Finite Group Databasebeta

← C151×#24848 #50329773

Subgroups — C151×#24848 #50329773

Order 38656.

844 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#478×C151C211yesmaximal, characteristic, complemented
2C2×#424×C151C211yesmaximal, characteristic, complemented
3#2629×C151C211yesmaximal, characteristic, complemented
4#2324×C151C211yesmaximal, characteristic
5#2088×C151C211yesmaximal, characteristic, complemented
6#2087×C151C211yesmaximal, characteristic, complemented
7#2067×C151C211yesmaximal, characteristic, complemented
8#2067×C151C211yesmaximal, characteristic, complemented
9#1989×C151C211yesmaximal, characteristic, complemented
10#1947×C151C211yesmaximal, characteristic, complemented
11#1895×C151C211yesmaximal, characteristic
12#1893×C151C211yesmaximal, characteristic
13#1809×C151C211yesmaximal, characteristic, complemented
14#1808×C151C211yesmaximal, characteristic, complemented
15#1802×C151C211yesmaximal, characteristic, complemented
16C22×M16×C151C2211yescharacteristic
17C23×C8×C151C2211yescharacteristic
18C2×#125×C151C2211yescharacteristic
19C2×#121×C151C2211yescharacteristic
20C2×C4×D4×C151C2211yescharacteristic
21C2×#117×C151C2211yescharacteristic
22#478×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#398×C151—21no—
37#398×C151—21no—
38#396×C151—21no—
39#396×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#384×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×D4×C151—21no—
62C22×D4×C151C2311yescharacteristic
63C23×C4×C151—21no—
64C23×C4×C151C2311yescharacteristic
65C2×M16×C151—22no—
66C2×M16×C151—22no—
67C2×M16×C151—41no—
68C22×C8×C151—22no—
69C22×C8×C151—22no—
70C22×C8×C151—41no—
71C22×C8×C151C2311yescharacteristic
72C22×C8×C151C2311yescharacteristic
73C22×C8×C151C2311yescharacteristic
74C22×C8×C151C2311yescharacteristic
75#125×C151—22no—
76#125×C151—22no—
77#121×C151—22no—
78#121×C151Q814yes—
79C4×D4×C151—22no—
80C4×D4×C151—22no—
81#117×C151—22no—
82#117×C151—22no—
83C2×C4⋊C4×C151—21no—
84C2×C4⋊C4×C151—21no—
85C2×C4⋊C4×C151—21no—
86C2×C4⋊C4×C151—21no—
87C2×C4⋊C4×C151—21no—
88C2×C4⋊C4×C151—21no—
89C2×C4⋊C4×C151—21no—
90C2×C4⋊C4×C151D411yescharacteristic
91C2×C4⋊C4×C151D411yescharacteristic
92C2×C4⋊C4×C151C2311yescharacteristic
93C2×C4⋊C4×C151C2311yescharacteristic
94C2×C4⋊C4×C151C2311yescharacteristic
95C2×C4⋊C4×C151C2311yescharacteristic
96C2×C4⋊C4×C151C2311yescharacteristic
97C2×C4⋊C4×C151C2311yescharacteristic
98C2×C4⋊C4×C151C2311yescharacteristic
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×C151—21no—
105C2×C22⋊C4×C151—21no—
106C2×C22⋊C4×C151D411yescharacteristic
107C2×C22⋊C4×C151D411yescharacteristic
108C2×C42×C151—21no—
109C2×C42×C151C2311yescharacteristic
110C2×C42×C151C2311yescharacteristic
111#107×C151—22no—
112#107×C151—41no—
113#107×C151—41no—
114#106×C151—22no—
115C4⋊C8×C151—22no—
116C4⋊C8×C151—22no—
117C4⋊C8×C151—22no—
118C4⋊C8×C151D414yescomplemented
119#102×C151—22no—
120#102×C151—22no—
121#102×C151—41no—
122#102×C151—41no—
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×D4×C151—24no—
133C2×D4×C151—21no—
134C2×D4×C151—21no—
135C2×D4×C151—21no—
136C2×D4×C151—21no—
137C2×D4×C151—21no—
138C2×D4×C151—81no—
139C2×D4×C151—81no—
140C2×D4×C151C2×Q812yes—
141C22×C4×C151—21no—
142C22×C4×C151—21no—
143C22×C4×C151—21no—
