Finite Group Databasebeta

← C151×#19772 #50324697

Subgroups — C151×#19772 #50324697

Order 38656.

710 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3330×C151C211yesmaximal, characteristic, complemented
2#3294×C151C211yesmaximal, characteristic, complemented
3#3294×C151C211yesmaximal, characteristic, complemented
4#3283×C151C211yesmaximal, characteristic, complemented
5#1720×C151C211yesmaximal, characteristic, complemented
6#1701×C151C211yesmaximal, characteristic, complemented
7#1681×C151C211yesmaximal, characteristic, complemented
8#1679×C151C211yesmaximal, characteristic, complemented
9#1669×C151C211yesmaximal, characteristic, complemented
10#1654×C151C211yesmaximal, characteristic, complemented
11#1654×C151C211yesmaximal, characteristic, complemented
12#1639×C151C211yesmaximal, characteristic, complemented
13#1625×C151C211yesmaximal, characteristic, complemented
14#1581×C151C211yesmaximal, characteristic, complemented
15#1580×C151C211yesmaximal, characteristic, complemented
16C2×#135×C151—21no—
17#547×C151C2211yescharacteristic
18#547×C151C2211yescharacteristic
19#547×C151C2211yescharacteristic, complemented
20D42×C151C2211yescharacteristic
21#498×C151C2211yescharacteristic, complemented
22#494×C151C2211yescharacteristic, complemented
23#487×C151C2211yescharacteristic, complemented
24#486×C151C2211yescharacteristic
25#486×C151C2211yescharacteristic
26#486×C151C2211yescharacteristic
27#484×C151—21no—
28#480×C151—21no—
29#480×C151—21no—
30#474×C151C2211yescharacteristic
31#474×C151C2211yescharacteristic
32#474×C151C2211yescharacteristic
33#468×C151—21no—
34#467×C151—21no—
35#466×C151—21no—
36#466×C151—21no—
37#461×C151C2211yescharacteristic
38#461×C151C2211yescharacteristic, complemented
39#461×C151C2211yescharacteristic, complemented
40#459×C151C2211yescharacteristic
41#459×C151C2211yescharacteristic
42#452×C151—21no—
43#452×C151—21no—
44#449×C151—21no—
45#447×C151—21no—
46#447×C151—21no—
47C4×D8×C151C2211yescharacteristic
48C4×D8×C151C2211yescharacteristic
49#436×C151C2211yescharacteristic, complemented
50C8×D4×C151C2211yescharacteristic
51C8×D4×C151C2211yescharacteristic
52C8×D4×C151C2211yescharacteristic, complemented
53#417×C151—21no—
54C2×#102×C151—21no—
55C2×#102×C151—21no—
56#335×C151C2211yescharacteristic, complemented
57#334×C151C2211yescharacteristic, complemented
58#332×C151C2211yescharacteristic, complemented
59#332×C151C2211yescharacteristic, complemented
60#332×C151C2211yescharacteristic, complemented
61#331×C151C2211yescharacteristic
62D4⋊C8×C151C2211yescharacteristic
63D4⋊C8×C151C2211yescharacteristic
64D4⋊C8×C151C2211yescharacteristic, complemented
65D4⋊C8×C151C2211yescharacteristic, complemented
66#322×C151C2211yescharacteristic, complemented
67C2×#41×C151—21no—
68C2×#41×C151—21no—
69C2×#41×C151—21no—
70C22×D4×C151—21no—
71C22×D4×C151—21no—
72#135×C151—44no—
73C2×Q16×C151—21no—
74C2×Q16×C151—21no—
75C2×SD16×C151—21no—
76C2×SD16×C151—21no—
77C2×SD16×C151—21no—
78C2×D8×C151—21no—
79C2×D8×C151—21no—
80C2×D8×C151D411yescharacteristic
81C2×D8×C151D411yescharacteristic
82C2×M16×C151—21no—
83C22×C8×C151—21no—
84C22×C8×C151—21no—
85C22×C8×C151—21no—
86C4⋊Q8×C151C2311yescharacteristic
87C4⋊Q8×C151C2311yescharacteristic
