Finite Group Databasebeta

← C151×#18014 #50322939

Subgroups — C151×#18014 #50322939

Order 38656.

650 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3105×C151C211yesmaximal, characteristic
2#2994×C151C211yesmaximal, characteristic, complemented
3#2974×C151C211yesmaximal, characteristic, complemented
4#1590×C151C211yesmaximal, characteristic, complemented
5#1589×C151C211yesmaximal, characteristic, complemented
6#1588×C151C211yesmaximal, characteristic, complemented
7#1586×C151C211yesmaximal, characteristic, complemented
8#1586×C151C211yesmaximal, characteristic, complemented
9#1585×C151C211yesmaximal, characteristic, complemented
10C8×SD16×C151C211yesmaximal, characteristic, complemented
11C8×D8×C151C211yesmaximal, characteristic, complemented
12#1573×C151C211yesmaximal, characteristic, complemented
13#1494×C151C211yesmaximal, characteristic, complemented
14C2×D4⋊C8×C151C211yesmaximal, characteristic, complemented
15#1450×C151C211yesmaximal, characteristic, complemented
16#529×C151C2211yescharacteristic
17C2×C4×D4×C151C2211yescharacteristic
18#484×C151C411yescharacteristic
19#481×C151C411yescharacteristic
20#478×C151C411yescharacteristic
21#478×C151C411yescharacteristic
22#463×C151C411yescharacteristic
23#463×C151C411yescharacteristic
24#450×C151C411yescharacteristic
25#447×C151C411yescharacteristic
26#446×C151C2211yescharacteristic, complemented
27C8×Q8×C151C2211yescharacteristic, complemented
28C4×SD16×C151C2211yescharacteristic
29C4×SD16×C151C2211yescharacteristic
30C4×D8×C151C2211yescharacteristic
31C4×D8×C151C2211yescharacteristic
32#436×C151C2211yescharacteristic
33#436×C151C2211yescharacteristic
34#436×C151C2211yescharacteristic, complemented
35#435×C151—21no—
36#435×C151—21no—
37#435×C151—21no—
38C8×D4×C151—21no—
39C8×D4×C151C2211yescharacteristic
40C8×D4×C151C2211yescharacteristic
41C8×D4×C151C2211yescharacteristic, complemented
42#433×C151—21no—
43#432×C151C2211yescharacteristic
44#431×C151C2211yescharacteristic
45#431×C151C2211yescharacteristic
46#424×C151—21no—
47C2×C4⋊C8×C151C2211yescharacteristic
48#407×C151—21no—
49C2×C22⋊C8×C151—21no—
50C2×C4×C8×C151C2211yescharacteristic
51#335×C151C2211yescharacteristic, complemented
52#335×C151C2211yescharacteristic, complemented
53#334×C151C2211yescharacteristic, complemented
54#334×C151C2211yescharacteristic, complemented
55Q8⋊C8×C151C2211yescharacteristic, complemented
56Q8⋊C8×C151C2211yescharacteristic, complemented
57D4⋊C8×C151C2211yescharacteristic
58D4⋊C8×C151C2211yescharacteristic
59D4⋊C8×C151C2211yescharacteristic
60D4⋊C8×C151C2211yescharacteristic
61D4⋊C8×C151C2211yescharacteristic, complemented
62D4⋊C8×C151C2211yescharacteristic, complemented
63#322×C151C2211yescharacteristic, complemented
64#322×C151C2211yescharacteristic, complemented
65C82×C151C2211yescharacteristic, complemented
66C82×C151C2211yescharacteristic, complemented
67C22×D4×C151C2×C411yescharacteristic
68C23×C4×C151—21no—
69C2×SD16×C151C2×C411yescharacteristic
70C2×SD16×C151C2×C411yescharacteristic
71C2×D8×C151C2×C411yescharacteristic
72C2×D8×C151C2×C411yescharacteristic
73C2×M16×C151—21no—
74C2×M16×C151—21no—
75C2×M16×C151—21no—
76C22×C8×C151—21no—
