Finite Group Databasebeta

← C151×#24847 #50329772

Subgroups — C151×#24847 #50329772

Order 38656.

852 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#474×C151C211yesmaximal, characteristic, complemented
2C2×#424×C151C211yesmaximal, characteristic, complemented
3#2628×C151C211yesmaximal, characteristic, complemented
4#2324×C151C211yesmaximal, characteristic
5#2087×C151C211yesmaximal, characteristic, complemented
6#2086×C151C211yesmaximal, characteristic, complemented
7#2067×C151C211yesmaximal, characteristic, complemented
8#2065×C151C211yesmaximal, characteristic, complemented
9#1987×C151C211yesmaximal, characteristic, complemented
10#1949×C151C211yesmaximal, characteristic, complemented
11#1895×C151C211yesmaximal, characteristic
12#1893×C151C211yesmaximal, characteristic
13#1809×C151C211yesmaximal, characteristic, complemented
14#1808×C151C211yesmaximal, characteristic, complemented
15#1804×C151C211yesmaximal, characteristic, complemented
16C22×M16×C151C2211yescharacteristic
17C23×C8×C151C2211yescharacteristic
18C2×C4⋊Q8×C151C2211yescharacteristic
19C2×#121×C151C2211yescharacteristic
20C2×C4×D4×C151C2211yescharacteristic
21C2×#117×C151C2211yescharacteristic
22#474×C151—24no—
23C2×#107×C151C2211yescharacteristic
24C2×#107×C151C2211yescharacteristic
25C2×#107×C151C2211yescharacteristic
26C2×#106×C151C2211yescharacteristic
27#424×C151—24no—
28C2×C4⋊C8×C151C2211yescharacteristic
29C2×C4⋊C8×C151C2211yescharacteristic
30C2×C4⋊C8×C151C2211yescharacteristic
31C2×C4⋊C8×C151C2211yescharacteristic
32C2×#102×C151C2211yescharacteristic
33C2×#102×C151C2211yescharacteristic
34C2×#102×C151C2211yescharacteristic
35C2×#102×C151C2211yescharacteristic
36#400×C151—21no—
37#399×C151—21no—
38#395×C151—21no—
39#393×C151—21no—
40#390×C151—21no—
41#390×C151C2211yescharacteristic
42#389×C151C2211yescharacteristic
43#389×C151C2211yescharacteristic
44#389×C151C2211yescharacteristic
45#388×C151—21no—
46#386×C151—21no—
47#385×C151—21no—
48#382×C151C2211yescharacteristic
49#380×C151C2211yescharacteristic
50#380×C151C2211yescharacteristic
51#380×C151C2211yescharacteristic
52C4×C4⋊C4×C151C2211yescharacteristic
53#340×C151C2211yescharacteristic
54#340×C151C2211yescharacteristic
55#340×C151C2211yescharacteristic
56#340×C151C2211yescharacteristic
57#340×C151C2211yescharacteristic
58#340×C151C2211yescharacteristic
59#340×C151C2211yescharacteristic
60#340×C151C2211yescharacteristic
61C22×Q8×C151—21no—
62C22×D4×C151—21no—
63C22×D4×C151C2311yescharacteristic
64C23×C4×C151—21no—
65C23×C4×C151C2311yescharacteristic
66C2×M16×C151—22no—
67C2×M16×C151—22no—
68C2×M16×C151—41no—
69C22×C8×C151—22no—
70C22×C8×C151—22no—
71C22×C8×C151—41no—
72C22×C8×C151C2311yescharacteristic
73C22×C8×C151C2311yescharacteristic
74C22×C8×C151C2311yescharacteristic
75C22×C8×C151C2311yescharacteristic
76C4⋊Q8×C151—22no—
77C4⋊Q8×C151—22no—
78#121×C151—22no—
79#121×C151Q814yescomplemented
80C4×D4×C151—22no—
81C4×D4×C151—22no—
82#117×C151—22no—
83#117×C151—22no—
84C2×C4⋊C4×C151—21no—
85C2×C4⋊C4×C151—21no—
86C2×C4⋊C4×C151—21no—
87C2×C4⋊C4×C151—21no—
88C2×C4⋊C4×C151D411yescharacteristic
89C2×C4⋊C4×C151D411yescharacteristic