88C4⋊Q8×C151C2311yescharacteristic
89#127×C151C2311yescharacteristic
90#123×C151—41no—
91#123×C151—41no—
92#123×C151—41no—
93C22⋊Q8×C151—21no—
94C22⋊Q8×C151—21no—
95C22⋊Q8×C151—21no—
96#121×C151—21no—
97#121×C151—21no—
98#121×C151—21no—
99#121×C151—21no—
100#121×C151—21no—
101#120×C151—41no—
102C4×D4×C151C2311yescharacteristic
103C4×D4×C151C2311yescharacteristic
104C4×D4×C151C2311yescharacteristic
105C4×D4×C151C2311yescharacteristic
106C2×C4⋊C4×C151—21no—
107C2×C4⋊C4×C151—21no—
108C2×C4⋊C4×C151—21no—
109#107×C151—21no—
110#107×C151—21no—
111#107×C151—21no—
112#107×C151D411yescharacteristic
113#107×C151D411yescharacteristic
114#106×C151—41no—
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×C151—21no—
123#103×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—41no—
134#102×C151D411yescharacteristic
135#102×C151D411yescharacteristic
136#102×C151D411yescharacteristic
137#102×C151D411yescharacteristic
138C22⋊C8×C151—21no—
139C22⋊C8×C151—21no—
140C22⋊C8×C151—21no—
141C22⋊C8×C151—21no—
142C4×C8×C151C2311yescharacteristic
143C4×C8×C151C2311yescharacteristic
144C4×C8×C151C2311yescharacteristic
145C24×C151—41no—
146#41×C151—42no—
147#41×C151—42no—
148#41×C151—42no—
149#41×C151—81no—
150#41×C151—81no—
151#41×C151—81no—
152C2×Q8×C151—21no—
153C2×Q8×C151—21no—
154C2×Q8×C151—21no—
155C2×D4×C151—21no—
156C2×D4×C151—21no—
157C2×D4×C151—21no—
158C2×D4×C151—41no—
159C2×D4×C151—41no—
160C2×D4×C151—42no—
161C2×D4×C151—42no—
162C2×D4×C151—41no—
163C2×D4×C151—41no—
164C2×D4×C151—41no—
165C2×D4×C151—81no—
166C2×D4×C151—81no—
167C2×D4×C151C2×D411yescharacteristic
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—21no—
175C22×C4×C151—41no—
176C22×C4×C151—41no—
177C22×C4×C151—41no—
178Q16×C151—42no—
179Q16×C151—81no—
180SD16×C151—42no—
181SD16×C151—42no—
182SD16×C151—81no—
183D8×C151—22no—
184D8×C151—22no—
185D8×C151—81no—
186D8×C151—81no—
187M16×C151—81no—
188C2×C8×C151—21no—
189C2×C8×C151—21no—
190C2×C8×C151—21no—
191C2×C8×C151—21no—
192C2×C8×C151—21no—
193C2×C8×C151—42no—
194C2×C8×C151—81no—
195C2×C8×C151—81no—
196C2×C8×C151C2×D411yescharacteristic
197C2×C8×C151C2×D411yescharacteristic
198C2×C8×C151C2×D411yescharacteristic
199C2×C8×C151C2×D411yescharacteristic
200C4⋊C4×C151—21no—
201C4⋊C4×C151—21no—
202C4⋊C4×C151—21no—
203C4⋊C4×C151—21no—
204C4⋊C4×C151—21no—
205C4⋊C4×C151—21no—
206C4⋊C4×C151—41no—
207C4⋊C4×C151—41no—
208C4⋊C4×C151—41no—
209C4⋊C4×C151C2×D411yescharacteristic
210C4⋊C4×C151C2×D411yescharacteristic
211C4⋊C4×C151C2×D411yescharacteristic
212C4⋊C4×C151C2×D411yescharacteristic
213C22⋊C4×C151—21no—
214C22⋊C4×C151—21no—
215C22⋊C4×C151—21no—
216C22⋊C4×C151—21no—
217C22⋊C4×C151—41no—
218C22⋊C4×C151—41no—
219C22⋊C4×C151—41no—
220C22⋊C4×C151—41no—
221C42×C151C2411yescharacteristic
222C23×C151—21no—
223C23×C151—21no—
224C23×C151—21no—
225C23×C151—21no—
226C23×C151—41no—
227C23×C151—82no—
228C23×C151—82no—
229C23×C151—161no—
230Q8×C151—41no—
231Q8×C151—41no—
232Q8×C151—41no—
233Q8×C151—41no—
234Q8×C151—41no—
235Q8×C151—41no—
236D4×C151—21no—
237D4×C151—21no—
238D4×C151—21no—
239D4×C151—21no—
240D4×C151—21no—
241D4×C151—21no—
242D4×C151—41no—
243D4×C151—41no—
244D4×C151—41no—
245D4×C151—41no—
246D4×C151—81no—
247D4×C151—82no—
248D4×C151—82no—
249D4×C151—82no—
