Finite Group Databasebeta

← C151×#24610 #50329535

Subgroups — C151×#24610 #50329535

Order 38656.

850 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#482×C151C211yesmaximal, characteristic
2C2×#432×C151C211yesmaximal, characteristic, complemented
3#2854×C151C211yesmaximal, characteristic
4#2296×C151C211yesmaximal, characteristic, complemented
5#2088×C151C211yesmaximal, characteristic, complemented
6#2086×C151C211yesmaximal, characteristic, complemented
7#2067×C151C211yesmaximal, characteristic, complemented
8#2065×C151C211yesmaximal, characteristic, complemented
9#1944×C151C211yesmaximal, characteristic, complemented
10#1943×C151C211yesmaximal, characteristic, complemented
11#1936×C151C211yesmaximal, characteristic, complemented
12#1936×C151C211yesmaximal, characteristic, complemented
13#1875×C151C211yesmaximal, characteristic
14#1854×C151C211yesmaximal, characteristic, complemented
15#1825×C151C211yesmaximal, characteristic, complemented
16C2×#123×C151—21no—
17C2×#121×C151C2211yescharacteristic
18C2×#117×C151C2211yescharacteristic
19C2×#117×C151C2211yescharacteristic
20C22×C42×C151C2211yescharacteristic
21#482×C151—24no—
22#432×C151—24no—
23C2×#107×C151C2211yescharacteristic
24C2×#107×C151C2211yescharacteristic
25C2×#106×C151C2211yescharacteristic
26C2×#106×C151C2211yescharacteristic
27C2×C4⋊C8×C151C2211yescharacteristic
28C2×C4⋊C8×C151C2211yescharacteristic
29C2×#102×C151C2211yescharacteristic
30C2×#102×C151C2211yescharacteristic
31C2×#102×C151C2211yescharacteristic
32C2×#102×C151C2211yescharacteristic
33C2×C22⋊C8×C151C2211yescharacteristic
34C2×C22⋊C8×C151C2211yescharacteristic
35C2×#97×C151C2211yescharacteristic
36C2×#97×C151C2211yescharacteristic
37#390×C151C2211yescharacteristic
38#390×C151C2211yescharacteristic
39#389×C151C2211yescharacteristic
40#389×C151C2211yescharacteristic
41#389×C151C2211yescharacteristic
42#389×C151C2211yescharacteristic
43#389×C151C2211yescharacteristic
44#389×C151C2211yescharacteristic
45#388×C151—21no—
46#388×C151—21no—
47#386×C151—21no—
48#385×C151—21no—
49#385×C151—21no—
50#380×C151C2211yescharacteristic
51C4×C4⋊C4×C151—21no—
52C4×C4⋊C4×C151—21no—
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×C151D411yescharacteristic
64C23×C4×C151D411yescharacteristic
65C23×C4×C151C2311yescharacteristic
66C22×C8×C151C2311yescharacteristic
67C22×C8×C151C2311yescharacteristic
68C22×C8×C151C2311yescharacteristic
69C22×C8×C151C2311yescharacteristic
70#123×C151—44no—
71#121×C151—22no—
72#121×C151—22no—
73#117×C151—22no—
74#117×C151—22no—
75#117×C151—22no—
76#117×C151—22no—
77C2×C4⋊C4×C151—21no—
78C2×C4⋊C4×C151—21no—
79C2×C4⋊C4×C151—21no—
80C2×C4⋊C4×C151—21no—
81C2×C4⋊C4×C151—21no—
82C2×C4⋊C4×C151—21no—
83C2×C4⋊C4×C151C2311yescharacteristic
84C2×C4⋊C4×C151C2311yescharacteristic
85C2×C4⋊C4×C151C2311yescharacteristic
86C2×C4⋊C4×C151C2311yescharacteristic
87C2×C4⋊C4×C151C2311yescharacteristic
88C2×C4⋊C4×C151C2311yescharacteristic
89C2×C4⋊C4×C151C2311yescharacteristic
90C2×C22⋊C4×C151—21no—
91C2×C22⋊C4×C151—21no—
92C2×C22⋊C4×C151—21no—
93C2×C22⋊C4×C151—21no—
94C2×C22⋊C4×C151—21no—
95C2×C22⋊C4×C151—21no—
96C2×C22⋊C4×C151—21no—
97C2×C22⋊C4×C151—21no—
98C2×C42×C151—21no—
99C2×C42×C151—22no—
100C2×C42×C151—22no—
101C2×C42×C151—21no—
102C2×C42×C151D411yescharacteristic
103C2×C42×C151D411yescharacteristic
104C2×C42×C151C2311yescharacteristic
105C2×C42×C151C2311yescharacteristic
106#107×C151—22no—
107#107×C151—22no—
108#106×C151—22no—
109#106×C151—22no—
110C4⋊C8×C151—22no—
111C4⋊C8×C151—22no—
112#102×C151—22no—
113#102×C151—22no—
114#102×C151—22no—
115#102×C151—22no—
116C22⋊C8×C151—22no—
117C22⋊C8×C151D414yes—
118#97×C151—22no—
