Finite Group Databasebeta

← C151×#18537 #50323462

Subgroups — C151×#18537 #50323462

Order 38656.

1038 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3482×C151C211yesmaximal, characteristic, complemented
2#3138×C151C211yesmaximal, characteristic, complemented
3#3038×C151C211yesmaximal, characteristic, complemented
4#3038×C151C211yesmaximal, characteristic, complemented
5#1628×C151C212yesmaximal, complemented
6#1627×C151C212yesmaximal, complemented
7#1626×C151C212yesmaximal, complemented
8#1625×C151C212yesmaximal, complemented
9#1561×C151C211yesmaximal, characteristic, complemented
10#1489×C151C211yesmaximal, characteristic, complemented
11#1489×C151C211yesmaximal, characteristic, complemented
12C2×AGL(1,ℤ/8)×C151—21no—
13C2×AGL(1,ℤ/8)×C151—21no—
14#557×C151C2211yescharacteristic, complemented
15#556×C151—21no—
16#556×C151C2211yescharacteristic, complemented
17#552×C151—22no—
18#552×C151—21no—
19D4×Q8×C151C2211yescharacteristic, complemented
20#548×C151—21no—
21#547×C151—21no—
22#547×C151C2211yescharacteristic, complemented
23#533×C151—21no—
24#533×C151C2211yescharacteristic
25C2×#127×C151C2211yescharacteristic
26#529×C151—21no—
27#529×C151—22no—
28C4×#41×C151—21no—
29C4×#41×C151C2211yescharacteristic
30C4×#41×C151C2211yescharacteristic
31C2×C4×Q8×C151—21no—
32#490×C151—22no—
33#486×C151C2212yes—
34#486×C151C2212yes—
35#460×C151—21no—
36#460×C151—21no—
37#460×C151C2212yes—
38#460×C151C2212yes—
39#459×C151—21no—
40#459×C151—21no—
41#459×C151C2212yes—
42#459×C151C2212yes—
43#423×C151C2211yescharacteristic
44#423×C151C2211yescharacteristic
45#418×C151—22no—
46#418×C151—21no—
47#418×C151—21no—
48C4×M16×C151C2211yescharacteristic
49#332×C151C2212yescomplemented
50#332×C151C2212yescomplemented
51Q8⋊C8×C151C2212yescomplemented
52Q8⋊C8×C151C2212yescomplemented
53D4⋊C8×C151C2212yescomplemented
54D4⋊C8×C151C2212yescomplemented
55C2×#41×C151—21no—
56C2×#41×C151D411yescharacteristic
57C2×#41×C151D411yescharacteristic
58C22×Q8×C151—21no—
59C22×D4×C151—21no—
60C22×D4×C151—21no—
61C22×D4×C151—21no—
62AGL(1,ℤ/8)×C151—44no—
63AGL(1,ℤ/8)×C151—44no—
64C2×SD16×C151—22no—
65C2×SD16×C151—22no—
66C2×D8×C151—22no—
67C2×D8×C151—22no—
68C2×M16×C151—21no—
69C2×M16×C151—21no—
70C2×M16×C151—21no—
71C4⋊Q8×C151—21no—
72C4⋊Q8×C151—21no—
73C4⋊Q8×C151C2311yescharacteristic
74C4⋊Q8×C151C2311yescharacteristic
75#127×C151—21no—
76#127×C151—21no—
77#127×C151—21no—
78#127×C151C2312yes—
79#126×C151—22no—
80#126×C151—22no—
81#126×C151—22no—
82#125×C151—22no—
83#125×C151—22no—
84#125×C151—21no—
85#125×C151D412yes—
86#124×C151—22no—
87#124×C151—21no—
88#123×C151—22no—
89#123×C151—22no—
90#123×C151—22no—
91C22⋊Q8×C151—22no—
92C22⋊Q8×C151—21no—
93C22⋊Q8×C151—21no—
94C22⋊Q8×C151—22no—
95C22⋊Q8×C151—21no—
96C22⋊Q8×C151—21no—
97C22⋊Q8×C151—21no—
98#121×C151—22no—
99#121×C151—21no—
100C4×Q8×C151—22no—
101C4×Q8×C151—22no—
102C4×Q8×C151—21no—
103C4×Q8×C151—21no—
104C4×Q8×C151—21no—
105C4×Q8×C151—21no—
106C4×Q8×C151—21no—
107C4×Q8×C151D411yescharacteristic
108C4×Q8×C151D411yescharacteristic
109C4×Q8×C151C2311yescharacteristic
110C4×Q8×C151C2311yescharacteristic
111C4×D4×C151—22no—
112C4×D4×C151—22no—
113C4×D4×C151—21no—
114C4×D4×C151—21no—
115C4×D4×C151—21no—
116C4×D4×C151—21no—
117C4×D4×C151—21no—