250D4×C151—82no—
251D4×C151—82no—
252D4×C151#13512yescomplemented
253D4×C151AGL(1,ℤ/8)12yes—
254C2×C4×C151—21no—
255C2×C4×C151—21no—
256C2×C4×C151—21no—
257C2×C4×C151—21no—
258C2×C4×C151—41no—
259C2×C4×C151—41no—
260C2×C4×C151—41no—
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—82no—
270C2×C4×C151—82no—
271C2×C4×C151—82no—
272C2×C4×C151C22×D411yescharacteristic
273C2×C4×C151C22×D411yescharacteristic
274C2×C4×C151H(5,𝔽2)11yescharacteristic
275C8×C151—21no—
276C8×C151—21no—
277C8×C151—21no—
278C8×C151—21no—
279C8×C151—41no—
280C8×C151—41no—
281C8×C151—41no—
282C8×C151—41no—
283C8×C151—41no—
284C22×C151—22no—
285C22×C151—22no—
286C22×C151—41no—
287C22×C151—41no—
288C22×C151—41no—
289C22×C151—41no—
290C22×C151—41no—
291C22×C151—41no—
292C22×C151—41no—
293C22×C151—41no—
294C22×C151—41no—
295C22×C151—41no—
296C22×C151—81no—
297C22×C151—81no—
298C22×C151—81no—
299C22×C151—164no—
300C22×C151D4211yescharacteristic
301C4×C151—21no—
302C4×C151—41no—
303C4×C151—41no—
304C4×C151—41no—
305C4×C151—41no—
306C4×C151—81no—
307C4×C151—81no—
308C4×C151—81no—
309C4×C151C2×#13511yescharacteristic
310C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C151#57611yescharacteristic
312C4×C151#57611yescharacteristic
313C2×C151—42no—
314C2×C151—42no—
315C2×C151—81no—
316C2×C151—81no—
317C2×C151—161no—
318C2×C151#326411yescharacteristic
319C2×C151#328011yescharacteristic
320C2×C151#328911yescharacteristic
321#19772C15111yesmaximal, characteristic, direct product factor, Sylow
322C151#1977211yescharacteristic, direct product factor, Sylow
323#3330C2×C15111yescharacteristic, complemented
324#3294C2×C15111yescharacteristic, complemented
325#3294C2×C15111yescharacteristic, complemented
326#3283C2×C15111yescharacteristic, complemented
327#1720C2×C15111yescharacteristic, complemented
328#1701C2×C15111yescharacteristic, complemented
329#1681C2×C15111yescharacteristic, complemented
330#1679C2×C15111yescharacteristic, complemented
331#1669C2×C15111yescharacteristic, complemented
332#1654C2×C15111yescharacteristic, complemented
333#1654C2×C15111yescharacteristic, complemented
334#1639C2×C15111yescharacteristic, complemented
335#1625C2×C15111yescharacteristic, complemented
336#1581C2×C15111yescharacteristic, complemented
337#1580C2×C15111yescharacteristic, complemented
338C2×#135—21no—
339#547C22×C15111yescharacteristic
340#547C22×C15111yescharacteristic
341#547C22×C15111yescharacteristic, complemented
342D42C22×C15111yescharacteristic
343#498C22×C15111yescharacteristic, complemented
344#494C22×C15111yescharacteristic, complemented
345#487C22×C15111yescharacteristic, complemented
346#486C22×C15111yescharacteristic
347#486C22×C15111yescharacteristic
348#486C22×C15111yescharacteristic
349#484—21no—
350#480—21no—
351#480—21no—
352#474C22×C15111yescharacteristic
353#474C22×C15111yescharacteristic
354#474C22×C15111yescharacteristic
355#468—21no—
356#467—21no—
357#466—21no—
358#466—21no—
359#461C22×C15111yescharacteristic
360#461C22×C15111yescharacteristic, complemented
361#461C22×C15111yescharacteristic, complemented
362#459C22×C15111yescharacteristic
363#459C22×C15111yescharacteristic
364#452—21no—
365#452—21no—
366#449—21no—
367#447—21no—
368#447—21no—
369C4×D8C22×C15111yescharacteristic