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—42no—
153C22×C4×C151—81no—
154C22×C4×C151—81no—
155C22×C4×C151C2×D411yescharacteristic
156C22×C4×C151C2×D411yescharacteristic
157C22×C4×C151C2×D411yescharacteristic
158C22×C4×C151C2×D411yescharacteristic
159C22×C4×C151C2×D411yescharacteristic
160C22×C4×C151C2×Q812yes—
161C22×C4×C151#4112yes—
162C22×C4×C151C2411yescharacteristic
163M16×C151—44no—
164C2×C8×C151—21no—
165C2×C8×C151—21no—
166C2×C8×C151—21no—
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—44no—
175C2×C8×C151C2×D412yes—
176C2×C8×C151C2×D412yes—
177C4⋊C4×C151—22no—
178C4⋊C4×C151—22no—
179C4⋊C4×C151—21no—
180C4⋊C4×C151—21no—
181C4⋊C4×C151—21no—
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—42no—
193C4⋊C4×C151—42no—
194C4⋊C4×C151—81no—
195C4⋊C4×C151—81no—
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
229D4×C151—22no—
230D4×C151—22no—
231D4×C151—41no—
232D4×C151—41no—
233D4×C151—84no—
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—22no—
241C2×C4×C151—22no—
242C2×C4×C151—22no—
243C2×C4×C151—22no—
244C2×C4×C151—21no—
245C2×C4×C151—21no—
246C2×C4×C151—22no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—21no—
250C2×C4×C151—21no—
251C2×C4×C151—41no—
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—84no—
272C2×C4×C151#12112yes—
273C2×C4×C151#12112yes—
274C2×C4×C151C22⋊Q812yes—
275C2×C4×C151C22×D411yescharacteristic
276C2×C4×C151C22×Q811yescharacteristic
277C2×C4×C151C2×#4111yescharacteristic
278C2×C4×C151C2×#4111yescharacteristic
279C2×C4×C151H(5,𝔽2)11yescharacteristic
280C2×C4×C1512−1+411yescharacteristic
281C8×C151—22no—
282C8×C151—22no—
283C8×C151—41no—
284C8×C151—41no—
285C22×C151—22no—
286C22×C151—22no—
287C22×C151—22no—
288C22×C151—41no—
289C22×C151—41no—
290C22×C151—41no—
291C22×C151—41no—
292C22×C151—42no—
293C22×C151—42no—
294C22×C151—42no—
295C22×C151—81no—
296C22×C151—81no—
297C22×C151—81no—
298C22×C151—81no—
299C22×C151C2×#12111yescharacteristic
300C22×C151C2×C22⋊Q811yescharacteristic
301C22×C151#53711yescharacteristic
302C22×C151#57611yescharacteristic
303C22×C151#57611yescharacteristic
304C22×C151#57711yescharacteristic
305C22×C151#57811yescharacteristic
306C4×C151—22no—
307C4×C151—22no—
308C4×C151—22no—
309C4×C151—42no—
310C4×C151—41no—
311C4×C151—41no—
312C4×C151—81no—
313C4×C151—81no—
314C4×C151—81no—
315C4×C151—81no—
316C4×C151—81no—
317C4×C151—81no—
318C4×C151#54611yescharacteristic
319C4×C151D4×Q811yescharacteristic
320C4×C151#55211yescharacteristic
321C4×C151#55411yescharacteristic
322C2×C151—42no—
323C2×C151—82no—
324C2×C151#241711yescharacteristic
325C2×C151#306111yescharacteristic
326C2×C151#306211yescharacteristic
327C2×C151#308111yescharacteristic
328C2×C151#308311yescharacteristic
329C2×C151#325811yescharacteristic
330C2×C151#325911yescharacteristic
331#24848C15111yesmaximal, characteristic, direct product factor, Sylow
332C151#2484811yescharacteristic, direct product factor, Sylow
333C2×#478C2×C15111yescharacteristic, complemented
334C2×#424C2×C15111yescharacteristic, complemented
335#2629C2×C15111yescharacteristic, complemented
336#2324C2×C15111yescharacteristic
337#2088C2×C15111yescharacteristic, complemented
338#2087C2×C15111yescharacteristic, complemented
339#2067C2×C15111yescharacteristic, complemented