90C2×C4⋊C4×C151C2311yescharacteristic
91C2×C4⋊C4×C151C2311yescharacteristic
92C2×C4⋊C4×C151C2311yescharacteristic
93C2×C4⋊C4×C151C2311yescharacteristic
94C2×C4⋊C4×C151C2311yescharacteristic
95C2×C4⋊C4×C151C2311yescharacteristic
96C2×C4⋊C4×C151C2311yescharacteristic
97C2×C22⋊C4×C151—21no—
98C2×C22⋊C4×C151—21no—
99C2×C22⋊C4×C151—21no—
100C2×C22⋊C4×C151—21no—
101C2×C22⋊C4×C151—21no—
102C2×C22⋊C4×C151—21no—
103C2×C22⋊C4×C151—21no—
104C2×C22⋊C4×C151D411yescharacteristic
105C2×C22⋊C4×C151D411yescharacteristic
106C2×C42×C151—21no—
107C2×C42×C151C2311yescharacteristic
108C2×C42×C151C2311yescharacteristic
109#107×C151—22no—
110#107×C151—22no—
111#107×C151—41no—
112#106×C151—41no—
113C4⋊C8×C151—22no—
114C4⋊C8×C151—22no—
115C4⋊C8×C151—22no—
116C4⋊C8×C151D414yescomplemented
117#102×C151—22no—
118#102×C151—22no—
119#102×C151—41no—
120#102×C151—41no—
121#95×C151—21no—
122#95×C151—21no—
123#95×C151—21no—
124#95×C151—21no—
125#95×C151—21no—
126#95×C151—21no—
127#95×C151—21no—
128#95×C151—21no—
129#95×C151—21no—
130C24×C151—21no—
131C24×C151C2×D411yescharacteristic
132C2×Q8×C151—42no—
133C2×Q8×C151—81no—
134C2×Q8×C151—81no—
135C2×D4×C151—24no—
136C2×D4×C151—21no—
137C2×D4×C151—21no—
138C2×D4×C151—21no—
139C2×D4×C151—21no—
140C2×D4×C151—21no—
141C2×D4×C151—81no—
142C2×D4×C151—81no—
143C2×D4×C151C2×Q812yes—
144C22×C4×C151—21no—
145C22×C4×C151—21no—
146C22×C4×C151—21no—
147C22×C4×C151—21no—
148C22×C4×C151—21no—
149C22×C4×C151—21no—
150C22×C4×C151—21no—
151C22×C4×C151—21no—
152C22×C4×C151—21no—
153C22×C4×C151—21no—
154C22×C4×C151—21no—
155C22×C4×C151—42no—
156C22×C4×C151—81no—
157C22×C4×C151—81no—
158C22×C4×C151C2×D411yescharacteristic
159C22×C4×C151C2×D411yescharacteristic
160C22×C4×C151C2×D411yescharacteristic
161C22×C4×C151C2×D411yescharacteristic
162C22×C4×C151C2×D411yescharacteristic
163C22×C4×C151C2×Q812yes—
164C22×C4×C151#4112yes—
165C22×C4×C151C2411yescharacteristic
166M16×C151—44no—
167C2×C8×C151—21no—
168C2×C8×C151—21no—
169C2×C8×C151—21no—
170C2×C8×C151—21no—
171C2×C8×C151—21no—
172C2×C8×C151—21no—
173C2×C8×C151—21no—
174C2×C8×C151—21no—
175C2×C8×C151—21no—
176C2×C8×C151—21no—
177C2×C8×C151—44no—
178C2×C8×C151C2×D412yes—
179C2×C8×C151C2×D412yes—
180C4⋊C4×C151—22no—
181C4⋊C4×C151—22no—
182C4⋊C4×C151—21no—
183C4⋊C4×C151—21no—
184C4⋊C4×C151—21no—
185C4⋊C4×C151—21no—
186C4⋊C4×C151—21no—
187C4⋊C4×C151—21no—
188C4⋊C4×C151—21no—
189C4⋊C4×C151—21no—
190C4⋊C4×C151—21no—
191C4⋊C4×C151—21no—
192C4⋊C4×C151—21no—
193C4⋊C4×C151—21no—
194C4⋊C4×C151—21no—
195C4⋊C4×C151—42no—
196C4⋊C4×C151—81no—
197C4⋊C4×C151—81no—
198C4⋊C4×C151—81no—
199C4⋊C4×C151C2×Q812yes—
200C22⋊C4×C151—22no—
201C22⋊C4×C151—22no—
202C22⋊C4×C151—24no—
203C22⋊C4×C151—42no—
204C22⋊C4×C151—81no—
205C22⋊C4×C151—81no—
206C22⋊C4×C151—81no—
207C22⋊C4×C151—81no—
208C22⋊C4×C151—81no—
209C42×C151—21no—
210C42×C151—21no—
211C42×C151—81no—
212C42×C151C2×D412yes—
213C42×C151#4112yes—
214C23×C151—21no—
215C23×C151—21no—
216C23×C151—21no—
217C23×C151—21no—
218C23×C151—21no—
219C23×C151—21no—
220C23×C151—22no—
221C23×C151—41no—
222C23×C151—41no—
223C23×C151—41no—
224C23×C151—41no—
225C23×C151—41no—
226C23×C151—41no—
227C23×C151C22⋊Q812yes—