370C4×D8C22×C15111yescharacteristic
371#436C22×C15111yescharacteristic, complemented
372C8×D4C22×C15111yescharacteristic
373C8×D4C22×C15111yescharacteristic
374C8×D4C22×C15111yescharacteristic, complemented
375#417—21no—
376C2×#102—21no—
377C2×#102—21no—
378#335C22×C15111yescharacteristic, complemented
379#334C22×C15111yescharacteristic, complemented
380#332C22×C15111yescharacteristic, complemented
381#332C22×C15111yescharacteristic, complemented
382#332C22×C15111yescharacteristic, complemented
383#331C22×C15111yescharacteristic
384D4⋊C8C22×C15111yescharacteristic
385D4⋊C8C22×C15111yescharacteristic
386D4⋊C8C22×C15111yescharacteristic, complemented
387D4⋊C8C22×C15111yescharacteristic, complemented
388#322C22×C15111yescharacteristic, complemented
389C2×#41—21no—
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394#135—44no—
395C2×Q16—21no—
396C2×Q16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×D8D4×C15111yescharacteristic
403C2×D8D4×C15111yescharacteristic
404C2×M16—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C4⋊Q8C23×C15111yescharacteristic
409C4⋊Q8C23×C15111yescharacteristic
410C4⋊Q8C23×C15111yescharacteristic
411#127C23×C15111yescharacteristic
412#123—41no—
413#123—41no—
414#123—41no—
415C22⋊Q8—21no—
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421#121—21no—
422#121—21no—
423#120—41no—
424C4×D4C23×C15111yescharacteristic
425C4×D4C23×C15111yescharacteristic
426C4×D4C23×C15111yescharacteristic
427C4×D4C23×C15111yescharacteristic
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107D4×C15111yescharacteristic
435#107D4×C15111yescharacteristic
436#106—41no—
437C4⋊C8C23×C15111yescharacteristic
438C4⋊C8C23×C15111yescharacteristic
439C4⋊C8C23×C15111yescharacteristic
440C4⋊C8C23×C15111yescharacteristic
441#103—21no—
442#103—21no—
443#103—21no—
444#103—21no—
445#103—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
459#102D4×C15111yescharacteristic
460C22⋊C8—21no—
461C22⋊C8—21no—
462C22⋊C8—21no—
463C22⋊C8—21no—
464C4×C8C23×C15111yescharacteristic
465C4×C8C23×C15111yescharacteristic
466C4×C8C23×C15111yescharacteristic
467C24—41no—
468#41—42no—
469#41—42no—
470#41—42no—
471#41—81no—
472#41—81no—
473#41—81no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C15111yescharacteristic
490C2×D4C2×D4×C15111yescharacteristic
491C2×D4C2×D4×C15111yescharacteristic
492C2×D4C2×D4×C15111yescharacteristic
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500Q16—42no—
501Q16—81no—
502SD16—42no—
503SD16—42no—
504SD16—81no—
505D8—22no—
506D8—22no—
507D8—81no—
508D8—81no—
509M16—81no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—42no—
516C2×C8—81no—
517C2×C8—81no—
518C2×C8C2×D4×C15111yescharacteristic
519C2×C8C2×D4×C15111yescharacteristic
520C2×C8C2×D4×C15111yescharacteristic
521C2×C8C2×D4×C15111yescharacteristic
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4C2×D4×C15111yescharacteristic
532C4⋊C4C2×D4×C15111yescharacteristic
533C4⋊C4C2×D4×C15111yescharacteristic
534C4⋊C4C2×D4×C15111yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42C24×C15111yescharacteristic
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—41no—
549C23—82no—
550C23—82no—
551C23—161no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4#135×C15112yescomplemented