340#2067C2×C15111yescharacteristic, complemented
341#1989C2×C15111yescharacteristic, complemented
342#1947C2×C15111yescharacteristic, complemented
343#1895C2×C15111yescharacteristic
344#1893C2×C15111yescharacteristic
345#1809C2×C15111yescharacteristic, complemented
346#1808C2×C15111yescharacteristic, complemented
347#1802C2×C15111yescharacteristic, complemented
348C22×M16C22×C15111yescharacteristic
349C23×C8C22×C15111yescharacteristic
350C2×#125C22×C15111yescharacteristic
351C2×#121C22×C15111yescharacteristic
352C2×C4×D4C22×C15111yescharacteristic
353C2×#117C22×C15111yescharacteristic
354#478—24no—
355C2×#107C22×C15111yescharacteristic
356C2×#107C22×C15111yescharacteristic
357C2×#107C22×C15111yescharacteristic
358C2×#106C22×C15111yescharacteristic
359#424—24no—
360C2×C4⋊C8C22×C15111yescharacteristic
361C2×C4⋊C8C22×C15111yescharacteristic
362C2×C4⋊C8C22×C15111yescharacteristic
363C2×C4⋊C8C22×C15111yescharacteristic
364C2×#102C22×C15111yescharacteristic
365C2×#102C22×C15111yescharacteristic
366C2×#102C22×C15111yescharacteristic
367C2×#102C22×C15111yescharacteristic
368#398—21no—
369#398—21no—
370#396—21no—
371#396—21no—
372#390—21no—
373#390C22×C15111yescharacteristic
374#389C22×C15111yescharacteristic
375#389C22×C15111yescharacteristic
376#389C22×C15111yescharacteristic
377#388—21no—
378#386—21no—
379#385—21no—
380#384C22×C15111yescharacteristic
381#380C22×C15111yescharacteristic
382#380C22×C15111yescharacteristic
383#380C22×C15111yescharacteristic
384C4×C4⋊C4C22×C15111yescharacteristic
385#340C22×C15111yescharacteristic
386#340C22×C15111yescharacteristic
387#340C22×C15111yescharacteristic
388#340C22×C15111yescharacteristic
389#340C22×C15111yescharacteristic
390#340C22×C15111yescharacteristic
391#340C22×C15111yescharacteristic
392#340C22×C15111yescharacteristic
393C22×D4—21no—
394C22×D4C23×C15111yescharacteristic
395C23×C4—21no—
396C23×C4C23×C15111yescharacteristic
397C2×M16—22no—
398C2×M16—22no—
399C2×M16—41no—
400C22×C8—22no—
401C22×C8—22no—
402C22×C8—41no—
403C22×C8C23×C15111yescharacteristic
404C22×C8C23×C15111yescharacteristic
405C22×C8C23×C15111yescharacteristic
406C22×C8C23×C15111yescharacteristic
407#125—22no—
408#125—22no—
409#121—22no—
410#121Q8×C15114yes—
411C4×D4—22no—
412C4×D4—22no—
413#117—22no—
414#117—22no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4D4×C15111yescharacteristic
423C2×C4⋊C4D4×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×C4⋊C4C23×C15111yescharacteristic
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⋊C4—21no—
438C2×C22⋊C4D4×C15111yescharacteristic
439C2×C22⋊C4D4×C15111yescharacteristic
440C2×C42—21no—
441C2×C42C23×C15111yescharacteristic
442C2×C42C23×C15111yescharacteristic
443#107—22no—
444#107—41no—
445#107—41no—
446#106—22no—
447C4⋊C8—22no—
448C4⋊C8—22no—
449C4⋊C8—22no—
450C4⋊C8D4×C15114yescomplemented
451#102—22no—
452#102—22no—
453#102—41no—
454#102—41no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462C24—21no—
463C24C2×D4×C15111yescharacteristic
464C2×D4—24no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—81no—
471C2×D4—81no—
472C2×D4C2×Q8×C15112yes—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—42no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4C2×D4×C15111yescharacteristic
488C22×C4C2×D4×C15111yescharacteristic