119#97×C151—22no—
120#95×C151—21no—
121#95×C151—21no—
122#95×C151—21no—
123#95×C151—21no—
124#95×C151—21no—
125#95×C151—21no—
126#95×C151—21no—
127C24×C151—21no—
128C24×C151C2×D411yescharacteristic
129C2×D4×C151—21no—
130C2×D4×C151—21no—
131C2×D4×C151—21no—
132C2×D4×C151—21no—
133C2×D4×C151—21no—
134C2×D4×C151—21no—
135C2×D4×C151—42no—
136C2×D4×C151—42no—
137C2×D4×C151—42no—
138C22×C4×C151—21no—
139C22×C4×C151—21no—
140C22×C4×C151—21no—
141C22×C4×C151—21no—
142C22×C4×C151—22no—
143C22×C4×C151—22no—
144C22×C4×C151—21no—
145C22×C4×C151—21no—
146C22×C4×C151—22no—
147C22×C4×C151—21no—
148C22×C4×C151—21no—
149C22×C4×C151—21no—
150C22×C4×C151—21no—
151C22×C4×C151—21no—
152C22×C4×C151—41no—
153C22×C4×C151—41no—
154C22×C4×C151—41no—
155C22×C4×C151C2×D411yescharacteristic
156C22×C4×C151C2×D411yescharacteristic
157C22×C4×C151C2×D411yescharacteristic
158C22×C4×C151C2×D411yescharacteristic
159C22×C4×C151C2×D412yes—
160C22×C4×C151C2×D411yescharacteristic
161C22×C4×C151#4112yes—
162C22×C4×C151C2411yescharacteristic
163C2×C8×C151—21no—
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×C151C2×D412yes—
174C2×C8×C151C2×D412yes—
175C4⋊C4×C151—21no—
176C4⋊C4×C151—21no—
177C4⋊C4×C151—21no—
178C4⋊C4×C151—21no—
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—42no—
188C4⋊C4×C151—42no—
189C4⋊C4×C151—42no—
190C4⋊C4×C151—42no—
191C4⋊C4×C151—42no—
192C4⋊C4×C151—42no—
193C4⋊C4×C151#4112yes—
194C4⋊C4×C151#4112yes—
195C22⋊C4×C151—24no—
196C22⋊C4×C151—42no—
197C22⋊C4×C151—42no—
198C22⋊C4×C151—42no—
199C22⋊C4×C151—42no—
200C22⋊C4×C151—42no—
201C22⋊C4×C151—42no—
202C22⋊C4×C151—42no—
203C42×C151—24no—
204C42×C151—22no—
205C42×C151—22no—
206C42×C151—21no—
207C42×C151—21no—
208C42×C151—21no—
209C42×C151—21no—
210C42×C151—42no—
211C23×C151—21no—
212C23×C151—21no—
213C23×C151—21no—
214C23×C151—21no—
215C23×C151—21no—
216C23×C151—21no—
217C23×C151—41no—
218C23×C151—41no—
219C23×C151—41no—
220C23×C151—41no—
221C23×C151—41no—
222C23×C151—41no—
223C23×C151—41no—
224C23×C151#12112yes—
225C23×C151C22×D411yescharacteristic
226D4×C151—41no—
227D4×C151—41no—
228D4×C151—41no—
229D4×C151—41no—
230D4×C151—84no—
231C2×C4×C151—21no—
232C2×C4×C151—21no—
233C2×C4×C151—21no—
234C2×C4×C151—21no—
235C2×C4×C151—22no—
236C2×C4×C151—22no—
237C2×C4×C151—22no—
238C2×C4×C151—22no—
239C2×C4×C151—21no—
240C2×C4×C151—21no—
241C2×C4×C151—21no—
242C2×C4×C151—22no—
243C2×C4×C151—22no—
244C2×C4×C151—21no—
245C2×C4×C151—21no—
246C2×C4×C151—21no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—21no—
250C2×C4×C151—44no—
251C2×C4×C151—44no—
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#12112yes—
272C2×C4×C151AGL(1,ℤ/8)12yes—
273C2×C4×C151C22×D411yescharacteristic
274C2×C4×C151C2×#4111yescharacteristic
275C2×C4×C151C2×#4111yescharacteristic
276C2×C4×C151C2×#4111yescharacteristic
277C2×C4×C1512−1+411yescharacteristic
278C2×C4×C1512−1+411yescharacteristic
279C8×C151—22no—
280C8×C151—22no—
281C8×C151—41no—
282C8×C151—41no—
283C22×C151—22no—
284C22×C151—22no—
285C22×C151—22no—
286C22×C151—41no—
287C22×C151—41no—
288C22×C151—41no—
289C22×C151—41no—
290C22×C151—81no—
291C22×C151—81no—
292C22×C151—81no—
293C22×C151—81no—
294C22×C151—81no—
295C22×C151—81no—
296C22×C151—81no—
297C22×C151C2×#12111yescharacteristic
298C22×C151#52511yescharacteristic
299C22×C151#53611yescharacteristic
300C22×C151C2×AGL(1,ℤ/8)11yescharacteristic
301C22×C151#57511yescharacteristic
302C22×C151#57511yescharacteristic
303C22×C151#57511yescharacteristic
304C4×C151—22no—
305C4×C151—22no—
306C4×C151—42no—
307C4×C151—42no—
308C4×C151—41no—
309C4×C151—41no—
310C4×C151—41no—
311C4×C151—81no—
312C4×C151—81no—
313C4×C151—81no—
314C4×C151—81no—