228C23×C151C22×D411yescharacteristic
229Q8×C151—84no—
230D4×C151—22no—
231D4×C151—22no—
232D4×C151—41no—
233D4×C151—41no—
234D4×C151—84no—
235C2×C4×C151—21no—
236C2×C4×C151—21no—
237C2×C4×C151—21no—
238C2×C4×C151—21no—
239C2×C4×C151—21no—
240C2×C4×C151—21no—
241C2×C4×C151—22no—
242C2×C4×C151—22no—
243C2×C4×C151—22no—
244C2×C4×C151—22no—
245C2×C4×C151—21no—
246C2×C4×C151—21no—
247C2×C4×C151—22no—
248C2×C4×C151—21no—
249C2×C4×C151—21no—
250C2×C4×C151—21no—
251C2×C4×C151—21no—
252C2×C4×C151—41no—
253C2×C4×C151—41no—
254C2×C4×C151—41no—
255C2×C4×C151—41no—
256C2×C4×C151—41no—
257C2×C4×C151—41no—
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—41no—
270C2×C4×C151—41no—
271C2×C4×C151—41no—
272C2×C4×C151—84no—
273C2×C4×C151#12112yes—
274C2×C4×C151#12112yes—
275C2×C4×C151C22⋊Q812yes—
276C2×C4×C151C22×D411yescharacteristic
277C2×C4×C151C22×Q811yescharacteristic
278C2×C4×C151C2×#4111yescharacteristic
279C2×C4×C151C2×#4111yescharacteristic
280C2×C4×C151H(5,𝔽2)11yescharacteristic
281C2×C4×C1512−1+411yescharacteristic
282C8×C151—22no—
283C8×C151—22no—
284C8×C151—41no—
285C8×C151—41no—
286C22×C151—22no—
287C22×C151—22no—
288C22×C151—22no—
289C22×C151—41no—
290C22×C151—41no—
291C22×C151—41no—
292C22×C151—41no—
293C22×C151—42no—
294C22×C151—42no—
295C22×C151—42no—
296C22×C151—81no—
297C22×C151—81no—
298C22×C151—81no—
299C22×C151—81no—
300C22×C151C2×#12111yescharacteristic
301C22×C151C2×C22⋊Q811yescharacteristic
302C22×C151#53711yescharacteristic
303C22×C151#57611yescharacteristic
304C22×C151#57611yescharacteristic
305C22×C151#57711yescharacteristic
306C22×C151#57811yescharacteristic
307C4×C151—22no—
308C4×C151—22no—
309C4×C151—22no—
310C4×C151—42no—
311C4×C151—41no—
312C4×C151—41no—
313C4×C151—81no—
314C4×C151—81no—
315C4×C151—81no—
316C4×C151—81no—
317C4×C151—81no—
318C4×C151—81no—
319C4×C151#54611yescharacteristic
320C4×C151D4×Q811yescharacteristic
321C4×C151#55211yescharacteristic
322C4×C151#55411yescharacteristic
323C2×C151—42no—
324C2×C151—82no—
325C2×C151#241711yescharacteristic
326C2×C151#305811yescharacteristic
327C2×C151#306311yescharacteristic
328C2×C151#308111yescharacteristic
329C2×C151#308311yescharacteristic
330C2×C151#325711yescharacteristic
331C2×C151#326211yescharacteristic
332#24847C15111yesmaximal, characteristic, direct product factor, Sylow
333C151#2484711yescharacteristic, direct product factor, Sylow
334C2×#474C2×C15111yescharacteristic, complemented
335C2×#424C2×C15111yescharacteristic, complemented
336#2628C2×C15111yescharacteristic, complemented
337#2324C2×C15111yescharacteristic
338#2087C2×C15111yescharacteristic, complemented
339#2086C2×C15111yescharacteristic, complemented
340#2067C2×C15111yescharacteristic, complemented
341#2065C2×C15111yescharacteristic, complemented
342#1987C2×C15111yescharacteristic, complemented
343#1949C2×C15111yescharacteristic, complemented
344#1895C2×C15111yescharacteristic
345#1893C2×C15111yescharacteristic
346#1809C2×C15111yescharacteristic, complemented
347#1808C2×C15111yescharacteristic, complemented
348#1804C2×C15111yescharacteristic, complemented
349C22×M16C22×C15111yescharacteristic
350C23×C8C22×C15111yescharacteristic