118C4×D4×C151D411yescharacteristic
119C4×D4×C151D411yescharacteristic
120C4×D4×C151C2311yescharacteristic
121C4×D4×C151C2311yescharacteristic
122#117×C151—22no—
123#117×C151—22no—
124#117×C151—21no—
125#117×C151—21no—
126#117×C151—21no—
127#117×C151D411yescharacteristic
128#117×C151D411yescharacteristic
129#117×C151D412yes—
130C2×C4⋊C4×C151—22no—
131C2×C4⋊C4×C151—21no—
132C2×C42×C151—22no—
133C2×C42×C151—21no—
134C2×C42×C151—21no—
135C2×C42×C151C2311yescharacteristic
136C4⋊C8×C151—21no—
137C4⋊C8×C151—21no—
138C4⋊C8×C151C2312yes—
139C4⋊C8×C151C2312yes—
140#102×C151—22no—
141#102×C151—22no—
142#102×C151—22no—
143#102×C151—22no—
144#102×C151—24no—
145#102×C151—24no—
146#97×C151—21no—
147C4×C8×C151C2312yes—
148C24×C151—41no—
149#41×C151—22no—
150#41×C151—22no—
151#41×C151—41no—
152#41×C151—41no—
153#41×C151—42no—
154#41×C151—42no—
155C2×Q8×C151—22no—
156C2×Q8×C151—21no—
157C2×Q8×C151—21no—
158C2×Q8×C151—42no—
159C2×Q8×C151—42no—
160C2×Q8×C151C2×D411yescharacteristic
161C2×Q8×C151C2×D411yescharacteristic
162C2×D4×C151—22no—
163C2×D4×C151—21no—
164C2×D4×C151—21no—
165C2×D4×C151—22no—
166C2×D4×C151—22no—
167C2×D4×C151—22no—
168C2×D4×C151—42no—
169C2×D4×C151—42no—
170C2×D4×C151—42no—
171C2×D4×C151—42no—
172C2×D4×C151—44no—
173C2×D4×C151—41no—
174C2×D4×C151—41no—
175C2×D4×C151—41no—
176C2×D4×C151C2×D411yescharacteristic
177C2×D4×C151C2×D411yescharacteristic
178C22×C4×C151—22no—
179C22×C4×C151—22no—
180C22×C4×C151—21no—
181C22×C4×C151—21no—
182C22×C4×C151—21no—
183C22×C4×C151—21no—
184C22×C4×C151—21no—
185C22×C4×C151—21no—
186C22×C4×C151C2×D411yescharacteristic
187C22×C4×C151C2×D411yescharacteristic
188C22×C4×C151C2×D411yescharacteristic
189SD16×C151—44no—
190SD16×C151—44no—
191D8×C151—44no—
192D8×C151—44no—
193M16×C151—42no—
194M16×C151—42no—
195M16×C151—42no—
196C2×C8×C151—22no—
197C2×C8×C151—22no—
198C2×C8×C151—22no—
199C4⋊C4×C151—22no—
200C4⋊C4×C151—22no—
201C4⋊C4×C151—22no—
202C4⋊C4×C151—22no—
203C4⋊C4×C151—22no—
204C4⋊C4×C151—22no—
205C4⋊C4×C151—21no—
206C4⋊C4×C151—22no—
207C4⋊C4×C151—22no—
208C4⋊C4×C151—21no—
209C4⋊C4×C151—21no—
210C4⋊C4×C151—21no—
211C4⋊C4×C151—21no—
212C4⋊C4×C151—21no—
213C4⋊C4×C151C2×D411yescharacteristic
214C4⋊C4×C151C2×D411yescharacteristic
215C4⋊C4×C151C2×D411yescharacteristic
216C4⋊C4×C151C2×D411yescharacteristic
217C4⋊C4×C151C2×D412yes—
218C4⋊C4×C151C2×D412yes—
219C22⋊C4×C151—22no—
220C22⋊C4×C151—22no—
221C22⋊C4×C151—22no—
222C22⋊C4×C151—22no—
223C22⋊C4×C151—21no—
224C22⋊C4×C151—21no—
225C22⋊C4×C151—22no—
226C22⋊C4×C151—21no—
227C22⋊C4×C151—21no—
228C22⋊C4×C151—21no—
229C22⋊C4×C151—21no—
230C42×C151—22no—
231C42×C151—22no—
232C42×C151—21no—
233C42×C151—21no—
234C42×C151—21no—
235C42×C151—22no—
236C42×C151—21no—
237C42×C151—21no—
238C42×C151—21no—
239C42×C151C2×D411yescharacteristic
240C42×C151C2×D411yescharacteristic
241C42×C151C2×D411yescharacteristic
242C42×C151C2411yescharacteristic
243C23×C151—21no—
244C23×C151—21no—
245C23×C151—42no—
246C23×C151—82no—
247C23×C151—82no—
248C23×C151—82no—
249C23×C151#12011yescharacteristic
250Q8×C151—21no—
251Q8×C151—21no—
252Q8×C151—21no—
253Q8×C151—44no—
254Q8×C151—41no—
255Q8×C151—41no—
256Q8×C151—41no—
257Q8×C151—41no—
258Q8×C151AGL(1,ℤ/8)12yescomplemented
259D4×C151—21no—