77C22×C8×C151—21no—
78C22×C8×C151—21no—
79C22×C8×C151—21no—
80C22×C8×C151—21no—
81#126×C151—21no—
82#125×C151C2×C411yescharacteristic
83#124×C151C2×C411yescharacteristic
84#123×C151—21no—
85C22⋊Q8×C151C2×C411yescharacteristic
86#121×C151C2×C411yescharacteristic
87C4×Q8×C151C2311yescharacteristic
88C4×D4×C151—21no—
89C4×D4×C151—21no—
90C4×D4×C151—21no—
91C4×D4×C151C2×C411yescharacteristic
92C4×D4×C151C2×C411yescharacteristic
93C4×D4×C151C2311yescharacteristic
94C4×D4×C151C2311yescharacteristic
95C4×D4×C151C2311yescharacteristic
96#117×C151—21no—
97C2×C4⋊C4×C151C2×C411yescharacteristic
98C2×C22⋊C4×C151—21no—
99C2×C42×C151C2311yescharacteristic
100#107×C151C2×C411yescharacteristic
101#107×C151C2×C411yescharacteristic
102#106×C151C2×C411yescharacteristic
103#106×C151C2×C411yescharacteristic
104C4⋊C8×C151—21no—
105C4⋊C8×C151—21no—
106C4⋊C8×C151—21no—
107C4⋊C8×C151C2×C411yescharacteristic
108C4⋊C8×C151C2×C411yescharacteristic
109C4⋊C8×C151D411yescharacteristic
110C4⋊C8×C151D411yescharacteristic
111C4⋊C8×C151C2311yescharacteristic
112C4⋊C8×C151C2311yescharacteristic
113C4⋊C8×C151C2311yescharacteristic
114C4⋊C8×C151C2311yescharacteristic
115#103×C151C2×C411yescharacteristic
116#103×C151C2×C411yescharacteristic
117#102×C151C2×C411yescharacteristic
118#102×C151C2×C411yescharacteristic
119#102×C151C2×C411yescharacteristic
120#102×C151C2×C411yescharacteristic
121#102×C151C2×C411yescharacteristic
122#102×C151C2×C411yescharacteristic
123C22⋊C8×C151—21no—
124C22⋊C8×C151—21no—
125C22⋊C8×C151—21no—
126C22⋊C8×C151—21no—
127C22⋊C8×C151—21no—
128C22⋊C8×C151—21no—
129C22⋊C8×C151—21no—
130C22⋊C8×C151C2×C411yescharacteristic
131C22⋊C8×C151C2×C411yescharacteristic
132C22⋊C8×C151D411yescharacteristic
133C22⋊C8×C151D411yescharacteristic
134#97×C151—21no—
135#97×C151—21no—
136C4×C8×C151—21no—
137C4×C8×C151—21no—
138C4×C8×C151C2311yescharacteristic
139C4×C8×C151C2311yescharacteristic
140C4×C8×C151C2311yescharacteristic
141C4×C8×C151C2311yescharacteristic
142C4×C8×C151C2311yescharacteristic
143C4×C8×C151C2311yescharacteristic
144C24×C151—21no—
145C2×Q8×C151C22×C411yescharacteristic
146C2×D4×C151—22no—
147C2×D4×C151—21no—
148C2×D4×C151—21no—
149C2×D4×C151—41no—
150C2×D4×C151C22×C411yescharacteristic
151C2×D4×C151C22×C411yescharacteristic
152C2×D4×C151C22×C411yescharacteristic
153C22×C4×C151—21no—
154C22×C4×C151—21no—
155C22×C4×C151—21no—
156C22×C4×C151—21no—
157C22×C4×C151—21no—
158C22×C4×C151—21no—
159C22×C4×C151—81no—
160C22×C4×C151—81no—
161C22×C4×C151C22×C411yescharacteristic
162C22×C4×C151C2×D411yescharacteristic
163C22×C4×C151#4111yescharacteristic
164SD16×C151—22no—
165SD16×C151—41no—
166D8×C151—22no—
167D8×C151—41no—
168M16×C151—81no—
169M16×C151—81no—
170M16×C151—81no—
171C2×C8×C151—24no—
172C2×C8×C151—21no—
173C2×C8×C151—21no—
174C2×C8×C151—21no—
175C2×C8×C151—21no—
176C2×C8×C151—21no—
177C2×C8×C151—21no—
178C2×C8×C151—81no—
179C2×C8×C151—81no—
180C2×C8×C151—81no—
181C2×C8×C151—81no—
182C2×C8×C151C22×C411yescharacteristic
183C2×C8×C151C22×C411yescharacteristic
184C2×C8×C151C22×C411yescharacteristic
185C2×C8×C151C22×C411yescharacteristic
186C2×C8×C151C2×D411yescharacteristic