489C22×C4C2×D4×C15111yescharacteristic
490C22×C4C2×D4×C15111yescharacteristic
491C22×C4C2×D4×C15111yescharacteristic
492C22×C4C2×Q8×C15112yes—
493C22×C4#41×C15112yes—
494C22×C4C24×C15111yescharacteristic
495M16—44no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—44no—
507C2×C8C2×D4×C15112yes—
508C2×C8C2×D4×C15112yes—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
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—42no—
525C4⋊C4—42no—
526C4⋊C4—81no—
527C4⋊C4—81no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4C2×Q8×C15112yes—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—24no—
535C22⋊C4—42no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C42—21no—
542C42—21no—
543C42—81no—
544C42C2×D4×C15112yes—
545C42#41×C15112yes—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C22⋊Q8×C15112yes—
560C23C22×D4×C15111yescharacteristic
561D4—22no—
562D4—22no—
563D4—41no—
564D4—41no—
565D4—84no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
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—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—84no—
604C2×C4#121×C15112yes—
605C2×C4#121×C15112yes—
606C2×C4C22⋊Q8×C15112yes—
607C2×C4C22×D4×C15111yescharacteristic
608C2×C4C22×Q8×C15111yescharacteristic
609C2×C4C2×#41×C15111yescharacteristic
610C2×C4C2×#41×C15111yescharacteristic
611C2×C4H(5,𝔽2)×C15111yescharacteristic
612C2×C42−1+4×C15111yescharacteristic
613C8—22no—
614C8—22no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22C2×#121×C15111yescharacteristic
632C22C2×C22⋊Q8×C15111yescharacteristic
633C22#537×C15111yescharacteristic
634C22#576×C15111yescharacteristic
635C22#576×C15111yescharacteristic
636C22#577×C15111yescharacteristic
637C22#578×C15111yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—41no—
642C4—41no—
643C4—42no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4#546×C15111yescharacteristic
651C4D4×Q8×C15111yescharacteristic
652C4#552×C15111yescharacteristic
653C4#554×C15111yescharacteristic
654C2—42no—
655C2—82no—
656C2#2417×C15111yescharacteristic
657C2#3061×C15111yescharacteristic
658C2#3062×C15111yescharacteristic
659C2#3081×C15111yescharacteristic
660C2#3083×C15111yescharacteristic
661C2#3258×C15111yescharacteristic
662C2#3259×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×#478×C151C2semidirect
2. C2×#424×C151C2semidirect
3. #2629×C151C2semidirect
5. #2088×C151C2semidirect
6. #2087×C151C2semidirect
7. #2067×C151C2semidirect
8. #2067×C151C2semidirect
9. #1989×C151C2semidirect
10. #1947×C151C2semidirect
13. #1809×C151C2semidirect
14. #1808×C151C2semidirect
15. #1802×C151C2semidirect
118. C4⋊C8×C151D4semidirect
331. #24848C151direct (N × H)
332. C151#24848direct (N × H)
333. C2×#478C2×C151semidirect
334. C2×#424C2×C151semidirect
335. #2629C2×C151semidirect
337. #2088C2×C151semidirect
338. #2087C2×C151semidirect
339. #2067C2×C151semidirect
340. #2067C2×C151semidirect
341. #1989C2×C151semidirect
342. #1947C2×C151semidirect
345. #1809C2×C151semidirect
346. #1808C2×C151semidirect
347. #1802C2×C151semidirect
450. C4⋊C8D4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#478×C1512
C2×#424×C1512
#2629×C1512
#2324×C1512
#2088×C1512
#2087×C1512
#2067×C1512
#1989×C1512
#1947×C1512
#1895×C1512
#1893×C1512
#1809×C1512
#1808×C1512
#1802×C1512
#24848151