260D4×C151—21no—
261D4×C151—21no—
262D4×C151—42no—
263D4×C151—44no—
264D4×C151—42no—
265D4×C151—44no—
266D4×C151—42no—
267D4×C151—42no—
268D4×C151—42no—
269D4×C151—42no—
270D4×C151—82no—
271D4×C151—82no—
272D4×C151—82no—
273D4×C151AGL(1,ℤ/8)12yescomplemented
274C2×C4×C151—21no—
275C2×C4×C151—21no—
276C2×C4×C151—21no—
277C2×C4×C151—21no—
278C2×C4×C151—21no—
279C2×C4×C151—22no—
280C2×C4×C151—21no—
281C2×C4×C151—22no—
282C2×C4×C151—22no—
283C2×C4×C151—21no—
284C2×C4×C151—21no—
285C2×C4×C151—21no—
286C2×C4×C151—21no—
287C2×C4×C151—42no—
288C2×C4×C151—42no—
289C2×C4×C151—44no—
290C2×C4×C151—44no—
291C2×C4×C151—41no—
292C2×C4×C151—41no—
293C2×C4×C151—41no—
294C2×C4×C151—41no—
295C2×C4×C151—42no—
296C2×C4×C151—42no—
297C2×C4×C151#12011yescharacteristic
298C2×C4×C151#12011yescharacteristic
299C2×C4×C151#12011yescharacteristic
300C2×C4×C151C22×D411yescharacteristic
301C2×C4×C151C22×D411yescharacteristic
302C2×C4×C151C22×D411yescharacteristic
303C8×C151—42no—
304C8×C151—42no—
305C8×C151—42no—
306C22×C151—21no—
307C22×C151—21no—
308C22×C151—22no—
309C22×C151—21no—
310C22×C151—41no—
311C22×C151—41no—
312C22×C151—41no—
313C22×C151—41no—
314C22×C151—41no—
315C22×C151—82no—
316C22×C151—82no—
317C22×C151—82no—
318C22×C151—164no—
319C22×C151C2×#12011yescharacteristic
320C4×C151—21no—
321C4×C151—21no—
322C4×C151—22no—
323C4×C151—21no—
324C4×C151—41no—
325C4×C151—41no—
326C4×C151—42no—
327C4×C151—42no—
328C4×C151—41no—
329C4×C151—41no—
330C4×C151—41no—
331C4×C151#45412yes—
332C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
333C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
334C4×C151#57511yescharacteristic
335C4×C151#57511yescharacteristic
336C2×C151—41no—
337C2×C151—42no—
338C2×C151—81no—
339C2×C151—162no—
340C2×C151#300611yescharacteristic
341C2×C151#300611yescharacteristic
342C2×C151C2×#45411yescharacteristic
343#18537C15111yesmaximal, characteristic, direct product factor, Sylow
344C151#1853711yescharacteristic, direct product factor, Sylow
345#3482C2×C15111yescharacteristic, complemented
346#3138C2×C15111yescharacteristic, complemented
347#3038C2×C15111yescharacteristic, complemented
348#3038C2×C15111yescharacteristic, complemented
349#1628C2×C15112yescomplemented
350#1627C2×C15112yescomplemented
351#1626C2×C15112yescomplemented
352#1625C2×C15112yescomplemented
353#1561C2×C15111yescharacteristic, complemented
354#1489C2×C15111yescharacteristic, complemented
355#1489C2×C15111yescharacteristic, complemented
356C2×AGL(1,ℤ/8)—21no—
357C2×AGL(1,ℤ/8)—21no—
358#557C22×C15111yescharacteristic, complemented
359#556—21no—
360#556C22×C15111yescharacteristic, complemented
361#552—22no—
362#552—21no—
363D4×Q8C22×C15111yescharacteristic, complemented
364#548—21no—
365#547—21no—
366#547C22×C15111yescharacteristic, complemented
367#533—21no—
368#533C22×C15111yescharacteristic
369C2×#127C22×C15111yescharacteristic
370#529—21no—
371#529—22no—
372C4×#41—21no—
373C4×#41C22×C15111yescharacteristic
374C4×#41C22×C15111yescharacteristic
375C2×C4×Q8—21no—
376#490—22no—
377#486C22×C15112yes—
378#486C22×C15112yes—
379#460—21no—
380#460—21no—
381#460C22×C15112yes—
382#460C22×C15112yes—
383#459—21no—
384#459—21no—
385#459C22×C15112yes—
386#459C22×C15112yes—
387#423C22×C15111yescharacteristic