575D4AGL(1,ℤ/8)×C15112yes—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—41no—
581C2×C4—41no—
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—41no—
591C2×C4—82no—
592C2×C4—82no—
593C2×C4—82no—
594C2×C4C22×D4×C15111yescharacteristic
595C2×C4C22×D4×C15111yescharacteristic
596C2×C4H(5,𝔽2)×C15111yescharacteristic
597C8—21no—
598C8—21no—
599C8—21no—
600C8—21no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—22no—
607C22—22no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—164no—
622C22D42×C15111yescharacteristic
623C4—21no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—41no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×#135×C15111yescharacteristic
632C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
633C4#576×C15111yescharacteristic
634C4#576×C15111yescharacteristic
635C2—42no—
636C2—42no—
637C2—81no—
638C2—81no—
639C2—161no—
640C2#3264×C15111yescharacteristic
641C2#3280×C15111yescharacteristic
642C2#3289×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutator, Frattini, cosocleC42C24×C151
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. #3330×C151C2semidirect
2. #3294×C151C2semidirect
3. #3294×C151C2semidirect
4. #3283×C151C2semidirect
5. #1720×C151C2semidirect
6. #1701×C151C2semidirect
7. #1681×C151C2semidirect
8. #1679×C151C2semidirect
9. #1669×C151C2semidirect
10. #1654×C151C2semidirect
11. #1654×C151C2semidirect
12. #1639×C151C2semidirect
13. #1625×C151C2semidirect
14. #1581×C151C2semidirect
15. #1580×C151C2semidirect
19. #547×C151C22semidirect
21. #498×C151C22semidirect
22. #494×C151C22semidirect
23. #487×C151C22semidirect
38. #461×C151C22semidirect
39. #461×C151C22semidirect
49. #436×C151C22semidirect
52. C8×D4×C151C22semidirect
56. #335×C151C22semidirect
57. #334×C151C22semidirect
58. #332×C151C22semidirect
59. #332×C151C22semidirect
60. #332×C151C22semidirect
64. D4⋊C8×C151C22semidirect
65. D4⋊C8×C151C22semidirect
66. #322×C151C22semidirect
252. D4×C151#135semidirect
321. #19772C151direct (N × H)
322. C151#19772direct (N × H)
323. #3330C2×C151semidirect
324. #3294C2×C151semidirect
325. #3294C2×C151semidirect
326. #3283C2×C151semidirect
327. #1720C2×C151semidirect
328. #1701C2×C151semidirect
329. #1681C2×C151semidirect
330. #1679C2×C151semidirect
331. #1669C2×C151semidirect
332. #1654C2×C151semidirect
333. #1654C2×C151semidirect
334. #1639C2×C151semidirect
335. #1625C2×C151semidirect
336. #1581C2×C151semidirect
337. #1580C2×C151semidirect
341. #547C22×C151semidirect
343. #498C22×C151semidirect
344. #494C22×C151semidirect
345. #487C22×C151semidirect
360. #461C22×C151semidirect
361. #461C22×C151semidirect
371. #436C22×C151semidirect
374. C8×D4C22×C151semidirect
378. #335C22×C151semidirect
379. #334C22×C151semidirect
380. #332C22×C151semidirect
381. #332C22×C151semidirect
382. #332C22×C151semidirect
386. D4⋊C8C22×C151semidirect
387. D4⋊C8C22×C151semidirect
388. #322C22×C151semidirect
574. D4#135×C151semidirect

Maximal subgroups

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

subgroupindex
#3330×C1512
#3294×C1512
#3283×C1512
#1720×C1512
#1701×C1512
#1681×C1512
#1679×C1512
#1669×C1512
#1654×C1512
#1639×C1512
#1625×C1512
#1581×C1512
#1580×C1512
#19772151