187C2×C8×C151C2×D411yescharacteristic
188C2×C8×C151C2×D411yescharacteristic
189C2×C8×C151C2×D411yescharacteristic
190C4⋊C4×C151—21no—
191C4⋊C4×C151—21no—
192C4⋊C4×C151—21no—
193C4⋊C4×C151—21no—
194C4⋊C4×C151—21no—
195C4⋊C4×C151C22×C411yescharacteristic
196C4⋊C4×C151C22×C411yescharacteristic
197C4⋊C4×C151C22×C411yescharacteristic
198C4⋊C4×C151C22×C411yescharacteristic
199C22⋊C4×C151—21no—
200C22⋊C4×C151—21no—
201C22⋊C4×C151—21no—
202C22⋊C4×C151—21no—
203C22⋊C4×C151—21no—
204C22⋊C4×C151—21no—
205C22⋊C4×C151—21no—
206C22⋊C4×C151—21no—
207C22⋊C4×C151—21no—
208C42×C151—21no—
209C42×C151C22×C411yescharacteristic
210C42×C151C2×D411yescharacteristic
211C42×C151#4111yescharacteristic
212C42×C151C2411yescharacteristic
213C23×C151—21no—
214C23×C151—21no—
215C23×C151—21no—
216C23×C151—42no—
217C23×C151—42no—
218C23×C151—81no—
219C23×C151C4×D411yescharacteristic
220Q8×C151—21no—
221Q8×C151—21no—
222D4×C151—21no—
223D4×C151—21no—
224D4×C151—21no—
225D4×C151—21no—
226D4×C151—21no—
227D4×C151—42no—
228D4×C151—42no—
229D4×C151#13112yes—
230C2×C4×C151—22no—
231C2×C4×C151—21no—
232C2×C4×C151—21no—
233C2×C4×C151—21no—
234C2×C4×C151—21no—
235C2×C4×C151—21no—
236C2×C4×C151—21no—
237C2×C4×C151—21no—
238C2×C4×C151—21no—
239C2×C4×C151—21no—
240C2×C4×C151—41no—
241C2×C4×C151—41no—
242C2×C4×C151—41no—
243C2×C4×C151—41no—
244C2×C4×C151—41no—
245C2×C4×C151—41no—
246C2×C4×C151—81no—
247C2×C4×C151—81no—
248C2×C4×C151—81no—
249C2×C4×C151C4×D411yescharacteristic
250C2×C4×C151C4×D411yescharacteristic
251C2×C4×C151C4×D411yescharacteristic
252C2×C4×C151C23×C411yescharacteristic
253C2×C4×C151C22×D411yescharacteristic
254C2×C4×C151C2×#4111yescharacteristic
255C8×C151—22no—
256C8×C151—22no—
257C8×C151—21no—
258C8×C151—21no—
259C8×C151—21no—
260C8×C151—21no—
261C8×C151—21no—
262C8×C151—21no—
263C8×C151—21no—
264C8×C151—21no—
265C8×C151—41no—
266C8×C151—41no—
267C8×C151—41no—
268C8×C151—41no—
269C22×C151—21no—
270C22×C151—21no—
271C22×C151—22no—
272C22×C151—41no—
273C22×C151—41no—
274C22×C151—41no—
275C22×C151—41no—
276C22×C151—41no—
277C22×C151—41no—
278C22×C151—41no—
279C22×C151—41no—
280C22×C151—84no—
281C22×C151#44312yes—
282C22×C151C2×C4×D411yescharacteristic
283C4×C151—21no—
284C4×C151—21no—
285C4×C151—21no—
286C4×C151—21no—
287C4×C151—41no—
288C4×C151—41no—
289C4×C151—41no—
290C4×C151—41no—
291C4×C151—41no—
292C4×C151C2×#13111yescharacteristic
293C4×C151#56811yescharacteristic
294C4×C151#57611yescharacteristic
295C4×C151#57711yescharacteristic
296C2×C151—22no—
297C2×C151—42no—
298C2×C151—81no—
299C2×C151—81no—
300C2×C151#293311yescharacteristic
301C2×C151#294611yescharacteristic
302C2×C151C2×#44311yescharacteristic
303#18014C15111yesmaximal, characteristic, direct product factor, Sylow
304C151#1801411yescharacteristic, direct product factor, Sylow
305#3105C2×C15111yescharacteristic
306#2994C2×C15111yescharacteristic, complemented
307#2974C2×C15111yescharacteristic, complemented
308#1590C2×C15111yescharacteristic, complemented
309#1589C2×C15111yescharacteristic, complemented
310#1588C2×C15111yescharacteristic, complemented
311#1586C2×C15111yescharacteristic, complemented
312#1586C2×C15111yescharacteristic, complemented