388#423C22×C15111yescharacteristic
389#418—22no—
390#418—21no—
391#418—21no—
392C4×M16C22×C15111yescharacteristic
393#332C22×C15112yescomplemented
394#332C22×C15112yescomplemented
395Q8⋊C8C22×C15112yescomplemented
396Q8⋊C8C22×C15112yescomplemented
397D4⋊C8C22×C15112yescomplemented
398D4⋊C8C22×C15112yescomplemented
399C2×#41—21no—
400C2×#41D4×C15111yescharacteristic
401C2×#41D4×C15111yescharacteristic
402C22×Q8—21no—
403C22×D4—21no—
404C22×D4—21no—
405C22×D4—21no—
406AGL(1,ℤ/8)—44no—
407AGL(1,ℤ/8)—44no—
408C2×SD16—22no—
409C2×SD16—22no—
410C2×D8—22no—
411C2×D8—22no—
412C2×M16—21no—
413C2×M16—21no—
414C2×M16—21no—
415C4⋊Q8—21no—
416C4⋊Q8—21no—
417C4⋊Q8C23×C15111yescharacteristic
418C4⋊Q8C23×C15111yescharacteristic
419#127—21no—
420#127—21no—
421#127—21no—
422#127C23×C15112yes—
423#126—22no—
424#126—22no—
425#126—22no—
426#125—22no—
427#125—22no—
428#125—21no—
429#125D4×C15112yes—
430#124—22no—
431#124—21no—
432#123—22no—
433#123—22no—
434#123—22no—
435C22⋊Q8—22no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—22no—
441C22⋊Q8—21no—
442#121—22no—
443#121—21no—
444C4×Q8—22no—
445C4×Q8—22no—
446C4×Q8—21no—
447C4×Q8—21no—
448C4×Q8—21no—
449C4×Q8—21no—
450C4×Q8—21no—
451C4×Q8D4×C15111yescharacteristic
452C4×Q8D4×C15111yescharacteristic
453C4×Q8C23×C15111yescharacteristic
454C4×Q8C23×C15111yescharacteristic
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—21no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4D4×C15111yescharacteristic
463C4×D4D4×C15111yescharacteristic
464C4×D4C23×C15111yescharacteristic
465C4×D4C23×C15111yescharacteristic
466#117—22no—
467#117—22no—
468#117—21no—
469#117—21no—
470#117—21no—
471#117D4×C15111yescharacteristic
472#117D4×C15111yescharacteristic
473#117D4×C15112yes—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—21no—
476C2×C42—22no—
477C2×C42—21no—
478C2×C42—21no—
479C2×C42C23×C15111yescharacteristic
480C4⋊C8—21no—
481C4⋊C8—21no—
482C4⋊C8C23×C15112yes—
483C4⋊C8C23×C15112yes—
484#102—22no—
485#102—22no—
486#102—22no—
487#102—22no—
488#102—24no—
489#102—24no—
490#97—21no—
491C4×C8C23×C15112yes—
492C24—41no—
493#41—22no—
494#41—22no—
495#41—41no—
496#41—41no—
497#41—42no—
498#41—42no—
499C2×Q8—22no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—42no—
503C2×Q8—42no—
504C2×Q8C2×D4×C15111yescharacteristic
505C2×Q8C2×D4×C15111yescharacteristic
506C2×D4—22no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—44no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4C2×D4×C15111yescharacteristic
521C2×D4C2×D4×C15111yescharacteristic
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4C2×D4×C15111yescharacteristic
531C22×C4C2×D4×C15111yescharacteristic
532C22×C4C2×D4×C15111yescharacteristic
533SD16—44no—
534SD16—44no—
535D8—44no—
536D8—44no—
537M16—42no—
538M16—42no—
539M16—42no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4C2×D4×C15111yescharacteristic
558C4⋊C4C2×D4×C15111yescharacteristic
559C4⋊C4C2×D4×C15111yescharacteristic
560C4⋊C4C2×D4×C15111yescharacteristic
561C4⋊C4C2×D4×C15112yes—
562C4⋊C4C2×D4×C15112yes—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—22no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42C2×D4×C15111yescharacteristic
584C42C2×D4×C15111yescharacteristic