315C4×C151—81no—
316C4×C151#54711yescharacteristic
317C4×C151#54711yescharacteristic
318C4×C151#55211yescharacteristic
319C4×C151#55211yescharacteristic
320C2×C151—42no—
321C2×C151—161no—
322C2×C151#241311yescharacteristic
323C2×C151#305411yescharacteristic
324C2×C151#305511yescharacteristic
325C2×C151#311111yescharacteristic
326C2×C151#311511yescharacteristic
327C2×C151#323511yescharacteristic
328C2×C151#324011yescharacteristic
329#24610C15111yesmaximal, characteristic, direct product factor, Sylow
330C151#2461011yescharacteristic, direct product factor, Sylow
331C2×#482C2×C15111yescharacteristic
332C2×#432C2×C15111yescharacteristic, complemented
333#2854C2×C15111yescharacteristic
334#2296C2×C15111yescharacteristic, complemented
335#2088C2×C15111yescharacteristic, complemented
336#2086C2×C15111yescharacteristic, complemented
337#2067C2×C15111yescharacteristic, complemented
338#2065C2×C15111yescharacteristic, complemented
339#1944C2×C15111yescharacteristic, complemented
340#1943C2×C15111yescharacteristic, complemented
341#1936C2×C15111yescharacteristic, complemented
342#1936C2×C15111yescharacteristic, complemented
343#1875C2×C15111yescharacteristic
344#1854C2×C15111yescharacteristic, complemented
345#1825C2×C15111yescharacteristic, complemented
346C2×#123—21no—
347C2×#121C22×C15111yescharacteristic
348C2×#117C22×C15111yescharacteristic
349C2×#117C22×C15111yescharacteristic
350C22×C42C22×C15111yescharacteristic
351#482—24no—
352#432—24no—
353C2×#107C22×C15111yescharacteristic
354C2×#107C22×C15111yescharacteristic
355C2×#106C22×C15111yescharacteristic
356C2×#106C22×C15111yescharacteristic
357C2×C4⋊C8C22×C15111yescharacteristic
358C2×C4⋊C8C22×C15111yescharacteristic
359C2×#102C22×C15111yescharacteristic
360C2×#102C22×C15111yescharacteristic
361C2×#102C22×C15111yescharacteristic
362C2×#102C22×C15111yescharacteristic
363C2×C22⋊C8C22×C15111yescharacteristic
364C2×C22⋊C8C22×C15111yescharacteristic
365C2×#97C22×C15111yescharacteristic
366C2×#97C22×C15111yescharacteristic
367#390C22×C15111yescharacteristic
368#390C22×C15111yescharacteristic
369#389C22×C15111yescharacteristic
370#389C22×C15111yescharacteristic
371#389C22×C15111yescharacteristic
372#389C22×C15111yescharacteristic
373#389C22×C15111yescharacteristic
374#389C22×C15111yescharacteristic
375#388—21no—
376#388—21no—
377#386—21no—
378#385—21no—
379#385—21no—
380#380C22×C15111yescharacteristic
381C4×C4⋊C4—21no—
382C4×C4⋊C4—21no—
383#340C22×C15111yescharacteristic
384#340C22×C15111yescharacteristic
385#340C22×C15111yescharacteristic
386#340C22×C15111yescharacteristic
387#340C22×C15111yescharacteristic
388#340C22×C15111yescharacteristic
389#340C22×C15111yescharacteristic
390#340C22×C15111yescharacteristic
391C22×D4—21no—
392C22×D4C23×C15111yescharacteristic
393C23×C4D4×C15111yescharacteristic
394C23×C4D4×C15111yescharacteristic
395C23×C4C23×C15111yescharacteristic
396C22×C8C23×C15111yescharacteristic
397C22×C8C23×C15111yescharacteristic
398C22×C8C23×C15111yescharacteristic
399C22×C8C23×C15111yescharacteristic
400#123—44no—
401#121—22no—
402#121—22no—
403#117—22no—
404#117—22no—
405#117—22no—
406#117—22no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4C23×C15111yescharacteristic
414C2×C4⋊C4C23×C15111yescharacteristic
415C2×C4⋊C4C23×C15111yescharacteristic
416C2×C4⋊C4C23×C15111yescharacteristic
417C2×C4⋊C4C23×C15111yescharacteristic
418C2×C4⋊C4C23×C15111yescharacteristic
419C2×C4⋊C4C23×C15111yescharacteristic
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—22no—
429C2×C42—21no—
430C2×C42—22no—
431C2×C42—21no—
432C2×C42D4×C15111yescharacteristic
433C2×C42D4×C15111yescharacteristic