351C2×C4⋊Q8C22×C15111yescharacteristic
352C2×#121C22×C15111yescharacteristic
353C2×C4×D4C22×C15111yescharacteristic
354C2×#117C22×C15111yescharacteristic
355#474—24no—
356C2×#107C22×C15111yescharacteristic
357C2×#107C22×C15111yescharacteristic
358C2×#107C22×C15111yescharacteristic
359C2×#106C22×C15111yescharacteristic
360#424—24no—
361C2×C4⋊C8C22×C15111yescharacteristic
362C2×C4⋊C8C22×C15111yescharacteristic
363C2×C4⋊C8C22×C15111yescharacteristic
364C2×C4⋊C8C22×C15111yescharacteristic
365C2×#102C22×C15111yescharacteristic
366C2×#102C22×C15111yescharacteristic
367C2×#102C22×C15111yescharacteristic
368C2×#102C22×C15111yescharacteristic
369#400—21no—
370#399—21no—
371#395—21no—
372#393—21no—
373#390—21no—
374#390C22×C15111yescharacteristic
375#389C22×C15111yescharacteristic
376#389C22×C15111yescharacteristic
377#389C22×C15111yescharacteristic
378#388—21no—
379#386—21no—
380#385—21no—
381#382C22×C15111yescharacteristic
382#380C22×C15111yescharacteristic
383#380C22×C15111yescharacteristic
384#380C22×C15111yescharacteristic
385C4×C4⋊C4C22×C15111yescharacteristic
386#340C22×C15111yescharacteristic
387#340C22×C15111yescharacteristic
388#340C22×C15111yescharacteristic
389#340C22×C15111yescharacteristic
390#340C22×C15111yescharacteristic
391#340C22×C15111yescharacteristic
392#340C22×C15111yescharacteristic
393#340C22×C15111yescharacteristic
394C22×Q8—21no—
395C22×D4—21no—
396C22×D4C23×C15111yescharacteristic
397C23×C4—21no—
398C23×C4C23×C15111yescharacteristic
399C2×M16—22no—
400C2×M16—22no—
401C2×M16—41no—
402C22×C8—22no—
403C22×C8—22no—
404C22×C8—41no—
405C22×C8C23×C15111yescharacteristic
406C22×C8C23×C15111yescharacteristic
407C22×C8C23×C15111yescharacteristic
408C22×C8C23×C15111yescharacteristic
409C4⋊Q8—22no—
410C4⋊Q8—22no—
411#121—22no—
412#121Q8×C15114yescomplemented
413C4×D4—22no—
414C4×D4—22no—
415#117—22no—
416#117—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4D4×C15111yescharacteristic
422C2×C4⋊C4D4×C15111yescharacteristic
423C2×C4⋊C4C23×C15111yescharacteristic
424C2×C4⋊C4C23×C15111yescharacteristic
425C2×C4⋊C4C23×C15111yescharacteristic
426C2×C4⋊C4C23×C15111yescharacteristic
427C2×C4⋊C4C23×C15111yescharacteristic
428C2×C4⋊C4C23×C15111yescharacteristic
429C2×C4⋊C4C23×C15111yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4D4×C15111yescharacteristic
438C2×C22⋊C4D4×C15111yescharacteristic
439C2×C42—21no—
440C2×C42C23×C15111yescharacteristic
441C2×C42C23×C15111yescharacteristic
442#107—22no—
443#107—22no—
444#107—41no—
445#106—41no—
446C4⋊C8—22no—
447C4⋊C8—22no—
448C4⋊C8—22no—
449C4⋊C8D4×C15114yescomplemented
450#102—22no—
451#102—22no—
452#102—41no—
453#102—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463C24—21no—
464C24C2×D4×C15111yescharacteristic
465C2×Q8—42no—
466C2×Q8—81no—
467C2×Q8—81no—
468C2×D4—24no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4C2×Q8×C15112yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—42no—
489C22×C4—81no—
490C22×C4—81no—
491C22×C4C2×D4×C15111yescharacteristic
492C22×C4C2×D4×C15111yescharacteristic
493C22×C4C2×D4×C15111yescharacteristic
494C22×C4C2×D4×C15111yescharacteristic
495C22×C4C2×D4×C15111yescharacteristic