585C42C2×D4×C15111yescharacteristic
586C42C24×C15111yescharacteristic
587C23—21no—
588C23—21no—
589C23—42no—
590C23—82no—
591C23—82no—
592C23—82no—
593C23#120×C15111yescharacteristic
594Q8—21no—
595Q8—21no—
596Q8—21no—
597Q8—44no—
598Q8—41no—
599Q8—41no—
600Q8—41no—
601Q8—41no—
602Q8AGL(1,ℤ/8)×C15112yescomplemented
603D4—21no—
604D4—21no—
605D4—21no—
606D4—42no—
607D4—44no—
608D4—42no—
609D4—44no—
610D4—42no—
611D4—42no—
612D4—42no—
613D4—42no—
614D4—82no—
615D4—82no—
616D4—82no—
617D4AGL(1,ℤ/8)×C15112yescomplemented
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4#120×C15111yescharacteristic
642C2×C4#120×C15111yescharacteristic
643C2×C4#120×C15111yescharacteristic
644C2×C4C22×D4×C15111yescharacteristic
645C2×C4C22×D4×C15111yescharacteristic
646C2×C4C22×D4×C15111yescharacteristic
647C8—42no—
648C8—42no—
649C8—42no—
650C22—21no—
651C22—21no—
652C22—22no—
653C22—21no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—82no—
660C22—82no—
661C22—82no—
662C22—164no—
663C22C2×#120×C15111yescharacteristic
664C4—21no—
665C4—21no—
666C4—22no—
667C4—21no—
668C4—41no—
669C4—41no—
670C4—42no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4#454×C15112yes—
676C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
677C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
678C4#575×C15111yescharacteristic
679C4#575×C15111yescharacteristic
680C2—41no—
681C2—42no—
682C2—81no—
683C2—162no—
684C2#3006×C15111yescharacteristic
685C2#3006×C15111yescharacteristic
686C2C2×#454×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC42C24×C151
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C2×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3482×C151C2semidirect
2. #3138×C151C2semidirect
3. #3038×C151C2semidirect
4. #3038×C151C2semidirect
5. #1628×C151C2semidirect
6. #1627×C151C2semidirect
7. #1626×C151C2semidirect
8. #1625×C151C2semidirect
9. #1561×C151C2semidirect
10. #1489×C151C2semidirect
11. #1489×C151C2semidirect
14. #557×C151C22semidirect
16. #556×C151C22semidirect
19. D4×Q8×C151C22semidirect
22. #547×C151C22semidirect
49. #332×C151C22semidirect
50. #332×C151C22semidirect
51. Q8⋊C8×C151C22semidirect
52. Q8⋊C8×C151C22semidirect
53. D4⋊C8×C151C22semidirect
54. D4⋊C8×C151C22semidirect
258. Q8×C151AGL(1,ℤ/8)semidirect
273. D4×C151AGL(1,ℤ/8)semidirect
343. #18537C151direct (N × H)
344. C151#18537direct (N × H)
345. #3482C2×C151semidirect
346. #3138C2×C151semidirect
347. #3038C2×C151semidirect
348. #3038C2×C151semidirect
349. #1628C2×C151semidirect
350. #1627C2×C151semidirect
351. #1626C2×C151semidirect
352. #1625C2×C151semidirect
353. #1561C2×C151semidirect
354. #1489C2×C151semidirect
355. #1489C2×C151semidirect
358. #557C22×C151semidirect
360. #556C22×C151semidirect
363. D4×Q8C22×C151semidirect
366. #547C22×C151semidirect
393. #332C22×C151semidirect
394. #332C22×C151semidirect
395. Q8⋊C8C22×C151semidirect
396. Q8⋊C8C22×C151semidirect
397. D4⋊C8C22×C151semidirect
398. D4⋊C8C22×C151semidirect
602. Q8AGL(1,ℤ/8)×C151semidirect
617. D4AGL(1,ℤ/8)×C151semidirect

Maximal subgroups

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

subgroupindex
#3482×C1512
#3138×C1512
#3038×C1512
#1628×C1512
#1627×C1512
#1626×C1512
#1625×C1512
#1561×C1512
#1489×C1512
#18537151