C151C2semidirect
6. #1697×C151C2semidirect
7. #1683×C151C2semidirect
8. #1681×C151C2semidirect
9. #1668×C151C2semidirect
10. #1639×C151C2semidirect
11. #1629×C151C2semidirect
12. #1628×C151C2semidirect
13. #1622×C151C2semidirect
14. #1581×C151C2semidirect
15. SD16⋊C8×C151C2semidirect
17. #556×C151C22semidirect
18. #554×C151C22semidirect
22. #492×C151C22semidirect
24. #487×C151C22semidirect
25. #486×C151C22semidirect
26. #486×C151C22semidirect
27. #486×C151C22semidirect
32. #476×C151C22semidirect
38. #461×C151C22semidirect
39. #460×C151C22semidirect
40. #460×C151C22semidirect
47. C8×Q8×C151C22semidirect
51. #436×C151C22semidirect
53. C8×D4×C151C22semidirect
56. #335×C151C22semidirect
57. #335×C151C22semidirect
58. #333×C151C22semidirect
59. #332×C151C22semidirect
60. #331×C151C22semidirect
61. #331×C151C22semidirect
62. Q8⋊C8×C151C22semidirect
64. D4⋊C8×C151C22semidirect
65. D4⋊C8×C151C22semidirect
66. #322×C151C22semidirect
320. #19773C151direct (N × H)
321. C151#19773direct (N × H)
322. #3360C2×C151semidirect
323. #3324C2×C151semidirect
324. #3295C2×C151semidirect
326. #1717C2×C151semidirect
327. #1697C2×C151semidirect
328. #1683C2×C151semidirect
329. #1681C2×C151semidirect
330. #1668C2×C151semidirect
331. #1639C2×C151semidirect
332. #1629C2×C151semidirect
333. #1628C2×C151semidirect
334. #1622C2×C151semidirect
335. #1581C2×C151semidirect
336. SD16⋊C8C2×C151semidirect
338. #556C22×C151semidirect
339. #554C22×C151semidirect
343. #492C22×C151semidirect
345. #487C22×C151semidirect
346. #486C22×C151semidirect
347. #486C22×C151semidirect
348. #486C22×C151semidirect
353. #476C22×C151semidirect
359. #461C22×C151semidirect
360. #460C22×C151semidirect
361. #460C22×C151semidirect
368. C8×Q8C22×C151semidirect
372. #436C22×C151semidirect
374. C8×D4C22×C151semidirect
377. #335C22×C151semidirect
378. #335C22×C151semidirect
379. #333C22×C151semidirect
380. #332C22×C151semidirect
381. #331C22×C151semidirect
382. #331C22×C151semidirect
383. Q8⋊C8C22×C151semidirect
385. D4⋊C8C22×C151semidirect
386. D4⋊C8C22×C151semidirect
387. #322C22×C151semidirect

Maximal subgroups

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

subgroupindex
#3360×C1512
#3324×C1512
#3295×C1512
D4×D8×C1512
#1717×C1512
#1697×C1512
#1683×C1512
#1681×C1512
#1668×C1512
#1639×C1512
#1629×C1512
#1628×C1512
#1622×C1512
#1581×C1512
SD16⋊C8×C1512
#19773151