313#1585C2×C15111yescharacteristic, complemented
314C8×SD16C2×C15111yescharacteristic, complemented
315C8×D8C2×C15111yescharacteristic, complemented
316#1573C2×C15111yescharacteristic, complemented
317#1494C2×C15111yescharacteristic, complemented
318C2×D4⋊C8C2×C15111yescharacteristic, complemented
319#1450C2×C15111yescharacteristic, complemented
320#529C22×C15111yescharacteristic
321C2×C4×D4C22×C15111yescharacteristic
322#484C4×C15111yescharacteristic
323#481C4×C15111yescharacteristic
324#478C4×C15111yescharacteristic
325#478C4×C15111yescharacteristic
326#463C4×C15111yescharacteristic
327#463C4×C15111yescharacteristic
328#450C4×C15111yescharacteristic
329#447C4×C15111yescharacteristic
330#446C22×C15111yescharacteristic, complemented
331C8×Q8C22×C15111yescharacteristic, complemented
332C4×SD16C22×C15111yescharacteristic
333C4×SD16C22×C15111yescharacteristic
334C4×D8C22×C15111yescharacteristic
335C4×D8C22×C15111yescharacteristic
336#436C22×C15111yescharacteristic
337#436C22×C15111yescharacteristic
338#436C22×C15111yescharacteristic, complemented
339#435—21no—
340#435—21no—
341#435—21no—
342C8×D4—21no—
343C8×D4C22×C15111yescharacteristic
344C8×D4C22×C15111yescharacteristic
345C8×D4C22×C15111yescharacteristic, complemented
346#433—21no—
347#432C22×C15111yescharacteristic
348#431C22×C15111yescharacteristic
349#431C22×C15111yescharacteristic
350#424—21no—
351C2×C4⋊C8C22×C15111yescharacteristic
352#407—21no—
353C2×C22⋊C8—21no—
354C2×C4×C8C22×C15111yescharacteristic
355#335C22×C15111yescharacteristic, complemented
356#335C22×C15111yescharacteristic, complemented
357#334C22×C15111yescharacteristic, complemented
358#334C22×C15111yescharacteristic, complemented
359Q8⋊C8C22×C15111yescharacteristic, complemented
360Q8⋊C8C22×C15111yescharacteristic, complemented
361D4⋊C8C22×C15111yescharacteristic
362D4⋊C8C22×C15111yescharacteristic
363D4⋊C8C22×C15111yescharacteristic
364D4⋊C8C22×C15111yescharacteristic
365D4⋊C8C22×C15111yescharacteristic, complemented
366D4⋊C8C22×C15111yescharacteristic, complemented
367#322C22×C15111yescharacteristic, complemented
368#322C22×C15111yescharacteristic, complemented
369C82C22×C15111yescharacteristic, complemented
370C82C22×C15111yescharacteristic, complemented
371C22×D4C2×C4×C15111yescharacteristic
372C23×C4—21no—
373C2×SD16C2×C4×C15111yescharacteristic
374C2×SD16C2×C4×C15111yescharacteristic
375C2×D8C2×C4×C15111yescharacteristic
376C2×D8C2×C4×C15111yescharacteristic
377C2×M16—21no—
378C2×M16—21no—
379C2×M16—21no—
380C22×C8—21no—
381C22×C8—21no—
382C22×C8—21no—
383C22×C8—21no—
384C22×C8—21no—
385#126—21no—
386#125C2×C4×C15111yescharacteristic
387#124C2×C4×C15111yescharacteristic
388#123—21no—
389C22⋊Q8C2×C4×C15111yescharacteristic
390#121C2×C4×C15111yescharacteristic
391C4×Q8C23×C15111yescharacteristic
392C4×D4—21no—
393C4×D4—21no—
394C4×D4—21no—
395C4×D4C2×C4×C15111yescharacteristic
396C4×D4C2×C4×C15111yescharacteristic
397C4×D4C23×C15111yescharacteristic
398C4×D4C23×C15111yescharacteristic
399C4×D4C23×C15111yescharacteristic
400#117—21no—
401C2×C4⋊C4C2×C4×C15111yescharacteristic
402C2×C22⋊C4—21no—
403C2×C42C23×C15111yescharacteristic
404#107C2×C4×C15111yescharacteristic