496C22×C4C2×Q8×C15112yes—
497C22×C4#41×C15112yes—
498C22×C4C24×C15111yescharacteristic
499M16—44no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—44no—
511C2×C8C2×D4×C15112yes—
512C2×C8C2×D4×C15112yes—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4C2×Q8×C15112yes—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—24no—
536C22⋊C4—42no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—81no—
545C42C2×D4×C15112yes—
546C42#41×C15112yes—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—22no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23C22⋊Q8×C15112yes—
561C23C22×D4×C15111yescharacteristic
562Q8—84no—
563D4—22no—
564D4—22no—
565D4—41no—
566D4—41no—
567D4—84no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—84no—
606C2×C4#121×C15112yes—
607C2×C4#121×C15112yes—
608C2×C4C22⋊Q8×C15112yes—
609C2×C4C22×D4×C15111yescharacteristic
610C2×C4C22×Q8×C15111yescharacteristic
611C2×C4C2×#41×C15111yescharacteristic
612C2×C4C2×#41×C15111yescharacteristic
613C2×C4H(5,𝔽2)×C15111yescharacteristic
614C2×C42−1+4×C15111yescharacteristic
615C8—22no—
616C8—22no—
617C8—41no—
618C8—41no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22C2×#121×C15111yescharacteristic
634C22C2×C22⋊Q8×C15111yescharacteristic
635C22#537×C15111yescharacteristic
636C22#576×C15111yescharacteristic
637C22#576×C15111yescharacteristic
638C22#577×C15111yescharacteristic
639C22#578×C15111yescharacteristic
640C4—22no—
641C4—22no—
642C4—22no—
643C4—41no—
644C4—41no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4#546×C15111yescharacteristic
653C4D4×Q8×C15111yescharacteristic
654C4#552×C15111yescharacteristic
655C4#554×C15111yescharacteristic
656C2—42no—
657C2—82no—
658C2#2417×C15111yescharacteristic
659C2#3058×C15111yescharacteristic
660C2#3063×C15111yescharacteristic
661C2#3081×C15111yescharacteristic
662C2#3083×C15111yescharacteristic
663C2#3257×C15111yescharacteristic
664C2#3262×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC2×#121×C151C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C2×#117×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#474×C151C2semidirect
2. C2×#424×C151C2semidirect
3. #2628×C151C2semidirect
5. #2087×C151C2semidirect
6. #2086×C151C2semidirect
7. #2067×C151C2semidirect
8. #2065×C151C2semidirect
9. #1987×C151C2semidirect
10. #1949×C151C2semidirect
13. #1809×C151C2semidirect
14. #1808×C151C2semidirect
15. #1804×C151C2semidirect
79. #121×C151Q8semidirect
116. C4⋊C8×C151D4semidirect
332. #24847C151direct (N × H)
333. C151#24847direct (N × H)
334. C2×#474C2×C151semidirect
335. C2×#424C2×C151semidirect
336. #2628C2×C151semidirect
338. #2087C2×C151semidirect
339. #2086C2×C151semidirect
340. #2067C2×C151semidirect
341. #2065C2×C151semidirect
342. #1987C2×C151semidirect
343. #1949C2×C151semidirect
346. #1809C2×C151semidirect
347. #1808C2×C151semidirect
348. #1804C2×C151semidirect
412. #121Q8×C151semidirect
449. C4⋊C8D4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#474×C1512
C2×#424×C1512
#2628×C1512
#2324×C1512
#2087×C1512
#2086×C1512
#2067×C1512
#2065×C1512
#1987×C1512
#1949×C1512
#1895×C1512
#1893×C1512
#1809×C1512
#1808×C1512
#1804×C1512
#24847151