434C2×C42C23×C15111yescharacteristic
435C2×C42C23×C15111yescharacteristic
436#107—22no—
437#107—22no—
438#106—22no—
439#106—22no—
440C4⋊C8—22no—
441C4⋊C8—22no—
442#102—22no—
443#102—22no—
444#102—22no—
445#102—22no—
446C22⋊C8—22no—
447C22⋊C8D4×C15114yes—
448#97—22no—
449#97—22no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457C24—21no—
458C24C2×D4×C15111yescharacteristic
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4C2×D4×C15111yescharacteristic
486C22×C4C2×D4×C15111yescharacteristic
487C22×C4C2×D4×C15111yescharacteristic
488C22×C4C2×D4×C15111yescharacteristic
489C22×C4C2×D4×C15112yes—
490C22×C4C2×D4×C15111yescharacteristic
491C22×C4#41×C15112yes—
492C22×C4C24×C15111yescharacteristic
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8C2×D4×C15112yes—
504C2×C8C2×D4×C15112yes—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4#41×C15112yes—
524C4⋊C4#41×C15112yes—
525C22⋊C4—24no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C42—24no—
534C42—22no—
535C42—22no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—42no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23#121×C15112yes—
555C23C22×D4×C15111yescharacteristic
556D4—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—84no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—44no—
581C2×C4—44no—
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—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#121×C15112yes—
602C2×C4AGL(1,ℤ/8)×C15112yes—
603C2×C4C22×D4×C15111yescharacteristic
604C2×C4C2×#41×C15111yescharacteristic
605C2×C4C2×#41×C15111yescharacteristic
606C2×C4C2×#41×C15111yescharacteristic
607C2×C42−1+4×C15111yescharacteristic
608C2×C42−1+4×C15111yescharacteristic
609C8—22no—
610C8—22no—
611C8—41no—
612C8—41no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22C2×#121×C15111yescharacteristic
628C22#525×C15111yescharacteristic
629C22#536×C15111yescharacteristic
630C22C2×AGL(1,ℤ/8)×C15111yescharacteristic
631C22#575×C15111yescharacteristic
632C22#575×C15111yescharacteristic
633C22#575×C15111yescharacteristic
634C4—22no—
635C4—22no—
636C4—42no—
637C4—42no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4#547×C15111yescharacteristic
647C4#547×C15111yescharacteristic
648C4#552×C15111yescharacteristic
649C4#552×C15111yescharacteristic
650C2—42no—
651C2—161no—
652C2#2413×C15111yescharacteristic
653C2#3054×C15111yescharacteristic
654C2#3055×C15111yescharacteristic
655C2#3111×C15111yescharacteristic
656C2#3115×C15111yescharacteristic
657C2#3235×C15111yescharacteristic
658C2#3240×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC2×#121×C151C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C22×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#432×C151C2semidirect
4. #2296×C151C2semidirect
5. #2088×C151C2semidirect
6. #2086×C151C2semidirect
7. #2067×C151C2semidirect
8. #2065×C151C2semidirect
9. #1944×C151C2semidirect
10. #1943×C151C2semidirect
11. #1936×C151C2semidirect
12. #1936×C151C2semidirect
14. #1854×C151C2semidirect
15. #1825×C151C2semidirect
329. #24610C151direct (N × H)
330. C151#24610direct (N × H)
332. C2×#432C2×C151semidirect
334. #2296C2×C151semidirect
335. #2088C2×C151semidirect
336. #2086C2×C151semidirect
337. #2067C2×C151semidirect
338. #2065C2×C151semidirect
339. #1944C2×C151semidirect
340. #1943C2×C151semidirect
341. #1936C2×C151semidirect
342. #1936C2×C151semidirect
344. #1854C2×C151semidirect
345. #1825C2×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#482×C1512
C2×#432×C1512
#2854×C1512
#2296×C1512
#2088×C1512
#2086×C1512
#2067×C1512
#2065×C1512
#1944×C1512
#1943×C1512
#1936×C1512
#1875×C1512
#1854×C1512
#1825×C1512
#24610151