405#107C2×C4×C15111yescharacteristic
406#106C2×C4×C15111yescharacteristic
407#106C2×C4×C15111yescharacteristic
408C4⋊C8—21no—
409C4⋊C8—21no—
410C4⋊C8—21no—
411C4⋊C8C2×C4×C15111yescharacteristic
412C4⋊C8C2×C4×C15111yescharacteristic
413C4⋊C8D4×C15111yescharacteristic
414C4⋊C8D4×C15111yescharacteristic
415C4⋊C8C23×C15111yescharacteristic
416C4⋊C8C23×C15111yescharacteristic
417C4⋊C8C23×C15111yescharacteristic
418C4⋊C8C23×C15111yescharacteristic
419#103C2×C4×C15111yescharacteristic
420#103C2×C4×C15111yescharacteristic
421#102C2×C4×C15111yescharacteristic
422#102C2×C4×C15111yescharacteristic
423#102C2×C4×C15111yescharacteristic
424#102C2×C4×C15111yescharacteristic
425#102C2×C4×C15111yescharacteristic
426#102C2×C4×C15111yescharacteristic
427C22⋊C8—21no—
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8—21no—
434C22⋊C8C2×C4×C15111yescharacteristic
435C22⋊C8C2×C4×C15111yescharacteristic
436C22⋊C8D4×C15111yescharacteristic
437C22⋊C8D4×C15111yescharacteristic
438#97—21no—
439#97—21no—
440C4×C8—21no—
441C4×C8—21no—
442C4×C8C23×C15111yescharacteristic
443C4×C8C23×C15111yescharacteristic
444C4×C8C23×C15111yescharacteristic
445C4×C8C23×C15111yescharacteristic
446C4×C8C23×C15111yescharacteristic
447C4×C8C23×C15111yescharacteristic
448C24—21no—
449C2×Q8C22×C4×C15111yescharacteristic
450C2×D4—22no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—41no—
454C2×D4C22×C4×C15111yescharacteristic
455C2×D4C22×C4×C15111yescharacteristic
456C2×D4C22×C4×C15111yescharacteristic
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—81no—
464C22×C4—81no—
465C22×C4C22×C4×C15111yescharacteristic
466C22×C4C2×D4×C15111yescharacteristic
467C22×C4#41×C15111yescharacteristic
468SD16—22no—
469SD16—41no—
470D8—22no—
471D8—41no—
472M16—81no—
473M16—81no—
474M16—81no—
475C2×C8—24no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—81no—
483C2×C8—81no—
484C2×C8—81no—
485C2×C8—81no—
486C2×C8C22×C4×C15111yescharacteristic
487C2×C8C22×C4×C15111yescharacteristic
488C2×C8C22×C4×C15111yescharacteristic
489C2×C8C22×C4×C15111yescharacteristic
490C2×C8C2×D4×C15111yescharacteristic
491C2×C8C2×D4×C15111yescharacteristic
492C2×C8C2×D4×C15111yescharacteristic
493C2×C8C2×D4×C15111yescharacteristic
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4C22×C4×C15111yescharacteristic
500C4⋊C4C22×C4×C15111yescharacteristic
501C4⋊C4C22×C4×C15111yescharacteristic
502C4⋊C4C22×C4×C15111yescharacteristic
503C22⋊C4—21no—
504C22⋊C4—21no—
505C22⋊C4—21no—
506C22⋊C4—21no—
507C22⋊C4—21no—
508C22⋊C4—21no—
509C22⋊C4—21no—
510C22⋊C4—21no—
511C22⋊C4—21no—
512C42—21no—
513C42C22×C4×C15111yescharacteristic
514C42C2×D4×C15111yescharacteristic
515C42#41×C15111yescharacteristic
516C42C24×C15111yescharacteristic
517C23—21no—
518C23—21no—
519C23—21no—
520C23—42no—
521C23—42no—
522C23—81no—
523C23C4×D4×C15111yescharacteristic
524Q8—21no—
525Q8—21no—
526D4—21no—
527D4—21no—
528D4—21no—
529D4—21no—
530D4—21no—
531D4—42no—
532D4—42no—
533D4#131×C15112yes—
534C2×C4—22no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—81no—
551C2×C4—81no—
552C2×C4—81no—
553C2×C4C4×D4×C15111yescharacteristic
554C2×C4C4×D4×C15111yescharacteristic
555C2×C4C4×D4×C15111yescharacteristic
556C2×C4C23×C4×C15111yescharacteristic
557C2×C4C22×D4×C15111yescharacteristic
558C2×C4C2×#41×C15111yescharacteristic
559C8—22no—
560C8—22no—
561C8—21no—
562C8—21no—
563C8—21no—
564C8—21no—
565C8—21no—
566C8—21no—
567C8—21no—
568C8—21no—
569C8—41no—
570C8—41no—
571C8—41no—
572C8—41no—
573C22—21no—
574C22—21no—
575C22—22no—
576C22—41no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—84no—
585C22#443×C15112yes—
586C22C2×C4×D4×C15111yescharacteristic
587C4—21no—
588C4—21no—
589C4—21no—
590C4—21no—
591C4—41no—
592C4—41no—
593C4—41no—
594C4—41no—
595C4—41no—
596C4C2×#131×C15111yescharacteristic
597C4#568×C15111yescharacteristic
598C4#576×C15111yescharacteristic
599C4#577×C15111yescharacteristic
600C2—22no—
601C2—42no—
602C2—81no—
603C2—81no—
604C2#2933×C15111yescharacteristic
605C2#2946×C15111yescharacteristic
606C2C2×#443×C15111yescharacteristic
subgroupG/H
centerC2×C4×C151C22×D4
commutatorC2×C4C23×C4×C151
Frattini, cosocleC42C24×C151
socleC22×C151C2×C4×D4
prime radical#447×C151C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C151 ◁ #431×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2994×C151C2semidirect
3. #2974×C151C2semidirect
4. #1590×C151C2semidirect
5. #1589×C151C2semidirect
6. #1588×C151C2semidirect
7. #1586×C151C2semidirect
8. #1586×C151C2semidirect
9. #1585×C151C2semidirect
10. C8×SD16×C151C2semidirect
11. C8×D8×C151C2semidirect
12. #1573×C151C2semidirect
13. #1494×C151C2semidirect
14. C2×D4⋊C8×C151C2semidirect
15. #1450×C151C2semidirect
26. #446×C151C22semidirect
27. C8×Q8×C151C22semidirect
34. #436×C151C22semidirect
41. C8×D4×C151C22semidirect
51. #335×C151C22semidirect
52. #335×C151C22semidirect
53. #334×C151C22semidirect
54. #334×C151C22semidirect
55. Q8⋊C8×C151C22semidirect
56. Q8⋊C8×C151C22semidirect
61. D4⋊C8×C151C22semidirect
62. D4⋊C8×C151C22semidirect
63. #322×C151C22semidirect
64. #322×C151C22semidirect
65. C82×C151C22semidirect
66. C82×C151C22semidirect
303. #18014C151direct (N × H)
304. C151#18014direct (N × H)
306. #2994C2×C151semidirect
307. #2974C2×C151semidirect
308. #1590C2×C151semidirect
309. #1589C2×C151semidirect
310. #1588C2×C151semidirect
311. #1586C2×C151semidirect
312. #1586C2×C151semidirect
313. #1585C2×C151semidirect
314. C8×SD16C2×C151semidirect
315. C8×D8C2×C151semidirect
316. #1573C2×C151semidirect
317. #1494C2×C151semidirect
318. C2×D4⋊C8C2×C151semidirect
319. #1450C2×C151semidirect
330. #446C22×C151semidirect
331. C8×Q8C22×C151semidirect
338. #436C22×C151semidirect
345. C8×D4C22×C151semidirect
355. #335C22×C151semidirect
356. #335C22×C151semidirect
357. #334C22×C151semidirect
358. #334C22×C151semidirect
359. Q8⋊C8C22×C151semidirect
360. Q8⋊C8C22×C151semidirect
365. D4⋊C8C22×C151semidirect
366. D4⋊C8C22×C151semidirect
367. #322C22×C151semidirect
368. #322C22×C151semidirect
369. C82C22×C151semidirect
370. C82C22×C151semidirect

Maximal subgroups

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

subgroupindex
#3105×C1512
#2994×C1512
#2974×C1512
#1590×C1512
#1589×C1512
#1588×C1512
#1586×C1512
#1585×C1512
C8×SD16×C1512
C8×D8×C1512
#1573×C1512
#1494×C1512
C2×D4⋊C8×C1512
#1450×C1512
#18014151